{ "gen_seed_index": 2051, "val_shard_index": 493, "shard_count": 500, "accepted_hashes": [ [ 208646873, 17131610, 182869272, 112500411, 15131940, 378676188, 67338002, 159311093, 147006057, 57659924, 27639662, 183720103, 153772854, 125807250, 186932344, 172108006, 103227577, 102130003, 127205229, 8605854, 65175284, 73059008, 217359703, 134074828, 253053712, 242709961, 137570853, 67420153, 48577606, 471601391, 31501794, 34908296, 97679111, 485886880, 41694480, 23212785, 49833774, 37047531, 73447904, 58032353, 107581430, 79868962, 100284350, 102435337, 242815056, 40770038, 167865662, 98375763, 68468348, 25927555, 386353054, 6619895, 76110462, 99162260, 106350927, 620436659, 134059986, 330763100, 41281635, 63807580, 91849533, 163395102, 156488707, 111404515, 42015549, 10399350, 29955032, 64891291, 68293889, 144155141, 247491323, 10536052, 45079922, 305772354, 183782137, 23772527, 41640293, 143260011, 142650393, 49542489, 53994184, 41274309, 11278677, 31671744, 327590777, 40459662, 122684222, 78473436, 2932569, 506865527, 128930268, 230133151, 143011617, 82989778, 123250774, 227258518, 56444685, 8331277, 63631162, 71605476, 19989260, 140213611, 85088929, 84503868, 106433969, 43958301, 41973382, 3516307, 147310195, 61261428, 31369230, 41150495, 133335832, 134593769, 75041562, 114872670, 17770157, 215988614, 73203190, 332813312, 19320564, 138298095, 374263839, 62275874, 133228257, 249817026, 118096212, 314082836 ], [ 208646873, 12666898, 8961201, 38469866, 118639102, 71644508, 40816998, 83865091, 29091166, 47533767, 16792979, 60068500, 21797744, 9101686, 46890679, 8235605, 14740804, 3527631, 127205229, 52603789, 56254125, 21765794, 329638925, 35358962, 43776956, 52940421, 58823200, 96167046, 281560408, 79248159, 32988028, 87765144, 139635372, 47244205, 32211992, 73172693, 64252381, 55349503, 112016966, 11156392, 5373749, 40847153, 84911766, 218394526, 22366487, 122158094, 42984831, 39621385, 40678103, 11436783, 5879449, 6619895, 245575751, 27254775, 11478671, 27349627, 178941074, 195713810, 143178672, 10450520, 47057019, 16723320, 135889688, 13813595, 95155265, 10399350, 51253449, 90917354, 6774043, 42199584, 23920508, 192432869, 46654097, 14448470, 54766057, 33011699, 25041698, 51237269, 22446725, 56777930, 37560083, 1196107, 28658586, 22457797, 12627012, 29631709, 57976577, 76949201, 130795074, 123810294, 128930268, 408580054, 30417, 44253477, 64068561, 35035773, 26899075, 967457, 63631162, 38306507, 19989260, 46952563, 85088929, 3921087, 22230730, 38643629, 85094740, 204992416, 108309762, 62564940, 8202293, 32692477, 34294677, 134593769, 53279356, 15476377, 6332984, 117916731, 73203190, 22765203, 57860159, 21879234, 37200462, 34427376, 133341968, 131102347, 6837953, 92237526 ], [ 34990233, 49386836, 310977214, 112500411, 10790946, 112583394, 44383594, 39799406, 12087668, 168841521, 4627256, 24162235, 153772854, 149478652, 108156745, 64369270, 75678457, 3527631, 31813865, 52603789, 44939293, 20909816, 162539159, 198526397, 161393886, 13808571, 170613297, 67420153, 48577606, 46651171, 31501794, 36914226, 170709672, 64791647, 17625429, 23212785, 378878854, 35174283, 67187888, 174681635, 166168003, 24884765, 151336158, 18258043, 18191196, 36974163, 66660134, 98375763, 40678103, 18744693, 47167853, 6619895, 4531726, 8986541, 5338224, 7898489, 145440151, 90339777, 41281635, 63807580, 120817139, 81468551, 6803114, 111404515, 55023442, 10399350, 51253449, 10107707, 95038630, 65187729, 17418369, 78347138, 63354921, 61067957, 93937941, 61254638, 81053447, 47828004, 129594276, 18003456, 2417572, 18952833, 201252889, 22559873, 31675937, 148487512, 10009120, 76949201, 57916722, 88879817, 8728266, 9607187, 20683517, 64480955, 35361548, 21583306, 26899075, 132205844, 419208815, 38306507, 3901391, 57627581, 62921815, 16604585, 55967592, 102872325, 41973382, 321734, 72058602, 61261428, 31369230, 70219609, 112707352, 16087477, 120894889, 15661983, 479169, 18782389, 73203190, 3437980, 104427104, 79866777, 1560386, 34427376, 86968026, 204188531, 6837953, 115762074 ], [ 137015794, 17131610, 4774392, 35163288, 28658800, 15040027, 4034321, 8642694, 12087668, 50838488, 23231548, 31145708, 21797744, 20966453, 20717306, 64369270, 14740804, 3527631, 52103461, 54468022, 32895135, 6276034, 70059420, 35358962, 86517759, 57178417, 1908484, 32322602, 66769071, 45979170, 18319305, 17424448, 79585131, 620670, 25606021, 74776346, 350342, 22647814, 32210183, 73794193, 81275370, 14566648, 89096352, 4053417, 18191196, 95397890, 58560243, 8725580, 20505888, 18744693, 84909738, 143664502, 4531726, 158139611, 16317210, 147233591, 41881815, 2243408, 60056084, 8709757, 77332478, 80173107, 102239089, 27363753, 22221672, 10399350, 51253449, 63277148, 122060123, 20297887, 14199817, 43836998, 3692035, 69880468, 11340663, 33011699, 12817913, 51237269, 36487696, 27674452, 83945457, 7441894, 24297834, 23211186, 121148008, 23712744, 7093984, 34189281, 681838, 40843741, 46560934, 15769644, 47449263, 19076412, 14292755, 42854441, 4734120, 13759249, 10727644, 19635890, 12826751, 68721835, 9123227, 23632669, 34884548, 5432568, 31064025, 26070137, 13304452, 20672126, 6461460, 19409133, 512034, 1624487, 45952627, 13144528, 40916978, 5480249, 44679417, 3392916, 44433707, 49839521, 37200462, 2287897, 21002319, 1205399, 6837953, 56465311 ], [ 47204938, 75397848, 21796775, 322835635, 20460695, 45078539, 100246469, 6164421, 12087668, 66655217, 78529381, 22825634, 153772854, 73276731, 34613863, 112973786, 76510966, 119333229, 73716137, 52603789, 166816468, 20909816, 41530438, 193567962, 52575656, 131143743, 35943262, 142862519, 32071381, 72415368, 12657099, 47993837, 6275476, 116551299, 50569016, 222598967, 67295558, 37047531, 15539195, 54630133, 97893138, 14566648, 54819522, 6077992, 121512332, 117045999, 40435247, 27661019, 25174027, 236796827, 162401482, 4897227, 259155202, 21144685, 39940211, 59027058, 145440151, 84092389, 143178672, 161643878, 153641940, 47421843, 109211326, 24447316, 27320058, 29156942, 121877012, 10107707, 16711354, 176944770, 40314644, 19811943, 59213033, 111739458, 25692239, 1371815, 78774233, 78624179, 126967208, 29247290, 46747583, 23607655, 24417112, 33106560, 99342529, 117941315, 46014670, 28060534, 106118989, 78252724, 78127082, 60349234, 80422447, 28270095, 4893176, 5517228, 193314168, 42235593, 63631162, 5907253, 19989260, 26733556, 85088929, 10402329, 31292085, 103721096, 85094740, 99241186, 108309762, 62564940, 31369230, 12742031, 34115643, 24197438, 75041562, 14573876, 6332984, 40216790, 113321434, 4004398, 4098002, 171973296, 198018268, 139474803, 143883539, 96891321, 71779945, 32841582 ], [ 144113222, 34564212, 149355752, 38641705, 4273633, 367652499, 10107820, 201135476, 55425273, 96686645, 38427542, 181222651, 30034626, 17269341, 27343001, 357785093, 99555781, 69416574, 91163844, 52603789, 261656554, 74413208, 73804966, 81038753, 44986466, 8042439, 33718994, 123248383, 14218274, 93358191, 55833024, 89993895, 141371714, 177217625, 143429316, 84341496, 67295558, 37047531, 133017255, 61042311, 67959780, 50205371, 199861474, 9942513, 102247246, 122158094, 45245204, 64151353, 22134449, 25927555, 88622090, 206118780, 326981293, 108378429, 53718193, 45199176, 1608506, 15303019, 120161509, 23381004, 113776464, 8194845, 76061366, 145623833, 34018357, 68140867, 121877012, 140952673, 71114527, 51415919, 150183132, 80602847, 43610339, 126714499, 19905110, 43537581, 94603380, 10974973, 17355570, 12181794, 148829704, 73416133, 36886074, 5241892, 313679702, 25391541, 3003303, 27715441, 270630631, 123810294, 204684541, 14773061, 6929452, 53743021, 223788987, 67920355, 26899075, 280388144, 63631162, 38306507, 19989260, 203157078, 26738365, 250574275, 66766539, 108019948, 35270205, 29588104, 96680354, 62564940, 10030540, 41150495, 112707352, 83622801, 75041562, 156958569, 6332984, 22497241, 73203190, 48514910, 66979299, 197095935, 60532414, 32104364, 113968609, 54568216, 104570542, 45962765 ], [ 323829736, 97085922, 9024081, 71795229, 2003845, 7829423, 182108133, 281574122, 207757476, 245761981, 151853792, 309374526, 12314644, 59370111, 404779747, 374776458, 30837120, 322936079, 51287163, 128972561, 215252645, 17569632, 50888526, 6185677, 81649881, 399346072, 6116066, 4592023, 58822219, 21147669, 256946401, 108535708, 39949637, 90961544, 125444037, 38488021, 228500290, 410882643, 203630020, 101321538, 44288010, 39668587, 49905013, 93323456, 313741757, 54717488, 90365535, 5528881, 158281515, 128151321, 347954183, 277743034, 38774852, 92446201, 148334993, 236434540, 85722391, 49122919, 14648640, 16330527, 2470016, 163526627, 60970718, 48164330, 745699, 152204219, 131606927, 142246769, 333428971, 75709387, 337735805, 73698525, 65166919, 192485822, 443386179, 116247650, 36851458, 107055693, 95255415, 16842377, 242575373, 109922148, 93224471, 204831672, 294610782, 23974405, 134580896, 143590005, 48669013, 136403541, 77828072, 114032897, 35881988, 215275514, 125885659, 5229812, 81560313, 43573138, 155275100, 9350717, 152011750, 49065306, 164107112, 33373381, 265958825, 134518649, 160122026, 54998635, 35164341, 28840007, 364340403, 34193788, 53475045, 110223956, 303024978, 77874438, 14187457, 678048938, 39902837, 241733812, 105648214, 4882102, 4640083, 78707398, 62547840, 10306967, 4729594, 59881781 ], [ 25459491, 37049060, 72603296, 52262630, 99500377, 7829423, 81223123, 24077093, 65730728, 111941412, 975437, 49874935, 71615469, 13920403, 41138122, 21736456, 206066800, 125987862, 40700961, 2379434, 29356258, 17569632, 50888526, 34088334, 89940668, 43176167, 9823384, 8874972, 4139590, 9811063, 8019519, 70712698, 28190702, 19490018, 9919743, 15893949, 26263132, 94981046, 81882930, 109689335, 86791439, 192220914, 98787651, 124972417, 175894175, 21750994, 16984205, 61890737, 78422925, 35503121, 26014536, 36602426, 78451727, 8934078, 47110452, 13802806, 70121399, 8221730, 4802336, 17090967, 14973117, 48287149, 33395442, 48164330, 116251828, 137077539, 110304335, 20876282, 84275948, 11128502, 27757256, 78001250, 26179740, 12467909, 20588532, 116247650, 26203196, 48923300, 1864216, 430228, 45404420, 23570206, 205135835, 83512412, 315258649, 23136344, 12048473, 21325421, 85715657, 73828439, 28854300, 7492623, 112610509, 3492989, 31335309, 65146730, 89250547, 4582881, 142714957, 151945392, 207472463, 22447868, 16192010, 15381447, 100601120, 2904225, 38484741, 43313435, 118933817, 19063114, 95864983, 152283894, 50403297, 58672491, 70894319, 6342424, 14187457, 9219250, 24346444, 83135938, 67511127, 4882102, 4640083, 226294482, 34188769, 113178185, 54663602, 81159617 ], [ 36165227, 32928414, 91521943, 27899268, 65020444, 88259316, 19810182, 4301524, 207757476, 212447531, 119367130, 74243328, 6781625, 18878576, 73360125, 12466442, 73125700, 68281884, 51287163, 128972561, 69861726, 17569632, 50888526, 34088334, 112570029, 46559750, 58205030, 31043805, 85673659, 21147669, 14630227, 176721334, 13192576, 91141172, 9919743, 107832548, 89979232, 181964479, 58347541, 37153598, 161630182, 39668587, 98787651, 24447404, 24652354, 10151165, 266424797, 5528881, 84387194, 89121664, 87136946, 87331021, 72630313, 49755262, 98129014, 10654555, 20975573, 7865970, 32937631, 221127417, 1694724, 35379752, 60970718, 57173112, 57185837, 23458859, 131606927, 222233979, 58456141, 11128502, 127216809, 104722467, 65166919, 11856924, 99607073, 94449962, 162324946, 97048183, 106097577, 7071017, 104297015, 99339, 73106493, 152145799, 107784728, 23136344, 154897329, 143590005, 36523646, 73828439, 399090091, 7492623, 23401976, 19222845, 117806464, 5229812, 66490815, 27962892, 234361, 6510904, 391337657, 49065306, 22173503, 33373381, 76955315, 134518649, 140075563, 7617984, 35164341, 94194490, 312280403, 152283894, 53475045, 121173633, 184373931, 77874438, 123359600, 50254519, 39902837, 22717768, 7805551, 63339542, 41118340, 78707398, 140132668, 65473043, 33560528, 158189237 ], [ 19594632, 73957937, 20551867, 52262630, 86909672, 7829423, 3430408, 5146504, 41537995, 69172837, 23414985, 1616244, 8799657, 75666424, 24390593, 21736456, 16975223, 10053466, 36161704, 25067792, 17088587, 17569632, 50888526, 35448400, 4836413, 455495, 7868675, 2539870, 4139590, 2890425, 50069238, 38606700, 37924836, 122473174, 9919743, 15893949, 28206469, 12252824, 23580742, 35959074, 81062066, 19729940, 98787651, 124972417, 28161528, 109407790, 46963576, 14156480, 29601988, 18469628, 4981553, 10030682, 7060369, 11660676, 74241463, 13802806, 114000773, 7865970, 14648640, 17090967, 14973117, 79474628, 10055390, 15008321, 25872681, 81930663, 31754918, 20876282, 16242110, 11128502, 27213168, 7314866, 26179740, 30575984, 2603040, 109358300, 52252401, 4232416, 10845223, 1081391, 35219218, 74732900, 24766906, 57259835, 32908317, 23974405, 71541590, 34969278, 3370066, 40850499, 69025116, 7492623, 77572742, 40655153, 208109528, 44430424, 59986466, 26937902, 259457550, 321143, 101731487, 9498304, 12279330, 21836624, 41116092, 4696912, 38076923, 43313435, 11775402, 61382297, 31216632, 152283894, 34900327, 47491451, 64219365, 33402799, 14187457, 9219250, 24346444, 51565532, 53923074, 4882102, 4640083, 4241466, 43059056, 113603183, 54663602, 81159617 ], [ 44033231, 97085922, 9024081, 41152116, 55416930, 7829423, 162808080, 117250155, 28386488, 84555719, 119367130, 38162812, 86848865, 282754554, 79221645, 41574475, 46903181, 176967535, 51287163, 41939777, 69861726, 25570936, 49929162, 76107192, 21404810, 117016792, 1271261, 87953422, 36979083, 9811063, 15924384, 37980700, 130629805, 85140034, 16185339, 41577462, 53901302, 100440667, 191567029, 42639430, 108687630, 39668587, 62927217, 93323456, 16651167, 10151165, 9268796, 145478326, 39637769, 64915068, 81433197, 10030682, 141616975, 21139736, 124146228, 10654555, 153993042, 35165228, 14648640, 221127417, 35213388, 8152146, 44960964, 8374995, 9683269, 9678097, 90060050, 43609955, 10540568, 88235153, 38180397, 53821514, 26179740, 85285780, 105449809, 116247650, 687837, 31134821, 22089240, 301177218, 262056650, 981592, 96843841, 152145799, 61016156, 9273436, 42278587, 29007232, 52984891, 29302169, 4822408, 95880469, 23401976, 19222845, 89887, 141875621, 144825873, 1685604, 93563029, 3962925, 151789046, 22447868, 11252060, 38917360, 165357810, 175026777, 1030147, 93402719, 55947755, 10655704, 4650307, 14097061, 5243877, 79589722, 155107069, 77874438, 14187457, 15892021, 24346444, 11520981, 7805551, 54314133, 142662399, 49524043, 82142274, 7074001, 78457530, 59881781 ], [ 24568957, 489878596, 91521943, 109593870, 136245013, 7829423, 123781816, 253210996, 134739930, 268976636, 135158093, 74243328, 13688128, 86837586, 50053741, 39070086, 70557451, 79702298, 49478863, 57593823, 115533903, 46042705, 48133062, 34088334, 113736956, 205180899, 236527341, 128018205, 49226416, 21147669, 36342808, 30479417, 266716304, 228716868, 116663115, 167945385, 15948992, 263074053, 12969820, 194479144, 35609229, 39668587, 21200486, 18062187, 152366056, 109174654, 59451941, 111974451, 127223474, 224854834, 29058797, 25544877, 246096465, 58060604, 17366602, 36514051, 179471924, 407737957, 14648640, 168902627, 416883383, 19555073, 220279744, 47980771, 246405683, 112423991, 107754139, 44885439, 68316314, 317735, 79328800, 148214483, 73522015, 84247015, 20588532, 91305842, 51997502, 50342155, 95255415, 74104424, 9336224, 10158467, 96843841, 3604455, 74269146, 23136344, 192082432, 27649914, 7234058, 128639937, 167563789, 253410208, 202639771, 19222845, 60854711, 165881465, 98189046, 43573138, 8006431, 32328827, 10285303, 28375534, 64410245, 28666453, 165357810, 99958715, 160122026, 16109443, 35164341, 29229443, 364340403, 390287757, 1957091, 66125541, 240354627, 77874438, 14187457, 141914753, 65373577, 11520981, 135055671, 67476139, 142662399, 78707398, 250392907, 18642530, 39494183, 53225306 ], [ 46604498, 38167608, 40672129, 27899268, 53044868, 22758531, 119080967, 72679074, 25044537, 14650532, 11836062, 27018912, 71615469, 72957521, 25976978, 34146926, 47269536, 141745669, 8552619, 21811876, 69861726, 66223794, 52292132, 104388122, 186710977, 85479646, 16110520, 39720231, 85673659, 21147669, 121337832, 17844472, 28190702, 97010728, 9919743, 52512232, 13834695, 75346580, 26662702, 14136878, 28421187, 90291037, 15986411, 63974600, 91330508, 10151165, 38907518, 146210877, 48770096, 41750533, 26014536, 10030682, 127743487, 49755262, 98129014, 48102458, 17500540, 6044690, 39065278, 149653581, 12552376, 28342726, 11447161, 44829458, 28367226, 8210025, 6272103, 116873020, 1140251, 11128502, 75555842, 16493169, 1262269, 92766802, 61216899, 38454805, 52492171, 149762065, 169109617, 116802904, 113987147, 33857872, 73106493, 90545516, 64355996, 64745394, 32312309, 31413257, 6355826, 82618993, 41389283, 7492623, 23401976, 19222845, 87470056, 62454713, 49803073, 43573138, 188458582, 55658809, 25234297, 16196603, 22173503, 26167527, 83503572, 2904225, 85449438, 91468627, 35164341, 63829230, 31533926, 50978585, 108328295, 20434814, 74075083, 77874438, 122363455, 135279616, 162226585, 20672213, 7805551, 37227739, 37426293, 78707398, 43305640, 120708607, 104457659, 24495950 ], [ 13216081, 36539407, 42492388, 28797611, 136245013, 186707357, 60053269, 24065146, 38287591, 249959621, 23258688, 5722016, 3373001, 216851006, 37793319, 13112516, 21648735, 50208565, 29159332, 138673085, 69861726, 17569632, 50888526, 36846438, 181024752, 44920942, 141286325, 52559790, 4139590, 21147669, 90105736, 38606700, 37924836, 135626786, 9919743, 34571402, 75183457, 94981046, 30151807, 49771719, 44288010, 10259202, 98787651, 152677158, 239972320, 8738751, 123784266, 71391622, 89261922, 18469628, 26014536, 36602426, 374240054, 67955405, 2219404, 557991, 22877542, 120102322, 58771131, 17090967, 63621519, 79474628, 52647681, 36769191, 23182152, 125194694, 40681939, 79939435, 21700668, 248939323, 120969466, 72193363, 65166919, 60270550, 177618837, 273928038, 129678338, 63193423, 63843991, 16842377, 153159701, 26621193, 61363746, 21883622, 48897944, 103721659, 187569740, 143590005, 31099059, 73828439, 1357031, 7492623, 87013343, 19222845, 208109528, 309113711, 113461032, 43573138, 61738332, 68055126, 22953946, 6227883, 91705512, 25231044, 130126005, 126424504, 36849268, 199328976, 60066507, 61382297, 26595740, 66045757, 49197667, 91477533, 170766797, 37966319, 205816882, 10451778, 125689619, 5215278, 72041489, 67476139, 29624001, 91903483, 73978516, 166270172, 16026912, 12517399 ], [ 52978092, 73957937, 57791115, 22543064, 6360967, 53865188, 3430408, 2963064, 11338106, 28915564, 119367130, 60052903, 10122097, 75666424, 25672922, 62779960, 7619152, 10053466, 34711852, 2174876, 29848094, 41601143, 54507159, 34088334, 79930643, 14144875, 65650220, 18140653, 4139590, 6847388, 66501440, 29057547, 6963277, 239842753, 9919743, 22380816, 21408795, 39566957, 7382445, 61260240, 1692936, 30833161, 6687197, 143841102, 45109329, 35383339, 10632330, 76628932, 12281717, 83200726, 26014536, 7635835, 54059371, 21778984, 74241463, 86751626, 70431749, 22458074, 14268414, 17090967, 54981963, 11005215, 33395442, 74046888, 758187, 24263744, 69275328, 3498867, 13933753, 6931129, 77589226, 98832726, 104330210, 30575984, 16871192, 11892452, 84274828, 9172375, 10845223, 19249411, 129403970, 19213264, 24766906, 57259835, 4667868, 23136344, 47933954, 34969278, 11533985, 73828439, 7903880, 7492623, 98587144, 19222845, 25784813, 78948112, 45585018, 20960685, 8006431, 32773645, 112673462, 39128055, 48659214, 55338675, 16479757, 19909213, 2867946, 1634069, 25598930, 17299405, 31533926, 24483515, 34900327, 124412136, 43036461, 77874438, 29906894, 9219250, 52303884, 11442245, 37505409, 54968499, 12531957, 162490566, 77755570, 129670957, 54663602, 8385885 ], [ 24186444, 97085922, 91521943, 129787590, 38616369, 214118999, 64387108, 57378568, 92450345, 23281292, 149407680, 12492365, 385616, 59304918, 7894273, 124793378, 124340353, 50208565, 212393974, 120787226, 29984501, 17569632, 50888526, 6185677, 31517016, 20503570, 33382862, 46274253, 4139590, 21147669, 4348486, 48525486, 71742425, 302556272, 9919743, 22598478, 75183457, 88427717, 110155120, 49771719, 44288010, 7658704, 98787651, 52668278, 1351015, 9901299, 78170260, 30541028, 71320785, 18469628, 15383545, 13260044, 161036725, 3160786, 2219404, 30363827, 75770217, 26083446, 14648640, 186875839, 8117278, 387779, 19248583, 38445974, 180005608, 15377231, 110304335, 12512447, 113750558, 8645436, 47738403, 44171950, 65166919, 60270550, 20588532, 252539666, 36851458, 25369199, 29617518, 1081391, 153159701, 26621193, 188841, 94155543, 4667868, 23974405, 137129642, 125779475, 69036259, 193750488, 77828072, 7492623, 166899553, 19222845, 15272083, 4087478, 105507603, 13101409, 268369494, 67173398, 104267356, 9498304, 64410245, 2842731, 12058456, 2744138, 30097089, 21571738, 118933817, 23382534, 30999458, 26876243, 1250663, 55059277, 59003405, 12788432, 14187457, 9219250, 39902837, 51565532, 173842184, 4882102, 4640083, 16510963, 183176331, 73331066, 54663602, 158189237 ], [ 12732776, 97085922, 124095994, 27899268, 136245013, 117181016, 52385941, 263828175, 160144969, 88777570, 3912752, 16111310, 71615469, 216851006, 67023890, 402568709, 36090254, 50208565, 21654249, 128972561, 64447092, 17569632, 40985255, 34088334, 116257715, 43176167, 58205030, 33230295, 148252446, 133491189, 104329566, 73925885, 28190702, 167461241, 9919743, 107832548, 75183457, 21224022, 217041723, 101321538, 496560057, 17280545, 98787651, 124972417, 139203521, 11684360, 271065143, 5528881, 158281515, 18469628, 597143335, 41343853, 180534881, 231133378, 98129014, 10654555, 85722391, 26083446, 39065278, 31897130, 111051755, 146962618, 166247101, 74046888, 438841959, 23458859, 101695528, 102854649, 63046026, 11128502, 337735805, 84797387, 65166919, 180798305, 432979246, 25585962, 65833966, 192531893, 27051121, 16842377, 243336865, 77870115, 61363746, 474958457, 48897944, 23136344, 122509284, 9366299, 48669013, 164468550, 324476667, 7492623, 811633688, 339404365, 119176544, 5229812, 85042124, 43573138, 366575448, 68055126, 391337657, 49065306, 64410245, 33373381, 38142407, 2904225, 160122026, 265447768, 35164341, 94194490, 17484418, 152283894, 53475045, 13069568, 183332616, 77874438, 14935790, 200584059, 39902837, 77706648, 105648214, 67476139, 375640565, 78707398, 260688887, 385860942, 80534069, 27449273 ], [ 297616339, 97085922, 91521943, 71795229, 65020444, 7829423, 81223123, 41655514, 207757476, 280269153, 90727565, 12897912, 162302188, 18878576, 49382248, 61489810, 259690407, 50208565, 149911674, 138673085, 29984501, 17569632, 13348430, 92954559, 81649881, 164417423, 16674892, 2566108, 4139590, 21147669, 32318278, 59871131, 4757817, 272245920, 51134334, 149559773, 7904856, 12448949, 82956858, 94668052, 188043164, 149196458, 175215195, 45072563, 239972320, 8738751, 191320393, 136628721, 211461577, 18469628, 26014536, 87331021, 17070917, 37635859, 98129014, 61359862, 20975573, 6044690, 14648640, 108112636, 14973117, 35379752, 33395442, 36769191, 28367226, 23458859, 48894919, 20876282, 21940924, 11128502, 178660193, 37037815, 65771, 11856924, 46077753, 116247650, 100297601, 83060934, 95255415, 16842377, 63506446, 341375847, 44668333, 133862971, 304923290, 23974405, 464405014, 143590005, 1278808, 37437763, 119485024, 74765455, 51208093, 19222845, 149063548, 5232805, 29930575, 43573138, 167337870, 22205311, 269178695, 49065306, 64410245, 62332440, 9503010, 399896744, 102658799, 55990207, 35164341, 63829230, 27387646, 43268898, 53475045, 134404367, 22994237, 37966319, 6742091, 35768462, 162226585, 77706648, 43942944, 4882102, 4640083, 78707398, 124456633, 65473043, 54663602, 53692391 ], [ 35045781, 97085922, 91521943, 31312792, 86909672, 177622141, 3430408, 5146504, 10369549, 60665568, 19436251, 16858700, 10122097, 42278554, 88260215, 62779960, 62149801, 10053466, 51287163, 76344852, 122582249, 17569632, 50888526, 34088334, 284994790, 15587989, 70439458, 2539870, 4139590, 21147669, 82703023, 9423297, 13192576, 187666223, 9919743, 41163899, 28206469, 39566957, 7382445, 64448995, 78523311, 30833161, 98787651, 124972417, 39598691, 109407790, 46963576, 29102175, 68377561, 16255500, 15383545, 209304468, 98355276, 21778984, 74241463, 22274848, 166955470, 4698523, 68601867, 27143142, 64921445, 24647788, 166247101, 45115999, 189214701, 51402350, 131606927, 14403749, 48923971, 11128502, 53217957, 93385770, 4760458, 14199794, 20588532, 242741372, 44868206, 9172375, 72596379, 16842377, 8213627, 176068714, 24766906, 312818870, 138879191, 23136344, 63065789, 63306276, 11533985, 119502292, 223982111, 7492623, 489671335, 19222845, 68992397, 14346587, 105547168, 43573138, 72877237, 32773645, 140339137, 49065306, 64410245, 114835017, 165357810, 152096661, 92090415, 93866529, 118933817, 171124830, 466458192, 152283894, 53475045, 47491451, 240354627, 77874438, 55847006, 247891110, 84983974, 77706648, 7440492, 33183095, 169358437, 78498832, 208043842, 247199434, 54663602, 104490298 ], [ 8392308, 73957937, 91521943, 43325354, 33277103, 29132584, 6214648, 5146504, 47429823, 16677736, 19436251, 50368910, 10122097, 42278554, 36592941, 62779960, 18518610, 125722950, 51287163, 23242567, 69861726, 32527896, 16621108, 63112408, 8151623, 47168326, 10281903, 2539870, 4139590, 21147669, 71489327, 48525486, 13192576, 1422517, 7603521, 140165308, 94666390, 52373374, 46582292, 48807174, 78016063, 124550739, 84751845, 744442, 56922905, 10151165, 31339625, 47385039, 42823446, 59498353, 2885522, 30257612, 12789386, 22453053, 74241463, 87103583, 179471924, 47929753, 129080427, 16330527, 14973117, 157470458, 82559288, 97926367, 23802493, 42097710, 67222580, 14403749, 40194446, 34160510, 53217957, 36992856, 30349289, 60270550, 18865190, 139657591, 39107390, 9172375, 80840877, 19249411, 8213627, 207607721, 24766906, 117292107, 15249885, 28640259, 346554452, 15702115, 10236180, 72898421, 1514068, 49710361, 8702321, 19222845, 103895466, 140188466, 11549087, 6371671, 34881830, 6510904, 38645547, 67636068, 22173503, 96206678, 32343983, 10148911, 25889916, 185295986, 45380486, 72659136, 22496294, 202785409, 45902691, 15993024, 119098157, 37495361, 71448262, 50254519, 43538294, 44330182, 7440492, 4882102, 4640083, 30294394, 23136354, 79148097, 8438163, 202311234 ], [ 13216081, 97085922, 14964313, 31312792, 22315045, 101488030, 51233096, 6217168, 47429823, 14650532, 29497100, 55136879, 12314644, 58678307, 745238, 3655378, 44076939, 50208565, 51287163, 2174876, 29984501, 7761316, 50888526, 34088334, 21710163, 47168326, 13003503, 4592023, 4139590, 21147669, 66501440, 17945446, 124688148, 91141172, 59835873, 22598478, 21764833, 90589342, 85523594, 49771719, 41210175, 124550739, 49905013, 17488132, 141293504, 10151165, 46963576, 82196489, 272849807, 18469628, 14169246, 87331021, 182185844, 11660676, 17366602, 10654555, 47260953, 71019915, 14648640, 17090967, 16684117, 46481541, 33395442, 48164330, 114107940, 23458859, 24774563, 12512447, 230507077, 11128502, 22704879, 104722467, 43998752, 60270550, 33384915, 121681769, 102860060, 52704067, 33668695, 19249411, 262056650, 35924575, 24766906, 127378231, 151810009, 23136344, 143989921, 65261005, 1849944, 3128202, 191962791, 114032897, 23401976, 19222845, 15727200, 44430424, 11187082, 20960685, 47870131, 47319598, 3152789, 49065306, 21893811, 42464866, 39990073, 58838564, 38548184, 21571738, 35164341, 81933308, 30999458, 113486486, 93898343, 1225763, 130224976, 77874438, 14187457, 4263372, 18050038, 22717768, 7805551, 5386651, 29624001, 78707398, 12114064, 51706520, 4729594, 158189237 ], [ 21192448, 25465273, 9024081, 218893519, 25910147, 201882241, 231629123, 281574122, 299202022, 14650532, 119367130, 74243328, 12314644, 157318642, 106825335, 192486098, 106432628, 342196362, 39005476, 181204652, 51219801, 17569632, 50888526, 167079541, 79409986, 73818482, 33382862, 8874972, 4139590, 21147669, 216228118, 120073101, 266716304, 90961544, 9919743, 85640395, 77190018, 271151749, 42903468, 109689335, 44288010, 92862550, 34225835, 10231917, 30200234, 54717488, 16984205, 31065868, 102949115, 128151321, 399385248, 277743034, 234638775, 153623673, 47110452, 557991, 27033352, 182765512, 62574497, 123626732, 33668594, 70577010, 80522060, 3549008, 518122292, 114734156, 131606927, 85464298, 163030879, 11128502, 71141675, 6038789, 65166919, 22062376, 17857116, 11067886, 100825265, 42159915, 1008115, 16842377, 38633454, 146925050, 118577222, 63985335, 155501853, 178963201, 107514303, 125779475, 35901352, 188389799, 41389283, 7492623, 131013847, 19222845, 15272083, 62454713, 44055985, 43573138, 110766261, 9350717, 207472463, 49065306, 64410245, 42464866, 18629613, 71757534, 100143768, 43313435, 71707159, 25672973, 66908106, 33582633, 53475045, 178119919, 303024978, 36706662, 156816211, 9219250, 19888394, 83135938, 10094996, 36431657, 4000571, 16510963, 73978516, 73331066, 54663602, 59881781 ], [ 141177512, 40947506, 90643145, 44906775, 68797297, 7829423, 41532827, 10728620, 47429823, 20633826, 119367130, 74243328, 8799657, 13949632, 57273016, 21034128, 21648735, 125987862, 54252897, 123248261, 17088587, 61045019, 52292132, 12169665, 4836413, 46559750, 17558543, 41914876, 36979083, 9811063, 34202976, 72761192, 93886059, 129098722, 9919743, 280867, 85660278, 316244202, 23580742, 26723723, 36108440, 74514401, 98787651, 45341313, 107118123, 12150853, 33535188, 31065868, 79187697, 35503121, 26014536, 35578335, 36623002, 67955405, 46217027, 13802806, 179471924, 7865970, 30868299, 38389882, 33668594, 46481541, 33261372, 15008321, 4695700, 23458859, 79036542, 20876282, 43321300, 11128502, 140177897, 75358170, 26179740, 30575984, 20588532, 116247650, 35621264, 42323640, 10845223, 76106536, 86903276, 23948815, 24766906, 20985205, 60151639, 23136344, 19240949, 133873344, 123811467, 73828439, 157498522, 7492623, 37657526, 19222845, 39230663, 5229812, 198908481, 6823891, 38725004, 47319598, 25234297, 22447868, 27030575, 9919430, 29603894, 94396625, 52774061, 10136638, 35164341, 94194490, 31533926, 86332701, 21541735, 37468453, 157498963, 9524705, 4778538, 92478259, 24346444, 20672213, 32182005, 67476139, 29551890, 46661621, 12114064, 166270172, 42261887, 107971872 ], [ 24568957, 97085922, 16012656, 44906775, 33277103, 66038410, 357255323, 253210996, 50378526, 214644407, 56884539, 28429720, 12314644, 113308800, 63040610, 61091509, 206066800, 58008113, 29159332, 138673085, 48757041, 17569632, 50888526, 34088334, 101437440, 163246600, 30126758, 46274253, 4139590, 21147669, 182484876, 2868832, 121795955, 159820080, 2346685, 23372866, 85660278, 160688001, 240537181, 20934595, 44288010, 10259202, 98787651, 744442, 55324866, 54717488, 143366893, 138021445, 58222733, 128151321, 26014536, 87331021, 154469410, 153623673, 73129936, 557991, 24442330, 9884510, 14648640, 228820185, 150940243, 15363896, 157835827, 16204944, 113507562, 6867051, 110304335, 20876282, 17798266, 11128502, 47738403, 225094110, 65166919, 60270550, 20588532, 29962433, 39107390, 463080578, 12156992, 16842377, 70737589, 68087544, 187060446, 17277866, 17843742, 23136344, 314848639, 143590005, 74453127, 73828439, 1357031, 7492623, 8702321, 19222845, 62289908, 5232805, 88012832, 15323433, 114793140, 34787540, 207472463, 28210224, 64410245, 9919430, 19451382, 36643396, 52719948, 43313435, 35164341, 101462419, 26595740, 67731704, 53475045, 6531870, 136240490, 40457437, 14187457, 9219250, 5548202, 4568447, 21143046, 40941960, 85358323, 78707398, 127778075, 86728952, 54663602, 4334444 ], [ 297616339, 260039884, 91521943, 204154990, 65517730, 7829423, 138825044, 130453420, 153079691, 85692249, 151853792, 74243328, 4691642, 244158965, 119055139, 72441900, 109549644, 69607594, 51287163, 28941804, 185887861, 46693874, 48133062, 65539495, 136407034, 81912543, 311684793, 75995835, 36979083, 9811063, 11037895, 385182958, 47875598, 370407950, 299204887, 147134212, 118469328, 239543388, 30890034, 139661491, 14710611, 150091092, 102112006, 124972417, 71913964, 74595228, 24795869, 164318304, 8618214, 950965, 26014536, 72247099, 369123782, 348137428, 43715781, 13802806, 179471924, 150389399, 14648640, 140445479, 17639151, 231465508, 68858332, 13380898, 189214701, 137077539, 10879380, 21907393, 151537820, 11128502, 22704879, 104722467, 26179740, 30813733, 81268002, 76258876, 11452209, 182438260, 43285457, 6222690, 73122758, 48006655, 68071769, 26791723, 119630748, 23974405, 219853451, 143590005, 13517725, 73828439, 20713984, 52875576, 26591430, 19222845, 148424960, 255223473, 182927586, 43573138, 74576854, 90830180, 250550913, 22447868, 64410245, 132992065, 41318043, 14091034, 102686208, 291330493, 35164341, 33735839, 8198026, 121990789, 30118497, 39867477, 35871172, 77874438, 14187457, 135739122, 19888394, 182220662, 271186117, 14687723, 17832662, 66304501, 194497442, 100465845, 309788630, 158189237 ], [ 254768280, 97085922, 91521943, 96597209, 136245013, 7829423, 143294559, 212672430, 31816588, 77985592, 111594686, 74243328, 13688128, 58558881, 171103628, 130913996, 35635354, 1320109, 56787964, 30671516, 1549220, 66223794, 54507159, 117605892, 101437440, 200747968, 86146102, 8874972, 4139590, 21147669, 145809542, 17844472, 5807442, 85384897, 9919743, 158620482, 85660278, 111646838, 178068571, 26723723, 36108440, 26317362, 5690126, 124972417, 142308760, 8738751, 166347001, 19481403, 28791263, 56346379, 84309054, 74487567, 119973832, 28863318, 19552087, 123520088, 9874994, 46697041, 14648640, 221127417, 3042389, 46481541, 1273891, 15008321, 113542778, 23458859, 29971656, 12512447, 25329720, 11128502, 140177897, 166194665, 104330210, 60270550, 20588532, 116247650, 11452209, 233412628, 12770139, 19249411, 36187766, 197603062, 40525522, 152145799, 75852891, 23974405, 420273723, 100320188, 144446519, 73828439, 105259582, 7492623, 123803339, 19222845, 15727200, 99905086, 26063013, 43573138, 212441138, 47579964, 25234297, 230448196, 64410245, 28107, 29603894, 31883512, 85449438, 21571738, 118933817, 140665322, 31533926, 64565523, 1957091, 85561760, 35871172, 37966319, 14187457, 30194707, 37957511, 83135938, 23060614, 76350134, 3735512, 39389127, 12114064, 57524488, 35388483, 123716021 ], [ 407326892, 167928483, 91521943, 324328907, 136245013, 38081745, 81223123, 224651096, 47429823, 14650532, 151853792, 60970584, 60650348, 23893054, 36634874, 389323284, 337889696, 148363555, 108875799, 138673085, 29984501, 254325377, 54507159, 159577372, 397432195, 47168326, 16674892, 325756812, 4139590, 21147669, 24016066, 14104276, 168067667, 54435330, 546383806, 107832548, 140274632, 12448949, 170393881, 194479144, 188043164, 190854385, 301610627, 124972417, 229158087, 181581527, 46963576, 204926856, 250035824, 223778508, 26014536, 132918258, 102159811, 24471481, 74241463, 221675253, 17234854, 195371164, 46860272, 108112636, 96774875, 22257844, 33395442, 118305859, 72999968, 429087758, 131606927, 500496918, 347209771, 11128502, 298243910, 93778652, 14400624, 54802388, 174642782, 69681164, 19107564, 287653378, 155212620, 19249411, 105609576, 99261507, 24766906, 188264330, 292913821, 742093241, 46595830, 143590005, 200796573, 167133208, 399090091, 173718580, 20668402, 338810044, 166471563, 5229812, 49803073, 43573138, 52618373, 158890012, 458518823, 79870237, 64410245, 42464866, 265958825, 21093811, 102658799, 112688122, 14087291, 63829230, 150720693, 141364771, 86322274, 75181303, 294626012, 77874438, 214565871, 44411510, 39902837, 83135938, 43942944, 67476139, 63737771, 78707398, 77951698, 144915952, 54663602, 158189237 ], [ 69425260, 90161977, 91521943, 74250924, 125013236, 7829423, 21563711, 114864725, 47429823, 16677736, 11836062, 14402100, 42108825, 249633531, 57273016, 41794532, 7913937, 20522462, 16111413, 46032413, 29984501, 15266729, 45398232, 34088334, 100638365, 47168326, 22853199, 39720231, 36979083, 9811063, 96333330, 10552554, 40148963, 87829367, 9919743, 75232070, 89979232, 57957112, 9985536, 63821105, 65612837, 88187737, 17055804, 45341313, 1351015, 8738751, 22487531, 53726468, 193688476, 78224680, 26014536, 52749008, 114005251, 67955405, 115547, 13802806, 55492492, 71019915, 23757037, 149653581, 78969574, 75547099, 11447161, 32535140, 51274772, 4770883, 107754139, 20876282, 5332193, 11128502, 78451710, 31668833, 2585693, 83174504, 55101405, 45644449, 11452209, 9886437, 9715890, 74104424, 70737589, 46523739, 11914058, 130404907, 6163357, 2195641, 32312309, 28284679, 25668354, 37437763, 40205379, 7492623, 2224546, 19222845, 85318267, 5229812, 26063013, 43573138, 8006431, 82379273, 156622523, 22447868, 27030575, 13618800, 17147703, 26796984, 130163979, 79723523, 20953012, 36831880, 31533926, 18245555, 17980645, 75222315, 78940650, 37966319, 23962497, 124298503, 24346444, 94962878, 34534887, 37227739, 3735512, 4034821, 3638755, 22005357, 13486249, 158189237 ], [ 133570545, 97085922, 1971494, 74511019, 136245013, 7829423, 157367015, 53339978, 11338106, 27444646, 119367130, 74243328, 84520594, 59370111, 90454093, 6264083, 18518610, 44778422, 44708668, 92837449, 57071156, 66223794, 21425487, 34088334, 8151623, 117016792, 202725313, 71853420, 85673659, 21147669, 164556959, 30479417, 111407, 104786235, 130064242, 107832548, 85660278, 12448949, 178068571, 101321538, 53911896, 88545254, 43635116, 124972417, 46227435, 10151165, 85158669, 19481403, 149910560, 85786520, 27794976, 52749008, 12789386, 31737319, 17366602, 34775875, 127402984, 6044690, 14648640, 16330527, 25179264, 163526627, 69874276, 48164330, 28367226, 145111827, 107754139, 72852871, 50326426, 11128502, 21032695, 28621486, 104330210, 118429636, 20588532, 94449962, 11452209, 71500726, 12770139, 144421896, 225823557, 156045941, 93224471, 261492857, 119630748, 23136344, 48224322, 143590005, 182727922, 36779275, 40205379, 32053912, 23401976, 19222845, 87932614, 5229812, 9904138, 34010383, 225022953, 30702354, 25234297, 64147911, 22173503, 328515034, 125055623, 31883512, 30097089, 15500080, 35164341, 50113690, 31533926, 67470849, 62702179, 147019294, 19606445, 12788432, 14187457, 135279616, 39902837, 79507411, 7805551, 15816928, 3735512, 4034821, 124456633, 123861934, 116963720, 8385885 ], [ 115515769, 34383241, 38302858, 125365619, 136245013, 7829423, 81223123, 40349995, 171991373, 130413445, 51523141, 34518685, 6423718, 72957521, 12129002, 61489810, 46089273, 260439337, 16111413, 111177740, 29984501, 3124335, 226998, 92359483, 32404941, 6968936, 147914446, 46274253, 39718218, 21147669, 34047189, 70712698, 40148963, 19490018, 9919743, 90739388, 95726195, 6584236, 9985536, 78702620, 5492754, 29787385, 98787651, 124972417, 39853586, 57317810, 191320393, 97257504, 9303940, 67641205, 65981031, 85755000, 45328380, 87639277, 62917277, 86751626, 62931609, 155214658, 23757037, 33823205, 72763104, 45391844, 33395442, 23936533, 61780481, 4770883, 43392952, 13989391, 94420609, 11128502, 78451710, 3453250, 2585693, 12467909, 154549049, 28700012, 73825580, 22464142, 145075117, 60640075, 41231271, 143520189, 11914058, 32289590, 42126297, 21484554, 164602279, 80055723, 1278808, 73828439, 28854300, 7492623, 2224546, 19222845, 55887444, 5229812, 76718861, 20716534, 58607856, 33298379, 31685210, 79870237, 13100961, 62332440, 34907452, 10148911, 36937843, 55492560, 35164341, 36831880, 14868372, 18245555, 17980645, 75222315, 23536374, 77874438, 1330228, 99116131, 163214, 94962878, 90197418, 9601057, 6464083, 78707398, 248994150, 124139919, 39011870, 51214475 ], [ 82816544, 54737019, 38302858, 74511019, 31589371, 7829423, 56853344, 41655514, 10369549, 16677736, 119367130, 69354034, 84520594, 61896739, 25976978, 30898910, 18518610, 148363555, 9844066, 56392526, 89229055, 15266729, 54507159, 1333810, 8151623, 15587989, 47051623, 71806700, 47027132, 21147669, 16331973, 220132, 29973563, 6729956, 152324458, 180270267, 89979232, 23823961, 37541887, 36403115, 88913394, 48946158, 12920141, 124972417, 94391659, 72821861, 46963576, 27840389, 170344726, 85786520, 26014536, 3549029, 12789386, 21139736, 74241463, 30058915, 80207733, 57345974, 14648640, 3978952, 78969574, 2672366, 54596752, 6921616, 8952830, 122955691, 131606927, 187205355, 24226835, 11128502, 11796354, 31668833, 10258276, 84867016, 6748453, 45644449, 44868206, 90102240, 19353368, 47042099, 77840462, 113041244, 24766906, 90545516, 56135772, 21484554, 43319394, 52226857, 35901352, 20083284, 191962791, 27381846, 2224546, 19222845, 85318267, 198999465, 35003869, 43573138, 93648340, 125556844, 207298763, 79870237, 64410245, 157165195, 34907452, 1543963, 76288279, 31211338, 92495926, 12699353, 31533926, 20229549, 132174176, 35539146, 38665673, 8699484, 14187457, 25040605, 141767675, 39777883, 21805469, 54314133, 919956, 6982783, 7940278, 72724469, 57156642, 125388862 ], [ 73278332, 73957937, 761466, 1046882, 125013236, 7829423, 11334436, 92093921, 31816588, 85655049, 11836062, 55136879, 26477794, 16843911, 116293349, 39730456, 30394921, 63649798, 21654249, 31062301, 69861726, 209982333, 54507159, 5971639, 71670348, 3571107, 26468430, 25215981, 84998454, 21147669, 131766258, 15801831, 130629805, 103716003, 9919743, 16346034, 122616392, 80392448, 9985536, 10679662, 12800315, 13424672, 98787651, 124972417, 18086601, 122171677, 8899107, 33027000, 64141567, 52133795, 24494642, 52749008, 141616975, 71550623, 11770888, 34775875, 17500540, 126129628, 66967279, 44086687, 22719135, 96510512, 43978709, 160754148, 72999968, 4770883, 24234743, 12512447, 16242110, 11128502, 25442582, 48853142, 79314695, 18583904, 33384915, 38454805, 1375471, 62078491, 169109617, 108979105, 12183523, 36573181, 24766906, 49882778, 128009434, 23136344, 30001796, 34969278, 12375415, 7763245, 43799554, 7492623, 47854487, 19222845, 15727200, 95982930, 100039345, 14280183, 3522355, 72888543, 162566142, 133984609, 52718830, 18143679, 83503572, 59792359, 19570961, 21571738, 12821873, 2197155, 31533926, 79397894, 17980645, 75181303, 195534471, 77874438, 14935790, 9219250, 83706078, 7755034, 12610673, 108217939, 142662399, 4034821, 50609419, 98178853, 116963720, 20795764 ], [ 407326892, 90161977, 34280264, 312162500, 33277103, 7829423, 81223123, 99774050, 47429823, 54421142, 136486186, 74243328, 71615469, 249633531, 57273016, 71167525, 337889696, 32254316, 51287163, 138673085, 29984501, 15266729, 54507159, 34088334, 133564468, 3571107, 16674892, 202500137, 85673659, 241538542, 24016066, 148291682, 40148963, 44942891, 9919743, 107832548, 122616392, 12448949, 3477864, 123486654, 152101415, 98449289, 98787651, 124972417, 229158087, 181581527, 46963576, 145062040, 193688476, 9467251, 26014536, 132918258, 114005251, 11865493, 74241463, 600042, 24442330, 112440060, 111902017, 15659086, 96774875, 24647788, 33395442, 42335783, 51274772, 42677988, 6888789, 6025281, 150232817, 11128502, 47738403, 49731275, 57974899, 194348322, 71469682, 16865240, 101611232, 244837947, 12770139, 78924209, 240848654, 91258289, 11914058, 10467512, 180423004, 23136344, 341209521, 103520478, 252921579, 73785543, 264713914, 7492623, 8702321, 19222845, 62289908, 5229812, 26063013, 15323433, 6461659, 68922834, 92747471, 218835269, 48548160, 171852636, 19451382, 150049881, 14861593, 112688122, 5959089, 94194490, 75069391, 152283894, 108892514, 3457816, 126226810, 1778507, 123359600, 124134633, 163214, 94962878, 236385124, 18566907, 3735512, 28707285, 7940278, 7517031, 177201774, 20795764 ], [ 63758431, 65543923, 154190, 3203906, 3882449, 7829423, 81223123, 175062077, 119218474, 60470620, 119367130, 74243328, 71615469, 3531528, 57273016, 18429975, 124340353, 148363555, 170804124, 138673085, 14201346, 59778755, 18045883, 34088334, 21710163, 15254403, 26468430, 62143356, 85673659, 21147669, 85262449, 9378073, 130629805, 19490018, 9919743, 22598478, 110152563, 263074053, 27799498, 76884552, 26625740, 145542410, 98787651, 124972417, 239972320, 62203086, 191320393, 13846716, 111660739, 8700960, 9640565, 36602426, 181725347, 53591605, 54048224, 3130530, 177760154, 39648938, 66967279, 32460033, 96774875, 115978347, 33395442, 16556360, 223639373, 8767110, 20582211, 121142618, 94420609, 11128502, 65080746, 102620064, 120854666, 12467909, 55101405, 21182439, 11452209, 110817128, 12770139, 74104424, 41231271, 286852116, 105240896, 45077948, 106760604, 23136344, 146800950, 65933766, 79455945, 1660998, 28854300, 7492623, 251167396, 19222845, 31074504, 5229812, 100039345, 43573138, 8006431, 11531983, 25234297, 79870237, 64410245, 18143679, 165357810, 31883512, 144230593, 26158077, 35164341, 94194490, 14868372, 51741633, 1250663, 147019294, 67308819, 22568159, 66732616, 163675691, 39902837, 51565532, 113865562, 67476139, 3735512, 78707398, 121871649, 166270172, 38971413, 158189237 ], [ 63235793, 97085922, 40672129, 117514230, 70390093, 7829423, 173796910, 219789550, 216164880, 111941412, 293018423, 41020370, 71615469, 80263876, 110703301, 13112516, 569091678, 148363555, 51287163, 138673085, 80759830, 202963759, 49929162, 27454299, 31517016, 43176167, 16674892, 8874972, 148252446, 98455822, 32318278, 240356324, 130629805, 187451739, 9919743, 75678157, 58025495, 262774133, 110155120, 194479144, 108687630, 5872034, 98787651, 124972417, 94391659, 5564078, 169195268, 57471150, 82999522, 79050170, 26014536, 10030682, 246096465, 11865493, 47110452, 28456575, 179471924, 234822631, 14648640, 108112636, 44523215, 48287149, 38504136, 48164330, 109143133, 23458859, 153379140, 161013425, 174174712, 11128502, 140177897, 94246456, 6127182, 84867016, 6748453, 116247650, 11452209, 457962844, 12770139, 47042099, 280281747, 91258289, 425237893, 161401484, 8841244, 23136344, 346554452, 143590005, 149029918, 11621916, 142284667, 7492623, 120418407, 140883167, 61536432, 65146730, 100039345, 43184542, 154662196, 68922834, 22953946, 470319412, 53806064, 80565412, 339984246, 31883512, 137890970, 112688122, 118933817, 12699353, 104267515, 44545905, 1250663, 26677713, 15882741, 77874438, 14187457, 266470597, 155051771, 87854678, 69622563, 76350134, 3735512, 4241466, 208043842, 92135074, 18968078, 12517399 ], [ 63235793, 37116659, 91521943, 218893519, 116902286, 256402148, 8644253, 230690594, 11338106, 36731599, 71647099, 14590516, 47098447, 46151466, 7894273, 21736456, 7913937, 121674055, 102002649, 19930840, 29984501, 88262117, 54507159, 27454299, 31517016, 43176167, 9823384, 8874972, 4139590, 21147669, 129185151, 24784585, 92420806, 35885056, 9919743, 14912663, 42024416, 35071198, 86884185, 125118657, 59568153, 92862550, 98787651, 45341313, 94391659, 157333757, 26288013, 57471150, 102949115, 78224680, 26014536, 38680821, 51243350, 21139736, 47110452, 28456575, 55492492, 64185138, 11163758, 53835269, 96774875, 48287149, 33395442, 65262583, 7521598, 180770931, 54766529, 33421319, 36603489, 11128502, 65080746, 153807813, 111539325, 45626345, 6748453, 76258876, 11452209, 4232416, 12770139, 17782512, 35219218, 46523739, 45655649, 152145799, 32908317, 35296671, 23406230, 134332667, 149029918, 32243917, 159549598, 7492623, 101147976, 19222845, 134247432, 37853585, 50727531, 43184542, 21968933, 210341802, 41289887, 164063743, 27030575, 9416564, 32790612, 31883512, 116933589, 41310211, 35164341, 12699353, 8198026, 44545905, 1250663, 89038321, 15417108, 77874438, 48268857, 107331995, 162226585, 83135938, 233000712, 54314133, 3735512, 4241466, 118240619, 224365826, 54663602, 8385885 ], [ 178684263, 12292471, 2902252, 27899268, 125013236, 41163659, 182108133, 98060100, 47429823, 167714679, 22907577, 17470031, 71615469, 75666424, 55628023, 79205732, 9235168, 49342444, 44708668, 40620308, 35224085, 46042705, 43331725, 34088334, 15072477, 43176167, 58205030, 26283533, 14099299, 21147669, 145809542, 17945446, 91637449, 76451841, 9919743, 5776209, 13186355, 85950293, 178068571, 26723723, 36108440, 39668587, 77608895, 32443735, 141293504, 1403991, 7166190, 82196489, 107540723, 99727134, 68774826, 63021486, 2031412, 67955405, 23441544, 23506975, 69399563, 6044690, 11163758, 177183081, 10098227, 65064986, 21436150, 48164330, 28367226, 23458859, 131606927, 22631758, 16242110, 11128502, 14637357, 3453250, 164498521, 45673168, 7722635, 52075463, 9424331, 6235430, 12770139, 26225179, 76332171, 77870115, 24766906, 26791723, 48897944, 23136344, 25127691, 34969278, 52984891, 25591598, 122277940, 7492623, 18546381, 19222845, 39377027, 4646810, 100039345, 43573138, 174181892, 32328827, 129892812, 79870237, 44072407, 26342966, 29603894, 31883512, 160122026, 112688122, 35164341, 57578459, 49678368, 48477781, 36327392, 80899391, 23536374, 22788190, 14187457, 84811366, 18050038, 51565532, 32182005, 9601057, 3735512, 14184172, 78900336, 420897762, 39011870, 16429644 ], [ 18143714, 83328899, 57332646, 35226275, 136245013, 32711496, 110572172, 2963064, 47429823, 130105926, 27598405, 74243328, 71615469, 25310052, 95616906, 32762412, 7619152, 9309138, 21654249, 138673085, 29848094, 3747843, 19706803, 92952922, 8754410, 43176167, 70770936, 23079724, 23647385, 235116987, 146702589, 118197882, 130629805, 44942891, 9919743, 45574469, 137433525, 304710458, 3477864, 132617706, 11142073, 35644099, 29798638, 124972417, 222415398, 55750092, 1085678, 2257890, 58222733, 85786520, 26014536, 48322024, 2674843, 165173119, 74241463, 74826905, 104899381, 27624956, 11163758, 27035160, 366682776, 29606807, 57315277, 74046888, 758187, 158669185, 12232, 3498867, 231391366, 11128502, 77589226, 3453250, 10258276, 150838178, 258475877, 89299733, 142157452, 36564773, 145075117, 55521917, 158750746, 47292164, 24766906, 10467512, 64355996, 77275988, 127657585, 61818259, 31459281, 73828439, 191962791, 7492623, 77572742, 19222845, 7384956, 5229812, 47946239, 43573138, 14314118, 82379273, 25234297, 98413165, 64410245, 154119087, 165357810, 185547770, 30097089, 135052284, 35164341, 9464203, 31533926, 20229549, 34900327, 15592437, 23536374, 12788432, 14935790, 10451778, 39902837, 94962878, 9391604, 9601057, 37426293, 78707398, 127778075, 120708607, 47959539, 20569385 ], [ 273016610, 97085922, 74388759, 359755682, 1773737, 270127773, 182108133, 281574122, 250908396, 167714679, 151853792, 74243328, 71615469, 59370111, 180966442, 73765661, 228736908, 606451574, 81994575, 128972561, 274219147, 280742874, 54507159, 418179654, 31517016, 373174701, 46590480, 159392171, 85673659, 21147669, 85262449, 264797023, 92691823, 177211952, 9919743, 107832548, 105430492, 321137500, 110155120, 179805155, 53911896, 570585111, 49905013, 124972417, 57221722, 37449118, 286802112, 5528881, 76188217, 252936142, 227872584, 280921103, 585988611, 234840383, 98129014, 7498357, 179471924, 13844790, 324854225, 16330527, 405282051, 163526627, 166247101, 262811616, 14519378, 301315919, 131606927, 369286778, 45906995, 11128502, 415249929, 48401055, 59956362, 104884329, 101765355, 152285872, 11452209, 100943889, 169109617, 69209391, 247884179, 48418302, 39992038, 131598524, 70412636, 169104979, 143989921, 143590005, 48669013, 88611245, 269410632, 7492623, 369383859, 19222845, 42708253, 5229812, 397986618, 43573138, 860043771, 88096759, 407688557, 40645628, 64410245, 33373381, 165357810, 31883512, 116390549, 291330493, 35164341, 94194490, 232195404, 51741633, 1250663, 194919342, 78940650, 77874438, 174808732, 633908261, 39902837, 94962878, 108504473, 295251508, 243627262, 78707398, 63253715, 289593839, 54744478, 158189237 ], [ 407326892, 97085922, 93699907, 157120283, 12232116, 32711496, 81223123, 154124659, 11338106, 168862693, 22907577, 74243328, 87771219, 156645139, 49382248, 368708785, 146884929, 148363555, 43663793, 138673085, 29984501, 66223794, 54507159, 34088334, 151694873, 34948545, 63855698, 152768237, 4139590, 147522623, 78481542, 43406314, 92420806, 209947214, 192051111, 128758332, 69656715, 146702733, 301313316, 194479144, 172588415, 88545254, 49905013, 124972417, 197749573, 108523830, 166347001, 45889349, 211461577, 86787225, 26014536, 53575456, 246096465, 67955405, 98129014, 278695139, 3093796, 64185138, 407909819, 55428509, 20231508, 12344388, 33395442, 79785124, 25872681, 289682939, 21391944, 12512447, 10875213, 11128502, 101377208, 361508165, 286107752, 6787830, 20588532, 129627207, 194068910, 4232416, 129889848, 19249411, 185452229, 156045941, 228539151, 67043916, 179762713, 23136344, 143989921, 143590005, 71252376, 25591598, 163252081, 114032897, 33788022, 19222845, 15727200, 104997302, 5674697, 34010383, 230720224, 264784005, 25234297, 218835269, 26617542, 293679750, 14910437, 54920280, 146392488, 21571738, 35164341, 246849170, 23552005, 344513851, 34900327, 147019294, 70573851, 22788190, 123359600, 43714819, 87850694, 83135938, 282817243, 76350134, 256040500, 78707398, 43413239, 1832243, 54663602, 8385885 ], [ 104428133, 75324996, 91521943, 27543629, 136245013, 7829423, 3430408, 141902902, 172185081, 54375152, 42522121, 61471504, 71615469, 170419165, 57273016, 102844704, 35635354, 2232413, 5312691, 16129055, 29984501, 176407070, 54507159, 34088334, 37152414, 11240945, 16674892, 109224622, 15008200, 21147669, 23266227, 15907999, 39949637, 19490018, 9919743, 28978786, 76775470, 43011109, 163467739, 61260240, 11142073, 124550739, 43150011, 124972417, 72742609, 18939602, 24750998, 145062040, 158281515, 25316410, 20603703, 87331021, 111175371, 21778984, 58723682, 21252220, 16762983, 80542162, 76314478, 9555816, 416883383, 173398000, 33395442, 173936168, 33007520, 83957561, 131606927, 173724274, 94420609, 11128502, 15913403, 154347737, 104330210, 12467909, 260508829, 41036483, 8953505, 107055693, 19353368, 37710939, 373099250, 121529825, 93224471, 243423766, 4667868, 23136344, 9650165, 143590005, 36523646, 59380184, 28854300, 7492623, 174347531, 88898682, 79091183, 5229812, 47946239, 43573138, 207440399, 285271196, 99357158, 79870237, 64410245, 223152991, 130126005, 42055225, 160122026, 55990207, 24032403, 41068134, 31533926, 79449101, 47260902, 16286261, 54283146, 77874438, 9457991, 250617630, 39902837, 22717768, 32182005, 67476139, 6464083, 18538359, 40782327, 165894262, 54754881, 108778247 ], [ 251818560, 56680051, 57332646, 71795229, 25910147, 86700429, 11334436, 10728620, 11338106, 19084103, 3693519, 55136879, 71615469, 75666424, 57273016, 18429975, 5620604, 60098775, 21654249, 23242567, 17088587, 194393506, 54507159, 5971639, 4836413, 15344011, 10281903, 9297054, 4139590, 9811063, 50069238, 41544785, 39949637, 3345264, 9919743, 22598478, 140274632, 90589342, 23580742, 109689335, 161219512, 74514401, 49905013, 124972417, 24402478, 181581527, 46963576, 124994686, 193688476, 85786520, 3398686, 4856150, 12789386, 67955405, 5467318, 12544804, 97134850, 27624956, 66967279, 117243789, 96774875, 14572170, 11447161, 74046888, 1047396, 23458859, 2235822, 102854649, 50326426, 11128502, 65080746, 104722467, 26179740, 28730007, 174642782, 9022882, 11452209, 41552229, 12770139, 19249411, 49030490, 70360465, 24766906, 77888265, 119630748, 23136344, 32312309, 132394513, 9210121, 25989493, 53095064, 7492623, 77572742, 19222845, 21436866, 5229812, 100039345, 14280183, 93648340, 11632480, 123075091, 22447868, 7659980, 23236097, 18629613, 31883512, 52774061, 43313435, 162390990, 94194490, 977515, 51741633, 15506915, 2507771, 78940650, 26406378, 14935790, 9219250, 24346444, 32468686, 10094996, 36431657, 3735512, 62846587, 136348263, 2809997, 13252763, 8385885 ], [ 63644416, 50435552, 13184479, 31312792, 25910147, 32711496, 6549086, 119874448, 56920750, 35443405, 86101458, 28182761, 65689087, 103033713, 3102241, 6574144, 109549644, 60098775, 7561879, 28941804, 26522084, 66223794, 54507159, 34088334, 48688827, 193854795, 166394708, 75995835, 4139590, 9811063, 28316994, 78243122, 54332702, 64179056, 9919743, 95280171, 43326700, 49964314, 33654273, 100101759, 53911896, 16195468, 98787651, 2541144, 18493729, 72681927, 18263058, 5528881, 31732514, 75632376, 26014536, 53575456, 33567934, 165173119, 81751156, 13802806, 3093796, 13844790, 14658892, 17215719, 249842062, 38388152, 164243119, 23951579, 25872681, 52712657, 21391944, 3781347, 20084475, 7453238, 22704879, 32422260, 26179740, 22062376, 4791503, 61669035, 11452209, 4232416, 13175497, 19249411, 49042019, 68132784, 91798149, 19026439, 110346523, 23136344, 30001796, 56848809, 48669013, 25989493, 800507, 7492623, 26591430, 19222845, 15727200, 44916132, 67706453, 23010902, 6391543, 14989155, 25234297, 22447868, 7659980, 23236097, 18629613, 21527143, 30097089, 21571738, 70059877, 20944670, 90875222, 76713074, 59008482, 142664125, 15882741, 12788432, 48719828, 42356466, 24346444, 52735447, 10094996, 33183095, 4000571, 61075929, 333147, 28034742, 54663602, 28598678 ], [ 18392175, 12163649, 24442142, 3203906, 116902286, 7829423, 81223123, 99774050, 11338106, 8550380, 38036421, 55136879, 71615469, 578409, 24863823, 36215007, 44076939, 2232413, 114246377, 943321, 14201346, 66223794, 54507159, 27454299, 69552158, 15344011, 18391424, 8874972, 36979083, 9811063, 14509971, 4131998, 23771038, 181281890, 9520884, 22598478, 46255598, 90589342, 146907101, 187458629, 122282160, 25786297, 3433030, 100772520, 62445135, 181581527, 26936465, 14052759, 4641346, 8700960, 26014536, 38680821, 51243350, 13392175, 5467318, 13802806, 55864395, 71019915, 11163758, 23064698, 165458417, 24647788, 9228891, 74046888, 22170016, 137077539, 20582211, 16817195, 19041156, 11128502, 57625178, 52106900, 26179740, 61545118, 9674566, 79537946, 50507184, 4232416, 84959424, 17782512, 14601617, 35924575, 12545425, 98890229, 32908317, 23136344, 47364312, 121374434, 9343747, 73828439, 119485024, 7492623, 143866102, 19222845, 264493512, 5229812, 33378399, 24276669, 22664984, 14602804, 25234297, 22447868, 64410245, 114835017, 5910747, 36643396, 6657129, 14557590, 35164341, 8541813, 31533926, 51741633, 12638436, 2507771, 17198390, 77874438, 5149944, 12554166, 24346444, 10979003, 91179017, 39880734, 87110961, 4241466, 167879071, 81542752, 62078915, 8385885 ], [ 21192448, 86306377, 24442142, 77086679, 118526826, 7829423, 81223123, 137301299, 26459147, 39270957, 38036421, 74243328, 11184496, 75666424, 57273016, 256542786, 35635354, 47546757, 110929732, 16129055, 29356258, 66223794, 18412536, 34088334, 31517016, 47168326, 39752033, 26283533, 4139590, 21147669, 23266227, 16273457, 46035848, 19490018, 9919743, 8264599, 76775470, 13704278, 49445146, 65879175, 11142073, 136592957, 43150011, 124972417, 1351015, 18939602, 46963576, 14052759, 107540723, 40118035, 26014536, 72386568, 51243350, 67955405, 18634567, 110494710, 16762983, 22511935, 11163758, 139709396, 162902991, 25450069, 33395442, 59464778, 212274550, 121958590, 117692617, 111905027, 1067378, 11128502, 25442582, 41359183, 5671570, 12467909, 288259, 112535516, 8953505, 93790243, 10845223, 19249411, 78255223, 340164724, 24766906, 116009287, 228060825, 23136344, 30001796, 143590005, 34068101, 25989493, 28854300, 7492623, 17049686, 19222845, 68169066, 5229812, 36540048, 43573138, 8006431, 218181065, 25234297, 79870237, 7659980, 23236097, 165357810, 150049881, 16609490, 199328976, 24032403, 12699353, 364340403, 21377344, 1250663, 58672491, 17198390, 44991162, 9457991, 49855642, 19888394, 51565532, 12610673, 67476139, 3735512, 18538359, 50609419, 13483105, 54663602, 158189237 ], [ 94151830, 12292471, 2902252, 35414063, 136245013, 7829423, 83940700, 100731922, 47429823, 115044493, 28286860, 1616244, 71615469, 297627524, 57273016, 110662921, 7913937, 2232413, 51287163, 28941804, 152042834, 36468316, 43331725, 548401, 8151623, 15344011, 17402290, 32799818, 85673659, 21147669, 152933718, 149201716, 113408322, 76451841, 9919743, 100200947, 46255598, 23711522, 9985536, 55384100, 81062066, 52080521, 5690126, 23201501, 15873155, 167642592, 46963576, 5528881, 109279682, 85786520, 26014536, 52749008, 12789386, 67955405, 74241463, 123520088, 162803235, 57345974, 11163758, 33823205, 256620419, 65064986, 31017625, 69828298, 4294757, 4770883, 101831917, 129969518, 50326426, 11128502, 59071895, 104722467, 64917568, 3192507, 67091866, 20996198, 11452209, 22464142, 77623120, 68081587, 54469600, 143520189, 17345118, 166659255, 42126297, 23136344, 154106521, 143590005, 48669013, 61401417, 76461236, 7492623, 20532104, 19222845, 39377027, 5229812, 153710891, 20716534, 137434668, 47579964, 111311857, 74823511, 12279330, 4421670, 119104354, 21436149, 127061984, 43313435, 12821873, 4752265, 31533926, 152283894, 17980645, 132767123, 8580869, 7398281, 23962497, 9219250, 37957511, 33289056, 86468677, 67476139, 35652117, 4034821, 151857491, 57524488, 87170561, 51214475 ], [ 55954442, 2248874, 91521943, 8292077, 19994769, 7829423, 108092179, 55032171, 31816588, 14650532, 86919010, 69354034, 13688128, 75666424, 14425328, 31492154, 15359907, 1320109, 67004930, 57593823, 1549220, 29555188, 54507159, 1825024, 9767425, 3571107, 147914446, 31043805, 4139590, 21147669, 10058780, 70712698, 33588870, 19490018, 9919743, 22598478, 230525348, 125350875, 94263588, 26723723, 11142073, 353109040, 77915745, 124972417, 115079014, 37449118, 96276164, 70548854, 84387194, 44502532, 26014536, 86665551, 28443859, 14150619, 98129014, 99454293, 38567889, 140003474, 68601867, 37539156, 12945912, 126499886, 108560181, 74046888, 2663878, 23458859, 69275328, 3498867, 25329720, 11128502, 220222326, 57576055, 42269645, 12467909, 121831825, 41052102, 24659440, 14250812, 24397799, 19249411, 73122758, 2345026, 40525522, 61282264, 33774110, 122973150, 42129310, 19953241, 40336407, 53672825, 28854300, 7492623, 53375586, 19222845, 163961914, 5229812, 26063013, 43573138, 212441138, 76595681, 25234297, 79870237, 48659214, 14934958, 29603894, 115582686, 42387840, 43313435, 32829942, 20602581, 15318842, 152283894, 1957091, 43258487, 46894426, 66124152, 3207842, 9219250, 39902837, 51565532, 37035196, 52548562, 6464083, 75610174, 119371817, 34389479, 54663602, 2932758 ], [ 297616339, 83328899, 70943807, 66718259, 60857978, 7829423, 17837375, 151647351, 166766709, 249959621, 151853792, 12932150, 71615469, 75666424, 29093249, 152415225, 124340353, 148363555, 51287163, 138673085, 29984501, 66223794, 54507159, 34088334, 14849280, 169774264, 147914446, 115346503, 4139590, 21147669, 3901026, 247786119, 40148963, 50901040, 9919743, 22598478, 277657016, 12448949, 178068571, 82937059, 37678536, 91359392, 98787651, 22668122, 39853586, 67108161, 16082988, 106036889, 170738643, 37343259, 26014536, 24824972, 246096465, 67955405, 16043503, 311642999, 151361230, 185734907, 163144383, 21185197, 283444767, 145633933, 33395442, 101364838, 189214701, 152204219, 107754139, 4267729, 202047605, 11128502, 177711558, 104722467, 2585693, 60270550, 111812584, 34099829, 194068910, 25369199, 12770139, 19249411, 260123300, 3908450, 11914058, 33996742, 74899291, 23136344, 192082432, 143590005, 252921579, 30310893, 34034374, 7492623, 30136489, 19222845, 64562711, 5229812, 33887047, 43573138, 126337157, 122662315, 25234297, 79870237, 64410245, 219160442, 10664629, 87054816, 14861593, 33012513, 35164341, 63829230, 31533926, 18245555, 108892514, 3457816, 70479793, 1778507, 82300461, 9219250, 39027969, 51565532, 32182005, 18566907, 3735512, 78707398, 124456633, 144915952, 6725010, 6315096 ], [ 121808568, 213916, 91521943, 27899268, 119583545, 88259316, 26933142, 57282820, 217297813, 71013518, 11836062, 1616244, 71615469, 31360797, 57273016, 63288043, 123300023, 148363555, 44708668, 56893036, 29984501, 80782010, 52292132, 34088334, 43722381, 43176167, 17558543, 39720231, 36979083, 9811063, 81379617, 30479417, 28190702, 39590196, 9919743, 22598478, 40104047, 81995761, 9985536, 36700884, 14710611, 27393951, 98787651, 124972417, 18231259, 11684360, 85158669, 127163036, 79187697, 2414303, 26014536, 87331021, 90500402, 67955405, 81640472, 3947219, 179471924, 6044690, 39065278, 99788052, 35213388, 46481541, 33395442, 74046888, 28367226, 4770883, 9199391, 21907393, 120309477, 11128502, 28194980, 137488378, 26179740, 205132485, 28758821, 86480374, 11452209, 37770139, 16064167, 138825923, 73122758, 31168429, 68071769, 23576199, 33774110, 23136344, 118107821, 65261005, 34060836, 73828439, 41389283, 7492623, 112610509, 19222845, 3624085, 5229812, 63753642, 43573138, 22317967, 13411347, 225651135, 22447868, 12279330, 132992065, 100601120, 2904225, 1030147, 199328976, 35164341, 94194490, 66908106, 44411557, 17980645, 137003904, 35871172, 26394224, 3207842, 95127083, 24346444, 7755034, 10094996, 52548562, 142443115, 78707398, 12114064, 5250619, 91047311, 10498243 ], [ 84401073, 52344162, 53380503, 157120283, 90407784, 88259316, 29738778, 71961339, 135195683, 113450913, 119367130, 26863402, 84520594, 69439694, 137372159, 41794532, 98507634, 58008113, 21654249, 28941804, 27516842, 143748533, 54507159, 34088334, 73660322, 37971852, 219179167, 277489499, 85673659, 21147669, 136421089, 63147091, 57875060, 63774105, 52865608, 89653189, 14451065, 2362921, 9985536, 37153598, 14710611, 102385764, 86034536, 87449919, 141293504, 49281557, 22487531, 38078864, 58222733, 63595111, 50308721, 43911806, 12463154, 164495546, 5467318, 3947219, 179471924, 164592156, 11163758, 28456691, 192823254, 26510987, 11447161, 54904369, 6844831, 4770883, 107754139, 3934247, 154041387, 11128502, 217080302, 41440769, 83422725, 272079305, 56481889, 94579031, 52492171, 183581583, 54828005, 140724751, 10379843, 629887, 54757914, 18964182, 114100828, 23136344, 31450107, 34969278, 85715657, 77692751, 113513815, 52875576, 82716240, 19222845, 97838497, 5229812, 122095157, 43573138, 24189904, 81208466, 24749793, 57522811, 64410245, 32718601, 70625722, 227283571, 10328263, 58570577, 35164341, 21235059, 27637367, 19797370, 17980645, 137003904, 35871172, 17911957, 14935790, 4423661, 39902837, 145988364, 86046917, 37227739, 118382448, 78707398, 49012783, 39089675, 73978564, 126126563 ], [ 150650268, 90161977, 20675186, 311917730, 136245013, 7829423, 40117404, 253044750, 74851581, 273781125, 136486186, 69354034, 71615469, 19170202, 92780495, 71167525, 214806182, 60942216, 51287163, 40299525, 27516842, 143748533, 54507159, 29905141, 133564468, 378415462, 16674892, 124763675, 4139590, 21147669, 32318278, 67516099, 40148963, 39176812, 9919743, 57662041, 256102548, 228762711, 176793234, 194479144, 122282160, 127431486, 88954935, 124972417, 37029892, 94210276, 16082988, 5528881, 154823277, 114644094, 26014536, 38680821, 39362456, 21139736, 98129014, 28456575, 24442330, 49122919, 14648640, 15659086, 329351201, 163526627, 41935063, 44469591, 25872681, 42677988, 131606927, 21907393, 36603489, 11128502, 47738403, 73698525, 214073558, 48669594, 56481889, 116247650, 86096671, 4232416, 95255415, 19249411, 73122758, 10158467, 11914058, 451432966, 32908317, 23136344, 134580896, 143590005, 48669013, 146610478, 123914272, 7492623, 204823058, 19222845, 62289908, 105860579, 26063013, 43573138, 212441138, 65045025, 115905528, 1121340, 41300367, 33373381, 19451382, 18992094, 14861593, 33012513, 63460636, 159429464, 121731182, 152283894, 62702179, 132767123, 35871172, 1778507, 14187457, 49855642, 39027969, 83135938, 67244656, 16308957, 142662399, 4241466, 62547840, 43081569, 54663602, 158189237 ], [ 254768280, 35220695, 39960801, 74250924, 68797297, 1083937, 54149084, 160607, 11338106, 156061995, 111594686, 74243328, 42998216, 75666424, 57273016, 206669650, 7619152, 129850139, 115829227, 40299525, 27516842, 29036544, 54507159, 34088334, 8151623, 47168326, 236527341, 46274253, 85673659, 21147669, 11037895, 19817873, 92420806, 103716003, 72347838, 22598478, 31600162, 147319815, 9985536, 26723723, 36108440, 6511714, 29798638, 119511733, 37033709, 41088252, 16082988, 40205940, 136903932, 85786520, 26014536, 72386568, 12789386, 28863318, 17366602, 86751626, 28820189, 57345974, 83890396, 140445479, 53485449, 46481541, 33261372, 167493317, 758187, 4770883, 10879380, 4267729, 50326426, 11128502, 77589226, 73551294, 104330210, 160436279, 33384915, 34099829, 86096671, 25369199, 24397799, 14881854, 73122758, 59044017, 24766906, 125212268, 127956508, 4804257, 23188495, 17567021, 34164230, 19593982, 189094499, 52875576, 5096699, 19222845, 15727200, 5229812, 205746004, 43573138, 14314118, 63975941, 76804800, 10206982, 30883294, 139840833, 29603894, 60881301, 3435798, 21571738, 35164341, 94194490, 31533926, 75701222, 17980645, 60938067, 35871172, 77874438, 4778538, 105360256, 39027969, 7755034, 173842184, 23369540, 85358323, 78707398, 12114064, 43081569, 227975156, 6315096 ], [ 155654907, 250446478, 43588589, 74250924, 125013236, 32711496, 81223123, 117250155, 11338106, 300846091, 34808094, 55136879, 8799657, 174118816, 57273016, 105822610, 98507634, 148363555, 171298256, 69391895, 29984501, 29036544, 54507159, 34088334, 71670348, 46559750, 219179167, 19528142, 4139590, 1766680, 11037895, 247786119, 92420806, 120989005, 9919743, 51382419, 85660278, 90589342, 134835131, 194479144, 37678536, 13424672, 29798638, 124972417, 133202078, 116921833, 46963576, 54676401, 381852842, 223778508, 26014536, 13260044, 246096465, 67955405, 5938717, 34775875, 179471924, 7865970, 66967279, 34069127, 110725711, 96510512, 33395442, 441068465, 340498105, 8767110, 10879380, 4267729, 154041387, 11128502, 65080746, 115550342, 111120865, 60270550, 20588532, 34099829, 142157452, 185524520, 44841138, 19249411, 283824684, 51068483, 24766906, 261492857, 99864472, 23136344, 253580584, 122578221, 74453127, 45315856, 119485024, 7492623, 112610509, 135514947, 97838497, 5229812, 113461032, 43573138, 14314118, 8258553, 25234297, 10206982, 64410245, 72609894, 30196698, 150049881, 46887196, 173777411, 35164341, 94194490, 364340403, 152283894, 108892514, 55059277, 240354627, 77874438, 123359600, 129590908, 39902837, 71691909, 239147563, 32994242, 87110961, 39724630, 223595272, 188285067, 54663602, 6315096 ], [ 4306688, 70590492, 80749299, 284463176, 136245013, 19122126, 141323991, 65273316, 238600161, 30847646, 151853792, 12897912, 71615469, 214475636, 59558336, 254948210, 335262001, 118754552, 33323390, 138673085, 21429619, 461142892, 54507159, 34088334, 87236638, 378415462, 13003503, 286170537, 177249465, 21147669, 182484876, 161062137, 130629805, 280124737, 9919743, 218816490, 152685187, 73573134, 82956858, 160400919, 75618633, 174805787, 98787651, 124972417, 119913353, 181581527, 84757146, 87623488, 60031440, 281838229, 5333588, 87331021, 28551907, 81020660, 98129014, 472777265, 75770217, 6045037, 14648640, 228820185, 123106573, 163526627, 166247101, 7969807, 410763998, 28692269, 98447598, 12512447, 7445093, 11128502, 47738403, 287495635, 231298792, 181369128, 8301896, 172141045, 39030702, 313359370, 52479638, 220942899, 131177053, 167155196, 289848058, 133862971, 179762713, 23136344, 134580896, 3822671, 51205941, 73828439, 125004294, 7492623, 80374169, 162179577, 15727200, 206468249, 134316894, 20082573, 114793140, 22205311, 205481808, 6227883, 64410245, 239834491, 174404934, 60881301, 74355201, 21571738, 35164341, 150118051, 27387646, 126133358, 72431203, 373605501, 218974928, 58739725, 14187457, 5217714, 146705618, 94962878, 271186117, 68012621, 183488793, 78707398, 62547840, 365832831, 56213966, 122000319 ], [ 4306688, 97085922, 91521943, 311917730, 136245013, 19122126, 141323991, 230690594, 325707419, 53988238, 41492799, 51694365, 71615469, 113283619, 61784651, 200355234, 28669790, 55502098, 14482665, 138673085, 21429619, 183131299, 54507159, 146725858, 1830157, 43176167, 178082720, 8874972, 5083551, 21147669, 48867683, 219382977, 66123117, 280124737, 9919743, 240453404, 85660278, 43435403, 92087346, 79219697, 158735679, 174805787, 98787651, 300003032, 20220556, 181581527, 317996646, 167973875, 102949115, 147982748, 26014536, 86665551, 211259957, 194486830, 47110452, 41932736, 40323419, 6045037, 14648640, 110025120, 100001636, 26004910, 38504136, 7969807, 25872681, 48789712, 131606927, 173724274, 36603489, 138041644, 65127504, 136171922, 371387030, 20330484, 20588532, 129627207, 521832027, 4232416, 52479638, 64889486, 34174321, 1533745, 410280125, 97706088, 44399837, 23974405, 203490002, 3822671, 223189329, 73828439, 15063757, 1682113, 204840269, 7968303, 31335309, 65146730, 32358027, 35707345, 120942694, 148252258, 6496455, 31481391, 80218692, 105320866, 165357810, 2870945, 94978857, 285225862, 105242909, 116452162, 342842880, 45056132, 108892514, 259420844, 35596711, 58739725, 14187457, 58096516, 162226585, 40911325, 59130269, 76350134, 156462151, 273976037, 212983826, 113178185, 122506639, 193744989 ], [ 43913465, 1113320535, 91521943, 70998739, 136245013, 19122126, 141323991, 281574122, 47429823, 69172837, 23414985, 374347994, 71615469, 214475636, 180966442, 378422338, 121259239, 358417988, 79828572, 25067792, 17088587, 751758008, 54507159, 248804027, 4836413, 455495, 8025753, 325756812, 98244941, 21147669, 50069238, 94730687, 122536234, 227915236, 9919743, 107832548, 140274632, 393334556, 26678564, 101321538, 158735679, 40636360, 98787651, 347542080, 313741757, 52850723, 46963576, 5528881, 34932760, 328940295, 597143335, 376238950, 77668823, 188350636, 74241463, 421957104, 179471924, 6045037, 37915917, 186529322, 371161827, 97305873, 252495818, 7969807, 589271075, 180195102, 131606927, 644917007, 23333317, 83448209, 27213168, 154347737, 172804530, 108333800, 36215269, 283708219, 142157452, 165546692, 52479638, 108979105, 453867680, 65878201, 24766906, 912029082, 315316446, 217969600, 4519966, 3822671, 48669013, 95499490, 90594670, 7492623, 183981863, 140883167, 464447850, 5229812, 498197532, 43573138, 120942694, 313584214, 144108904, 549724080, 474132952, 28666453, 265958825, 134518649, 52774061, 117516843, 452619477, 94194490, 60361613, 50464397, 1250663, 24390536, 146774991, 58739725, 40705596, 2726960, 39902837, 94962878, 105648214, 295251508, 507075757, 75288835, 355902975, 114723676, 175680035, 88366879 ], [ 24568957, 97085922, 49482088, 52372330, 136245013, 19122126, 81223123, 153186800, 133768524, 130105926, 132822181, 74243328, 71615469, 25310052, 59558336, 200324416, 35635354, 33499629, 139142417, 119393307, 21429619, 529249463, 54507159, 117605892, 21710163, 186359703, 41163222, 109224622, 85673659, 21147669, 216228118, 317112414, 5807442, 85384897, 9919743, 100200947, 277657016, 175444902, 26678564, 12162610, 9411434, 127431486, 88954935, 124972417, 239972320, 57317810, 61227393, 98140387, 124327222, 212809955, 26014536, 35569079, 65280390, 42624056, 98129014, 26901041, 169234871, 6045037, 37915917, 250485712, 20121294, 92210410, 33395442, 7969807, 2663878, 298646644, 12232, 37008520, 174174712, 11128502, 110461975, 117992913, 320034873, 229713839, 99258427, 29962433, 206985948, 14091892, 52479638, 173731903, 131177053, 20895464, 154022382, 178300070, 32908317, 161398148, 93496137, 3822671, 385435547, 73828439, 8403455, 7492623, 91294462, 19222845, 158468004, 5229812, 142474092, 43573138, 26411500, 31805665, 18657994, 79870237, 64410245, 136228678, 56111798, 114696608, 160122026, 117516843, 35164341, 63673246, 43458299, 50464397, 54930790, 30976493, 237297449, 226901, 18505619, 211647733, 39902837, 69647697, 196411575, 20750769, 5579813, 4241466, 104069106, 44785241, 64737594, 135465600 ], [ 190931820, 6855765, 91521943, 188306336, 35540804, 19122126, 23327643, 76102808, 41920359, 74127723, 41492799, 74243328, 4691642, 18122829, 37793319, 51959001, 40855158, 148363555, 19948909, 73721539, 21429619, 32090228, 52292132, 55713992, 84389921, 53704391, 16674892, 100303565, 4139590, 21147669, 32318278, 72608530, 66123117, 61624824, 424956352, 45112119, 32541078, 197098878, 92087346, 36700884, 154258459, 6727927, 96695518, 39444895, 133202078, 6138619, 180510292, 204926856, 79187697, 1167282, 26014536, 72386568, 97251029, 67955405, 62202479, 34775875, 69399563, 6045037, 37915917, 15659086, 17639151, 52473888, 33395442, 7969807, 81653480, 42677988, 40681939, 62063889, 63628992, 11128502, 65080746, 104722467, 181799768, 30813733, 55101405, 80348478, 60974175, 1467870, 44841138, 19249411, 76332171, 51068483, 195799933, 10975911, 5486232, 105530597, 18630531, 3822671, 252921579, 48614088, 196500720, 328555079, 26591430, 19222845, 9662602, 177986462, 79762868, 43573138, 8006431, 146405018, 50742767, 1011053, 64410245, 41082837, 18901783, 6136708, 53046934, 18029310, 35164341, 18875456, 26152720, 43792465, 3314149, 170705572, 82902303, 8411073, 40705596, 42771000, 22244656, 7574241, 47528981, 67476139, 119533693, 39389127, 62547840, 95588817, 54663602, 26414154 ], [ 73278332, 46578707, 40672129, 99942472, 45010859, 19122126, 81223123, 10728620, 47429823, 72129829, 23414985, 4810019, 13372239, 42278554, 44236102, 24770995, 40553025, 74099223, 6150042, 22963051, 14547668, 32090228, 54507159, 34088334, 35039571, 455495, 65024119, 31043805, 36979083, 9811063, 114124290, 30479417, 13192576, 23853449, 47235282, 4269090, 32677055, 113778894, 23580742, 64448995, 73894573, 16703260, 114412716, 91651034, 91602753, 58745990, 46963576, 14372348, 14820136, 56346379, 26014536, 10030682, 146992804, 28863318, 5206059, 12221867, 18924224, 6045037, 17599771, 99788052, 61606123, 14572170, 33395442, 7969807, 18499499, 23458859, 2235822, 20876282, 23333317, 11128502, 27213168, 153228347, 26179740, 29465692, 9552508, 28364330, 23316914, 39444211, 24397799, 65833656, 212200573, 19213264, 24766906, 6769815, 26279065, 23136344, 3632414, 3822671, 1064084, 18304533, 68035297, 13331112, 53375586, 6362173, 25784813, 5229812, 15043230, 43573138, 90706319, 3962925, 30815442, 6227883, 42410573, 132992065, 51408379, 136739244, 30586176, 18029310, 35164341, 44869489, 26152720, 63579621, 3314149, 121173633, 88138403, 162911, 40705596, 33387298, 24346444, 42178418, 67244656, 277962867, 85358323, 12797032, 77253233, 45297224, 39011870, 87851023 ], [ 24568957, 56680051, 91521943, 96262914, 47334972, 19122126, 81223123, 270301331, 47429823, 233495439, 41492799, 55136879, 71615469, 62589511, 4724026, 182533911, 98507634, 148363555, 5312691, 128972561, 21429619, 226800784, 54507159, 34088334, 15072477, 47168326, 279349464, 9297054, 85673659, 21147669, 151456362, 45632430, 33588870, 77019584, 9919743, 22598478, 32541078, 27737148, 12969820, 194479144, 75715173, 76255463, 88954935, 20310818, 76423112, 37449118, 46963576, 5528881, 84387194, 412914782, 26014536, 87331021, 53223586, 28863318, 40500021, 86751626, 179471924, 6045037, 37915917, 6610976, 42308253, 46481541, 10055390, 7969807, 2663878, 74773151, 69562943, 146382436, 1186957, 11128502, 14983735, 287495635, 199285019, 10208989, 205526851, 145912, 26633138, 90699893, 19353368, 7147687, 77230410, 145154839, 6244249, 90826362, 5486232, 23136344, 192082432, 3822671, 48669013, 73828439, 119485024, 7492623, 2952376, 19222845, 79091183, 5232805, 58884049, 43573138, 17884257, 63975941, 3152789, 44820657, 64410245, 33373381, 5910747, 41297766, 94978857, 63845085, 35164341, 44889348, 43458299, 27382384, 34900327, 127600410, 221344878, 26406378, 40705596, 51057592, 66553491, 51565532, 32182005, 67476139, 42882095, 56104566, 9124814, 44785241, 57156642, 158189237 ], [ 24568957, 18243761, 20551867, 70998739, 15213372, 7829423, 29738778, 13017926, 11338106, 146809552, 102404427, 55136879, 71615469, 154045893, 51801318, 110662921, 44076939, 46153889, 36161704, 128972561, 21429619, 22637705, 21948906, 16439853, 339975945, 23604150, 181891477, 63918812, 85673659, 21147669, 115785351, 1452202, 87674120, 42594670, 9919743, 18914570, 48222143, 56882824, 12969820, 89443753, 158735679, 76255463, 98787651, 20310818, 85409986, 5564078, 46963576, 5528881, 22709165, 36626022, 18547202, 87331021, 48107050, 49755262, 8513457, 10654555, 15417166, 6045037, 37915917, 79400751, 64124675, 5899465, 33395442, 7969807, 28719645, 93011446, 101831917, 3934247, 80895805, 11128502, 38786966, 104722467, 71421852, 59467860, 33384915, 76258876, 48982349, 21681228, 52479638, 108979105, 41169974, 35924575, 24766906, 104422985, 8841244, 23136344, 71541590, 3822671, 48669013, 18532074, 21548482, 7492623, 8702321, 8440829, 15727200, 5229812, 58884049, 15323433, 17884257, 215151923, 186077785, 6227883, 22173503, 25908174, 39990073, 60881301, 47583747, 21571738, 12821873, 48503409, 8198026, 27382384, 42207456, 194919342, 59576167, 37645223, 40705596, 2726960, 39902837, 86432338, 7805551, 166438542, 87110961, 16097907, 24638621, 49757387, 104040177, 8385885 ], [ 24568957, 97085922, 91521943, 27543629, 136245013, 7829423, 141323991, 57282820, 144835612, 50050790, 176420162, 74243328, 73291081, 75666424, 24531922, 63288043, 121891186, 89111031, 145452590, 40620308, 21429619, 254794473, 45717717, 280440844, 1830157, 21804656, 39004942, 8874972, 1400331, 21147669, 78104164, 383818234, 10956107, 227915236, 93282730, 4438872, 1495963, 175444902, 26678564, 49583705, 158735679, 174805787, 175818915, 124972417, 111112524, 181581527, 61227393, 159106323, 102949115, 62317179, 26014536, 210509545, 51243350, 30067172, 20473140, 500569, 75770217, 6045037, 11163758, 46956026, 356072434, 48287149, 38504136, 7969807, 182604887, 14866905, 131606927, 12512447, 120309477, 11128502, 181261863, 41029784, 382749190, 226086838, 33384915, 29962433, 79603216, 40748959, 7701187, 1081391, 162291132, 45178402, 187060446, 32908875, 7835358, 23974405, 6180455, 3822671, 35901352, 22311498, 27634171, 15547474, 183981863, 19222845, 15727200, 65146730, 36697840, 43184542, 61708373, 133311087, 142721906, 9498304, 64410245, 239706096, 85420794, 4696912, 100143768, 21571738, 105242909, 190045552, 31216632, 50464397, 47260902, 30945225, 163229229, 2273975, 14187457, 2726960, 146705618, 51565532, 126868685, 2466095, 6566276, 20476368, 40782327, 142619239, 44010074, 88366879 ], [ 14072123, 97085922, 24442142, 70998739, 90407784, 7829423, 29738778, 10728620, 47429823, 146809552, 37497957, 74243328, 71615469, 28683370, 164783444, 13112516, 56933858, 17285787, 14482665, 67435443, 7183235, 83754180, 48133062, 25043371, 31517016, 23604150, 1423423, 63918812, 85673659, 21147669, 182484876, 1452202, 33588870, 86439671, 9919743, 107832548, 140274632, 300825814, 23580742, 109689335, 11142073, 37347607, 98787651, 107106667, 209804142, 12349849, 45977162, 64715400, 52690565, 85786520, 24941053, 86665551, 45328380, 29646401, 62202479, 86751626, 63710292, 6045037, 37915917, 141287085, 30346658, 36211929, 77937664, 7969807, 2663878, 8767110, 46336715, 3934247, 63628992, 11128502, 181261863, 68559873, 43516538, 139746332, 432979246, 116247650, 142157452, 191823628, 10845223, 7071017, 76332171, 99339, 24766906, 26791723, 21919640, 23136344, 114575580, 3822671, 2052571, 2729303, 119485024, 7492623, 46277746, 19222845, 24516914, 5229812, 14277820, 43573138, 120942694, 11632480, 22953946, 79870237, 64410245, 18143679, 6745202, 10148911, 14861593, 43313435, 35164341, 77922744, 31533926, 61523681, 1250663, 99569261, 17198390, 1778507, 40705596, 2726960, 39902837, 87846131, 30608921, 18566907, 17832662, 71031078, 70979084, 13483105, 13252763, 12517399 ], [ 42188445, 13342962, 26643734, 52372330, 35372164, 19122126, 108092179, 121415900, 74851581, 113179579, 42522121, 38739278, 71615469, 43984272, 124769759, 15234823, 18518610, 33499629, 5312691, 40299525, 11427811, 22753619, 54507159, 16439853, 8151623, 111310771, 16674892, 37859035, 1400331, 21147669, 32318278, 140591402, 33744510, 58591259, 9919743, 18914570, 277657016, 39176279, 26678564, 12162610, 11142073, 27393951, 84011763, 116766531, 39853586, 57446568, 45945862, 124994686, 93839720, 147982748, 26014536, 86665551, 12789386, 157383734, 81640472, 35426583, 33852532, 6044690, 37915917, 15659086, 84889239, 66316249, 18131177, 7969807, 28367226, 42677988, 77986125, 292024064, 50326426, 11128502, 91892801, 12631605, 2585693, 60270550, 77122006, 43492965, 91337566, 156856293, 52479638, 19249411, 76332171, 19213264, 49073427, 25887271, 12184028, 143853491, 134580896, 52184769, 34164230, 73828439, 66972543, 7492623, 183981863, 19222845, 25784813, 5229812, 26063013, 43573138, 34881830, 8331802, 225651135, 75116511, 64410245, 74983171, 165357810, 14337913, 52170674, 117516843, 35164341, 22108017, 111978330, 18245555, 80261473, 75222315, 71076394, 801913, 45681510, 10451778, 39902837, 7755034, 152954922, 277962867, 140168021, 30294394, 62547840, 41794490, 44010074, 141594469 ], [ 12578631, 40212747, 156411360, 367284122, 136245013, 7829423, 399137173, 65273316, 1259955647, 437778517, 76654063, 176036593, 71615469, 316724442, 124769759, 432678808, 73125700, 397045983, 137861538, 209556373, 274219147, 219025321, 45982270, 24596848, 510733290, 38944855, 349706795, 325756812, 49902655, 68414272, 284826954, 67516099, 130629805, 673537097, 9919743, 49659194, 363853877, 22960548, 103058690, 387292731, 247135189, 153799468, 84011763, 277299035, 37029892, 181581527, 282212050, 375422674, 618490790, 484486034, 370179389, 23922751, 894254991, 468906171, 104390952, 34775875, 48212736, 49122919, 39490977, 82721387, 2470016, 163526627, 166247101, 27627406, 745699, 152204219, 82245422, 121142618, 77739796, 40882787, 65080746, 188880682, 231298792, 28358421, 432979246, 43752832, 335517663, 159109168, 106097577, 108127949, 334235957, 83560842, 350367789, 531061205, 92400475, 713587628, 3232326, 143590005, 45261817, 284348985, 432786539, 7492623, 34156464, 474676818, 439734650, 135808020, 134316894, 43573138, 155275100, 168070051, 144240788, 1121340, 324557455, 225202343, 339984246, 39897820, 160122026, 108470680, 35164341, 787075862, 364340403, 152283894, 72431203, 231177549, 17338114, 77874438, 29304346, 1146482250, 216399388, 94962878, 110037910, 56862118, 142662399, 78707398, 62547840, 41984020, 86532592, 45131165 ], [ 82802495, 45648143, 91521943, 70998739, 136245013, 7829423, 81223123, 114469987, 450254692, 50050790, 61759835, 74243328, 46568962, 4774759, 57273016, 477406369, 163815048, 64748310, 14482665, 138673085, 29984501, 118009155, 54507159, 65539495, 339975945, 11444678, 178082720, 8874972, 4139590, 21147669, 216228118, 78178743, 37924836, 205290182, 9919743, 107832548, 133270890, 206894540, 26678564, 186321048, 51016201, 87105046, 98787651, 124972417, 24956584, 124369817, 61227393, 129913180, 102949115, 127655384, 26014536, 87331021, 77436686, 49444411, 47110452, 34775875, 9047331, 6045037, 37915917, 228820185, 2470016, 163526627, 33395442, 7969807, 745699, 152204219, 131606927, 12512447, 36603489, 11128502, 47738403, 141587801, 207328910, 60270550, 33384915, 43964247, 263054, 4232416, 4386055, 19249411, 37315210, 48006655, 268061305, 296775448, 179762713, 130530595, 35092711, 16183558, 205674685, 73828439, 216312730, 7492623, 183981863, 19222845, 15727200, 5229812, 56486931, 43573138, 120942694, 210341802, 5804890, 218835269, 64410245, 74281909, 165357810, 60881301, 54546833, 21571738, 35164341, 48503409, 8198026, 50464397, 108892514, 106288495, 146774991, 3680748, 11249825, 2726960, 39902837, 76513812, 124333307, 112364243, 41600259, 75288835, 122719970, 37640331, 54663602, 58011313 ], [ 297616339, 13262061, 91521943, 7150769, 94269496, 7829423, 71341262, 3281703, 47429823, 164616754, 23414985, 74243328, 71615469, 118060902, 110703301, 106550465, 18518610, 4769597, 14248063, 1195812, 21429619, 10119125, 54507159, 11595779, 8151623, 455495, 6055446, 46274253, 4139590, 21147669, 216228118, 16435608, 37924836, 280124737, 9919743, 100200947, 31600162, 56882824, 26678564, 37153598, 147021612, 126881108, 16118041, 744442, 139471031, 40479046, 33535188, 136199237, 68677309, 9501210, 246171341, 18760746, 12789386, 109565665, 58933589, 28456575, 62931609, 6045037, 14648640, 186529322, 64474081, 19555073, 99969071, 7969807, 46238751, 28692269, 69275328, 3498867, 23333317, 11128502, 27213168, 57092899, 119224033, 7691529, 20588532, 51564987, 39107390, 36564773, 13175497, 19249411, 45404420, 243192209, 24766906, 3604455, 32908317, 23974405, 61441404, 3822671, 74453127, 54193295, 6906658, 7492623, 47983577, 19222845, 15467556, 141875621, 15063186, 43573138, 77190568, 1955502, 26668252, 266439366, 48659214, 48289837, 33914569, 110828878, 116922883, 43313435, 56279754, 29229443, 35322688, 28438216, 34900327, 194734734, 144199753, 58739725, 14187457, 9219250, 97113750, 83135938, 28594756, 76350134, 42882095, 4241466, 24638621, 185557302, 34998719, 126728206 ], [ 202337531, 13262061, 91521943, 311917730, 25910147, 7829423, 141323991, 132324980, 47429823, 71013518, 23414985, 58141178, 71615469, 13920403, 110703301, 105293177, 35635354, 14242839, 51287163, 25067792, 21429619, 183131299, 48133062, 34088334, 35039571, 455495, 162525344, 63918812, 4139590, 21147669, 182484876, 16435608, 130629805, 280124737, 9919743, 60004602, 140274632, 142388574, 26678564, 56058087, 24397237, 52074589, 89956363, 67313152, 218908198, 6635636, 46963576, 145062040, 334317541, 9501210, 26014536, 38680821, 246096465, 211551143, 74241463, 28456575, 12531788, 6045037, 14648640, 136370792, 68185028, 28964327, 57809846, 7969807, 189214701, 64667508, 109768488, 3059227, 23333317, 2601584, 27213168, 104722467, 40382748, 20330484, 33384915, 116247650, 142157452, 165546692, 52479638, 10251915, 76332171, 240350028, 24766906, 1467015, 32908317, 23136344, 26321502, 3822671, 171204528, 159588920, 90594670, 7492623, 112610509, 19222845, 12456248, 5229812, 113461032, 43573138, 77190568, 148252258, 279449142, 6227883, 64410245, 15381447, 18629613, 60881301, 99340684, 21571738, 132646169, 94194490, 31533926, 50464397, 108892514, 45154423, 144199753, 58739725, 14187457, 35751832, 14363817, 27165719, 10094996, 172601672, 97906303, 4241466, 97987349, 48190670, 52134026, 24776891 ], [ 199560127, 83328899, 16012656, 43382058, 25910147, 7829423, 98350183, 13668735, 11338106, 71013518, 113676214, 74243328, 71615469, 42278554, 85724677, 47815017, 123300023, 30847397, 429269191, 16546424, 21429619, 174630555, 54507159, 34088334, 79409986, 43176167, 230950448, 8874972, 10403655, 9811063, 182484876, 17945446, 13192576, 240251742, 9919743, 106210852, 85660278, 118041557, 92087346, 194479144, 50758034, 101142019, 57157509, 4765507, 55324866, 181581527, 299356871, 5528881, 102949115, 412914782, 27794976, 120801518, 161036725, 300704261, 47110452, 13802806, 179471924, 6045037, 37915917, 14786749, 318477705, 12894453, 43978709, 7969807, 17090338, 137077539, 110304335, 20876282, 158975681, 11128502, 140177897, 73698525, 26179740, 118429636, 20588532, 116247650, 468258031, 56665911, 52479638, 31840795, 285322746, 176068714, 140286427, 152145799, 128009434, 23136344, 192082432, 3822671, 48669013, 164468550, 216312730, 7492623, 112610509, 19222845, 197965483, 44916132, 9904138, 43573138, 110766261, 30702354, 270893959, 22447868, 45083441, 33373381, 18629613, 246766272, 265448981, 316671558, 118933817, 68911876, 76200431, 47290638, 62702179, 63331020, 136240490, 58739725, 26835622, 135279616, 5548202, 1493633, 10094996, 44399610, 85358323, 282066280, 306721294, 86728952, 233066974, 8385885 ], [ 190568858, 83328899, 91521943, 26254049, 84104608, 7829423, 34627796, 34842381, 31816588, 62138522, 41492799, 51694365, 40120084, 18894141, 57273016, 97473353, 18518610, 148363555, 6239508, 138673085, 1549220, 136684076, 54507159, 56958576, 8151623, 3571107, 53767925, 46274253, 42593367, 21147669, 92691441, 45632430, 66123117, 167641190, 9919743, 4269090, 48222143, 11764889, 15322229, 37153598, 73894573, 16703260, 16118041, 124972417, 17526799, 181581527, 46963576, 30898170, 103560104, 56346379, 26014536, 10824101, 2149133, 52772735, 74241463, 41932736, 20975573, 6045037, 11163758, 151035590, 64124675, 35379752, 77937664, 7969807, 18499499, 48789712, 110304335, 20876282, 25329720, 11128502, 38180397, 128499382, 66685715, 11856924, 194148462, 69473882, 15179998, 6429636, 52479638, 64889486, 34174321, 145154839, 24766906, 23507974, 75852891, 10394093, 3632414, 15301898, 10640570, 73828439, 79797849, 7492623, 78426205, 19222845, 20286424, 31237302, 137587005, 25969571, 42197239, 67173398, 6496455, 6227883, 64410245, 76427133, 72897046, 67723193, 94978857, 43313435, 35164341, 44889348, 31533926, 24127779, 29309156, 31420260, 35596711, 66124152, 8268373, 9219250, 114234826, 42178418, 59130269, 25521051, 85358323, 7294342, 216816606, 99107455, 62824224, 20795764 ], [ 149926511, 97085922, 9024081, 26254049, 25910147, 242540117, 163186445, 64711383, 11338106, 53988238, 239631175, 58141178, 4691642, 118060902, 110703301, 71297951, 76141940, 1320109, 186740399, 153215, 69861726, 46042705, 54507159, 56958576, 1830157, 268856666, 122005183, 8874972, 4139590, 9811063, 30500293, 45632430, 39949637, 90961544, 9919743, 57283524, 20860518, 397428345, 162586864, 191502798, 50758034, 39668587, 16118041, 93323456, 112968001, 10151165, 84757146, 33182577, 102949115, 89121664, 26014536, 38680821, 3361134, 49755262, 47110452, 13802806, 102495626, 8221730, 14648640, 177162995, 123106573, 163526627, 166247101, 48164330, 25872681, 871886, 110304335, 20876282, 21700668, 174763310, 140177897, 6038789, 26179740, 48238464, 20588532, 69473882, 128968512, 4232416, 76316761, 19249411, 45404420, 240350028, 363183569, 57166265, 32908317, 23974405, 77714243, 143590005, 52984891, 73828439, 142284667, 7492623, 8702321, 19222845, 41766762, 5229812, 88012832, 14586481, 110766261, 9350717, 80606429, 6227883, 22173503, 25231044, 18629613, 279043344, 30097089, 55990207, 45380486, 19281027, 36692755, 152283894, 108892514, 79495353, 163229229, 12788432, 14187457, 114443102, 5548202, 83135938, 7805551, 63207095, 77477233, 4241466, 28233344, 211266628, 41801860, 8385885 ], [ 132188052, 46578707, 27156500, 27899268, 136245013, 66122324, 132516232, 10728620, 7078889, 15101564, 33741451, 50368910, 71615469, 75666424, 54653023, 69497626, 70047183, 125722950, 51287163, 421784023, 48757041, 145346425, 54507159, 88076851, 36692203, 3571107, 58205030, 137197495, 85673659, 18419991, 145809542, 38606700, 62576970, 120120523, 9919743, 22598478, 112905624, 39172136, 23580742, 64448995, 152101415, 68094525, 2746479, 73242172, 36597070, 11684360, 4572319, 159106323, 57139815, 78224680, 39043913, 87331021, 6903960, 67955405, 5206059, 11735842, 55492492, 104763504, 14648640, 48091385, 158797920, 42627051, 106071781, 10703012, 77097147, 23458859, 5822269, 79939435, 16242110, 11128502, 1927362, 104722467, 138753959, 83174504, 99607073, 94449962, 142157452, 39444211, 43615876, 65833656, 67199024, 46523739, 12441711, 45077948, 26850711, 23974405, 96107183, 84534261, 70797032, 23078466, 123914272, 7492623, 59814013, 19222845, 153826788, 178297363, 152123626, 43573138, 91356891, 81208466, 30779365, 52668225, 64410245, 32148576, 9595164, 36643396, 77177965, 43313435, 20953012, 94265456, 111169812, 79967093, 34900327, 68988867, 12780855, 162911, 14187457, 9219250, 3881192, 806488, 16782077, 67476139, 169682401, 12797032, 26256355, 111813541, 16972877, 20795764 ], [ 42188445, 97085922, 43139594, 23371577, 128094034, 7829423, 123781816, 117287956, 7078889, 71013518, 136486186, 74243328, 187731381, 216851006, 51725445, 71167525, 109549644, 44778422, 86942483, 28941804, 69861726, 145346425, 54507159, 34088334, 23371248, 2979008, 16674892, 73983501, 67213595, 24662601, 32318278, 73925885, 44382301, 40032663, 130064242, 100200947, 15948992, 263074053, 95232967, 29271631, 177243918, 179412509, 84011763, 14523905, 239972320, 60733243, 284046276, 145062040, 154823277, 18469628, 26014536, 35913558, 107805466, 67955405, 19360243, 10654555, 163969303, 6044690, 14648640, 15659086, 28279774, 387779, 164243119, 7977060, 8952830, 42677988, 244269354, 10287193, 184576575, 11128502, 47738403, 142413522, 145565367, 226086838, 55101405, 77334314, 44553678, 71500726, 95255415, 12573529, 84942547, 71414976, 49073427, 152145799, 210145180, 23136344, 43319394, 143492509, 36523646, 73828439, 207822577, 32294186, 32992142, 19222845, 26139271, 5229812, 9904138, 43573138, 8006431, 30702354, 30779365, 121272567, 2333804, 46975680, 135747868, 150049881, 160122026, 15034678, 35164341, 94194490, 111169812, 344513851, 76372448, 33152929, 15882741, 77874438, 14187457, 49855642, 39902837, 11520981, 10094996, 160947918, 108780562, 78707398, 11770568, 24325679, 161831401, 28598678 ], [ 192298432, 97085922, 91521943, 70077661, 136245013, 7829423, 132516232, 121415900, 134014635, 15101564, 151853792, 71476370, 71615469, 204826330, 267912899, 79205732, 147348259, 232475078, 115241998, 40620308, 155369916, 167084197, 54507159, 68051418, 24593890, 8058707, 202725313, 137197495, 194565590, 21147669, 121670225, 217712872, 108507156, 229717187, 9919743, 187147653, 85660278, 64220212, 58347541, 29271631, 188043164, 31218943, 2746479, 124972417, 24402478, 181581527, 19848542, 5528881, 68366076, 86769008, 39043913, 114988231, 6903960, 188350636, 56791921, 526434253, 179471924, 71019915, 38478205, 186294807, 22685670, 42627051, 166247101, 47537843, 77097147, 104196210, 5822269, 78631485, 115525203, 11128502, 18298946, 62792592, 138753959, 6787830, 20588532, 116247650, 234830334, 296554971, 169109617, 64889486, 334235957, 51438525, 96843841, 14250187, 115619223, 111135626, 143989921, 143590005, 48669013, 128639937, 1514068, 7492623, 33788022, 54837268, 33549345, 165881465, 29930575, 43573138, 183045817, 82364789, 4311340, 52668225, 26338059, 28666453, 9595164, 165865823, 77257505, 43313435, 35164341, 29871397, 149936420, 79967093, 82675553, 68988867, 12780855, 77874438, 57860451, 9219250, 3881192, 11520981, 16782077, 76350134, 142662399, 78707398, 106760522, 24325679, 57657175, 158189237 ], [ 1557585, 97085922, 14916627, 23371577, 136245013, 48019938, 182108133, 24077093, 8504327, 7382213, 37081856, 5722016, 24388200, 70421105, 25976978, 127406295, 190302526, 44778422, 40700961, 104860137, 155369916, 46042705, 44698635, 34088334, 23371248, 2979008, 61946690, 38407563, 4139590, 9811063, 36342808, 106312647, 44382301, 40032663, 130064242, 65515093, 118469328, 183141116, 95232967, 194479144, 41170739, 30692901, 224941162, 6750336, 127502565, 124693170, 159884880, 5528881, 68366076, 34001117, 27794976, 114988231, 78451727, 92162321, 17366602, 10654555, 17143545, 195371164, 14648640, 35222336, 117524067, 97305873, 89098394, 7977060, 37868488, 137077539, 5822269, 20876282, 11263243, 3774376, 47738403, 104722467, 26179740, 6787830, 20672687, 155075509, 29448859, 71500726, 46081393, 19249411, 85742346, 10158467, 19093281, 59730645, 101865112, 23136344, 210658642, 143590005, 36523646, 128639937, 54280233, 62484003, 33788022, 3492989, 62289908, 5229812, 9904138, 43573138, 8006431, 30702354, 21076205, 22447868, 2333804, 27675569, 165357810, 216962100, 94602568, 74976586, 7958284, 61382297, 26874402, 121112032, 65672801, 33152929, 115069051, 77874438, 14187457, 135279616, 3881192, 11520981, 34780972, 24385829, 36401213, 78707398, 11770568, 45297224, 54663602, 115533742 ], [ 22233974, 30243011, 40672129, 74974636, 136245013, 27874044, 347635934, 527077, 7078889, 16677736, 148654513, 106404828, 13372239, 114729859, 95616906, 53775700, 110888163, 126461047, 46212261, 47373450, 14547668, 27762995, 54507159, 88076851, 96418775, 74540205, 127980635, 46274253, 19995754, 21147669, 88277132, 80293934, 130629805, 6952233, 9919743, 125120571, 31600162, 159781768, 240537181, 19421974, 36774646, 68094525, 98787651, 96467989, 175006784, 48317508, 22487531, 20604721, 58222733, 28023398, 112796360, 5698351, 54059371, 28922729, 1314880, 11735842, 42397331, 65167177, 14648640, 70346041, 64474081, 163526627, 43073646, 48164330, 14845455, 35065222, 69275328, 3498867, 163198850, 103130557, 24161176, 3453250, 10258276, 99455016, 113341383, 51136416, 39663821, 36564773, 95255415, 64804402, 73122758, 28654178, 175663148, 149749176, 48737309, 12526600, 9367644, 116548344, 6061460, 4622579, 57403451, 7492623, 64105129, 19222845, 163053895, 64418028, 1851798, 43573138, 74867952, 3962925, 23271493, 79870237, 1328670, 65451011, 86875736, 47516633, 54517013, 43313435, 52493769, 39156272, 43644912, 20229549, 108892514, 33591417, 23536374, 2138343, 12048869, 9219250, 47671738, 94962878, 49451183, 9601057, 67065931, 32307498, 2571648, 17981361, 106515484, 1734627 ], [ 110941091, 25627318, 21173329, 162632252, 125013236, 103244094, 81223123, 112408125, 7078889, 268310237, 151853792, 1616244, 24388200, 201056313, 3963634, 52548829, 28891751, 95554627, 29159332, 138673085, 29984501, 145346425, 54507159, 1526538, 36692203, 285087, 29073732, 38407563, 4139590, 14942979, 56364034, 9752379, 117146760, 122004366, 9919743, 52894914, 140274632, 77027122, 95232967, 35959074, 122282160, 10259202, 3519318, 14523905, 141293504, 60733243, 46963576, 14928801, 61477754, 147982748, 24494642, 36602426, 160466134, 11660676, 68548286, 1166550, 62931609, 49122919, 14648640, 96376620, 55481746, 163526627, 33395442, 7977060, 110599999, 9567324, 40681939, 20876282, 82568956, 11128502, 325014283, 164633092, 16268261, 20330484, 20672687, 51136416, 115236818, 43988455, 95255415, 19249411, 5989126, 71414976, 14834384, 149625209, 26850711, 23136344, 18630531, 143590005, 223189329, 73828439, 1357031, 7492623, 150192825, 19222845, 103334957, 5232805, 75035436, 43573138, 91356891, 107434534, 30779365, 39128055, 2333804, 9147870, 10664629, 19909213, 160122026, 43313435, 35164341, 39156272, 2743013, 152283894, 76372448, 95010185, 126226810, 77874438, 14187457, 9219250, 162226585, 7574241, 87973016, 27658010, 48791520, 78707398, 26256355, 45297224, 54663602, 20795764 ], [ 108903678, 22529708, 21204863, 34714833, 96333112, 51240310, 59132993, 24139189, 32336185, 11624023, 126992149, 32778033, 1954083, 67274817, 14676184, 44486606, 20238551, 70263422, 51287163, 21789191, 155369916, 75418855, 54507159, 70491449, 15072477, 46559750, 145738079, 62264455, 36979083, 9811063, 35217181, 30479417, 176707072, 288504324, 9919743, 22598478, 21071992, 6682357, 108183414, 48807174, 77659118, 29560112, 82888270, 744442, 114526480, 109174654, 21595824, 33027000, 95496855, 25566948, 26014536, 87331021, 111822348, 66107608, 19552087, 13802806, 26833747, 7062931, 14648640, 3767974, 3042389, 24673442, 198435133, 48164330, 155140910, 112423991, 9903185, 116873020, 203267202, 11128502, 189385106, 104722467, 15559195, 114205337, 9752661, 25174526, 39107390, 62078491, 42027954, 12760620, 80116042, 4692945, 75273599, 61068825, 19670039, 23974405, 168759236, 112606131, 66802733, 5362144, 22455905, 7492623, 29804875, 19222845, 178401939, 75897377, 30000454, 7394552, 163430255, 110428087, 71495982, 22447868, 13704708, 28107, 16368907, 412857896, 43288593, 80435534, 35164341, 55393996, 34103234, 33122803, 108892514, 113717616, 56887606, 9626590, 14187457, 38274854, 24346444, 51565532, 51613150, 15764150, 49654188, 78707398, 97785603, 49757387, 10202524, 9741009 ], [ 407326892, 97085922, 113505080, 27543629, 125013236, 270127773, 417438507, 315969607, 47429823, 537206508, 151853792, 55136879, 71615469, 307610120, 404779747, 94132305, 98418259, 380817300, 51287163, 347643152, 274219147, 454458820, 54507159, 344223468, 510733290, 47168326, 202725313, 325756812, 648539285, 356795207, 153499534, 436645153, 28190702, 319353255, 9919743, 711668184, 140274632, 90589342, 871650727, 163996770, 161630182, 791681373, 49905013, 124972417, 141293504, 181581527, 46963576, 360417115, 331134396, 417822868, 597143335, 402170395, 111175371, 211551143, 74241463, 147411250, 150297122, 7062931, 14648640, 279690392, 144405045, 8852743, 166247101, 48164330, 189214701, 367440826, 928308730, 120039204, 945055751, 11128502, 415249929, 104722467, 438590692, 272079305, 99607073, 94449962, 55923723, 486969375, 95255415, 108979105, 334235957, 156045941, 24766906, 519494603, 7835358, 23974405, 119891652, 143590005, 223189329, 399278224, 894842636, 7492623, 443929535, 239851689, 119176544, 169806162, 397986618, 43573138, 211593981, 310801574, 531771600, 236075823, 64410245, 114835017, 100601120, 2904225, 160122026, 270191566, 35164341, 849454930, 364340403, 152283894, 47260902, 149653739, 803617215, 77874438, 14187457, 1113328424, 100390549, 94962878, 271186117, 712305929, 563653411, 78707398, 97785603, 440482106, 10202524, 158189237 ], [ 150014733, 97085922, 91521943, 85872254, 125013236, 88044602, 123781816, 281574122, 47429823, 197271411, 151853792, 55136879, 84520594, 307610120, 61754331, 31492154, 67600540, 44778422, 44708668, 138673085, 243207779, 46042705, 25690881, 34088334, 397432195, 34974794, 92376927, 325756812, 4139590, 21147669, 139810342, 60745157, 28190702, 84314686, 194043116, 107832548, 15948992, 90589342, 131021875, 194479144, 85422202, 39668587, 49905013, 124972417, 141293504, 181581527, 46963576, 57322508, 331134396, 85786520, 26014536, 179320136, 112726563, 46526290, 17366602, 29629811, 65493454, 7062931, 14648640, 459196424, 144405045, 163526627, 69874276, 47980771, 30342613, 260111860, 107754139, 12512447, 184576575, 11128502, 82169677, 267023928, 7862580, 60270550, 33384915, 84630595, 142157452, 71500726, 95255415, 19249411, 263650114, 6899581, 24766906, 124953413, 604504, 23136344, 63952292, 143590005, 52984891, 148005474, 1325224, 20184786, 80502390, 4569931, 15727200, 5229812, 9904138, 17051841, 117864039, 30702354, 458518823, 79870237, 52840328, 114835017, 97385906, 2904225, 146392488, 21571738, 35164341, 94194490, 31533926, 30632269, 148549216, 149653739, 303024978, 77874438, 14187457, 609810477, 39902837, 83135938, 271186117, 67476139, 250654644, 78707398, 97785603, 184608007, 10202524, 7942710 ], [ 231461023, 83328899, 113505080, 27543629, 125013236, 168197060, 55117260, 74608549, 47429823, 300846091, 151853792, 28429720, 4691642, 277335885, 50053741, 102844704, 67600540, 8171887, 51287163, 88299931, 274219147, 214537564, 5908669, 73384043, 81649881, 10326483, 202725313, 10245277, 182180987, 155098045, 151231728, 17945446, 28190702, 272245920, 9919743, 61696962, 140274632, 90589342, 448924252, 194479144, 11142073, 40889447, 49905013, 124972417, 141293504, 181581527, 46963576, 82196489, 331134396, 85786520, 9932071, 134336785, 111175371, 30067172, 74241463, 29629811, 62500299, 20700434, 14648640, 59202943, 144405045, 134825481, 78151782, 48164330, 189214701, 180770931, 72710114, 299575291, 105039837, 11128502, 41290858, 104722467, 7862580, 272079305, 50373161, 273928038, 79603216, 107055693, 95255415, 108979105, 65770483, 37658184, 24766906, 185727047, 7835358, 23974405, 59065102, 143590005, 112453422, 211824539, 1325224, 7492623, 32620373, 239851689, 60854711, 118437253, 201055892, 43573138, 211593981, 38867682, 142721906, 79870237, 31228863, 52793063, 100601120, 2904225, 43288593, 55990207, 35164341, 34263153, 26595740, 152283894, 47260902, 279475693, 256508228, 77874438, 14187457, 92925563, 65373577, 8232945, 271186117, 67476139, 365982808, 78707398, 40782327, 265874181, 64737594, 82023210 ], [ 24568957, 60832443, 9024081, 63596569, 96333112, 25827476, 81223123, 24077093, 47429823, 53988238, 148654513, 55136879, 1954083, 29888653, 57273016, 94132305, 76141940, 47546757, 324944825, 21641970, 1549220, 91967100, 30560974, 11799656, 1830157, 43176167, 2951290, 8874972, 4139590, 9811063, 77804739, 37980700, 15113505, 44798675, 1584075, 22598478, 46241154, 73676270, 217041723, 29478518, 131128963, 17378080, 49905013, 84396464, 106477193, 10151165, 46963576, 82236226, 79187697, 89121664, 26014536, 2807538, 78451727, 26635291, 19552087, 10654555, 26847428, 7062931, 14648640, 40026291, 3042389, 48287149, 10055390, 48164330, 25872681, 23458859, 131606927, 111905027, 25329720, 11128502, 22704879, 154840611, 7162655, 60270550, 20588532, 49670432, 142157452, 4232416, 29617518, 19249411, 77230410, 51853954, 24766906, 5466715, 13797465, 23136344, 56803266, 32438638, 86223354, 73828439, 156400661, 7492623, 23401976, 19222845, 15272083, 63731921, 113461032, 26240295, 114793140, 3962925, 54147679, 22447868, 22173503, 28107, 165357810, 9741685, 62789107, 43313435, 118933817, 29200522, 34103234, 38939848, 9010788, 82137225, 46879427, 66124152, 9623526, 9219250, 24346444, 51565532, 7805551, 10996978, 115333484, 49524043, 97785603, 91796273, 10202524, 59881781 ], [ 255205890, 61337838, 40672129, 190690652, 25910147, 66559418, 81223123, 24139189, 11568794, 113450913, 8123629, 74243328, 71615469, 75666424, 14676184, 4605955, 23745391, 70263422, 51287163, 18477019, 1549220, 99561417, 54507159, 34088334, 21710163, 43176167, 58205030, 46274253, 4139590, 21147669, 182484876, 37980700, 176707072, 180177331, 9919743, 22598478, 85660278, 34747790, 108183414, 109689335, 30038884, 193573091, 66145189, 64303604, 36597070, 89998484, 131201628, 127497359, 23671162, 38099873, 26014536, 10030682, 111869230, 67955405, 19552087, 29629811, 80261876, 195371164, 14648640, 9555816, 3042389, 180139228, 33395442, 10703012, 189214701, 5533506, 110304335, 20876282, 25329720, 11128502, 97499164, 67995755, 7862580, 60270550, 9752661, 21452962, 93081682, 183581583, 43615876, 19249411, 64265425, 629887, 54757914, 4420550, 20163611, 23136344, 175526994, 112606131, 52424576, 63667552, 1325224, 7492623, 5254980, 127285520, 163961914, 20065544, 75926762, 43573138, 110766261, 148252258, 207472463, 79870237, 13704708, 28107, 18629613, 150049881, 14934828, 43313435, 27649900, 55393996, 466458192, 152283894, 108892514, 179450003, 89185358, 66124152, 14187457, 9219250, 160565196, 51565532, 50157601, 67476139, 15840429, 49524043, 208043842, 1832243, 32965490, 24673384 ], [ 172893282, 83328899, 91521943, 75029503, 3618208, 7829423, 2131826, 130453420, 179834618, 100503365, 6989432, 50421949, 276540506, 15869554, 222694867, 94132305, 97663355, 172427112, 376552525, 526468131, 155452351, 46042705, 54507159, 17249292, 63179808, 163246600, 7868675, 46274253, 4139590, 9811063, 108267654, 20502956, 15376883, 63301167, 216765028, 51841478, 22717072, 196254172, 240537181, 77947212, 5403292, 32504316, 81806452, 94131702, 239972320, 4107032, 69383571, 9438654, 324529915, 147982748, 196678114, 86665551, 130114183, 1168492, 87372965, 13802806, 44328395, 7062931, 14648640, 30875112, 36049827, 277453743, 95888194, 48164330, 189909495, 23458859, 110304335, 20876282, 198010991, 11128502, 66861392, 35226975, 26179740, 60270550, 20588532, 75586766, 210188509, 249006676, 79088697, 19249411, 76332171, 276286748, 300198185, 36273193, 22500058, 23136344, 192636124, 55207863, 52984891, 57857736, 77264924, 435639, 196627590, 19222845, 149397086, 105752443, 51081300, 43573138, 144101445, 32328827, 94151193, 22447868, 64410245, 132992065, 165357810, 246766272, 115917298, 73556654, 14646708, 43274599, 151414720, 95359384, 272264417, 141278540, 79137369, 1662263, 14187457, 240264722, 24346444, 83135938, 205682210, 76350134, 85358323, 78707398, 57798446, 58161267, 10202524, 40776532 ], [ 89171569, 13262061, 8603647, 7194933, 125013236, 7829423, 81223123, 67563360, 47429823, 69172837, 38329091, 55136879, 38943200, 172236253, 57273016, 10170714, 14644322, 96955475, 80239011, 91072366, 17088587, 83754180, 48133062, 34088334, 3574126, 14229681, 79781033, 266029626, 36979083, 9811063, 50069238, 70712698, 50367506, 19490018, 9919743, 216034806, 24560178, 90589342, 95642667, 73130542, 188043164, 13849213, 49905013, 119808542, 141293504, 181581527, 46963576, 33027000, 84394235, 52133795, 26014536, 74919084, 45328380, 28139420, 74241463, 13802806, 23150731, 7062931, 14648640, 206949814, 12587863, 51921857, 33395442, 48164330, 185476593, 23458859, 131606927, 40303350, 24714192, 11128502, 2275668, 103903037, 26179740, 12467909, 20588532, 116247650, 89907712, 62078491, 44074210, 7071017, 2886570, 99339, 24766906, 3632806, 77984922, 23136344, 41308286, 106181695, 16636870, 73828439, 28854300, 7492623, 47854487, 19222845, 117806464, 177986462, 196106807, 43573138, 97199472, 81208466, 77542724, 22447868, 48659214, 13516890, 76955315, 10148911, 52774061, 192881293, 4705607, 60309345, 16424695, 152283894, 1250663, 149653739, 90286874, 4264501, 14187457, 30194707, 24346444, 39117154, 78053197, 23424037, 6464083, 78707398, 97785603, 114924889, 432061, 242992 ], [ 171313815, 322731296, 68189286, 31312792, 136245013, 177114288, 289145823, 117500891, 143826383, 71013518, 151853792, 149673961, 4691642, 113308800, 242399970, 334548718, 59202551, 214824516, 51287163, 14622772, 313000673, 238376316, 54507159, 106838224, 79409986, 161105016, 175019349, 83863624, 60867452, 21147669, 115323660, 287404061, 47875598, 326436916, 185903697, 155119279, 69844113, 40851815, 181923908, 465131630, 9411434, 155152793, 128788645, 270129204, 239972320, 28998934, 308848396, 191158502, 31732514, 232976362, 252946215, 35569079, 51512369, 74162279, 180216494, 86873661, 150957329, 7062931, 165347182, 70763235, 127513888, 38520673, 111739039, 16204944, 189214701, 251200999, 30982871, 594614317, 104308702, 217602465, 159051688, 14483268, 98826008, 92646941, 382582400, 265397058, 60974175, 55707785, 23683780, 186589346, 378869057, 78777644, 612969599, 163112204, 126310621, 30723927, 219853451, 143590005, 74453127, 40616298, 5187456, 254216237, 26591430, 19222845, 178401939, 44916132, 246558846, 23010902, 155831722, 93200320, 436460968, 75417389, 174743153, 41082837, 165357810, 25852221, 139771717, 178193672, 35164341, 154301924, 15495730, 240288566, 130058598, 42779730, 15882741, 77874438, 48719828, 269480813, 79851375, 143738360, 10094996, 33183095, 82215190, 78707398, 97785603, 86728952, 10202524, 28598678 ], [ 61560207, 38466931, 91521943, 27899268, 136245013, 7829423, 78995092, 86218496, 14570112, 69172837, 26980973, 12235856, 34019496, 62120632, 4724026, 30405877, 16975223, 69607594, 51287163, 72920881, 17088587, 33722797, 41698543, 34088334, 4836413, 23987554, 34716072, 160101533, 85673659, 21147669, 14630227, 53916294, 6649052, 27354116, 9919743, 51841478, 17644444, 2771111, 110155120, 26723723, 36108440, 17307969, 5403274, 4054357, 7150152, 11684360, 172487214, 5528881, 38765412, 724193, 26014536, 82219332, 1400950, 13554292, 20451055, 29629811, 75648262, 7062931, 11163758, 46977691, 27386591, 8852743, 33395442, 3549008, 21223115, 23458859, 12653804, 3498867, 114870372, 11128502, 65080746, 19653840, 7862580, 11856924, 159638628, 57488580, 27684402, 14116355, 44841138, 150757194, 45404420, 51068483, 6244249, 26791723, 5633180, 23136344, 37142613, 34766411, 45958245, 40272716, 1325224, 7492623, 1353097, 19222845, 107146911, 93845942, 37119810, 43573138, 90706319, 32328827, 24868546, 25143123, 42410573, 33373381, 29603894, 65779695, 25666610, 225433962, 35164341, 88682240, 4650307, 95470352, 1250663, 99471915, 117243517, 77874438, 12995237, 74899902, 42265976, 7707426, 73416608, 63339542, 25747478, 78707398, 97785603, 33193815, 10202524, 4643354 ], [ 82816544, 25627318, 213557621, 51594079, 136245013, 7829423, 132516232, 10728620, 47429823, 16677736, 34916430, 74243328, 71615469, 97544519, 180041740, 123397443, 50298080, 148363555, 301747788, 138673085, 186984037, 171588189, 54507159, 91592187, 142821452, 47168326, 231150847, 82582567, 85673659, 26747476, 2624770, 19256234, 130629805, 84314686, 9919743, 126735054, 140274632, 401276743, 9985536, 194479144, 430563197, 5447914, 98787651, 41882169, 239972320, 181581527, 3890878, 14156480, 169742780, 136668532, 26014536, 87331021, 6903960, 43892184, 23663798, 122424808, 116995290, 34742023, 70344989, 37539156, 68865383, 26485605, 64012875, 80842483, 59929893, 4770883, 34810231, 59124870, 200834672, 11128502, 3837077, 142460169, 110406079, 14565946, 198435522, 116247650, 142157452, 91256681, 169109617, 108979105, 76728195, 109487085, 24766906, 45077948, 371790041, 57343845, 56803880, 143590005, 71884657, 73828439, 1472256, 7492623, 77572742, 19222845, 264493512, 75897377, 29930575, 43573138, 96330681, 104335650, 187128835, 100348418, 12046729, 193680224, 121112652, 35033547, 46749738, 47349431, 35164341, 57628305, 14870913, 48573524, 17980645, 4491017, 12780855, 77874438, 81119497, 154916165, 91154044, 34438843, 282817243, 69557125, 48791520, 35781802, 81256842, 200881856, 39011870, 158189237 ], [ 24568957, 97085922, 40277496, 26633010, 58905431, 121422788, 29744760, 32664750, 35296670, 71013518, 20364062, 6234330, 53677062, 12407040, 27208419, 53446104, 23745391, 8723864, 12583314, 42877873, 60883089, 8026913, 48133062, 5971639, 79409986, 47168326, 7868675, 849226, 36979083, 9811063, 98153239, 1452202, 45795930, 32728166, 8813103, 31648323, 140274632, 54428961, 3926926, 64448995, 21867373, 68094525, 98787651, 107806842, 24652354, 109174654, 46963576, 136952360, 98646184, 3383382, 19779246, 43669082, 6903960, 13554292, 54361742, 13802806, 19759436, 182765512, 11163758, 22210030, 31116876, 24643627, 30673183, 15008321, 69230656, 60632945, 34810231, 3498867, 200834672, 11128502, 5257902, 19106250, 26179740, 132703814, 186444046, 24735481, 33333343, 22464142, 56535720, 19108966, 72730439, 7077650, 24766906, 23507974, 100717339, 183629045, 122076125, 34766411, 36523646, 73828439, 1514068, 7492623, 28696238, 19222845, 264493512, 62454713, 11549087, 14280183, 90706319, 58778998, 158133488, 22447868, 17221490, 62150467, 121112652, 29858419, 183925133, 47349431, 20541419, 13211106, 31533926, 48573524, 6341216, 31420260, 12780855, 28350850, 14935790, 23075010, 24346444, 22717768, 10094996, 67476139, 35652117, 3819561, 40202885, 35507064, 117897458, 41313697 ], [ 52978092, 157874990, 80172431, 53684186, 86909672, 287796564, 11334436, 10728620, 47429823, 281430155, 34916430, 74243328, 86848865, 77823706, 60931390, 123397443, 10545885, 10984227, 265619368, 138673085, 230281427, 83754180, 54507159, 35448400, 15072477, 47168326, 47051623, 151307675, 33309695, 21147669, 121337832, 125103410, 33744510, 86439671, 209168623, 41163899, 28206469, 39566957, 17640610, 64448995, 124620532, 68094525, 114412716, 14539178, 39598691, 181581527, 32198440, 90460891, 76880989, 147982748, 26014536, 86665551, 6903960, 168794042, 23663798, 23871470, 179471924, 472332237, 11163758, 129046407, 101470147, 142646029, 55011895, 40661463, 56688951, 78839283, 34810231, 434272222, 200834672, 11128502, 84267815, 166078129, 200331027, 59467860, 164838577, 229827510, 39663821, 153382927, 145075117, 26225179, 76332171, 7202544, 24766906, 45077948, 228060825, 46943637, 107412209, 129853312, 74453127, 73828439, 92229190, 339879576, 77572742, 177544656, 25784813, 5229812, 11549087, 43573138, 207990293, 39331384, 187128835, 62157837, 12046729, 293679750, 108013928, 6136708, 44194059, 43313435, 106621987, 18875456, 43644912, 48573524, 34900327, 27929622, 12780855, 16520355, 148969917, 9219250, 39902837, 34438843, 220510134, 67476139, 64768070, 144530056, 289207215, 166270172, 5583096, 141594469 ], [ 86727841, 25627318, 13184479, 76633906, 21263892, 95729574, 60053269, 70932709, 35296670, 300846091, 126856013, 55136879, 24388200, 207755723, 49382248, 185523082, 98507634, 40565607, 51287163, 138673085, 29984501, 50687754, 54507159, 34088334, 31517016, 43176167, 202725313, 252460297, 4139590, 267920676, 182484876, 120073101, 62354086, 239842753, 62623214, 107832548, 21408795, 90589342, 110155120, 10061115, 5403292, 13424672, 49905013, 53333722, 141293504, 181581527, 46963576, 145062040, 211461577, 223778508, 26014536, 210509545, 51243350, 44177979, 74241463, 107938927, 22877542, 15770687, 11163758, 30875112, 123106573, 96510512, 33395442, 74046888, 25872681, 26113334, 40681939, 146382436, 36603489, 11128502, 140177897, 104722467, 61729951, 60270550, 20588532, 104112614, 60974175, 4232416, 10845223, 19249411, 38633454, 62272148, 24766906, 331726517, 144026332, 23136344, 20726289, 71012109, 90914546, 4115385, 42629110, 48008163, 26591430, 19222845, 149063548, 5229812, 67706453, 25069236, 8006431, 108053240, 61164948, 56288526, 49550071, 73251742, 16479757, 36643396, 36849268, 291330493, 35164341, 94194490, 253755655, 201298714, 1250663, 194919342, 15882741, 77874438, 48719828, 107331995, 39902837, 22643413, 226579678, 76350134, 48791520, 78707398, 72688224, 147800074, 54663602, 28598678 ], [ 24568957, 13262061, 38302858, 157120283, 14042960, 18531181, 24327368, 10728620, 19217990, 16677736, 22697464, 17470031, 52047471, 15543686, 1614185, 36941127, 19151738, 148363555, 337738701, 38769611, 29984501, 43002314, 54507159, 5971639, 427331, 8965396, 5164034, 46274253, 85673659, 21147669, 24541300, 55706483, 113878316, 83088573, 22427269, 14287963, 66897389, 49181866, 22429494, 48668801, 108687630, 9182292, 99684469, 6499979, 75406942, 10151165, 8266641, 33027000, 43398476, 52133795, 26014536, 10030682, 6903960, 49755262, 6488354, 10654555, 14888041, 54864739, 14648640, 31897130, 21228821, 14572170, 33395442, 48164330, 22879990, 8472115, 2235822, 20876282, 17798266, 11128502, 92311133, 229183521, 79314695, 77406154, 7722635, 103569965, 78970699, 25369199, 95255415, 91302664, 25966030, 57541453, 24766906, 353621, 48897944, 21484554, 43201370, 40892670, 52984891, 12197353, 144689277, 33766378, 23401976, 6494163, 96585593, 68708406, 47946239, 3760986, 3649553, 32328827, 6187624, 40274437, 22173503, 36786239, 34907452, 10148911, 114751747, 108813166, 35164341, 161414605, 65651168, 48573524, 34900327, 13069568, 12780855, 77874438, 14187457, 34703868, 83706078, 51565532, 2231672, 33328149, 919956, 35781802, 11770568, 149184236, 39011870, 3422830 ], [ 14107149, 1475812, 47609020, 76633906, 116112388, 88259316, 29738778, 10728620, 25044537, 16677736, 9950689, 28429720, 7434452, 30073193, 50053741, 10794703, 50298080, 30524710, 61191946, 42877873, 29984501, 159771125, 54507159, 5971639, 15072477, 47168326, 70439458, 82582567, 49492879, 21147669, 86034316, 48525486, 13192576, 84314686, 61905387, 52512232, 71870895, 52916695, 23580742, 9405292, 88913394, 74514401, 99684469, 14539178, 7150152, 10151165, 21595824, 29897648, 27658597, 24496744, 68774826, 61239600, 6903960, 49755262, 23663798, 13555269, 75648262, 16416196, 11163758, 33823205, 35055757, 764685, 33395442, 3749366, 35286264, 17474196, 65179078, 3934247, 8059554, 11128502, 19094705, 104390564, 33120467, 272079305, 7722635, 76478636, 123004367, 32579347, 28831332, 7071017, 80116042, 99339, 24766906, 45077948, 26850711, 23136344, 192082432, 104721923, 20337306, 24733562, 1357031, 122070815, 23401976, 19222845, 753970, 5232805, 29930575, 2380324, 90706319, 88978945, 28616375, 79870237, 12046729, 36786239, 76955315, 85782824, 2331077, 79112076, 35164341, 57628305, 11402965, 48573524, 42207456, 4491017, 12780855, 2138343, 14187457, 92925563, 17555255, 11520981, 7805551, 67476139, 43823009, 35781802, 26256355, 139771832, 32001981, 48756787 ], [ 27765548, 86771921, 20551867, 26633010, 87527441, 88044602, 55056491, 60297867, 5728970, 141991241, 11921283, 17470031, 66171746, 12407040, 22936627, 51959001, 36090254, 50208565, 36161704, 111500282, 60883089, 46042705, 54507159, 119905941, 32404941, 8222859, 70439458, 46833787, 85855441, 18419991, 24016066, 30479417, 33744510, 39623020, 22427269, 22598478, 75183457, 54428961, 37541887, 64448995, 11142073, 17280545, 93231534, 116766531, 83013796, 69480992, 46963576, 142902414, 88775642, 18469628, 101386829, 87331021, 22716051, 24471481, 62202479, 10654555, 122173871, 114635801, 28288940, 31897130, 14973117, 41523007, 55011895, 168303732, 56688951, 17474196, 34810231, 67924354, 63046026, 11128502, 31728986, 6038789, 147884076, 6787830, 59314216, 91453520, 61195361, 6856116, 155212620, 58152767, 52194133, 19213264, 24766906, 45077948, 23731864, 117694409, 16789438, 128280616, 42051434, 73828439, 143810945, 30715563, 33788022, 23739842, 25784813, 5229812, 90630201, 26250423, 78856754, 4389173, 61104428, 100348418, 64410245, 6052891, 36734763, 10148911, 72639193, 47349431, 35164341, 17535184, 9815567, 48573524, 93898343, 13069568, 17814667, 77874438, 8164614, 85766347, 18050038, 51565532, 15166187, 4882102, 4640083, 12797032, 166111646, 258959269, 28636233, 72485677 ], [ 82816544, 44143729, 70644556, 74511019, 122940166, 7829423, 29738778, 49006875, 5863279, 16677736, 33741451, 1616244, 114868483, 75666424, 57273016, 31653922, 16975223, 13983601, 45008831, 6455373, 13958272, 76428587, 29699391, 24596848, 8151623, 34729115, 49385758, 46274253, 4139590, 21147669, 24541300, 10801881, 92420806, 86439671, 20098098, 22598478, 66897389, 66658108, 27158700, 109139064, 157856960, 30692901, 208384156, 52181735, 26866339, 168446, 2142306, 177545, 113581137, 37590260, 26014536, 23922751, 2530104, 21139736, 29618244, 10654555, 17628513, 10537101, 23348445, 70766051, 23625052, 91164240, 11447161, 23951579, 161047259, 284203, 34810231, 3749884, 16242110, 11128502, 3837077, 56259894, 61729951, 1839938, 105449809, 64300191, 52492171, 42318534, 4191331, 1081391, 39209662, 4733870, 60195833, 2805019, 92400475, 23136344, 32312309, 40892670, 26360257, 57800156, 47753570, 28940122, 23401976, 19222845, 27348934, 5229812, 9904138, 43573138, 90706319, 1381698, 6187624, 9498304, 12279330, 139840833, 19937624, 4696912, 31099547, 47349431, 7155947, 54455490, 14870913, 48573524, 27123554, 146385614, 8410505, 13721683, 29906894, 134744943, 39902837, 7755034, 2231672, 37227739, 53466821, 35781802, 24579069, 86728952, 39011870, 8385885 ], [ 109617484, 25627318, 40277496, 26633010, 87527441, 48019938, 132516232, 24077093, 31816588, 8550380, 11929755, 28429720, 24388200, 12407040, 104343695, 81504551, 18518610, 50208565, 5312691, 2379434, 48757041, 32090228, 54507159, 29415408, 8151623, 47168326, 147914446, 46274253, 4139590, 21147669, 78720363, 41522213, 94935099, 41973159, 9919743, 25947818, 75183457, 3386458, 9985536, 10061115, 85422202, 32732359, 49905013, 52181735, 39853586, 12349849, 7442454, 5528881, 158281515, 3383382, 195036129, 87331021, 6903960, 28863318, 17366602, 16027700, 24442330, 57345974, 11163758, 74600384, 173636564, 97305873, 17138157, 14707594, 77097147, 4770883, 40681939, 20876282, 6005507, 11128502, 5257902, 15483014, 2585693, 11467229, 128382786, 157144242, 100297601, 92990750, 1864216, 19249411, 41445570, 7202544, 20229254, 85106042, 12184028, 23136344, 83420987, 21240546, 48669013, 57500674, 1357031, 7492623, 92053958, 19222845, 20286424, 5229812, 29930575, 43573138, 26063448, 39331384, 44108163, 108402082, 64410245, 28666453, 19451382, 6358199, 116790021, 2028917, 35164341, 2859788, 16344107, 18245555, 3314149, 75222315, 12780855, 40457437, 17784397, 9219250, 39902837, 34438843, 105648214, 10996978, 48791520, 30294394, 60962507, 41590490, 54663602, 92795193 ], [ 5468845, 55246920, 21464014, 26633010, 35280628, 322160671, 81223123, 49006875, 44140979, 90094578, 16654773, 10829546, 45110786, 12407040, 140173689, 14774209, 50298080, 115646117, 5312691, 56392526, 29984501, 83754180, 21272880, 34088334, 32404941, 47168326, 121964376, 25619854, 4139590, 21147669, 88590952, 125103410, 130629805, 30958956, 3490944, 41163899, 33162509, 54428961, 37541887, 63346760, 124620532, 7658704, 2746479, 20159374, 39598691, 15812326, 3930351, 177545, 92960634, 85786520, 26014536, 14484371, 45328380, 131208413, 74241463, 86751626, 61498834, 6044690, 25272896, 168902627, 173636564, 42627051, 33395442, 83267370, 28367226, 112423991, 131606927, 3446680, 30422587, 11128502, 22704879, 67304138, 43998752, 60270550, 33384915, 94579031, 11894363, 159243263, 29846511, 19249411, 162562720, 98194363, 24766906, 65795980, 6724248, 23136344, 53873620, 12331265, 21569170, 73828439, 119485024, 194630, 46605346, 124127201, 7419018, 5229812, 16990973, 43573138, 34881830, 44020761, 102854686, 52668225, 64410245, 2842731, 108013928, 10148911, 142337150, 21571738, 24247887, 90697145, 31533926, 48573524, 110012260, 87957829, 50989091, 53110477, 123359600, 29920745, 39902837, 22717768, 9498953, 31565282, 17832662, 30294394, 3881236, 84076776, 54663602, 26619903 ], [ 274333149, 97085922, 40672129, 238317939, 136245013, 7829423, 916725807, 92093921, 135195683, 111941412, 34916430, 169131226, 71615469, 13920403, 259643310, 123397443, 50298080, 300598786, 188559672, 91072366, 155369916, 221862552, 54507159, 75612043, 33926751, 43176167, 311684793, 8874972, 31058967, 9811063, 202121714, 16049577, 130629805, 187451739, 9919743, 225807495, 85660278, 27492701, 96217460, 19506752, 108687630, 587747652, 98787651, 30558834, 142006946, 92691144, 31255127, 29378077, 58222733, 52133795, 202061237, 10030682, 286503244, 243158407, 47110452, 3641137, 179471924, 108771973, 406562012, 294779666, 416883383, 142646029, 64012875, 56268860, 341309950, 137077539, 34810231, 49338981, 77858347, 291665744, 83108939, 103903037, 26179740, 118429636, 20588532, 116247650, 295481793, 62078491, 169109617, 167507113, 215980298, 14224410, 416195074, 531061205, 38906647, 71210963, 170647244, 111136771, 10719160, 164468550, 142284667, 7492623, 47854487, 108569573, 149348757, 113269742, 397986618, 43573138, 168350004, 248576064, 470102579, 22447868, 214258680, 15381447, 9595164, 310014367, 160122026, 47349431, 35164341, 260157605, 364340403, 48573524, 108892514, 362575, 240354627, 77874438, 287138838, 40852146, 24346444, 87854678, 292307689, 76350134, 64768070, 78707398, 97987349, 258959269, 99287423, 202311234 ], [ 52978092, 157874990, 91521943, 53684186, 18831969, 64304004, 69487395, 99616307, 20198724, 41997364, 34916430, 74243328, 37689733, 42278554, 49382248, 75380233, 11167650, 129850139, 51287163, 23242567, 22960903, 118009155, 54507159, 7375093, 15072477, 3571107, 10281903, 209129946, 14322792, 21147669, 35615106, 200035563, 13192576, 58009305, 19352756, 41163899, 28206469, 39566957, 96217460, 64448995, 124620532, 68094525, 84751845, 124972417, 24402478, 123631241, 46963576, 250567018, 182288992, 56797729, 50308721, 87331021, 39673329, 28922729, 27114939, 83144255, 171480938, 8221730, 38478205, 221127417, 64474081, 142646029, 44960964, 42752385, 56688951, 129915462, 34810231, 79939435, 7743794, 11128502, 51621629, 104722467, 72526667, 114141491, 211690891, 159936457, 60974175, 83060934, 244193229, 26225179, 45404420, 629887, 24766906, 45077948, 154857054, 111698307, 192082432, 143590005, 72723715, 73828439, 208942090, 159164819, 26591430, 19222845, 55887444, 110746518, 29930575, 14426585, 169212428, 3962925, 6496455, 36828047, 26338059, 92918091, 165357810, 150049881, 142324235, 3824292, 106621987, 67501644, 98946677, 48573524, 8347748, 65276733, 88138403, 73499548, 48719828, 9219250, 152824457, 11520981, 177993574, 67476139, 64768070, 62255495, 208043842, 15839597, 39011870, 20795764 ], [ 132188052, 97085922, 21173329, 140592197, 29255707, 7829423, 35016495, 114864725, 31816588, 71013518, 38036421, 74243328, 8799657, 77612745, 7507939, 127406295, 35635354, 92261174, 142470603, 21811876, 29356258, 40446885, 54507159, 56804650, 32404941, 46559750, 19534591, 228067658, 19995754, 21147669, 173720795, 37210903, 39952062, 86439671, 77008103, 31685849, 16958417, 14280868, 17640610, 12252368, 21867373, 48769291, 49905013, 124972417, 6999984, 181581527, 94025639, 152744940, 182288992, 56346379, 202061237, 87331021, 39673329, 28863318, 98129014, 16027700, 179471924, 7865970, 2633345, 139588084, 31116876, 163526627, 12489754, 19368259, 213648870, 60632945, 9823696, 71913506, 225838832, 11128502, 177832960, 199662667, 16268261, 188268969, 214017182, 116247650, 92847183, 459317714, 24397799, 140724751, 63506446, 7077650, 14834384, 369536088, 26850711, 64745394, 77761287, 143590005, 385435547, 37437763, 31375228, 29163499, 92661222, 19222845, 132075651, 31237302, 56042525, 43573138, 126494195, 58778998, 99357158, 24230525, 51029709, 141197571, 108013928, 10148911, 38484741, 93866529, 31323087, 50939036, 31533926, 109796449, 163620198, 16246892, 93995961, 28350850, 128927019, 135279616, 152824457, 4251554, 10094996, 67476139, 82627888, 12121716, 26256355, 166270172, 20784567, 123716021 ], [ 42188445, 4622043, 91521943, 70298148, 86909672, 125356338, 53068499, 10728620, 5863279, 16677736, 3134393, 6848439, 71615469, 43984272, 49382248, 55260198, 50298080, 1320109, 188559672, 83169594, 29984501, 72435353, 34944851, 9683852, 15072477, 43176167, 70439458, 2252364, 85673659, 12239577, 90105736, 9444588, 44581152, 120120523, 9919743, 60938067, 28206469, 39566957, 23580742, 48807174, 124620532, 21288678, 89568011, 744442, 56922905, 10151165, 46963576, 114037009, 9871713, 2414303, 26014536, 23922751, 6903960, 49729699, 26888288, 10654555, 17234854, 64185138, 11163758, 85967173, 73756626, 22257844, 33395442, 16204944, 46881026, 8767110, 34810231, 5589609, 11960713, 11128502, 32510464, 64570389, 107607561, 28730007, 105449809, 35852764, 39107390, 22464142, 50338537, 3616418, 76332171, 97416900, 24766906, 12665720, 72263710, 111698307, 31450107, 143590005, 44419362, 8024891, 13495800, 7492623, 23401976, 19222845, 77307430, 5229812, 33930366, 20716534, 6461659, 107067761, 86440025, 54248161, 22173503, 108686905, 63531867, 39897820, 144230593, 47349431, 19607887, 27680244, 9839641, 48573524, 11621221, 42779730, 12780855, 45039722, 4285659, 31934816, 39902837, 34438843, 7805551, 67476139, 12131953, 21795081, 65857149, 4957152, 39011870, 10498243 ], [ 210908940, 97085922, 91521943, 194181841, 136245013, 7829423, 27025720, 28133036, 73940934, 21790711, 66907328, 60970584, 67277419, 13920403, 36634874, 97040366, 76141940, 168618645, 9508356, 6776719, 17088587, 46042705, 54507159, 93712227, 4836413, 117016792, 24077727, 46274253, 70262387, 21147669, 50069238, 11258213, 28190702, 19490018, 9919743, 107832548, 122829624, 28772929, 110155120, 189391099, 11142073, 7616952, 98787651, 11997696, 239972320, 10151165, 4572319, 104486912, 139981176, 85786520, 167774951, 87331021, 60673092, 28863318, 98129014, 23754173, 71248958, 472332237, 39065278, 32460033, 144405045, 18287924, 5197906, 7073798, 113661543, 23458859, 110304335, 20876282, 41569361, 11128502, 1927362, 93778652, 43998752, 12467909, 50213285, 17535400, 51159294, 31532024, 19353368, 61189511, 94367292, 43674463, 27000061, 82217480, 71345950, 39966492, 37774667, 119620429, 52984891, 15850384, 28854300, 7492623, 23401976, 19222845, 117369863, 5229812, 62035256, 32790822, 23441476, 32328827, 403723194, 68163779, 22173503, 4559581, 36604720, 2904225, 52774061, 143265564, 35164341, 39156272, 31533926, 31595333, 1250663, 54058096, 35871172, 30217700, 142519476, 62252820, 39902837, 94962878, 7805551, 67476139, 6464083, 4842699, 63161180, 100465845, 57156642, 24776891 ], [ 70119106, 29004619, 91521943, 309145774, 136245013, 7829423, 109505570, 130453420, 47429823, 157568704, 66907328, 74243328, 67277419, 13920403, 89144686, 2485275, 126242755, 124117532, 29157526, 6776719, 1887686, 176407070, 48133062, 34088334, 41774497, 47168326, 230950448, 61290542, 36979083, 9811063, 158349720, 387601060, 14568974, 269299889, 9919743, 100200947, 91031373, 206894540, 309515205, 161168419, 48001691, 7616952, 82460072, 10421108, 173142982, 13424181, 46963576, 27895354, 146837829, 8087647, 167774951, 23186745, 5858647, 211551143, 17366602, 13802806, 75770217, 112208048, 14648640, 221127417, 10438450, 149251057, 17095974, 7073798, 18108713, 137077539, 22249452, 12512447, 126858258, 11128502, 330544081, 166078129, 26179740, 272079305, 33384915, 116247650, 86096671, 12703603, 95255415, 108979105, 21471348, 74268006, 24766906, 26791723, 179762713, 23136344, 103389632, 8876716, 13962501, 98707496, 132045118, 7492623, 114410132, 46809647, 9375783, 5229812, 44055985, 43573138, 205158783, 105088789, 34368985, 22447868, 64410245, 15381447, 106243040, 60881301, 13569959, 21571738, 35164341, 94194490, 114567961, 35473449, 1302241, 138495852, 35871172, 77874438, 9586020, 62252820, 10387097, 2900635, 190526386, 42850246, 25147381, 66143214, 52693652, 100465845, 364167875, 82023210 ], [ 42188445, 62837287, 91521943, 83435634, 25250851, 27667633, 81223123, 28133036, 47429823, 6475993, 119367130, 74243328, 1644959, 118749865, 21479347, 52548829, 206066800, 148363555, 20662123, 6776719, 2010483, 99972989, 54507159, 1526538, 82651036, 285087, 141286325, 1304284, 4139590, 18419991, 17851763, 48525486, 71525322, 19490018, 9919743, 107832548, 140274632, 123969568, 240537181, 26723723, 10758040, 7616952, 4528959, 2768787, 233310978, 126359690, 46963576, 14928801, 164234895, 20656455, 26014536, 36602426, 51243350, 20380399, 59857663, 42471325, 17500540, 60769966, 11163758, 9555816, 43935746, 66703717, 33395442, 59464778, 91914071, 23458859, 73859478, 1110301, 66162324, 11128502, 40909787, 286782034, 104330210, 12467909, 123048001, 34099829, 69710786, 43988455, 10845223, 19249411, 24684180, 629887, 24766906, 67433929, 75852891, 57343845, 2017147, 34969278, 39548997, 40672145, 28854300, 7492623, 43353329, 19222845, 26139271, 5229812, 33930366, 43573138, 47426181, 29788284, 6496455, 26582099, 64410245, 185904775, 29603894, 66672821, 40607043, 43313435, 27649900, 94194490, 31533926, 21845061, 108892514, 194919342, 158375120, 34704420, 82120462, 9219250, 19888394, 83135938, 138068521, 56318786, 6464083, 12797032, 108646659, 58947760, 54663602, 6315096 ], [ 63235793, 36539407, 91521943, 194181841, 38169205, 7829423, 48969750, 99774050, 26316979, 6475993, 126856013, 58519521, 71615469, 60825963, 27208419, 248407802, 15085318, 58008113, 51287163, 2796886, 116079608, 18110608, 54507159, 36846438, 44909787, 47168326, 16674892, 105382331, 4139590, 21147669, 32318278, 96838346, 36743817, 16112091, 9919743, 404426957, 140274632, 57957112, 273364852, 97208240, 37678536, 104953017, 98787651, 2768787, 13567829, 58745990, 46963576, 113887543, 250035824, 196361644, 26014536, 36602426, 45254218, 67955405, 26888288, 30363827, 22877542, 14133496, 177356704, 108112636, 61606123, 24647788, 38504136, 55764009, 25872681, 4657423, 63658672, 4267729, 36603489, 11128502, 38846576, 93778652, 12873107, 60270550, 23886139, 34099829, 20277073, 4232416, 9715890, 19249411, 73122758, 55155970, 11914058, 130404907, 364173657, 79844676, 58549387, 84534261, 55075676, 78010082, 89650984, 7492623, 348014496, 19222845, 62289908, 65146730, 26063013, 43184542, 61738332, 122662315, 63065524, 79171036, 42410573, 186406716, 19451382, 150049881, 36849268, 56979759, 20541419, 25943146, 147594662, 152283894, 16185697, 3160277, 35871172, 40457437, 164962565, 38664862, 162226585, 2900635, 43942944, 34839186, 136316317, 78707398, 104069106, 4957152, 12448099, 6315096 ], [ 42188445, 46317714, 14964313, 43872504, 39972185, 18531181, 84559906, 30391140, 47429823, 6475993, 22907577, 74243328, 22320122, 111168724, 19411465, 41574475, 105901672, 30826342, 29157526, 6776719, 2010483, 18110608, 51528750, 65539495, 7184443, 23604150, 1271261, 52302585, 4139590, 18419991, 85262449, 70712698, 13784895, 19490018, 980225, 37905788, 26161693, 27770664, 81629930, 10679662, 20815529, 7616952, 77608895, 2768787, 40274726, 11726243, 10632330, 52249796, 60031440, 2414303, 26014536, 96896842, 39362456, 20380399, 74241463, 22274848, 162803235, 8221730, 11163758, 32460033, 10438450, 63182600, 44960964, 15008321, 81601713, 35065222, 90060050, 59141280, 7445093, 11128502, 47613840, 33597314, 39131753, 12467909, 51862295, 58033401, 687837, 12703603, 24397799, 19249411, 410280, 8458128, 24766906, 33996742, 71345950, 59787698, 25127691, 8876716, 1064084, 25591598, 28854300, 7492623, 62562029, 19222845, 5612377, 14346587, 9904138, 20082573, 3522355, 3962925, 158133488, 19525414, 11205384, 52793063, 23980879, 54920280, 17786957, 14415215, 20541419, 17299405, 8198026, 18668880, 34900327, 47114933, 25590541, 2138343, 14711515, 62252820, 65373577, 2900635, 20933357, 67476139, 2996030, 4842699, 78900336, 43081569, 33579362, 10498243 ], [ 254768280, 78707005, 91521943, 252428278, 12984759, 7829423, 81223123, 112408125, 48102957, 14650532, 6003605, 74243328, 71615469, 71202759, 57273016, 142077666, 30502698, 115646117, 14482665, 149866142, 29984501, 42114126, 44994984, 34088334, 43722381, 3571107, 16674892, 46274253, 85673659, 12619999, 32318278, 55706483, 66123117, 69881944, 4133651, 15006975, 93926470, 111646838, 123746187, 26723723, 36108440, 7658704, 37838831, 77327798, 25020292, 37449118, 50415072, 42867505, 48578787, 2414303, 50308721, 86665551, 161036725, 17046990, 17366602, 221675253, 179471924, 130374730, 14648640, 50100989, 10098227, 163526627, 10055390, 48164330, 241139092, 23458859, 97708062, 15165478, 57035622, 11128502, 81048222, 166078129, 246904831, 155918499, 27303075, 76258876, 91677362, 25369199, 95255415, 53956192, 76332171, 629887, 54757914, 27582296, 71345950, 23136344, 166806064, 15301898, 87348873, 40672145, 6882992, 7492623, 226426930, 19222845, 65352389, 5229812, 112933094, 43573138, 238204312, 3494053, 212886523, 29449738, 48659214, 2842731, 29603894, 115582686, 40607043, 77899807, 35164341, 44038538, 8198026, 86962277, 69997795, 117633905, 84334027, 24982745, 14187457, 98757284, 1588375, 51565532, 37035196, 58363570, 41545619, 75288835, 13091218, 235151078, 138011131, 10498243 ], [ 155487815, 1475812, 41788567, 54316887, 74072065, 29125178, 13557540, 10938352, 62136035, 205630871, 8269591, 74243328, 71615469, 65401774, 290874010, 42286843, 156185582, 10053466, 87527459, 131129715, 29984501, 355950101, 54507159, 34088334, 14533353, 85558127, 7304708, 31043805, 4139590, 9811063, 90105736, 110400755, 112337106, 351777823, 7603521, 113106736, 89979232, 386689295, 32765113, 109689335, 44288010, 57737813, 54049957, 124972417, 239972320, 57317810, 33535188, 145062040, 84387194, 35503121, 26014536, 48322024, 95117959, 28863318, 98129014, 13802806, 179471924, 26083446, 14648640, 79400751, 35055757, 157094857, 33395442, 48164330, 175357514, 23458859, 4469537, 146382436, 25010263, 11128502, 30997187, 50610089, 26179740, 56030648, 100699139, 408239020, 65833966, 31134821, 10845223, 19249411, 67195248, 194738257, 110462957, 45077948, 100146968, 23136344, 373553784, 143590005, 16318277, 73828439, 1606808, 7492623, 53375586, 19222845, 753970, 5232805, 26390262, 6371671, 41613335, 81208466, 112673468, 22447868, 64410245, 132992065, 165357810, 125456359, 160122026, 43313435, 12821873, 10655704, 207442129, 152283894, 79458020, 121878338, 22984477, 71439470, 14187457, 9219250, 24346444, 81701109, 21759941, 124192045, 42882095, 75288835, 157921455, 161070337, 39011870, 34839164 ], [ 25459491, 97085922, 41788567, 18638039, 23154159, 7829423, 3365329, 143527101, 133768524, 15903875, 975437, 58519521, 71615469, 54496078, 41138122, 63014316, 11167650, 43452128, 8914675, 173625911, 29356258, 266002861, 46989865, 75054028, 14533353, 43176167, 147614956, 8874972, 10088685, 21147669, 90105736, 39720101, 34376362, 152315735, 9919743, 39950758, 26161693, 10306670, 53354759, 109689335, 238410, 18885614, 50476150, 24912970, 26323680, 2744430, 22487531, 61890737, 102949115, 14516404, 2517725, 87331021, 1098358, 35303013, 47110452, 24160084, 75770217, 60769966, 4802336, 79400751, 137469791, 6165608, 29346361, 48164330, 25872681, 14037187, 101831917, 12512447, 7079907, 11128502, 30997187, 249004162, 5671570, 56030648, 20588532, 19160258, 26203196, 4232416, 29617518, 167507113, 32493171, 7053609, 46905560, 46410312, 137719581, 23974405, 3440163, 14290980, 85715657, 12571273, 1472256, 7492623, 82716240, 19222845, 15272083, 19581465, 9904138, 3374612, 167775549, 30702354, 82796933, 81952187, 16192010, 64613109, 110789681, 34118772, 38484741, 21571738, 2196629, 15152816, 62177561, 3518038, 1250663, 58672491, 75790376, 77874438, 14187457, 9219250, 678656, 46848707, 103526719, 76350134, 13062935, 32373667, 61553208, 15839597, 42988430, 3402122 ], [ 161162372, 97085922, 47143376, 66718259, 136245013, 27593176, 30202580, 117250155, 31816588, 69172837, 119367130, 61471504, 43719121, 42278554, 57273016, 106614122, 45960502, 79292444, 156632895, 12230160, 17088587, 455659688, 54507159, 39015570, 4836413, 43176167, 49766966, 41914876, 94966122, 6555506, 50069238, 11873405, 13192576, 103273685, 9919743, 29029864, 140274632, 941774, 110155120, 92336763, 85422202, 124550739, 98787651, 124972417, 39039705, 48317508, 46963576, 72838143, 103446597, 40548519, 7331533, 15202706, 174860445, 67955405, 17366602, 86751626, 55492492, 409797039, 68601867, 68534177, 166121616, 19178764, 28018566, 15008321, 4695700, 23458859, 107754139, 13648656, 50568960, 11128502, 30997187, 188139257, 104330210, 83174504, 36177825, 67053694, 35615538, 140042500, 10845223, 105238801, 124479787, 46523739, 24766906, 59312652, 9682972, 222182703, 4519966, 63061736, 34164230, 73828439, 15208981, 7492623, 15273634, 51195759, 53228453, 13025775, 49803073, 6823891, 25313656, 81208466, 192153507, 218835269, 17693913, 112236543, 79147676, 58838564, 52774061, 63785001, 145207535, 63829230, 31533926, 79397894, 1250663, 24390536, 30773422, 77874438, 142519476, 140348123, 162226585, 7755034, 43942944, 27708952, 151837991, 32373667, 23136354, 58965950, 166224448, 107971872 ], [ 14107149, 38167608, 41788567, 53684186, 136245013, 27667633, 13557540, 2576051, 25044537, 118506485, 23414985, 61471504, 162302188, 75666424, 57273016, 19376009, 36090254, 10053466, 136269790, 25067792, 29984501, 46042705, 36687281, 16439853, 7756224, 455495, 70439458, 46274253, 8128185, 6555506, 34951952, 48525486, 34877953, 79774038, 7603521, 18914570, 75658524, 80348667, 44363295, 17827532, 173235962, 9182292, 114412716, 29705619, 39598691, 47431684, 46963576, 33027000, 94612090, 52133795, 15383545, 20481205, 85872976, 8016238, 74241463, 10654555, 177760154, 44354397, 14648640, 6610976, 2470016, 49707186, 33395442, 48164330, 745699, 12230464, 80665036, 20876282, 23333317, 11128502, 27213168, 107479082, 36268364, 56030648, 20588532, 157861051, 26633138, 9058477, 86817802, 26225179, 45762368, 93521448, 24766906, 45077948, 17789655, 23136344, 71982284, 143590005, 52984891, 66106334, 76159176, 72924519, 47854487, 15739194, 141771750, 5232805, 87409555, 6371671, 131610126, 321143, 50356547, 24914274, 7145079, 235595153, 113685861, 123198729, 36165571, 116187027, 102857154, 10655704, 49793696, 189808932, 34900327, 13069568, 154674582, 77874438, 14187457, 319587680, 88814411, 34438843, 237942594, 24773796, 69990386, 32373667, 19894545, 41984020, 39011870, 18448002 ], [ 82816544, 13262061, 91521943, 4208636, 69056146, 7829423, 3430408, 83687780, 14564960, 16677736, 28286860, 56977267, 50020315, 36020946, 57273016, 21034128, 75252243, 148363555, 54252897, 91072366, 274219147, 99847869, 7192050, 91592187, 84389921, 1778695, 70770936, 76582235, 40907680, 21147669, 33422527, 150898839, 13192576, 319474341, 9919743, 22598478, 71870895, 52916695, 117930035, 50595135, 35463597, 64116738, 88954935, 55240504, 133202078, 45054839, 12536229, 33027000, 27658597, 41380616, 26014536, 87331021, 74393023, 21778984, 98129014, 86751626, 55170009, 6045037, 37915917, 6610976, 55096140, 826623, 124832455, 4081438, 61780481, 34035772, 2235822, 313465, 144559530, 11128502, 94932526, 35693120, 51715442, 194348322, 69113985, 14124872, 26633138, 62078491, 11341663, 40181635, 47164747, 629887, 17345118, 8708026, 6313052, 7244825, 192082432, 143590005, 6355826, 73828439, 7898527, 7492623, 47854487, 19222845, 247338002, 88499034, 2754363, 3240417, 66839251, 149229613, 31190782, 36104330, 21893811, 8363643, 24435136, 94160696, 16100879, 25347293, 26093144, 63829230, 49793696, 86332701, 108892514, 75433598, 126226810, 77874438, 39907521, 42496587, 162226585, 38038820, 43942944, 38005380, 42419152, 35781802, 249551976, 2330188, 13486249, 48756787 ], [ 48319627, 25627318, 91521943, 80487212, 1259187, 48019938, 81223123, 61130075, 47429823, 121760687, 14892926, 61389623, 162302188, 60143068, 2130868, 53224445, 105084046, 86263936, 5312691, 6868206, 29984501, 46042705, 2934068, 34088334, 101437440, 47168326, 12033616, 46274253, 36979083, 9811063, 32318278, 9689262, 62021189, 68079051, 79765434, 21381525, 122829624, 292082620, 163467739, 101321538, 161630182, 39668587, 82641762, 53333722, 75524131, 1403991, 22740728, 5528881, 158281515, 78224680, 17102459, 87331021, 28551907, 49539256, 74241463, 13802806, 38742895, 308416947, 14648640, 7323562, 3895893, 93572847, 33395442, 48164330, 124951231, 27518875, 110304335, 20876282, 201308841, 11128502, 22704879, 74636982, 341172, 7634706, 3968109, 76478636, 14307307, 75051584, 71233228, 108979105, 74188261, 46523739, 24766906, 169005643, 12184028, 8512282, 167246148, 143590005, 48669013, 73828439, 75348661, 31452869, 350785028, 13197936, 78189420, 100153167, 28136875, 43573138, 44582662, 32328827, 131422506, 22447868, 64410245, 28666453, 7377108, 27361274, 43767513, 40560796, 16689513, 13347083, 49226445, 21180632, 123654500, 2420416, 30727479, 77874438, 14187457, 3660070, 19980589, 172064954, 105648214, 26230808, 48791520, 78707398, 129515953, 45568316, 28458638, 158189237 ], [ 297616339, 22529708, 57791115, 126541649, 1259187, 38081745, 5481880, 30975981, 18831914, 49068876, 20580688, 28429720, 24388200, 51991602, 15046430, 4942924, 148249129, 8676863, 29159332, 56392526, 29984501, 80782010, 40985255, 34088334, 22708003, 3571107, 17558543, 46274253, 4139590, 21147669, 145809542, 48525486, 130629805, 104786235, 87667685, 76964385, 20962707, 21224022, 34974035, 36700884, 27851172, 10259202, 67534137, 10421108, 35128521, 28257547, 22740728, 57322508, 79187697, 89951883, 26014536, 38680821, 31024540, 128500669, 19560718, 15689341, 127402984, 35165228, 14648640, 37539156, 35213388, 163526627, 33395442, 48164330, 18108713, 17474196, 20732393, 15165478, 174174712, 1346686, 22704879, 104722467, 43998752, 60270550, 38764659, 159032829, 125402130, 173257105, 19353368, 19249411, 160852422, 48358830, 27000061, 64944390, 32908317, 23136344, 83022485, 8528849, 151560351, 16180111, 1357031, 71879988, 127308940, 19222845, 24516914, 5229812, 49803073, 38377600, 46980226, 81208466, 48335306, 79870237, 64410245, 38373659, 31826721, 23436483, 1030147, 77899807, 16689513, 63829230, 26595740, 83413215, 34900327, 3471774, 205947635, 12788432, 14187457, 32163152, 30831925, 7574241, 32182005, 3131611, 17832662, 4241466, 62547840, 49757387, 54663602, 20795764 ], [ 35635944, 94021382, 69891117, 80487212, 136245013, 7829423, 79637730, 49911722, 47429823, 245761981, 119367130, 69354034, 86848865, 190290853, 110703301, 131150316, 7913937, 139863810, 83362608, 128972561, 33023051, 32239716, 10966645, 34088334, 35481354, 47168326, 3832209, 84119448, 4139590, 21147669, 32318278, 59871131, 91637449, 181019157, 28755322, 107832548, 278220, 75428251, 562100, 36700884, 176771674, 87584941, 186700543, 45341313, 100848002, 72681927, 46963576, 5528881, 79187697, 131123463, 1471845, 38680821, 246096465, 21139736, 74241463, 10654555, 113030388, 6044690, 30868299, 3830666, 229189563, 163526627, 14882652, 13595875, 16324642, 152204219, 131606927, 121142618, 21364041, 11128502, 65080746, 35655366, 127258020, 60270550, 81176939, 17021349, 115588337, 43735364, 218541110, 19249411, 18134146, 109922148, 24766906, 152145799, 32908317, 23136344, 54883610, 81671261, 48669013, 82618993, 44381614, 69176946, 71631268, 19222845, 264493512, 5229812, 102647600, 43573138, 205379607, 82379273, 1441107, 290640124, 27030575, 26342966, 158382822, 45561590, 28789537, 67370304, 35164341, 44202137, 120832898, 3198015, 16653925, 44661033, 20690150, 77874438, 48268857, 106765237, 39902837, 83135938, 105648214, 54314133, 77704123, 4241466, 136943677, 340567, 54663602, 158189237 ], [ 49007854, 97085922, 83664605, 23796612, 125013236, 96017099, 81223123, 24077093, 47429823, 233495439, 74341567, 12897912, 11184496, 75666424, 100320827, 18739279, 98507634, 148363555, 34562533, 49821415, 29984501, 114925685, 37493, 7251821, 81649881, 43176167, 7868675, 94664440, 4139590, 21147669, 77253957, 116621178, 39949637, 231457252, 9919743, 22598478, 140274632, 13207347, 562100, 57103513, 6402498, 81727427, 44284045, 124972417, 69891208, 160633157, 46963576, 142584450, 112709691, 142167405, 26014536, 48714241, 78451727, 28922729, 46245928, 147319709, 15934128, 38327945, 5763419, 186875839, 4267322, 163526627, 33395442, 5844763, 77097147, 247032513, 131606927, 56098799, 43120244, 11128502, 127216809, 69695213, 128417148, 60270550, 60752039, 29962433, 142157452, 88250247, 61920654, 1100011, 95143630, 156045941, 24766906, 133862971, 43412957, 23136344, 39602282, 125279328, 14948307, 147653848, 93305150, 7492623, 115071558, 93696788, 68169066, 5229812, 113461032, 43573138, 142714957, 3962925, 407688557, 79870237, 28544756, 49148075, 135848565, 36643396, 31363216, 55990207, 35164341, 13010805, 27387646, 82340283, 86283875, 194919342, 100899256, 9980691, 123359600, 21532160, 39902837, 34438843, 34819003, 28870952, 22032563, 78707398, 62547840, 142619239, 54663602, 95505747 ], [ 297616339, 57882309, 80993338, 1383689, 119583545, 88259316, 5481880, 24077093, 23217896, 71013518, 77288201, 28429720, 71615469, 75666424, 57273016, 71167525, 123300023, 49463603, 62015758, 138673085, 25190317, 82529583, 21425487, 90101743, 71670348, 50818686, 4848730, 1304284, 4139590, 9769409, 145809542, 102307762, 40148963, 132093661, 9919743, 22598478, 42769264, 137494900, 562100, 37153598, 88913394, 13424672, 98787651, 36259231, 39853586, 83111562, 135311828, 159106323, 136614514, 85786520, 26014536, 42989792, 5925679, 67955405, 98129014, 86751626, 179471924, 60442642, 11163758, 15659086, 43935746, 96510512, 166247101, 143140489, 20743758, 23458859, 91489566, 312940241, 2588967, 11128502, 96681116, 96464380, 2585693, 60270550, 140126299, 168625289, 14009106, 92990750, 165181745, 15307991, 76332171, 28654178, 11914058, 13800938, 94396060, 141803885, 107412209, 65261005, 16446832, 45315856, 1357031, 7492623, 50707238, 19222845, 77420654, 5229812, 113461032, 43573138, 15119428, 81208466, 5299018, 47576577, 20110508, 119438294, 40464, 3961201, 46887196, 20306157, 35164341, 66743373, 26595740, 18245555, 108892514, 75222315, 39972636, 17009030, 37970520, 27901493, 39902837, 42178418, 10094996, 41243625, 169321789, 78707398, 7276984, 166270172, 54663602, 119328748 ], [ 116173051, 97085922, 11976937, 100302753, 136245013, 8519095, 16410533, 41655514, 276286689, 148288551, 94287972, 14124808, 79553842, 379802993, 13088104, 13112516, 16975223, 71970394, 51287163, 12230160, 69861726, 46042705, 48133062, 34088334, 21710163, 117016792, 15157125, 82582567, 85673659, 21147669, 182484876, 11712567, 54432584, 91141172, 14422102, 58547644, 246532943, 142975929, 115171209, 34253557, 125121146, 39668587, 62927217, 198760923, 56922905, 58082820, 7442454, 23554704, 165851647, 132856167, 17626610, 38642219, 44191059, 95921816, 61661433, 11735842, 146736486, 132840757, 178142128, 37539156, 35055757, 163526627, 166247101, 64593191, 143892374, 343441471, 131606927, 358625983, 17521143, 233109284, 415249929, 3453250, 110406079, 163243117, 128382786, 188749759, 179762463, 503265007, 194454780, 195157666, 201411293, 3920990, 128664303, 26791723, 3360922, 23136344, 192082432, 28284679, 20337306, 25966059, 27364939, 29312532, 19538918, 19222845, 338975651, 5229812, 47946239, 43573138, 26063448, 32328827, 22953946, 18668538, 225326121, 350278834, 11269974, 45561590, 64827207, 165664952, 28555509, 94194490, 114265518, 14097061, 130058598, 61503867, 22984477, 42316175, 123359600, 178115753, 39902837, 22717768, 166890781, 9601057, 102638455, 30294394, 140132668, 166270172, 106515484, 12517399 ], [ 36165227, 623171634, 40672129, 26799884, 136245013, 201805877, 365829620, 281574122, 523407541, 233495439, 652602209, 74243328, 67273440, 62120632, 136634318, 515116739, 73125700, 148363555, 51287163, 138673085, 75458258, 29555188, 54507159, 215565455, 81649881, 140043501, 157290340, 94664440, 492558493, 21147669, 110960290, 320413667, 39949637, 181019157, 637692037, 51841478, 277657016, 175444902, 94263588, 194479144, 55023608, 87584941, 49905013, 124972417, 251836186, 181581527, 391816016, 287554625, 170283539, 309441128, 26014536, 10030682, 466824888, 382618452, 98129014, 414750402, 48212736, 66324518, 229535149, 220357876, 339003193, 300137156, 102828204, 488090161, 189214701, 251200999, 131606927, 320793100, 535701918, 11128502, 96556219, 104722467, 981692954, 28358421, 56088204, 29962433, 31236690, 107055693, 106097577, 1142540095, 45483882, 83560842, 40399851, 289650758, 371790041, 169104979, 143989921, 143590005, 252921579, 138806871, 44381614, 114032897, 26591430, 93696788, 66625498, 135808020, 109667981, 43573138, 154662196, 310801574, 94151193, 79870237, 64410245, 431741214, 391617449, 487719289, 253400176, 55990207, 122703707, 242639146, 12619239, 240288566, 130058598, 6093032, 15882741, 77874438, 48719828, 213109691, 162226585, 182220662, 282759339, 67476139, 215891480, 193619970, 208043842, 142619239, 166599077, 28598678 ], [ 24175356, 97085922, 13184479, 31312792, 33277103, 7829423, 78389535, 65632207, 20429613, 2749868, 107526479, 69723297, 177963683, 88524018, 49382248, 69740860, 65678101, 277355111, 75816273, 128972561, 122547919, 118009155, 44167442, 34088334, 72655808, 33467948, 17558543, 80421674, 4139590, 21147669, 182484876, 30479417, 130629805, 26419912, 83191971, 107832548, 85660278, 73676270, 156354539, 36700884, 85422202, 44549430, 130027656, 124972417, 88335581, 72681927, 46963576, 5528881, 621341, 175184545, 6678859, 33053331, 3231374, 11660676, 17366602, 157474899, 179471924, 6044690, 412715695, 228033760, 39282036, 12087326, 83586451, 165832066, 25872681, 152204219, 107754139, 103914247, 36603489, 11128502, 4082791, 154347737, 33098749, 60270550, 20588532, 40557840, 142157452, 4232416, 141325403, 19249411, 45404420, 84895238, 24766906, 170074102, 54194653, 9835800, 15466587, 10724484, 3572918, 73828439, 214718307, 65550823, 8702321, 19222845, 97838497, 5229812, 67706453, 15323433, 99536686, 174059826, 24297952, 128389885, 64410245, 471574, 165357810, 58271000, 125256191, 17664960, 35164341, 4368040, 364340403, 5418964, 108328295, 21702030, 179854227, 71561743, 39586600, 107331995, 39902837, 73748548, 47211406, 10996978, 34312063, 78707398, 49009480, 1832243, 49603081, 46466454 ], [ 24568957, 70659297, 68189286, 27543629, 6697520, 7829423, 123781816, 278551602, 19217990, 263104485, 200716072, 58519521, 7427706, 40969186, 49382248, 200882323, 76141940, 58008113, 51287163, 184623740, 58823692, 46042705, 48133062, 17538178, 9159656, 43176167, 20569519, 159392171, 85673659, 21147669, 87620829, 242606352, 40279073, 64208091, 93282730, 189271944, 15948992, 87695176, 84598180, 194479144, 55023608, 39668587, 159814100, 24447404, 16783383, 10151165, 46963576, 22668211, 31732514, 26796532, 157653366, 87331021, 111175371, 49755262, 74241463, 10654555, 75770217, 8221730, 14648640, 16330527, 92363687, 300137156, 5074702, 47980771, 125198802, 30453465, 69562943, 12512447, 107530729, 11128502, 13412774, 6038789, 44582393, 171361126, 33384915, 49951593, 60974175, 30242251, 95255415, 108979105, 45404420, 10632238, 12545425, 26791723, 7835358, 23974405, 119891652, 11672094, 52984891, 40616298, 38518508, 241891150, 2360987, 19222845, 15727200, 140188466, 33689536, 23010902, 114793140, 32328827, 60218234, 48624662, 22173503, 123391977, 5910747, 60881301, 26800161, 21571738, 122703707, 246849170, 12619239, 52679508, 47260902, 29581038, 24729259, 76708615, 14187457, 34703868, 65373577, 11520981, 7805551, 277962867, 49873395, 35070931, 14459120, 248847897, 33560528, 158189237 ], [ 50473785, 37486814, 761466, 7150769, 2731433, 7829423, 108092179, 10728620, 47429823, 69172837, 119367130, 58301921, 71615469, 59370111, 104703642, 18739279, 152292637, 48905963, 8311597, 19187888, 17088587, 189978470, 32609310, 64771759, 4836413, 47168326, 3832209, 16061053, 4139590, 9811063, 50069238, 86396437, 130629805, 103716003, 9919743, 45574469, 278220, 13208849, 562100, 18721794, 11081450, 9182292, 84751845, 116766531, 7150152, 181581527, 3930351, 177545, 27658597, 85786520, 26014536, 87331021, 51243350, 97110571, 46245928, 11735842, 103045746, 6045037, 8272722, 16330527, 33802929, 36211929, 90223625, 4081438, 6072719, 4770883, 106493026, 9266678, 43120244, 11128502, 22308748, 3453250, 26179740, 50390279, 20588532, 116247650, 27684402, 71844519, 19353368, 19249411, 49030490, 51068483, 24766906, 94676650, 7835358, 23974405, 119891652, 97802999, 47087107, 73828439, 1514068, 7492623, 8702321, 19222845, 66625498, 110065123, 225151, 15034865, 18524312, 92249292, 140339137, 22447868, 64410245, 44183112, 165357810, 152096661, 52774061, 104642808, 35164341, 115107034, 31533926, 61523681, 1250663, 217816177, 23536374, 801913, 14187457, 44353125, 24346444, 73479809, 5283439, 9601057, 13234703, 78707398, 70905240, 83112910, 54663602, 48756787 ], [ 74827819, 90161977, 761466, 14699186, 2731433, 53384759, 40264698, 59815771, 28016938, 212447531, 145921222, 28429720, 24388200, 6355329, 208835143, 21736456, 44258547, 42060204, 29159332, 128972561, 29984501, 72913017, 54507159, 50796118, 32404941, 77850177, 9823384, 46274253, 4139590, 21147669, 32318278, 42350278, 40148963, 3141871, 9919743, 15893949, 63462593, 162972403, 3926926, 37153598, 85422202, 10259202, 4528959, 107106667, 39853586, 12349849, 7442454, 5528881, 6687038, 85786520, 4687039, 30636594, 45328380, 118679761, 17366602, 10654555, 16568370, 6044690, 13817472, 86987670, 61606123, 35379752, 33395442, 26703795, 28367226, 11719307, 40681939, 20876282, 16242110, 11128502, 47738403, 12719942, 2585693, 11856924, 20588532, 16712763, 33333343, 190032925, 23137451, 3407996, 163841634, 56860182, 11914058, 152145799, 47483160, 17838300, 93628475, 24270387, 48669013, 45315856, 1357031, 7492623, 78426205, 19222845, 55887444, 5229812, 37119810, 43573138, 26063448, 40504084, 15912158, 1275801, 42410573, 13618800, 19451382, 10148911, 46887196, 52121649, 35164341, 68911876, 26595740, 18245555, 34284518, 18616372, 144776502, 40457437, 69370192, 92925563, 39902837, 7574241, 16330325, 76350134, 6464083, 78707398, 20069025, 119947516, 54663602, 72972672 ], [ 148066980, 8667550, 91521943, 6079169, 97731432, 44157666, 37985077, 16255595, 44095248, 130105926, 11628699, 34518685, 71615469, 97544519, 50053741, 176356459, 35635354, 17285787, 63094669, 79552794, 69861726, 46042705, 52292132, 34088334, 32404941, 43176167, 3832209, 32467176, 36979083, 9811063, 32318278, 17945446, 59590232, 86439671, 9919743, 6019223, 278220, 43011109, 66180648, 36700884, 11142073, 21288678, 54751337, 124972417, 39598691, 10151165, 293546, 5528881, 8380530, 54615929, 29537795, 38680821, 45328380, 49755262, 46953163, 13802806, 27351451, 35327851, 11163758, 33823205, 66163271, 113268227, 79619064, 4081438, 67775484, 37695852, 40953859, 109472526, 26803841, 11128502, 47738403, 56259894, 2585693, 5929679, 105449809, 106174248, 19870242, 21989413, 36187991, 1081391, 71835447, 56751632, 24766906, 59730645, 32908317, 23136344, 38744444, 123070511, 11551154, 2729303, 33647395, 7492623, 243762, 4282038, 37949084, 5229812, 120601115, 20716534, 100487645, 11632480, 61104428, 9498304, 21249530, 13618800, 45652776, 4696912, 18693703, 14415215, 35164341, 13010805, 31216632, 16284884, 108328295, 2795846, 39972636, 77874438, 3124469, 10451778, 24346444, 20672213, 7805551, 67476139, 35652117, 4241466, 89520376, 23362436, 13252763, 48756787 ], [ 112509505, 8667550, 4302510, 66978882, 79467194, 83086094, 175219229, 153116751, 11338106, 101819952, 16792205, 69354034, 11473137, 12265261, 40969013, 45762384, 44258547, 44778422, 128508952, 101189603, 1887686, 46042705, 52292132, 38418940, 25635310, 3680525, 5535584, 46274253, 8717402, 21147669, 32318278, 30479417, 40148963, 327941430, 24431798, 22598478, 16056025, 37016816, 107292296, 36700884, 31539169, 39668587, 4528959, 1120881, 7150152, 565596, 46963576, 62898838, 79187697, 34080952, 27794976, 7980156, 51243350, 21139736, 74241463, 73921269, 26920323, 62614492, 11163758, 62180514, 21156530, 2521744, 44482479, 15779310, 226863641, 19596352, 22249452, 20876282, 66162324, 11128502, 9349723, 104739171, 6127182, 61071207, 274679480, 45023867, 69710786, 25792704, 95255415, 2767004, 38159990, 6306853, 11914058, 61768408, 73867995, 23974405, 93628475, 34969278, 34164230, 18995160, 4822408, 37438031, 112610509, 19222845, 62289908, 5229812, 9904138, 43573138, 147333563, 30702354, 78773030, 57329203, 64410245, 13618800, 126609746, 94484605, 54517013, 79723523, 20953012, 15972571, 332569899, 58765380, 29698535, 120174305, 27117458, 77874438, 14187457, 6095430, 10387097, 7755034, 151407036, 2633619, 23094998, 51246841, 30144140, 121267479, 56960940, 8385885 ], [ 14107149, 65487753, 3161816, 128536824, 136245013, 19122126, 98350183, 10728620, 47429823, 8550380, 102404427, 29950049, 29005768, 62120632, 210261717, 190277706, 35874415, 143954271, 83362608, 51615715, 69861726, 41789018, 54507159, 10003704, 85581431, 47168326, 3832209, 12446119, 4139590, 21147669, 96257390, 21113975, 119456473, 9032557, 18785866, 20839629, 278220, 111646838, 23580742, 64448995, 55023608, 23347262, 225077213, 34390373, 7150152, 10151165, 46963576, 99461273, 212705378, 52360811, 196678114, 39656652, 90500402, 49755262, 74241463, 37183143, 156894790, 6045037, 37915917, 103906597, 19837700, 49707186, 10055390, 7969807, 155421054, 68261053, 20160336, 80379831, 222297949, 11128502, 43978216, 61893095, 29657818, 60270550, 105449809, 47274010, 142157452, 9226336, 23137451, 19249411, 77230410, 125621829, 24766906, 45077948, 106760604, 80502063, 35835147, 97802999, 6180628, 47086206, 33647395, 41447108, 23401976, 19222845, 177060693, 5229812, 49803073, 20939168, 4455127, 1307595, 94151193, 73738388, 22173503, 174160354, 165357810, 45561590, 102658799, 96921378, 35164341, 63829230, 12619239, 171924166, 157135718, 194919342, 41007456, 77874438, 3124469, 24495905, 11257760, 20672213, 7805551, 67476139, 22072167, 78707398, 69495799, 144915952, 39011870, 31961442 ], [ 193071544, 371003405, 13184479, 41770074, 136245013, 83086094, 8644253, 294241364, 9847449, 263104485, 151853792, 74243328, 382786066, 184540454, 49382248, 336049857, 109549644, 85558877, 75816273, 28941804, 69861726, 292817891, 48133062, 54813638, 353443360, 43176167, 349706795, 32467176, 85673659, 277123138, 36342808, 320413667, 168067667, 163079708, 83428992, 54252396, 85660278, 237394797, 217041723, 71854774, 55023608, 149196458, 159814100, 124972417, 119173754, 32860587, 46963576, 12160130, 31732514, 284147889, 353648498, 105897968, 293964089, 161198916, 74241463, 346852940, 179471924, 64185138, 236189217, 221127417, 7946387, 300137156, 164243119, 9782277, 76455607, 213830117, 153379140, 973569542, 105488979, 11128502, 140177897, 345390576, 144387996, 18656646, 20588532, 176878409, 60974175, 83060934, 101634046, 26450406, 208530050, 10158467, 13956413, 26791723, 425399259, 194720466, 23406230, 75144920, 12125544, 26987095, 133304448, 241891150, 26591430, 19222845, 149063548, 44916132, 1527652, 23010902, 101974903, 136658942, 714366497, 106473325, 64410245, 92125347, 57965834, 64046528, 90517572, 291330493, 35164341, 246849170, 12619239, 102390943, 142415073, 223628592, 15882741, 77874438, 48719828, 107331995, 65373577, 73748548, 282817243, 76350134, 290342255, 78707398, 14459120, 86728952, 10375288, 28598678 ], [ 158212146, 90161977, 83664605, 3203906, 90407784, 7829423, 41749182, 130453420, 10369549, 5647677, 33741451, 74243328, 71615469, 61906941, 208835143, 51959001, 16238972, 139863810, 3058887, 282321650, 14201346, 17955149, 54507159, 7251821, 8151623, 15587989, 3832209, 985564, 4139590, 9811063, 32318278, 30479417, 40148963, 76451841, 9520884, 15006975, 278220, 12448949, 562100, 109689335, 51807946, 48946158, 93498736, 45341313, 28107370, 94009525, 140586, 57471150, 27658597, 8700960, 69544403, 72386568, 12789386, 66107608, 17366602, 7352860, 69399563, 6044690, 23348514, 29087430, 30986363, 92008314, 60638287, 4081438, 28367226, 4770883, 43117166, 142246769, 21364041, 11128502, 20324473, 7911615, 18360980, 60270550, 6748453, 116247650, 44868206, 43735364, 131913687, 19249411, 6512458, 9806503, 11914058, 183263655, 132605470, 23136344, 59978117, 81671261, 109066177, 73828439, 107325886, 7492623, 138770330, 19222845, 97838497, 5229812, 113461032, 43573138, 46980226, 81208466, 25234297, 22447868, 20159442, 75270417, 108013928, 3628327, 14861593, 43313435, 35164341, 12699353, 225074685, 44545905, 17980645, 44661033, 70357795, 1778507, 19762199, 285305, 24346444, 54433270, 24089464, 18566907, 111651955, 78498832, 49787971, 340567, 29518243, 31409485 ], [ 24568957, 97085922, 27156500, 71795229, 102434796, 7829423, 226360817, 11122756, 31816588, 96869677, 112236393, 55136879, 399711, 75666424, 105408039, 256542786, 98507634, 78279970, 51287163, 83077663, 274219147, 32090228, 54507159, 273028144, 12828694, 47168326, 16674892, 8874972, 4139590, 98455822, 32318278, 70712698, 39949637, 18212595, 9919743, 22598478, 94499041, 90589342, 12969820, 186531832, 154258459, 37160307, 49905013, 320682035, 141293504, 96005939, 46963576, 5528881, 102949115, 56346379, 150526867, 87331021, 8988401, 66912726, 47110452, 86751626, 38290752, 6045037, 37915917, 70346041, 416883383, 48287149, 38504136, 7969807, 18547858, 25610046, 69562943, 71913506, 1494013, 103130557, 110731659, 104722467, 37333848, 12467909, 105578293, 1643858, 18171872, 107055693, 29617518, 19249411, 197633367, 110217470, 12545425, 195095957, 155501853, 169104979, 18630531, 125779475, 21518661, 73828439, 28854300, 7492623, 124964363, 41413921, 15272083, 44916132, 58884049, 43184542, 97770868, 172985096, 129033603, 164673160, 94614336, 33373381, 5910747, 353142844, 160122026, 18029310, 32211393, 160120908, 16988394, 27382384, 3314149, 138999143, 27163604, 77874438, 273546109, 5643469, 16161568, 51565532, 239457136, 61610043, 6464083, 39389127, 208043842, 86728952, 54663602, 123716021 ], [ 63235793, 97085922, 20551867, 201373945, 136245013, 7829423, 5481880, 126781789, 387013560, 51282922, 200655927, 7556272, 71615469, 59370111, 110703301, 200324416, 206066800, 109218945, 36161704, 555951044, 29984501, 32090228, 49474096, 146725858, 47527318, 257961554, 53767925, 79277097, 4139590, 21147669, 36342808, 48525486, 130629805, 174763978, 9919743, 100200947, 180523003, 88427717, 124560895, 49588790, 154258459, 127431486, 49905013, 124972417, 20723178, 96005939, 165458997, 106395546, 219467424, 212809955, 78338749, 38680821, 8988401, 46099542, 98129014, 28456575, 75770217, 6045037, 14648640, 16330527, 472517033, 48287149, 33395442, 7969807, 25872681, 25610046, 131606927, 12512447, 36603489, 5029475, 119998252, 63592008, 114289760, 60270550, 33384915, 28364330, 358203137, 4232416, 23137451, 19249411, 208530050, 10158467, 44668333, 99400171, 32908317, 23974405, 35069163, 125779475, 21518661, 73828439, 68035297, 7492623, 163871792, 186654683, 15272083, 5232805, 113461032, 43184542, 42653987, 271562046, 207472463, 6227883, 64410245, 112520962, 268784062, 60881301, 146392488, 18029310, 32211393, 150118051, 26152720, 63579621, 3314149, 271356351, 114183964, 11637543, 14187457, 9219250, 162226585, 21117730, 112368064, 126712521, 36401213, 4241466, 11461283, 95588817, 54663602, 55767977 ], [ 42387645, 64577618, 91521943, 5909399, 136245013, 19122126, 157367015, 10728620, 16684911, 512449182, 71756214, 7556272, 20820311, 205641921, 46867475, 86092540, 148249129, 4961308, 151074764, 83077663, 263089878, 1355585, 21156199, 33438807, 47527318, 47168326, 172065782, 46274253, 36979083, 9811063, 182484876, 30479417, 28190702, 6760296, 9919743, 41163899, 85660278, 76234371, 23580742, 67535092, 69134781, 74514401, 98787651, 124972417, 39598691, 8738751, 4572319, 33027000, 14820136, 41380616, 273909778, 8049892, 148925047, 115949654, 58059245, 12221867, 62931609, 6045037, 37915917, 48091385, 137469791, 35379752, 105140044, 7969807, 85769507, 83767180, 1076555, 20876282, 94420609, 11128502, 1927362, 166194665, 26179740, 11856924, 20588532, 231883756, 65031999, 62078491, 52479638, 1081391, 36250338, 121529825, 24766906, 45077948, 40148826, 21484166, 9650165, 84180915, 69036259, 11347502, 28854300, 7492623, 47854487, 19222845, 59640216, 188812797, 62058692, 43573138, 120942694, 149390499, 23210527, 9498304, 64410245, 125340561, 100601120, 2904225, 94349088, 18029310, 96387823, 170075653, 26152720, 152283894, 3314149, 42449850, 204531175, 37966319, 120809813, 53582699, 24346444, 86432338, 164519141, 67476139, 6464083, 39389127, 11461283, 95588817, 39011870, 87851023 ], [ 73278332, 38167608, 91521943, 4412698, 94269496, 19122126, 81223123, 7341564, 25044537, 16677736, 126992149, 74243328, 35461049, 42278554, 140952455, 69497626, 105901672, 146516079, 7011872, 191491871, 344377, 13532960, 54507159, 16439853, 15072477, 77761292, 70439458, 25215981, 49609918, 21147669, 50911841, 30479417, 13192576, 19490018, 229544989, 18914570, 165122319, 61138003, 9985536, 64448995, 14098521, 8336817, 114412716, 117495155, 36597070, 89998484, 4572319, 106395546, 99249481, 12824049, 24144608, 87331021, 45328380, 22453053, 17366602, 16027700, 84948317, 4698523, 37915917, 27143142, 53523994, 163526627, 33395442, 7969807, 77097147, 4770883, 69275328, 3498867, 94420609, 11128502, 1927362, 63592008, 119224033, 12467909, 61216899, 57284668, 8452992, 25369199, 19353368, 26225179, 59944870, 183076736, 229567209, 45077948, 40148826, 23136344, 39753943, 34969278, 8146422, 73828439, 28854300, 188865329, 59814013, 19222845, 97838497, 5229812, 62058692, 5469694, 72877237, 22455383, 101110092, 218835269, 20782256, 239834491, 3452385, 10148911, 116922883, 18528176, 35164341, 68911876, 29187776, 28438216, 17980645, 42449850, 203422381, 54020692, 122363455, 53582699, 5759422, 10524672, 32182005, 155940439, 919956, 35781802, 11461283, 91640975, 39011870, 26049020 ], [ 170429939, 73957937, 91521943, 52262630, 53966626, 7829423, 81223123, 57378568, 47429823, 51572879, 38036421, 74243328, 71615469, 154045893, 49479910, 24581982, 91557141, 89134501, 17604717, 138673085, 344377, 83754180, 54507159, 92954559, 15072477, 3121161, 70439458, 101392957, 15008200, 9811063, 60304146, 70712698, 69607872, 19490018, 7603521, 107832548, 48222143, 94981046, 59371347, 64448995, 110115520, 127431486, 34362516, 74157770, 242214637, 9901299, 46963576, 63645889, 60233218, 296675446, 14745116, 38680821, 45328380, 81373118, 23663798, 13802806, 116601559, 6045037, 37915917, 17090967, 33028130, 75283442, 33395442, 7969807, 113542778, 23408616, 8479096, 323580109, 94420609, 11128502, 30034031, 104722467, 26179740, 12467909, 73863580, 116247650, 142157452, 380982373, 52479638, 1081391, 110618098, 208739985, 24766906, 47720043, 27512793, 37250325, 170834980, 34969278, 33294724, 73828439, 28854300, 7492623, 167760294, 108569573, 199466645, 5229812, 29930575, 6371671, 120942694, 28434005, 96301675, 9498304, 12046729, 132992065, 93482913, 4696912, 38484741, 55800599, 44546373, 68911876, 31216632, 66011694, 79920231, 58672491, 237297449, 77874438, 42034145, 516329, 24346444, 31231186, 206508268, 79131697, 6464083, 4241466, 11461283, 15123677, 45338173, 158189237 ], [ 42387645, 37049060, 13184479, 74511019, 33277103, 7829423, 81207248, 7341564, 25044537, 114231240, 19436251, 4810019, 32943424, 42278554, 35163676, 6977367, 18518610, 57872480, 17039580, 50333601, 47280568, 1355585, 16621108, 3965655, 8151623, 47168326, 16317844, 181026955, 4139590, 21147669, 71489327, 30479417, 13192576, 1422517, 9919743, 52512232, 140274632, 94666939, 23580742, 109689335, 44288010, 74514401, 34362516, 124972417, 21358867, 89998484, 46963576, 120103724, 14820136, 16255500, 176760149, 71522084, 12789386, 105223729, 30771612, 12221867, 179471924, 4698523, 37915917, 27143142, 186033554, 66703717, 82559288, 7969807, 17242752, 124858367, 1076555, 43317630, 50326426, 11128502, 27757256, 89243525, 2585693, 12467909, 20652616, 76478636, 142157452, 144514559, 43615876, 19249411, 59944870, 19213264, 24766906, 35279020, 94396060, 23136344, 114286291, 63306276, 25634552, 55513661, 1357031, 7492623, 8702321, 19222845, 24516914, 5229812, 64743094, 15323433, 72877237, 59239565, 111311857, 8075834, 52699487, 58328562, 103376979, 10148911, 113204229, 18029310, 35164341, 94194490, 26152720, 18245555, 3314149, 75222315, 119098157, 22727121, 74303454, 9219250, 39902837, 22717768, 7440492, 67476139, 6464083, 33348846, 12395676, 95588817, 54663602, 123716021 ], [ 24568957, 22529708, 91521943, 4412698, 136245013, 19122126, 98350183, 158286768, 65730728, 111941412, 24963752, 74243328, 26224860, 296295864, 23331017, 176895019, 126091261, 7714487, 51287163, 128972561, 344377, 1355585, 17237959, 92954559, 15072477, 117016792, 2806988, 2566108, 4139590, 21147669, 216228118, 70712698, 39949637, 19490018, 7603521, 134468743, 180408215, 352522135, 162586864, 64448995, 35609623, 86717559, 34362516, 54319235, 24402478, 181581527, 135602929, 5528881, 60233218, 12824049, 68774826, 8049892, 87034032, 128500669, 47110452, 29246001, 179471924, 6045037, 37915917, 85967173, 116543343, 88409505, 43978709, 7969807, 24101910, 350226579, 1076555, 117143832, 51836818, 11128502, 47738403, 89243525, 195213509, 12467909, 205941861, 283708219, 84094160, 107055693, 52479638, 1081391, 110618098, 70360465, 532857399, 45077948, 102430747, 169104979, 31450107, 96442218, 48669013, 205037107, 28854300, 7492623, 129586769, 19222845, 62289908, 44916132, 29930575, 6371671, 114793140, 165188381, 118121765, 9498304, 20782256, 5129663, 105451532, 4696912, 47583747, 23450023, 35164341, 49044164, 31216632, 66011694, 3266023, 169587478, 203422381, 54020692, 324264759, 2726960, 79851375, 83135938, 51613150, 189436706, 6464083, 33348846, 183176331, 33248008, 39011870, 53692391 ], [ 42387645, 64577618, 44652605, 744978, 33277103, 14956668, 98350183, 7341564, 47429823, 56281284, 4079144, 69354034, 84520594, 42634458, 55628023, 212101950, 206066800, 57872480, 51287163, 18488186, 344377, 1355585, 54507159, 34088334, 15072477, 3571107, 7304708, 44561754, 4139590, 9811063, 145809542, 70712698, 77892940, 15722114, 7603521, 46329521, 9149079, 94981046, 23580742, 109689335, 85422202, 40889447, 34362516, 124972417, 144772976, 40479046, 9255036, 145062040, 60233218, 12824049, 68774826, 87331021, 45328380, 21139736, 17366602, 13802806, 163897309, 4698523, 14648640, 17090967, 68185028, 35379752, 43978709, 7969807, 77097147, 23458859, 1076555, 174304559, 25329720, 11128502, 47738403, 76266270, 26179740, 11856924, 34106109, 51564987, 22311697, 165296508, 52479638, 9740394, 59944870, 180617129, 24766906, 171092487, 102430747, 23136344, 39753943, 143590005, 85715657, 73828439, 28854300, 72924519, 8702321, 19222845, 62289908, 5229812, 64743094, 6371671, 72877237, 81208466, 207298763, 22447868, 20782256, 132992065, 3452385, 5937249, 39598539, 18029310, 26093144, 52004240, 26152720, 66011694, 3314149, 38854668, 200287442, 44325341, 14187457, 9219250, 24346444, 34438843, 258304364, 54314133, 6464083, 35335042, 177912206, 95588817, 13486249, 20795764 ], [ 19340756, 97085922, 40672129, 4412698, 33277103, 19122126, 98350183, 7341564, 47429823, 56281284, 38036421, 34610107, 41062170, 43618328, 133975984, 146878458, 7619152, 10648837, 231378878, 95344586, 344377, 17955149, 48429858, 33438807, 15072477, 3571107, 7304708, 130947305, 85673659, 21147669, 49110095, 110400755, 68969608, 187451739, 7603521, 121188832, 85660278, 271151749, 22981472, 15027481, 22800162, 53265823, 205685598, 744442, 239972320, 181581527, 46963576, 52133253, 7675613, 12824049, 61511048, 10030682, 109880637, 112782365, 74241463, 89522733, 79148580, 4698523, 37915917, 27143142, 47814554, 35379752, 43978709, 7969807, 758187, 190255644, 117692617, 14403749, 173222910, 11128502, 127216809, 35693120, 200331027, 11856924, 20588532, 283708219, 3694189, 57429456, 39037931, 26225179, 8213627, 252869662, 24766906, 45077948, 128009434, 57307319, 35069163, 63149308, 97657349, 12742233, 41389283, 188865329, 8702321, 19222845, 103895466, 62454713, 230233497, 6371671, 72877237, 165188381, 204883448, 27575029, 20159442, 235595153, 3452385, 415707245, 38484741, 260977622, 35164341, 68911876, 189488441, 66011694, 13104997, 58672491, 149743218, 71561743, 7953930, 316188033, 17555255, 34438843, 129633047, 67476139, 194374939, 78707398, 109867694, 14470948, 39011870, 20795764 ], [ 14107149, 37049060, 91521943, 52262630, 136245013, 19122126, 98350183, 41655514, 119218474, 56281284, 38036421, 34518685, 140851848, 42278554, 85724677, 63008251, 18518610, 148363555, 51287163, 12230160, 12504639, 12478191, 3915686, 48181384, 8151623, 43176167, 7868675, 44561754, 15008200, 21147669, 108267654, 70712698, 13192576, 19177188, 7603521, 107832548, 27252679, 94981046, 44363295, 48807174, 112270271, 39668587, 34362516, 744442, 87376626, 134458487, 218939966, 124994686, 60233218, 88437415, 26014536, 76902586, 12789386, 63270843, 98129014, 49435904, 18585813, 6045037, 29545950, 14786749, 64474081, 49707186, 29661396, 7969807, 32124798, 178345831, 77986125, 250851620, 50326426, 11128502, 27757256, 104722467, 99679916, 12467909, 146791791, 144098951, 39107390, 74305015, 52479638, 26225179, 105180068, 150882617, 23248984, 45077948, 42126297, 46440130, 35069163, 65859679, 52984891, 55513661, 28854300, 12739979, 167760294, 19222845, 131320178, 5229812, 29930575, 6371671, 26411500, 32328827, 40915217, 219387381, 48659214, 178227971, 3452385, 10148911, 38484741, 16800593, 106621987, 68911876, 26152720, 178797147, 3314149, 39068603, 146067942, 77874438, 7953930, 415514184, 39902837, 34198124, 47528981, 20750769, 6464083, 88781775, 124491763, 95588817, 39011870, 112378801 ], [ 55107265, 97085922, 42492388, 70998739, 125013236, 63477153, 107598989, 160607, 47429823, 146809552, 24963752, 38819351, 36188612, 82164340, 1886773, 39070086, 98507634, 44778422, 51287163, 56392526, 344377, 53266231, 17237959, 146725858, 5268798, 43176167, 10138301, 75995835, 85673659, 21147669, 216228118, 4276608, 40279073, 108616651, 126871329, 141045829, 15948992, 90589342, 131021875, 133078320, 115989153, 6511714, 49905013, 124972417, 141293504, 52850723, 46963576, 33182577, 34932760, 78224680, 27794976, 392006163, 77668823, 211551143, 74241463, 374110699, 3093796, 36256791, 14648640, 279690392, 116543343, 48287149, 38504136, 47980771, 25872681, 213830117, 21391944, 59004146, 21700668, 11128502, 22704879, 96367580, 43998752, 47952894, 20588532, 129627207, 142157452, 4232416, 95255415, 108979105, 167529509, 46523739, 24766906, 140116245, 487138584, 23974405, 127116339, 96442218, 109984358, 95499490, 25901517, 114032897, 435723171, 19222845, 64139079, 65146730, 7265352, 9458164, 230720224, 14989155, 62151413, 248651556, 20782256, 25231044, 105451532, 36643396, 160122026, 58570577, 35164341, 127411326, 131121480, 66011694, 34900327, 15844133, 88138403, 13264129, 14187457, 2726960, 65373577, 118754640, 50958776, 76350134, 41545619, 78707398, 208043842, 160648199, 33121385, 88366879 ], [ 42387645, 64577618, 10590528, 134749845, 34121180, 19122126, 142527446, 167290613, 47429823, 17351299, 11836062, 74243328, 753748, 175233695, 66951889, 52536608, 148249129, 57872480, 51287163, 138673085, 7083997, 1355585, 198003482, 16439853, 7184443, 43176167, 112154688, 39720231, 85673659, 21147669, 90105736, 30479417, 75644934, 120120523, 51134334, 17590278, 98999415, 284250558, 65946066, 18721794, 11142073, 152823399, 17055804, 124972417, 3020218, 241013900, 30111809, 124994686, 68677309, 105772853, 26014536, 15280266, 41077360, 62341302, 115547, 86751626, 62931609, 6044690, 11163758, 161695265, 319875367, 15765424, 104240895, 7969807, 28367226, 107931888, 1076555, 423792302, 272430614, 11128502, 468258029, 104722467, 147884076, 20330484, 57061741, 41768460, 61207548, 71844519, 13613715, 26225179, 78255223, 101839902, 24766906, 140092773, 102430747, 23974405, 9650165, 213289210, 11642142, 73828439, 216312730, 13331112, 27166168, 19222845, 101545627, 67027041, 19965272, 3618757, 65795867, 139996173, 131015857, 79870237, 64410245, 132324476, 165357810, 104883979, 77177965, 185295986, 35164341, 254881093, 257034444, 186225306, 25251169, 32124993, 154271474, 190512944, 14187457, 72702614, 19888394, 202474566, 146416411, 67476139, 42882095, 78707398, 136348263, 166270172, 46559325, 146076157 ], [ 24568957, 9676401, 13184479, 36703392, 136245013, 7829423, 60053269, 56733971, 28628523, 146809552, 22697464, 62195346, 3373001, 97544519, 239835454, 181437733, 259690407, 57872480, 29159332, 128972561, 259296978, 1355585, 54507159, 34088334, 84304687, 82412900, 2806988, 21223513, 4139590, 306351535, 182484876, 247786119, 130629805, 227915236, 9919743, 72488334, 90231788, 320441286, 30151807, 101321538, 24602149, 10259202, 49905013, 23274140, 21358867, 72681927, 566814139, 5528881, 119249522, 47044965, 26014536, 87331021, 51243350, 24508359, 98129014, 258570288, 22877542, 6045037, 11163758, 99788052, 315723201, 39902596, 53978445, 7969807, 189214701, 152204219, 1076555, 20876282, 182225634, 11128502, 151575764, 104722467, 69686878, 60270550, 20652616, 42574292, 100297601, 34125965, 52479638, 19249411, 70737589, 67353118, 56603188, 269466854, 102430747, 23136344, 59978117, 143590005, 48669013, 73828439, 89650984, 7492623, 285692853, 40655153, 182533447, 75897377, 113461032, 43573138, 34258158, 321143, 101731487, 55152247, 62834793, 28666453, 182367890, 117070007, 36849268, 201377372, 108859885, 127805724, 218612728, 152283894, 16827109, 12842555, 480523733, 77874438, 14187457, 2726960, 146705618, 7574241, 62045548, 93505240, 27074101, 39724630, 76355897, 1832243, 54663602, 18338483 ], [ 42387645, 56680051, 113505080, 70998739, 119583545, 19122126, 8470723, 182164366, 35967187, 53988238, 192743883, 1616244, 36215678, 59370111, 110703301, 21736456, 9235168, 57872480, 51287163, 56392526, 344377, 1355585, 54507159, 34088334, 1830157, 161545835, 6055446, 8874972, 5083551, 28493796, 17851763, 17945446, 130629805, 37535091, 8007838, 8009343, 38584823, 314969628, 63448095, 194479144, 147021612, 108270510, 49905013, 1669215, 54807828, 79799665, 7166190, 82196489, 43781711, 100418557, 26014536, 38680821, 96353757, 129419117, 7516037, 28456575, 779984, 6045037, 14648640, 16330527, 64124675, 18840249, 15120990, 7969807, 25872681, 147232909, 1076555, 121142618, 36603489, 11128502, 22704879, 73698525, 43998752, 87181180, 144697420, 9022882, 98322923, 4232416, 6467732, 7348929, 74591478, 10158467, 296710329, 59032172, 32908317, 23136344, 52211067, 65261005, 85715657, 73828439, 119485024, 39502669, 25832841, 19222845, 107146911, 5229812, 296688, 43573138, 11388673, 1955502, 2278521, 31481391, 12279330, 19577293, 38398293, 67723193, 12047128, 224010811, 18376199, 94194490, 45485088, 16051513, 1250663, 67232176, 88138403, 26406378, 14187457, 2726960, 39902837, 118754640, 20933357, 67476139, 17832662, 4241466, 24298174, 83112910, 34998719, 13918010 ], [ 192298432, 18040510, 43139594, 130276221, 83370264, 19122126, 37907051, 34842381, 74851581, 81188546, 21448940, 17470031, 71615469, 82164340, 239835454, 71167525, 74500596, 148363555, 51287163, 56392526, 344377, 369620273, 86751327, 9061966, 26435480, 565314205, 2806988, 21223513, 85673659, 306351535, 32318278, 229981626, 18657704, 359087887, 9919743, 107832548, 363853877, 239510771, 58347541, 329838783, 158735679, 179412509, 98787651, 300003032, 56170002, 134651010, 84757146, 145062040, 110097406, 223094416, 26014536, 87331021, 146891809, 129483384, 151235634, 34775875, 194631562, 6045037, 14648640, 15659086, 116543343, 42045524, 53978445, 7969807, 77097147, 42677988, 47996059, 121142618, 14948123, 116942497, 22704879, 57629013, 43998752, 272946127, 144697420, 277775055, 265719819, 182438260, 52479638, 198941713, 14601617, 341375847, 42215109, 313420933, 43871129, 23136344, 346554452, 186760790, 223189329, 73828439, 119485024, 7492623, 80374169, 19222845, 77420654, 5229812, 26063013, 159387272, 120942694, 108053240, 27757556, 15201803, 20782256, 88710090, 35540671, 84721915, 74355201, 219991882, 35164341, 94194490, 291207318, 66011694, 108559968, 194919342, 423262703, 148825549, 14187457, 120060659, 17555255, 34438843, 50958776, 277962867, 87110961, 78707398, 11770568, 1880463, 194455763, 13783201 ], [ 14107149, 2248874, 20551867, 73188602, 33277103, 7829423, 81207248, 18605940, 31816588, 77985592, 939089, 7556272, 41062170, 10221460, 36592941, 56751399, 18518610, 57872480, 36161704, 12230160, 29356258, 1355585, 49474096, 38576199, 7184443, 47168326, 2806988, 21223513, 4139590, 9811063, 71489327, 48525486, 13192576, 19490018, 9919743, 100200947, 48222143, 125350875, 30624970, 33634949, 78016063, 124550739, 50872488, 62235674, 134056623, 5564078, 36891943, 11190101, 84387194, 5828650, 26014536, 38680821, 12789386, 52772735, 34352668, 13802806, 55492492, 6045037, 14648640, 51757220, 64124675, 49707186, 33395442, 7969807, 84303833, 25610046, 1076555, 313465, 50326426, 11128502, 27757256, 56541771, 21019847, 9081269, 33384915, 28364330, 18171872, 84931424, 10845223, 19249411, 72730439, 42991038, 24766906, 23507974, 8841244, 7244825, 35069163, 34969278, 25634552, 11347502, 28854300, 7492623, 8702321, 1827306, 15727200, 5232805, 1414108, 15323433, 10138958, 107343912, 150139075, 6227883, 64410245, 113836291, 21650078, 5937249, 2331077, 18029310, 32211393, 1468227, 26152720, 17000017, 3314149, 31420260, 27163604, 46186792, 9883363, 8652943, 12300638, 83135938, 130207603, 16230678, 6464083, 4241466, 8665273, 95588817, 35045110, 41313697 ], [ 5468845, 12894024, 21464014, 96597209, 125013236, 7829423, 81223123, 57378568, 31816588, 77985592, 151853792, 55136879, 4691642, 178444147, 171103628, 21736456, 68076701, 57872480, 63583651, 138673085, 29984501, 1355585, 27542228, 34088334, 83220892, 19474705, 2806988, 21223513, 4139590, 9811063, 92691441, 48525486, 28190702, 84511049, 19824095, 15893949, 85660278, 904925, 85749939, 94668052, 35609623, 14261, 49905013, 107806842, 22732079, 9901299, 17429274, 18467204, 28791263, 46392232, 26014536, 72247099, 10411787, 49755262, 46953163, 13802806, 75648262, 6044690, 11163758, 28456691, 61606123, 56202485, 33395442, 7969807, 1958271, 137077539, 1076555, 12512447, 236042676, 11128502, 84929942, 17972501, 26179740, 60270550, 20588532, 94449962, 22311697, 25369199, 36187991, 11409806, 25257053, 11841208, 24766906, 331726517, 75852891, 23136344, 21296331, 104721923, 128817541, 73828439, 66673514, 48008163, 20077500, 19222845, 15727200, 5229812, 37119810, 43573138, 90706319, 95758295, 111484488, 22447868, 22173503, 114835017, 100601120, 2904225, 56186156, 21571738, 35164341, 94194490, 21326804, 343266208, 19988451, 38854668, 11146030, 77874438, 14187457, 43063736, 24346444, 83135938, 7805551, 44399610, 4699304, 78707398, 62547840, 136197971, 54663602, 81159617 ], [ 6925873, 13262061, 91521943, 27899268, 136245013, 88259316, 108092179, 10728620, 47429823, 37641298, 11836062, 74243328, 71615469, 39175709, 50053741, 256542786, 35635354, 28824799, 34182927, 21794351, 217159954, 32090228, 50699483, 16439853, 32404941, 47168326, 58205030, 39720231, 25803684, 21147669, 48350740, 1452202, 130629805, 86439671, 9919743, 18914570, 140274632, 94696810, 17640610, 37153598, 12800315, 74514401, 87086396, 124972417, 18086601, 11684360, 46963576, 98960917, 146313661, 85786520, 77931669, 72386568, 45328380, 36294246, 22355343, 1412609, 69399563, 77578767, 190854604, 78989543, 14068904, 163526627, 166247101, 29729804, 180005608, 19065419, 69275328, 3498867, 136008579, 11128502, 94932526, 3453250, 73522015, 67507534, 130260023, 146629205, 142157452, 36564773, 19353368, 72333459, 76332171, 75580403, 24766906, 25887271, 9256024, 23136344, 26321502, 143590005, 36523646, 73828439, 43799554, 7492623, 77572742, 471631, 60854711, 75897377, 47946239, 43573138, 35965699, 148252258, 358682, 98509620, 41078699, 120276192, 108013928, 10148911, 86169072, 18029310, 122719650, 20602581, 26152720, 79449101, 3314149, 61175496, 23536374, 39529471, 41193501, 85766347, 68988319, 22717768, 32182005, 9601057, 82627888, 114554336, 56362769, 95588817, 52134026, 38931794 ], [ 41148238, 13262061, 40672129, 51594079, 136245013, 19122126, 104179106, 10728620, 47429823, 234191966, 11836062, 28429720, 71615469, 97544519, 20968951, 239229348, 35635354, 127369020, 110017960, 117408930, 13003940, 32090228, 3915686, 16439853, 13014430, 47168326, 1423423, 39720231, 30777542, 9811063, 90105736, 8067203, 18304699, 19490018, 9919743, 18914570, 31600162, 63631160, 23580742, 36700884, 12800315, 74514401, 98787651, 41882169, 18086601, 10914927, 3890878, 28538266, 34271803, 33280560, 26014536, 10030682, 95475318, 163990181, 74241463, 13802806, 62455482, 6045037, 37915917, 99788052, 84103230, 51921857, 142106447, 7969807, 77097147, 11719307, 46336715, 20876282, 94420609, 11128502, 58691418, 89081474, 2845033, 12467909, 6852133, 24883461, 102379820, 7094779, 52479638, 88889098, 76332171, 19213264, 24766906, 105706965, 94396060, 23136344, 12729630, 89511391, 16187715, 73828439, 1357031, 7492623, 48482378, 19222845, 25784813, 5229812, 26063013, 43573138, 120942694, 90224437, 122118105, 22447868, 64410245, 44385067, 139372183, 14180180, 89766018, 18029310, 60066507, 39156272, 26152720, 75624451, 3314149, 194734734, 14399733, 11926867, 123359600, 4956964, 1231057, 34438843, 28313640, 109604538, 6464083, 62343458, 82142274, 19034114, 78457530, 10384455 ], [ 174162059, 83328899, 113505080, 157120283, 136245013, 6361937, 81223123, 202514722, 11085454, 314453549, 42493755, 28429720, 162302188, 228759286, 49382248, 3101565, 35635354, 148363555, 51287163, 23242567, 29984501, 32090228, 52726157, 34088334, 212401296, 43176167, 10281903, 316407020, 4139590, 147417639, 123854033, 152233064, 47875598, 91141172, 19352756, 137317174, 87877837, 12448949, 54258616, 124245520, 154258459, 149196458, 2792772, 124972417, 217768444, 6648083, 92102862, 5528881, 65061345, 60223950, 26014536, 72247099, 51243350, 28922729, 97206970, 61359862, 75770217, 45064253, 11163758, 77820875, 416883383, 126087194, 33395442, 48164330, 32988200, 30361171, 32070630, 12512447, 213921576, 11128502, 307954719, 48795779, 300392259, 60270550, 33384915, 116247650, 60974175, 83060934, 95255415, 1081391, 49030490, 124685046, 103800004, 140116245, 94396060, 23136344, 192082432, 134674203, 36523646, 6139209, 1357031, 222310276, 23401976, 19222845, 15727200, 104997302, 47946239, 43573138, 169212428, 3962925, 230459702, 9498304, 22173503, 33373381, 69382357, 4696912, 146392488, 18029310, 35164341, 208282623, 26152720, 16746158, 3314149, 129592836, 54283146, 69421931, 14187457, 92925563, 166439203, 22717768, 7805551, 46066552, 116934010, 78707398, 124456633, 95588817, 54663602, 82023210 ], [ 55107265, 30442067, 43139594, 332296465, 136245013, 28629591, 81223123, 49006875, 13085004, 314453549, 32186699, 38819351, 71615469, 47432504, 1886773, 21736456, 35635354, 3550735, 51287163, 21794351, 29984501, 83754180, 54507159, 34088334, 31189784, 117016792, 9823384, 46274253, 4139590, 9811063, 32318278, 4276608, 116619762, 86439671, 9919743, 6019223, 31600162, 94696810, 58347541, 12252368, 11142073, 124550739, 84011763, 24447404, 43315900, 10914927, 3930351, 177545, 116687584, 78224680, 26014536, 87331021, 45328380, 53728604, 17366602, 13802806, 55492492, 6044690, 32937631, 46693851, 86370770, 118110339, 33395442, 14707594, 28367226, 119858516, 107754139, 20876282, 58456141, 11128502, 47738403, 96378912, 26179740, 43437464, 102316591, 150346844, 110310418, 63193423, 82588201, 19249411, 147557426, 42444336, 12912575, 85106042, 228060825, 18626228, 26321502, 108754104, 36523646, 73828439, 25901517, 7492623, 58111072, 21843462, 62289908, 5229812, 47946239, 43573138, 65535371, 107067761, 244805309, 22447868, 37542637, 25339270, 108013928, 10148911, 102658799, 17105419, 35164341, 63829230, 31533926, 66045757, 82441318, 15844133, 54283146, 13721683, 35722298, 2495452, 24346444, 1053920, 43942944, 46066552, 919956, 78707398, 11770568, 59241342, 33560528, 63341827 ], [ 91375704, 9371803, 74388759, 22543064, 90407784, 7829423, 11334436, 10728620, 31816588, 160907116, 30421189, 74243328, 45110786, 100781984, 55628023, 24581982, 11167650, 5078803, 2898306, 67435443, 61536115, 41601143, 52292132, 10716708, 23371248, 34039240, 17558543, 2430683, 4139590, 21147669, 182484876, 7449028, 44382301, 18070190, 37509019, 35419615, 59625208, 57957112, 16569881, 36700884, 11142073, 39668587, 29588573, 105767801, 39853586, 10151165, 46963576, 145062040, 58953941, 75083965, 32667392, 87331021, 39673329, 49755262, 19360243, 10654555, 28820189, 38976717, 11163758, 7082240, 33028130, 75283442, 57834581, 23556993, 32988200, 78839283, 70439477, 20876282, 6005507, 11128502, 62886761, 267272217, 2585693, 12467909, 2393894, 116247650, 39663821, 138757696, 9026707, 19249411, 41445570, 28654178, 3761019, 111303861, 138311514, 23136344, 107412209, 69923186, 52984891, 12571273, 28854300, 13115415, 23401976, 19222845, 24516914, 5229812, 29930575, 3374612, 5287165, 28434005, 135710719, 21601037, 22173503, 134076479, 165357810, 74971222, 102658799, 93866529, 20953012, 63829230, 43644912, 18245555, 93898343, 33152929, 46888135, 68740270, 63583366, 115339537, 39902837, 31463377, 7805551, 46066552, 6464083, 78707398, 15036074, 13120, 33579362, 11203164 ], [ 82816544, 13262061, 91521943, 7150769, 12890366, 7829423, 15454074, 10728620, 11338106, 16677736, 11836062, 74243328, 61872393, 61896739, 60931390, 34960086, 35635354, 184519367, 223734426, 174757014, 42850480, 58982039, 54507159, 16439853, 15072477, 47168326, 70439458, 39720231, 19995754, 9811063, 17570951, 48525486, 47945120, 91141172, 22427269, 18914570, 140274632, 89144543, 23580742, 64448995, 17170092, 17280545, 90192887, 14539178, 85409986, 90281729, 15790284, 110362596, 170344726, 10675237, 34820091, 87331021, 6903960, 112735917, 74241463, 13802806, 179471924, 126129628, 149323036, 31897130, 100001636, 91164240, 105140044, 6921616, 32988200, 137077539, 118868889, 79939435, 57935696, 11128502, 3837077, 178537767, 26179740, 35816350, 45127163, 14571056, 142157452, 91256681, 50338537, 26225179, 20511731, 35924575, 24766906, 45077948, 37309854, 23136344, 9650165, 34969278, 36523646, 73828439, 3848594, 125731858, 8702321, 19222845, 31335309, 5229812, 27941527, 15323433, 42073316, 48492635, 135710719, 22447868, 60679527, 6052891, 39990073, 35033547, 9964460, 43313435, 35164341, 7559602, 14870913, 75624451, 54892131, 13069568, 12780855, 68740270, 123359600, 9219250, 24346444, 22717768, 2231672, 46066552, 119669439, 27607506, 81256842, 49757387, 39011870, 8385885 ], [ 669828, 25627318, 27156500, 74511019, 53044868, 63477153, 128875637, 41396172, 110370818, 306393844, 11836062, 74243328, 37973525, 51845718, 1886773, 76562579, 18518610, 65306822, 21654249, 42877873, 149509108, 46042705, 54507159, 5971639, 8151623, 82412900, 16674892, 37477818, 4139590, 11209743, 32318278, 11712567, 28190702, 91141172, 33118711, 107832548, 47419176, 52916695, 58347541, 120722159, 188043164, 39668587, 25489529, 53333722, 39853586, 10151165, 96064311, 33182577, 27658597, 85786520, 26014536, 30636594, 12789386, 49755262, 27890588, 24879406, 16568370, 57345974, 39065278, 46693851, 144405045, 163526627, 69874276, 4081438, 32988200, 25610046, 77986125, 45165563, 50326426, 11128502, 62890621, 234728612, 2585693, 31690855, 45127163, 17465908, 155820961, 135066702, 58722315, 19249411, 262056650, 19213264, 12441711, 140116245, 11393496, 23136344, 31450107, 143590005, 36523646, 73828439, 120778936, 222310276, 23401976, 19222845, 25784813, 5229812, 47946239, 14280183, 69736165, 32328827, 16393146, 18668538, 22173503, 166122468, 100601120, 2904225, 126510815, 165664952, 20865094, 94194490, 31533926, 18245555, 34900327, 75222315, 54283146, 68740270, 14935790, 373464588, 39902837, 806488, 7805551, 46066552, 17832662, 78707398, 136348263, 129687135, 54663602, 3422830 ], [ 14107149, 97085922, 40672129, 157120283, 86909672, 125864469, 69487395, 10728620, 8977093, 53508313, 16654773, 74243328, 196490519, 117679936, 19459043, 51959001, 35635354, 10089174, 58052655, 45373268, 169584607, 171549254, 50699483, 92954559, 142821452, 43176167, 70439458, 71426055, 14322792, 9811063, 29994925, 17844472, 33744510, 187451739, 209168623, 107832548, 28206469, 39566957, 23580742, 64448995, 108687630, 74514401, 114412716, 124972417, 99130316, 181581527, 24667323, 124994686, 27658597, 69312237, 158422726, 10030682, 6903960, 63270843, 62202479, 13802806, 103045746, 80450520, 75391037, 129046407, 192823254, 49707186, 166247101, 4081438, 32479427, 137077539, 77986125, 130660845, 105462928, 11128502, 127216809, 220884734, 26179740, 272079305, 45127163, 157861051, 142157452, 153382927, 110496977, 108979105, 212200573, 19213264, 24766906, 45077948, 70291863, 70185584, 170647244, 141490397, 61788003, 73828439, 103900077, 141091382, 48482378, 19222845, 24516914, 5229812, 29930575, 43573138, 6179357, 165188381, 135710719, 22447868, 64410245, 132992065, 66837813, 150049881, 85449438, 43313435, 35164341, 81377413, 94127146, 122646223, 8347748, 61175496, 12780855, 68740270, 157037528, 9219250, 24346444, 34438843, 193543001, 277962867, 119669439, 78707398, 100424725, 121744304, 39011870, 8385885 ], [ 42188445, 25627318, 1161413, 76633906, 90407784, 7829423, 9664935, 10728620, 40923850, 71013518, 151853792, 28429720, 24388200, 63714770, 20968951, 51959001, 35635354, 58008113, 29159332, 97432173, 25353083, 46042705, 54507159, 34088334, 32404941, 9108768, 14331895, 9297054, 4139590, 9811063, 32318278, 9752379, 130629805, 11538469, 9919743, 107832548, 14392426, 130448927, 9985536, 37153598, 11142073, 10259202, 49905013, 53333722, 155067066, 34717534, 22487531, 54676401, 109279682, 950965, 26014536, 38680821, 45328380, 49206704, 62202479, 10654555, 75648262, 6044690, 14648640, 40680177, 17639151, 78041800, 33395442, 48164330, 28367226, 4770883, 40681939, 85005669, 58181501, 11128502, 45741989, 12504994, 16268261, 30813733, 18016334, 9022882, 39663821, 168663839, 52221027, 19249411, 153159701, 28654178, 14834384, 29762246, 32908317, 23136344, 107412209, 104721923, 52984891, 45315856, 1357031, 7492623, 48482378, 19222845, 103334957, 5229812, 26063013, 43573138, 86882767, 8258553, 135710719, 15764238, 42410573, 132992065, 33790723, 10148911, 30097089, 43313435, 35164341, 39156272, 26595740, 121990789, 17980645, 3457816, 147202573, 12788432, 14187457, 9219250, 11976082, 7574241, 10094996, 67476139, 48791520, 3053059, 132278925, 18615545, 30919033, 82023210 ], [ 142708524, 36539407, 44621595, 74294844, 88741479, 7829423, 60053269, 81325654, 38287591, 28696083, 30421189, 69354034, 71615469, 42278554, 170509025, 99276456, 35635354, 230554863, 67636306, 22696440, 57071156, 204617165, 41796310, 34088334, 21710163, 20503570, 16674892, 9297054, 4139590, 9811063, 32318278, 30197428, 13192576, 11538469, 9919743, 100200947, 1904082, 12448949, 16569881, 36700884, 80414735, 43325975, 98787651, 124972417, 6999984, 10914927, 96597292, 5528881, 69303894, 54615929, 81433197, 41794546, 51243350, 21139736, 31458084, 13802806, 22877542, 34117004, 11163758, 22211458, 295629007, 387779, 79619064, 19368259, 32988200, 14704690, 100139302, 24440181, 6005507, 1618869, 45741989, 107498003, 26179740, 4832911, 45127163, 9022882, 44553678, 177461324, 72262860, 19249411, 41445570, 10158467, 3450763, 181073673, 228060825, 4130135, 42129310, 143590005, 36523646, 54162744, 66873785, 7492623, 8080426, 19222845, 69983407, 5229812, 62058692, 34104171, 61738332, 170678808, 16091772, 22447868, 18758854, 28666453, 165357810, 30441055, 14861593, 43313435, 35164341, 94194490, 31533926, 152283894, 5607648, 42449850, 135690981, 1778507, 11088054, 9219250, 24346444, 22717768, 40479672, 18566907, 17832662, 32441151, 124456633, 18615545, 20784567, 85240760 ], [ 174162059, 13342962, 29768886, 7150769, 70390093, 40884772, 81223123, 281574122, 248123826, 312705167, 119367130, 5722016, 71615469, 216851006, 50053741, 19976810, 35635354, 50208565, 96589875, 131129715, 29984501, 83754180, 49929162, 39350386, 32404941, 117016792, 16674892, 31043805, 85673659, 21147669, 32318278, 73925885, 116619762, 16103154, 3490944, 107832548, 1845578, 177826395, 58347541, 80415472, 167958703, 13424672, 98787651, 14539178, 239972320, 181581527, 10390315, 160414707, 84387194, 18469628, 26014536, 87331021, 45328380, 66224692, 98129014, 24879406, 24442330, 164215030, 29545950, 33823205, 386062655, 96510512, 33395442, 173936168, 32988200, 138530312, 100139302, 45165563, 6005507, 11128502, 47738403, 115550342, 73522015, 18583904, 45127163, 137192677, 1375471, 153382927, 72262860, 7071017, 41445570, 99339, 61363746, 25887271, 42126297, 89128130, 77714243, 143590005, 112453422, 45315856, 193157942, 7492623, 48482378, 19222845, 60854711, 5229812, 47946239, 43573138, 137496705, 68055126, 135710719, 107140854, 53806064, 166122468, 19451382, 4327419, 46887196, 145603465, 35164341, 61382297, 168782422, 152283894, 108892514, 194919342, 50989091, 40457437, 121220552, 120037722, 39902837, 34438843, 282817243, 14474442, 39545484, 42732139, 27533801, 166270172, 39011870, 158189237 ], [ 104428133, 86128124, 91521943, 285244772, 125013236, 125864469, 3430408, 109776646, 9830850, 71013518, 11836062, 17470031, 34019496, 408152532, 208835143, 34146926, 35635354, 12212582, 14047312, 174757014, 58015787, 83754180, 54507159, 16439853, 32404941, 47168326, 70439458, 39720231, 67213595, 21147669, 202121714, 48525486, 33744510, 86439671, 209660398, 386199, 119544985, 90589342, 26662702, 64448995, 188043164, 128252841, 49905013, 23365990, 85409986, 10151165, 2739906, 142902414, 212705378, 56346379, 91367420, 87331021, 6903960, 21778984, 47292486, 122424808, 17628513, 36590580, 137106750, 129046407, 63621519, 42002242, 105140044, 64196688, 77097147, 453041309, 15665421, 79939435, 200834672, 100309519, 127216809, 28228757, 151984242, 121067960, 9909388, 216266141, 142157452, 46005280, 51410817, 7071017, 212200573, 99339, 24766906, 45077948, 48897944, 169104979, 9650165, 61932974, 16099642, 73828439, 269047756, 114032897, 23401976, 19222845, 25784813, 5229812, 47946239, 43573138, 107376721, 154212963, 135710719, 38194820, 22173503, 31293956, 51603924, 10148911, 9755287, 185295986, 35164341, 35819314, 111978330, 88436661, 115946722, 190158998, 12780855, 68740270, 124573164, 10451778, 39902837, 12354868, 7805551, 40205094, 919956, 39389127, 120136023, 13483105, 39011870, 141594469 ], [ 24568957, 13262061, 80216113, 367284122, 64758309, 7829423, 108760695, 10728620, 31816588, 77985592, 37051406, 50368910, 71615469, 197170623, 256275803, 34146926, 35635354, 29437317, 23948701, 12230160, 97304613, 32090228, 54507159, 39350386, 34078856, 47168326, 89523395, 25215981, 4139590, 21147669, 147213052, 23112713, 33588870, 19490018, 9919743, 187158561, 24851915, 39566957, 9985536, 36161780, 11142073, 19994467, 98787651, 43944279, 18086601, 10151165, 46963576, 28538266, 14820136, 56346379, 114344829, 43669082, 31024540, 49755262, 74241463, 12221867, 45905306, 36590580, 68601867, 78989543, 261680278, 24643627, 105140044, 12293544, 2663878, 4770883, 28258023, 20876282, 94420609, 11128502, 94932526, 49008291, 31227749, 12467909, 45127163, 116247650, 110310418, 79806824, 46770323, 3156191, 197633367, 99339, 3761019, 54531864, 75852891, 107261772, 56803880, 143590005, 172345165, 73828439, 28854300, 7492623, 23401976, 19222845, 88927396, 70606203, 26063013, 43573138, 84531430, 76414859, 135710719, 293235042, 22173503, 50019746, 76955315, 27528998, 14861593, 18029310, 26894823, 170075653, 26152720, 65918568, 3314149, 55223010, 54319762, 1778507, 56487388, 9219250, 146705618, 83135938, 7805551, 18566907, 919956, 39389127, 49228894, 44785241, 54663602, 120635486 ], [ 1420552, 21193002, 91521943, 51594079, 90407784, 55421011, 81223123, 10728620, 47429823, 109579431, 102516458, 74243328, 41594950, 13920403, 66151199, 51959001, 7619152, 111391013, 365350951, 68026999, 29984501, 418179, 54507159, 16439853, 14533353, 47168326, 89523395, 46274253, 1777641, 21147669, 43789112, 17945446, 130629805, 11538469, 137016606, 18914570, 48222143, 167833596, 23580742, 101422860, 188043164, 39668587, 114412716, 1004199, 7150152, 57930801, 3890878, 52133253, 7675613, 47207556, 8112671, 10824101, 6903960, 52880642, 62202479, 86751626, 35537402, 63465833, 117186384, 28456691, 64124675, 66703717, 33395442, 248877465, 758187, 10340495, 110304335, 20876282, 8749735, 11128502, 45741989, 56259894, 20721119, 12467909, 45127163, 41768460, 142157452, 11807115, 50133139, 108979105, 76332171, 23948815, 24766906, 20985205, 26850711, 22740229, 105022689, 65261005, 6355826, 73828439, 28854300, 107097353, 26692664, 17952861, 29517838, 5232805, 50033410, 43573138, 38725004, 32328827, 96530392, 79870237, 48659214, 15381447, 37761538, 30180049, 200902392, 7056005, 90583631, 39156272, 31533926, 86332701, 34900327, 81530612, 12780855, 68740270, 123359600, 101842557, 63443576, 22717768, 126762700, 67476139, 6464083, 46661621, 26256355, 114429649, 34395922, 134779532 ], [ 94302764, 97085922, 40672129, 199032314, 65742121, 7829423, 81223123, 198981421, 207757476, 157289073, 151853792, 74243328, 71615469, 277335885, 220839074, 477406369, 103679182, 110840461, 51287163, 138673085, 29984501, 173380035, 40709355, 34088334, 17460167, 49808710, 31890808, 118698551, 85673659, 21147669, 145809542, 70712698, 130629805, 19490018, 9919743, 117957690, 277657016, 189288973, 562100, 141273792, 85422202, 88488696, 88954935, 124972417, 182274224, 181581527, 166347001, 78751977, 96196707, 8686019, 26014536, 10030682, 33490885, 574393755, 17366602, 159697456, 75770217, 6045037, 37915917, 279690392, 131770359, 163526627, 33395442, 7969807, 189214701, 23458859, 16974476, 12512447, 94420609, 11128502, 236148044, 104722467, 103916231, 12467909, 33384915, 91358721, 30323261, 48282652, 52479638, 120660855, 257315460, 341375847, 76929319, 17249877, 179762713, 23136344, 283239409, 143590005, 31510410, 138806871, 28854300, 7492623, 303988846, 19222845, 5265146, 20065544, 242640728, 43573138, 44525279, 23493035, 60829741, 218835269, 64410245, 239834491, 16403774, 60881301, 28789537, 21571738, 35164341, 12555693, 194796424, 152283894, 54930790, 259420844, 15882741, 77874438, 5767030, 83624674, 162226585, 94962878, 201468841, 468378216, 5579813, 78707398, 168282521, 499851953, 64737594, 28598678 ], [ 35045781, 91208041, 40672129, 22700031, 136245013, 7829423, 81223123, 154124659, 65730728, 13635791, 12138930, 74243328, 36188612, 82164340, 34661090, 105822610, 67553957, 148363555, 51287163, 60783830, 8048060, 173380035, 44698635, 34088334, 17460167, 73122796, 10138301, 46274253, 142299650, 156512921, 36342808, 9423297, 40279073, 91141172, 9919743, 107832548, 363853877, 113470639, 52462979, 61987849, 78523311, 127431486, 98787651, 21496166, 182274224, 33912976, 191320393, 5528881, 106526601, 140828493, 26014536, 10030682, 51243350, 67955405, 54048224, 10654555, 3093796, 6045037, 11163758, 279690392, 45147035, 116552131, 5878601, 7969807, 177351577, 6446627, 21391944, 20876282, 60097150, 11128502, 18298946, 96378912, 103916231, 49039324, 186444046, 91358721, 30323261, 22464142, 23137451, 14443278, 70737589, 10158467, 93224471, 14250187, 32908317, 23136344, 60682327, 45723755, 36523646, 18995160, 162552793, 7492623, 69298697, 162827819, 5265146, 5229812, 16537407, 20716534, 44525279, 82379273, 78773030, 70642083, 64410245, 33373381, 16403774, 15201335, 77257505, 55492560, 35164341, 12555693, 26874402, 58765380, 93898343, 102948098, 131090780, 40457437, 5767030, 2726960, 39902837, 22717768, 25785393, 184474737, 35652117, 4241466, 208043842, 22005357, 139401859, 88366879 ], [ 299839842, 97085922, 113505080, 21425807, 125013236, 103244094, 115046075, 112408125, 47429823, 157289073, 151853792, 55136879, 71615469, 31459060, 136634318, 266941040, 98507634, 219829875, 149911674, 183665205, 123579078, 173380035, 48133062, 34088334, 17460167, 3571107, 43509839, 2566108, 36979083, 9811063, 162460658, 144623588, 34099971, 467290656, 9919743, 149559773, 39189116, 90589342, 427059508, 194479144, 24397237, 153799468, 49905013, 124972417, 141293504, 140487831, 46963576, 145062040, 34621639, 412914782, 195036129, 120801518, 246096465, 211551143, 17366602, 13802806, 71248958, 71019915, 14648640, 46854827, 2470016, 163526627, 65798875, 48164330, 745699, 137077539, 107754139, 158584029, 99893449, 11128502, 159051688, 220884734, 26179740, 100434569, 56088204, 91358721, 30323261, 325727645, 95255415, 108979105, 334235957, 156045941, 24766906, 17249877, 107159770, 23136344, 143989921, 143590005, 223189329, 335700561, 162552793, 7492623, 443929535, 108569573, 5265146, 432619003, 29930575, 43573138, 44525279, 313584214, 194089631, 22447868, 64410245, 114835017, 16403774, 198550363, 99340684, 291330493, 35164341, 12555693, 119648467, 152283894, 108892514, 476280087, 131090780, 46921763, 5767030, 193706776, 24346444, 94962878, 222023935, 67476139, 230585078, 78707398, 223595272, 41984020, 86532592, 20795764 ], [ 297616339, 97085922, 83664605, 255197437, 125013236, 753563, 193249652, 281574122, 47429823, 69172837, 190584522, 55136879, 71615469, 307610120, 180966442, 125973940, 98507634, 44778422, 76700144, 129371577, 17088587, 201993571, 54507159, 7251821, 4836413, 43176167, 1774776, 325756812, 4139590, 21147669, 50069238, 94730687, 92606605, 34679624, 9919743, 180270267, 85660278, 90589342, 110155120, 48807174, 188043164, 237366572, 98787651, 744442, 57221722, 181581527, 46963576, 339529536, 238958905, 223778508, 26014536, 87331021, 174860445, 42624056, 74241463, 43587658, 152683164, 80871800, 14648640, 459196424, 32116785, 163526627, 65798875, 48164330, 92444769, 260111860, 131606927, 569843022, 11960713, 11128502, 140177897, 223101679, 433625729, 60270550, 20588532, 49951593, 21526573, 71500726, 95255415, 1081391, 10159229, 10632238, 24766906, 131598524, 371790041, 23974405, 192082432, 134674203, 69036259, 73828439, 269410632, 7492623, 2360987, 140883167, 5265146, 47340757, 9904138, 43573138, 344273270, 30702354, 7067313, 9498304, 64410245, 114835017, 16403774, 4696912, 52774061, 242035244, 19345093, 12555693, 31216632, 152283894, 1250663, 255622433, 27117458, 77874438, 5767030, 137990660, 162226585, 83135938, 222023935, 67476139, 137912400, 353504775, 46907024, 110159101, 4450784, 158189237 ], [ 121536757, 97085922, 24011852, 70998739, 25910147, 1319852, 77529405, 198981421, 146917016, 13666491, 119367130, 74243328, 71615469, 75666424, 57273016, 61419458, 40855158, 139863810, 185549291, 12230160, 8048060, 47264113, 40709355, 34088334, 11976711, 63587188, 21019883, 187546823, 10837950, 21147669, 161814754, 16273457, 108507156, 19490018, 9919743, 22598478, 48222143, 178958065, 38777648, 17437399, 42329900, 47040097, 6715803, 45341313, 37033709, 8738751, 81676722, 82196489, 247830647, 40118035, 26014536, 5974013, 18418166, 67955405, 65220574, 54791462, 16762983, 6045037, 11163758, 57797618, 64124675, 163526627, 5878601, 7969807, 180005608, 25610046, 39547576, 12512447, 10875213, 11128502, 18298946, 62108032, 16511598, 6787830, 2603040, 51136416, 30323261, 24505773, 52479638, 43506522, 24337057, 10859822, 127700190, 14250187, 128009434, 23136344, 75813684, 52192243, 58445660, 29302169, 23272968, 7492623, 33788022, 19153886, 5265146, 5229812, 49803073, 43573138, 34881830, 82379273, 61104428, 98195631, 27030575, 55791014, 16403774, 58838564, 77257505, 21571738, 32211393, 12555693, 15376548, 14097061, 1250663, 61402825, 67308819, 37966319, 4655869, 2726960, 39902837, 44322097, 35926574, 277962867, 6464083, 23017477, 16850490, 58157983, 11884234, 35772956 ], [ 175944186, 65543923, 91521943, 56953221, 12421527, 137298038, 157367015, 117250155, 11338106, 400884581, 21835763, 17237870, 84520594, 37073471, 4413105, 41794532, 13484007, 30524710, 136410397, 138673085, 89229055, 113358189, 19455601, 15086633, 7184443, 43176167, 50778710, 46274253, 85673659, 21147669, 56364034, 17844472, 92420806, 19490018, 68349831, 36446164, 154444328, 90545208, 111586645, 194479144, 37678536, 108205160, 11857120, 116247633, 1309436, 39104029, 97950163, 59332556, 61477754, 85786520, 26014536, 11741199, 90500402, 128477812, 67758310, 37183143, 149928177, 335819050, 75391037, 45847507, 10098227, 764685, 11447161, 74046888, 267071496, 14120028, 110304335, 4267729, 15561913, 11128502, 123867353, 315606938, 104330210, 12467909, 50873295, 34099829, 52492171, 59158499, 38527740, 35217822, 233233563, 51068483, 140677529, 227001527, 52269276, 4804257, 32312309, 97802999, 36523646, 48360465, 28854300, 783986412, 17049686, 3411778, 264493512, 5229812, 197236625, 43573138, 64520074, 118259672, 86608314, 40558765, 39741084, 112236543, 55457235, 136609650, 85355309, 238510339, 115207155, 66116045, 31533926, 15658937, 123320163, 54058096, 126226810, 77874438, 90797639, 128274957, 39902837, 22717768, 161720939, 37227739, 6464083, 226294482, 95942061, 147899428, 100861008, 6315096 ], [ 155654907, 39090429, 9024081, 36703392, 47287515, 256402148, 157367015, 54535828, 11338106, 96170698, 19321600, 67943463, 8799657, 29888653, 110703301, 189663752, 148249129, 81048005, 54501019, 19111562, 36346274, 99561417, 54507159, 27454299, 84389921, 43176167, 8025753, 100303565, 4139590, 21147669, 43532684, 70712698, 66123117, 19490018, 9919743, 138129584, 85660278, 146084899, 71927995, 29478518, 53670039, 124550739, 98787651, 77091778, 133202078, 120906181, 90365535, 129919605, 28791263, 85786520, 184547123, 37443353, 74853183, 21139736, 27352071, 28456575, 26847428, 7865970, 14648640, 40026291, 187409254, 89376355, 77937664, 48164330, 340498105, 141502292, 55101463, 116873020, 5653064, 11128502, 140177897, 89761160, 104330210, 12467909, 20588532, 385415131, 87797345, 31532024, 44841138, 19249411, 126306295, 51068483, 5999447, 140116245, 32908317, 23136344, 165915434, 15301898, 58440571, 73828439, 28854300, 7492623, 112610509, 19222845, 45633377, 105752443, 110408707, 43573138, 70365403, 9350717, 72454346, 15546031, 39741084, 112236543, 86443520, 76019322, 62789107, 43313435, 7958284, 190974156, 31533926, 145298603, 32267617, 21384036, 237297449, 77874438, 14187457, 9219250, 162226585, 83135938, 93946636, 54314133, 6464083, 4241466, 76355897, 91796273, 54663602, 8385885 ], [ 5468845, 8586932, 21464014, 129906827, 8508362, 7829423, 1513940, 34815684, 11338106, 43240855, 10278007, 39312800, 8799657, 50091355, 61860283, 205070619, 23745391, 132388419, 18630610, 12230160, 29984501, 83754180, 15394990, 13165614, 32404941, 43176167, 50778710, 8874972, 4139590, 9811063, 144240955, 9423297, 63404401, 19490018, 9919743, 22598478, 15948992, 101413631, 86999431, 5580496, 52313730, 92862550, 11857120, 52687771, 39650858, 45054839, 21595824, 56596407, 89261922, 75118583, 26014536, 53575456, 11471271, 28863318, 47110452, 13802806, 1260927, 4032109, 11163758, 16330527, 66163271, 55348376, 33395442, 47980771, 35286264, 137077539, 10930615, 43609955, 26803841, 11128502, 184018, 61897468, 26179740, 12467909, 55101405, 38305625, 247654161, 10226322, 24397799, 19249411, 38633454, 44235816, 40525522, 203820934, 315258649, 23136344, 3412513, 53304934, 16187715, 73828439, 1382776, 7492623, 72104238, 19222845, 26139271, 5229812, 67645718, 43573138, 8006431, 261804494, 156622523, 22447868, 17221490, 54981806, 51408379, 10148911, 3085938, 93866529, 22497368, 27641439, 31533926, 133559574, 62702179, 118996295, 15882741, 58569374, 64456563, 40256698, 21631739, 51565532, 8244011, 35631079, 6464083, 78707398, 194313608, 114652034, 23279090, 8385885 ], [ 90265107, 97085922, 62919337, 109138232, 33277103, 7829423, 76975234, 83687780, 11338106, 364395064, 56199017, 34610107, 84520594, 174118816, 233487062, 52548829, 13484007, 148363555, 140643660, 15163429, 29984501, 145340171, 7192050, 233575, 101437440, 43176167, 50778710, 13627799, 10688834, 21147669, 33422527, 4276608, 92420806, 19490018, 68349831, 18914570, 154444328, 174633574, 86999431, 10679662, 73894573, 16703260, 11857120, 71133906, 57221722, 26757336, 66138760, 14928801, 111660739, 85786520, 6062175, 11741199, 157631804, 5262934, 36103520, 86751626, 85409508, 251672624, 18786348, 97694754, 187320279, 12155025, 9359567, 74046888, 112716301, 21279826, 73859478, 20876282, 5653064, 11128502, 71766336, 35693120, 79637443, 12467909, 227364211, 8928777, 131388203, 10226322, 23137451, 167507113, 259778524, 165896993, 168213052, 68277754, 52269276, 23136344, 49221285, 20869382, 218626322, 73828439, 25901517, 56212014, 8702321, 19222845, 19157648, 5229812, 51448301, 15323433, 3522355, 8800202, 72454346, 79870237, 17121506, 25339270, 58610343, 85782824, 10328263, 96921378, 11261624, 94194490, 31533926, 96419578, 34900327, 15844133, 37542398, 17911957, 55263645, 41396607, 39902837, 21748028, 93946636, 65489594, 6464083, 199867234, 262102959, 14470948, 100861008, 8385885 ], [ 133767379, 213916, 113505080, 134149043, 125013236, 148539, 115046075, 306660385, 47429823, 233495439, 22697464, 55136879, 435880839, 31360797, 37793319, 34768179, 98507634, 315043430, 67145674, 98680783, 48757041, 81161538, 54507159, 34088334, 21710163, 47168326, 50778710, 2566108, 4139590, 204697674, 182484876, 175371660, 130629805, 224764483, 126871329, 75232070, 140274632, 90589342, 86884185, 194479144, 85422202, 191610425, 49905013, 124972417, 92362204, 113731261, 46963576, 129919605, 254154253, 223778508, 195036129, 42298632, 246096465, 67955405, 17366602, 144375222, 19775169, 66324518, 14648640, 16330527, 64474081, 163526627, 166247101, 48164330, 232432162, 178345831, 107754139, 61172606, 465530661, 11128502, 178660193, 57092899, 181799768, 60270550, 9984689, 29962433, 51997502, 85912512, 95255415, 19249411, 109279140, 31168429, 21592827, 29720202, 261807063, 23136344, 143989921, 143590005, 218626322, 73828439, 529487680, 114032897, 87013343, 636771, 3624085, 140188466, 51448301, 43573138, 235760165, 118259672, 45168544, 79870237, 39741084, 114835017, 373500289, 36643396, 160122026, 199328976, 17007810, 271096793, 43458299, 159340074, 62702179, 83156815, 37542398, 77874438, 11151568, 36377371, 324236536, 83135938, 112368064, 67476139, 42767110, 57265303, 223595272, 5250619, 54663602, 53692391 ], [ 63235793, 73957937, 31520515, 57596459, 90652755, 7829423, 112604246, 88185506, 11338106, 111941412, 42493755, 63809058, 22757081, 10608818, 53604258, 138196863, 18518610, 1320109, 13703541, 53436704, 93180690, 46042705, 54507159, 48304075, 8151623, 43176167, 50778710, 8874972, 4139590, 21147669, 13798052, 70712698, 92420806, 19490018, 9919743, 34571402, 66556052, 30744122, 14588219, 121259695, 59904472, 39668587, 11857120, 38081757, 64752434, 74256488, 8870436, 39450044, 89261922, 212809955, 26014536, 10030682, 12789386, 28863318, 47110452, 151115724, 90567281, 30531816, 13505037, 16330527, 35918504, 46481541, 11416699, 46994050, 14845455, 152204219, 30982871, 11729070, 33644639, 8937545, 79667132, 73698525, 156246820, 12467909, 20588532, 40696534, 63915820, 10226322, 24397799, 15962901, 206468708, 629887, 1952855, 140116245, 48737309, 155174923, 32068275, 34969278, 52984891, 65620629, 13885638, 7492623, 112610509, 6493763, 109055717, 5229812, 50727531, 21890807, 272014843, 26937213, 198252112, 61127912, 39741084, 157367461, 3717721, 430972652, 93672328, 93866529, 12933874, 48503409, 8198026, 55899311, 19566567, 97001799, 37542398, 3410255, 57073503, 41396607, 5759422, 7707426, 112368064, 58841152, 6464083, 6165384, 7409901, 254634631, 54663602, 8385885 ], [ 35045781, 13515178, 43139594, 74511019, 125013236, 7829423, 4796298, 24077093, 11338106, 307929866, 33741451, 55136879, 71615469, 75666424, 223551612, 193977410, 18518610, 27986466, 160568881, 72311559, 20524941, 305672261, 33784157, 34088334, 8151623, 47168326, 69798482, 30743272, 58822219, 21147669, 182484876, 9423297, 92420806, 17170115, 9919743, 22598478, 140274632, 60755326, 86999431, 55155419, 78523311, 17280545, 11857120, 24567123, 3702195, 92138996, 46963576, 59332556, 111759408, 217042657, 27794976, 87331021, 3147668, 142315048, 17366602, 10654555, 177760154, 6044690, 14648640, 31897130, 196429491, 12155025, 23852044, 48164330, 28367226, 130944565, 95145633, 358909753, 50326426, 162434657, 81048222, 434285323, 377883947, 38302402, 276146656, 76258876, 142157452, 71500726, 95255415, 108979105, 194619951, 48006655, 24766906, 26791723, 43748698, 23136344, 84518664, 34969278, 52323384, 72840006, 68618920, 7492623, 201556034, 19222845, 97838497, 5229812, 9904138, 43573138, 110266230, 30702354, 279301716, 79870237, 16587101, 72312849, 40926487, 144122048, 6777174, 141103902, 35164341, 12951412, 8198026, 58846757, 63742822, 13069568, 64656965, 77874438, 14187457, 41396607, 39902837, 51565532, 146416411, 67476139, 34312063, 78707398, 11770568, 412040304, 50708775, 8385885 ], [ 202337531, 13515178, 31489282, 149213274, 119583545, 7829423, 4796298, 2201648, 46175481, 43240855, 119367130, 61887778, 86848865, 37073471, 57273016, 52548829, 7619152, 19240282, 5524917, 46120153, 29984501, 90821166, 8824962, 92952922, 15072477, 47168326, 70439458, 46274253, 85673659, 17771123, 13798052, 2868832, 37924836, 17170115, 26876762, 36446164, 36195030, 111646838, 12097461, 7122117, 106306915, 9182292, 11857120, 744442, 1309436, 59059592, 46963576, 14928801, 188376552, 75118583, 24144608, 68765070, 78451727, 62092515, 26624547, 52315371, 18247964, 6044690, 14648640, 6610976, 43571885, 97574132, 10055390, 48164330, 758187, 108437190, 73859478, 9989342, 197145086, 8937545, 115676548, 28456871, 99725302, 7435481, 42709484, 67312573, 789841, 92990750, 95255415, 1081391, 2886570, 629887, 24766906, 17277866, 186920410, 23974405, 41421788, 34969278, 16636870, 73828439, 96564008, 59286942, 41692074, 19222845, 19157648, 138898441, 51448301, 43573138, 104947092, 17034134, 38867257, 9498304, 37542637, 151200393, 115986847, 4696912, 156867974, 49394737, 3582241, 12951412, 22496294, 26827882, 8928103, 187349293, 24842932, 77874438, 14187457, 2552517, 65373577, 339948846, 53923074, 50404181, 85358323, 6968384, 11770568, 137081667, 7421594, 28065859 ], [ 6925873, 97085922, 91521943, 134149043, 136245013, 94249597, 157367015, 24077093, 11338106, 420666078, 119367130, 74243328, 84520594, 25661048, 57273016, 108168934, 40855158, 148363555, 51287163, 19695057, 217159954, 88262117, 31995815, 34088334, 172848455, 3571107, 17558543, 19528142, 11384301, 21147669, 182484876, 30479417, 92420806, 14773227, 349938688, 51382419, 85660278, 103563177, 147831668, 36700884, 85422202, 70121989, 178881183, 124972417, 208798578, 8738751, 96064311, 9853872, 79187697, 29665732, 26014536, 36602426, 51243350, 67955405, 17366602, 86751626, 69399563, 104382147, 11163758, 99788052, 239295322, 46481541, 166247101, 36769191, 34247476, 49373759, 20890072, 43609955, 104121289, 11128502, 109538670, 94246456, 67918239, 1839938, 20588532, 113068256, 210188509, 48831485, 110799380, 167507113, 10635877, 92646775, 1952855, 61282264, 98046745, 23136344, 217549827, 95262989, 74453127, 73828439, 191962791, 265886089, 258939660, 6493763, 61536432, 75897377, 50727531, 43573138, 129944624, 63975941, 30869059, 125474924, 39741084, 182150006, 19937624, 62080989, 160122026, 141103902, 34508847, 27641439, 31533926, 175130218, 108328295, 118996295, 37542398, 37966319, 123359600, 56137160, 67320203, 185279110, 263551128, 76350134, 42767110, 78707398, 12114064, 6207890, 100861008, 8385885 ], [ 24568957, 38167608, 23163493, 68786783, 33277103, 7829423, 122235588, 63283224, 11338106, 15101564, 119367130, 17470031, 6423718, 28190593, 2608887, 9216382, 36090254, 53013548, 7011872, 6595451, 39024619, 1032360, 52292132, 34088334, 32404941, 21434280, 17558543, 42247083, 22297431, 9811063, 36342808, 17844472, 19528989, 61760852, 9919743, 22598478, 131445641, 11574712, 86999431, 36700884, 52313730, 17280545, 49905013, 744442, 31101015, 72681927, 31705543, 33182577, 9195241, 224854834, 26014536, 35578335, 5858647, 126181351, 67758310, 13802806, 24442330, 71019915, 14648640, 31897130, 49817942, 97305873, 8648145, 48164330, 243695863, 137077539, 69562943, 18481749, 63046026, 11128502, 47738403, 94246456, 26179740, 93211249, 49304217, 52973807, 39107390, 23355992, 17970135, 74104424, 85817213, 10158467, 12545425, 45077948, 48897944, 23136344, 43857363, 53179238, 52984891, 91394798, 34884036, 7492623, 8702321, 19222845, 15272083, 5229812, 51448301, 15323433, 8006431, 32328827, 128706273, 22447868, 39741084, 28666453, 5910747, 10148911, 13569959, 9496151, 35164341, 94194490, 71675318, 48360882, 46514020, 13069568, 4047872, 9524705, 14187457, 41396607, 3881192, 7085642, 89250886, 103667776, 38015780, 78707398, 133945209, 1832243, 33579362, 8385885 ], [ 79626980, 97085922, 91521943, 96833695, 136245013, 93134198, 81223123, 117250155, 11338106, 101781882, 119367130, 74243328, 71615469, 174118816, 23609316, 25737545, 7814611, 69607594, 177322024, 28941804, 29984501, 183131299, 54507159, 34088334, 49321516, 47168326, 16674892, 13627799, 27774062, 2016496, 32318278, 45632430, 92420806, 19490018, 9919743, 31685849, 66556052, 141199477, 147831668, 10679662, 52313730, 72822749, 98787651, 124972417, 91602753, 181581527, 12536229, 81166966, 89261922, 85786520, 14607390, 11741199, 74393023, 67955405, 67758310, 13802806, 107804178, 156823799, 18786348, 34069127, 239295322, 157335083, 33395442, 101357667, 112716301, 127449548, 131606927, 59124870, 90734652, 11128502, 370900636, 166078129, 26179740, 12467909, 227364211, 100733770, 80724189, 10226322, 44841138, 108979105, 14708357, 25020071, 24766906, 140116245, 52269276, 23136344, 187569740, 53304934, 37520657, 73828439, 7898527, 7492623, 84093739, 19222845, 19157648, 5229812, 40686868, 43573138, 3522355, 148252258, 99357158, 22447868, 64410245, 71747420, 115986847, 150049881, 189797560, 37027122, 11261624, 94194490, 31533926, 152283894, 34900327, 174457815, 162901039, 77874438, 123359600, 10451778, 24346444, 94962878, 152954922, 202363595, 6464083, 105651113, 98777411, 141152380, 100861008, 8385885 ], [ 121555143, 43493743, 58499433, 64949304, 68994950, 7829423, 122235588, 121415900, 11338106, 88777570, 33741451, 55136879, 71615469, 49821461, 106825335, 37071526, 18518610, 78537317, 39005476, 40620308, 29356258, 88262117, 40985255, 34088334, 8151623, 755840, 16674892, 46274253, 48317547, 21147669, 13798052, 35171608, 92420806, 19490018, 9919743, 22598478, 16958417, 21224022, 39196081, 16769451, 46455744, 3223407, 11857120, 84396464, 30200234, 5564078, 16984205, 5528881, 40583454, 23547838, 68774826, 87331021, 6837048, 25458167, 27274415, 10654555, 90567281, 57345974, 11163758, 63179752, 35918504, 91164240, 62562366, 39130752, 28721496, 92676087, 9903185, 18481749, 15253128, 11128502, 3837077, 33597314, 85764190, 12467909, 49304217, 93502052, 48982349, 40682772, 29617518, 26225179, 19038590, 140458606, 24766906, 23576199, 8841244, 23136344, 32068275, 34969278, 48669013, 5362144, 28854300, 7492623, 104877683, 19174472, 15272083, 5229812, 50727531, 43573138, 103757577, 94665661, 93584895, 73872369, 21893811, 28666453, 9594562, 11133370, 147648, 9496151, 3582241, 45456132, 14870913, 133559574, 93898343, 10102317, 37542398, 77874438, 57388916, 9219250, 19888394, 5738617, 18608861, 67476139, 6464083, 78707398, 38115983, 51706520, 64234839, 8385885 ], [ 3232059, 13262061, 55835420, 74511019, 136245013, 82810648, 129549792, 34848851, 11338106, 420666078, 267684410, 25903025, 12661827, 59370111, 110703301, 29636511, 18518610, 22014735, 14248063, 79838228, 69861726, 116153520, 54507159, 34088334, 8151623, 43176167, 50778710, 159392171, 27774062, 21147669, 3925518, 50579299, 92420806, 296972719, 9919743, 79103186, 1550606, 12330597, 9032350, 15812072, 11142073, 127431486, 84011763, 67110770, 43182952, 8738751, 2262424, 129919605, 117862116, 80539667, 140425752, 38680821, 12789386, 211551143, 27274415, 28456575, 7912709, 29523115, 11163758, 11524488, 94293646, 48287149, 38504136, 36769191, 23802493, 6378140, 3148072, 121142618, 40194446, 11128502, 40355459, 73698525, 86736204, 20330484, 14049775, 146629205, 54285072, 156856293, 95255415, 24890324, 78255223, 73360330, 24766906, 152145799, 32908317, 23136344, 237851204, 34969278, 12596429, 21237389, 211286579, 7492623, 201556034, 19222845, 62289908, 65146730, 51448301, 43184542, 258711712, 49412346, 17011670, 85021603, 39741084, 154933537, 69695486, 76803299, 45171088, 145603465, 1774901, 45761004, 60361613, 152283894, 62702179, 49933769, 10655837, 37966319, 14187457, 135739122, 19888394, 90507478, 105796363, 25041777, 42767110, 4241466, 165142525, 9576295, 8438163, 8385885 ], [ 40147486, 82104694, 91521943, 53058387, 33277103, 7829423, 108092179, 88185506, 11338106, 16677736, 10278007, 74243328, 22757081, 113308800, 7570911, 21034128, 109549644, 44778422, 6662784, 28941804, 69861726, 183131299, 48133062, 34088334, 21710163, 43176167, 556387, 172966988, 85673659, 21147669, 34202976, 1452202, 23937603, 134182333, 9919743, 36446164, 89979232, 24554342, 86999431, 5414511, 85422202, 124550739, 11857120, 744442, 1994469, 136633470, 96064311, 14156480, 4656625, 34949633, 26014536, 78162373, 107617135, 67955405, 17366602, 69579037, 70589008, 34742023, 8909090, 37535908, 35881331, 66699972, 166247101, 6380444, 23182152, 152204219, 107754139, 11729070, 103833707, 8937545, 276590418, 124470354, 104330210, 5092455, 41920790, 116247650, 39107390, 62078491, 116686823, 67138780, 76332171, 7202544, 296118619, 21883622, 9682972, 3173546, 18630531, 143590005, 31510410, 55513661, 117188876, 7492623, 8702321, 19222845, 19157648, 15843734, 9904138, 15323433, 272014843, 30702354, 49450810, 58864030, 41465089, 120276192, 18754318, 28337482, 10328263, 98327686, 12933874, 60767190, 31533926, 38511818, 4055265, 42779730, 162901039, 17911957, 14935790, 41396607, 28110601, 94962878, 76797906, 109604538, 115967040, 35781802, 70979084, 159823085, 100861008, 8385885 ], [ 113659710, 83328899, 91521943, 134149043, 1773737, 7829423, 17837375, 73622631, 154010100, 152638871, 38036421, 39312800, 71615469, 50091355, 104045959, 51612917, 105901672, 44778422, 18630610, 82186695, 29356258, 312964667, 15394990, 3483270, 7184443, 43176167, 50778710, 8982412, 36979083, 9811063, 3901026, 20960442, 30480996, 19490018, 9919743, 34571402, 105430492, 101413631, 42945998, 55155419, 130175016, 76330499, 98787651, 31498261, 37033709, 41088252, 22487531, 32315667, 89261922, 83200726, 27794976, 11758747, 5217428, 61084979, 16043503, 1184902, 11067718, 6045037, 14648640, 165250218, 157938786, 51921857, 9433345, 7969807, 161047259, 23458859, 58889745, 11729070, 21401868, 8937545, 26465666, 61897468, 26179740, 10346753, 51870196, 51136416, 111702866, 31532024, 13309723, 64889486, 85817213, 33612121, 121649146, 26410859, 33774110, 4804257, 38087537, 143590005, 50538572, 30666737, 28854300, 7492623, 17049686, 2279026, 57599499, 5229812, 9904138, 43573138, 17408166, 30702354, 6496455, 22447868, 39741084, 44385067, 134628974, 58271000, 30097089, 58570577, 44293605, 39156272, 31533926, 9026886, 834148, 54058096, 41599599, 12788432, 3207842, 30194707, 24346444, 94962878, 91769704, 35631079, 6464083, 221895198, 169299943, 65231801, 50708775, 82023210 ], [ 103227315, 22529708, 20551867, 117514230, 40924872, 7829423, 124487828, 63191926, 11338106, 135119874, 119367130, 18109533, 11149442, 49117244, 103893751, 132715581, 25632354, 8106186, 36161704, 138673085, 69861726, 98766317, 54507159, 34088334, 21710163, 43176167, 17402290, 79277097, 4139590, 9811063, 99105481, 40406703, 57136855, 120989005, 9919743, 6019223, 52173871, 101413631, 111586645, 168213822, 133136688, 142682119, 11857120, 101918555, 64752434, 5564078, 126322562, 59332556, 67727380, 10375213, 26014536, 87331021, 246096465, 49755262, 67758310, 2284701, 98932246, 195371164, 44856623, 28456691, 239295322, 13546614, 16583842, 74046888, 46025101, 23458859, 60858451, 159151624, 41788772, 40450659, 123867353, 163134051, 26179740, 60270550, 20588532, 3554528, 48982349, 29415636, 14916290, 19249411, 91704959, 39596907, 84254983, 152145799, 8841244, 4804257, 71541590, 143590005, 122306138, 73828439, 246587301, 7492623, 23401976, 42278755, 92356686, 5229812, 51448301, 979604, 27524355, 81208466, 230229339, 20441678, 22173503, 132992065, 25781191, 175026777, 47583747, 175460981, 3582241, 94194490, 57686697, 133559574, 22526817, 45408064, 37542398, 77874438, 90797639, 78443578, 24346444, 83135938, 7805551, 76350134, 42767110, 78707398, 194313608, 49757387, 54663602, 8385885 ], [ 61938747, 37049060, 20551867, 117514230, 136245013, 7814850, 81223123, 30038045, 11338106, 134138480, 33741451, 74243328, 71615469, 174118816, 57273016, 107009234, 142014508, 44778422, 36161704, 138673085, 29356258, 99561417, 54507159, 34088334, 15072477, 47168326, 50778710, 30743272, 85673659, 21147669, 182484876, 94146601, 49637984, 91141172, 9919743, 22564256, 50966888, 139889655, 86884185, 60821305, 123754796, 40812308, 98787651, 124972417, 57704949, 5564078, 32313444, 145062040, 111660739, 23547838, 26014536, 94130647, 111869230, 33604583, 67758310, 10654555, 67005466, 43843075, 25272896, 82513676, 57666185, 132055669, 33395442, 12938296, 113542778, 39262611, 93117712, 56474687, 114870372, 11128502, 27757256, 91594711, 156246820, 60676671, 32309290, 41768460, 48982349, 71500726, 49381587, 7071017, 206468708, 99339, 24766906, 8708026, 4667868, 23136344, 71541590, 82443522, 23845706, 72840006, 117188876, 7492623, 112610509, 19222845, 34717163, 5229812, 9904138, 43573138, 8006431, 30702354, 138111909, 52589810, 64410245, 238108826, 51408379, 18809726, 147648, 53618226, 21709627, 41018212, 37897216, 37033987, 34900327, 58672491, 81760361, 77874438, 56623782, 40085340, 39902837, 22717768, 146416411, 55932863, 87110961, 3030832, 101898212, 65231801, 152789857, 8385885 ], [ 133926305, 97085922, 62919337, 17394282, 25910147, 111381395, 51637943, 87779152, 102722373, 71013518, 38036421, 34610107, 7434452, 203228203, 205191867, 41574475, 19720086, 44778422, 8188523, 10432478, 29356258, 46042705, 54507159, 27836708, 15072477, 29780152, 1271261, 46274253, 67213595, 21147669, 182484876, 30479417, 130629805, 75366654, 9919743, 60056805, 69392178, 96304775, 86884185, 48807174, 133136688, 9182292, 98787651, 744442, 158901726, 181581527, 46237443, 14156480, 111660739, 75991645, 26014536, 77325124, 89567576, 165173119, 27352071, 86751626, 67005466, 34742023, 165347182, 61634802, 239295322, 56980432, 33395442, 59869635, 83584128, 139221672, 90060050, 8461208, 43205631, 11128502, 19094705, 104722467, 156246820, 108357388, 34106109, 81724309, 687837, 71500726, 49381587, 26225179, 64692649, 167936210, 27386653, 140116245, 77254106, 23136344, 53628501, 93099342, 2301376, 144727883, 41167231, 7492623, 80337515, 19222845, 62266721, 5229812, 9904138, 43573138, 70365403, 30702354, 248177336, 125474924, 35503196, 106868210, 18629613, 76019322, 30097089, 170383539, 35164341, 94194490, 62345459, 35646354, 34900327, 58672491, 37542398, 12788432, 6292514, 131774687, 39902837, 94962878, 10094996, 362149521, 42767110, 78707398, 133945209, 14470948, 202956253, 61450149 ], [ 159847482, 97085922, 58499433, 134149043, 136245013, 164634094, 76975234, 30038045, 241322448, 152638871, 10278007, 45541655, 52601560, 207038292, 185867741, 194235394, 361467772, 104882773, 18630610, 326801990, 69861726, 98766317, 54507159, 30265834, 83220892, 117016792, 50778710, 13627799, 36979083, 9811063, 33422527, 70712698, 108507156, 19490018, 130064242, 9778552, 16958417, 150539085, 20089633, 61987849, 123754796, 124550739, 11857120, 21025205, 64752434, 50018306, 4572319, 8259620, 89261922, 85786520, 48216433, 53575456, 98419841, 61084979, 67758310, 1184902, 84948317, 308416947, 362203393, 48091385, 157938786, 125579921, 23589041, 84642404, 299888431, 123772041, 25486736, 116873020, 90734652, 11128502, 1927362, 182153051, 26179740, 10346753, 67447095, 76258876, 398766205, 10226322, 44841138, 159000350, 203686572, 39596907, 215766226, 14250187, 94784157, 23136344, 168918818, 143590005, 16187715, 30666737, 28854300, 41617789, 59814013, 19222845, 57599499, 5229812, 195617677, 979604, 147333563, 149229613, 147191683, 18668538, 64410245, 112236543, 147264836, 94160696, 77257505, 165664952, 11261624, 20602581, 8198026, 133559574, 62033120, 45408064, 41599599, 58417617, 123359600, 41396607, 24346444, 227634995, 239147563, 67476139, 6464083, 226294482, 306721294, 65231801, 123744615, 41236674 ], [ 155654907, 39090429, 91521943, 157120283, 89648487, 270127773, 122235588, 281574122, 47429823, 96170698, 19321600, 67943463, 8799657, 207228724, 140862904, 110662921, 79561568, 44778422, 13303018, 30878787, 29356258, 99847869, 54507159, 34088334, 14533353, 43176167, 212983963, 111592733, 182537670, 21147669, 146702589, 118197882, 130629805, 231457252, 9919743, 36446164, 52868871, 311384949, 10134326, 194479144, 133136688, 2773856, 11857120, 124972417, 64752434, 45054839, 46963576, 59332556, 571727645, 85786520, 27794976, 87331021, 141616975, 28922729, 74241463, 30095009, 179471924, 7865970, 13505037, 79400751, 35918504, 157094857, 44960964, 74046888, 139566993, 260111860, 101831917, 18481749, 652514924, 11128502, 297608259, 199082173, 104330210, 195371006, 60960901, 411693065, 142157452, 46531821, 145075117, 108979105, 45404420, 140487678, 7519438, 140116245, 61041495, 23136344, 32068275, 143590005, 54614390, 73828439, 191962791, 7492623, 52351213, 89480918, 45633377, 355542251, 9904138, 43573138, 123954622, 3962925, 351261567, 26417669, 64410245, 156140248, 373500289, 5937249, 18077475, 9496151, 12821873, 123258487, 31533926, 133559574, 34900327, 21384036, 37542398, 67803048, 64456563, 277147071, 64700756, 94962878, 183164109, 149924136, 81708627, 35335042, 264041844, 166270172, 513671920, 61450149 ], [ 30931129, 97085922, 91521943, 117514230, 136245013, 83387888, 17837375, 2963064, 47429823, 16677736, 111594686, 45541655, 71615469, 19502974, 23609316, 41794532, 148249129, 58008113, 16111413, 115376743, 29848094, 68003914, 45296023, 34088334, 14533353, 43176167, 1423423, 8982412, 72052502, 21147669, 3901026, 26870932, 30480996, 19490018, 9919743, 122794647, 66556052, 15739239, 23580742, 143670228, 130175016, 74514401, 84011763, 124972417, 213176388, 5564078, 38907518, 88264378, 228828959, 75118583, 26014536, 33452615, 33193090, 21139736, 16043503, 1184902, 105208756, 176713334, 14648640, 279690392, 157938786, 44837934, 11447161, 48164330, 29769179, 23458859, 131606927, 78013607, 94420609, 11128502, 26465666, 31668833, 104330210, 10346753, 55101405, 3554528, 48982349, 149762065, 10642407, 74104424, 283028602, 29614028, 18366922, 20985205, 2448536, 23136344, 30230283, 122981847, 50538572, 30666737, 28854300, 7492623, 2224546, 19222845, 38453706, 5232805, 175327975, 43573138, 8006431, 61264405, 28309778, 66965593, 50865195, 137020445, 56046697, 77211814, 134143065, 37569108, 71446452, 20935273, 24699977, 55012014, 34900327, 70427007, 28771883, 66339204, 11151568, 41396607, 162226585, 20672213, 32182005, 36683948, 6464083, 35781802, 208043842, 11991309, 57156642, 40239855 ], [ 139139940, 19937388, 91521943, 80487212, 136245013, 748134, 354322194, 154112738, 25044537, 81188546, 42522121, 74243328, 71615469, 606489919, 140952455, 221404745, 37800152, 333487844, 5312691, 296045587, 7083997, 46042705, 54507159, 28472682, 21710163, 329541734, 50778710, 46274253, 75161713, 21147669, 182484876, 32225846, 44403383, 2420456, 9919743, 52512232, 79255859, 239510771, 86999431, 101321538, 45246495, 39668587, 98787651, 124972417, 239972320, 72681927, 158467239, 107093946, 145985077, 132063625, 149322414, 94130647, 146891809, 128500669, 67758310, 29246001, 179471924, 127467688, 153891196, 238167710, 239295322, 163526627, 166247101, 139914702, 222165366, 152204219, 63238684, 20876282, 43269975, 11128502, 35910822, 94334860, 169089913, 108357388, 20588532, 109085950, 245533436, 508765621, 169109617, 207798641, 334235957, 221422103, 93224471, 43105768, 12184028, 23136344, 199107058, 55733450, 52984891, 98086766, 165627459, 7492623, 77293647, 19222845, 79091183, 48594798, 397986618, 43573138, 65795867, 441339, 154724246, 15201803, 57371164, 231776232, 165357810, 42055225, 47583747, 120070622, 35164341, 256671719, 147594662, 40641522, 1250663, 29713990, 240354627, 77874438, 123359600, 41396607, 82681547, 94962878, 51613150, 51180867, 85358323, 78707398, 104069106, 49757387, 233926784, 13783201 ], [ 19594632, 13262061, 91521943, 80487212, 60614589, 7829423, 76975234, 71961339, 11338106, 13975577, 33741451, 7335987, 71615469, 37433665, 102034964, 63370014, 23356912, 3550735, 5312691, 40299525, 17088587, 45571600, 54507159, 233575, 4836413, 84578863, 50778710, 13627799, 10688834, 21147669, 33422527, 17062210, 92420806, 19490018, 9919743, 22598478, 59625208, 51363546, 86999431, 101321538, 133356784, 39607173, 11857120, 71133906, 64752434, 26757336, 76710879, 5528881, 158281515, 52133795, 40206018, 18965667, 51243350, 95565302, 63879505, 86751626, 149928177, 8221730, 11163758, 10352721, 189633625, 46481541, 166247101, 72803949, 14845455, 23458859, 110304335, 20876282, 90734652, 11128502, 71766336, 104722467, 79637443, 12467909, 21543984, 8928777, 39663821, 10226322, 10845223, 7147687, 45404420, 629887, 43920541, 23805687, 12184028, 18759653, 49221285, 3340509, 48669013, 72840006, 28854300, 7492623, 25122515, 19222845, 79091183, 5229812, 287433178, 43573138, 169212692, 26937213, 128594277, 125474924, 39741084, 18175114, 40926487, 42055225, 3435798, 17105419, 3582241, 94194490, 31533926, 43746351, 1250663, 23255725, 144199753, 39776463, 3207842, 41396607, 39902837, 21748028, 105648214, 52548562, 6464083, 34776743, 12114064, 20485487, 13486249, 8385885 ], [ 28735205, 19937388, 48196175, 74511019, 6108443, 49446834, 53356002, 57282820, 25044537, 88777570, 38036421, 74243328, 13688128, 6816638, 91321064, 63288043, 18518610, 44778422, 129412786, 57593823, 29356258, 73774743, 40985255, 34088334, 5268798, 296363, 39004942, 82785784, 85673659, 21147669, 13798052, 72608530, 165947963, 1424521, 9919743, 22598478, 15948992, 21224022, 131021875, 37153598, 85422202, 7658704, 95046506, 744442, 192093254, 5564078, 93413578, 5528881, 111660739, 4706427, 27794976, 55997622, 12789386, 590926391, 17366602, 17947204, 13498519, 6044690, 167348523, 159317151, 35213388, 200500867, 163733495, 32744536, 19064806, 169157239, 45562768, 27112011, 50326426, 11128502, 1267708, 163134051, 53324168, 85089920, 61216899, 73953910, 39107390, 47010040, 169109617, 26225179, 109565242, 26643851, 27386653, 32908875, 8841244, 23136344, 199107058, 34969278, 48669013, 82618993, 15664769, 7492623, 100685828, 19222845, 8409896, 104997302, 3350131, 43573138, 67621624, 441339, 101110092, 84655621, 39741084, 2842731, 108013928, 743507, 1030147, 38752516, 12933874, 49044164, 79799283, 54392512, 1957091, 54058096, 28700861, 77874438, 221657, 7909429, 28110601, 51565532, 193466779, 51180867, 42767110, 16821617, 40645614, 166270172, 91047311, 129654942 ], [ 162856819, 97085922, 91521943, 157120283, 13702259, 270127773, 99240994, 212672430, 111709964, 9649081, 67614245, 49874935, 13688128, 86837586, 50053741, 110662921, 35635354, 78097557, 40700961, 57593823, 69861726, 444205204, 21801572, 25897196, 186710977, 32464945, 48440374, 13627799, 85673659, 21147669, 165445335, 70712698, 45596526, 19490018, 9919743, 107832548, 89979232, 150044720, 105263019, 132692513, 31568811, 121239191, 98787651, 113037503, 130809520, 38061360, 85560165, 36292908, 99676746, 85786520, 26014536, 87331021, 246096465, 61084979, 49711231, 86751626, 179471924, 104382147, 263682221, 79400751, 294334861, 46481541, 8932549, 15008321, 246405683, 486272412, 101831917, 116873020, 94420609, 11128502, 203440970, 184333543, 8352309, 12467909, 156925371, 122756166, 210188509, 10226322, 122376589, 217967815, 197780416, 151531624, 299818644, 140116245, 156041499, 23136344, 130727721, 65859679, 70797032, 73828439, 28854300, 7492623, 5903217, 3492989, 60854711, 5229812, 12258690, 43573138, 67660877, 63975941, 255628920, 60415930, 64410245, 188077435, 165357810, 150049881, 309666511, 63785001, 12821873, 49044164, 19506101, 152283894, 1957091, 74264414, 157498963, 77874438, 11151568, 134966170, 39902837, 94962878, 67511127, 62201479, 6464083, 226294482, 12114064, 166270172, 259762113, 50066590 ], [ 31315898, 49598598, 91521943, 50682523, 135600387, 153867944, 83235336, 99576300, 11338106, 263977648, 19436251, 74243328, 71615469, 75666424, 50053741, 239229348, 13484007, 35210160, 29478823, 16320995, 29356258, 244422808, 37469071, 34088334, 65241781, 47168326, 17558543, 39788990, 34539605, 21147669, 13798052, 45632430, 92420806, 19490018, 9919743, 22598478, 30742262, 69478686, 86999431, 36700884, 74582199, 124550739, 11857120, 47239107, 64752434, 151004779, 46963576, 36292908, 1456237, 85786520, 26014536, 11741199, 55527971, 28922729, 18104879, 86751626, 90567281, 122978465, 80574384, 55308913, 239295322, 21808568, 44960964, 15487640, 33689370, 78130728, 59777228, 14700614, 94420609, 11128502, 258962441, 194768184, 64145587, 12467909, 24549521, 95140858, 80960418, 59158499, 29617518, 1081391, 52554193, 140458606, 24766906, 42505130, 52269276, 23136344, 192082432, 63306276, 14193155, 73828439, 28854300, 7492623, 84093739, 19222845, 14887224, 5232805, 9904138, 43573138, 3814559, 3962925, 45749314, 9498304, 11491031, 293679750, 144518331, 4696912, 1436212, 110035238, 26093144, 49044164, 26038747, 71336515, 34900327, 38549741, 21042131, 77874438, 123359600, 41396607, 104626432, 51565532, 7440492, 65489594, 6464083, 162894845, 306721294, 65231801, 13486249, 8385885 ], [ 197486146, 97085922, 91521943, 93266848, 125013236, 7829423, 81223123, 262464312, 47429823, 140110916, 22436671, 55136879, 20820311, 13920403, 233701148, 287871145, 98357487, 92028437, 204889806, 30606975, 29984501, 183131299, 54507159, 130070583, 357378990, 24714950, 50778710, 158186013, 38664319, 21147669, 43122441, 70712698, 130629805, 19490018, 9919743, 33305748, 140274632, 90589342, 67468716, 69005833, 6521212, 79422489, 49905013, 124972417, 141293504, 96535667, 46963576, 48111869, 45725471, 83724180, 26014536, 86665551, 332013472, 211551143, 67758310, 197769564, 43402558, 6045037, 37915917, 294779666, 110737036, 77199453, 33395442, 7969807, 85769507, 152204219, 131606927, 137732744, 43205631, 11128502, 176979503, 164131328, 104330210, 12467909, 181931289, 116247650, 25034831, 42159915, 33910458, 108979105, 76332171, 155315515, 24766906, 66745399, 262701148, 17133538, 143989921, 10452908, 218626322, 73828439, 28854300, 7492623, 18179967, 19222845, 132195844, 5229812, 128543607, 43573138, 14574570, 148252258, 37460249, 65904596, 64410245, 15381447, 1213477, 161903296, 160122026, 124192456, 35164341, 26994832, 31533926, 152283894, 108892514, 194919342, 88138403, 77874438, 57388916, 122465862, 39902837, 94962878, 134533337, 22495320, 6464083, 12307856, 97987349, 306629280, 72362823, 87851023 ], [ 3232059, 75324996, 91521943, 36703392, 13702259, 49446834, 81223123, 130453420, 163212412, 180098466, 38036421, 74243328, 29665705, 207228724, 228818974, 333177706, 65678101, 44778422, 5312691, 138673085, 29356258, 118009155, 54507159, 15086633, 175520981, 13176388, 50778710, 13627799, 10612938, 9811063, 13798052, 1583679, 33588870, 19490018, 9919743, 34571402, 89979232, 111646838, 52423663, 109689335, 122282160, 124550739, 11857120, 124972417, 46717452, 39104029, 191320393, 59332556, 28791263, 58342728, 26014536, 87331021, 111822348, 109565665, 67758310, 13802806, 7912709, 8221730, 14648640, 221127417, 189633625, 46481541, 8932549, 15008321, 2663878, 14120028, 117692617, 11729070, 90734652, 8937545, 113826061, 220884734, 26179740, 12467909, 50873295, 96863889, 54162192, 10226322, 19353368, 146344101, 45404420, 33612121, 75330168, 140116245, 12184028, 23136344, 103652434, 143590005, 74453127, 38712468, 28854300, 72937, 112610509, 19222845, 42292759, 5229812, 9904138, 23919865, 67660877, 26937213, 99169438, 22447868, 61110787, 132992065, 108598905, 42055225, 38484741, 43313435, 11261624, 94194490, 31533926, 133559574, 34900327, 58672491, 153319542, 77874438, 14187457, 9219250, 22566563, 68513960, 32182005, 207669906, 6464083, 15493316, 12114064, 9576295, 51513339, 144695428 ], [ 63235793, 25155208, 20551867, 65638531, 33277103, 76289522, 28368562, 37987635, 11338106, 43240855, 5032796, 69354034, 16948464, 34041558, 57273016, 15760455, 44258547, 10053466, 18630610, 64922813, 3019204, 35001633, 7097485, 13165614, 15072477, 22483735, 17558543, 31043805, 85673659, 21147669, 72676242, 16789825, 33744510, 15980260, 9919743, 36446164, 154444328, 33221467, 64238106, 35959074, 53670039, 18823905, 11857120, 10421108, 64422187, 10151165, 72525756, 11190101, 61146, 75118583, 26014536, 37443353, 12463154, 19390578, 45390288, 10654555, 71174509, 164215030, 18786348, 68534177, 5488684, 12155025, 10055390, 15008321, 3477049, 37695852, 73859478, 116873020, 72751226, 11128502, 89756829, 89761160, 156246820, 48238464, 15109469, 113068256, 4078540, 31134821, 24397799, 6596936, 77230410, 19213264, 73106493, 8889224, 138639582, 23136344, 71541590, 63306276, 16165146, 32243917, 15208981, 7492623, 1538586, 19222845, 19157648, 5229812, 9904138, 6823891, 128515529, 6510904, 31953348, 208125283, 22173503, 13618800, 72897046, 28337482, 38484741, 43313435, 11261624, 10655704, 69328402, 98380939, 34900327, 14601805, 7278096, 71561743, 82300461, 9219250, 28110601, 22717768, 7440492, 54314133, 18863370, 31269760, 78854301, 137081667, 100861008, 8385885 ], [ 63235793, 97085922, 113505080, 203182617, 136245013, 7829423, 123781816, 230690594, 108800924, 150264207, 151853792, 74243328, 543716709, 177384777, 342996301, 366158729, 70557451, 115646117, 339065886, 354656654, 48046939, 174630555, 33784157, 34088334, 87236638, 60890090, 99311136, 252460297, 74534394, 98455822, 182484876, 242606352, 130629805, 296972719, 126871329, 107832548, 15948992, 469902203, 123927943, 194479144, 133136688, 7658704, 38426898, 18062187, 112968001, 10151165, 358302617, 129919605, 127223474, 89121664, 513199243, 25544877, 243447728, 49755262, 98129014, 98450183, 179471924, 116430525, 14648640, 280241658, 64474081, 48287149, 38504136, 47980771, 190192995, 8767110, 167422831, 862975525, 142922705, 11128502, 25921815, 166078129, 240276006, 272079305, 105449809, 116247650, 271912075, 42159915, 95255415, 158253410, 76332171, 170292909, 105240896, 94155543, 121105692, 23136344, 291181852, 143590005, 35901352, 73828439, 166448149, 133476764, 23401976, 19222845, 132178204, 5229812, 44055985, 43184542, 272014843, 148252258, 458518823, 28375534, 22173503, 2842731, 165357810, 36643396, 100143768, 291330493, 35164341, 94194490, 65085401, 201298714, 172739939, 194919342, 37542398, 77874438, 14187457, 207035605, 39902837, 227634995, 7805551, 63207095, 9279258, 78707398, 262102959, 64194952, 843170836, 61450149 ], [ 44033231, 75324996, 91521943, 134149043, 22315045, 7829423, 59992945, 30038045, 89195053, 82952225, 33741451, 39312800, 8799657, 50091355, 55628023, 3655378, 35635354, 1320109, 5312691, 12230160, 29984501, 88262117, 15394990, 34088334, 101437440, 46559750, 50778710, 2566108, 4139590, 21147669, 88590952, 3400158, 130629805, 19490018, 9919743, 22598478, 201450069, 34182644, 66415945, 37153598, 6521212, 36854248, 98787651, 48197679, 13730136, 8738751, 80408889, 145062040, 106295078, 78224680, 26014536, 72386568, 51243350, 67955405, 67758310, 23754173, 55492492, 7865970, 11163758, 37539156, 102965689, 105476096, 33395442, 15008321, 33689370, 152204219, 9199391, 20876282, 30422587, 11128502, 93913472, 61897468, 104330210, 12467909, 34106109, 116247650, 11894363, 10226322, 10845223, 19249411, 38633454, 46523739, 102685012, 144466630, 12184028, 17133538, 310755821, 63061736, 135507893, 73828439, 28854300, 7492623, 46605346, 19222845, 62266721, 80664734, 31812472, 24325322, 112348439, 107851903, 140515034, 218835269, 11491031, 182150006, 79147676, 18809726, 30092916, 43313435, 24606677, 26994832, 31533926, 152283894, 62033120, 118996295, 37542398, 7858591, 221657, 9219250, 5759422, 51565532, 73283678, 184935455, 6464083, 6968384, 78328274, 141762872, 54663602, 28065859 ], [ 35045781, 22529708, 91521943, 50682523, 136245013, 7829423, 6773293, 24139189, 11338106, 43540580, 33741451, 74243328, 74634794, 174118816, 193341203, 21736456, 18518610, 35210160, 18630610, 30519597, 29356258, 99561417, 54507159, 34088334, 8151623, 43176167, 9823384, 13627799, 48317547, 1766680, 13798052, 9423297, 92420806, 91141172, 115003938, 15893949, 154444328, 69478686, 39196081, 5535505, 78523311, 1836028, 11857120, 107106667, 64752434, 2160723, 97950163, 13846716, 89261922, 85786520, 181641608, 28370071, 12789386, 109565665, 98129014, 29246001, 90567281, 8221730, 18786348, 34069127, 99257009, 53945050, 26970666, 27647151, 28721496, 23458859, 6272103, 20876282, 50326426, 11128502, 3837077, 132632490, 104330210, 138496841, 67447095, 26237843, 166829806, 10226322, 49381587, 167507113, 19038590, 61343441, 39116292, 140116245, 77254106, 23136344, 65709753, 103171910, 36523646, 73828439, 122000850, 792668987, 98587144, 19222845, 19157648, 99126886, 51448301, 1995512, 46240026, 81208466, 351261567, 125474924, 39741084, 76947007, 21748611, 35033547, 38484741, 110035238, 26093144, 106480984, 14870913, 72827213, 34900327, 58672491, 21042131, 77874438, 64456563, 129590908, 154833847, 22717768, 51613150, 183431080, 42767110, 28196801, 81256842, 49757387, 13486249, 8385885 ], [ 133926305, 13262061, 91521943, 22543064, 136245013, 137611764, 24958943, 22328722, 11338106, 82940775, 79323819, 15642840, 84520594, 29888653, 136902391, 41574475, 13484007, 14176321, 93732676, 37914459, 29984501, 41601143, 17975042, 1526538, 21710163, 285087, 1271261, 46274253, 4139590, 18419991, 35615106, 35171608, 30480996, 150857322, 68349831, 34571402, 140274632, 100440667, 42945998, 29478518, 38375191, 87256064, 11857120, 97182845, 34349938, 10151165, 46963576, 14156480, 22709165, 40251806, 26014536, 11741199, 141616975, 6740888, 18959152, 10654555, 26847428, 34742023, 64479565, 40026291, 230837878, 136345621, 32872819, 27647151, 83584128, 23458859, 90060050, 20876282, 106534241, 11128502, 27757256, 315606938, 104330210, 54331504, 55101405, 64300191, 687837, 43988455, 72596379, 19249411, 129403970, 328312510, 24766906, 84083543, 17218455, 23136344, 85675933, 143590005, 207154296, 70932635, 119485024, 82454946, 23401976, 19222845, 101763516, 5229812, 51448301, 10584785, 8006431, 81208466, 5824541, 18668538, 22173503, 154933537, 72897046, 76019322, 1436212, 3824292, 60066507, 29184568, 31533926, 71336515, 58340576, 194734734, 37542398, 77874438, 123359600, 40085340, 39902837, 31463377, 7805551, 67476139, 42767110, 12797032, 236557334, 30584296, 54663602, 8385885 ], [ 8428240, 22529708, 91521943, 547009, 33277103, 88044602, 36274764, 89455921, 11338106, 22277670, 151853792, 17470031, 162302188, 152987134, 57273016, 41574475, 36090254, 148363555, 93732676, 12230160, 4830115, 104300478, 54507159, 16439853, 21710163, 34974794, 1271261, 4086075, 36979083, 9811063, 13798052, 45632430, 13976958, 82089828, 22427269, 15006975, 12328146, 90589342, 20798926, 152483206, 85422202, 17280545, 90763939, 107806842, 85409986, 10151165, 46963576, 56596407, 101150932, 78224680, 26014536, 7003946, 38367923, 49755262, 17366602, 13802806, 55492492, 130914559, 25272896, 31897130, 61606123, 78529971, 33395442, 117406724, 232432162, 8767110, 9903185, 3657097, 63046026, 11128502, 93913472, 192822722, 26179740, 83174504, 20588532, 113168606, 687837, 22464142, 90517052, 11717066, 72967934, 629887, 24766906, 4944504, 48897944, 23136344, 71664640, 21325163, 290316344, 5362144, 122000850, 18282833, 8702321, 24348596, 91756713, 168653519, 33903726, 15323433, 8006431, 50564966, 20785401, 22447868, 22173503, 18143679, 79147676, 15201335, 47583747, 55492560, 7904111, 98398162, 10491999, 235077177, 61107429, 13069568, 37542398, 35577795, 123359600, 134045925, 24346444, 78186645, 7805551, 24773881, 35652117, 78707398, 138164774, 37729788, 32594470, 8385885 ], [ 6925873, 73957937, 14159049, 85872254, 6100845, 7829423, 80124967, 31957478, 11338106, 22277670, 10278007, 6326504, 34739738, 39175709, 57273016, 205070619, 13484007, 10053466, 5312691, 91072366, 90034002, 58300229, 33784157, 34088334, 159588941, 3571107, 17558543, 42247083, 4139590, 395870, 98199931, 12876390, 1133195, 82089828, 9919743, 22598478, 85660278, 23384493, 20798926, 36700884, 52313730, 17280545, 20617219, 124972417, 45109329, 52150253, 39332695, 5528881, 7617318, 52133795, 26014536, 11741199, 29805389, 67955405, 18959152, 34775875, 50167128, 26630452, 66967279, 31897130, 64474081, 56202485, 121301405, 17485048, 34247476, 27777802, 7457762, 3657097, 63046026, 11128502, 184018, 14016912, 1721996, 40181690, 20588532, 71973597, 137751260, 3496511, 57739491, 19249411, 80116042, 12318599, 7258463, 46569592, 12184028, 23136344, 3412513, 34969278, 16187715, 73828439, 15208981, 7492623, 2587089, 19222845, 55109144, 5229812, 49803073, 10584785, 8006431, 28179107, 58625715, 50218295, 31331260, 28666453, 626592, 42055225, 20952950, 1636840, 7904111, 27070144, 2396802, 18254215, 2747877, 13069568, 36147882, 7845512, 105746358, 9219250, 33182288, 51565532, 9128728, 67476139, 30149046, 78707398, 58458180, 37729788, 54663602, 8371753 ], [ 126942721, 83328899, 90283397, 52262630, 89648487, 7829423, 51637943, 237494905, 47429823, 22277670, 33741451, 39863948, 71615469, 114539817, 75752799, 120030736, 77018860, 69607594, 8188523, 23242567, 29984501, 32850825, 54507159, 78384236, 21710163, 47168326, 10281903, 46274253, 15008200, 21147669, 36342808, 40406703, 130629805, 82089828, 9919743, 34571402, 69392178, 90589342, 20798926, 53469199, 5540999, 33145416, 84751845, 11997696, 120442365, 97451207, 35874285, 56596407, 89261922, 121952856, 26014536, 33709547, 141616975, 109565665, 67758310, 11735842, 179471924, 8221730, 66967279, 17090967, 57666185, 3461683, 10055390, 101357667, 116251828, 28830461, 110304335, 3657097, 68295644, 11128502, 184018, 39892544, 123218571, 177307102, 67447095, 17535400, 142157452, 65764808, 10845223, 108979105, 45404420, 10158467, 24766906, 136263894, 20163611, 52057456, 3412513, 81124833, 54614390, 15850384, 15166074, 7492623, 114887914, 51195759, 57599499, 176291003, 242640728, 43573138, 27244242, 139996173, 42362674, 79870237, 35503196, 54981806, 124859301, 10579644, 193070680, 43313435, 3582241, 98398162, 56854931, 26876243, 34900327, 33463533, 154307381, 30217700, 64456563, 9219250, 33182288, 94962878, 53923074, 67476139, 62791014, 28196801, 223595272, 37729788, 100861008, 23188207 ], [ 40147486, 58042604, 91521943, 74511019, 132067536, 164746620, 129549792, 10728620, 15229903, 48784802, 39047955, 22754085, 8799657, 69439694, 69945414, 318579481, 18518610, 148363555, 18630610, 64922813, 97304613, 17123048, 7097485, 34088334, 3406466, 46559750, 50778710, 31043805, 85673659, 21147669, 182484876, 40406703, 130629805, 19490018, 9919743, 34571402, 66249970, 33221467, 9985536, 90318105, 188043164, 2773856, 98787651, 116247633, 38492298, 10151165, 46963576, 20485951, 23795719, 89121664, 26014536, 36602426, 11471271, 49755262, 67758310, 10654555, 81819981, 7865970, 152992530, 28456691, 86742350, 22328890, 80522060, 48814616, 105516257, 4770883, 10930615, 20876282, 50326426, 11128502, 101377208, 76758894, 60433433, 6787830, 20588532, 150309433, 15179998, 97857801, 48996351, 108979105, 64000279, 46228213, 24766906, 14747030, 210145180, 23136344, 132240073, 62372767, 23668964, 36935618, 28854300, 7492623, 23401976, 19222845, 55547071, 44524435, 132514357, 23919865, 82813620, 5582545, 31953348, 203128980, 22173503, 79832360, 33631571, 85782824, 3085938, 43313435, 3582241, 89389321, 30663933, 52828812, 17980645, 158561483, 240354627, 58569374, 2396252, 9219250, 156900151, 94962878, 7805551, 76350134, 6464083, 28196801, 159471041, 147046725, 23279090, 11971662 ], [ 108496570, 97085922, 91521943, 47660980, 33277103, 7829423, 155589119, 56415533, 26944537, 43240855, 41492799, 52612201, 15953313, 13920403, 4413105, 56713118, 28566621, 58387624, 18630610, 138673085, 36346274, 32527896, 48133062, 1286725, 32404941, 117016792, 50778710, 100303565, 85673659, 21147669, 182484876, 70712698, 25166883, 19490018, 130064242, 35084452, 8653464, 179608297, 111586645, 29478518, 136166757, 37919186, 11857120, 77091778, 64752434, 159340643, 72525756, 59332556, 25714548, 33959540, 26014536, 45326048, 45328380, 36276209, 40988700, 86751626, 26847428, 25872559, 14648640, 40026291, 55096140, 12155025, 77937664, 48164330, 235194001, 70725730, 91489566, 39729545, 63628992, 1825942, 123867353, 80539592, 34433728, 12467909, 20588532, 116247650, 3490129, 57081550, 95255415, 220942899, 50114849, 1846266, 1952855, 26791723, 175893400, 4804257, 75594777, 1804505, 16187715, 48360465, 28854300, 53896088, 8702321, 6493763, 57599499, 76189656, 64682674, 15323433, 242910694, 32328827, 57148532, 54708958, 13531571, 15381447, 28851580, 10148911, 54546833, 25347293, 34508847, 78329930, 31533926, 73382608, 34900327, 97001799, 5696495, 2011131, 8032366, 30194707, 90921713, 54867929, 161515961, 62201479, 6464083, 186408728, 39696876, 37640331, 223242419, 23188207 ], [ 50473785, 75324996, 40672129, 64949304, 125013236, 7829423, 81223123, 13312965, 44920691, 13975577, 22697464, 17470031, 71615469, 75666424, 57273016, 61101287, 28891751, 1320109, 5312691, 128972561, 29984501, 46042705, 37469071, 34088334, 92008897, 47168326, 56824150, 13627799, 85673659, 21147669, 145809542, 16477418, 130629805, 176121546, 9919743, 22598478, 15948992, 904925, 31734470, 101321538, 74582199, 39668587, 90763939, 124972417, 114862012, 45054839, 46963576, 5528881, 58222733, 147982748, 26014536, 10030682, 157050717, 66612700, 74241463, 32673380, 28928372, 6044690, 14648640, 50895542, 47814554, 146962618, 33395442, 47980771, 14845455, 23458859, 6272103, 20876282, 58456141, 11128502, 232022101, 154347737, 200565756, 173815073, 27303075, 53018923, 27420445, 10226322, 63235336, 27824878, 76332171, 90398450, 24766906, 26791723, 12184028, 23136344, 61441404, 46765853, 16187715, 5362144, 96564008, 7492623, 80374169, 19222845, 79091183, 177986462, 110408707, 43573138, 88175733, 26937213, 45749314, 28210224, 11491031, 33373381, 165357810, 36188027, 74355201, 137034153, 3582241, 79165971, 191241821, 71336515, 96593127, 146385614, 80764714, 77874438, 14187457, 162153734, 6015996, 51565532, 87678381, 118602604, 85358323, 3030832, 127778075, 170395569, 7421594, 54727878 ], [ 273731246, 83328899, 91521943, 27899268, 68797297, 7829423, 11334436, 130453420, 11338106, 79046893, 119367130, 20146360, 71615469, 59370111, 35881504, 189663752, 193818367, 94913088, 152460571, 4815791, 97304613, 46042705, 48133062, 34088334, 172848455, 117016792, 8025753, 13627799, 4139590, 9811063, 36342808, 1686558, 92420806, 14773227, 9919743, 6019223, 154444328, 206894540, 9985536, 129555925, 133356784, 39668587, 11857120, 77091778, 64752434, 5564078, 84757146, 59332556, 7617318, 128334008, 26014536, 51115619, 74853183, 21139736, 40988700, 10654555, 71835807, 164215030, 14648640, 16330527, 123106573, 56202485, 4735187, 36769191, 319950682, 4770883, 20890072, 12512447, 158975681, 11128502, 81048222, 73698525, 26179740, 7409211, 33384915, 63602691, 48982349, 10226322, 95255415, 19249411, 91734214, 10158467, 12545425, 26791723, 8841244, 23136344, 61208463, 143590005, 52984891, 145723684, 141883899, 7492623, 53375586, 425153, 15727200, 5229812, 50727531, 43573138, 109610835, 32328827, 57148532, 22447868, 64410245, 123391977, 5910747, 60881301, 37329308, 9496151, 47049990, 48503409, 8198026, 133559574, 17980645, 194919342, 269228986, 37966319, 4778538, 135279616, 24346444, 83135938, 11660585, 54314133, 142662399, 185272794, 235304858, 114723676, 54663602, 1443833 ], [ 74884903, 72072465, 53380503, 27543629, 136245013, 49446834, 99758891, 55032171, 55845750, 63086423, 13169406, 56752783, 22757081, 60419476, 14676184, 51612917, 18518610, 1320109, 37552640, 14622772, 7083997, 99847869, 37469071, 33438807, 8151623, 43176167, 50778710, 2566108, 4139590, 21147669, 13798052, 40406703, 26077353, 111678221, 52865608, 22598478, 60098715, 33221467, 31535672, 147872792, 39612379, 29560112, 25842168, 38081757, 239972320, 45054839, 60141767, 129919605, 6440743, 85786520, 26014536, 55422644, 12789386, 22621813, 27352071, 86751626, 69399563, 48528190, 9505261, 3767974, 55096140, 30377620, 59311801, 48164330, 14845455, 110435244, 14639676, 20876282, 15266253, 8918385, 79667132, 177003822, 63965587, 44821397, 35674119, 190713625, 71512655, 67811594, 73038650, 19249411, 70737589, 14339339, 27386653, 37638504, 7835358, 4804257, 42282500, 34969278, 14048574, 73828439, 52525598, 1976638, 7808029, 19222845, 109055717, 75897377, 9138577, 43573138, 7140163, 6497371, 45749314, 100348418, 39741084, 62751941, 72897046, 45189268, 38484741, 25347293, 3582241, 32459775, 31533926, 38145337, 834148, 58672491, 7083149, 9626590, 3207842, 84147898, 28110601, 51565532, 144243052, 52548562, 42767110, 5366624, 12114064, 77051394, 35693722, 53692391 ], [ 4428475, 25341546, 91521943, 5604049, 24002391, 7829423, 81223123, 88185506, 11338106, 48784802, 10278007, 17470031, 22757081, 23223860, 33521235, 142077666, 36090254, 115646117, 10846242, 138673085, 29984501, 87169403, 54507159, 233575, 101844271, 43176167, 26468430, 13627799, 4139590, 21147669, 182484876, 30479417, 26077353, 19490018, 22427269, 22598478, 122829624, 267671936, 39196081, 31847589, 85422202, 7658704, 7915320, 124972417, 55324866, 26757336, 72525756, 59332556, 271700944, 82772653, 26014536, 86665551, 72630313, 21139736, 17366602, 10654555, 177760154, 51210683, 133470064, 31897130, 61048455, 12155025, 16583842, 6380444, 23802493, 8767110, 70797506, 77917987, 40194446, 11128502, 3837077, 28456871, 1721996, 12467909, 35674119, 77334314, 55154462, 10226322, 39295238, 19249411, 76332171, 26643851, 105240896, 44074122, 48897944, 23136344, 43319394, 128280616, 97841373, 73828439, 28854300, 62046235, 57941083, 19222845, 73745621, 5229812, 58884049, 43573138, 64617804, 3962925, 207298763, 61127912, 48659214, 2842731, 67712136, 16785631, 10328263, 199328976, 12933874, 81377413, 9815567, 27382384, 8928103, 13069568, 93419607, 17911957, 11151568, 41396607, 21398880, 4568447, 135304835, 54314133, 6464083, 78707398, 81256842, 19034114, 8438163, 8385885 ], [ 199948301, 97085922, 91521943, 22543064, 60554854, 7829423, 9826253, 117250155, 11338106, 26499309, 119367130, 26863402, 71615469, 25332618, 290874010, 194235394, 35635354, 37588023, 136708683, 30606975, 69861726, 41601143, 54507159, 117605892, 84389921, 20593551, 11025115, 13627799, 85673659, 21147669, 3901026, 70712698, 28190702, 19490018, 9919743, 36446164, 89979232, 150539085, 42945998, 24676724, 130175016, 36854248, 11857120, 87449919, 1309436, 10914927, 235643560, 28538266, 92826717, 30063932, 9319170, 18965667, 180962624, 286635474, 16043503, 1184902, 179471924, 334887624, 18786348, 43958545, 65906034, 125579921, 148215423, 15008321, 14845455, 31378222, 131606927, 87708302, 94420609, 11128502, 26465666, 41440769, 104330210, 10346753, 99607073, 94449962, 71512655, 10226322, 44841138, 159000350, 129403970, 27591596, 87388983, 26410859, 33774110, 39649565, 70830977, 10452908, 16187715, 30666737, 28854300, 7492623, 129731800, 19222845, 19157648, 47785386, 62659358, 43573138, 38497997, 26937213, 329190240, 118435242, 64410245, 112236543, 39990073, 2904225, 118745717, 63785001, 42163338, 66116045, 27637367, 26876243, 40320230, 23255725, 41599599, 13721683, 3207842, 41396607, 162226585, 31463377, 105179096, 52548562, 6464083, 6968384, 141795078, 41258304, 41275109, 8385885 ], [ 6925873, 22529708, 91521943, 117514230, 125013236, 223304502, 81223123, 219789550, 11338106, 178367652, 10278007, 55136879, 65498852, 39175709, 57273016, 200355234, 28669790, 98901243, 5312691, 138673085, 29984501, 415771636, 54507159, 34088334, 101437440, 47168326, 69798482, 13627799, 58822219, 21147669, 177004701, 119443140, 92420806, 1497955, 9919743, 107832548, 890299, 23499819, 86999431, 10679662, 133356784, 21299284, 49905013, 24567123, 141293504, 5564078, 46963576, 129919605, 92826717, 59082130, 26014536, 87331021, 161036725, 49755262, 74241463, 10654555, 177760154, 71019915, 500222319, 110025120, 191511429, 12155025, 33395442, 149163783, 92585533, 8767110, 110304335, 20876282, 106203847, 11128502, 228827849, 68275402, 88152723, 38302402, 55101405, 89121908, 48982349, 10226322, 169109617, 74104424, 70737589, 44235816, 24766906, 57259835, 8841244, 23136344, 13431390, 143104447, 36523646, 73828439, 15063757, 7492623, 23401976, 209260086, 79091183, 5229812, 5674697, 43573138, 3522355, 139996173, 128594277, 125474924, 22173503, 114835017, 40926487, 42055225, 38076923, 139456235, 35164341, 28840007, 31533926, 66953849, 93898343, 70427007, 184373931, 5008904, 19114491, 41396607, 39902837, 22717768, 7805551, 71400055, 40582900, 78707398, 74621554, 49757387, 158172916, 8385885 ], [ 19594632, 46317714, 62384510, 22543064, 136245013, 84316290, 81223123, 107725003, 38002792, 113450913, 40444112, 56752783, 71615469, 21677042, 147782651, 41574475, 89740033, 34245900, 5312691, 117732048, 14024106, 41601143, 10657919, 70237298, 15072477, 43176167, 1271261, 13627799, 85673659, 21147669, 8933321, 45632430, 130629805, 19490018, 9919743, 34571402, 66556052, 159781768, 21372362, 24544053, 10896384, 34708374, 5606783, 51390113, 29028061, 5564078, 46963576, 13846716, 14335983, 34684329, 26014536, 45708483, 65280390, 28863318, 45390288, 49926021, 112155161, 48528190, 14648640, 109536155, 187409254, 12155025, 32872819, 48164330, 14845455, 19236762, 90060050, 11729070, 30774527, 8937545, 153961679, 36500614, 56315014, 12467909, 99258427, 4841022, 687837, 10226322, 19353368, 26225179, 117245135, 629887, 24766906, 132421896, 8841244, 23974405, 112198850, 47957394, 50538572, 20400670, 28854300, 7492623, 112610509, 19222845, 23155834, 83068595, 33771306, 43573138, 249473552, 26937213, 115114931, 20750624, 64410245, 153698641, 107287537, 17650809, 10328263, 43313435, 26093144, 98398162, 47548805, 133559574, 8928103, 67528546, 229108511, 226901, 14187457, 9219250, 82681547, 31463377, 32182005, 9234416, 6464083, 49486636, 84680477, 65231801, 13486249, 23188207 ], [ 224415304, 38167608, 39960801, 56953221, 136245013, 7829423, 63043790, 117250155, 11338106, 150264207, 33741451, 26003931, 71615469, 8339888, 4413105, 21736456, 18518610, 114091769, 5312691, 6595451, 29984501, 113358189, 52292132, 34088334, 2438624, 13176388, 9823384, 13627799, 132501144, 21147669, 108240870, 1583679, 20462013, 19490018, 9919743, 6198696, 92024366, 51363546, 14852364, 32965629, 100053930, 7658704, 84751845, 25169042, 1309436, 10151165, 31705543, 47930503, 44778521, 85786520, 26014536, 78383290, 12789386, 49755262, 45390288, 10654555, 63710292, 28243116, 70756079, 34069127, 239295322, 51921857, 32872819, 84642404, 8478747, 8767110, 111780021, 53716457, 50326426, 11128502, 89756829, 282060259, 104330210, 12467909, 41405556, 116247650, 131388203, 10226322, 44841138, 7147687, 14601617, 51068483, 65278099, 42107305, 12184028, 23136344, 23188495, 103171910, 36523646, 1269015, 20802, 7492623, 15382570, 30062590, 57599499, 5232805, 195672368, 43573138, 82813620, 139996173, 230229339, 17767434, 21893811, 2842731, 20746325, 42055225, 6777174, 106997336, 31620888, 66116045, 31533926, 48360882, 1250663, 97001799, 86784190, 12788432, 69370192, 1456033, 44781353, 10524672, 7805551, 19332191, 6464083, 28196801, 102783839, 51706520, 100861008, 8385885 ], [ 29332804, 97085922, 91521943, 43163193, 136245013, 7829423, 157367015, 107725003, 11338106, 88777570, 33741451, 66363995, 65498852, 8339888, 116293349, 15234823, 111046192, 21904040, 6662784, 67302684, 34747054, 83754180, 40985255, 34088334, 32404941, 84578863, 1271261, 13627799, 4139590, 9811063, 80691168, 9423297, 28190702, 19490018, 9919743, 36446164, 118469328, 21224022, 86999431, 125118657, 42147465, 19494935, 11857120, 84396464, 56922905, 5564078, 32313444, 5528881, 26174621, 34684329, 46221906, 45708483, 14323598, 66618621, 63879505, 13802806, 105846592, 119152954, 11163758, 35416686, 44224129, 12155025, 148215423, 139914702, 35286264, 137077539, 10574637, 20876282, 5653064, 11128502, 35910822, 68275402, 26179740, 12467909, 117160094, 43492965, 687837, 10226322, 119804992, 1081391, 35219218, 30477930, 36793278, 120483020, 5633180, 23136344, 13431390, 134674203, 46250371, 73828439, 20802, 7492623, 15382570, 19222845, 20286424, 5229812, 63781119, 43573138, 34881830, 38532211, 49450810, 9498304, 48659214, 33373381, 100601120, 2904225, 10328263, 14063028, 60066507, 94194490, 19902972, 133559574, 34900327, 1164866, 111102866, 17911957, 77527524, 41396607, 24346444, 21748028, 39577292, 2787997, 6464083, 30294394, 56094515, 85371023, 54663602, 8385885 ], [ 115553475, 13262061, 91521943, 80487212, 60614589, 38081745, 17837375, 61353229, 11338106, 31114815, 119367130, 25903025, 71615469, 92644678, 124769759, 246589274, 148249129, 195209061, 14248063, 128972561, 69861726, 116153520, 40985255, 233575, 116257715, 117016792, 50778710, 13627799, 58822219, 21147669, 3901026, 1452202, 92420806, 84314686, 9919743, 102605180, 104777966, 21224022, 86999431, 26723723, 36108440, 4516813, 54494969, 124972417, 43195851, 26757336, 172149563, 5528881, 84387194, 78224680, 127160588, 14425979, 51243350, 128477812, 16043503, 10654555, 20533806, 1805072, 11163758, 37539156, 214632317, 2371497, 166247101, 59464778, 14845455, 180195102, 94500381, 59124870, 153109949, 11128502, 93913472, 104722467, 90459141, 10346753, 128205993, 95140858, 22513515, 10226322, 19353368, 68219529, 73862425, 46523739, 93224471, 26410859, 48737309, 4804257, 49221285, 123950937, 48669013, 98086766, 191962791, 7492623, 53375586, 19222845, 19157648, 5229812, 5674697, 43573138, 160930946, 26937213, 138111909, 269899419, 64410245, 28666453, 9594562, 115582686, 102658799, 32738777, 95185327, 28840007, 18665536, 71336515, 34900327, 110223956, 41599599, 77874438, 84096321, 41396607, 19888394, 90507478, 32182005, 25041777, 63384229, 162490566, 70979084, 144915952, 57156642, 8385885 ], [ 224415304, 7819725, 91521943, 109138232, 119583545, 84316290, 81223123, 7320926, 47429823, 71233753, 15576922, 45541655, 71615469, 154045893, 57273016, 21736456, 45960502, 148363555, 86689388, 15163429, 29984501, 353088445, 54507159, 385105153, 17271424, 47168326, 1156155, 13627799, 85673659, 21147669, 85262449, 70712698, 30480996, 19490018, 9919743, 15893949, 7728598, 150539085, 42945998, 137869995, 10896384, 124550739, 98787651, 63822203, 18086601, 114267367, 46963576, 79463455, 89261922, 85786520, 26014536, 87331021, 161036725, 67955405, 27352071, 1184902, 63710292, 74767847, 14648640, 32460033, 64124675, 32416407, 33395442, 48164330, 14845455, 38598971, 110304335, 20876282, 21364041, 11128502, 26465666, 35655366, 104330210, 10346753, 137897006, 8928777, 2186367, 10226322, 95255415, 108979105, 334235957, 83175160, 24766906, 26410859, 33774110, 23974405, 187569740, 63061736, 68924685, 30666737, 1888292, 7492623, 112610509, 19222845, 120181579, 88499034, 65002675, 35536884, 70365403, 26937213, 369493014, 125474924, 39741084, 44385067, 56046697, 67723193, 189336253, 199328976, 271263108, 356369154, 22025713, 151259815, 8928103, 194734734, 41599599, 77874438, 3207842, 30194707, 50998027, 90507478, 21759941, 52548562, 6464083, 226294482, 126163014, 166270172, 513671920, 63632604 ], [ 124199332, 83328899, 40784741, 103754520, 2079659, 7829423, 35602426, 5794009, 11338106, 75644529, 33741451, 34610107, 71615469, 42278554, 87893983, 138148346, 98507634, 1320109, 11243496, 164281807, 80640949, 145340171, 31995815, 15164954, 101437440, 16166915, 15212823, 13627799, 16132897, 21147669, 33422527, 17945446, 13192576, 19490018, 9919743, 36446164, 7728598, 90589342, 86999431, 77084208, 21831225, 22436531, 11857120, 63822203, 64752434, 1384189, 2512961, 37916518, 279882807, 81397708, 224162709, 33810309, 7060369, 11295245, 67758310, 1184902, 123346114, 53769307, 14648640, 97524761, 82303781, 66316249, 16583842, 48164330, 14845455, 50906345, 110304335, 13989391, 17798266, 11128502, 26465666, 104722467, 90459141, 12467909, 53293382, 705943, 2186367, 10226322, 39295238, 91302664, 128234023, 83175160, 24766906, 90155754, 33774110, 4804257, 71798648, 79887474, 68924685, 30666737, 28854300, 7492623, 8702321, 19222845, 19157648, 97884575, 30771320, 12794280, 42073316, 26937213, 112635872, 79870237, 50865195, 114835017, 9594562, 94160696, 11141885, 154917434, 3582241, 286746909, 22025713, 44034683, 71167972, 56758965, 149743218, 71561743, 3207842, 41396607, 71690795, 20672213, 72384762, 31954784, 6464083, 49486636, 66514234, 895863, 299198809, 8385885 ], [ 135551061, 97085922, 91521943, 109138232, 12421527, 147904217, 349176239, 281574122, 11338106, 111941412, 119367130, 45541655, 71615469, 37073471, 59427941, 256542786, 77397723, 9745580, 75235101, 166066043, 80307134, 113358189, 54507159, 27454299, 82651036, 43176167, 25679113, 8874972, 27774062, 21147669, 29119004, 187264413, 92420806, 47000877, 9919743, 22598478, 89979232, 90545208, 86999431, 194479144, 188043164, 128252841, 11857120, 71133906, 1309436, 108704991, 170764325, 59332556, 102949115, 121952856, 140425752, 18965667, 51243350, 204798582, 47110452, 1184902, 98932246, 131914383, 11163758, 186875839, 157938786, 125579921, 166247101, 74046888, 222165366, 74830968, 131606927, 75943062, 158975681, 11128502, 26465666, 395267933, 156246820, 272079305, 390188890, 8928777, 210188509, 642309552, 169109617, 167507113, 75914909, 176068714, 15319916, 467510633, 557530138, 48284135, 43319394, 143590005, 68924685, 30666737, 264310813, 7492623, 80105262, 19222845, 264493512, 105752443, 62659358, 43573138, 27524355, 261804494, 492291246, 73644813, 64410245, 56369421, 165357810, 274317386, 33234545, 291557581, 412040447, 66116045, 147594662, 133559574, 102252771, 23255725, 296874181, 77874438, 147125282, 10451778, 18050038, 24978941, 105179096, 67476139, 41545619, 105651113, 104069106, 150459337, 183648095, 8385885 ], [ 19594632, 13262061, 91521943, 64010206, 136245013, 270127773, 81223123, 88185506, 11338106, 371201312, 19436251, 33032286, 22757081, 21677042, 180966442, 477406369, 89740033, 148363555, 69181573, 131129715, 29984501, 113358189, 54507159, 34088334, 370927, 43176167, 50778710, 31043805, 27774062, 21147669, 182484876, 40406703, 33744510, 19490018, 9919743, 36446164, 89979232, 239543388, 53513690, 194479144, 133136688, 124550739, 11857120, 110307916, 1309436, 37449118, 96557304, 59332556, 84387194, 85786520, 26014536, 18965667, 194401198, 128477812, 67758310, 86751626, 179471924, 104382147, 134416530, 129046407, 239295322, 46481541, 33395442, 74046888, 430379235, 98663173, 131606927, 107795212, 30774527, 11128502, 81048222, 134418637, 104330210, 12467909, 137897006, 76258876, 129486433, 380982373, 145075117, 167507113, 334235957, 19213264, 15319916, 140116245, 71345950, 4804257, 129032368, 34969278, 74453127, 164468550, 28854300, 7492623, 53375586, 19222845, 23155834, 5232805, 51448301, 43573138, 178759996, 53249682, 128594277, 203664222, 64410245, 56369421, 165357810, 136739244, 38076923, 147366104, 3582241, 48503409, 8198026, 75701222, 1250663, 23255725, 37542398, 77874438, 90797639, 373464588, 28110601, 90507478, 7440492, 65489594, 6464083, 105651113, 12114064, 121850242, 467360710, 8385885 ], [ 69130284, 83642228, 76144064, 153078063, 3407888, 7829423, 138825044, 71232612, 17370245, 84840469, 108801424, 74243328, 8799657, 29888653, 50053741, 257237967, 148249129, 98901243, 43663793, 67302684, 69861726, 113358189, 54507159, 13165614, 101437440, 18067049, 146350170, 5889911, 85673659, 21147669, 49814184, 9444588, 13192576, 19490018, 9919743, 15006975, 209660942, 25269060, 82889921, 29478518, 60114079, 21299284, 11857120, 97182845, 1309436, 10933390, 72525756, 5528881, 17323077, 34748935, 184547123, 53575456, 161036725, 88613833, 2121964, 81198396, 26847428, 7865970, 412715695, 40026291, 318742830, 12155025, 117914850, 74046888, 172392454, 23408616, 110304335, 20876282, 5653064, 11128502, 81048222, 48959813, 73522015, 12467909, 30828812, 76258876, 131388203, 10226322, 16064167, 7557390, 182481186, 48006655, 27386653, 66745399, 123737757, 23136344, 13431390, 94232989, 48669013, 127999213, 28854300, 7492623, 92676371, 19222845, 60854711, 29993867, 27715780, 43573138, 70365403, 105319028, 72454346, 61461740, 64410245, 28666453, 1213477, 76019322, 62789107, 133761816, 211517595, 48503409, 8198026, 58846757, 34900327, 70427007, 303024978, 77874438, 123359600, 1456033, 82681547, 91462030, 47427239, 71400055, 6464083, 173226682, 112798410, 65231801, 35187146, 23188207 ], [ 44033231, 28664866, 154190, 85872254, 3882449, 88044602, 81223123, 71961339, 54056093, 95294059, 119367130, 39166766, 12711568, 31786303, 55628023, 155426190, 40855158, 44778422, 82549228, 50333601, 29984501, 46042705, 54507159, 16439853, 3555518, 21434280, 49385758, 46274253, 4139590, 21147669, 90105736, 30479417, 37924836, 6952233, 9919743, 6019223, 58231653, 88427717, 111586645, 77947212, 75715173, 39668587, 11857120, 124972417, 64752434, 10151165, 76710879, 33027000, 83207889, 43741075, 26014536, 36602426, 51243350, 11660676, 98129014, 22160100, 42397331, 122978465, 11163758, 99788052, 10098227, 93255410, 33395442, 32744536, 34247476, 178345831, 110304335, 18481749, 65801535, 11128502, 24161176, 20373084, 79637443, 1839938, 55101405, 64300191, 133337311, 62078491, 145075117, 19249411, 38633454, 97212073, 60195833, 140116245, 132605470, 23136344, 202251454, 65933766, 52984891, 1660998, 191962791, 7492623, 23401976, 19222845, 31624803, 44430424, 9206586, 43573138, 8006431, 10093276, 37299675, 36104330, 22173503, 71747420, 9594562, 69516744, 9360262, 9496151, 12136171, 20602581, 31533926, 133559574, 34900327, 42725679, 162901039, 1662263, 221657, 9219250, 67320203, 51565532, 7805551, 10232285, 85358323, 83662980, 57798446, 34901037, 54663602, 82023210 ], [ 143361055, 13262061, 20551867, 64949304, 33277103, 93134198, 54149084, 10728620, 11338106, 43540580, 119367130, 10134689, 16948464, 63070458, 36634874, 24380805, 54976754, 148363555, 36161704, 67302684, 29984501, 88397266, 7097485, 34088334, 15072477, 43176167, 17558543, 31043805, 28364289, 9811063, 18764333, 30479417, 33744510, 53808803, 9919743, 107832548, 33331318, 39433675, 23580742, 6255184, 95803381, 74514401, 54494969, 124972417, 23305849, 47532561, 25188003, 102358300, 79187697, 79404631, 26014536, 87331021, 15119195, 67955405, 18959152, 13802806, 62931609, 153839312, 11163758, 90923096, 64474081, 134747219, 33395442, 74046888, 180005608, 49373759, 9199391, 116873020, 30774527, 11128502, 94932526, 89059169, 26179740, 20330484, 86380955, 69681164, 80724189, 61500810, 53723010, 26225179, 73862425, 629887, 54757914, 57841356, 64355996, 23136344, 45615842, 34969278, 66078869, 179455, 2038798, 7492623, 8702321, 108569573, 8232732, 5229812, 63753642, 10584785, 58607856, 7670452, 31953348, 22447868, 39741084, 132992065, 9594562, 96769619, 33234545, 137034153, 45380486, 81377413, 111978330, 17913430, 34900327, 173492328, 130891160, 17322688, 82300461, 36540690, 1260411, 90507478, 16836987, 199040537, 42767110, 12797032, 262102959, 77459056, 100861008, 8385885 ], [ 109617484, 75324996, 91521943, 64949304, 29125845, 270127773, 81223123, 87779152, 11338106, 111941412, 38036421, 69354034, 71615469, 63070458, 2023240, 69899350, 10545885, 124285051, 5312691, 10070387, 29356258, 87131110, 52292132, 34088334, 15072477, 43176167, 17558543, 8874972, 27774062, 9811063, 3925518, 11282436, 92420806, 19490018, 9919743, 36940399, 140274632, 12330597, 86999431, 36700884, 83883937, 211981369, 19033455, 108193503, 196409804, 181581527, 6851814, 129919605, 79187697, 65738838, 2039442, 11741199, 24439858, 21139736, 47110452, 13802806, 62931609, 164215030, 165071725, 97694754, 20167689, 163526627, 33395442, 74046888, 128747422, 23458859, 9199391, 8461208, 5653064, 11128502, 4212940, 30585461, 26179740, 12467909, 86380955, 89723313, 54285072, 59158499, 145075117, 3400982, 160852422, 165896993, 24766906, 140116245, 12184028, 23136344, 310755821, 143590005, 12596429, 5362144, 28854300, 7492623, 53375586, 16402299, 79091183, 5229812, 23744188, 43573138, 3814559, 81208466, 72454346, 14524252, 39741084, 71747420, 69695486, 42055225, 6492944, 137034153, 63338030, 81377413, 60361613, 35646354, 34900327, 58672491, 218255046, 20927397, 56230125, 41396607, 24346444, 10685536, 93946636, 54314133, 6464083, 81277898, 17231268, 10598187, 64737594, 8385885 ], [ 20355458, 38167608, 91521943, 85872254, 136245013, 88044602, 81223123, 55181886, 11338106, 48784802, 151853792, 58519521, 152501477, 63070458, 57273016, 58384851, 36090254, 597569, 14248063, 138673085, 29984501, 104300478, 54507159, 34088334, 84389921, 2475601, 50778710, 34764970, 27774062, 21147669, 182484876, 30479417, 5122576, 125799505, 22427269, 36446164, 85660278, 6977656, 86884185, 64448995, 75715173, 16419540, 11857120, 31729663, 64752434, 10151165, 76710879, 59332556, 212705378, 89121664, 26014536, 87331021, 246096465, 49755262, 67758310, 88293969, 62931609, 150389399, 75064139, 31897130, 239295322, 87534196, 33395442, 17439844, 316698105, 185257282, 9199391, 12512447, 63046026, 11128502, 140177897, 160583747, 79637443, 20330484, 19662603, 215810727, 162094443, 90699893, 44841138, 74104424, 155902283, 629887, 54757914, 45077948, 132605470, 23136344, 42282500, 143590005, 218531341, 73828439, 103900077, 1976638, 23401976, 209260086, 15727200, 177986462, 9138577, 23486189, 8006431, 118259672, 156622523, 218835269, 22173503, 71747420, 94803377, 60881301, 146392488, 21571738, 35164341, 81377413, 273378961, 133559574, 102252771, 13069568, 203422381, 54020692, 84096321, 134045925, 66785635, 45371508, 7805551, 76350134, 17832662, 78707398, 349853773, 120648827, 21267640, 8385885 ], [ 41668662, 11001766, 91521943, 107654771, 68797297, 21676487, 81223123, 4874288, 47429823, 14650532, 119367130, 55136879, 8799657, 65401774, 57273016, 42286843, 21521887, 1320109, 44708668, 138673085, 29984501, 183131299, 54507159, 34088334, 41384463, 46559750, 7304708, 46274253, 4139590, 21147669, 32318278, 23768020, 168067667, 2419340, 9919743, 107832548, 51787325, 12448949, 9985536, 178648611, 44288010, 124550739, 2411081, 23220631, 39853586, 53247670, 46963576, 33160135, 106576166, 9650350, 26014536, 48322024, 135329372, 4410400, 6319445, 86751626, 31986973, 6044690, 34178593, 108112636, 161055065, 35379752, 33261372, 57173112, 28367226, 4770883, 110304335, 20876282, 202047605, 11128502, 45071348, 75404950, 2585693, 11856924, 47104719, 75246313, 65833966, 457962844, 76316761, 19249411, 76332171, 35924575, 24766906, 17753272, 63830488, 23136344, 56588923, 62051243, 68021826, 73828439, 105489965, 7492623, 78426205, 19222845, 163961914, 5229812, 113461032, 43573138, 41613335, 18652677, 6187624, 40274437, 52840328, 42464866, 30339748, 150049881, 66991236, 115205480, 35164341, 94194490, 31533926, 18245555, 17980645, 75222315, 45340032, 77874438, 4778538, 24081625, 37044677, 66030399, 47528981, 36021202, 85358323, 78707398, 124456633, 166270172, 54663602, 58878140 ], [ 42188445, 73957937, 74388759, 23371577, 56975895, 7829423, 81223123, 2963064, 47429823, 25782497, 11836062, 7903368, 8799657, 43618328, 57273016, 2714189, 14452629, 10053466, 4666008, 12230160, 29848094, 52662206, 54507159, 34088334, 8151623, 23604150, 26468430, 39720231, 15008200, 9811063, 90105736, 30479417, 30480996, 2419340, 9919743, 41163899, 5698647, 33221467, 23580742, 37153598, 14789143, 28262806, 16118041, 1795485, 28807494, 19251848, 46963576, 33027000, 22152585, 52133795, 26014536, 23134845, 12789386, 27015611, 74241463, 13802806, 55492492, 500064, 11163758, 17090967, 18907541, 74787649, 11447161, 34955791, 17360678, 8767110, 70797506, 15611574, 16242110, 11128502, 65328834, 1921389, 26179740, 12467909, 55101405, 3749751, 52492171, 12703603, 2203688, 26225179, 128414583, 19213264, 24766906, 17753272, 25004317, 14097842, 4519966, 34969278, 9535770, 18769655, 28854300, 5193768, 29804875, 19222845, 25784813, 5229812, 16682568, 16829863, 8006431, 23172453, 6187624, 6227883, 48630889, 13618800, 72897046, 58838564, 1436212, 7617984, 35164341, 92640119, 22496294, 16284884, 19194469, 24390536, 27764108, 29751085, 14187457, 134744943, 19459672, 2900635, 1819671, 37227739, 6464083, 32373667, 80561107, 67233881, 39011870, 8123156 ], [ 129763488, 13262061, 26643734, 77907520, 35372164, 40363830, 140214118, 10728620, 110370818, 168223804, 24742786, 74243328, 71615469, 98244051, 285126274, 21736456, 35635354, 61864217, 373844343, 78518123, 69861726, 47585230, 54507159, 16439853, 14533353, 115585861, 9823384, 37477818, 85673659, 21147669, 114124290, 14104276, 33744510, 19490018, 9919743, 15893949, 71870895, 52916695, 9985536, 194479144, 101673059, 18823905, 54049957, 1795485, 20220556, 10151165, 96557304, 142902414, 27658597, 85786520, 26014536, 10030682, 51243350, 49649876, 98129014, 11735842, 103045746, 75901300, 11163758, 7096110, 278130758, 36211929, 166247101, 4081438, 2412463, 4770883, 131606927, 48435405, 91409127, 11128502, 65127504, 3453250, 14400624, 12467909, 105449809, 41051523, 137862834, 10001785, 131913687, 19699909, 34174321, 19213264, 38924517, 8889224, 25004317, 35296671, 11496746, 34969278, 123851459, 73828439, 28854300, 7492623, 23401976, 19222845, 25784813, 141875621, 242640728, 4582881, 383046797, 32185739, 83262115, 1275801, 22173503, 154933537, 20196655, 30180049, 21438472, 10682196, 102411638, 33265936, 31533926, 21710698, 17980645, 45224646, 23536374, 6342424, 34783453, 135279616, 3198598, 34438843, 7805551, 9601057, 6464083, 32373667, 72350158, 102380668, 104040177, 48756787 ], [ 21192448, 174230517, 91521943, 83719253, 136245013, 7829423, 140214118, 269223761, 11338106, 8550380, 151853792, 74243328, 64692667, 59370111, 375353195, 192486098, 73125700, 223238946, 26166496, 277461743, 459486177, 187092915, 52292132, 34088334, 130121943, 43176167, 17558543, 159392171, 141616744, 21147669, 48867683, 80298806, 92420806, 111280347, 9268760, 174809393, 154444328, 93920795, 15105775, 36700884, 58481843, 14261, 54049957, 94848182, 62445135, 53247670, 16984205, 145062040, 66080525, 186772959, 220901066, 74528817, 246096465, 232049300, 98129014, 37034854, 48212736, 30520751, 14648640, 16330527, 2470016, 26004910, 2886794, 48164330, 745699, 82793130, 131606927, 96786494, 104121289, 11128502, 47738403, 33490833, 109093678, 28358421, 53061496, 75246313, 25886075, 120180584, 79283957, 77314690, 160852422, 1533745, 38924517, 210790055, 64106011, 23136344, 192082432, 104721923, 35901352, 164468550, 136621612, 7492623, 131013847, 292038022, 31636704, 13892317, 37119810, 43573138, 90706319, 310801574, 251582958, 79870237, 42410573, 110921361, 50588389, 134968746, 19570961, 145603465, 35164341, 116409939, 50191758, 77166866, 61107429, 85831738, 189750725, 77874438, 14187457, 32252360, 65373577, 40911325, 100733808, 58363570, 42118024, 78707398, 72350158, 41984020, 86532592, 8385885 ], [ 10534082, 90161977, 91521943, 80487212, 68797297, 39623665, 357255323, 244372130, 11568794, 149683394, 94819122, 74243328, 382786066, 59370111, 61860283, 4605955, 259690407, 148363555, 54800503, 21811876, 69861726, 204617165, 54507159, 92954559, 71670348, 124065541, 147914446, 159392171, 4139590, 21147669, 145809542, 130652369, 28190702, 2419340, 209168623, 134206323, 85660278, 93920795, 208418226, 88624977, 44288010, 13424672, 49905013, 124972417, 251836186, 27484692, 147594946, 5528881, 158281515, 136313670, 15660251, 110490243, 185557862, 397982910, 2219404, 66409046, 162733706, 70360735, 14648640, 16330527, 144405045, 96510512, 33261372, 48164330, 463325686, 23458859, 31291139, 521793474, 74811279, 11128502, 140177897, 73698525, 109093678, 13752420, 20588532, 29034, 129678338, 376622089, 95255415, 19249411, 25861665, 26621193, 11914058, 152145799, 371790041, 23974405, 143989921, 28151729, 48669013, 45315856, 351269832, 74663741, 191273026, 215275514, 119176544, 140188466, 29930575, 43573138, 114793140, 81208466, 278957034, 236075823, 51029709, 33373381, 100601120, 2904225, 14934828, 209831492, 35164341, 106069608, 148806342, 143970678, 62702179, 127466728, 54464981, 77874438, 4778538, 115339537, 125689619, 66030399, 45014761, 36992373, 15840429, 78707398, 207837016, 306723803, 54663602, 158189237 ], [ 77218782, 13262061, 20551867, 26799884, 136245013, 7829423, 34444996, 10728620, 31816588, 60224892, 272874926, 28429720, 12975026, 15543686, 12809285, 47815017, 18518610, 148363555, 6150042, 12230160, 1549220, 152078517, 45201766, 1526538, 8151623, 285087, 5164034, 44561754, 4139590, 9811063, 17851763, 48525486, 13192576, 2419340, 7603521, 115881281, 102759645, 33221467, 15322229, 15027481, 60605228, 74514401, 49905013, 4765507, 116916718, 926408, 17429274, 11190101, 12123139, 71017003, 26014536, 13595975, 12789386, 20368534, 317852, 13802806, 3645168, 43035507, 14648640, 14786749, 35485214, 6417839, 33395442, 48164330, 143703728, 23458859, 77986125, 20876282, 25329720, 11128502, 30997187, 77618214, 4760458, 13189681, 99607073, 75246313, 16255821, 43988455, 45844492, 4062897, 49030490, 19377587, 24766906, 42262263, 94396060, 23974405, 4519966, 65859679, 17291259, 73828439, 1357031, 7492623, 77572742, 6362173, 20286424, 5232805, 37119810, 6371671, 42197239, 62597714, 42362674, 22447868, 7145079, 70689822, 36468319, 2008629, 2331077, 43313435, 26093144, 68911876, 26595740, 73509070, 61107429, 24390536, 73458073, 66124152, 14187457, 9219250, 24346444, 66030399, 51613150, 44399610, 22032563, 38195490, 78854301, 1832243, 13486249, 119755320 ], [ 122303699, 97085922, 43944885, 220100695, 136245013, 7829423, 6300175, 76960554, 11338106, 300846091, 146051349, 74243328, 12314644, 93149972, 71027825, 32906937, 270219179, 217866367, 435357267, 281560283, 108667149, 88414247, 54507159, 167079541, 101437440, 47168326, 104428031, 46274253, 36979083, 9811063, 36342808, 92473079, 92420806, 119378986, 9919743, 5913654, 15948992, 336527362, 42903468, 65879175, 5680373, 435211486, 31578770, 124972417, 239972320, 54717488, 46963576, 127497359, 135271915, 72778389, 127730656, 87331021, 105165141, 211551143, 17366602, 13802806, 93831957, 166426060, 14648640, 168902627, 37021976, 163526627, 8253304, 47980771, 123076301, 112423991, 107754139, 20876282, 60730647, 11128502, 415249929, 218409536, 2024790, 23540961, 76814743, 77475321, 142157452, 75265123, 95255415, 22627078, 208530050, 10158467, 24766906, 63985335, 38756631, 23974405, 107514303, 22110757, 17179134, 73828439, 207822577, 7492623, 60827606, 19222845, 32685904, 5229812, 198908481, 43573138, 46980226, 47319598, 83262115, 22447868, 64410245, 44022739, 115294007, 256379872, 160122026, 237598572, 20978827, 59880226, 16988394, 152283894, 691681, 194919342, 67097899, 11926867, 14187457, 174477153, 24346444, 94962878, 171961487, 124192045, 9302163, 5899393, 98958319, 1832243, 165462191, 8385885 ], [ 63235793, 22529708, 43139594, 87277160, 43874575, 7829423, 43338609, 64099068, 104357601, 40189426, 113676214, 68596474, 71615469, 373330384, 232818513, 355900270, 104664120, 342717565, 61898119, 128972561, 274219147, 173777464, 54507159, 34088334, 1830157, 43176167, 113563292, 8874972, 5083551, 21147669, 182484876, 248981253, 24847453, 435072223, 9919743, 64629530, 178105980, 200810336, 85749939, 82710649, 60605228, 14261, 49905013, 124972417, 140478244, 181581527, 136829807, 5528881, 66080525, 200932652, 110030795, 74528817, 39235449, 22115510, 47110452, 29246001, 138596639, 61674512, 83001503, 294779666, 2470016, 48287149, 38504136, 48661727, 745699, 152204219, 131606927, 180556570, 36603489, 11128502, 154327913, 108595690, 349597516, 48160277, 204992577, 66013329, 234830334, 4232416, 169109617, 1081391, 194619951, 156045941, 334479146, 4420550, 269793496, 23136344, 143989921, 134674203, 48669013, 115350400, 9736725, 7492623, 75078408, 19222845, 18896840, 65146730, 150493871, 43184542, 37295536, 11042749, 239068953, 9498304, 64410245, 28666453, 165357810, 4696912, 47583747, 65952677, 134974084, 3674981, 31216632, 70875298, 108892514, 259420844, 89185358, 77874438, 123359600, 26257979, 162226585, 94962878, 51613150, 67476139, 142662399, 273976037, 11770568, 41984020, 86532592, 55895096 ], [ 108414334, 11923145, 132407122, 71795229, 4732274, 270127773, 128179159, 24077093, 276526592, 71013518, 88943894, 15079929, 13688128, 59370111, 223551612, 13112516, 104664120, 46153889, 32514261, 56392526, 5963985, 118009155, 54507159, 34088334, 67480839, 96244558, 4418051, 8874972, 36979083, 9811063, 108115314, 30479417, 39949637, 67920285, 9919743, 22598478, 43097102, 11901413, 53354759, 65879175, 19364202, 87921453, 54049957, 1795485, 55324866, 181581527, 96064311, 5528881, 102949115, 98014582, 26014536, 66838840, 78451727, 34874909, 47110452, 10654555, 89672836, 8221730, 49855390, 16330527, 189633625, 163526627, 118450694, 35071989, 9997634, 85925219, 98935015, 77443276, 60730647, 11128502, 22704879, 47626225, 26179740, 23540961, 72966863, 250436085, 148531036, 87277172, 19353368, 220942899, 45404420, 142329247, 114630976, 4420550, 25004317, 23136344, 192082432, 92190749, 48669013, 73828439, 69775, 7492623, 71825632, 19222845, 264493512, 76303277, 205738817, 43573138, 25298714, 104853396, 22953946, 22447868, 64410245, 33373381, 18629613, 4449624, 17516087, 39802950, 152394221, 49044164, 163368516, 40641522, 951905, 85561760, 53293594, 42115646, 64456563, 174287250, 24346444, 4568447, 10094996, 67476139, 137417374, 94434036, 189640022, 49757387, 57156642, 12517399 ], [ 155693468, 97085922, 47845851, 71795229, 15213372, 7829423, 140214118, 147990197, 212813808, 81188546, 293018423, 74243328, 71615469, 59370111, 51801318, 113746712, 513115232, 35103738, 51287163, 88379036, 69861726, 168038899, 54507159, 34088334, 81649881, 43176167, 36007177, 8874972, 85673659, 21147669, 182484876, 175897623, 39949637, 272245920, 9919743, 326111686, 85660278, 11986853, 89923281, 88048524, 161630182, 19494935, 49905013, 83719085, 112968001, 53247670, 84757146, 36292908, 102949115, 231166754, 284956100, 314503122, 146891809, 120683210, 47110452, 414750402, 179471924, 71019915, 14648640, 16330527, 123106573, 5899465, 126593497, 48164330, 189214701, 152204219, 3148072, 126646378, 120343776, 11128502, 47738403, 73698525, 104311314, 22062376, 17857116, 75246313, 137862834, 97173779, 95255415, 93893446, 14601617, 156045941, 36793278, 152145799, 36497374, 23136344, 143989921, 84534261, 223189329, 138806871, 136621612, 7492623, 80374169, 19222845, 18896840, 48594798, 212399537, 43573138, 133117774, 49412346, 117538686, 15201803, 64410245, 337965388, 165357810, 119196628, 74355201, 55990207, 20953012, 49044164, 16988394, 191725, 54272099, 259420844, 15882741, 77874438, 14187457, 228507841, 65373577, 66030399, 112368064, 63207095, 142662399, 129728018, 43599390, 92160008, 71912535, 13783201 ], [ 68369946, 65502159, 91521943, 77907520, 35280628, 117181016, 149066583, 92093921, 47429823, 81188546, 9950689, 21785429, 84520594, 307610120, 57273016, 22663355, 36090254, 37588023, 332661810, 28941804, 155369916, 46042705, 54507159, 15975899, 32404941, 42886295, 266535616, 226811945, 4139590, 21147669, 108115314, 35171608, 32461260, 86439671, 22427269, 180270267, 21820846, 46989906, 33784951, 132388146, 30038884, 9182292, 125289231, 95910681, 239972320, 89171718, 46963576, 5920993, 212705378, 52133795, 81055036, 44936955, 45328380, 67955405, 74241463, 10654555, 55492492, 195371164, 14648640, 9856796, 288537433, 23943537, 57809846, 3749366, 77097147, 23458859, 55101463, 116873020, 60730647, 11128502, 30997187, 347360294, 31083251, 8095366, 377412115, 69130838, 41809024, 62078491, 5926155, 19249411, 1937790, 46523739, 24766906, 5961514, 6724248, 23136344, 89624328, 92190749, 52424576, 73828439, 163805540, 5193768, 47854487, 19222845, 99686053, 48594798, 47946239, 43573138, 86805432, 22605846, 35034720, 15201803, 64410245, 136217784, 67712136, 10148911, 160122026, 191019416, 7958284, 208282623, 9560307, 191725, 8225760, 13069568, 53464862, 77874438, 14187457, 98162149, 76497631, 34438843, 65437693, 67476139, 151837991, 6968384, 228047886, 67233881, 9347264, 13783201 ], [ 18021975, 97085922, 91521943, 43746195, 15521418, 52932489, 42310943, 30157976, 47429823, 81188546, 22697464, 34518685, 156069575, 98244051, 57273016, 100662609, 36090254, 44778422, 21654249, 564141, 29984501, 58071436, 54507159, 34088334, 23371248, 43176167, 70439458, 46274253, 11211237, 21147669, 56381870, 215791435, 44382301, 40032663, 22427269, 26094134, 123783147, 90589342, 54258616, 64448995, 83303806, 17280545, 54049957, 52687771, 141293504, 153062556, 46963576, 115971514, 7617318, 75083965, 2517725, 87331021, 51243350, 49649876, 5425376, 122424808, 75648262, 6044690, 11163758, 31897130, 61606123, 23943537, 33395442, 23556993, 28367226, 32473621, 70439477, 20876282, 63046026, 11128502, 58691418, 104722467, 114639029, 71016383, 7722635, 51136416, 38975164, 71500726, 29660403, 35116609, 51738320, 26405033, 24766906, 39497832, 17520731, 8426160, 131190754, 104721923, 109241603, 57914762, 40205379, 74765455, 194556284, 7222365, 26139271, 48594798, 9904138, 14586481, 48338188, 22605846, 83262115, 15201803, 42410573, 36786239, 65256811, 150049881, 160122026, 16737181, 35164341, 39156272, 168831380, 175235173, 48347238, 13069568, 124921937, 51261299, 14935790, 121821824, 17555255, 24949724, 65250478, 19352194, 67065931, 78707398, 124491763, 31146622, 39011870, 13783201 ], [ 72270168, 22529708, 91521943, 117514230, 40924872, 7829423, 81223123, 130453420, 140411280, 61000385, 115626044, 1616244, 71615469, 196835868, 147782651, 89088779, 105901672, 1320109, 2576077, 138673085, 29984501, 119767822, 54507159, 3483270, 21710163, 50818686, 224545812, 325756812, 23647385, 9811063, 98508259, 163368794, 25886878, 22878865, 9919743, 6340533, 63770353, 208491524, 110155120, 109689335, 122282160, 124550739, 88954935, 107106667, 239972320, 5564078, 99007065, 1002933, 99249481, 31194521, 26014536, 87331021, 181510725, 13392175, 26675367, 2284701, 98932246, 84306054, 14648640, 50332865, 11267373, 150536470, 33395442, 28434637, 25872681, 23458859, 120678411, 4898202, 36603489, 11128502, 79624677, 51545636, 26179740, 68226839, 20588532, 29034, 48982349, 4232416, 25449026, 53956192, 225823557, 127129720, 53163448, 13800938, 8841244, 1730144, 180990671, 116548344, 31459281, 11347502, 69689975, 7492623, 18968144, 19222845, 59640216, 35840946, 62058692, 33673721, 27056212, 81208466, 6496455, 5644033, 12279330, 9475620, 36005513, 66126466, 18398585, 26145033, 35164341, 61325488, 31533926, 152283894, 1250663, 42449850, 57633652, 12788432, 14187457, 9219250, 24346444, 21280434, 51613150, 39880734, 41212119, 78707398, 212983826, 11393980, 64737594, 20569385 ], [ 133767379, 30035454, 68189286, 176091960, 136245013, 43153553, 350873551, 56406950, 102662435, 71013518, 3134393, 37667793, 65689087, 13920403, 49382248, 36515062, 14831776, 15624503, 24808342, 30672394, 8608228, 38380178, 48304588, 146725858, 79409986, 105682097, 185546081, 209129946, 67213595, 21147669, 90105736, 196144079, 266716304, 182085510, 126871329, 15006975, 42541170, 68112369, 117761669, 194479144, 24095429, 149196458, 175215195, 124972417, 56922905, 159340643, 22831961, 59948328, 31732514, 254544421, 307795445, 92052254, 111822348, 52772735, 77475343, 261127833, 75770217, 64185138, 38478205, 37373580, 156340393, 269572699, 99520544, 23951579, 25872681, 61603067, 51659185, 12512447, 36603489, 11128502, 89636330, 64570389, 70173489, 118429636, 20588532, 53199481, 60974175, 4232416, 202824160, 53956192, 27092312, 104398572, 96843841, 23507974, 179762713, 149709297, 71250027, 119387731, 92841294, 40616298, 120813096, 69675868, 187196, 19222845, 15727200, 44916132, 67706453, 23010902, 34881830, 404238822, 36009588, 61461740, 64410245, 15381447, 165357810, 36643396, 146392488, 21571738, 118933817, 70879448, 146979354, 64233309, 20998242, 31420260, 15882741, 9483975, 48719828, 107331995, 36100775, 11520981, 10094996, 76350134, 157878091, 30294394, 72561466, 86728952, 200179630, 28598678 ], [ 1420552, 30035454, 9024081, 71004110, 136245013, 143782622, 16739610, 527077, 47429823, 139380751, 1373312, 39101763, 89014274, 97544519, 37339230, 18429975, 76141940, 148363555, 5312691, 12230160, 29984501, 46042705, 54507159, 1526538, 14849280, 285087, 36571946, 18140653, 10837950, 9811063, 29515901, 70712698, 22705191, 6952233, 27730956, 6340533, 140274632, 2362921, 5091215, 19421974, 1692936, 9182292, 114412716, 17925071, 7150152, 10151165, 29968857, 7162867, 81479756, 5791509, 26014536, 10015080, 142982744, 49755262, 74241463, 11735842, 6072511, 10967230, 14648640, 70766051, 11267373, 42485636, 33395442, 23951579, 92585533, 23458859, 51659185, 3934247, 94420609, 11128502, 24161176, 11950892, 26179740, 12467909, 20672687, 97539003, 142157452, 43988455, 50338537, 1081391, 118750294, 46523739, 24766906, 45077948, 12184028, 23136344, 18084668, 55460168, 6061460, 73828439, 28854300, 52469750, 23401976, 19222845, 51674359, 14346587, 127121026, 5639571, 105976239, 6026817, 60341589, 9498304, 22173503, 125162170, 37761538, 4696912, 81197310, 84200787, 34221970, 14506725, 31216632, 240288566, 34900327, 222425621, 87431066, 9483975, 14187457, 31934816, 24346444, 21280434, 7805551, 67476139, 6464083, 12797032, 72561466, 45297224, 34395922, 20569385 ], [ 4298335, 22529708, 91521943, 149213274, 33277103, 7829423, 157367015, 24139189, 47429823, 197949084, 151853792, 55136879, 71615469, 65401774, 110703301, 57887545, 31779127, 69607594, 51287163, 4697789, 83217922, 29508128, 48133062, 3483270, 186710977, 23604150, 7304708, 63918812, 23647385, 21147669, 182484876, 408863366, 130629805, 302525105, 9919743, 6340533, 85660278, 90589342, 107292296, 48807174, 161630182, 37226894, 16118041, 744442, 17613146, 129434014, 20554095, 116799643, 188376552, 85786520, 2596899, 38680821, 107252943, 116772898, 26888288, 28456575, 179471924, 126066123, 14648640, 279690392, 11267373, 48287149, 38504136, 16204944, 114479603, 126111477, 51659185, 144063915, 172050652, 11128502, 79624677, 102620064, 104330210, 118429636, 20588532, 116247650, 39107390, 103103507, 95255415, 87457349, 20931870, 207607721, 24766906, 26791723, 32908317, 23136344, 180990671, 143590005, 28965645, 148005474, 102649906, 7492623, 8702321, 44828973, 264493512, 59706112, 47957210, 15323433, 159342348, 32328827, 80789424, 6227883, 64410245, 92620743, 58610338, 94484605, 10328263, 26145033, 35164341, 150118051, 22496294, 152283894, 1135458, 42779730, 67308819, 9483975, 14187457, 24617844, 37044677, 21280434, 51613150, 67476139, 117498329, 4241466, 72561466, 4957152, 128595212, 20569385 ], [ 63235793, 22529708, 86932081, 290665843, 23014029, 32711496, 13880349, 24077093, 46175481, 420288850, 151853792, 55136879, 7434452, 65401774, 161821392, 89088779, 7619152, 148363555, 51287163, 4697789, 83217922, 66223794, 54507159, 3483270, 74844343, 47168326, 7304708, 9297054, 4139590, 15943822, 182484876, 1686558, 130629805, 449129717, 9919743, 6340533, 46177711, 33221467, 82843228, 194479144, 34107766, 37226894, 49905013, 124972417, 141293504, 129524648, 20554095, 116799643, 165146457, 223778508, 26014536, 134228059, 78451727, 62092515, 62212096, 29246001, 179471924, 71019915, 47697132, 179842748, 11267373, 48287149, 38504136, 107883610, 758187, 126111477, 120024304, 68142135, 74811279, 11128502, 19094705, 102620064, 49159993, 7435481, 3766318, 29034, 113491696, 92990750, 122855734, 19249411, 93647738, 156045941, 24766906, 94282760, 66958238, 23136344, 27109615, 143590005, 31459281, 221516429, 53095064, 7492623, 443929535, 19222845, 51674359, 10775889, 113461032, 43184542, 95166113, 153094241, 25234297, 6227883, 64410245, 114835017, 165357810, 94484605, 4403101, 26145033, 35164341, 83620982, 30923847, 26827882, 86622822, 11188965, 24842932, 12788432, 14691527, 272654332, 37044677, 21280434, 51613150, 50404181, 230975491, 78707398, 208043842, 22933236, 30821425, 20569385 ], [ 24568957, 97085922, 91521943, 27543629, 136245013, 60112497, 242114437, 281574122, 92583342, 233495439, 100341881, 74243328, 71615469, 508782688, 106825335, 89088779, 313113036, 62749042, 104293349, 138673085, 955235, 88262117, 54507159, 34088334, 5065100, 157410319, 65462617, 113151546, 76855942, 21147669, 182484876, 120073101, 130629805, 42707938, 9919743, 332735206, 89979232, 31444069, 73969883, 124245520, 38717991, 92862550, 98787651, 124972417, 130189672, 181581527, 99007065, 1465778, 148738755, 292181355, 26014536, 210509545, 51243350, 55269315, 44649058, 228073022, 24442330, 45064253, 11163758, 228820185, 66163271, 163526627, 82451291, 28434637, 327382688, 71043431, 32070630, 12512447, 26803841, 11128502, 41290858, 48959813, 258658760, 124072389, 33384915, 29034, 171126638, 207719043, 169109617, 49279826, 38633454, 167155196, 12545425, 393308380, 7835358, 23136344, 119891652, 143590005, 74453127, 146114980, 16377744, 7492623, 256398728, 19222845, 15727200, 102030805, 157134313, 43573138, 27056212, 38867682, 265012392, 115854557, 64410245, 52793063, 5910747, 36643396, 146392488, 21571738, 35164341, 340308547, 43458299, 143535440, 15506915, 8606757, 39972636, 40457437, 123359600, 176970714, 146705618, 94962878, 67509005, 152693696, 183488793, 16405461, 114872702, 38383293, 166599077, 158189237 ], [ 4933684, 38167608, 57791115, 135265314, 136245013, 32711496, 13110491, 2845926, 11338106, 58402977, 71647099, 34518685, 71615469, 163481336, 36634874, 63008251, 7913937, 139863810, 108875799, 87280704, 16982034, 49384157, 25690881, 1526538, 14533353, 285087, 16674892, 46274253, 28364289, 9811063, 32318278, 66377953, 52355039, 19490018, 9919743, 6340533, 102951028, 170815518, 76910149, 61987849, 14428897, 91359392, 98787651, 45341313, 39853586, 46947526, 18263058, 98960917, 166659656, 15148201, 26014536, 87331021, 39362456, 15889489, 20318599, 1166550, 86087257, 150389399, 11163758, 33823205, 207784451, 163526627, 62624645, 69828298, 28099212, 20074368, 100139302, 4267729, 6005507, 11128502, 18298946, 86028270, 2585693, 12467909, 56481889, 29034, 100297601, 42323640, 72262860, 79610944, 12325492, 176068714, 180760789, 14250187, 21883291, 55922034, 57954350, 97802999, 36523646, 40672145, 9736725, 7492623, 61543410, 2279026, 214075509, 5229812, 33887047, 43573138, 17408166, 81208466, 25234297, 22447868, 21893811, 132992065, 1845621, 87054816, 10420673, 135052284, 271263108, 94194490, 4452591, 18245555, 17448803, 75222315, 70190972, 77874438, 48268857, 373464588, 24346444, 22717768, 10094996, 67476139, 6464083, 162490566, 105351007, 43081569, 68695071, 6315096 ], [ 84167307, 30035454, 63911592, 162181344, 84104608, 6997763, 8497884, 83687780, 11338106, 8935080, 41247260, 74243328, 71615469, 20001407, 228638855, 97040366, 44870039, 44778422, 42310155, 35054864, 155369916, 145340171, 36837645, 1526538, 3474163, 285087, 104162020, 46274253, 11384301, 9811063, 22620492, 38606700, 92420806, 76451841, 6697216, 6340533, 17816694, 43491106, 40708943, 44465629, 25636540, 6727927, 37173693, 7873925, 7150152, 35587070, 22487531, 172442646, 16165162, 85786520, 26014536, 36602426, 51243350, 88163012, 20533082, 13802806, 45905306, 130374730, 11163758, 93772333, 10098227, 54963346, 60638287, 30119704, 12980648, 123772041, 51659185, 20876282, 54391440, 11128502, 93275311, 22902399, 26179740, 127415400, 135088470, 6464550, 27418283, 43988455, 169109617, 53956192, 5989126, 176068714, 40525522, 118192490, 5633180, 73621382, 38685115, 78549537, 31459281, 73828439, 40968224, 7492623, 20926578, 19222845, 24119561, 28353269, 9904138, 43573138, 90706319, 13894074, 41475264, 22447868, 42410573, 76427133, 1537447, 69516744, 77177965, 18248832, 11775402, 29184568, 29484907, 29269270, 5657575, 1164866, 19402893, 9483975, 46959930, 8305194, 19888394, 94962878, 83619264, 15179739, 53405214, 67371950, 72561466, 115487619, 32505446, 8385885 ], [ 407326892, 30035454, 91521943, 339020098, 125013236, 7829423, 417438507, 135375391, 47429823, 420288850, 394404403, 55136879, 250383898, 65401774, 379189703, 55828410, 98507634, 380817300, 199202785, 282321650, 185441039, 305672261, 28222504, 27454299, 93970947, 43176167, 7304708, 46274253, 134215729, 21147669, 216228118, 252342758, 89351333, 435072223, 14234780, 84597633, 85660278, 90589342, 56459730, 194479144, 6035902, 23293441, 49905013, 119511733, 141293504, 181581527, 35891877, 116799643, 216350281, 417822868, 630340632, 352601270, 135329372, 211551143, 74241463, 166440045, 179471924, 6044690, 618886096, 228820185, 58891973, 124557456, 166247101, 74046888, 28367226, 152204219, 51659185, 20876282, 241494595, 11128502, 47738403, 22465466, 51254579, 118429636, 20588532, 116247650, 142157452, 25369199, 165181745, 105789928, 280281747, 108815848, 24766906, 531061205, 66958238, 169104979, 143989921, 143590005, 20846534, 82618993, 15228439, 74765455, 304087912, 124127201, 62289908, 105752443, 240193864, 43573138, 159342348, 127515578, 124998760, 6227883, 64410245, 64416516, 12463197, 189519754, 192028248, 26145033, 118933817, 150118051, 234611046, 94384783, 274785126, 218044181, 36793706, 9483975, 47784467, 585695482, 37044677, 154105653, 173842184, 76350134, 85358323, 184105253, 72561466, 1832243, 233926784, 158189237 ], [ 7735612, 30035454, 20551867, 117514230, 88563387, 7829423, 20890141, 135375391, 55731310, 197949084, 79323819, 1616244, 8799657, 65401774, 140862904, 329338909, 31779127, 145328841, 36161704, 37914459, 83217922, 83751306, 54507159, 3483270, 202015670, 6968936, 5673638, 31043805, 4139590, 21147669, 182484876, 70712698, 130629805, 19490018, 9919743, 6340533, 18305731, 100440667, 107292296, 109689335, 60658150, 124550739, 17783364, 119511733, 57221722, 5564078, 17445992, 116799643, 84387194, 57668906, 2466315, 87331021, 135329372, 28922729, 62212096, 86751626, 75770217, 7865970, 139880768, 70766051, 37575849, 48287149, 38504136, 15008321, 17212618, 118351178, 51659185, 12512447, 94420609, 11128502, 79624677, 51545636, 1721996, 12467909, 20588532, 116247650, 48982349, 25369199, 169109617, 2413148, 93647738, 176068714, 53163448, 73058277, 8841244, 4200632, 42278587, 91342936, 31459281, 73828439, 12385968, 7492623, 20926578, 16357084, 15727200, 59706112, 96375956, 16829863, 159342348, 3962925, 31399207, 6227883, 12279330, 81970409, 98532729, 60881301, 13852019, 21571738, 118933817, 30716597, 31533926, 79686694, 108892514, 65892061, 67308819, 9483975, 1330228, 9219250, 37044677, 53846020, 78811485, 67476139, 6464083, 184105253, 72561466, 11393980, 18486023, 20569385 ], [ 1420552, 2131412, 91521943, 50682523, 33277103, 7829423, 15132886, 10728620, 31816588, 252700328, 119367130, 74243328, 84520594, 25310052, 47124808, 23830562, 16975223, 35210160, 51287163, 138673085, 16563273, 199354579, 54507159, 34088334, 8151623, 37485462, 114194111, 144524413, 4139590, 9811063, 92938946, 38606700, 130629805, 19490018, 38302511, 6340533, 85660278, 49181866, 22838978, 25834157, 153560906, 74514401, 196147070, 27009633, 7150152, 129524648, 22487531, 62091666, 170299, 78224680, 26014536, 87331021, 12789386, 28922729, 20471027, 13802806, 55492492, 57345974, 14648640, 85967173, 156340393, 159751091, 43978709, 15008321, 58680194, 83767180, 12232, 71913506, 50326426, 11128502, 93275311, 104722467, 26179740, 12467909, 3585485, 116247650, 11894363, 31532024, 57309704, 19249411, 72730439, 2065927, 24766906, 23507974, 80736473, 23136344, 31450107, 65859679, 31459281, 4771490, 85141, 13331112, 8702321, 7284989, 19873595, 5232805, 9904138, 15323433, 147333563, 3962925, 36009588, 22447868, 14194259, 132992065, 13756222, 72541170, 2331077, 63785001, 45380486, 36831880, 31533926, 240288566, 101236705, 31420260, 43192231, 9483975, 14187457, 53582699, 24346444, 83135938, 228933, 67476139, 6464083, 62846587, 29145453, 69491352, 34395922, 20569385 ], [ 4933684, 22529708, 107601258, 116655872, 125013236, 7829423, 87989095, 112408125, 47429823, 43540580, 98286111, 52931548, 8799657, 31379857, 54241451, 63370014, 98507634, 25228228, 51287163, 40620308, 90803632, 170578370, 52292132, 146725858, 31517016, 3571107, 17558543, 1304284, 4139590, 98455822, 88277132, 42078841, 89351333, 22878865, 9919743, 100200947, 140274632, 90589342, 8739141, 36700884, 28638365, 127431486, 49905013, 124972417, 141293504, 181581527, 4352936, 116587775, 79187697, 29578347, 26014536, 38680821, 141616975, 126181351, 74241463, 28456575, 161014869, 7865970, 10017132, 17644451, 43935746, 48287149, 38504136, 83921049, 25872681, 152204219, 69275328, 3498867, 36603489, 11128502, 22212330, 22465466, 51254579, 60270550, 55101405, 29962433, 142157452, 4232416, 20106410, 19249411, 40305110, 100430043, 24766906, 156836487, 32908317, 25287032, 143989921, 10302683, 5784357, 4622579, 25519571, 7492623, 189990730, 19222845, 163961914, 59554146, 64436335, 34104171, 8006431, 148252258, 14369341, 5644033, 11205384, 114835017, 26110120, 11873303, 37423523, 43313435, 35164341, 8246687, 43458299, 24708084, 1250663, 62538590, 162901039, 77874438, 278448080, 9219250, 134096799, 83135938, 48153557, 67476139, 142662399, 4241466, 108646659, 21819546, 54663602, 20795764 ], [ 40984537, 26888874, 90283397, 71795229, 136245013, 7829423, 82241178, 92093921, 107991707, 24691170, 153583750, 74243328, 8799657, 13920403, 23331017, 190261976, 76141940, 7500817, 50723374, 46198505, 69861726, 118009155, 54507159, 92954559, 79409986, 39037031, 285177654, 8874972, 4139590, 7603385, 22620492, 138220994, 10864353, 10967976, 9919743, 15006975, 11146641, 8929703, 58347541, 48807174, 25636540, 57924161, 37173693, 744442, 7150152, 10151165, 99007065, 33027000, 102949115, 52133795, 72441433, 87331021, 162160841, 49755262, 47110452, 13802806, 135132158, 7865970, 38478205, 70766051, 64474081, 73736557, 72960311, 65564374, 65639020, 129915462, 109657830, 15472893, 68295644, 11128502, 65080746, 58811803, 1721996, 60270550, 20588532, 116247650, 39107390, 31134821, 77024485, 19249411, 45404420, 9828649, 96843841, 152145799, 91903130, 210234137, 61464631, 24673251, 47087107, 73828439, 13495800, 7492623, 20286730, 19222845, 45943396, 113269742, 29930575, 43573138, 5630084, 48139628, 42362674, 22447868, 22173503, 15381447, 165357810, 111749449, 116634415, 55990207, 118933817, 10655704, 31533926, 39081654, 108892514, 31125845, 15882741, 77874438, 6292514, 93398034, 24346444, 7393291, 7805551, 67476139, 142662399, 61205752, 97987349, 19493482, 48662496, 28598678 ], [ 133767379, 97085922, 13184479, 207343711, 41832463, 251398787, 25402668, 244862465, 303434103, 197949084, 86101458, 74243328, 14851289, 148988021, 47304527, 76651745, 373240056, 240436705, 34562533, 277850244, 48757041, 120881524, 54507159, 34088334, 144873193, 126330145, 30126758, 89470205, 85673659, 21147669, 78481542, 90012124, 22705191, 424273840, 126871329, 331667638, 85660278, 223317775, 390756512, 71854774, 15434308, 149196458, 175215195, 124972417, 239972320, 128173600, 260938445, 100859830, 38264112, 206454357, 195036129, 17067399, 246096465, 161198916, 17366602, 526434253, 125850834, 46271079, 194593773, 155642024, 246297012, 163526627, 164243119, 9782277, 298577992, 24018646, 49483502, 145200536, 182225634, 11128502, 16196064, 134612143, 28836682, 118429636, 20588532, 201336809, 60974175, 83060934, 101634046, 120127518, 334235957, 176262770, 4265748, 152145799, 43412957, 23136344, 41470603, 143590005, 266205993, 32134374, 74179897, 322389397, 26591430, 19222845, 23549800, 44916132, 6092580, 43573138, 93765590, 210937616, 143390239, 106473325, 64410245, 167556001, 16539226, 36643396, 81197310, 128093042, 9194381, 246849170, 139649599, 29269270, 142415073, 183892016, 15882741, 59776821, 48719828, 107331995, 79851375, 33337221, 73486107, 34094568, 330901991, 27614505, 133947135, 86728952, 17358287, 28598678 ], [ 5468845, 97085922, 21464014, 140229213, 136245013, 7829423, 41532827, 281574122, 71474924, 55922303, 22907577, 6326504, 24388200, 95306033, 3963634, 89088779, 131856821, 10250157, 29159332, 131129715, 29984501, 88262117, 54507159, 34088334, 33926751, 34039240, 84920237, 31043805, 4139590, 21147669, 182484876, 80293934, 130629805, 51458735, 9919743, 142153752, 85660278, 27492701, 82956858, 127562122, 108687630, 10259202, 25489529, 124972417, 148038832, 92691144, 191320393, 106939695, 69232553, 99727134, 24144608, 10030682, 71120256, 81020660, 98129014, 34775875, 31963827, 70360735, 14648640, 279690392, 53523994, 35379752, 10055390, 28434637, 45454837, 152204219, 40681939, 11729070, 24552265, 8937545, 65080746, 104722467, 8142292, 11856924, 20588532, 29034, 115236818, 156856293, 95255415, 11209908, 38633454, 33612121, 12441711, 133862971, 94396060, 23136344, 192082432, 38692286, 39498949, 25591598, 1357031, 7492623, 53375586, 19222845, 243990286, 5232805, 49803073, 43573138, 167337870, 22205311, 54523338, 13573695, 57685915, 9147870, 1537447, 36346425, 102658799, 1636840, 11775402, 63829230, 26595740, 63579621, 108892514, 57123207, 88807185, 22788190, 14187457, 33387298, 162226585, 806488, 43942944, 67476139, 78709195, 78707398, 58458180, 45297224, 54663602, 122000319 ], [ 42188445, 97085922, 90283397, 27543629, 136245013, 7829423, 350896763, 121415900, 150232000, 62524590, 151853792, 12897912, 71615469, 59370111, 437098192, 79205732, 47462562, 44778422, 145452590, 40620308, 48757041, 477690754, 54507159, 1333810, 93047836, 268856666, 202725313, 8874972, 47027132, 21147669, 182484876, 385182958, 130629805, 168560395, 9919743, 143731756, 85660278, 569262728, 82956858, 194479144, 188043164, 145813923, 49905013, 124972417, 5827676, 181581527, 64419928, 145062040, 102949115, 203833526, 27794976, 87331021, 74560294, 81020660, 47110452, 434398137, 150297122, 71019915, 14648640, 16330527, 115403208, 2672366, 166247101, 48164330, 572277808, 11719307, 131606927, 271916202, 68295644, 11128502, 140177897, 73698525, 212074399, 118429636, 20588532, 116247650, 231979150, 71500726, 20031200, 220942899, 334235957, 138529504, 49073427, 133862971, 7835358, 23136344, 119891652, 45723755, 51205941, 73828439, 142284667, 7492623, 443929535, 19222845, 264493512, 113269742, 9904138, 43573138, 154818357, 22205311, 35340239, 231829832, 64410245, 207540529, 165357810, 36643396, 157285445, 291330493, 35164341, 67142518, 27387646, 152283894, 47260902, 259420844, 97783830, 8699484, 14187457, 566546398, 483341, 39777883, 112368064, 76350134, 142662399, 78707398, 234437050, 151585033, 233926784, 122000319 ], [ 4933684, 37116659, 107601258, 311917730, 136245013, 83394876, 32672771, 29826973, 47429823, 328256490, 151853792, 74243328, 71615469, 31044075, 49382248, 152177678, 102140675, 26218382, 171548449, 189190784, 48757041, 113002218, 52292132, 27454299, 197905751, 43176167, 17558543, 203864599, 23647385, 9811063, 133175633, 399226465, 130629805, 348836016, 9919743, 6340533, 85660278, 206894540, 23174927, 36700884, 183119693, 85666035, 98787651, 11997696, 20514030, 129524648, 46963576, 104486912, 61204915, 243977250, 2550892, 33709547, 125315523, 2659182, 74241463, 13802806, 19880832, 64185138, 14648640, 137247224, 101546468, 3461683, 166247101, 48164330, 26419837, 28830461, 98279419, 12512447, 323978325, 11128502, 46488845, 192781133, 6768022, 118429636, 20588532, 17535400, 142157452, 19849400, 10845223, 108979105, 72033260, 118696668, 24766906, 136263894, 179762713, 23136344, 180990671, 122274818, 31459281, 15850384, 190492502, 7492623, 20926578, 51195759, 15727200, 105752443, 40465142, 43573138, 110114699, 94314135, 162501726, 22447868, 64410245, 132992065, 237895733, 36643396, 58325319, 21571738, 35164341, 134175344, 8770051, 1803642, 108328295, 275692437, 240354627, 30217700, 14187457, 107331995, 24346444, 94962878, 263551128, 76350134, 165529193, 78707398, 349853773, 221063667, 233926784, 4773609 ], [ 288722200, 172495529, 90083505, 116655872, 136245013, 7829423, 399851261, 98699642, 540045541, 37807076, 151853792, 110883344, 133996733, 379802993, 54241451, 254088010, 193818367, 65232015, 296970207, 46032413, 161064625, 29508128, 48133062, 27454299, 101437440, 38020012, 38815632, 46274253, 648539285, 21147669, 318655847, 89786812, 176707072, 53152674, 351542352, 138129584, 85660278, 115532750, 240537181, 256336730, 20360138, 39668587, 222078043, 118478263, 335724805, 168780200, 124662508, 166972709, 113252704, 29578347, 112868832, 87331021, 161036725, 139492398, 55289039, 34775875, 65078508, 239180778, 66967279, 281489998, 2470016, 124557456, 228550736, 317560233, 745699, 152204219, 110304335, 20876282, 241494595, 379320953, 22704879, 181842859, 43998752, 16737440, 20588532, 116247650, 129944384, 182438260, 89742149, 179908138, 84942547, 26563441, 35356550, 26791723, 5633180, 57343845, 57954350, 53378977, 9874864, 73828439, 441484919, 25817947, 5096699, 293230573, 405526201, 94523830, 63781119, 43573138, 155275100, 32328827, 76804800, 79870237, 324557455, 92620743, 12463197, 357310693, 160122026, 289941323, 35164341, 190974156, 99087512, 111411183, 24563170, 168088718, 36793706, 77874438, 331300267, 605439591, 162226585, 221923766, 369497591, 67476139, 85358323, 60554761, 28101409, 6799953, 86532592, 202311234 ], [ 121987726, 73957937, 62456611, 68786783, 2731433, 7829423, 41440627, 49062442, 47429823, 59843273, 75996692, 39101763, 118534746, 65401774, 65923811, 79205732, 83956841, 43632673, 188559672, 7653999, 1887686, 73774743, 1078818, 3483270, 5268798, 47168326, 7304708, 8462167, 4139590, 9811063, 90105736, 2040097, 88527179, 50156580, 29515582, 22598478, 16464885, 15739239, 23067919, 194479144, 5234622, 7658704, 17783364, 6081311, 68645080, 139331845, 17445992, 36439258, 113252704, 114464711, 27794976, 50199026, 35159949, 11660676, 64991555, 10654555, 125552038, 35165228, 14648640, 18495901, 1172029, 63487511, 35365937, 21759878, 35286264, 13464304, 22249452, 20876282, 265759236, 11128502, 113677391, 22465466, 26179740, 14664792, 20588532, 51136416, 11955167, 52275884, 95255415, 19249411, 93647738, 8458128, 24766906, 17277866, 5633180, 23136344, 7112617, 34969278, 9489121, 55513661, 111468239, 15589574, 185245830, 19222845, 12458462, 17292199, 9904138, 5567090, 5316044, 10343984, 40915217, 22447868, 1328670, 2842731, 165357810, 94484605, 1030147, 58570577, 35164341, 39156272, 283011116, 29269270, 4055265, 43438306, 67308819, 77874438, 4285659, 33512734, 10387097, 51565532, 10094996, 34094568, 20856392, 78707398, 105351007, 14556119, 33579362, 1734627 ], [ 133767379, 30035454, 68189286, 416002221, 33277103, 190965761, 99861174, 24077093, 102662435, 197949084, 373949376, 55136879, 65689087, 487845262, 49382248, 89088779, 7913937, 349191679, 251753053, 278753619, 48757041, 56632451, 11961387, 100062238, 243193006, 265354243, 276613171, 56582875, 85673659, 21147669, 100416362, 211430433, 9792785, 12771929, 85973205, 69781556, 42541170, 90589342, 55204239, 194479144, 188043164, 54680158, 130821229, 124972417, 89559535, 181581527, 22831961, 262047619, 31732514, 75632376, 375787412, 366369784, 74560294, 96612462, 77475343, 71095695, 119141848, 46271079, 70653456, 155642024, 207784451, 163526627, 11279980, 73888831, 25872681, 54805264, 51659185, 78363079, 36603489, 11128502, 89636330, 118584340, 72850863, 19468086, 17857116, 29034, 60974175, 4232416, 162479414, 21767430, 49042019, 138529504, 162886743, 83185192, 122772509, 6945715, 65033536, 143590005, 55831970, 40616298, 193883785, 352113910, 8702321, 19222845, 25454829, 112758787, 67706453, 15323433, 142714957, 1456272, 60218234, 106473325, 64410245, 83752379, 165357810, 7980996, 413833681, 141103902, 45380486, 91572616, 325141715, 76713074, 142415073, 259420844, 24729259, 9483975, 48719828, 107331995, 118973884, 33337221, 118989162, 98156108, 416100334, 177072414, 72561466, 33248008, 471817157, 70664553 ], [ 4933684, 38167608, 90283397, 35226275, 10957768, 7829423, 82241178, 12022236, 25044537, 38944799, 189583859, 74243328, 8799657, 4386071, 37793319, 89088779, 42324415, 26218382, 34562533, 12607340, 39450994, 120881524, 54507159, 34088334, 20225252, 38020012, 22853199, 64536951, 4139590, 21147669, 78481542, 41522213, 22705191, 22878865, 6192340, 6340533, 1495963, 1051924, 59586960, 8417534, 20360138, 107895371, 4870208, 11997696, 111112524, 10151165, 46963576, 104486912, 13295199, 89121664, 6062175, 38680821, 115691539, 49755262, 50451307, 10654555, 17500540, 7865970, 14648640, 171344372, 35575210, 163526627, 31022711, 23951579, 5538772, 28830461, 2024220, 57702952, 17798266, 11128502, 93275311, 67653500, 64780798, 13454170, 20588532, 29034, 60974175, 4232416, 69629332, 19249411, 136839348, 60270032, 4921097, 117292107, 32908317, 19473048, 61193764, 54059003, 31459281, 15850384, 11246359, 25817947, 8702321, 19222845, 75761061, 6667058, 9904138, 15323433, 18278949, 30702354, 15180187, 5644033, 22173503, 167556001, 100601120, 2904225, 13699328, 173777411, 45380486, 116659326, 43458299, 122604998, 1250663, 30945225, 15882741, 13207700, 14187457, 2430473, 52506329, 32213083, 7805551, 67476139, 41545619, 4241466, 105351007, 86728952, 54663602, 20569385 ], [ 44603082, 97085922, 113505080, 35226275, 61191003, 91825173, 182108133, 315969607, 291266686, 432884653, 102516458, 74243328, 272546140, 307610120, 49382248, 89088779, 193818367, 132029913, 51287163, 359083205, 33094361, 252032101, 48133062, 34088334, 26604340, 266048231, 111425199, 46274253, 56292815, 204697674, 171188731, 82093146, 130629805, 205357831, 333180903, 6340533, 151784535, 43491106, 251889060, 148243115, 85422202, 149196458, 22122233, 114315668, 20220556, 129524648, 280079415, 53141998, 16165162, 76113005, 195036129, 401545057, 161036725, 150877332, 17366602, 41932736, 179471924, 64185138, 14648640, 279690392, 141775874, 163526627, 34900825, 48164330, 59851602, 251200999, 107754139, 20876282, 74811279, 11128502, 65127504, 104722467, 450176626, 272079305, 541096123, 29034, 60974175, 83060934, 95255415, 205453014, 34174321, 176262770, 23267185, 26791723, 28558812, 12526600, 78448180, 111921559, 85542906, 7520039, 62182374, 74318563, 26591430, 43325849, 89878703, 5229812, 67706453, 43573138, 230720224, 310801574, 41475264, 64507793, 60899828, 350278834, 145537395, 66126466, 230207875, 345964936, 326281173, 61325488, 347086270, 240288566, 130058598, 194919342, 15882741, 77874438, 14187457, 52577251, 39902837, 182220662, 271186117, 101916855, 85358323, 193619970, 69848780, 290925804, 10803804, 28598678 ], [ 57385199, 47624026, 61302639, 53684186, 89648487, 7829423, 41440627, 24077093, 183071266, 24691170, 119367130, 25903025, 34019496, 31379857, 86967529, 36515062, 76141940, 21175019, 105733785, 12230160, 7083997, 11649343, 36961015, 33763582, 15072477, 43176167, 121964376, 75995835, 4139590, 9811063, 22620492, 2877764, 130629805, 6952233, 4133651, 6340533, 85660278, 105013166, 147831668, 37153598, 25636540, 23293441, 37173693, 52801849, 39598691, 10151165, 96064311, 3258629, 129183903, 5791509, 26014536, 38680821, 45328380, 49755262, 95105938, 13802806, 20533806, 10687625, 14648640, 17644451, 898703, 91097658, 11242112, 48164330, 93054322, 124858367, 21701992, 77917987, 59312555, 11128502, 22704879, 28228757, 1721996, 60270550, 20588532, 3156213, 11894363, 92990750, 16528031, 19249411, 46800264, 46523739, 114256263, 41774635, 8940638, 23136344, 74643582, 34969278, 5784357, 73828439, 191962791, 7492623, 23401976, 19222845, 45943396, 91311068, 31812472, 16829863, 65795867, 118518227, 10956332, 22447868, 22173503, 46975680, 47321063, 10148911, 189353626, 141103902, 118933817, 36831880, 25604819, 94384783, 108892514, 139487760, 61306308, 77874438, 14187457, 49855642, 8960093, 83135938, 7805551, 25533915, 8317162, 4241466, 306721294, 35560267, 9442910, 20569385 ], [ 128049990, 30035454, 90283397, 96833695, 125013236, 7829423, 81223123, 86963849, 47429823, 197949084, 33741451, 28429720, 34019496, 37433665, 57273016, 22630818, 36090254, 61864217, 21654249, 56392526, 29984501, 46042705, 54507159, 34088334, 17663738, 47168326, 149956506, 64536951, 4139590, 9811063, 177071859, 48525486, 28190702, 528225, 22427269, 36629171, 85660278, 90589342, 84598180, 194479144, 183087985, 17280545, 49905013, 24447404, 39853586, 10151165, 46963576, 145062040, 187776720, 85786520, 26014536, 255792, 45328380, 49755262, 26675367, 10654555, 177760154, 6044690, 14648640, 31897130, 898703, 36211929, 33395442, 18645977, 28367226, 124858367, 12653804, 78363079, 63046026, 11128502, 22704879, 28228757, 2585693, 32623142, 20588532, 2360923, 104659761, 176216109, 48237347, 19249411, 210532374, 48006655, 24766906, 271529802, 86013145, 12526600, 125038157, 33878282, 44423590, 73828439, 1357031, 45304701, 23401976, 19222845, 117369863, 140446503, 40686868, 43573138, 8006431, 32328827, 42362674, 5644033, 22173503, 52793063, 51603924, 2904225, 55671412, 185295986, 35164341, 48503409, 8198026, 18245555, 607463, 13069568, 43192231, 9483975, 14187457, 40107756, 15875001, 83135938, 7805551, 34094568, 136440393, 39724630, 72561466, 132388838, 33560528, 124371125 ], [ 297616339, 97085922, 91521943, 276603474, 136245013, 7829423, 61511596, 281574122, 129305061, 90705911, 136013061, 39101763, 71615469, 60726845, 15207875, 89088779, 206066800, 126461047, 29159332, 84843147, 37018657, 27762995, 54507159, 100062238, 125339632, 161545835, 103891994, 173631820, 4139590, 21147669, 216228118, 17532722, 22705191, 134182333, 9919743, 6340533, 136167211, 300825814, 139956772, 109689335, 11081450, 10259202, 61792590, 124972417, 235881886, 129524648, 30893601, 276027379, 452100050, 213746214, 26014536, 35578335, 61360119, 218552420, 28651943, 207004542, 137597071, 8503964, 14648640, 147061198, 78969574, 163526627, 166247101, 48164330, 35286264, 152204219, 131606927, 12340235, 74811279, 11128502, 22308748, 104722467, 88947413, 60270550, 197890468, 29034, 141559774, 118338939, 95255415, 19249411, 283824684, 71414976, 91633541, 183263655, 308724248, 23974405, 34081857, 143590005, 85542906, 73828439, 264713914, 7492623, 64105129, 19222845, 62289908, 105860579, 26063013, 20725189, 173985815, 118259672, 138193814, 52802580, 64410245, 105903689, 114672808, 30180049, 14861593, 43313435, 108701291, 227408714, 68264980, 152283894, 108892514, 3457816, 303024978, 1778507, 14187457, 9219250, 53494524, 7574241, 20933357, 18566907, 42386113, 83705322, 133947135, 13483105, 54663602, 75920074 ], [ 402410658, 1561004, 42205187, 348365153, 136245013, 7829423, 18442384, 125993154, 303434103, 147171171, 151853792, 1616244, 71615469, 636473435, 644945263, 56751399, 163244877, 358417988, 285826901, 30741883, 69861726, 256367791, 54507159, 100062238, 103820170, 145144316, 230950448, 321638199, 36979083, 9811063, 284826954, 37980700, 22705191, 134965121, 9919743, 180270267, 85660278, 175975916, 88439838, 223123317, 194834150, 570585111, 98787651, 174374826, 150074300, 181581527, 526073402, 5528881, 106526601, 144773047, 23343349, 120801518, 630518188, 188350636, 191331977, 13802806, 54982604, 281039048, 16878635, 221127417, 207784451, 97305873, 166247101, 317560233, 463325686, 137077539, 241739040, 533457720, 74811279, 16518800, 140177897, 220884734, 26179740, 118429636, 20588532, 29034, 216307645, 158622653, 113927333, 874194383, 207280162, 2769584, 19062949, 35163687, 44399837, 283672979, 192082432, 45723755, 48669013, 128639937, 10562471, 7492623, 110178963, 108569573, 131697136, 97078401, 143846285, 43573138, 272014843, 278127072, 143390239, 22447868, 12279330, 28666453, 339984246, 44092943, 81197310, 247937496, 35164341, 328108183, 128313868, 150840238, 108892514, 443811229, 240354627, 77874438, 82300461, 47000483, 24346444, 94962878, 238853669, 67476139, 77997450, 22402104, 121948505, 416889148, 233926784, 82023210 ], [ 195880219, 83328899, 40672129, 87847280, 136245013, 352384574, 272898339, 152253932, 245584533, 148755371, 126992149, 17470031, 187731381, 75666424, 147782651, 75764734, 72104561, 44778422, 50723374, 2916047, 153716655, 46042705, 54507159, 45970812, 142821452, 39037031, 84920237, 224245131, 81594087, 163515788, 216228118, 30479417, 22705191, 7359661, 125855464, 22598478, 51447786, 154085951, 86884185, 92222972, 105184238, 39668587, 186424101, 93651336, 18334044, 5564078, 96064311, 106939695, 38264112, 60223950, 24144608, 10030682, 39235449, 29011856, 26888288, 10654555, 75770217, 61674512, 14648640, 77820875, 53523994, 146962618, 83586451, 48164330, 124138703, 24018646, 153379140, 12512447, 38614724, 11128502, 341567372, 78631025, 107607561, 47735823, 33384915, 235440137, 48982349, 71500726, 95255415, 159837584, 96215270, 176068714, 145675794, 35163687, 8841244, 23974405, 192082432, 143590005, 52984891, 32134374, 41919855, 306141899, 120418407, 19222845, 15727200, 25973217, 9904138, 43573138, 59022029, 22455383, 79583447, 79870237, 30173268, 36501952, 165357810, 44092943, 81197310, 21571738, 35164341, 3674981, 99473018, 60319807, 93898343, 50238942, 296874181, 59776821, 14187457, 26257979, 114000384, 51565532, 48153000, 67476139, 34312063, 78707398, 101863628, 4957152, 39011870, 82023210 ], [ 158181802, 97085922, 91521943, 86289465, 87144252, 7829423, 15132886, 130453420, 26598905, 61538472, 46555666, 20146360, 71615469, 13920403, 35881504, 89088779, 193818367, 546541058, 50723374, 98680783, 96953758, 46042705, 48133062, 34088334, 40977402, 39037031, 22853199, 46274253, 21440549, 9811063, 182484876, 11712567, 130629805, 193784497, 9919743, 100200947, 277657016, 38424988, 39196081, 48807174, 28638365, 39668587, 88954935, 744442, 137788241, 159340643, 99007065, 33815327, 34182163, 85655385, 37432689, 87331021, 6648244, 112735917, 98129014, 13802806, 97793246, 145717225, 14648640, 16330527, 64474081, 91164240, 12557951, 23951579, 29546733, 5748040, 9932183, 3446680, 74811279, 11128502, 3837077, 57092899, 26179740, 27765449, 27303075, 29034, 39107390, 91256681, 95255415, 25407974, 179364341, 30477930, 113466316, 21843513, 91903130, 9750518, 61464631, 143590005, 5784357, 64558182, 129590062, 7492623, 112610509, 19222845, 60854711, 44916132, 102585905, 43573138, 27056212, 32328827, 36009588, 15764238, 9349246, 15381447, 11163926, 11873303, 43405881, 117360872, 35164341, 136613671, 14870913, 5221135, 62702179, 6084267, 30401519, 53110477, 14187457, 108381644, 24346444, 5215278, 112368064, 67476139, 85358323, 29163531, 75515603, 10979305, 19539590, 4334444 ], [ 1420552, 30035454, 6486315, 43872504, 9930512, 7829423, 15132886, 44996736, 44483330, 69172837, 102887187, 38819351, 25445633, 42519771, 106825335, 41196134, 105901672, 21769575, 20245054, 128972561, 5561770, 43105384, 54507159, 34088334, 4836413, 43176167, 60375896, 61702296, 85673659, 21147669, 50069238, 4276608, 13784895, 22878865, 9919743, 22598478, 1495963, 12252824, 123736722, 79544058, 12891339, 92862550, 98787651, 124972417, 111112524, 35033853, 10632330, 5528881, 42681611, 176925783, 24494642, 10030682, 42498469, 109565665, 3646078, 55941243, 19759436, 8221730, 11163758, 95374567, 17386639, 118110339, 262995033, 74046888, 35286264, 35065222, 51659185, 3498867, 5653064, 11128502, 55275011, 244076879, 119224033, 30813733, 3585485, 6352172, 52252401, 22464142, 44841138, 47797032, 12183523, 51068483, 33674969, 140418021, 33589083, 23136344, 9650165, 60762338, 4808035, 53672825, 7930637, 7492623, 11069810, 19222845, 57560570, 75897377, 62058692, 20716534, 100932340, 139396791, 45122438, 5644033, 12046729, 25339270, 37761538, 104883979, 2867946, 55492560, 8011989, 17299405, 24390835, 96419578, 79920231, 15844133, 279353583, 2138343, 14935790, 53582699, 42944154, 51565532, 93946636, 147622837, 12531957, 144485909, 72561466, 132388838, 6509699, 72265228 ], [ 4933684, 30035454, 40672129, 116750431, 88563387, 83394876, 104730554, 10728620, 5001174, 102525873, 33741451, 1616244, 34019496, 12265261, 15810049, 18429975, 7619152, 69607594, 5312691, 56392526, 9301350, 37314050, 48133062, 34088334, 15072477, 38020012, 22853199, 18140653, 11384301, 9811063, 35959395, 1452202, 130629805, 6952233, 9919743, 6340533, 71870895, 2362921, 9985536, 64448995, 20360138, 9182292, 42794805, 107806842, 7150152, 129524648, 46963576, 38078864, 22709165, 211664654, 35513447, 10030682, 161036725, 165173119, 37146219, 10654555, 17143545, 48243627, 14648640, 32460033, 11267373, 14572170, 11447161, 4081438, 758187, 4770883, 2235822, 12512447, 54509151, 11128502, 22704879, 3453250, 21090655, 44910532, 20588532, 29034, 52492171, 47807883, 48237347, 26225179, 93647738, 71414976, 24766906, 26791723, 12184028, 23136344, 30230283, 18384142, 23316184, 59176401, 52045656, 7492623, 77572742, 19222845, 8826323, 44916132, 1851798, 43573138, 18524312, 32328827, 119235589, 22447868, 12279330, 18175114, 51603924, 42055225, 30097089, 21571738, 106621987, 163379014, 77079650, 152283894, 17980645, 2960037, 22152970, 9483975, 6292514, 168425842, 24346444, 21280434, 139387933, 9601057, 85358323, 12121716, 70979084, 51706520, 39011870, 20569385 ], [ 6925873, 25625237, 761466, 223560090, 256894703, 117181016, 15132886, 108374213, 90495852, 26310677, 69015396, 167414792, 71615469, 13920403, 4724026, 121795184, 36090254, 480805650, 254847097, 49764429, 69861726, 46042705, 270239818, 34088334, 89666755, 43176167, 85139712, 63731367, 23647385, 3891178, 182484876, 76828818, 89351333, 84314686, 9919743, 6340533, 17575784, 39507063, 84158568, 250995339, 99641587, 17280545, 98787651, 304541641, 226760630, 10151165, 93413578, 145062040, 113252704, 85655385, 307795445, 10030682, 246096465, 49755262, 26888288, 166248516, 194631562, 66804770, 14648640, 31897130, 246297012, 163526627, 166247101, 28434637, 114479603, 74773151, 51659185, 59124870, 63046026, 86828267, 93275311, 22465466, 51254579, 118429636, 20588532, 234777735, 375775584, 471484135, 95255415, 53956192, 206468708, 176068714, 6244249, 106407080, 5633180, 23136344, 131190754, 8502036, 31459281, 73828439, 446275943, 7492623, 23401976, 19222845, 51674359, 5010334, 50727531, 77745352, 169022782, 32328827, 45122438, 61461740, 22173503, 15381447, 165357810, 109516124, 104879737, 291330493, 35164341, 259495312, 342052023, 152283894, 108892514, 7233443, 240354627, 9483975, 14187457, 485492894, 88814411, 94962878, 7805551, 76350134, 230975491, 20809248, 24177958, 4957152, 153858659, 20569385 ], [ 22233974, 22529708, 91521943, 80487212, 2731433, 7814850, 13110491, 63416529, 22689167, 6475993, 3134393, 39101763, 71615469, 12265261, 95302552, 18429975, 124340353, 114091769, 61191946, 564141, 185441039, 26082319, 48133062, 3483270, 5268798, 21578825, 7304708, 5544457, 10837950, 9811063, 131693466, 4548163, 26409604, 528225, 9919743, 22598478, 71870895, 52916695, 42945998, 37539574, 12891339, 7658704, 42794805, 107106667, 39853586, 12349849, 46963576, 5528881, 27658597, 31194521, 22494683, 77166353, 105667647, 13392175, 38587555, 13802806, 17500540, 8221730, 14648640, 46977691, 64474081, 97305873, 80522060, 4081438, 28099212, 51402350, 51659185, 3934247, 50568960, 11128502, 40120666, 22465466, 2585693, 12467909, 223377626, 38454805, 27684402, 108566036, 13855691, 14881854, 45404420, 30477930, 24766906, 26791723, 6988186, 23136344, 80951474, 143590005, 23316184, 19593982, 28854300, 7492623, 52388151, 19222845, 143939403, 59706112, 97094170, 43573138, 121008510, 32328827, 45122438, 22447868, 21893811, 2842731, 90687665, 106543694, 47583747, 53618226, 47341948, 19719398, 19902972, 18245555, 42207456, 75222315, 117885219, 9483975, 14187457, 33512734, 24346444, 51565532, 1255572, 39880734, 6464083, 151942438, 1309814, 49757387, 16026912, 45757252 ], [ 22233974, 30035454, 38302858, 140229213, 136245013, 88259316, 29738778, 10728620, 47429823, 69172837, 42522121, 6326504, 71615469, 114729859, 27208419, 179509560, 153302934, 1320109, 5312691, 6868206, 17088587, 18110608, 52292132, 1526538, 4836413, 285087, 17218684, 46274253, 85673659, 21147669, 50069238, 94730687, 117146760, 134213432, 9919743, 145236043, 85660278, 311384949, 23580742, 28975200, 6402498, 39668587, 68320460, 6081311, 7150152, 181581527, 20769612, 34318746, 11862075, 31194521, 33590204, 31033888, 22009232, 13392175, 74241463, 37183143, 179471924, 6044690, 14648640, 18495901, 11267373, 75913829, 74571962, 6304314, 28367226, 63295174, 51659185, 3498867, 284444806, 11128502, 47613840, 47712326, 73092170, 94510671, 20588532, 167877967, 27684402, 36564773, 44841138, 1468693, 93647738, 51068483, 24766906, 104263718, 6988186, 21484554, 68759418, 97802999, 37520657, 73828439, 81626395, 7492623, 27939939, 19222845, 20286424, 17292199, 175153962, 43573138, 18524312, 32328827, 81906821, 43397200, 28544756, 112236543, 34907452, 42055225, 3435798, 1636840, 20541419, 105264810, 31533926, 152283894, 42207456, 57123207, 52211992, 9483975, 14187457, 99116131, 57381738, 21280434, 193466779, 39880734, 49654188, 62255495, 24177958, 45568316, 192819286, 158189237 ], [ 6925873, 30035454, 74998691, 26687387, 33277103, 53865188, 108092179, 10728620, 47429823, 113450913, 150685462, 6951828, 71615469, 39175709, 25976978, 18429975, 105084046, 95554627, 51287163, 7653999, 83217922, 4189283, 54507159, 34088334, 15072477, 43176167, 7304708, 46274253, 10837950, 9811063, 182484876, 125103410, 168067667, 86439671, 9919743, 22598478, 85660278, 121805154, 9985536, 37153598, 11142073, 9182292, 98787651, 1120881, 40028627, 181581527, 46963576, 2257890, 108686934, 46909343, 26014536, 82219332, 45328380, 211551143, 74241463, 11735842, 53062203, 158857102, 14648640, 82513676, 11267373, 357911330, 74571962, 48164330, 36071370, 4770883, 51659185, 3498867, 236098211, 11128502, 22704879, 102620064, 26179740, 21303599, 20588532, 106256978, 142157452, 31134821, 48237347, 11209908, 2886570, 629887, 24766906, 45077948, 6988186, 23136344, 31450107, 34969278, 16636870, 148005474, 111165131, 7492623, 8702321, 19222845, 12458462, 17292199, 191823281, 15323433, 18524312, 32328827, 81906821, 13573695, 46124803, 41155571, 108013928, 10148911, 72680261, 115262061, 45380486, 10655704, 2973556, 152283894, 17980645, 259420844, 52211992, 9483975, 8413451, 134045925, 24346444, 21280434, 10589068, 67476139, 43727282, 154914899, 30144140, 224365826, 39011870, 82023210 ], [ 1420552, 14498581, 39960801, 117514230, 11865602, 7829423, 97544087, 10728620, 119218474, 24158997, 22697464, 17470031, 34019496, 57850167, 37681236, 13561751, 105901672, 28824799, 172683996, 56392526, 7083997, 46042705, 54507159, 34088334, 14849280, 23987554, 112493019, 8874972, 42009311, 21147669, 26310419, 30479417, 22705191, 103716003, 9919743, 22598478, 85660278, 2362921, 9985536, 26723723, 13774441, 39668587, 84011763, 107806842, 36050063, 5564078, 8899107, 38078864, 84387194, 22151467, 118802833, 10030682, 51243350, 14546365, 18496118, 28456575, 75648262, 112208048, 11163758, 145502930, 22719135, 48287149, 38504136, 15008321, 9907123, 4770883, 56732055, 85464298, 74811279, 11128502, 21941788, 28228757, 43998752, 32623142, 20588532, 29034, 17765666, 40682772, 95255415, 21767430, 19038590, 48006655, 83530365, 18073851, 8841244, 8072599, 23188495, 99141108, 52984891, 73828439, 121545288, 7492623, 53375586, 19222845, 65050488, 27356758, 37119810, 43184542, 65795867, 16816553, 124998760, 25143123, 30883294, 88710090, 29603894, 6136708, 47583747, 16500462, 62241663, 18875456, 8198026, 75624451, 17980645, 130613127, 157498963, 77874438, 5997363, 78222673, 12884468, 51565532, 45989456, 42620689, 17832662, 4241466, 82142274, 11393980, 34395922, 16451618 ], [ 4933684, 30035454, 761466, 6139061, 88563387, 7829423, 11334436, 73257812, 31816588, 43540580, 3693519, 36381520, 25367037, 65401774, 37745886, 18825598, 7619152, 28994212, 21654249, 10190056, 33215191, 37314050, 11762876, 34088334, 59133428, 38020012, 7304708, 18140653, 17637699, 1185873, 88277132, 7808716, 58384273, 19490018, 9919743, 6340533, 31600162, 2362921, 107292296, 64448995, 20360138, 7658704, 12920141, 22429466, 28641480, 10151165, 8899107, 38078864, 27658597, 85786520, 29152544, 10030682, 49711042, 21139736, 3646078, 10654555, 103045746, 71019915, 14648640, 32940326, 22719135, 36211929, 146607801, 4081438, 758187, 126111477, 51659185, 11729070, 1713226, 8937545, 77515203, 3453250, 2585693, 12467909, 20588532, 29034, 42483440, 31532024, 95255415, 60822658, 93647738, 3917727, 24766906, 51560666, 140798236, 8072599, 143989921, 65859679, 6199379, 73828439, 28854300, 7492623, 23401976, 19222845, 187549021, 1785561, 35003869, 43573138, 147333563, 94314135, 60341589, 57329203, 22173503, 2842731, 10664629, 47516633, 30097089, 43313435, 108020107, 39156272, 31533926, 18245555, 93898343, 16246892, 22152970, 9483975, 14187457, 9219250, 37044677, 989728, 7805551, 9601057, 6464083, 3613516, 72561466, 2809997, 106515484, 20569385 ], [ 73278332, 30035454, 91521943, 96597209, 132514205, 60112497, 242114437, 128961, 47429823, 18494878, 170793321, 1616244, 71615469, 196835868, 171103628, 262315441, 68076701, 28994212, 63583651, 10190056, 17088587, 163633801, 16621108, 104388122, 4836413, 47168326, 70439458, 46833787, 39634172, 21147669, 50069238, 48525486, 68623986, 1422517, 9919743, 15006975, 85660278, 13294212, 23580742, 54081881, 129236485, 74514401, 80904095, 116766531, 26152465, 48317508, 46963576, 225522759, 28791263, 169784130, 68774826, 30257612, 148968942, 99206447, 74241463, 30363827, 179471924, 46697041, 14648640, 19219834, 297374151, 24647788, 82559288, 48164330, 94522658, 106275819, 51659185, 338000340, 94420609, 11128502, 54995284, 102620064, 200331027, 12467909, 6528865, 423006140, 64072588, 25369199, 95255415, 26225179, 126269287, 147758953, 24766906, 45077948, 91903130, 15963500, 38087537, 143590005, 223189329, 7520039, 7043534, 7492623, 20926578, 19222845, 264493512, 439243306, 126776090, 43573138, 27056212, 165188381, 300599081, 61461740, 12279330, 232547712, 63229648, 189519754, 52774061, 185295986, 106621987, 254881093, 342052023, 152283894, 108892514, 47405416, 67308819, 9483975, 14187457, 102834534, 13259227, 2093685, 31581032, 76350134, 6464083, 160625738, 23136354, 321485801, 39011870, 82023210 ], [ 4933684, 73957937, 4676912, 18570346, 1259187, 86700429, 78995092, 128961, 47429823, 43540580, 19436251, 1616244, 19704238, 6355329, 15046430, 18429975, 44076939, 28994212, 7308791, 10190056, 1887686, 27762995, 54507159, 29046629, 15072477, 43176167, 60375896, 31043805, 9998687, 9811063, 88277132, 70680761, 128895918, 19490018, 9919743, 8766403, 31600162, 89096221, 23580742, 103407533, 38375191, 74514401, 17055804, 119511733, 109967989, 5564078, 46963576, 2257890, 28791263, 82220011, 23343349, 10030682, 5217428, 17891465, 115547, 13802806, 125552038, 164215030, 17117820, 37752980, 16854207, 6417839, 43873508, 15008321, 68883514, 111185697, 22249452, 3498867, 94420609, 11128502, 1316220, 9282362, 26179740, 12467909, 20588532, 94579031, 48982349, 25369199, 13309723, 9740394, 152194142, 35924575, 24766906, 102661003, 8841244, 23136344, 26201252, 34969278, 48669013, 102649784, 28854300, 7492623, 8702321, 19222845, 119189925, 28353269, 96375956, 5567090, 164625296, 114999058, 24868546, 22447868, 12279330, 33373381, 15231301, 78525294, 66344034, 63785001, 45380486, 29184568, 20923054, 95470352, 27355494, 70427007, 48795592, 2208811, 51615701, 48253738, 10387097, 31122783, 7440492, 14569521, 6464083, 185272794, 136550496, 58481279, 91644311, 4643354 ], [ 119673112, 623171634, 9024081, 255500290, 114473320, 7829423, 245853059, 147990197, 146917016, 537206508, 151853792, 74243328, 23910649, 307610120, 230095154, 474404267, 163815048, 294755567, 51287163, 88379036, 330909024, 484117449, 40709355, 344223468, 20932634, 281419636, 179854330, 96226503, 141616744, 21147669, 216228118, 35814227, 43953569, 90961544, 9919743, 117957690, 247404276, 234806902, 562100, 194479144, 161630182, 459532651, 49905013, 3061499, 251836186, 61267603, 90365535, 375422674, 331134396, 390158985, 446863629, 5974013, 18418166, 182356569, 98129014, 54791462, 179471924, 71019915, 14648640, 228820185, 75983765, 710130605, 64030188, 48164330, 58735090, 152204219, 3148072, 409591138, 474072925, 11128502, 47738403, 47424358, 258409765, 58225282, 274679480, 116247650, 251733356, 610997122, 95255415, 43506522, 373099250, 156045941, 76929319, 204831672, 146539032, 23974405, 143989921, 74153142, 58445660, 216123810, 367705295, 7492623, 35881988, 92816567, 62289908, 144771645, 266778868, 43573138, 205379607, 9350717, 117538686, 210001379, 64410245, 49148075, 339984246, 109657296, 23483522, 145603465, 35164341, 13419998, 194796424, 152283894, 86283875, 34226122, 69246407, 77874438, 14187457, 543626217, 162226585, 94962878, 271186117, 229862691, 142662399, 78707398, 183176331, 476967306, 362045556, 59881781 ], [ 17819191, 22529708, 91521943, 135265314, 25910147, 19122126, 22595635, 10728620, 47429823, 101760927, 149011051, 38819351, 12907702, 66481109, 81313486, 41794532, 39806936, 68281884, 68578574, 97460704, 48757041, 83754180, 54507159, 34088334, 25635310, 47168326, 10607708, 46274253, 8717402, 21147669, 182484876, 4276608, 108507156, 84314686, 9919743, 181488963, 140274632, 181964479, 23580742, 61987849, 158735679, 40889447, 98787651, 24447404, 85914331, 18939602, 46963576, 39783660, 118379206, 15148201, 50308721, 33810309, 45328380, 118679761, 74241463, 29246001, 16762983, 6045037, 11163758, 221127417, 90893958, 118110339, 11447161, 7969807, 180005608, 53650076, 53084657, 15225020, 114870372, 11128502, 18298946, 164772969, 21408037, 128589255, 20937822, 137852199, 52492171, 39444211, 52479638, 7071017, 12325492, 99339, 24766906, 14250187, 67664024, 23136344, 32312309, 126905725, 154995966, 73828439, 25901517, 7492623, 77572742, 19222845, 55887444, 107035927, 39299598, 43573138, 110766261, 31159089, 38751009, 52802580, 37542637, 25339270, 18629613, 10148911, 3435798, 135052284, 35164341, 127411326, 4452591, 96419578, 108892514, 15844133, 303024978, 54885054, 9457991, 134045925, 57381738, 94962878, 45598919, 37227739, 85358323, 43439840, 85520903, 15791345, 33560528, 158189237 ], [ 55347018, 90161977, 34280264, 32477068, 40552078, 7829423, 81223123, 10728620, 11338106, 280269153, 11836062, 74243328, 13092652, 75935544, 81313486, 71167525, 21894805, 51024592, 46814823, 138673085, 8048060, 15266729, 54507159, 34088334, 119796753, 47168326, 47051623, 39720231, 4139590, 9811063, 36342808, 66054283, 40148963, 84314686, 9919743, 107832548, 140274632, 12448949, 9985536, 61987849, 161630182, 30692901, 98787651, 45341313, 7194092, 61267603, 46963576, 111501906, 122927825, 54615929, 26014536, 5974013, 18418166, 113448218, 2738498, 13802806, 75648262, 126129628, 30868299, 15659086, 61606123, 162877139, 5878601, 42335783, 51274772, 4770883, 123832397, 5140592, 21364041, 11128502, 18298946, 7774253, 26179740, 18583904, 164838577, 116247650, 1375471, 24505773, 19353368, 19249411, 54469600, 10158467, 11914058, 14250187, 74040791, 23136344, 229924757, 81671261, 71253104, 73785543, 120778936, 7492623, 77572742, 7147071, 70647982, 5229812, 22356340, 10745891, 90706319, 31159089, 42362674, 1121340, 27030575, 54564833, 39990073, 192263331, 28789537, 125409124, 35164341, 14671956, 31533926, 57043443, 17980645, 44508255, 81716102, 77874438, 48268857, 37156142, 15149708, 83135938, 32182005, 39219025, 39575483, 78707398, 7940278, 7517031, 30367010, 8385885 ], [ 297616339, 25627318, 57332646, 74511019, 136245013, 18999730, 158609007, 130453420, 168055595, 39316808, 149011051, 60970584, 71615469, 197170623, 36634874, 85400309, 18518610, 42060204, 29159332, 7746017, 57071156, 143748533, 33080379, 50796118, 8151623, 43176167, 33382862, 72564733, 4139590, 9811063, 191099004, 48525486, 176707072, 104212995, 9919743, 107832548, 85660278, 12448949, 562100, 57103513, 116796912, 10259202, 25025118, 53333722, 35593819, 181581527, 85158669, 199520774, 250035824, 223778508, 26014536, 13260044, 12789386, 252992133, 46245928, 13802806, 162803235, 6088663, 14648640, 79400751, 229189563, 136761026, 57315277, 48164330, 36289879, 15377231, 101831917, 11729070, 50326426, 8937545, 140177897, 93778652, 26179740, 60270550, 20588532, 69681164, 85430830, 88250247, 19353368, 19249411, 73122758, 33612121, 103800004, 183263655, 155501853, 23974405, 192082432, 125779475, 223189329, 73828439, 278209854, 7492623, 3247793, 108569573, 15272083, 5229812, 93159790, 43573138, 162929644, 129638731, 15912158, 22447868, 64410245, 132992065, 265958825, 171284812, 160122026, 43313435, 12821873, 13010805, 25024181, 129512264, 108892514, 44508255, 240354627, 77874438, 14187457, 9219250, 24346444, 7574241, 32182005, 67476139, 1119363, 16510963, 124456633, 276782739, 54663602, 89217926 ], [ 350085437, 250446478, 91521943, 71795229, 136245013, 19122126, 324831317, 153116751, 379716897, 437778517, 151853792, 74243328, 132813637, 62120632, 81313486, 302017769, 163244877, 259073846, 51287163, 128972561, 801601271, 529324919, 54507159, 27556203, 81649881, 252577044, 202725313, 83863624, 648539285, 21147669, 216228118, 436645153, 39949637, 272245920, 185903697, 51841478, 127549392, 447545865, 786167527, 101321538, 158735679, 570585111, 49905013, 124972417, 251836186, 72681927, 308848396, 5528881, 106526601, 484486034, 196678114, 452054313, 592975571, 397982910, 98129014, 34775875, 179471924, 6045037, 37915917, 228015186, 416883383, 478838848, 230664241, 7969807, 189214701, 432584942, 131606927, 121142618, 487167543, 11128502, 65080746, 104722467, 349379399, 205267168, 56088204, 283708219, 699009132, 107055693, 52479638, 924006525, 403488263, 156045941, 93224471, 289650758, 44399837, 154773653, 143989921, 45723755, 48669013, 700869637, 216312730, 114032897, 443252629, 41826211, 264493512, 576995425, 74006436, 43573138, 120942694, 31159089, 94151193, 499708702, 64410245, 33373381, 589609969, 134518649, 64628936, 55990207, 35164341, 302329952, 119648467, 240288566, 130058598, 296632600, 238664054, 77874438, 534824062, 620352148, 162226585, 1271659153, 105648214, 295251508, 215891480, 78707398, 208043842, 224365826, 194455763, 158189237 ], [ 24568957, 22529708, 21433009, 71795229, 15700007, 19122126, 151132213, 37137181, 11338106, 111941412, 149011051, 54319919, 29005768, 101475902, 18555558, 102844704, 68076701, 148363555, 63583651, 138673085, 17924228, 88262117, 40709355, 34088334, 20932634, 6727137, 137355885, 8874972, 4139590, 21147669, 172171521, 120073101, 39949637, 178267223, 9919743, 117957690, 94017613, 139459833, 123466888, 194479144, 11142073, 92862550, 82780460, 124972417, 140293622, 181581527, 46963576, 136952360, 99249481, 169784130, 26014536, 210509545, 51243350, 30067172, 47110452, 29246001, 24442330, 6045037, 9761420, 67637061, 307381591, 163526627, 140778873, 7969807, 70164778, 138530312, 131606927, 11729070, 158975681, 8937545, 178495432, 12631605, 144387996, 6740528, 33384915, 29962433, 79603216, 90796451, 10845223, 1081391, 38633454, 33612121, 24766906, 20985205, 179762713, 23136344, 101819630, 133648927, 32125681, 3582477, 66972543, 7492623, 125961407, 19222845, 15727200, 107035927, 62058692, 43573138, 38725004, 31159089, 142721906, 7633770, 64410245, 54564833, 19451382, 4696912, 47583747, 21571738, 34714145, 46780302, 31216632, 135183786, 108892514, 42449850, 87229778, 40457437, 45681510, 18091669, 65373577, 44322097, 32182005, 215030403, 128526424, 46661621, 40782327, 49757387, 54663602, 8385885 ], [ 121536757, 91208041, 11976937, 261561749, 37541064, 32711496, 86877463, 2963064, 44095248, 113450913, 119367130, 68573048, 71615469, 75666424, 25976978, 21736456, 124340353, 136648506, 16111413, 42877873, 29848094, 30364939, 54507159, 5971639, 142821452, 47168326, 9823384, 22422621, 85673659, 21147669, 67549882, 16273457, 113944429, 19490018, 9919743, 15893949, 140274632, 88427717, 23580742, 1910796, 188043164, 6259792, 98787651, 42857986, 75406942, 18939602, 46963576, 117487211, 73122444, 40118035, 26014536, 86665551, 183581333, 62806176, 61661433, 86751626, 16762983, 81327598, 66565022, 186875839, 66163271, 163526627, 166247101, 34955791, 240609884, 6446627, 114914010, 371688398, 16242110, 11128502, 53990024, 31668833, 31607646, 12467909, 186444046, 51136416, 26921739, 22464142, 169109617, 49279826, 76332171, 629887, 24766906, 22395400, 16315739, 14097842, 127657585, 133648927, 61318962, 3582477, 28854300, 7492623, 2224546, 19222845, 85318267, 5229812, 242640728, 14280183, 17207954, 81208466, 25234297, 36104330, 64410245, 55784193, 56046697, 150049881, 71694256, 55492560, 34714145, 39156272, 5157299, 152283894, 108892514, 41886704, 39972636, 77874438, 9457991, 134045925, 39902837, 51565532, 20933357, 63498054, 6464083, 78707398, 89520376, 22005357, 39011870, 75920074 ], [ 27742747, 97085922, 91521943, 44232130, 114473320, 7829423, 36616267, 130453420, 11338106, 111941412, 151853792, 44502570, 29005768, 75935544, 220839074, 40598943, 5620604, 80390154, 51287163, 30087388, 155369916, 46042705, 40709355, 31412054, 17460167, 18948822, 21019883, 8874972, 36979083, 9811063, 24042074, 255559107, 92420806, 91141172, 9919743, 84964468, 66556052, 138768884, 35270250, 65219139, 11142073, 30692901, 19175957, 100226449, 85914331, 37449118, 166347001, 92238215, 95388256, 140828493, 3398686, 5974013, 18418166, 182356569, 47110452, 13802806, 12841373, 308416947, 11163758, 218819939, 38309311, 97305873, 65798875, 56268860, 189214701, 110033079, 131606927, 12512447, 158975681, 11128502, 65080746, 103903037, 26179740, 28358421, 20588532, 51136416, 107516401, 185524520, 106097577, 43506522, 166038909, 83560842, 352259296, 59730645, 67664024, 23136344, 50179512, 143590005, 32125681, 91694860, 142284667, 7492623, 112610509, 19222845, 5265146, 113269742, 12913913, 43573138, 228022515, 32328827, 434941575, 22447868, 64410245, 28666453, 16403774, 60881301, 146392488, 21571738, 35164341, 39156272, 16988394, 118139771, 54272099, 259420844, 184373931, 77874438, 5767030, 101214546, 24346444, 22717768, 108504473, 26772312, 17020563, 78707398, 80028217, 55009097, 55397489, 8385885 ], [ 14107149, 34383241, 44059036, 53684186, 33277103, 1319852, 50325822, 10728620, 47429823, 41997364, 56513301, 55136879, 130130642, 12188205, 57273016, 18429975, 77397723, 901280, 21654249, 23242567, 29984501, 47264113, 54507159, 34088334, 15072477, 3571107, 9823384, 71426055, 55409964, 12673692, 73066442, 16273457, 33744510, 260739326, 10420116, 15893949, 110448611, 3966872, 23580742, 64448995, 107226695, 74514401, 2746479, 15504371, 685270, 18939602, 19848542, 5528881, 129972004, 40118035, 68774826, 5974013, 18418166, 15889489, 59857663, 1166550, 16762983, 131914383, 105047485, 6841837, 43117440, 35379752, 33395442, 15779310, 224513435, 126111477, 77986125, 47657914, 16242110, 11128502, 57604465, 131077855, 16950518, 11856924, 55101405, 144881819, 142157452, 100991314, 108862183, 14443278, 49030490, 19213264, 24766906, 36526118, 9366103, 306450, 38520287, 7014981, 48669013, 18995160, 23272968, 51516234, 8702321, 19222845, 25784813, 5229812, 16537407, 15323433, 8006431, 33298379, 38645547, 52668225, 64410245, 19316330, 29018348, 15201335, 36937843, 43313435, 1070891, 68911876, 17449333, 58765380, 86389989, 14938592, 154271474, 39340313, 9457991, 9219250, 18050038, 40693849, 26880886, 277962867, 87110961, 78707398, 16850490, 45228415, 39011870, 20795764 ], [ 14107149, 22529708, 24702189, 22543064, 72510157, 32711496, 202929330, 10728620, 47429823, 173141285, 150685462, 74243328, 34015098, 62222261, 12989194, 75209797, 16975223, 79589612, 51287163, 80858245, 8048060, 41601143, 54507159, 25802137, 142821452, 47168326, 70439458, 261615085, 85673659, 21147669, 145809542, 20613682, 33744510, 25195136, 56912035, 5875042, 98866994, 152442138, 23580742, 1910796, 11142073, 74514401, 114412716, 124972417, 39598691, 97557250, 46963576, 76628932, 212705378, 71352948, 26014536, 52749008, 44274696, 63270843, 65220574, 29246001, 23654991, 280520450, 11163758, 53840424, 35055757, 49707186, 5878601, 76604650, 147918172, 23458859, 131606927, 29096073, 16242110, 11128502, 18298946, 104722467, 147884076, 49039324, 219643383, 153269805, 83444097, 24505773, 113144666, 108979105, 129403970, 19213264, 24766906, 14250187, 293218718, 64360652, 128780977, 1507297, 20337306, 73828439, 23272968, 162407247, 77572742, 19222845, 11233661, 86718067, 203621790, 43573138, 122020517, 70313480, 25234297, 143406921, 37448461, 134221558, 63531867, 62974186, 47583747, 135052284, 35164341, 14671956, 49795860, 43746351, 5394529, 61402825, 22984477, 77874438, 150752157, 329226290, 162226585, 31463377, 51613150, 277962867, 98357153, 4034821, 16850490, 49757387, 39011870, 141594469 ], [ 202337531, 73957937, 54541532, 85263052, 33534602, 145938750, 151132213, 10728620, 1554397, 85655049, 119367130, 74243328, 29005768, 75935544, 81313486, 18429975, 35635354, 113128695, 46959627, 138673085, 8048060, 30150151, 54507159, 4431609, 31517016, 47168326, 177089631, 20196940, 85673659, 21147669, 131766258, 23768020, 108507156, 91141172, 5452991, 107832548, 16056025, 123639321, 23580742, 61987849, 42147465, 74514401, 2411081, 124972417, 3538355, 61267603, 46963576, 33815327, 273497074, 45529521, 26014536, 5974013, 18418166, 6859257, 46637995, 54791462, 26920323, 22511935, 11163758, 142261518, 35055757, 73816208, 5878601, 126875391, 339459468, 5954598, 110304335, 20876282, 24213033, 11128502, 18298946, 46784583, 449752115, 49039324, 238622026, 306505824, 114466415, 24505773, 67113186, 43506522, 93647738, 30477930, 24766906, 14250187, 73867995, 111048084, 86747410, 34969278, 20337306, 73828439, 216535386, 7492623, 77572742, 19222845, 264493512, 5229812, 74006436, 43573138, 28962659, 31159089, 280928426, 57329203, 49269087, 54564833, 40464, 94484605, 3435798, 135052284, 35164341, 9198992, 19902972, 152283894, 1250663, 194919342, 14117719, 77874438, 49174814, 231635349, 39902837, 22717768, 166885445, 27031646, 77704123, 44636224, 80028217, 166270172, 15608376, 27466041 ], [ 90265107, 2248874, 18919688, 51594079, 136245013, 7829423, 95664905, 40703497, 47429823, 130105926, 11836062, 74243328, 71615469, 19613813, 12989194, 34146926, 83047635, 44778422, 67004930, 20705553, 69861726, 15266729, 7192050, 34088334, 169536768, 47168326, 70770936, 35306425, 4139590, 6847388, 145809542, 9444588, 40148963, 19490018, 9919743, 66945088, 37182016, 115337340, 562100, 61670470, 82445166, 30692901, 72772030, 41882169, 39853586, 43156419, 3890878, 100687292, 8380530, 54615929, 27794976, 5127819, 44274696, 2006673, 74241463, 86751626, 23654991, 6044690, 54215809, 73831728, 123106573, 65863399, 75603188, 14274971, 28367226, 4770883, 69275328, 3498867, 94420609, 11128502, 81048222, 134418637, 2585693, 12467909, 165033130, 57292505, 1375471, 36564773, 40974264, 19249411, 68346624, 48006655, 11914058, 58330475, 64355996, 23136344, 50384932, 40892670, 136338861, 73785543, 28854300, 7492623, 80374169, 19222845, 11233661, 5229812, 9904138, 34104171, 114348028, 30702354, 67515067, 79870237, 64410245, 45051428, 45652776, 62974186, 74355201, 32040527, 12821873, 48503409, 8198026, 18245555, 17980645, 9454518, 30851990, 77874438, 3124469, 5300437, 39902837, 73479809, 192006016, 67476139, 6464083, 78707398, 7940278, 7517031, 54663602, 39706242 ], [ 297616339, 25627318, 113505080, 74511019, 33452807, 19122126, 49334774, 134560764, 245478683, 280269153, 119367130, 8790025, 71615469, 43984272, 81313486, 65353402, 18518610, 38234538, 19948909, 282321650, 57071156, 15266729, 21425487, 177164848, 8151623, 82412900, 16674892, 213895079, 4139590, 45230140, 32318278, 29262303, 130629805, 169626572, 9919743, 8711971, 210435119, 12448949, 240537181, 123486654, 158735679, 13424672, 98787651, 53333722, 195032520, 139644602, 9383723, 138348553, 76512819, 190935124, 287546880, 87331021, 12789386, 556676058, 2219404, 86751626, 17500540, 6044690, 14648640, 48186888, 236711869, 96510512, 72714146, 7969807, 8529026, 23458859, 81312356, 281901275, 21364041, 11128502, 109538670, 35655366, 43007569, 60270550, 37738733, 23960254, 78164588, 23355992, 51533679, 19249411, 38204917, 26621193, 103800004, 59697276, 143101784, 23974405, 129190688, 81671261, 18592037, 45315856, 208188879, 7492623, 191273026, 19222845, 39028716, 5229812, 3026969, 43573138, 111141542, 31159089, 180219892, 64228464, 40305374, 54564833, 3680209, 112277713, 46887196, 257070657, 35164341, 94194490, 85809652, 24359092, 82934759, 38949872, 151993672, 77874438, 14187457, 65438270, 39902837, 22489693, 89250886, 6524247, 48791520, 78707398, 7940278, 166270172, 54663602, 158189237 ], [ 48319627, 75324996, 40672129, 238317939, 136245013, 7829423, 81223123, 122038936, 110370818, 94492890, 42522121, 74243328, 71615469, 271117577, 210261717, 24380805, 340212988, 148363555, 5312691, 138673085, 29984501, 490490671, 54507159, 34088334, 41384463, 9372208, 52163004, 8874972, 10837950, 21147669, 90105736, 23768020, 33744510, 65898203, 9919743, 332735206, 27094788, 175444902, 163467739, 186766818, 108687630, 147674342, 2411081, 124972417, 141380434, 73582730, 96557304, 142902414, 102949115, 92427911, 26014536, 10030682, 142982744, 49539256, 47110452, 344019214, 90633806, 66324518, 82788461, 129046407, 159058351, 75913829, 33395442, 72803949, 472877869, 51402350, 131606927, 188693748, 180184322, 11128502, 252732285, 287238765, 408086881, 272079305, 66135849, 29962433, 3944475, 90102240, 86434487, 49366835, 108157408, 19213264, 281686888, 152145799, 12184028, 23136344, 126794496, 143590005, 149505900, 373682473, 31751846, 4145968, 127832977, 257779803, 25784813, 113269742, 157134313, 43573138, 4455127, 164376386, 141873989, 65799070, 6110765, 182947538, 239160166, 42055225, 67413215, 98025557, 331590962, 171709952, 43458299, 36141624, 108892514, 29386763, 303024978, 77874438, 82300461, 231635349, 162226585, 94962878, 93892993, 363992542, 27253936, 122513525, 296646316, 142619239, 141544779, 82023210 ], [ 24048299, 123456286, 31671979, 112502755, 98494028, 7829423, 101328208, 92093921, 22664834, 238957310, 126992149, 15642840, 13688128, 75666424, 110703301, 138135847, 123709971, 290699763, 51287163, 57593823, 27516842, 11586680, 48133062, 34088334, 223173177, 124825443, 9786471, 29390124, 4139590, 9811063, 182484876, 61524063, 176707072, 15439603, 273518082, 2444068, 289694954, 146084899, 24318492, 194479144, 9632481, 39668587, 43541171, 124972417, 196490833, 181581527, 158557349, 14156480, 389870615, 40251806, 28819761, 38680821, 39362456, 22780409, 98129014, 13802806, 15352498, 34742023, 14648640, 99788052, 347030987, 490605996, 35751879, 19301181, 35286264, 137077539, 326825321, 65639632, 174174712, 11128502, 415249929, 103903037, 26179740, 60270550, 55096709, 49670432, 12803681, 62078491, 49381587, 19249411, 22870497, 100430043, 113734689, 26791723, 32908317, 23136344, 192082432, 143590005, 52424576, 46757425, 93734321, 76524977, 45379526, 19222845, 163961914, 24597728, 86017614, 43573138, 22484440, 32328827, 218200101, 22447868, 64410245, 132992065, 150077535, 161750691, 48366876, 128326908, 35164341, 201598130, 364340403, 40827993, 1957091, 85561760, 162901039, 46678962, 14187457, 240264722, 24346444, 8327535, 177096781, 67476139, 142662399, 4241466, 208043842, 43081569, 16683152, 158189237 ], [ 357337371, 50914980, 113505080, 311917730, 125013236, 7829423, 95112566, 315969607, 47429823, 1018292348, 151853792, 55136879, 290033001, 32351205, 185430868, 106114199, 98507634, 358417988, 143119077, 128972561, 4452500, 46042705, 48133062, 34088334, 18345311, 3834772, 202725313, 266029626, 408644154, 115860920, 182484876, 320413667, 28190702, 260392216, 490561663, 22598478, 121620743, 90589342, 182399285, 194479144, 85422202, 39668587, 49905013, 124972417, 141293504, 36577497, 46963576, 5528881, 106526601, 137543558, 178593875, 402170395, 246096465, 19460286, 17366602, 10654555, 138122503, 71019915, 14648640, 186875839, 144405045, 97305873, 41986074, 27507326, 261140356, 152204219, 107754139, 188693748, 152511139, 11128502, 271383296, 433532996, 389392982, 145465920, 14712411, 78124640, 3944475, 727213781, 95255415, 108979105, 114737218, 156045941, 24766906, 26791723, 44399837, 23136344, 126794496, 45723755, 48669013, 128639937, 780673667, 2933573, 290741195, 127285520, 97838497, 165881465, 498197532, 43573138, 85159308, 32328827, 488305063, 151947809, 64410245, 28666453, 100601120, 2904225, 160122026, 291330493, 35164341, 4954867, 364340403, 459201548, 93898343, 52640602, 15882741, 77874438, 14187457, 583043134, 245141266, 51565532, 271186117, 295251508, 142662399, 78707398, 674960, 412040304, 15170477, 28598678 ], [ 50473785, 97085922, 9024081, 28226471, 84308291, 7829423, 11334436, 55032171, 135195683, 68809388, 96980276, 74243328, 71615469, 5734355, 14676184, 100705330, 45439897, 70263422, 126253750, 89699758, 127567768, 65473172, 54507159, 34088334, 186710977, 14229681, 2951290, 227920999, 4139590, 21147669, 182484876, 9825711, 34534853, 90961544, 9919743, 51841478, 85660278, 146084899, 31483562, 109689335, 188043164, 100377335, 49905013, 17432100, 140293622, 6676824, 90365535, 145062040, 58222733, 86493504, 9640565, 15798626, 28235858, 2230390, 19552087, 27497054, 75458823, 71019915, 14648640, 189267697, 3042389, 139687034, 43978709, 35859380, 113507562, 8553471, 48943212, 49338981, 17798266, 11128502, 140177897, 27893575, 7862580, 60270550, 20588532, 10965644, 24173548, 51355122, 29617518, 19249411, 107238380, 156045941, 205135835, 61282264, 32908317, 23136344, 63952292, 3870933, 3730805, 45283434, 1325224, 7492623, 34346460, 19222845, 15272083, 62587215, 113461032, 43573138, 155465898, 3962925, 94151193, 28210224, 64410245, 28107, 35457679, 78143032, 19570961, 5140223, 35164341, 32049226, 242223572, 88438720, 7717731, 6548385, 186019580, 77874438, 14187457, 9219250, 43538294, 83135938, 46615755, 56852491, 12464317, 4241466, 127778075, 7742006, 35388483, 59881781 ], [ 155654907, 22529708, 40672129, 64949304, 96333112, 29709941, 7641526, 24077093, 47429823, 21515915, 68735410, 55136879, 1954083, 5734355, 5464742, 69799841, 45439897, 70263422, 51287163, 56392526, 136793762, 32527896, 54507159, 34088334, 72346454, 9372208, 106129378, 75995835, 4139590, 9811063, 182484876, 100744432, 84218014, 84314686, 19500119, 22598478, 89979232, 34023506, 240537181, 29478518, 20438648, 39668587, 41294548, 124972417, 81775178, 6676824, 8899107, 145062040, 58222733, 27708256, 26014536, 10030682, 78451727, 11660676, 19552087, 13802806, 26847428, 7865970, 14648640, 34775179, 3042389, 56980432, 26922856, 32499012, 139566993, 114958279, 9903185, 3934247, 203267202, 11128502, 22704879, 91986469, 26179740, 2856856, 29093319, 185657369, 3875611, 92990750, 95255415, 19249411, 3914214, 629887, 24766906, 31619365, 77984922, 18500226, 78457301, 8768302, 18547000, 5362144, 31751846, 4145968, 45960706, 19222845, 69983407, 42028503, 113461032, 43573138, 142714957, 3962925, 207472463, 22447868, 52718830, 28107, 51408379, 47788533, 19570961, 43313435, 16144991, 55317840, 155063158, 55852104, 20975718, 75305866, 34724323, 77874438, 14187457, 9219250, 24346444, 51565532, 51613150, 27111434, 6067163, 64906958, 11770568, 49757387, 35388483, 54727878 ], [ 6925873, 75324996, 113505080, 223560090, 125013236, 7829423, 81223123, 92456445, 47429823, 280269153, 26980973, 5676001, 66162198, 39175709, 57273016, 24380805, 98507634, 148363555, 5312691, 97981438, 29984501, 46042705, 54507159, 34088334, 41384463, 47168326, 53888858, 15306441, 4139590, 98455822, 109052921, 23768020, 71562690, 6794983, 72347838, 22598478, 21071992, 90589342, 163467739, 109689335, 183119693, 39668587, 2411081, 124972417, 57221722, 73582730, 46963576, 145062040, 89319743, 92427911, 26014536, 35578335, 71557563, 49539256, 64706933, 177120373, 75770217, 71019915, 14648640, 77008706, 75983765, 48287149, 33395442, 48164330, 25872681, 23458859, 63243246, 12512447, 36603489, 11128502, 109538670, 94246456, 233304265, 48118407, 33384915, 116247650, 142157452, 4232416, 95255415, 1081391, 209124860, 73455007, 24766906, 131598524, 12184028, 4804257, 19628081, 134674203, 52984891, 73828439, 1357031, 114032897, 35881988, 127285520, 5543871, 65146730, 4214320, 43184542, 58607856, 25900532, 138193814, 9498304, 46124803, 114835017, 208264409, 4696912, 67413215, 21571738, 35164341, 28840007, 26595740, 208025454, 110012260, 110223956, 296874181, 9524705, 14187457, 9219250, 245141266, 51565532, 271186117, 44273980, 27253936, 78707398, 74621554, 201564972, 36482792, 158189237 ], [ 90954, 38167608, 9024081, 36703392, 136245013, 117181016, 81223123, 222700040, 25044537, 16677736, 119367130, 55579375, 65498852, 3367344, 57273016, 157294925, 12103924, 70263422, 195612471, 56392526, 29984501, 46042705, 52292132, 34088334, 31517016, 117016792, 17558543, 46274253, 4139590, 21147669, 34469220, 1452202, 176707072, 19490018, 22427269, 52512232, 59625208, 70466804, 53513690, 36700884, 85422202, 17280545, 90863792, 93323456, 99380623, 10151165, 76201066, 124994686, 6687038, 85786520, 4687039, 10030682, 161036725, 49755262, 17366602, 86751626, 106519943, 22632365, 14648640, 31897130, 3042389, 56202485, 31105774, 19301181, 347559910, 23458859, 77986125, 20876282, 63046026, 11128502, 22704879, 25741311, 43998752, 12467909, 61216899, 28328164, 3944475, 34125965, 51951751, 19249411, 94383754, 629887, 29162022, 52532089, 6525405, 23136344, 13431390, 143590005, 16187715, 73828439, 28854300, 4145968, 23401976, 19222845, 87768682, 29993867, 44055985, 43573138, 65042441, 9350717, 207472463, 15546031, 22173503, 28107, 165357810, 150049881, 100143768, 43313435, 35164341, 147695036, 31533926, 202764009, 1250663, 13069568, 77819964, 58634014, 14187457, 9219250, 85069360, 78668728, 7805551, 67476139, 6464083, 20809248, 70979084, 31128358, 31793882, 59881781 ], [ 73278332, 13262061, 58499433, 36952558, 30266111, 28097237, 82241178, 527077, 37381873, 184870718, 151853792, 74243328, 71615469, 150624059, 57273016, 44608379, 12103924, 143954271, 35319170, 138673085, 127567768, 257428240, 54507159, 34088334, 8151623, 24683476, 16674892, 71426055, 10837950, 21147669, 32318278, 9825711, 130629805, 19490018, 9919743, 26992503, 16958417, 19319597, 240537181, 19421974, 82310925, 9182292, 41294548, 103559341, 92458614, 116921833, 181100838, 76487225, 109602640, 140828493, 26014536, 87331021, 12789386, 42275867, 17366602, 29629811, 179471924, 57345974, 198937310, 46977691, 64474081, 163526627, 90223625, 72803949, 180005608, 51402350, 107754139, 66765001, 50326426, 11128502, 94932526, 104722467, 7862580, 12467909, 27303075, 9022951, 13513739, 15037706, 86434487, 64804402, 73013105, 28654178, 203667260, 406450550, 6525405, 23136344, 37019184, 97802999, 6061460, 73828439, 1325224, 7492623, 8702321, 3742469, 87768682, 66990930, 196095655, 15323433, 4455127, 17515521, 60341589, 354367049, 48659214, 81962465, 25781191, 47516633, 69484981, 85693366, 35164341, 81377413, 43644912, 152283894, 82311908, 173492328, 144199753, 71561743, 122363455, 18004222, 50340855, 22717768, 220510134, 143325776, 6464083, 39724630, 168729158, 61796311, 64448504, 53328815 ], [ 64545848, 37116659, 26399766, 150233246, 136245013, 32688437, 40798206, 55032171, 194657306, 62138522, 11479630, 74243328, 8799657, 75666424, 233487062, 54961258, 36506881, 70263422, 51287163, 7746017, 13769529, 317877903, 54507159, 71558825, 21497284, 46559750, 172065782, 112290749, 4139590, 9811063, 15373349, 247786119, 47875598, 293254629, 9919743, 22598478, 70535585, 175444902, 28832570, 26723723, 11142073, 83760977, 49905013, 124972417, 107877929, 46506850, 191320393, 17228063, 154281418, 7867055, 26014536, 8515043, 2183628, 236954800, 19552087, 13802806, 179471924, 6088663, 11163758, 154651488, 3042389, 376282413, 33395442, 18615277, 125065307, 23458859, 139251489, 11729070, 41872673, 8937545, 140798444, 65611756, 26179740, 60270550, 27303075, 29962433, 44627856, 220678983, 29617518, 19249411, 78255223, 33612121, 205135835, 61282264, 135747292, 23974405, 143989921, 69289685, 223189329, 73828439, 125160073, 7492623, 115071558, 108569573, 15272083, 5229812, 113461032, 36397129, 163430255, 81208466, 92733847, 22447868, 64410245, 28107, 29603894, 36643396, 160122026, 43313435, 35164341, 94194490, 43458299, 152283894, 108892514, 194919342, 263701566, 77874438, 14187457, 9219250, 19888394, 51565532, 74862275, 42850246, 35587235, 78707398, 208043842, 142619239, 35388483, 158189237 ], [ 1420552, 2112392, 38302858, 27899268, 4739459, 7829423, 41440627, 10728620, 47429823, 71013518, 119367130, 74243328, 16948464, 12188205, 57273016, 54961258, 7913937, 94224087, 21654249, 28941804, 136480031, 139394928, 7097485, 34088334, 14533353, 47168326, 58205030, 61910425, 11231027, 21147669, 15373349, 16301216, 11368222, 19490018, 9919743, 22598478, 140274632, 134325217, 23580742, 51651074, 160630423, 74514401, 98787651, 89073752, 39853586, 11684360, 11703131, 33027000, 38244609, 52133795, 68774826, 58088469, 149756637, 67955405, 26675367, 29246001, 62931609, 74759716, 154114765, 37539156, 64474081, 76055172, 85037976, 80842483, 189214701, 23458859, 12232, 49958519, 94420609, 11128502, 141411396, 28228757, 2585693, 12467909, 10708203, 43964247, 94950076, 62078491, 36898656, 26225179, 76332171, 19213264, 24766906, 11030137, 10116445, 12526600, 50466096, 33878282, 85715657, 73828439, 28854300, 7492623, 47854487, 19222845, 25784813, 90881630, 34591878, 5491309, 21718788, 81208466, 24868546, 69112402, 1702350, 51017854, 34907452, 66126466, 47583747, 133795562, 3352651, 63829230, 111978330, 13449488, 15506915, 49481769, 15417108, 2677113, 14935790, 92569936, 73324260, 31016044, 10094996, 67476139, 6464083, 48321428, 20069025, 49757387, 34395922, 4643354 ], [ 42188445, 22529708, 29951830, 27899268, 70066069, 7829423, 78995092, 10728620, 47429823, 71013518, 11479630, 74243328, 11697968, 13920403, 110893269, 4827209, 7913937, 131756220, 51287163, 113435144, 1641430, 17955149, 9465355, 13401938, 15072477, 26934794, 13003503, 9907849, 11494984, 9811063, 15373349, 1452202, 111407, 18884057, 9919743, 107832548, 16958417, 2755128, 16569881, 26723723, 12737993, 8336817, 15986411, 67666308, 39853586, 11684360, 11703131, 2372828, 81479756, 78224680, 7446832, 58088469, 15067617, 100749178, 19115096, 13802806, 27592648, 10537101, 120454991, 23291828, 33190646, 163526627, 18155252, 39251500, 24189985, 17474196, 2296900, 7288644, 94420609, 11128502, 93913472, 104722467, 2585693, 8095366, 56088204, 77334314, 44212882, 25369199, 14083309, 26225179, 29059427, 46523739, 7386870, 45077948, 5633180, 7070746, 5221410, 97802999, 60079774, 5362144, 28854300, 7492623, 33739783, 19222845, 16862142, 5229812, 33887047, 32151568, 21718788, 11632480, 24868546, 22447868, 20159442, 15381447, 29603894, 20930447, 37777892, 62486712, 34221970, 94194490, 49678368, 18245555, 8225760, 75222315, 64721538, 77874438, 88985638, 5217714, 24346444, 93138857, 10094996, 67476139, 6464083, 3201161, 70979084, 26045773, 13252763, 4643354 ], [ 24568957, 83328899, 91521943, 66718259, 33277103, 48019938, 64387108, 130453420, 11338106, 40737803, 11479630, 55136879, 11697968, 72957521, 436772485, 66394930, 18518610, 78537317, 63094669, 128972561, 69861726, 139394928, 54507159, 5029137, 8151623, 40058686, 185996586, 18140653, 36979083, 9811063, 143432448, 54229354, 66511667, 65706215, 9919743, 56743378, 140274632, 23737069, 60851301, 194479144, 12737993, 19494935, 61783609, 84396464, 141293504, 73983838, 46963576, 5528881, 100517881, 228542289, 26014536, 87331021, 12789386, 21139736, 74241463, 13802806, 127813509, 57345974, 148700907, 163195898, 98807274, 97305873, 166247101, 17485048, 46219111, 61727394, 107118962, 11729070, 50326426, 8937545, 81048222, 41574427, 26179740, 97447020, 144243885, 76258876, 31236690, 186054886, 19353368, 102085800, 61986788, 33612121, 6488399, 57259835, 172655837, 18875018, 114447708, 25723610, 6355826, 73828439, 94190606, 7492623, 8702321, 19222845, 190072701, 39694034, 5674697, 15323433, 95478862, 3563249, 19252734, 22447868, 64410245, 28666453, 165357810, 288001132, 18918834, 6229215, 35164341, 48503409, 8198026, 152283894, 108892514, 26677713, 279353583, 71561743, 82300461, 266470597, 24346444, 94962878, 32182005, 54314133, 35587235, 78707398, 161201582, 284508688, 57156642, 8385885 ], [ 48319627, 8404193, 124095994, 35722677, 136245013, 7829423, 93452384, 315969607, 74851581, 437778517, 42522121, 74243328, 71615469, 278074373, 734370717, 71167525, 228736908, 131756220, 5312691, 138673085, 124590288, 46042705, 54507159, 34088334, 21497284, 48712956, 92794627, 109373273, 42009311, 276719697, 182484876, 17945446, 130629805, 584803331, 9919743, 15006975, 363853877, 178958098, 163467739, 101321538, 457716037, 39668587, 98787651, 124972417, 251836186, 72681927, 195170498, 82196489, 7854236, 224854834, 26014536, 308659014, 246096465, 49539256, 98129014, 5582626, 179471924, 17472664, 66967279, 15659086, 247052010, 163526627, 53380372, 240335432, 601489572, 42677988, 438754546, 121142618, 223217071, 11128502, 47738403, 154347737, 349379399, 179989124, 212348975, 116247650, 579719019, 185524520, 169109617, 53956192, 334235957, 180617129, 33224605, 70697452, 12184028, 23136344, 100684135, 143590005, 52984891, 146610478, 399090091, 7492623, 216407256, 142267406, 62289908, 5229812, 242640728, 36397129, 272014843, 32328827, 300599081, 61461740, 64410245, 284901163, 265958825, 42055225, 160122026, 145603465, 35164341, 94194490, 364340403, 152283894, 108892514, 40907352, 364255875, 77874438, 88985638, 784465816, 39902837, 94962878, 105648214, 229862691, 35587235, 78707398, 119205910, 224365826, 177324049, 158189237 ], [ 357337371, 13262061, 40672129, 35242494, 124208477, 7829423, 81223123, 3281703, 47429823, 537206508, 119367130, 33949053, 23786053, 72560605, 57273016, 199754137, 76141940, 131756220, 14248063, 28941804, 29984501, 85901067, 54507159, 34088334, 21497284, 47168326, 86275812, 100116168, 4139590, 161050280, 182484876, 152572608, 44581152, 49782697, 22796933, 107832548, 37182016, 90589342, 9985536, 194479144, 58868433, 124550739, 49905013, 119511733, 141293504, 10151165, 46963576, 145062040, 57139815, 85786520, 26014536, 10030682, 40043021, 43040686, 17366602, 10654555, 53774774, 6044690, 177356704, 149653581, 198566947, 163526627, 33395442, 207725771, 28367226, 4770883, 107754139, 112192405, 21364041, 11128502, 12179471, 35655366, 104330210, 59467860, 105449809, 51136416, 93457405, 25369199, 47033036, 19249411, 262056650, 87271859, 5464010, 152145799, 164973595, 23136344, 143989921, 81671261, 60079774, 23140184, 191962791, 74765455, 23401976, 19222845, 16862142, 5229812, 49803073, 36397129, 185733669, 156266411, 170356626, 43714700, 22173503, 114835017, 165357810, 150049881, 102658799, 190446814, 26894823, 39156272, 31533926, 116903998, 17980645, 194734734, 144199753, 77874438, 84096321, 171838871, 7205021, 73111542, 7805551, 8764863, 12873560, 74712292, 33761800, 27894525, 54663602, 97882522 ], [ 4944275, 81837750, 60354414, 27899268, 18810581, 7829423, 148060788, 130453420, 11338106, 64051303, 37497957, 50368910, 86848865, 12188205, 190711293, 2485275, 35635354, 44778422, 23536230, 138673085, 7183235, 46042705, 16621108, 34088334, 21497284, 14229681, 58205030, 159392171, 36979083, 9811063, 90105736, 11712567, 33744510, 1422517, 59835873, 100200947, 140274632, 1564197, 127327151, 129555925, 48001691, 19494935, 114412716, 84396464, 56922905, 11684360, 12334481, 14156480, 57139815, 212809955, 26014536, 58088469, 31024540, 29646401, 74241463, 13802806, 2009760, 34742023, 107910322, 16330527, 61606123, 163526627, 17095974, 64593191, 83584128, 137077539, 42737403, 3059227, 80335514, 2601584, 101377208, 54107700, 21001024, 6787830, 6528865, 10830923, 74581933, 22464142, 80840877, 2095112, 197633367, 19213264, 15601670, 29074395, 5633180, 23136344, 22060133, 40006518, 13962501, 73828439, 1514068, 92053933, 33788022, 19222845, 25784813, 5229812, 9904138, 1995512, 21718788, 11632480, 61104428, 22447868, 21893811, 87522353, 58610343, 163717411, 115721771, 55492560, 26894823, 94194490, 106883164, 173039956, 27261670, 69208424, 54283146, 15307900, 6292514, 102834534, 24346444, 87546834, 112368064, 23519457, 35587235, 10815772, 30739048, 51706520, 13252763, 8385885 ], [ 20355458, 13104640, 37522498, 27899268, 33277103, 753563, 14983444, 121042793, 183766381, 71013518, 92791342, 33949053, 16948464, 12188205, 23609316, 51959001, 40855158, 131756220, 63094669, 131129715, 1641430, 11649343, 7097485, 78457523, 21497284, 117016792, 58205030, 31043805, 4139590, 21147669, 15373349, 16301216, 11939720, 7359661, 9919743, 14246764, 51447786, 78204615, 9985536, 63654164, 70644866, 102503670, 98787651, 31729663, 18334044, 11684360, 6684714, 11207051, 84387194, 31194521, 26014536, 43669082, 45328380, 13392175, 5206059, 11735842, 17500540, 46430333, 29545950, 33823205, 64474081, 24218557, 33395442, 17485048, 24189985, 4770883, 12232, 52475837, 65801535, 2292078, 38757949, 3453250, 2585693, 60270550, 171632940, 38454805, 23737771, 22464142, 14083309, 19249411, 76332171, 19618925, 20229254, 186119708, 5633180, 10944660, 5221410, 40006518, 106318666, 73111768, 2608204, 7492623, 8702321, 19222845, 153826788, 5232805, 3361873, 15323433, 21718788, 98221047, 31953348, 79870237, 21893811, 174160354, 15078191, 10148911, 192028248, 55492560, 43070149, 163379014, 31533926, 18245555, 17980645, 75222315, 23536374, 162911, 221657, 99116131, 66785635, 11442245, 10094996, 9601057, 35587235, 16251376, 12395676, 35560267, 51219211, 119532830 ], [ 24568957, 75829907, 91521943, 35242494, 82165241, 753563, 14983444, 18737008, 47429823, 16677736, 46597831, 38819351, 71615469, 12188205, 36205077, 21736456, 42219248, 131756220, 21332256, 92351275, 97304613, 35107146, 52726157, 34088334, 21497284, 14229681, 9823384, 31043805, 4139590, 19237875, 171188731, 4276608, 168067667, 65932293, 9919743, 14246764, 57769268, 65110534, 37541887, 37153598, 161630182, 18668596, 98787651, 21087198, 7150152, 30626675, 46963576, 14156480, 84387194, 3728851, 6266940, 29048725, 40043021, 150877332, 19115096, 84462441, 26317558, 34742023, 14648640, 186294807, 191511429, 24643627, 38504136, 48164330, 83584128, 152204219, 8967896, 20876282, 5659178, 11128502, 80149791, 48795779, 16407366, 6787830, 122229226, 116247650, 45763281, 36898493, 38623887, 19249411, 93660004, 79544848, 24766906, 39914296, 5633180, 23136344, 33266761, 40006518, 23324945, 73828439, 25901517, 7492623, 10225545, 19222845, 51254402, 65146730, 63781119, 36397129, 21718788, 69949580, 61104428, 79870237, 21893811, 15381447, 165357810, 90330258, 10649052, 43313435, 35164341, 83203613, 31533926, 27787531, 33042149, 15844133, 81760361, 54885054, 14187457, 9219250, 114234826, 83135938, 139387933, 67476139, 35587235, 35781802, 91396856, 51706520, 54663602, 81159617 ], [ 224415304, 13262061, 37522498, 165983611, 136245013, 7829423, 45574660, 117250155, 11338106, 124515762, 19755053, 30646415, 71615469, 90099730, 57273016, 10794703, 35635354, 78097557, 28464352, 6868206, 8231188, 96995510, 19706803, 16439853, 84389921, 89777462, 1423423, 68187708, 16651970, 2375677, 90105736, 26870932, 11939720, 19490018, 9919743, 18914570, 16958417, 118174963, 45639195, 194479144, 188043164, 124550739, 19412824, 124972417, 39853586, 92174743, 6684714, 43041615, 207429271, 1792060, 26014536, 87331021, 184495468, 21139736, 18496118, 13802806, 17500540, 134823790, 66967279, 68004472, 22719135, 157094857, 166247101, 54363605, 80829125, 8767110, 70797506, 121142618, 94420609, 11128502, 65080746, 110631112, 2585693, 12467909, 137897006, 38454805, 367336929, 90102240, 13175497, 187113097, 14975300, 7369407, 18614411, 29012055, 137891161, 23136344, 129190688, 99141108, 58627772, 73828439, 28854300, 7492623, 109763070, 19222845, 119085392, 5229812, 242640728, 2380324, 257173009, 139996173, 13853804, 13969355, 21893811, 18143679, 165357810, 60476281, 127061984, 73907714, 12821873, 94194490, 31533926, 18245555, 40955878, 21965469, 144199753, 7398281, 123359600, 133875519, 24346444, 90507478, 123366204, 34742766, 6464083, 16251376, 61286888, 45568316, 104040177, 8385885 ], [ 24568957, 36539407, 43139594, 30637130, 136245013, 117181016, 60053269, 121042793, 38287591, 10166498, 92791342, 106404828, 26224860, 267067719, 57273016, 110662921, 36090254, 78097557, 7011872, 128972561, 274219147, 46042705, 44698635, 34088334, 116257715, 47168326, 231150847, 224562856, 145167240, 204697674, 64635992, 29057547, 111546882, 91141172, 22427269, 107832548, 140274632, 122651829, 126972975, 101321538, 85422202, 17280545, 84011763, 300003032, 57649619, 10151165, 46963576, 5528881, 154823277, 1622825, 26014536, 86665551, 211481240, 49755262, 17366602, 10654555, 22877542, 290314102, 239623938, 16054425, 303866861, 116552131, 166247101, 173936168, 28719645, 350226579, 78051294, 142246769, 63046026, 159036945, 151575764, 104722467, 164136302, 226086838, 105449809, 201157917, 23737771, 76425622, 101318408, 108979105, 5105700, 19618925, 24766906, 410737707, 132605470, 23136344, 47933954, 40006518, 36523646, 136403541, 89650984, 209727683, 23401976, 94201388, 97838497, 5229812, 47946239, 43573138, 61738332, 32328827, 13853804, 115583993, 22173503, 33373381, 21421623, 134518649, 36849268, 169085246, 12821873, 94194490, 26874402, 201496898, 93898343, 13069568, 43036461, 77874438, 105983724, 49855642, 39902837, 10524672, 7805551, 286705412, 183488793, 35781802, 11770568, 160722437, 101640432, 86556475 ], [ 24568957, 60186040, 37522498, 30637130, 59555941, 48019938, 41532827, 86963849, 47429823, 14650532, 90727565, 55136879, 22320122, 395263964, 22708600, 21736456, 18518610, 58008113, 134460692, 54183230, 2113526, 60893036, 10966645, 34088334, 8151623, 23604150, 9823384, 46274253, 85673659, 21147669, 17851763, 66346567, 11939720, 86439671, 9919743, 15893949, 62666360, 75428251, 182399285, 71450892, 11142073, 7407931, 98787651, 55746007, 78005368, 177798394, 6684714, 5528881, 81479756, 55088100, 26014536, 35445353, 3002864, 37635859, 74241463, 46189627, 42519407, 38845634, 114916892, 79400751, 39023430, 35379752, 16583842, 15008321, 95862390, 81564991, 69562943, 20876282, 50326426, 11128502, 53990024, 35693120, 27748232, 11856924, 112151712, 64300191, 6261995, 121113019, 39295238, 67138780, 5105700, 51068483, 12545425, 45077948, 2075484, 23136344, 8495258, 80573135, 36523646, 55513661, 75661415, 5193768, 71215954, 2279026, 8190830, 5229812, 8103873, 43573138, 17408166, 91173177, 44910052, 6227883, 64410245, 19316330, 5910747, 6136708, 211457105, 58570577, 12821873, 18875456, 31533926, 18668880, 108892514, 66650274, 47845961, 77874438, 69370192, 10451778, 24745391, 820007, 20933357, 4416646, 17832662, 16251376, 46350896, 35507064, 39011870, 48652886 ], [ 63235793, 37850569, 31682715, 70998739, 127942630, 7829423, 44334184, 55032171, 17872983, 14650532, 11479630, 74243328, 11697968, 9255963, 149359934, 54961258, 124340353, 10053466, 133149299, 25950994, 48757041, 64337077, 33515288, 5548546, 21497284, 12564057, 175787771, 46274253, 4139590, 16212947, 15373349, 29057547, 40472867, 44798675, 9919743, 22598478, 73541817, 15524126, 60851301, 101321538, 19096358, 13424672, 88954935, 70581632, 12104535, 72681927, 313731679, 5528881, 154281418, 143629255, 284757969, 87331021, 55729082, 28863318, 81751156, 40669520, 77833377, 6045037, 14648640, 47555846, 386062655, 30767542, 38504136, 7969807, 59929893, 89133349, 110304335, 20876282, 120193397, 11128502, 168710654, 30933985, 64282781, 60270550, 6876818, 76266573, 1703345, 214823964, 24397799, 6528954, 61986788, 19618925, 93224471, 61282264, 315316446, 23136344, 47933954, 97007749, 48669013, 31631278, 9315550, 7492623, 18222592, 42278755, 54836475, 18997412, 103395150, 36397129, 120942694, 85265522, 18752151, 159235747, 64410245, 28666453, 25593271, 981847, 46887196, 116187027, 41211593, 79165971, 115087527, 129627324, 1957091, 85561760, 43036461, 29711616, 14187457, 2726960, 162226585, 11442245, 18033464, 10996978, 35587235, 250738295, 333147, 14981698, 54663602, 88366879 ], [ 64545848, 97085922, 72257916, 108963641, 34198475, 53865188, 81207248, 20232614, 47429823, 16677736, 3693519, 12363574, 84520594, 18894141, 36592941, 54961258, 7619152, 131756220, 115763592, 91072366, 97304613, 46042705, 7334175, 34088334, 21497284, 14229681, 70439458, 31043805, 4139590, 6847388, 15373349, 29057547, 9023041, 61760852, 24023685, 6401481, 140274632, 15739239, 15322229, 64448995, 78016063, 39668587, 49905013, 14539178, 54873562, 10151165, 46963576, 33027000, 84387194, 52133795, 175009468, 82219332, 43097546, 21139736, 19115096, 10654555, 42519407, 46430333, 31498301, 23291828, 430688358, 35379752, 25408148, 57173112, 758187, 23458859, 58417550, 43317630, 106429045, 11128502, 101058953, 105937093, 10258276, 11856924, 27303075, 8928777, 92828348, 62078491, 36898656, 19249411, 5105700, 19618925, 24766906, 132860826, 5633180, 23136344, 47933954, 80573135, 25634552, 31631278, 30155859, 114032897, 23401976, 19222845, 103034664, 75897377, 42116163, 25672228, 18524312, 32328827, 120085397, 67636068, 22173503, 87522353, 116914776, 90330258, 118407478, 225433962, 90246185, 92632129, 31533926, 20229549, 45902691, 48443922, 43036461, 77874438, 88985638, 57047011, 52303884, 11442245, 7805551, 54314133, 169358437, 35781802, 333147, 2809997, 54663602, 20569385 ], [ 133767379, 309779504, 74388759, 71795229, 136245013, 106473786, 93452384, 281574122, 47429823, 60147822, 126992149, 74243328, 140851848, 92144005, 436772485, 237321294, 365894538, 118754552, 33323390, 128972561, 48757041, 85901067, 54507159, 34088334, 21497284, 47168326, 70770936, 12981255, 85673659, 21147669, 182484876, 16301216, 23937603, 88502392, 126871329, 36560465, 84792618, 151477435, 223265578, 48807174, 126039496, 13424672, 95919152, 744442, 118799871, 72681927, 46963576, 5528881, 73913394, 96256646, 282377029, 58088469, 28551907, 211551143, 2219404, 7498357, 179471924, 348925534, 8909090, 99788052, 79020016, 96510512, 164243119, 23951579, 14519378, 158669185, 131606927, 409591138, 40194446, 11128502, 47738403, 115550342, 59956362, 194348322, 8301896, 235534868, 39107390, 107055693, 285678299, 69209391, 159577275, 26621193, 24766906, 289650758, 63830488, 23136344, 172479042, 143590005, 48669013, 45315856, 178890582, 149185392, 109763070, 19222845, 62289908, 44916132, 12075337, 36397129, 21718788, 67048535, 27835947, 85021603, 64410245, 33373381, 165357810, 36643396, 46887196, 55990207, 35164341, 211353507, 102492610, 19126797, 378503141, 39364724, 126226810, 50231375, 68755628, 488943654, 65373577, 197076841, 105648214, 129407778, 35587235, 34776743, 119205910, 20485487, 8438163, 120849745 ], [ 38041531, 97085922, 91521943, 44525670, 19545057, 7829423, 78995092, 10728620, 47429823, 71013518, 119367130, 69354034, 71615469, 25310052, 72669183, 54961258, 22290686, 10250157, 2576077, 46032413, 20524941, 138227632, 54507159, 34088334, 21497284, 47168326, 123905838, 46274253, 11231027, 21147669, 15373349, 7780593, 11368222, 19490018, 9919743, 80040895, 135491050, 178958098, 9985536, 35659858, 153560906, 25299305, 84011763, 124972417, 39853586, 64278868, 46963576, 5541362, 11745572, 13202634, 26014536, 58088469, 51243350, 21139736, 55289039, 16503922, 54174139, 74759716, 11163758, 3319902, 10098227, 14572170, 48861372, 59464778, 38096779, 4770883, 12232, 9976968, 51979913, 11128502, 119998252, 68940778, 2585693, 12467909, 34106109, 75170305, 19277036, 22464142, 10973827, 68416029, 35219218, 19213264, 24766906, 58854090, 6163357, 23136344, 192082432, 40006518, 14048574, 201946663, 28854300, 7492623, 77572742, 19222845, 25784813, 60525798, 33887047, 20716534, 21718788, 81208466, 24868546, 52802580, 48659214, 31790241, 10664629, 85967105, 10328263, 55492560, 7898609, 302329952, 31533926, 18245555, 17980645, 75222315, 153315196, 17911957, 88985638, 56957322, 19888394, 11520981, 10094996, 54314133, 6464083, 48321428, 148292105, 51017819, 183648095, 4643354 ], [ 21192448, 60078178, 74388759, 453750, 19545057, 7829423, 2561797, 44829003, 11338106, 62138522, 11836062, 34518685, 7976444, 75666424, 41577570, 63008251, 38982419, 44778422, 27552617, 12230160, 29984501, 85901067, 54507159, 34088334, 21497284, 3571107, 10281903, 4086075, 4139590, 9811063, 35615106, 29057547, 11368222, 19490018, 9919743, 22598478, 16974588, 13294212, 107292296, 109689335, 1897816, 1911310, 80363159, 116766531, 91330508, 10151165, 11703131, 31130051, 27658597, 12444039, 9932071, 29048725, 40043021, 21139736, 3646078, 10654555, 4161656, 500064, 29545950, 28456691, 35055757, 24643627, 33395442, 4081438, 28987259, 23458859, 38873091, 3498867, 31056009, 11128502, 40120666, 3453250, 4760458, 336618, 7495322, 116247650, 23737771, 25369199, 101318408, 19249411, 28623770, 19618925, 113817328, 58854090, 15483739, 23136344, 14478024, 69289685, 20337306, 50284468, 7043534, 7492623, 23401976, 19222845, 102852382, 5229812, 5674697, 36397129, 58132665, 30702354, 19252734, 22447868, 21461174, 2842731, 21421623, 58838564, 55135727, 3824292, 35164341, 63829230, 19902972, 27787531, 27261670, 15592437, 22984477, 46186792, 88985638, 9219250, 24346444, 2093685, 1819671, 9601057, 6464083, 48321428, 12395676, 41027365, 40031018, 8385885 ], [ 73278332, 13262061, 31671979, 27899268, 101483262, 83186706, 157367015, 53339978, 11338106, 40737803, 119367130, 33949053, 40131892, 72560605, 25976978, 8604885, 49251772, 10053466, 29159332, 205544598, 62640354, 80782010, 44167442, 16439853, 21497284, 14229681, 21154895, 46274253, 16485353, 21147669, 149230713, 16301216, 33744510, 10859426, 9919743, 7681264, 71870895, 52916695, 9985536, 109689335, 27150548, 10259202, 98787651, 108193503, 71102609, 11684360, 16984205, 98960917, 27658597, 61030699, 4605750, 58088469, 98355276, 11660676, 84521005, 1002402, 80207733, 35165228, 206580784, 11655403, 35213388, 163526627, 121243509, 4081438, 125065307, 4770883, 110304335, 20876282, 136008579, 11128502, 94932526, 93385770, 4760458, 125132419, 137897006, 49670432, 105080894, 59449860, 118533439, 24147984, 265516911, 16603011, 128959630, 140116245, 61016156, 11602440, 15466587, 95664376, 63463530, 50284468, 191962791, 7492623, 116263059, 2279026, 25784813, 5229812, 215168593, 36397129, 17408166, 10832589, 161560708, 222050648, 56306782, 154933537, 142808588, 134968746, 1030147, 6229215, 77975666, 81933308, 31533926, 5418964, 17980645, 194734734, 19362461, 77874438, 56487388, 9219250, 39902837, 7574241, 51613150, 15816928, 35587235, 35779912, 208043842, 49757387, 91047311, 8385885 ], [ 64545848, 73957937, 13184479, 15112477, 9926922, 753563, 29738778, 3064932, 11338106, 69172837, 43350785, 38819351, 38132679, 149503450, 26351274, 54961258, 76141940, 52001227, 44708668, 158844745, 17088587, 46042705, 51736667, 34088334, 4836413, 60410155, 66079309, 46274253, 16651970, 16212947, 15373349, 4276608, 10956107, 207839156, 9919743, 9281703, 4289144, 52797747, 37541887, 160973531, 35669487, 13424672, 98787651, 70581632, 86773108, 8738751, 27395305, 41043813, 286076370, 85786520, 67796606, 259754555, 47589363, 49755262, 19115096, 86751626, 109931926, 46430333, 219242513, 47555846, 94554136, 56380319, 115433043, 36769191, 30342613, 157820946, 23319756, 3934247, 136008579, 11128502, 119998252, 60760603, 10258276, 7309076, 27303075, 2188794, 91380705, 90102240, 169109617, 11375084, 90315579, 19618925, 36793278, 206293943, 58946077, 23136344, 47933954, 34969278, 52984891, 45315856, 25901517, 7492623, 23401976, 19222845, 20286424, 5229812, 47946239, 36397129, 8635504, 28179107, 18752151, 52802580, 22173503, 25339270, 85420794, 137482284, 46887196, 133712295, 9501087, 16430813, 31533926, 20229549, 42207456, 15844133, 43036461, 37966319, 55263645, 175114215, 18635067, 11442245, 7805551, 67476139, 6566276, 12121716, 190695833, 41027365, 30212268, 8385885 ], [ 42188445, 97085922, 41280975, 311917730, 69752624, 7829423, 93452384, 195720448, 46444853, 53273655, 151853792, 71469875, 65689087, 6210770, 49382248, 237321294, 140869665, 17226186, 51287163, 29461190, 48757041, 85901067, 54507159, 29135330, 48676937, 130524507, 632039, 2566108, 17413888, 21147669, 91018882, 197656724, 23937603, 84314686, 53016005, 110369073, 42541170, 91320534, 117761669, 189738150, 26625740, 4791324, 49905013, 124972417, 2218513, 14260842, 22831961, 74179043, 31732514, 27486981, 26014536, 17067399, 132272177, 109565665, 77475343, 17442140, 179471924, 8221730, 8909090, 123626732, 126533624, 17064128, 86195315, 22535116, 25718348, 13565880, 101765564, 10605066, 36603489, 11128502, 28302232, 76733195, 81767180, 32873840, 112527403, 224657, 60974175, 4232416, 40965025, 64641537, 45404420, 19377587, 49073427, 58854090, 15483739, 23974405, 134580896, 78551010, 7821011, 12571273, 139879205, 51874880, 26591430, 19222845, 103831661, 44916132, 33930366, 3374612, 103233262, 11531983, 60218234, 45959361, 64410245, 101606624, 30821369, 2904225, 160122026, 81899147, 35164341, 133644728, 59611914, 51741633, 110012260, 259420844, 24729259, 76708615, 14187457, 107331995, 58971482, 88867342, 113865562, 67476139, 35587235, 78707398, 62547840, 41288476, 11106062, 53692391 ], [ 61560207, 97085922, 74388759, 130307063, 57868309, 7829423, 81223123, 222123072, 47429823, 131149814, 18050273, 55136879, 84520594, 61206658, 57273016, 11438991, 998254, 17226186, 21654249, 106596926, 29984501, 119245953, 54171904, 79717784, 290407757, 47168326, 65650220, 46833787, 4139590, 21147669, 14630227, 1452202, 68382385, 528225, 61936390, 194540554, 84792618, 71650326, 23585945, 26723723, 36108440, 102503670, 6687197, 59359910, 23745469, 12349849, 8899107, 11190101, 7617318, 82772653, 26014536, 77166353, 154609310, 54969200, 74241463, 87103583, 36801704, 71019915, 32669054, 82513676, 22719135, 56202485, 33395442, 55558205, 216688394, 23458859, 131606927, 72471694, 184874688, 11128502, 9992669, 105937093, 104330210, 60270550, 42232842, 58430133, 121600529, 97048183, 19353368, 19249411, 127578190, 156045941, 24766906, 183263655, 63830488, 169104979, 143989921, 40006518, 9807810, 12571273, 13926909, 20359245, 139210732, 19222845, 24039112, 95982930, 37119810, 3374612, 90706319, 81208466, 75257918, 119765369, 42410573, 114835017, 29603894, 77268489, 141756373, 1634069, 35164341, 37116579, 31533926, 6833252, 38998626, 215984739, 303024978, 77874438, 14935790, 9219250, 114234826, 83135938, 32182005, 63339542, 2419498, 78707398, 70979084, 34901037, 54663602, 101417054 ], [ 35635944, 22529708, 91521943, 80487212, 136245013, 7829423, 93452384, 130453420, 11338106, 122202648, 42522121, 28560501, 31083144, 92144005, 31725910, 13561751, 22948360, 78537317, 5312691, 128972561, 274219147, 46042705, 54507159, 17589013, 21710163, 189027364, 16674892, 83551544, 4139590, 9811063, 32318278, 54229354, 66511667, 284387063, 9919743, 6019223, 141989089, 349740894, 128335998, 34409714, 29277148, 19494935, 72771364, 84396464, 2227747, 53744617, 340406315, 5528881, 158281515, 22151467, 154328894, 57822883, 164958005, 128500669, 39497892, 13802806, 179471924, 107876526, 152210620, 108112636, 180824597, 12079335, 13545691, 13595875, 9907123, 137077539, 57673774, 92680934, 158975681, 26569712, 198371072, 22207588, 26179740, 57164700, 226226363, 116247650, 234830334, 156856293, 169109617, 19249411, 36475248, 60770882, 36793278, 37025864, 12184028, 23136344, 82264396, 40006518, 48669013, 73828439, 192813138, 7492623, 71631268, 77843833, 79091183, 112838469, 113461032, 36397129, 71459737, 32328827, 132092768, 22447868, 202135450, 28666453, 77269628, 42055225, 30792931, 152970071, 35164341, 120624461, 54401950, 4675474, 16653925, 109067631, 153315196, 56154074, 19382170, 284980368, 12774916, 83135938, 51613150, 58107935, 35587235, 78707398, 119205910, 49757387, 54663602, 8385885 ], [ 82816544, 36539407, 509823, 19608897, 36482628, 88259316, 60053269, 107725003, 38287591, 16677736, 119367130, 74243328, 84520594, 15869554, 74447222, 76562579, 7913937, 136675505, 51287163, 42877873, 29984501, 46042705, 48133062, 5971639, 101437440, 95899742, 43683287, 26283533, 4139590, 11209743, 155666228, 16301216, 15376883, 103716003, 99781086, 106367351, 102069837, 170815518, 9985536, 28562941, 105184238, 39668587, 18433480, 114315668, 7150152, 64278868, 69383571, 43756947, 34153885, 85132438, 26014536, 58088469, 10909230, 20173049, 26675367, 34775875, 22877542, 70570811, 11163758, 25440426, 10098227, 9117163, 33395442, 63422891, 24189985, 4770883, 110304335, 3446680, 138529417, 11128502, 32984775, 96085112, 79314695, 60270550, 51282810, 45644449, 10170843, 26997845, 14083309, 7071017, 62448745, 99339, 2861994, 26791723, 162807453, 12526600, 5221410, 78878963, 30838529, 57857736, 27551277, 435639, 18546381, 19222845, 68650965, 112758787, 33887047, 14280183, 21718788, 32328827, 36846324, 48289747, 11743327, 144671002, 22397790, 66126466, 10328263, 73556654, 3352651, 48503409, 8198026, 76458359, 17980645, 34366841, 128234247, 17911957, 4285659, 108381644, 83706078, 11520981, 112898171, 58363570, 35587235, 29163531, 48604390, 903999, 54663602, 158189237 ], [ 64545848, 97085922, 29951830, 44525670, 5595091, 75752309, 108092179, 130453420, 11338106, 19084103, 119367130, 69354034, 34019496, 62435655, 57273016, 41794532, 18518610, 17226186, 104293349, 138673085, 17088587, 79223999, 52292132, 34088334, 4836413, 95899742, 16674892, 63690235, 11231027, 9811063, 14630227, 1452202, 111407, 19490018, 9919743, 6019223, 154444328, 65110534, 9985536, 36700884, 30038884, 88187737, 64448774, 67666308, 96056706, 24508669, 55492965, 31130051, 79187697, 8890763, 26014536, 29048725, 10909230, 21139736, 17213121, 13802806, 16952720, 27730950, 8909090, 44116981, 35055757, 110804642, 11447161, 135659761, 4131715, 4770883, 69025775, 9976968, 5332193, 11128502, 93913472, 28228757, 26179740, 12467909, 67794039, 235806088, 11894363, 9886437, 10973827, 26225179, 38633454, 46523739, 40305605, 58854090, 15483739, 12526600, 32312309, 40006518, 14048574, 12571273, 28854300, 7492623, 33739783, 19222845, 3668424, 5229812, 31812472, 3374612, 21718788, 48566027, 16393146, 22447868, 60899828, 252279, 10582988, 10148911, 52774061, 32340583, 60066507, 13444065, 31533926, 51741633, 1250663, 2507771, 22984477, 77874438, 3207842, 115339537, 24346444, 93138857, 40479672, 37227739, 6464083, 3201161, 3638755, 33248008, 6416480, 8385885 ], [ 73278332, 13262061, 21578119, 319224456, 136245013, 7829423, 79031615, 7847645, 47429823, 22783534, 33741451, 74243328, 22260408, 12265261, 57273016, 45231480, 206066800, 71970394, 23796338, 91072366, 69861726, 85901067, 45430849, 34088334, 31517016, 47168326, 75207696, 46833787, 4139590, 21147669, 92691441, 1452202, 33744510, 7359661, 9919743, 36940399, 21071992, 65110534, 23580742, 109689335, 2115251, 74514401, 2411081, 12419899, 1994469, 12349849, 46963576, 132879, 4656625, 52133795, 26014536, 29048725, 28434954, 67955405, 74241463, 16802174, 16952720, 134823790, 221008477, 13590015, 35055757, 142176969, 135725921, 12293544, 24189985, 67609819, 69275328, 3498867, 81301171, 11128502, 36890962, 85129903, 29398162, 6787830, 43012707, 116247650, 142157452, 25369199, 14083309, 19249411, 76332171, 19213264, 24766906, 38095561, 15483739, 181121, 5221410, 34969278, 14521459, 12571273, 28854300, 7492623, 33788022, 19222845, 3668424, 18326237, 1414108, 3374612, 10138958, 48566027, 16393146, 58864030, 31954897, 120276192, 10214850, 52147756, 26617981, 43313435, 26894823, 13444065, 19902972, 51741633, 1250663, 70427007, 22984477, 77874438, 56487388, 9219250, 6556908, 51455273, 14327451, 67476139, 6464083, 3201161, 27894228, 39202837, 32505446, 75920074 ], [ 31452670, 91433606, 59393500, 2520246, 25057706, 7829423, 109957267, 54847880, 11338106, 245761981, 22697464, 69354034, 71615469, 75666424, 57273016, 54961258, 124340353, 131756220, 21654249, 131129715, 40646927, 46042705, 54507159, 34088334, 21497284, 3571107, 19916619, 31043805, 4139590, 19426144, 15373349, 29057547, 36106080, 3345264, 9919743, 22598478, 47044212, 7916658, 9985536, 109689335, 85422202, 39668587, 98787651, 14172988, 26854428, 11684360, 11703131, 98960917, 27658597, 85786520, 101852877, 30257612, 81830907, 21139736, 17366602, 10654555, 54174139, 35165228, 207584640, 47555846, 35213388, 69994182, 80522060, 4081438, 109739542, 4770883, 58417550, 15472893, 115381195, 11128502, 61894725, 128499382, 104330210, 10208989, 211690891, 96170818, 92828348, 63193423, 91520361, 19249411, 213327578, 19618925, 7386870, 183263655, 5633180, 12526600, 47933954, 116548344, 9807810, 73828439, 8860189, 7492623, 2952376, 19222845, 20286424, 5229812, 63781119, 36397129, 193486645, 32328827, 70778469, 15181059, 60899828, 18143679, 41102446, 61523126, 1030147, 43313435, 122719650, 32374050, 31533926, 66045757, 1250663, 194919342, 43036461, 77874438, 14935790, 9219250, 39902837, 11442245, 108504473, 24088385, 8146053, 4241466, 23136354, 166270172, 54663602, 8385885 ], [ 42188445, 110676249, 91521943, 319224456, 25910147, 54446675, 93452384, 281574122, 21053885, 50417598, 151853792, 74243328, 8799657, 6210770, 49382248, 45231480, 49526713, 150590485, 319640524, 113435144, 48757041, 85901067, 54507159, 119925292, 41384463, 43176167, 632039, 63690235, 11231027, 21147669, 151768208, 23768020, 28190702, 108616651, 53016005, 134496411, 23295591, 25552190, 209717285, 189738150, 99846812, 77763628, 2411081, 124972417, 239972320, 14260842, 340406315, 11190101, 193732940, 134176985, 68694705, 35578335, 182862336, 236954800, 85321828, 207004542, 90633806, 7865970, 39065278, 142261518, 144405045, 173398000, 113187021, 23951579, 113507562, 139221672, 131606927, 92680934, 17798266, 11128502, 415249929, 345390576, 81767180, 214484483, 101876070, 562937625, 60974175, 83060934, 40965025, 49366835, 121871987, 60270032, 49073427, 58854090, 15483739, 302081871, 142524783, 143590005, 190100526, 32243917, 122277940, 316262090, 26591430, 19222845, 108706621, 44916132, 33930366, 36397129, 110766261, 72167454, 138193814, 76039865, 64410245, 101606624, 18629613, 2904225, 160122026, 173777411, 35164341, 246849170, 364340403, 201298714, 142415073, 90431034, 88138403, 9524705, 48719828, 107331995, 73324260, 182220662, 10094996, 24890681, 35587235, 48321428, 78854301, 86728952, 127151579, 99457491 ], [ 64545848, 428397162, 14916627, 150233246, 136245013, 7829423, 380822276, 83022494, 11338106, 100425273, 151853792, 74243328, 8799657, 130525353, 106825335, 54961258, 93405927, 131756220, 104293349, 138673085, 48757041, 88262117, 54507159, 34088334, 21497284, 46559750, 10138301, 252460297, 36979083, 9811063, 15373349, 94444477, 23937603, 484628671, 9919743, 67286669, 71870895, 52916695, 143721966, 109689335, 188043164, 92862550, 98787651, 124972417, 251836186, 3379781, 368590618, 145062040, 27658597, 412914782, 26014536, 77222403, 48107050, 160133482, 98129014, 13802806, 103045746, 7865970, 8909090, 218819939, 231539970, 376282413, 155672826, 4081438, 37868488, 137077539, 37979439, 101428295, 158975681, 11128502, 29854813, 141955436, 26179740, 272079305, 343415143, 116247650, 20739326, 71505447, 95255415, 82848830, 38633454, 76039403, 146665974, 28636856, 44399837, 23136344, 378784014, 45723755, 74453127, 399278224, 125160073, 7492623, 445591757, 108569573, 105264521, 522747325, 180196922, 36397129, 272014843, 67048535, 207472463, 22447868, 64410245, 132992065, 97877492, 36643396, 160122026, 43313435, 20431545, 232350834, 131121480, 83635721, 81480935, 319606316, 115069051, 77874438, 14187457, 9219250, 24346444, 65604558, 271186117, 31582620, 35587235, 78707398, 234437050, 74719192, 183648095, 8385885 ], [ 204843313, 79843101, 91521943, 71795229, 136245013, 7829423, 163186445, 117287956, 351808042, 65059950, 38036421, 6951828, 71615469, 340075444, 44416749, 142533901, 182989577, 1320109, 51287163, 29461190, 29356258, 193898925, 54507159, 41490404, 76722563, 12171736, 16674892, 8874972, 134215729, 21147669, 32318278, 804298, 39949637, 19490018, 9919743, 280266306, 255310504, 121543539, 240537181, 109689335, 37345157, 545596600, 49905013, 52687771, 251836186, 181581527, 135602929, 36292908, 102949115, 349101521, 174069229, 36602426, 221122474, 30779471, 47110452, 221675253, 3836817, 71019915, 160671520, 9172688, 313498671, 42231660, 166247101, 317560233, 133278352, 16362042, 117692617, 116873020, 94420609, 11128502, 58691418, 15961795, 111291102, 12467909, 146429509, 79043867, 31656095, 105395441, 52221027, 34722403, 197780416, 19377587, 4921097, 67433929, 158241180, 169104979, 143989921, 143590005, 252921579, 73828439, 15945830, 7492623, 112610509, 239851689, 26139271, 19352424, 67645718, 43573138, 272014843, 8258553, 6496455, 45959361, 64410245, 116675681, 49697026, 211884925, 30097089, 43313435, 35164341, 49044164, 342052023, 152283894, 108892514, 58672491, 146918572, 12788432, 252371094, 9219250, 59299374, 76839358, 65847265, 26662231, 6464083, 42732139, 208043842, 1832243, 239925161, 158189237 ], [ 297616339, 97085922, 57332646, 117514230, 136245013, 7829423, 81223123, 133553736, 168055595, 69172837, 111594686, 59526644, 71615469, 172514935, 36634874, 17779986, 44076939, 78097557, 108875799, 138673085, 17088587, 15266729, 15024271, 9683852, 4836413, 117016792, 9823384, 140491324, 85855441, 21147669, 50069238, 94730687, 130629805, 279889018, 9919743, 15893949, 277657016, 34814590, 52425827, 123486654, 112270271, 7658704, 98787651, 119808542, 183679866, 5564078, 172487214, 114037009, 106295078, 85786520, 26014536, 35578335, 51243350, 21139736, 82643493, 57277048, 69078572, 27624956, 11163758, 21313036, 108540355, 134747219, 33395442, 15008321, 51274772, 23458859, 101831917, 34996568, 150232817, 11128502, 54067405, 93778652, 22920930, 132703814, 325349837, 69681164, 48982349, 77603299, 24397799, 10251915, 148485771, 35924575, 199173350, 94155543, 8841244, 23136344, 222762329, 143590005, 149092780, 179455, 13438897, 7492623, 109334489, 186654683, 52690810, 141875621, 29218734, 32888558, 37039339, 7670452, 35660264, 147417308, 64410245, 2842731, 39990073, 150049881, 52774061, 63785001, 12821873, 133629150, 20887501, 152283894, 108892514, 65007603, 114183964, 9524705, 4285659, 107331995, 162226585, 27407903, 16836987, 54314133, 41545619, 42732139, 7940278, 50756285, 183648095, 81159617 ], [ 14107149, 97085922, 23163493, 70707779, 136245013, 7829423, 7641526, 130453420, 15490937, 60470620, 14892926, 74243328, 8799657, 49559896, 57273016, 13796159, 40855158, 148363555, 51287163, 26677930, 29984501, 17955149, 15024271, 34088334, 69549366, 46559750, 8025753, 46274253, 22297431, 9196601, 24016066, 72608530, 130629805, 85189789, 9919743, 22598478, 110448611, 4175259, 944440, 37153598, 64857378, 30692901, 88209543, 7675153, 82830196, 42761236, 93413578, 145062040, 46726173, 34963765, 26014536, 72386568, 71557563, 24471481, 54048224, 10654555, 69399563, 7865970, 14648640, 186875839, 43117440, 42231660, 33395442, 48164330, 146000010, 137077539, 110304335, 2533107, 61481723, 11128502, 17203508, 47914482, 17402252, 70945727, 7495322, 61850316, 54589538, 128790432, 81552884, 138332286, 85742346, 35924575, 114050014, 17616069, 4293020, 23136344, 262235436, 122578221, 16187715, 73828439, 13438897, 7492623, 29804875, 19222845, 130859177, 5229812, 5674697, 16829863, 41988195, 40448676, 126783323, 4092571, 20159442, 128234374, 39990073, 47788533, 160122026, 33191997, 9576787, 13954865, 26874402, 55852104, 72748385, 146147838, 264603239, 77874438, 14187457, 134744943, 24346444, 51565532, 10589068, 56615786, 47315207, 42732139, 113887119, 50756285, 40871251, 158189237 ], [ 163360718, 97085922, 42205187, 367284122, 136245013, 7829423, 108092179, 103764968, 92583342, 199290890, 111594686, 58141178, 71615469, 153471467, 79906656, 188247409, 206066800, 155732393, 82549228, 88379036, 69861726, 15266729, 33784157, 34088334, 12130458, 43176167, 105412996, 140491324, 11384301, 9811063, 182484876, 37980700, 130629805, 65309490, 9919743, 30951845, 85660278, 330652159, 147831668, 37153598, 2383079, 124550739, 98787651, 83719085, 7150152, 83161244, 460681095, 145062040, 217071849, 37415099, 9640565, 87331021, 114005251, 28863318, 57797426, 13802806, 151746381, 175638808, 83837901, 201953496, 47446923, 34422962, 56385605, 29971251, 51274772, 137077539, 3148072, 116873020, 142922705, 11128502, 98980905, 198917859, 26179740, 85602452, 20588532, 57102867, 126417712, 160120530, 24397799, 114719423, 44726984, 176068714, 64309380, 152145799, 99864472, 23136344, 187340404, 143590005, 47087107, 10678242, 117188876, 7492623, 112610509, 19222845, 103215880, 5229812, 47340093, 32888558, 16826811, 49412346, 35660264, 6227883, 48659214, 19316330, 164816530, 28337482, 125604964, 43313435, 90797553, 94194490, 31533926, 88438720, 108892514, 75181303, 69246407, 77874438, 20749786, 9219250, 24346444, 94962878, 193466779, 65467769, 26522987, 49524043, 7940278, 895863, 155388816, 65732532 ], [ 109617484, 73957937, 91521943, 453750, 136245013, 7829423, 93458815, 41655514, 212813808, 207219734, 41035890, 59526644, 8799657, 75666424, 42957587, 17779986, 68076701, 14487160, 63583651, 25846433, 6446714, 163633801, 16621108, 111767887, 84389921, 11909148, 137355885, 82291641, 3248230, 21147669, 5934420, 89726916, 68623986, 1422517, 9919743, 22598478, 89979232, 253350800, 944440, 28384536, 64857378, 9182292, 57568269, 744442, 39853586, 168780200, 4497565, 79083165, 108910475, 169784130, 26014536, 49537009, 7060369, 14816764, 98129014, 52315371, 126718362, 7865970, 36413728, 13931660, 315269703, 826623, 82559288, 16204944, 89211766, 39888655, 79011613, 285546780, 52611117, 11128502, 115676548, 30585461, 2585693, 791891, 135666314, 77369946, 39107390, 163430418, 44841138, 10251915, 229818237, 51068483, 205135835, 17277866, 5633180, 83242970, 187340404, 34969278, 37520657, 73828439, 143253717, 7492623, 133237192, 19222845, 217951238, 141875621, 63781119, 43573138, 37039339, 83566405, 34194856, 75417389, 64410245, 87508382, 165357810, 37407485, 125604964, 43092582, 136656416, 244538929, 48883153, 18245555, 34900327, 42779730, 167147270, 77874438, 126104434, 9219250, 18798168, 27407903, 65847265, 87844595, 59598589, 42732139, 37146098, 166270172, 303285632, 7942710 ], [ 290326531, 16654011, 23163493, 28210785, 50774667, 7829423, 33554971, 63368337, 7248611, 365738425, 119367130, 29950049, 71615469, 135660189, 85720630, 45231480, 60919896, 118754552, 33323390, 31425336, 6446714, 46042705, 52292132, 34088334, 31594113, 117016792, 17558543, 12446119, 60254139, 21147669, 182484876, 23768020, 107422894, 64816625, 9919743, 100200947, 66556052, 57957112, 68460131, 36700884, 15302358, 10244971, 2411081, 124972417, 39853586, 44870843, 8899107, 127497359, 79187697, 4004793, 174069229, 10824101, 28551907, 165173119, 85321828, 86751626, 90633806, 6044690, 14648640, 85220097, 22719135, 42231660, 43978709, 48164330, 28367226, 39888655, 110304335, 20876282, 52611117, 11128502, 81323474, 153228347, 2585693, 2990526, 8301896, 116247650, 210188509, 9226336, 95255415, 49366835, 58664366, 65197814, 129487313, 152145799, 128009434, 22740229, 130464636, 33362926, 10640570, 82618993, 67421101, 7492623, 82896254, 19222845, 40922718, 95982930, 79419371, 20939168, 43335639, 32328827, 34714416, 79870237, 48659214, 259475925, 96201088, 246766272, 30097089, 43092582, 11261624, 68911876, 60361613, 18245555, 108328295, 75222315, 126226810, 12788432, 14187457, 9219250, 59702127, 94962878, 47528981, 42352069, 41230505, 42732139, 10678718, 1832243, 51170976, 144171067 ], [ 7735612, 97085922, 20551867, 80487212, 136245013, 7829423, 7641526, 109776646, 307779171, 14650532, 173440525, 74243328, 71615469, 97736868, 49382248, 69799841, 44076939, 14404967, 36161704, 150235202, 17088587, 46042705, 54507159, 27454299, 4836413, 155603453, 189503581, 46274253, 57302135, 21147669, 50069238, 94146601, 43988206, 33356123, 9919743, 138129584, 142485520, 62004425, 240537181, 101321538, 169669699, 39668587, 98787651, 124972417, 57221722, 72681927, 84608978, 145062040, 158281515, 85786520, 226152406, 21249274, 125804179, 325040323, 98129014, 28456575, 179471924, 64185138, 14648640, 90923096, 382602891, 48287149, 38504136, 29971251, 382037870, 81564991, 88046611, 20876282, 92227861, 11128502, 98980905, 154347737, 83717039, 17593518, 92993124, 116247650, 146494610, 83060934, 95255415, 61984204, 65226012, 35924575, 30522259, 131598524, 27658652, 23136344, 16946795, 143590005, 27550543, 73828439, 49765849, 7492623, 91437052, 463259793, 85472646, 65146730, 67706453, 43184542, 230720224, 32328827, 437441872, 180671687, 46753859, 20191148, 39990073, 85782824, 52774061, 8280842, 242535064, 58681792, 882919, 152283894, 108892514, 216383108, 113958301, 77874438, 14187457, 107331995, 162226585, 72258629, 64591988, 65330890, 80734364, 4241466, 22161406, 235151078, 100579691, 141194163 ], [ 122764753, 13262061, 40672129, 157120283, 33277103, 6812181, 7641526, 10728620, 3450253, 4547351, 46130884, 29005000, 8799657, 75666424, 7507939, 17779986, 10545885, 148363555, 51287163, 91072366, 100371014, 163633801, 16621108, 30265834, 15072477, 46559750, 25798429, 46274253, 51608348, 21147669, 92992214, 25499364, 66190407, 1422517, 9782439, 22598478, 85660278, 268940992, 23580742, 64448995, 34674284, 9182292, 114412716, 124972417, 7150152, 2412457, 46963576, 33027000, 12272967, 52133795, 26014536, 10030682, 7510828, 22489912, 20391099, 23871470, 42397331, 7865970, 100617537, 19246673, 42308253, 14954491, 80522060, 16280603, 161047259, 70278177, 110304335, 20876282, 121184613, 11128502, 24161176, 47132051, 129111987, 9687007, 20588532, 12387663, 111702866, 62078491, 100731193, 26225179, 131149301, 101281994, 24766906, 20408471, 22590622, 55070888, 117680567, 17643822, 9807810, 20790004, 41389283, 43244336, 2952376, 81312264, 8434708, 62454713, 46204093, 15323433, 37039339, 165188381, 34039772, 52802580, 13704708, 4209507, 96519029, 129987268, 6372954, 65060484, 35164341, 20602581, 106883164, 90874620, 34900327, 92440764, 30401519, 71561743, 44677346, 135279616, 60533604, 27407903, 21176941, 26507316, 85358323, 39724630, 67630645, 122851400, 32965490, 158189237 ], [ 77218782, 97085922, 91521943, 115135124, 136245013, 260380, 237363808, 69736542, 217297813, 113450913, 119367130, 39101763, 71615469, 113308800, 82491242, 188247409, 166481215, 229321359, 37552640, 98680783, 274219147, 6634861, 16621108, 222708707, 142941790, 106139701, 210788437, 181026955, 4139590, 21147669, 216228118, 25499364, 68623986, 1422517, 9919743, 77558671, 85660278, 10762380, 90547987, 48807174, 77659118, 78624991, 88209543, 744442, 88335581, 8492720, 181526769, 183872402, 230422391, 92210731, 18955598, 55422644, 90500402, 109565665, 98129014, 37183143, 179471924, 8221730, 13707757, 153804435, 64474081, 151819767, 82559288, 16204944, 72622372, 8767110, 131606927, 284943152, 61481723, 11128502, 54067405, 57092899, 162694673, 60270550, 20588532, 98269408, 30697645, 52072429, 42791857, 19249411, 1842598, 629887, 54757914, 141928391, 89264281, 182639539, 226502110, 37419118, 74453127, 21629798, 407536584, 5813606, 20417441, 19222845, 133625491, 91311068, 113461032, 16829863, 319173750, 67418016, 369105726, 75417389, 48659214, 174160354, 23272590, 58271000, 17306997, 84200787, 58176590, 29706921, 119648467, 152283894, 108892514, 42779730, 166584640, 77874438, 7031660, 29735987, 124434924, 82736259, 21176941, 33987913, 398635834, 39724630, 133945209, 166270172, 54663602, 116630615 ], [ 77218782, 250446478, 9024081, 311917730, 136245013, 143782622, 138848739, 130453420, 326052414, 131074267, 151853792, 74243328, 71615469, 177384777, 75722627, 477406369, 20713340, 44778422, 380270940, 16122901, 140867807, 98765786, 54507159, 34088334, 38933931, 43176167, 242853543, 234289770, 21440549, 9811063, 182484876, 261014842, 125256405, 14825437, 9919743, 115881281, 85660278, 38424988, 217041723, 194479144, 188043164, 80064218, 98787651, 93323456, 239972320, 158825831, 90365535, 14156480, 552283464, 361044753, 27794976, 87331021, 125804179, 312579249, 98129014, 13802806, 179471924, 18313599, 14648640, 153804435, 43351353, 605141467, 156227995, 40818672, 83584128, 20615843, 131606927, 121142618, 58456141, 11128502, 9349723, 220884734, 26179740, 118429636, 20588532, 412636266, 86149745, 71500726, 73466221, 25407974, 349344536, 176068714, 30522259, 204831672, 139932503, 23136344, 727725508, 37419118, 207154296, 73828439, 446275943, 7492623, 428315471, 19222845, 93777359, 317478236, 9904138, 43573138, 411816922, 9350717, 492453226, 22447868, 48659214, 56337815, 124645201, 130433213, 151335065, 291330493, 35164341, 328108183, 170077160, 152283894, 108892514, 146385614, 166584640, 77874438, 7031660, 251026304, 23256732, 94962878, 271186117, 76350134, 496410535, 78707398, 38844383, 224365826, 112634800, 59881781 ], [ 290326531, 2882503, 31489282, 80487212, 136245013, 121130017, 38895275, 935996, 47429823, 280269153, 150685462, 74243328, 71615469, 75666424, 262963689, 235661917, 105084046, 134271727, 5524917, 56392526, 100371014, 46042705, 1175127, 34088334, 15072477, 47168326, 230950448, 46274253, 36979083, 9811063, 58049140, 89726916, 14729723, 187451739, 9919743, 22598478, 122829624, 397428345, 240537181, 7122117, 64857378, 39668587, 98787651, 124972417, 7900479, 72681927, 46963576, 5528881, 158281515, 175108500, 68774826, 10030682, 161036725, 211551143, 74241463, 13802806, 179471924, 251904208, 198937310, 136370792, 416883383, 14572170, 66109536, 159704343, 137918620, 23458859, 2235822, 20876282, 440032672, 11128502, 22704879, 154347737, 26179740, 1735546, 137897006, 57102867, 30466717, 153382927, 125829213, 10251915, 10923682, 285685404, 24766906, 45077948, 342992088, 23136344, 105651988, 143590005, 48669013, 73828439, 446275943, 7492623, 13676829, 19222845, 264493512, 129491509, 311240608, 43573138, 772403883, 32328827, 38867257, 22447868, 64410245, 33373381, 90396422, 130433213, 160122026, 108813166, 35164341, 328108183, 106883164, 43074643, 34900327, 112178933, 93419607, 77874438, 82300461, 80336351, 24346444, 51565532, 65847265, 251830129, 10052253, 42732139, 349853773, 122851400, 17781073, 82023210 ], [ 110637352, 2882503, 31489282, 51594079, 33277103, 42561139, 12296887, 2945295, 7248611, 74157436, 119367130, 29005000, 84520594, 353774711, 91324944, 63008251, 138383869, 155732393, 5524917, 135201471, 34869183, 54520198, 54507159, 4581924, 9341393, 8058707, 70770936, 140491324, 4139590, 20157290, 21404392, 2084223, 130629805, 134182333, 130064242, 51382419, 21071992, 228762711, 120691374, 7122117, 108687630, 9182292, 89956363, 41882169, 7900479, 83161244, 3890878, 145062040, 28375916, 37415099, 37432689, 10030682, 246096465, 117349115, 74241463, 86751626, 179471924, 62685402, 208992957, 77008706, 20239204, 3311733, 67539874, 12293544, 35286264, 158669185, 131606927, 109722322, 61481723, 11128502, 67709493, 104282797, 104330210, 8095366, 20588532, 185657369, 142157452, 522343510, 96737157, 19249411, 117505372, 10158467, 24766906, 140116245, 5633180, 23136344, 26321502, 1857825, 70797032, 10678242, 13438897, 43244336, 8702321, 19222845, 167235940, 122687111, 63781119, 15323433, 86805432, 29899307, 38867257, 79870237, 56306782, 20191148, 96519029, 108409328, 116792331, 56759152, 45380486, 138806600, 31533926, 23986207, 8225760, 5770329, 30401519, 71561743, 37472910, 135279616, 107059048, 83135938, 47528981, 67476139, 81708627, 42732139, 22161406, 74318877, 33579362, 148827938 ], [ 297616339, 433621957, 20551867, 41423579, 136245013, 7829423, 7641526, 49856828, 153079691, 69172837, 55387416, 59526644, 71615469, 97736868, 164715440, 69799841, 105084046, 148363555, 36025414, 7746017, 17088587, 144833982, 51563977, 34088334, 4836413, 117016792, 224545812, 46274253, 34558980, 9811063, 5934420, 30479417, 51713252, 12043441, 9919743, 100200947, 75484273, 34814590, 60575621, 194479144, 83156043, 36076923, 62593721, 124972417, 251836186, 29068279, 96064311, 145062040, 113962533, 85786520, 12791282, 87331021, 30211066, 14816764, 98129014, 13802806, 71835807, 6088663, 14648640, 90923096, 50982258, 145010955, 33395442, 29971251, 35286264, 23458859, 110304335, 11729070, 58204100, 8937545, 81048222, 57092899, 26179740, 7409211, 20588532, 76258876, 90312412, 31532024, 69629332, 67138780, 30374571, 33612121, 30522259, 331726517, 36085021, 8072599, 71541590, 143590005, 3660989, 55513661, 191962791, 7492623, 85635276, 108569573, 236170463, 927937, 29218734, 43573138, 147333563, 81208466, 34039772, 22447868, 3866544, 69717660, 119293810, 130433213, 52774061, 238510339, 118933817, 48503409, 8198026, 25886766, 1250663, 183972630, 93419607, 77874438, 14187457, 26626145, 18798168, 94962878, 22936501, 54314133, 17832662, 42732139, 79514584, 166270172, 59490577, 141194163 ], [ 254535102, 75324996, 40672129, 68786783, 136245013, 270127773, 138825044, 169087628, 2817405, 176593558, 42522121, 74243328, 71615469, 115094987, 57273016, 58384851, 105084046, 65099011, 5312691, 138673085, 146861907, 15266729, 52292132, 34088334, 172032254, 16071831, 8025753, 168103131, 4139590, 12500584, 5934420, 89726916, 130629805, 79774038, 9919743, 67866536, 85660278, 3966872, 163467739, 36700884, 42147465, 72822749, 62593721, 119808542, 33962363, 181581527, 271065143, 33815327, 79187697, 86007802, 26014536, 10030682, 114005251, 67955405, 98129014, 86751626, 151746381, 195371164, 14648640, 98276767, 414885259, 42231660, 166247101, 48164330, 51274772, 23458859, 21735120, 262499942, 81933353, 11128502, 40120666, 104722467, 68954959, 7206063, 20588532, 16136378, 113865484, 8338280, 95255415, 19249411, 160852422, 30477930, 205135835, 54954073, 12184028, 23136344, 6116429, 143590005, 81031328, 73828439, 209686677, 7492623, 91437052, 19222845, 79091183, 129491509, 26290681, 43573138, 8006431, 81208466, 77385204, 16886895, 64410245, 130723232, 51010448, 42055225, 91224577, 43313435, 29907715, 48503409, 8198026, 127207754, 108328295, 216383108, 2905538, 77874438, 14187457, 9219250, 16261250, 22317284, 65847265, 76350134, 114474204, 2459402, 7940278, 114723676, 33579362, 57829047 ], [ 63455775, 73957937, 91521943, 80487212, 10569818, 143782622, 28973635, 24077093, 60395758, 71013518, 56884539, 69354034, 187731381, 15869554, 97291842, 188247409, 44076939, 44778422, 67636306, 63039348, 52805897, 98765786, 48133062, 16133909, 79409986, 106139701, 43683287, 46274253, 36979083, 9811063, 155666228, 4817654, 15376883, 154932901, 87667685, 7818769, 24560178, 68408817, 209717285, 101321538, 64857378, 49360361, 88209543, 10421108, 239972320, 2412457, 69383571, 5528881, 158281515, 71362874, 26014536, 87331021, 78451727, 21139736, 98129014, 13802806, 179471924, 62685402, 14648640, 136370792, 64474081, 42231660, 44960964, 48164330, 18108713, 20615843, 110304335, 20876282, 37123226, 11128502, 110534968, 105937093, 26179740, 118429636, 20588532, 57102867, 197469105, 71500726, 44074210, 10251915, 10923682, 35924575, 80833819, 22416555, 89264281, 23136344, 179253395, 34969278, 48669013, 57857736, 13438897, 435639, 29804875, 19222845, 64264847, 91311068, 9904138, 2916419, 142714957, 3962925, 97311060, 3648193, 48659214, 33373381, 39990073, 61479858, 52719948, 3102373, 7416657, 100512521, 160065335, 273350933, 272264417, 6531870, 15882741, 4264501, 7031660, 532189473, 24346444, 39480547, 10094996, 26507316, 25147381, 42732139, 140132668, 105390174, 17781073, 4334444 ], [ 115315364, 40757083, 761466, 3437469, 70390093, 88259316, 40798206, 92093921, 113653614, 23700604, 114984780, 17470031, 45371434, 30647337, 90896574, 188247409, 105084046, 148363555, 5524917, 91072366, 64279742, 40021358, 48133062, 9683852, 68449670, 29780152, 36571946, 83491672, 4139590, 7603385, 5934420, 30479417, 10864353, 6952233, 24023685, 41163899, 70622171, 68408817, 86884185, 7122117, 64857378, 80904558, 62593721, 744442, 39598691, 90281729, 46237443, 33027000, 89884153, 52133795, 26014536, 10030682, 26469220, 146780180, 2150421, 10654555, 42397331, 195371164, 19529436, 77820875, 3270922, 42231660, 2648083, 29645828, 25872681, 8767110, 18641816, 116873020, 36603489, 11128502, 24161176, 195555894, 1971872, 12988911, 20588532, 51451846, 39107390, 4232416, 48498345, 19249411, 44726984, 48002831, 96843841, 26791723, 42160984, 23136344, 9097929, 143590005, 12141784, 60835852, 13495800, 613509, 29804875, 19222845, 97838497, 75897377, 7175208, 16829863, 34446864, 48139628, 38867257, 22447868, 48659214, 88710090, 165357810, 11168929, 144230593, 23905441, 90246185, 41769713, 31533926, 229868627, 49504998, 70427007, 22365487, 77874438, 4285659, 31934816, 17530839, 11520981, 65847265, 23369490, 61771202, 84185796, 2744009, 19493482, 54663602, 120635486 ], [ 73278332, 8225237, 44306063, 64908993, 136245013, 72291808, 45746934, 2945295, 47429823, 70351156, 78982599, 74243328, 71615469, 53698187, 460280185, 382595471, 63431223, 114984110, 73669915, 104860137, 69861726, 104834447, 1175127, 104388122, 305367599, 43176167, 134632391, 178180168, 4139590, 282636803, 21404392, 1452202, 37924836, 19490018, 9919743, 53328888, 122829624, 68408817, 170600139, 37153598, 5963781, 9182292, 69608842, 124972417, 101488441, 10151165, 46963576, 207491829, 139529969, 84105375, 26014536, 87331021, 43726618, 49755262, 952892, 86751626, 16952720, 84472985, 14648640, 221127417, 20239204, 14572170, 37195482, 12293544, 137918620, 21279826, 2235822, 2533107, 94420609, 11128502, 94932526, 43090204, 104330210, 12467909, 93962733, 83363476, 142157452, 264599263, 34786737, 15508463, 169553754, 10158467, 24766906, 77888265, 77871774, 23974405, 11774, 42585369, 32526086, 73828439, 28854300, 5813606, 13676829, 19222845, 21563954, 122687111, 61508357, 21780485, 38660653, 99883871, 16393146, 59895376, 22173503, 120276192, 159688850, 144453094, 364391, 43313435, 60066507, 121419708, 15914996, 65918568, 34900327, 163231397, 93419607, 77874438, 14187457, 9219250, 114234826, 72258629, 7805551, 24337057, 6464083, 210475556, 70979084, 32676586, 54663602, 148827938 ], [ 73278332, 22529708, 16758616, 3888046, 23060975, 7829423, 81223123, 156186041, 107991707, 69172837, 60097783, 74243328, 52601560, 61896739, 57273016, 110662921, 124340353, 44778422, 36025414, 128972561, 17088587, 46042705, 51563977, 34088334, 4836413, 15336886, 39943764, 46274253, 34558980, 21147669, 50069238, 30479417, 51713252, 83088573, 9919743, 22598478, 78265624, 97749839, 120691374, 18721794, 83156043, 30833161, 98787651, 101918555, 7150152, 96568712, 96064311, 5528881, 28791263, 85786520, 12791282, 10030682, 161036725, 67955405, 5206059, 10654555, 163470666, 183095387, 14648640, 6701492, 57666185, 151819767, 33395442, 6921616, 146000010, 51124789, 101831917, 15472893, 61363942, 11128502, 38180397, 64322539, 104330210, 109482417, 20588532, 57102867, 118074460, 10574149, 17731912, 26225179, 44726984, 39596907, 56348303, 353621, 32908317, 23136344, 26958826, 82443522, 47087107, 59176401, 40431396, 7492623, 112610509, 6494163, 102173972, 68708406, 9904138, 979604, 18524312, 30702354, 94151193, 79870237, 64410245, 33373381, 147264836, 65779695, 15897088, 28712800, 12821873, 42795115, 31533926, 57446796, 93898343, 38699493, 52211992, 162911, 14187457, 135279616, 65373577, 51565532, 51613150, 65467769, 67497535, 4241466, 79514584, 45892593, 106515484, 10087556 ], [ 55281489, 60818112, 23163493, 3988352, 136245013, 7814850, 19233415, 130453420, 194265629, 280269153, 96559793, 17470031, 84520594, 3079227, 132231225, 97040366, 8477871, 10250157, 407967492, 135330849, 47659772, 46042705, 54507159, 34088334, 101437440, 3834772, 26977168, 46274253, 4139590, 9811063, 18838892, 70712698, 88138172, 19490018, 102780820, 42726084, 17390419, 291124910, 240537181, 125118657, 42147465, 39668587, 148247320, 119808542, 91602753, 19310705, 22487531, 33815327, 18694487, 37933830, 669973, 20661820, 161036725, 91590205, 17366602, 13802806, 125369929, 62685402, 14648640, 99788052, 57666185, 42231660, 166247101, 33334190, 45454837, 23458859, 27290170, 20876282, 58456141, 11128502, 40120666, 43090204, 26179740, 12467909, 24933260, 83363476, 94950076, 357665062, 95255415, 19249411, 35219218, 30477930, 45989419, 152145799, 48897944, 23136344, 192082432, 82443522, 37520657, 73828439, 13438897, 7458528, 82716240, 19222845, 97838497, 29993867, 12258690, 43573138, 15610768, 32328827, 24868546, 22447868, 64410245, 20191148, 33790723, 58552317, 142106662, 28712800, 11261624, 32606212, 19902972, 95470352, 95957216, 99471915, 52127809, 77874438, 14187457, 15188881, 24346444, 72258629, 3506012, 31684122, 6464083, 226294482, 22161406, 40914239, 15170477, 4643354 ], [ 214576522, 97085922, 91521943, 22543064, 40552078, 38081745, 5481880, 118341417, 30982979, 130105926, 111594686, 28429720, 3167591, 139188545, 125287739, 59109375, 10545885, 125722950, 16111413, 50333601, 69861726, 41601143, 54507159, 40314325, 71670348, 47168326, 9428168, 164910363, 11384301, 21147669, 121337832, 47349397, 130629805, 121975279, 9919743, 21017453, 140274632, 123969568, 80845195, 49588790, 103109151, 13424672, 98787651, 18235135, 7194092, 181581527, 16984205, 13211734, 141869961, 251713493, 26014536, 87331021, 31024540, 28863318, 74241463, 23871470, 179471924, 153839312, 65289500, 221127417, 344298984, 96510512, 166247101, 96213724, 180005608, 167123586, 131606927, 86326285, 213921576, 11128502, 78451710, 7774253, 20920006, 127415400, 155837740, 63195208, 61482655, 250717804, 19353368, 108979105, 129403970, 294451314, 24766906, 22349528, 64355996, 31429016, 192082432, 143590005, 266205993, 45315856, 1357031, 7492623, 2224546, 29869705, 85318267, 549015428, 5674697, 9948766, 99807934, 154455089, 55886912, 79870237, 64410245, 333403797, 25312807, 69516744, 46887196, 43313435, 35164341, 63829230, 26595740, 28372938, 108892514, 34117260, 226855981, 22727121, 11005039, 9219250, 15149708, 31463377, 32182005, 67476139, 211105208, 78707398, 306721294, 144915952, 57156642, 141524597 ], [ 36165227, 90161977, 91521943, 65044711, 136245013, 7829423, 20657424, 5989259, 47429823, 85655049, 119367130, 74243328, 65459510, 11269213, 13372831, 59109375, 25137010, 358417988, 7011872, 94898154, 52559681, 4874411, 35776191, 34088334, 116257715, 47168326, 6583782, 76875418, 4139590, 9811063, 24016066, 47349397, 38028065, 198581054, 9919743, 113165487, 140274632, 331627836, 551903, 41291095, 58475299, 30692901, 63886716, 18235135, 2227747, 47068684, 13451784, 5528881, 150481908, 67946697, 23014269, 18127204, 217398053, 24471481, 2219404, 13802806, 28570430, 57383116, 14648640, 30345032, 104288282, 97305873, 114227139, 48164330, 51434916, 38628740, 26348826, 108783800, 89641336, 4653545, 25442582, 104722467, 26179740, 28358421, 83590880, 37844008, 15992352, 93790243, 95255415, 19249411, 283824684, 26621193, 11914058, 22349528, 113366679, 23136344, 48895540, 143590005, 48669013, 27251218, 216725225, 7492623, 32774861, 19222845, 227162778, 55012698, 30098435, 43573138, 108344411, 52107103, 207472463, 22447868, 64410245, 28666453, 81417567, 134518649, 12306961, 43313435, 35164341, 63548360, 808038, 24455286, 108892514, 14104348, 124212109, 77874438, 14187457, 9219250, 24346444, 10524672, 46845085, 67476139, 142662399, 3030832, 208043842, 4957152, 11243726, 76034563 ], [ 14107149, 97085922, 91521943, 51594079, 125013236, 24253725, 81223123, 73257812, 47429823, 16677736, 97427136, 55136879, 162302188, 66481109, 22935942, 31492154, 35635354, 126461047, 21654249, 257544775, 29984501, 15010853, 44698635, 34088334, 15072477, 43176167, 70439458, 71426055, 15008200, 9811063, 19517507, 19256234, 30480996, 86439671, 57270658, 52372869, 110448611, 22930523, 42945998, 64448995, 102072905, 64691943, 271458949, 10421108, 39853586, 124693170, 3890878, 37916518, 9882500, 33952486, 68774826, 86665551, 45328380, 17594091, 54048224, 10654555, 75770217, 120102322, 175348097, 6610976, 90893958, 49707186, 10055390, 74046888, 18108713, 88457475, 80665036, 12512447, 121534562, 11128502, 206401719, 145048404, 2585693, 82045458, 33384915, 157861051, 26633138, 52054113, 75637108, 26225179, 12316223, 27184679, 24766906, 45077948, 26850711, 23136344, 34081857, 143590005, 75629363, 1586059, 103900077, 43474140, 64105129, 19222845, 15727200, 5229812, 87409555, 32790822, 24794713, 41143850, 77286481, 22447868, 20159442, 114835017, 23382202, 10148911, 62367257, 21571738, 106621987, 81377413, 26874402, 18245555, 93898343, 23701070, 126226810, 77874438, 14935790, 67657025, 24346444, 122982059, 48022509, 67476139, 25147381, 35781802, 26256355, 12323881, 39011870, 6316919 ], [ 31298998, 25627318, 69934916, 51594079, 136245013, 7829423, 81223123, 281574122, 11338106, 130105926, 119367130, 34518685, 71615469, 174118816, 82691050, 176356459, 35635354, 148363555, 120764012, 138673085, 29984501, 15010853, 54507159, 34088334, 182244188, 82412900, 16674892, 259250664, 39718218, 21147669, 32318278, 19256234, 85182845, 19490018, 9919743, 107135997, 19940699, 88427717, 240537181, 109689335, 122640998, 17316984, 11947319, 18235135, 239972320, 181581527, 3890878, 47714297, 61817708, 85786520, 23014269, 87331021, 119345523, 118679761, 98129014, 86751626, 179471924, 153839312, 29545950, 33823205, 151064476, 163526627, 7437543, 158902874, 212907835, 88457475, 60930050, 127901150, 94420609, 11128502, 10421591, 134418637, 104330210, 2915014, 186444046, 116247650, 1375471, 22464142, 169109617, 112817062, 70737589, 341375847, 122788219, 22349528, 42126297, 23136344, 187686516, 60762338, 4808035, 73828439, 28854300, 7492623, 19098511, 19222845, 55887444, 5229812, 26063013, 9948766, 24794713, 90349205, 207472463, 36104330, 64410245, 243882438, 81417567, 242762644, 102658799, 43313435, 62169313, 63829230, 31533926, 32543726, 31593570, 132767123, 216361775, 77874438, 11005039, 9219250, 39902837, 22643413, 43942944, 67476139, 6464083, 226294482, 14529771, 83112910, 3606992, 8385885 ], [ 19210235, 15111465, 91521943, 65044711, 136245013, 7829423, 157367015, 88185506, 75859888, 124515762, 38036421, 58519521, 22757081, 13920403, 59689519, 56713118, 18518610, 58008113, 21654249, 138673085, 29356258, 15010853, 12329776, 35267804, 8151623, 117016792, 25193416, 88701400, 39718218, 11209743, 7461902, 56534161, 52355039, 19490018, 9919743, 4666862, 81350712, 11435227, 236852238, 109689335, 188043164, 18248566, 4528959, 45303639, 196409804, 79799665, 74022439, 47714297, 26109682, 85786520, 23014269, 87331021, 12789386, 23491829, 98129014, 86751626, 175668135, 57345974, 105047485, 120843274, 280234015, 163526627, 33078773, 15008321, 212907835, 110667030, 24234743, 59124870, 16242110, 11128502, 2228938, 28263505, 104330210, 2915014, 142869674, 45644449, 69710786, 199257604, 8086272, 47754364, 153316241, 26643851, 205135835, 153388074, 995994, 31429016, 192082432, 137498785, 16187715, 73828439, 28854300, 7492623, 20532104, 19222845, 28138939, 5229812, 33887047, 6384058, 204568218, 1028840, 55886912, 79870237, 2167897, 15381447, 41497429, 29392895, 38484741, 43313435, 12933874, 39156272, 31533926, 136468134, 31593570, 58672491, 40441191, 77874438, 11005039, 9219250, 4246504, 39727414, 103526719, 67476139, 6464083, 34253607, 97987349, 63869633, 3606992, 64509653 ], [ 6925873, 13262061, 91521943, 88127156, 56975895, 32711496, 81223123, 28724859, 5001174, 16963829, 38036421, 25903025, 71615469, 39175709, 81942142, 15939864, 9235168, 9309138, 21654249, 7014724, 29356258, 15010853, 54507159, 548401, 15072477, 663951, 58548452, 31043805, 33120409, 12673692, 208032957, 9752379, 130629805, 84314686, 9919743, 21017453, 30261876, 55837967, 71011721, 64448995, 163526504, 88187737, 70068859, 30272902, 148251638, 171907556, 1085678, 47714297, 61817708, 78224680, 24494642, 87331021, 51243350, 28863318, 95105938, 86751626, 20533806, 164215030, 11163758, 186294807, 181559192, 163526627, 33395442, 34955791, 304727735, 9567324, 117692617, 59124870, 16242110, 11128502, 77515203, 104363341, 100173595, 6787830, 137897006, 84881396, 162094443, 133585203, 24397799, 26225179, 5989126, 27184679, 156582599, 45077948, 5486232, 14097842, 93628475, 18384142, 34164230, 73828439, 119485024, 7492623, 25832841, 19222845, 59406471, 5232805, 2009507, 43573138, 269033525, 165188381, 25234297, 143406921, 46124803, 13618800, 33082465, 136739244, 38484741, 43313435, 106621987, 120907501, 141938349, 25543509, 108892514, 58672491, 144199753, 77874438, 14935790, 9219250, 162226585, 7755034, 54559222, 262083054, 42882095, 12797032, 74621554, 40905260, 39011870, 73525059 ], [ 13698691, 25627318, 57332646, 68786783, 94269496, 7829423, 17837375, 43887386, 11338106, 40097190, 22907577, 15054942, 71615469, 174118816, 58009808, 29731753, 18518610, 148363555, 29159332, 56323737, 17088587, 42680527, 54507159, 117605892, 4836413, 43176167, 16674892, 12446119, 4139590, 21147669, 3901026, 9752379, 92420806, 12880190, 9919743, 107832548, 140274632, 80987188, 82843228, 109689335, 111039082, 10259202, 49905013, 53333722, 39853586, 10151165, 22487531, 99461273, 298608569, 54746248, 26014536, 86665551, 2031412, 49755262, 16043503, 74826905, 17500540, 27624956, 14648640, 103906597, 23271397, 145633933, 33078773, 12293544, 95621817, 9567324, 69275328, 3498867, 5518317, 11128502, 80712506, 104722467, 2585693, 60270550, 105449809, 38454805, 73825580, 9226336, 73064839, 19249411, 32822811, 147415542, 24766906, 13800938, 75852891, 23974405, 129190688, 143590005, 96008443, 17829568, 41389283, 7492623, 23401976, 19222845, 55887444, 5229812, 3858938, 20939168, 272014843, 107343912, 25234297, 79870237, 22173503, 114835017, 83503572, 54920280, 52774061, 20906078, 11775402, 36831880, 31533926, 885587, 36019941, 65007603, 57633652, 22788190, 14187457, 9219250, 39902837, 7574241, 7805551, 39219025, 37426293, 16510963, 24638621, 83112910, 33579362, 8385885 ], [ 41148238, 157874990, 91521943, 157120283, 32473899, 7829423, 8269977, 10728620, 8071420, 73459478, 11836062, 55136879, 162302188, 6355329, 44876244, 61328509, 35635354, 322273734, 172683996, 22370881, 29984501, 49384157, 44976469, 95441154, 32404941, 47168326, 70439458, 39720231, 49109317, 21147669, 43556553, 30479417, 73256883, 86439671, 101055769, 22945594, 63462593, 90589342, 23580742, 2472168, 85422202, 9182292, 51348534, 18235135, 91330508, 10151165, 46963576, 164091616, 76610971, 33280560, 195036129, 33810309, 45328380, 44232876, 17366602, 10654555, 46562688, 126129628, 11163758, 110186234, 60316979, 48882814, 33395442, 18959934, 104789369, 32473621, 12653804, 20876282, 15266253, 11128502, 57604465, 12719942, 8230972, 123169408, 7722635, 116247650, 94711742, 7094779, 145075117, 17230228, 76332171, 71711933, 24766906, 20985205, 973082, 31429016, 75813684, 86732196, 19474049, 57914762, 211227085, 91431720, 23401976, 19222845, 62281325, 96374691, 88494223, 9948766, 38725004, 6497371, 98266938, 81187037, 22173503, 36786239, 108013928, 10148911, 89766018, 61759250, 35164341, 57046841, 82131456, 134866272, 34900327, 2795846, 2190743, 77874438, 11005039, 39209490, 49250389, 22717768, 7805551, 63498054, 68831384, 4034821, 223595272, 161241580, 39011870, 9968081 ], [ 46604498, 32986793, 91521943, 201373945, 136245013, 7829423, 136192155, 10728620, 47429823, 22783534, 119367130, 29720741, 12975026, 11269213, 95117759, 177959023, 35635354, 48652304, 214441055, 42877873, 12504639, 3124335, 226998, 5971639, 32404941, 47168326, 147682427, 176357177, 85673659, 21147669, 17570951, 48525486, 73256883, 65714169, 9919743, 386199, 25134585, 80987188, 9985536, 18016876, 125247213, 74514401, 90828625, 10231917, 2227747, 926408, 2739906, 145062040, 83503633, 53480812, 26014536, 87331021, 17070917, 134157514, 17213121, 34775875, 21636417, 6044690, 66967279, 120057775, 22719135, 37045068, 90223625, 3549008, 28367226, 4770883, 131606927, 121142618, 5332193, 11128502, 65080746, 212235650, 2585693, 92766802, 176015694, 45644449, 142157452, 9886437, 45844492, 4062897, 233233563, 62487515, 24766906, 183263655, 973082, 23136344, 213042621, 31413257, 47087107, 73828439, 107951793, 7492623, 20532104, 19222845, 161908243, 5229812, 26063013, 14280183, 15364730, 52107103, 25234297, 162330304, 52718830, 141828354, 108013928, 10148911, 14861593, 43313435, 35164341, 94194490, 31533926, 18245555, 17980645, 75222315, 2190743, 1778507, 23962497, 9219250, 39902837, 94962878, 33357946, 18566907, 87110961, 61998149, 3638755, 81396539, 32505446, 21660261 ], [ 46604498, 54737019, 43139594, 199972879, 128094034, 22758531, 81223123, 91400823, 31816588, 69172837, 32186699, 74243328, 71615469, 58224974, 57273016, 159902062, 2506956, 10053466, 11188232, 57523743, 17088587, 15010853, 15862910, 13165614, 4836413, 6968936, 207093158, 29432266, 4139590, 21147669, 50069238, 48525486, 37924836, 6846038, 9919743, 6401481, 89979232, 100158668, 110155120, 109689335, 188043164, 57789333, 98787651, 29018262, 196409804, 13258139, 46963576, 2257890, 61817708, 9467251, 17004455, 87331021, 172103003, 67955405, 74241463, 94066848, 17500540, 23480928, 14648640, 37539156, 225196185, 37045068, 11604445, 48164330, 8952830, 23408616, 45883888, 59124870, 151621475, 11128502, 78451710, 31668833, 35186576, 60270550, 102316591, 11218434, 61210574, 214823964, 19353368, 19249411, 147557426, 181789425, 24766906, 87777003, 23990877, 23974405, 117120072, 31413257, 74453127, 20083284, 96119583, 7492623, 2224546, 19222845, 50139226, 5232805, 33887047, 32790822, 92652638, 90349205, 118628762, 79870237, 64410245, 167942498, 31349162, 135967796, 30097089, 15747426, 35164341, 68911876, 65105584, 136468134, 1250663, 38516360, 49664995, 12788432, 1330228, 4758860, 65373577, 83135938, 32182005, 67476139, 9655900, 70668870, 11770568, 263206452, 54663602, 63341827 ], [ 46604498, 36694498, 58499433, 25895467, 30732928, 80427181, 136192155, 53048301, 123919210, 101326919, 11836062, 74243328, 71615469, 11269213, 95117759, 74985494, 35635354, 95883853, 51287163, 42877873, 155369916, 80782010, 54507159, 5971639, 31517016, 43176167, 5164034, 39720231, 85673659, 21147669, 173720795, 9444588, 29973563, 19490018, 9919743, 21017453, 16958417, 12647385, 9985536, 18016876, 111039082, 222312816, 90828625, 45303639, 7150152, 11684360, 96064311, 120885925, 17323077, 71017003, 492873745, 86665551, 88175822, 18566832, 80188580, 467586022, 47564594, 35165228, 137106750, 82513676, 35213388, 20156673, 54596752, 12293544, 83133240, 4770883, 110304335, 20876282, 94420609, 11128502, 276590418, 56259894, 79314695, 12467909, 180962970, 84881396, 173116786, 176216109, 145075117, 167507113, 76332171, 62487515, 144419362, 65804678, 61016156, 23136344, 154897329, 31413257, 47087107, 73828439, 28854300, 7492623, 32774861, 19222845, 161908243, 141875621, 170319420, 651910, 6740041, 90349205, 147191683, 266439366, 48659214, 45051428, 81417567, 246766272, 1030147, 291330493, 35164341, 93962934, 178116595, 65918568, 1250663, 33068836, 162901039, 77874438, 56487388, 5300437, 83706078, 94962878, 146416411, 277962867, 919956, 78707398, 33164084, 159823085, 91047311, 63225456 ], [ 24568957, 49061805, 5294583, 65044711, 136245013, 7829423, 81052006, 5989259, 26598905, 61538472, 33741451, 25903025, 71615469, 127623137, 25976978, 125772067, 218497634, 211159140, 63094669, 13796972, 69861726, 172141060, 36882686, 152903501, 125499095, 29993714, 154014459, 37982539, 36979083, 9811063, 175702266, 72550058, 85182845, 84556870, 9919743, 88565377, 89979232, 110306232, 23078916, 17851940, 34145408, 154929301, 11947319, 124972417, 21013857, 181581527, 46963576, 108287723, 164758012, 203833526, 23014269, 10030682, 107252943, 181797986, 14478070, 13802806, 20533806, 512125, 206580784, 6610976, 115403208, 24643627, 50569829, 17485048, 95704344, 108437190, 80665036, 127901150, 68295644, 11128502, 176933451, 126048995, 21090655, 272079305, 17099403, 116247650, 26633138, 47807883, 80381280, 107850487, 178305860, 107612521, 24766906, 90826362, 125736475, 61529238, 192082432, 143590005, 11551154, 73828439, 122052279, 7492623, 292249988, 19222845, 55547071, 302134811, 47946239, 17042410, 58607856, 17052000, 42362674, 22447868, 21249530, 115517403, 165357810, 384318628, 160122026, 14415215, 35164341, 108142478, 22496294, 152283894, 31593570, 248228974, 14480882, 77874438, 20978695, 36310955, 24346444, 94962878, 20422629, 67476139, 103787205, 78707398, 161201582, 56493094, 796059, 158189237 ], [ 24568957, 73957937, 91521943, 30637130, 33277103, 79808401, 76975234, 47210767, 69518224, 65059950, 56884539, 74243328, 71615469, 114443924, 101165625, 12651714, 206907486, 44778422, 30352729, 29461190, 41789668, 45290344, 54507159, 34088334, 15072477, 43176167, 46545743, 46274253, 28364289, 19292422, 33422527, 9444588, 52355039, 19490018, 9919743, 45574469, 190660400, 33093107, 9985536, 52418410, 157175650, 88373968, 98787651, 18235135, 91602753, 45054839, 12758674, 145062040, 17323077, 134670537, 26014536, 87331021, 15067617, 76478293, 26675367, 86751626, 82126738, 36590580, 11163758, 6610976, 166121616, 14954491, 11447161, 48164330, 163080105, 4770883, 76549229, 5224622, 18432894, 11128502, 101377208, 104722467, 31607646, 6787830, 66248643, 51136416, 26633138, 71500726, 19353368, 26225179, 166971636, 19377587, 73106493, 22349528, 72416156, 12526600, 31450107, 5721089, 37520657, 73828439, 28854300, 7492623, 8702321, 19222845, 8434708, 109691374, 9352251, 9948766, 36576842, 30702354, 24852577, 23230623, 21893811, 55784193, 34483389, 66126466, 52719948, 283318677, 35164341, 24707432, 38456047, 54439278, 1250663, 6531870, 106401468, 71561743, 11005039, 50266610, 146705618, 94962878, 32182005, 37227739, 6464083, 78707398, 123441521, 53112, 18699896, 4334444 ], [ 54007952, 54737019, 48591627, 42415576, 8318133, 22758531, 136192155, 64205290, 35782385, 11982898, 64630490, 36562255, 29786437, 11269213, 95117759, 174597302, 18518610, 7791517, 43663793, 12230160, 9469597, 46042705, 40985255, 34088334, 8151623, 7844174, 16674892, 23771787, 23647385, 21147669, 32318278, 107823, 30070776, 27354116, 9919743, 16591845, 89979232, 13555557, 14389739, 101321538, 26312949, 39668587, 11947319, 124972417, 64956400, 23211245, 42579567, 5528881, 83503633, 25527181, 26014536, 53575456, 4543758, 92162321, 54048224, 10654555, 3850145, 6044690, 34291229, 6610976, 64474081, 37045068, 47880254, 173936168, 3393691, 23408616, 80665036, 20876282, 21940924, 11128502, 83734404, 56259894, 65771, 6787830, 23141481, 530850, 26633138, 69715463, 5564859, 85365281, 85742346, 19377587, 93224471, 46075800, 36719452, 23136344, 39372815, 52226857, 31459281, 20083284, 47753570, 7492623, 20532104, 19222845, 182449844, 43794881, 33887047, 43573138, 344537397, 32328827, 25234297, 22036461, 42714294, 28666453, 34374270, 28337482, 102658799, 2577731, 261660006, 63829230, 26874402, 152283894, 31593570, 38516360, 54283146, 77874438, 7027664, 9219250, 6556908, 94962878, 28617631, 133664623, 13234703, 52664562, 208043842, 19079704, 3606992, 20569385 ], [ 24568957, 83328899, 91521943, 65044711, 94269496, 7829423, 81223123, 5989259, 11338106, 43240855, 119367130, 30186565, 71615469, 51845718, 57273016, 15066279, 36090254, 44778422, 21654249, 21641970, 17088587, 88981481, 44698635, 34088334, 4836413, 43176167, 154014459, 224562856, 16651970, 21147669, 50069238, 47349397, 15113505, 76451841, 9919743, 107135997, 71870895, 52916695, 217041723, 92336763, 38921735, 17280545, 11947319, 124972417, 26152465, 5564078, 172487214, 108287723, 27658597, 75118583, 23014269, 30257612, 174860445, 67955405, 17366602, 10654555, 28570430, 28179810, 101852060, 6610976, 166121616, 116552131, 33395442, 4081438, 70686643, 85358304, 80665036, 48435405, 63046026, 11128502, 54995284, 163134051, 10258276, 226086838, 76745326, 63195208, 26633138, 71500726, 58722315, 128210871, 85742346, 104525346, 119531306, 90826362, 8841244, 23136344, 131190754, 143590005, 36523646, 164468550, 119485024, 7492623, 112610509, 19222845, 81259506, 5232805, 9904138, 32790822, 114793140, 30702354, 269178695, 218835269, 64410245, 246569753, 108598905, 150049881, 52774061, 199328976, 35164341, 99469150, 25197089, 20229549, 31593570, 13069568, 29650170, 77874438, 14935790, 67657025, 88814411, 22717768, 143609016, 286705412, 87110961, 70668870, 23136354, 166270172, 3606992, 8385885 ], [ 82816544, 257872067, 91521943, 120922829, 82046573, 7829423, 76975234, 10728620, 47429823, 16677736, 94819122, 36562255, 71466720, 12188205, 25976978, 41794532, 23464662, 113128695, 214441055, 21811876, 29984501, 66223794, 54507159, 34088334, 101437440, 47168326, 1324353, 46274253, 36979083, 9811063, 33422527, 236517936, 151550052, 65714169, 9919743, 23974404, 140274632, 227919788, 23580742, 82937059, 188043164, 74514401, 11947319, 45303639, 132262928, 171907556, 25750605, 47701206, 87561498, 99117815, 26014536, 31033888, 161036725, 67955405, 74241463, 13802806, 9859852, 177495547, 111386653, 294779666, 35055757, 272591686, 11447161, 137800229, 123532687, 23458859, 31291139, 20876282, 16242110, 11128502, 126936367, 108106601, 26179740, 105681623, 238622026, 45644449, 20794802, 54882807, 169109617, 51952883, 373099250, 77870115, 24766906, 6584297, 33774110, 23136344, 32312309, 116677132, 20337306, 73828439, 288842452, 7492623, 20532104, 19222845, 181829627, 5229812, 10287883, 43573138, 188458582, 81208466, 25234297, 22447868, 51029709, 132992065, 21330105, 78279576, 74491039, 199328976, 35164341, 94194490, 66908106, 66045757, 31593570, 9103766, 22984477, 77874438, 3207842, 35364549, 24346444, 7755034, 2082544, 37227739, 85358323, 35781802, 73978516, 166270172, 1461486, 119532830 ], [ 124294337, 13262061, 91521943, 27899268, 8318133, 7829423, 50325822, 49250549, 11338106, 162410623, 119367130, 343617, 71615469, 12188205, 55628023, 12983464, 18518610, 148363555, 16111413, 138673085, 9469597, 15010853, 16621108, 93712227, 8151623, 42378005, 54214717, 19528142, 4139590, 9811063, 43556553, 70712698, 68623986, 1422517, 9919743, 68298641, 70622171, 23384493, 166386918, 71756749, 161630182, 64691943, 4528959, 45303639, 39465332, 8738751, 206940519, 47714297, 61817708, 58812563, 26014536, 4856150, 5892332, 238983845, 115547, 13802806, 17500540, 57345974, 68601867, 100336660, 20752859, 148506673, 43978709, 36769191, 13930864, 9928952, 79036542, 20876282, 50326426, 576126, 78451710, 31668833, 16950518, 6787830, 42018138, 2550456, 69710786, 3496511, 75637108, 12573529, 233233563, 27184679, 40525522, 37326805, 70961308, 50133180, 98617895, 7014981, 68021826, 29302169, 28854300, 7492623, 2224546, 19222845, 29116927, 5232805, 37119810, 32790822, 65737184, 9978722, 25234297, 22447868, 2167897, 132078204, 89964661, 10148911, 102658799, 15747426, 21804975, 27070144, 17449333, 14097061, 43620320, 117490182, 144199753, 37966319, 14935790, 9219250, 24346444, 83135938, 43942944, 277962867, 6464083, 19618942, 23136354, 120708607, 13064769, 8385885 ], [ 82816544, 22529708, 9024081, 120922829, 8318133, 44134229, 81223123, 2963064, 47429823, 16677736, 3693519, 50368910, 34125339, 12188205, 57273016, 59109375, 40855158, 125722950, 209460781, 91072366, 9469597, 15010853, 46905316, 498896, 15072477, 47168326, 3234697, 18140653, 36979083, 9811063, 24007807, 41544785, 30480996, 73643258, 9919743, 100200947, 140274632, 111646838, 23580742, 36700884, 103109151, 30833161, 11947319, 93323456, 21892434, 10151165, 38907518, 33027000, 61817708, 3728851, 68774826, 31033888, 31024540, 49755262, 29789007, 13802806, 69399563, 134823790, 35880287, 82513676, 46095974, 14954491, 10055390, 114997795, 80090132, 37695852, 110304335, 20876282, 186112159, 11128502, 77589226, 50153561, 2585693, 28730007, 55101405, 45644449, 64072588, 62078491, 42791857, 26225179, 77230410, 19213264, 24766906, 39914296, 127956508, 23136344, 93628475, 104721923, 15135950, 21258094, 91518677, 7492623, 17049686, 19222845, 8434708, 43794881, 37119810, 16177529, 8006431, 9350717, 1876056, 7964056, 22173503, 13618800, 32434911, 80191240, 47583747, 43313435, 58720541, 24707432, 111978330, 18245555, 31593570, 8214768, 249961754, 77874438, 23962497, 9219250, 4246504, 20672213, 7805551, 18698354, 37426293, 35781802, 146748453, 2809997, 3606992, 59881781 ], [ 26691333, 86386740, 49553252, 2422827, 111280082, 7829423, 34444996, 114864725, 11338106, 60470620, 11836062, 74243328, 71615469, 75666424, 57273016, 22638092, 35635354, 148363555, 23948701, 96866342, 29984501, 15010853, 44698635, 30529436, 305617951, 117016792, 62303720, 4086075, 36979083, 9811063, 182484876, 12516096, 92420806, 1782654, 9919743, 22598478, 8281734, 12167084, 9985536, 37153598, 56845272, 18248566, 90828625, 45303639, 56922905, 57317810, 96064311, 22030126, 52869442, 78224680, 26014536, 72386568, 127743487, 67955405, 17366602, 10654555, 6695272, 126129628, 8247502, 26680442, 64474081, 116552131, 33078773, 89509321, 3993231, 4770883, 107754139, 146382436, 158975681, 11128502, 93913472, 104722467, 26179740, 2915014, 21396179, 2530196, 11424815, 70180680, 75637108, 112175446, 72967934, 27184679, 103800004, 153388074, 70961308, 23136344, 15363441, 107700029, 37520657, 37437763, 119485024, 7492623, 8982601, 19222845, 34189224, 5229812, 21532117, 133660106, 34881830, 24178693, 58017186, 1067901, 2167897, 132992065, 119413950, 76344831, 131842456, 199328976, 104164422, 36831880, 840379, 152283894, 17980645, 160355183, 54283146, 113209876, 60428375, 134744943, 24346444, 51565532, 25436413, 57895621, 67065931, 4842699, 9107706, 102896638, 13064769, 8385885 ], [ 27742747, 50540530, 91521943, 7150769, 53453168, 19122126, 76975234, 10728620, 16684911, 124515762, 119367130, 44502570, 8799657, 142443403, 228818974, 508383, 7619152, 9018652, 6662784, 15163429, 65605489, 118009155, 7097485, 16439853, 15072477, 13176388, 17558543, 2539870, 60254139, 21147669, 33422527, 1583679, 33588870, 230284187, 9919743, 18914570, 131985717, 56484265, 23580742, 36700884, 122282160, 68116851, 82262548, 124972417, 39598691, 48317508, 46963576, 227353382, 68677309, 4361837, 26014536, 30257612, 287138565, 104804112, 48014207, 23871470, 169494394, 6045037, 37915917, 6610976, 131604606, 40126632, 10055390, 7969807, 758187, 23458859, 9903185, 116873020, 126674761, 11128502, 20324473, 178537767, 129111987, 11171053, 117160094, 29962433, 26633138, 51554690, 19353368, 26225179, 17083892, 153155053, 188841, 90826362, 120283677, 157541383, 50063993, 10605098, 48098956, 5362144, 119485024, 7492623, 28408557, 19222845, 264493512, 5232805, 83551176, 6823891, 120942694, 81208466, 6496455, 48055400, 50865195, 125340561, 108598905, 94160696, 86169072, 3824292, 41462580, 19890395, 43458299, 3692935, 34900327, 47491451, 158375120, 77874438, 41798560, 85766347, 105760348, 20672213, 32182005, 111448997, 42882095, 280229745, 23136354, 40905260, 57156642, 54727878 ], [ 24568957, 13262061, 40672129, 53684186, 33277103, 7829423, 46118511, 10728620, 44920691, 38227826, 10267163, 15642840, 71615469, 136944891, 25976978, 8391546, 28891751, 132231350, 39005476, 15163429, 69861726, 46042705, 35710566, 5324878, 15072477, 43176167, 9823384, 46274253, 36979083, 9811063, 11513160, 70712698, 119456473, 19490018, 9919743, 15893949, 43619839, 111646838, 23580742, 202802, 36108440, 2773856, 98787651, 18051339, 30200234, 5564078, 16984205, 108246979, 28791263, 40251806, 26014536, 649515, 78451727, 211551143, 48014207, 6091251, 70431749, 66324518, 129080427, 2318695, 47375105, 163526627, 10055390, 29767864, 20884509, 23458859, 9903185, 20876282, 94420609, 7789227, 81048222, 134418637, 26179740, 12467909, 18865190, 29962433, 48982349, 69715463, 44841138, 26225179, 278574, 48006655, 188841, 117292107, 8841244, 35296671, 20142420, 49641595, 43446305, 5362144, 28854300, 7492623, 8702321, 19222845, 216840055, 47559984, 6095801, 6823891, 114793140, 32328827, 38645547, 22447868, 21430107, 112236543, 29603894, 85782824, 37917584, 3824292, 35164341, 48503409, 5035302, 152283894, 951905, 3457816, 93419607, 37495361, 4560446, 18596849, 24346444, 20672213, 47211406, 76350134, 6464083, 39724630, 38292425, 82075899, 104040177, 51127210 ], [ 69130284, 13262061, 57258132, 22543064, 16104424, 32711496, 39603904, 41655514, 18693593, 124515762, 63236971, 57573104, 71615469, 296263333, 104071999, 47161064, 35635354, 148363555, 1403933, 138673085, 33744066, 32090228, 54507159, 13165614, 2407550, 52742031, 16674892, 16485421, 9394504, 9811063, 32318278, 56261261, 79075716, 18212595, 9919743, 107832548, 59625208, 124640824, 116493760, 194479144, 154258459, 68116851, 28891767, 124972417, 196409804, 181581527, 284482705, 82128806, 99249481, 47986411, 8112671, 86665551, 51243350, 25942453, 2738498, 2477835, 62931609, 60824539, 11163758, 108112636, 248288832, 163526627, 1599606, 15008321, 86513307, 137077539, 110304335, 20876282, 94420609, 11128502, 65080746, 166078129, 26179740, 12467909, 34106109, 146629205, 39663821, 185524520, 134600317, 195376274, 2617442, 28654178, 112920836, 35564521, 227585947, 44031598, 18630531, 143590005, 36523646, 73828439, 28854300, 7492623, 26692664, 19222845, 107146911, 5229812, 47946239, 43573138, 55216540, 99579425, 5967825, 8410322, 64410245, 47042035, 35889896, 165751613, 311443911, 18029310, 271263108, 78500556, 26152720, 57043443, 3314149, 42449850, 54283146, 57992865, 85842713, 53440849, 3448604, 22717768, 220510134, 207669906, 6464083, 226294482, 9957602, 95588817, 183648095, 34091117 ], [ 69130284, 63788448, 91521943, 74511019, 136245013, 19028359, 11334436, 24065146, 54056093, 21111746, 22697464, 74243328, 68481917, 43984272, 37315513, 59170089, 18518610, 3489971, 21654249, 50333601, 29984501, 83754180, 54507159, 13165614, 8151623, 101192779, 147682427, 49806056, 4139590, 21147669, 182484876, 99290340, 176707072, 86439671, 22427269, 22598478, 277657016, 161635992, 240537181, 178648611, 188043164, 17280545, 224941162, 124972417, 124986952, 12150853, 17325362, 104662809, 345956795, 9650350, 26014536, 44776495, 12789386, 241356967, 98129014, 183902957, 17500540, 57345974, 58771131, 31897130, 227616751, 373079208, 33395442, 117795986, 23339880, 160549895, 131606927, 102854649, 50326426, 11128502, 45071348, 347360294, 104330210, 60270550, 55101405, 38454805, 353990221, 266212976, 85213851, 19249411, 175024078, 181789425, 203389746, 62375803, 94149337, 23136344, 129190688, 143590005, 18848261, 1850169, 191962791, 108662088, 121964589, 19222845, 87493375, 5229812, 113461032, 43573138, 8006431, 182619012, 8906505, 218835269, 64410245, 97772067, 36604720, 10148911, 17746653, 189617394, 35164341, 94194490, 31533926, 86645591, 2180325, 13069568, 170766797, 22727121, 14935790, 36540690, 1260411, 51565532, 87706176, 89173071, 46881726, 78707398, 349853773, 201661377, 20692942, 34091117 ], [ 108496570, 13262061, 91521943, 27543629, 100060974, 42600000, 157367015, 99774050, 108763704, 180100603, 22917316, 11836017, 12314644, 63070458, 44876244, 65309740, 18518610, 148363555, 145452590, 27230956, 130814572, 17451712, 52292132, 1781636, 8151623, 117016792, 17558543, 10882923, 36979083, 9811063, 125661117, 17844472, 28190702, 19490018, 7603521, 61929643, 24504630, 196513073, 10899413, 26723723, 11142073, 88187737, 114412716, 124972417, 228088460, 54717488, 53039174, 8996136, 79187697, 28023398, 15383545, 87331021, 12789386, 28863318, 98129014, 13802806, 46471104, 57345974, 11163758, 39158646, 144405045, 24647788, 19248583, 15008321, 267071496, 23458859, 9199391, 11729070, 50326426, 7789227, 30997187, 148975909, 26179740, 6787830, 106187831, 146629205, 35711547, 22464142, 19353368, 26225179, 119298931, 30518055, 188841, 62624780, 203993, 23136344, 93628475, 123070511, 16187715, 73828439, 28854300, 132229208, 33788022, 19222845, 119176544, 5229812, 63753642, 6371671, 134171221, 6682683, 61104428, 22447868, 64410245, 13618800, 29603894, 2904225, 85449438, 55492560, 130411749, 56989774, 31533926, 42514471, 34900327, 108941446, 144199753, 77874438, 4560446, 109239598, 24346444, 90507478, 32182005, 207669906, 6464083, 81277898, 26019715, 40905260, 57156642, 18448002 ], [ 159893389, 97085922, 44306063, 74831248, 130935980, 19122126, 81223123, 10728620, 47429823, 71013518, 11836062, 74243328, 13688128, 86837586, 57273016, 57395813, 7619152, 148363555, 21348020, 57593823, 29984501, 99930472, 3681839, 16439853, 15072477, 13176388, 7868675, 39720231, 26666345, 6892817, 52201792, 1583679, 60569619, 19490018, 9919743, 18914570, 71870895, 21268641, 23580742, 26723723, 36108440, 68116851, 98787651, 124972417, 85409986, 35150692, 46963576, 11190101, 27658597, 85786520, 26014536, 7980156, 14427986, 28863318, 15695663, 23871470, 17143545, 6045037, 14648640, 19219834, 220248948, 163526627, 1599606, 4081438, 758187, 8961591, 100139302, 11729070, 6005507, 8937545, 95310663, 8893245, 103885183, 12467909, 20588532, 283708219, 55950860, 8069948, 19353368, 19699909, 2617442, 6306853, 24766906, 125212268, 60566810, 23136344, 176057086, 42897, 37520657, 73828439, 28854300, 5193768, 77572742, 19222845, 160834213, 96917094, 9369806, 43573138, 120931723, 313584214, 52349875, 65078090, 60054095, 95365632, 29603894, 115582686, 24637347, 160364649, 8391882, 185714644, 7042152, 21710698, 1957091, 85561760, 240354627, 77874438, 14187457, 4758860, 25620397, 20039741, 10094996, 55087361, 6464083, 90077865, 9957602, 40905260, 57156642, 34091117 ], [ 199948301, 13262061, 91521943, 7150769, 89648487, 7829423, 89448006, 10728620, 47429823, 98673604, 33741451, 65139956, 14932721, 7823863, 104071999, 41794532, 35635354, 138495233, 188559672, 91072366, 94161174, 183131299, 7097485, 71558825, 15072477, 43176167, 58205030, 46274253, 16651970, 9811063, 216228118, 30479417, 82390790, 103716003, 18373136, 22598478, 66556052, 158934522, 9985536, 52418410, 181156747, 74514401, 114412716, 124972417, 39853586, 52521323, 15905892, 33027000, 28791263, 52133795, 42698796, 41269963, 112826420, 104804112, 74241463, 11735842, 55492492, 104382147, 24886092, 19219834, 57666185, 46481541, 11447161, 74046888, 172666486, 4770883, 69226209, 20876282, 121534562, 11128502, 93913472, 97035689, 2585693, 83174504, 137897006, 116247650, 52492171, 62078491, 116136521, 26225179, 76332171, 27273132, 24766906, 140116245, 4626969, 77275988, 1709984, 82443522, 16187715, 73828439, 200162818, 158219109, 47854487, 19222845, 21563954, 75897377, 103562615, 240495, 270386250, 63975941, 31953348, 15546031, 64410245, 132992065, 159688850, 65779695, 98752536, 85995535, 507095525, 66743373, 66279234, 18245555, 17980645, 75222315, 19785035, 3555110, 116580916, 174475791, 24346444, 51565532, 98672779, 37227739, 37426293, 49608853, 12114064, 120708607, 106515484, 34091117 ], [ 198271950, 22529708, 31489282, 7150769, 22315045, 49446834, 30202580, 10728620, 47429823, 52991591, 11836062, 1886090, 71615469, 18180573, 57273016, 3655378, 18518610, 115646117, 5524917, 2174876, 17088587, 58071436, 54507159, 34088334, 4836413, 17873, 10281903, 25014541, 30067257, 17804636, 50069238, 38606700, 130629805, 86439671, 9919743, 22598478, 82452293, 941774, 23580742, 7122117, 125121146, 7658704, 84751845, 11844658, 39598691, 25487878, 15905892, 36315263, 42823446, 78224680, 26014536, 5620285, 12789386, 11320060, 74241463, 29246001, 40649063, 57345974, 14648640, 68013201, 6314693, 24673442, 19248583, 48164330, 172666486, 209714237, 9903185, 27139584, 50326426, 7789227, 93913472, 11656968, 2585693, 30575984, 18865190, 76478636, 142157452, 52704067, 93400929, 26225179, 49030490, 6306853, 188841, 39497832, 85803485, 23136344, 8189443, 52226857, 3516890, 5362144, 119485024, 7492623, 44480180, 19222845, 53845845, 5232805, 158565485, 11293016, 14574570, 116978336, 22527219, 79870237, 64410245, 2842731, 79147676, 10148911, 47583747, 43313435, 35164341, 26274145, 55955951, 18245555, 34900327, 38516360, 19785035, 3555110, 14187457, 9219250, 162226585, 20039741, 51613150, 27708952, 42882095, 56787075, 124456633, 49757387, 39011870, 25740388 ], [ 6925873, 65502159, 91521943, 7150769, 70390093, 7829423, 81223123, 10728620, 47429823, 71013518, 22436671, 58141178, 68956184, 18180573, 23609316, 69899350, 16975223, 78097557, 46580370, 56392526, 29984501, 83754180, 3681839, 6828228, 11976576, 17873, 58205030, 31043805, 11211237, 21147669, 28121974, 9444588, 60569619, 19490018, 9919743, 22598478, 62666360, 52916695, 23580742, 80415472, 11142073, 53904184, 17055804, 105767801, 222415398, 11684360, 11842263, 36315263, 17323077, 56346379, 25582379, 7980156, 45328380, 52772735, 115547, 86751626, 40649063, 6045037, 37915917, 79400751, 220559772, 51921857, 8596627, 4081438, 95862390, 23408616, 69275328, 3498867, 94420609, 11128502, 22704879, 104722467, 10258276, 12467909, 6852133, 20584330, 55950860, 8069948, 10845223, 26225179, 72730439, 6306853, 24766906, 23507974, 9682972, 143099390, 93628475, 123070511, 94042713, 73828439, 28854300, 7492623, 44480180, 3742469, 132075651, 47309207, 9369806, 1404637, 14574570, 31741571, 338052878, 4066074, 46124803, 13618800, 108013928, 10148911, 126550663, 79723523, 12821873, 137293499, 31533926, 20229549, 48347238, 31420260, 81760361, 39529471, 142519476, 2726960, 71690795, 18120576, 10094996, 67476139, 6464083, 39389127, 74621554, 19034114, 126791122, 25740388 ], [ 27742747, 97085922, 9024081, 51594079, 33277103, 7829423, 78995092, 10728620, 47429823, 16677736, 33741451, 12235856, 71615469, 12188205, 57273016, 8519723, 35635354, 10920872, 61256591, 167063750, 29984501, 46042705, 36882686, 16439853, 21710163, 43176167, 115928257, 49806056, 4139590, 21147669, 2273841, 16435608, 30792772, 19490018, 9919743, 18914570, 14451065, 4258323, 9985536, 56058087, 188043164, 39668587, 98787651, 41882169, 7150152, 10151165, 3890878, 28538266, 27658597, 9501210, 22717297, 77325124, 123767071, 15889489, 26675367, 1166550, 103045746, 37667742, 105047485, 79440296, 17639151, 66316249, 11279980, 4081438, 39085807, 4770883, 57638092, 50604936, 65142907, 11128502, 9349723, 46041374, 2585693, 12467909, 105449809, 51136416, 44212882, 23355992, 109344126, 19249411, 70737589, 139986176, 24766906, 18964182, 36170586, 12526600, 175526994, 65261005, 36523646, 37437763, 28854300, 7492623, 8702321, 19222845, 107146911, 75897377, 47946239, 15323433, 77190568, 9350717, 24749793, 79870237, 22173503, 26342966, 70625722, 66126466, 222002474, 43313435, 36746780, 39156272, 31533926, 18245555, 17980645, 75222315, 54283146, 13721683, 34783453, 9219250, 85862857, 22717768, 7805551, 6081898, 6464083, 35781802, 49012783, 14470948, 39011870, 4643354 ], [ 25800264, 97085922, 85001253, 36703392, 91874416, 207511254, 188805647, 59815771, 47429823, 314453549, 31710734, 65590758, 62116312, 15543686, 104071999, 239134796, 35635354, 194178833, 46580370, 72920881, 7083997, 83754180, 15888152, 117605892, 32404941, 47168326, 1423423, 254563789, 85673659, 21147669, 216228118, 4131998, 119456473, 19490018, 9919743, 16244309, 48222143, 13555557, 78497795, 29478518, 96669871, 71322231, 88954935, 124972417, 61016016, 92174743, 46963576, 23554704, 39366964, 55109095, 11956630, 38642219, 45328380, 110193207, 74241463, 63475311, 26847428, 371620680, 14648640, 40026291, 64124675, 21538374, 38504136, 17836655, 6072719, 30647264, 93999531, 46730330, 17521143, 11128502, 30615116, 104722467, 12873107, 12467909, 202926398, 140993932, 55950860, 34125965, 76133265, 25902393, 126306295, 19739924, 24766906, 44118583, 99518106, 23974405, 176057086, 65261005, 45669564, 242568593, 28854300, 7492623, 35881988, 19222845, 101763516, 65146730, 47946239, 43184542, 65795867, 113769455, 216915600, 9570998, 50865195, 158521655, 47643464, 10148911, 38484741, 52080611, 35164341, 208282623, 114265518, 152283894, 71681637, 58672491, 54283146, 77874438, 14187457, 123821325, 2147288, 20672213, 69968745, 55087361, 6464083, 78707398, 76355897, 19034114, 64737594, 34091117 ], [ 8645269, 13262061, 86466776, 16731334, 136245013, 7829423, 76975234, 74180231, 102865718, 165836481, 69883608, 74243328, 71615469, 241630593, 57273016, 429294766, 35635354, 148363555, 14248063, 12230160, 29984501, 116153520, 54507159, 34088334, 89580179, 117016792, 202725313, 2566108, 113285747, 21147669, 33422527, 38606700, 80489237, 19490018, 9919743, 149559773, 277657016, 33093107, 198347695, 194479144, 70993791, 124550739, 49905013, 70712079, 153485305, 575174, 97950163, 96660690, 84387194, 85786520, 26014536, 54270648, 15067617, 67955405, 17366602, 58746990, 14464740, 71019915, 14648640, 31806507, 353148731, 120611480, 33395442, 48164330, 28936922, 48284023, 107754139, 324998447, 90734652, 4653545, 94932526, 181554449, 7688664, 12467909, 137897006, 43752832, 215236496, 380982373, 30783858, 205453014, 82797508, 156045941, 115436198, 83545925, 33741784, 9754385, 32124326, 143590005, 49717848, 73828439, 28854300, 7492623, 53375586, 29784863, 97838497, 70606203, 46551294, 26937902, 36576842, 149229613, 266844894, 105788147, 64410245, 154933537, 79147676, 58838564, 77177965, 3958747, 11261624, 36831880, 31533926, 149605703, 50885219, 194734734, 144199753, 56581478, 14187457, 98757284, 162226585, 86114681, 43942944, 33199371, 6464083, 102488981, 179658634, 40905260, 60191232, 12382764 ], [ 24568957, 64651500, 85001253, 74831248, 42255568, 10866938, 153897480, 59815771, 20532006, 143755982, 14618481, 44502570, 65459510, 119625111, 104071999, 93946093, 25137010, 132440258, 171695204, 27230956, 29356258, 4874411, 15888152, 34088334, 19443548, 41294856, 18636233, 10882923, 85673659, 21147669, 182484876, 9444588, 113865684, 19490018, 9919743, 1391450, 3361707, 125716863, 82889921, 97208240, 174423345, 88187737, 6687197, 41542461, 36955796, 10151165, 240017037, 5528881, 17323077, 85786520, 11956630, 33810309, 15434807, 49755262, 98129014, 86751626, 144266771, 8221730, 14648640, 86987670, 119698558, 163526627, 80522060, 43793973, 11910646, 37695852, 26348826, 20876282, 7095744, 11128502, 47738403, 101063877, 2585693, 6787830, 105449809, 29962433, 58222443, 144587711, 95255415, 141026992, 45404420, 167155196, 49073427, 48738460, 154857054, 18626228, 29171538, 24840250, 48669013, 1266482, 13926909, 7492623, 23401976, 19222845, 62289908, 5229812, 26063013, 43573138, 34881830, 67418016, 30869059, 79870237, 20159442, 13618800, 108013928, 10148911, 38484741, 1634069, 271263108, 53074212, 31533926, 18245555, 46811622, 58672491, 19501570, 13721683, 14187457, 4619027, 39902837, 82341926, 7805551, 67476139, 6464083, 30294394, 183176331, 40905260, 107654272, 21219715 ], [ 344813461, 436940386, 91521943, 367284122, 136245013, 7829423, 81223123, 108726042, 178697061, 69172837, 151853792, 74243328, 40597288, 235264079, 180966442, 477406369, 504723144, 27048850, 186974534, 245198, 17088587, 71658121, 54507159, 1781636, 4836413, 28809639, 58205030, 325756812, 85673659, 21147669, 50069238, 61524063, 84021814, 15439603, 9919743, 206866974, 85660278, 196513073, 17080176, 192971294, 9632481, 298934724, 98787651, 83719085, 39853586, 44525721, 172487214, 339529536, 540372511, 390158985, 26014536, 33810309, 149844787, 238983845, 98129014, 225340747, 291652, 294412516, 83837901, 39158646, 92315686, 194501621, 19248583, 74046888, 149049840, 152204219, 3148072, 8586489, 77793409, 11128502, 140177897, 389786277, 2585693, 118429636, 20588532, 115885899, 270574911, 4985758, 169109617, 167507113, 216596331, 77870115, 188841, 84272026, 270345948, 260844274, 75813684, 143590005, 149029918, 164468550, 43981870, 7492623, 344344074, 19222845, 31577202, 177986462, 118674083, 6823891, 272014843, 49412346, 117538686, 40117277, 64410245, 337965388, 165357810, 239675222, 52774061, 291330493, 35164341, 25731143, 84518457, 18245555, 1250663, 43134502, 69246407, 77874438, 20749786, 191715359, 46717975, 94962878, 282817243, 76350134, 92260302, 78707398, 100576982, 108222885, 233926784, 158189237 ], [ 69130284, 13262061, 58499433, 22761299, 136245013, 7829423, 3718220, 107725003, 11338106, 97229913, 38036421, 74243328, 84520594, 174118816, 104071999, 74803667, 28891751, 46153889, 5312691, 15163429, 29356258, 46042705, 2934068, 13165614, 225701737, 21434280, 147682427, 10882923, 85673659, 21147669, 24467787, 219140333, 66190407, 30705108, 130064242, 55362925, 16958417, 4258323, 9985536, 84901936, 73894573, 16703260, 244459280, 107106667, 92458614, 12349849, 80408889, 183317114, 84387194, 85786520, 22717297, 87331021, 42336102, 22489912, 16917306, 86751626, 158521879, 134244843, 156251954, 6610976, 104468240, 36481519, 10055390, 105846897, 14845455, 4770883, 28166143, 59124870, 106429045, 11128502, 80079426, 120495860, 104330210, 59467860, 7785352, 51139277, 26633138, 14421553, 162092907, 77867070, 24338464, 114054923, 23236782, 90826362, 4293020, 57343845, 176057086, 63061736, 52984891, 49107723, 6810807, 22853614, 53375586, 19222845, 62266721, 20901726, 87409555, 43573138, 39356024, 26937213, 147191683, 4092571, 64410245, 45051428, 165357810, 42055225, 10328263, 30818252, 4854131, 44036023, 31533926, 90753229, 17980645, 27622971, 144199753, 17911957, 23608420, 5300437, 85862857, 90507478, 52677320, 26230808, 61771202, 76870292, 43911121, 40905260, 182816127, 8385885 ], [ 174162059, 22733343, 1387168, 50682523, 136245013, 10866938, 81223123, 41655514, 11338106, 94202654, 71303346, 74243328, 71615469, 13920403, 79054710, 57395813, 35635354, 35210160, 21348020, 23242567, 29984501, 176407070, 54507159, 34088334, 264891792, 117016792, 10281903, 10882923, 13934404, 9811063, 45314492, 152572608, 92420806, 90961544, 9919743, 1391450, 154444328, 100440667, 9985536, 52418410, 85422202, 8336817, 84751845, 93323456, 56922905, 5564078, 63708188, 45889349, 91589825, 85786520, 26014536, 87331021, 111822348, 49755262, 17366602, 10654555, 44384809, 95050063, 14648640, 1753138, 16816280, 163526627, 33395442, 6921616, 189214701, 4770883, 50424878, 116873020, 80335514, 11128502, 89756829, 104722467, 26179740, 6787830, 69958014, 24630831, 48982349, 60945208, 16500950, 205453014, 49030490, 16905223, 23898966, 37326805, 8841244, 23136344, 176057086, 117441426, 176551712, 73828439, 119485024, 7492623, 21326449, 19222845, 97838497, 5229812, 27230268, 43573138, 4780273, 9350717, 1645927, 22447868, 22173503, 15381447, 165357810, 80191240, 10328263, 110035238, 104734388, 39156272, 31533926, 152283894, 17980645, 42970893, 40961306, 17911957, 6292514, 17474118, 5759422, 94962878, 7805551, 184483815, 37426293, 5855276, 63030308, 24254243, 122819187, 8385885 ], [ 60238745, 97085922, 2116312, 27543629, 33277103, 7829423, 34444996, 41655514, 61356638, 89309315, 10278007, 34610107, 71615469, 6049784, 22090208, 15939864, 6674342, 148363555, 145452590, 14622772, 29984501, 46042705, 45201766, 13165614, 84389921, 663951, 58548452, 82291641, 39718218, 21147669, 33422527, 71246059, 29973563, 53230853, 9919743, 34571402, 66643059, 904925, 217041723, 151382213, 188043164, 39668587, 42794805, 119511733, 91602753, 37449118, 115922021, 145062040, 14335983, 13381147, 26014536, 77325124, 51512369, 24024281, 98129014, 86751626, 21636417, 60824539, 117059886, 149653581, 113367325, 46481541, 11447161, 74046888, 8508594, 81564991, 112297180, 266634792, 56569988, 11128502, 80079426, 250778913, 104330210, 7409211, 136530774, 76258876, 52492171, 14421553, 44841138, 31060584, 51701143, 44235816, 74513617, 140116245, 7835358, 16196357, 32312309, 63061736, 37520657, 73828439, 40205379, 7492623, 8702321, 19222845, 55887444, 109760468, 47946239, 15323433, 211593981, 32328827, 5967825, 8410322, 64410245, 112236543, 72897046, 94160696, 76288279, 55492560, 36746780, 48503409, 8198026, 152283894, 34900327, 37091167, 54283146, 71561743, 23608420, 63080589, 54561493, 94962878, 108504473, 37227739, 35652117, 76733489, 12114064, 14470948, 195416283, 34091117 ], [ 69130284, 102758420, 25644859, 47660980, 136245013, 24253725, 76975234, 10728620, 47429823, 77454367, 111594686, 69354034, 22757081, 69025531, 79054710, 41794532, 18518610, 148363555, 374654356, 85207127, 58345481, 17955149, 54507159, 13165614, 8151623, 47168326, 132034740, 31043805, 28364289, 17592552, 33422527, 71246059, 138637700, 30705108, 9919743, 51601364, 66643059, 88427717, 23580742, 194479144, 85422202, 74514401, 98787651, 124972417, 62836387, 181581527, 46963576, 23554704, 14335983, 41022321, 26014536, 23471616, 12789386, 21139736, 17366602, 63268805, 146822769, 57345974, 23907835, 3880342, 163653802, 228691282, 11447161, 22798910, 39085807, 37695852, 107754139, 189847374, 17521143, 11128502, 38757949, 297797517, 2167291, 30575984, 56193605, 155011116, 6179216, 14421553, 24397799, 26225179, 51701143, 16905223, 20229254, 38994311, 49802009, 57307319, 32312309, 41690395, 37520657, 288849127, 157498522, 5193768, 21326449, 19222845, 97838497, 294842927, 195617677, 33975508, 257860806, 53249682, 207298763, 20750624, 20159442, 13618800, 165357810, 32449889, 2331077, 79723523, 12933874, 210569467, 31533926, 152283894, 34900327, 70427007, 81760361, 3555110, 23608420, 190914226, 1588375, 82341926, 1724711, 37227739, 14633274, 4842699, 349853773, 67233881, 8020871, 34091117 ], [ 161276089, 65502159, 72260526, 137825873, 108995758, 8396742, 85986954, 10728620, 47429823, 69172837, 70662746, 74243328, 71615469, 221330774, 95616906, 97040366, 35635354, 148363555, 23585327, 111177740, 17088587, 159496705, 54171904, 1781636, 4836413, 47168326, 70439458, 32340076, 8389009, 9811063, 16904080, 35171608, 60569619, 75366654, 9919743, 18914570, 71870895, 52916695, 23580742, 64448995, 27695984, 74514401, 95841443, 124972417, 85409986, 103063221, 22487531, 145062040, 27658597, 177415178, 26014536, 7980156, 87034032, 28863318, 74241463, 13802806, 70431749, 6045037, 14648640, 39158646, 66163271, 134533798, 8596627, 4081438, 181978234, 117575854, 100139302, 2672881, 6005507, 10560169, 42411904, 104722467, 10258276, 30575984, 16156870, 53732492, 20005229, 8069948, 24397799, 26225179, 41445570, 6306853, 24766906, 34098871, 58771289, 23136344, 192082432, 143590005, 16187715, 73828439, 131632340, 7492623, 77572742, 19222845, 55547071, 299040060, 9369806, 38000151, 51678937, 73615931, 60341589, 22447868, 64410245, 61157037, 126609746, 26796984, 52774061, 107560852, 11261624, 27391946, 60361613, 20229549, 34900327, 171086823, 39972636, 3410255, 14187457, 85766347, 24346444, 20039741, 10094996, 67476139, 37426293, 172895054, 171422149, 19034114, 13486249, 48756787 ], [ 55347018, 83328899, 91521943, 74831248, 136245013, 7829423, 138825044, 99774050, 16075267, 111941412, 170793321, 74243328, 71615469, 59370111, 53604258, 120030736, 206066800, 161340338, 51287163, 23242567, 130814572, 204617165, 45578680, 34088334, 7184443, 43176167, 10281903, 8874972, 85673659, 21147669, 182484876, 269788962, 49821041, 84314686, 9919743, 229013731, 85660278, 125350875, 217041723, 26723723, 36108440, 303535336, 49905013, 42432070, 217768444, 181581527, 329039816, 5528881, 102949115, 323411093, 86951954, 70731309, 161036725, 397982910, 47110452, 30363827, 179471924, 71019915, 68601867, 16330527, 452271751, 24647788, 38504136, 74046888, 189214701, 134979360, 110304335, 20876282, 180184322, 11128502, 81048222, 73698525, 214073558, 118429636, 20588532, 76258876, 58222443, 262537665, 169109617, 97649919, 49030490, 48006655, 40525522, 183263655, 297146846, 23136344, 143989921, 143590005, 48669013, 164468550, 446275943, 7492623, 170575126, 19222845, 227162778, 65146730, 229946323, 43184542, 169212428, 310801574, 207472463, 177973796, 64410245, 33373381, 29603894, 115582686, 277177721, 43313435, 118933817, 48503409, 8198026, 152283894, 62702179, 54058096, 240354627, 77874438, 82300461, 9219250, 85862857, 94962878, 38471744, 76350134, 85358323, 352177395, 208043842, 40905260, 233926784, 34091117 ], [ 174162059, 97085922, 40672129, 88659444, 136245013, 7829423, 76975234, 83687780, 11338106, 43240855, 119367130, 6534387, 71615469, 7265395, 92079492, 379358236, 136111086, 48652304, 352064233, 245198, 7083997, 145340171, 35710566, 1781636, 18345311, 28809639, 104162020, 31043805, 28364289, 21147669, 33422527, 70712698, 92420806, 19490018, 9919743, 34571402, 59625208, 153513084, 39196081, 192971294, 74975305, 62464799, 98787651, 81593304, 239972320, 68767423, 329039816, 145062040, 53579710, 75118583, 66641889, 10030682, 246096465, 112735917, 17213121, 28002194, 20533806, 81727995, 14648640, 7363073, 92315686, 62537628, 150484176, 26912516, 53585594, 10626534, 2362378, 437758823, 5332193, 11128502, 3837077, 326914497, 104330210, 12467909, 180067224, 76258876, 39663821, 4985758, 19353368, 220942899, 216596331, 11589281, 155451394, 198552263, 94149337, 23136344, 65709753, 121374434, 204701119, 73828439, 28854300, 2933573, 53375586, 19222845, 31577202, 5229812, 47946239, 43573138, 65795867, 149229613, 129171126, 140729979, 64410245, 141828354, 165357810, 35033547, 113636157, 134272180, 108027953, 48503409, 8198026, 152283894, 87268705, 194919342, 54283146, 77874438, 14187457, 373464588, 39902837, 94962878, 32182005, 45650308, 6464083, 26173375, 3638755, 108222885, 1712931, 8385885 ], [ 18021975, 73957937, 16012656, 41423579, 1773737, 29897501, 40798206, 7704529, 154010100, 150132803, 16062016, 58141178, 44812510, 43984272, 198856555, 18825598, 43558082, 75726876, 23941292, 245198, 69861726, 145340171, 54507159, 34088334, 15072477, 28809639, 212496245, 41914876, 11211237, 21147669, 33422527, 70712698, 23958471, 19490018, 32178934, 34571402, 99337840, 30618880, 123466888, 16856511, 10896384, 124550739, 5606783, 29584991, 29028061, 18447280, 10950694, 145062040, 42823446, 37487917, 26014536, 10030682, 35072946, 211500594, 34222951, 67072244, 18247964, 9884510, 38478205, 5392355, 92315686, 46052756, 17099733, 63735796, 4695700, 23458859, 54679188, 11729070, 94420609, 8937545, 109538670, 104722467, 55157888, 7409211, 18865190, 89121908, 80017499, 4985758, 43788494, 26225179, 31895489, 33612121, 96843841, 20408471, 33774110, 23136344, 38087537, 17643822, 205601019, 7281866, 28854300, 12856209, 155222131, 19222845, 31577202, 286195701, 88012832, 43573138, 27427763, 81208466, 173947430, 6227883, 64410245, 48025551, 29603894, 94160696, 123751154, 49394737, 110533851, 98822938, 31533926, 46884871, 34900327, 10868973, 90757127, 35496957, 1677276, 54955047, 5548202, 11520981, 239147563, 37799658, 6464083, 119466862, 166772213, 108222885, 166224448, 82023210 ], [ 22828069, 97085922, 16012656, 70998739, 53966626, 7829423, 270441902, 7550502, 47429823, 146809552, 38036421, 74243328, 68580434, 7265395, 23609316, 69899350, 148249129, 5078803, 86689388, 27230956, 29356258, 99930472, 54507159, 34088334, 15072477, 17873, 79781033, 10882923, 115719030, 21147669, 21943631, 70712698, 29973563, 3293025, 9919743, 140165308, 140274632, 165346493, 23580742, 26723723, 16227081, 74514401, 17055804, 119808542, 24703941, 181581527, 46963576, 29416730, 327659103, 73689286, 57039402, 10030682, 223696259, 87302496, 115547, 73166066, 107804178, 9884510, 324180337, 7082240, 64474081, 62537628, 54596752, 65564374, 6885870, 134979360, 2245013, 11729070, 26803841, 8937545, 35271930, 134418637, 27748232, 12467909, 16156870, 43964247, 58222443, 90102240, 44841138, 26225179, 74590553, 33612121, 5551292, 17196873, 27512793, 23136344, 21136282, 143590005, 37520657, 55513661, 28854300, 7492623, 44480180, 23028410, 197965483, 214866868, 6836826, 43573138, 9990895, 177757442, 42362674, 79870237, 48659214, 112236543, 29603894, 34767629, 38484741, 142370004, 60066507, 133629150, 49678368, 79686694, 8928103, 58672491, 3801035, 77874438, 123359600, 2726960, 5548202, 61682772, 124333307, 53718499, 6464083, 177036964, 14367156, 40905260, 45338173, 34091117 ], [ 12732776, 38167608, 91521943, 277387486, 33277103, 42600000, 52385941, 237504888, 25044537, 177120889, 46597831, 17470031, 68580434, 42634458, 59603933, 201266211, 36090254, 44778422, 134440856, 138673085, 58345481, 204617165, 54507159, 1781636, 15072477, 12564057, 147914446, 2539870, 85673659, 21147669, 89209528, 30479417, 14708921, 302525105, 9919743, 22598478, 24264024, 23499819, 12969820, 26723723, 16227081, 17280545, 98787651, 744442, 121451345, 181581527, 22147002, 145062040, 2822728, 59082130, 26014536, 87331021, 87034032, 42624056, 74241463, 84462441, 179471924, 80871800, 25272896, 31897130, 64197642, 146962618, 165837909, 74392646, 28936922, 75669489, 110304335, 20876282, 55697751, 12038604, 53217957, 134418637, 88152723, 30575984, 20588532, 179330511, 39107390, 44662532, 169109617, 26225179, 216596331, 93521448, 24766906, 233629753, 48897944, 23136344, 131190754, 143590005, 37943800, 73828439, 66575231, 7492623, 8702321, 19222845, 227162778, 298228350, 6836826, 15323433, 97770868, 23537079, 38572161, 140729979, 94614336, 79935483, 29603894, 115582686, 102721528, 116187027, 35164341, 157247747, 41670577, 66953849, 34008160, 13069568, 3801035, 5008904, 68755628, 135279616, 49935680, 51565532, 278246155, 7511567, 37426293, 78707398, 133945209, 120708607, 233926784, 82023210 ], [ 12732776, 38167608, 91521943, 39300899, 68797297, 42600000, 52385941, 108726042, 25044537, 97229913, 46597831, 55136879, 71615469, 7265395, 57273016, 132715581, 36090254, 148363555, 100770529, 138673085, 29984501, 46042705, 54507159, 15734027, 21710163, 47168326, 26468430, 2539870, 85673659, 21147669, 177004701, 225403323, 37924836, 42594670, 9919743, 22598478, 89979232, 23499819, 240537181, 26723723, 36108440, 17280545, 98787651, 124972417, 141293504, 10151165, 46963576, 101269026, 106526601, 59082130, 26014536, 63164775, 96358346, 49755262, 74241463, 10654555, 107832807, 248076568, 14648640, 31897130, 104468240, 62537628, 19248583, 48164330, 88274678, 136500483, 7457762, 8586489, 63046026, 11128502, 53217957, 41498887, 4377831, 181534534, 61216899, 154794640, 103216364, 31134821, 34547962, 88889098, 70737589, 207607721, 188841, 24452503, 44399837, 23136344, 131190754, 45723755, 52984891, 73828439, 223681481, 7492623, 23401976, 19222845, 182533447, 20901726, 47946239, 43573138, 57765468, 32328827, 8138721, 6227883, 22173503, 18143679, 25454859, 101189550, 160122026, 139456235, 35164341, 10655704, 41670577, 66953849, 93898343, 13069568, 54283146, 5008904, 4778538, 78443578, 88814411, 51565532, 7805551, 91501237, 45170311, 78707398, 111288290, 172401515, 39011870, 136721884 ], [ 136706325, 39301225, 40672129, 124334279, 102434796, 29709941, 7199722, 7341564, 47429823, 68097568, 23414985, 74243328, 22757081, 42278554, 60931390, 299491671, 51625117, 10053466, 21654249, 245198, 162658014, 69407280, 54507159, 1781636, 4155465, 455495, 189346278, 2539870, 34996821, 21147669, 145809542, 214907965, 13192576, 67598825, 7603521, 106027758, 140274632, 60030229, 23580742, 26723723, 36108440, 30771711, 89956363, 14539178, 198398511, 109407790, 8899107, 49292607, 42823446, 16255500, 68774826, 10030682, 204706919, 100896772, 74241463, 122424808, 62455482, 4698523, 14648640, 14786749, 22719135, 35379752, 42297499, 48164330, 163394615, 23458859, 125336662, 102854649, 23333317, 11128502, 27213168, 104722467, 191834795, 11856924, 18865190, 115885899, 142157452, 4985758, 95255415, 26225179, 59944870, 26643851, 24766906, 45077948, 105321947, 23136344, 26321502, 99141108, 187490217, 73828439, 90594670, 7492623, 77572742, 19222845, 31577202, 95982930, 58884049, 6371671, 72877237, 53249682, 207472463, 50157494, 48659214, 51432934, 29603894, 15617551, 32914938, 43313435, 12933874, 68911876, 49678368, 26827882, 102819680, 47491451, 24842932, 37495361, 4560446, 9219250, 1231057, 66898916, 35402440, 50404181, 114931226, 607800, 11770568, 29646304, 39011870, 20795764 ], [ 47394511, 14711397, 91521943, 3022990, 117088657, 7829423, 98350183, 10728620, 14570112, 227422075, 111990598, 74243328, 79836881, 987623, 49479910, 275520263, 76141940, 10053466, 67415889, 37690172, 28306976, 24497345, 16621108, 34088334, 21710163, 47168326, 7868675, 95771511, 4139590, 11920664, 108267654, 125103410, 28190702, 528225, 45833784, 41163899, 94016595, 241628217, 23580742, 19598858, 5540999, 9182292, 6687197, 11844658, 7150152, 10151165, 34507753, 145062040, 42823446, 60223950, 86951954, 20481205, 1546238, 49755262, 74241463, 10654555, 70792158, 170583610, 14648640, 34442368, 64921445, 14572170, 19248583, 48164330, 82787242, 23458859, 2235822, 27139584, 111536318, 7789227, 36926570, 41029784, 27748232, 27358467, 18865190, 64315384, 142157452, 46000249, 39776867, 19249411, 92103718, 189474404, 188841, 77888265, 44399837, 23136344, 6180455, 45723755, 16318277, 73828439, 13926909, 9952316, 23401976, 11486205, 119176544, 78024593, 47946239, 43573138, 259457550, 81208466, 54551988, 136179692, 22173503, 28227691, 15798931, 2904225, 47583747, 1634069, 35835821, 68911876, 31533926, 201496898, 8928103, 86028003, 54283146, 783751, 14187457, 247891110, 46623379, 11520981, 7805551, 79131697, 74542757, 20476368, 165920635, 49757387, 54663602, 10384455 ], [ 69130284, 97085922, 31489282, 41920490, 112709536, 7829423, 76975234, 7341564, 31816588, 124515762, 10278007, 74243328, 16948464, 68160874, 57273016, 21736456, 35635354, 35210160, 5524917, 93174511, 34487194, 116153520, 7097485, 13165614, 15072477, 8962540, 9823384, 320799623, 36979083, 9811063, 33422527, 37980700, 82390790, 70631717, 9919743, 15893949, 66643059, 125350875, 23580742, 7122117, 74723339, 9182292, 98787651, 124972417, 85409986, 116921833, 46963576, 120116826, 154823277, 16255500, 28855344, 87331021, 17773932, 59131599, 74241463, 13802806, 55170009, 4698523, 68601867, 27143142, 319875367, 826623, 11447161, 160754148, 212274550, 91514620, 77986125, 71913506, 267360766, 11128502, 80079426, 28228757, 26179740, 121067960, 124936471, 15715109, 52492171, 4985758, 56067335, 26225179, 51701143, 44235816, 24766906, 45077948, 94149337, 31608888, 32312309, 143590005, 74453127, 73828439, 307677094, 7492623, 77572742, 19222845, 31577202, 129775263, 66043131, 43573138, 72877237, 63975941, 31953348, 17646436, 64410245, 38917360, 24043563, 94160696, 289133628, 93866529, 95185327, 159429464, 216546553, 75624451, 34900327, 28982611, 154271474, 77874438, 23608420, 49855642, 24346444, 94962878, 166319015, 2446172, 140168021, 39724630, 12114064, 223189523, 39011870, 34091117 ], [ 24568957, 13262061, 40672129, 4412698, 1773737, 49829016, 98350183, 24077093, 28628523, 16677736, 23414985, 31602244, 71615469, 7265395, 85724677, 79205732, 126091261, 5078803, 139142417, 2174876, 17088587, 32527896, 54507159, 20345490, 4836413, 455495, 231150847, 4925485, 4139590, 9811063, 50069238, 94730687, 92606605, 75366654, 7603521, 140165308, 94017613, 125350875, 123466888, 65879175, 108687630, 100377335, 34362516, 124972417, 24402478, 181581527, 46963576, 240286478, 60233218, 12824049, 26014536, 10030682, 78451727, 42624056, 74241463, 13802806, 22738627, 9247256, 32669054, 7082240, 356072434, 62537628, 19248583, 160754148, 91914071, 23458859, 131606927, 11729070, 23333317, 8937545, 27213168, 126197054, 26179740, 23540961, 112527403, 29962433, 142157452, 4827240, 19353368, 19249411, 110618098, 33612121, 188841, 183263655, 128009434, 36986266, 164367413, 55460168, 1870338, 148147782, 90594670, 7492623, 112610509, 19222845, 31577202, 28933106, 64743094, 6371671, 34258158, 81208466, 118121765, 22447868, 26338059, 132324476, 30821369, 380359982, 52774061, 43313435, 143277093, 68334662, 43458299, 51741633, 82675553, 69216091, 144199753, 77874438, 144385979, 9219250, 24346444, 61682772, 32182005, 335967848, 45170311, 35781802, 112207669, 142619239, 54663602, 61024081 ], [ 59303711, 13262061, 91521943, 27543629, 136245013, 7829423, 98350183, 1459375, 31816588, 62366988, 71444957, 74243328, 71615469, 119508510, 82691050, 63008251, 18078326, 109218945, 43663793, 138673085, 84575087, 32090228, 24213544, 3483270, 14298926, 43176167, 147914446, 19528142, 4139590, 21147669, 90105736, 47838412, 28190702, 121248657, 9919743, 180270267, 180523003, 61138003, 31734470, 97208240, 89106854, 115658817, 98787651, 78773414, 62605897, 8738751, 273219127, 145062040, 299862749, 27532348, 26014536, 53575456, 111175371, 390683158, 98129014, 106487485, 21636417, 111471997, 39065278, 93772333, 144405045, 51921857, 43978709, 36769191, 69052497, 114044456, 131606927, 53716457, 8109369, 11128502, 94932526, 49008291, 39876951, 60270550, 76432939, 116247650, 164956031, 90102240, 46770323, 19249411, 76332171, 121529825, 40525522, 63937692, 7835358, 23136344, 9650165, 143590005, 85715657, 40272716, 16377744, 7492623, 99521780, 19222845, 88072660, 59706112, 20276681, 43573138, 109505684, 13894074, 25234297, 79870237, 64410245, 44385067, 100601120, 2904225, 14861593, 18029310, 35164341, 68911876, 11936774, 143535440, 3314149, 40931007, 144199753, 1778507, 123359600, 9219250, 162226585, 83135938, 47528981, 18566907, 142662399, 39389127, 120136023, 62399583, 168663, 75877545 ], [ 36165227, 25627318, 20675186, 135265314, 39546168, 7829423, 81223123, 230690594, 31816588, 39316808, 148654513, 74243328, 162302188, 19170202, 82691050, 31492154, 35635354, 148363555, 29159332, 123495781, 1549220, 32090228, 54507159, 29905141, 89940668, 43176167, 147914446, 9297054, 85673659, 21147669, 216228118, 9752379, 108507156, 231457252, 139531685, 57662041, 85660278, 12448949, 68006720, 61987849, 154258459, 10259202, 135831909, 44225706, 216492303, 134952567, 165450525, 5541362, 92826717, 56346379, 26014536, 87331021, 51243350, 28922729, 62202479, 36514051, 24442330, 40852205, 11163758, 16330527, 158349795, 48287149, 33395442, 48164330, 25872681, 9567324, 57638092, 53716457, 25329720, 11128502, 18298946, 73698525, 37950454, 28358421, 20588532, 9022882, 100297601, 4232416, 95255415, 64889486, 93647738, 83560842, 40525522, 14250187, 75852891, 23974405, 192082432, 143590005, 223189329, 73828439, 189094499, 71502340, 82580793, 19222845, 62289908, 65146730, 26063013, 43184542, 213428215, 3962925, 6496455, 57329203, 41300367, 12439658, 19451382, 94484605, 14861593, 18029310, 118933817, 101687233, 26152720, 75701222, 3314149, 10930884, 158375120, 1778507, 14187457, 9219250, 157218040, 7574241, 47528981, 18566907, 48791520, 39389127, 124456633, 83112910, 183648095, 123716021 ], [ 3046513, 49123215, 46606062, 91579127, 136245013, 7829423, 81223123, 115771306, 347283602, 134695259, 151853792, 36562255, 40848832, 119733542, 124769759, 363894396, 35635354, 58008113, 33323390, 128972561, 8048060, 66223794, 54507159, 117605892, 158127775, 111440811, 64438711, 67285773, 127774200, 21147669, 216228118, 31437449, 5807442, 19490018, 9919743, 107832548, 277657016, 65573225, 14350763, 12252368, 4234006, 320926324, 8109123, 124972417, 251836186, 31935825, 84757146, 5528881, 287907317, 108817684, 26014536, 73874700, 28551907, 71020896, 34079524, 7498357, 75770217, 5161767, 11163758, 47727306, 20121294, 103534655, 5878601, 48164330, 14519378, 152204219, 131606927, 12512447, 8109369, 11128502, 18298946, 261010985, 59956362, 12467909, 2603040, 116247650, 90525627, 24505773, 26679701, 69209391, 266111096, 413618163, 360182453, 14250187, 179762713, 23974405, 49789777, 116677132, 48669013, 73828439, 28854300, 7492623, 80374169, 77078727, 15727200, 5229812, 20276681, 43573138, 233082337, 34800999, 25234297, 24230525, 24454217, 33373381, 108598905, 60881301, 74355201, 21571738, 35164341, 14671956, 132337550, 80205185, 108892514, 30976493, 54283146, 23804545, 14187457, 41122653, 39902837, 94962878, 28617631, 67476139, 6464083, 78707398, 177756543, 289593839, 64737594, 11731793 ], [ 24568957, 97085922, 67931810, 126541649, 30900285, 7829423, 98350183, 230690594, 47429823, 139753242, 126992149, 28429720, 24388200, 51589260, 177846892, 69211865, 35635354, 42060204, 29159332, 138673085, 8048060, 32090228, 54507159, 50796118, 397432195, 15344011, 147914446, 82582567, 4139590, 21147669, 191099004, 9752379, 108507156, 32967189, 9919743, 143862951, 19940699, 90589342, 240537181, 61987849, 116796912, 10259202, 49905013, 45341313, 141293504, 29604117, 46963576, 118841025, 215553489, 56346379, 26014536, 13260044, 51243350, 211551143, 2219404, 15689341, 162803235, 71019915, 11163758, 37539156, 185289642, 387779, 5878601, 48164330, 25872681, 9567324, 40681939, 38589562, 36603489, 11128502, 18298946, 134418637, 104706806, 49039324, 20588532, 24883461, 44553678, 4232416, 70797346, 19249411, 172656529, 26621193, 24766906, 14250187, 94396060, 23974405, 143989921, 143590005, 25766746, 73828439, 1357031, 7492623, 119276014, 41413921, 62289908, 5232805, 26063013, 24276669, 114793140, 49422087, 15912158, 330914084, 27030575, 114835017, 7562204, 243510763, 14861593, 18029310, 35164341, 14671956, 26152720, 152283894, 3314149, 55059277, 133450132, 1778507, 14187457, 9219250, 146705618, 7574241, 87973016, 18566907, 87110961, 39389127, 72047047, 83112910, 54663602, 158189237 ], [ 63235793, 97085922, 31764644, 137773642, 90407784, 7829423, 81223123, 230690594, 248123826, 51282922, 89253374, 28429720, 24388200, 11976265, 110703301, 51959001, 35635354, 102060070, 29159332, 116135210, 29984501, 32090228, 36114349, 8639471, 115669916, 115585861, 16674892, 31043805, 4139590, 21147669, 32318278, 9752379, 130629805, 19490018, 88622503, 18914570, 48222143, 130448927, 240537181, 109689335, 122282160, 10259202, 49905013, 45341313, 79886208, 171907556, 191320393, 123954435, 84387194, 56346379, 26014536, 38680821, 164788313, 52772735, 62202479, 28456575, 63710292, 71019915, 14648640, 78989543, 64124675, 48287149, 33395442, 48164330, 2412463, 9567324, 40681939, 53716457, 36603489, 11128502, 168519101, 6038789, 214073558, 12467909, 377179390, 86480374, 105757425, 4232416, 95255415, 19249411, 5989126, 17134764, 121649146, 672597, 32908317, 23136344, 26677816, 65261005, 23845706, 7520039, 1357031, 8313303, 53375586, 7147071, 103334957, 5232805, 26063013, 43184542, 8136141, 107343912, 25234297, 5644033, 27030575, 44385067, 108598905, 60476281, 30097089, 18029310, 11775402, 33265936, 26152720, 79397894, 3314149, 31420260, 71076394, 12788432, 14187457, 9219250, 44447597, 7574241, 47528981, 259336814, 919956, 4241466, 127606350, 73640321, 30367010, 41313697 ], [ 26167352, 90161977, 72586190, 80487212, 136245013, 7829423, 81080095, 40703497, 23217896, 62366988, 89253374, 74243328, 20993071, 13920403, 66951889, 13112516, 20561983, 68090665, 51287163, 31062301, 48046939, 46515386, 24213544, 34088334, 3474163, 20503570, 9823384, 68344734, 4139590, 9811063, 24051151, 70712698, 40148963, 19490018, 6697216, 15893949, 56163086, 94666939, 9985536, 101321538, 161630182, 124550739, 86791587, 22668122, 24169191, 72681927, 46963576, 4061196, 22536941, 13912018, 26014536, 33685883, 51243350, 11660676, 64868143, 13802806, 110609242, 37667742, 11163758, 22211458, 75983765, 387779, 73606420, 11946234, 29568306, 871886, 20186641, 76266828, 26273893, 11128502, 4578942, 48853142, 2585693, 12467909, 57061741, 71090167, 44553678, 107674494, 52221027, 19249411, 213449331, 35924575, 11914058, 152145799, 6877656, 23136344, 4065067, 104530120, 11642142, 30310893, 28854300, 5672550, 27939939, 19222845, 24292920, 5229812, 36693365, 34104171, 34881830, 8258553, 22953946, 22447868, 18758854, 15381447, 39990073, 6599734, 41312565, 67370304, 11261624, 19281027, 11936774, 18245555, 7442529, 37699108, 11811634, 2351120, 20086237, 44353125, 4888439, 22717768, 12610673, 67476139, 6464083, 3053059, 50609419, 62399583, 37911299, 12517399 ], [ 113849200, 97085922, 49801957, 145466079, 25910147, 7829423, 109078387, 191387409, 55711434, 42013342, 2539356, 61828433, 62212109, 71845694, 110703301, 41574475, 35635354, 148363555, 43663793, 29611179, 22660461, 176407070, 46797033, 3483270, 39462877, 6727137, 1271261, 23209864, 4139590, 21147669, 52710880, 48525486, 74470507, 19490018, 1607814, 98801836, 236075232, 109930363, 168868964, 30985400, 10736414, 7320297, 49905013, 1751202, 35133570, 108523830, 74022439, 29722968, 22536941, 56346379, 26014536, 38680821, 164788313, 390683158, 103646297, 28456575, 20917968, 71019915, 239623938, 149653581, 158349795, 25355888, 73606420, 59830151, 25872681, 25989919, 20186641, 136745222, 8109369, 109219529, 86224, 48853142, 14619292, 6740528, 116493312, 116247650, 687837, 4232416, 126744045, 19249411, 98802634, 156045941, 143193481, 116650891, 32908317, 48599444, 143989921, 143590005, 100644150, 73828439, 28854300, 7492623, 53375586, 32667028, 88927396, 5229812, 20276681, 43573138, 16826811, 72888543, 27456900, 79870237, 80223320, 79422532, 18629613, 109877727, 14861593, 43313435, 35164341, 26318332, 31533926, 110545522, 108892514, 16286261, 54283146, 1778507, 33179873, 9219250, 39902837, 39727414, 31641288, 18566907, 6464083, 4241466, 135071377, 1832243, 54663602, 27444927 ], [ 21192448, 27951070, 46606062, 53837362, 136245013, 7829423, 146841243, 1459375, 44095248, 124457356, 22907577, 58519521, 71615469, 207755723, 110703301, 160457762, 35635354, 44778422, 195614539, 27722134, 5550845, 143748533, 54507159, 117605892, 5671835, 47168326, 64438711, 109373273, 4139590, 21147669, 9569806, 70712698, 130629805, 19490018, 9919743, 107832548, 140274632, 139459833, 77870410, 62416555, 5362737, 27672911, 77608895, 124972417, 186722659, 126359690, 16984205, 101468341, 22536941, 99727134, 27794976, 38680821, 105020643, 49539256, 5206059, 28456575, 75770217, 195371164, 2545745, 1822908, 158349795, 17623854, 166247101, 239992653, 69052497, 19210197, 20186641, 4267729, 94420609, 11128502, 27757256, 33597314, 114639029, 12467909, 33384915, 34099829, 142157452, 71500726, 26679701, 19249411, 73122758, 4737400, 15827323, 94282760, 32908317, 96007401, 101819630, 71012109, 36523646, 22719650, 28854300, 7492623, 79571235, 243510909, 15727200, 5229812, 5674697, 43573138, 227462425, 30702354, 207472463, 9032973, 425359, 286240195, 184282917, 54920280, 26186589, 16737181, 35164341, 26318332, 53091209, 152283894, 33090278, 51298207, 66148226, 162911, 79868961, 9219250, 39902837, 22643413, 31641288, 36431657, 4000571, 4241466, 89520376, 111813541, 50150073, 6315096 ], [ 132188052, 90161977, 24442142, 80487212, 94269496, 32711496, 13110491, 10728620, 47429823, 77985592, 28463565, 74243328, 21916412, 42278554, 285126274, 10794703, 3205874, 29466415, 51287163, 128972561, 29356258, 66223794, 40985255, 34088334, 39104077, 6727137, 16674892, 29432266, 4139590, 21147669, 32318278, 23768020, 13192576, 5408596, 7603521, 106210852, 1495963, 21224022, 23580742, 61987849, 5403292, 26317362, 2411081, 124972417, 111112524, 5954689, 46963576, 5528881, 22536941, 21130200, 69544403, 43083782, 39673329, 105223729, 5467318, 11735842, 44309529, 844102, 2428222, 15659086, 64474081, 97305873, 43510009, 54363605, 28099212, 23458859, 20186641, 9662065, 137942192, 11128502, 18298946, 53702503, 33120467, 6740528, 1476990, 33677359, 29697902, 48922811, 16751146, 19249411, 143958308, 7369407, 11914058, 14250187, 65010267, 23136344, 76674226, 71012109, 1278808, 128639937, 1514068, 7492623, 4858739, 19222845, 50139226, 5229812, 29930575, 2380324, 2697084, 81208466, 17843815, 79870237, 45083441, 28666453, 7562204, 71757534, 37574239, 40290955, 35164341, 26318332, 31533926, 11907874, 11621221, 23048235, 17198390, 45667565, 6742091, 9219250, 39902837, 4251554, 98344, 10996978, 4000571, 78707398, 4801673, 131167202, 54663602, 158189237 ], [ 82816544, 97085922, 74998691, 277676006, 136245013, 7829423, 81223123, 1459375, 31816588, 16677736, 37497957, 69354034, 71615469, 204826330, 82691050, 63008251, 35635354, 5114422, 1887718, 12230160, 29984501, 66223794, 54507159, 1526538, 10549069, 285087, 147914446, 123310184, 4139590, 21147669, 17851763, 9752379, 97482933, 19490018, 9919743, 34502485, 277657016, 121805154, 176809798, 14017762, 56845272, 108270510, 43150011, 93667746, 72742609, 57317810, 1085678, 99057646, 5206602, 56346379, 26014536, 87331021, 80211033, 21139736, 58723682, 11735842, 162803235, 71019915, 68601867, 149653581, 134056173, 36211929, 33395442, 18645977, 33007520, 9567324, 114914010, 71913506, 94420609, 11128502, 78451710, 31668833, 104330210, 12467909, 106090432, 28364330, 51891325, 43988455, 169109617, 19249411, 72730439, 156045941, 40525522, 23507974, 202410459, 158250553, 122076125, 100320188, 85291690, 73828439, 28854300, 7492623, 2224546, 19222845, 85318267, 5229812, 5674697, 24784734, 213428215, 11632480, 6496455, 79870237, 64410245, 315305149, 58826136, 29673736, 71317895, 43313435, 57562053, 76712498, 31533926, 61523681, 19566567, 31420260, 158375120, 77874438, 119413371, 9219250, 25620397, 83135938, 47528981, 54314133, 6464083, 18538359, 89520376, 1832243, 13252763, 41313697 ], [ 14107149, 25627318, 91521943, 74511019, 136245013, 32711496, 34444996, 10728620, 31816588, 111941412, 38036421, 74243328, 12907702, 62120632, 24390593, 97040366, 7619152, 102060070, 129622431, 84703998, 29356258, 66223794, 45201766, 27454299, 8151623, 18166776, 17218684, 8874972, 36979083, 9811063, 90105736, 9752379, 108507156, 19490018, 9919743, 51841478, 1140966, 39053629, 23580742, 14017762, 37678536, 13424672, 98787651, 7873925, 204096040, 52850723, 22487531, 74686193, 34932760, 85272038, 26014536, 87331021, 7060369, 28863318, 47110452, 13802806, 139235199, 10817255, 11163758, 9555816, 43117440, 387779, 10055390, 15008321, 758187, 9567324, 110304335, 313465, 16242110, 11128502, 18298946, 94644189, 21408037, 12467909, 155837740, 34099829, 1375471, 48922811, 24397799, 108979105, 5989126, 231759227, 24766906, 14250187, 71579229, 7244825, 49789777, 8155286, 56871002, 3582477, 28854300, 7492623, 27939939, 60048501, 103334957, 5229812, 5674697, 43573138, 79882389, 81208466, 17843815, 18047640, 27030575, 132992065, 8770362, 64015764, 16100879, 40290955, 26093144, 94194490, 2122857, 27454748, 108892514, 14676370, 67308819, 45667565, 48268857, 9219250, 4246504, 74270278, 53923074, 20121423, 6464083, 39724630, 17447283, 102896638, 13486249, 6315096 ], [ 151836802, 19676626, 91521943, 4208636, 103591163, 7829423, 41119681, 10728620, 44095248, 142145560, 59564355, 52340051, 71615469, 51991602, 10297826, 14632020, 11102524, 9309138, 114549874, 47810989, 47042712, 129597017, 54507159, 3483270, 6701998, 40989572, 181447112, 71426055, 16651970, 1185873, 145809542, 45534412, 10956107, 9464102, 9919743, 26992503, 41802657, 130723674, 9985536, 84901936, 188043164, 74514401, 8121061, 81276721, 28641480, 5564078, 1085678, 98615026, 22536941, 61119349, 217274443, 87331021, 12789386, 60988598, 54058766, 11735842, 128533179, 57345974, 11163758, 32940326, 79008972, 44480662, 14724011, 47843127, 69052497, 4770883, 20186641, 3781347, 1713226, 11128502, 47419236, 3453250, 2585693, 6787830, 86380955, 116247650, 48982349, 39444211, 123895631, 10102979, 66122479, 191806409, 24766906, 15187292, 6313052, 17838300, 69831799, 2480796, 36523646, 73828439, 28854300, 7492623, 12374812, 19222845, 262152854, 5229812, 5674697, 43573138, 27056212, 81208466, 42904314, 22447868, 4271292, 132992065, 57592273, 173515275, 82004350, 31178686, 35164341, 26318332, 31533926, 18245555, 1250663, 47405416, 23536374, 77874438, 68540380, 135279616, 24346444, 22717768, 31641288, 9601057, 6464083, 12797032, 54346367, 166270172, 39011870, 105749223 ], [ 159847482, 22529708, 27156500, 137773642, 86317258, 7829423, 34444996, 10728620, 31816588, 73989751, 10278007, 28429720, 24388200, 154045893, 73025875, 63008251, 7619152, 102060070, 1887718, 12075086, 29984501, 66223794, 45201766, 8639471, 79909910, 200747968, 16674892, 9297054, 4139590, 18419991, 17851763, 9752379, 130629805, 19490018, 25861083, 20001122, 48222143, 74080769, 23580742, 65219139, 161630182, 74514401, 101327578, 44225706, 39853586, 181581527, 115922021, 92238215, 84387194, 56346379, 26014536, 7980156, 51243350, 128500669, 98129014, 29246001, 63710292, 16145898, 11163758, 108112636, 64124675, 24257089, 33395442, 15008321, 758187, 6446627, 40681939, 53716457, 36603489, 11128502, 168519101, 104722467, 2585693, 12467909, 136530774, 9022882, 100297601, 4232416, 7112465, 19249411, 5989126, 6306853, 40525522, 150975756, 5486232, 23974405, 27604675, 12265737, 92783822, 53672825, 1357031, 22156421, 1353097, 7147071, 103334957, 5232805, 18139232, 20716534, 108319254, 67309148, 6496455, 79870237, 27030575, 31086683, 63287673, 67723193, 2331077, 43313435, 18682798, 140665322, 26595740, 18245555, 5629287, 24724983, 10681347, 26406378, 14187457, 9219250, 44447597, 20039741, 47528981, 67476139, 6464083, 12797032, 3881236, 22005357, 30367010, 16429644 ], [ 113849200, 13262061, 91521943, 117570808, 100401513, 7829423, 26933142, 10728620, 11338106, 124280767, 42522121, 343617, 41547021, 63190662, 59137416, 12983464, 13780433, 1320109, 5312691, 28941804, 29984501, 95559406, 54507159, 61630607, 79825165, 30645138, 48327446, 46274253, 39641888, 21147669, 130249525, 80293934, 92420806, 109649813, 9919743, 560376, 66556052, 28571661, 23580742, 8352151, 25435369, 9788520, 98787651, 22668122, 216492303, 126359690, 46963576, 102902293, 22536941, 32080094, 26014536, 18889831, 51243350, 28863318, 52667417, 34775875, 75648262, 104382147, 11163758, 218819939, 13736690, 46481541, 33395442, 15008321, 69052497, 871886, 20186641, 4267729, 8109369, 11128502, 65080746, 76560381, 37950454, 62643466, 137897006, 26211148, 60829105, 183581583, 24397799, 108979105, 42337865, 71414976, 24766906, 105309975, 12184028, 155174923, 42278587, 104721923, 66551792, 30310893, 35371620, 7492623, 30136489, 19222845, 31335309, 125254501, 20276681, 35707345, 49118870, 63975941, 52101764, 41466819, 42410573, 105903689, 127239068, 27528998, 3435798, 43313435, 26093144, 5177954, 27975541, 85694, 53697892, 25577671, 144199753, 77874438, 23386380, 9219250, 57381738, 90507478, 31641288, 44273980, 2220533, 68612437, 12114064, 90661816, 13486249, 6315096 ], [ 133471564, 56249051, 33216410, 70998739, 136245013, 7829423, 81223123, 160607, 111709964, 53988238, 24963752, 74243328, 71615469, 75666424, 65007975, 79953024, 14554885, 148363555, 51287163, 56392526, 16705778, 46042705, 17237959, 34088334, 1830157, 23604150, 13003503, 8874972, 4139590, 21147669, 173720795, 4547389, 88527179, 18212595, 9919743, 3158178, 3361707, 78204615, 16145391, 74056815, 11142073, 6511714, 83478333, 21338512, 55324866, 181581527, 51868846, 33572650, 102949115, 26018692, 26014536, 38680821, 161036725, 81373118, 47110452, 28456575, 62931609, 6045037, 557554, 60733978, 68185028, 24564233, 33395442, 7969807, 3254430, 139316632, 47996059, 20876282, 36603489, 11128502, 22704879, 74015486, 41611089, 12467909, 105578293, 116247650, 164224496, 4232416, 52479638, 19249411, 76332171, 146532559, 66098285, 206982890, 32908317, 23136344, 52523628, 9153934, 20108925, 62939253, 28854300, 7492623, 112610509, 19222845, 111045989, 5232805, 35212484, 43573138, 56654428, 32328827, 48511171, 31481391, 64410245, 239834491, 125381541, 117849243, 368303171, 30623069, 94677706, 5175904, 8231717, 73210852, 54932321, 22806373, 56142215, 77874438, 14187457, 2726960, 158595464, 4568447, 210382324, 277962867, 6464083, 4241466, 208043842, 129729684, 54663602, 88366879 ], [ 63235793, 97085922, 91521943, 70998739, 121051791, 7829423, 182108133, 154124659, 380454980, 77985592, 151853792, 74243328, 36188612, 59370111, 49382248, 6977367, 32136359, 29437317, 51287163, 56392526, 26012083, 298996179, 21156199, 34088334, 151694873, 43176167, 10138301, 75995835, 4139590, 21147669, 182484876, 247786119, 40279073, 227915236, 117974530, 107832548, 23730118, 16217117, 143721966, 67535092, 161630182, 31823268, 49905013, 124972417, 106205083, 181581527, 564722832, 145062040, 51270247, 61176481, 26014536, 38680821, 179053875, 115949654, 98129014, 10654555, 3093796, 64185138, 14648640, 16330527, 409288032, 24564233, 38504136, 48164330, 25872681, 83767180, 21391944, 282460746, 36603489, 11128502, 22704879, 41029784, 43998752, 60270550, 20588532, 64315384, 116396333, 4232416, 29617518, 19249411, 162291132, 156045941, 532857399, 171092487, 32908317, 23136344, 6180455, 125779475, 35901352, 11347502, 387145649, 114032897, 62678472, 19222845, 15272083, 5229812, 44055985, 43184542, 230720224, 14989155, 70544793, 197091196, 52699487, 207540529, 165357810, 36643396, 100143768, 99769441, 35164341, 94194490, 8231717, 76713074, 62702179, 50913324, 237138940, 2273975, 14187457, 2726960, 39902837, 83135938, 50958776, 76350134, 12146519, 4241466, 208043842, 129729684, 54663602, 70664553 ], [ 36165227, 6734155, 15970679, 62013057, 136245013, 220844189, 182108133, 315969607, 45897447, 232011251, 151853792, 74243328, 71615469, 307610120, 128025276, 342000810, 73125700, 161802687, 51287163, 10529053, 274219147, 46042705, 54507159, 34088334, 510733290, 309413518, 212737312, 325756812, 57403664, 68414272, 182484876, 147928944, 115814160, 584803331, 9919743, 107832548, 32585367, 65573225, 3270936, 194479144, 139549359, 39668587, 98787651, 124972417, 251836186, 308950, 771576415, 145062040, 287907317, 224854834, 226136108, 452054313, 246096465, 364510733, 98129014, 526434253, 48212736, 359018616, 14648640, 246867841, 39550190, 163526627, 96901591, 48164330, 5790851, 327333974, 252683344, 38231436, 97144396, 11128502, 415249929, 73600784, 42833846, 28358421, 432979246, 612113007, 374962748, 107898158, 95255415, 220942899, 45970676, 83560842, 325579679, 310036683, 321404381, 23136344, 198300148, 143590005, 52984891, 148005474, 72583619, 7492623, 62093173, 90911734, 264493512, 5229812, 397986618, 43573138, 320285578, 32328827, 148151744, 141266334, 64410245, 772395042, 265958825, 117848962, 19570961, 63204343, 35164341, 94194490, 8231717, 152283894, 108892514, 94820834, 444857739, 77874438, 14187457, 36561778, 39902837, 94962878, 271186117, 108217939, 344721985, 78707398, 178107413, 141993807, 144813731, 130014377 ], [ 163099102, 39478371, 91521943, 61062313, 81814231, 7829423, 66846431, 44829003, 47429823, 13939513, 24054309, 55136879, 28891603, 64941926, 41577570, 192486098, 35635354, 117326816, 43155319, 138673085, 9367199, 59921130, 54507159, 34088334, 31517016, 47168326, 202725313, 42706824, 4139590, 21147669, 27151049, 120073101, 30022577, 144352981, 9919743, 9019412, 140274632, 90589342, 25164682, 26723723, 1897816, 19994467, 49905013, 124972417, 24402478, 160633157, 16984205, 56798831, 54723120, 26018692, 26014536, 46688464, 56943557, 28922729, 74241463, 99918486, 179471924, 1621307, 62574497, 34379776, 237626254, 39485907, 33395442, 135659761, 1857709, 83957561, 84773253, 20876282, 97144396, 576126, 54649914, 104722467, 73522015, 60270550, 191626901, 69495999, 55950860, 153280792, 128014983, 17230228, 38633454, 70360465, 24766906, 15235912, 61477788, 23136344, 49961804, 108111464, 42527030, 5080235, 23050872, 7492623, 85474481, 19222845, 60854711, 103929891, 35212484, 43573138, 56215456, 3962925, 31861027, 72228978, 26338059, 50019746, 29603894, 60476281, 110892475, 113113488, 35164341, 5797468, 49678368, 79449101, 1250663, 248431423, 140774319, 313162, 123359600, 313517730, 79788761, 51565532, 200323186, 44273980, 85358323, 16088992, 12114064, 5909855, 19246140, 130014377 ], [ 224415304, 97085922, 91521943, 14325490, 617154243, 7829423, 81223123, 281574122, 243882076, 232011251, 23414985, 31977768, 71615469, 13920403, 239835454, 71614902, 138079417, 148363555, 14248063, 25067792, 29984501, 116153520, 316159521, 16439853, 31170607, 455495, 253891658, 200979341, 57403664, 21147669, 179601385, 5892132, 80298783, 19490018, 9919743, 18914570, 149961701, 261750622, 202076818, 109689335, 158735679, 6979524, 98787651, 171447173, 85409986, 8738751, 96064311, 176795154, 186624187, 41146148, 26014536, 87331021, 164788313, 81373118, 170938890, 54599044, 62931609, 6045037, 37915917, 168902627, 339357640, 140295884, 30387998, 7969807, 148036824, 112423991, 28434645, 146382436, 23333317, 116942497, 27213168, 166194665, 104330210, 12467909, 177618837, 18578097, 374962748, 148660569, 52479638, 11409806, 264585662, 237858836, 205135835, 176534823, 132605470, 47187107, 60957251, 117505316, 225963590, 11675516, 28854300, 7492623, 184208557, 7297955, 173393870, 5232805, 242640728, 58993564, 120942694, 492024142, 111484488, 177185956, 156167047, 15381447, 165357810, 221654696, 160122026, 43313435, 35164341, 170075653, 10957615, 11910858, 108892514, 259420844, 126234196, 37966319, 84096321, 9219250, 79949577, 30010587, 282817243, 277962867, 4699304, 22153239, 97090525, 298087002, 70814792, 130014377 ], [ 7030762, 97085922, 21936949, 70998739, 136245013, 19122126, 387477524, 49257825, 198506469, 53988238, 58020870, 55202180, 139542348, 278654450, 23331017, 185523082, 519436539, 78537317, 30352729, 72615851, 16563273, 33240531, 13717670, 10965279, 1830157, 24822026, 11424391, 8874972, 4139590, 21147669, 32318278, 247786119, 130629805, 164675631, 38302511, 180270267, 80369532, 63631160, 47041081, 101321538, 158735679, 19494935, 124425922, 84396464, 140478244, 8738751, 28285160, 5528881, 102949115, 88518129, 438077164, 132918258, 51243350, 188350636, 47110452, 10654555, 177760154, 6045037, 11163758, 108112636, 18475382, 90264066, 85219580, 7969807, 25872681, 180195102, 131606927, 292024064, 36603489, 11128502, 113210905, 104722467, 103246537, 8400103, 151930779, 53239591, 102379820, 4232416, 52479638, 19249411, 104254602, 176068714, 36793278, 57863638, 72416156, 23136344, 120078577, 10724484, 3572918, 128639937, 216312730, 259866439, 250167780, 19222845, 19873595, 113269742, 113461032, 43573138, 120942694, 32328827, 24852577, 31481391, 64410245, 28666453, 165357810, 117849243, 318361242, 318304788, 72812314, 78500556, 8231717, 60309211, 73257697, 259420844, 163229229, 37966319, 14187457, 2726960, 64666072, 83135938, 105648214, 67476139, 156462151, 31760134, 59346837, 30465361, 54663602, 29744722 ], [ 297616339, 97085922, 91521943, 367284122, 136245013, 7829423, 157367015, 10728620, 47429823, 70075064, 408162222, 58141178, 71615469, 190290853, 171388238, 63008251, 206066800, 148363555, 51287163, 50333601, 26012083, 32090228, 52292132, 548401, 101437440, 47168326, 17558543, 19528142, 36979083, 9811063, 17851763, 48525486, 130629805, 405950495, 9919743, 107832548, 140274632, 55837967, 23580742, 36700884, 154258459, 74514401, 62927217, 21338512, 239972320, 8738751, 46963576, 193746577, 79187697, 56346379, 26014536, 87331021, 160574062, 165173119, 74241463, 13802806, 24442330, 6045037, 37915917, 279690392, 582861000, 24564233, 105140044, 7969807, 70395739, 23458859, 110304335, 20876282, 64622317, 116942497, 65080746, 81436132, 26179740, 67507534, 177618837, 77334314, 142157452, 185524520, 52479638, 64804402, 118127614, 153229423, 24766906, 151467755, 371790041, 48284135, 43319394, 84534261, 252921579, 29302169, 119485024, 7492623, 77572742, 19222845, 107740441, 5229812, 26063013, 43573138, 120942694, 53857197, 30869059, 6227883, 324557455, 132992065, 19451382, 47516633, 30097089, 18029310, 20953012, 94194490, 26152720, 14097061, 3314149, 194919342, 303024978, 12788432, 142519476, 9219250, 24346444, 94962878, 47528981, 67476139, 85358323, 39389127, 162304849, 83112910, 60467315, 130014377 ], [ 42120997, 97085922, 58499433, 97238105, 3857650, 7829423, 101609802, 130453420, 62797930, 144655493, 19755053, 74243328, 41594950, 71294541, 50053741, 239229348, 166481215, 109218945, 51287163, 122040695, 69861726, 32090228, 54507159, 34088334, 104239315, 8027621, 123905838, 158846574, 36979083, 2375677, 173720795, 2201503, 43437690, 30579412, 9919743, 31685849, 16958417, 57957112, 9985536, 109689335, 85422202, 77154677, 15049551, 124972417, 39853586, 159578653, 96064311, 118841025, 190265597, 56346379, 26014536, 86665551, 90500402, 207452394, 17366602, 13802806, 45905306, 6045037, 8337134, 16908544, 75052912, 51921857, 90223625, 7969807, 59929893, 4770883, 30982871, 11729070, 97144396, 8937545, 47738403, 102147774, 2585693, 23605154, 56811805, 24883461, 62814907, 191823628, 36187991, 99208211, 76332171, 33612121, 7825257, 29012055, 93882526, 23136344, 192082432, 84534261, 75863368, 73828439, 189042893, 7492623, 26998583, 19222845, 60854711, 5229812, 49803073, 26937902, 8136141, 26752521, 99357158, 22447868, 64410245, 44385067, 165357810, 173053995, 102658799, 18029310, 20953012, 63829230, 26152720, 18245555, 3314149, 3457816, 67189565, 56581478, 123359600, 9219250, 24346444, 94962878, 43942944, 67476139, 27484050, 39389127, 82142274, 9398527, 78457530, 72797466 ], [ 30246915, 38167608, 138859352, 45625660, 136245013, 7829423, 51851984, 48927969, 25044537, 56281284, 19436251, 72492557, 84520594, 42278554, 36592941, 319647585, 68076701, 2653519, 51287163, 28941804, 26012083, 83751306, 16621108, 34088334, 68728808, 44825325, 70439458, 75995835, 4139590, 204697674, 71489327, 184953120, 13192576, 1422517, 7603521, 52512232, 180408215, 3966872, 58347541, 64448995, 38361658, 124550739, 129325885, 21338512, 197327758, 12349849, 191320393, 52150396, 157746223, 85786520, 71089014, 20481205, 85872976, 173352546, 17366602, 79035092, 179471924, 46697041, 68601867, 14786749, 78548461, 24564233, 33395442, 74981722, 77097147, 152204219, 107754139, 43317630, 97144396, 11128502, 22704879, 104722467, 43998752, 60270550, 61216899, 1915745, 374962748, 74305015, 86817802, 19249411, 276712161, 121529825, 40525522, 318736408, 128009434, 23136344, 39753943, 63306276, 25634552, 73828439, 119485024, 127429884, 167760294, 94201388, 97838497, 5229812, 26290681, 6371671, 90592787, 53857197, 219565099, 67636068, 55350934, 64066844, 3452385, 246766272, 86169072, 93866529, 275261555, 30716597, 31533926, 186225306, 45902691, 31433210, 54283146, 54020692, 55381893, 85766347, 39902837, 34438843, 7440492, 175751388, 87110961, 151942438, 124491763, 129729684, 54663602, 123716021 ], [ 216364537, 97085922, 80172431, 28416508, 136245013, 7829423, 81223123, 130453420, 191901603, 298801702, 113396741, 12897912, 4691642, 24910292, 86967529, 200324416, 14554885, 148363555, 322520739, 138673085, 19684146, 391449519, 54507159, 88366983, 93047836, 242113878, 311684793, 253643757, 4139590, 9811063, 284826954, 180650889, 130629805, 564251961, 9919743, 100200947, 145876117, 37857414, 82956858, 511101308, 148805639, 127431486, 47817339, 300003032, 365467887, 23599389, 191320393, 375422674, 129183903, 197405141, 26014536, 38680821, 6452645, 81020660, 331449371, 13802806, 179471924, 30531816, 557554, 175877982, 47680114, 163526627, 33395442, 83267370, 303313635, 137077539, 131606927, 250240269, 11263243, 3774376, 370900636, 220884734, 26179740, 60270550, 171939985, 93405072, 232124398, 425359062, 151863899, 19249411, 283824684, 190955257, 12952238, 133862971, 32908317, 283672979, 134580896, 129853312, 51205941, 289495634, 334230655, 194630, 11638314, 108569573, 129602095, 137789445, 16990973, 43573138, 167337870, 22205311, 276115344, 22447868, 11606056, 132992065, 153067160, 117849243, 522038127, 131216689, 158473808, 20577692, 8231717, 152283894, 108892514, 410883613, 218974928, 77874438, 69217865, 36561778, 24346444, 83135938, 364545127, 95242775, 142662399, 4241466, 62547840, 110288670, 54663602, 122000319 ], [ 14107149, 97085922, 23443125, 108963641, 60614589, 103244094, 81207248, 10728620, 47429823, 233490935, 23414985, 66642588, 128929349, 42278554, 36592941, 239229348, 15419158, 148363555, 51287163, 25067792, 243260612, 11649343, 54507159, 233575, 15072477, 455495, 70439458, 82582567, 101641178, 21147669, 71489327, 129011643, 13192576, 120120523, 205343450, 191378822, 110448611, 6965327, 23580742, 64448995, 46455744, 74514401, 61520865, 12261654, 242214637, 26757336, 46963576, 52133253, 7616860, 281233038, 26014536, 10030682, 10411787, 63270843, 74241463, 122424808, 116601559, 134823790, 193502642, 14786749, 278558667, 49707186, 166247101, 80842483, 1958271, 190255644, 21701992, 43317630, 23333317, 11128502, 27213168, 33597314, 110406079, 108333800, 211690891, 106202940, 142157452, 69715463, 19353368, 26225179, 212200573, 153155053, 24766906, 45077948, 177777629, 23136344, 21296331, 8528849, 25634552, 232544958, 90594670, 36126072, 77572742, 147799021, 131320178, 286195701, 22338764, 43573138, 196635492, 86270520, 248177336, 67636068, 21402468, 254004468, 164249679, 117849243, 293013627, 124192456, 106621987, 279140654, 8231717, 240288566, 45902691, 66465211, 66148226, 46667781, 42162413, 36561778, 162226585, 34438843, 32182005, 79131697, 169358437, 143928209, 165920635, 35560267, 39011870, 20795764 ], [ 12732776, 13262061, 91521943, 53684186, 70390093, 19122126, 52385941, 618812, 31816588, 146809552, 121915747, 24488844, 84520594, 66481109, 170768460, 221151941, 14554885, 148363555, 67004930, 128972561, 19684146, 12324731, 49929162, 34088334, 15072477, 43176167, 16674892, 33230295, 94966122, 21147669, 22232920, 48525486, 130629805, 19490018, 402081950, 41163899, 44877294, 125350875, 23580742, 132617706, 85422202, 74514401, 67534137, 124972417, 39598691, 28257547, 17429274, 5528881, 122927825, 33952486, 26014536, 87331021, 211481240, 8425072, 5206059, 221675253, 79889494, 6045037, 557554, 108112636, 90893958, 14572170, 33395442, 7969807, 180005608, 151749417, 2235822, 3498867, 94420609, 11128502, 60100437, 54733434, 14422191, 12467909, 137897006, 76478636, 86690607, 36564773, 52479638, 26225179, 223775897, 81657760, 24766906, 77888265, 244232985, 23136344, 120294232, 8528849, 18932453, 8024891, 28854300, 72498884, 72104238, 152705502, 6546927, 177986462, 34286339, 43573138, 24378052, 86270520, 144545986, 197091196, 21402468, 33373381, 63925694, 51882231, 62367257, 93866529, 35164341, 30716597, 8231717, 267145224, 80817382, 66465211, 74834632, 162911, 14187457, 2726960, 82584581, 22717768, 271186117, 47843680, 6464083, 78707398, 105214847, 79929934, 64737594, 88366879 ], [ 178071461, 23465506, 16626766, 140592197, 88243476, 19122126, 15132886, 79341535, 47429823, 154822529, 33741451, 31066633, 10940440, 85242618, 190491469, 112560591, 29633067, 58008113, 29159332, 31416651, 37018657, 177902097, 54507159, 179069102, 14533353, 47168326, 13003503, 46274253, 85673659, 21147669, 32318278, 14104276, 8378264, 120120523, 57270658, 34571402, 140274632, 96212722, 161585316, 57210610, 69400331, 10259202, 124425922, 107806842, 38492298, 17692904, 46963576, 204926856, 2231231, 37641420, 26014536, 8049892, 161036725, 37635859, 39497892, 10654555, 31917060, 6045037, 37915917, 99788052, 61606123, 22841696, 10055390, 7969807, 96173497, 27777802, 110304335, 20876282, 202047605, 11128502, 75908239, 134418637, 2585693, 114572096, 67894665, 105700013, 84094160, 38219608, 10845223, 81948119, 12635580, 256601632, 24766906, 213055896, 48384921, 56943219, 143230333, 43126127, 79455945, 37437763, 114745299, 2809443, 97990125, 19222845, 21583160, 5229812, 1851798, 37954664, 28258876, 91173177, 29630349, 11886890, 42410573, 65451011, 100601120, 2904225, 102658799, 58570577, 35164341, 63829230, 8231717, 18245555, 15506915, 40910549, 303024978, 77874438, 74477566, 4263372, 39902837, 7574241, 43942944, 174473196, 30348364, 43439840, 145078988, 40336537, 73978564, 31537116 ], [ 108766909, 36539407, 91521943, 49501456, 136245013, 83086094, 60053269, 281574122, 24618601, 537206508, 111297908, 12897912, 4691642, 113308800, 172336843, 181437733, 546130458, 214824516, 51287163, 281913680, 48757041, 494272382, 54507159, 36846438, 93047836, 163246600, 311684793, 202500137, 998259, 21147669, 36342808, 202654045, 47875598, 65774593, 9919743, 243969599, 78427061, 321774995, 82956858, 107107130, 161630182, 305361675, 98787651, 72456878, 148038832, 181581527, 60722984, 191158502, 119249522, 292181355, 57009711, 72247099, 111096073, 45244718, 98129014, 36514051, 22877542, 49122919, 14648640, 279690392, 416883383, 163526627, 166247101, 16204944, 189214701, 138530312, 131606927, 148441075, 483577554, 11128502, 151575764, 104722467, 231298792, 92646941, 349251280, 157144242, 60974175, 290764664, 95255415, 152646226, 208530050, 10158467, 296710329, 69632378, 70291863, 23974405, 134580896, 38692286, 51205941, 377403373, 89650984, 7492623, 26591430, 19222845, 264493512, 206468249, 17334513, 43573138, 61738332, 22205311, 339942906, 75417389, 64410245, 192354901, 19451382, 36643396, 36849268, 291330493, 35164341, 169704050, 27387646, 36924670, 108892514, 42779730, 218974928, 40457437, 14187457, 40852146, 162226585, 94962878, 271186117, 324272898, 317973818, 22954088, 62547840, 437726802, 28762209, 122000319 ], [ 77083350, 92011327, 72257916, 84825123, 136245013, 7829423, 328754486, 253210996, 56920750, 90094578, 90727565, 58519521, 36188612, 72957521, 78773893, 81504551, 246159345, 4961308, 51287163, 12607340, 26012083, 29508128, 49474096, 8805496, 45303754, 72239546, 10138301, 252460297, 85673659, 21147669, 5097332, 108535708, 130629805, 106608951, 9919743, 100200947, 78427061, 42117176, 143721966, 107107130, 161630182, 19494935, 32764349, 84396464, 239972320, 176234134, 151571752, 6460666, 110434910, 41146148, 26014536, 87331021, 55729082, 37635859, 50451307, 10654555, 55492492, 49122919, 14648640, 170636255, 44338476, 24564233, 72714146, 48164330, 61780481, 152204219, 6398732, 3446680, 27053691, 11128502, 93913472, 104722467, 224436311, 42609276, 95851980, 18578097, 326696882, 22464142, 82872224, 116802904, 63506446, 46523739, 36793278, 99400171, 201318553, 23974405, 35069163, 129853312, 6355826, 31631278, 292517369, 7492623, 135864728, 19222845, 20334439, 141875621, 180196922, 20716534, 142766778, 92207358, 180219892, 61329300, 53813817, 92620743, 165357810, 36643396, 52117269, 54216714, 35164341, 95888331, 8231717, 11910858, 24563170, 181627399, 279353583, 53110477, 14187457, 36561778, 162226585, 94962878, 103526719, 67476139, 35652117, 78707398, 333147, 129729684, 13263547, 70664553 ], [ 24568957, 56249051, 40672129, 52262630, 33277103, 29709941, 81223123, 10728620, 11338106, 212447531, 42522121, 31754937, 34125339, 42278554, 57273016, 63008251, 40855158, 148363555, 5312691, 12230160, 26012083, 36929887, 27542228, 34088334, 14533353, 47168326, 70439458, 46274253, 15008200, 9811063, 90105736, 25727964, 13192576, 138524294, 7603521, 22598478, 140274632, 83051630, 12969820, 37153598, 108687630, 74514401, 25473352, 33410745, 39853586, 131912968, 8899107, 5528881, 103442896, 25290259, 26014536, 10030682, 161036725, 67955405, 64189755, 13802806, 69399563, 6044690, 14648640, 17090967, 22719135, 24564233, 33395442, 6921616, 28367226, 23458859, 56732055, 14174083, 16242110, 11128502, 60100437, 128499382, 2585693, 11856924, 11565159, 68616964, 142157452, 62078491, 95255415, 26225179, 25257053, 167155196, 12545425, 45077948, 12184028, 23136344, 52523628, 99141108, 48669013, 73828439, 41389283, 7492623, 8702321, 19222845, 20286424, 5229812, 5674697, 6371671, 97770868, 14989155, 123075091, 6227883, 52718830, 33373381, 5910747, 42055225, 39306339, 63845085, 45380486, 68911876, 8231717, 18245555, 80817382, 66465211, 203764267, 71561743, 14187457, 36561778, 24346444, 34438843, 47528981, 124045187, 66237902, 4241466, 6939839, 129729684, 39011870, 8385885 ], [ 135881376, 13262061, 9024081, 4412698, 136245013, 19122126, 81223123, 527077, 14570112, 41904316, 119367130, 54222242, 71615469, 65401774, 57273016, 63008251, 14554885, 10053466, 29159332, 12230160, 19684146, 32090228, 40985255, 183045400, 8151623, 91281102, 7304708, 31043805, 57403664, 21147669, 23266227, 38606700, 6195173, 18212595, 9919743, 99146047, 27252679, 21224022, 149568152, 19421974, 125121146, 10259202, 731027, 93323456, 7150152, 109407790, 90365535, 212338930, 84387194, 12824049, 26014536, 72386568, 12789386, 67955405, 58723682, 86751626, 69399563, 6045037, 557554, 43571974, 35918504, 4291144, 33395442, 7969807, 4568015, 83767180, 124918435, 111880877, 40194446, 11128502, 70087315, 104722467, 104330210, 1839938, 105578293, 146629205, 162094443, 48831485, 19353368, 208121550, 10635877, 341375847, 44668333, 45077948, 262392091, 152535386, 32068275, 100320188, 6061460, 11347502, 28854300, 7492623, 53375586, 19222845, 59640216, 5229812, 44055985, 35536884, 67720895, 9350717, 213665491, 85021603, 48659214, 154933537, 19937624, 58838564, 77177965, 18029310, 96387823, 36831880, 26152720, 100815783, 3314149, 194734734, 56142215, 50231375, 21334239, 43063736, 37044677, 7574241, 21759941, 277962867, 6464083, 18538359, 208043842, 76808413, 8438163, 37390572 ], [ 84253264, 31206719, 107601258, 188306336, 119583545, 7829423, 81223123, 618812, 44483330, 232011251, 92414877, 28429720, 24388200, 154045893, 133975984, 63008251, 206066800, 102060070, 29159332, 131129715, 1549220, 32090228, 49474096, 43697575, 94552778, 170027799, 17558543, 31043805, 36979083, 9811063, 216228118, 48525486, 6195173, 213396705, 72058221, 151089342, 48222143, 57957112, 240537181, 36700884, 51409737, 10259202, 34362516, 122226653, 148038832, 181581527, 71303355, 167973875, 60233218, 56346379, 26014536, 87331021, 111096073, 115949654, 98129014, 13802806, 79889494, 6045037, 14648640, 211032644, 64124675, 163526627, 33395442, 7969807, 25872681, 24668558, 40681939, 20876282, 25329720, 11128502, 168519101, 104722467, 26179740, 67507534, 194107330, 116247650, 44319581, 4232416, 52479638, 498908562, 5989126, 341375847, 33674969, 99400171, 94396060, 23974405, 35069163, 38692286, 18932453, 11347502, 1357031, 72498884, 53375586, 19222845, 59640216, 5232805, 64743094, 43573138, 120942694, 211872022, 2278521, 22447868, 64410245, 132992065, 165357810, 67723193, 12047128, 18029310, 20953012, 93124208, 26152720, 240288566, 3314149, 259420844, 237138940, 59353969, 14187457, 9219250, 24346444, 7574241, 47528981, 11787674, 85358323, 39389127, 62547840, 95588817, 28762209, 37390572 ], [ 115515769, 6763011, 113505080, 85956705, 125013236, 7829423, 182108133, 306660385, 47429823, 41904316, 151853792, 55136879, 71615469, 230616544, 60931390, 398565495, 98507634, 163444668, 260766261, 238404249, 33094361, 46042705, 54507159, 34088334, 510733290, 47168326, 202725313, 325756812, 83963336, 116829326, 182484876, 217173969, 139622485, 18522978, 9919743, 107832548, 140274632, 90589342, 240537181, 148243115, 457716037, 39668587, 49905013, 14539178, 141293504, 105510011, 46963576, 53141998, 331134396, 224854834, 447635257, 87331021, 95412116, 168794042, 74241463, 526434253, 164194829, 71019915, 14648640, 85967173, 332950322, 35379752, 230664241, 48164330, 176979771, 88064965, 438754546, 303300540, 236098211, 11128502, 415249929, 315606938, 438590692, 11856924, 5394894, 116247650, 142157452, 137279034, 95255415, 108979105, 70737589, 156045941, 24766906, 679563478, 286918682, 23136344, 31450107, 143590005, 52984891, 73828439, 297054421, 7492623, 78426205, 217362746, 182533447, 5229812, 498197532, 30974630, 3141373, 32328827, 397876154, 301227204, 64410245, 5129663, 49987651, 62599564, 118051740, 209883995, 35164341, 92632129, 364340403, 13577171, 108892514, 75091584, 66486379, 76997010, 14187457, 52577251, 39902837, 94962878, 262760258, 189436706, 83083037, 78707398, 69848780, 261414436, 10803804, 158189237 ], [ 5468845, 86094355, 21464014, 311917730, 25910147, 106153716, 417438507, 130453420, 47429823, 71013518, 24963752, 55136879, 46568962, 4774759, 60931390, 90122858, 98507634, 148363555, 322520739, 39819910, 273952416, 118009155, 17237959, 34088334, 79409986, 47168326, 7304708, 58531464, 36979083, 9811063, 182484876, 14104276, 123566261, 18522978, 9919743, 121188832, 140274632, 90589342, 139848277, 310316920, 51016201, 87105046, 49905013, 14539178, 141293504, 181581527, 46963576, 145062040, 92960634, 412914782, 26014536, 94130647, 95412116, 109565665, 17366602, 13802806, 164194829, 8221730, 14648640, 16330527, 189633625, 142128627, 166247101, 48164330, 104789369, 88064965, 107754139, 77917987, 163030879, 12659001, 22704879, 73698525, 14400624, 122116677, 117191770, 199199938, 263054, 87277172, 95255415, 29251459, 45404420, 156045941, 24766906, 181132138, 36103838, 23136344, 143989921, 96442218, 99173926, 357936315, 191723114, 7492623, 87784347, 19222845, 97838497, 134790000, 7446514, 43573138, 110766261, 263480254, 531771600, 22447868, 164107112, 113683835, 18629613, 108006668, 295105848, 209883995, 241201016, 92632129, 8231717, 70875298, 62702179, 75091584, 66486379, 77874438, 14187457, 4263372, 24346444, 94962878, 10094996, 67476139, 87869340, 73989876, 151005702, 379845710, 362045556, 256756509 ], [ 63235793, 75324996, 91521943, 311917730, 25910147, 7829423, 569320883, 20816915, 36884383, 53988238, 42522121, 175091738, 71615469, 229199404, 238451116, 477406369, 575021169, 10648837, 5312691, 126352290, 29321961, 228018192, 54507159, 34088334, 1830157, 165697222, 41356795, 8874972, 5083551, 21147669, 182484876, 26376007, 68969608, 335708715, 9919743, 100200947, 150580949, 450857538, 163467739, 306426867, 188043164, 29663867, 34362516, 135106008, 57368460, 181581527, 48262302, 142169227, 29626043, 212809955, 317414691, 232268643, 226405235, 243158407, 47110452, 154448074, 177720195, 150389399, 14648640, 169623063, 386062655, 48287149, 12489754, 48164330, 25872681, 59218289, 131606927, 403912, 36603489, 119375078, 177832960, 41608765, 52201368, 184275613, 92007162, 111561929, 22011067, 4232416, 95255415, 220942899, 373099250, 170624355, 13437091, 58295499, 12184028, 23136344, 191821319, 63149308, 218531341, 229681699, 446275943, 7492623, 363713639, 19222845, 79091183, 65146730, 64743094, 22809185, 110766261, 170678808, 673287121, 31481391, 164107112, 124119374, 18629613, 17235134, 113003558, 283126682, 7352501, 29698350, 342052023, 152283894, 108892514, 48081087, 104129931, 77874438, 14187457, 271904454, 162226585, 94962878, 172384197, 195219692, 17832662, 273976037, 27058263, 308472866, 609062565, 47159831 ], [ 155654907, 97085922, 91521943, 311917730, 136245013, 7829423, 321658324, 47557698, 119218474, 33159995, 413333455, 74243328, 8799657, 43618328, 290874010, 261637768, 147358708, 148363555, 322520739, 56392526, 26012083, 97810167, 54507159, 34088334, 186710977, 33816062, 195349546, 75995835, 134215729, 21147669, 92025866, 1026342635, 130629805, 21308164, 9919743, 3158178, 89979232, 284327155, 16145391, 194479144, 20483432, 130461724, 34362516, 124972417, 39039705, 146798582, 902553273, 114503430, 60233218, 155066494, 26014536, 87331021, 246096465, 418310097, 98129014, 18228851, 179471924, 7865970, 14648640, 81287257, 314088581, 24564233, 166247101, 485589, 155140910, 152204219, 131606927, 130643676, 535701918, 11128502, 22704879, 74015486, 43998752, 155978771, 133064798, 116247650, 210188509, 42323640, 95255415, 220942899, 276712161, 300203968, 117127253, 408595771, 194114010, 23136344, 391684405, 9153934, 14958809, 73828439, 107567528, 7492623, 198990622, 293230573, 264493512, 550368670, 64743094, 43573138, 134328247, 269162525, 87998836, 197091196, 17693913, 4571579, 44397783, 117849243, 356569305, 126641426, 239252819, 594161894, 8231717, 5101358, 108892514, 22806373, 178695774, 77874438, 14187457, 36561778, 79949577, 94962878, 271186117, 277962867, 39575483, 23839818, 259815670, 1832243, 270807698, 158189237 ], [ 220680323, 5809941, 9024081, 64830959, 1765251, 19122126, 157367015, 57378568, 314554543, 60470620, 113396741, 17470031, 84520594, 304926114, 745238, 112560591, 14554885, 148363555, 322520739, 8166328, 19684146, 134879486, 44698635, 30265834, 253456552, 72239546, 309488730, 202500137, 4139590, 9811063, 182484876, 247786119, 8378264, 90961544, 315806872, 100200947, 37182016, 101219954, 9985536, 153814946, 122487445, 31823268, 124425922, 93323456, 239972320, 9901299, 90365535, 5528881, 334317541, 60223950, 26014536, 46356575, 246096465, 49755262, 54048224, 10654555, 24442330, 6045037, 557554, 77820875, 43648819, 116552131, 166247101, 7969807, 319950682, 4770883, 102044392, 175843753, 230507077, 134911666, 79206810, 220884734, 26179740, 19050361, 105449809, 93630238, 144945803, 266510043, 52479638, 19249411, 85742346, 48992924, 43187525, 152145799, 48897944, 23136344, 127116339, 43126127, 34809169, 73828439, 158732637, 194630, 8702321, 19222845, 129602095, 5229812, 16990973, 15323433, 120942694, 9350717, 353893975, 22447868, 22173503, 33373381, 19451382, 117849243, 100143768, 107669794, 35164341, 20602581, 8231717, 127879077, 17980645, 1225763, 198227900, 40457437, 48241311, 2726960, 18050038, 83135938, 7805551, 67476139, 256265779, 78707398, 260688887, 110288670, 13263547, 59881781 ], [ 69425260, 22529708, 20675186, 49501456, 136245013, 21081361, 75869350, 57378568, 47429823, 119362638, 135196241, 74243328, 32943424, 19170202, 110703301, 21736456, 14554885, 148363555, 59769800, 120787226, 19684146, 269777730, 54507159, 29905141, 116257715, 47168326, 9823384, 69015501, 998259, 21147669, 36342808, 187264413, 85984868, 187666223, 8729266, 15893949, 89979232, 12448949, 71180042, 87356269, 122487445, 127431486, 124425922, 74713058, 1351015, 9901299, 46963576, 5528881, 77373539, 172946593, 26014536, 38680821, 51243350, 45244718, 74241463, 557991, 177760154, 472332237, 557554, 31863166, 386062655, 274098897, 41935063, 14183910, 24101910, 180770931, 37979439, 33650628, 51836818, 11128502, 166380279, 41029784, 68549625, 226086838, 478450772, 49670432, 142157452, 77671136, 63843991, 108979105, 78255223, 10158467, 24766906, 152145799, 32908317, 23136344, 6180455, 143590005, 48669013, 73828439, 140559073, 42203200, 196627590, 19222845, 240739064, 150740883, 180196922, 43573138, 270928730, 313584214, 477624, 479637556, 41300367, 33373381, 34387799, 36643396, 47583747, 291330493, 35164341, 114688068, 8231717, 36304126, 93898343, 181294108, 237297449, 2273975, 14187457, 36561778, 19888394, 209291570, 51613150, 184474737, 329760281, 4241466, 11770568, 49757387, 69217070, 81159617 ], [ 35045781, 97085922, 113505080, 129906827, 33277103, 7829423, 81223123, 41655514, 31816588, 51282922, 110990789, 12897912, 71615469, 101494557, 171388238, 149675993, 14554885, 44442671, 6239508, 138673085, 19684146, 46042705, 54507159, 34088334, 93047836, 43176167, 236527341, 206026494, 36979083, 9811063, 36342808, 9423297, 130629805, 302525105, 9919743, 107832548, 140274632, 21685856, 82956858, 194479144, 78523311, 39668587, 98787651, 2489092, 112968001, 181581527, 46963576, 145062040, 7617318, 217042657, 26014536, 87331021, 111822348, 44250562, 17366602, 13802806, 179471924, 147347829, 557554, 180266263, 123106573, 24564233, 33395442, 48164330, 59294428, 137077539, 107754139, 3446680, 97144396, 11128502, 60100437, 105937093, 26179740, 272079305, 194148462, 93050969, 142157452, 6429636, 95255415, 29091973, 80116042, 10158467, 24766906, 133862971, 349521050, 23136344, 606042784, 85102900, 30838529, 73828439, 189874150, 7492623, 8702321, 108569573, 97838497, 5229812, 8622823, 15323433, 167337870, 22205311, 477624, 22447868, 64410245, 132992065, 202893225, 173053995, 74355201, 93866529, 35164341, 2967405, 27387646, 152283894, 80817382, 66465211, 218974928, 53110477, 14187457, 108381644, 24346444, 94962878, 114275434, 63207095, 104927712, 78707398, 223317247, 89696708, 149007897, 122000319 ], [ 108766909, 97085922, 113505080, 311917730, 136245013, 7829423, 575356581, 306660385, 367279495, 522594426, 111297908, 74243328, 8799657, 307610120, 110703301, 200324416, 299656620, 148363555, 322520739, 138673085, 16705778, 462128220, 54507159, 34088334, 306351541, 46559750, 10138301, 202500137, 225798482, 306351535, 36342808, 352403629, 130629805, 484628671, 126871329, 171320336, 209660942, 320441286, 143721966, 194479144, 366610199, 127431486, 61520865, 124972417, 148038832, 181581527, 207968359, 145062040, 597805375, 292181355, 26014536, 38680821, 51243350, 128150839, 98129014, 28456575, 24442330, 7865970, 11163758, 294779666, 409288032, 163526627, 166247101, 48164330, 379578981, 138530312, 37979439, 146382436, 174174712, 11128502, 415249929, 204277490, 129111987, 272079305, 343415143, 116247650, 413154866, 463080578, 95255415, 220942899, 208530050, 10158467, 296710329, 395356856, 32908317, 23136344, 43086049, 38692286, 109984358, 73828439, 119485024, 62389858, 210386094, 338810044, 264493512, 5232805, 180196922, 43573138, 272014843, 181874977, 83490460, 479637556, 64410245, 207540529, 19451382, 36643396, 146616987, 173777411, 35164341, 354440483, 8231717, 83635721, 54932321, 379966213, 237297449, 40457437, 14187457, 36561778, 383599334, 209291570, 271186117, 277962867, 87110961, 4241466, 275745585, 298087002, 183648095, 158189237 ], [ 24568957, 56249051, 91521943, 54222065, 136245013, 258038613, 37907051, 237842274, 47429823, 145777557, 151853792, 74243328, 48011433, 13920403, 285126274, 477406369, 57925181, 59374829, 51287163, 138673085, 29984501, 32090228, 54507159, 34088334, 101437440, 23604150, 195681829, 46274253, 4139590, 21147669, 182484876, 30479417, 168067667, 63511917, 9919743, 31685849, 58536873, 152916775, 139956772, 194479144, 11142073, 124550739, 98787651, 33410745, 166401212, 10151165, 46963576, 145062040, 169479086, 85786520, 26014536, 4719488, 61360119, 49755262, 74241463, 123894405, 179471924, 13844790, 14648640, 136880318, 68185028, 46481541, 33395442, 48164330, 49134142, 350226579, 46724107, 20876282, 84890147, 11128502, 65514646, 11748772, 41611089, 19739676, 105449809, 234777735, 142157452, 191823628, 95255415, 1081391, 72730439, 167155196, 24766906, 2157814, 132605470, 23136344, 122076125, 134674203, 69036259, 73828439, 119485024, 7492623, 23401976, 19222845, 171302980, 5232805, 94921908, 43573138, 114793140, 63975941, 94151193, 9498304, 22173503, 15381447, 125381541, 4696912, 149816131, 18029310, 35164341, 259495312, 8231717, 152283894, 3314149, 31420260, 291559747, 77874438, 14187457, 36561778, 63443576, 83135938, 7805551, 57304099, 85358323, 39724630, 12114064, 95588817, 54663602, 41313697 ], [ 22881606, 22529708, 20551867, 70998739, 94692035, 7829423, 24958943, 130453420, 47429823, 74157436, 23414985, 38819351, 8799657, 116597093, 138600072, 26093133, 314815641, 137259315, 5312691, 25067792, 29356258, 46042705, 54507159, 34088334, 15072477, 455495, 26468430, 31043805, 36979083, 9811063, 64371826, 4276608, 37924836, 3631305, 9919743, 5820433, 85660278, 57957112, 39196081, 48807174, 85422202, 39668587, 89956363, 744442, 56922905, 75242477, 46963576, 40785375, 2292136, 23235548, 26014536, 10030682, 87034032, 81373118, 4450514, 1188044, 116601559, 500064, 14648640, 74923677, 47324914, 56202485, 33395442, 7969807, 28367226, 8767110, 3879995, 151400103, 16242110, 11128502, 3837077, 34557159, 26179740, 12467909, 20588532, 41768460, 39107390, 65625979, 52479638, 26225179, 296089615, 24413190, 24766906, 102086935, 12184028, 23136344, 14478024, 41690395, 52984891, 69120244, 1472256, 7492623, 53375586, 19222845, 34717163, 117419210, 150282844, 43573138, 34881830, 32328827, 87998836, 22447868, 64410245, 18143679, 83503572, 981847, 38484741, 12850198, 20953012, 127411326, 8231717, 96419578, 103804387, 15844133, 114183964, 74931875, 14187457, 2726960, 24346444, 94962878, 1819671, 23369540, 6464083, 30294394, 54285085, 49757387, 52134026, 69671491 ], [ 108766909, 97085922, 12192336, 93067545, 98494028, 31619883, 182108133, 56406950, 47429823, 53988238, 30421189, 55136879, 4691642, 177547277, 404779747, 64744781, 98507634, 212588872, 51287163, 101486490, 48757041, 269777730, 54507159, 34088334, 1830157, 47168326, 16674892, 8874972, 4139590, 21147669, 32318278, 247786119, 130629805, 452999412, 9919743, 107832548, 131272334, 43074036, 231163413, 194479144, 30038884, 180635373, 49905013, 124972417, 140478244, 121770532, 17429274, 53239987, 58289967, 27450894, 274891728, 132918258, 55729082, 211551143, 47110452, 221675253, 179471924, 49122919, 422615938, 37373580, 416883383, 75468050, 166247101, 129141680, 189214701, 93890829, 131606927, 292024064, 120193397, 11128502, 308464802, 104722467, 70173489, 60270550, 185954747, 217092159, 142157452, 40748959, 151863899, 19249411, 56454059, 156045941, 24766906, 131068869, 101744987, 23136344, 134580896, 38692286, 52424576, 31631278, 66673514, 7492623, 175851611, 239851689, 210802901, 5229812, 86017614, 43573138, 320285578, 281695804, 34463257, 31481391, 64410245, 46975680, 265958825, 36643396, 160122026, 209602606, 35164341, 94194490, 8231717, 19157688, 108892514, 181627399, 163229229, 64125756, 123359600, 36561778, 39902837, 83135938, 71644140, 53424508, 34781054, 78707398, 333147, 119167242, 36381248, 85240760 ], [ 216364537, 31794376, 113505080, 70998739, 136245013, 7829423, 16637264, 18940192, 65730728, 146809552, 42522121, 12897912, 71615469, 59370111, 86967529, 208075409, 28021384, 68281884, 5312691, 128972561, 26012083, 101703555, 21156199, 34088334, 93047836, 273831893, 349706795, 120142683, 272831144, 258161609, 182484876, 187264413, 130629805, 187666223, 9919743, 107832548, 85660278, 181964479, 82956858, 67535092, 11142073, 153799468, 84011763, 24447404, 177077063, 164468962, 84757146, 5528881, 129183903, 405152753, 26014536, 308659014, 28551907, 81020660, 98129014, 63985392, 163969303, 49122919, 14648640, 16330527, 2470016, 24564233, 162581792, 48164330, 745699, 152204219, 241739040, 151829403, 415019943, 11128502, 47738403, 73698525, 147884076, 118429636, 8301896, 116247650, 51997502, 236661434, 95255415, 86733458, 236825684, 180617129, 377137003, 26791723, 12184028, 23136344, 127116339, 143590005, 48669013, 77133789, 387145649, 7492623, 12997747, 15148564, 16769773, 5229812, 242640728, 43573138, 155275100, 22205311, 458518823, 79870237, 37542637, 33373381, 265958825, 42055225, 74355201, 145603465, 35164341, 94194490, 8231717, 81290693, 62702179, 50913324, 15882741, 77874438, 14187457, 2726960, 39902837, 86263824, 112368064, 67476139, 68550523, 78707398, 62547840, 41984020, 33560528, 28598678 ], [ 108766909, 92011327, 28954775, 311917730, 32448891, 7829423, 81223123, 56406950, 481672049, 57824102, 111297908, 6234330, 33479172, 82164340, 110703301, 53446104, 156651803, 70263422, 6239508, 138673085, 26012083, 290692042, 48133062, 92630033, 151694873, 61969442, 2951290, 8874972, 36979083, 9811063, 36342808, 205766765, 40279073, 39176812, 31083519, 107832548, 78427061, 397428345, 12077891, 107107130, 11142073, 19494935, 124425922, 84396464, 148038832, 92138996, 191320393, 258588989, 47620357, 60223950, 4981553, 38680821, 111096073, 165173119, 19552087, 13802806, 3093796, 6045037, 14648640, 37373580, 3042389, 24564233, 33395442, 7969807, 211953949, 137077539, 21391944, 33650628, 109425557, 11128502, 155591114, 54768859, 26179740, 150838178, 194148462, 116247650, 164224496, 6429636, 52479638, 159837584, 137256231, 10158467, 36793278, 26791723, 32908317, 23974405, 74075798, 38692286, 109984358, 231109926, 216312730, 11521135, 175851611, 108569573, 125885659, 5229812, 79610975, 43573138, 46634052, 209500811, 266717107, 14037149, 64410245, 28107, 148062336, 36643396, 30097089, 209602606, 35164341, 28840007, 8231717, 64233309, 299063011, 110223956, 237297449, 12788432, 14187457, 36561778, 24346444, 209291570, 45827954, 53424508, 142662399, 4241466, 275745585, 129729684, 28762209, 126126563 ], [ 63235793, 83328899, 91521943, 6451402, 25910147, 270127773, 81223123, 109776646, 58222874, 43240855, 652602209, 129433191, 71615469, 107541473, 50053741, 366158729, 123300023, 29437317, 155682803, 138673085, 29984501, 453662693, 54507159, 34088334, 79409986, 410815707, 230950448, 33229162, 67213595, 21147669, 7844830, 188608168, 130629805, 217691524, 9919743, 180270267, 15948992, 30555420, 131021875, 345809269, 188043164, 347647823, 34362516, 135106008, 239972320, 181581527, 191320393, 145062040, 60233218, 1262880, 26014536, 355867530, 246096465, 115949654, 310112618, 34775875, 75203301, 49278154, 66967279, 221127417, 375426403, 48287149, 33395442, 47980771, 196741450, 83767180, 131606927, 116873020, 163030879, 86828267, 65080746, 213141163, 73522015, 118429636, 20588532, 28364330, 129486433, 144514559, 169109617, 220942899, 131579734, 110764262, 130753653, 150975756, 371790041, 23136344, 192082432, 143590005, 112453422, 11347502, 29434064, 7492623, 112610509, 19222845, 59640216, 64418028, 64743094, 43184542, 110766261, 210341802, 270371627, 79870237, 324557455, 71673735, 18629613, 246766272, 453630621, 274141620, 118933817, 145866419, 238700676, 63579621, 108892514, 60938067, 68645588, 39561864, 82300461, 33387298, 89646852, 94962878, 10094996, 67476139, 152256972, 76870292, 306721294, 208451300, 194455763, 82023210 ], [ 31298998, 52344162, 91521943, 51594079, 136245013, 7829423, 128179159, 113911459, 24406483, 14466046, 134999994, 6234330, 33479172, 178444147, 66151199, 47564966, 9235168, 1320109, 241836394, 60467424, 113073148, 12324731, 54507159, 34088334, 84389921, 91073766, 311684793, 8874972, 4139590, 9811063, 15285951, 19256234, 90978759, 213396705, 9919743, 100200947, 93550397, 42715338, 64238106, 61987849, 158735679, 126881108, 98787651, 29272494, 58109109, 72681927, 3890878, 5528881, 102949115, 100418557, 26014536, 38680821, 5217428, 188350636, 47110452, 13802806, 60512965, 6045037, 14648640, 151991380, 257537520, 37621403, 85025643, 7969807, 56731427, 41130812, 34824407, 20876282, 8749735, 11128502, 381927, 54768859, 26179740, 6787830, 100077622, 65014382, 100297601, 454388529, 13309723, 6495620, 56454059, 10158467, 49845313, 14250187, 32908317, 23136344, 74075798, 10724484, 3572918, 73828439, 21548482, 7492623, 25832841, 19222845, 95569490, 5229812, 92055089, 43573138, 120942694, 104335650, 61104428, 22447868, 64410245, 28666453, 165357810, 117849243, 77257505, 29791585, 44259908, 48665060, 8231717, 142510695, 108892514, 47301661, 237297449, 77874438, 14187457, 2726960, 24346444, 83135938, 45827954, 67476139, 85358323, 4241466, 77253233, 194740654, 12434764, 35772956 ], [ 36165227, 123082602, 91521943, 70188949, 125013236, 55262819, 128179159, 112750048, 47429823, 146809552, 151853792, 55136879, 36188612, 31459060, 312817301, 234964803, 73125700, 46153889, 49478863, 56392526, 26012083, 46042705, 54507159, 34088334, 113736956, 47168326, 10138301, 75995835, 36979083, 9811063, 67807680, 285908385, 105961501, 227915236, 126871329, 225807495, 67841978, 54337320, 50199326, 101321538, 24397237, 39668587, 49905013, 124972417, 141293504, 39758238, 46963576, 145062040, 158281515, 224854834, 435637444, 120801518, 246096465, 211551143, 74241463, 13802806, 48212736, 71019915, 34569314, 113582666, 2470016, 19555073, 230664241, 240335432, 745699, 137077539, 22937564, 121142618, 440032672, 11128502, 22704879, 154347737, 26179740, 28358421, 20588532, 73953910, 51997502, 182438260, 106097577, 108979105, 9336224, 83560842, 24766906, 3604455, 108114971, 23136344, 38750214, 143590005, 52984891, 148005474, 192070201, 114032897, 202639771, 5729174, 153363585, 135808020, 180196922, 43573138, 155275100, 32328827, 260208537, 22447868, 64410245, 114835017, 166057620, 36643396, 99340684, 291330493, 35164341, 29229443, 8231717, 83635721, 238692196, 66125541, 240354627, 77874438, 123359600, 2726960, 24346444, 158426488, 105648214, 76350134, 375640565, 78707398, 119646163, 41984020, 86532592, 625522 ], [ 44796848, 103618928, 12665121, 64949304, 25956196, 7829423, 30847550, 112408125, 11338106, 113450913, 32090593, 17470031, 71615469, 31044075, 92486545, 127406295, 36090254, 12209661, 6144291, 151608436, 150579726, 75162073, 26555372, 34088334, 15072477, 3571107, 114822101, 85509945, 58284973, 21147669, 18376985, 30479417, 92420806, 180177331, 9919743, 22598478, 140274632, 90589342, 240537181, 37153598, 85422202, 17280545, 49905013, 124972417, 41889007, 5564078, 35252145, 145062040, 101150932, 49541570, 50308721, 10030682, 130449542, 211551143, 17366602, 10654555, 62238597, 55764706, 14648640, 31897130, 42952507, 63869436, 43160960, 14554355, 214698100, 147232909, 9903185, 79939435, 63046026, 10273456, 181816157, 99519307, 25168621, 164296001, 176266784, 116247650, 48982349, 41301921, 54354205, 26225179, 44865662, 629887, 24766906, 26791723, 8841244, 23136344, 131190754, 3622682, 196263179, 5362144, 111241082, 7492623, 79555049, 19222845, 97838497, 5229812, 40465142, 43573138, 170370254, 38867682, 11199874, 26832688, 64410245, 38917360, 68574937, 112829761, 20066681, 137034153, 35164341, 24606751, 317568990, 152283894, 4558561, 6548385, 88991517, 77874438, 14187457, 35764774, 39902837, 51565532, 146564145, 55694966, 17832662, 49524043, 49608808, 4957152, 26813249, 4773609 ], [ 30218439, 68663819, 91521943, 85872254, 136245013, 37410800, 81223123, 10728620, 11338106, 233495439, 10278007, 50368910, 3373001, 13949632, 57273016, 21736456, 34670150, 125722950, 29159332, 6776719, 29984501, 104300478, 54507159, 24557404, 15072477, 34974794, 9823384, 276162461, 36979083, 9811063, 151566307, 110400755, 92420806, 27354116, 9919743, 15893949, 54954243, 13555557, 6427387, 90318105, 11142073, 7616952, 98787651, 1004199, 242214637, 181581527, 46963576, 33027000, 55947330, 52133795, 26014536, 33709547, 31024540, 28863318, 74241463, 13802806, 68822773, 63465833, 277095228, 99788052, 47671764, 3461683, 33395442, 65369391, 21223115, 28830461, 118868889, 146382436, 158975681, 11128502, 35271930, 220884734, 26179740, 14664792, 118793893, 17535400, 142157452, 31343280, 24397799, 26225179, 124110481, 44235816, 24766906, 46075800, 60151639, 23136344, 164602279, 39797926, 121733072, 15850384, 119485024, 7492623, 47854487, 108569573, 171302980, 5232805, 157134313, 43573138, 22583067, 8258553, 207472463, 22447868, 11205384, 19316330, 20352700, 150049881, 55386826, 7056005, 26093144, 163379014, 37951736, 24708084, 108892514, 143964142, 74075083, 30217700, 69370192, 9219250, 24346444, 7574241, 51505957, 74860029, 87110961, 12797032, 55241413, 51706520, 13486249, 8385885 ], [ 53767814, 37810874, 40672129, 49472071, 80042398, 7829423, 29738778, 3064932, 47429823, 80221479, 76003608, 17470031, 33479172, 29888653, 110893269, 44608379, 27042598, 44778422, 61191946, 91072366, 2411174, 46042705, 33515288, 30265834, 11043061, 14229681, 20394043, 46274253, 4139590, 9811063, 100132079, 25499364, 59646721, 30705108, 18517666, 7620834, 4289144, 15524126, 86884185, 29478518, 85422202, 7658704, 109776295, 1004199, 7150152, 2299448, 26518334, 14156480, 99622015, 20475134, 2885522, 10030682, 17029027, 113740428, 17366602, 13802806, 9047331, 10537101, 14648640, 40026291, 64474081, 51921857, 4989823, 48164330, 3483023, 23458859, 11639369, 3934247, 58456141, 26285677, 9349723, 19553834, 26179740, 60270550, 20588532, 2188794, 14009106, 62078491, 57739491, 15307991, 57232228, 100430043, 24766906, 87462983, 23083607, 23136344, 74075798, 13902089, 23483809, 73828439, 9315550, 71502340, 47854487, 19222845, 97838497, 76578567, 792451, 40321952, 27256281, 30702354, 11199874, 12748329, 38227043, 2842731, 165357810, 83883072, 7528447, 7056005, 35164341, 20602581, 20533010, 173416353, 42207456, 23936108, 15882741, 77874438, 11249825, 30194707, 24346444, 29135259, 17891998, 67476139, 1622103, 52974250, 37146098, 91796273, 54663602, 28598678 ], [ 73695791, 43079110, 25829378, 80487212, 44917359, 7829423, 380822276, 130453420, 379716897, 366499041, 37497957, 74243328, 71615469, 1956136, 83928227, 44608379, 163244877, 148363555, 51287163, 128972561, 309386649, 46042705, 26555372, 50258190, 110846085, 90769529, 202725313, 286927837, 23013064, 9811063, 36342808, 41544785, 176707072, 465689862, 9919743, 22640906, 208398686, 397352435, 42349679, 48807174, 11142073, 39668587, 19726004, 744442, 61860406, 72681927, 21595824, 5528881, 106526601, 224854834, 26014536, 4856150, 38653034, 160133482, 98129014, 13802806, 147138815, 49122919, 14648640, 224416782, 177899296, 86340799, 43160960, 14554355, 189214701, 137077539, 131606927, 285628078, 46744768, 11128502, 265705282, 104722467, 26179740, 272079305, 246611480, 116247650, 21526573, 207719043, 25404180, 246201438, 38633454, 10158467, 93224471, 18630886, 44399837, 20344204, 134580896, 45723755, 48669013, 61709795, 81062078, 7492623, 72104238, 19222845, 29116927, 130680789, 212050499, 43573138, 153207910, 11632480, 234893862, 22447868, 64410245, 33373381, 151094795, 25980055, 160122026, 17251265, 35164341, 24606751, 25447622, 152283894, 82311908, 103477009, 245483875, 77874438, 14187457, 46577104, 19888394, 94962878, 105648214, 112621418, 49654188, 78707398, 62547840, 58157983, 4450784, 158189237 ], [ 163099102, 37182334, 21330488, 244519062, 136245013, 270127773, 81223123, 64228544, 164644572, 520030529, 111594686, 74243328, 51429681, 307610120, 112320206, 273535015, 193818367, 148363555, 361152039, 44052371, 29984501, 174405802, 48133062, 213858731, 31517016, 72281801, 176717251, 187514010, 4139590, 21147669, 56592214, 45632430, 253217494, 39882786, 9919743, 293670450, 15621698, 147319815, 91963581, 194479144, 188043164, 26317362, 98787651, 124972417, 40006193, 126517204, 147594946, 294632400, 383916063, 223778508, 26014536, 382080170, 117024915, 28863318, 98129014, 526434253, 122152169, 130374730, 14648640, 34379776, 359580381, 82907970, 33395442, 48164330, 312952956, 533073319, 131606927, 99126163, 398349116, 11128502, 140177897, 126879975, 349605446, 60270550, 20588532, 74823777, 172998400, 32546859, 24397799, 19249411, 185767832, 117406249, 24738007, 26791723, 305095065, 9750518, 158456429, 143590005, 93880636, 366467039, 269410632, 7492623, 44180486, 19222845, 226744160, 177986462, 113461032, 43573138, 105666477, 107434534, 407688557, 37523352, 64410245, 228228315, 165357810, 163076985, 106258721, 291330493, 11775301, 98398162, 364340403, 152283894, 1250663, 164839428, 83707572, 77874438, 14187457, 63106864, 162226585, 83135938, 262760258, 76350134, 335215260, 78707398, 253336067, 499851953, 54663602, 26619000 ], [ 182047471, 97085922, 91521943, 255197437, 136245013, 7829423, 64387108, 130453420, 11338106, 14650532, 89236244, 60970584, 11184496, 174118816, 36634874, 142056783, 290658520, 30016156, 108875799, 56392526, 29984501, 284309560, 54507159, 34088334, 31517016, 163246600, 8025753, 29390124, 36979083, 9811063, 27130292, 61089924, 92420806, 260270241, 9919743, 107832548, 89979232, 13704278, 38302382, 194479144, 11142073, 127431486, 98787651, 124972417, 86542737, 181581527, 121670979, 145062040, 211429064, 81926026, 26014536, 38680821, 5866343, 178840500, 98129014, 13802806, 3877784, 66324518, 11163758, 218819939, 116120428, 82907970, 33395442, 59464778, 263348719, 137077539, 45806878, 116873020, 158975681, 11128502, 22704879, 93778652, 26179740, 120224, 144697420, 29962433, 164224496, 130713792, 169109617, 47684936, 78255223, 48006655, 377443624, 81020012, 32908317, 23136344, 239846926, 63117422, 74453127, 73828439, 119485024, 7492623, 112610509, 108569573, 31167951, 5229812, 71707505, 43573138, 16667125, 67173398, 250550913, 22447868, 64410245, 42464866, 265958825, 118014890, 106258721, 291330493, 11775301, 48503409, 8198026, 30399646, 1250663, 119894816, 186920231, 77874438, 123359600, 135279616, 19888394, 94962878, 16227549, 160582957, 87110961, 4241466, 242181162, 114723676, 47959539, 8385885 ], [ 297616339, 12547977, 53380503, 205467264, 68797297, 7829423, 81223123, 99774050, 54056093, 280269153, 151853792, 69354034, 42998216, 86533259, 25672922, 211966772, 36506881, 143954271, 29159332, 50333601, 29984501, 141272641, 16621108, 34088334, 93683247, 3680525, 16674892, 109224622, 4139590, 9811063, 32318278, 12143737, 66436771, 1422517, 9919743, 31685849, 277657016, 33140794, 112809998, 61987849, 168427869, 10259202, 58433034, 22668122, 200420436, 181581527, 104014806, 56596407, 106295078, 116689911, 26014536, 86665551, 55729082, 21139736, 64961326, 13802806, 179471924, 25872559, 146848800, 58557296, 101875996, 24647788, 33261372, 15008321, 90149078, 23458859, 131606927, 107257854, 120193397, 11128502, 18298946, 134418637, 26179740, 60270550, 82436325, 45985737, 3490129, 108262086, 169109617, 19249411, 76332171, 62761884, 527268, 14250187, 222733529, 23136344, 62842898, 17567021, 119581927, 30310893, 189849881, 7492623, 30136489, 19222845, 64562711, 105860579, 26063013, 43573138, 137434668, 81208466, 99357158, 22447868, 64410245, 43947509, 34387799, 19909213, 14861593, 43313435, 35164341, 63829230, 52381714, 57219198, 108892514, 132767123, 130565569, 1778507, 4778538, 9219250, 19888394, 7574241, 39880510, 18566907, 142662399, 78707398, 333147, 83112910, 54663602, 158189237 ], [ 24568957, 250446478, 91521943, 6079169, 136245013, 143297716, 357255323, 246519444, 133744480, 322520709, 151853792, 60680714, 272546140, 361999097, 67774100, 467501967, 49526713, 314648196, 51287163, 458402370, 563247665, 46042705, 54507159, 34088334, 81649881, 14229681, 60608100, 116626588, 125037311, 21147669, 14630227, 64025992, 39949637, 272245920, 168756845, 78890150, 26677396, 331627836, 12235484, 101321538, 161630182, 39668587, 49905013, 124972417, 210379947, 72681927, 524744395, 145062040, 158281515, 224854834, 27130572, 9705037, 246096465, 385656177, 22373149, 34775875, 48212736, 71019915, 66967279, 205393085, 2470016, 303468267, 70385091, 240335432, 745699, 350226579, 131606927, 80353712, 487167543, 11128502, 65080746, 104722467, 120799630, 28358421, 443386179, 185657369, 347018491, 97048183, 106097577, 73745190, 197633367, 83560842, 93224471, 256446808, 77984922, 23136344, 142524783, 143590005, 52984891, 32243917, 27001737, 27864868, 443929535, 239851689, 20286424, 135808020, 250968321, 43573138, 114793140, 32328827, 35340239, 117113305, 64410245, 490744849, 373500289, 77292357, 160122026, 55990207, 35164341, 247070033, 346129968, 240288566, 130058598, 152144567, 157968843, 77874438, 6247849, 63106864, 146705618, 227634995, 105648214, 63339542, 101441190, 78707398, 208043842, 41984020, 86532592, 158189237 ], [ 5468845, 177632372, 21464014, 80487212, 136245013, 7829423, 41532827, 130453420, 47429823, 437778517, 112662053, 28429720, 20993071, 113308800, 60989437, 71614902, 546130458, 287585500, 10270580, 128972561, 75296911, 342546502, 54507159, 34088334, 101437440, 47168326, 311684793, 46274253, 35399408, 9811063, 182484876, 291427643, 168067667, 44798675, 9919743, 151089342, 89979232, 73676270, 240537181, 101321538, 188043164, 1911310, 98787651, 124972417, 685270, 72681927, 46963576, 5528881, 16728104, 24824274, 50762164, 65589842, 84518310, 16010961, 74241463, 13802806, 99035310, 231969208, 14648640, 72060624, 248970832, 180416648, 131219860, 16204944, 125007771, 112423991, 110304335, 20876282, 136008579, 11128502, 65080746, 154347737, 26179740, 122116677, 55101405, 94579031, 41818705, 78853791, 95255415, 12573529, 264585662, 341375847, 24766906, 163112204, 94396060, 23136344, 67997478, 10817386, 48669013, 73828439, 1357031, 7492623, 181336563, 19222845, 264493512, 7764742, 208320439, 43573138, 8006431, 109679422, 156622523, 22447868, 54599133, 33373381, 165357810, 134518649, 160122026, 176634885, 1070891, 115107034, 26595740, 152283894, 8644839, 42779730, 192544334, 77874438, 14187457, 92925563, 706043, 635348, 105648214, 10996978, 85358323, 78707398, 131688677, 224365826, 100159235, 45454095 ], [ 24568957, 322731296, 42492388, 311917730, 136245013, 7829423, 123781816, 64711383, 47429823, 71013518, 151853792, 52340777, 51429681, 44715236, 220839074, 71297951, 109549644, 58008113, 51287163, 28941804, 48757041, 46042705, 48133062, 34088334, 79409986, 37245175, 349706795, 159392171, 4139590, 176555202, 36342808, 242606352, 168067667, 49938249, 9919743, 469723175, 15948992, 206894540, 127021901, 99662845, 61402647, 11629406, 3439833, 84396464, 32733857, 28998934, 46963576, 145062040, 333165226, 75632376, 125498050, 67639540, 234638775, 211551143, 74241463, 10654555, 75770217, 144853717, 14648640, 16330527, 43954026, 82907970, 155911357, 47980771, 189214701, 152204219, 40351765, 12512447, 21700668, 11128502, 84321548, 73698525, 144387996, 60270550, 20588532, 79496861, 142157452, 90102240, 10845223, 19249411, 162291132, 10158467, 24766906, 26791723, 40220637, 23136344, 117061250, 13271451, 35901352, 73828439, 5992306, 7492623, 172768206, 19222845, 15727200, 140188466, 44055985, 43573138, 105666477, 32328827, 1512135, 5333442, 64410245, 25231044, 165357810, 36643396, 100143768, 21571738, 11775301, 354440483, 129618218, 76713074, 62702179, 67980694, 15882741, 77874438, 14187457, 156494563, 51864010, 83135938, 10094996, 76350134, 77477233, 78707398, 208043842, 211491767, 54663602, 28598678 ], [ 309946469, 22529708, 3479045, 217515711, 68797297, 7829423, 157367015, 60219136, 11338106, 14580100, 151853792, 17470031, 51429681, 3626888, 64021637, 63370014, 35999303, 44778422, 51287163, 28941804, 69861726, 95629742, 7192050, 34088334, 130364319, 43176167, 26468430, 13627799, 154469493, 21147669, 88277132, 108535708, 92420806, 125462607, 115003938, 9778552, 15621698, 90589342, 23483423, 194479144, 43794235, 114069360, 11857120, 21025205, 930159, 50018306, 46963576, 59332556, 174976853, 85786520, 4878365, 49228694, 137506558, 126181351, 17366602, 10654555, 99035310, 71019915, 14648640, 82513676, 43176819, 82907970, 33261372, 48164330, 174959507, 2388641, 25486736, 142246769, 68295644, 11128502, 123867353, 94063515, 56955854, 118429636, 20588532, 74823777, 142157452, 10226322, 80381280, 62367661, 108257009, 1387681, 24766906, 26791723, 48897944, 4804257, 143989921, 143590005, 223189329, 136403541, 191962791, 100058244, 35881988, 127285520, 97838497, 99126886, 9904138, 43573138, 91342209, 30702354, 42362674, 37523352, 14817250, 18143679, 80779588, 246766272, 47583747, 46266925, 35164341, 184749120, 31533926, 133559574, 93898343, 36216092, 195534471, 77874438, 4778538, 44602585, 162226585, 23006383, 51613150, 76350134, 55862391, 78707398, 107562031, 4957152, 130410939, 8385885 ], [ 121987726, 73957937, 80720214, 85872254, 71706269, 7829423, 42709391, 92093921, 11338106, 31902685, 50240182, 60970584, 51429681, 31459060, 745238, 125839979, 33946263, 44778422, 34562533, 8166328, 62315728, 73774743, 12571, 23657323, 5268798, 3571107, 30126758, 19528142, 85673659, 39257584, 115766820, 16301216, 92420806, 79774038, 96236265, 450606424, 56215101, 158777903, 84598180, 21674560, 17410174, 16462513, 84011763, 24447404, 192093254, 5564078, 40040642, 33027000, 177814453, 52133795, 26014536, 58088469, 5866343, 37635859, 98129014, 2727951, 42519407, 4032109, 32937631, 82513676, 43648819, 53563502, 70385091, 59464778, 300714450, 152204219, 129481555, 121142618, 56723790, 11128502, 25442582, 93778652, 214073558, 120224, 17857116, 69681164, 48982349, 21076761, 55076479, 36807746, 5105700, 48992924, 14027500, 152145799, 8841244, 69256951, 239846926, 34969278, 35303260, 73828439, 61417982, 17197063, 11637368, 19222845, 25454829, 67740901, 9904138, 43573138, 21718788, 27013350, 30869059, 37523352, 22173503, 241828443, 29603894, 10452009, 99340684, 103427412, 2458123, 26274145, 49678368, 81198042, 22799841, 1225763, 162901039, 43915393, 137340550, 63106864, 19888394, 491729052, 7805551, 76350134, 17832662, 78707398, 46350896, 92160008, 33560528, 8385885 ], [ 6925873, 13262061, 67364443, 218286599, 15700007, 7829423, 19233415, 37137181, 11338106, 18994707, 151853792, 55136879, 11184496, 13920403, 36634874, 256542786, 40855158, 134271727, 51287163, 91072366, 29984501, 338450207, 54507159, 34088334, 101437440, 8897262, 58205030, 46274253, 85673659, 21147669, 90105736, 30044816, 92420806, 169626572, 9919743, 22598478, 48222143, 13704278, 86884185, 26723723, 36108440, 172237784, 49905013, 76976742, 141293504, 19310705, 46963576, 33027000, 250035824, 52133795, 26014536, 49228694, 108817131, 41748499, 17366602, 151115724, 62518538, 71019915, 14648640, 33742188, 64124675, 46481541, 33395442, 48164330, 105951055, 51203744, 49483502, 3498867, 158975681, 11128502, 25233263, 93778652, 40382748, 20330484, 48885078, 69681164, 142157452, 36564773, 95255415, 10251915, 55736732, 77870115, 24766906, 331726517, 5486232, 23136344, 75399340, 65261005, 74453127, 73828439, 127091045, 7492623, 8702321, 19222845, 50598703, 116666947, 11867819, 15323433, 147136638, 63975941, 248177336, 7633770, 46124803, 15381447, 29603894, 67723193, 160122026, 92418390, 35164341, 137293499, 49678368, 86598728, 2885606, 3152754, 87229778, 71561743, 14187457, 63106864, 65373577, 6405126, 21759941, 191769387, 32868652, 57850110, 12114064, 181938228, 18133374, 8385885 ], [ 306963574, 6542040, 91521943, 80487212, 31462062, 48019938, 138825044, 130453420, 40200019, 43540580, 119367130, 60680714, 13688128, 13920403, 77120514, 63370014, 26086944, 172427112, 96589875, 31678621, 69861726, 46042705, 13541565, 34088334, 65475789, 117016792, 16674892, 325756812, 36979083, 9811063, 32318278, 385182958, 130629805, 511103835, 9919743, 35899378, 136836269, 21224022, 91963581, 21088947, 11142073, 9027689, 98787651, 124972417, 95918036, 31004594, 65487381, 5528881, 118260500, 85786520, 172606601, 120801518, 43106046, 126181351, 14231909, 13802806, 99035310, 135608475, 14648640, 108112636, 101875996, 90454121, 23852044, 48164330, 145332697, 23458859, 131606927, 79830278, 22680732, 11128502, 45002538, 10892646, 26179740, 16179103, 141747483, 76258876, 7490639, 25396362, 95255415, 7071017, 179241527, 99339, 93224471, 89349740, 315316446, 23136344, 65575539, 11472922, 48669013, 112629175, 61417982, 7492623, 11393357, 19222845, 64417613, 5229812, 105953007, 6700497, 191208995, 32328827, 60262291, 22447868, 64410245, 15381447, 76955315, 10452009, 269248680, 238510339, 93274251, 48503409, 8198026, 75701222, 1957091, 60938067, 64656965, 77874438, 4778538, 63106864, 24346444, 39112176, 105648214, 71864932, 62485142, 475866773, 97987349, 7443946, 170247495, 93515659 ], [ 73278332, 12547977, 761466, 239098588, 33277103, 32711496, 51700404, 18605940, 11338106, 129232697, 122960697, 35278985, 25226926, 59370111, 110703301, 24581982, 105901672, 65697428, 136410397, 28941804, 29984501, 59681708, 54507159, 34088334, 101437440, 3680525, 38006348, 46274253, 4139590, 9811063, 118627722, 30479417, 92420806, 302525105, 9919743, 22598478, 15621698, 45379308, 86884185, 26723723, 11081450, 115658817, 98787651, 116247633, 43195851, 128954548, 17325362, 5528881, 49456256, 85786520, 6062175, 38680821, 51243350, 21139736, 62202479, 13802806, 179471924, 500064, 11163758, 16330527, 33028130, 75283442, 33395442, 180559231, 14845455, 65929704, 9199391, 20876282, 106534241, 11128502, 22308748, 28228757, 26179740, 6787830, 197890468, 45985737, 66263051, 183581583, 108862183, 19249411, 92179239, 261530832, 66668901, 168012152, 32908317, 4804257, 14478024, 127237482, 48669013, 40272716, 119485024, 7492623, 8702321, 19222845, 24516914, 5229812, 63753642, 15323433, 119786801, 26937213, 25234297, 22447868, 64410245, 604917, 29603894, 115582686, 58089574, 46447386, 35164341, 29184568, 6827926, 117837458, 13104997, 147019294, 34187618, 13207700, 68755628, 135279616, 24346444, 51565532, 1819671, 54314133, 37426293, 4241466, 186451732, 120708607, 54663602, 8385885 ], [ 12732776, 22529708, 90283397, 205797377, 136245013, 7829423, 52385941, 162430138, 25044537, 69172837, 119367130, 12932150, 42108825, 63070458, 57273016, 130913996, 76141940, 281373254, 46814823, 2916047, 17088587, 51644968, 54507159, 34088334, 4836413, 43176167, 1324353, 4086075, 4139590, 21147669, 17851763, 5889828, 108507156, 51458735, 130064242, 52512232, 85660278, 125350875, 217041723, 26723723, 36108440, 26317362, 186424101, 22668122, 1523739, 10151165, 38907518, 98960917, 106295078, 85786520, 24144608, 87331021, 17079301, 49755262, 23663798, 10654555, 148375324, 130374730, 68601867, 228015186, 53523994, 53563502, 33395442, 15008321, 14845455, 51402350, 9199391, 71913506, 56723790, 11128502, 18298946, 26930517, 43998752, 45192735, 20588532, 94449962, 58924143, 149762065, 80381280, 7071017, 72967934, 99339, 40525522, 14250187, 48737309, 23136344, 186076781, 143590005, 108289235, 30310893, 95172109, 48008163, 23401976, 19222845, 64562711, 67740901, 19207569, 43573138, 8006431, 22455383, 42362674, 37523352, 12046729, 43947509, 29603894, 68175361, 2331077, 63785001, 35164341, 254881093, 31533926, 202764009, 79920231, 9103766, 126226810, 3632897, 123359600, 98162149, 51864010, 83135938, 7805551, 39219025, 17832662, 14147659, 94226996, 49757387, 9597562, 104490298 ], [ 297616339, 206887513, 58599775, 68786783, 98494028, 7829423, 54149084, 55032171, 11338106, 113450913, 23414985, 74243328, 15970207, 174118816, 13960251, 56245910, 21521887, 148363555, 254168954, 25067792, 29984501, 46042705, 48133062, 34088334, 15072477, 455495, 236527341, 135039818, 60471620, 21147669, 136099858, 17945446, 50550587, 18333928, 9919743, 181488963, 15621698, 111646838, 110155120, 86509843, 30038884, 26317362, 98787651, 124972417, 49963491, 123500603, 25188003, 19481403, 266469789, 147982748, 26014536, 68765070, 55729082, 28863318, 17366602, 86751626, 31986973, 73724274, 14648640, 11624220, 72819170, 82907970, 10055390, 48164330, 180005608, 23458859, 23660337, 12512447, 23333317, 11128502, 27213168, 141289550, 68549625, 108333800, 33384915, 74823777, 27420445, 61500810, 24397799, 26225179, 76332171, 629887, 24766906, 1567244, 77984922, 23136344, 40583292, 27011019, 52424576, 31631278, 90594670, 7492623, 80374169, 19222845, 15727200, 152814746, 86017614, 43573138, 16667125, 32328827, 146455226, 37523352, 64410245, 604917, 34387799, 60881301, 30097089, 21571738, 3582241, 98398162, 346129968, 51492299, 1250663, 181627399, 162901039, 12788432, 14187457, 134045925, 145341619, 94962878, 53923074, 129558686, 72824293, 30294394, 333147, 166270172, 7421594, 7942710 ], [ 65594760, 22529708, 39960801, 220620891, 136245013, 83086094, 575356581, 130453420, 47429823, 57598194, 97336887, 74243328, 15469370, 307610120, 285126274, 15594252, 193818367, 40467529, 146682443, 56392526, 48757041, 46042705, 48133062, 270358863, 29317739, 43176167, 10138301, 75995835, 36979083, 9811063, 6659009, 187264413, 168067667, 187666223, 9919743, 47365399, 85660278, 58885094, 52619599, 171123083, 100053930, 39668587, 90954292, 58455906, 251188112, 181581527, 46963576, 338102275, 16728104, 34650908, 412067184, 4856150, 129468926, 128500669, 74241463, 13802806, 179471924, 308416947, 14648640, 77820875, 409288032, 82907970, 126593288, 48164330, 3477049, 137077539, 1604517, 104706895, 440032672, 11128502, 22704879, 166078129, 26179740, 118429636, 20588532, 54084175, 142157452, 182438260, 95255415, 7147687, 76332171, 10158467, 24766906, 26791723, 136457816, 23974405, 23188495, 143590005, 52984891, 73828439, 76886779, 7492623, 112610509, 108569573, 29116927, 7764742, 14411183, 43573138, 376477099, 32328827, 355532756, 22447868, 30883294, 57804699, 658836601, 36643396, 47583747, 291330493, 35164341, 46738299, 131121480, 83635721, 108892514, 117934233, 162901039, 77874438, 14187457, 119569578, 706043, 94962878, 51613150, 76350134, 277298509, 76804661, 275745585, 49757387, 101640432, 99214778 ], [ 35045781, 189277244, 91521943, 50682523, 65939560, 6279852, 63043790, 92093921, 86166459, 69172837, 4383832, 58519521, 36188612, 59370111, 49382248, 39070086, 44361233, 8106186, 13840959, 30672394, 17088587, 46042705, 1335090, 30265834, 4836413, 43176167, 10138301, 46274253, 4139590, 9811063, 36342808, 9423297, 103803186, 120120523, 126871329, 21381525, 85660278, 150557239, 84598180, 23987576, 78523311, 30627147, 37838831, 24447404, 75524131, 1403991, 7442236, 33027000, 211461577, 52133795, 114409998, 13632521, 68252041, 49755262, 95948805, 13802806, 3093796, 6044690, 14648640, 16330527, 147755860, 230874915, 155911357, 48164330, 28367226, 127449548, 8605961, 12512447, 90734652, 11128502, 22704879, 73698525, 26179740, 60270550, 20588532, 98381612, 2218418, 60945208, 2118953, 12573529, 45404420, 10158467, 137849855, 168012152, 42160984, 8512282, 278030268, 13271451, 35901352, 73828439, 120813096, 74765455, 23401976, 19222845, 15727200, 140188466, 44055985, 43573138, 213212694, 32328827, 113821545, 22447868, 22173503, 76634039, 15764581, 36643396, 52774061, 21571738, 11261624, 20602581, 131121480, 83635721, 62702179, 259420844, 162901039, 22025833, 14187457, 51743512, 24346444, 83135938, 7805551, 76350134, 37929970, 78707398, 208043842, 4746681, 33560528, 51682793 ], [ 6925873, 37049060, 91521943, 135265314, 25910147, 7829423, 28004486, 273160914, 22962273, 65059950, 19971613, 58519521, 63045578, 39175709, 103893751, 62853231, 17575616, 1320109, 37552640, 29461190, 29356258, 142843678, 54507159, 79079084, 31517016, 6217008, 69798482, 8874972, 4139590, 21147669, 74107309, 48525486, 26320394, 19490018, 9919743, 22598478, 15621698, 158777903, 48869529, 86509843, 158735679, 159758675, 1572129, 24567123, 8672790, 130257068, 135602929, 5528881, 86319897, 197470773, 50308721, 55422644, 72770142, 208342941, 47110452, 76260765, 39640303, 6045037, 14648640, 16330527, 62014073, 160877336, 82451291, 7969807, 113542778, 114734156, 69562943, 20876282, 94420609, 75709387, 27757256, 6038789, 156246820, 12467909, 1212561, 15975839, 106851870, 33639688, 52479638, 1081391, 91704959, 629887, 12545425, 67433929, 43748698, 23974405, 103652434, 100320188, 48669013, 73828439, 28854300, 7492623, 19181154, 19222845, 132231163, 113269742, 72088588, 43573138, 110766261, 82379273, 83043842, 9498304, 39741084, 33373381, 5910747, 4696912, 38484741, 43313435, 33011270, 26274145, 31216632, 41392187, 1250663, 58672491, 83949763, 77874438, 14187457, 9219250, 162226585, 18773353, 103526719, 67476139, 6464083, 111770189, 20573000, 29107775, 54663602, 202311234 ], [ 24568957, 6425915, 91521943, 18520017, 66229473, 7829423, 28004486, 84990941, 22962273, 65059950, 19971613, 58519521, 63045578, 36020946, 61860283, 118568550, 17575616, 10053466, 37552640, 21811876, 17088587, 29555188, 54507159, 55713992, 4836413, 3680525, 120623046, 2566108, 4139590, 9811063, 50069238, 65195325, 73343376, 75366654, 9919743, 22598478, 85660278, 175444902, 48869529, 86509843, 58612402, 98400188, 23841273, 72953697, 8672790, 10151165, 13451784, 99248594, 140036961, 89121664, 26104170, 38680821, 12789386, 49755262, 74241463, 13802806, 17628513, 6045037, 14648640, 2869563, 68617850, 16119011, 124064278, 7969807, 8529026, 95649003, 31291139, 12512447, 30422587, 11128502, 3368772, 91707212, 26179740, 60270550, 1212561, 14124872, 106851870, 33639688, 29617518, 1081391, 49723126, 629887, 24766906, 67433929, 32908317, 18248913, 33241927, 95262989, 69036259, 27251218, 13438897, 7492623, 19181154, 19222845, 15272083, 5232805, 78521448, 43573138, 114793140, 197367680, 207472463, 4367807, 22173503, 116397490, 9277811, 4696912, 18693703, 21571738, 7422311, 18875456, 808038, 143970678, 1250663, 259420844, 80764714, 72369969, 14187457, 9219250, 24346444, 18773353, 7805551, 20547045, 87110961, 4241466, 261263108, 142619239, 54663602, 53692391 ], [ 19594632, 6425915, 23176922, 100319932, 136245013, 19122126, 28004486, 64228544, 47429823, 78031900, 119367130, 74243328, 65498852, 42278554, 147782651, 8138431, 17575616, 62864593, 1385740, 53632563, 25144966, 999399, 54507159, 95218175, 101437440, 47168326, 203793672, 21404875, 29614148, 9811063, 74107309, 30479417, 13192576, 73519779, 9919743, 95505645, 62666360, 12448949, 9985536, 86509843, 150033699, 21299284, 19040094, 124972417, 6999984, 5564078, 46963576, 28538266, 212705378, 21015461, 81433197, 87331021, 15188633, 49229674, 74241463, 10654555, 53204408, 6044690, 37915917, 129046407, 109914033, 163526627, 121749484, 7969807, 28367226, 4770883, 102901169, 20876282, 58456141, 11128502, 97409836, 53898086, 2585693, 56038881, 1212561, 42996191, 48982349, 62078491, 52479638, 4632482, 58982865, 19213264, 24738007, 45077948, 8841244, 5708981, 13431390, 27210480, 2056300, 54162744, 66873785, 7492623, 44180486, 19222845, 25784813, 5229812, 67916721, 210957, 120942694, 32328827, 3183018, 22447868, 64410245, 13618800, 165357810, 47251751, 38076923, 31997175, 2939230, 79300236, 69259075, 18245555, 17980645, 75222315, 114866780, 13721683, 165164248, 5300437, 24346444, 94962878, 112898171, 67476139, 40582900, 42732139, 124456633, 85371023, 20784567, 117196834 ], [ 91375704, 22529708, 40846430, 15079497, 18603769, 137611764, 58278992, 88185506, 72464940, 69172837, 19436251, 61471504, 13688128, 53698187, 59427941, 39070086, 17575616, 9745580, 76057759, 57593823, 17088587, 209982333, 37469071, 34088334, 4836413, 14229681, 230950448, 166038206, 4139590, 9811063, 8933321, 42229856, 73343376, 42594670, 9919743, 142340169, 52868871, 78204615, 48869529, 24544053, 74582199, 124550739, 98787651, 73462842, 20097980, 181581527, 172487214, 39450044, 31700643, 26018692, 26014536, 68765070, 160466134, 19390578, 15982838, 13802806, 17143545, 195371164, 14648640, 86959590, 12831060, 44342411, 10055390, 15008321, 88274678, 137077539, 129481555, 11729070, 90734652, 8937545, 25442582, 7983738, 26179740, 60270550, 1212561, 102371142, 27420445, 10574149, 19353368, 19249411, 52756513, 26643851, 168199869, 66745399, 69296796, 23136344, 78487056, 28187199, 146471121, 46562610, 4822408, 7492623, 28153125, 19222845, 109055717, 5232805, 35212484, 43573138, 105666477, 53249682, 45749314, 22447868, 48659214, 117774170, 1213477, 5937249, 47583747, 43313435, 11261624, 201598130, 31533926, 97187095, 1957091, 85561760, 90757127, 387513, 14187457, 9219250, 24346444, 83135938, 7440492, 67476139, 87110961, 35335042, 168282521, 49757387, 7421594, 82023210 ], [ 63235793, 37232611, 91521943, 43746195, 48914093, 7829423, 18545556, 24077093, 47429823, 65059950, 8269591, 41486969, 71615469, 207877404, 89817133, 66184872, 9090299, 16482714, 51287163, 29461190, 17088587, 228544777, 54507159, 149691167, 4836413, 6217008, 36571946, 2566108, 4139590, 21147669, 50069238, 70712698, 28190702, 19490018, 9919743, 149559773, 85660278, 904925, 48869529, 86509843, 100449399, 49827831, 19040094, 124972417, 94391659, 181581527, 46963576, 5528881, 103310572, 169384908, 50308721, 119191613, 39071127, 31772298, 30901586, 76260765, 179471924, 6045037, 37915917, 223269488, 12831060, 48287149, 38504136, 1245518, 81138426, 23458859, 131606927, 89675880, 12827981, 11128502, 35910822, 91707212, 27602223, 12467909, 1212561, 38305625, 17614911, 39305381, 52479638, 1081391, 51738320, 629887, 24766906, 61282264, 42160984, 81149065, 33049184, 28187199, 48669013, 55132850, 28854300, 7492623, 19181154, 19222845, 119176544, 18997412, 26390262, 43184542, 26411500, 6693681, 155451922, 9498304, 64410245, 28666453, 80779588, 2904225, 52774061, 116187027, 2939230, 12699353, 31216632, 44545905, 69997795, 59975413, 83949763, 29711616, 18505619, 2726960, 1588375, 83135938, 92194988, 10996978, 6464083, 102412253, 151040944, 298629755, 54663602, 53692391 ], [ 103491662, 250085142, 113505080, 234238465, 28053771, 7829423, 123781816, 86218496, 212813808, 150264207, 151853792, 58519521, 130130642, 88755125, 7894273, 253059610, 8526736, 58008113, 33323390, 201977906, 117487898, 46042705, 54507159, 375473114, 21710163, 3834772, 55860229, 135721463, 25803684, 9811063, 90105736, 43351428, 111944417, 293254629, 270042889, 61696962, 15948992, 161451072, 131021875, 34063333, 111992782, 7658704, 66145189, 124972417, 190878851, 77234777, 222574601, 23005516, 175784419, 224854834, 68338739, 87331021, 28551907, 103001855, 4671073, 10654555, 177760154, 6044690, 14648640, 86628218, 62623031, 24647788, 67308324, 47980771, 28367226, 137077539, 70066454, 334175213, 152511139, 11128502, 415249929, 220884734, 7862580, 106794247, 8301896, 116247650, 145175425, 14116355, 95255415, 47781131, 328325020, 98552377, 237063083, 94155543, 76832217, 23974405, 321839169, 143590005, 52984891, 33510049, 1325224, 7524353, 35881988, 471631, 40424159, 42739875, 82696305, 43573138, 272014843, 32328827, 59848057, 22447868, 41078699, 2842731, 165357810, 109095160, 7934829, 58570577, 15560302, 55393996, 16988394, 104271983, 54272099, 259420844, 22934642, 801913, 14187457, 88015450, 24346444, 40462176, 34555518, 53895132, 7194354, 78707398, 37029363, 225197936, 15170477, 63916582 ], [ 12578631, 36539407, 80749299, 157120283, 136245013, 19122126, 60053269, 144050571, 12819654, 24521139, 3134393, 12897912, 71615469, 42278554, 124769759, 378422338, 3283345, 148363555, 21141433, 37424842, 21429619, 256117572, 45982270, 34088334, 93047836, 117016792, 16674892, 2566108, 51359057, 21147669, 32318278, 286490774, 13192576, 99683321, 7603521, 24481563, 152685187, 67716879, 26678564, 64448995, 64584391, 10259202, 58433034, 106083912, 48480167, 10151165, 3293549, 87623488, 60031440, 89121664, 5333588, 128169573, 58700065, 49755262, 98129014, 86751626, 9044525, 6045037, 37915917, 44116981, 313498671, 163526627, 166247101, 7969807, 83562185, 23408616, 98447598, 105460973, 7445093, 11128502, 109538670, 64570389, 286573912, 181369128, 105449809, 144098951, 142184800, 91351638, 19353368, 64889486, 107455317, 341375847, 128455733, 12813061, 370385310, 23136344, 92312791, 3822671, 45261817, 79054276, 16377744, 7492623, 23401976, 19222845, 42225288, 5229812, 167486168, 6371671, 34881830, 22205311, 6496455, 6227883, 22173503, 171794396, 10582988, 112277713, 36849268, 55115842, 43421684, 40801024, 27387646, 50464397, 34900327, 61503867, 158375120, 58739725, 24807458, 178115753, 39902837, 7574241, 7805551, 67476139, 87110961, 30294394, 124247600, 166270172, 57156642, 53692391 ], [ 74420813, 62837287, 91521943, 36929921, 33277103, 7829423, 81223123, 10728620, 11338106, 69172837, 10840374, 55136879, 14892071, 13949632, 57273016, 97040366, 7619152, 30826342, 29157526, 4242430, 1887686, 8026913, 52292132, 65539495, 4836413, 43176167, 17558543, 19528142, 71520699, 12619999, 22455959, 17945446, 14568974, 86439671, 9919743, 560376, 27137660, 11764889, 23580742, 1062884, 11142073, 7616952, 43390070, 22668122, 28107370, 5564078, 22487531, 33027000, 27658597, 2414303, 26014536, 39656652, 45328380, 21139736, 5467318, 11735842, 19594764, 8221730, 11163758, 54620530, 10438450, 53608172, 33225134, 4081438, 349987, 23458859, 22249452, 116873020, 136008579, 11128502, 81048222, 3453250, 23670427, 92102152, 51870196, 76258876, 48982349, 12703603, 24397799, 58059705, 45404420, 629887, 15827323, 12808284, 8841244, 57307319, 166806064, 8876716, 55075676, 30310893, 117188876, 7492623, 8702321, 19222845, 9375783, 5229812, 11867819, 15323433, 178499991, 81208466, 30869059, 79870237, 20159442, 96547010, 29603894, 10148911, 26411399, 43313435, 35164341, 48503409, 8198026, 24127779, 1705575, 6093032, 21264179, 71561743, 9586020, 285305, 10387097, 2900635, 39880510, 9601057, 8176262, 66961221, 55241413, 31458977, 7013744, 8385885 ], [ 127998699, 97085922, 13184479, 70998739, 32448891, 7829423, 17837375, 20816915, 92450345, 53988238, 152498248, 7482745, 71615469, 19170202, 60931390, 23162962, 21637467, 8046699, 17039580, 7539111, 344377, 46042705, 48133062, 29905141, 1830157, 268856666, 7304708, 8874972, 5083551, 9811063, 3901026, 18907274, 68969608, 19490018, 9919743, 95199296, 11007345, 123316195, 122367466, 9811705, 20483432, 29663867, 34362516, 14539178, 21358867, 44664407, 191320393, 5528881, 60233218, 47044965, 26014536, 39667513, 51243350, 63808796, 16043503, 13802806, 24442330, 6045037, 11163758, 31863166, 116543343, 17934045, 33395442, 7969807, 196741450, 114734156, 34794460, 403912, 94420609, 11128502, 47738403, 6038789, 26179740, 10346753, 7495322, 57284668, 65833966, 40748959, 48461682, 198941713, 110618098, 134345439, 93224471, 26410859, 131637214, 9279927, 35069163, 63149308, 48669013, 3998050, 28854300, 7492623, 112610509, 24617879, 62289908, 5229812, 64743094, 43573138, 46634052, 23252735, 49369493, 14037149, 20782256, 28666453, 19451382, 134518649, 220912359, 145603465, 230889432, 29698350, 63114476, 66011694, 105915239, 22806373, 41599599, 35435308, 14187457, 2726960, 24346444, 11520981, 105648214, 67476139, 6464083, 169694533, 183176331, 152432601, 52016418, 88366879 ], [ 24568957, 97085922, 40672129, 74974636, 52031164, 7829423, 5481880, 527077, 31816588, 5750430, 33741451, 74243328, 71615469, 1493631, 207002271, 71614902, 15359907, 87578813, 14248063, 113435144, 29984501, 32090228, 8497416, 34088334, 4323295, 13176388, 15212823, 9776443, 4139590, 9811063, 69772960, 1583679, 13192576, 19490018, 9919743, 41749488, 52868871, 33221467, 70368511, 19421974, 108687630, 22436531, 98787651, 124972417, 56922905, 8738751, 6790387, 28538266, 214247494, 3728851, 26014536, 10030682, 5217428, 13392175, 74241463, 13802806, 55492492, 66324518, 23757037, 19578098, 15452109, 51921857, 33395442, 36769191, 2663878, 8767110, 70797506, 11729070, 17481693, 8937545, 93913472, 166078129, 26179740, 12467909, 45127163, 29962433, 35203089, 69715463, 13309723, 3400982, 15170885, 33612121, 24766906, 23507974, 36719452, 23136344, 21511994, 125973346, 6061460, 56071200, 28854300, 7492623, 48482378, 19222845, 107146911, 5229812, 33930366, 43573138, 34881830, 32328827, 23271493, 22447868, 64410245, 15381447, 64427801, 5937249, 58168348, 18029310, 32211393, 36831880, 423362, 81146737, 3314149, 31420260, 54283146, 13721683, 84096321, 30194707, 10289483, 64520228, 49451183, 39880734, 6464083, 30294394, 97987349, 17981361, 54663602, 41313697 ], [ 173513365, 39478371, 9024081, 53684186, 70390093, 7829423, 245853059, 130453420, 47429823, 69172837, 24054309, 74243328, 71615469, 75666424, 23609316, 69899350, 124340353, 4984523, 51287163, 138673085, 17088587, 46042705, 49929162, 1526538, 4836413, 285087, 173511124, 46833787, 2676216, 9811063, 50069238, 94730687, 117146760, 6952233, 9919743, 22598478, 85660278, 15739239, 84598180, 57103513, 108687630, 27522825, 98787651, 24447404, 39598691, 5564078, 22487531, 145062040, 187776720, 224854834, 26014536, 10030682, 13840461, 14816764, 74241463, 13802806, 42397331, 102372455, 14648640, 99788052, 64474081, 76055172, 138450864, 29971251, 42556680, 23458859, 7727146, 33650628, 10434167, 11128502, 24161176, 46371522, 26179740, 118429636, 7722635, 116247650, 48982349, 6143964, 95255415, 67138780, 78160721, 65197814, 24766906, 132860826, 8841244, 23136344, 188185640, 19183193, 16187715, 5080235, 223982111, 7492623, 82716240, 19222845, 264493512, 75897377, 9904138, 43573138, 147333563, 9350717, 41955478, 22447868, 37542637, 20191148, 87008942, 246766272, 52774061, 28712800, 35164341, 13010805, 194348220, 59244166, 15506915, 118827854, 240354627, 37098245, 14187457, 22148700, 24346444, 51565532, 118431638, 67476139, 80734364, 12797032, 22161406, 161207914, 20692942, 23668957 ], [ 274333149, 207278469, 91521943, 52780335, 33277103, 39404771, 40798206, 55032171, 47429823, 65059950, 38036421, 55136879, 22757081, 207228724, 89817133, 88603212, 47462562, 268015992, 115829227, 29461190, 29356258, 29555188, 54507159, 1333810, 15072477, 47168326, 94699515, 2566108, 4139590, 21147669, 110960290, 28857644, 92606605, 53937053, 9919743, 41163899, 59625208, 90589342, 86884185, 48807174, 53670039, 108205160, 19040094, 744442, 39598691, 181581527, 41226582, 152402807, 101150932, 47721901, 68774826, 37443353, 102323003, 28863318, 74241463, 52315371, 144587293, 8221730, 127415533, 82513676, 12831060, 2672366, 230664241, 63735796, 137307059, 190255644, 9903185, 85464298, 103833707, 11128502, 91892801, 89761160, 59047738, 22062376, 17857116, 461791024, 39107390, 61500810, 10845223, 12801747, 45404420, 19377587, 24766906, 17277866, 78157342, 61578518, 33049184, 117532280, 74453127, 5362144, 105769718, 7492623, 8702321, 19222845, 25454829, 56344454, 113461032, 15323433, 48659254, 45332682, 92140823, 31755361, 54855577, 114835017, 80779588, 115479565, 29647198, 43313435, 2939230, 67142518, 43644912, 52621892, 22799841, 58672491, 43037383, 8699484, 64456563, 9219250, 28110601, 39777883, 32182005, 89779237, 148440764, 117079825, 42307385, 14981698, 33579362, 53692391 ], [ 17982512, 1125960, 69673456, 47660980, 136245013, 7829423, 40798206, 10728620, 16684911, 113450913, 71740727, 39752909, 22757081, 63070458, 38495132, 29133436, 18518610, 10053466, 67004930, 94100186, 69861726, 29555188, 37469071, 26510246, 8151623, 24714950, 154916, 13627799, 16651970, 21147669, 110960290, 26870932, 30480996, 19490018, 9919743, 122794647, 16030056, 1324629, 7212736, 26723723, 11142073, 26317362, 12920141, 16059994, 222415398, 10914927, 33439659, 28538266, 76526466, 11812754, 26482256, 51115619, 12789386, 24024281, 74241463, 47709058, 43402558, 25872559, 31439324, 53154926, 35485214, 3371438, 11447161, 26330736, 35286264, 23458859, 9199391, 3498867, 50326426, 11128502, 20324473, 80931447, 18144078, 10346753, 124936471, 44388396, 3490129, 10226322, 19353368, 2983819, 91704959, 629887, 1952855, 26410859, 39036759, 52057456, 32312309, 65859679, 16187715, 51457212, 28854300, 7492623, 44180486, 6493763, 171302980, 123784479, 35003869, 19208649, 64520074, 53249682, 31190782, 61127912, 57164573, 15356887, 24435136, 10148911, 2331077, 127385698, 11261624, 134885629, 31533926, 152283894, 108892514, 35539146, 41599599, 13721683, 142519476, 5300437, 28110601, 94962878, 32182005, 12583521, 6464083, 12307856, 42307385, 72724469, 57156642, 93983836 ], [ 84401073, 37232611, 91521943, 68786783, 66229473, 7829423, 28004486, 88185506, 25044537, 77931079, 34399923, 12932150, 22757081, 43984272, 55628023, 61101287, 17575616, 10053466, 51287163, 56392526, 1347534, 46042705, 54507159, 6828228, 41350072, 3571107, 49802944, 31043805, 4139590, 9811063, 48867683, 45632430, 73343376, 19490018, 9919743, 9914313, 52868871, 56882824, 39196081, 86509843, 122282160, 26317362, 11857120, 38081757, 64752434, 49281557, 25188003, 57471150, 42823446, 31194521, 26014536, 17227843, 48107050, 13392175, 98129014, 13802806, 75770217, 6045037, 14648640, 86959590, 131374035, 26004910, 33395442, 1245518, 35286264, 23458859, 23660337, 12512447, 94420609, 11128502, 3837077, 91707212, 26179740, 12467909, 1212561, 102371142, 789841, 23883707, 19353368, 19249411, 49723126, 629887, 54757914, 45077948, 138311514, 23136344, 15822892, 91342936, 52984891, 52375176, 28854300, 7492623, 19181154, 19222845, 15727200, 5229812, 78521448, 1404637, 64520074, 32328827, 123075091, 22447868, 64410245, 122527467, 30601642, 5937249, 116922883, 6170367, 12933874, 12699353, 14870913, 19797370, 34039399, 6548385, 83949763, 37495361, 1330228, 23286481, 24346444, 40911325, 32182005, 39880734, 6464083, 35335042, 12114064, 166270172, 33579362, 20795764 ], [ 8673038, 83328899, 91521943, 74511019, 84778000, 53865188, 81223123, 36650187, 2916588, 142145560, 23414985, 74243328, 6781625, 8339888, 57273016, 4605955, 18518610, 10053466, 31833927, 25067792, 29984501, 172743250, 54507159, 32539768, 8151623, 455495, 46577098, 325756812, 4139590, 21147669, 114118513, 72608530, 10956107, 82879566, 2698519, 22598478, 31600162, 111646838, 111586645, 166519314, 161630182, 105594232, 11857120, 38081757, 64752434, 101854112, 191320393, 59332556, 150394056, 27039624, 26014536, 72386568, 12789386, 67955405, 45390288, 34775875, 69399563, 56876627, 14648640, 96376620, 99257009, 116865440, 10055390, 48164330, 64601654, 23458859, 102811421, 71913506, 23333317, 11128502, 27213168, 104722467, 92135163, 150011, 20588532, 11780585, 58924143, 71500726, 68507751, 19249411, 77230410, 26643851, 40525522, 61282264, 138639582, 23136344, 192082432, 107181353, 46250371, 73828439, 20802, 7492623, 15382570, 29784863, 264493512, 152814746, 9904138, 43573138, 163430255, 30702354, 278003941, 17767434, 56859134, 319489812, 29689904, 108492253, 3085938, 93866529, 11261624, 174257097, 364340403, 133559574, 108892514, 1164866, 11721984, 58569374, 6292514, 40256698, 28110601, 51565532, 10050576, 27658010, 6566276, 14147659, 86208856, 114565324, 23279090, 82023210 ], [ 63235793, 97085922, 57332646, 205797377, 1259187, 2408714, 42310943, 19518841, 31816588, 69172837, 27512493, 60052903, 43734548, 12265261, 15046430, 134780463, 60919896, 13449083, 2576077, 40299525, 1549220, 46933220, 54507159, 8578868, 4836413, 169774264, 79781033, 323425527, 85673659, 21147669, 50069238, 45632430, 57938353, 12077847, 9919743, 22598478, 35422208, 125350875, 3926926, 48236911, 1692936, 19494935, 4528959, 22668122, 115079014, 124709135, 22662942, 145062040, 207915966, 161091550, 26014536, 10824101, 174860445, 67955405, 19552087, 28211907, 859800, 27624956, 13817472, 7096769, 3042389, 14186523, 33395442, 48164330, 19325160, 23458859, 9199391, 12512447, 25329720, 11128502, 81323474, 22902399, 107607561, 94004154, 11061698, 116247650, 33333343, 61500810, 29617518, 74104424, 34159485, 51068483, 4993084, 61282264, 150650394, 22740229, 42129310, 13271451, 6336898, 30310893, 91110175, 7492623, 25184449, 19222845, 15272083, 65146730, 63753642, 33673721, 8006431, 81208466, 65617721, 79870237, 22108929, 28107, 69560477, 60881301, 52774061, 21571738, 35164341, 20602581, 85809652, 152283894, 4268130, 1164866, 296874181, 66124152, 5818380, 79876633, 59468880, 42452573, 39880510, 67476139, 142662399, 75288835, 183643784, 4957152, 35388483, 123716021 ], [ 137448474, 81853573, 91521943, 52780335, 33277103, 7829423, 28601939, 35746953, 47429823, 74543921, 29056641, 12932150, 8799657, 1026425, 57273016, 13112516, 40855158, 901280, 14482665, 27484291, 29984501, 9856007, 21740419, 30265834, 44202744, 28284605, 146350170, 46274253, 4139590, 21147669, 36342808, 45632430, 63338930, 169626572, 9919743, 22598478, 15621698, 184337709, 50810302, 26723723, 36108440, 7658704, 13827705, 22283651, 76919061, 78414949, 21595824, 18478398, 42823446, 7918031, 26014536, 15202706, 74873642, 67955405, 63879505, 34775875, 69399563, 7865970, 2568800, 6513113, 62014073, 134209279, 33395442, 48164330, 39424088, 23458859, 110304335, 12512447, 90734652, 11128502, 22704879, 104722467, 43998752, 60270550, 9886030, 14220619, 106851870, 39305381, 76316761, 12801747, 19394570, 629887, 3043435, 27582296, 22500058, 23136344, 70830977, 98891223, 46250371, 30310893, 20802, 7492623, 8702321, 19222845, 15727200, 28447631, 9904138, 15323433, 30627509, 30702354, 22953946, 8897459, 39741084, 2842731, 1213477, 60881301, 146392488, 21571738, 6412549, 20602581, 31533926, 41392187, 4268130, 27437299, 3875981, 34243742, 14187457, 9219250, 13530319, 51565532, 20325299, 76350134, 33165234, 184152034, 4529216, 82075899, 43514805, 12517399 ], [ 84167307, 97085922, 58599775, 17394282, 33277103, 7829423, 81223123, 64228544, 213389883, 65059950, 19436251, 74243328, 71615469, 67585888, 57273016, 21736456, 17575616, 10053466, 76057759, 29461190, 29984501, 36293058, 54507159, 6599394, 31517016, 12564057, 9823384, 2566108, 4139590, 21147669, 13798052, 17945446, 73343376, 125462607, 9919743, 15893949, 15621698, 33221467, 14588219, 86509843, 85422202, 38566427, 68866704, 124972417, 133742479, 109407790, 8870436, 82196489, 106295078, 85786520, 26014536, 87331021, 131837467, 67955405, 17366602, 92690679, 46163517, 165669482, 14648640, 153727858, 294334861, 74787649, 13590985, 15008321, 180005608, 152204219, 40351765, 104706895, 90734652, 11128502, 22704879, 94246456, 43998752, 60270550, 1212561, 54084175, 27418283, 125434249, 95255415, 19249411, 64692649, 629887, 24738007, 67433929, 228060825, 23136344, 40583292, 63306276, 2301376, 73828439, 105769718, 7492623, 8702321, 29784863, 61536432, 123784479, 113461032, 6823891, 133064883, 197367680, 222054646, 39423395, 64410245, 260784597, 80779588, 64015764, 160122026, 63785001, 11261624, 98398162, 31533926, 152283894, 1250663, 117934233, 9770278, 71561743, 14187457, 42496587, 162226585, 38038820, 7440492, 207669906, 142662399, 78707398, 149975785, 346964949, 54663602, 53692391 ], [ 135798514, 22529708, 31671979, 115135124, 1773737, 42600000, 64387108, 10728620, 11568794, 14650532, 60840185, 55136879, 22757081, 63070458, 13960251, 4605955, 40855158, 40106188, 51287163, 115376743, 29984501, 143281997, 52292132, 1825024, 95842259, 14229681, 17558543, 46833787, 4139590, 9811063, 121139006, 16813920, 77892940, 18333928, 14959481, 22598478, 85660278, 56882824, 23580742, 26723723, 36108440, 74514401, 49905013, 11997696, 59770225, 92351316, 22487531, 85820062, 7617318, 112612480, 26014536, 7980156, 17079301, 28922729, 74241463, 13802806, 7521437, 6691387, 14648640, 47555846, 12831060, 3461683, 33395442, 48164330, 561459, 28830461, 9199391, 11729070, 57316839, 8937545, 65080746, 26930517, 26179740, 3573302, 20588532, 17535400, 2218418, 105070792, 20106410, 19249411, 1842598, 629887, 24766906, 45077948, 36170586, 9750518, 47933954, 27011019, 35901352, 15850384, 103900077, 76524977, 20417441, 14558530, 15272083, 5232805, 37119810, 16019845, 90706319, 3962925, 2130690, 22447868, 42410573, 42464866, 15798931, 6358199, 14934828, 6373325, 12933874, 81377413, 43458299, 50978585, 37634151, 2587839, 18536420, 30217700, 14187457, 9219250, 24346444, 11442245, 39880510, 67476139, 15840429, 75288835, 112207669, 21819546, 9597562, 50354281 ], [ 155654907, 97085922, 53380503, 56508147, 25910147, 6279852, 54149084, 55032171, 47429823, 14650532, 19436251, 55136879, 8799657, 67585888, 50053741, 6264083, 18518610, 47546757, 31833927, 29461190, 27516842, 46042705, 54507159, 34088334, 8151623, 46559750, 26288973, 1304284, 4139590, 9811063, 39104559, 45632430, 30642989, 125462607, 14959481, 22598478, 31600162, 32919439, 14588219, 34063333, 104200019, 7658704, 37838831, 744442, 87299987, 5564078, 8870436, 56596407, 353801941, 147982748, 50308721, 18965667, 12789386, 67955405, 64904060, 13802806, 24442330, 7865970, 14648640, 58557296, 25179264, 22146385, 10979973, 48164330, 56354712, 98663173, 23660337, 11729070, 15253128, 8937545, 47738403, 6038789, 26179740, 10208989, 20588532, 67638576, 39107390, 25369199, 95255415, 19249411, 1842598, 629887, 24766906, 61282264, 8841244, 23136344, 13484818, 63306276, 35901352, 40672145, 242951773, 86055727, 2952376, 19222845, 60854711, 5229812, 44055985, 15323433, 91533590, 32328827, 36419203, 22153127, 64410245, 2842731, 18629613, 150049881, 40607043, 14063028, 11775301, 11300282, 8198026, 184453768, 103804387, 23255725, 95459291, 801913, 14187457, 116940943, 3527865, 51565532, 7440492, 65489594, 85358323, 12797032, 56094515, 43081569, 13317741, 70753488 ], [ 48319627, 97085922, 91521943, 205797377, 105388083, 7829423, 52599189, 130453420, 247130710, 150264207, 5978380, 12932150, 71615469, 67585888, 57273016, 88603212, 36506881, 113479679, 171115041, 86361315, 217159954, 36293058, 54507159, 34088334, 170032352, 169774264, 94699515, 13627799, 36979083, 9811063, 9385158, 45632430, 130629805, 19490018, 9919743, 22598478, 76491182, 74678189, 14588219, 87356269, 133356784, 7658704, 98787651, 22668122, 133742479, 119754455, 8870436, 145062040, 100552380, 85786520, 26014536, 72386568, 131837467, 28863318, 98129014, 13802806, 69399563, 41670839, 14648640, 99788052, 207376453, 44342411, 155911357, 15008321, 849207, 23458859, 32432713, 129248877, 50904871, 11128502, 357943203, 113682981, 26179740, 12467909, 263172460, 116247650, 92099294, 10226322, 19353368, 186873514, 183074618, 178717759, 11326930, 94155543, 140798236, 16970109, 269543137, 127237482, 121733072, 30310893, 4822408, 7492623, 30136489, 108569573, 264493512, 75897377, 145939925, 43573138, 205787240, 81208466, 310943816, 22447868, 64410245, 2842731, 34387799, 150049881, 160122026, 36468671, 35164341, 98398162, 31533926, 152283894, 45877217, 101843905, 96336729, 77874438, 14187457, 134744943, 24346444, 51565532, 32182005, 176893382, 6464083, 78707398, 42307385, 346383693, 57156642, 158189237 ], [ 24568957, 97085922, 91521943, 36890775, 12421527, 9736156, 54149084, 24077093, 47429823, 36731599, 83669540, 40028156, 22757081, 75666424, 57273016, 49749117, 18518610, 10053466, 51287163, 4232997, 29984501, 104300478, 54507159, 1825024, 8151623, 12564057, 142319808, 46274253, 4139590, 9811063, 145809542, 45632430, 1728503, 19490018, 9919743, 1927877, 15621698, 35071198, 108183414, 26723723, 36108440, 20626504, 49905013, 22283651, 31420656, 109407790, 25188003, 56596407, 234880333, 15598921, 4981553, 7980156, 12789386, 28863318, 74241463, 13802806, 62455482, 57345974, 14648640, 121065866, 42308253, 42076045, 10055390, 48164330, 25872681, 23458859, 23660337, 11729070, 18177324, 8937545, 89145547, 104282797, 26179740, 10208989, 20588532, 74823777, 23737771, 4232416, 19353368, 19249411, 1842598, 629887, 24766906, 11947320, 109913623, 16970109, 74075798, 98891223, 192831500, 55132850, 28854300, 7492623, 2952376, 19222845, 24543690, 7309488, 78085308, 43573138, 114793140, 3494053, 31347793, 22447868, 64410245, 51432934, 21421623, 45189268, 3435798, 95745442, 12933874, 98398162, 49678368, 152283894, 108892514, 23255725, 96336729, 6610407, 14187457, 72742803, 1231057, 20039741, 32182005, 76350134, 6464083, 78707398, 13091218, 5489885, 54663602, 14631456 ], [ 48319627, 56300696, 113505080, 311917730, 125013236, 7829423, 138825044, 30812958, 8482308, 69172837, 151853792, 15642840, 71615469, 53170915, 57273016, 222403708, 20561983, 40467529, 211990373, 99233429, 17088587, 391449519, 54507159, 22324256, 4836413, 42283271, 40609671, 109373273, 36979083, 9811063, 50069238, 94730687, 168067667, 317132300, 9919743, 22598478, 140274632, 90589342, 182399285, 59228297, 288342477, 7658704, 49905013, 124972417, 141293504, 181581527, 46963576, 5528881, 16728104, 40251806, 26014536, 87331021, 174860445, 49539256, 74241463, 13802806, 162803235, 71019915, 14648640, 182079177, 225383928, 97305873, 97699157, 48164330, 601489572, 137077539, 246695084, 104706895, 213921576, 11128502, 65080746, 220884734, 26179740, 271588868, 331567153, 54084175, 100297601, 129876781, 95255415, 82985260, 60918354, 48006655, 24766906, 94155543, 94396060, 23136344, 143989921, 91582484, 48669013, 73828439, 1357031, 7492623, 172768206, 64717176, 24967473, 7764742, 240528000, 43573138, 163625834, 57972413, 355532756, 22447868, 38356218, 2842731, 167039631, 35353780, 52774061, 130065497, 35164341, 48503409, 8198026, 152283894, 108892514, 117934233, 296874181, 63601549, 14187457, 92925563, 706043, 51565532, 181440156, 67476139, 142662399, 78707398, 30451111, 1832243, 50977597, 82023210 ], [ 6411941, 22704961, 40672129, 51594079, 125013236, 7829423, 29744760, 10728620, 29126155, 43540580, 66457130, 1616244, 36215678, 97544519, 94244037, 24581982, 6442843, 40106188, 21654249, 126056959, 8585098, 24691208, 54507159, 61047693, 1830157, 47168326, 46545743, 8874972, 4139590, 1185873, 50069238, 19256234, 168067667, 6952233, 9919743, 31648323, 13928520, 90589342, 23580742, 92859541, 11081450, 74514401, 6257264, 22668122, 28641480, 3379781, 3890878, 56686368, 2724199, 41505720, 281338717, 10030682, 141616975, 15889489, 23663798, 1166550, 42397331, 6691387, 14648640, 32940326, 33028130, 8852743, 29744096, 48164330, 25872681, 65929704, 58716158, 101428295, 1713226, 11128502, 22308748, 104722467, 14280383, 60270550, 42018138, 29936313, 48474797, 4232416, 95255415, 19249411, 225823557, 62761884, 24766906, 125059964, 32908317, 23974405, 49670560, 39334944, 62827557, 30310893, 191962791, 7492623, 30136489, 19222845, 64562711, 65146730, 29534767, 43184542, 39429533, 13660716, 105816841, 22447868, 12046729, 43947509, 97877492, 62763022, 30097089, 43313435, 105356787, 9472039, 31533926, 103931343, 6341216, 101843905, 163229229, 3632897, 14187457, 9219250, 24346444, 83135938, 39880510, 256105025, 142662399, 4241466, 24476996, 121850242, 33579362, 46835336 ], [ 237245135, 13104640, 53380503, 100302753, 25910147, 14627835, 222555175, 183902324, 65730728, 71013518, 14369936, 1616244, 25226926, 75666424, 98151237, 176231406, 123300023, 172427112, 2576077, 72920881, 22169956, 118009155, 54507159, 27454299, 79409986, 43176167, 56816461, 8874972, 4139590, 21147669, 17851763, 41544785, 30480996, 27354116, 9919743, 22598478, 173890792, 13555557, 42945998, 92859541, 158979063, 14261, 98787651, 124972417, 24402478, 181581527, 182430517, 2257890, 24450488, 80039414, 269522748, 36602426, 17079301, 30969210, 47110452, 29246001, 82126738, 8221730, 124904077, 58557296, 189633625, 124557456, 70385091, 41379756, 21223115, 23458859, 1604517, 5224622, 163030879, 11128502, 415249929, 26930517, 170650484, 60270550, 72966863, 42258798, 304789851, 171943537, 98015096, 19249411, 1842598, 62761884, 66668901, 46075800, 202734682, 5539098, 73989900, 77803659, 81221332, 136403541, 2608204, 7492623, 96827506, 19222845, 107740441, 99397760, 113461032, 33673721, 20855533, 11632480, 207472463, 6227883, 12279330, 604917, 12463197, 68175361, 47583747, 43313435, 172434707, 142381703, 62345459, 152283894, 78948321, 101843905, 88138403, 3632897, 64456563, 9219250, 56693518, 51565532, 10094996, 67476139, 37426293, 76804661, 189640022, 49757387, 9597562, 70753488 ], [ 24568957, 73957937, 6486315, 14331210, 136245013, 7829423, 9546680, 41655514, 54262282, 37807076, 33741451, 12932150, 16948464, 63070458, 43334490, 117797821, 76141940, 70989412, 15796541, 28941804, 33215191, 64082923, 7097485, 40505390, 101437440, 3571107, 29076309, 32468058, 10837950, 9811063, 10664767, 30479417, 6963277, 6952233, 9919743, 22598478, 27137660, 2362921, 123466888, 61260240, 75449925, 108270510, 4528959, 22668122, 58374260, 5564078, 3845291, 2257890, 136903932, 52133795, 74953070, 10030682, 120989995, 49755262, 26888288, 13802806, 42397331, 122364994, 18467388, 21392781, 10323125, 8852743, 106071781, 72803949, 52931161, 51402350, 9199391, 11729070, 43546786, 8937545, 1927362, 30482599, 22043177, 97447020, 11061698, 115006238, 48982349, 62078491, 23137451, 1081391, 34159485, 99339, 94404941, 14042875, 4667868, 33595047, 19027056, 34969278, 69036259, 19593982, 7903880, 7492623, 23401976, 19222845, 20286424, 14346587, 26290681, 43573138, 104049793, 72888543, 31953348, 9498304, 21893811, 43947509, 1504422, 4696912, 33511350, 50434978, 19229168, 23948362, 31216632, 41801001, 4268130, 16034825, 186834021, 3632897, 8289124, 1529333, 24346444, 11520981, 7805551, 66197190, 5232918, 81277898, 73523871, 4957152, 39011870, 20795764 ], [ 68884442, 40818761, 16535260, 51594079, 68797297, 95729574, 22595635, 18605940, 11568794, 87183138, 19436251, 12932150, 12711568, 131844808, 4724026, 4605955, 39806936, 26721496, 5524917, 115376743, 59161984, 27762995, 16621108, 34088334, 25635310, 23604150, 19916619, 18140653, 8717402, 21147669, 18277216, 19256234, 30480996, 1422517, 8052499, 93079440, 47044212, 2771111, 3926926, 7122117, 2350051, 29663867, 4528959, 6562768, 57368460, 129709218, 3890878, 62898838, 27658597, 6903091, 76727798, 10030682, 51836936, 21139736, 5467318, 19659456, 18506544, 30249778, 13817472, 28456691, 43117440, 8852743, 33261372, 4081438, 42556680, 30384576, 109657830, 403912, 66162324, 11128502, 22308748, 6038789, 29657818, 27993465, 20588532, 8928777, 15393276, 25369199, 2480636, 63816841, 1842598, 18804473, 6244249, 57259835, 64355996, 23136344, 34081857, 63306276, 57137337, 1450932, 7930637, 58061729, 20286730, 19222845, 15727200, 14346587, 1851798, 21423627, 3522355, 6267468, 38867257, 15181059, 42410573, 43947509, 22069770, 30180049, 14934828, 1634069, 11775301, 29698350, 43644912, 11790340, 13104997, 42725679, 84208662, 3632897, 4778538, 116940943, 42265976, 12372336, 7440492, 37823168, 15840429, 17454495, 11770568, 69491352, 71769766, 48756787 ], [ 56408577, 12894024, 761466, 30637130, 136245013, 7829423, 81223123, 281574122, 47429823, 43540580, 239631175, 12932150, 71615469, 50983761, 99127471, 63370014, 206066800, 25228228, 254847097, 22157281, 29984501, 251142170, 54507159, 34088334, 101437440, 47168326, 233381298, 46274253, 4139590, 21147669, 17851763, 14104276, 52355039, 84511049, 9919743, 289006377, 85660278, 251614192, 178346037, 92859541, 188043164, 91359392, 98787651, 93323456, 215384537, 181581527, 46963576, 145062040, 191541003, 223778508, 1215323, 490081310, 17079301, 126181351, 74241463, 34775875, 141092434, 195371164, 66967279, 136250333, 563354064, 163526627, 33395442, 83921049, 204045644, 35065222, 110304335, 20876282, 313567586, 11128502, 65080746, 26930517, 14400624, 60270550, 20588532, 116247650, 86724576, 185524520, 98015096, 1081391, 260063409, 159166715, 24766906, 30198250, 358267096, 23136344, 414957102, 10302683, 69036259, 1586059, 119485024, 7492623, 355907726, 59547034, 107740441, 5232805, 5674697, 3240417, 272014843, 9350717, 34106062, 9498304, 64410245, 315305149, 23382202, 4696912, 413833681, 43313435, 2458123, 8246687, 31216632, 141364771, 19988451, 101843905, 240354627, 2138343, 123359600, 9219250, 56693518, 83135938, 227544773, 41317469, 85358323, 193827111, 30813242, 2330188, 9597562, 59881781 ], [ 174162059, 83349946, 49482088, 57663726, 136245013, 7829423, 4468770, 130453420, 90495852, 14945151, 151853792, 28429720, 18303556, 3626888, 14425328, 64744781, 35635354, 72198718, 29159332, 43979584, 69861726, 32090228, 48133062, 34088334, 101437440, 65192324, 16674892, 46274253, 4139590, 9811063, 3901026, 186773530, 34376362, 1782654, 29515582, 29029864, 22803607, 122231262, 134092666, 61670470, 80612610, 10259202, 16118041, 52801849, 51032733, 181581527, 11657435, 145062040, 61477754, 40548519, 26014536, 87331021, 3002864, 49649876, 2219404, 13802806, 34292350, 6044690, 14648640, 16330527, 43176819, 145633933, 105140044, 48164330, 28367226, 8717758, 40681939, 12512447, 90886411, 11128502, 28666365, 73698525, 26179740, 60270550, 8301896, 67053694, 39663821, 2722352, 95255415, 19249411, 55300683, 2345026, 11914058, 26791723, 94396060, 23136344, 9650165, 71012109, 9069193, 73828439, 1357031, 31693586, 26998583, 41413921, 15727200, 5229812, 44055985, 43573138, 45110421, 65045025, 2278521, 22447868, 64410245, 132992065, 137695793, 60881301, 12047128, 18029310, 2196629, 94194490, 26152720, 201496898, 3314149, 3457816, 54283146, 1778507, 14187457, 92925563, 17594592, 7574241, 65250478, 18566907, 85358323, 39389127, 104069106, 71168227, 54663602, 18638229 ], [ 133767379, 177632372, 91521943, 74511019, 22315045, 7829423, 81223123, 24077093, 219093730, 220252659, 127200058, 28429720, 24388200, 61206658, 49382248, 3655378, 18518610, 35103738, 51287163, 138673085, 29984501, 32090228, 54507159, 29415408, 8151623, 23604150, 10138301, 46274253, 4139590, 9811063, 32318278, 9752379, 176707072, 15607790, 9919743, 82289346, 15948992, 91320534, 131021875, 15812072, 73803593, 124550739, 16118041, 1795485, 23745469, 92138996, 137370384, 33600193, 162905954, 85786520, 26014536, 38680821, 3002864, 52772735, 98129014, 13802806, 3093796, 46697041, 14648640, 95374567, 64474081, 140047832, 33395442, 47980771, 17242752, 9567324, 21391944, 20876282, 36603489, 11128502, 28666365, 6038789, 2585693, 11467229, 56193605, 25844457, 255037355, 2722352, 5965014, 1081391, 5989126, 46666547, 201517103, 23507974, 25004317, 23974405, 30043150, 125142389, 69036259, 73828439, 1357031, 7492623, 8702321, 19222845, 62289908, 69875797, 67706453, 15323433, 16667125, 200309843, 3152789, 9498304, 48659214, 132992065, 30339748, 4696912, 160122026, 18029310, 11254045, 28840007, 26152720, 18245555, 3314149, 31420260, 107114597, 226901, 14187457, 92925563, 24346444, 23195134, 87973016, 124192045, 2419498, 4241466, 127606350, 86094549, 54663602, 18168930 ], [ 136706325, 22733343, 74388759, 7133241, 33277103, 7829423, 36113483, 1663403, 30499641, 21748506, 23414985, 17092852, 71615469, 18688044, 4001493, 106614122, 926788, 10053466, 51287163, 19111562, 29984501, 46042705, 52292132, 34088334, 21907588, 455495, 17558543, 46274253, 4139590, 9811063, 41359408, 33048609, 47168829, 44798675, 9919743, 26992503, 28888652, 73676270, 33595903, 36700884, 50211574, 8268684, 876555, 6081311, 36889982, 21750994, 926184, 59537697, 77555298, 40548519, 26014536, 70601300, 47589363, 157335586, 17366602, 13802806, 160075661, 62685402, 14648640, 1753138, 68185028, 14657126, 11507074, 12293544, 189214701, 137077539, 107754139, 20876282, 17313515, 11128502, 27213168, 19553834, 26179740, 60270550, 20588532, 57369401, 26203196, 46560242, 95255415, 9740394, 67808435, 155221581, 5999447, 96946314, 105321947, 23136344, 42278587, 23820794, 52984891, 282976, 13438897, 7492623, 8702321, 19222845, 97838497, 26346947, 48078858, 15323433, 109023707, 32328827, 94151193, 22447868, 17693913, 132992065, 72897046, 58271000, 26186589, 43313435, 45380486, 914881, 31533926, 16284884, 1250663, 27338720, 111996772, 44325341, 14187457, 9219250, 19570202, 83135938, 91619321, 10996978, 50021173, 32373667, 24740818, 1832243, 54663602, 29288678 ], [ 24175356, 25627318, 20551867, 120929482, 57784516, 7829423, 3430408, 160607, 31816588, 38066330, 19971613, 28429720, 20820311, 7569640, 82691050, 106614122, 35635354, 95461365, 36161704, 22157281, 17088587, 32090228, 45201766, 8851008, 4836413, 743433, 113372707, 19528142, 4139590, 21147669, 2834744, 9752379, 5807442, 42594670, 9919743, 22598478, 40104047, 78204615, 46313875, 49588790, 11142073, 6511714, 31573726, 31498261, 51032733, 8738751, 4572319, 98140387, 61477754, 3728851, 26014536, 74487567, 3002864, 21778984, 18496118, 34775875, 84948317, 44386894, 11163758, 6610976, 36290730, 117914364, 33395442, 12197004, 85769507, 9567324, 40681939, 20876282, 90886411, 11128502, 1927362, 110631112, 27307485, 60270550, 56193605, 67053694, 26633138, 2722352, 29617518, 1468693, 5989126, 129558887, 40525522, 4420550, 94396060, 139170297, 9650165, 34969278, 42527030, 5080235, 1357031, 7492623, 59814013, 41413921, 15272083, 5232805, 62058692, 43573138, 45110421, 108719439, 30815442, 20441678, 64410245, 201299699, 130126005, 67723193, 52774061, 18029310, 26093144, 63167648, 26152720, 113009671, 3314149, 31420260, 19785035, 37966319, 60428375, 9219250, 91965622, 23195134, 65250478, 3056793, 48791520, 32373667, 175513160, 1832243, 13486249, 41313697 ], [ 91375704, 73957937, 20675186, 130307063, 85942482, 7829423, 42310943, 281574122, 94030925, 160907116, 30421189, 20146360, 24388200, 19170202, 35881504, 92801453, 193174726, 148363555, 42310155, 29611179, 10773009, 204617165, 54507159, 29415408, 79533238, 30645138, 6959641, 43962313, 39718218, 21147669, 32318278, 202654045, 29973563, 528225, 9919743, 98801836, 26161693, 271151749, 139768675, 108989567, 80612610, 127431486, 49905013, 30836415, 51032733, 67108161, 107288621, 127497359, 83787611, 43741075, 26014536, 38680821, 103319943, 77487519, 92668576, 28456575, 24442330, 6044690, 14648640, 18374899, 121414083, 163526627, 41935063, 48164330, 28367226, 138530312, 40681939, 20876282, 174174712, 11128502, 47738403, 134418637, 86293209, 11467229, 20588532, 93630238, 73825580, 319029281, 95255415, 33445624, 120968890, 156045941, 11914058, 147752650, 32908317, 546344, 143989921, 34969278, 97657349, 73828439, 1357031, 7492623, 26998583, 19222845, 55887444, 62454713, 153710891, 43573138, 92652638, 108206347, 32241125, 259736806, 28988918, 12439658, 19451382, 21436149, 14861593, 98337037, 2196629, 4752265, 26595740, 152283894, 12638436, 3457816, 67189565, 1778507, 14187457, 92925563, 162226585, 42452573, 90197879, 18566907, 85358323, 4241466, 88179616, 1832243, 50635892, 18723234 ], [ 174162059, 88784535, 82475550, 27899268, 93824599, 7829423, 81207248, 24065146, 33453096, 60470620, 1373312, 45643335, 71615469, 18894141, 36592941, 59170089, 18518610, 184980377, 387799, 745633, 1087148, 80782010, 21327067, 34088334, 8151623, 89777462, 7304708, 25215981, 18531015, 6847388, 71489327, 85414496, 2610210, 41186532, 9919743, 6019223, 40570728, 90582837, 15322229, 37153598, 54546154, 158962841, 374018, 67666308, 51032733, 11684360, 42579567, 68442255, 111660739, 41380616, 68774826, 87331021, 12789386, 67955405, 4026334, 10654555, 17628513, 14301278, 31180047, 69875236, 35213388, 73813420, 166247101, 173936168, 59929893, 8767110, 70797506, 20876282, 50326426, 11128502, 65080746, 104722467, 26179740, 79234903, 28568245, 111852234, 3888861, 118338939, 81839146, 19356788, 85742346, 77870115, 73106493, 45077948, 61016156, 23136344, 4519966, 143590005, 25634552, 12107311, 96930807, 7492623, 201556034, 19222845, 97838497, 5229812, 47946239, 43573138, 42197239, 48566027, 12257796, 6227883, 64410245, 18143679, 59129927, 70454625, 1030147, 139454658, 35164341, 79165971, 26874402, 42708721, 45902691, 24390536, 54283146, 77874438, 14935790, 55204075, 24346444, 51565532, 15166187, 67476139, 85358323, 3201161, 44483851, 32530706, 39011870, 64625230 ], [ 73278332, 25627318, 20551867, 52262630, 125013236, 29709941, 81223123, 232785466, 47429823, 64903770, 22629165, 39166766, 13372239, 75666424, 57273016, 92801453, 35635354, 1320109, 23948701, 75530638, 14547668, 32090228, 54507159, 8851008, 101437440, 743433, 16674892, 25215981, 15008200, 17320943, 32318278, 70712698, 48506485, 19490018, 9919743, 22598478, 62666360, 62004425, 9985536, 109689335, 85422202, 124550739, 54821613, 53333722, 39853586, 10914927, 8899107, 28538266, 84387194, 85786520, 26014536, 7980156, 161036725, 67955405, 1314880, 86751626, 151114251, 6044690, 182997948, 17090967, 2470016, 163526627, 33395442, 40389028, 745699, 4770883, 49730372, 20876282, 90886411, 11128502, 126676667, 63457982, 2585693, 11467229, 55101405, 353772556, 58758370, 2722352, 76316761, 1468693, 11279915, 6306853, 24766906, 147752650, 169051099, 23136344, 71541590, 99141108, 71428134, 18304533, 28854300, 5193768, 34613379, 19222845, 67678000, 5229812, 88626957, 43573138, 8006431, 285517422, 156622523, 6227883, 52718830, 5648562, 126609746, 91384017, 74078055, 18029310, 11254045, 61441019, 26152720, 18245555, 3314149, 75222315, 174743620, 13721683, 122363455, 9219250, 39902837, 20039741, 64591988, 67476139, 6464083, 32373667, 27102896, 41984020, 86532592, 18723234 ], [ 133471564, 83328899, 91521943, 92065302, 33277103, 7829423, 84559906, 269223761, 71474924, 6475993, 24963752, 74243328, 8799657, 86837586, 27208419, 31492154, 7619152, 113128695, 51287163, 57593823, 25159356, 18110608, 17237959, 34088334, 119982054, 46559750, 17558543, 29432266, 40907680, 21147669, 182484876, 118453873, 33744510, 123689752, 9919743, 62851778, 62666360, 11986853, 58347541, 36700884, 38375191, 21288678, 54049957, 124972417, 51032733, 149216992, 12536229, 24396631, 76526466, 85786520, 26014536, 114988231, 3002864, 233853823, 95105938, 86751626, 75770217, 7865970, 38478205, 37539156, 35055757, 173398000, 104240895, 79698621, 758187, 97534541, 6272103, 12512447, 111536318, 11128502, 47613840, 104722467, 104330210, 71016383, 20588532, 116247650, 69070333, 22464142, 145075117, 73752409, 160852422, 19213264, 73106493, 140116245, 100146968, 23136344, 30043150, 65859679, 20337306, 40272716, 7898527, 7492623, 8702321, 19222845, 3827781, 5229812, 222310897, 15323433, 45110421, 200396371, 45749314, 108468945, 64410245, 183799881, 165357810, 60881301, 146392488, 21571738, 20541419, 94194490, 31533926, 73509070, 1957091, 85561760, 22984477, 71561743, 82300461, 4263372, 39902837, 11520981, 245255593, 76350134, 35652117, 27892543, 175513160, 58481279, 107791753, 82023210 ], [ 11995225, 60078178, 40672129, 74511019, 136245013, 38081745, 98350183, 2963064, 47429823, 168223804, 74991215, 34518685, 71615469, 118472440, 23609316, 69899350, 18518610, 44778422, 51287163, 12230160, 29848094, 32090228, 1683951, 66690867, 8151623, 3571107, 103891994, 28192554, 16651970, 18419991, 145809542, 14104276, 57992471, 42594670, 7603521, 49566664, 121765211, 78204615, 23580742, 56452172, 38921735, 74514401, 52417572, 1795485, 39853586, 55750092, 46963576, 167973875, 18581982, 85786520, 2517725, 10030682, 3002864, 211551143, 54135249, 11735842, 17143545, 57345974, 29545950, 14786749, 39344140, 36557777, 43978709, 18982161, 88274678, 8767110, 4128064, 20876282, 50326426, 11128502, 53990024, 78772660, 2585693, 67507534, 42018138, 114667303, 69579074, 2722352, 3261094, 26225179, 278332413, 32684326, 24766906, 140116245, 25004317, 46440130, 53740540, 143590005, 93944980, 73828439, 75197876, 7492623, 53375586, 19222845, 160362089, 134790000, 9904138, 6371671, 45110421, 5557139, 395848923, 41200695, 64410245, 126236321, 13853996, 30180049, 102658799, 18029310, 122300293, 63829230, 26152720, 18245555, 3314149, 75222315, 112864324, 37751398, 90641682, 4263372, 29427409, 23195134, 20933357, 67476139, 85358323, 1277895, 175513160, 95588817, 77461456, 20795764 ], [ 115515769, 13262061, 91521943, 50682523, 36488411, 143782622, 81223123, 10938352, 47429823, 201254129, 975437, 74243328, 71615469, 131834188, 41138122, 110188697, 35635354, 35210160, 137040921, 25067792, 29984501, 240297733, 54507159, 16439853, 7184443, 455495, 58205030, 18660679, 85673659, 21147669, 43532684, 11282436, 130629805, 111678221, 9919743, 18914570, 62666360, 42386027, 50835184, 109689335, 188043164, 45530540, 49905013, 1795485, 39598691, 181581527, 46963576, 36484473, 58800322, 176925783, 26014536, 70627152, 24439858, 67955405, 74241463, 86751626, 29652311, 66324518, 13505037, 25490684, 35918504, 163526627, 33395442, 68440953, 82012261, 23458859, 110304335, 20876282, 23333317, 11128502, 22704879, 77618214, 20177265, 71016383, 137897006, 29962433, 142157452, 60945208, 159499413, 3400982, 70737589, 23948815, 24766906, 61282264, 25004317, 23136344, 9650165, 121374434, 165706506, 68004229, 90594670, 5193768, 112610509, 19222845, 102852382, 5229812, 157134313, 43573138, 6831786, 10080918, 129171126, 79870237, 48659214, 9771486, 30339748, 104883979, 106460031, 43313435, 35164341, 94194490, 43458299, 16284884, 32267617, 31023677, 9327904, 77874438, 3207842, 9219250, 26782976, 7707426, 96344910, 52548562, 85358323, 32373667, 88179616, 67233881, 42261887, 18723234 ], [ 73278332, 17953427, 40672129, 27899268, 129818506, 54353731, 108092179, 10728620, 11338106, 108374500, 11836062, 1616244, 16948464, 9331745, 57273016, 63288043, 35635354, 8235892, 69181573, 12230160, 69861726, 1032360, 7097485, 16439853, 15072477, 455495, 13545252, 39720231, 85673659, 6682535, 32318278, 16435608, 92420806, 42594670, 9919743, 18914570, 26161693, 78204615, 9985536, 5025457, 14648645, 7658704, 54049957, 124972417, 51032733, 11684360, 46963576, 145062040, 122927825, 9501210, 68774826, 7980156, 3002864, 49649876, 74241463, 97605119, 69399563, 116707246, 13505037, 19219834, 2470016, 163526627, 89451238, 79698621, 745699, 4770883, 131606927, 189847374, 23333317, 11128502, 27213168, 166078129, 17084767, 71016383, 56193605, 119394436, 142157452, 2722352, 28831332, 26225179, 45762368, 6306853, 24766906, 12424008, 36497374, 23136344, 18489523, 63061736, 55897584, 27153119, 90594670, 5193768, 77572742, 19222845, 107146911, 5229812, 26063013, 6823891, 45110421, 139996173, 31953348, 89718832, 12279330, 2842731, 79147676, 14337913, 159000088, 14139793, 35164341, 94194490, 68069330, 73509070, 17980645, 57967360, 112864324, 77874438, 122363455, 5300437, 39902837, 20039741, 65250478, 124192045, 42882095, 32373667, 88179616, 41984020, 28435575, 8385885 ], [ 174162059, 22733343, 85886391, 120929482, 60614589, 43184210, 81223123, 10938352, 9660230, 64903770, 119367130, 74243328, 16948464, 42278554, 60931390, 28962749, 35635354, 22672423, 207988099, 67435443, 1001123, 83754180, 7097485, 233575, 14533353, 65192324, 103891994, 46274253, 36979083, 9811063, 145809542, 125103410, 13192576, 42594670, 7603521, 3716372, 89979232, 78204615, 82979194, 56488454, 151956851, 124550739, 54049957, 14539178, 43287454, 26757336, 96557304, 25664267, 148131198, 85786520, 68774826, 120801518, 27066896, 104804112, 98129014, 13802806, 123460553, 224001120, 162203467, 1753138, 11937625, 35379752, 33395442, 57173112, 88274678, 23458859, 109768488, 20876282, 90886411, 11128502, 12919864, 220884734, 11976427, 11856924, 56193605, 197271005, 201401803, 2722352, 98889092, 26225179, 217943820, 19213264, 23898966, 140116245, 33774110, 23136344, 49221285, 143590005, 74453127, 103699759, 117082521, 222310276, 76512116, 19222845, 24516914, 5229812, 47946239, 6371671, 128831496, 81208466, 7479796, 22447868, 48659214, 41378547, 108013928, 10148911, 113204229, 135219500, 96387823, 92632129, 31533926, 51084713, 34900327, 59317702, 54283146, 56581478, 3207842, 181695720, 24346444, 14662834, 20933357, 52548562, 12464317, 75288835, 1867846, 132466882, 104040177, 18723234 ], [ 133926305, 18208477, 82630026, 13435242, 136245013, 7829423, 81223123, 53339978, 25044537, 21748506, 23414985, 39322931, 71615469, 37775074, 42826747, 93140238, 23764043, 1320109, 5938494, 15412135, 29984501, 59986610, 23508368, 34088334, 21710163, 455495, 1423423, 46274253, 4139590, 9811063, 65435663, 26870932, 57992471, 15607790, 9919743, 22598478, 64450906, 56882824, 17080176, 23987576, 77659118, 8268684, 56627726, 744442, 23305849, 76879704, 96064311, 5528881, 106526601, 40548519, 26014536, 49228694, 47589363, 27442950, 90136490, 13802806, 29652311, 6044690, 14648640, 59865444, 18907541, 93162303, 33395442, 22228517, 14845455, 23458859, 15992022, 313465, 15266253, 11128502, 27213168, 77618214, 26179740, 60270550, 56193605, 67053694, 39107390, 2722352, 19353368, 19249411, 23769902, 76810185, 66229168, 57335975, 44399837, 7244825, 71982284, 13271451, 17291259, 43076009, 75197876, 7492623, 29338054, 19222845, 60854711, 10145915, 8808296, 16829863, 104713575, 6497371, 24852577, 6227883, 17693913, 28666453, 36468319, 5914284, 16100879, 61759250, 105242909, 25731143, 31533926, 16284884, 103804387, 36216092, 7083149, 77874438, 14187457, 134744943, 24346444, 23195134, 32182005, 13824096, 50707289, 32373667, 83718042, 1832243, 15385524, 18723234 ], [ 18143714, 56680051, 74388759, 27899268, 33277103, 7829423, 81223123, 10728620, 47429823, 88949624, 119367130, 47126856, 71615469, 51991602, 292985651, 120030736, 35635354, 58757971, 59459752, 12230160, 29984501, 134679717, 54507159, 16439853, 142821452, 47168326, 10281903, 9297054, 4139590, 21147669, 104329566, 14104276, 130629805, 142416098, 9919743, 18914570, 140274632, 69478686, 23580742, 109689335, 125121146, 43660045, 54049957, 124972417, 51032733, 11684360, 46963576, 276027379, 92826717, 56346379, 26014536, 87331021, 2674843, 52772735, 74241463, 86751626, 55492492, 26083446, 14648640, 27035160, 64474081, 51921857, 33395442, 48164330, 17242752, 17474196, 89884982, 53716457, 344831290, 11128502, 93913472, 131878093, 14400624, 60270550, 223825890, 9022882, 31227025, 58399080, 10845223, 19249411, 49030490, 46523739, 24766906, 23507974, 100146968, 23974405, 122076125, 61818259, 79455945, 73828439, 119485024, 5193768, 8702321, 19222845, 166471563, 5232805, 26063013, 15323433, 45110421, 91173177, 207472463, 19746634, 48659214, 44385067, 79147676, 58838564, 159000088, 43313435, 35164341, 110907431, 31533926, 51741633, 82416608, 31420260, 21042131, 26406378, 14187457, 9219250, 162226585, 83135938, 113865562, 67476139, 42882095, 39389127, 175513160, 67233881, 39011870, 41313697 ], [ 82816544, 1475812, 43139594, 31174142, 136245013, 753563, 157367015, 92093921, 11338106, 16677736, 53738032, 74243328, 10962078, 75666424, 57273016, 256542786, 70829247, 148363555, 54313534, 61460435, 58345481, 80782010, 54507159, 34088334, 131671182, 69638610, 230950448, 61359642, 36979083, 9811063, 90105736, 29057547, 92420806, 103716003, 9919743, 22598478, 154444328, 904925, 9985536, 194479144, 88913394, 124550739, 71422160, 124972417, 127645131, 5564078, 96064311, 11190101, 103310572, 52133795, 26014536, 30257612, 87034032, 37635859, 36856982, 13802806, 179471924, 35165228, 177356704, 47555846, 35213388, 104662826, 91529355, 114673772, 139294386, 4770883, 119687686, 96786494, 136008579, 11128502, 305055367, 120495860, 592084, 28730007, 105449809, 116247650, 48982349, 62078491, 169109617, 31060584, 63506446, 19618925, 385054738, 93680837, 8841244, 23136344, 47933954, 143590005, 203723174, 73828439, 157498522, 7492623, 13389801, 19222845, 753970, 5229812, 49803073, 20557549, 272014843, 33813447, 11773649, 22447868, 22173503, 132992065, 154821845, 150049881, 1030147, 199328976, 4065184, 63829230, 31533926, 152283894, 17980645, 194919342, 43036461, 77874438, 82300461, 255107228, 24346444, 7377805, 7805551, 277962867, 114269284, 27472151, 11770568, 144915952, 91047311, 8385885 ], [ 73278332, 39301225, 91521943, 53684186, 136245013, 7829423, 5481880, 10938352, 201741629, 71013518, 23414985, 50368910, 71615469, 10608818, 57273016, 24402068, 10769780, 28824799, 14248063, 12230160, 29984501, 46042705, 54507159, 16439853, 14533353, 455495, 13003503, 46274253, 4139590, 9811063, 90105736, 6808267, 130629805, 19490018, 9919743, 18914570, 52868871, 941774, 70368511, 26723723, 36108440, 13424672, 54049957, 70938584, 39598691, 21750994, 4572319, 11190101, 146313661, 85786520, 4981553, 38680821, 31024540, 67955405, 98129014, 13802806, 61502600, 500064, 14648640, 14786749, 18907541, 32882491, 33395442, 7969807, 72999968, 23458859, 109768488, 12512447, 3270278, 11128502, 1927362, 103122137, 26179740, 3573302, 33384915, 40696534, 26203196, 74305015, 52479638, 19249411, 76332171, 28654178, 205135835, 152145799, 6192862, 23136344, 4519966, 143590005, 16318277, 40272716, 28854300, 7492623, 56619802, 19222845, 15727200, 5229812, 89250547, 11293016, 119786801, 32328827, 167889301, 22447868, 56306782, 132992065, 29603894, 5937249, 46887196, 21571738, 35164341, 3015653, 31533926, 16284884, 46975712, 24390536, 41831832, 77874438, 14187457, 4263372, 24346444, 66898916, 1819671, 10776114, 6464083, 4241466, 78854301, 123861934, 7087443, 18723234 ], [ 52978092, 25627318, 91521943, 311917730, 25910147, 7829423, 40798206, 10938352, 201741629, 124280767, 975437, 74243328, 12314644, 59370111, 8546973, 41364418, 105901672, 35103738, 206947367, 268121833, 69861726, 97165148, 54507159, 167079541, 31517016, 82412900, 133758735, 18660679, 36979083, 9811063, 216228118, 70712698, 130629805, 19490018, 9919743, 180270267, 28206469, 39566957, 82979194, 109689335, 25435369, 13424672, 49905013, 1795485, 239972320, 54717488, 22487531, 262047619, 75653504, 148316151, 27794976, 87331021, 60673092, 221539503, 98129014, 13802806, 179471924, 71019915, 14648640, 16330527, 13736690, 96510512, 166247101, 48164330, 100562508, 137077539, 131606927, 366775152, 94420609, 11128502, 96738077, 73698525, 26179740, 12467909, 17857116, 11263001, 287541250, 71500726, 95255415, 27824878, 144643058, 156045941, 4921097, 152145799, 25004317, 23974405, 61441404, 125142389, 149029918, 45315856, 28854300, 7492623, 80374169, 19222845, 25454829, 65866096, 5674697, 43573138, 110766261, 30702354, 207472463, 22447868, 64410245, 107804373, 18629613, 115952878, 46887196, 43313435, 118933817, 26274145, 49793696, 16284884, 1250663, 212933282, 75790376, 77874438, 14187457, 9219250, 24346444, 94962878, 112368064, 67476139, 6464083, 67571402, 235304858, 92160008, 71912535, 158189237 ], [ 48319627, 31794376, 20675186, 25895277, 136245013, 7829423, 17837375, 281574122, 65730728, 14945151, 89253374, 28429720, 24388200, 19170202, 141797262, 201684345, 193818367, 58008113, 117100180, 96672537, 9367199, 46042705, 48133062, 29905141, 133084833, 43176167, 16674892, 8874972, 4139590, 21147669, 3901026, 67516099, 130629805, 187666223, 9919743, 97898242, 1758128, 4832556, 115994671, 194479144, 130175016, 39668587, 98787651, 124972417, 37029892, 181581527, 170764325, 5528881, 102949115, 147982748, 26014536, 86665551, 71696256, 49539256, 16043503, 36514051, 24442330, 195371164, 14648640, 16330527, 247052010, 145633933, 41935063, 48164330, 25872681, 114734156, 40681939, 87708302, 36603489, 11128502, 47738403, 6038789, 214073558, 10346753, 152810428, 109085950, 147311405, 2966291, 95255415, 19249411, 33229953, 124271638, 96843841, 26410859, 94396060, 23136344, 56588923, 46030612, 35901352, 111787129, 1357031, 7492623, 144311745, 182848468, 16769773, 5232805, 26063013, 43573138, 270928730, 32328827, 143508536, 1121340, 41300367, 12439658, 19451382, 246766272, 14861593, 54998635, 229540550, 63829230, 26595740, 152283894, 62702179, 127761169, 41599599, 313162, 14187457, 92925563, 141066030, 11520981, 43942944, 18566907, 87110961, 83705322, 104069106, 83112910, 54663602, 158189237 ], [ 69425260, 13262061, 20675186, 84825123, 13198595, 7829423, 17837375, 130453420, 11338106, 74611755, 71647099, 62195346, 3373001, 19170202, 745238, 36211315, 10769780, 131040742, 34562533, 8166328, 29984501, 155600792, 686139, 17249292, 71670348, 47168326, 30126758, 46274253, 4139590, 9811063, 3901026, 22200566, 45266669, 15607790, 72347838, 180270267, 140274632, 175444902, 30151807, 77947212, 44288010, 13424672, 163948363, 124972417, 1351015, 10151165, 46963576, 33600193, 104537074, 60223950, 26014536, 120801518, 51243350, 49755262, 16043503, 7498357, 71048351, 36212370, 11163758, 15659086, 43648819, 86340799, 33395442, 165832066, 14519378, 42677988, 110304335, 20876282, 36603489, 11128502, 93233130, 115550342, 15138821, 10346753, 105449809, 29962433, 33487550, 4232416, 25404180, 19249411, 231732760, 17411455, 24766906, 26410859, 43412957, 23136344, 44128039, 104530120, 99173926, 45315856, 61285244, 10150319, 9792450, 71380423, 34260289, 44700558, 29930575, 43573138, 235760165, 40347440, 55014005, 1121340, 22173503, 132992065, 69435816, 100841207, 46887196, 54216714, 35164341, 10207744, 31533926, 33582633, 46975712, 1225763, 41599599, 1662263, 123359600, 4263372, 24346444, 34438843, 7805551, 67476139, 85358323, 16510963, 57798446, 86094549, 54663602, 8385885 ], [ 20266926, 13262061, 91521943, 288292110, 22315045, 7829423, 29738778, 130453420, 44140979, 14650532, 24963752, 55136879, 71615469, 32614482, 57273016, 3655378, 35635354, 159964600, 61191946, 22157281, 1549220, 49902916, 17237959, 17249292, 261505813, 47168326, 13003503, 252460297, 23909840, 9811063, 32318278, 48525486, 130629805, 35690655, 9919743, 94715834, 71337910, 42117176, 58347541, 77947212, 44288010, 124550739, 49905013, 73242172, 51032733, 12349849, 46963576, 5528881, 109279682, 41380616, 202240317, 38680821, 8988401, 67955405, 62202479, 13802806, 23214292, 71019915, 14648640, 51691027, 68383519, 35379752, 33395442, 48164330, 1958271, 23458859, 131606927, 3934247, 25329720, 11128502, 65080746, 19653840, 26179740, 11856924, 33384915, 116247650, 51828927, 78875950, 7632166, 29091973, 37424775, 10158467, 23247404, 47497483, 32908317, 20754028, 11496746, 28151729, 21518661, 11347502, 710225, 7492623, 78426205, 19222845, 15727200, 5229812, 222310897, 43573138, 166048790, 81208466, 6496455, 15201803, 64410245, 9879396, 165357810, 36643396, 30586176, 21571738, 35164341, 94194490, 31533926, 152283894, 42207456, 67041191, 114183964, 1662263, 14187457, 143560, 24346444, 34438843, 45014761, 124192045, 142662399, 4241466, 57798446, 49757387, 128521710, 13783201 ], [ 174162059, 18208477, 91521943, 52262630, 1773737, 7829423, 41532827, 2963064, 47429823, 196980294, 23414985, 74243328, 12314644, 131834188, 33885826, 110188697, 10769780, 10053466, 48861320, 9908620, 29848094, 12324731, 41041671, 16439853, 8151623, 455495, 16674892, 46274253, 4139590, 9811063, 32318278, 247786119, 168067667, 123689752, 9919743, 18914570, 28888652, 94981046, 82979194, 101321538, 57871305, 105594232, 51323777, 1795485, 85409986, 54717488, 6855792, 5528881, 81479756, 60223950, 26014536, 25544877, 12789386, 28863318, 27549618, 13802806, 17628513, 57345974, 14648640, 17090967, 75983765, 97305873, 33395442, 48164330, 100562508, 23458859, 43635014, 20876282, 23333317, 11128502, 1077609, 104722467, 26179740, 60270550, 88323546, 72213290, 142157452, 153382927, 24397799, 19249411, 16103421, 23948815, 24766906, 45077948, 25004317, 23136344, 4519966, 125779475, 48669013, 73828439, 65775506, 7492623, 35881988, 4947472, 15272083, 35376341, 33051153, 35536884, 163430255, 14524063, 207472463, 22447868, 64410245, 28666453, 19614707, 134518649, 130163979, 43313435, 26093144, 101462419, 72355767, 34773427, 46975712, 14175538, 20138401, 77874438, 14187457, 4263372, 24346444, 83135938, 21759941, 81102825, 48791520, 32373667, 13669794, 1832243, 13486249, 18723234 ], [ 69425260, 94689334, 91521943, 50682523, 13198595, 7829423, 17837375, 10938352, 86166459, 119362638, 22697464, 61670490, 32943424, 131834188, 71184584, 248273892, 9235168, 35210160, 34562533, 138397362, 29984501, 3747843, 15907333, 66996834, 14533353, 16902891, 2806988, 13018025, 4139590, 21147669, 3901026, 14104276, 111944417, 81560002, 275308235, 75232070, 52465849, 11986853, 45843540, 57103513, 44288010, 13424672, 54049957, 1795485, 1351015, 57317810, 7166190, 142584450, 77373539, 100418557, 12082903, 132918258, 10411787, 21139736, 2219404, 30363827, 1681308, 26083446, 14648640, 108112636, 10077062, 24647788, 33395442, 48164330, 1958271, 23178414, 43635014, 87708302, 32021005, 11128502, 171545802, 24264615, 14400624, 60270550, 41709779, 29962433, 65833966, 60945208, 86746536, 1081391, 146401612, 26621193, 336018311, 66167271, 25004317, 23974405, 21296331, 134674203, 69036259, 45315856, 119485024, 120288385, 25832841, 19222845, 131320178, 5232805, 11187082, 43573138, 16667125, 14524063, 207298763, 9498304, 1328670, 63312001, 125055623, 4696912, 46887196, 16737181, 18376199, 12279171, 31216632, 141364771, 88655457, 132767123, 206773975, 77874438, 14187457, 5217714, 35186622, 56928241, 37613713, 3029782, 67065931, 33348846, 13669794, 142619239, 54663602, 1734627 ], [ 43866048, 22529708, 22508517, 52262630, 108146059, 95729574, 81223123, 160607, 57270587, 16677736, 24963752, 6234330, 47626277, 7569640, 57273016, 21736456, 35635354, 7811905, 29159332, 12230160, 29984501, 46042705, 17237959, 34088334, 15072477, 117016792, 2806988, 21223513, 15008200, 9811063, 32318278, 14104276, 37924836, 42594670, 9919743, 15893949, 122829624, 78204615, 240537181, 64448995, 19054310, 6511714, 31573726, 124972417, 7150152, 181581527, 132247272, 145062040, 51165859, 169784130, 26014536, 10030682, 3231374, 67955405, 98129014, 11735842, 179471924, 8221730, 14648640, 17090967, 27386591, 36211929, 11447161, 18645977, 81818204, 4429395, 131606927, 111273155, 97588612, 11128502, 41175903, 54768859, 14400624, 128782980, 207816422, 291023838, 31227025, 39444211, 10845223, 3675524, 45404420, 37150653, 81937005, 45077948, 26850711, 23136344, 32312309, 71012109, 47087107, 19593982, 69025116, 7492623, 40392646, 19222845, 27348934, 118169332, 47946239, 43573138, 201449692, 32328827, 103272145, 22447868, 48659214, 18175114, 30339748, 58838564, 40731865, 199328976, 11775402, 85577886, 168782422, 61523681, 108892514, 22056010, 54283146, 32704054, 14187457, 4263372, 24346444, 7574241, 51613150, 3056793, 43727282, 32373667, 26256355, 49757387, 39011870, 18723234 ], [ 50473785, 25627318, 20551867, 188306336, 40924872, 113923725, 143294559, 121500044, 57270587, 90046891, 90516248, 28429720, 13688128, 86837586, 100320827, 90122858, 31779127, 63752181, 29159332, 57593823, 93958359, 274339038, 54507159, 305734744, 25667255, 43176167, 7868675, 8874972, 4139590, 21147669, 108267654, 14104276, 113865684, 75366654, 9919743, 7793242, 26161693, 111646838, 123466888, 194479144, 44288010, 10259202, 6687197, 1795485, 51032733, 108704991, 89222079, 11190101, 12799855, 223778508, 26014536, 87331021, 305575384, 185003375, 2219404, 2284701, 75648262, 66324518, 219559419, 78611793, 61606123, 96510512, 10055390, 74046888, 100562508, 74830968, 40681939, 11729070, 172050652, 8937545, 109290438, 91986469, 14400624, 60270550, 198435522, 29962433, 31227025, 465502636, 3261094, 1081391, 77230410, 26621193, 78795499, 92119463, 25004317, 116731577, 71541590, 104721923, 69036259, 45315856, 1357031, 7492623, 80105262, 19222845, 53228453, 113269742, 37119810, 43573138, 23496044, 380149918, 112673462, 9498304, 42410573, 18175114, 165357810, 4696912, 46887196, 1634069, 12821873, 49044164, 26595740, 141364771, 1957091, 75305866, 88138403, 77874438, 82300461, 4263372, 38834453, 7574241, 32182005, 67476139, 45672793, 147496778, 78854301, 114652034, 50635892, 18723234 ], [ 299506776, 88784535, 91521943, 416002221, 125013236, 117181016, 41532827, 281574122, 47429823, 168223804, 151853792, 55136879, 435880839, 42278554, 57273016, 275520263, 36090254, 148363555, 207988099, 138673085, 500889888, 83754180, 54507159, 34088334, 32404941, 47168326, 70439458, 316605383, 85673659, 21147669, 82703023, 14104276, 13192576, 86439671, 22427269, 107832548, 140274632, 90589342, 472684334, 64448995, 110115520, 17280545, 49905013, 90408906, 51032733, 181581527, 46963576, 22641655, 212705378, 296675446, 26014536, 448836278, 45328380, 67955405, 74241463, 122424808, 17628513, 71019915, 232256592, 31897130, 416883383, 35379752, 230664241, 57173112, 37192174, 59628829, 131606927, 146382436, 63046026, 11128502, 84848552, 121976774, 14400624, 11856924, 223825890, 321921059, 142157452, 153382927, 48237347, 58059705, 77168434, 156045941, 24766906, 45077948, 86013145, 23136344, 131190754, 143590005, 277782462, 453430495, 119485024, 75033836, 78426205, 19222845, 131320178, 5229812, 129062354, 43573138, 18524312, 165188381, 140339137, 79870237, 64410245, 114835017, 108013928, 10148911, 159000088, 199328976, 35164341, 94194490, 220747007, 141364771, 193464164, 13069568, 52211992, 77874438, 123359600, 4263372, 39902837, 227634995, 177993574, 67476139, 87110961, 78707398, 175513160, 298087002, 39011870, 79081622 ], [ 24568957, 56680051, 52612789, 10836798, 136245013, 77426950, 13110491, 53339978, 55039002, 43240855, 151853792, 50368910, 16948464, 138500425, 54450694, 58803207, 35635354, 125722950, 137216955, 12290266, 29984501, 123739969, 7097485, 1809957, 336749015, 18166776, 54214717, 9297054, 33120409, 18419991, 145809542, 9444588, 47945120, 42594670, 9919743, 18914570, 246091138, 78204615, 82889921, 129555925, 11142073, 124550739, 62927217, 1120881, 40028627, 11684360, 30634869, 145062040, 17323077, 75118583, 26014536, 98461212, 7060369, 22115510, 37699805, 109596888, 63710292, 246322341, 14648640, 69877434, 287847679, 34875441, 7227485, 48164330, 28099212, 19596352, 131606927, 53716457, 10537457, 11128502, 224436269, 397454384, 52796492, 173435278, 99483347, 9022882, 64779473, 30659099, 80840877, 74278523, 197633367, 77870115, 73106493, 18018568, 4293020, 21343236, 154897329, 96991795, 223189329, 29302169, 63990665, 7492623, 167418463, 19222845, 3093115, 87440992, 47946239, 43573138, 42073316, 81208466, 31953348, 4092571, 60679527, 44385067, 156395278, 215482462, 112678011, 238510339, 9576787, 208282623, 31533926, 14097061, 48034659, 3457816, 45960035, 26406378, 14187457, 30194707, 92466726, 76308331, 72384762, 15816928, 17398100, 12797032, 30144140, 123861934, 104040177, 18723234 ], [ 24568957, 56680051, 40672129, 74511019, 57784516, 42561139, 53356002, 160607, 31558631, 43240855, 24963752, 40028156, 84520594, 15543686, 57273016, 24770995, 7619152, 10053466, 6150042, 60753753, 29984501, 175623624, 17237959, 29415408, 3411669, 47168326, 5164034, 9297054, 4139590, 21147669, 50911841, 55706483, 101833109, 7359661, 46408474, 116097973, 32677055, 48303051, 53354759, 37153598, 63158363, 6511714, 16118041, 24461868, 18334044, 109407790, 46963576, 23503598, 26619595, 41380616, 26014536, 6545535, 12789386, 67955405, 34066122, 10654555, 69399563, 6691387, 14648640, 77820875, 15452109, 89324451, 1273891, 48164330, 758187, 52959273, 54154884, 19618566, 15266253, 11128502, 70087315, 104282797, 43516538, 8095366, 89803198, 9022882, 29782913, 62078491, 9666022, 19249411, 51677034, 167155196, 24766906, 51937109, 36719452, 22740229, 4519966, 34969278, 10640570, 73828439, 119485024, 33766378, 47854487, 6362173, 20286424, 5232805, 46573169, 43573138, 64878928, 6497371, 45749314, 6227883, 64410245, 114835017, 52071018, 30180049, 134981758, 61759250, 12619580, 110907431, 17484418, 60319807, 8225760, 3457816, 7083149, 26406378, 14187457, 30172925, 30620228, 83135938, 67476658, 37227739, 85358323, 32373667, 88179616, 39202837, 51219211, 18723234 ], [ 133471564, 22733343, 26399766, 55428874, 33277103, 53865188, 149066583, 160607, 80612661, 64903770, 23414985, 54222242, 71615469, 43618328, 25245322, 37663183, 7619152, 10053466, 89264864, 25067792, 48046939, 83754180, 17237959, 16439853, 4155465, 455495, 103891994, 46274253, 36979083, 6847388, 41359408, 125103410, 108738737, 3631305, 7603521, 18914570, 28888652, 6682357, 110155120, 48807174, 112270271, 6511714, 731027, 744442, 51032733, 109407790, 46237443, 17228063, 148131198, 40548519, 25639580, 82219332, 3002864, 24637582, 34066122, 13802806, 151114251, 57345974, 64922988, 1753138, 64474081, 24673442, 57373094, 18171283, 758187, 34035772, 110304335, 313465, 15266253, 11128502, 27213168, 57092899, 26179740, 108333800, 20588532, 530850, 39107390, 2722352, 5564859, 26225179, 68919732, 46666547, 23898966, 17277866, 77254106, 7244825, 102608302, 96442218, 19474049, 55513661, 90594670, 7492623, 8702321, 19222845, 60290863, 203613190, 174061711, 6371671, 45110421, 6497371, 156870877, 22447868, 48659214, 41378547, 15798931, 5914284, 16100879, 61759250, 45380486, 133629150, 31533926, 61557958, 1250663, 188123559, 7083149, 71561743, 123359600, 35751832, 24346444, 23195134, 20933357, 68012621, 68831384, 283838471, 88179616, 58191293, 104040177, 18723234 ], [ 174162059, 97085922, 74388759, 74511019, 77868229, 7829423, 34444996, 132883907, 31816588, 111941412, 19436251, 74243328, 52601560, 250434223, 57273016, 23830562, 18518610, 10053466, 76057759, 25067792, 57071156, 65264688, 45201766, 34088334, 8151623, 455495, 49802944, 8874972, 4139590, 21147669, 182484876, 152021004, 37924836, 68445699, 9919743, 116645436, 27137660, 12448949, 217041723, 109689335, 168537455, 124550739, 98787651, 101918555, 51032733, 36007068, 22487531, 121024101, 102949115, 43741075, 2517725, 87331021, 12789386, 29830782, 47110452, 36940374, 31383503, 57345974, 14648640, 123626732, 64921445, 163526627, 11507074, 48164330, 224513435, 152204219, 113188502, 59442247, 23333317, 11128502, 27213168, 107498003, 104330210, 52015619, 20588532, 116247650, 142157452, 214823964, 16507881, 16519840, 92103718, 39596907, 24766906, 106211689, 228060825, 23136344, 4519966, 63306276, 16318277, 12571273, 90594670, 7492623, 82716240, 10578224, 163181181, 113269742, 47946239, 979604, 8006431, 91173177, 90727368, 54089013, 64410245, 117774170, 147264836, 77268489, 43058711, 43313435, 13086775, 208282623, 31533926, 51741633, 108892514, 24390536, 54283146, 77874438, 14187457, 9219250, 162226585, 83135938, 7440492, 39837215, 78387384, 353504775, 124456633, 70227902, 54663602, 41236674 ], [ 88543092, 83089782, 9024081, 15577089, 33277103, 7829423, 37243304, 87779152, 47429823, 69172837, 151853792, 55136879, 71615469, 181915169, 71027825, 55444303, 21521887, 78537317, 51287163, 115015489, 17088587, 147743638, 8788196, 34088334, 4836413, 43176167, 56094412, 14278460, 4139590, 9811063, 50069238, 55706483, 168067667, 90961544, 9919743, 75068748, 19914959, 57957112, 23174927, 101321538, 42147465, 19494935, 49905013, 78004961, 24914202, 72681927, 46963576, 5528881, 106526601, 76439152, 2550892, 15485457, 153050277, 117349115, 62212096, 10654555, 31986973, 71019915, 14648640, 80393236, 37021976, 97305873, 56251152, 48164330, 101576473, 137077539, 103758793, 8461208, 344806712, 11128502, 40120666, 104722467, 26179740, 8095366, 20588532, 116247650, 142157452, 63155195, 29617518, 19249411, 95361257, 30477930, 24766906, 59358757, 44399837, 23136344, 143989921, 45723755, 35901352, 13109629, 77060382, 7492623, 8702321, 19222845, 15272083, 165881465, 39766765, 15323433, 86805432, 9350717, 59741997, 22447868, 64410245, 28666453, 19183191, 134518649, 52774061, 244188351, 20953012, 118739418, 19902972, 35646354, 1250663, 259420844, 54283146, 71561743, 14187457, 181695720, 23733196, 22317284, 78811485, 67476139, 124895335, 78707398, 88179616, 382988567, 54663602, 18723234 ], [ 73175978, 13342962, 91521943, 25895467, 136245013, 42600000, 81223123, 24077093, 183494654, 285353804, 109685293, 74243328, 71615469, 39131541, 57273016, 339890345, 20561983, 148363555, 211990373, 131129715, 29984501, 44102217, 54507159, 548401, 45738921, 117016792, 259526452, 31043805, 4139590, 9811063, 48350740, 85414496, 108507156, 238349808, 9919743, 107832548, 81816634, 55837967, 240537181, 26723723, 11142073, 39668587, 4309966, 124972417, 39853586, 25487878, 97950163, 145062040, 23078767, 92707767, 26014536, 12651377, 51243350, 67955405, 98129014, 13802806, 75770217, 35165228, 11163758, 358109461, 35213388, 163526627, 33395442, 16137169, 83133240, 137077539, 131606927, 12512447, 21364041, 11128502, 18298946, 35655366, 2585693, 60270550, 33384915, 601809056, 164224496, 6235430, 19353368, 19249411, 78255223, 218431121, 220491166, 14250187, 61016156, 23136344, 111613024, 13809574, 52984891, 73828439, 55353557, 7492623, 53375586, 19222845, 15727200, 5229812, 113461032, 43573138, 76418849, 32328827, 250550913, 22447868, 30257426, 132992065, 1445300, 14911725, 1030147, 21571738, 35164341, 94194490, 49678368, 18245555, 108892514, 75222315, 146138250, 77874438, 14187457, 85512092, 19888394, 30325361, 32182005, 21215426, 120298825, 12931856, 33164084, 166270172, 54663602, 158189237 ], [ 224415304, 13262061, 91521943, 47524355, 136245013, 7829423, 40798206, 10728620, 174879075, 11624023, 23414985, 7903368, 8019672, 52978469, 41806433, 130913996, 18518610, 46687526, 81919201, 25067792, 69861726, 46042705, 54507159, 548401, 8151623, 455495, 70439458, 31043805, 36979083, 6892817, 145809542, 45632430, 130629805, 18212595, 9919743, 41163899, 180408215, 33221467, 23580742, 26723723, 36108440, 39668587, 88954935, 124972417, 37033709, 37449118, 25188003, 22889258, 84387194, 2414303, 26014536, 23134845, 12789386, 28863318, 15695663, 13802806, 62931609, 500064, 66753536, 85070222, 99257009, 74787649, 72241774, 15008321, 189078032, 23458859, 9199391, 11729070, 23333317, 8937545, 22704879, 108351686, 26179740, 12467909, 96875101, 68673199, 158458283, 104779021, 19353368, 36371773, 90409835, 33612121, 275729877, 152145799, 18942871, 23136344, 14478024, 127237482, 52984891, 69120244, 28854300, 7492623, 53375586, 19222845, 155419903, 5229812, 63753642, 43573138, 34881830, 32328827, 213665491, 22447868, 64410245, 132992065, 29603894, 101152754, 2331077, 56759152, 8391882, 94194490, 31533926, 64811860, 45877217, 2587839, 56142215, 29751085, 82300461, 14068607, 24346444, 90507478, 1819671, 34677515, 6464083, 30294394, 294728133, 20626218, 52134026, 10498243 ], [ 73278332, 57170243, 40672129, 205797377, 33277103, 7829423, 29738778, 88185506, 89195053, 69172837, 19436251, 35205643, 8799657, 63070458, 4724026, 69899350, 124340353, 44778422, 23652560, 56392526, 17088587, 51860793, 54507159, 34088334, 4836413, 32464945, 89303329, 75995835, 85673659, 21147669, 2834744, 29057547, 111546882, 19490018, 9919743, 22598478, 48222143, 52916695, 198347695, 26723723, 6595352, 7658704, 97138307, 22668122, 1994469, 181581527, 3379604, 9357990, 4656625, 85786520, 24494642, 10030682, 67737483, 88964446, 3426333, 86751626, 32674386, 7865970, 14648640, 23291828, 51604081, 154331086, 25408148, 4081438, 25872681, 48284023, 9199391, 3934247, 36603489, 11128502, 22704879, 11337662, 43998752, 5117630, 20588532, 5923135, 38930844, 4232416, 30783858, 27824878, 12183523, 19618925, 6244249, 94155543, 2380763, 23136344, 47933954, 34969278, 74453127, 30310893, 28854300, 7492623, 8702321, 19222845, 155419903, 75897377, 9904138, 15323433, 56467509, 30702354, 171105297, 58864030, 64410245, 2842731, 16539226, 20230533, 30097089, 35939812, 7958284, 133629150, 19506101, 152283894, 42207456, 74264414, 29650170, 12788432, 14187457, 9219250, 22244656, 11442245, 7440492, 67476139, 6464083, 78707398, 212983826, 12704938, 223101309, 48756787 ], [ 55334326, 31794376, 9024081, 106844904, 125013236, 48019938, 41606629, 281574122, 2709365, 60470620, 151853792, 55136879, 3570465, 88755125, 36634874, 185523082, 98507634, 68281884, 108875799, 138673085, 223680440, 44102217, 44698635, 30265834, 112570029, 3834772, 135602714, 84354987, 6679141, 21147669, 146702589, 30479417, 103003757, 90961544, 145440573, 107832548, 34092587, 90589342, 84598180, 72690709, 11142073, 19494935, 49905013, 24447404, 141293504, 77234777, 46963576, 145062040, 23078767, 224854834, 26014536, 87331021, 31431431, 67955405, 54048224, 10654555, 177760154, 49122919, 32937631, 39402305, 203888857, 97305873, 131397123, 125100804, 189078032, 180195102, 131606927, 121142618, 152511139, 83448209, 65080746, 89443083, 147884076, 226086838, 96875101, 69681164, 142157452, 104779021, 132671862, 43938958, 85742346, 92934686, 24766906, 204831672, 132605470, 23136344, 16333356, 143590005, 52984891, 73828439, 387589143, 114032897, 62562029, 19222845, 16769773, 5229812, 148677452, 36054240, 701000932, 9350717, 305408767, 44820657, 30257426, 28666453, 165357810, 150049881, 160122026, 4028, 35164341, 20602581, 26874402, 66633566, 93898343, 194919342, 64547, 59038089, 82300461, 21532160, 39902837, 89733146, 208445286, 120165772, 192858909, 12931856, 62547840, 224365826, 15170477, 28598678 ], [ 70119106, 10860024, 57791115, 68786783, 1773737, 7829423, 24958943, 10728620, 2709365, 71013518, 11836062, 7482745, 11184496, 207755723, 36634874, 2485275, 18518610, 58008113, 108875799, 37914459, 25190317, 143748533, 54507159, 34088334, 8151623, 14229681, 16674892, 39720231, 4139590, 21147669, 2834744, 8067203, 40148963, 91141172, 9919743, 47921627, 16958417, 13704278, 9985536, 37153598, 37678536, 7658704, 47509755, 107106667, 39853586, 12349849, 8899107, 33815327, 17323077, 78224680, 101386829, 38680821, 12789386, 1044045, 37146219, 28456575, 15417166, 36590580, 14648640, 23430929, 22719135, 41759529, 17095974, 27647151, 113539043, 4770883, 73250709, 4267729, 50326426, 11128502, 3520474, 10755386, 2585693, 18583904, 25792677, 32324560, 1375471, 26997845, 69330880, 19249411, 70737589, 7369407, 11914058, 94155543, 32908317, 23136344, 73989900, 71012109, 36523646, 70932635, 24594983, 7492623, 44852685, 12885968, 15727200, 5229812, 49803073, 2380324, 40084585, 23252735, 24136245, 44820657, 52718830, 604917, 72897046, 14337913, 14934828, 21571738, 12821873, 58861189, 19902972, 18245555, 15506915, 2587839, 148606589, 77874438, 14187457, 4956964, 39902837, 22643413, 10094996, 67476139, 8317162, 4241466, 104069106, 133668729, 33579362, 6315096 ], [ 83297111, 97085922, 38483655, 2682069, 136245013, 753563, 5769740, 5766131, 22630158, 182093476, 23414985, 74243328, 71615469, 47432504, 25210442, 301123843, 90215629, 135651223, 81919201, 25067792, 1887686, 44102217, 54507159, 96586935, 21710163, 455495, 16674892, 137908120, 4139590, 21147669, 32318278, 29057547, 40279073, 133335399, 9919743, 103648134, 64450906, 134943171, 139381826, 109689335, 188043164, 124550739, 84011763, 124972417, 65180092, 181581527, 25188003, 33182577, 581795939, 85786520, 214328992, 87331021, 238264877, 292842322, 57797426, 221675253, 62931609, 80010221, 189436802, 47555846, 23324182, 90054772, 135629447, 317560233, 93827444, 152204219, 22249452, 21907393, 23333317, 11128502, 27213168, 149175033, 11279263, 20330484, 8533284, 47751326, 66111916, 177390592, 120299301, 19249411, 64794682, 19618925, 72944370, 664936, 1984222, 126591400, 47933954, 38898653, 24360195, 18386426, 90594670, 7492623, 251028, 19222845, 69290289, 5229812, 113461032, 43573138, 98316771, 321143, 37867380, 38310694, 7025933, 3348691, 150783764, 168755801, 160122026, 43313435, 16843059, 94194490, 31533926, 29226709, 108892514, 194919342, 43036461, 10935031, 51615701, 9219250, 10387097, 1053920, 50958776, 67476139, 14618863, 78707398, 62656571, 304906026, 2060966, 114732193 ], [ 80189743, 97085922, 91521943, 74511019, 26681554, 42561139, 138825044, 88243885, 47429823, 69172837, 84009631, 40028156, 84520594, 12265261, 385017, 21736456, 18518610, 10053466, 152119355, 23242567, 14124551, 183131299, 52292132, 1825024, 4836413, 30155276, 9823384, 46274253, 4139590, 9811063, 50069238, 29057547, 29973563, 72569546, 60474228, 15893949, 85660278, 239543388, 56429932, 35959074, 59371119, 7658704, 42794805, 1120881, 31420656, 109407790, 34533462, 14928801, 68677309, 85786520, 7124522, 13632521, 12789386, 67955405, 64904060, 13802806, 32130788, 57345974, 14648640, 47555846, 34499691, 106226939, 54596752, 22357626, 25872681, 37518768, 73859478, 20876282, 36603489, 11128502, 81048222, 104282797, 26179740, 30002300, 20588532, 76258876, 66219457, 4232416, 95255415, 19249411, 1842598, 629887, 24766906, 94155543, 94784157, 23974405, 26321502, 46129768, 223189329, 55132850, 179686269, 5193768, 35075307, 19222845, 12551130, 106391587, 17454450, 3601457, 169212428, 31805665, 54147679, 19592460, 64410245, 2842731, 109560484, 118055314, 52774061, 36468671, 118933817, 32459775, 8198026, 21710698, 34900327, 51988145, 43036461, 24403516, 14187457, 66812093, 24346444, 11442245, 156811099, 67476139, 5579813, 87442472, 30144140, 6259161, 52134026, 44671416 ], [ 155654907, 97085922, 91521943, 17394282, 136245013, 753563, 54149084, 55032171, 31816588, 69172837, 98194971, 5642071, 8799657, 3079227, 57273016, 71614902, 48897406, 112288238, 8552619, 61684354, 17088587, 46042705, 54507159, 196667289, 4836413, 14229681, 26977168, 166038206, 4139590, 5485182, 50069238, 45632430, 130629805, 428131183, 62623214, 21824103, 140274632, 125350875, 110155120, 14136878, 55224382, 39668587, 196147070, 56953487, 222415398, 52150253, 25188003, 56596407, 106295078, 52096546, 26014536, 87331021, 174860445, 67955405, 19965520, 12495412, 107997570, 7865970, 14648640, 168902627, 34499691, 138081545, 33395442, 15008321, 93054322, 34294792, 23660337, 3498867, 1140251, 11128502, 155970333, 104722467, 1721996, 60270550, 182718269, 81724309, 26921739, 36564773, 10845223, 19249411, 39820786, 187009701, 24766906, 61282264, 77984922, 23082340, 4519966, 143590005, 2301376, 22114532, 112525907, 52875576, 33633080, 19222845, 264493512, 5232805, 113461032, 43573138, 163430255, 32328827, 189431138, 218835269, 64410245, 173655355, 51408379, 116747790, 52774061, 63785001, 11261624, 63961661, 121731182, 226863105, 1250663, 20434814, 27683420, 77874438, 14187457, 213924070, 114234826, 44096670, 144588073, 19332191, 87110961, 306592239, 153912650, 1832243, 54663602, 123716021 ], [ 190568858, 34383241, 44059036, 74511019, 136245013, 66559418, 54149084, 71961339, 54056093, 113450913, 42493755, 28524510, 22757081, 50091355, 36634874, 387558530, 4953191, 58008113, 82464397, 50333601, 1549220, 46042705, 15394990, 201583910, 8151623, 117016792, 53767925, 166038206, 4139590, 21147669, 98773150, 11130479, 130629805, 123689752, 117974530, 107832548, 277657016, 68616002, 133338545, 57103513, 110115520, 39668587, 196147070, 124972417, 133202078, 181581527, 25188003, 212338930, 31700643, 85786520, 26014536, 86665551, 8988401, 19390578, 62917277, 2637656, 179471924, 57345974, 72088475, 16137977, 294334861, 138403496, 33395442, 15008321, 72999968, 23458859, 23660337, 107018213, 25329720, 11128502, 217763473, 53478404, 104330210, 60270550, 169791494, 69681164, 171511569, 31343280, 24397799, 19249411, 55726899, 629887, 54757914, 210333452, 84353758, 155174923, 164602279, 65859679, 21518661, 67718538, 119485024, 13331112, 94234326, 7297955, 15272083, 5229812, 26063013, 43573138, 137434668, 32328827, 111311857, 79870237, 44505564, 110588810, 106305271, 38144484, 10328263, 58570577, 12933874, 13010805, 31533926, 156310713, 86389989, 75181303, 157498963, 12788432, 142519476, 4263372, 28110601, 83135938, 103526719, 67476139, 87110961, 78707398, 93788094, 20626218, 54663602, 108137345 ], [ 1420552, 22529708, 55982070, 27899268, 88563387, 7829423, 21899217, 153186800, 11338106, 29412339, 126992149, 74243328, 42998216, 15804646, 41806433, 217709131, 18518610, 2474606, 51287163, 12230160, 48757041, 44102217, 52292132, 1526538, 8151623, 285087, 17558543, 46274253, 67213595, 21147669, 92938946, 30479417, 92420806, 111884416, 9919743, 5820433, 110448611, 194748559, 31535672, 36700884, 32363449, 45616376, 4528959, 101891439, 24774833, 5564078, 29968857, 51412002, 79187697, 89121664, 26014536, 48739759, 12789386, 49755262, 45390288, 23754173, 61382546, 57345974, 14648640, 28456691, 61606123, 49707186, 32872819, 27329795, 23802493, 35065222, 110304335, 20876282, 40194446, 11128502, 3520474, 10755386, 2585693, 16099353, 88462055, 69817680, 5151074, 43988455, 10845223, 1468693, 90409835, 77870115, 20519188, 45077948, 8841244, 23136344, 57954350, 17567021, 85715657, 19593982, 41389283, 7492623, 23401976, 19222845, 60854711, 5229812, 37119810, 43573138, 13685829, 107459791, 60341589, 79870237, 18592239, 163927937, 1845621, 36643396, 1311736, 185295986, 35164341, 36831880, 30781213, 10025357, 1250663, 75222315, 70190972, 2138343, 14187457, 139846700, 18050038, 12625905, 7805551, 20750769, 17832662, 78707398, 27040985, 20626218, 8438163, 8385885 ], [ 69130284, 13262061, 51572572, 74511019, 39972185, 42600000, 128875637, 2963064, 31816588, 124515762, 16297988, 74243328, 71615469, 39988225, 41806433, 95109265, 18518610, 148363555, 7555742, 60232861, 29848094, 34238619, 8824962, 13165614, 8151623, 47168326, 58205030, 49806056, 19995754, 9811063, 142215170, 152572608, 108507156, 75366654, 9919743, 225807495, 59625208, 26995929, 17080176, 26723723, 36108440, 10259202, 22970055, 27768308, 124986952, 5564078, 22487531, 104662809, 109252088, 255948686, 26014536, 120801518, 12789386, 113772660, 74241463, 13802806, 71286915, 57345974, 11163758, 46977691, 73619654, 163526627, 113256488, 48164330, 119783, 137077539, 131606927, 7711363, 1958344, 8937545, 18298946, 35693120, 12867758, 6787830, 137897006, 38565846, 2159615, 103106352, 19353368, 26225179, 182481186, 28654178, 24766906, 14250187, 8841244, 23974405, 107412209, 143590005, 146471121, 20862895, 55353557, 7492623, 33788022, 19222845, 55887444, 5232805, 148677452, 43573138, 46240026, 82379273, 61104428, 22447868, 64410245, 41799166, 1445300, 80191240, 77257505, 43313435, 89480191, 25731143, 43644912, 41303520, 108892514, 138409505, 21042131, 77874438, 14187457, 9219250, 1260411, 7574241, 32182005, 100008645, 37426293, 177116923, 2578618, 120708607, 57156642, 123716021 ], [ 82802495, 213916, 91521943, 74511019, 39972185, 73642008, 81223123, 2963064, 111499455, 43296192, 119367130, 5642071, 6423718, 28881798, 23609316, 69899350, 7619152, 148363555, 74668075, 60232861, 29848094, 34238619, 17454646, 34088334, 8151623, 40989572, 58205030, 30763052, 85673659, 21147669, 142215170, 70712698, 37924836, 19490018, 77118416, 100200947, 53536389, 8803629, 83834781, 1603020, 36205311, 2770593, 4528959, 119511733, 5308609, 44570338, 3379604, 7309500, 84815943, 52096546, 26014536, 12651377, 12789386, 21139736, 17366602, 10654555, 47143290, 500064, 11163758, 32438905, 33872485, 132227672, 33395442, 74046888, 758187, 203688826, 107754139, 12512447, 50326426, 11128502, 77589226, 35693120, 104330210, 12467909, 7370351, 52973807, 20916765, 22464142, 19353368, 88889098, 76332171, 663184, 27707243, 275491482, 90711321, 23136344, 14478024, 143590005, 34164230, 55466203, 28854300, 58071525, 8028375, 19222845, 3624085, 5229812, 91501612, 20716534, 51562874, 53249682, 66315233, 92784161, 37162242, 74281909, 127239068, 14911725, 72639193, 21571738, 12933874, 914881, 31533926, 55211896, 93898343, 97878312, 86107381, 9524705, 8386235, 66027651, 28110601, 7755034, 1819671, 21215426, 6464083, 152710276, 54909120, 5250619, 10432146, 99730738 ], [ 24568957, 97085922, 91521943, 157120283, 59389255, 75060300, 34444996, 72673069, 31816588, 73989751, 30421189, 61409996, 71615469, 12265261, 57273016, 89734995, 35635354, 148363555, 23585327, 138673085, 95393242, 36231912, 17454646, 38418940, 18345311, 43176167, 236527341, 70035180, 85673659, 21147669, 45314492, 70712698, 130629805, 19490018, 9919743, 88565377, 148641837, 100440667, 147831668, 14017762, 11142073, 30692901, 42794805, 93667746, 177689659, 10914927, 16984205, 28538266, 91800074, 85132438, 26014536, 26425749, 181725347, 67955405, 17366602, 11649449, 16568370, 39648938, 38478205, 46907323, 128610991, 136961266, 43978709, 57812547, 32861383, 37838820, 107754139, 71913506, 94420609, 11128502, 89756829, 104722467, 104330210, 12467909, 8233690, 137427018, 1375471, 22464142, 50170647, 138332286, 76332171, 130192952, 2861994, 54685880, 128009434, 4613699, 17360323, 143590005, 79962573, 85630438, 28854300, 2933573, 49913758, 19222845, 75115678, 105860579, 5674697, 20716534, 108319254, 148252258, 72396898, 81737630, 64410245, 63312001, 165357810, 94667847, 14861593, 43313435, 35164341, 10994262, 31533926, 124052215, 34900327, 212933282, 54283146, 1778507, 60428375, 9219250, 81606909, 11520981, 178854063, 82201, 6464083, 61736475, 48604390, 20626218, 161831401, 85240760 ], [ 180515555, 97085922, 69934916, 39300899, 136245013, 7829423, 81223123, 212672430, 207495709, 75644529, 111594686, 34518685, 84520594, 217923532, 57273016, 318579481, 7619152, 148363555, 254034452, 15163429, 13848742, 159771125, 54507159, 92359483, 22763895, 77182191, 70439458, 13627799, 67097388, 6555506, 216228118, 30580668, 130629805, 260739326, 4528241, 158620482, 89979232, 25552190, 51771503, 64448995, 133356784, 37919186, 196147070, 124972417, 214617950, 181581527, 191320393, 72838143, 84387194, 85786520, 6062175, 27494012, 233908069, 28863318, 98129014, 86751626, 121342861, 25872559, 29545950, 33823205, 126151020, 46481541, 33395442, 15008321, 758187, 5954598, 38289267, 17338867, 144904771, 11128502, 37097263, 364510135, 104330210, 132703814, 264163131, 116247650, 3490129, 10226322, 19353368, 138840539, 19394570, 216288378, 183336971, 147348684, 42126297, 16970109, 144952133, 63061736, 34185553, 73828439, 189849881, 175827883, 53375586, 19222845, 264493512, 101119263, 26063013, 43573138, 197251130, 63975941, 144545986, 79870237, 64410245, 245073165, 113685861, 136739244, 3085938, 63785001, 20285806, 66743373, 31533926, 52595981, 105218915, 158561483, 88138403, 58569374, 88806344, 135279616, 162226585, 376843967, 32182005, 19332191, 142662399, 76150892, 12114064, 83112910, 23279090, 158189237 ], [ 21192448, 75324996, 64295512, 80487212, 16638560, 7829423, 298009924, 121415900, 11338106, 77789480, 42522121, 74243328, 71615469, 59370111, 40963449, 79205732, 228736908, 44778422, 5046864, 40620308, 34747054, 118009155, 25690881, 34088334, 116257715, 43176167, 16674892, 87362633, 4139590, 14228334, 14244191, 9378073, 92420806, 435072223, 9919743, 180270267, 85660278, 54171347, 163467739, 79680491, 57471119, 77763628, 98787651, 60572464, 31988550, 72681927, 140586, 5528881, 158281515, 85132438, 27794976, 132918258, 75890706, 80784134, 81640472, 1188044, 45910855, 6044690, 74474831, 16330527, 189633625, 85502889, 166247101, 1123517, 28367226, 145111827, 43117166, 21907393, 101052301, 11128502, 35910822, 73698525, 27307485, 60270550, 20588532, 69553870, 34087761, 71500726, 169109617, 19249411, 45404420, 176068714, 2861994, 105309975, 12184028, 23136344, 15703313, 60928142, 43849436, 56724625, 95172109, 7492623, 196627590, 17566003, 75940738, 30268664, 9904138, 38904848, 55284839, 30702354, 225651135, 79870237, 64410245, 33373381, 221794687, 38071014, 160122026, 72412445, 35164341, 256671719, 242516781, 122660016, 62702179, 263696506, 196724520, 44991162, 64456563, 48556636, 162226585, 83135938, 61678931, 33306285, 142662399, 61736475, 48604390, 499851953, 38971413, 8385885 ], [ 73278332, 11311154, 85001253, 73387652, 61737802, 7829423, 54149084, 59815771, 1554397, 60470620, 24963752, 12235856, 71615469, 63070458, 41806433, 29285332, 36090254, 48652304, 44048311, 67435443, 53070926, 17955149, 17237959, 11485437, 13014430, 3571107, 5099442, 20196940, 9657706, 21147669, 16331973, 220132, 33744510, 6729956, 9919743, 22598478, 10828258, 46621614, 65946066, 64448995, 42147465, 17280545, 32841692, 7078114, 3538355, 68767423, 8899107, 23554704, 17323077, 52133795, 24494642, 7980156, 45328380, 34223412, 17213121, 10654555, 42519407, 134823790, 38478205, 31897130, 17924504, 36211929, 28315432, 18645977, 23182152, 10626534, 9199391, 20876282, 5332193, 11128502, 40120666, 30712102, 2585693, 12467909, 20672687, 51136416, 130133612, 9886437, 40974264, 36371773, 5105700, 6306853, 9903789, 2056028, 129104218, 23136344, 39614308, 52963073, 34164230, 25685559, 28854300, 7492623, 47854487, 19222845, 24516914, 5229812, 1503253, 43573138, 8006431, 24178693, 24749793, 44820657, 6005134, 51432934, 19103978, 10140614, 10649052, 15747426, 35164341, 39156272, 19902972, 18245555, 34900327, 13069568, 29650170, 15307900, 34783453, 4263372, 1231057, 7755034, 43942944, 67476139, 6464083, 78707398, 3638755, 29646304, 15608376, 8385885 ], [ 73278332, 22529708, 9024081, 27543629, 136245013, 38081745, 81223123, 117287956, 11338106, 124515762, 33741451, 60970584, 84520594, 75666424, 36634874, 2141582, 124340353, 28824799, 29159332, 58023976, 29984501, 72913017, 54507159, 11485437, 60765796, 84369300, 63431455, 31043805, 4139590, 9811063, 9903731, 14104276, 33744510, 19490018, 56912035, 22598478, 154444328, 121805154, 147831668, 194479144, 110115520, 10259202, 74984163, 51739970, 45308086, 12349849, 90365535, 138348553, 84387194, 82047447, 26014536, 43669082, 67737483, 67955405, 84521005, 13802806, 62931609, 134823790, 177356704, 28456691, 66163271, 24643627, 33395442, 114175801, 70686643, 74368723, 109768488, 21907393, 26803841, 11128502, 58691418, 93778652, 14400624, 12467909, 17586368, 69681164, 156950592, 23355992, 110496977, 19249411, 24154625, 19213264, 180760789, 152145799, 7835358, 23136344, 53946657, 143590005, 36523646, 73828439, 28854300, 4499884, 53375586, 19222845, 24516914, 5232805, 49803073, 43573138, 211593981, 9350717, 224352436, 22447868, 52578379, 6771549, 165357810, 108006668, 47583747, 46447386, 35164341, 63829230, 31533926, 21710698, 47260902, 75181303, 29650170, 13207700, 7915461, 4263372, 24346444, 7574241, 43942944, 71023811, 6464083, 78707398, 11770568, 45303819, 28077617, 8385885 ], [ 21067187, 57170243, 91521943, 22543064, 61737802, 7829423, 81223123, 86963849, 39060135, 136108524, 14892926, 1616244, 44261417, 62186854, 35881504, 197776217, 161510297, 61864217, 29159332, 101818846, 29984501, 22418948, 25690881, 34088334, 36692203, 34039240, 147914446, 30763052, 4139590, 21147669, 17851763, 6606854, 87704989, 12880190, 9520884, 33188113, 99557284, 292082620, 117363945, 107331138, 161630182, 10259202, 77608895, 11997696, 45282283, 20983595, 46963576, 11085304, 81479756, 52096546, 26014536, 59328861, 26126097, 67955405, 34222951, 67072244, 32674386, 14408677, 14648640, 47555846, 161769675, 36211929, 171273, 18645977, 25872681, 23458859, 100139302, 20876282, 6005507, 11128502, 35979625, 74636982, 14400624, 60270550, 20672687, 5923135, 142157452, 4232416, 17731912, 19249411, 41445570, 16004079, 24766906, 128901016, 49939543, 23136344, 47933954, 52963073, 34164230, 1586059, 40085842, 7492623, 38789827, 19222845, 72084409, 5229812, 26063013, 43184542, 91356891, 40347440, 146751926, 44820657, 1328670, 125162170, 23382202, 54920280, 14861593, 35939812, 11341171, 2095714, 77079650, 21710698, 35302, 38915149, 43036461, 1778507, 14187457, 9219250, 39902837, 7574241, 132591868, 18566907, 17832662, 78707398, 8859738, 35883833, 54237163, 1734627 ], [ 274333149, 86094355, 91521943, 66718259, 1773737, 178137873, 7199722, 130453420, 179822799, 26310677, 11836062, 60970584, 71615469, 154045893, 36634874, 90122858, 161510297, 148363555, 51287163, 7746017, 17088587, 44102217, 49257403, 5971639, 4836413, 6968936, 74971727, 31043805, 4139590, 9811063, 50069238, 6606854, 52355039, 75366654, 9919743, 16346034, 48222143, 60030229, 60575621, 15812072, 56845272, 68813508, 98787651, 67110770, 39853586, 57317810, 97950163, 67712415, 84387194, 85786520, 26014536, 21583334, 88134723, 82966007, 70038896, 13802806, 158454395, 6088663, 14648640, 44264287, 64124675, 142128627, 33395442, 15008321, 46311593, 97534541, 131606927, 11729070, 26803841, 8937545, 101377208, 93778652, 2585693, 6787830, 35798322, 69681164, 206985948, 104779021, 19353368, 12573529, 283824684, 33612121, 112920836, 183263655, 228253980, 23974405, 31450107, 65261005, 74453127, 195270253, 119485024, 7492623, 33788022, 19222845, 60854711, 5232805, 33887047, 14280183, 147136638, 145119889, 6496455, 22447868, 1328670, 113683835, 34374270, 5937249, 8636343, 43313435, 11261624, 115510883, 31533926, 18245555, 108892514, 75222315, 39972636, 77874438, 1330228, 4263372, 6556908, 44143313, 32182005, 67476139, 49110469, 20809248, 63285226, 165925004, 54237163, 1734627 ], [ 24568957, 59730502, 53380503, 82213042, 114163251, 42600000, 157367015, 31459274, 47429823, 14650532, 111594686, 74243328, 22757081, 25332618, 180966442, 193602125, 7619152, 44778422, 139445177, 27820832, 17088587, 69829939, 49257403, 27836708, 4836413, 29780152, 195681829, 46274253, 4139590, 21147669, 50069238, 9423297, 37924836, 390703766, 9919743, 22566690, 140274632, 382402797, 37541887, 26723723, 36108440, 17280545, 98787651, 124972417, 20097980, 94210276, 21595824, 159106323, 9359066, 54157300, 26014536, 41060138, 14119070, 24637582, 74241463, 86751626, 179471924, 195371164, 146848800, 31897130, 294334861, 163526627, 83296913, 15008321, 758187, 260111860, 70066454, 20876282, 63046026, 11128502, 182912044, 28456871, 104330210, 60270550, 82436325, 412636266, 142157452, 31134821, 24397799, 19249411, 72730439, 19618925, 24766906, 23507974, 66499610, 89612724, 4519966, 143590005, 82762027, 73828439, 191962791, 7492623, 62562029, 471631, 113119684, 74175936, 9904138, 43573138, 93648340, 30702354, 144545986, 44820657, 41078699, 42464866, 29603894, 49975497, 52774061, 31044122, 12933874, 10655704, 31533926, 152283894, 1250663, 13069568, 43036461, 77874438, 10406686, 9219250, 6556908, 11442245, 211467032, 67476139, 42882095, 78707398, 214388554, 58191293, 54663602, 41313697 ], [ 20355458, 43079110, 67931810, 66718259, 125013236, 56745996, 81223123, 31897211, 47429823, 85692249, 27377448, 5676001, 24388200, 197170623, 49382248, 233732940, 98507634, 20522462, 51287163, 131129715, 29984501, 194185315, 53372789, 163886869, 181024752, 15344011, 163416394, 15306441, 27751528, 9811063, 64144549, 204060439, 91018052, 76451841, 36406136, 21381525, 140274632, 90589342, 43041423, 94387419, 664293, 94405471, 49905013, 11844658, 20711056, 1403991, 46963576, 53239987, 21872131, 65196358, 26014536, 87331021, 166038126, 211551143, 2738498, 13802806, 55492492, 64185138, 13737372, 78245367, 17639151, 86340799, 33395442, 27675141, 33686701, 23458859, 40681939, 3422107, 46744768, 11128502, 42942879, 53928286, 26179740, 30813733, 53663598, 37413210, 60974175, 83060934, 25404180, 108979105, 349737338, 629887, 24766906, 221305656, 94396060, 23974405, 127502231, 143590005, 85408871, 22311498, 1357031, 50703133, 26591430, 19222845, 17551062, 5232805, 67706453, 24276669, 12616255, 1307595, 39785202, 22447868, 7860370, 45051428, 76268170, 30441055, 160122026, 31765215, 35164341, 149094673, 26595740, 9196104, 13851878, 71173050, 81716102, 77874438, 14187457, 5300437, 11257760, 149145098, 2256160, 67476139, 87110961, 78707398, 48084788, 33481920, 143224719, 14895048 ], [ 203753852, 30555160, 20551867, 8649609, 132706371, 95729574, 81223123, 10728620, 11568794, 43540580, 66457130, 45643335, 29005768, 241409779, 57273016, 4605955, 7619152, 143954271, 36161704, 79217957, 29984501, 3425768, 54507159, 90101743, 21710163, 21434280, 112493019, 35306425, 4139590, 21147669, 88277132, 48525486, 111407, 47743843, 62623214, 136353343, 41802657, 2362921, 23580742, 193448087, 664293, 74514401, 8121061, 107806842, 45582871, 74551232, 36802622, 38078864, 36574626, 146691061, 139571670, 78724807, 71529345, 67955405, 26675367, 30363827, 75648262, 32133468, 14648640, 46977691, 61606123, 11345470, 29004805, 47843127, 758187, 118351178, 2235822, 71913506, 106429045, 11128502, 42942879, 137528507, 29657818, 60270550, 53663598, 110809226, 27684402, 53692329, 10845223, 19249411, 208085523, 189233943, 24766906, 77888265, 17194140, 9241107, 35787454, 65859679, 5116939, 73828439, 28316288, 162773990, 77572742, 19222845, 17551062, 99126886, 37119810, 43573138, 90706319, 205978851, 248177336, 64147911, 42410573, 381125050, 47799517, 66126466, 14934828, 46447386, 35164341, 149094673, 102331394, 9196104, 1250663, 71173050, 93697479, 50440259, 3124469, 282281194, 64612833, 20672213, 2256160, 30318355, 15840429, 78707398, 80028217, 82075899, 54663602, 107832043 ], [ 63235793, 8182231, 20551867, 1383689, 22452497, 7829423, 34444996, 10728620, 11568794, 94492890, 151853792, 74243328, 8799657, 57725253, 57273016, 4605955, 69302880, 143954271, 5524917, 38794093, 29984501, 67940291, 45201766, 27454299, 46333760, 3680525, 9823384, 71426055, 4139590, 21147669, 90105736, 48525486, 33744510, 91141172, 24431798, 6019223, 42769264, 134325217, 23580742, 7122117, 664293, 74514401, 20369260, 94154065, 1994469, 10151165, 46963576, 142902414, 4656625, 89121664, 26014536, 49083446, 108005934, 49755262, 74241463, 47709058, 63710292, 7865970, 22678832, 62180514, 189633625, 48287149, 33395442, 6921616, 25872681, 102575965, 131606927, 53716457, 36603489, 11128502, 22308748, 137528507, 29657818, 60270550, 39262333, 4841022, 142157452, 4232416, 141358747, 11209908, 1842598, 19213264, 24766906, 131295115, 6313052, 23136344, 62842898, 143590005, 36523646, 73828439, 103900077, 7686809, 23401976, 19222845, 17551062, 5229812, 113461032, 43184542, 228022515, 200396371, 38867257, 13573695, 22173503, 44385067, 89757976, 143339112, 14934828, 20306157, 35164341, 33534998, 47548805, 13449488, 13104997, 71173050, 101443646, 77874438, 60428375, 19345288, 39902837, 22717768, 7805551, 85283959, 15840429, 41144003, 82142274, 102896638, 54663602, 81159617 ], [ 14107149, 56680051, 91521943, 104221367, 82165241, 44134229, 17837375, 10728620, 47429823, 16677736, 102599487, 343617, 8799657, 12188205, 25976978, 12983464, 7619152, 148363555, 21332256, 38983859, 6373919, 54465214, 54507159, 34088334, 1875218, 12300080, 5164034, 9297054, 22297431, 9811063, 3901026, 70273007, 60666477, 19490018, 9919743, 8766403, 71870895, 52916695, 23580742, 11058832, 19096358, 42486274, 16488813, 65721239, 132262928, 5564078, 46963576, 14156480, 27658597, 3728851, 16242468, 43669082, 45328380, 21139736, 16043503, 13802806, 69399563, 7865970, 82553212, 82513676, 117524067, 24643627, 33395442, 4081438, 758187, 42602402, 67465007, 3498867, 94420609, 11128502, 91892801, 163134051, 10258276, 6787830, 9674566, 9022882, 11452209, 1644123, 58722315, 26225179, 197633367, 79544848, 24766906, 29178442, 8841244, 4610874, 43319394, 24506241, 1278808, 29638372, 28854300, 7492623, 33788022, 19222845, 81259506, 5232805, 97094170, 43573138, 80062935, 107343912, 34465906, 22447868, 11205384, 34097367, 45040341, 10148911, 73285170, 14557590, 26093144, 89389321, 57870099, 20229549, 1250663, 90524616, 78940650, 226901, 6742091, 134744943, 24346444, 51565532, 10094996, 54314133, 6464083, 12797032, 102807686, 51706520, 13486249, 16429644 ], [ 1420552, 49061805, 58499433, 14035566, 33277103, 38081745, 17837375, 72398915, 11037250, 16677736, 25623530, 2108993, 71615469, 75666424, 25976978, 28962749, 18518610, 30524710, 182350875, 131129715, 12504639, 41681295, 54507159, 33438807, 4836413, 34974794, 159337546, 31043805, 4139590, 9811063, 3901026, 72608530, 37924836, 30705108, 9919743, 3716372, 16958417, 164219093, 33269213, 101397144, 24449041, 15365324, 22970055, 119511733, 26152465, 3379781, 18263058, 145062040, 73122444, 85786520, 26014536, 72386568, 12789386, 67955405, 16043503, 13802806, 54292567, 57345974, 11163758, 33823205, 75983765, 764685, 10589598, 17215145, 94399801, 81564991, 20160336, 87708302, 12141502, 11128502, 54995284, 166194665, 10258276, 51298002, 9674566, 3952949, 31236690, 25369199, 10845223, 9000216, 73652273, 629887, 361670, 140116245, 6988186, 23136344, 192082432, 122578221, 95843728, 3582477, 119485024, 7492623, 8702321, 2279026, 37157999, 5229812, 9904138, 192023, 8006431, 4381708, 23271493, 20791432, 64410245, 81405423, 9595164, 71757534, 52719948, 14557590, 34714145, 48503409, 8198026, 20229549, 1250663, 6531870, 49189630, 9593670, 14187457, 134045925, 24346444, 19690167, 43942944, 8843902, 4000571, 35781802, 281935126, 72304628, 34395922, 4334444 ], [ 58570747, 75324996, 9024081, 73188602, 108146059, 19170239, 78995092, 7320926, 11338106, 88777570, 42522121, 58141178, 12121444, 174118816, 68500764, 15234823, 18518610, 1602842, 5312691, 9485302, 155369916, 27735638, 25690881, 34088334, 8151623, 21434280, 8025753, 37859035, 77826895, 21147669, 115189464, 70712698, 22705191, 19490018, 9919743, 25973640, 7728598, 21224022, 23580742, 64448995, 166290902, 23347262, 84011763, 63822203, 239972320, 72681927, 46963576, 5528881, 3696488, 86787225, 27794976, 87331021, 12789386, 122125840, 62212096, 10654555, 10876604, 57345974, 14648640, 218819939, 207784451, 97305873, 26671428, 17215145, 84303833, 6446627, 20160336, 12512447, 10875213, 11128502, 89756829, 154347737, 127147075, 3290147, 9674566, 29034, 2186367, 71500726, 36898656, 26225179, 212200573, 138529504, 24766906, 45077948, 12184028, 17838300, 7459116, 26532444, 48669013, 24582402, 28854300, 7492623, 23440466, 19222845, 15727200, 129491509, 9904138, 43573138, 110345097, 9350717, 24868546, 6227883, 64410245, 28666453, 33790723, 42055225, 81197310, 17214416, 49732190, 89389321, 22025713, 95470352, 93898343, 142761435, 49189630, 9593670, 14187457, 26423697, 162226585, 28679752, 66859845, 67476139, 6464083, 226294482, 75477893, 22005357, 25456598, 4643354 ], [ 24568957, 73957937, 107601258, 342207948, 136245013, 88259316, 17837375, 130453420, 11338106, 57359663, 16214473, 17470031, 71615469, 174118816, 745238, 15234823, 31779127, 148363555, 36344461, 8166328, 7083997, 144833982, 52292132, 34088334, 109023962, 391824178, 17558543, 37859035, 36979083, 9811063, 2624770, 72608530, 92420806, 79774038, 9919743, 14947356, 43807916, 34814590, 189868541, 36700884, 130175016, 124550739, 98787651, 37973928, 239972320, 37449118, 71303355, 21422974, 79187697, 85786520, 26014536, 43669082, 95412116, 21139736, 16043503, 13802806, 69399563, 6044690, 66967279, 135397780, 2470016, 24643627, 33395442, 323689953, 745699, 33415471, 120024304, 87708302, 158975681, 11128502, 24960319, 166078129, 26179740, 192485822, 331567153, 43492965, 140656575, 21076761, 145290192, 6015963, 11892364, 48006655, 43187525, 45077948, 48897944, 23136344, 35349424, 24506241, 101985181, 82618993, 191962791, 7492623, 112610509, 19222845, 60854711, 5229812, 29218734, 43573138, 65795867, 38867682, 2278521, 22447868, 64410245, 52793063, 165357810, 189519754, 12047128, 87391155, 35164341, 48503409, 8198026, 70875298, 108328295, 1225763, 76604182, 77874438, 25825842, 134744943, 24346444, 31231186, 78811485, 44842660, 87869340, 78707398, 102807686, 15123677, 39011870, 8385885 ], [ 24568957, 83328899, 36715852, 248434917, 96817388, 7829423, 81223123, 101549159, 11338106, 101863845, 119367130, 34518685, 84520594, 6129716, 57273016, 103656471, 16975223, 44778422, 51287163, 12230160, 26522084, 83754180, 54507159, 34088334, 32404941, 117016792, 49385758, 19528142, 4139590, 21147669, 146702589, 30479417, 92420806, 22715930, 79443793, 22598478, 154444328, 24554342, 149568152, 5414511, 21299119, 124550739, 186424101, 25814972, 199126911, 37449118, 1771774, 28112758, 116687584, 85786520, 26014536, 15202706, 19456357, 21139736, 17366602, 5237303, 7955637, 6044690, 11163758, 33823205, 64474081, 163526627, 33395442, 54552973, 28367226, 95961915, 107754139, 144130539, 158975681, 11128502, 224436269, 11503741, 104330210, 215436, 152810428, 62603371, 31236690, 25369199, 72596379, 19249411, 197633367, 629887, 54757914, 331726517, 42126297, 23136344, 183644486, 47771773, 121733072, 73828439, 800507, 74765455, 26452070, 19222845, 97838497, 5229812, 9904138, 43573138, 104713575, 30702354, 30869059, 193773524, 48659214, 79038199, 19937624, 10148911, 95871277, 20906078, 29176996, 63829230, 31533926, 66045757, 62875623, 8701297, 240788004, 77874438, 82300461, 134045925, 39902837, 11520981, 43942944, 54314133, 17832662, 78707398, 73978516, 5867434, 10202524, 8385885 ], [ 61747524, 83328899, 40672129, 27899268, 136245013, 86558720, 3430408, 10728620, 31377774, 16677736, 11836062, 17470031, 71615469, 75666424, 4724026, 18429975, 7619152, 69607594, 36344461, 12230160, 12504639, 54465214, 28222504, 34088334, 1875218, 5704335, 117271370, 13044200, 36979083, 9811063, 90105736, 48525486, 125742040, 14773227, 9520884, 22598478, 118469328, 142709332, 23580742, 88739097, 108687630, 52074589, 49905013, 119511733, 16651167, 11684360, 16984205, 33027000, 84387194, 52133795, 26014536, 10030682, 12789386, 21778984, 74241463, 6783628, 62931609, 8221730, 25272896, 37539156, 9165651, 124583420, 19017596, 80842483, 758187, 25610046, 20890072, 116873020, 6029628, 9746900, 80266364, 104722467, 26179740, 20330484, 9674566, 88131167, 115586381, 16033956, 10423423, 105789928, 45404420, 629887, 6244249, 45077948, 48897944, 3805910, 139407442, 63061736, 8856120, 73828439, 15228439, 7492623, 11510254, 19222845, 764587, 5229812, 44055985, 43573138, 116055518, 3962925, 40915217, 22447868, 64410245, 34097367, 30496227, 58838564, 26425554, 43313435, 32211393, 87503740, 143111597, 137427420, 34900327, 13108205, 118735060, 77874438, 6292514, 9219250, 24346444, 30325361, 83742631, 9193325, 37426293, 12797032, 208043842, 120708607, 39011870, 82023210 ], [ 82288563, 97085922, 36715852, 64949304, 136245013, 103938116, 98349525, 30391140, 135195683, 73989751, 119367130, 1616244, 13688128, 75666424, 180966442, 71614902, 58555678, 44778422, 36344461, 4365136, 26522084, 55165213, 40251433, 13327179, 15072477, 86822027, 46590480, 46274253, 36979083, 9811063, 85262449, 128005632, 77892940, 75366654, 9520884, 2149405, 96044705, 142709332, 107292296, 12243410, 108687630, 72096831, 98787651, 13402492, 57221722, 37449118, 140586, 33027000, 58222733, 25566948, 26014536, 10030682, 31024540, 21139736, 19560718, 13802806, 179471924, 308416947, 14648640, 29853838, 43336713, 9598633, 36081725, 48164330, 211081391, 81564991, 9903185, 20876282, 203267202, 11128502, 24960319, 103903037, 26179740, 62059834, 8049913, 76258876, 31236690, 62078491, 16064167, 6015963, 93647738, 48006655, 97819303, 131598524, 55501340, 17838300, 38791507, 26532444, 57137337, 5362144, 800507, 7492623, 47854487, 39753818, 117369863, 120989682, 9904138, 43573138, 46980226, 30702354, 107094048, 22447868, 12279330, 52793063, 22069770, 38071014, 116390549, 84197366, 35164341, 48503409, 8198026, 124052215, 1250663, 2387170, 33047473, 77874438, 14187457, 74899902, 24346444, 49553912, 32182005, 54314133, 38535377, 78707398, 80697636, 33193815, 57156642, 54727878 ], [ 61747524, 32411794, 9024081, 74511019, 125013236, 7829423, 98349525, 107725003, 47429823, 67299342, 116822194, 11021364, 65368445, 43984272, 147782651, 93089340, 18518610, 270315137, 36344461, 128972561, 155369916, 293161613, 54507159, 34088334, 8151623, 47168326, 202725313, 110800855, 4139590, 18419991, 36342808, 32225846, 130629805, 3345264, 130064242, 75678157, 60066348, 81995761, 33269213, 101321538, 166290902, 112945, 49905013, 93323456, 81801562, 5564078, 46963576, 5528881, 158281515, 34080952, 45080732, 17067399, 12789386, 21139736, 45617000, 34775875, 31986973, 57345974, 25237136, 149653581, 146471404, 97305873, 162703837, 17215145, 94399801, 152204219, 20160336, 56320865, 50326426, 11128502, 59252576, 154347737, 104330210, 12467909, 6876818, 76258876, 31236690, 27826582, 152817166, 19249411, 73652273, 10158467, 24766906, 70003802, 8841244, 9700473, 143989921, 143590005, 48669013, 31631278, 28854300, 17763207, 112610509, 19222845, 210667022, 76578567, 792451, 43573138, 22317967, 9350717, 207298763, 79870237, 64410245, 28666453, 89964661, 26481946, 10328263, 14557590, 101938815, 48503409, 8198026, 11445246, 62875623, 26677713, 19912328, 17911957, 123359600, 135279616, 162226585, 11520981, 48996125, 37823168, 6464083, 12797032, 333147, 98178853, 54663602, 59881781 ], [ 6925873, 24126196, 67224495, 74511019, 49429761, 38081745, 29738778, 24077093, 11338106, 130105926, 37497957, 17470031, 71615469, 39175709, 57273016, 71750004, 18518610, 148363555, 21654249, 95944567, 47074302, 76161961, 1618709, 34088334, 8151623, 3571107, 16674892, 61993387, 27100779, 18419991, 32318278, 4276608, 92420806, 10967976, 9919743, 9281703, 92873443, 206894540, 31483562, 48728972, 11142073, 50820451, 58640361, 115095377, 45483235, 108523830, 16984205, 5528881, 84446382, 64252069, 26014536, 53575456, 12789386, 17046990, 74241463, 10654555, 75770217, 6044690, 14648640, 99788052, 34673082, 118110339, 162581792, 48164330, 8508594, 40870645, 69275328, 3498867, 13867983, 317735, 65080746, 3453250, 11436786, 6787830, 9674566, 22147037, 64566429, 36564773, 95255415, 26225179, 158750746, 100342453, 24766906, 45077948, 48897944, 1129005, 46529801, 143590005, 11642142, 16578476, 25901517, 5433327, 19717785, 19222845, 6363096, 64418028, 49803073, 43573138, 114793140, 11632480, 61104428, 79870237, 46124803, 25339270, 87231875, 60881301, 98144606, 10820910, 35164341, 63829230, 38123223, 96419578, 42207456, 15844133, 23536374, 77874438, 14187457, 135279616, 127939877, 7393291, 43942944, 9601057, 17832662, 12797032, 74621554, 1832243, 13252763, 8385885 ], [ 217745362, 52442728, 82475550, 49501456, 96817388, 84316290, 9494755, 18298807, 11338106, 25782497, 11836062, 49310546, 6781625, 97544519, 50053741, 13112516, 36090254, 114052678, 140657897, 21540213, 29984501, 172743250, 28222504, 34088334, 25635310, 39328190, 70439458, 31043805, 998259, 9811063, 12384682, 30479417, 85984868, 64864368, 9520884, 180270267, 140274632, 89989611, 216586219, 64448995, 122282160, 17280545, 88954935, 54250145, 68793871, 181581527, 46963576, 62898838, 84387194, 34080952, 26014536, 72386568, 131480706, 45244718, 74241463, 13802806, 10243746, 126129628, 49736877, 31897130, 151924240, 147363046, 26671428, 17089588, 14845455, 126029754, 299878922, 90156191, 63046026, 11128502, 101377208, 105342013, 19813493, 3290147, 86380955, 41768460, 71512655, 25369199, 2203688, 105789928, 197398547, 79599822, 24766906, 45077948, 48737309, 23136344, 35069163, 44024468, 9535770, 16578476, 15228439, 4937328, 33788022, 19222845, 764587, 75897377, 66490815, 43573138, 79580175, 26937213, 22953946, 22447868, 64410245, 114835017, 41675183, 1543963, 42387840, 199328976, 35164341, 81377413, 222501076, 36924670, 225384166, 13069568, 17814667, 77874438, 123359600, 134744943, 24346444, 66158273, 66859845, 37823168, 37426293, 12797032, 44236451, 120708607, 39011870, 2932758 ], [ 35045781, 56680051, 91521943, 80184833, 904197, 7829423, 35697247, 2963064, 47429823, 204697655, 33741451, 34518685, 71615469, 181066970, 57273016, 13112516, 40855158, 148363555, 29945449, 91072366, 6373919, 70120030, 28222504, 92359483, 32404941, 14144875, 58205030, 9297054, 58822219, 21147669, 23720404, 9423297, 22705191, 86439671, 9520884, 80679198, 37734786, 184337709, 39196081, 37153598, 78523311, 72821900, 17470233, 17925071, 39853586, 5564078, 46963576, 33027000, 22529064, 52133795, 15383545, 72386568, 4543758, 67955405, 74241463, 10654555, 69399563, 6044690, 29545950, 33823205, 207784451, 66703717, 91529355, 203223458, 28367226, 23458859, 131606927, 167615967, 74811279, 11128502, 3837077, 19405055, 2585693, 28730007, 2603040, 29034, 48982349, 62078491, 34547962, 6015963, 11279915, 99339, 24766906, 45077948, 8841244, 186582141, 65709753, 25984506, 20846534, 30310893, 15228439, 7492623, 24800495, 19222845, 8826323, 28933106, 5674697, 43573138, 213212694, 71679701, 22953946, 57329203, 64410245, 139840833, 76955315, 10148911, 54262985, 52623941, 35164341, 25981772, 14870913, 18245555, 82641380, 75222315, 123892765, 26406378, 105261554, 91357991, 65865591, 7755034, 39880510, 67476139, 24563044, 78707398, 73978516, 87931815, 39011870, 12517399 ], [ 274333149, 97085922, 44306063, 14035566, 82165241, 7829423, 67601439, 130453420, 11037250, 142793895, 78982599, 1616244, 58629659, 63714770, 57273016, 132715581, 105084046, 12212582, 21332256, 45007573, 9485075, 17955149, 54507159, 34088334, 101437440, 47168326, 127988381, 46274253, 26666345, 9811063, 182484876, 48525486, 130629805, 84314686, 9919743, 22598478, 21922038, 34654618, 31483562, 73439470, 108588079, 95629138, 16488813, 1916230, 43681660, 805855, 46963576, 29330522, 27658597, 44636849, 26014536, 38680821, 52730077, 67955405, 52614904, 13802806, 17143545, 129426387, 14648640, 99788052, 66163271, 163526627, 166247101, 4081438, 28721496, 40870645, 61880264, 20876282, 26803841, 11128502, 21941788, 71797060, 26179740, 6787830, 20588532, 79537946, 142157452, 25369199, 95255415, 7071017, 19038590, 99339, 24766906, 5951189, 32908317, 23136344, 87887074, 96650485, 57137337, 73828439, 39170009, 7492623, 33788022, 19222845, 8826323, 5232805, 5674697, 43573138, 80062935, 34746810, 61104428, 6227883, 12279330, 105903689, 20196655, 45561590, 160122026, 12460925, 35164341, 84537281, 31533926, 76652878, 108892514, 24282949, 39972636, 39475735, 14187457, 9219250, 24346444, 13327545, 46615755, 46104977, 82273265, 4241466, 136348263, 18615545, 71769766, 48756787 ], [ 63235793, 56680051, 68705172, 69861131, 136245013, 95729574, 81223123, 7320926, 28628523, 16677736, 78010653, 11021364, 71615469, 43984272, 98151237, 33701503, 64993173, 148363555, 39005476, 41447936, 5550845, 38380178, 54507159, 26701156, 15072477, 47168326, 70439458, 9297054, 23909840, 18419991, 9569806, 72761192, 130629805, 51458735, 9919743, 22598478, 7728598, 218050890, 33269213, 64448995, 69400331, 49603306, 98787651, 63822203, 30200234, 181581527, 16984205, 29330522, 91016748, 190935124, 24144608, 8049892, 1046535, 82966007, 1314880, 77514973, 15417166, 66804770, 14648640, 44264287, 50256205, 3682536, 33395442, 42993293, 122351638, 30384576, 110304335, 20876282, 26803841, 11128502, 24960319, 63457982, 85764190, 193218759, 2603040, 9022882, 2186367, 164718244, 10845223, 6015963, 267790031, 57361103, 24766906, 140116245, 254070042, 17838300, 87887074, 96650485, 57137337, 22719650, 119485024, 7492623, 112610509, 19222845, 764587, 5232805, 147499152, 43184542, 8006431, 22455383, 141873989, 20791432, 64410245, 233212852, 22069770, 112277713, 160122026, 112143635, 35164341, 58861189, 22025713, 90753229, 1250663, 2387170, 39972636, 9593670, 14187457, 18596849, 162226585, 49553912, 26880886, 67476139, 85358323, 12797032, 80697636, 90981904, 71769766, 136305061 ], [ 195880219, 97085922, 58936418, 259618600, 89614408, 43560350, 173796910, 19282330, 42081744, 5647677, 89658318, 50368910, 21363058, 61906941, 44422263, 13112516, 36090254, 44778422, 72179472, 1236975, 155369916, 22676141, 54507159, 54912297, 96418775, 47168326, 202725313, 325756812, 75440292, 21147669, 146702589, 108535708, 28190702, 84314686, 22427269, 142340169, 31600162, 90589342, 12969820, 72312947, 42147465, 17280545, 8742330, 36020323, 141293504, 44570338, 46963576, 33027000, 75254965, 52133795, 26014536, 69011675, 31024540, 28922729, 17366602, 38696253, 179471924, 71019915, 39065278, 31897130, 42685316, 163526627, 44960964, 344551717, 6432057, 44555354, 107754139, 59124870, 6029628, 185525945, 40120666, 7708208, 156246820, 65677577, 250418801, 163075251, 74819836, 62078491, 6272544, 108979105, 161501956, 30477930, 24766906, 317103196, 340640536, 57343845, 131190754, 143590005, 52984891, 24468505, 141511634, 114032897, 30259855, 19222845, 19860340, 25973217, 9904138, 43573138, 58375885, 3962925, 22953946, 9886112, 94614336, 114835017, 89352196, 2904225, 1098868, 156310717, 35164341, 87503740, 19902972, 33959348, 19765602, 13069568, 303024978, 3769254, 39586600, 30370639, 7752645, 85807733, 74857953, 33445608, 34312063, 58372342, 47505272, 181031739, 32594470, 12517399 ], [ 43866048, 72891720, 43139594, 167610140, 45684534, 117181016, 76975234, 83687780, 6860398, 11609659, 151853792, 17470031, 56211229, 7014434, 23609316, 69899350, 1243675, 78097557, 28639, 138673085, 51219801, 46042705, 54507159, 34088334, 11065696, 47168326, 16674892, 91778936, 60254139, 21147669, 32318278, 108535708, 123857098, 20545917, 9520884, 45574469, 94780970, 30595570, 216702929, 64448995, 5492754, 17280545, 8742330, 119808542, 110729160, 117741541, 46963576, 145062040, 27922, 76181896, 26014536, 40343785, 75890706, 50763902, 74241463, 34829142, 88303975, 8221730, 14648640, 2800210, 60323802, 85502889, 77787201, 9749948, 113255260, 45927978, 44726390, 59124870, 63046026, 9746900, 81048222, 605505, 27748232, 18111354, 46777798, 11067886, 124761436, 62188291, 56796422, 2091990, 45404420, 48006655, 24766906, 45077948, 48897944, 23136344, 10289852, 34969278, 52984891, 56724625, 21257205, 7492623, 50277845, 19222845, 764587, 5229812, 47946239, 43573138, 39603277, 32328827, 31685210, 27575029, 64410245, 88710090, 30496227, 19909213, 7528447, 62792449, 12821873, 48503409, 3630343, 79449101, 108892514, 13069568, 54283146, 57109939, 14187457, 21673117, 1536601, 66158273, 19108628, 15253757, 88271326, 35781802, 11770568, 223324919, 39011870, 59175905 ], [ 115515769, 72891720, 58936418, 13336847, 33277103, 7829423, 8269977, 19282330, 3321172, 5647677, 114984780, 17470031, 61056094, 43984272, 25976978, 41574475, 35635354, 5839284, 14248063, 151319079, 57472462, 22676141, 54507159, 34088334, 15072477, 43176167, 1271261, 91778936, 6011126, 9811063, 35615106, 11712567, 30480996, 19490018, 8449349, 22945594, 12109, 50352180, 22429494, 3894685, 102054269, 17280545, 8742330, 2697627, 14264058, 5564078, 46963576, 28538266, 75254965, 45329772, 27794976, 18535310, 39071127, 30067172, 26888288, 7882061, 15417166, 1478516, 14648640, 31897130, 23859231, 11872845, 11447161, 39979730, 113255260, 30384576, 1678210, 102854649, 6029628, 11128502, 28194980, 10054555, 12439755, 12467909, 20588532, 38163492, 687837, 31134821, 16772453, 15812538, 70737589, 86322430, 13463882, 23576199, 8841244, 23136344, 26556088, 119886606, 74453127, 20315466, 28854300, 7492623, 8702321, 19222845, 764587, 155559930, 9904138, 15323433, 39603277, 30702354, 3967556, 22447868, 64410245, 76427133, 21355524, 112277713, 54951571, 3824292, 22497368, 10655704, 3630343, 33959348, 1250663, 13069568, 39972636, 3769254, 14187457, 11463653, 21631739, 5215278, 15166187, 15253757, 6464083, 78707398, 40782327, 4957152, 15237833, 59175905 ], [ 329493311, 75324996, 57332646, 27543629, 136245013, 38081745, 5481880, 117250155, 42081744, 46404407, 11836062, 49310546, 71615469, 75666424, 98151237, 84982133, 36090254, 148363555, 5312691, 138673085, 29984501, 80782010, 54507159, 34088334, 84389921, 117016792, 73230611, 39720231, 109739850, 21147669, 75153086, 41544785, 52282918, 75366654, 9919743, 22598478, 69392178, 31444069, 12969820, 49588790, 188043164, 17280545, 98787651, 124972417, 91330508, 181581527, 72660135, 145062040, 277437859, 76181896, 26014536, 117142735, 111175371, 85157401, 39254317, 74826905, 107832807, 27624956, 124904077, 31897130, 35213388, 151916405, 33395442, 277384319, 189630616, 126029754, 131606927, 11729070, 6029628, 8937545, 32827286, 41498887, 170650484, 60124172, 88655783, 11067886, 28060046, 50075871, 16772453, 138332286, 178305860, 33612121, 104759476, 59730645, 7835358, 23136344, 87176901, 143590005, 71253104, 25966059, 120778936, 7492623, 174890543, 127285520, 79091183, 5229812, 49803073, 43573138, 97770868, 11632480, 82015924, 79870237, 64410245, 112236543, 200564266, 42055225, 1030147, 291330493, 35164341, 63829230, 62345459, 84434744, 47260902, 13069568, 296874181, 77874438, 123359600, 26626145, 39902837, 51565532, 43942944, 67476139, 919956, 44028990, 121948505, 144915952, 13252763, 158189237 ], [ 24568957, 72891720, 56704424, 43163193, 9930512, 83387888, 58698206, 2963064, 42081744, 16677736, 33741451, 33949053, 83407527, 72560605, 57273016, 36980156, 18518610, 14528404, 51287163, 564141, 29848094, 46042705, 21272880, 91592187, 8151623, 43176167, 16674892, 25917163, 4139590, 9811063, 32318278, 48525486, 23472892, 79774038, 165203497, 45574469, 59625208, 51638926, 15401438, 1463772, 52313730, 28394784, 122478019, 124972417, 210379947, 44570338, 70395761, 158802343, 158281515, 35055353, 26014536, 40343785, 12789386, 49643662, 17366602, 13802806, 148435047, 44354397, 14648640, 79400751, 10098227, 36211929, 33395442, 18645977, 72999968, 116877712, 17337345, 156035084, 6029628, 11128502, 73501528, 104722467, 13109619, 60270550, 71469682, 11067886, 39663821, 8338280, 29660403, 19249411, 197633367, 28654178, 80919108, 59730645, 33589083, 23974405, 81758297, 53304934, 52984891, 73828439, 98762530, 260629199, 77572742, 19222845, 7419018, 88201049, 5674697, 43573138, 31635542, 32328827, 77385204, 22447868, 64410245, 132992065, 85650521, 30180049, 101086328, 58570577, 12821873, 42208501, 31533926, 28438216, 93916262, 75181303, 4883447, 27509593, 11521045, 4758860, 24346444, 83135938, 10094996, 58363570, 919956, 12797032, 24638621, 159823085, 32594470, 119904947 ], [ 113659710, 22529708, 58936418, 39419753, 1773737, 53865188, 9664935, 10728620, 42081744, 28897431, 11836062, 17470031, 8799657, 32351205, 4724026, 41196134, 36090254, 47155293, 21654249, 35896512, 51219801, 46042705, 54507159, 34088334, 18345311, 3571107, 70439458, 39720231, 36979083, 9811063, 47520385, 1452202, 42052019, 10967976, 9520884, 22598478, 70885354, 30595570, 23580742, 48807174, 43652270, 9182292, 114412716, 744442, 90862961, 160633157, 46963576, 33027000, 54237296, 52133795, 24144608, 2322719, 131480706, 28922729, 60316604, 13802806, 89837193, 7865970, 14648640, 31897130, 7624188, 146962618, 42297499, 15008321, 57628671, 23458859, 1678210, 20876282, 6029628, 11128502, 115676548, 605505, 26179740, 89533723, 20588532, 11067886, 11936989, 62078491, 19353368, 15812538, 12183523, 51068483, 6244249, 45077948, 48897944, 23136344, 10289852, 143590005, 9069193, 33417988, 16479807, 2933573, 8702321, 2279026, 764587, 5229812, 33887047, 15323433, 17408166, 3962925, 3967556, 22447868, 48659214, 88710090, 9430861, 54760114, 11141885, 58570577, 12821873, 87503740, 3630343, 26827882, 1250663, 13069568, 24842932, 71561743, 14187457, 26626145, 24346444, 7393291, 32182005, 15253757, 48132162, 12797032, 70979084, 49757387, 32594470, 20795764 ], [ 26167352, 13262061, 20551867, 272801574, 70390093, 7829423, 81223123, 10728620, 47429823, 31794183, 151853792, 74243328, 84520594, 213140770, 57273016, 130913996, 35635354, 77664875, 36161704, 131129715, 29984501, 32090228, 27542228, 1526538, 151602450, 285087, 53767925, 31043805, 362233602, 21147669, 10147561, 48525486, 103851167, 19490018, 112930281, 107832548, 56163086, 88427717, 23580742, 64448995, 109594828, 74514401, 32890320, 124972417, 157947925, 181581527, 46963576, 166698315, 84387194, 56346379, 26014536, 87331021, 8988401, 67955405, 74241463, 98993784, 75770217, 84306054, 301099851, 28456691, 17639151, 35379752, 33395442, 57173112, 59294428, 118351178, 131606927, 12512447, 94420609, 11128502, 36350851, 18300819, 104330210, 11856924, 33384915, 116247650, 31159805, 43988455, 68080993, 29091973, 25257053, 12515124, 24766906, 179773307, 75852891, 49815907, 71541590, 13832127, 21518661, 73828439, 28854300, 7695343, 53375586, 41413921, 15727200, 5229812, 18601785, 43573138, 74867952, 107343912, 6496455, 36104330, 21134190, 37141184, 9595164, 60881301, 118407478, 18029310, 35164341, 94194490, 26152720, 141848495, 3314149, 194734734, 54283146, 77874438, 10218410, 9219250, 39902837, 90507478, 2205998, 131457363, 6464083, 39389127, 53169371, 17981361, 184257387, 120635486 ], [ 34451488, 37850569, 21173329, 80487212, 102196809, 7829423, 103074627, 48927969, 119218474, 68929824, 158437924, 12897912, 31083144, 186727059, 35881504, 88838937, 35635354, 25841779, 12913358, 101486490, 83217922, 48139158, 54507159, 3483270, 43722381, 43126902, 69699452, 31043805, 4139590, 21147669, 10147561, 226075100, 22531066, 6952233, 9919743, 89871372, 52703755, 181438073, 82956858, 37153598, 20483432, 10259202, 34362516, 124972417, 239972320, 5564078, 166347001, 5528881, 60233218, 2414303, 26014536, 72247099, 151498536, 51072326, 19552087, 43544783, 42397331, 49122919, 12532655, 81287257, 3042389, 48287149, 13081796, 48164330, 59929893, 23458859, 40160651, 12512447, 61481723, 11128502, 24161176, 18300819, 16268261, 60270550, 6876818, 94449962, 48982349, 77484343, 68080993, 19249411, 56454059, 12515124, 14834384, 133862971, 8841244, 23136344, 31450107, 13832127, 48669013, 71830930, 4721944, 7492623, 35881988, 1932102, 15727200, 59706112, 56470513, 43184542, 167337870, 22205311, 144791976, 79870237, 50952342, 28107, 125055623, 60881301, 146392488, 21571738, 43070149, 13538142, 27387646, 141848495, 104410343, 22806373, 52116171, 34240579, 10218410, 9219250, 67899916, 7574241, 42277244, 16230678, 85358323, 155066431, 62547840, 15123677, 35388483, 10498243 ], [ 24568957, 83328899, 91521943, 74511019, 136245013, 32711496, 41532827, 127325233, 73387071, 77586627, 60770652, 74243328, 5231720, 82853385, 220839074, 158902529, 18518610, 148363555, 46959627, 129698673, 130173881, 9668151, 48133062, 117605892, 8151623, 14144875, 167841713, 4086075, 4139590, 21147669, 92691441, 4131998, 33588870, 75366654, 9919743, 75678157, 37734786, 27492701, 240537181, 21690663, 56845272, 124550739, 49905013, 124972417, 210379947, 57317810, 111351961, 127497359, 144185530, 56346379, 26014536, 2025381, 12789386, 42624056, 98129014, 16473599, 75770217, 25087671, 9430524, 108189313, 64474081, 163526627, 68475918, 48164330, 2663878, 125194694, 40160651, 12512447, 50326426, 2465021, 112107439, 104722467, 104330210, 60270550, 2603040, 29962433, 31236690, 62430965, 19353368, 19249411, 72967934, 156045941, 70580580, 26791723, 179762713, 23974405, 134580896, 129906224, 39498949, 73828439, 89003917, 7492623, 174347531, 19222845, 15727200, 103915445, 47946239, 43573138, 114793140, 34800999, 25234297, 147994163, 48659214, 239518909, 19412238, 60881301, 54262985, 21571738, 35164341, 93775422, 31533926, 24483515, 108892514, 16286261, 54283146, 77874438, 14187457, 266470597, 146705618, 83135938, 32182005, 57895621, 183488793, 39389127, 62547840, 1832243, 54663602, 82023210 ], [ 132188052, 97085922, 109145533, 185555750, 125013236, 29709941, 132516232, 52880821, 47429823, 240959826, 151853792, 55136879, 84520594, 119625111, 429489203, 19976810, 35874415, 304913, 68578574, 56392526, 7183235, 171549254, 54507159, 34088334, 31189784, 47168326, 132129810, 75995835, 2845619, 193791314, 182484876, 247786119, 130629805, 91141172, 3490944, 107832548, 118469328, 90589342, 240537181, 2486925, 85422202, 40889447, 49905013, 300003032, 56922905, 181581527, 8899107, 142574395, 116687584, 85786520, 26014536, 39656652, 6903960, 29646401, 17366602, 144833653, 15417166, 71019915, 207749515, 72060624, 22719135, 112059686, 166247101, 9887972, 122351638, 145002472, 40160651, 55337329, 200834672, 116942497, 22704879, 166078129, 43998752, 60270550, 55101405, 121958796, 142157452, 25014687, 154948839, 19249411, 76332171, 106157112, 24766906, 183263655, 337930713, 18626228, 143989921, 13832127, 36523646, 73828439, 119485024, 114032897, 233341923, 19222845, 97838497, 5229812, 47946239, 43573138, 8006431, 148252258, 156622523, 79870237, 52718830, 114835017, 77540644, 246766272, 160122026, 43313435, 35164341, 58861189, 31533926, 66045757, 195386082, 148146015, 12780855, 77874438, 10218410, 9219250, 39902837, 22717768, 42277244, 16340491, 87110961, 30294394, 73978516, 192034758, 54663602, 71454489 ], [ 24568957, 97085922, 90283397, 27543629, 136245013, 168197060, 123781816, 253210996, 212813808, 55614629, 42493755, 74243328, 581168976, 216851006, 326699831, 120030736, 35635354, 50208565, 145452590, 23242567, 57071156, 51116630, 54507159, 117605892, 451292953, 130524507, 10281903, 19612394, 172150186, 269526111, 91018882, 73925885, 130629805, 209947214, 93282730, 271565883, 15948992, 12448949, 12969820, 194479144, 201567491, 16195468, 84751845, 45720995, 210379947, 181581527, 59687196, 160414707, 412147871, 18469628, 26014536, 17067399, 51243350, 232049300, 44649058, 179284140, 150297122, 57201521, 11163758, 349006377, 115403208, 163526627, 166247101, 47980771, 240291098, 189038725, 148810688, 107018213, 68295644, 11128502, 224436269, 48959813, 144387996, 272079305, 96982704, 121958796, 102379820, 331600116, 80381280, 382184785, 49030490, 167155196, 61363746, 140116245, 7835358, 31608888, 119891652, 143590005, 164359511, 132226325, 207822577, 100058244, 100685828, 338810044, 20286424, 104997302, 98189046, 43573138, 97770868, 68055126, 42362674, 115854557, 64410245, 261875055, 24043563, 86654218, 160122026, 191913428, 35164341, 340308547, 313304081, 344513851, 34900327, 311327123, 224862907, 77874438, 6292514, 84967719, 65373577, 19751518, 56526148, 998408004, 183488793, 78707398, 16846091, 104379772, 161831401, 158189237 ], [ 48319627, 88784535, 91521943, 35722677, 136245013, 7829423, 81223123, 130453420, 65730728, 111941412, 148368045, 184577680, 71615469, 47432504, 57273016, 21736456, 35635354, 148363555, 435357267, 138673085, 29984501, 60645666, 54507159, 34088334, 302913087, 43176167, 9823384, 8874972, 4139590, 9811063, 10147561, 83507718, 4618230, 91141172, 9919743, 15893949, 85660278, 220167623, 162586864, 74721729, 188043164, 302587038, 98787651, 289619095, 435096398, 181581527, 180386143, 145062040, 65061345, 140828493, 26014536, 120801518, 166540792, 49539256, 47110452, 5582626, 17628513, 195371164, 319918769, 111922880, 202973759, 111407939, 33395442, 74046888, 80829125, 137077539, 131606927, 111013474, 13647088, 101846514, 140177897, 18300819, 25192738, 60270550, 20588532, 116247650, 80339884, 27041532, 169109617, 19249411, 94342503, 10158467, 296710329, 157912858, 228060825, 23136344, 120078577, 108754104, 36523646, 164468550, 307677094, 7492623, 211406777, 94201388, 19873595, 113269742, 47946239, 43573138, 106221674, 172106652, 154176910, 22447868, 366533490, 93979583, 184282917, 145844828, 160122026, 22363283, 35164341, 171709952, 168782422, 152283894, 26210917, 40907352, 54283146, 24923242, 69370192, 133875519, 24346444, 1053920, 240056880, 76350134, 20286808, 78707398, 149975785, 306629280, 54663602, 81159617 ], [ 34451488, 22529708, 9024081, 76028689, 22474542, 7829423, 17837375, 49006875, 14727097, 74559679, 90727565, 55136879, 71615469, 160362567, 7894273, 91870382, 17741477, 44778422, 133149299, 128972561, 69861726, 80782010, 40985255, 34088334, 306351541, 47168326, 78324648, 123204366, 36979083, 9811063, 3901026, 30479417, 168067667, 28648154, 9919743, 23790152, 9365476, 21224022, 20239933, 168539864, 24449041, 128926742, 49905013, 56641813, 26866339, 67622238, 3930351, 177545, 49626127, 292181355, 26014536, 87331021, 166540792, 35141847, 11394528, 5213235, 24442330, 35165228, 16669277, 17463266, 23625052, 92008314, 24753116, 90837786, 29672070, 137077539, 16984917, 85464298, 70857863, 11128502, 47738403, 184232057, 26179740, 13681277, 6876818, 100467130, 129971693, 2585379, 68080993, 9000216, 49042019, 12515124, 24766906, 26791723, 61016156, 23136344, 98904193, 61318607, 48669013, 28662096, 103409359, 7492623, 2785568, 83888317, 62289908, 5229812, 9904138, 43573138, 267167339, 9350717, 124480032, 22447868, 64410245, 33373381, 9595164, 111375446, 1030147, 145603465, 35164341, 8113340, 54401950, 126464706, 108892514, 20602724, 211731564, 32676531, 102587368, 88993929, 24346444, 94962878, 51613150, 8843902, 7194354, 78707398, 123817912, 4957152, 91047311, 59881781 ], [ 26167352, 79257412, 91521943, 137825873, 136245013, 49446834, 3430408, 10728620, 47429823, 22783534, 16654773, 74243328, 160386022, 30073193, 34559782, 31653922, 7619152, 141745669, 175032861, 131129715, 29984501, 83754180, 54171904, 34088334, 15072477, 47168326, 70439458, 31043805, 34996821, 18419991, 10147561, 110400755, 33744510, 41846948, 45263395, 180270267, 20098545, 94666939, 17640610, 19506752, 11142073, 30692901, 15986411, 124972417, 157947925, 10151165, 2142306, 120103724, 28791263, 31194521, 26014536, 48322024, 6903960, 595489, 74241463, 89522733, 62455482, 108771973, 25272896, 129046407, 97448930, 75547099, 33395442, 76973239, 758187, 49573319, 40160651, 12512447, 77858347, 11128502, 95966470, 18300819, 37950454, 89533723, 33384915, 234777735, 117494400, 153382927, 32843351, 26225179, 57535088, 12515124, 24766906, 45077948, 6171163, 23136344, 127004769, 103012952, 10719160, 73828439, 94868360, 49536567, 23401976, 19222845, 15727200, 5232805, 47946239, 43573138, 41613335, 63858491, 17027056, 79870237, 22173503, 51432934, 59382237, 10148911, 30323144, 21571738, 47341948, 170075653, 94127146, 139982246, 19566567, 362575, 12780855, 77874438, 22628002, 40852146, 1231057, 20008638, 7805551, 10373119, 82627888, 12797032, 136348263, 29646304, 32505446, 20992196 ], [ 20242946, 97085922, 39319187, 286109240, 33277103, 49446834, 34444996, 10728620, 9830850, 41997364, 259833699, 5722016, 84520594, 42278554, 168196837, 127406295, 35635354, 27046404, 42310155, 131129715, 97304613, 126670852, 45201766, 76233747, 15072477, 47168326, 97153149, 31043805, 4139590, 21147669, 10147561, 110400755, 13192576, 189098195, 62796353, 180270267, 140274632, 106627686, 23580742, 14017762, 87950260, 74514401, 148586824, 45720995, 140627357, 10151165, 46963576, 168952269, 84387194, 7525417, 26014536, 36602426, 6903960, 45372010, 74241463, 13555269, 179471924, 108771973, 14648640, 33918957, 64474081, 14572170, 104240895, 14707594, 39085807, 119858516, 2235822, 20876282, 7743794, 11128502, 120969466, 18300819, 79698860, 52238823, 64445430, 31398548, 125969088, 3622104, 68080993, 19249411, 136839348, 12515124, 24766906, 71885531, 70291863, 23974405, 139678059, 143590005, 61788003, 189294309, 69025116, 365274, 8702321, 19222845, 208109528, 5232805, 113461032, 14426585, 91356891, 118518227, 38645547, 79870237, 22173503, 248598378, 72897046, 47516633, 288287053, 87905953, 11775402, 8113340, 31533926, 136586254, 131343329, 121173633, 12780855, 71561743, 14187457, 36215336, 62856254, 34438843, 7805551, 67476139, 42882095, 151942438, 306721294, 50990876, 54663602, 12163630 ], [ 34451488, 97085922, 91521943, 157120283, 136245013, 223538210, 34444996, 9575149, 9830850, 101863845, 150685462, 74243328, 71615469, 120576052, 60931390, 29099988, 35635354, 113128695, 213733292, 131129715, 97304613, 83754180, 45201766, 34088334, 15072477, 47168326, 13003503, 31043805, 50960855, 21147669, 10147561, 10244280, 86073079, 86439671, 9919743, 107832548, 20098545, 33093107, 23580742, 36700884, 87950260, 30692901, 81517578, 14539178, 7150152, 10914927, 22487531, 28538266, 61716194, 45529521, 26014536, 87331021, 6903960, 51072326, 74241463, 106487485, 45595702, 22511935, 38478205, 370251345, 35055757, 35379752, 66208350, 42752385, 77097147, 114044456, 6600, 79939435, 7743794, 11128502, 49544089, 18300819, 2585693, 11856924, 187907533, 81563329, 104659761, 153263252, 32843351, 26225179, 18999225, 12515124, 24766906, 45077948, 70291863, 23136344, 9650165, 86476016, 10719160, 1586059, 10532315, 7492623, 17842279, 19222845, 88072660, 1468993, 242640728, 14426585, 36576842, 165188381, 90727368, 219387381, 64410245, 208129878, 23382202, 10148911, 25345144, 3824292, 41591781, 29612764, 40209433, 11050242, 34900327, 362575, 12780855, 8925779, 60428375, 5217714, 39902837, 11520981, 227544773, 204490051, 67497535, 238379430, 30813242, 45892593, 39011870, 86628129 ], [ 26167352, 73957937, 90283397, 27899268, 90234876, 7829423, 88852592, 10728620, 9830850, 13277239, 22629165, 74243328, 156069575, 57735337, 60931390, 120030736, 35635354, 13983601, 45008831, 2379434, 130173881, 27762995, 54507159, 34088334, 15072477, 91303535, 7868675, 42457245, 19995754, 9811063, 10147561, 30479417, 28190702, 19490018, 51134334, 41845649, 20098545, 125350875, 23580742, 14017762, 87950260, 28262806, 67042467, 14539178, 20220556, 10151803, 8899107, 124994686, 49456256, 18469628, 68774826, 86665551, 6903960, 51072326, 98129014, 13802806, 179471924, 30559600, 39065278, 82513676, 22719135, 26485605, 43873508, 40389028, 77097147, 114044456, 40160651, 20876282, 68295644, 11128502, 65127504, 18300819, 26179740, 12467909, 56193605, 51136416, 91660322, 156856293, 1864216, 1081391, 34174321, 19882501, 40525522, 38771833, 70291863, 15147989, 34081857, 21325421, 9535770, 73828439, 28854300, 13331112, 64105129, 19222845, 20286424, 5232805, 29930575, 43573138, 107376721, 68055126, 35783437, 9498304, 52718830, 5648562, 43226958, 2904225, 30097089, 16737181, 19607887, 8113340, 9839641, 103132492, 27123554, 6531870, 12780855, 12788432, 56456010, 36215336, 3198598, 34438843, 6170753, 164019630, 6464083, 151942438, 100424725, 104379772, 124562973, 4334444 ], [ 34451488, 31766904, 4923240, 7150769, 136245013, 17278764, 5481880, 10728620, 31816588, 16963829, 94915091, 34518685, 32943424, 117679936, 22090208, 81504551, 35635354, 50208565, 200552602, 2379434, 21254404, 32090228, 29580094, 60749655, 15072477, 43176167, 13003503, 137670586, 50960855, 21147669, 10147561, 73925885, 49821041, 84314686, 57270658, 69053441, 20098545, 88427717, 23580742, 26723723, 36108440, 74514401, 157984929, 14539178, 39853586, 181581527, 46963576, 133094333, 77373539, 18469628, 26014536, 47636826, 51243350, 28863318, 74241463, 86751626, 45905306, 375893795, 11163758, 33823205, 86580558, 152534361, 33395442, 74046888, 24101910, 112392273, 40160651, 37059473, 25593769, 11128502, 47738403, 18300819, 2585693, 67507534, 110661546, 49670432, 91660322, 12880547, 1864216, 26225179, 48829120, 12515124, 24766906, 117292107, 42126297, 57343845, 9650165, 21325421, 35603996, 73828439, 189042893, 13542446, 77572742, 19222845, 20334439, 17782452, 108216907, 43573138, 140611453, 68055126, 38645547, 36104330, 64410245, 195309452, 29603894, 104883979, 2331077, 18029310, 7958284, 92632129, 26152720, 6290379, 3314149, 75222315, 66486379, 77874438, 142519476, 5217714, 54561493, 34438843, 24859175, 67476139, 30486719, 33348846, 140295238, 95588817, 183648095, 123716021 ], [ 34451488, 14156052, 72257916, 7150769, 86909672, 7829423, 75814803, 10728620, 9830850, 57903620, 10083401, 45332816, 84520594, 108588767, 22090208, 59170089, 21648735, 4961308, 135901753, 131129715, 29984501, 104300478, 54507159, 38077252, 83220892, 34974794, 132129810, 31043805, 4139590, 21147669, 10147561, 36729551, 34877953, 120817568, 57270658, 176340726, 28206469, 39566957, 23580742, 80415472, 85422202, 74514401, 114412716, 23365990, 39853586, 12150853, 46963576, 160414707, 84387194, 18469628, 26014536, 51004141, 51243350, 28863318, 17366602, 39193901, 179471924, 108771973, 11163758, 260265239, 158797920, 163526627, 33395442, 9104048, 77097147, 112392273, 6398732, 69175527, 7743794, 11128502, 84929942, 18300819, 2585693, 42609276, 99607073, 94449962, 142157452, 12880547, 24397799, 19249411, 51257177, 12515124, 22725182, 133163494, 70291863, 31608888, 137289046, 13832127, 61788003, 31631278, 119485024, 151797824, 9277716, 16924391, 97838497, 5232805, 29930575, 14426585, 107376721, 68055126, 207472463, 180369657, 7145079, 46225723, 20066612, 27528998, 150515002, 43313435, 228782866, 8290107, 31533926, 18245555, 34900327, 55223010, 170766797, 77874438, 10218410, 9219250, 54561493, 34438843, 42277244, 231798874, 87110961, 234487367, 333147, 166270172, 36826393, 158189237 ], [ 66944519, 32986793, 91521943, 76633906, 90407784, 7829423, 100774281, 10728620, 11338106, 96869677, 150685462, 40185144, 71615469, 174118816, 22090208, 51959001, 11806424, 148363555, 106435934, 138673085, 69861726, 33240531, 13717670, 34088334, 10741393, 12171736, 70439458, 38407563, 49492879, 21147669, 10147561, 804298, 91637449, 19490018, 9919743, 107832548, 89979232, 147319815, 9985536, 64448995, 87950260, 26317362, 71069862, 97674379, 24402478, 181581527, 49919497, 145062040, 67487257, 176925783, 26014536, 140354063, 44011093, 21802511, 62202479, 69303228, 62931609, 33133991, 25272896, 153594327, 55648843, 163526627, 80522060, 112117937, 77097147, 4770883, 6600, 20876282, 25593769, 11128502, 110731659, 18300819, 37333848, 12467909, 20672687, 81563329, 141388514, 12880547, 71669074, 26225179, 169709125, 70360465, 205135835, 133163494, 53308058, 23136344, 59978117, 143590005, 74453127, 356435773, 15945830, 7492623, 17842279, 19222845, 199466645, 5229812, 40298243, 43573138, 215538027, 81208466, 37026304, 195290557, 26338059, 14786715, 70528555, 6358199, 125331544, 43313435, 26093144, 94194490, 49793696, 60309211, 17980645, 44661033, 54283146, 8925779, 122363455, 9219250, 35958358, 34438843, 282817243, 124045187, 6464083, 78707398, 82142274, 45297224, 13486249, 8385885 ], [ 73278332, 39301225, 91521943, 7150769, 136245013, 7829423, 81223123, 10728620, 47429823, 101710685, 11836062, 58235679, 71615469, 174318478, 57273016, 21736456, 35635354, 8235892, 14546079, 9029185, 7083997, 104300478, 54507159, 34088334, 37970278, 34974794, 9823384, 19528142, 50960855, 21147669, 10147561, 30479417, 130629805, 7533422, 9919743, 15893949, 75183457, 73676270, 23580742, 64448995, 87950260, 4170021, 18593728, 124972417, 39214108, 72681927, 8899107, 5528881, 146313661, 18469628, 26014536, 71522084, 111175371, 51072326, 8693883, 47073719, 150297122, 66324518, 131532621, 161695265, 22719135, 46481541, 33395442, 35665694, 180005608, 117575854, 26104885, 20876282, 126674761, 11128502, 89756829, 18300819, 2585693, 18583904, 74987511, 29962433, 1375471, 43576461, 44841138, 108979105, 70737589, 51068483, 1900348, 45077948, 7835358, 23136344, 119891652, 99141108, 36523646, 73828439, 12983430, 5193768, 77572742, 19222845, 31924856, 5229812, 26063013, 43573138, 54356096, 63975941, 30869059, 74074633, 52718830, 33373381, 144707236, 134518649, 74355201, 43313435, 7958284, 94194490, 24500143, 18245555, 47260902, 49481769, 54283146, 77874438, 63583366, 9219250, 22816936, 22717768, 105648214, 10996978, 919956, 39724630, 12114064, 19034114, 39011870, 81159617 ], [ 24568957, 13262061, 91521943, 126079713, 70390093, 7829423, 60053269, 10728620, 38287591, 115696600, 11836062, 5722016, 71615469, 69439694, 168196837, 11534976, 7619152, 148363555, 51287163, 57665587, 29984501, 33240531, 13717670, 34088334, 47527318, 47168326, 114940780, 39720231, 50960855, 18419991, 10147561, 70712698, 130629805, 19490018, 9919743, 271565883, 140274632, 57957112, 9985536, 63821105, 87950260, 74514401, 17055804, 124972417, 91330508, 87942832, 46963576, 11190101, 327659103, 17340267, 26014536, 86665551, 19456357, 51072326, 115547, 34775875, 22877542, 126129628, 66967279, 230602455, 404358477, 163526627, 33395442, 99236874, 758187, 4770883, 40160651, 12512447, 94420609, 11128502, 65080746, 11503741, 104330210, 12467909, 33384915, 77334314, 142157452, 137248858, 140824808, 108979105, 11892364, 167155196, 24766906, 179773307, 138451673, 23136344, 43319394, 28411838, 36523646, 73828439, 28854300, 5193768, 77572742, 19222845, 15727200, 87190736, 47946239, 43573138, 61738332, 27267865, 207472463, 115583993, 53806064, 79038199, 17147703, 60881301, 36849268, 21571738, 20953012, 61382297, 31533926, 60309211, 17980645, 194734734, 54283146, 77874438, 122363455, 9219250, 146705618, 22643413, 152954922, 277962867, 919956, 12797032, 78854301, 67233881, 194455763, 38115469 ], [ 73278332, 13262061, 57332646, 7150769, 33277103, 7829423, 31405276, 2963064, 163212412, 204697655, 11836062, 6326504, 71615469, 75666424, 57273016, 63008251, 18518610, 19389943, 46580370, 12230160, 29848094, 18055061, 52292132, 16439853, 8151623, 115585861, 16674892, 5432891, 30777542, 9811063, 10147561, 48525486, 21438948, 19490018, 9919743, 18914570, 48222143, 49917506, 86884185, 10359410, 87950260, 13424672, 98787651, 124972417, 29750484, 10914927, 8899107, 28538266, 57139815, 40251806, 1355684, 77325124, 6903960, 28863318, 98129014, 13802806, 62931609, 27624956, 25272896, 82513676, 22719135, 96510512, 33395442, 173936168, 2663878, 137077539, 40160651, 45165563, 50326426, 11128502, 35979625, 18300819, 26179740, 12467909, 29666591, 51136416, 55950860, 112889293, 24397799, 32017719, 11038962, 172954417, 48352524, 23507974, 26850711, 23136344, 31450107, 13832127, 94042713, 21258094, 28854300, 7492623, 8702321, 19222845, 95873138, 5229812, 47946239, 6384058, 104859824, 43667118, 141799632, 22447868, 52718830, 132992065, 51408379, 4327419, 46887196, 1636840, 7958284, 39156272, 9815567, 88436661, 3314149, 31420260, 12780855, 13721683, 10218410, 9219250, 24346444, 31463377, 42277244, 277962867, 919956, 36365581, 26256355, 14470948, 39011870, 41313697 ], [ 132188052, 30243011, 91521943, 43382058, 136245013, 109165970, 81223123, 10728620, 11338106, 246907843, 119367130, 53470687, 84520594, 57735337, 50053741, 127406295, 35635354, 30847397, 233447030, 16546424, 29984501, 7191698, 54507159, 34088334, 34078856, 47168326, 208464249, 93150329, 4139590, 21147669, 10147561, 48525486, 33744510, 91141172, 130064242, 31685849, 11549972, 311384949, 9985536, 152459903, 29972900, 19994467, 67042467, 124972417, 133202078, 181581527, 46963576, 142902414, 66252664, 85786520, 26014536, 86665551, 6903960, 51072326, 2150421, 10654555, 177760154, 108771973, 11163758, 129046407, 267936099, 34282598, 33395442, 93764718, 77097147, 4770883, 40160651, 79939435, 6005507, 11128502, 98702426, 18300819, 73522015, 60270550, 64445430, 121958796, 142157452, 105070792, 32843351, 19249411, 41445570, 19213264, 24766906, 71885531, 70291863, 23136344, 170647244, 143590005, 10719160, 73828439, 30200698, 350346165, 77572742, 19222845, 25784813, 5229812, 29930575, 43573138, 34446864, 148252258, 99357158, 145125624, 12046729, 50019746, 80291893, 246766272, 142324235, 15969834, 35164341, 8113340, 31533926, 306378865, 17980645, 362575, 12780855, 77874438, 40615485, 40852146, 17555255, 22717768, 171426163, 110045244, 16938568, 78707398, 144500420, 166270172, 54663602, 8385885 ], [ 24568957, 13305228, 52245971, 116655872, 35043628, 28629591, 99240994, 10728620, 11338106, 227422075, 111594686, 58519521, 79326270, 47432504, 54241451, 440431024, 20917135, 58008113, 129021395, 6998635, 186496269, 176407070, 54507159, 60238557, 42840320, 32464945, 58205030, 46274253, 50960855, 6555506, 10147561, 83507718, 25297125, 327734604, 25861083, 107832548, 4199574, 48303051, 23580742, 194479144, 87950260, 74514401, 89956363, 94848182, 92349722, 10914927, 10390315, 23503598, 94567764, 29578347, 26014536, 7980156, 10411787, 19186754, 34066122, 10654555, 177760154, 241056457, 129080427, 82099561, 132099540, 11760451, 34900825, 115590436, 1958271, 23458859, 40160651, 5412935, 6005507, 11128502, 19567076, 11503741, 104330210, 35816350, 42930568, 68337312, 110310418, 52275884, 8601732, 208638231, 41445570, 6306853, 73106493, 71885531, 58946077, 155174923, 7112617, 108754104, 136300515, 73828439, 66873785, 9952316, 77572742, 19222845, 20286424, 5229812, 10604625, 43573138, 5316044, 81208466, 124480032, 79870237, 3172646, 79038199, 72897046, 111375446, 10328263, 56759152, 35164341, 8113340, 19506101, 88436661, 34900327, 41014787, 54283146, 13721683, 36231807, 172256682, 39902837, 1053920, 2205998, 67476139, 919956, 57265303, 177942624, 84347372, 52134026, 8385885 ], [ 26167352, 2248874, 54054364, 137825873, 62709169, 49446834, 34444996, 10728620, 40835386, 130105926, 111594686, 45332816, 84520594, 43180192, 7507939, 51959001, 7619152, 10250157, 44034599, 477735, 29984501, 7191698, 45201766, 34088334, 15072477, 47168326, 90066112, 31043805, 4139590, 7074274, 10147561, 73925885, 33744510, 86439671, 77008103, 49566664, 20098545, 132499423, 23580742, 5025457, 87950260, 74514401, 152477209, 12103200, 48465520, 12349849, 31255127, 124994686, 84387194, 18469628, 26014536, 87331021, 6903960, 28863318, 2150421, 10654555, 45905306, 40797103, 14648640, 129046407, 16921009, 49867426, 33395442, 15008321, 758187, 91537640, 40160651, 79939435, 6005507, 11128502, 127216809, 18300819, 104330210, 60270550, 224973781, 121958796, 142157452, 69715463, 24397799, 19249411, 41445570, 12515124, 24766906, 33481450, 20346269, 18759653, 59257350, 143590005, 119295825, 59176401, 94868360, 107962630, 53375586, 19222845, 20286424, 5232805, 29930575, 43573138, 34446864, 68055126, 90727368, 178452344, 64410245, 162805817, 56046697, 10148911, 16146475, 3824292, 132075895, 52004240, 31533926, 109796449, 8347748, 37800127, 12780855, 77874438, 14187457, 9219250, 54561493, 34438843, 2205998, 179767297, 87110961, 12797032, 100424725, 102896638, 32594470, 117524156 ], [ 34451488, 79257412, 40672129, 53684186, 136245013, 178248145, 29738778, 10728620, 9830850, 22783534, 150685462, 15054942, 13372239, 110375111, 22090208, 59170089, 21648735, 148363555, 61191946, 131129715, 14547668, 7191698, 54507159, 35448400, 15072477, 47168326, 173511124, 31043805, 4139590, 21147669, 10147561, 243052931, 33744510, 12880190, 188736107, 41163899, 43189759, 320441286, 23580742, 143042690, 87950260, 74514401, 114412716, 107106667, 39598691, 12150853, 46963576, 11190101, 84387194, 45529521, 26014536, 10030682, 6903960, 51072326, 30581879, 87103583, 162803235, 22511935, 11163758, 129046407, 116777492, 163526627, 33395442, 42752385, 77097147, 112423991, 40160651, 3934247, 200834672, 11128502, 127216809, 18300819, 89339897, 60270550, 64458260, 94579031, 43604172, 12880547, 54297741, 1081391, 76332171, 12515124, 12952238, 45077948, 70291863, 194099787, 136229820, 134674203, 61788003, 18304533, 95579841, 57539467, 11638314, 19222845, 25784813, 17782452, 29930575, 43573138, 107376721, 63858491, 187128835, 9498304, 7145079, 53269631, 121112652, 4696912, 172952325, 3824292, 106621987, 173357640, 31216632, 86645591, 34900327, 42449850, 12780855, 77874438, 29906894, 36215336, 37085745, 34438843, 247674633, 95242775, 89669858, 67371950, 78854301, 308223649, 32505446, 117196834 ], [ 40946286, 97085922, 113505080, 80487212, 130790748, 65630012, 107883131, 315969607, 379716897, 419764711, 42493755, 74243328, 71615469, 117679936, 168196837, 105822610, 37787080, 29437317, 172683996, 128972561, 48757041, 529249463, 54507159, 34088334, 116257715, 354784116, 13003503, 137670586, 152975884, 254801734, 10147561, 243052931, 73482447, 209947214, 9919743, 107832548, 363853877, 46274892, 553153402, 101321538, 206084155, 302587038, 98787651, 124972417, 251836186, 72681927, 144392604, 5528881, 106526601, 405152753, 26014536, 217532355, 149191889, 123585781, 98129014, 298169322, 179471924, 196229512, 14648640, 541504387, 243009117, 152534361, 166247101, 48164330, 332387802, 112392273, 128874085, 33650628, 25593769, 11128502, 415249929, 18300819, 200229738, 272079305, 101984142, 121958796, 51997502, 12880547, 95255415, 220942899, 334235957, 75987369, 93224471, 133163494, 44399837, 23136344, 109281023, 45723755, 48669013, 399278224, 399090091, 7492623, 180641377, 266224920, 264493512, 5229812, 242640728, 41032468, 337942276, 714557380, 278003941, 195290557, 64410245, 33373381, 15764581, 36643396, 160122026, 62486712, 35164341, 94194490, 345666868, 152283894, 34900327, 194919342, 100454660, 77874438, 14187457, 5217714, 39902837, 14840353, 105648214, 184474737, 119669439, 78707398, 234437050, 499851953, 421260980, 93515659 ], [ 34451488, 22529708, 9024081, 117514230, 43322473, 7829423, 5481880, 10728620, 31816588, 16677736, 119367130, 7287072, 84520594, 19194131, 57273016, 26238577, 35635354, 115646117, 81957653, 138673085, 29984501, 171588189, 54507159, 34088334, 15072477, 117016792, 16461008, 19612394, 19995754, 18419991, 2624770, 14037027, 73482447, 219853, 20098098, 54336238, 89979232, 123969568, 23580742, 49588790, 87950260, 7658704, 168180112, 15274647, 242214637, 5564078, 90365535, 145062040, 182288992, 85786520, 26014536, 10030682, 6903960, 51072326, 98129014, 29246001, 62931609, 124954660, 68601867, 82513676, 55648843, 35379752, 33395442, 16204944, 39085807, 23458859, 10076911, 69175527, 25593769, 11128502, 66522081, 18300819, 31403192, 11856924, 234201539, 116247650, 48982349, 12880547, 51410817, 26225179, 231732760, 12515124, 12952238, 94155543, 6463709, 23136344, 136229820, 143590005, 36523646, 73828439, 52305622, 193514084, 11638314, 10267901, 88072660, 5229812, 74739751, 10682269, 96330681, 9350717, 106193622, 37718178, 64410245, 2842731, 70528555, 69894016, 16146475, 3824292, 96387823, 74113763, 31533926, 153436257, 103804387, 40931007, 12780855, 77874438, 64812788, 98162149, 39902837, 19751518, 51613150, 67476139, 89669858, 12797032, 16846091, 49757387, 164927748, 59881781 ], [ 1557585, 97085922, 40672129, 53684186, 86909672, 7829423, 29738778, 594612, 9830850, 29412339, 111594686, 74243328, 84520594, 61896739, 57273016, 21736456, 36090254, 29437317, 61191946, 138673085, 29984501, 46042705, 45201766, 34088334, 30149294, 47168326, 9823384, 100173022, 15225650, 9811063, 10147561, 48525486, 71879052, 19490018, 22427269, 15893949, 20098545, 6584236, 23580742, 22375065, 41170739, 17280545, 190086987, 6750336, 3168497, 12349849, 8899107, 97257504, 94567764, 34001117, 26014536, 10030682, 3911041, 28863318, 17366602, 13802806, 22738627, 174360267, 56289537, 4953182, 22719135, 35379752, 33395442, 6921616, 77097147, 89881786, 40160651, 3934247, 7743794, 11128502, 22822546, 18300819, 26179740, 11856924, 64445430, 94579031, 83075375, 90102240, 24397799, 108979105, 76332171, 208980214, 24766906, 39317301, 181297948, 22740229, 53873620, 99141108, 10640570, 73828439, 28854300, 107097353, 77572742, 19222845, 20286424, 5229812, 29930575, 14426585, 107376721, 32328827, 64590589, 15181059, 52718830, 51432934, 24043563, 150049881, 160122026, 3824292, 24247887, 8113340, 31533926, 136586254, 12638436, 362575, 12780855, 16059717, 39332021, 9219250, 1231057, 20008638, 147027979, 47843680, 6464083, 78707398, 112207669, 29646304, 36826393, 8385885 ], [ 34451488, 49987864, 4923240, 319642718, 33277103, 7829423, 81223123, 78251328, 11338106, 67012601, 42522121, 5722016, 71615469, 80958241, 141223797, 31653922, 84350094, 50208565, 5312691, 138673085, 21254404, 162905363, 29580094, 34088334, 75946383, 100847255, 17558543, 36563019, 4139590, 21147669, 74979006, 2379215, 28767354, 12880190, 9919743, 57662041, 75183457, 12448949, 163467739, 36700884, 24449041, 30692901, 98787651, 44297205, 39853586, 181581527, 2142306, 145062040, 463223, 18469628, 26014536, 87331021, 161036725, 51072326, 98129014, 34775875, 179471924, 110735501, 66967279, 189267697, 123106573, 121332639, 33395442, 15008321, 130954103, 152204219, 6600, 20876282, 29510379, 11128502, 65080746, 107498003, 2585693, 10700230, 64445430, 81563329, 26921739, 116644873, 17468944, 9000216, 160852422, 12515124, 61363746, 59730645, 12184028, 23136344, 59978117, 129853312, 15202585, 73828439, 1357031, 7492623, 8702321, 11743204, 79091183, 5229812, 33573692, 15323433, 36972947, 68055126, 124480032, 79870237, 64410245, 232333479, 45652776, 42055225, 74355201, 43313435, 7958284, 8113340, 26595740, 18245555, 9354720, 44661033, 157498963, 8925779, 22628002, 9219250, 39902837, 77706648, 32182005, 8843902, 85358323, 78707398, 100424725, 121744304, 54663602, 8385885 ], [ 14107149, 97067234, 57791115, 27543629, 86909672, 7829423, 24958943, 34842381, 47429823, 90305138, 98770052, 17470031, 114868483, 42278554, 60931390, 63008251, 35635354, 5114422, 51287163, 138673085, 155369916, 171588189, 54507159, 73384043, 17271424, 14144875, 1156155, 46274253, 50960855, 21147669, 10147561, 152572608, 13192576, 103716003, 22427269, 100200947, 28206469, 39566957, 9985536, 64448995, 38921735, 17280545, 2746479, 14539178, 7150152, 10151165, 3930351, 177545, 161215854, 89121664, 26014536, 56005611, 6903960, 49755262, 60801998, 147615616, 22738627, 251904208, 14648640, 31897130, 32070065, 764685, 43978709, 48164330, 33007520, 4770883, 40160651, 11529794, 16242110, 11128502, 53990024, 18300819, 154815980, 11856924, 105449809, 116247650, 110310418, 69715463, 95255415, 108979105, 173844939, 153155053, 24766906, 160147914, 7835358, 23974405, 9650165, 100320188, 34164230, 73828439, 49312830, 114173836, 23401976, 19222845, 61671762, 5229812, 29930575, 43573138, 192924562, 165188381, 187128835, 52668225, 22173503, 88710090, 33790723, 104883979, 51715620, 43313435, 35164341, 31737815, 119214787, 24483515, 17980645, 13069568, 12780855, 13721683, 14187457, 9219250, 39902837, 7755034, 7805551, 67476139, 37426293, 78707398, 14502796, 120708607, 30919033, 75920074 ], [ 22758017, 36539407, 91521943, 31312792, 4182635, 55262819, 60053269, 117287956, 15646647, 188569670, 42493755, 38819351, 79836881, 123179863, 18822375, 52926680, 35635354, 69607594, 51287163, 128972561, 7024757, 46042705, 17290841, 34088334, 21563779, 12171736, 16674892, 52765912, 4139590, 21147669, 10147561, 804298, 44382301, 40032663, 22427269, 78406266, 21408795, 12750219, 134099849, 101321538, 64222486, 17280545, 114412716, 1226951, 56922905, 72681927, 34507753, 5528881, 90949067, 75045565, 26014536, 17048306, 51243350, 30779471, 17366602, 34775875, 22877542, 64185138, 11163758, 31897130, 2470016, 103172480, 33395442, 23556993, 745699, 8767110, 51861704, 107018213, 22139557, 11128502, 10836348, 14483268, 20700258, 28358421, 274679480, 73953910, 53125713, 17685917, 10162984, 19249411, 63403956, 12515124, 9077832, 992261, 8138525, 23136344, 59978117, 104721923, 36523646, 35370332, 15945830, 8651038, 11521798, 8598391, 26139271, 19352424, 37119810, 43573138, 34881830, 1307595, 270692408, 11453787, 13556785, 25339270, 6430611, 36643396, 36849268, 37283921, 33442624, 68368223, 131238915, 96419578, 3161954, 13069568, 32287144, 77874438, 13022619, 40852146, 11257760, 22717768, 95056967, 33183095, 18803549, 30294394, 78570652, 41984020, 54663602, 7703788 ], [ 6925873, 36539407, 21173329, 22700031, 77632548, 7829423, 47222934, 10728620, 31816588, 22783534, 33741451, 4810019, 5021954, 39175709, 60931390, 11534976, 21648735, 19389943, 21654249, 4365136, 29984501, 418179, 44698635, 16439853, 15072477, 43176167, 53767925, 46274253, 36979083, 9811063, 10147561, 4276608, 73482447, 19490018, 9919743, 18914570, 28206469, 12448949, 23580742, 37153598, 25435369, 74514401, 731027, 14539178, 39598691, 9901299, 46963576, 33027000, 146313661, 18469628, 26014536, 10030682, 6903960, 28863318, 54048224, 10654555, 19594764, 22511935, 11163758, 34379776, 13736690, 14572170, 29661396, 6921616, 4568015, 23458859, 2235822, 3498867, 7743794, 11128502, 65080746, 18300819, 16268261, 12467909, 108418818, 28328164, 64072588, 25369199, 24397799, 7071017, 81887076, 99339, 14834384, 45077948, 132605470, 23136344, 56209145, 143590005, 21518661, 13109629, 25901517, 7492623, 47854487, 19222845, 20286424, 5229812, 29930575, 14426585, 26411500, 59239565, 56615439, 22447868, 38227043, 25339270, 9530250, 10148911, 2331077, 1636840, 100642515, 92632129, 26874402, 63079071, 1254245, 15844133, 12780855, 77874438, 14935790, 9219250, 13259227, 34438843, 23060614, 20750769, 6464083, 67371950, 40335839, 132466882, 32505446, 117524156 ], [ 261799762, 14156052, 20551867, 7150769, 136245013, 7829423, 28045903, 10728620, 11338106, 77985592, 11836062, 5722016, 71615469, 75666424, 114860348, 15234823, 18518610, 58008113, 36161704, 128972561, 29984501, 32090228, 54507159, 9848620, 8151623, 21434280, 147914446, 31043805, 4139590, 21147669, 10147561, 70581213, 44382301, 40032663, 9919743, 22598478, 138346727, 12448949, 23580742, 80415472, 20265390, 74514401, 98787651, 119511733, 91330508, 10914927, 46963576, 5528881, 84387194, 75083965, 26014536, 35578335, 8955225, 51072326, 19360243, 29246001, 27592648, 57345974, 11163758, 35222336, 200239799, 90454121, 33395442, 23556993, 29154377, 118351178, 40160651, 71913506, 50326426, 11128502, 93913472, 18300819, 89339897, 60270550, 37582260, 43492965, 110310418, 25369199, 40974264, 9000216, 99675904, 19882501, 24766906, 148421783, 17520731, 23136344, 71541590, 65859679, 48669013, 73828439, 66873785, 5193768, 20668402, 19222845, 75608266, 5232805, 26063013, 43573138, 114348028, 107343912, 138193814, 32382176, 64410245, 28666453, 12351580, 21093811, 47583747, 18029310, 18682798, 12848548, 26152720, 75701222, 3314149, 26601672, 92517729, 9524705, 14187457, 9219250, 53750632, 51565532, 51613150, 8843902, 42386113, 64718535, 102807686, 49757387, 54663602, 8385885 ], [ 78031969, 82209896, 72257916, 27543629, 136245013, 7829423, 134635099, 185642939, 9830850, 100425273, 151853792, 5722016, 110791431, 216851006, 101802765, 120030736, 17741477, 50208565, 103249388, 23242567, 69861726, 99847869, 54507159, 134493690, 81649881, 168620787, 10281903, 64536951, 50960855, 146302257, 10147561, 73925885, 28190702, 121862321, 19352756, 180270267, 75183457, 12750219, 425215390, 109689335, 87950260, 154929301, 84751845, 45720995, 64597700, 45054839, 273414384, 5528881, 388247767, 18469628, 26014536, 64936422, 51243350, 51072326, 81751156, 164231478, 150297122, 66324518, 11163758, 125069752, 115403208, 163526627, 123315584, 18959934, 111485257, 71664133, 40160651, 65623738, 63056925, 58359138, 120969466, 18300819, 328453863, 205267168, 56088204, 29962433, 28394699, 107055693, 80381280, 9675704, 49030490, 76039403, 61363746, 152145799, 7835358, 23974405, 119891652, 143590005, 48669013, 31631278, 63572953, 100058244, 101318781, 89480918, 119176544, 57887310, 157134313, 43573138, 107376721, 1307595, 42362674, 79870237, 47688468, 33373381, 100601120, 2904225, 160122026, 43313435, 35164341, 61382297, 43458299, 126464706, 47260902, 181627399, 162901039, 77874438, 14187457, 9219250, 11257760, 77706648, 20434358, 67476139, 106563532, 78707398, 333147, 2098549, 73978564, 82023210 ], [ 82816544, 97085922, 91521943, 7150769, 136245013, 7829423, 7683554, 10728620, 47429823, 16677736, 119367130, 34518685, 71615469, 97544519, 57273016, 42286843, 35635354, 125722950, 166849125, 25950994, 29984501, 58071436, 54507159, 34088334, 71670348, 17378758, 58205030, 46274253, 50960855, 18419991, 10147561, 30479417, 113878316, 19490018, 9919743, 31685849, 71870895, 52916695, 23580742, 64448995, 64857378, 5447914, 98787651, 124972417, 29750484, 11684360, 46963576, 145062040, 27658597, 56346379, 24494642, 7980156, 31024540, 51072326, 74241463, 40669520, 103045746, 74767847, 14648640, 33823205, 79658363, 42231660, 33395442, 4081438, 77097147, 23458859, 38873091, 20876282, 78717629, 11128502, 127216809, 18300819, 2585693, 12467909, 21396179, 116247650, 142157452, 22464142, 80840877, 108979105, 12183523, 6306853, 24766906, 39497832, 4293020, 23136344, 4519966, 13832127, 85715657, 45315856, 28854300, 7492623, 77572742, 19222845, 107146911, 5232805, 29930575, 20716534, 41613335, 81208466, 99357158, 4092571, 64410245, 193044310, 126609746, 150049881, 46887196, 43313435, 9576787, 170075653, 67050625, 18245555, 35890400, 24390536, 67308819, 13472461, 10218410, 9219250, 109570828, 20039741, 42277244, 67476139, 6464083, 12797032, 105861395, 166270172, 33776087, 48756787 ], [ 46533037, 97085922, 91521943, 80487212, 76395736, 31418584, 34627796, 74959898, 131934738, 45908434, 19590426, 11885873, 60943443, 59370111, 129052354, 56601033, 8948604, 23791793, 26715815, 56392526, 955235, 46042705, 48133062, 34088334, 84389921, 31664441, 2806988, 13500349, 42166623, 21147669, 10147561, 16925949, 61540119, 200820777, 9919743, 180270267, 48222143, 63631160, 25147565, 5676693, 87950260, 39668587, 56513955, 124972417, 20220556, 6604193, 5568117, 5528881, 137068946, 85786520, 32853764, 31879512, 39673329, 51072326, 98129014, 41932736, 179471924, 20700434, 14648640, 4055817, 54856767, 97305873, 13921940, 19371184, 180005608, 180195102, 22418493, 27500723, 50720428, 11128502, 22704879, 18300819, 43998752, 135823402, 18191618, 40589360, 102379820, 148344473, 44841138, 64889486, 13858242, 48006655, 12972669, 23507974, 86264283, 23136344, 31450107, 64128028, 48669013, 70429283, 79797849, 7492623, 86066600, 19222845, 20286424, 15786856, 110739489, 43573138, 110896837, 32328827, 6496455, 79870237, 6110765, 28666453, 138068653, 39267255, 72221266, 42970898, 35164341, 1468227, 8198026, 42524940, 62702179, 8606757, 59812539, 77874438, 14187457, 84967719, 35958358, 8232945, 98490587, 25521051, 169682401, 78707398, 77253233, 492306184, 28549927, 7508827 ], [ 14107149, 97085922, 91521943, 120922829, 86909672, 42600000, 81223123, 10113302, 11338106, 314453549, 33741451, 7287072, 45326028, 12188205, 49479910, 26238577, 35635354, 7501208, 13840959, 39819910, 29984501, 176407070, 54507159, 6185677, 15072477, 47168326, 68883455, 31043805, 36979083, 9811063, 10147561, 25499364, 37924836, 37535091, 125444037, 8009343, 28206469, 39566957, 23580742, 18016876, 36108440, 2773856, 12116040, 124972417, 126564147, 23438502, 46963576, 11190101, 48118396, 202027554, 26014536, 87331021, 5217428, 51072326, 48775302, 13802806, 43374596, 10537101, 11163758, 85967173, 106918376, 49707186, 33395442, 17485048, 120141098, 115515156, 10076911, 20876282, 50687245, 11128502, 17375016, 18300819, 26179740, 32623142, 156914950, 121958796, 36851458, 91863392, 5206846, 26225179, 212200573, 12515124, 24766906, 45077948, 36103838, 158250553, 9650165, 143590005, 75888125, 73828439, 27309480, 39502669, 52351213, 19222845, 19860340, 5229812, 47946239, 43573138, 15364730, 118259672, 269178695, 22447868, 21802592, 132992065, 29603894, 104883979, 189336253, 183843504, 19607887, 68911876, 9839641, 34193788, 190544869, 67232176, 54283146, 67803048, 165164248, 135279616, 7461198, 65560469, 32182005, 42620689, 24426663, 12797032, 78854301, 120708607, 39011870, 8385885 ], [ 24568957, 22529708, 70723779, 7150769, 3377640, 7829423, 5481880, 10728620, 47429823, 8729936, 119367130, 34518685, 84520594, 75666424, 49382248, 256542786, 18518610, 8364518, 176555435, 111621029, 22960903, 63546489, 54507159, 9848620, 8151623, 47168326, 84303640, 31043805, 4139590, 9811063, 10147561, 16049577, 33744510, 103716003, 30044327, 22598478, 21408795, 62921209, 9985536, 26723723, 36108440, 74514401, 114412716, 45716528, 98578000, 5564078, 10950694, 142902414, 84387194, 85786520, 26014536, 87331021, 6903960, 51072326, 23663798, 13802806, 104899381, 5643070, 29545950, 33823205, 45765368, 173398000, 33395442, 43088685, 77097147, 4770883, 40160651, 113275817, 50326426, 11128502, 98702426, 18300819, 26179740, 33878611, 37582260, 53484091, 48982349, 83060934, 19353368, 19249411, 11177928, 12515124, 12711521, 140116245, 8841244, 23136344, 53504937, 143590005, 245068064, 73828439, 119485024, 81869371, 49729829, 19222845, 25784813, 5229812, 29930575, 43573138, 114793140, 81208466, 358682, 22447868, 12046729, 132324476, 16479757, 36643396, 47583747, 183843504, 273410521, 94194490, 31533926, 36404099, 17980645, 140537914, 12780855, 77874438, 33285880, 85766347, 3417816, 34438843, 32182005, 63339542, 53630151, 151942438, 44237281, 49757387, 54663602, 141594469 ], [ 132188052, 25627318, 33193708, 151312290, 86919798, 7829423, 41281121, 2963064, 11568794, 178750797, 32160949, 28429720, 13688128, 86837586, 84375885, 4605955, 259690407, 108190808, 29159332, 57593823, 29848094, 171549254, 54507159, 124646047, 71670348, 82412900, 145552101, 9907849, 4139590, 21147669, 216228118, 188919044, 246166690, 183987658, 25861083, 103865020, 277657016, 57957112, 85321293, 144576472, 188043164, 10259202, 84011763, 53333722, 114862012, 55750092, 85159765, 187406508, 84387194, 189239075, 26014536, 7980156, 6903960, 129522779, 2219404, 526434253, 17500540, 107876526, 14648640, 37539156, 43117440, 96510512, 43873508, 48164330, 204346967, 152204219, 6272103, 20876282, 136315510, 11128502, 77589226, 38727491, 110406079, 60270550, 98752482, 38454805, 129678338, 22464142, 95255415, 19249411, 29059427, 6306853, 156792038, 330773766, 94396060, 23974405, 43319394, 71012109, 142786641, 45315856, 1357031, 149185392, 53375586, 19222845, 264493512, 5229812, 49803073, 20716534, 146373226, 285271196, 126783323, 79870237, 56859134, 154119087, 121112652, 47694305, 14934828, 55492560, 20953012, 63829230, 26595740, 78714924, 1957091, 85561760, 12780855, 56154074, 14187457, 67066434, 39902837, 7574241, 43942944, 67476139, 15840429, 78707398, 271070246, 144915952, 54663602, 88274202 ], [ 14107149, 54721255, 9024081, 35226275, 95705729, 7829423, 119080967, 10728620, 16476436, 22783534, 150685462, 5722016, 42378099, 62120632, 74546001, 97040366, 35635354, 901280, 36161704, 29477864, 36851580, 46042705, 54507159, 34088334, 11779892, 31008564, 32064788, 31043805, 36979083, 9811063, 10147561, 73925885, 103851167, 86439671, 9919743, 14151984, 43189759, 88427717, 23580742, 54081881, 87950260, 39668587, 45455711, 93323456, 39598691, 10151165, 22487531, 28538266, 17220122, 18469628, 61386972, 36602426, 6903960, 49755262, 27399392, 10654555, 6133535, 6044690, 14648640, 9555816, 43117440, 49707186, 23852044, 8870542, 28367226, 2728749, 40160651, 20876282, 7743794, 11128502, 89756829, 18300819, 4391542, 20330484, 105449809, 116247650, 3077566, 153382927, 80381280, 26225179, 10349713, 19882501, 24766906, 27074487, 70291863, 23136344, 9650165, 143590005, 11551154, 73828439, 32939322, 7492623, 11521798, 19222845, 20286424, 5229812, 29930575, 14426585, 20268445, 9350717, 42362674, 11453787, 13556785, 44376044, 6430611, 5937249, 245139804, 14415215, 27649900, 29184568, 24500143, 35473449, 13971044, 3624797, 12780855, 13721683, 14187457, 9219250, 13259227, 74270278, 7805551, 23809823, 23663387, 35335042, 36136802, 46810940, 32035501, 3422830 ], [ 12732776, 38167608, 9024081, 54524366, 33277103, 106473786, 29738778, 41655514, 5863279, 201402693, 60840185, 11452889, 74597971, 120576052, 57273016, 120535434, 35635354, 27046404, 20245054, 131129715, 29984501, 32527896, 48133062, 34088334, 21710163, 43176167, 53767925, 2566108, 4139590, 21147669, 10147561, 48525486, 128430998, 90961544, 62796353, 52512232, 84792618, 90589342, 131480656, 48807174, 85422202, 124550739, 32890320, 744442, 7150152, 10151165, 46963576, 28538266, 84387194, 45529521, 26014536, 61239600, 8988401, 49729699, 17366602, 10654555, 80367055, 22511935, 14648640, 255532529, 286363094, 146962618, 33395442, 14707594, 23182152, 14053345, 40160651, 3934247, 7743794, 11128502, 89756829, 18300819, 104330210, 18656646, 20588532, 121958796, 21526573, 32579347, 19353368, 19249411, 118750294, 69254094, 24766906, 12665720, 48897944, 23136344, 61441404, 13832127, 21518661, 41907698, 49312830, 114032897, 8702321, 19222845, 23592595, 5229812, 18601785, 5567090, 164155310, 9350717, 6496455, 79870237, 22173503, 30685439, 33790723, 136739244, 2331077, 43313435, 35164341, 94194490, 24390835, 1910818, 14426983, 102948098, 149743218, 13721683, 10218410, 9219250, 39630890, 83135938, 7805551, 51501946, 87110961, 78707398, 54909120, 14470948, 4450784, 53692391 ], [ 34451488, 97085922, 91521943, 76633906, 86909672, 348007149, 477989676, 130453420, 245409092, 484297804, 86101458, 87537458, 160386022, 505123326, 404779747, 88603212, 37787080, 29437317, 51287163, 56392526, 274219147, 314436128, 54507159, 344223468, 50904093, 49735095, 19916619, 75995835, 36979083, 9811063, 408392283, 215748472, 54332702, 26081020, 279173791, 137035955, 15752055, 39566957, 134099849, 345809269, 135320626, 101718223, 190086987, 221244887, 336941675, 23599389, 153224306, 100859830, 162905954, 344260156, 242020425, 94130647, 85870163, 410392265, 116405863, 13802806, 48212736, 308416947, 90386076, 279690392, 416883383, 163526627, 117605995, 280097166, 189214701, 112392273, 131606927, 69175527, 25593769, 27893168, 22704879, 104722467, 26179740, 28358421, 144697420, 121958796, 92099294, 12880547, 5965014, 146679840, 276712161, 12515124, 12952238, 65026614, 173920476, 283672979, 192082432, 143590005, 25177500, 164174615, 318688544, 190521548, 11638314, 108569573, 39110559, 17782452, 396184429, 43573138, 93765590, 310801574, 447479731, 15181059, 68440006, 132992065, 638964165, 111375446, 127582741, 88858203, 35164341, 194648859, 139649599, 202764009, 110012260, 581916286, 224862907, 77874438, 232144162, 117962999, 24346444, 184539001, 114006607, 67476139, 89728811, 2423227, 208043842, 224557345, 32641909, 202311234 ], [ 60313618, 14156052, 12192336, 199643957, 2820530, 7829423, 19673885, 10728620, 31816588, 57903620, 25213020, 45332816, 8799657, 183946987, 22090208, 21736456, 21648735, 21419152, 6239508, 29461190, 1549220, 116153520, 54507159, 34088334, 21710163, 46559750, 9823384, 27441290, 4139590, 9811063, 10147561, 10552554, 28190702, 125462607, 126871329, 15893949, 106802353, 58838146, 23580742, 26723723, 11142073, 26317362, 44249554, 73242172, 52111773, 10914927, 8899107, 28538266, 122927825, 113917670, 26014536, 30726932, 8988401, 26437765, 17366602, 13802806, 75648262, 6044690, 14648640, 166648422, 22719135, 163526627, 33395442, 48164330, 23802493, 27585544, 107754139, 45630059, 25329720, 8346601, 18298946, 18300819, 26179740, 60270550, 99607073, 15465836, 110310418, 6429636, 24397799, 19249411, 11177928, 10158467, 24766906, 14250187, 75852891, 23136344, 143989921, 13832127, 21518661, 73828439, 33068766, 74765455, 12245469, 21530415, 20286424, 5229812, 37119810, 17269515, 90706319, 88651367, 100847527, 4660846, 42410573, 114835017, 29603894, 2904225, 77257505, 43313435, 35164341, 94194490, 24500143, 86152951, 35811173, 40931007, 36793706, 9524705, 10218410, 9219250, 24346444, 60769819, 42277244, 99757229, 42386113, 62343458, 54582321, 79148097, 8438163, 81159617 ], [ 6925873, 13262061, 20551867, 157120283, 136245013, 7829423, 81223123, 185642939, 9830850, 43240855, 33741451, 5722016, 34019496, 13225133, 74546001, 3182977, 10545885, 58008113, 36161704, 29477864, 29984501, 46042705, 54507159, 34088334, 15072477, 43176167, 70439458, 75995835, 19995754, 21147669, 10147561, 10552554, 1745845, 40032663, 9919743, 22598478, 96139708, 213490946, 9985536, 64448995, 16689131, 17280545, 98787651, 101918555, 136150520, 174433398, 46963576, 124994686, 130380885, 56346379, 26014536, 87331021, 15119195, 51072326, 19360243, 23871470, 62931609, 127272820, 14648640, 31897130, 157537589, 3367081, 33395442, 23556993, 17242752, 4770883, 40160651, 96392228, 63046026, 11128502, 22704879, 18300819, 43998752, 20330484, 56193605, 76258876, 11894363, 43168004, 68080993, 26225179, 80116042, 12515124, 24766906, 45077948, 78157342, 17492253, 9650165, 143590005, 35901352, 21686832, 119485024, 7492623, 9277716, 7297955, 25784813, 5229812, 31812472, 979604, 107376721, 32328827, 37460249, 23230623, 46124803, 46225723, 24043563, 27528998, 100143768, 58570577, 13086775, 48503409, 8198026, 136586254, 17980645, 13069568, 75564501, 17009030, 14187457, 36215336, 39902837, 51565532, 2205998, 67476139, 78387384, 39389127, 14484596, 10390651, 39011870, 41236674 ], [ 35635944, 36494378, 12062635, 149213274, 84104608, 14536966, 81223123, 165237099, 9830850, 43240855, 19436251, 74243328, 20820311, 25332618, 55628023, 7961233, 16975223, 68281884, 20245054, 128972561, 29984501, 22125708, 54507159, 34088334, 15072477, 12564057, 224545812, 343052, 38664319, 21147669, 10147561, 184953120, 1745845, 2672857, 9919743, 107832548, 140274632, 113778894, 65946066, 120221077, 87950260, 124550739, 89956363, 24447404, 31431042, 181581527, 46963576, 5528881, 228828959, 45529521, 26014536, 87331021, 107252943, 51072326, 74241463, 23754173, 77833377, 500064, 32937631, 16641398, 35055757, 157470458, 33395442, 13595875, 85769507, 99067887, 40160651, 20876282, 7743794, 11128502, 65080746, 17309229, 104330210, 52238823, 6876818, 144098951, 31159805, 25369199, 94771579, 26225179, 111886636, 93521448, 24766906, 140116245, 228060825, 23136344, 14478024, 63306276, 20337306, 69120244, 191962791, 7492623, 71631268, 19222845, 22589721, 5229812, 225282273, 14426585, 8006431, 203531031, 66315233, 218835269, 37542637, 33373381, 165357810, 49975497, 116792331, 56759152, 42163338, 94194490, 22496294, 66109922, 16653925, 194919342, 22984477, 34240579, 123359600, 36215336, 39902837, 94962878, 1819671, 106733034, 85358323, 60824456, 100424725, 121744304, 9925311, 8385885 ], [ 36165227, 73957937, 91521943, 116750431, 12984759, 7829423, 54328113, 41737117, 11338106, 111941412, 6003605, 14742664, 34125339, 13920403, 145776387, 92801453, 72839259, 39329147, 435357267, 128891215, 33744066, 58982039, 54507159, 29415408, 84389921, 9108768, 96003604, 8874972, 36979083, 9811063, 10147561, 41821536, 49377007, 9709645, 9919743, 123859301, 85660278, 80177444, 217041723, 194479144, 87950260, 30831376, 98787651, 124972417, 25020292, 34717534, 16984205, 36292908, 94567764, 25064732, 63388332, 120801518, 106658570, 51072326, 25163821, 13802806, 46567795, 6044690, 35880287, 188594724, 2470016, 277524125, 176428756, 56268860, 745699, 111383665, 40160651, 26828798, 8109369, 11128502, 19567076, 18300819, 26179740, 11467229, 18016334, 17898410, 123004367, 362184271, 44841138, 158253410, 48218976, 51068483, 65609749, 57075881, 319326361, 211392202, 145544882, 34969278, 17179134, 51003960, 95865026, 7492623, 100685828, 77078727, 53975663, 29529498, 20276681, 43573138, 110766261, 57795022, 22389277, 22447868, 64410245, 15381447, 9530250, 134968746, 96336481, 155378745, 118933817, 7559602, 11402965, 67722683, 7761121, 122260144, 67097899, 77874438, 6292514, 42028384, 24346444, 18157408, 239147563, 63207095, 111258544, 101646922, 97987349, 41984020, 86532592, 8385885 ], [ 3462320, 37952059, 1507454, 27679794, 136245013, 48019938, 81223123, 92093921, 11338106, 43240855, 11836062, 54336379, 86848865, 30073193, 8667902, 39070086, 35635354, 44778422, 12913358, 7746017, 29984501, 54178910, 44628, 34088334, 44011941, 31664441, 18637545, 31043805, 4139590, 21147669, 10147561, 30479417, 17370121, 17934166, 113290716, 106210852, 84524209, 12448949, 12969820, 82710649, 20265390, 149196458, 57157509, 119511733, 91330508, 10151165, 46963576, 5528881, 61156126, 52133795, 26014536, 87331021, 36468571, 49755262, 17366602, 10654555, 152494061, 6044690, 14648640, 82513676, 318650446, 15932307, 33395442, 48164330, 12370481, 125194694, 40160651, 20876282, 72240430, 11128502, 7997059, 18300819, 123175849, 60270550, 55101405, 121958796, 142157452, 22714767, 88687903, 14473317, 3868873, 10158467, 24766906, 26791723, 44399837, 23136344, 6453458, 45723755, 36523646, 73828439, 9736725, 65302136, 2224546, 19222845, 75608266, 5229812, 9904138, 43573138, 8006431, 30702354, 51729042, 25462430, 22173503, 18143679, 165357810, 39267255, 25394446, 133341391, 35164341, 34263153, 26874402, 157590532, 93898343, 194919342, 15882741, 77874438, 14187457, 88947068, 39902837, 8232945, 7805551, 67476139, 85358323, 39724630, 2890608, 4623602, 54663602, 8385885 ], [ 32930612, 36539407, 9024081, 4208636, 1773737, 2490300, 59338910, 49257825, 38287591, 77586627, 11836062, 6234330, 4691642, 48199810, 34559782, 52926680, 18518610, 44778422, 5312691, 28941804, 29984501, 1032360, 48133062, 73423, 7756224, 78343882, 16674892, 39720231, 4139590, 9811063, 32318278, 30479417, 33588870, 40032663, 9919743, 18914570, 16464885, 63631160, 47056996, 12252368, 85422202, 10259202, 77608895, 52687771, 57221722, 11684360, 8899107, 145062040, 23078767, 18469628, 26014536, 5024267, 6903960, 30067172, 14425394, 13802806, 22877542, 8221730, 14648640, 35222336, 18475382, 24647788, 774319, 23556993, 2663878, 23458859, 19975508, 3498867, 50326426, 2465021, 47738403, 43377959, 26179740, 51343862, 180962970, 54185430, 7702287, 36564773, 256614, 19249411, 45404420, 25893068, 8081902, 26791723, 6163357, 23136344, 7112617, 4252044, 35901352, 5329061, 89650984, 7492623, 8702321, 12038378, 15972784, 5229812, 9904138, 15323433, 5316044, 9350717, 142721906, 14037149, 30257426, 132992065, 1726031, 42055225, 35617393, 32100899, 26894823, 59239463, 79237933, 141848495, 99284323, 33152929, 12780855, 22788190, 10218410, 84967719, 24346444, 7574241, 32182005, 67476139, 17832662, 12931856, 7940278, 29628705, 16026912, 29744722 ], [ 21067187, 38466931, 91521943, 4059944, 5850826, 71900460, 35016495, 10728620, 47429823, 54421142, 11836062, 17470031, 76559964, 48088009, 23331017, 13112516, 8948604, 14061527, 5312691, 6325971, 17141942, 152169668, 48133062, 34088334, 32150923, 31664441, 1324353, 39720231, 36979083, 9811063, 70490636, 18457361, 3092281, 99683321, 22427269, 9019412, 140274632, 14280868, 23580742, 14136878, 29972900, 17280545, 18593728, 124972417, 91330508, 3357348, 46963576, 59711413, 109065826, 175473923, 26014536, 87331021, 85095532, 11660676, 74241463, 10654555, 75770217, 20700434, 14648640, 31897130, 20167689, 134825481, 33395442, 48164330, 99848866, 26781706, 123832397, 288986, 1140251, 9997924, 4212940, 49731275, 26179740, 121834372, 33384915, 89723313, 31946096, 148222556, 71355719, 49056832, 182551568, 19213264, 24766906, 12813061, 12184028, 23136344, 31450107, 3965376, 121733072, 73828439, 92411714, 173327829, 65891039, 19222845, 15727200, 5229812, 22356340, 43573138, 8006431, 107067761, 22953946, 14524252, 31445532, 27347625, 89217639, 4327419, 109660734, 21571738, 35164341, 34263153, 111978330, 184333600, 82441318, 9103766, 39972636, 77874438, 14187457, 71072954, 24346444, 8232945, 180903176, 51284171, 210405725, 61205752, 49967043, 11192587, 37372630, 12517399 ], [ 63235793, 97085922, 49482088, 36703392, 136245013, 7829423, 81223123, 99774050, 74851581, 160907116, 16214473, 28429720, 24388200, 95967848, 95863644, 71167525, 35635354, 39089548, 29159332, 138673085, 29984501, 176407070, 52333003, 1526538, 22708003, 285087, 16674892, 325756812, 4139590, 21147669, 32318278, 161787427, 33588870, 392336050, 37509019, 18914570, 246091138, 12448949, 176793234, 109689335, 70644866, 10259202, 128179279, 124972417, 85409986, 116921833, 170818584, 21422974, 57628668, 223094416, 26014536, 87331021, 19456357, 51072326, 2219404, 30363827, 63710292, 195371164, 14648640, 15659086, 404358477, 24647788, 28315432, 17485048, 2412463, 42677988, 40160651, 53716457, 18270592, 11128502, 214460585, 11503741, 156246820, 60270550, 147146646, 116247650, 129678338, 4232416, 36187991, 19249411, 11892364, 26621193, 94280770, 183263655, 94396060, 23974405, 278324060, 143590005, 67915181, 45315856, 1357031, 71502340, 112610509, 19222845, 77420654, 65146730, 1903626, 43184542, 272014843, 65045025, 146751926, 74002561, 64410245, 44385067, 114672808, 155776138, 14861593, 43313435, 35164341, 33265936, 26595740, 71982244, 110012260, 132767123, 54283146, 1778507, 14187457, 9219250, 30831925, 7574241, 126762700, 18566907, 142662399, 39724630, 76355897, 44785241, 54663602, 38115469 ], [ 133767379, 50532787, 91521943, 51870323, 25910147, 21081361, 163186445, 87779152, 414079555, 71013518, 293018423, 74243328, 71615469, 505123326, 83665821, 114712881, 123300023, 1320109, 51287163, 56392526, 48757041, 142843678, 54507159, 344223468, 79409986, 43126902, 79893357, 8874972, 722153, 21147669, 216228118, 247786119, 39949637, 272245920, 9919743, 129662872, 204818229, 256396856, 152933017, 109689335, 161630182, 653300125, 49905013, 124972417, 134056623, 181581527, 273414384, 198877310, 102949115, 223778508, 236551641, 460978194, 161036725, 128150839, 47110452, 414750402, 179471924, 71019915, 165347182, 279690392, 610125554, 163526627, 166247101, 74046888, 41457062, 114734156, 66037731, 8461208, 163030879, 11128502, 22704879, 6038789, 21019847, 60270550, 144697420, 121958796, 476060274, 107055693, 76316761, 19249411, 170912298, 118451106, 205135835, 99854249, 526979162, 169104979, 43086049, 143590005, 252921579, 164468550, 446275943, 7492623, 80337515, 19222845, 260037540, 113269742, 47946239, 43573138, 110766261, 310801574, 207472463, 79870237, 542357, 207540529, 18629613, 36643396, 146616987, 43313435, 290408569, 208282623, 168782422, 35646354, 108892514, 259420844, 54283146, 77874438, 582283012, 9219250, 162226585, 83135938, 10094996, 67476139, 85358323, 282066280, 208043842, 296462210, 35045110, 134374243 ], [ 82816544, 13262061, 38302858, 51870323, 136245013, 15411686, 3709978, 10728620, 47429823, 16677736, 90516248, 74243328, 84520594, 51845718, 2130868, 125973940, 18518610, 172427112, 83868281, 81003443, 19661620, 183131299, 22239657, 3483270, 8151623, 47168326, 79893357, 104805063, 23013064, 21147669, 10147561, 17844472, 130629805, 19490018, 57270658, 18914570, 53560128, 39448732, 23580742, 11225787, 87950260, 74514401, 114412716, 30558834, 39853586, 24508669, 46963576, 33690048, 93839720, 85786520, 134360601, 56708931, 12789386, 51072326, 74241463, 37183143, 3714412, 57345974, 14648640, 34069127, 127204930, 35379752, 33395442, 15008321, 104789369, 5285215, 9199391, 116873020, 16242110, 11128502, 58691418, 3827442, 2585693, 11856924, 137897006, 86480374, 21526573, 25369199, 46474952, 105789928, 76332171, 139762571, 24766906, 95889991, 25095896, 21484554, 192082432, 64128028, 21984310, 73828439, 12983430, 7695343, 77572742, 19222845, 20286424, 5232805, 63753642, 20792127, 54356096, 81208466, 129171126, 79870237, 64410245, 18175114, 34907452, 1543963, 85449438, 39174653, 26093144, 1468227, 31533926, 10681774, 34900327, 75222315, 71076394, 13402030, 14187457, 99116131, 8399040, 7755034, 91769704, 55077992, 6464083, 35781802, 44236451, 69491352, 4450784, 158189237 ], [ 21192448, 73957937, 89458261, 137531353, 65319003, 6356191, 32044484, 117287956, 36788148, 77789480, 2419756, 74243328, 20820311, 307610120, 77912734, 97040366, 71932329, 148363555, 79828572, 81003443, 29984501, 193898925, 54507159, 34088334, 31517016, 43176167, 93730515, 44688490, 36979083, 9811063, 10147561, 48525486, 130629805, 19490018, 9919743, 107832548, 363853877, 113778894, 110155120, 66589522, 31826255, 40636360, 98787651, 52687771, 20220556, 119437619, 22487531, 145062040, 444676355, 85786520, 26014536, 87331021, 45053756, 51072326, 98129014, 13802806, 6411815, 166685167, 14648640, 142015545, 303236625, 85502889, 33395442, 45340014, 85769507, 77938586, 40160651, 12512447, 94420609, 11128502, 58691418, 18300819, 26179740, 12467909, 33384915, 116247650, 31159805, 133873470, 95255415, 136880115, 32493171, 65878201, 49073427, 40416523, 179762713, 23136344, 38367463, 34969278, 36595963, 56724625, 28854300, 7492623, 82716240, 108569573, 15727200, 5229812, 33930366, 43573138, 231865044, 417780787, 129171126, 22447868, 64410245, 132992065, 255731298, 60084402, 30097089, 21571738, 12853007, 1468227, 31533926, 152283894, 1250663, 40931007, 49127354, 12788432, 14187457, 9219250, 24346444, 94962878, 56058025, 55077992, 6464083, 60824456, 216816606, 166270172, 23745543, 87851023 ], [ 81365832, 22529708, 10768868, 14331210, 33277103, 7829423, 50325822, 2963064, 31816588, 150264207, 83669540, 35278985, 71615469, 29888653, 57273016, 21034128, 7619152, 21769575, 36161704, 15534804, 29848094, 47181517, 8824962, 34088334, 8151623, 16071831, 58205030, 69117646, 85673659, 21147669, 34202976, 44572965, 37924836, 28186775, 9919743, 54492506, 48372999, 4258323, 9985536, 29478518, 36205311, 7658704, 98787651, 124972417, 91602753, 55750092, 46963576, 145062040, 15074297, 85786520, 22717297, 78724807, 12789386, 23472113, 17366602, 29246001, 26847428, 8221730, 11163758, 40026291, 48272422, 136345621, 104240895, 74046888, 119783, 4770883, 6272103, 25794162, 50326426, 11128502, 46473937, 75358170, 16950518, 156249699, 18474295, 76258876, 2159615, 62854258, 145075117, 26225179, 45404420, 48006655, 24766906, 40302090, 94149337, 23136344, 71541590, 7014981, 37520657, 73828439, 156400661, 7492623, 8702321, 19222845, 419966, 21697954, 63753642, 15323433, 117864039, 28179107, 71126994, 64041345, 64410245, 2842731, 40464, 15201335, 47583747, 46447386, 45380486, 25731143, 8198026, 41770719, 17980645, 70427007, 269228986, 6610407, 64456563, 90055652, 25520805, 7707426, 51613150, 99048756, 29551890, 81277898, 120190482, 22575507, 71407553, 123716021 ], [ 82816544, 132146582, 91521943, 3255076, 26479836, 14857514, 51700404, 2963064, 47429823, 16677736, 33741451, 35278985, 13721474, 13920403, 27391623, 185573172, 10545885, 121456383, 67636306, 15163429, 29848094, 47181517, 54507159, 91592187, 15072477, 33498086, 17413574, 71426055, 85673659, 12673692, 216228118, 80293934, 25166883, 30705108, 9919743, 22598478, 32894916, 34036211, 14240646, 64448995, 74678794, 32727215, 98787651, 30272902, 92843200, 55750092, 38907518, 103536671, 15074297, 146691061, 26014536, 78724807, 184495468, 67955405, 5938717, 23871470, 141092434, 500064, 183463073, 127592425, 73619654, 134600227, 13545691, 193267872, 119783, 37695852, 9199391, 74511679, 149004372, 11128502, 9080953, 32211, 106702807, 14664792, 86380955, 95595009, 2159615, 149762065, 169109617, 26225179, 76332171, 71414976, 24766906, 45077948, 127956508, 66025748, 14478024, 20869382, 60474963, 1586059, 103900077, 7492623, 77572742, 19222845, 419966, 141875621, 63753642, 43573138, 119786801, 8800202, 306312401, 19531996, 3003074, 13618800, 23382202, 22366477, 30792931, 46447386, 106621987, 81377413, 39023911, 69359533, 34834530, 70427007, 8209036, 3632897, 4778538, 111950818, 25520805, 51565532, 1819671, 91501237, 37426293, 35781802, 30813242, 45228415, 39011870, 24203139 ], [ 78766855, 73957937, 53380503, 24590954, 22315045, 270127773, 28787004, 30391140, 31816588, 82338686, 37497957, 1616244, 26224860, 39988225, 67398336, 3655378, 320911735, 44778422, 51287163, 7212442, 69861726, 95629742, 54507159, 50258190, 69198461, 69170447, 70770936, 9428522, 85673659, 21147669, 17851763, 30580668, 25166883, 19490018, 9919743, 245655, 200905407, 49917506, 78059377, 61987849, 36205311, 88373968, 65314466, 124972417, 239972320, 134952567, 302987317, 161035755, 15074297, 85786520, 27794976, 170180649, 51243350, 257692288, 53191160, 86751626, 20442392, 96427404, 11163758, 35886698, 47294270, 163526627, 31105774, 58971538, 189214701, 5954598, 9199391, 5224622, 57035622, 11128502, 18298946, 94644189, 104330210, 12467909, 82436325, 185914941, 219729890, 71500726, 48498233, 111760333, 156138411, 62761884, 40525522, 14250187, 150650394, 77275988, 43857363, 34969278, 60474963, 1586059, 28854300, 7492623, 48195673, 19222845, 419966, 61919263, 9904138, 35536884, 274141523, 11632480, 306312401, 107474535, 12279330, 43947509, 23382202, 255667277, 77257505, 93866529, 271263108, 147695036, 31533926, 105986230, 18175974, 259420844, 8209036, 3632897, 8032366, 8252009, 1588375, 73708428, 21759941, 99048756, 6464083, 70619869, 30813242, 99739753, 13252763, 123716021 ], [ 24175356, 34383241, 44059036, 33921098, 11380138, 212051134, 25919240, 527077, 47429823, 85692249, 42522121, 25903025, 56211229, 6355329, 57273016, 21736456, 18518610, 40106188, 5312691, 42877873, 27690763, 270970584, 54507159, 5971639, 8151623, 47168326, 9823384, 46274253, 85673659, 21147669, 32318278, 9752379, 62576970, 19802478, 9919743, 15893949, 63462593, 61963210, 9985536, 19421974, 22925491, 10259202, 51348534, 124972417, 39853586, 26467566, 11657435, 102358300, 15074297, 85786520, 26014536, 53143035, 12789386, 67955405, 62917277, 81757132, 20533806, 6691387, 243767169, 40742996, 17639151, 48882814, 33395442, 12293544, 8048078, 4770883, 78175879, 20876282, 50326426, 11128502, 104968487, 3453250, 2585693, 30813733, 7806753, 181811687, 39345490, 310881741, 50575655, 26225179, 78255223, 5985245, 24766906, 152145799, 12184028, 35296671, 134580896, 143590005, 6061460, 55513661, 89318874, 7492623, 77572742, 19222845, 419966, 5229812, 5674697, 14280183, 194911916, 81208466, 171105297, 27575029, 52578379, 129950112, 76268170, 42055225, 35617393, 85693366, 141376442, 94194490, 31533926, 18245555, 17980645, 42806700, 23536374, 64022223, 41013760, 135739122, 19888394, 7574241, 87973016, 9601057, 39410411, 156741966, 62547840, 83112910, 78457530, 81159617 ], [ 8645269, 49061805, 57791115, 33921098, 40924872, 38081745, 87989095, 19315501, 11338106, 124515762, 16968844, 39980649, 8799657, 41815993, 88260215, 24380805, 18518610, 87918406, 6662784, 28941804, 274219147, 46042705, 54507159, 75120117, 8151623, 46559750, 16674892, 1304284, 85673659, 21147669, 32318278, 60010550, 28190702, 91141172, 9919743, 22598478, 127529264, 48797951, 53071333, 42952565, 41707213, 39668587, 22970055, 124972417, 57221722, 10151165, 4859983, 96660690, 9596091, 78224680, 15383545, 87331021, 12789386, 19022271, 74241463, 2284701, 55492492, 7865970, 11163758, 104400078, 10098227, 163526627, 80522060, 32744536, 119783, 23458859, 15397884, 142246769, 50326426, 11128502, 18298946, 90706201, 129111987, 83174504, 105449809, 26568743, 2159615, 63155195, 137438128, 25246702, 147258283, 46523739, 24766906, 14250187, 10528215, 183158675, 73515714, 25678638, 36523646, 73828439, 41389283, 7492623, 23401976, 19222845, 62289908, 5229812, 21306912, 43573138, 27524355, 32328827, 49450810, 72616243, 22173503, 114835017, 10664629, 2904225, 19570961, 3958747, 262812454, 52840095, 53204631, 3353622, 2747877, 194919342, 160303244, 77874438, 221657, 15808575, 39902837, 10223977, 7805551, 58363570, 65209271, 72789066, 108646659, 144915952, 144813731, 8385885 ], [ 35045781, 56680051, 91521943, 33921098, 136245013, 7829423, 81223123, 10728620, 11338106, 159818149, 42522121, 44615713, 71615469, 39988225, 138006616, 105481036, 144416131, 3489971, 5312691, 19111562, 9485075, 83597173, 54507159, 125399238, 15072477, 40058686, 35728750, 9297054, 85673659, 12673692, 70181847, 9423297, 25166883, 103716003, 9845433, 54492506, 140274632, 179608297, 9985536, 61987849, 36205311, 3569603, 98787651, 26315221, 124986952, 5564078, 46963576, 2257890, 25714548, 147982748, 26014536, 44367304, 51243350, 211551143, 74241463, 86751626, 107832807, 83150944, 11163758, 129046407, 227616751, 163526627, 33395442, 74046888, 8048078, 4770883, 9199391, 167615967, 79471072, 11128502, 18298946, 41498887, 199285019, 105684183, 50180999, 9022882, 6137009, 25369199, 145075117, 26225179, 76332171, 19213264, 5999447, 14250187, 265434, 183158675, 192082432, 77803659, 266205993, 73828439, 41167231, 5193768, 19538918, 19222845, 419966, 148047338, 21306912, 43573138, 12565447, 82379273, 19252734, 14078843, 18592239, 151764628, 11269974, 9475766, 1311736, 22296772, 106621987, 141235402, 39023911, 106636525, 17980645, 218545881, 8209036, 26406378, 8032366, 9219250, 162226585, 12625905, 20933357, 67476139, 37426293, 81277898, 261126155, 45228415, 39011870, 8385885 ], [ 151221689, 13262061, 18919688, 239098588, 39972185, 66122324, 34384474, 73257812, 47429823, 371201312, 16062016, 1616244, 1954083, 63070458, 57273016, 41574475, 70829247, 30524710, 93732676, 19111562, 29984501, 34238619, 54507159, 34088334, 15072477, 47168326, 1271261, 9297054, 33309695, 9811063, 86034316, 210621858, 37924836, 30705108, 9919743, 22598478, 20425408, 904925, 17080176, 194479144, 37678536, 39668587, 22970055, 119511733, 7150152, 126359690, 46963576, 7309500, 42823446, 85786520, 15383545, 77166353, 51243350, 21139736, 74241463, 12085585, 179471924, 500064, 11163758, 137600443, 35055757, 764685, 6864181, 126957577, 53585594, 95429001, 9199391, 4267729, 77793409, 11128502, 81048222, 96367580, 16511598, 47952894, 18865190, 9022882, 687837, 25369199, 44841138, 26225179, 323664018, 8458128, 5999447, 33996742, 74899291, 23136344, 14478024, 47771773, 20337306, 17504583, 92229190, 7492623, 104359438, 19222845, 419966, 5232805, 63753642, 9458164, 51562874, 32328827, 194425870, 22447868, 12279330, 112236543, 165357810, 150049881, 40607043, 199328976, 60066507, 25731143, 8198026, 53567393, 82641380, 70427007, 22984477, 26406378, 8386235, 160169337, 24346444, 51565532, 1819671, 54314133, 20856392, 10815772, 106428568, 98178853, 51170976, 6315096 ], [ 73278332, 13262061, 38429586, 27899268, 55136814, 7829423, 84196824, 269223761, 11338106, 371201312, 119367130, 28429720, 24388200, 21358360, 44876244, 31492154, 18518610, 3489971, 51287163, 12230160, 9485075, 47181517, 52292132, 5971639, 8151623, 43176167, 17558543, 16485421, 28364289, 21147669, 27151049, 16435608, 37924836, 30705108, 9919743, 46542860, 92734393, 48797951, 157474672, 36700884, 125121146, 35252662, 22970055, 26315221, 39853586, 11684360, 85252263, 136581299, 54723120, 9501210, 28896117, 44776495, 12789386, 15107717, 45390288, 86751626, 55492492, 57345974, 11163758, 33918957, 10098227, 163526627, 11447161, 74046888, 119783, 29935452, 6272103, 12512447, 50326426, 11128502, 2005963, 32026325, 2585693, 83174504, 20937822, 76258876, 2159615, 116678774, 145075117, 26225179, 59904377, 46523739, 73106493, 62624780, 94396060, 44031598, 32312309, 126905725, 20337306, 21258094, 1357031, 7492623, 96967479, 19222845, 419966, 5229812, 49803073, 14280183, 77190568, 82379273, 189954511, 14078843, 48659214, 105763364, 40464, 58838564, 46253227, 21571738, 60066507, 48503409, 8198026, 7215109, 8928103, 70427007, 22984477, 57992865, 20978695, 92925563, 39902837, 38058334, 35926574, 37227739, 29551890, 81277898, 106428568, 144915952, 166783720, 8385885 ], [ 9645321, 75324996, 7034219, 39300899, 55136814, 7829423, 19233415, 11122756, 11338106, 13939513, 11921283, 50368910, 8799657, 88755125, 25976978, 41574475, 59811252, 44778422, 5312691, 85591117, 29984501, 116153520, 37469071, 65539495, 15072477, 3834772, 1271261, 32497193, 14215376, 9811063, 15320344, 26886321, 69879736, 19490018, 9919743, 108888001, 27137660, 34654618, 10899413, 57648149, 69920335, 16703260, 98787651, 10421108, 43681660, 14990237, 40358743, 7309500, 76526466, 47721901, 26014536, 10030682, 31024540, 21139736, 98129014, 13802806, 24442330, 500064, 14686510, 35473751, 6652893, 826623, 1599606, 17215145, 18108713, 16402379, 9903185, 313465, 16242110, 11128502, 3837077, 12631605, 16511598, 6787830, 86435405, 76258876, 687837, 62078491, 19353368, 10251915, 2617442, 10158467, 31969337, 103602583, 203993, 7244825, 14478024, 120784046, 20337306, 5362144, 28854300, 7492623, 2224546, 2279026, 419966, 49439413, 9904138, 43573138, 17408166, 30702354, 45749314, 18047640, 8122203, 58596541, 19451382, 9475766, 16100879, 134272180, 58720541, 48503409, 8198026, 117837458, 34900327, 70427007, 13044790, 40457437, 8386235, 135279616, 24346444, 11520981, 1819671, 46104977, 6464083, 4241466, 9957602, 51706520, 15170477, 8385885 ], [ 44299005, 22529708, 56207574, 14331210, 33277103, 83186706, 81223123, 2963064, 11338106, 204697655, 41492799, 74243328, 25445633, 12265261, 163794158, 45231480, 148249129, 87918406, 14482665, 34925332, 5550845, 34238619, 54507159, 24596848, 15072477, 6968936, 40785051, 16485421, 12880619, 21147669, 9569806, 5384618, 33744510, 19490018, 9919743, 15006975, 21071992, 66658108, 23174927, 35959074, 99846812, 14037474, 2411081, 30558834, 57221722, 55750092, 46963576, 14928801, 9596091, 31194521, 2550892, 23922751, 51243350, 13392175, 23441544, 27417515, 90633806, 8221730, 11163758, 77008706, 53980238, 35379752, 10055390, 57173112, 3769835, 43695580, 9199391, 55342652, 30774527, 11128502, 77589226, 32405518, 140505880, 11856924, 155837740, 41768460, 60974175, 92990750, 45493954, 26225179, 39209662, 19213264, 24766906, 37002904, 92400475, 44031598, 71250027, 15301898, 1278808, 22719650, 28854300, 7492623, 8702321, 2279026, 23155834, 5232805, 5674697, 15323433, 17408166, 68485341, 73572268, 61461740, 44072407, 31086683, 72897046, 24848437, 18322331, 119955184, 35164341, 62886914, 22496294, 152283894, 34900327, 103974328, 44866305, 57992865, 1330228, 135279616, 22816936, 11520981, 22936501, 32994242, 6464083, 19185784, 87157822, 3782346, 59490577, 8385885 ], [ 133767379, 216833891, 213628918, 135265314, 25910147, 348847358, 387794518, 273097436, 55844907, 35548090, 18050273, 74243328, 224762023, 493574645, 49382248, 477406369, 998254, 4449218, 34562533, 66057863, 48757041, 296782547, 54507159, 34088334, 67178479, 57316574, 30126758, 252460297, 67213595, 306351535, 76544573, 385182958, 108507156, 158963057, 126871329, 247482662, 105394800, 1006674, 78059377, 61987849, 457097338, 149196458, 175215195, 45341313, 844492, 134952567, 104014806, 142584450, 15074297, 31987939, 26014536, 87331021, 246096465, 265554712, 62032852, 117750851, 179471924, 64185138, 30868299, 193579761, 110725711, 300137156, 60827060, 17409817, 377418972, 139221672, 399211971, 74511679, 112693110, 11128502, 18298946, 94644189, 195213509, 170355295, 81909642, 719097297, 60974175, 50666596, 202824160, 220942899, 127578190, 176262770, 357153479, 14250187, 43412957, 23136344, 71250027, 143590005, 60474963, 73828439, 35128604, 263299421, 26591430, 19222845, 149063548, 44916132, 67706453, 43573138, 110766261, 82379273, 229021523, 24343945, 27030575, 72609894, 18629613, 16189836, 77257505, 26437147, 35164341, 246849170, 89540156, 201298714, 142415073, 103974328, 44866305, 77874438, 48268857, 107331995, 25520805, 182220662, 10094996, 32994242, 45932445, 78707398, 124927828, 86728952, 357590608, 2347373 ], [ 55580571, 49061805, 91521943, 27543629, 39972185, 19028359, 50325822, 2963064, 47429823, 23306565, 89516076, 50368910, 71615469, 39988225, 25976978, 47094072, 176742156, 3489971, 91049636, 29461190, 29848094, 34238619, 3009234, 14154259, 15072477, 3571107, 8025753, 49806056, 36979083, 9811063, 81138076, 17945446, 33744510, 30705108, 9919743, 54492506, 140274632, 2362921, 23580742, 56048646, 36205311, 74514401, 22970055, 124972417, 31988550, 55750092, 16984205, 20081623, 15074297, 211664654, 25214349, 44776495, 31024540, 52772735, 6406540, 13802806, 55303010, 83150944, 11163758, 58708765, 73619654, 56202485, 166247101, 12938296, 119783, 137077539, 18453377, 74511679, 26192956, 11128502, 585877, 41498887, 16950518, 85312429, 146429509, 38565846, 2159615, 100991314, 80840877, 26225179, 72730439, 19213264, 24766906, 23507974, 7835358, 3173546, 28329519, 7014981, 60474963, 9810023, 119485024, 7492623, 77572742, 19222845, 419966, 5229812, 174724795, 43573138, 188458582, 108652203, 38645547, 22447868, 64410245, 132992065, 80779588, 80191240, 186302857, 194974320, 92495926, 94194490, 17449333, 152283894, 47260902, 31420260, 245230789, 77874438, 1330228, 146496505, 24346444, 35591290, 87706176, 99048756, 46881726, 201197302, 47566200, 97154224, 183648095, 20795764 ], [ 26261390, 6855765, 53380503, 74511019, 136245013, 7829423, 82241178, 10728620, 11338106, 199290890, 56884539, 74243328, 71615469, 7058788, 25976978, 167673235, 7619152, 44778422, 38298313, 62336961, 30855667, 176407070, 5288943, 68108973, 8151623, 47168326, 79781033, 71426055, 28364289, 21147669, 66025724, 210621858, 89915921, 165811569, 9919743, 22598478, 102069837, 178958065, 23580742, 8321062, 22874863, 74514401, 47817339, 119808542, 31988550, 181581527, 46963576, 159106323, 327659103, 36789723, 26014536, 649515, 12789386, 109805241, 74241463, 86751626, 80207733, 1795430, 11163758, 58557296, 95209306, 136552143, 189332510, 18982161, 758187, 129915462, 131606927, 140417958, 50326426, 11128502, 53990024, 211765453, 16511598, 6787830, 82436325, 9200565, 53237517, 71500726, 105557929, 108979105, 114170177, 62761884, 24766906, 152145799, 222733529, 3173546, 18630531, 84034940, 95843728, 73828439, 103900077, 7492623, 33788022, 19222845, 419966, 53196024, 9904138, 43573138, 64520074, 6682683, 61104428, 18668538, 64410245, 331193925, 165357810, 49975497, 52719948, 131216689, 42163338, 56989774, 31533926, 152283894, 108892514, 6531870, 54283146, 51239515, 82300461, 313217924, 37544650, 51565532, 20933357, 67476139, 4960306, 121435096, 74435304, 40905260, 22090576, 4334444 ], [ 402410658, 17380899, 91521943, 25224974, 47334972, 48019938, 115046075, 281574122, 11338106, 465856082, 48789684, 38819351, 71615469, 137126997, 196637821, 102844704, 193818367, 34456211, 33323390, 183665205, 33744066, 46042705, 48133062, 34088334, 81649881, 47168326, 311684793, 2566108, 23647385, 21147669, 182484876, 4276608, 39949637, 272245920, 9919743, 46950021, 32541078, 63631160, 12969820, 194479144, 188043164, 19494935, 98787651, 84396464, 180630378, 181581527, 46963576, 145062040, 81228251, 224854834, 34008382, 152410674, 28551907, 30067172, 74241463, 184373888, 44309529, 194033880, 14648640, 184440445, 43571885, 10174632, 42297499, 18919235, 114479603, 180195102, 43481302, 294649899, 158975681, 11128502, 22792181, 568573319, 389392982, 64458035, 8301896, 647490040, 79603216, 107055693, 95255415, 82985260, 334235957, 644536698, 24766906, 26791723, 315316446, 23136344, 71250027, 143590005, 31459281, 128639937, 25901517, 7492623, 188022629, 362881076, 419966, 165881465, 33887047, 43573138, 97770868, 32328827, 142721906, 64156920, 64410245, 25339270, 63116322, 135967796, 160122026, 46514210, 35164341, 78500556, 163368516, 26827882, 108892514, 15844133, 24842932, 77874438, 14187457, 84967719, 66553491, 94962878, 271186117, 29845757, 119533693, 78707398, 40782327, 451212915, 275393697, 8385885 ], [ 120029213, 6855765, 57791115, 33921098, 39972185, 83387888, 39349942, 2963064, 47429823, 43296192, 56884539, 74243328, 71615469, 4386071, 57273016, 153742900, 42324415, 87918406, 21129001, 60232861, 29848094, 20948310, 54507159, 34088334, 14849280, 47168326, 10373033, 18140653, 36979083, 9811063, 114118513, 26632893, 94570901, 84314686, 9919743, 107832548, 102069837, 68839940, 16569881, 64448995, 36205311, 35252662, 98787651, 26315221, 239972320, 55750092, 46963576, 145062040, 128831779, 60056596, 26014536, 87331021, 161036725, 67955405, 5938717, 13802806, 179471924, 153839312, 60718034, 70346041, 48272422, 163526627, 2648083, 96506336, 119783, 129915462, 110304335, 20876282, 145196415, 11128502, 53990024, 48192275, 26179740, 27205385, 86380955, 95595009, 2159615, 153382927, 145075117, 26225179, 35219218, 85794052, 24766906, 45077948, 64355996, 12526600, 18630531, 28006086, 52984891, 73828439, 85141, 7492623, 8028375, 19222845, 419966, 5229812, 74196242, 43573138, 193785225, 32328827, 33603882, 22447868, 60899828, 67833640, 124984386, 66126466, 52719948, 116476913, 35164341, 41769713, 33330831, 109796449, 1250663, 2965091, 135690981, 77874438, 123359600, 420934531, 24346444, 58670342, 20933357, 59661875, 85358323, 68020520, 231007190, 62520355, 39011870, 4334444 ], [ 4306688, 46533831, 39623995, 80487212, 39972185, 7709873, 81223123, 2963064, 11338106, 57360988, 27598405, 74243328, 9447382, 12265261, 49382248, 13561751, 28669790, 121456383, 51287163, 60232861, 29848094, 3747843, 54507159, 34088334, 101437440, 3680525, 26468430, 16485421, 85673659, 21147669, 48210062, 158543426, 33744510, 30705108, 9919743, 12117446, 6525385, 2362921, 23580742, 26723723, 36108440, 35644099, 30105930, 58397924, 5308609, 10892048, 46963576, 5528881, 40313747, 22151467, 26014536, 48626802, 68234375, 69117852, 74241463, 51875733, 87056051, 500064, 55133180, 46977691, 73619654, 75249614, 33395442, 115074616, 119783, 8767110, 9199391, 20876282, 90734652, 11128502, 77589226, 81797418, 59148058, 59467860, 7370351, 45985737, 2159615, 6235430, 145075117, 53956192, 70737589, 19213264, 16050149, 18073851, 90711321, 23136344, 14478024, 143590005, 36523646, 69120244, 8720006, 7492623, 11984325, 19222845, 419966, 5229812, 63753642, 43573138, 23456677, 81208466, 25234297, 61461740, 37162242, 18143679, 29603894, 6358199, 144230593, 43313435, 11261624, 34263153, 22496294, 75624451, 34900327, 70427007, 76604182, 3769254, 48719828, 9219250, 12884468, 8232945, 1819671, 44842660, 27573745, 30718796, 27210885, 3782346, 39011870, 3364315 ], [ 65594760, 97085922, 39623995, 85872254, 47561929, 88044602, 81223123, 49062442, 47429823, 43296192, 37497957, 74243328, 71615469, 51991602, 33521235, 114712881, 7619152, 21769575, 226691763, 19111562, 29984501, 47181517, 54507159, 50258190, 15072477, 6968936, 103891994, 46274253, 30067257, 12673692, 6659009, 19817873, 130629805, 19490018, 9919743, 46417002, 126614593, 1782708, 83834781, 141322757, 95655064, 35252662, 91697737, 26315221, 5308609, 5564078, 15905892, 459578, 28791263, 85786520, 26014536, 78724807, 51243350, 49755262, 74241463, 10654555, 128533179, 500064, 11163758, 105700362, 35055757, 46481541, 33395442, 151500571, 119783, 17474196, 6272103, 8461208, 12141502, 11128502, 53990024, 163134051, 56819975, 12467909, 6436421, 90522764, 2159615, 22464142, 110799380, 26225179, 130154792, 69254094, 1952855, 45077948, 8841244, 80965691, 14478024, 16150214, 17355189, 69120244, 28854300, 7492623, 8028375, 6493763, 419966, 27356758, 17602266, 20716534, 117864039, 11632480, 62518170, 64629592, 22173503, 13618800, 40464, 150049881, 10328263, 46447386, 34508847, 46738299, 31533926, 35646354, 34900327, 933690, 19785035, 3632897, 1330228, 58715113, 12023145, 94962878, 1819671, 47655062, 6464083, 81277898, 11770568, 45228415, 13252763, 75920074 ], [ 55580571, 13262061, 31489282, 76286127, 136245013, 7829423, 64387108, 2963064, 11338106, 11570707, 16297988, 74243328, 71615469, 63070458, 33521235, 45231480, 45960502, 113128695, 5524917, 6728762, 29848094, 183131299, 54507159, 34088334, 15072477, 43176167, 147682427, 16485421, 85673659, 15112262, 70181847, 23768020, 25166883, 30705108, 9919743, 54492506, 28636059, 5584396, 10899413, 7122117, 73894573, 10793427, 2411081, 27768308, 239972320, 5564078, 46963576, 7309500, 25714548, 47986411, 15383545, 57822883, 51243350, 67955405, 6406540, 122424808, 90633806, 500064, 11163758, 59734464, 35055757, 1317365, 33395442, 74046888, 38220813, 10340495, 7303087, 20876282, 158975681, 11128502, 77589226, 48192275, 16511598, 27205385, 64854785, 76258876, 48982349, 6429636, 147812356, 26225179, 76332171, 48006655, 24766906, 45077948, 203993, 23136344, 14478024, 11862502, 9069193, 69120244, 446275943, 7492623, 35359611, 19222845, 419966, 50377978, 63753642, 19208649, 51562874, 67173398, 38867257, 218835269, 64410245, 95252717, 112166439, 9475766, 27894267, 199328976, 6937987, 48503409, 8198026, 117837458, 82641380, 2965091, 8209036, 57992865, 8032366, 168256964, 162226585, 48971294, 1819671, 61832545, 61771202, 78707398, 95505451, 71168227, 39011870, 8385885 ], [ 4306688, 16340085, 16012656, 129906827, 39972185, 40363830, 9494755, 4102008, 11338106, 11570707, 119367130, 55136879, 84520594, 4386071, 57273016, 71057612, 42324415, 21769575, 6150042, 21540213, 29984501, 34238619, 54507159, 34088334, 14533353, 43176167, 47416727, 16485421, 4139590, 21147669, 182484876, 9423297, 37924836, 21141592, 23168342, 107832548, 94017613, 5584396, 30066958, 77084208, 50758034, 100377335, 49905013, 124972417, 140293622, 64962091, 13451784, 98318306, 113581137, 43741075, 1961021, 87331021, 51243350, 30969210, 38587555, 10654555, 100869922, 6044690, 11163758, 218819939, 189795739, 206097905, 33395442, 74046888, 28367226, 185257282, 131606927, 59442247, 114346818, 11128502, 125957215, 48151106, 16511598, 16693470, 55101405, 516616106, 28060046, 100991314, 73758635, 19249411, 136839348, 77118061, 24766906, 91870138, 210145180, 23136344, 143989921, 96650485, 56413610, 27251218, 119485024, 74765455, 67382636, 6362173, 419966, 5229812, 88012832, 4582881, 8006431, 92576676, 38645547, 28210224, 31331260, 19507890, 22069770, 36643396, 160122026, 129696179, 35164341, 30425084, 808038, 84434744, 50403297, 117395957, 15593047, 6342424, 85842713, 67160488, 5548202, 20672213, 35926574, 67476139, 53536542, 78707398, 106428568, 166270172, 54663602, 8385885 ], [ 14107149, 13262061, 15359576, 53684186, 9926922, 7829423, 50325822, 10728620, 11338106, 133136672, 33741451, 11452889, 74597971, 12265261, 25976978, 158699492, 124340353, 78537317, 44034599, 38983859, 29984501, 32527896, 14272059, 34088334, 15072477, 47168326, 70439458, 9297054, 36979083, 9811063, 26666795, 48525486, 30480996, 19490018, 23168342, 6401481, 110448611, 163872732, 23580742, 10679662, 42147465, 19494935, 42794805, 84396464, 39598691, 65209862, 46963576, 7309500, 161215854, 4933831, 15383545, 87331021, 42095095, 62437201, 74241463, 13802806, 66086632, 111471997, 31498301, 60733978, 64474081, 49707186, 31105774, 285406485, 23802493, 8767110, 84599634, 116873020, 16242110, 11128502, 40120666, 33554762, 16511598, 12467909, 6528865, 9022882, 84600081, 25369199, 35676611, 26225179, 134161280, 11589281, 24766906, 45077948, 94149337, 23136344, 2018410, 7014981, 34164230, 1586059, 28854300, 2933573, 46747033, 2279026, 419966, 5229812, 64182862, 5639571, 3522355, 81208466, 212678413, 22447868, 48659214, 22637448, 23382202, 9475766, 43634775, 60018779, 9501087, 39156272, 8198026, 79397894, 18175974, 5382798, 93679931, 26406378, 8386235, 78035566, 24346444, 7755034, 20933357, 67476139, 6464083, 143928209, 30813242, 79148097, 8438163, 8385885 ], [ 232554947, 21603521, 44621595, 22543064, 125013236, 55838491, 41532827, 281574122, 11338106, 142793895, 97225885, 55136879, 74597971, 63070458, 24269120, 12466442, 98507634, 122407785, 216374318, 111949481, 9485075, 32527896, 54507159, 34088334, 21710163, 47168326, 147682427, 9297054, 4139590, 16517346, 123868679, 70273007, 92420806, 67586287, 8815710, 22598478, 70751615, 90589342, 240537181, 48807174, 77659118, 159758675, 374018, 744442, 141293504, 118505719, 46963576, 129547060, 191395251, 140828493, 26014536, 87331021, 211481240, 67955405, 17366602, 29246001, 2531635, 40993072, 19340866, 79440296, 64474081, 163526627, 33395442, 75150016, 157582262, 8767110, 9199391, 4228837, 33824832, 11128502, 85174276, 3453250, 82590839, 37914748, 28568245, 9022882, 39107390, 86070144, 248563549, 19249411, 129403970, 28353657, 24766906, 129338888, 48104728, 23136344, 71982284, 143590005, 36523646, 73828439, 96930807, 300829785, 29804875, 19222845, 8826323, 5229812, 63753642, 16829863, 46884417, 118259672, 12257796, 6227883, 48659214, 114835017, 11696032, 28337482, 47583747, 3070446, 47049990, 14536610, 83419400, 344513851, 72128101, 18462337, 23536374, 26406378, 42795012, 168425842, 39902837, 22717768, 51613150, 9601057, 87110961, 32373667, 133945209, 18615545, 54663602, 8385885 ], [ 35045781, 22733343, 21716735, 33921098, 136245013, 7829423, 81223123, 93351774, 11338106, 85692249, 119367130, 74243328, 71615469, 13920403, 106825335, 30405877, 75252243, 44778422, 21129001, 62336961, 29984501, 88262117, 54507159, 15535216, 92008897, 43176167, 154014459, 46274253, 85673659, 12673692, 54239669, 9423297, 85182845, 84314686, 9919743, 28014305, 17644444, 149025942, 91471712, 27518721, 78523311, 91631312, 2746479, 30272902, 43195851, 30629178, 16984205, 2257890, 302554031, 85786520, 26014536, 87331021, 51243350, 160133482, 98129014, 44857309, 179471924, 1805072, 11163758, 1753138, 17639151, 42627051, 33395442, 74046888, 8048078, 102860197, 110304335, 20876282, 21364041, 11128502, 101377208, 3453250, 104330210, 6787830, 69569006, 57488580, 16955052, 43735364, 145075117, 27824878, 38633454, 24422726, 23898966, 40302090, 10926551, 23136344, 61441404, 49575110, 87529969, 73828439, 32342410, 7492623, 33788022, 19222845, 419966, 5229812, 9904138, 43573138, 194911916, 24178693, 61104428, 46315069, 50865195, 15381447, 22397790, 134968746, 10328263, 352693, 35164341, 914881, 31533926, 122466599, 31593570, 2965091, 23536374, 17911957, 6292514, 10451778, 39902837, 20672213, 152954922, 9601057, 85358323, 78707398, 19182763, 45228415, 3606992, 8385885 ], [ 70571320, 97085922, 10768868, 3255076, 33277103, 44134229, 19233415, 35763274, 79243782, 46182447, 19436251, 26863402, 71615469, 12188205, 25976978, 46188036, 7619152, 65837897, 34192928, 15163429, 29984501, 20948310, 37469071, 3986707, 15072477, 80133829, 10373033, 18140653, 28364289, 9811063, 109389279, 44572965, 37924836, 53230853, 9919743, 15006975, 200905407, 23384493, 78059377, 36700884, 73894573, 16703260, 31658295, 744442, 43195851, 19310705, 4320918, 18480267, 14335983, 28393858, 26014536, 4856150, 31024540, 21139736, 3927257, 13802806, 55492492, 1805072, 60718034, 6610976, 117524067, 51409981, 33395442, 54904369, 758187, 30384576, 79036542, 313465, 50687245, 11128502, 9080953, 41440769, 5385053, 83174504, 49304217, 97092662, 26633138, 3496511, 44841138, 26225179, 113054635, 46523739, 36793278, 40302090, 94149337, 7244825, 50069373, 63061736, 60474963, 21258094, 119485024, 7492623, 8702321, 2279026, 419966, 5232805, 40996058, 15323433, 17408166, 108652203, 24868546, 20750624, 60899828, 15381447, 11269974, 15201335, 16100879, 67087225, 35164341, 27070144, 27637367, 69359533, 34834530, 90784850, 303024978, 71561743, 82560222, 5300437, 24346444, 58670342, 7440492, 41366575, 37426293, 38327971, 11770568, 26045773, 56149371, 4643354 ], [ 120029213, 6855765, 18919688, 908208, 97468537, 98710994, 51700404, 11122756, 11338106, 245761981, 37497957, 35278985, 22757081, 4386071, 117463264, 114712881, 42324415, 44778422, 198233717, 138673085, 151693697, 41688311, 37469071, 3986707, 90654831, 117016792, 103891994, 46274253, 85673659, 21147669, 216228118, 41544785, 25166883, 284066552, 9919743, 54492506, 21817923, 15739239, 124723459, 120155847, 29796347, 124550739, 98787651, 52181735, 239972320, 10892048, 43126033, 2257890, 25714548, 40731773, 26014536, 44367304, 82695743, 163260044, 98129014, 86751626, 33970202, 83150944, 38478205, 1753138, 48272422, 101340059, 65953289, 40661463, 119783, 260111860, 9199391, 8461208, 103833707, 11128502, 1267708, 276999921, 104330210, 14664792, 95391182, 115006238, 2159615, 22464142, 169109617, 236812622, 147014039, 7202544, 23898966, 40302090, 150650394, 243089815, 18630531, 65859679, 226061907, 73828439, 119450821, 7492623, 19538918, 19222845, 419966, 5229812, 9904138, 20716534, 265076741, 11632480, 45749314, 64041345, 64410245, 67833640, 11269974, 284511234, 403878722, 55492560, 12933874, 94194490, 25327673, 35646354, 34834530, 138999143, 8209036, 31131358, 8032366, 10451778, 28110601, 11520981, 20933357, 134529664, 35652117, 81277898, 11770568, 166270172, 13252763, 8385885 ], [ 115553475, 13262061, 66730999, 64949304, 9926922, 14857514, 81223123, 10728620, 11338106, 11570707, 33741451, 1616244, 8799657, 63070458, 44876244, 24380805, 40855158, 65837897, 349891964, 38983859, 29984501, 19127353, 52292132, 34088334, 15072477, 43176167, 17413574, 69117646, 28364289, 9811063, 136421089, 60010550, 33744510, 19490018, 9919743, 22598478, 140274632, 5584396, 23580742, 36700884, 38375191, 39668587, 98787651, 744442, 1994469, 28808001, 46963576, 7309500, 4656625, 78224680, 26014536, 13283141, 12463154, 67955405, 34095897, 13802806, 36873249, 1805072, 64479565, 129046407, 48272422, 74661468, 11447161, 72379162, 28367226, 98663173, 9199391, 59124870, 82568956, 11128502, 1316220, 32211, 26179740, 12467909, 86380955, 76258876, 39107390, 176216109, 145075117, 26225179, 76332171, 2297877, 24766906, 40302090, 94149337, 23136344, 32312309, 70105530, 52984891, 5362144, 28854300, 7492623, 77572742, 19222845, 419966, 5229812, 63753642, 19208649, 51562874, 32328827, 138193814, 22447868, 3003074, 12905871, 165357810, 50047136, 136640195, 137034153, 9501087, 48503409, 8198026, 122466599, 34900327, 173492328, 130565569, 9524705, 8386235, 134744943, 24346444, 51565532, 146416411, 37227739, 6464083, 12797032, 133945209, 58481279, 161831401, 8385885 ], [ 24568957, 38167608, 91521943, 22543064, 25910147, 7829423, 13110491, 41655514, 11338106, 43240855, 56884539, 74243328, 6781625, 51991602, 33521235, 52799537, 7619152, 21131625, 6662784, 28941804, 29984501, 27762995, 54507159, 5971639, 15072477, 43176167, 44716106, 9297054, 67213595, 18419991, 145809542, 30479417, 33744510, 231814168, 4133651, 52512232, 54524910, 547060, 31535672, 42141410, 11142073, 115658817, 84011763, 45341313, 7150152, 5564078, 46963576, 7309500, 203710445, 45941869, 25214349, 87331021, 51243350, 67955405, 74241463, 23871470, 5098378, 35165228, 11163758, 82513676, 35213388, 163526627, 32921152, 32800198, 758187, 10340495, 9199391, 3934247, 16242110, 11128502, 22730660, 2125718, 16511598, 20330484, 31876686, 9022882, 29782913, 62078491, 137438128, 26225179, 10746066, 5985245, 24766906, 40302090, 8841244, 23136344, 34081857, 25678638, 33113321, 73828439, 74471269, 120288385, 47854487, 19222845, 419966, 5229812, 9904138, 14280183, 51562874, 30702354, 25234297, 47437042, 27030575, 237321542, 10664629, 13305847, 1030147, 352693, 163750805, 27818759, 29863925, 109796449, 34900327, 2965091, 156487742, 26406378, 6292514, 10451778, 39902837, 31463377, 10094996, 67476139, 63795930, 12797032, 106428568, 165024078, 56443788, 3422830 ], [ 161162372, 14156052, 72260526, 277387486, 68797297, 7829423, 157367015, 108726042, 178697061, 184575102, 119367130, 15642840, 16948464, 7265395, 25672922, 47161064, 7619152, 5078803, 171695204, 15163429, 58345481, 159496705, 7097485, 16439853, 15072477, 92785240, 270430234, 2539870, 85673659, 21147669, 45314492, 30580668, 130629805, 19490018, 9919743, 18914570, 24852136, 158934522, 68006720, 26723723, 36108440, 124550739, 98787651, 124972417, 85409986, 37449118, 256755645, 104662809, 9821862, 40251806, 26014536, 87331021, 87034032, 21139736, 98129014, 10654555, 177760154, 6045037, 14648640, 7082240, 294334861, 62537628, 19248583, 7969807, 758187, 5954598, 57638092, 20876282, 90734652, 11128502, 53217957, 12631605, 37950454, 12467909, 18865190, 115885899, 174581885, 4985758, 23137451, 26225179, 259712840, 231759227, 188841, 58739208, 71345950, 23136344, 176935438, 41690395, 223189329, 73828439, 28854300, 7492623, 173423093, 19222845, 31577202, 214866868, 81660785, 43573138, 115403121, 81208466, 5967825, 8410322, 64410245, 128534004, 29603894, 19909213, 98752536, 63785001, 11261624, 180908149, 31533926, 152283894, 93898343, 47491451, 157498963, 3555110, 4560446, 204802551, 162226585, 61682772, 92657536, 19332191, 6464083, 143142041, 306721294, 40905260, 104040177, 61024081 ], [ 11435568, 8586932, 17851475, 76954465, 17166712, 78036541, 163653433, 10728620, 47429823, 28915564, 178272753, 51694365, 68580434, 194648207, 137939431, 192486098, 24308601, 28394843, 98150700, 12434435, 17088587, 46042705, 3659335, 16439853, 4836413, 23604150, 79781033, 10882923, 60542934, 21147669, 19517507, 2868832, 33588870, 84722756, 9919743, 18914570, 3361707, 23499819, 23580742, 194479144, 16227081, 39668587, 41664116, 24447404, 45109329, 44525721, 8279222, 11190101, 42823446, 57687920, 26014536, 46365396, 66086642, 43189744, 74241463, 33773936, 40323419, 226876420, 32937631, 37535908, 68185028, 74787649, 51631495, 207846697, 2663878, 23458859, 3148072, 20876282, 80335514, 11128502, 11743384, 25167378, 109216215, 60676671, 18865190, 129700305, 58222443, 184634015, 10845223, 13554373, 24338464, 51068483, 24766906, 58739208, 43158043, 86746477, 136391160, 119620429, 36523646, 73828439, 117082521, 7492623, 77572742, 19222845, 39110559, 31237302, 6836826, 6823891, 182665927, 32328827, 58017186, 79870237, 37542637, 60646589, 125381541, 42348667, 52774061, 30623069, 41462580, 8162613, 85809652, 66953849, 1250663, 90784850, 3801035, 5008904, 6292514, 55223196, 25620397, 22717768, 114006607, 23424037, 1650900, 293362051, 26019715, 34389479, 33560528, 158189237 ], [ 47394511, 97085922, 20551867, 64949304, 136245013, 49446834, 5481880, 92093921, 47429823, 14650532, 11836062, 38819351, 8799657, 13920403, 4724026, 47161064, 18518610, 115646117, 36161704, 10432478, 58345481, 40515321, 8824962, 13165614, 8151623, 46559750, 17558543, 2539870, 36979083, 9811063, 51835958, 4276608, 130629805, 57131852, 130064242, 22598478, 27252679, 59240145, 86884185, 36700884, 161630182, 7658704, 89956363, 124972417, 91330508, 134458487, 46963576, 33027000, 42823446, 52133795, 26014536, 20481205, 12789386, 211551143, 74241463, 13802806, 1974420, 7865970, 14648640, 43571974, 170738485, 46481541, 19248583, 1458003, 32124798, 21279826, 9199391, 313465, 42822182, 11128502, 22704879, 52984947, 26179740, 3573302, 18865190, 29962433, 142157452, 62078491, 2725695, 26225179, 160852422, 52330973, 188841, 94155543, 47934170, 7244825, 26321502, 32438638, 74453127, 5362144, 25901517, 125731858, 47854487, 19222845, 4982726, 5232805, 63753642, 6823891, 21415748, 63975941, 5967825, 8410322, 64410245, 2842731, 52054712, 112277713, 3085938, 56759152, 7958284, 90910513, 6416421, 70875298, 34900327, 15844133, 24170443, 37495361, 6292514, 106765237, 6185422, 51565532, 263551128, 76350134, 11508046, 81277898, 12114064, 40905260, 13486249, 34091117 ], [ 22881606, 38167608, 16012656, 85956705, 1663922, 19122126, 274410759, 196215449, 25044537, 53988238, 38036421, 47126856, 158137829, 101494557, 133975984, 79953024, 206066800, 44442671, 251737654, 180151194, 1549220, 12324731, 49474096, 41407214, 1830157, 43176167, 63526951, 8874972, 5083551, 21147669, 90105736, 48525486, 88527179, 97403288, 39994782, 52512232, 56163086, 21685856, 217041723, 109689335, 50758034, 13424672, 34362516, 33410745, 89030080, 104853654, 166347001, 40785375, 60233218, 224854834, 27794976, 87331021, 146891809, 8425072, 47110452, 123520088, 75770217, 6045037, 9193691, 338191229, 135314242, 24564233, 38504136, 7969807, 17242752, 114734156, 117692617, 12512447, 25329720, 11128502, 65514646, 6038789, 14422191, 118429636, 20588532, 129627207, 1278016, 4232416, 11385675, 26339033, 223775897, 131864998, 118173624, 89068378, 179762713, 23974405, 35069163, 85102900, 20108925, 45315856, 65741166, 13446729, 191273026, 19222845, 15727200, 48594798, 9904138, 43184542, 56654428, 30702354, 477624, 15201803, 64410245, 178227971, 49987651, 60881301, 38484741, 21571738, 118933817, 156805147, 76200431, 13577171, 14922597, 58672491, 163229229, 66124152, 14187457, 9219250, 5548202, 118754640, 103526719, 76350134, 84417845, 170742456, 105214847, 129729684, 73978564, 13783201 ], [ 21558405, 37850569, 9024081, 80487212, 33277103, 7829423, 47832064, 24077093, 47429823, 38760431, 38036421, 74243328, 8799657, 74860991, 223551612, 2714189, 313097510, 8106186, 68485894, 30087388, 26012083, 46042705, 54507159, 34088334, 82651036, 46559750, 13003503, 8874972, 4139590, 9811063, 5097332, 70712698, 107940106, 19490018, 9919743, 60065583, 140274632, 142357519, 58347541, 101321538, 92344462, 39668587, 98787651, 93323456, 55221919, 15363598, 46963576, 5528881, 102949115, 41146148, 114409998, 86665551, 78451727, 27015611, 47110452, 13802806, 77833377, 6045037, 13695181, 20634700, 211321716, 24564233, 56251152, 7969807, 71503253, 137077539, 117692617, 101543171, 94420609, 11128502, 80083576, 154347737, 26179740, 8393207, 6876818, 18578097, 142157452, 92990750, 52479638, 19249411, 76332171, 154779213, 24766906, 204831672, 259487319, 23136344, 112378376, 143590005, 36523646, 73828439, 28854300, 7492623, 8702321, 19222845, 54046127, 5229812, 63570047, 15323433, 120942694, 9350717, 327896004, 22447868, 64410245, 28666453, 37730568, 53980038, 38484741, 62486712, 19157580, 94194490, 8231717, 11910858, 108892514, 58672491, 162901039, 13997662, 5189760, 5217714, 24346444, 22717768, 86468677, 67476139, 6464083, 121996712, 168423412, 11471555, 13263547, 59881781 ], [ 24568957, 65502159, 74388759, 319642718, 125013236, 173513367, 157367015, 103764968, 47429823, 293448140, 119367130, 55136879, 71615469, 193996480, 4724026, 120030736, 14554885, 65099011, 63538475, 23242567, 19684146, 46042705, 54507159, 34088334, 12130458, 31062438, 10281903, 31043805, 23013064, 21147669, 35615106, 35171608, 130629805, 19490018, 9919743, 67866536, 89979232, 88427717, 12969820, 109689335, 11142073, 39668587, 49905013, 14539178, 112968001, 38061360, 46963576, 145062040, 84387194, 37415099, 26014536, 26238030, 246096465, 67955405, 74241463, 34775875, 24442330, 71019915, 557554, 84019932, 265254861, 34422962, 162581792, 42752385, 72709699, 74773151, 19360818, 116873020, 94420609, 11128502, 42411904, 210114022, 73522015, 1839938, 300211948, 157144242, 21526573, 153006348, 19353368, 27824878, 49030490, 142980399, 6244249, 152145799, 197187803, 350319, 9650165, 39696775, 52984891, 10678242, 28854300, 7492623, 53375586, 19222845, 26139271, 5229812, 67645718, 43573138, 97770868, 32328827, 134856884, 36104330, 11682868, 114835017, 19451382, 104883979, 26193498, 3824292, 47630796, 92632129, 8231717, 51741633, 3266023, 66465211, 54105713, 39325973, 82300461, 9219250, 39902837, 75484043, 32182005, 63207095, 6464083, 34953256, 12114064, 74318877, 4450784, 82023210 ], [ 24568957, 73957937, 91521943, 39530436, 25910147, 69366484, 52035445, 269223761, 47429823, 71013518, 112236393, 55136879, 16948464, 75666424, 88260215, 2938367, 98507634, 75726876, 118177340, 128972561, 274219147, 11373689, 7097485, 16439853, 79409986, 43176167, 17558543, 1304284, 57403664, 21147669, 74679388, 28857644, 130629805, 137523319, 282226240, 18914570, 89979232, 90589342, 12969820, 36700884, 188043164, 40888412, 202443936, 124972417, 85409986, 37449118, 46963576, 5528881, 79187697, 36448829, 15383545, 87331021, 105766750, 16235886, 18316860, 86751626, 18247964, 76086946, 148483729, 95076704, 43935746, 39136978, 57373094, 485589, 235194001, 114734156, 69562943, 53716457, 97144396, 11128502, 73727449, 6038789, 217209329, 23540961, 279313690, 51139277, 79603216, 56701402, 202824160, 108979105, 160852422, 167155196, 12545425, 21248758, 29354841, 24436457, 168326705, 34969278, 48669013, 73828439, 57403451, 17197063, 176141541, 19222845, 93865031, 64418028, 58884049, 43573138, 76660631, 63975941, 31953348, 191146811, 64410245, 33373381, 5910747, 251543740, 45726678, 49394737, 82610939, 5175904, 232195404, 27382384, 22799841, 243308792, 22339903, 77874438, 476830468, 30194707, 69349868, 51565532, 10094996, 263588938, 114931226, 23839818, 12114064, 166270172, 52870653, 62721462 ], [ 197573000, 97085922, 91521943, 64949304, 136245013, 19122126, 19628256, 132883907, 10369549, 151014343, 23414985, 74243328, 71615469, 212728588, 49479910, 23830562, 76141940, 10053466, 173877854, 25067792, 69861726, 174630555, 54507159, 39252971, 15072477, 455495, 7868675, 75995835, 48760383, 21147669, 11870285, 70712698, 31165727, 19490018, 9919743, 119190490, 85660278, 100440667, 134092666, 49580921, 158735679, 48946158, 89956363, 119511733, 112968001, 10151165, 157687454, 11190101, 28791263, 74072866, 26014536, 87331021, 284266272, 49755262, 98129014, 10654555, 116601559, 500064, 14648640, 148854209, 47814554, 4291144, 166247101, 7969807, 207513648, 4513084, 9903185, 154846351, 23333317, 11128502, 22704879, 108351686, 43998752, 12467909, 20588532, 175556028, 44868206, 25369199, 52479638, 26225179, 231732760, 176068714, 71730383, 140116245, 101865112, 23974405, 14478024, 143590005, 16318277, 5362144, 28854300, 7492623, 23401976, 1827306, 106623822, 14346587, 16147250, 26240295, 119786801, 170678808, 38739720, 23230623, 22173503, 155260947, 165357810, 154866551, 116792331, 43313435, 7958284, 126870997, 143111597, 100815783, 34900327, 259420844, 9618159, 74931875, 14187457, 9219250, 84983974, 72702341, 1819671, 63207095, 6464083, 3030832, 78854301, 23508917, 52134026, 54727878 ], [ 14107149, 75324996, 25644859, 16731334, 136245013, 19122126, 81223123, 7341564, 31816588, 137471838, 42522121, 74243328, 71615469, 18894141, 49479910, 12466442, 71772261, 8235892, 5312691, 28941804, 29984501, 70120030, 16621108, 34088334, 7184443, 2984515, 41356795, 46274253, 2923538, 9811063, 162938959, 9444588, 13192576, 1422517, 9919743, 22598478, 81213045, 48303051, 15322229, 132614146, 158735679, 7658704, 82273553, 17925071, 7150152, 9452418, 46963576, 5528881, 7675613, 16255500, 26014536, 20481205, 43097546, 63270843, 34066122, 13802806, 179471924, 1189045, 14648640, 6610976, 43117440, 46481541, 33395442, 7969807, 14845455, 4513084, 41588812, 403912, 78717629, 11128502, 65080746, 115899980, 26179740, 70945727, 158658557, 18578097, 26633138, 60945208, 36187991, 26225179, 59944870, 100430043, 24766906, 90826362, 12184028, 23136344, 4519966, 65859679, 47087107, 73828439, 75955374, 7492623, 32192596, 19222845, 79091183, 5232805, 87409555, 43573138, 42197239, 26937213, 94151193, 20750624, 25804913, 2842731, 108013928, 10148911, 76288279, 93866529, 26093144, 26274145, 8231717, 11910858, 34900327, 24390536, 13044790, 54020692, 14187457, 36561778, 8464644, 11520981, 177993574, 67476139, 58109525, 76733489, 12114064, 67030000, 13486249, 61077805 ], [ 5468845, 13262061, 21464014, 30009118, 25910147, 7829423, 19673885, 43273730, 44140979, 111941412, 56884539, 28429720, 1552498, 62120632, 25672922, 71614902, 18518610, 148363555, 51287163, 21811876, 130716369, 6226733, 54507159, 34088334, 8151623, 44825325, 121964376, 8874972, 998259, 21147669, 162938959, 28857644, 47875598, 113046100, 9919743, 22598478, 1495963, 52373374, 146442701, 37153598, 54670512, 92862550, 98787651, 119511733, 111112524, 10151165, 17429274, 145062040, 77455240, 55932329, 26014536, 10030682, 12789386, 45244718, 7516037, 34775875, 20205071, 6045037, 11163758, 17090967, 44338476, 26294166, 48014926, 7969807, 72999968, 4429395, 31291139, 26818306, 17798266, 11128502, 22704879, 6038789, 43998752, 60270550, 76814743, 29962433, 11894363, 25369199, 52479638, 19249411, 38633454, 85794052, 24766906, 99854249, 94396060, 23136344, 44128039, 90388454, 35901352, 73828439, 1357031, 7492623, 23401976, 19222845, 27348934, 5229812, 31812472, 43573138, 46980226, 38867682, 94151193, 33687528, 22173503, 52793063, 18629613, 19909213, 40731865, 54216714, 35164341, 26274145, 8231717, 15125582, 18962660, 6531870, 88138403, 77874438, 6292514, 36561778, 39902837, 31231186, 7805551, 23424037, 142662399, 22954088, 24298174, 15123677, 16026912, 4334444 ], [ 206242494, 97085922, 28954775, 8511553, 125013236, 7829423, 75869350, 237504888, 47429823, 56812933, 119367130, 55136879, 71615469, 32351205, 57273016, 52548829, 98507634, 69607594, 51287163, 77900533, 89116890, 29372378, 40985255, 34088334, 18345311, 43176167, 58205030, 46274253, 998259, 21147669, 182484876, 19256234, 28190702, 18212595, 9919743, 22598478, 37182016, 21224022, 17640610, 15812072, 36108440, 39668587, 49905013, 26612374, 45483235, 110001842, 3890878, 14928801, 116687584, 12253350, 26014536, 46356575, 115691539, 28922729, 17366602, 10654555, 177760154, 71019915, 14648640, 16330527, 144405045, 75468050, 44960964, 48164330, 23802493, 152204219, 73859478, 20876282, 40194446, 11128502, 294734429, 73698525, 261087345, 226086838, 105578293, 116247650, 142157452, 25369199, 19353368, 105789928, 76332171, 77870115, 24766906, 195467593, 101744987, 23136344, 16047247, 143590005, 52984891, 73828439, 293102455, 2933573, 111219220, 77843833, 97838497, 140188466, 75035436, 26240295, 77833564, 3962925, 213665491, 79870237, 64410245, 114835017, 29603894, 2904225, 62693356, 55990207, 35164341, 261165357, 26874402, 36924670, 45102049, 271356351, 56142215, 50231375, 14187457, 171838871, 52506329, 51565532, 32182005, 36500623, 1622103, 22954088, 73978516, 79148097, 8438163, 97882522 ], [ 133926305, 22529708, 91521943, 232641709, 25956196, 7829423, 81223123, 278652847, 243017485, 77454367, 111594686, 6951828, 34104057, 29888653, 57273016, 7717917, 7619152, 12209661, 51287163, 96866342, 29984501, 46042705, 54507159, 65539495, 147931105, 43176167, 114822101, 31043805, 73724318, 21147669, 18376985, 23345580, 28190702, 30705108, 9919743, 7620834, 277657016, 146084899, 123466888, 29478518, 161630182, 39668587, 98787651, 11997696, 82783919, 2299448, 26518334, 14156480, 28375916, 224854834, 50308721, 87331021, 65280390, 28863318, 98129014, 29246001, 26847428, 34742023, 14648640, 40026291, 123106573, 127075305, 33395442, 48164330, 758187, 23458859, 44087528, 11729070, 67191282, 8937545, 81048222, 74603505, 111291102, 97447020, 66563042, 17535400, 239703360, 41301921, 19353368, 77867070, 334235957, 629887, 54757914, 87462983, 71345950, 23974405, 206098179, 143590005, 52984891, 15850384, 156400661, 7492623, 34547151, 19222845, 101763516, 28819742, 203199752, 43573138, 272014843, 8258553, 207472463, 162192147, 11205384, 52793063, 100601120, 2904225, 47583747, 43313435, 35164341, 24606751, 8198026, 24708084, 15506915, 70427007, 82942956, 226901, 14187457, 9219250, 61994853, 94962878, 32182005, 53718499, 43727282, 4842699, 84579698, 49757387, 31028154, 158189237 ], [ 8992022, 97085922, 213557621, 157120283, 136245013, 99094700, 138825044, 222123072, 11338106, 77454367, 42493755, 32318337, 36188612, 82164340, 53878975, 374584372, 148249129, 216739919, 51287163, 96866342, 147671229, 46042705, 48133062, 34088334, 113158734, 43176167, 10138301, 138872103, 85673659, 147522623, 32318278, 148166158, 40279073, 167774481, 9919743, 6019223, 154444328, 206894540, 143721966, 169766855, 106118010, 39668587, 98787651, 124972417, 239972320, 92351316, 35252145, 54676401, 43837888, 224854834, 33164069, 81893355, 5217428, 351252301, 98129014, 202432656, 75770217, 392066546, 40643550, 108112636, 39023430, 163526627, 166247101, 74046888, 41662013, 116759225, 37979439, 12512447, 158975681, 11128502, 81048222, 104722467, 404661511, 174888759, 33384915, 2696608, 265719819, 313359370, 13309723, 167507113, 248744047, 48006655, 84254983, 26791723, 179762713, 23136344, 192082432, 143590005, 52984891, 73828439, 133988144, 7492623, 138178455, 19222845, 15727200, 5229812, 180196922, 43573138, 313766547, 8258553, 48511171, 26832688, 64410245, 108069336, 165357810, 60881301, 6372954, 6373325, 35164341, 47500651, 4677087, 18668880, 34900327, 194919342, 87990128, 77874438, 123359600, 35764774, 39902837, 94962878, 50958776, 67476139, 103093004, 4842699, 57745599, 380106603, 158170107, 8385885 ], [ 21192448, 83328899, 9024081, 80487212, 33277103, 6279852, 89474193, 70188116, 11338106, 69172837, 13744143, 55136879, 22757081, 13920403, 13960251, 50478374, 51625117, 26833277, 67004930, 25067792, 7083997, 47669610, 8824962, 233575, 4155465, 455495, 22853199, 46274253, 36979083, 9811063, 10192027, 30479417, 92420806, 18333928, 9919743, 23372866, 3361707, 90589342, 84598180, 48236911, 76030421, 46145182, 4870208, 744442, 61634632, 8738751, 39783451, 5528881, 7617318, 29492371, 27794976, 13873668, 51243350, 66107608, 17366602, 3595795, 75648262, 25711045, 11163758, 62030937, 35918504, 2747800, 65378194, 36769191, 83584128, 137077539, 40351765, 3498867, 23333317, 11128502, 27213168, 110631112, 26179740, 108333800, 20588532, 23018050, 39107390, 31532024, 95255415, 63757505, 76332171, 629887, 24766906, 44132777, 64106011, 23136344, 32068275, 27011019, 48669013, 33981321, 90594670, 7492623, 8702321, 8024934, 97838497, 5229812, 9904138, 15323433, 65795867, 9350717, 6496455, 22447868, 37542637, 15381447, 13510176, 115267121, 52774061, 30623069, 12933874, 94194490, 84618934, 73210852, 40955878, 194919342, 158375120, 37966319, 14187457, 61956844, 19888394, 94962878, 1717374, 67476139, 17832662, 75288835, 12114064, 71410598, 33560528, 8385885 ], [ 24568957, 79843101, 58599775, 35292679, 25910147, 7829423, 199525473, 51848611, 47429823, 65059950, 19436251, 12932150, 8799657, 59370111, 140862904, 79205732, 6159804, 19769984, 76057759, 6868206, 29356258, 46042705, 52292132, 106828429, 31517016, 32074440, 17558543, 8874972, 4139590, 21147669, 88590952, 48525486, 39949637, 53937053, 6965421, 22598478, 85660278, 147319815, 110155120, 36700884, 53670039, 26317362, 49905013, 25169042, 57221722, 57317810, 926184, 59537697, 79187697, 143629255, 26014536, 37443353, 111841893, 28922729, 47110452, 6727468, 46163517, 7865970, 14648640, 16330527, 67373874, 146962618, 44960964, 27329795, 139566993, 9495703, 110304335, 20876282, 30422587, 11128502, 47738403, 6038789, 60675137, 60270550, 15707467, 116247650, 17451505, 90102240, 19353368, 1081391, 45404420, 19377587, 4921097, 62780085, 48897944, 23974405, 40583292, 28187199, 52984891, 115986313, 1357031, 7492623, 28153125, 19222845, 53228453, 113269742, 78521448, 43573138, 26411500, 3962925, 14369341, 9498304, 64410245, 88710090, 18629613, 4696912, 38484741, 34189786, 11261624, 9621699, 25906205, 41392187, 1250663, 58672491, 86784190, 50045932, 14187457, 9219250, 19570202, 38038820, 7440492, 20750769, 24447213, 67571402, 129515953, 21819546, 54663602, 82023210 ], [ 174162059, 22529708, 40203496, 70998739, 31462062, 7829423, 28004486, 35571681, 193137883, 65059950, 19971613, 7556272, 13851165, 203228203, 17075894, 115037854, 17575616, 44778422, 31418221, 29461190, 17088587, 99847869, 54507159, 117605892, 4836413, 6217008, 96558044, 13018025, 4139590, 21147669, 35644849, 11130479, 73343376, 19490018, 9919743, 181488963, 11476920, 904925, 8572098, 3352740, 131128963, 155904702, 57419056, 110307916, 235121639, 45054839, 133729292, 129919605, 52344593, 121623816, 27794976, 13873668, 35277882, 67955405, 98129014, 29246001, 121342861, 6045037, 14648640, 2869563, 55096140, 826623, 33395442, 7969807, 2412463, 23458859, 110304335, 17338867, 14188078, 11128502, 95310663, 91707212, 12873107, 12467909, 1212561, 102371142, 55950860, 10001785, 52479638, 19249411, 19394570, 629887, 54757914, 67433929, 46285086, 11342877, 43436496, 65143038, 112287484, 10208794, 28854300, 7492623, 19181154, 5920680, 163961914, 18575144, 9904138, 43573138, 120942694, 30702354, 51600949, 39423395, 39741084, 80422364, 70135745, 38144484, 38484741, 25347293, 11261624, 33265936, 168782422, 152283894, 108892514, 23255725, 37542398, 77874438, 14187457, 2726960, 5907343, 64449283, 51613150, 76350134, 6464083, 78707398, 24030879, 7443946, 54663602, 21660261 ], [ 187093676, 88784535, 91521943, 74294844, 25910147, 7829423, 40798206, 88185506, 260115213, 28696083, 19971613, 74243328, 22757081, 13920403, 5638664, 189663752, 15359907, 115646117, 110017960, 29461190, 29356258, 327963514, 54507159, 34088334, 8151623, 43176167, 1423423, 2566108, 4139590, 21147669, 171385023, 15807261, 57850485, 19490018, 9919743, 22598478, 85660278, 206894540, 48869529, 86509843, 133356784, 7658704, 49905013, 16912379, 45606178, 92174743, 113245592, 39599464, 17788818, 85786520, 82630302, 4476976, 12789386, 137685190, 42697591, 170309082, 17628513, 25872559, 14648640, 97554765, 55096140, 89376355, 104240895, 12197004, 9095867, 86042268, 117692617, 12512447, 50326426, 3937809, 47738403, 157661511, 104330210, 12467909, 1212561, 116247650, 3490129, 10226322, 8288164, 6528954, 78255223, 19377587, 14403688, 67433929, 140798236, 23136344, 143989921, 111594202, 149029918, 73828439, 28854300, 7492623, 83105566, 19222845, 13596113, 88075276, 64682674, 43573138, 110766261, 53249682, 207472463, 39423395, 64410245, 2842731, 18629613, 60881301, 14736201, 21571738, 12933874, 12699353, 31533926, 18254215, 1250663, 58672491, 126226810, 20071543, 14187457, 9219250, 19888394, 51565532, 10050576, 76350134, 6464083, 111770189, 97987349, 132455657, 54663602, 35772956 ], [ 133471564, 25627318, 12633045, 75194966, 25910147, 38081745, 60053269, 160607, 38287591, 71013518, 22907577, 6234330, 4691642, 98244051, 124769759, 53446104, 35635354, 1320109, 29159332, 43979584, 100336624, 46042705, 17237959, 36846438, 79409986, 46559750, 16674892, 2566108, 4139590, 21147669, 1568714, 76424206, 33588870, 15607790, 9919743, 51382419, 118469328, 79486739, 71706471, 34580727, 11142073, 6511714, 62927217, 52801849, 51032733, 8738751, 11657435, 33600193, 116687584, 56346379, 26014536, 26190823, 3002864, 49649876, 67019862, 123894405, 22877542, 7865970, 78600604, 108112636, 44338476, 163526627, 5599765, 36769191, 2663878, 23458859, 49483502, 20876282, 78717629, 11128502, 51283166, 54768859, 129111987, 60270550, 177618837, 188749759, 164224496, 63193423, 76316761, 19249411, 45404420, 240350028, 81937005, 4420550, 36497374, 56661115, 4519966, 34969278, 52984891, 25591598, 89650984, 7492623, 167418463, 19222845, 34260289, 5229812, 47946239, 43573138, 34881830, 32328827, 32241125, 79870237, 48659214, 129279767, 18629613, 54920280, 36849268, 23450023, 35164341, 63829230, 66908106, 14097061, 108892514, 24390536, 54283146, 22788190, 21835859, 4263372, 39902837, 7574241, 10094996, 67476139, 48791520, 21025070, 73978516, 44785241, 54663602, 18723234 ], [ 26167352, 86128124, 74388759, 43872504, 119583545, 148945424, 41532827, 10938352, 123919210, 64903770, 98770052, 74243328, 84520594, 11534062, 23609316, 47815017, 35635354, 109218945, 2576077, 138673085, 29984501, 183131299, 54507159, 3378470, 25667255, 65192324, 17511594, 158846574, 69219684, 21147669, 92691441, 20613682, 13784895, 19490018, 46408474, 19378451, 26161693, 206894540, 82979194, 194479144, 85422202, 7541552, 54049957, 6081311, 7150152, 171907556, 10632330, 37916518, 28791263, 74072866, 4981553, 86665551, 47589363, 28863318, 17366602, 86751626, 45905306, 500064, 23762796, 59871649, 6207749, 12873619, 33395442, 57173112, 19566584, 23458859, 107754139, 12512447, 90886411, 11128502, 58691418, 128499382, 73522015, 11856924, 33384915, 119394436, 304789851, 2722352, 3261094, 47797032, 76332171, 629887, 54757914, 119629835, 17176988, 23136344, 14478024, 65261005, 34164230, 51962303, 2486826, 31276053, 78426205, 19222845, 15727200, 5229812, 67645718, 33673721, 64617804, 81208466, 219565099, 89718832, 64410245, 30818672, 30339748, 60881301, 72639193, 21571738, 35164341, 17299405, 31533926, 51741633, 69639136, 63331020, 66486379, 77874438, 91712031, 134045925, 39902837, 7755034, 1819671, 44399610, 6464083, 32373667, 15844806, 115487619, 50635892, 158189237 ], [ 39264413, 75324996, 74388759, 149213274, 114891497, 43184210, 54676770, 10728620, 47429823, 140338197, 23414985, 74243328, 16948464, 64941926, 20968951, 11534976, 31779127, 17226186, 5312691, 25067792, 1001123, 172141060, 7097485, 16439853, 15072477, 455495, 16674892, 221326199, 36979083, 9811063, 26904286, 11282436, 28190702, 15607790, 9919743, 18914570, 89979232, 69478686, 9985536, 61260240, 38921735, 18823905, 54049957, 124972417, 51032733, 181581527, 46963576, 33600193, 194353490, 41380616, 26014536, 26984555, 24439858, 37635859, 39497892, 13802806, 62931609, 10537101, 13505037, 97694754, 35918504, 14657126, 33395442, 39771727, 88274678, 4770883, 120024304, 23861377, 23333317, 576126, 2070106, 104722467, 26179740, 1839938, 112527403, 167877967, 88242413, 153382927, 10845223, 3400982, 63506446, 19213264, 24766906, 8889224, 4667868, 77275988, 32068275, 71652630, 74453127, 1586059, 1063471, 7492623, 77572742, 19222845, 9455114, 62454713, 203164160, 35536884, 46240026, 91173177, 31953348, 22447868, 16177138, 132992065, 19937624, 2904225, 27894267, 134272180, 46180599, 28598979, 22496294, 51741633, 17980645, 124412136, 21042131, 77874438, 3207842, 169127289, 24346444, 94962878, 21759941, 52548562, 140168021, 3053059, 1867846, 86094549, 37911299, 18723234 ], [ 170467530, 22733343, 82630026, 118356637, 25910147, 7829423, 139578499, 99170539, 47429823, 69172837, 57721292, 13446781, 71615469, 98244051, 205191867, 40382204, 21637467, 35103738, 125799658, 128972561, 7183235, 46042705, 54507159, 9562844, 4836413, 43176167, 169071362, 8874972, 4139590, 21147669, 35096132, 94730687, 92045673, 44798675, 9919743, 18075485, 1495963, 12647385, 25916821, 27290270, 82601490, 39668587, 11975416, 1795485, 24402478, 26756419, 45977162, 5528881, 75653504, 3728851, 26014536, 35913558, 10215045, 18566832, 47110452, 133031269, 4645751, 6044690, 74150492, 1753138, 213451028, 212710048, 102917983, 74046888, 28367226, 86079933, 131606927, 116873020, 15266253, 2608456, 47738403, 6038789, 20999590, 19667663, 20588532, 33677359, 3439902, 55451337, 49381587, 19249411, 283824684, 70360465, 16840117, 39914296, 25004317, 84950626, 69719217, 27058796, 19474049, 70172630, 255389819, 7492623, 112610509, 19222845, 62289908, 65866096, 3057118, 43573138, 110766261, 6497371, 65617721, 79870237, 26338059, 33373381, 18629613, 201181558, 52774061, 437449, 35164341, 110907431, 177812694, 10322426, 42463459, 30945225, 7083149, 77874438, 7525148, 9219250, 153175061, 32474783, 10094996, 10996978, 137417374, 78707398, 88179616, 195395830, 54663602, 13255440 ], [ 9653816, 13262061, 9024081, 22543064, 136245013, 7829423, 6143453, 527077, 11338106, 73989751, 19436251, 26995637, 7976444, 97544519, 23609316, 69899350, 18949167, 38602143, 5312691, 12230160, 69861726, 37814712, 37469071, 34088334, 15072477, 3571107, 72970822, 46274253, 1777641, 9811063, 18868814, 17844472, 33744510, 19490018, 9919743, 6019223, 16958417, 6952300, 85321293, 19421974, 17818759, 30692901, 2746479, 52687771, 7150152, 10151165, 19848542, 28538266, 26429000, 41380616, 26014536, 72386568, 51243350, 49755262, 115547, 5372661, 21636417, 7865970, 11163758, 69877434, 137469791, 18065478, 102070265, 18645977, 23802493, 23408616, 6272103, 20876282, 5653064, 11128502, 38757949, 38727491, 592084, 336618, 49304217, 73953910, 91856799, 4141832, 50133139, 11823460, 78255223, 19213264, 20229254, 59730645, 12184028, 23136344, 38744444, 37371726, 6061460, 1586059, 27460128, 5193768, 23401976, 19222845, 4934861, 5229812, 9904138, 20681201, 108319254, 9350717, 12262396, 22447868, 21249530, 5648562, 23382202, 30441055, 11881056, 14415215, 12821873, 94194490, 19902972, 51741633, 32267617, 154985210, 40578428, 13721683, 6292514, 63080589, 19888394, 22717768, 7440492, 67476139, 6464083, 75288835, 26256355, 67233881, 8438163, 8385885 ], [ 113659710, 41557991, 91521943, 41069145, 136245013, 83186706, 199525473, 10938352, 47429823, 207273778, 19436251, 68983851, 8799657, 118060902, 193341203, 75271327, 35635354, 10053466, 67004930, 25067792, 58015787, 99847869, 7097485, 34088334, 15072477, 455495, 5099442, 39788990, 36979083, 9811063, 145809542, 184953120, 122536234, 67057737, 9919743, 41163899, 32894916, 142357519, 82979194, 15027481, 74582199, 88928961, 16118041, 1795485, 39598691, 45054839, 46963576, 135147043, 76526466, 41380616, 17059383, 86665551, 123833498, 72821071, 74241463, 13802806, 75770217, 7865970, 14648640, 186529322, 99257009, 21808568, 72241774, 21942070, 23182152, 23458859, 6272103, 3498867, 23333317, 11128502, 22704879, 166078129, 26179740, 71016383, 33384915, 68673199, 142157452, 36564773, 44841138, 26225179, 45404420, 40201275, 24766906, 21883622, 25004317, 23136344, 4519966, 63306276, 142786641, 73828439, 50952744, 5193768, 98587144, 2279026, 15727200, 5232805, 167486168, 6823891, 6156720, 81208466, 31953348, 22447868, 54855577, 112236543, 51408379, 58271000, 19570961, 21571738, 132646169, 110907431, 321382247, 78714924, 34900327, 24390536, 19912328, 77874438, 14187457, 4263372, 24346444, 94962878, 7440492, 67476139, 42882095, 30294394, 59587820, 13483105, 144813731, 18723234 ], [ 6649819, 22529708, 16012656, 43872504, 12917773, 27667633, 81223123, 160607, 47429823, 111006743, 22697464, 50370102, 71615469, 69439694, 14009588, 69899350, 35635354, 3025141, 53396600, 25067792, 29984501, 46042705, 49257403, 34088334, 15072477, 455495, 137355885, 266246071, 59584493, 21147669, 14630227, 14104276, 13784895, 42594670, 9919743, 75232070, 107475684, 6682357, 23580742, 63226316, 25078745, 6511714, 5403274, 124972417, 57221722, 109407790, 10632330, 145062040, 49538885, 35503121, 26014536, 86665551, 1400950, 21139736, 27511109, 29246001, 107804178, 9884510, 11163758, 39586600, 94996193, 24673442, 33395442, 47569580, 40414561, 23458859, 65187217, 121142618, 15266253, 11128502, 27213168, 166078129, 14400624, 108333800, 55101405, 133236209, 92099294, 97048183, 10845223, 26225179, 68894887, 76810185, 24766906, 45077948, 10811288, 23136344, 11496746, 23820794, 19474049, 73828439, 90594670, 7492623, 77572742, 19222845, 60854711, 12632500, 13351809, 43573138, 8006431, 6497371, 115905528, 79870237, 19066068, 46975680, 34374270, 58271000, 25666610, 29246395, 26093144, 17299405, 31533926, 61557958, 1250663, 48010445, 7083149, 77874438, 14187457, 4263372, 5548202, 10401908, 51613150, 23424037, 68831384, 32373667, 142364848, 37640331, 13486249, 29288678 ], [ 63235793, 13262061, 4436961, 74511019, 136245013, 7829423, 149066583, 10728620, 47429823, 223750329, 32160949, 31977768, 71615469, 190290853, 180966442, 3170340, 7619152, 10053466, 14248063, 99263885, 97304613, 116153520, 42516428, 60072784, 8151623, 23604150, 17558543, 31043805, 166779485, 21147669, 61756942, 48525486, 130144735, 129181109, 9919743, 116097973, 43097102, 26850924, 23580742, 36700884, 66291921, 74514401, 98787651, 124972417, 51032733, 109407790, 22487531, 5528881, 79187697, 80539667, 26014536, 36602426, 12086014, 29583474, 74241463, 89522733, 43231936, 57345974, 14648640, 90923096, 68185028, 48287149, 38504136, 15008321, 758187, 118351178, 75162782, 116873020, 4426774, 11128502, 89756829, 114889825, 104330210, 118429636, 20588532, 116247650, 94711742, 71500726, 70060898, 108979105, 160852422, 170624355, 24766906, 56691302, 44399837, 23974405, 4519966, 45723755, 12596429, 73828439, 39442493, 7492623, 53375586, 7297955, 93746334, 5232805, 9904138, 43184542, 231865044, 6497371, 207472463, 6227883, 64410245, 28666453, 19801132, 55458014, 159000088, 43313435, 95185327, 150118051, 31533926, 148344341, 1250663, 24390536, 7083149, 45471638, 14187457, 9219250, 162226585, 90507478, 105796363, 67476139, 24517759, 32373667, 175513160, 43113982, 1957996, 47159831 ], [ 14107149, 73957937, 9024081, 24169064, 25910147, 53865188, 34444996, 28516975, 48005669, 14650532, 3693519, 49874935, 50541118, 3626888, 7894273, 24770995, 21637467, 44778422, 5312691, 13584043, 29321961, 46042705, 45201766, 34088334, 13014430, 19300595, 17511594, 2566108, 15008200, 21147669, 90105736, 533016, 24847453, 30579412, 9919743, 22598478, 32677055, 12448949, 32765113, 36700884, 64471569, 17280545, 6687197, 91651034, 39598691, 9452418, 4572319, 33027000, 34271803, 25566948, 27794976, 649515, 27688966, 11660676, 26888288, 2255300, 71835807, 8221730, 8476748, 17090967, 35213388, 25224650, 10055390, 40389028, 25872681, 34035772, 12252603, 313465, 9998005, 2601584, 1927362, 2579604, 12361172, 7409211, 20588532, 64300191, 22011067, 4232416, 36124011, 11409806, 29628405, 6808601, 12545425, 32926358, 5255325, 2891313, 58691401, 34969278, 52984891, 40317842, 13926909, 7492623, 1278729, 2279026, 60854711, 5229812, 1851798, 43184542, 17207954, 9350717, 43098039, 6227883, 48659214, 5648562, 5910747, 42055225, 1030147, 1634069, 7352501, 3674981, 978679, 66045757, 15506915, 6531870, 67189565, 42640098, 5019254, 4956964, 39902837, 1565908, 7440492, 2485405, 4699304, 30294394, 11770568, 2809997, 24965760, 4334444 ], [ 26351247, 25627318, 14159049, 42970681, 25910147, 103244094, 43480748, 23676124, 78122635, 3752199, 22629165, 17470031, 7096868, 57735337, 17558417, 75902781, 1105172, 30847397, 32834997, 564141, 69861726, 46042705, 39877158, 34088334, 25454020, 3571107, 99592887, 105300430, 35399408, 395870, 39230023, 28857644, 356682, 51936031, 118131740, 6019223, 85660278, 11901413, 38302382, 25818812, 26013665, 2871494, 67042467, 36578333, 7150152, 29193771, 18436727, 114918332, 202155066, 107147779, 23911754, 87331021, 39235449, 19186754, 98129014, 36058044, 89672836, 29285357, 25272896, 95076704, 165458417, 39536786, 83586451, 40389028, 18344137, 13614381, 24022260, 339199, 7449742, 11128502, 101377208, 6038789, 56821650, 6787830, 20588532, 70742276, 49168238, 17468607, 29660403, 25246702, 72337696, 223552650, 84254983, 26791723, 48897944, 23136344, 38520287, 143590005, 30838529, 44242114, 2791536, 12105725, 33788022, 7968303, 19964325, 25973217, 29218734, 5567090, 110766261, 2040281, 61104428, 4044803, 64410245, 5648562, 18629613, 20627281, 3435798, 93665442, 35164341, 3674981, 20732882, 47101880, 8644839, 1628423, 87990128, 53110477, 39586600, 26257979, 57381738, 635348, 10094996, 67476139, 7835746, 78707398, 11770568, 102009333, 39011870, 10215374 ], [ 116173051, 40947506, 9024081, 113833809, 25910147, 753563, 34659325, 18605940, 47429823, 62138522, 41492799, 17470031, 41062170, 59370111, 14676184, 23830562, 36090254, 10053466, 36344461, 22579370, 10202928, 36444445, 18106206, 1825024, 7184443, 47168326, 95418376, 37867004, 4139590, 9811063, 32415371, 5591249, 6963306, 3631305, 22427269, 22953133, 16729929, 142709332, 139381826, 3894685, 100449399, 7658704, 40053948, 93323456, 127645131, 109407790, 33535188, 2520490, 56944310, 35503121, 26014536, 10030682, 14119070, 30067172, 74241463, 13802806, 179471924, 8221730, 14648640, 16330527, 43571885, 11760451, 11447161, 48164330, 15229800, 137077539, 54025342, 17364265, 17798266, 11128502, 11467010, 73698525, 26179740, 60270550, 20588532, 76258876, 31473887, 39305381, 75048650, 19249411, 10746066, 19618925, 24766906, 37638504, 48897944, 4804257, 4519966, 15301898, 1725669, 55132850, 56988195, 9079603, 58974079, 8024934, 60290863, 140188466, 9904138, 43573138, 110766261, 9350717, 102368604, 18700644, 14713134, 2842731, 18629613, 27591677, 58089574, 43313435, 35164341, 48503409, 8198026, 26827882, 13104997, 13069568, 24842932, 77874438, 5839865, 9219250, 24346444, 11442245, 89641538, 37227739, 85358323, 12213091, 35224291, 1832243, 39011870, 59881781 ], [ 163360718, 97085922, 40672129, 26799884, 25910147, 7829423, 234370620, 130453420, 255714295, 20633826, 59767337, 74243328, 86848865, 13949632, 116145169, 41574475, 75252243, 68476858, 35540374, 138673085, 69861726, 46042705, 37493, 34088334, 25667255, 6968936, 1271261, 46274253, 36979083, 9811063, 47798206, 29057547, 24079257, 76451841, 10782402, 100200947, 89979232, 34814590, 123466888, 36700884, 108687630, 30771711, 80904095, 13344072, 127645131, 37449118, 22487531, 2257890, 79187697, 117902733, 26014536, 10030682, 115826831, 76080428, 98129014, 2284701, 15934128, 51996966, 14648640, 32460033, 4267322, 53608172, 56385605, 26703795, 91134692, 23458859, 90060050, 11729070, 17798266, 8937545, 201462435, 35693120, 26179740, 85588475, 60752039, 29962433, 687837, 31532024, 3261094, 11409806, 160852422, 19618925, 73852445, 12808284, 60151639, 23136344, 47933954, 24270387, 14948307, 7520039, 117188876, 180525279, 26591430, 19222845, 66625498, 6902957, 29218734, 43573138, 27524355, 32328827, 47999152, 22447868, 64410245, 63044006, 18629613, 42813785, 31363216, 101595320, 35164341, 47500651, 43458299, 18668880, 34900327, 6548385, 43036461, 77874438, 1330228, 33398595, 24346444, 11442245, 52779918, 67476139, 4699304, 39724630, 55241413, 895863, 71769766, 39208410 ], [ 42387645, 40294989, 14916627, 1308374, 125013236, 6779738, 11334436, 10728620, 47429823, 16677736, 42493755, 17470031, 156069575, 51991602, 37732563, 125973940, 23356912, 57872480, 51287163, 22323292, 11427811, 1355585, 54507159, 34088334, 21710163, 47168326, 70439458, 11335624, 23013064, 15345522, 81379617, 91449717, 30480996, 30579412, 130064242, 122794647, 34025130, 90589342, 23580742, 64448995, 158735679, 7658704, 251840092, 25683259, 141293504, 18238706, 46963576, 129547060, 123316457, 147982748, 49869830, 86665551, 141616975, 13801833, 74241463, 10654555, 128533179, 844102, 14648640, 37539156, 123106573, 11406487, 96901591, 7969807, 37868488, 17474196, 1076555, 20876282, 24083613, 11128502, 71192782, 104722467, 27307485, 55353440, 7722635, 116247650, 21526573, 23355992, 29846511, 73752409, 76332171, 50698168, 24766906, 45077948, 47993559, 18759653, 127116339, 52184769, 52984891, 115129, 92229190, 48008163, 26998583, 19222845, 60854711, 69827908, 139194714, 1490632, 120942694, 32328827, 165872447, 49423237, 64410245, 2842731, 12179093, 42813785, 43803147, 77310251, 35164341, 121137937, 92533493, 173416353, 1250663, 84111745, 35140652, 44991162, 14187457, 2726960, 36100775, 34160439, 89250886, 17750052, 53536542, 35781802, 4801673, 71154501, 4450784, 88366879 ], [ 36165227, 22529708, 20551867, 26633010, 86909672, 3682891, 50447466, 24077093, 47429823, 127682915, 30421189, 7287072, 6844804, 12407040, 20968951, 16018679, 35635354, 50208565, 14546079, 477735, 29356258, 46042705, 50384553, 34088334, 15072477, 17378758, 16674892, 46274253, 36979083, 9811063, 32318278, 9444588, 29973563, 528225, 9919743, 20001122, 28206469, 16157705, 1806722, 132614146, 112384885, 7658704, 88954935, 6081311, 57221722, 10151165, 46963576, 68767314, 17323077, 18469628, 26014536, 39656652, 34706940, 49755262, 19360243, 13802806, 48212736, 84306054, 35880287, 3273175, 10098227, 26485605, 35548332, 23556993, 73904630, 89133349, 10076911, 20876282, 16242110, 11128502, 27757256, 39351485, 26179740, 12467909, 74987511, 48248688, 142157452, 22756534, 1398380, 26225179, 72730439, 10203834, 3761019, 20985205, 121268183, 23136344, 56803880, 34969278, 35901352, 73828439, 28854300, 7492623, 23401976, 19222845, 9243788, 118169332, 5674697, 43573138, 7530072, 22205311, 6496455, 22447868, 22173503, 2842731, 57791439, 58838564, 4744272, 8653599, 11775402, 49469347, 27387646, 60995197, 46220898, 4491017, 54283146, 77874438, 121220552, 10451778, 24346444, 7574241, 7805551, 7742034, 6464083, 39389127, 97987349, 49757387, 16026912, 17512740 ], [ 174162059, 83553400, 213557621, 443483866, 62500679, 422360321, 129549792, 71961339, 636533698, 30328549, 151853792, 17470031, 581168976, 69439694, 220839074, 127406295, 5588039, 388496646, 233447030, 495113111, 274219147, 176407070, 48133062, 34088334, 406579263, 142658632, 273758191, 266029626, 85673659, 306351535, 182484876, 282814990, 116619762, 363711891, 221215884, 107832548, 128181273, 206894540, 515485447, 194479144, 183119693, 230155709, 502095230, 124972417, 239972320, 181581527, 60722984, 145062040, 169879392, 412914782, 74064810, 118146735, 51243350, 351252301, 98129014, 236644660, 75770217, 108771973, 11163758, 313721527, 71508491, 146962618, 143279909, 76973239, 32988200, 507551135, 195796736, 12512447, 434871847, 11128502, 365873237, 758772589, 13884557, 272079305, 33384915, 672874426, 134600491, 277945953, 271456991, 220942899, 334235957, 19882501, 291650436, 26791723, 48897944, 23136344, 170647244, 143590005, 176887744, 146370220, 152840646, 48008163, 80374169, 19222845, 15727200, 5229812, 47946239, 43573138, 396966234, 39532736, 436371087, 161690323, 64410245, 88710090, 69382357, 60881301, 74355201, 21571738, 35164341, 94194490, 168782422, 197665685, 86457953, 194919342, 54283146, 77874438, 123359600, 40852146, 39902837, 227634995, 270408621, 46066552, 574957531, 78707398, 72498629, 499851953, 183648095, 158189237 ], [ 46096852, 13262061, 9024081, 7150769, 136245013, 7829423, 5481880, 10728620, 47429823, 22783534, 19436251, 45170514, 71615469, 21677042, 140862904, 97040366, 76141940, 43445145, 20245054, 30129492, 99640655, 53814119, 52292132, 50811996, 15072477, 43176167, 17558543, 46274253, 22297431, 9811063, 126499164, 38394479, 1745845, 19490018, 9919743, 19378451, 13928520, 33290175, 23580742, 36700884, 15293167, 9182292, 98787651, 11997696, 39853586, 5564078, 4572319, 104486912, 28791263, 89121664, 26014536, 10030682, 15119195, 5606831, 74241463, 10654555, 45905306, 8221730, 11163758, 6610976, 121414083, 97685580, 43978709, 26346236, 20576790, 8264690, 9903185, 11729070, 851726, 8937545, 1927362, 83820579, 2585693, 12467909, 20588532, 17535400, 26633138, 43168004, 20106410, 26225179, 45404420, 33612121, 24766906, 63972811, 8841244, 23974405, 9650165, 63306276, 176551712, 5362144, 28854300, 7492623, 23401976, 19222845, 21563954, 14346587, 49803073, 43573138, 193139177, 3962925, 14369341, 22447868, 22173503, 31805790, 40828263, 6263399, 1436212, 18528176, 7958284, 45456132, 24390835, 18245555, 34900327, 26996502, 88138403, 30217700, 14187457, 9219250, 5759422, 73451276, 7440492, 67476139, 6464083, 42699913, 24345253, 21819546, 32505446, 54727878 ], [ 63235793, 38167608, 91521943, 63033096, 25910147, 7829423, 143294559, 91667771, 25044537, 67995628, 130059710, 15642840, 9308073, 7058788, 140862904, 101253458, 72978580, 65837897, 7011872, 28941804, 31718887, 112887400, 54507159, 30278519, 21710163, 43176167, 61895664, 8874972, 85673659, 21147669, 100410368, 4547389, 39949637, 97403288, 23168342, 42905933, 20425408, 15739239, 91471712, 194479144, 80767691, 19494935, 47817339, 84396464, 73665582, 5680731, 96064311, 5528881, 102949115, 40251806, 39026854, 4856150, 161036725, 28922729, 47110452, 12085585, 75770217, 8221730, 14648640, 16330527, 2470016, 30767542, 38504136, 23951579, 745699, 101027394, 46724107, 12512447, 17798266, 11128502, 19567076, 6038789, 84376247, 118429636, 20588532, 116247650, 234830334, 107055693, 92882565, 89597858, 45404420, 87127661, 36793278, 99854249, 44399837, 23136344, 143989921, 45723755, 48669013, 25018842, 161485428, 30693298, 8702321, 9044847, 419966, 15511992, 230026114, 4582881, 110766261, 3962925, 10193783, 117754656, 64410245, 15381447, 18629613, 36869337, 116922883, 21571738, 41211593, 49044164, 16988394, 28438216, 1957091, 85561760, 88138403, 6342424, 14187457, 116940943, 79851375, 4193534, 112368064, 22265470, 84417845, 219567099, 24638621, 41984020, 86532592, 24761078 ], [ 27634623, 13262061, 44621595, 54947932, 99500377, 7829423, 50325822, 10728620, 25044537, 124515762, 119367130, 55136879, 21363058, 12188205, 50744850, 8878137, 18518610, 7501208, 51287163, 12230160, 155369916, 183131299, 49257403, 16439853, 8151623, 43176167, 115279148, 9297054, 4139590, 21147669, 194627882, 48525486, 43577028, 19490018, 9919743, 18914570, 140274632, 90589342, 23580742, 12252368, 67980762, 10793427, 49905013, 12612332, 80272367, 142719652, 4320918, 18480267, 187656374, 36789723, 26014536, 86665551, 12789386, 102831813, 74241463, 86751626, 55492492, 57345974, 32937631, 100336660, 313649315, 106565128, 29346361, 74046888, 133278352, 110667030, 131606927, 38589562, 50326426, 11128502, 58691418, 104722467, 16950518, 6787830, 61216899, 9022882, 98991552, 214200684, 6272544, 19249411, 76332171, 46523739, 24766906, 40302090, 155963162, 155361024, 35599350, 7014981, 123851459, 1777531, 28854300, 7492623, 30259855, 19222845, 419966, 5229812, 49803073, 4582881, 150677248, 90741354, 30869059, 24230525, 16192010, 15381447, 34374270, 30180049, 33696261, 185295986, 26093144, 63829230, 17449333, 122466599, 19797476, 70427007, 144199753, 6342424, 134992387, 135279616, 6556908, 38333527, 43942944, 41366575, 6464083, 78707398, 97987349, 18615545, 13486249, 119532830 ], [ 63235793, 97085922, 91521943, 137773642, 136245013, 7829423, 18053618, 55181886, 62347699, 65059950, 47268563, 74243328, 71615469, 59370111, 106319590, 200355234, 28669790, 44778422, 79485469, 29461190, 1549220, 27800342, 10732614, 103612750, 84389921, 2475601, 109170396, 47841020, 22356561, 21147669, 3925518, 385182958, 25166883, 125462607, 9919743, 143602426, 93550397, 12330597, 54976926, 96033270, 83883937, 104297210, 98787651, 124972417, 133202078, 10892048, 25605807, 5528881, 25714548, 85786520, 27794976, 158008325, 146755068, 246422435, 98129014, 43074914, 179471924, 29619744, 80435344, 16330527, 48272422, 48287149, 38504136, 74046888, 161700690, 33010736, 9199391, 20146060, 25329720, 11128502, 210889926, 73698525, 104330210, 78815504, 49218856, 105761949, 54285072, 71500726, 44841138, 63011075, 44849971, 19377587, 161377530, 67433929, 150650394, 59562916, 42282500, 114334744, 43719219, 74272477, 15063757, 1976638, 96827506, 7147071, 419966, 2644712, 9138577, 4582881, 214462897, 30702354, 207472463, 45959361, 54485736, 33373381, 80779588, 227283571, 76233808, 43313435, 35164341, 313605210, 22350346, 47732749, 50403297, 155655949, 8209036, 6342424, 8032366, 9219250, 162226585, 73708428, 109543882, 67476139, 142662399, 78707398, 51437663, 47872726, 30367010, 1406978 ], [ 176211615, 52344162, 67176199, 33921098, 133392220, 7829423, 81223123, 10728620, 133604044, 43540580, 119367130, 34518685, 71615469, 92103812, 207028129, 63370014, 206066800, 61864217, 51287163, 12230160, 29984501, 83754180, 54507159, 92359483, 14533353, 6968936, 109591622, 31043805, 85673659, 21147669, 88277132, 70712698, 15113505, 19490018, 9919743, 180270267, 31600162, 86324315, 23580742, 84901936, 125121146, 27436033, 56599538, 124972417, 31988550, 43955257, 172149563, 88607434, 84387194, 78224680, 26014536, 36602426, 12463154, 109805241, 18496118, 86751626, 55492492, 10967230, 11163758, 33823205, 181328463, 35379752, 10055390, 18645977, 8048078, 123113491, 84599634, 146382436, 65801535, 11128502, 93913472, 104722467, 2585693, 11856924, 56811805, 116247650, 162094443, 120232784, 169109617, 26225179, 77230410, 8458128, 120464122, 21248758, 42126297, 25287032, 18630531, 54388902, 28321779, 1586059, 28854300, 7492623, 53375586, 19222845, 199466645, 5232805, 91501612, 43573138, 270386250, 707239, 174733925, 72616243, 64410245, 210416723, 23382202, 10148911, 82393759, 43313435, 96387823, 32906236, 31533926, 18245555, 18175974, 19945666, 19912328, 77874438, 221657, 4758860, 152865230, 94962878, 35926574, 67476139, 6464083, 63302991, 30813242, 166270172, 39011870, 62721462 ], [ 24568957, 6855765, 67176199, 96597209, 84955008, 7829423, 81223123, 2963064, 58277821, 201254129, 126992149, 74243328, 4691642, 66481109, 37793319, 71255136, 7619152, 88427150, 34562533, 138673085, 29848094, 63913666, 54507159, 20839611, 69198461, 43176167, 30126758, 252460297, 4139590, 21147669, 81138076, 30479417, 26409604, 9102485, 126871329, 100200947, 12814072, 49917506, 123736722, 71854774, 12891339, 86664113, 374018, 45341313, 143039660, 55750092, 28285160, 11190101, 7617318, 31194521, 26014536, 35578335, 51243350, 13392175, 5938717, 1166550, 3093796, 46697041, 11163758, 28286139, 18475382, 48287149, 31105774, 1156897, 758187, 63855500, 21391944, 12512447, 14202942, 11128502, 41290858, 74785491, 66114624, 60270550, 12105143, 82549470, 60974175, 4232416, 69629332, 1081391, 67281933, 60270032, 188824309, 21248758, 32908317, 3173546, 43857363, 134674203, 58627772, 32243917, 89633138, 12464003, 26591430, 19222845, 15727200, 65146730, 67706453, 19486010, 114793140, 82379273, 12257796, 9498304, 1328670, 102544155, 63925694, 4696912, 30097089, 21571738, 47341948, 7602098, 31216632, 76713074, 18175974, 138999143, 88138403, 9524705, 48268857, 35384173, 89260324, 83135938, 22936501, 39880734, 42386113, 4241466, 48606320, 49757387, 54663602, 1734627 ], [ 1260536, 6855765, 1618520, 20564615, 25910147, 44134229, 82241178, 10728620, 11338106, 16478868, 119367130, 58519521, 71615469, 4386071, 44876244, 61074071, 42324415, 44778422, 149911674, 38983859, 9301350, 80782010, 54507159, 34088334, 4836413, 40989572, 7868675, 2566108, 55409964, 21147669, 35959395, 30479417, 37924836, 141864823, 9919743, 107832548, 102069837, 178958065, 23580742, 109689335, 183119693, 74514401, 98787651, 107106667, 13080310, 12349849, 1050417, 145062040, 12682402, 85786520, 26014536, 44367304, 51243350, 109565665, 26888288, 11735842, 75770217, 8221730, 11163758, 79095476, 35213388, 75913829, 31105774, 150857475, 8048078, 9928952, 84599634, 12512447, 128397188, 11128502, 80323696, 3453250, 16511598, 75861216, 33384915, 68831913, 39597739, 31955604, 169109617, 4632482, 45404420, 208980214, 11705304, 62624780, 61016156, 23136344, 8917771, 82443522, 30902147, 73828439, 119485024, 7492623, 19538918, 19222845, 15727200, 5229812, 9904138, 43573138, 34881830, 24178693, 91417745, 72616243, 64410245, 90676815, 11269974, 9475766, 1030147, 21571738, 60066507, 94194490, 22496294, 145528315, 18175974, 2960037, 23536374, 77874438, 14691527, 9219250, 39902837, 89727279, 10094996, 9601057, 17832662, 30294394, 106428568, 4957152, 32361780, 8385885 ], [ 5468845, 37049060, 21464014, 33921098, 125013236, 7829423, 50325822, 2963064, 11338106, 41997364, 111594686, 48061529, 71615469, 174118816, 44876244, 71614902, 18518610, 87918406, 14248063, 21641970, 29848094, 61045019, 54507159, 179414670, 8151623, 43176167, 74057768, 46274253, 85673659, 21147669, 92691441, 48525486, 15113505, 159798023, 9919743, 158620482, 21071992, 90589342, 20010924, 37153598, 85422202, 74514401, 98787651, 119190783, 31988550, 55750092, 46963576, 37527049, 60031440, 31194521, 15383545, 10824101, 12789386, 13392175, 17366602, 150668390, 77858733, 28179810, 11163758, 77008706, 158797920, 66703717, 31105774, 15008321, 8048078, 23458859, 84599634, 313465, 7445093, 11128502, 27757256, 128499382, 16950518, 94510671, 99607073, 94449962, 142157452, 100991314, 10845223, 108979105, 80116042, 176068714, 24766906, 10114633, 127956508, 7244825, 127657585, 7014981, 10640570, 73828439, 91288050, 7492623, 27549926, 19222845, 20286424, 5232805, 175153962, 20082573, 220643623, 81208466, 38645547, 72616243, 64410245, 87522353, 47085121, 36643396, 16100879, 63785001, 35164341, 147695036, 17449333, 152283894, 18175974, 37468453, 157498963, 77874438, 24807458, 135279616, 114234826, 93138857, 98792866, 39880734, 85358323, 78707398, 223595272, 202997420, 183648095, 8385885 ], [ 254937335, 56680051, 91521943, 33921098, 133392220, 32711496, 81223123, 527077, 11338106, 69172837, 97336887, 1616244, 71615469, 174118816, 44876244, 355448185, 463092325, 44778422, 435357267, 38983859, 17088587, 46042705, 54507159, 34088334, 4836413, 43176167, 74057768, 9297054, 4139590, 9811063, 50069238, 48525486, 90978759, 137523319, 9919743, 107832548, 154444328, 202046762, 107292296, 19421974, 85422202, 39668587, 88954935, 52801849, 98332913, 134952567, 172487214, 7309500, 84387194, 223778508, 26014536, 120801518, 51243350, 161330701, 17366602, 13802806, 97676701, 164215030, 11163758, 40742996, 313649315, 156141697, 31105774, 74046888, 8048078, 6446627, 84599634, 116873020, 128397188, 11128502, 18298946, 220884734, 26179740, 6787830, 18474295, 9022882, 194068910, 71500726, 19353368, 7147687, 93647738, 176068714, 113817328, 14250187, 124123486, 23136344, 414631278, 121374434, 1064084, 58231241, 119485024, 7492623, 33788022, 108569573, 58343487, 5229812, 5674697, 43573138, 51562874, 30702354, 25234297, 22447868, 12279330, 57804699, 108598905, 94484605, 52774061, 85693366, 35164341, 94194490, 74236160, 152283894, 18175974, 147019294, 303024978, 26406378, 8386235, 286410, 24346444, 46170920, 32182005, 100076401, 87110961, 78707398, 47566200, 4623602, 54663602, 8385885 ], [ 224415304, 97085922, 91521943, 159190207, 136245013, 66559418, 81223123, 2963064, 11338106, 43296192, 975437, 74243328, 34739738, 174118816, 41138122, 192486098, 28669790, 71970394, 255411690, 28941804, 1549220, 83754180, 54507159, 34088334, 32404941, 6968936, 65547576, 18660679, 85673659, 21147669, 17582130, 30580668, 25166883, 19490018, 9919743, 107832548, 93550397, 9288770, 211017943, 173675193, 188043164, 124550739, 98787651, 124972417, 39853586, 52150253, 16984205, 30898170, 25714548, 85786520, 26014536, 87331021, 45328380, 28863318, 98129014, 86751626, 179471924, 51210683, 11163758, 110025120, 409905804, 145187631, 31105774, 160754148, 80090132, 5954598, 25997831, 59124870, 25329720, 11128502, 77589226, 48151106, 1721996, 12467909, 155837740, 114667303, 242654734, 149762065, 24397799, 195157666, 156138411, 261144741, 40525522, 188798533, 127956508, 23136344, 127657585, 2605334, 1064084, 58231241, 15063757, 7492623, 8028375, 19222845, 419966, 5229812, 5674697, 19208649, 359440209, 108652203, 269178695, 79870237, 31331260, 154119087, 108013928, 10148911, 163810310, 80468152, 271263108, 94194490, 31533926, 18245555, 18175974, 75222315, 8209036, 66124152, 1330228, 213924070, 39902837, 94962878, 161515961, 67476139, 6464083, 143919447, 306721294, 83429861, 183648095, 8385885 ], [ 14107149, 21603521, 32450105, 3255076, 25910147, 7829423, 50325822, 2963064, 11338106, 71013518, 41492799, 36970840, 26224860, 23193265, 27391623, 45231480, 77397723, 8960988, 14482665, 21641970, 29848094, 7191698, 52292132, 27454299, 32404941, 43176167, 17558543, 91212491, 4139590, 10646447, 40106037, 23768020, 15113505, 19490018, 9919743, 15006975, 16958417, 73676270, 23580742, 35959074, 23919356, 74514401, 2411081, 119511733, 11325581, 55750092, 46963576, 5528881, 79187697, 85786520, 6348709, 76403574, 45328380, 21139736, 18496118, 21817399, 13711956, 28179810, 11163758, 45847507, 89533979, 49707186, 31105774, 41395812, 32161721, 23458859, 9199391, 86326285, 5653064, 11128502, 9080953, 6038789, 16950518, 12467909, 21543984, 76258876, 142157452, 25369199, 44841138, 19249411, 67753859, 48006655, 1952855, 62624780, 7835358, 23136344, 119891652, 7014981, 36523646, 63737329, 28854300, 7492623, 8080426, 6493763, 419966, 5229812, 63753642, 8208291, 46884417, 81208466, 72454346, 40558765, 64410245, 28666453, 18629613, 10148911, 34589081, 19964998, 34508847, 48503409, 8198026, 69359533, 18175974, 52920677, 102641063, 70391569, 8386235, 22719245, 18050038, 22717768, 3056365, 10996978, 6464083, 12055132, 216816606, 74076819, 54663602, 8385885 ], [ 18143714, 22529708, 91521943, 74511019, 136245013, 22747053, 23468731, 2963064, 11338106, 204697655, 37081856, 1616244, 84520594, 2692583, 21280646, 41794532, 18518610, 64918122, 162432322, 38983859, 29848094, 66223794, 28222504, 34088334, 8151623, 61787091, 12885085, 3890327, 85673659, 21147669, 67123362, 30580668, 48972463, 86439671, 23168342, 150401062, 24431747, 32938668, 11004972, 53697196, 30520973, 50474282, 145721505, 34108769, 114862012, 12193403, 10785846, 5528881, 31700643, 362282, 26014536, 15202706, 2674843, 19390578, 83058164, 29246001, 42391837, 33243219, 6547564, 27035160, 294334861, 97305873, 11447161, 15008321, 445123026, 5954598, 6272103, 12512447, 50326426, 11128502, 77589226, 131878093, 104330210, 19448804, 33384915, 105090024, 52492171, 51553367, 24397799, 42927747, 9057749, 94416535, 2636027, 26791723, 127956508, 23136344, 32312309, 13156788, 20846534, 3052095, 15228439, 12464003, 96967479, 19222845, 419966, 28353269, 26063013, 19208649, 192694605, 15540499, 25234297, 286106416, 12279330, 28666453, 72897046, 10148911, 14736201, 21571738, 35164341, 29184568, 31533926, 78714924, 18175974, 147019294, 157498963, 77874438, 48268857, 37755794, 146191083, 74645698, 51613150, 37227739, 11328219, 30718796, 349853773, 49757387, 183648095, 499537 ], [ 120029213, 97067234, 53380503, 33921098, 136245013, 98710994, 25919240, 10728620, 47429823, 158708634, 119367130, 74243328, 8799657, 63070458, 140173689, 5449890, 10545885, 87918406, 49599018, 12230160, 97304613, 46042705, 54507159, 34088334, 15072477, 43176167, 44716106, 31043805, 148252446, 21147669, 125661117, 70712698, 25166883, 19490018, 23168342, 122794647, 32894916, 37381945, 23580742, 181113153, 125121146, 39668587, 114412716, 52181735, 7150152, 26467566, 46963576, 98960917, 15074297, 85786520, 26014536, 78724807, 45328380, 211551143, 20318599, 23871470, 62931609, 7865970, 25272896, 15690602, 10098227, 163526627, 93257825, 40661463, 8048078, 20074368, 6272103, 74511679, 94420609, 11128502, 141204749, 56799848, 23002426, 12467909, 7806753, 99667754, 39345490, 7512679, 145075117, 26225179, 76332171, 7202544, 24766906, 138956694, 74040791, 23136344, 18630531, 65859679, 33113321, 74272477, 28854300, 94749771, 53375586, 337348998, 419966, 5232805, 63753642, 10745891, 69098295, 32328827, 141799632, 72616243, 48659214, 105903689, 12240544, 10148911, 67091717, 46447386, 229126479, 189685569, 31533926, 78714924, 34900327, 217816177, 8209036, 77874438, 8032366, 185403133, 25520805, 17994755, 161515961, 7595001, 6464083, 81277898, 124927828, 91777797, 275393697, 158189237 ], [ 201061402, 13262061, 53027462, 117514230, 25910147, 42600000, 25402668, 10728620, 11338106, 43240855, 41492799, 74243328, 71615469, 57725253, 124769759, 112225720, 123300023, 44778422, 14482665, 19111562, 29984501, 99561417, 54507159, 34088334, 79409986, 23604150, 16674892, 2566108, 67213595, 21147669, 32318278, 11282436, 5807442, 67057737, 9919743, 22598478, 118469328, 129635540, 23580742, 26723723, 36108440, 74514401, 58433034, 124972417, 56922905, 5564078, 46963576, 98140387, 80995085, 75118583, 26014536, 649515, 24439858, 211551143, 74241463, 86751626, 163969303, 182765512, 11163758, 108112636, 68185028, 21808568, 33395442, 48164330, 65552140, 102575965, 131606927, 116873020, 63628992, 11128502, 18298946, 94644189, 28836682, 116894138, 16156870, 4841022, 41122030, 71500726, 19353368, 3400982, 74590553, 240350028, 5999447, 14250187, 8841244, 23136344, 192082432, 15301898, 37520657, 73828439, 17324566, 7492623, 35881988, 19222845, 419966, 137664204, 9904138, 43573138, 34881830, 30702354, 207472463, 79870237, 61874757, 75286142, 18629613, 83846073, 77257505, 43313435, 46481145, 149045109, 31533926, 62215388, 34900327, 132767123, 144199753, 77874438, 14187457, 9219250, 162226585, 51565532, 10094996, 67476139, 42882095, 30294394, 283963504, 83112910, 17358287, 8385885 ], [ 63235793, 13262061, 16012656, 135265314, 17571979, 42600000, 147612666, 10728620, 47429823, 65110305, 111594686, 74243328, 8799657, 59370111, 53878975, 63288043, 28669790, 10648837, 59769800, 138673085, 36346274, 66083341, 7097485, 16439853, 15072477, 43176167, 13003503, 69117646, 85673659, 21147669, 121139006, 80293934, 30792772, 179025538, 9919743, 18914570, 140274632, 142357519, 23580742, 26723723, 36108440, 74514401, 69677418, 45341313, 85409986, 72093546, 16984205, 118841025, 28791263, 25138037, 26014536, 76403574, 51243350, 28863318, 74241463, 154448074, 97929130, 7865970, 11163758, 16330527, 48272422, 48287149, 38504136, 48164330, 110599999, 34035772, 6272103, 313465, 65142907, 11128502, 18298946, 48151106, 129111987, 13370182, 18865190, 24883461, 142157452, 84995047, 24397799, 26225179, 76332171, 28337777, 24766906, 14250187, 97975902, 7244825, 343973046, 63149308, 55897584, 73828439, 15063757, 7492623, 61543410, 19222845, 419966, 65146730, 63753642, 6823891, 313766547, 19109869, 31953348, 23230623, 27030575, 105903689, 12463197, 115582686, 16100879, 6373325, 11261624, 190974156, 49678368, 36304126, 62702179, 132767123, 88138403, 37495361, 14187457, 5217714, 5548202, 90507478, 81856891, 160947918, 103093004, 75288835, 157921455, 4746681, 104040177, 82023210 ], [ 178684263, 97307353, 91521943, 165942360, 136245013, 7829423, 156592429, 130453420, 47429823, 60269674, 21321289, 59634199, 61308600, 241630593, 50053741, 215075661, 49945512, 1320109, 102002649, 4278414, 48020992, 122637343, 54507159, 34088334, 31517016, 47168326, 141286325, 46274253, 36979083, 9811063, 90105736, 8488249, 127366435, 104859989, 9919743, 225807495, 85660278, 194358147, 101170387, 65219139, 70198789, 62369042, 12054068, 124972417, 239972320, 37449118, 6524224, 92238215, 66183954, 144594943, 26014536, 36602426, 35437198, 67955405, 17366602, 13802806, 19594764, 157009450, 14648640, 53835269, 43571885, 35760273, 42297499, 48164330, 28719645, 87287692, 107754139, 20876282, 16242110, 11128502, 87659944, 42665823, 14400624, 92774735, 20588532, 116247650, 142157452, 71500726, 76316761, 53679315, 73122758, 199178928, 24766906, 94537351, 71345950, 23136344, 217765674, 143590005, 112453422, 86449858, 198249308, 7492623, 27308696, 19222845, 50582488, 89320218, 9904138, 43573138, 272014843, 30702354, 56615439, 22447868, 64410245, 132992065, 83503572, 75723445, 77177965, 43313435, 35164341, 271096793, 106815584, 26827882, 1250663, 110918379, 24842932, 77874438, 14187457, 4263372, 24346444, 94962878, 104997371, 50404181, 85358323, 78707398, 349853773, 128849213, 83041779, 16429644 ], [ 121536757, 97085922, 27156500, 43872504, 136245013, 13976947, 1118356, 83687780, 47429823, 136930384, 111594686, 59634199, 4691642, 25708368, 57273016, 281622410, 18518610, 4769597, 29159332, 131129715, 48020992, 66083341, 25690881, 34088334, 8151623, 47168326, 53767925, 31043805, 85673659, 18419991, 33422527, 16273457, 13784895, 155264694, 59935760, 137147309, 128075402, 1784651, 86884185, 64448995, 48671818, 9182292, 114412716, 124972417, 10519182, 18939602, 10632330, 97257504, 68677309, 25138037, 26014536, 36602426, 8988401, 7303748, 5206059, 120396607, 16762983, 57345974, 342898, 82513676, 4677246, 142164216, 14724011, 118773142, 110599999, 23458859, 124972005, 50604936, 16242110, 11128502, 87659944, 41023361, 87005752, 237485745, 60458180, 127876795, 112138065, 23355992, 24397799, 11209908, 66369083, 52428619, 24766906, 21613019, 126310621, 23136344, 69831799, 24085474, 21518661, 73828439, 114745299, 43141402, 28739419, 19222845, 153826788, 5232805, 1851798, 43573138, 198410472, 33298379, 25234297, 13573695, 64410245, 65451011, 63925694, 94160696, 44743014, 31178686, 34221970, 17299405, 106815584, 93806889, 34900327, 13941852, 61177088, 162911, 9457991, 10451778, 162226585, 7574241, 9846055, 67476139, 66425215, 12797032, 306721294, 29306247, 39011870, 120635486 ], [ 82816544, 12894024, 27156500, 125408234, 56975895, 32711496, 81223123, 10728620, 47429823, 16677736, 47235464, 15401562, 114090823, 154045893, 57273016, 1552204, 10545885, 136648506, 9223587, 6868206, 29984501, 66223794, 52292132, 91592187, 15072477, 40989572, 17558543, 31043805, 85673659, 18419991, 111325205, 25499364, 127366435, 19490018, 14422102, 180270267, 30350125, 194358147, 4439019, 36700884, 155290565, 9182292, 22970055, 102431464, 133202078, 134952567, 6524224, 51026565, 79187697, 15061888, 26014536, 63021486, 51243350, 21139736, 74241463, 11735842, 43799205, 10537101, 11163758, 13928676, 64124675, 75547099, 33395442, 34955791, 161047259, 23458859, 63892039, 116873020, 16242110, 11128502, 68291599, 3453250, 93281335, 12467909, 137897006, 51136416, 86724576, 31134821, 16507881, 11209908, 66369083, 5985245, 24766906, 40302090, 42126297, 14097842, 105022689, 65261005, 74453127, 72853556, 28854300, 27381846, 53375586, 19222845, 88927396, 62454713, 137587005, 10745891, 67359497, 81208466, 25234297, 13573695, 64410245, 112236543, 83503572, 1543963, 27529258, 13452057, 35164341, 10655704, 113139937, 79730485, 19566567, 65255781, 23536374, 22727121, 20978695, 135279616, 6890, 64402046, 10050576, 9601057, 6464083, 12797032, 35289127, 45568316, 39011870, 16429644 ], [ 73278332, 83328899, 91521943, 66718259, 135410772, 38081745, 108092179, 95887143, 235579696, 14650532, 131467108, 28429720, 24388200, 164892495, 124769759, 128436277, 77153348, 148363555, 29159332, 138673085, 274219147, 19866882, 40985255, 104388122, 9632148, 180284399, 8292921, 9907849, 85673659, 21147669, 216228118, 14104276, 130629805, 123689752, 9919743, 107832548, 239151845, 21224022, 240537181, 37153598, 110115520, 10259202, 56082006, 124972417, 39853586, 37449118, 6524224, 78751977, 448011999, 8686019, 26014536, 87331021, 33490885, 31737319, 98129014, 88703448, 19594764, 49122919, 177356704, 37539156, 142617289, 163526627, 166247101, 80842483, 370590823, 97534541, 40681939, 18040213, 148284062, 11128502, 207449253, 42665823, 2585693, 183117878, 95622834, 29962433, 359240464, 28740482, 151863899, 157378008, 29059427, 5985245, 141172506, 94537351, 71345950, 232884409, 134580896, 43392546, 202057216, 73828439, 1357031, 7492623, 196627590, 19222845, 166471563, 5229812, 45218062, 43573138, 138926735, 23493035, 56615439, 79870237, 64410245, 42464866, 36604720, 108006668, 102658799, 246137177, 35164341, 63829230, 26595740, 18245555, 108892514, 75222315, 19606445, 77874438, 82300461, 4263372, 39902837, 7574241, 43942944, 67476139, 342461005, 78707398, 62547840, 142619239, 83041779, 82023210 ], [ 109980464, 22529708, 91521943, 38890499, 25910147, 143297716, 123781816, 130453420, 47429823, 71013518, 103938747, 55136879, 71615469, 59370111, 180966442, 145060532, 76090614, 342717565, 188559672, 105735420, 69861726, 298996179, 48133062, 236712521, 17154027, 47168326, 182666263, 53630397, 36979083, 9811063, 216228118, 8488249, 168067667, 84343562, 9919743, 22598478, 15948992, 90589342, 110155120, 74679755, 70198789, 153799468, 49905013, 53321096, 141293504, 181581527, 28175753, 159106323, 158319559, 243276929, 79537661, 87331021, 376727136, 128500669, 74241463, 1188044, 152088537, 71019915, 14648640, 16330527, 2470016, 35760273, 228550736, 47980771, 745699, 119979850, 62135066, 55784162, 13933753, 11128502, 415249929, 73698525, 26179740, 192485822, 159638628, 99069269, 142157452, 191823628, 95255415, 21767430, 49042019, 156045941, 24766906, 1344540, 132605470, 23974405, 143989921, 102574646, 35901352, 73828439, 90395189, 7492623, 27308696, 19222845, 45060970, 78948112, 44055985, 43573138, 110766261, 45332682, 94151193, 22447868, 64410245, 114835017, 18629613, 18866415, 4036929, 239216331, 35164341, 299632323, 49649578, 152283894, 1250663, 259420844, 101194654, 77874438, 14187457, 135279616, 24346444, 51565532, 10094996, 91121786, 10839648, 70025336, 53805147, 41984020, 86532592, 69671491 ], [ 46096852, 97085922, 21173329, 74511019, 136245013, 7829423, 6988202, 137301299, 107707989, 255911970, 151853792, 13158355, 4691642, 231658885, 86118990, 18429975, 18518610, 160860378, 12913358, 56392526, 27516842, 235310367, 54507159, 34088334, 8151623, 34328061, 69699452, 75995835, 4139590, 21147669, 24016066, 48525486, 127366435, 263825580, 9919743, 113165487, 79417112, 23711522, 19176062, 109689335, 64857378, 127431486, 98787651, 124972417, 1351015, 181581527, 130233285, 100487077, 102738802, 86787225, 55812018, 15385933, 12789386, 21139736, 98129014, 28456575, 58323150, 20778782, 14648640, 84715003, 158797920, 42231660, 104829174, 48164330, 16449339, 23458859, 89288310, 202154641, 10875213, 11128502, 22704879, 126428804, 16268261, 60270550, 29459730, 64300191, 14648127, 4232416, 77623120, 19249411, 118127614, 266949625, 14834384, 131463658, 32908317, 23136344, 21549289, 2989806, 223189329, 61401417, 142029523, 7492623, 201556034, 169555828, 131320178, 150740883, 113461032, 43573138, 272014843, 81208466, 29280980, 22166719, 64410245, 108164965, 72897046, 205816891, 30097089, 43313435, 35164341, 76318793, 25024181, 113824375, 108892514, 146147838, 185327122, 12788432, 2302295, 9219250, 162226585, 83135938, 65847265, 50667015, 88662798, 4241466, 41211897, 43081569, 54663602, 42051228 ], [ 135304059, 97085922, 21173329, 74511019, 136245013, 7829423, 76975234, 83687780, 30982979, 322520709, 71740727, 6234330, 71615469, 53989586, 118387747, 53446104, 18518610, 34456211, 67636306, 30087388, 57071156, 46042705, 54507159, 34088334, 8151623, 15344011, 9428168, 18140653, 65657886, 21147669, 33422527, 9752379, 127366435, 155264694, 9919743, 46950021, 85660278, 12448949, 80845195, 57103513, 35609623, 13424672, 98787651, 6081311, 25504344, 171767397, 104014806, 14432925, 34621639, 21462867, 46464767, 15385933, 12789386, 165173119, 22373149, 162848300, 45905306, 28831699, 14648640, 115744091, 4677246, 10174632, 14724011, 48164330, 70395739, 9567324, 131606927, 485524256, 50326426, 11128502, 22792181, 54768859, 16268261, 102924736, 20588532, 116247650, 353487966, 31532024, 20636958, 124357175, 5989126, 52428619, 14834384, 22416555, 128009434, 23136344, 69831799, 143590005, 52984891, 25966059, 106997439, 7492623, 28739419, 23165546, 77535331, 70606203, 287433178, 24276669, 86882767, 32328827, 53674721, 22166719, 64410245, 144257725, 101334129, 83317651, 30097089, 31178686, 35164341, 13010805, 31533926, 28372938, 96946021, 106486078, 240354627, 12788432, 14187457, 9219250, 162226585, 89356042, 87973016, 67476139, 123560456, 78707398, 124456633, 115487619, 63709034, 52564324 ], [ 1420552, 12894024, 20551867, 74511019, 33277103, 7829423, 81223123, 112408125, 33341590, 46592398, 33741451, 60970584, 89693520, 43984272, 1029467, 21736456, 18518610, 148363555, 36161704, 95891828, 29984501, 70120030, 54507159, 360543286, 8151623, 3571107, 9823384, 46274253, 4139590, 11681448, 92938946, 8067203, 130629805, 10967976, 115666890, 15893949, 85660278, 49181866, 3926926, 96711977, 13538040, 67264045, 4528959, 17925071, 77881388, 181581527, 29968857, 117710656, 23078767, 82772653, 2550892, 314259, 12789386, 16235886, 18316860, 34775875, 41396772, 6044690, 2545745, 1822908, 224814213, 35760273, 33395442, 48164330, 28367226, 118351178, 69275328, 3498867, 18432894, 11128502, 47738403, 93778652, 69727568, 60270550, 20588532, 68337312, 33333343, 36564773, 95255415, 1081391, 186358717, 32038528, 76929319, 118521704, 126896667, 23974405, 71541590, 134674203, 69036259, 24442337, 119485024, 20738022, 3841570, 19222845, 15727200, 5232805, 49803073, 15323433, 8006431, 108413303, 57557033, 9498304, 30257426, 121385717, 15764581, 4696912, 102658799, 16737181, 27649900, 63829230, 31216632, 87401284, 19988451, 149933415, 106401468, 71561743, 14187457, 4956964, 96056163, 7393291, 43942944, 56098058, 85358323, 12931856, 149975785, 34901037, 15176598, 20795764 ], [ 121536757, 97085922, 91521943, 26799884, 114473320, 12160093, 81223123, 71961339, 89195053, 124515762, 70880049, 39312800, 130038001, 50091355, 57273016, 78134979, 67553957, 139863810, 27082, 120893494, 8048060, 193898925, 15394990, 34088334, 20932634, 169774264, 1774776, 277550795, 85673659, 21147669, 162460658, 16273457, 108507156, 19490018, 24043616, 26992503, 110390026, 6584236, 19176062, 61987849, 107226695, 15388715, 56082006, 21496166, 196409804, 5564078, 63160080, 27214172, 116732237, 40118035, 26014536, 87331021, 51243350, 28863318, 95105938, 19020446, 16762983, 6045037, 11163758, 142015545, 34023269, 46481541, 5878601, 7969807, 133278352, 185257282, 9199391, 11729070, 94420609, 8937545, 18298946, 61897468, 16511598, 12467909, 33384915, 120979174, 48982349, 24505773, 19353368, 23467308, 38204917, 33612121, 129136030, 14250187, 8841244, 23136344, 27109615, 143590005, 58445660, 5611998, 28854300, 263299421, 119276014, 19222845, 15727200, 5229812, 43809631, 43573138, 8006431, 33298379, 156622523, 79870237, 27030575, 147467453, 108598905, 60881301, 77257505, 21571738, 35164341, 14671956, 25024181, 251403537, 151923815, 140537914, 303024978, 37966319, 9457991, 2726960, 39902837, 227634995, 32182005, 67476139, 6464083, 78707398, 12114064, 22933236, 39011870, 79081622 ], [ 50473785, 83328899, 91521943, 70998739, 25910147, 7829423, 81223123, 74329318, 11568794, 53988238, 151853792, 74243328, 130038001, 179793472, 84375885, 4605955, 123300023, 143954271, 185549291, 102087662, 29984501, 20933782, 54507159, 34088334, 1830157, 3680525, 177089631, 8874972, 4139590, 9811063, 136375352, 125103410, 51283823, 86439671, 6697216, 107832548, 84016210, 206894540, 562100, 124961939, 101626878, 30692901, 2746479, 124972417, 140293622, 96005939, 19848542, 134372651, 102949115, 86787225, 26014536, 120801518, 7060369, 118679761, 47110452, 13802806, 39341677, 182765512, 11163758, 62180514, 28279774, 42627051, 3006913, 48164330, 29568306, 23458859, 131606927, 10287193, 10875213, 11128502, 84929942, 3453250, 26179740, 60270550, 33384915, 45985737, 73825580, 40748959, 95255415, 19249411, 242055517, 176068714, 129136030, 39497832, 179762713, 23136344, 35835147, 143590005, 36523646, 5780008, 119485024, 125074833, 79013565, 19222845, 15727200, 5229812, 5674697, 43184542, 110766261, 81208466, 269178695, 22447868, 56859134, 132992065, 7260278, 10148911, 14934828, 21571738, 14895092, 46872430, 119524402, 344513851, 172739939, 57620478, 23536374, 77874438, 6292514, 2726960, 9198496, 22717768, 10094996, 9601057, 15840429, 78707398, 121786613, 38869357, 54663602, 82023210 ], [ 55107265, 73957937, 91521943, 74511019, 9926922, 7829423, 111379013, 24077093, 11338106, 114197075, 2315123, 74243328, 8799657, 13472818, 1886773, 59109375, 18518610, 136648506, 44708668, 97460704, 8048060, 36769379, 15739206, 34088334, 2443526, 46559750, 16674892, 149129037, 28364289, 9811063, 7522069, 16273457, 14189264, 28186775, 14656776, 66945088, 154444328, 89144543, 26120274, 61987849, 85422202, 39668587, 30105930, 58397924, 1351015, 18939602, 4859983, 4061196, 120800527, 40118035, 26014536, 1668545, 12789386, 26407362, 17366602, 10654555, 16762983, 6120371, 11163758, 108112636, 117524067, 73816208, 3006913, 129141680, 30342613, 6446627, 83115139, 59124870, 21364041, 11128502, 18298946, 35655366, 2585693, 49039324, 179447013, 15259593, 49498784, 22464142, 86746536, 17119262, 38633454, 175339396, 50355308, 14250187, 94149337, 23136344, 155554744, 14259933, 32125681, 1729183, 164959457, 73522674, 80853519, 19222845, 20286424, 5229812, 153710891, 20716534, 31684141, 9487953, 265012392, 18668538, 52840328, 132992065, 7260278, 24210229, 19010026, 55492560, 9501087, 14671956, 31533926, 18245555, 93898343, 9454518, 11482511, 77874438, 9457991, 8231214, 24346444, 176343717, 35926574, 13611646, 35652117, 78707398, 20020587, 22005357, 13252763, 8385885 ], [ 69425260, 97085922, 68135215, 311917730, 136245013, 7829423, 81223123, 18940192, 79270952, 178750797, 37497957, 60970584, 13688128, 13472818, 36634874, 27649611, 28021384, 69607594, 29159332, 57593823, 29984501, 204617165, 54507159, 30278519, 71670348, 38944855, 47051623, 2566108, 4139590, 9811063, 121337832, 41544785, 130629805, 77736707, 9919743, 49659194, 85660278, 13208849, 562100, 109689335, 11142073, 10259202, 93498736, 124972417, 1351015, 181581527, 22487531, 53068563, 22709165, 25064732, 26014536, 87331021, 211481240, 103495849, 13416441, 13802806, 46567795, 6044690, 5200492, 115744091, 26453247, 30767542, 33395442, 48164330, 28367226, 137077539, 46596552, 11729070, 100041228, 8937545, 140177897, 93778652, 26179740, 60270550, 20588532, 69681164, 148457036, 399964246, 86746536, 19249411, 29059427, 33612121, 149031120, 89543189, 252025049, 23136344, 192082432, 15952339, 36523646, 45315856, 69306795, 7492623, 61543410, 15148564, 78255070, 125254501, 49803073, 43573138, 205379607, 11632480, 207472463, 22447868, 64410245, 132992065, 7562204, 6263399, 30097089, 43313435, 41211593, 19089394, 31533926, 152283894, 1957091, 85561760, 8438487, 12788432, 14187457, 8231214, 24346444, 7574241, 43942944, 3029782, 18282199, 141025101, 136127023, 50650993, 13252763, 53692391 ], [ 63235793, 22529708, 80486032, 22700031, 25910147, 7829423, 63043790, 87779152, 242490528, 22783534, 14212769, 11464845, 71615469, 31459060, 158009410, 114712881, 76141940, 148363555, 46158797, 60783830, 17088587, 46042705, 54507159, 34088334, 4836413, 43176167, 1774776, 82582567, 36979083, 9811063, 50069238, 94730687, 128430998, 297021816, 9919743, 29797004, 85660278, 20795300, 52462979, 159895372, 24397237, 32149489, 88209543, 89616266, 7150152, 10151165, 63160080, 72087043, 249630561, 60223950, 26014536, 86665551, 48107050, 34805934, 98129014, 13802806, 71248958, 157547420, 38478205, 37539156, 34023269, 29833093, 33395442, 57637129, 92444769, 8767110, 25813935, 8461208, 9998005, 11128502, 81048222, 166078129, 26179740, 118429636, 20588532, 49951593, 155820961, 109334602, 29433047, 91302664, 38204917, 10632238, 76929319, 128082252, 20163611, 23136344, 138934269, 110682203, 37829384, 73828439, 124823207, 7492623, 2360987, 19222845, 10184638, 23009163, 2837940, 16829863, 110766261, 20175280, 111558901, 22447868, 22173503, 28666453, 12463197, 60881301, 47583747, 19900907, 19345093, 26274145, 8198026, 10896576, 1250663, 225287492, 27117458, 77874438, 117985507, 44706254, 24346444, 11520981, 7805551, 2485405, 49873395, 67371950, 136127023, 4623602, 32505446, 24776891 ], [ 221976103, 177632372, 107601258, 188306336, 133354017, 19122126, 101397011, 130453420, 47429823, 85692249, 102516458, 28429720, 24388200, 179793472, 28891552, 18429975, 55022756, 42060204, 19948909, 6377868, 155403820, 391449519, 52292132, 50796118, 71670348, 47168326, 16674892, 149980366, 4139590, 9811063, 17258690, 247786119, 168067667, 9709645, 9919743, 107832548, 42720738, 86465458, 562100, 12252368, 158735679, 13424672, 84011763, 124972417, 173583422, 181581527, 46963576, 204926856, 34621639, 223778508, 26014536, 87331021, 176589462, 66224692, 2219404, 13802806, 85722391, 6045037, 14648640, 108112636, 17639151, 96510512, 257235621, 7969807, 47462977, 125194694, 40681939, 76649693, 108048810, 11128502, 56276373, 115550342, 26179740, 30813733, 20588532, 37528572, 129678338, 14203722, 52479638, 19249411, 124233633, 26621193, 24766906, 20985205, 94396060, 23974405, 101819630, 131082185, 160759128, 45315856, 1357031, 7492623, 191273026, 23165546, 53975663, 5229812, 93159790, 43573138, 38725004, 280012264, 15912158, 22447868, 64410245, 59819784, 76268170, 6136708, 46887196, 240046939, 35164341, 14469346, 26595740, 152283894, 108328295, 194919342, 240354627, 77874438, 14187457, 92925563, 24346444, 44322097, 263551128, 67476139, 304181618, 46661621, 136127023, 187355262, 54663602, 152199936 ], [ 88543092, 97085922, 54054364, 69484094, 78218248, 99094700, 47222934, 15457305, 47429823, 70902293, 42493755, 74243328, 36188612, 46460022, 228818974, 231692890, 109549644, 69607594, 54554525, 28941804, 48757041, 118009155, 54507159, 325421986, 323658994, 47168326, 10138301, 1490013, 4139590, 346374733, 92691441, 28857644, 115126403, 29889130, 9919743, 143862951, 118469328, 177826395, 23174927, 20711348, 48699406, 154929301, 98787651, 20392260, 89109842, 181581527, 46963576, 22918316, 247830647, 12999228, 2550892, 13260044, 222625262, 66224692, 19785893, 117750851, 179471924, 8221730, 164450178, 22211458, 115403208, 51804664, 146607801, 23951579, 52931161, 15377231, 37979439, 59124870, 51700526, 11128502, 125957215, 50031491, 16511598, 60270550, 286420121, 239168298, 60974175, 137166049, 80381280, 19249411, 43726953, 121170884, 24766906, 140116245, 235179096, 57343845, 89624328, 14259933, 86901223, 73828439, 130025256, 7492623, 26591430, 19222845, 20286424, 44916132, 113461032, 43573138, 199378809, 280012264, 42362674, 25136471, 18758854, 106980532, 165357810, 36643396, 146658199, 26437147, 35164341, 46780302, 131121480, 76713074, 22799841, 55059277, 67308819, 77874438, 2240069, 119569578, 65373577, 26427405, 17891998, 13611646, 152450658, 16510963, 106428568, 22975872, 54663602, 70664553 ], [ 24175356, 25627318, 91521943, 27782981, 33277103, 48019938, 81223123, 20232614, 28016938, 111941412, 42522121, 74243328, 18782554, 71347898, 76088219, 18429975, 18518610, 9309138, 5312691, 123495781, 1549220, 46042705, 46797033, 34088334, 8151623, 7844174, 9428168, 8874972, 4139590, 21147669, 36342808, 16273457, 103378009, 44798675, 9919743, 100200947, 1632381, 56882824, 80845195, 180135, 29972900, 19994467, 62744745, 23136720, 45483235, 8738751, 1085678, 5528881, 74431455, 40118035, 26014536, 25147765, 12789386, 11865493, 47110452, 11735842, 16762983, 8321069, 11163758, 21454845, 35055757, 97305873, 33395442, 36769191, 8952830, 23458859, 114914010, 59124870, 10875213, 8847487, 47738403, 3453250, 54893598, 43232260, 177618837, 530850, 234830334, 92990750, 5564859, 19249411, 5989126, 10158467, 113817328, 59730645, 12184028, 23136344, 117120072, 14259933, 20337306, 38088768, 41389283, 7492623, 8702321, 19222845, 20286424, 5229812, 26063013, 15323433, 142714957, 5967108, 1982223, 19536936, 52367940, 28666453, 10664629, 42055225, 18693703, 43313435, 20953012, 90203399, 54401950, 28372938, 108892514, 10652167, 22984477, 37966319, 9457991, 9219250, 39902837, 18949415, 80066502, 9601057, 37426293, 16510963, 89520376, 83112910, 54663602, 82023210 ], [ 158101075, 90161977, 46606062, 283889319, 25910147, 7829423, 81223123, 237504888, 11338106, 176726132, 107334454, 74243328, 71615469, 172501389, 152882462, 36867543, 378115762, 44778422, 212393974, 25950994, 29984501, 221862552, 54507159, 34088334, 76044419, 6727137, 16674892, 97849959, 31058967, 147522623, 32318278, 202654045, 40148963, 222901832, 9919743, 57662041, 118469328, 139459833, 382964463, 194479144, 56845272, 192306930, 98787651, 30558834, 107771326, 57317810, 170764325, 145062040, 96196707, 108817684, 26014536, 132918258, 51243350, 675205650, 34079524, 34775875, 24442330, 176470611, 11163758, 108112636, 344818723, 73816208, 33395442, 55764009, 141584375, 86415845, 250390188, 121142618, 158975681, 11128502, 47738403, 53702503, 16511598, 6740528, 63478386, 109085950, 74819836, 6196132, 26679701, 79559230, 311024781, 18984109, 11914058, 20985205, 371790041, 23136344, 101819630, 111136771, 133894102, 178155958, 34764583, 7492623, 61543410, 338810044, 62289908, 5229812, 9904138, 43573138, 38725004, 30702354, 13217, 218835269, 64410245, 193044310, 18629613, 155776138, 84735281, 40290955, 35164341, 94194490, 143082263, 152283894, 108892514, 94364001, 377227474, 40457437, 123359600, 143690568, 39902837, 44322097, 35926574, 164177590, 87110961, 46661621, 17447283, 131167202, 54866235, 8385885 ], [ 121536757, 49061805, 10590528, 22700031, 26425275, 38081745, 5481880, 54847880, 44095248, 101863845, 11836062, 24488844, 29005768, 139188545, 24390593, 42286843, 35635354, 143954271, 37678288, 53816081, 29984501, 46042705, 45201766, 34088334, 81803294, 43176167, 4628454, 15707594, 4139590, 21147669, 3901026, 2201503, 40148963, 91141172, 9919743, 22945594, 76775470, 123969568, 7090472, 49588790, 11142073, 39668587, 22970055, 56096251, 39853586, 18939602, 81676722, 72087043, 74431455, 40118035, 26014536, 33810309, 13674464, 31768625, 5206059, 33773936, 16762983, 126129628, 11163758, 16908544, 185289642, 73816208, 33395442, 74046888, 139294386, 9567324, 95722107, 87708302, 16242110, 11128502, 61894725, 134418637, 2585693, 6787830, 93009749, 116882206, 8953505, 22464142, 23137451, 19249411, 81887076, 13582577, 11914058, 20985205, 42126297, 23136344, 62842898, 143590005, 32125681, 86449858, 41389283, 7492623, 8702321, 19222845, 64461414, 23009163, 5674697, 15323433, 4455127, 32328827, 61104428, 13693898, 64410245, 245073165, 41497429, 150049881, 102658799, 46447386, 24032403, 63829230, 31533926, 18245555, 61947238, 14938592, 74031731, 162911, 9457991, 26673546, 4246504, 22717768, 20964154, 67476139, 35652117, 46661621, 80028217, 45892593, 51346913, 27466041 ], [ 40946286, 97085922, 12237279, 22700031, 136245013, 7829423, 107883131, 278551602, 212813808, 4130385, 42493755, 58519521, 36188612, 31459060, 351613332, 105822610, 148249129, 44778422, 172683996, 60783830, 69861726, 142843678, 54507159, 17249292, 54709989, 43176167, 10138301, 321638199, 225798482, 273005839, 36342808, 230788694, 130629805, 97403288, 64202613, 60056805, 84016210, 16577139, 52462979, 65833975, 24397237, 211221012, 114412716, 241629758, 251577404, 181581527, 113220501, 72087043, 162905954, 319396435, 26014536, 90688406, 51243350, 232049300, 124563147, 177120373, 71248958, 196229512, 11163758, 221127417, 64474081, 163526627, 166247101, 48164330, 25872681, 113160723, 37979439, 33650628, 36603489, 16518800, 140177897, 6038789, 123070472, 118429636, 20588532, 73953910, 66318927, 4232416, 5965014, 1081391, 81887076, 10158467, 78972889, 35163687, 371790041, 23974405, 35835147, 129243052, 69036259, 164468550, 192070201, 304424493, 397435943, 231767230, 153363585, 5229812, 9904138, 43573138, 272014843, 30702354, 458518823, 9498304, 48659214, 293679750, 265958825, 4696912, 99340684, 58570577, 35164341, 94194490, 31216632, 83635721, 34900327, 194919342, 240354627, 1662263, 14187457, 116940943, 39902837, 14840353, 103526719, 76350134, 84417845, 78707398, 57798446, 440464021, 9794231, 24776891 ], [ 73278332, 97085922, 9024081, 26416793, 26181084, 19122126, 119080967, 24077093, 11338106, 114197075, 10083401, 74243328, 71615469, 13472818, 158009410, 4586142, 18518610, 73186475, 51287163, 4509799, 69861726, 143371253, 54507159, 64331214, 8151623, 47168326, 16102179, 46274253, 36979083, 9811063, 145809542, 7686595, 92420806, 19490018, 9919743, 47700372, 62716054, 50672366, 123736722, 64448995, 94825188, 32149489, 68605468, 41882169, 20220556, 156088813, 3890878, 3364048, 49456256, 112066492, 77732649, 86665551, 12789386, 34805934, 74241463, 13802806, 179471924, 6045037, 14648640, 99788052, 190196331, 14572170, 3006913, 7969807, 23442853, 23458859, 2235822, 20876282, 15266253, 11128502, 57604465, 89671392, 2585693, 12467909, 196138222, 49951593, 94711742, 92990750, 52479638, 67650956, 34174321, 10632238, 24766906, 35163687, 82175132, 23974405, 62842898, 110682203, 19474049, 73828439, 4566311, 7492623, 8702321, 19222845, 26139271, 28353269, 61812224, 15323433, 120942694, 6497371, 111558901, 22447868, 64410245, 33373381, 7260278, 33464497, 160122026, 61759250, 35164341, 29184568, 49793696, 10896576, 16685798, 7309789, 7083149, 71561743, 14187457, 8231214, 24346444, 3923120, 16330325, 10996978, 6464083, 78707398, 78854301, 50650993, 30227837, 8385885 ], [ 63692415, 19695629, 9024081, 53684186, 33277103, 58983179, 81223123, 10728620, 11338106, 4130385, 2144530, 29950049, 71615469, 61896739, 49382248, 61328509, 10545885, 46612974, 51287163, 46495831, 29984501, 59681708, 54507159, 34088334, 15072477, 3571107, 70439458, 12446119, 16651970, 21147669, 182484876, 48525486, 7871057, 17660059, 9919743, 41163899, 84016210, 6584236, 562100, 64448995, 85422202, 21288678, 98787651, 93323456, 24402478, 149216992, 45355243, 97257504, 158171974, 108816864, 26014536, 87331021, 45328380, 67955405, 17366602, 19020446, 24442330, 8221730, 143807330, 36054688, 43117440, 163526627, 3006913, 6921616, 48757972, 113160723, 20160336, 59124870, 15266253, 11128502, 57604465, 26699803, 2585693, 8294571, 88323546, 45985737, 27684402, 9226336, 108862183, 26225179, 1842598, 70360465, 24766906, 45077948, 64355996, 23136344, 35835147, 41421036, 19474049, 42977576, 14616006, 7492623, 8702321, 19222845, 97838497, 5229812, 33051153, 15323433, 90706319, 6497371, 24297952, 120880092, 26338059, 61637155, 7260278, 10148911, 133355014, 61759250, 35164341, 46872430, 53651415, 18245555, 61107429, 75222315, 7083149, 40457437, 3124469, 57812304, 39902837, 20672213, 53923074, 36431657, 4000571, 78707398, 146085203, 186745014, 39011870, 8385885 ], [ 14107149, 25627318, 91521943, 22700031, 136245013, 19122126, 86351351, 10728620, 47429823, 29850607, 24054309, 74243328, 86848865, 43984272, 124769759, 18429975, 16975223, 143954271, 16111413, 60783830, 69861726, 17955149, 54507159, 35448400, 8151623, 1124982, 70439458, 31043805, 16651970, 21147669, 50963225, 49798123, 33744510, 19490018, 14959481, 41163899, 110448611, 111646838, 16569881, 64448995, 19096358, 27522825, 84011763, 53333722, 39598691, 10151165, 46963576, 31629970, 84387194, 89121664, 68774826, 23471616, 12789386, 49755262, 59857663, 19659456, 163969303, 6045037, 11163758, 9555816, 43960601, 49707186, 3006913, 7969807, 8722347, 23458859, 77986125, 99782355, 50326426, 10266812, 78451710, 31668833, 29657818, 12467909, 105449809, 144098951, 1375471, 83657969, 2480636, 26225179, 76332171, 19213264, 24766906, 20985205, 94149337, 57307319, 62842898, 143590005, 42527030, 5080235, 28854300, 137414743, 2224546, 19222845, 25784813, 5229812, 74196242, 43573138, 38725004, 6267468, 24297952, 18700644, 20159442, 239834491, 7260278, 10148911, 160122026, 96921378, 27274612, 46872430, 2265951, 330972392, 34900327, 152417019, 135690981, 39340313, 117985507, 162242990, 39902837, 20672213, 7805551, 67476139, 6464083, 46661621, 136127023, 12704938, 39011870, 141594469 ], [ 261799762, 52708070, 91521943, 22700031, 33277103, 38081745, 59988094, 198137368, 22170046, 114197075, 150685462, 29950049, 71615469, 172501389, 57273016, 30405877, 18518610, 141700591, 32556974, 13584043, 19661620, 116189539, 25759132, 35448400, 8151623, 14144875, 70439458, 12446119, 49109317, 12673692, 216228118, 32126713, 40148963, 103716003, 9919743, 41163899, 17644444, 6584236, 9985536, 64448995, 31539169, 30692901, 98787651, 30272902, 39598691, 97557250, 84757146, 33690048, 88574979, 45529521, 17004455, 33810309, 12789386, 67955405, 62202479, 98427032, 62931609, 22511935, 11163758, 33823205, 123106573, 42231660, 3006913, 146026334, 231197265, 4770883, 131606927, 116873020, 50326426, 11128502, 57604465, 12719942, 2585693, 18583904, 155837740, 57488580, 1375471, 9226336, 23137451, 1081391, 81887076, 56406663, 11914058, 35163687, 42126297, 28676103, 38520287, 134674203, 21984310, 67954737, 132045118, 7492623, 8702321, 19222845, 221718250, 5229812, 5674697, 15323433, 204038577, 33298379, 6201028, 9498304, 64410245, 245073165, 7260278, 4696912, 54262985, 96921378, 35164341, 46872430, 31216632, 18245555, 17980645, 51837287, 34187618, 71561743, 111839695, 111950818, 39902837, 11620212, 16330325, 175745198, 152450658, 42732139, 20069025, 45228415, 39011870, 155854483 ], [ 61276024, 97085922, 91521943, 70998739, 65742121, 7829423, 81223123, 218437282, 10475659, 55614629, 30421189, 39101763, 28295734, 13472818, 57273016, 32981254, 44076939, 6260797, 29159332, 81309823, 29984501, 20933782, 52292132, 34088334, 22205311, 169080972, 16102179, 26664462, 4139590, 21147669, 32318278, 247786119, 128013056, 227915236, 28755322, 107832548, 277657016, 49964314, 562100, 36700884, 188043164, 10259202, 163948363, 124972417, 37958668, 6187450, 45355243, 99461273, 34932760, 39260400, 26014536, 48322024, 51243350, 67955405, 5467318, 47709058, 38742895, 164215030, 11163758, 22211458, 115948460, 96510512, 33395442, 24550729, 171930536, 96252702, 43635014, 102175089, 3391519, 11128502, 80712506, 7911615, 29657818, 14442829, 88323546, 116247650, 27684402, 6196132, 250207328, 19249411, 44581685, 35924575, 109561006, 20985205, 64752984, 23136344, 12729630, 129243052, 94947610, 45315856, 76967518, 120288385, 53375586, 19222845, 143939403, 5229812, 5674697, 43573138, 38725004, 164274700, 144108904, 25136471, 18758854, 18508914, 39990073, 14180180, 2331077, 43313435, 14895092, 13010805, 19660041, 99755001, 80114787, 7309789, 53683880, 44073629, 74266413, 2726960, 39902837, 7574241, 263551128, 67476139, 87110961, 46661621, 136127023, 50650993, 9794231, 10384455 ], [ 57812854, 38167608, 24442142, 112514061, 125261259, 53235021, 29738778, 10728620, 25044537, 50186424, 96489360, 1616244, 8799657, 75666424, 41579618, 18429975, 30147925, 901280, 29159332, 40299525, 29984501, 88262117, 36114349, 9683852, 31517016, 3571107, 19916619, 31043805, 4139590, 21147669, 145809542, 16273457, 30480996, 76451841, 9919743, 22598478, 13221750, 32525062, 23580742, 2170826, 24602149, 10259202, 12920141, 52801849, 9470869, 18939602, 22487531, 48111869, 1057542, 33652158, 26014536, 3549029, 51243350, 24508359, 5467318, 13359424, 16762983, 7865970, 11163758, 28456691, 17639151, 66703717, 3006913, 48164330, 91914071, 23458859, 16518652, 3934247, 91358281, 11128502, 91892801, 102620064, 63047018, 1839938, 2603040, 30726561, 142157452, 22464142, 76316761, 19249411, 38633454, 210179830, 5826010, 66745399, 42126297, 23136344, 5991076, 132394513, 16187715, 11286161, 119485024, 7492623, 11069810, 19222845, 163961914, 5229812, 26063013, 20716534, 15610141, 81208466, 100847527, 15181059, 12279330, 40609806, 1213477, 12931334, 150724612, 55492560, 35164341, 46872430, 31533926, 66045757, 1250663, 35539146, 17198390, 77874438, 4285659, 53582699, 19888394, 7574241, 53923074, 67476139, 27074101, 78707398, 73978516, 72724469, 20692942, 20795764 ], [ 121536757, 1125960, 91521943, 53684186, 40924872, 32711496, 81223123, 24077093, 42300216, 41997364, 151853792, 74243328, 8799657, 75935544, 49382248, 21736456, 18518610, 148363555, 43663793, 120787226, 29984501, 66223794, 54507159, 3483270, 8151623, 14229681, 9823384, 8874972, 152863562, 21147669, 151768208, 16273457, 114698198, 99873730, 9919743, 15893949, 105425642, 139459833, 162586864, 109689335, 97805829, 43980649, 98787651, 124972417, 24402478, 18939602, 191320393, 193350075, 84387194, 31194521, 26014536, 53575456, 12789386, 13392175, 47110452, 2284701, 16762983, 7865970, 407909819, 247746441, 73505781, 163526627, 33395442, 107883610, 70164778, 34035772, 110304335, 313465, 10875213, 11128502, 105453333, 94246456, 16511598, 94510671, 95787369, 29962433, 2101438, 83060934, 116268803, 179908138, 45404420, 629887, 54757914, 33341402, 77984922, 7244825, 67128974, 133648927, 32125681, 3582477, 216535386, 7492623, 26591430, 108451569, 61536432, 5229812, 5674697, 43573138, 27524355, 201240589, 23271493, 106473325, 26338059, 207540529, 21173172, 13305847, 16100879, 43313435, 34714145, 16041375, 43458299, 152283894, 82675553, 147019294, 68392417, 77874438, 3124469, 9219250, 39902837, 94962878, 35926574, 39880734, 67065931, 78707398, 80028217, 142619239, 54866235, 50354281 ], [ 69425260, 36539407, 91521943, 27543629, 136245013, 205770597, 60053269, 137301299, 38287591, 85692249, 90727565, 74243328, 71615469, 103238697, 124769759, 346896875, 117216042, 6260797, 145452590, 138673085, 29984501, 254271436, 54507159, 34088334, 3474163, 47168326, 33382862, 68344734, 4139590, 21147669, 182484876, 187511303, 28190702, 58495579, 6697216, 107832548, 140274632, 234806902, 562100, 159895372, 100560872, 13424672, 49905013, 124972417, 1351015, 6187450, 46963576, 145062040, 331134396, 223778508, 26014536, 254195111, 111175371, 37635859, 74241463, 61359862, 22877542, 71019915, 14648640, 349006377, 17639151, 96510512, 33395442, 24550729, 29568306, 421279267, 5017296, 253240686, 3391519, 11128502, 151575764, 7911615, 30321886, 30813733, 134527487, 183097834, 58924143, 197244414, 86746536, 19249411, 63506446, 156045941, 24766906, 65026614, 7835358, 23136344, 59978117, 143590005, 160759128, 45315856, 89650984, 7492623, 191273026, 183582670, 119176544, 5229812, 19207569, 43573138, 61738332, 268612670, 24004917, 115583993, 64410245, 284901163, 76268170, 2904225, 36849268, 291330493, 35164341, 94194490, 19660041, 152283894, 47260902, 44661033, 303024978, 44073629, 14187457, 450273752, 39902837, 83135938, 271186117, 206286173, 414628413, 14147659, 83769151, 336312939, 54663602, 31409485 ], [ 7524369, 49061805, 91521943, 74511019, 22099110, 19122126, 50325822, 24077093, 11338106, 16677736, 42493755, 74243328, 71615469, 51589260, 23609316, 69899350, 18518610, 64918122, 23948701, 215895473, 57071156, 66211130, 48946414, 34088334, 8151623, 47168326, 21228343, 25215981, 11994486, 21147669, 14630227, 125103410, 81060133, 86439671, 9919743, 61929643, 31600162, 12448949, 9985536, 119921711, 56845272, 90291037, 22970055, 56096251, 210379947, 57317810, 46963576, 40785375, 54723120, 85786520, 117053257, 55575331, 12789386, 178082054, 74241463, 47709058, 35537402, 6045037, 37915917, 100336660, 71158851, 37045068, 5977082, 7969807, 61780481, 4770883, 7930758, 12512447, 10875213, 11128502, 211990495, 89997617, 16950518, 92766802, 17586368, 28185210, 138532575, 22464142, 52479638, 76106536, 170878775, 77870115, 24766906, 35163687, 4293020, 23136344, 62842898, 7014981, 6355826, 73828439, 191962791, 7492623, 185180128, 19222845, 15727200, 5229812, 264465696, 20716534, 93137640, 49422087, 177108249, 4092571, 50865195, 239834491, 44397783, 10148911, 52719948, 21571738, 9576787, 25731143, 17449333, 152283894, 17980645, 6531870, 92056838, 77874438, 3207842, 38735420, 39902837, 20672213, 185140966, 13611646, 35652117, 35781802, 121786613, 180722695, 39011870, 4334444 ], [ 69425260, 2248874, 34280264, 198011609, 9926922, 83186706, 81223123, 2963064, 11338106, 139753242, 37497957, 39101763, 12907702, 51589260, 25976978, 176356459, 284891309, 9309138, 51287163, 97460704, 29848094, 15266729, 21425487, 34088334, 2443526, 47168326, 16674892, 121251150, 22179150, 21147669, 32318278, 41544785, 81382534, 19490018, 9919743, 33065867, 18261773, 176408032, 4439019, 82710649, 161630182, 124550739, 89157746, 23136720, 1351015, 55750092, 1085678, 2257890, 64141567, 85786520, 26014536, 33810309, 114005251, 67955405, 74241463, 86751626, 80207733, 6044690, 164450178, 13928676, 117524067, 73816208, 33395442, 15008321, 28367226, 165478466, 114914010, 59124870, 21364041, 11128502, 77589226, 35655366, 16511598, 12467909, 21543984, 76258876, 142157452, 22464142, 86746536, 62617242, 76332171, 26595895, 24766906, 35163687, 82175132, 23136344, 59257350, 14259933, 32125681, 1729183, 9736725, 7492623, 112610509, 2279026, 20286424, 5229812, 120601115, 20716534, 17408166, 11632480, 114758529, 87856146, 64410245, 106980532, 34374270, 150049881, 24786772, 55492560, 9501087, 46780302, 8198026, 152283894, 108892514, 61253805, 151993672, 39340313, 123359600, 135279616, 6556908, 3923120, 21759941, 13611646, 6464083, 78707398, 7940278, 7517031, 13252763, 8385885 ], [ 42120997, 90161977, 23119814, 105660518, 78246905, 84316290, 42050285, 10728620, 11338106, 130105926, 47235464, 7482745, 69829945, 32351205, 57273016, 4605955, 35635354, 69607594, 201456877, 138673085, 7183235, 164350090, 54507159, 1333810, 18345311, 47168326, 16674892, 76875418, 4139590, 21147669, 32318278, 118197882, 40148963, 84314686, 9919743, 62110579, 16958417, 34911974, 23580742, 18016876, 55102856, 30692901, 4528959, 42432070, 12039764, 181581527, 45977162, 47535366, 8380530, 85786520, 26014536, 132918258, 51243350, 29646401, 74241463, 28754582, 47564594, 128895942, 11163758, 23430929, 38748658, 2672366, 33395442, 11946234, 14845455, 23458859, 42737403, 339199, 21364041, 11128502, 125957215, 35655366, 2585693, 18583904, 95787369, 188749759, 1375471, 22464142, 50338537, 19249411, 158750746, 26055812, 11914058, 33341402, 48737309, 23136344, 107412209, 65859679, 97743143, 74366654, 87303430, 2933573, 77572742, 19222845, 161908243, 5229812, 47946239, 20716534, 15364730, 3297281, 33004883, 79870237, 26338059, 76428007, 45652776, 20627281, 14861593, 55492560, 35164341, 16041375, 31533926, 18245555, 82675553, 22928482, 54283146, 1778507, 82120462, 31934816, 17284362, 20672213, 34534887, 18566907, 919956, 30294394, 84204474, 103693973, 38692494, 8385885 ], [ 22881606, 56680051, 43139594, 48087375, 136245013, 19122126, 81223123, 10728620, 5001174, 93932019, 119367130, 46750225, 56211229, 7564406, 239835454, 147673117, 124340353, 141745669, 6656915, 46776872, 29984501, 15266729, 39303204, 34088334, 89940668, 47168326, 16674892, 9297054, 16651970, 21147669, 32318278, 333688905, 108507156, 75611327, 9919743, 22598478, 140274632, 334452040, 23580742, 37153598, 158735679, 26920336, 15986411, 17925071, 39853586, 61142175, 46963576, 40785375, 110714743, 85786520, 26014536, 87331021, 114005251, 125924400, 26675367, 86751626, 133808096, 6045037, 37915917, 28456691, 64474081, 21174889, 33395442, 7969807, 51274772, 23458859, 131606927, 46647848, 21364041, 11128502, 18298946, 35655366, 2585693, 23600752, 227033913, 9022882, 117494400, 11807115, 52479638, 58059705, 22181677, 311897726, 24766906, 14250187, 229837530, 12526600, 31450107, 18384142, 160759128, 1586059, 82338458, 7492623, 77572742, 19222845, 35315416, 90364249, 110741840, 43573138, 120942694, 81208466, 58946938, 27575029, 48659214, 239834491, 23382202, 66126466, 77257505, 135052284, 35164341, 73168684, 31533926, 18245555, 108892514, 75222315, 67308819, 26406378, 61455209, 135279616, 68107000, 51565532, 193466779, 67476139, 265224074, 78707398, 7940278, 29044178, 59543859, 158189237 ], [ 24568957, 608376895, 639036032, 218893519, 43964340, 42600000, 182108133, 57282820, 248735547, 214644407, 151853792, 602715980, 71615469, 63070458, 100320827, 63288043, 292760137, 148363555, 34562533, 101486490, 80759830, 88262117, 49929162, 305734744, 136407034, 502438615, 30126758, 325756812, 85673659, 356795207, 284826954, 120073101, 176707072, 260270241, 9919743, 36362030, 260831440, 111646838, 162261244, 26723723, 11142073, 92862550, 49905013, 300003032, 239972320, 181581527, 169195268, 92755281, 23078767, 323411093, 26014536, 87331021, 5866343, 160133482, 156207902, 123894405, 163969303, 66324518, 24519009, 279690392, 332950322, 431513741, 10055390, 59464778, 189214701, 136051993, 9199391, 246280507, 120309477, 170917481, 224436269, 12631605, 111539325, 120224, 86435405, 29962433, 162082338, 207719043, 19353368, 1081391, 38633454, 156045941, 220491166, 32908875, 43412957, 116731577, 143989921, 134674203, 55897584, 73828439, 66972543, 7492623, 211219803, 19222845, 171302980, 5229812, 63753642, 43573138, 114793140, 285271196, 250550913, 9498304, 30257426, 50616358, 29603894, 4696912, 160122026, 71092343, 35164341, 94194490, 31216632, 152283894, 108892514, 194919342, 358436181, 31218679, 45681510, 135739122, 19888394, 94962878, 16227549, 67476139, 183488793, 12931856, 208043842, 142619239, 57156642, 461564269 ], [ 63235793, 22529708, 91521943, 66978882, 25910147, 3682891, 40798206, 24077093, 47429823, 46741789, 24054309, 26287040, 40597288, 181923240, 57273016, 13112516, 7619152, 1320109, 11188232, 57523743, 9367199, 98765786, 11683086, 34088334, 45738921, 3571107, 9823384, 46274253, 41015127, 21147669, 80691168, 1452202, 40719382, 302525105, 9919743, 15893949, 85660278, 147319815, 21086626, 92555797, 5498800, 26317362, 68293873, 26612374, 20097980, 5564078, 25188003, 6832331, 121467205, 6336347, 26014536, 35578335, 2447338, 38688233, 64904060, 10654555, 75770217, 28949676, 19549183, 136370792, 99257009, 13408362, 11604445, 63735796, 758187, 99198827, 23660337, 12512447, 58456141, 11128502, 54649914, 105546671, 27602223, 118429636, 20588532, 16807386, 48982349, 71500726, 54031524, 1081391, 66369083, 73455007, 24766906, 26791723, 8841244, 9750518, 65634980, 13271451, 42527030, 5080235, 17324566, 7492623, 8702321, 19222845, 15727200, 65146730, 9904138, 282804, 110766261, 30702354, 22953946, 9498304, 3458219, 50616358, 18629613, 4696912, 47583747, 21571738, 24472856, 18875456, 31216632, 152283894, 39978464, 46633746, 240354627, 313162, 69370192, 8435652, 28991702, 62908296, 7805551, 63207095, 1622103, 78707398, 37146098, 49757387, 53849807, 12517399 ], [ 12732776, 37049060, 20551867, 110987411, 43964340, 7829423, 52385941, 24077093, 11338106, 113450913, 33741451, 55136879, 22757081, 46803205, 57273016, 21736456, 7619152, 17501050, 2426436, 15163429, 80759830, 18055061, 49929162, 21110622, 21710163, 3571107, 9823384, 1304284, 85673659, 21147669, 47253721, 16813920, 92420806, 91141172, 9919743, 15893949, 85660278, 10327703, 86884185, 86442223, 75715173, 39668587, 37838831, 22668122, 20937083, 37449118, 46963576, 68767314, 7617318, 96452401, 26014536, 51115619, 62581808, 67955405, 17366602, 34775875, 18011977, 71019915, 14648640, 6610976, 43935746, 48287149, 10055390, 48164330, 561459, 24848086, 9199391, 3498867, 103833707, 11128502, 20530384, 105937093, 34433728, 118429636, 20588532, 36797548, 26633138, 36564773, 95255415, 108979105, 77230410, 629887, 24766906, 23576199, 12184028, 13140955, 47933954, 1804505, 36523646, 30310893, 99140986, 7492623, 30136489, 14558530, 66555186, 5229812, 37119810, 2365425, 90706319, 32328827, 115905528, 64093278, 38356218, 604917, 141032942, 11133370, 40607043, 43313435, 12933874, 45535690, 8198026, 79929773, 1250663, 194919342, 43036461, 31218679, 4778538, 9219250, 27946677, 11442245, 39880510, 23424037, 55862391, 78707398, 44848245, 30584296, 54237163, 8385885 ], [ 36165227, 38167608, 91521943, 80487212, 68797297, 7829423, 81223123, 222700040, 25044537, 43540580, 25213020, 343617, 22260408, 4386071, 57273016, 12983464, 42324415, 48641885, 51287163, 49683892, 29984501, 15266729, 49929162, 1333810, 116257715, 43176167, 16674892, 109224622, 15553297, 21147669, 32318278, 1452202, 69242502, 84314686, 9919743, 15006975, 277657016, 12448949, 157863416, 101321538, 106509675, 39668587, 49905013, 22668122, 157782717, 8738751, 2870098, 5528881, 127748525, 58812563, 26014536, 30726932, 51243350, 67955405, 98129014, 34775875, 48212736, 11778188, 11163758, 108112636, 2470016, 2672366, 33261372, 36769191, 745699, 39487578, 57995239, 59124870, 150232817, 11128502, 65080746, 104722467, 252660655, 28358421, 61216899, 26211148, 219322894, 185524520, 106097577, 53956192, 76332171, 71414976, 43166814, 152145799, 97975902, 23136344, 143989921, 143590005, 16187715, 30310893, 192070201, 7492623, 30136489, 19222845, 32028968, 5229812, 11867819, 43573138, 20781947, 32328827, 34106062, 61461740, 53806064, 28666453, 77888603, 134518649, 160122026, 71092343, 2458123, 67142518, 111169812, 147356478, 108892514, 117633905, 64721538, 8699484, 4778538, 10451778, 39902837, 39777883, 39880510, 59707201, 27998142, 78707398, 7940278, 4746681, 86532592, 125388862 ], [ 85183716, 159635243, 40672129, 82083921, 1259187, 263198256, 103757135, 92093921, 153079691, 23905426, 36807918, 17470031, 58409517, 75666424, 15046430, 256542786, 60919896, 29466415, 51287163, 28941804, 207565022, 118542520, 54507159, 6828228, 79409986, 163246600, 213782923, 325756812, 67213595, 21147669, 182484876, 62199772, 24847453, 148188237, 282226240, 22598478, 89979232, 185510244, 162261244, 87827968, 108687630, 45206211, 4528959, 17845252, 188678448, 38061360, 16082988, 6832331, 44819145, 46346968, 252946215, 10030682, 15119195, 111807976, 114389736, 122424808, 179471924, 61674512, 14648640, 29087430, 123106573, 146962618, 23971936, 23951579, 124138703, 136051993, 116844005, 99075222, 66162324, 100309519, 24120470, 104722467, 18360980, 81728142, 1476990, 650572878, 30931835, 25369199, 16528031, 105789928, 70737589, 109922148, 25419863, 45077948, 48897944, 22740229, 96107183, 143590005, 10640570, 41232400, 91110175, 48008163, 47854487, 19222845, 51095326, 44916132, 111476901, 1404637, 30547542, 108053240, 276421326, 176571085, 66197001, 88710090, 18629613, 3628327, 74355201, 33012513, 106621987, 3674981, 32527944, 156438012, 39978464, 248228974, 70357795, 31218679, 14187457, 26257979, 39027969, 51565532, 98344, 25533915, 191898261, 135274994, 130806112, 73733695, 39011870, 1083979 ], [ 6925873, 39301225, 63795472, 27899268, 26425275, 7829423, 83006180, 10728620, 47429823, 16677736, 33741451, 74243328, 49982375, 6355329, 57273016, 63008251, 65435580, 28824799, 20495823, 138673085, 17088587, 74692296, 54507159, 70237298, 4836413, 47168326, 70439458, 71426055, 85673659, 21147669, 50069238, 30479417, 42958870, 19490018, 9919743, 22598478, 63462593, 87084844, 9985536, 2472168, 161630182, 74514401, 51348534, 101891439, 66021581, 8738751, 36948482, 51412002, 40487870, 19628645, 20366322, 86665551, 166168535, 67955405, 74241463, 122424808, 46562688, 131914383, 12994571, 40979530, 20167689, 21913093, 113599961, 36769191, 38401790, 4770883, 9199391, 49958519, 30774527, 11128502, 4212940, 104722467, 79637443, 12467909, 20588532, 43281580, 98914017, 63193423, 36898656, 108979105, 76332171, 30311312, 24766906, 45077948, 8814295, 9750518, 19628081, 53179238, 74453127, 48626362, 28854300, 7492623, 8702321, 19222845, 23155834, 69996139, 63753642, 15323433, 5837243, 78585718, 126157943, 14524252, 3458219, 71747420, 165357810, 150049881, 18467329, 68907757, 35164341, 24617554, 66908106, 66045757, 17980645, 49481769, 162901039, 37966319, 151087889, 135739122, 18050038, 29903689, 47528981, 67476139, 6464083, 35781802, 73978516, 35363280, 39011870, 40528197 ], [ 24568957, 36539407, 91521943, 74511019, 124767128, 7829423, 39198530, 92456445, 11338106, 179768988, 42522121, 33357225, 5021954, 12265261, 36634874, 21034128, 18518610, 44778422, 5312691, 131129715, 29984501, 88262117, 7422099, 34088334, 8151623, 43176167, 273758191, 31043805, 4139590, 9811063, 34202976, 72608530, 37924836, 91141172, 9919743, 22598478, 154444328, 167742815, 14852364, 50595135, 75715173, 92862550, 42794805, 124972417, 133202078, 5564078, 53039174, 125966927, 23078767, 33952486, 26014536, 72386568, 12789386, 160133482, 18372655, 13802806, 22877542, 57345974, 11163758, 4096752, 20167689, 21913093, 10979973, 36769191, 26558266, 108437190, 9199391, 21907393, 50326426, 11128502, 4212940, 93778652, 26179740, 18111354, 177618837, 1314150, 26633138, 36479891, 19353368, 19249411, 5989126, 48006655, 74513617, 90826362, 8841244, 23136344, 19628081, 71012109, 36523646, 179455, 41389283, 7492623, 53375586, 19222845, 79091183, 5232805, 9904138, 43573138, 58607856, 7670452, 54147679, 14524252, 3458219, 31086683, 56046697, 42055225, 36849268, 209877782, 35164341, 48503409, 8198026, 152283894, 34900327, 259420844, 184373931, 37966319, 620983, 134744943, 19888394, 22643413, 16836987, 67476139, 8567980, 12931856, 208043842, 22383659, 54663602, 8385885 ], [ 224415304, 323001307, 20551867, 114596773, 25910147, 7829423, 22136882, 98427877, 11338106, 71013518, 150685462, 34610107, 8362405, 43984272, 48398305, 201684345, 40855158, 44778422, 2426436, 12230160, 29984501, 142843678, 7097485, 78457523, 79409986, 47168326, 40609671, 79277097, 67213595, 21147669, 216228118, 33772683, 92420806, 19490018, 62623214, 180270267, 27774752, 90589342, 86884185, 38001837, 5498800, 65192319, 49905013, 110307916, 141293504, 6253966, 46963576, 235837855, 168788852, 6336347, 6062175, 10030682, 95532786, 67955405, 17366602, 264741552, 18011977, 71019915, 134047147, 82513676, 64474081, 331010628, 33395442, 107612091, 141372904, 8767110, 9199391, 116873020, 2973187, 11128502, 5029277, 6038789, 156246820, 12467909, 55101405, 34142949, 142157452, 71500726, 10845223, 74104424, 47921671, 35924575, 24766906, 99854249, 71345950, 3805910, 71541590, 143590005, 70797032, 73828439, 28854300, 114032897, 8702321, 19222845, 97838497, 74175936, 9904138, 15323433, 8006431, 30702354, 31953348, 44820657, 22800878, 72020434, 18629613, 58838564, 144230593, 199328976, 24472856, 5790017, 134330898, 165346274, 34900327, 23255725, 33231286, 22025833, 138324885, 8435652, 162226585, 74255186, 10094996, 65489594, 6464083, 78707398, 208043842, 14470948, 153660731, 8385885 ], [ 73278332, 38167608, 9024081, 157120283, 33277103, 7829423, 54149084, 41655514, 25044537, 43540580, 33741451, 74243328, 8799657, 43984272, 140570866, 63370014, 40855158, 1320109, 20611919, 135368577, 14124551, 143748533, 54507159, 34088334, 31517016, 43176167, 32545125, 46274253, 10837950, 21147669, 2500731, 30479417, 127800167, 2663105, 9919743, 22598478, 85660278, 106295644, 14852364, 37153598, 73803593, 9182292, 89956363, 52687771, 239972320, 8738751, 25188003, 145062040, 246178345, 147982748, 26014536, 35578335, 142982744, 126181351, 74241463, 32926008, 62931609, 7865970, 135362418, 16330527, 265627151, 21913093, 171273, 36769191, 26558266, 37518768, 9199391, 20876282, 94420609, 11128502, 58691418, 73698525, 79637443, 12467909, 20588532, 43281580, 142157452, 39444211, 76316761, 11209908, 2886570, 56699164, 24766906, 17277866, 132605470, 23136344, 26321502, 34969278, 16636870, 40272716, 28854300, 7492623, 8702321, 19222845, 26139271, 99126886, 49666769, 15323433, 8006431, 9350717, 138193814, 13573695, 3458219, 68667206, 19183191, 112277713, 74870951, 56759152, 45380486, 2095714, 60361613, 152283894, 1250663, 31974395, 14117719, 9524705, 34972521, 36123046, 28991702, 49074898, 112368064, 76350134, 6464083, 43439840, 81885855, 35883833, 52134026, 49707727 ], [ 65594760, 97085922, 91521943, 17394282, 136245013, 7829423, 81223123, 35571681, 11338106, 14650532, 111594686, 74243328, 71615469, 69439694, 57273016, 24402068, 206066800, 44778422, 44220525, 107827319, 1549220, 391449519, 54507159, 34088334, 139986353, 169774264, 115998699, 42282152, 4139590, 9811063, 6659009, 2868832, 46035848, 72569546, 9919743, 158620482, 85660278, 125350875, 178803138, 37153598, 5498800, 65192319, 88055838, 124972417, 36597070, 8738751, 8899107, 14156480, 106295078, 6336347, 6266940, 87331021, 51243350, 28863318, 17366602, 13802806, 179471924, 34742023, 11163758, 218819939, 22719135, 21913093, 33395442, 10703012, 83584128, 99198827, 1604517, 71913506, 25329720, 11128502, 120351392, 113058868, 16407366, 60270550, 20588532, 43281580, 98914017, 71500726, 19353368, 11209908, 64692649, 190257354, 40525522, 150441321, 202734682, 23136344, 65634980, 99141108, 2301376, 73828439, 167459076, 7492623, 10225545, 19222845, 51254402, 95982930, 9904138, 43573138, 272014843, 30702354, 18657994, 13573695, 3458219, 42464866, 106243040, 150049881, 18467329, 43313435, 24472856, 46738299, 31533926, 152283894, 108892514, 259420844, 157498963, 13207700, 14187457, 8435652, 24346444, 83135938, 32182005, 62201479, 142662399, 76804661, 238374472, 235151078, 7087443, 8385885 ], [ 6925873, 97085922, 91521943, 74511019, 125013236, 23033044, 124487828, 92093921, 11338106, 113450913, 96559793, 17470031, 8799657, 39175709, 4724026, 21736456, 18518610, 44778422, 29159332, 31267299, 80625604, 104300478, 7097485, 34088334, 8151623, 34974794, 1156155, 61290542, 31058967, 21147669, 80691168, 30479417, 46035848, 111923324, 22427269, 15893949, 85660278, 90589342, 20058432, 161168419, 77659118, 10259202, 88209543, 30558834, 5862284, 163030570, 36042734, 14156480, 146837829, 52133795, 26014536, 49228694, 12789386, 61084979, 9226797, 1188044, 75648262, 7865970, 146385665, 31897130, 61606123, 25224650, 10055390, 74046888, 83584128, 32473621, 131606927, 111905027, 50326426, 11128502, 140177897, 93778652, 56955854, 118429636, 7722635, 68677862, 42483323, 62078491, 228269343, 74104424, 11038962, 629887, 6244249, 45077948, 25151767, 23136344, 96107183, 13271451, 121733072, 40672145, 17324566, 152837454, 29804875, 19222845, 62266721, 75897377, 9904138, 3240417, 8006431, 30702354, 31953348, 79870237, 42410573, 36786239, 165357810, 150049881, 40607043, 167133963, 35164341, 106480984, 95156731, 12473269, 61107429, 13069568, 47262481, 77874438, 64456563, 21532160, 88814411, 7574241, 53923074, 52405978, 17832662, 78707398, 74621554, 2330188, 16017504, 8385885 ], [ 254535102, 97085922, 44613993, 203763900, 70390093, 78036541, 64387108, 19521038, 11338106, 163151050, 22907577, 60970584, 11184496, 110792808, 23609316, 31352973, 67767897, 148363555, 51287163, 28941804, 29984501, 143748533, 49929162, 34088334, 31517016, 11444678, 146146899, 122065511, 4139590, 21147669, 78700656, 61089924, 37924836, 126414617, 9919743, 107832548, 154444328, 13704278, 110155120, 194479144, 5498800, 124550739, 77608895, 3509838, 37033709, 41088252, 169195268, 98960917, 33588151, 31194521, 26014536, 87331021, 112826420, 13392175, 95105938, 86751626, 107804178, 195371164, 134047147, 140517138, 116120428, 40839828, 33395442, 75544715, 187959337, 185257282, 131606927, 21907393, 136008579, 11128502, 81048222, 93778652, 104330210, 59467860, 55101405, 69681164, 15393276, 183581583, 137048290, 19249411, 73122758, 48006655, 3165355, 179773307, 4626969, 23136344, 1709984, 136305673, 149029918, 25591598, 28341117, 7492623, 97873323, 19222845, 68169066, 5229812, 5674697, 43573138, 8006431, 67173398, 75753350, 80951511, 53806064, 72020434, 90687665, 54920280, 52494335, 128632559, 35164341, 39948840, 8198026, 152283894, 1250663, 174457815, 2442057, 22788190, 123359600, 135279616, 39902837, 47771804, 188099546, 39880734, 197816378, 78707398, 208043842, 1957836, 54663602, 8385885 ], [ 82816544, 82282403, 57791115, 157120283, 133624065, 753563, 40798206, 41655514, 11338106, 14650532, 7952411, 33357225, 5021954, 63070458, 57273016, 4605955, 124340353, 47546757, 67004930, 91072366, 90803632, 80782010, 54507159, 34088334, 3657030, 3571107, 231150847, 15707594, 85673659, 18419991, 2500731, 29057547, 46035848, 2663105, 9919743, 22598478, 118469328, 369922829, 123466888, 8352151, 36108440, 34708374, 98787651, 108193503, 39853586, 181581527, 11561799, 33027000, 212705378, 51539140, 26014536, 87331021, 15119195, 33034785, 52667417, 45239828, 179471924, 8221730, 170870027, 47555846, 35213388, 138403496, 166247101, 63735796, 35286264, 23458859, 9199391, 3498867, 78717629, 8937545, 365873237, 224592928, 2585693, 56905611, 74678046, 191921736, 91380705, 36564773, 74929711, 11209908, 45404420, 19618925, 24766906, 45077948, 61016156, 23136344, 4519966, 126301764, 12596429, 73828439, 200162818, 7492623, 47854487, 16402299, 264493512, 5229812, 58105643, 43573138, 122359882, 81208466, 54147679, 13573695, 56859134, 42464866, 29603894, 115582686, 1030147, 199328976, 32829942, 23353532, 49678368, 18245555, 34900327, 24390536, 43036461, 77874438, 64456563, 135279616, 39902837, 11442245, 105796363, 260481653, 15840429, 12797032, 349853773, 166270172, 39011870, 8385885 ], [ 6925873, 13262061, 132407122, 82213042, 19987550, 7829423, 40798206, 222123072, 47429823, 16677736, 119367130, 55136879, 41164813, 39175709, 57273016, 24380805, 7619152, 141325166, 51287163, 51122428, 9367199, 194185315, 54507159, 79717784, 223173177, 47168326, 31311880, 42706824, 20442228, 98455822, 14630227, 78157073, 53283484, 36230261, 115003938, 22598478, 85660278, 90589342, 86884185, 165483200, 5498800, 65192319, 49905013, 124972417, 7150152, 8738751, 46963576, 67453091, 168788852, 6336347, 26014536, 38680821, 108619624, 49755262, 74241463, 28456575, 75770217, 46697041, 82788461, 82513676, 39023430, 21913093, 33395442, 36769191, 758187, 99198827, 45249501, 12512447, 174174712, 11128502, 54649914, 104722467, 104330210, 118429636, 20588532, 43281580, 121397505, 84648095, 54031524, 74104424, 132543120, 92934686, 24766906, 138436919, 32908317, 25287032, 65634980, 34969278, 47087107, 73828439, 71986519, 114032897, 23401976, 19222845, 15727200, 65146730, 242640728, 43184542, 8006431, 158829031, 156622523, 6092105, 3458219, 72020434, 49453078, 60881301, 146392488, 21571738, 24472856, 47500651, 31533926, 18668880, 52410725, 133802657, 94303060, 313162, 142519476, 8435652, 28991702, 51565532, 7805551, 63339542, 80197646, 4241466, 74621554, 110159101, 64737594, 120635486 ], [ 6925873, 114203986, 28281215, 27899268, 43964340, 7829423, 182108133, 10728620, 47429823, 16677736, 33741451, 17470031, 22757081, 39175709, 41668777, 142077666, 47462562, 148363555, 51287163, 26948163, 80759830, 46042705, 15394990, 1333810, 37152414, 11240945, 202725313, 46274253, 36979083, 9811063, 74237613, 30479417, 13784895, 7533422, 9919743, 22598478, 140274632, 90589342, 23580742, 129555925, 5540999, 4170021, 37838831, 25169042, 106813252, 11684360, 10632330, 33027000, 116687584, 52133795, 26014536, 38680821, 161036725, 67955405, 317852, 13802806, 101711461, 71019915, 24519009, 82513676, 38154238, 2672366, 35482396, 317560233, 113542778, 23458859, 110304335, 20876282, 12141502, 11128502, 7997059, 42522192, 26179740, 63296635, 82389679, 116247650, 142157452, 43576461, 122376589, 47797032, 166971636, 26643851, 24766906, 45077948, 32908317, 9750518, 103379690, 100320188, 52984891, 73828439, 1357031, 7492623, 47854487, 19222845, 190832506, 5229812, 27559469, 43573138, 115403121, 32328827, 1111505, 22447868, 46124803, 50616358, 133882609, 128273349, 19570961, 71092343, 12933874, 17299405, 26595740, 66045757, 41638114, 194919342, 86784190, 8699484, 48065875, 32089485, 24346444, 8414940, 127426494, 65489594, 17832662, 4241466, 73978516, 159034801, 39011870, 120635486 ], [ 48319627, 82282403, 91521943, 66978882, 43964340, 7829423, 46756581, 57282820, 47429823, 55614629, 150685462, 55136879, 1954083, 75666424, 57273016, 63288043, 40855158, 44690211, 92585706, 6776719, 31114993, 46042705, 18823010, 115965490, 101437440, 47168326, 38923934, 46274253, 4139590, 5485182, 100177753, 30479417, 130629805, 168762064, 72347838, 22598478, 140274632, 49964314, 86884185, 92555797, 5403292, 7616952, 49905013, 124972417, 87164988, 152257545, 46963576, 33027000, 121467205, 52133795, 26014536, 72386568, 77693775, 49539256, 74241463, 34775875, 52796377, 28949676, 14648640, 16274377, 12831060, 19639266, 166247101, 48164330, 95515997, 23458859, 110304335, 20876282, 120309477, 11128502, 65080746, 65954544, 27602223, 60270550, 207360436, 116247650, 1247915, 61991755, 95255415, 19249411, 214126455, 14924600, 24766906, 13719877, 604504, 9750518, 111868867, 13271451, 52984891, 22114532, 163706045, 15547474, 47854487, 19222845, 248326324, 104143425, 84802929, 43573138, 91533590, 32328827, 66315233, 79870237, 64410245, 50616358, 38431769, 150049881, 153438619, 27898546, 35164341, 146937964, 95156731, 87529394, 34900327, 259420844, 34724323, 31218679, 14187457, 62252820, 43538294, 47771804, 106666320, 26274169, 17832662, 78707398, 71334043, 1832243, 54663602, 120635486 ], [ 116604523, 154685277, 13184479, 52780335, 25910147, 9244547, 46756581, 58388583, 47429823, 71013518, 151853792, 55136879, 32943424, 16670671, 16216525, 161501826, 9142070, 58008113, 34562533, 26948163, 109872178, 101260139, 54507159, 305734744, 79409986, 43176167, 30126758, 76582235, 2845619, 21147669, 216228118, 385182958, 160905526, 415994865, 191724094, 79504081, 890299, 90589342, 164261126, 71854774, 35327262, 149196458, 149945377, 124972417, 141293504, 102370210, 46963576, 30898170, 31732514, 289922875, 297610802, 139214331, 39637788, 161198916, 35358837, 482574559, 179471924, 20431669, 14648640, 155642024, 173182321, 64865743, 164243119, 9782277, 24101910, 54805264, 27559398, 75920822, 51836818, 11128502, 115941622, 34200373, 73522015, 82595952, 50388734, 74155977, 60974175, 83060934, 95255415, 1100011, 33390550, 122511357, 24766906, 465300839, 43412957, 23974405, 65033536, 43533402, 12125544, 40616298, 193883785, 124494212, 26591430, 19222845, 60854711, 44916132, 67706453, 3240417, 110766261, 179317847, 293541942, 106473325, 64410245, 114835017, 18629613, 59180094, 92981473, 58570577, 35164341, 182556688, 148313715, 405203055, 142415073, 259420844, 24729259, 23357639, 14187457, 107331995, 43538294, 10007072, 10094996, 98156108, 350479575, 33348846, 223595272, 2330188, 38658921, 54875784 ], [ 82816544, 22529708, 91521943, 85872254, 40924872, 7829423, 39598297, 92093921, 71474924, 16677736, 33741451, 74243328, 162302188, 75666424, 57273016, 68244751, 36090254, 148363555, 84422149, 28941804, 29984501, 69829939, 49929162, 34088334, 29317739, 12991116, 117185345, 63507737, 85673659, 21147669, 72112365, 30479417, 97274457, 53620591, 22427269, 21836023, 93550397, 202046762, 39196081, 194479144, 85422202, 17280545, 104062712, 124972417, 13469739, 108704991, 36042734, 14156480, 127748525, 52133795, 26014536, 44772570, 65280390, 67955405, 17366602, 2284701, 69399563, 34742023, 24519009, 31897130, 38154238, 91164240, 33395442, 22357626, 83584128, 74830968, 22937672, 37008520, 63046026, 11128502, 3837077, 101181568, 111909300, 217011473, 38706565, 116247650, 162094443, 62078491, 212053240, 7147687, 76332171, 629887, 54757914, 45077948, 132605470, 23136344, 65709753, 887753, 36523646, 25247231, 209686677, 356432372, 47854487, 19222845, 97838497, 54607803, 17454450, 43573138, 8006431, 139996173, 75753350, 81262229, 53806064, 39143767, 165357810, 35033547, 47583747, 71092343, 35164341, 93134850, 14870913, 344513851, 103804387, 13069568, 44209463, 226901, 123359600, 96634029, 18050038, 22717768, 51613150, 6394601, 17832662, 35781802, 81256842, 49757387, 24965760, 35772956 ], [ 245485187, 39478371, 91521943, 115135124, 5044895, 42600000, 81223123, 10728620, 11338106, 14650532, 24054309, 60970584, 71615469, 12265261, 36634874, 4605955, 40855158, 1320109, 6714184, 50307368, 29730488, 228018192, 54507159, 34088334, 15072477, 47168326, 70770936, 75995835, 2845619, 9811063, 145809542, 30479417, 92420806, 91141172, 9919743, 22598478, 140274632, 10327703, 23580742, 26723723, 11142073, 27522825, 37838831, 114891838, 39853586, 181581527, 46963576, 4596287, 250035824, 96452401, 26014536, 72386568, 200607291, 17828803, 74241463, 13802806, 69399563, 74791039, 125964894, 72060624, 42308253, 69994182, 33395442, 9887972, 14845455, 23458859, 131606927, 12512447, 65801535, 11128502, 22704879, 93778652, 2585693, 10208989, 33384915, 69681164, 71512655, 3496511, 76316761, 1081391, 1842598, 122589011, 24766906, 61282264, 30525594, 4804257, 28895376, 34967058, 36523646, 1586059, 41296810, 7492623, 2952376, 19222845, 15727200, 5229812, 97094170, 43573138, 91533590, 26937213, 2278521, 9498304, 48659214, 42464866, 23382202, 4696912, 12047128, 21571738, 30672533, 27070144, 31216632, 18245555, 43620320, 51988145, 126226810, 77874438, 221657, 28511658, 24346444, 22717768, 33825888, 67476139, 15840429, 196477564, 30813242, 166270172, 54663602, 8385885 ], [ 34563732, 39478371, 43139594, 69290356, 70390093, 7829423, 14983444, 11373323, 11338106, 23905426, 19711813, 60970584, 1954083, 11471448, 36634874, 131948715, 14013084, 41752191, 5312691, 49056716, 47998333, 9856007, 48133062, 34088334, 21710163, 11444678, 79781033, 46274253, 4139590, 21147669, 71533032, 11282436, 10956107, 16412412, 9919743, 15085987, 33647145, 44864145, 12097461, 34923500, 73803593, 27522825, 11857120, 119808542, 39650858, 5564078, 926184, 14156480, 7617318, 55088100, 26014536, 21427781, 24439858, 8299052, 17366602, 34775875, 43914670, 30358470, 14648640, 179798274, 37537406, 2216270, 26387276, 48164330, 35286264, 51402350, 9901112, 3934247, 69819057, 11128502, 22704879, 93778652, 43998752, 20330484, 20588532, 1314150, 48982349, 71500726, 50624406, 3400982, 73122758, 48006655, 3165355, 26791723, 8841244, 4804257, 28895376, 136305673, 42527030, 5080235, 163706045, 7492623, 35881988, 19222845, 79091183, 5229812, 5674697, 43573138, 16667125, 2673014, 54147679, 8897459, 17221490, 46975680, 76376063, 42055225, 52494335, 71092343, 35164341, 48503409, 8198026, 14004186, 6098787, 46074215, 2841955, 77874438, 14187457, 21532160, 19570202, 62908296, 47211406, 44273980, 6566276, 26054610, 11770568, 35507064, 54663602, 8385885 ], [ 79155880, 97085922, 24095951, 85872254, 86873702, 7829423, 81223123, 281574122, 47429823, 57598194, 76032468, 74243328, 11184496, 75666424, 32472171, 15594252, 67767897, 70989412, 51287163, 138673085, 29984501, 104300478, 54507159, 34088334, 27931149, 28219627, 146146899, 25651786, 13793859, 21147669, 97488611, 9752379, 14370950, 118156571, 142107108, 22598478, 27137660, 7916658, 38638059, 132617706, 75715173, 112235017, 118436396, 58455906, 222415398, 37449118, 40358743, 108704999, 228200734, 34650908, 26014536, 86665551, 129468926, 131351576, 17366602, 34775875, 179471924, 214864105, 66967279, 186875839, 38154238, 163526627, 33395442, 74046888, 35286264, 9567324, 69275328, 3498867, 535701918, 11128502, 50790059, 104722467, 54980219, 112085569, 20588532, 76258876, 142157452, 36564773, 212053240, 108979105, 76332171, 261705, 24766906, 45804300, 71345950, 23136344, 29103224, 71694323, 192831500, 73828439, 399090091, 270680463, 190315097, 59505311, 68169066, 5229812, 242640728, 43573138, 117864039, 148252258, 411478320, 218835269, 64410245, 79181169, 85650521, 246766272, 160122026, 128632559, 35164341, 48503409, 8198026, 120184583, 39978464, 41214233, 115759514, 77874438, 123359600, 210061365, 39902837, 51565532, 87973016, 58829864, 90874901, 78707398, 208043842, 7332399, 84722547, 158189237 ], [ 6925873, 8182231, 91521943, 117570808, 43964340, 7829423, 49951395, 92093921, 47429823, 16677736, 33741451, 55136879, 66162198, 11054134, 57273016, 79205732, 40855158, 58008113, 7011872, 40299525, 80759830, 46042705, 49929162, 29716214, 101437440, 47168326, 117185345, 31043805, 10837950, 5485182, 6659009, 30479417, 10956107, 75517455, 9919743, 22598478, 81816634, 90589342, 86884185, 59228297, 50364819, 34708374, 11857120, 22668122, 13469739, 181581527, 36042734, 5528881, 84387194, 52133795, 26014536, 38680821, 26016639, 67955405, 54058766, 13802806, 69399563, 1194461, 24519009, 78788210, 38154238, 46046661, 72241774, 21942070, 94637722, 46635804, 84773253, 20876282, 106587229, 11128502, 91892801, 30344965, 26179740, 118429636, 20588532, 5769244, 122882640, 6235430, 169109617, 106624674, 118750294, 629887, 24766906, 179773307, 20505819, 23082340, 122509284, 91582484, 33451567, 2891920, 36462898, 7492623, 30136489, 42432384, 162806035, 67327828, 145939925, 43573138, 163430255, 32328827, 189431138, 22447868, 46124803, 33373381, 34483389, 136739244, 160122026, 58570577, 35164341, 46738299, 31533926, 129512264, 103804387, 67528546, 109141734, 13207700, 68540380, 28511658, 24346444, 10524672, 39880510, 44273980, 6566276, 4241466, 74621554, 267544741, 73978564, 104490298 ], [ 6925873, 52634355, 113505080, 106844904, 43964340, 195381819, 37809297, 273353976, 11338106, 108510903, 151853792, 74243328, 22320122, 39175709, 37793319, 13112516, 259690407, 148363555, 7302970, 113878556, 29984501, 314436128, 54507159, 34088334, 353443360, 380562168, 30126758, 201226634, 4139590, 147522623, 182484876, 90015633, 52723025, 258174640, 108646905, 4269090, 154444328, 151268113, 117340399, 194479144, 230139139, 206603753, 68293873, 124972417, 251836186, 73582730, 16984205, 71391622, 235937586, 212809955, 9319375, 87331021, 246096465, 209283105, 64706933, 88368367, 179471924, 38845634, 14648640, 114194483, 123106573, 163526627, 33395442, 48164330, 18499499, 46635804, 201505960, 26410625, 158975681, 2292078, 96556219, 197439491, 181799768, 60270550, 171632940, 29962433, 322555534, 52580062, 11201900, 19249411, 18620575, 17136231, 190947800, 12526503, 43412957, 23136344, 3632414, 24649692, 27037712, 73828439, 21047689, 48008163, 80374169, 176967612, 8190830, 92225514, 113461032, 43573138, 235760165, 108053240, 22953946, 159541387, 46124803, 207540529, 93887354, 36643396, 74355201, 194974320, 35164341, 242639146, 43458299, 157843446, 110012260, 177661650, 112710879, 31218679, 14187457, 55223196, 483914409, 67729054, 73486107, 23424037, 27253936, 69224173, 74621554, 24121594, 54663602, 8385885 ], [ 121987726, 97085922, 13184479, 31312792, 21263892, 7829423, 14983444, 117500891, 47429823, 233495439, 148654513, 28429720, 24388200, 307610120, 49382248, 192486098, 18518610, 58008113, 39005476, 138673085, 48757041, 50687754, 54507159, 34088334, 5268798, 43176167, 212983963, 2566108, 85673659, 11681448, 121139006, 94820745, 28190702, 108616651, 9919743, 149559773, 129759051, 15739239, 110155120, 160353936, 112742129, 124340352, 68293873, 11997696, 30200234, 10151165, 16984205, 11190101, 25876401, 75632376, 26014536, 33709547, 12789386, 28922729, 74241463, 100199487, 3093796, 15770687, 14648640, 37751279, 123106573, 3461683, 44960964, 6997805, 37868488, 28830461, 21391944, 109722322, 50326426, 11128502, 71245582, 6038789, 81767180, 190520336, 105449809, 17535400, 100825265, 1374860, 10845223, 108979105, 167529509, 60270032, 24766906, 32926358, 94396060, 23136344, 20726289, 143590005, 149029918, 15850384, 1357031, 7492623, 23401976, 19222845, 105264521, 70248969, 67706453, 43573138, 110766261, 3962925, 60218234, 79870237, 22173503, 114835017, 18629613, 2904225, 74355201, 6373325, 35164341, 142381703, 26595740, 9314084, 1250663, 173943599, 36793706, 30217700, 14187457, 18596849, 25536434, 17994755, 7805551, 23424037, 43823009, 78707398, 78854301, 74719192, 15176598, 53692391 ], [ 24048299, 75324996, 9024081, 217515711, 33277103, 50587269, 81223123, 92093921, 134739930, 212447531, 33741451, 17470031, 162302188, 75666424, 137372159, 58384851, 7619152, 134271727, 5312691, 91072366, 29984501, 46042705, 49929162, 92952922, 142821452, 13176388, 26468430, 88225020, 76285612, 21147669, 90105736, 1583679, 33588870, 90961544, 22427269, 22598478, 85660278, 263074053, 31535672, 37153598, 161630182, 17280545, 66920984, 93323456, 114725056, 10151165, 16984205, 33027000, 212705378, 52133795, 26014536, 49228694, 67058111, 11660676, 98129014, 30363827, 130439128, 89197037, 14648640, 31897130, 44577929, 24647788, 33395442, 48164330, 758187, 8767110, 70797506, 208824473, 63046026, 11128502, 140177897, 94063515, 40382748, 105684183, 20588532, 205863018, 12803681, 62078491, 95255415, 10251915, 124110481, 97212073, 105240896, 45077948, 12184028, 23974405, 77153737, 103171910, 52984891, 73828439, 8403455, 353416830, 8702321, 19222845, 79091183, 44430424, 242640728, 15323433, 8006431, 9350717, 156622523, 72359983, 22173503, 18143679, 165357810, 28337482, 10328263, 194974320, 35164341, 81933308, 3673913, 156310713, 87194852, 13069568, 195534471, 17911957, 14187457, 166473420, 88814411, 51565532, 7805551, 76350134, 2220533, 28196801, 208043842, 44785241, 39011870, 59881781 ], [ 129763488, 97085922, 91521943, 117514230, 125013236, 7829423, 81223123, 219789550, 47429823, 17805889, 24742786, 40028156, 71615469, 75666424, 147782651, 192486098, 21336288, 78832740, 51287163, 138673085, 29984501, 18862324, 54507159, 34088334, 21710163, 16808175, 202725313, 36072359, 30067257, 21147669, 35615106, 226404623, 44581152, 91141172, 9919743, 22598478, 37182016, 1632677, 17640610, 87129943, 80414735, 95521682, 29588573, 197194410, 57015897, 5564078, 15905892, 29416730, 331134396, 140828493, 26014536, 7980156, 72630313, 109565665, 74241463, 27516421, 179471924, 8221730, 14648640, 35406099, 189633625, 124557456, 1273891, 42752385, 116175762, 152204219, 69275328, 3498867, 103297739, 43471904, 118927255, 104282797, 119224033, 71993994, 16156870, 41051523, 48982349, 36564773, 95255415, 100658489, 45404420, 6306853, 3450763, 70947961, 8841244, 23136344, 30589008, 143590005, 36523646, 17883369, 321638150, 7492623, 120418407, 56080106, 163961914, 93845942, 242640728, 43573138, 220643623, 148252258, 167931911, 127350697, 11205384, 114835017, 12463197, 134968746, 18658404, 3824292, 137929261, 137293499, 57870099, 24708084, 108892514, 104529413, 19785035, 77874438, 14187457, 75843076, 65373577, 20039741, 51505957, 173373389, 82627888, 62933219, 208043842, 35785716, 107025756, 97882522 ], [ 1420552, 22529708, 57791115, 14325490, 23680961, 7829423, 81223123, 93865114, 47429823, 68517060, 128587656, 102180824, 38943200, 75666424, 57273016, 44938944, 18518610, 103780702, 67004930, 4815791, 29984501, 183131299, 54507159, 34088334, 8151623, 47168326, 10281903, 116285500, 85673659, 21147669, 36291993, 50579299, 130629805, 370407950, 9919743, 22598478, 102069837, 286355877, 14547347, 1737148, 11142073, 237250053, 84751845, 67110770, 115079014, 3913329, 16984205, 13385404, 120005780, 14516404, 15967181, 58002015, 12789386, 67955405, 17366602, 29246001, 55492492, 21995498, 23757037, 186875839, 10098227, 21913093, 33395442, 3352587, 8090454, 129915462, 69275328, 3498867, 50326426, 27424776, 93913472, 113058868, 70439128, 42984620, 98328224, 43281580, 11894363, 36564773, 169109617, 26225179, 36363758, 35924575, 24766906, 8896746, 161742808, 23136344, 42129310, 34969278, 44423590, 73828439, 132295924, 7492623, 25151359, 19222845, 87586278, 998197, 5793792, 43573138, 159086638, 40722658, 57148532, 79870237, 3458219, 193680224, 17057710, 58838564, 26186589, 133419073, 35164341, 36831880, 45485088, 18816211, 1250663, 194919342, 93419607, 77874438, 3097991, 134744943, 28991702, 51565532, 34874407, 58363570, 142662399, 51892970, 4720411, 49757387, 34395922, 202311234 ], [ 6925873, 52693185, 113505080, 14325490, 363414, 13808474, 81223123, 43566995, 11338106, 3699546, 33741451, 17470031, 80618792, 37073471, 23609316, 10658908, 36090254, 1320109, 2426436, 73174022, 29984501, 28846158, 49929162, 34088334, 21710163, 3571107, 1324353, 46274253, 4139590, 9811063, 32318278, 9752379, 10956107, 38635371, 22427269, 22598478, 66556052, 35634331, 84598180, 41077346, 70644866, 17280545, 114412716, 15375500, 1309436, 5564078, 76710879, 71391622, 51302431, 140828493, 4878365, 5647933, 59671963, 67955405, 54058766, 10654555, 43914080, 6044690, 14648640, 31897130, 61606123, 21913093, 33395442, 17485048, 14845455, 9567324, 9199391, 12512447, 16321912, 11128502, 25442582, 41029784, 26179740, 60270550, 20588532, 41052102, 47343073, 46387480, 34323643, 19249411, 14393222, 5582910, 3450763, 45077948, 6924953, 23136344, 6180455, 34969278, 17355189, 43362227, 44984728, 74765455, 120418407, 19222845, 15727200, 75897377, 9904138, 43573138, 16667125, 26937213, 22953946, 22447868, 3458219, 33485543, 85420794, 10889695, 18467329, 18797407, 17305965, 28840007, 4867540, 113009671, 34900327, 9103766, 126475842, 2273975, 14187457, 212889168, 24346444, 22717768, 87973016, 46214329, 6566276, 20476368, 13813482, 47757635, 15170477, 8385885 ], [ 88543092, 8182231, 113505080, 115135124, 40924872, 42600000, 81223123, 55181886, 25044537, 7768292, 119367130, 55136879, 84520594, 69439694, 75439003, 65571115, 76141940, 143954271, 44708668, 28941804, 29984501, 46042705, 54507159, 34088334, 32404941, 43176167, 202725313, 19528142, 4139590, 6468675, 90105736, 30479417, 168067667, 10967976, 140483769, 9535753, 93550397, 90589342, 23174927, 26723723, 36108440, 39668587, 49905013, 19001606, 141293504, 10151165, 46963576, 26167072, 178936708, 52133795, 2550892, 87331021, 45328380, 49755262, 74241463, 2284701, 98932246, 6044690, 14648640, 82513676, 386062655, 3488798, 10055390, 48164330, 28367226, 74830968, 120064634, 148277650, 222297949, 11128502, 22704879, 79362433, 29657818, 59467860, 59374860, 109085950, 142157452, 62078491, 19353368, 7071017, 1842598, 99339, 24766906, 150209431, 132605470, 23136344, 42282500, 13271451, 52984891, 73828439, 103900077, 1976638, 23401976, 19222845, 61977063, 26154496, 9138577, 16829863, 27524355, 32328827, 30869059, 1317985, 22173503, 42464866, 29603894, 10148911, 18693703, 47540084, 35164341, 81377413, 31533926, 186792060, 27626080, 82428980, 205924210, 31218679, 9365050, 132187953, 162675306, 7393291, 7805551, 100076401, 17832662, 41144003, 104069106, 64087866, 54663602, 35772956 ], [ 6925873, 97085922, 91521943, 69290356, 43964340, 29709941, 37809297, 90474053, 11568794, 97669279, 104505092, 69354034, 162302188, 39175709, 57273016, 4605955, 7619152, 148363555, 80239011, 90190492, 29984501, 60790241, 49929162, 34088334, 142821452, 47168326, 33703884, 201226634, 16651970, 21147669, 182484876, 45632430, 19528989, 205357831, 22427269, 22598478, 62666360, 276635180, 86884185, 26723723, 36108440, 17280545, 68293873, 107806842, 87499964, 177867377, 8899107, 92755281, 7617318, 146691061, 26014536, 78724807, 127743487, 21139736, 26675367, 88368367, 75648262, 100229143, 24519009, 31897130, 22719135, 56202485, 8648145, 147899607, 758187, 74412992, 118868889, 244849689, 27209224, 11128502, 2275668, 105937093, 21953223, 66252439, 12064664, 32417806, 100173968, 100426720, 19353368, 73225126, 25160607, 77870115, 24766906, 12526503, 115229341, 12526600, 131190754, 99141108, 27037712, 73828439, 167459076, 187907263, 349461849, 121195975, 119176544, 5229812, 37119810, 43573138, 90706319, 148252258, 207298763, 30251826, 42410573, 50616358, 29603894, 2904225, 14934828, 46447386, 35164341, 94194490, 49678368, 74887546, 39978464, 13069568, 53668711, 31218679, 123359600, 130451123, 39902837, 51565532, 32182005, 27852660, 15840429, 45402403, 74621554, 117018129, 432061, 117196834 ], [ 24568957, 97085922, 113505080, 14393370, 43964340, 42600000, 81223123, 24077093, 11338106, 23905426, 150685462, 74243328, 71615469, 174118816, 220839074, 63370014, 48508368, 53013548, 27082, 138673085, 7083997, 444205204, 54507159, 34088334, 7184443, 247283699, 349706795, 254563789, 85673659, 147522623, 88277132, 17844472, 40719382, 19490018, 9919743, 630118252, 143094036, 133714604, 21086626, 26723723, 5498800, 159416284, 68293873, 124972417, 239972320, 163125415, 166347001, 29811000, 168788852, 84690885, 26014536, 61702174, 78451727, 38688233, 98129014, 151115724, 62931609, 104382147, 14648640, 82513676, 292477039, 13408362, 33395442, 48164330, 265757782, 136051993, 195796736, 12512447, 94420609, 11128502, 224436269, 237835329, 320181190, 12467909, 33384915, 364186989, 203320396, 62868176, 95255415, 74104424, 89500641, 167155196, 25419863, 20985205, 179762713, 23136344, 154484384, 143590005, 66114826, 134509992, 28854300, 7492623, 204823058, 2287244, 15727200, 10438490, 26063013, 43573138, 8006431, 63975941, 85507867, 23230623, 64410245, 69850695, 29603894, 41115445, 85449438, 21571738, 35164341, 43548880, 49678368, 152283894, 34900327, 54058096, 109141734, 31218679, 14187457, 182620491, 146705618, 44322097, 271186117, 234174744, 6464083, 46661621, 12114064, 83112910, 245942728, 8385885 ], [ 42188445, 37116659, 74676177, 74511019, 115289383, 7829423, 129549792, 71961339, 298048175, 58803798, 10278007, 74243328, 8799657, 69439694, 57273016, 45231480, 7619152, 78334860, 92585706, 107827319, 63525171, 144833982, 54507159, 34088334, 8151623, 21434280, 11006024, 42282152, 4139590, 10506185, 13940156, 23768020, 130629805, 26790661, 9919743, 13187698, 85660278, 34814590, 112844139, 26723723, 36108440, 124550739, 2411081, 124972417, 57221722, 105786459, 91975986, 145062040, 10609747, 85786520, 17362511, 35578335, 12789386, 17407851, 67858548, 10654555, 90633806, 7865970, 46565582, 142261518, 38154238, 46051379, 46580192, 65262583, 758187, 136310384, 64170319, 37008520, 50326426, 11128502, 65080746, 113353454, 104330210, 1548514, 20588532, 12140882, 98914017, 12140504, 43116733, 19249411, 283824684, 629887, 49073427, 50661755, 67502810, 23136344, 159759729, 143590005, 62169681, 73828439, 119485024, 7492623, 35881988, 19222845, 80013518, 5229812, 29218734, 43573138, 58607856, 118259672, 43060770, 89739627, 64410245, 269812410, 29603894, 85782824, 18467329, 88025806, 35164341, 67592629, 31533926, 151460377, 93898343, 52344982, 240354627, 226901, 123359600, 118586028, 2330532, 83135938, 106666320, 76350134, 42386113, 23116359, 349853773, 103122541, 54663602, 158189237 ], [ 74288109, 56680051, 43137173, 82213042, 78218248, 264675200, 47222934, 32888143, 47429823, 437778517, 98286111, 1616244, 40597288, 97544519, 208604984, 391505598, 378115762, 44778422, 54554525, 86346551, 28716252, 101959659, 54507159, 34088334, 131647794, 11909856, 147914446, 9297054, 4139590, 9811063, 3933660, 15233229, 40148963, 237773695, 9919743, 63142095, 85660278, 151477435, 53354759, 194479144, 122282160, 77763628, 88954935, 124972417, 20097980, 15134693, 46963576, 25134800, 127271481, 54615929, 26014536, 87331021, 149844787, 72821071, 74241463, 13802806, 75770217, 195371164, 14648640, 99788052, 219239, 51804664, 5220588, 43344770, 2613126, 137077539, 70439477, 12512447, 60730647, 11128502, 65080746, 112805286, 26179740, 18583904, 20588532, 9022882, 1375471, 71500726, 16528031, 19249411, 283824684, 341375847, 11914058, 90795094, 71345950, 23136344, 288450342, 143590005, 20536576, 73828439, 7890268, 7492623, 112610509, 19222845, 15727200, 5232805, 5674697, 34104171, 378958326, 30702354, 78099962, 22447868, 12279330, 132992065, 108598905, 60881301, 108972088, 21571738, 118933817, 95732118, 31533926, 152283894, 108892514, 132767123, 124921937, 26406378, 14187457, 135279616, 24346444, 2064916, 108504473, 25533915, 78709195, 34776743, 100576982, 20485487, 54663602, 82023210 ], [ 21192448, 37049060, 80749299, 74511019, 43964340, 7829423, 65653202, 117250155, 11338106, 111941412, 71450752, 23234758, 12711568, 29888653, 57273016, 192486098, 18518610, 44778422, 344032537, 1967362, 29984501, 7074422, 35710566, 34088334, 8151623, 90795550, 273758191, 8874972, 4139590, 21147669, 24677538, 48525486, 92420806, 19490018, 9919743, 4269090, 154444328, 1387174, 110155120, 23750176, 29972900, 1911310, 55027136, 22668122, 20220556, 43955257, 16984205, 87623488, 60031440, 138320468, 26014536, 37872620, 12789386, 67955405, 47110452, 28002194, 17500540, 6044690, 11163758, 40026291, 18163383, 55117670, 33261372, 173936168, 18499499, 91201031, 29707786, 20876282, 7445093, 11128502, 21032695, 113970692, 156246820, 12467909, 72557960, 38454805, 173831565, 52580062, 44841138, 19249411, 34174321, 51068483, 54821203, 5951189, 223397469, 23136344, 3632414, 143590005, 149029918, 30310893, 7890268, 7492623, 30136489, 19222845, 26139271, 5229812, 5674697, 20082573, 179738565, 30702354, 34106062, 44656418, 64410245, 50019746, 20352700, 134968746, 41347165, 12460925, 2458123, 32906236, 168782422, 152283894, 1250663, 42725679, 54283146, 31218679, 4778538, 9219250, 39902837, 18157408, 39880510, 67476139, 6464083, 226294482, 144500420, 31500636, 54663602, 8385885 ], [ 113659710, 2248874, 53380503, 4492083, 43964340, 38081745, 81223123, 2963064, 11338106, 57598194, 63894381, 12932150, 12711568, 75666424, 3782250, 15594252, 38982419, 25228228, 146682443, 57523743, 29848094, 13609287, 35806734, 244805851, 84389921, 117016792, 20603511, 46274253, 15008200, 21147669, 17851763, 30580668, 26626601, 12880190, 52865608, 22598478, 84792618, 19223089, 9985536, 92859541, 188043164, 30771711, 68293873, 11997696, 7150152, 55750092, 2142306, 29786130, 106295078, 34650908, 26014536, 56051631, 31024540, 67955405, 23663798, 10654555, 177760154, 25872559, 38478205, 17090967, 6293997, 55603114, 33395442, 15008321, 31323880, 4770883, 110304335, 20876282, 158975681, 11128502, 69976443, 41440769, 92135163, 132703814, 82436325, 17535400, 3490129, 71500726, 35290957, 88889098, 103602911, 51068483, 54821203, 26791723, 26850711, 77275988, 42282500, 10302683, 33873991, 15850384, 107951793, 1976638, 30136489, 2279026, 107740441, 5229812, 9138577, 43573138, 17408166, 8258553, 212637876, 79870237, 12046729, 112236543, 128715962, 108097665, 102658799, 36150303, 33247372, 8246687, 27637367, 124052215, 17980645, 42725679, 126226810, 30217700, 68755628, 33398595, 39902837, 11520981, 39880510, 63207095, 85358323, 78707398, 26256355, 64136228, 207702302, 8385885 ], [ 155654907, 52693185, 91521943, 74511019, 43964340, 14362489, 9932328, 130453420, 172185081, 314453549, 83669540, 12932150, 8799657, 43984272, 57273016, 21736456, 18518610, 44778422, 39005476, 56392526, 29984501, 46042705, 7966829, 34088334, 8151623, 46559750, 9823384, 61359642, 4139590, 3030186, 90105736, 48525486, 97960901, 18212595, 9919743, 15893949, 209660942, 33150335, 7212736, 92859541, 6617870, 13424672, 68293873, 15375500, 30200234, 28808001, 85158669, 54676401, 54142532, 91854571, 17004455, 37872620, 3231374, 30067172, 34095897, 12618545, 24442330, 7865970, 38357054, 186875839, 64474081, 3390562, 7777965, 107612091, 14845455, 47669613, 32002264, 116873020, 50326426, 11128502, 22704879, 104722467, 26179740, 4767710, 105578293, 5923135, 71512655, 71500726, 52221027, 1081391, 201731550, 2297877, 54821203, 93680837, 48737309, 23136344, 137394356, 134674203, 36523646, 15665551, 119485024, 7492623, 30136489, 19222845, 227162778, 5229812, 9904138, 43573138, 163625834, 8258553, 34106062, 9498304, 11205384, 18932796, 19451382, 4696912, 41347165, 35939812, 2458123, 94194490, 31216632, 24708084, 39978464, 22056010, 6357594, 6610407, 4778538, 9219250, 24346444, 22717768, 22936501, 91501237, 2653465, 16510963, 40782327, 78978218, 54663602, 81159617 ], [ 8392101, 51067736, 91521943, 205797377, 43964340, 42600000, 65861674, 2963064, 11338106, 168223804, 91754077, 12932150, 71615469, 50983761, 55534784, 103844434, 35635354, 44778422, 233447030, 22157281, 29848094, 251142170, 38156106, 34088334, 84389921, 47168326, 35728750, 61993387, 22297431, 21147669, 182484876, 14104276, 92420806, 186472244, 9919743, 28978786, 26161693, 125350875, 51648433, 21871514, 31274673, 123071213, 4528959, 22668122, 20220556, 55750092, 46963576, 29786130, 111660739, 85786520, 18547202, 37872620, 78451727, 28863318, 48527333, 21252220, 115139441, 84306054, 38357054, 79400751, 64124675, 16410045, 33395442, 136125164, 52369540, 136051993, 9199391, 11729070, 9998005, 8937545, 65127504, 248934252, 14400624, 78815504, 266395288, 10993229, 69710786, 71500726, 24397799, 1081391, 24154625, 33612121, 24766906, 78232377, 75252887, 23136344, 127657585, 63512104, 33873991, 30310893, 79797849, 7492623, 30136489, 19222845, 31335309, 5232805, 2837940, 35536884, 142714957, 30702354, 6496455, 9498304, 18592239, 64613109, 29603894, 4696912, 1311736, 43313435, 12821873, 52746721, 31216632, 141364771, 39978464, 31023677, 20138401, 31218679, 82120462, 9219250, 162226585, 12625905, 21759941, 2485405, 87110961, 57633198, 79733320, 113178185, 50635892, 8385885 ], [ 73278332, 29780506, 9024081, 96597209, 108041849, 12160093, 57164632, 118505913, 71474924, 16677736, 32186699, 15642840, 71615469, 61896739, 55628023, 63370014, 35635354, 78537317, 5312691, 126056959, 29984501, 34808410, 54507159, 34088334, 15072477, 23604150, 35628325, 31043805, 4139590, 9811063, 17851763, 30479417, 28190702, 30705108, 9919743, 22598478, 219908403, 49917506, 123466888, 37153598, 57987226, 15388715, 2746479, 40817484, 127724426, 10151165, 6524224, 127742387, 84387194, 40251806, 26014536, 37872620, 51243350, 17822883, 98129014, 10654555, 50167128, 46697041, 11163758, 58557296, 24428744, 42627051, 33395442, 6921616, 23802493, 51402350, 57995239, 11729070, 8109369, 8937545, 141411396, 42665823, 26179740, 20330484, 82436325, 120979174, 208791970, 22464142, 29617518, 19249411, 38633454, 629887, 25419863, 151467755, 12184028, 23136344, 4807707, 82443522, 66114826, 73828439, 37180498, 7492623, 23401976, 19222845, 15272083, 5229812, 20276681, 20716534, 92652638, 9350717, 34465906, 22447868, 1328670, 132992065, 100601120, 2904225, 41347165, 55492560, 127760065, 81377413, 31533926, 152283894, 15506915, 47257454, 109141734, 50231375, 14187457, 134045925, 24346444, 40693849, 7805551, 67476139, 17832662, 35781802, 177756543, 4746681, 8438163, 1734627 ], [ 293052782, 41675453, 43139594, 56381136, 43964340, 86127664, 81223123, 19518841, 148492239, 113450913, 151853792, 343617, 162302188, 69439694, 57273016, 12983464, 54904995, 13663342, 144845989, 131129715, 6925430, 145346425, 54507159, 24421164, 348000750, 149495243, 235643842, 31043805, 4139590, 9811063, 146702589, 80293934, 89693651, 339913092, 108427486, 105963045, 277657016, 64835390, 124978217, 63393415, 5540999, 230155709, 68293873, 22668122, 33962363, 181581527, 91975986, 145062040, 7617318, 58812563, 26014536, 87331021, 77197561, 30632642, 17366602, 13802806, 18783445, 141146869, 14648640, 98276767, 3042389, 119049155, 33395442, 48164330, 74114576, 132959887, 107754139, 13266863, 97546136, 11128502, 31437135, 100023229, 26179740, 60270550, 75103410, 26211148, 331949599, 25369199, 95255415, 19249411, 183494664, 629887, 54757914, 301204971, 64543768, 23136344, 229924757, 143590005, 136338861, 30310893, 75685024, 19209641, 30136489, 19222845, 53398557, 5229812, 9904138, 7490305, 220164286, 30702354, 149245757, 16886895, 64410245, 28107, 106305271, 136739244, 160122026, 131942409, 35164341, 94194490, 111169812, 344513851, 39978464, 1164866, 303024978, 31218679, 14187457, 134045925, 24346444, 83135938, 39880510, 160947918, 496410535, 78707398, 11770568, 224365826, 35388483, 109660677 ], [ 63235793, 25627318, 1971494, 8129169, 25910147, 7829423, 40798206, 47079157, 11338106, 51469511, 42493755, 58519521, 11184496, 35668681, 36634874, 8604885, 35576948, 21131625, 16111413, 138673085, 42503681, 1831677, 54507159, 34088334, 89940668, 16902891, 16674892, 46274253, 3816823, 21147669, 10058780, 25302855, 87671020, 39176812, 9919743, 7681264, 58180552, 12448949, 304248897, 26723723, 36108440, 7658704, 58433034, 18235135, 39853586, 53801875, 170764325, 49650678, 49410232, 42681308, 4605750, 86665551, 29352916, 12990666, 98129014, 96574815, 1681308, 6045037, 11163758, 108112636, 125640198, 48287149, 32921152, 7969807, 222165366, 23178414, 14835328, 20876282, 10875213, 11128502, 18298946, 2125718, 2585693, 58440304, 20588532, 5611701, 105757425, 88250247, 50104997, 19249411, 52527828, 15312094, 40525522, 14250187, 47247966, 23136344, 134580896, 71012109, 32125681, 185125374, 87160989, 7492623, 2224546, 7147071, 21767790, 65146730, 113461032, 43184542, 41608066, 11359762, 25234297, 79870237, 64410245, 2842731, 18629613, 64058906, 14861593, 43313435, 35164341, 13010805, 8198026, 16033231, 9660007, 75222315, 51752848, 1778507, 4778538, 9219250, 114234826, 22643413, 26880886, 18566907, 48791520, 10570262, 62547840, 340567, 30367010, 8385885 ], [ 115553475, 25627318, 69195406, 39781915, 5217271, 38081745, 3923817, 115053021, 30982979, 14650532, 11836062, 28429720, 8799657, 51589260, 36634874, 67671006, 44258547, 42060204, 29159332, 12230160, 29984501, 173712568, 36959058, 29924641, 71670348, 46559750, 9428168, 31043805, 3816823, 21147669, 17851763, 19817873, 87671020, 84314686, 9919743, 100200947, 58180552, 524586, 562100, 37153598, 104629883, 10259202, 93498736, 18235135, 39853586, 118299273, 97950163, 52325157, 84387194, 46277783, 26014536, 4856150, 265845257, 103495849, 36566679, 58746990, 111069396, 1805072, 7235728, 108112636, 73505781, 30767542, 33395442, 59464778, 47462977, 23458859, 40681939, 59124870, 186112159, 11128502, 168710654, 29769560, 2585693, 60270550, 180962970, 54185430, 304789851, 88250247, 113308867, 19249411, 78255223, 274083938, 103800004, 22349528, 11471896, 57343845, 93628475, 123070511, 97657349, 45315856, 1357031, 7492623, 12907474, 19222845, 29116927, 5232805, 49803073, 43573138, 120931723, 49422087, 15912158, 133026233, 60054095, 13618800, 21173172, 36869337, 46887196, 79723523, 35164341, 8549597, 26595740, 18245555, 108892514, 75222315, 51752848, 77874438, 66151131, 71272156, 19888394, 3923120, 43942944, 124045187, 46881726, 78707398, 124456633, 144915952, 54663602, 141524597 ], [ 11998956, 57170243, 20675186, 53684186, 125013236, 7829423, 23817956, 54228251, 47429823, 146809552, 20745359, 55136879, 44261417, 19170202, 23609316, 69899350, 44076939, 42060204, 65265282, 128972561, 20457119, 46042705, 54507159, 29905141, 101437440, 3680525, 16674892, 12665512, 3816823, 9811063, 32318278, 302234, 40148963, 6952233, 9919743, 41163899, 58180552, 90589342, 47056996, 28975200, 142825120, 39668587, 49905013, 40105775, 39598691, 72681927, 46963576, 5528881, 158281515, 46554062, 138755349, 91729022, 5217428, 24653830, 74241463, 13802806, 24442330, 6045037, 37915917, 16330527, 8142635, 97305873, 41935063, 7969807, 47462977, 17204876, 110304335, 20876282, 80335514, 11128502, 24161176, 71702004, 26179740, 60270550, 55101405, 45985737, 103388414, 148781934, 13309723, 19249411, 17213102, 35924575, 11914058, 80225269, 2044952, 23136344, 62842898, 97802999, 48669013, 128639937, 144903530, 7492623, 12907474, 19222845, 62289908, 5229812, 50393331, 43573138, 8006431, 32328827, 15912158, 22447868, 41300367, 14798229, 19451382, 6860316, 14861593, 123285151, 35164341, 94194490, 31533926, 138061995, 62702179, 132767123, 92857583, 1778507, 6292514, 2726960, 2560155, 3923120, 105648214, 18566907, 85358323, 76034099, 105485189, 7669582, 19155820, 38877002 ], [ 115515769, 37049060, 91521943, 74511019, 33277103, 19122126, 34444996, 47079157, 31816588, 214644407, 38036421, 71767952, 71615469, 120576052, 181688650, 97040366, 18518610, 148363555, 255411690, 62741305, 29356258, 193898925, 44976469, 101335941, 8151623, 73122796, 17218684, 149980366, 39718218, 21147669, 171385023, 70712698, 102358306, 19490018, 9919743, 91023192, 48222143, 23424155, 176793234, 109689335, 97275474, 121239191, 98787651, 42857986, 29750484, 37958412, 22487531, 49650678, 106295078, 45529521, 26014536, 161718813, 12789386, 49729699, 98129014, 19020446, 160075661, 6045037, 11163758, 142015545, 64124675, 163526627, 43978709, 7969807, 92444769, 240851362, 117692617, 71913506, 7743794, 11128502, 27757256, 117474587, 88897354, 12467909, 68690847, 51136416, 73825580, 152421007, 2480636, 28532639, 70737589, 76810185, 40525522, 163427705, 100957598, 29428397, 192082432, 65261005, 49868365, 205037107, 28854300, 7492623, 8702321, 23165546, 26139271, 5232805, 12258690, 14426585, 112670427, 6267468, 90727368, 79870237, 64410245, 81970409, 33082465, 67723193, 2331077, 9528068, 26093144, 39156272, 31533926, 32361956, 108892514, 58672491, 157498963, 71561743, 60428375, 9219250, 4246504, 94962878, 84041842, 63498054, 6464083, 39722141, 223441742, 37640331, 13486249, 35772956 ], [ 6411941, 157874990, 91521943, 74511019, 136245013, 153555460, 104434659, 10728620, 47429823, 130105926, 126123222, 74243328, 149162105, 103238697, 57273016, 18429975, 10545885, 13983601, 45008831, 23242567, 46330441, 143281997, 54507159, 3483270, 8151623, 1124982, 10281903, 105300430, 10403655, 21147669, 145809542, 62884607, 51423993, 127585456, 14234780, 55362925, 84016210, 13208849, 23580742, 64448995, 159555916, 21288678, 84751845, 6081311, 177427160, 5564078, 46963576, 116799643, 212705378, 86787225, 26014536, 87331021, 12789386, 67955405, 46245928, 23871470, 109524849, 57345974, 8223308, 46977691, 125640198, 66703717, 89451238, 74046888, 17090338, 23458859, 131606927, 167615967, 10875213, 10266812, 84929942, 7911615, 29657818, 272079305, 134527487, 29936313, 27684402, 153382927, 42791857, 26225179, 1842598, 176068714, 23792175, 45077948, 8841244, 80502063, 35835147, 57481323, 26360257, 73828439, 275755079, 19949359, 20417441, 19222845, 264493512, 28933106, 240193864, 16019845, 41608066, 81208466, 212491222, 37620547, 50865195, 50962653, 118955196, 150049881, 123136302, 26145033, 35164341, 112674842, 268863594, 47290638, 9660007, 259420844, 303024978, 77874438, 91789071, 29735987, 162226585, 20672213, 91769704, 46614757, 7835746, 78707398, 121786613, 186745014, 39011870, 31409485 ], [ 115515769, 97085922, 91521943, 218893519, 119583545, 19122126, 81223123, 10728620, 31816588, 77985592, 119367130, 50368910, 84520594, 154045893, 57273016, 130913996, 206066800, 125722950, 27082, 21641970, 29984501, 66223794, 44976469, 158196793, 15072477, 47168326, 252201699, 46833787, 4139590, 21147669, 98508259, 48525486, 15113505, 19490018, 61905387, 113298840, 48222143, 125350875, 23580742, 109689335, 158735679, 74514401, 155477841, 116766531, 14158715, 96005939, 46963576, 127497359, 216350281, 85786520, 26014536, 77222403, 31024540, 67955405, 74241463, 86751626, 179471924, 6045037, 11163758, 166853360, 64124675, 163526627, 33395442, 7969807, 180005608, 23458859, 10237728, 71913506, 16242110, 11128502, 123629503, 102620064, 104330210, 12467909, 80317814, 94449962, 142157452, 27336626, 52479638, 19249411, 38633454, 76039403, 24766906, 40302090, 75852891, 129848818, 136229820, 65261005, 148962878, 73828439, 28854300, 137414743, 18968144, 60048501, 143499141, 5232805, 26063013, 43573138, 120942694, 81208466, 25234297, 57329203, 64410245, 239834491, 83503572, 67723193, 30097089, 43313435, 26093144, 57046841, 31533926, 122466599, 267551335, 147019294, 31283056, 12788432, 63583366, 9219250, 104740689, 83135938, 97353530, 67476139, 6464083, 226294482, 302971614, 1832243, 13486249, 123716021 ], [ 69425260, 97085922, 83664605, 239526208, 136245013, 7829423, 81223123, 137301299, 74851581, 98884963, 126992149, 102180824, 71615469, 97544519, 124769759, 71167525, 306972761, 148363555, 748820535, 105735420, 29984501, 4012432, 54507159, 7251821, 71670348, 441828680, 16674892, 90377305, 4139590, 21147669, 32318278, 247786119, 93868441, 57775128, 9919743, 107832548, 277657016, 45447468, 562100, 349863971, 188043164, 13424672, 84011763, 300003032, 1351015, 64278868, 28175753, 136952360, 99249481, 223778508, 26014536, 85701027, 246096465, 468906171, 107033236, 221675253, 163969303, 195371164, 222604175, 15659086, 10098227, 96510512, 33395442, 201574570, 365422737, 21517781, 131606927, 128887914, 113750558, 23084815, 96681116, 115550342, 492514043, 60270550, 27303075, 99667754, 57788127, 42323640, 86746536, 17133547, 283824684, 103214486, 156336736, 74395674, 36522974, 23136344, 409554784, 143590005, 121733072, 45315856, 119485024, 7492623, 27308696, 7661843, 2624142, 5229812, 62058692, 43573138, 86353140, 231037275, 269178695, 189846345, 416551382, 290935703, 44397783, 246766272, 46887196, 56518322, 35164341, 94194490, 25399099, 152283894, 108892514, 42449850, 234334815, 77874438, 123359600, 29587007, 39902837, 83135938, 502667703, 58363570, 39575483, 78707398, 371795255, 128849213, 54663602, 202311234 ], [ 55954442, 26765619, 43761979, 4208636, 1259187, 7829423, 34444996, 103831321, 144835612, 67716484, 24175289, 57464752, 31932527, 90551491, 15046430, 63008251, 206066800, 96169304, 23118815, 40620308, 1549220, 35786872, 45201766, 6828228, 31517016, 40989572, 17558543, 31043805, 4139590, 115498493, 85262449, 25325385, 10956107, 19490018, 9919743, 55880537, 47044212, 11901413, 85970646, 8352151, 85422202, 124550739, 88954935, 10421108, 239972320, 38061360, 22487531, 36439258, 79187697, 83200726, 11554471, 87331021, 59671963, 67955405, 13909085, 21644263, 13335444, 104382147, 14648640, 3495917, 42143845, 29606807, 33395442, 48164330, 18108713, 22852793, 22249452, 15618885, 25329720, 11128502, 130907879, 104722467, 62134449, 12467909, 432979246, 116247650, 6162143, 14250812, 29617518, 19249411, 160852422, 114341789, 128664303, 90795094, 6313052, 23136344, 89682459, 125779475, 52040029, 73828439, 28854300, 7492623, 53375586, 19222845, 15272083, 70248969, 45585018, 1404637, 115403121, 57612447, 40915217, 15181059, 64410245, 81970409, 85420794, 6136708, 30097089, 43313435, 35164341, 18875456, 31533926, 152283894, 1250663, 14671571, 171178128, 12788432, 14187457, 9219250, 1588375, 57458150, 810770, 33183095, 6464083, 66143214, 12114064, 102896638, 54663602, 45757252 ], [ 55040201, 61688230, 91521943, 70998739, 33277103, 7829423, 13912681, 117250155, 47429823, 104730200, 144153300, 69354034, 4691642, 13949632, 48074799, 39070086, 35635354, 150590485, 29159332, 204843756, 27516842, 34808410, 54507159, 26701156, 31517016, 23604150, 13367256, 46274253, 36979083, 9811063, 32318278, 160901202, 124688148, 30579412, 9919743, 22598478, 59625208, 147997918, 9985536, 134078200, 57987226, 10259202, 98787651, 1004199, 7150152, 10914927, 14295383, 28538266, 89319743, 85786520, 204109361, 12651377, 39362456, 21139736, 74241463, 13802806, 179471924, 6045037, 37915917, 89729246, 68185028, 53608172, 33395442, 485589, 121969859, 4770883, 5690377, 20876282, 159914194, 11128502, 69659678, 104722467, 26179740, 11658000, 56481889, 26237843, 39663821, 98865996, 16064167, 108979105, 39196284, 28654178, 24766906, 140116245, 60151639, 23136344, 20297000, 22229852, 35901352, 73828439, 66873785, 7492623, 8702321, 19222845, 60854711, 5229812, 44055985, 15323433, 112405709, 8258553, 207298763, 22447868, 21893811, 112236543, 21748611, 14911725, 100143768, 7056005, 35164341, 48503409, 8198026, 10570381, 1250663, 194919342, 54283146, 13721683, 123359600, 2726960, 18050038, 7574241, 43942944, 21215426, 11333636, 23839818, 55241413, 43081569, 23861418, 88366879 ], [ 278947405, 97085922, 58936418, 74511019, 68797297, 7829423, 108092179, 59815771, 11568794, 158708634, 136486186, 48649131, 25226926, 31379857, 7507939, 4605955, 18518610, 139863810, 21654249, 56392526, 58969029, 46042705, 48133062, 34088334, 8151623, 180284399, 7304708, 31043805, 4139590, 21147669, 32277706, 8067203, 111420108, 121975279, 165203497, 22598478, 16464885, 111646838, 42175577, 36700884, 28638365, 10259202, 106445801, 22668122, 24894706, 164826086, 130174080, 23554704, 19880138, 2414303, 26014536, 38642219, 12789386, 21139736, 48090716, 34478100, 114607121, 57345974, 14648640, 15659086, 64474081, 23051941, 10055390, 48164330, 146809914, 42677988, 108695381, 21907393, 6029628, 10969044, 22704879, 93778652, 43998752, 60270550, 98752482, 69681164, 140259742, 6235430, 86434487, 7805821, 73122758, 10286821, 20229254, 26791723, 27279191, 23136344, 7112617, 33878282, 5784357, 30310893, 95172109, 52875576, 30136489, 19222845, 64562711, 5229812, 26063013, 43573138, 4455127, 32328827, 121518883, 29449738, 27030575, 604917, 105532976, 11873303, 14934828, 16737181, 18376199, 63829230, 3106214, 107252330, 34900327, 44661033, 162901039, 77874438, 4778538, 4956964, 37044677, 7574241, 39880510, 54314133, 15840429, 78707398, 71903452, 83112910, 25962945, 10498243 ], [ 21067187, 73957937, 40672129, 22543064, 136245013, 88044602, 17837375, 7320926, 47429823, 69172837, 108999823, 71646749, 84520594, 6129716, 23609316, 25966332, 21637467, 44778422, 36344461, 72920881, 5205167, 41601143, 28222504, 65539495, 4836413, 26784214, 251044939, 8516552, 4139590, 9811063, 3901026, 30479417, 105930807, 528225, 130064242, 100200947, 7728598, 13555557, 71706471, 88739097, 108687630, 39668587, 114412716, 50572303, 175894175, 37449118, 46963576, 134165668, 58222733, 85786520, 26014536, 10030682, 52730077, 24433719, 16043503, 13802806, 30673496, 8221730, 14648640, 92152567, 43117440, 10573887, 5599765, 47980771, 21223115, 51203744, 131606927, 9241123, 74811279, 11128502, 81048222, 68497086, 26179740, 12467909, 76814743, 29034, 2186367, 25369199, 16528031, 19249411, 45404420, 16004079, 24766906, 46075800, 71345950, 17838300, 167216255, 26532444, 20846534, 56359850, 15228439, 2933573, 112610509, 19222845, 117369863, 99397760, 9904138, 17534668, 46980226, 30702354, 13608585, 22447868, 48659214, 52793063, 9595164, 28282619, 52774061, 14557590, 49732190, 48503409, 8198026, 241573413, 34900327, 101871907, 14117719, 77874438, 14187457, 135279616, 24346444, 6405126, 108504473, 25533915, 6464083, 12797032, 38600946, 72304628, 54663602, 49707727 ], [ 14107149, 97085922, 91521943, 64170450, 92118925, 7829423, 17837375, 130453420, 134739930, 66749171, 22697464, 74243328, 84520594, 12576791, 57273016, 36941127, 124340353, 24857356, 31418221, 108731048, 29984501, 163633801, 16621108, 4431609, 15072477, 161545835, 103891994, 46274253, 4139590, 6468675, 3901026, 60010550, 13192576, 1422517, 130064242, 22598478, 85660278, 183533100, 42945998, 11058832, 5540999, 2773856, 90763939, 12103200, 91019674, 181581527, 16984205, 26167072, 178936708, 31194521, 26014536, 87331021, 75551064, 13392175, 16043503, 13802806, 179471924, 40797103, 14648640, 28463007, 16921009, 45391844, 33395442, 23951579, 90067415, 126029754, 16318659, 20876282, 26803841, 11128502, 53990024, 70641263, 26179740, 12467909, 9674566, 2718977, 135325922, 25369199, 95255415, 19249411, 55447212, 94223996, 113817328, 294603079, 128009434, 4610874, 38087537, 12997543, 123126788, 73828439, 28854300, 11086176, 52351213, 81743032, 55547071, 44916132, 2932513, 43573138, 8006431, 30702354, 126783323, 22447868, 64410245, 127795526, 31802712, 94484605, 114751747, 37357081, 39724473, 68911876, 31533926, 240288566, 8928103, 38065860, 39972636, 67803048, 9365050, 2726960, 24346444, 45817451, 20933357, 39880734, 6464083, 143928209, 42286470, 72304628, 43780037, 53816159 ], [ 2307919, 97085922, 31682715, 49501456, 25910147, 38081745, 21078126, 92093921, 11338106, 16677736, 19436251, 11021364, 172400118, 43984272, 98151237, 170166393, 36090254, 44778422, 65760058, 91072366, 47074302, 142843678, 52292132, 7726489, 15072477, 16157017, 16674892, 46274253, 998259, 62006546, 32318278, 149679221, 24847453, 30705108, 22427269, 25947818, 28888652, 11347177, 9985536, 36700884, 141958213, 14261, 114412716, 79753976, 45109329, 10151165, 76710879, 29330522, 66080525, 52133795, 4878365, 78162373, 15119195, 45244718, 31458084, 10654555, 177760154, 27561716, 66967279, 10237737, 32180173, 159461319, 100450945, 97926367, 94399801, 4770883, 110304335, 20876282, 6029628, 11128502, 65080746, 6038789, 79637443, 226086838, 105449809, 79537946, 162094443, 62078491, 139787410, 12573529, 34317290, 57361103, 118103993, 45077948, 43158043, 23136344, 17254436, 31119637, 36523646, 23627331, 119485024, 43474140, 23401976, 19222845, 111880864, 5232805, 2355038, 43573138, 18810067, 30702354, 66223400, 79870237, 11205384, 71747420, 18629613, 112277713, 31524604, 2028917, 35164341, 3674981, 19506101, 24708084, 17980645, 13069568, 88138403, 77874438, 11088054, 26257979, 88814411, 22717768, 7440492, 37972774, 919956, 22954088, 238915946, 141152380, 39011870, 8385885 ], [ 24568957, 73957937, 91521943, 25456909, 63596419, 133742872, 13110491, 89702447, 47429823, 69172837, 33741451, 6234330, 71615469, 51845718, 57273016, 53446104, 64993173, 69607594, 21332256, 10489749, 17088587, 17451712, 14157424, 34088334, 4836413, 27990894, 170375930, 263863927, 4139590, 9811063, 50069238, 19256234, 40351150, 120120523, 9919743, 22598478, 78191777, 142709332, 109868081, 120722159, 183551783, 95629138, 98787651, 41882169, 24402478, 112880814, 3890878, 33027000, 144900749, 44636849, 26014536, 43669082, 51243350, 21139736, 28204952, 10654555, 30242148, 134823790, 11163758, 116766472, 5110787, 24643627, 160475368, 48164330, 28099212, 11988064, 61880264, 109722322, 26803841, 11128502, 105672061, 54768859, 26179740, 44595354, 20588532, 88597037, 35711547, 62078491, 58722315, 19249411, 73652273, 70360465, 24766906, 73441397, 100527898, 23136344, 17314811, 31119637, 223189329, 73828439, 95172109, 7492623, 47854487, 19222845, 764587, 5232805, 27882060, 43573138, 114793140, 84337252, 39096807, 22447868, 26338059, 71747420, 10664629, 150049881, 10328263, 105955216, 68446203, 43897719, 342052023, 152283894, 34900327, 108941446, 39972636, 17911957, 14187457, 291321789, 24346444, 12372336, 10094996, 54314133, 69438142, 137156689, 178107413, 36941827, 54663602, 128907009 ], [ 50473785, 72891720, 58936418, 138674449, 89614408, 21294031, 182108133, 87779152, 42081744, 6572133, 61103616, 74243328, 61056094, 79596578, 7894273, 41574475, 36090254, 118754552, 33323390, 57674599, 51219801, 46042705, 54507159, 34088334, 11065696, 47168326, 1271261, 111161833, 36979083, 9811063, 47520385, 118197882, 122276761, 84314686, 8449349, 34447270, 85660278, 30595570, 17850699, 88645847, 188043164, 17280545, 8742330, 36020323, 140293622, 10151165, 46963576, 145062040, 109108533, 45329772, 14169246, 18535310, 28551907, 49755262, 2738498, 10654555, 9669120, 19744491, 14648640, 31897130, 43571885, 29606807, 26754289, 48164330, 113255260, 45927978, 90060050, 8461208, 6029628, 11128502, 123448692, 10054555, 26179740, 118429636, 8301896, 11067886, 687837, 101447966, 10845223, 32386552, 70737589, 131408174, 24766906, 127378231, 210145180, 23136344, 10289852, 49343003, 8856120, 25966059, 189849881, 29312532, 20532104, 19222845, 764587, 5229812, 11187082, 43573138, 3814559, 32328827, 207766617, 9886112, 22173503, 127573895, 71881091, 19909213, 33040150, 173650624, 35164341, 87503740, 22496294, 26827882, 93898343, 13069568, 24842932, 34397934, 14187457, 135803269, 24346444, 126668035, 7805551, 4039477, 7194354, 78707398, 47505272, 189323683, 101640432, 59175905 ], [ 34451488, 97085922, 213557621, 382796916, 136245013, 143782622, 34444996, 115053021, 212813808, 108619262, 113396741, 12897912, 160386022, 177384777, 22090208, 39070086, 35635354, 102060070, 212393974, 138673085, 48757041, 30895666, 45201766, 117605892, 93047836, 200747968, 16674892, 46274253, 85673659, 69757012, 10147561, 9752379, 130629805, 258223117, 126871329, 171320336, 62428483, 62587298, 82956858, 10359410, 154258459, 61582227, 56599538, 97674379, 152366056, 8738751, 115922021, 204926856, 601072100, 190731536, 26014536, 38680821, 51243350, 81020660, 98129014, 28456575, 3093796, 217411507, 11163758, 27780615, 64474081, 35379752, 89098394, 36769191, 25872681, 9567324, 6600, 20876282, 36603489, 653198, 47738403, 18300819, 144387996, 11856924, 177618837, 54185430, 393620540, 4232416, 68080993, 253122328, 5989126, 12515124, 102286175, 133862971, 32908317, 158250553, 239846926, 143590005, 51205941, 164174615, 119485024, 194630, 17842279, 19222845, 62289908, 5232805, 16990973, 43573138, 167337870, 22205311, 90727368, 564717371, 48659214, 207540529, 80291893, 36643396, 125331544, 18029310, 35164341, 194648859, 26152720, 201298714, 3314149, 184240215, 218974928, 8925779, 60428375, 135739122, 19888394, 118754640, 87973016, 58256826, 85358323, 4241466, 183176331, 95588817, 183648095, 122000319 ], [ 52744845, 75324996, 72970506, 74511019, 136245013, 48019938, 387875338, 76074762, 119218474, 147255641, 42522121, 38819351, 61308600, 117679936, 158455150, 269083074, 18518610, 4961308, 5312691, 128972561, 69861726, 391449519, 54507159, 34088334, 8151623, 198161853, 13003503, 24293114, 36979083, 9811063, 29994925, 4276608, 73482447, 232435781, 9919743, 146057435, 118469328, 117497237, 163467739, 98233767, 213743451, 30692901, 98787651, 97674379, 239972320, 72681927, 21942498, 5528881, 38040781, 13912018, 27794976, 67928995, 12789386, 188350636, 78902563, 13802806, 19594764, 57345974, 412715695, 110657150, 67965733, 97305873, 166247101, 31651261, 130954103, 112392273, 6600, 20876282, 25593769, 11128502, 11606031, 119196528, 26179740, 6787830, 25363201, 81563329, 163064927, 71500726, 32621649, 132820768, 190911815, 13755812, 93224471, 56682344, 12184028, 23136344, 490201738, 13271451, 48669013, 55331510, 25901517, 194630, 17842279, 19222845, 23705725, 103694152, 9904138, 43573138, 38844250, 30702354, 56615439, 22447868, 62152304, 25339270, 51663966, 42055225, 160122026, 62486712, 35164341, 8113340, 336091420, 96419578, 75688550, 15844133, 100454660, 8925779, 22628002, 5217714, 24346444, 94962878, 105648214, 255784141, 85358323, 78707398, 204588871, 56817706, 88696024, 89208573 ], [ 92342668, 75324996, 20808527, 15365901, 129629157, 7829423, 81223123, 10728620, 86166459, 60470620, 33741451, 28429720, 7668629, 40754281, 19807975, 41794532, 28758042, 35210160, 5312691, 83169594, 29984501, 32090228, 44698635, 16439853, 21710163, 3571107, 118123650, 19528142, 4139590, 9811063, 10147561, 25499364, 33588870, 47027716, 22427269, 18914570, 277657016, 94981046, 23580742, 194479144, 11142073, 17280545, 84011763, 17925071, 45483235, 124693170, 96064311, 33027000, 92826717, 52133795, 26014536, 34919595, 45328380, 51072326, 17366602, 13802806, 163969303, 9172162, 11361291, 17090967, 215185179, 116552131, 11447161, 4886012, 1540000, 110997002, 40160651, 51238909, 63046026, 11128502, 65080746, 18300819, 26179740, 60270550, 211690891, 51136416, 52492171, 60945208, 42791857, 12573529, 18134146, 170054266, 199087020, 18073851, 12184028, 13172975, 20297000, 143590005, 45167366, 25413000, 1357031, 9952316, 20417441, 19222845, 79091183, 5232805, 47946239, 27672590, 71666638, 32328827, 30869059, 22447868, 37542637, 74029025, 85273809, 10148911, 102721528, 18029310, 35164341, 39156272, 26152720, 113044932, 3314149, 13069568, 54283146, 77874438, 123359600, 29735987, 12884468, 2957551, 26725647, 37227739, 27573745, 78707398, 136348263, 44785241, 33560528, 20795764 ], [ 103383037, 27876300, 113505080, 80487212, 90407784, 7829423, 28045903, 10728620, 31816588, 69456438, 151853792, 7287072, 7434452, 50091355, 4846642, 26238577, 4953191, 66878156, 81957653, 46032413, 29984501, 30895666, 15394990, 9848620, 101437440, 6921575, 147914446, 31043805, 4139590, 57243592, 10147561, 48525486, 130629805, 336899114, 2548674, 30563558, 123178465, 125350875, 1307364, 10359410, 87950260, 37545360, 98787651, 7298211, 276105144, 72681927, 46963576, 5528881, 84387194, 25064732, 26014536, 87331021, 39673329, 51072326, 55289039, 34775875, 46567795, 164215030, 11163758, 91369099, 27861743, 97305873, 33395442, 43088685, 26182144, 8717758, 10076911, 12152265, 100041228, 83448209, 19094705, 18300819, 21024664, 60270550, 37582260, 116247650, 142157452, 34323706, 1552751, 19249411, 37545014, 413618163, 24766906, 157927451, 4626969, 23136344, 1709984, 121434428, 48669013, 35370332, 119485024, 7492623, 53375586, 41413921, 26139271, 5229812, 5674697, 43573138, 272014843, 34000922, 146751926, 31755361, 83920720, 28666453, 72897046, 36643396, 14861593, 43313435, 32211393, 94194490, 99087512, 152283894, 108892514, 132767123, 24229527, 1778507, 14187457, 3150545, 39902837, 83135938, 1539155, 18566907, 85358323, 39389127, 93788094, 224365826, 54663602, 45507856 ], [ 6925873, 97085922, 57332646, 74511019, 32784099, 42561139, 41532827, 41655514, 47429823, 16677736, 11836062, 40028156, 71615469, 39175709, 57273016, 134780463, 18518610, 27292263, 38219176, 12230160, 188368336, 42680527, 49257403, 91592187, 8151623, 43176167, 49385758, 39720231, 4139590, 21147669, 10147561, 117599007, 130629805, 111923324, 9919743, 75232070, 34025130, 24554342, 19176062, 5414511, 106461189, 59337308, 49905013, 124972417, 52111773, 181581527, 46963576, 106313447, 212705378, 85786520, 26014536, 87331021, 12789386, 52772735, 74241463, 34775875, 51457282, 844102, 65830877, 37539156, 405868219, 163526627, 45694954, 30078803, 116175762, 32473621, 100139302, 69035520, 6005507, 5419388, 65080746, 18300819, 104330210, 1839938, 7722635, 121958796, 27912658, 153382927, 68080993, 19249411, 41445570, 12515124, 24766906, 23507974, 228060825, 34246299, 122076125, 12331265, 92783822, 57914762, 119485024, 7492623, 26452070, 19222845, 20286424, 5232805, 113461032, 43573138, 276337150, 43667118, 269178695, 166446956, 46124803, 36786239, 19937624, 58838564, 201370146, 45230482, 18682798, 156960360, 25024181, 88436661, 108892514, 31420260, 224862907, 77874438, 31717533, 85320347, 6556908, 83135938, 261755563, 76350134, 919956, 35781802, 4801673, 120708607, 39011870, 41313697 ], [ 50473785, 22529708, 40672129, 66718259, 119583545, 42600000, 5481880, 10728620, 9830850, 203110530, 111594686, 61471504, 71615469, 110375111, 82691050, 18076017, 35635354, 50208565, 29945449, 23242567, 1549220, 33240531, 13717670, 117605892, 65411949, 47168326, 10281903, 64536951, 50960855, 21147669, 10147561, 70712698, 130629805, 19490018, 9919743, 23372866, 48222143, 125350875, 23580742, 14017762, 36108440, 74514401, 46271218, 93667746, 87376626, 30626675, 45977162, 75061991, 214247494, 3728851, 26014536, 10030682, 39673329, 28863318, 74241463, 29246001, 22738627, 84306054, 14648640, 175494556, 64124675, 163526627, 25374110, 42752385, 77097147, 25610046, 40160651, 11729070, 25329720, 8937545, 127216809, 18300819, 104330210, 12467909, 146791791, 28364330, 93634146, 130470956, 19353368, 64889486, 49030490, 33612121, 24766906, 39914296, 83700764, 23974405, 206098179, 65261005, 61788003, 204523110, 28854300, 7492623, 77572742, 19222845, 88072660, 168653519, 137587005, 43573138, 74867952, 68055126, 6496455, 28210224, 64410245, 201299699, 29603894, 67723193, 2331077, 3824292, 32211393, 118739418, 31533926, 60309211, 34900327, 40931007, 158375120, 66124152, 14187457, 9219250, 152824457, 34438843, 32182005, 126712521, 6464083, 78707398, 1473536, 17981361, 57156642, 71454489 ], [ 82816544, 13262061, 91521943, 66718259, 3377640, 7829423, 5481880, 41655514, 30025992, 8729936, 11836062, 61471504, 84520594, 110375111, 108284402, 31653922, 16975223, 109218945, 5312691, 42877873, 29356258, 24691208, 54507159, 5971639, 3411669, 47168326, 16674892, 31043805, 4139590, 9811063, 10147561, 11282436, 37924836, 19490018, 25861083, 18914570, 48222143, 904925, 123466888, 49588790, 63158363, 48769291, 99684469, 124972417, 75406942, 126519084, 2142306, 33027000, 27658597, 52133795, 26014536, 7980156, 6903960, 51072326, 74241463, 10654555, 75770217, 6044690, 14648640, 34379776, 35213388, 163526627, 11447161, 4081438, 28367226, 8767110, 40160651, 11729070, 94420609, 8937545, 22704879, 18300819, 26179740, 12467909, 33384915, 116247650, 31159805, 11807115, 3261094, 3400982, 70737589, 6306853, 24766906, 134714793, 12184028, 23136344, 32312309, 13832127, 93880636, 73828439, 28854300, 5193768, 18179967, 19222845, 15727200, 5232805, 47946239, 14280183, 147136638, 118259672, 37460249, 18668538, 47315927, 18143679, 3717721, 42055225, 1030147, 21571738, 26894823, 1468227, 31533926, 141848495, 71461604, 58672491, 12780855, 77874438, 4778538, 9219250, 24346444, 20039741, 42277244, 18698354, 6464083, 35781802, 196700153, 67233881, 54663602, 48756787 ], [ 34451488, 97085922, 21173329, 277387486, 118069772, 7829423, 81223123, 231886951, 248123826, 16677736, 111594686, 74243328, 31083144, 13920403, 57273016, 440431024, 26127475, 108190808, 327061145, 131129715, 29984501, 59778755, 54507159, 89722927, 186710977, 163246600, 22853199, 31043805, 19995754, 21147669, 10147561, 9752379, 67136954, 19490018, 9919743, 107832548, 52868871, 130448927, 36982943, 26723723, 36108440, 124550739, 98787651, 96170059, 176724542, 159340643, 84757146, 67712415, 84387194, 85786520, 26014536, 87331021, 39673329, 28863318, 98129014, 383540158, 179471924, 39648938, 35880287, 251624407, 123106573, 163526627, 33395442, 63422891, 213648870, 9567324, 40160651, 57702952, 94420609, 223631, 214460585, 18300819, 16268261, 12467909, 432979246, 116247650, 31656095, 26997845, 24397799, 146209604, 201748414, 12515124, 14834384, 253669414, 228253980, 73523227, 192082432, 65859679, 74453127, 73828439, 28854300, 7492623, 53375586, 94201388, 103334957, 5229812, 47946239, 43573138, 87520238, 108053240, 92747471, 79870237, 64410245, 15381447, 29603894, 5937249, 74355201, 183843504, 35164341, 94194490, 31533926, 147207118, 108892514, 143204687, 54283146, 56154074, 142519476, 124134633, 39902837, 89356042, 87973016, 67476139, 6464083, 35335042, 97987349, 191493016, 373491954, 158189237 ], [ 19340756, 36494378, 91521943, 53684186, 38747350, 1319852, 34444996, 18434910, 31816588, 75481112, 119367130, 55136879, 71615469, 34762456, 60931390, 11534976, 35635354, 242885902, 61256591, 173704246, 274219147, 105272853, 45201766, 34088334, 84389921, 47168326, 113211200, 170876808, 34996821, 9811063, 10147561, 8194509, 1745845, 19490018, 9919743, 41163899, 28206469, 39566957, 58347541, 15027481, 22800162, 79448387, 6715803, 14539178, 39598691, 10914927, 22487531, 28538266, 236871568, 85786520, 26104170, 66215490, 6903960, 19236379, 74241463, 13802806, 62455482, 71019915, 14648640, 114944152, 143442418, 35379752, 116555158, 34955791, 40208692, 34639356, 40160651, 59124870, 30422587, 11128502, 127216809, 18300819, 26179740, 11856924, 108418818, 116247650, 3694189, 43168004, 44841138, 64889486, 164075455, 51068483, 24766906, 34525020, 78734427, 14097842, 143989921, 13832127, 7489815, 73828439, 28854300, 7492623, 46605346, 19222845, 11456281, 47942916, 30418358, 43573138, 22629451, 136464398, 6496455, 6227883, 37114493, 51432934, 9530250, 85782824, 90566367, 43313435, 7958284, 92632129, 31533926, 97672295, 90432353, 68599799, 12780855, 13721683, 10218410, 9219250, 1231057, 34438843, 42277244, 67476139, 6464083, 78707398, 136348263, 22863090, 185868633, 123716021 ], [ 26167352, 37016039, 91521943, 76633906, 136245013, 7829423, 8269977, 34842381, 9830850, 57903620, 119367130, 227486839, 651688, 95306033, 143295301, 47815017, 35635354, 10250157, 6150042, 2379434, 10200923, 3905476, 45201766, 1333810, 92008897, 117016792, 10281903, 31043805, 36979083, 9811063, 10147561, 80298806, 73482447, 269462737, 13834425, 2039506, 56163086, 58838146, 58347541, 195558929, 87950260, 37945067, 32890320, 91780413, 157947925, 5564078, 44525528, 33182577, 84387194, 85786520, 26014536, 87331021, 51243350, 51072326, 68762402, 13802806, 75648262, 153839312, 11163758, 41974907, 61606123, 2672366, 34900825, 36769191, 45454837, 79262582, 40160651, 3934247, 166901979, 21013368, 47738403, 18300819, 26179740, 6787830, 20368369, 116247650, 48982349, 114601212, 1864216, 27824878, 49030490, 23570206, 42215109, 140116245, 8841244, 23136344, 61441404, 21325421, 61788003, 73828439, 94868360, 168472220, 12245469, 6362173, 20286424, 5229812, 18601785, 17269515, 71896245, 310801574, 61104428, 5069508, 42410573, 110663910, 165357810, 136739244, 113204229, 2028917, 35164341, 67142518, 26152720, 109796449, 3314149, 40931007, 74442245, 8699484, 17784397, 36215336, 24225395, 34438843, 247674633, 44399610, 87110961, 76730657, 114221937, 90904020, 62078915, 56086659 ], [ 293205515, 13262061, 20551867, 153649706, 136245013, 29709941, 81223123, 10728620, 47429823, 34479009, 151853792, 7287072, 84520594, 357957578, 57273016, 2978913, 35635354, 148363555, 36161704, 138673085, 29984501, 7191698, 44698635, 34088334, 21710163, 47168326, 16674892, 3724588, 44592370, 147417639, 10147561, 48525486, 111407, 91141172, 241101718, 107832548, 123178465, 270005686, 9985536, 94668052, 11142073, 74514401, 301610627, 124972417, 239972320, 10151165, 8899107, 145062040, 327659103, 85786520, 26014536, 38120401, 17070917, 49755262, 17366602, 10654555, 177760154, 365832674, 11163758, 90923096, 22719135, 15946766, 33395442, 194060702, 180005608, 4770883, 10076911, 273570904, 82022741, 11128502, 84929942, 18300819, 23078481, 92646941, 34106109, 121958796, 142157452, 155786492, 176502829, 108979105, 85742346, 629887, 24766906, 122887002, 210145180, 23136344, 69146842, 13832127, 36523646, 73828439, 41389283, 300829785, 23401976, 19222845, 97838497, 5229812, 56470513, 43573138, 28667688, 107851903, 330889465, 64147911, 22173503, 7688973, 148393413, 72811206, 30097089, 31765215, 35164341, 94194490, 26874402, 101313002, 17980645, 194734734, 44613512, 12788432, 10218410, 23640189, 39902837, 22717768, 7805551, 100173499, 211105208, 78707398, 349853773, 33481920, 6416480, 158189237 ], [ 42188445, 20135817, 91521943, 78528427, 136245013, 21081361, 87241302, 157886384, 109934610, 156219993, 151853792, 6951828, 71615469, 65401774, 110703301, 63008251, 9235168, 148363555, 51287163, 2174876, 69861726, 137688615, 54507159, 3483270, 31098762, 163246600, 7304708, 46274253, 4139590, 21147669, 10147561, 170420334, 6195173, 82212308, 9919743, 22898958, 49746869, 197098878, 9985536, 46544419, 41108585, 29663867, 10948853, 85521233, 57368460, 69915208, 1852328, 142169227, 48088906, 41229576, 26014536, 8049892, 51243350, 31113768, 8519388, 28456575, 75770217, 160682160, 11163758, 42573310, 224814213, 139925894, 160129628, 16491797, 12808681, 4770883, 58856836, 403912, 4992415, 11128502, 7991766, 18300819, 65767606, 60270550, 33384915, 30108769, 21526573, 52704067, 162442206, 19249411, 67673902, 35924575, 35379814, 58295499, 32908317, 23136344, 43086049, 116872425, 60868490, 73828439, 191962791, 7492623, 25832841, 14377699, 15727200, 5229812, 33930366, 3240417, 159342348, 165684175, 118121765, 41179543, 47315927, 44022206, 19614707, 6136708, 47583747, 21571738, 35164341, 15164867, 31533926, 94352821, 1250663, 67802023, 224862907, 77874438, 47784467, 135279616, 37044677, 83135938, 43942944, 67476139, 43727282, 4241466, 86005800, 2330188, 4450784, 37390572 ], [ 48319627, 25627318, 10590528, 30637130, 1259187, 48019938, 60053269, 64711383, 16075267, 43240855, 126856013, 59684513, 11184496, 204155282, 15046430, 64744781, 7869822, 102060070, 29159332, 56392526, 58969029, 4012432, 45578680, 32251323, 71670348, 47168326, 33382862, 11659241, 4139590, 9811063, 7667555, 71571057, 63338930, 58495579, 130064242, 68676119, 62597736, 13704278, 182399285, 57103513, 50758034, 10259202, 163948363, 53333722, 127724426, 72681927, 46963576, 5528881, 66183954, 27008163, 11554471, 87331021, 55729082, 49539256, 2219404, 13802806, 22877542, 9884510, 84750060, 26751473, 42143845, 48287149, 38504136, 17485048, 25872681, 20897347, 26030485, 12512447, 21700668, 11128502, 22704879, 93778652, 26179740, 60270550, 33384915, 69681164, 47389696, 4232416, 66360060, 17133547, 5989126, 26621193, 24766906, 52686374, 33774110, 19810342, 41358624, 6219643, 31261653, 31631278, 89650984, 52875576, 43353329, 19222845, 15727200, 5229812, 86321716, 35405968, 24143532, 158890012, 30869059, 22447868, 64410245, 25231044, 95500772, 60881301, 36849268, 21571738, 35164341, 13010805, 76200431, 202764009, 72306659, 3160277, 63195640, 64125756, 3207842, 236890, 5548202, 7574241, 810770, 33183095, 17832662, 16510963, 333147, 118641671, 54663602, 158189237 ], [ 48319627, 65168007, 13991602, 31312792, 1259187, 7829423, 312298763, 70379777, 243346324, 99246300, 119367130, 61471504, 86848865, 116400506, 5343175, 459816052, 161037901, 88427150, 306595071, 128972561, 75296911, 46042705, 54507159, 34088334, 25667255, 117016792, 16674892, 46274253, 4139590, 188821227, 32318278, 127626275, 156572504, 137523319, 240362676, 180270267, 184549058, 175444902, 85970646, 66137729, 38921735, 3051396, 244459280, 124972417, 16800486, 126088946, 22740728, 5528881, 106526601, 32080094, 26014536, 87331021, 161036725, 49539256, 13909085, 42350777, 179471924, 66324518, 14648640, 37539156, 152255043, 97305873, 76979551, 48164330, 124951231, 27518875, 110304335, 20876282, 21291350, 11128502, 212586490, 133732512, 62134449, 16783369, 64458260, 29962433, 234830334, 10766247, 3261094, 12573529, 283824684, 272876358, 275729877, 21248758, 44399837, 23136344, 52326417, 45723755, 18515095, 73828439, 29046168, 13295999, 181336563, 19222845, 264493512, 70248969, 49803073, 28262010, 235760165, 32328827, 253657022, 59675640, 64410245, 28666453, 165357810, 16243678, 19570961, 7617984, 35164341, 5177954, 43458299, 203504414, 53697892, 225287492, 192544334, 77874438, 14187457, 313606102, 248102192, 83135938, 32182005, 33183095, 85358323, 78707398, 166571306, 1832243, 54663602, 43117011 ], [ 158676252, 8182231, 13184479, 2470043, 1259187, 7829423, 81223123, 107743209, 92465473, 72957943, 22907577, 6605689, 20993071, 49972221, 7894273, 63008251, 40855158, 1320109, 5312691, 12230160, 29984501, 183131299, 21952611, 34088334, 22592917, 43176167, 16674892, 46274253, 4139590, 21147669, 32318278, 9752379, 40148963, 58495579, 9919743, 8917354, 3361707, 5093986, 67138295, 36700884, 27851172, 127431486, 65963880, 4834082, 37033709, 1403991, 50097665, 104970199, 79187697, 78224680, 26014536, 12569559, 82749098, 67955405, 6594206, 28456575, 55492492, 18254727, 14648640, 37304250, 123106573, 78041800, 33395442, 36341297, 65053851, 9567324, 57995239, 3498867, 50687245, 11128502, 53852711, 104722467, 54122281, 3573302, 8233690, 105663217, 32003280, 36564773, 44841138, 12573529, 54988874, 46523739, 4271136, 16630170, 12184028, 23136344, 31846907, 96286230, 18515095, 25591598, 34884036, 7492623, 56619802, 19222845, 15727200, 44333352, 50727531, 4147600, 137496705, 1000860, 113821545, 40558765, 54599133, 40998147, 31826721, 42055225, 30097089, 21571738, 35164341, 118052943, 51061099, 12577707, 22799841, 39670993, 41831832, 12788432, 14187457, 9219250, 4630472, 41859472, 47528981, 33183095, 7194354, 694193, 85131705, 4746681, 53733015, 120635486 ], [ 224005689, 3789037, 13184479, 31312792, 1259187, 497774472, 378175832, 77614849, 238178006, 71013518, 3134393, 217325263, 129613109, 12265261, 15046430, 220550354, 105084046, 95068538, 51287163, 68515208, 155403820, 238376316, 88558924, 38418940, 21710163, 1794133, 144260059, 291657273, 67213595, 16836045, 146702589, 118197882, 39255008, 395835474, 151914209, 21381525, 122829624, 53687140, 154911428, 203969199, 141065837, 156700567, 4528959, 1120881, 40028627, 1403991, 323896863, 43060329, 30595349, 63692003, 142149179, 87331021, 47894154, 72821071, 211747804, 34775875, 67244684, 29756775, 66967279, 96586250, 201390655, 163526627, 166247101, 260919412, 113507562, 107235388, 125181367, 121142618, 17798266, 105551475, 65080746, 64570389, 341852518, 135189228, 155037034, 41768460, 32003280, 63985327, 202824160, 91302664, 90161010, 197372642, 74513617, 192292680, 8181405, 84700060, 38520287, 106287599, 136862620, 73828439, 91110175, 300829785, 92676371, 3227593, 7296770, 70248969, 97094170, 35405968, 110766261, 67418016, 272953570, 215830309, 28064888, 45604251, 18629613, 87379177, 139771717, 55115842, 23647135, 174829021, 54476006, 240288566, 130058598, 187161487, 93419607, 176823406, 82120462, 236685347, 32022769, 51565532, 3765842, 33183095, 18817578, 62255495, 30144140, 119969017, 184056270, 72211212 ], [ 95730979, 85613307, 13184479, 100302753, 1259187, 38081745, 81223123, 118341417, 30982979, 32692853, 119367130, 28429720, 11184496, 115652510, 15046430, 138251013, 124109778, 148363555, 29159332, 35054864, 29984501, 19866882, 54507159, 34088334, 233434600, 117016792, 8292921, 82582567, 85673659, 18419991, 175520791, 14104276, 40148963, 119910149, 9919743, 151089342, 65108091, 13704278, 27158700, 109689335, 110115520, 10259202, 98787651, 124972417, 56922905, 126088946, 22740728, 76968667, 14468355, 412914782, 26014536, 87331021, 246096465, 67955405, 98129014, 86751626, 179471924, 214864105, 177356704, 37539156, 17639151, 3251124, 33395442, 80842483, 124951231, 18807736, 40681939, 146382436, 175938558, 11128502, 17076219, 93778652, 14400624, 30813733, 12105143, 69681164, 179762463, 104504093, 113308867, 79559230, 67281933, 341375847, 11914058, 21965173, 94396060, 23136344, 192082432, 43392546, 138509747, 73828439, 1357031, 7492623, 233500432, 19222845, 68169066, 5232805, 49803073, 43573138, 34881830, 122662315, 207472463, 79870237, 60054095, 280626480, 55555169, 108006668, 102658799, 43313435, 32857505, 63829230, 26595740, 28372938, 108892514, 132767123, 147692189, 77874438, 28659810, 4263372, 162226585, 7574241, 810770, 67476139, 87110961, 11059668, 208043842, 144915952, 134187739, 141524597 ], [ 36165227, 40757083, 14916627, 27543629, 21263892, 7829423, 108092179, 7316703, 1518615, 22808873, 136486186, 61471504, 11184496, 157446524, 49382248, 71167525, 18518610, 148363555, 36161704, 29461190, 33094361, 50687754, 54507159, 27873250, 8151623, 31664441, 212983963, 2566108, 4139590, 68414272, 23682946, 94146601, 28190702, 56535168, 93282730, 113259301, 115529790, 12448949, 277371146, 37153598, 85422202, 149196458, 175215195, 2734985, 61379940, 90281729, 22740728, 5528881, 103623451, 19770089, 26014536, 7635835, 12789386, 28922729, 17366602, 10654555, 48212736, 15770687, 14648640, 15659086, 54981963, 42485636, 44960964, 21942070, 37868488, 27518875, 107754139, 142246769, 45413410, 11128502, 9941816, 41029784, 137409740, 28358421, 146429509, 64315384, 19107564, 83060934, 50338537, 1081391, 283824684, 19377587, 51414657, 67433929, 7835358, 23974405, 6180455, 134674203, 48669013, 132584519, 120813096, 262747325, 26591430, 19222845, 43431043, 42826111, 49803073, 14243366, 46178442, 3962925, 9590558, 9498304, 44141303, 25752147, 80779588, 2904225, 102658799, 47574653, 2458123, 34263153, 31216632, 192574244, 47260902, 181294108, 115069051, 2273975, 14187457, 4263372, 36100775, 8232945, 43942944, 67449074, 142662399, 20476368, 69848780, 74719192, 10803804, 53692391 ], [ 1420552, 73957937, 40672129, 27543629, 136245013, 150788008, 77529405, 157075643, 47429823, 79002220, 77442753, 57464752, 48679717, 172514935, 22985604, 258624813, 44076939, 48905963, 145452590, 257544775, 69861726, 323406807, 54507159, 34088334, 103702717, 47168326, 9141117, 49144857, 16651970, 21147669, 92691441, 19256234, 130629805, 53225456, 7461596, 107832548, 65501446, 172767987, 9985536, 194479144, 108687630, 51285469, 98787651, 41882169, 39853586, 181581527, 3890878, 145062040, 123076790, 15061888, 49359802, 10030682, 67622091, 13554292, 53534476, 34775875, 90733568, 153839312, 14648640, 48708882, 273038756, 163526627, 71604022, 41536077, 125315560, 4770883, 131606927, 121142618, 131831804, 417808, 37140029, 128499382, 2585693, 139746332, 9674566, 25607188, 35621264, 25369199, 16381851, 64533298, 158750746, 35924575, 24766906, 112291989, 7835358, 23136344, 62842898, 34766411, 81221332, 31510836, 77828072, 7492623, 163190649, 19222845, 20286424, 5229812, 134214648, 43573138, 83396779, 29403743, 141122054, 194543441, 57453237, 44707646, 37761538, 84270002, 98755393, 54998635, 8011989, 94194490, 29863925, 18245555, 17980645, 75222315, 269228986, 77874438, 14187457, 33512734, 39902837, 94962878, 91179017, 277962867, 37426293, 78707398, 260298957, 72407566, 34395922, 45757252 ], [ 297616339, 25627318, 42492388, 80487212, 136245013, 7829423, 60053269, 64711383, 38287591, 168223804, 119367130, 12897912, 71615469, 94426647, 36634874, 71297951, 76141940, 358417988, 108875799, 128972561, 11820343, 46042705, 54507159, 34088334, 71670348, 82412900, 305878810, 325756812, 4139590, 14046842, 7667555, 14104276, 130629805, 123689752, 9919743, 68676119, 153287457, 49505583, 82956858, 57103513, 110115520, 13424672, 98787651, 53333722, 214349941, 10151165, 178269265, 5528881, 104537074, 55932329, 46464767, 87331021, 181712640, 49755262, 2219404, 86751626, 22877542, 49122919, 133579435, 37304250, 142815883, 96510512, 150359432, 240335432, 150167009, 51542511, 363638550, 205867464, 21700668, 11128502, 91834406, 93778652, 4286791, 34062318, 17586368, 69681164, 129678338, 88250247, 113927333, 19249411, 206468708, 26621193, 93224471, 128901016, 44399837, 19810342, 134580896, 45723755, 48669013, 12361836, 89650984, 7492623, 23401976, 19222845, 149741669, 5229812, 50727531, 43573138, 61738332, 22205311, 458518823, 115583993, 22173503, 25231044, 165357810, 108006668, 36849268, 291330493, 35164341, 10207744, 27387646, 141364771, 108892514, 186619100, 114365883, 77874438, 123359600, 4263372, 36293308, 83135938, 7805551, 277962867, 48791520, 78707398, 62547840, 166270172, 16026912, 62348241 ], [ 2892377, 147695857, 91521943, 26799884, 1259187, 120073303, 78995092, 44996736, 35439503, 16677736, 33741451, 39101763, 31932527, 97544519, 175535, 63370014, 10545885, 58008113, 81248732, 91072366, 30855667, 35786872, 54507159, 9683852, 15072477, 16039031, 60375896, 27929371, 98197725, 21147669, 88277132, 19256234, 10956107, 6952233, 115003938, 41163899, 49579131, 2362921, 118631898, 194479144, 26448647, 7658704, 63004085, 41882169, 39598691, 10151165, 3890878, 33027000, 135856042, 52133795, 11554471, 2004812, 59671963, 49755262, 53534476, 22274848, 42397331, 21699071, 38478205, 99788052, 42143845, 134600227, 13545691, 29729804, 82186586, 75272141, 7930758, 9161073, 154041387, 11128502, 24161176, 22207588, 81383019, 164270970, 105449809, 78424220, 13850065, 62078491, 72596379, 26225179, 20037001, 8458128, 24766906, 33996742, 49939543, 6751879, 103379690, 6219643, 121733072, 41232400, 78572977, 15589574, 23401976, 52896087, 66625498, 14346587, 70105474, 43573138, 22583067, 104335650, 24868546, 79870237, 22173503, 2842731, 85420794, 304684911, 2867946, 58570577, 8011989, 17299405, 19902972, 95470352, 61554785, 14671571, 30401519, 77874438, 4285659, 33512734, 84983974, 11520981, 7805551, 33183095, 6566276, 35781802, 190695833, 14739088, 39011870, 4643354 ], [ 81768555, 97085922, 91521943, 31312792, 1259187, 75060300, 5481880, 126781789, 90495852, 404183342, 151853792, 60970584, 11184496, 131844808, 15046430, 101784802, 18518610, 174360386, 67004930, 56392526, 274219147, 36231912, 54507159, 34088334, 8151623, 43176167, 141286325, 5410299, 96924582, 21147669, 98652088, 148166158, 130629805, 62330610, 9919743, 68676119, 49579131, 13704278, 27158700, 49588790, 11081450, 285211262, 88147083, 124972417, 222415398, 72681927, 93413578, 5528881, 158281515, 188558602, 45055183, 35913558, 12789386, 176361582, 17366602, 10654555, 177760154, 6044690, 14648640, 37304250, 158797920, 46481541, 166247101, 48164330, 28367226, 84629003, 69275328, 3498867, 50326426, 11128502, 22308748, 93778652, 43998752, 118429636, 20588532, 69681164, 162094443, 36564773, 95255415, 167507113, 212200573, 130192952, 93224471, 45077948, 129104218, 23136344, 192082432, 143590005, 48669013, 82618993, 91110175, 7492623, 170575126, 124127201, 68169066, 70248969, 241640004, 43573138, 338155350, 63975941, 231684417, 79870237, 64410245, 33373381, 125055623, 86689220, 6372954, 16737181, 35164341, 137293499, 77079650, 152283894, 93898343, 186619100, 87990128, 77874438, 14187457, 4263372, 53494524, 94962878, 105648214, 33183095, 301423057, 78707398, 12114064, 168906882, 39011870, 158189237 ], [ 167708959, 13262061, 31489282, 71371754, 99500377, 69366484, 52035445, 10728620, 31816588, 69172837, 111594686, 58141178, 71615469, 13920403, 60931390, 2938367, 68076701, 148363555, 5524917, 138673085, 17088587, 183131299, 27542228, 34088334, 4836413, 43176167, 7304708, 71402711, 4139590, 21147669, 50069238, 5892132, 13192576, 102851051, 7603521, 121188832, 16958417, 52916695, 23580742, 7122117, 86791439, 74514401, 98787651, 14539178, 39039705, 43832946, 46963576, 45625550, 27658597, 26018692, 26014536, 86665551, 17070917, 28863318, 26675367, 30363827, 103045746, 46697041, 68601867, 6610976, 226305033, 24647788, 17234646, 4081438, 143703728, 23458859, 69275328, 3498867, 60730647, 8937545, 30997187, 41169411, 104330210, 11856924, 137897006, 82463818, 26633138, 36564773, 10845223, 19249411, 8213627, 33612121, 24766906, 45077948, 43412957, 12526600, 4519966, 116548344, 17291259, 73828439, 59711014, 7492623, 77572742, 19222845, 103895466, 5232805, 35212484, 6371671, 25313656, 81208466, 19106965, 6227883, 16192010, 15381447, 165357810, 54363018, 52774061, 43313435, 96387823, 68911876, 31533926, 16284884, 108892514, 24390536, 66486379, 77874438, 47784467, 9219250, 26782976, 19595242, 4631896, 204490051, 42249333, 39389127, 65274928, 101436366, 39011870, 48756787 ], [ 297616339, 90161977, 74388759, 52262630, 136245013, 38081745, 174061410, 99774050, 11568794, 58819725, 151853792, 61471504, 35578353, 75666424, 61784651, 4605955, 124340353, 78097557, 33323390, 138673085, 74617857, 204617165, 54507159, 108777113, 71670348, 180284399, 16674892, 46274253, 4139590, 21147669, 32318278, 130652369, 36743817, 392336050, 9919743, 22598478, 85660278, 94981046, 20088130, 194479144, 44288010, 7658704, 54049957, 124972417, 55221919, 120559850, 93413578, 113887543, 48579815, 20409292, 26014536, 87331021, 21138343, 42624056, 98129014, 30363827, 162733706, 26083446, 142362620, 17090967, 186510897, 24647788, 80522060, 57173112, 116251828, 157672751, 101831917, 20876282, 143366853, 11128502, 30997187, 115550342, 214073558, 11856924, 8301896, 103898806, 65833966, 156856293, 80030389, 19249411, 270545623, 341375847, 11914058, 94155543, 100146968, 39375536, 172479042, 28151729, 79455945, 45315856, 41389283, 7492623, 78426205, 19222845, 133625491, 62454713, 49803073, 43573138, 6461659, 67418016, 376421936, 254786948, 56859134, 2842731, 165357810, 230079519, 14934828, 80062725, 12821873, 63829230, 191162870, 42708721, 108892514, 87957829, 40424233, 13997662, 18317822, 650190585, 125689619, 33024985, 43942944, 76350134, 15840429, 16510963, 113887119, 144915952, 54663602, 64625230 ], [ 138896749, 175982834, 20551867, 56381136, 90407784, 66122324, 34444996, 10728620, 31816588, 74127723, 111594686, 74243328, 8799657, 180831198, 284188391, 39070086, 291415130, 29437317, 36161704, 73721539, 63525171, 126670852, 45201766, 125399238, 84389921, 46559750, 204154873, 31043805, 4139590, 6847388, 104329566, 94146601, 22705191, 181329930, 77008103, 45112119, 209660942, 64835390, 23580742, 94668052, 100507853, 26317362, 303872333, 119511733, 133202078, 138190253, 115922021, 147311502, 84387194, 85786520, 26014536, 35578335, 17070917, 28863318, 62202479, 40664892, 179471924, 7865970, 68601867, 90923096, 192823254, 35379752, 118450694, 14707594, 74114576, 23458859, 131606927, 62063889, 27053691, 11128502, 30997187, 148214483, 104330210, 11856924, 156134626, 226360470, 65833966, 25369199, 24397799, 13066107, 80116042, 51068483, 40525522, 85106042, 5979292, 155174923, 71541590, 65859679, 243904434, 193750488, 73453993, 107962630, 53375586, 19222845, 20334439, 5232805, 20231667, 43573138, 41613335, 75880629, 90727368, 81177762, 64410245, 112236543, 63336951, 44092943, 2331077, 87905953, 35164341, 192731599, 31533926, 13017199, 270186213, 60938067, 192461523, 9524705, 60428375, 43063736, 22244656, 83135938, 173842184, 167929751, 42386113, 64718535, 133947135, 102896638, 54663602, 123716021 ], [ 224415304, 75324996, 20551867, 74511019, 84104608, 168197060, 138825044, 10728620, 185617510, 57824102, 42522121, 38819351, 71615469, 61896739, 31725910, 51959001, 18518610, 69607594, 5312691, 2379434, 97659573, 183131299, 54507159, 34088334, 8151623, 163246600, 30639148, 44688490, 4139590, 21147669, 90105736, 4276608, 13852429, 19490018, 9919743, 22598478, 66556052, 206894540, 12077891, 194479144, 69400331, 74514401, 98787651, 52687771, 239972320, 181581527, 166347001, 145062040, 103560104, 85786520, 26014536, 8049892, 10411787, 165173119, 62202479, 151115724, 75770217, 57345974, 111588770, 90923096, 192823254, 46481541, 13545691, 6921616, 1958271, 23458859, 9199391, 12512447, 50326426, 11128502, 30997187, 22207588, 104330210, 12467909, 29826967, 76258876, 84094160, 90102240, 1864216, 19249411, 76332171, 629887, 54757914, 233629753, 12184028, 23136344, 21296331, 21325421, 63726084, 73828439, 25901517, 7492623, 77572742, 19222845, 15727200, 5229812, 63753642, 43573138, 203174720, 63975941, 204287087, 151466435, 23399406, 25339270, 165357810, 42055225, 30097089, 21571738, 26093144, 48503409, 8198026, 96419578, 108892514, 15844133, 49127354, 12788432, 55263645, 134045925, 39902837, 51565532, 260806339, 183431080, 6464083, 81277898, 12114064, 117329377, 13486249, 158189237 ], [ 11282156, 97085922, 91521943, 15220548, 30900285, 7829423, 52035445, 5949103, 47429823, 58819725, 19971613, 74243328, 71615469, 13920403, 1886773, 2938367, 18518610, 44778422, 17160070, 56893036, 69861726, 77405193, 54507159, 17013855, 8151623, 20503570, 4794933, 46274253, 4139590, 18419991, 104329566, 1452202, 112337106, 33701811, 9919743, 83263277, 140274632, 166902930, 4750402, 101321538, 14710611, 10259202, 98787651, 84396464, 39853586, 29604117, 46963576, 5528881, 14820136, 85786520, 27794976, 87331021, 10411787, 94779736, 2738498, 12221867, 109339373, 26083446, 38478205, 37539156, 10098227, 387779, 17234646, 12197004, 1958271, 23458859, 110304335, 20876282, 18592237, 11128502, 30997187, 41169411, 2585693, 11856924, 336150885, 52573266, 44553678, 6856116, 117836891, 19249411, 35219218, 90939348, 24766906, 26408615, 23731864, 23136344, 21296331, 50140543, 48669013, 43626435, 98676570, 7492623, 8702321, 19222845, 131320178, 5229812, 9904138, 15323433, 62458232, 22389531, 208196055, 35997001, 64410245, 15381447, 36734763, 4327419, 46887196, 116476913, 35164341, 15133383, 31533926, 18245555, 38001506, 21497376, 49664995, 71561743, 24931361, 106352367, 39902837, 7574241, 4631896, 58363570, 85358323, 12797032, 65274928, 101436366, 54663602, 33148723 ], [ 161162372, 92878456, 54054364, 43797775, 78218248, 7829423, 47222934, 10728620, 47429823, 101904155, 31583567, 74243328, 71615469, 69439694, 263905039, 46389157, 7619152, 4769597, 54554525, 131129715, 97304613, 171774177, 54507159, 34088334, 14533353, 47168326, 273758191, 31043805, 222112498, 81662827, 148577784, 70712698, 23937603, 19490018, 9919743, 29029864, 28888652, 113532398, 23580742, 109689335, 166290902, 74514401, 98787651, 109708325, 81047454, 181581527, 6524224, 17972909, 84387194, 40548519, 26014536, 69687429, 51243350, 28863318, 19560718, 61782148, 179471924, 164215030, 8909090, 123626732, 35918504, 51804664, 163733495, 32744536, 758187, 81564991, 112297180, 107369238, 65801535, 11128502, 186226892, 42665823, 104330210, 12467909, 76814743, 67053694, 142157452, 137166049, 19353368, 17583369, 334235957, 413618163, 24766906, 183263655, 293533211, 23136344, 32068275, 143590005, 45258410, 21760900, 28854300, 7492623, 53375586, 13831322, 264493512, 5229812, 47946239, 43573138, 46980226, 67048535, 207472463, 393659935, 64410245, 133462230, 21870948, 129128171, 160122026, 43313435, 35164341, 94194490, 31533926, 51741633, 108892514, 194919342, 53975140, 77874438, 221657, 9219250, 39902837, 94962878, 28594756, 277962867, 6464083, 78707398, 16655760, 479985656, 57156642, 52679264 ], [ 24175356, 13262061, 91521943, 85945439, 58912814, 55101922, 38425931, 41655514, 47429823, 14650532, 31583567, 40012971, 71615469, 21748381, 53353564, 2938367, 76141940, 10053466, 14248063, 12230160, 29984501, 116153520, 52292132, 15707363, 15072477, 43176167, 17558543, 79585245, 36979083, 9811063, 145809542, 35171608, 112337106, 172107152, 9919743, 29029864, 51787378, 33485590, 20088130, 36700884, 9724369, 142169151, 43390070, 31817963, 109967989, 10151165, 46963576, 71391622, 28791263, 40548519, 26014536, 63870605, 12086014, 49755262, 58053849, 13802806, 55492492, 72342911, 14648640, 111443055, 41515455, 91737262, 10055390, 32744536, 125315560, 23458859, 107312399, 201743485, 4426774, 11128502, 30997187, 41169411, 26179740, 23540961, 20588532, 67053694, 66406866, 28730863, 95255415, 17583369, 10855329, 46523739, 24766906, 53292684, 29456346, 23974405, 17585257, 34969278, 173823503, 73828439, 34740851, 7492623, 23401976, 19222845, 61536432, 118982496, 84694111, 43573138, 3814559, 79203661, 22953946, 22447868, 13704708, 42464866, 15798931, 58838564, 182413386, 157041591, 24370742, 145389589, 60361613, 49867687, 34900327, 150549431, 3875981, 7337558, 221657, 9269092, 8302596, 19595242, 4631896, 67476139, 70631460, 23433388, 113887119, 76035656, 7013744, 12517399 ], [ 24568957, 13053654, 9024081, 36890775, 125013236, 118160217, 77529405, 49062442, 25968269, 151014343, 108793299, 55136879, 71615469, 132571893, 57273016, 14760740, 51625117, 1320109, 51287163, 58509762, 29984501, 46042705, 54507159, 14779042, 4155465, 12564057, 119357120, 31043805, 36979083, 9811063, 1572077, 35303239, 37599071, 90961544, 9919743, 47578456, 71870895, 52916695, 53354759, 92336763, 112270271, 39668587, 49905013, 80620595, 141293504, 72681927, 16984205, 5528881, 27658597, 26018692, 26014536, 87331021, 67622091, 67955405, 26675367, 11735842, 62931609, 34742023, 14648640, 6610976, 41515455, 36211929, 10055390, 4081438, 35286264, 23458859, 65857522, 20876282, 60730647, 11128502, 30997187, 3453250, 26179740, 11099609, 18865190, 282743088, 26633138, 19606683, 76316761, 8890834, 45762368, 23948815, 24766906, 61310584, 44399837, 12526600, 143989921, 45723755, 34164230, 55513661, 49707664, 7492623, 35881988, 19222845, 125769058, 5232805, 2355038, 6823891, 114793140, 9350717, 120270938, 22447868, 60899828, 33373381, 125381541, 16293796, 19338823, 116187027, 11261624, 133629150, 29863925, 61523681, 108892514, 44376343, 23536374, 13526684, 14187457, 40624775, 24346444, 7755034, 53923074, 9601057, 85358323, 68612437, 157921455, 71410598, 42261887, 18448002 ], [ 24568957, 38167608, 91521943, 29979719, 136245013, 42600000, 81223123, 17585786, 25044537, 158402497, 43350785, 74243328, 71615469, 1441478, 57273016, 13141523, 35576948, 21131625, 328397628, 80553799, 22805599, 35198386, 48133062, 34088334, 186710977, 153732195, 25770133, 191235517, 36979083, 9811063, 43789112, 5892132, 111944417, 102851051, 9919743, 22598478, 89979232, 147988897, 53354759, 26723723, 36108440, 112277313, 11947319, 18235135, 102532329, 181581527, 91975986, 145062040, 94612090, 147982748, 15383545, 86665551, 180534881, 67955405, 98129014, 13802806, 179471924, 104382147, 14648640, 141504479, 41515455, 24647788, 32921152, 48164330, 294026722, 137077539, 131606927, 155491848, 21364041, 11128502, 30997187, 2125718, 26179740, 126691931, 61216899, 172141045, 167560863, 43735364, 90084471, 140724751, 76332171, 23948815, 9350790, 22349528, 47247966, 23136344, 192082432, 25613246, 35901352, 73828439, 89869824, 7492623, 172579750, 19222845, 141771750, 5229812, 26063013, 43573138, 25313656, 63975941, 132894586, 22447868, 64410245, 132992065, 29603894, 115582686, 100143768, 199328976, 35164341, 94194490, 49678368, 35473449, 31593570, 132767123, 142409670, 77874438, 14187457, 164871754, 24346444, 51565532, 3737873, 67476139, 27714288, 78707398, 12114064, 83112910, 3606992, 18448002 ], [ 35045781, 58637137, 91521943, 53684186, 125013236, 69366484, 52035445, 7341564, 16075267, 81188546, 138048563, 55136879, 8799657, 43618328, 23331017, 2938367, 76141940, 148363555, 51287163, 56392526, 29984501, 41483532, 45578680, 34088334, 15072477, 46559750, 79243473, 75995835, 4139590, 6847388, 145809542, 9423297, 8772614, 19490018, 7603521, 41163899, 140274632, 90589342, 23580742, 190266233, 78523311, 39668587, 54049957, 38809696, 39039705, 10151165, 46963576, 103204773, 160857595, 16255500, 15383545, 35578335, 72630313, 49755262, 74241463, 87103583, 60774219, 4698523, 14648640, 27143142, 137469791, 45156843, 33395442, 48164330, 189214701, 23458859, 131606927, 71913506, 60730647, 11128502, 22704879, 41169411, 36268364, 12467909, 56088204, 144098951, 92099294, 56397332, 95255415, 19249411, 45762368, 629887, 24766906, 331726517, 100146968, 23136344, 71982284, 65859679, 52984891, 148005474, 28854300, 69409271, 23401976, 132389174, 103034664, 48594798, 64182862, 6371671, 72877237, 32328827, 138193814, 15201803, 17693913, 114835017, 15798931, 112277713, 102114607, 93866529, 35164341, 68911876, 50712194, 11162120, 82641380, 142761435, 228487856, 9524705, 14187457, 57047011, 3198598, 19595242, 4631896, 124192045, 6464083, 32117276, 208043842, 8130319, 30919033, 5189790 ], [ 91375704, 40814059, 91521943, 148294583, 136245013, 7829423, 3430408, 117353129, 31816588, 191454114, 23414985, 69723297, 16948464, 13920403, 51402461, 14760740, 5900885, 148363555, 25920463, 6082631, 29984501, 99561417, 7097485, 78457523, 15072477, 455495, 26468430, 5586714, 31044159, 21147669, 49928655, 70712698, 29973563, 19490018, 9919743, 22598478, 89979232, 48303051, 58347541, 21528292, 125121146, 237250053, 82273553, 25683259, 7150152, 9452418, 46963576, 23503598, 42823446, 59498353, 26014536, 3206680, 91093532, 21778984, 34066122, 10654555, 53809827, 500064, 21144590, 117068974, 8089930, 14572170, 33395442, 160754148, 77097147, 8767110, 2235822, 20876282, 23333317, 11128502, 27213168, 104722467, 1721996, 5038325, 18865190, 58786684, 137722478, 141959182, 49381587, 26225179, 151075811, 328312510, 4921097, 77888265, 77254106, 12088459, 4519966, 34969278, 14372534, 69120244, 12334747, 7492623, 23401976, 602559, 58432547, 177986462, 21590727, 43573138, 119786801, 28940685, 31953348, 6474960, 22173503, 15381447, 79147676, 58271000, 76288279, 7617984, 35164341, 24606751, 18101972, 117837458, 34900327, 24390536, 48731992, 37495361, 82300461, 9219250, 162226585, 34438843, 1819671, 10996978, 6464083, 67571402, 11217605, 248547638, 52134026, 9886214 ], [ 135304059, 97085922, 91521943, 52262630, 25910147, 69366484, 52035445, 130453420, 115785471, 71013518, 151853792, 17470031, 4691642, 307610120, 50053741, 2938367, 21637467, 1320109, 99311669, 94984989, 274219147, 46042705, 54507159, 34088334, 79409986, 289001347, 260788543, 2566108, 15008200, 9811063, 90105736, 240602391, 22359969, 172107152, 219899874, 107832548, 85660278, 19138461, 53354759, 32364581, 11142073, 31823268, 108788244, 26612374, 56922905, 6648083, 434731071, 31228094, 49583467, 125216422, 26014536, 72247099, 51243350, 41555435, 22373149, 13802806, 162803235, 6044690, 11163758, 17090967, 135158366, 91737262, 118450694, 48164330, 28367226, 8717758, 110304335, 20876282, 60730647, 11128502, 61554195, 12631605, 26179740, 92646941, 20588532, 77200325, 100297601, 56397332, 76316761, 13066107, 334235957, 240350028, 55190355, 530528102, 48897944, 23136344, 192082432, 143590005, 52984891, 73828439, 43582548, 74765455, 180641377, 19222845, 60854711, 5229812, 20231667, 41781258, 34881830, 32328827, 143980384, 22447868, 64410245, 88710090, 18629613, 246766272, 62693356, 271146820, 35164341, 94194490, 62589560, 16746158, 135784036, 194919342, 240354627, 77874438, 14187457, 117962999, 24346444, 708645, 4631896, 67476139, 1622103, 30294394, 21004699, 50344104, 14633591, 53692391 ], [ 19594632, 34383241, 40672129, 18520017, 47287515, 49829016, 69987444, 41655514, 28628523, 14141334, 23414985, 58141178, 66378872, 13949632, 17075894, 79205732, 15359907, 115646117, 28428123, 7746017, 17088587, 32527896, 54507159, 548401, 4836413, 455495, 7868675, 37650521, 15008200, 9811063, 50069238, 30479417, 29973563, 121226155, 9919743, 41163899, 27252679, 55837967, 8572098, 13522019, 35463597, 7658704, 54791706, 124972417, 3540397, 54705972, 96064311, 11190101, 7617318, 13809418, 26014536, 8049892, 12789386, 21139736, 62917277, 13802806, 69399563, 500064, 68601867, 17090967, 41515455, 5865201, 10055390, 7525681, 32124798, 64501574, 110304335, 20876282, 1067378, 11128502, 27213168, 90571967, 26179740, 23540961, 18865190, 14124872, 84094160, 46560242, 72091683, 26225179, 47164747, 48006655, 35507848, 45077948, 60151639, 23136344, 4519966, 34969278, 74453127, 770313, 90594670, 7492623, 35881988, 19222845, 53228453, 26346947, 9723978, 26937902, 34258158, 116978336, 123855180, 6227883, 64410245, 2842731, 64151107, 14180180, 30097089, 7617984, 106621987, 914881, 8198026, 61557958, 34900327, 24390536, 18401340, 12788432, 51580199, 9219250, 6185422, 7677963, 1819671, 54314133, 30280500, 10077332, 55241413, 10577838, 26467366, 10384455 ], [ 63235793, 32114180, 23443125, 66978882, 1259187, 7829423, 31405276, 112408125, 207574851, 53988238, 23011739, 74243328, 8799657, 36925752, 7894273, 79205732, 18518610, 38602143, 44708668, 6868206, 34747054, 194185315, 45717717, 34088334, 1830157, 3571107, 194162404, 75995835, 4139590, 15112262, 78104164, 103803032, 130629805, 169626572, 9919743, 27766486, 3361707, 116325235, 116903778, 49583705, 35463597, 45206211, 98787651, 124972417, 98242667, 43832946, 17594619, 21619622, 64951926, 46346968, 26014536, 8049892, 12789386, 64061774, 52479423, 34775875, 84336555, 7865970, 14648640, 103803552, 56427146, 48287149, 38504136, 7525681, 25872681, 152204219, 40681939, 38070839, 36603489, 11128502, 22704879, 2579604, 27602223, 60270550, 20588532, 116247650, 21526573, 4232416, 95255415, 12573529, 131425628, 629887, 48352524, 26791723, 66958238, 181121, 57394539, 89696263, 14521459, 73828439, 1711282, 4681896, 38875822, 19222845, 62289908, 65146730, 9904138, 43184542, 217797107, 30702354, 148916413, 31481391, 425359, 95252717, 11047883, 112277713, 2402960, 26145033, 6937987, 97860452, 15045004, 81775280, 108892514, 3457816, 15357683, 45667565, 14187457, 134045925, 16134099, 83135938, 3341621, 76350134, 7194354, 173999361, 27894228, 45568316, 4450784, 20795764 ], [ 14287189, 48934374, 66392264, 18520017, 75303799, 38081745, 10667729, 10728620, 47429823, 77985592, 62338992, 49874935, 22757081, 36020946, 17075894, 24770995, 40855158, 10053466, 40700961, 12230160, 29984501, 32527896, 54507159, 93086611, 30149294, 12564057, 147914446, 41914876, 4139590, 6555506, 145809542, 72608530, 122276761, 129098722, 9919743, 22598478, 32677055, 12448949, 8572098, 26723723, 35463597, 26317362, 98787651, 38081757, 196409804, 12349849, 46963576, 11190101, 111660739, 41380616, 4981553, 8049892, 95117959, 111117226, 74241463, 74916810, 69399563, 66324518, 95386526, 57637243, 121414083, 163526627, 33395442, 7525681, 4695700, 23458859, 38574190, 96825983, 79561572, 11128502, 79667132, 104722467, 51715442, 60270550, 77689128, 14124872, 84094160, 45434644, 10845223, 19249411, 47164747, 629887, 24766906, 63253625, 75852891, 186582141, 33612846, 112819628, 149029918, 16781656, 69025116, 7492623, 77572742, 3492989, 183759803, 60525798, 49803073, 43573138, 87897430, 53249682, 210418567, 204181859, 57685915, 238108826, 29603894, 58838564, 102658799, 116187027, 11775402, 63829230, 31533926, 67872778, 1250663, 132767123, 156567212, 77874438, 59291734, 84622119, 28110601, 51565532, 32182005, 42081034, 139101616, 40197139, 78854301, 91777797, 13486249, 16126660 ], [ 21192448, 39301225, 20551867, 18520017, 136245013, 38081745, 52035445, 41396172, 133986693, 21111746, 19971613, 54222242, 8799657, 36020946, 163830577, 2938367, 76141940, 28824799, 36161704, 56893036, 4584997, 260962218, 54507159, 34088334, 15072477, 36409849, 163965382, 79277097, 4139590, 6847388, 88277132, 30479417, 53283484, 169626572, 106523663, 41163899, 84016210, 161507854, 123466888, 5535505, 14710611, 7658704, 731027, 124972417, 1994469, 10151165, 96064311, 145062040, 4656625, 9650350, 26014536, 10030682, 17070917, 49755262, 63445305, 10654555, 86578241, 7865970, 14648640, 90923096, 132054139, 35379752, 33395442, 12197004, 4568015, 8767110, 51861704, 11729070, 21940924, 8937545, 30997187, 41169411, 65771, 11856924, 105449809, 14124872, 100297601, 56397332, 19353368, 19249411, 107208455, 33612121, 44668333, 94155543, 99223131, 23136344, 35835147, 28151729, 121733072, 45315856, 46265311, 74663741, 23401976, 19222845, 15272083, 75897377, 29930575, 2510940, 67720895, 1307595, 92410162, 1505041, 22173503, 2842731, 49453078, 63260092, 46887196, 104978551, 24606677, 63829230, 31533926, 20415014, 93898343, 166310533, 74445818, 77874438, 14187457, 43063736, 11257760, 19595242, 4631896, 67476139, 80197646, 67371950, 220187136, 142619239, 32505446, 158189237 ], [ 43913465, 73957937, 85001253, 52262630, 119583545, 7829423, 52035445, 59815771, 11338106, 148288551, 11836062, 58519521, 8799657, 107501630, 60931390, 2714189, 193818367, 44778422, 68485894, 15570874, 57071156, 32090228, 48133062, 59188506, 101437440, 46559750, 147914446, 39720231, 4139590, 21147669, 96333330, 130652369, 37924836, 172107152, 9919743, 107832548, 48222143, 12448949, 115171209, 90318105, 21657208, 40636360, 98787651, 14539178, 36597070, 43832946, 93413578, 23554704, 28791263, 20409292, 26014536, 38642219, 21138343, 27015611, 19560718, 14402816, 162803235, 7865970, 106937451, 17090967, 35055757, 53945050, 17234646, 10703012, 116251828, 19596352, 40681939, 20876282, 17521143, 11128502, 30997187, 41169411, 40382748, 60270550, 36215269, 82463818, 78937118, 56397332, 9715890, 10251915, 63506446, 65878201, 11914058, 26791723, 260221975, 80965691, 38367463, 34969278, 20337306, 70979797, 97312249, 7492623, 112610509, 19222845, 62289908, 5229812, 9904138, 43573138, 6461659, 30702354, 146751926, 143247651, 64410245, 31926706, 31070474, 67723193, 14861593, 18029310, 20953012, 85577886, 17484418, 42708721, 3314149, 3457816, 22984477, 1778507, 142519476, 135279616, 39902837, 19595242, 4631896, 18566907, 85358323, 28196801, 38183218, 95588817, 54663602, 8385885 ], [ 111611188, 97085922, 72257916, 188306336, 39546168, 7829423, 9546680, 24077093, 56920750, 122369696, 119367130, 54222242, 24388200, 89736295, 57273016, 2938367, 6159804, 95554627, 29159332, 138673085, 9367199, 152078517, 54507159, 92954559, 33926751, 21434280, 13942118, 216126458, 4139590, 9811063, 36342808, 130652369, 111407, 61760852, 9919743, 47138673, 27094788, 27492701, 208418226, 62615851, 44288010, 10259202, 731027, 121539835, 152366056, 57317810, 165450525, 5541362, 14820136, 125216422, 26014536, 35578335, 17070917, 67955405, 19560718, 10654555, 162733706, 70360735, 14648640, 279690392, 128159795, 35379752, 33395442, 48164330, 4568015, 23458859, 40681939, 121142618, 21940924, 11128502, 54649914, 41169411, 65771, 11856924, 76814743, 29034, 100297601, 56397332, 95255415, 19249411, 108157408, 10158467, 44668333, 104252986, 29354841, 23974405, 69146842, 28151729, 39498949, 31631278, 119485024, 7492623, 78426205, 19222845, 77301554, 5232805, 8103873, 43573138, 46178442, 81208466, 13111456, 22447868, 64410245, 93370610, 9594562, 36643396, 46887196, 50434978, 35164341, 9621699, 62345459, 36141624, 93898343, 181627399, 144767245, 313162, 7953930, 43063736, 24346444, 820007, 4631896, 67476139, 42386113, 78707398, 333147, 144915952, 54663602, 111255621 ], [ 24568957, 36539407, 21330488, 554189776, 128094034, 38081745, 52035445, 19518841, 38287591, 85692249, 126856013, 74243328, 162302188, 325941215, 57273016, 2938367, 259690407, 72198718, 68862158, 138673085, 4584997, 174709220, 54507159, 34088334, 172756301, 47168326, 163965382, 216126458, 4139590, 21147669, 88590952, 51657916, 111407, 87165053, 124496926, 378365535, 140274632, 386689295, 208418226, 173241302, 56845272, 24969733, 276456832, 52801849, 251836186, 57317810, 46963576, 145062040, 144185530, 125216422, 26014536, 110490243, 96353757, 67955405, 74241463, 16027700, 22877542, 70360735, 177356704, 459196424, 17639151, 91737262, 33395442, 89509321, 8952830, 45044728, 131606927, 146382436, 30422587, 11128502, 30997187, 41169411, 345083454, 13752420, 249803015, 154061254, 100297601, 56397332, 193981336, 19249411, 197633367, 167155196, 24766906, 190916629, 110179031, 23136344, 69146842, 28151729, 38708815, 164174615, 89650984, 74663741, 46605346, 137615099, 141771750, 5232805, 49803073, 43573138, 61738332, 268119993, 269178695, 64147911, 64410245, 315305149, 76268170, 150049881, 36849268, 104978551, 24606677, 29434560, 364340403, 49867687, 110012260, 164839428, 49664995, 77874438, 59825163, 67486006, 146705618, 19595242, 4631896, 52483384, 87110961, 78707398, 339187742, 58301158, 54663602, 158189237 ], [ 18143714, 23326966, 15359576, 129787590, 3857650, 7829423, 34444996, 10938352, 31816588, 132735885, 139470334, 1616244, 74597971, 65401774, 22090208, 1837577, 44076939, 113128695, 68862158, 138673085, 29984501, 32527896, 36837645, 34088334, 15072477, 8027621, 7304708, 9297054, 4139590, 15932697, 32318278, 48525486, 46479992, 91141172, 127792712, 121188832, 122936873, 125350875, 28521023, 14017762, 183119693, 50474282, 24976361, 14539178, 177200802, 12349849, 13451784, 145062040, 119835482, 35503121, 26014536, 87331021, 2031412, 21139736, 62202479, 16027700, 20975573, 26083446, 68601867, 27035160, 1696547, 24647788, 11447161, 57173112, 136098847, 23458859, 110304335, 12512447, 171337933, 11128502, 30997187, 102147774, 104330210, 11856924, 33384915, 9022882, 51828927, 180041715, 23137451, 19249411, 25861665, 35924575, 24766906, 199903515, 100146968, 23136344, 32312309, 61818259, 20337306, 27251218, 44894668, 144236284, 35744754, 19222845, 4570751, 5232805, 29930575, 25427889, 73999289, 48566027, 19106965, 53064410, 12279330, 109335013, 39990073, 60881301, 2331077, 21571738, 22828454, 63829230, 808038, 111972966, 119015140, 101871907, 22984477, 26406378, 40138665, 43063736, 37044677, 22717768, 22747318, 36992373, 42882095, 3201161, 206940894, 61799561, 54663602, 72115501 ], [ 102823691, 97085922, 20675186, 17612540, 136245013, 7829423, 188805647, 24258129, 11338106, 71013518, 42493755, 58141178, 36188612, 19170202, 55628023, 21736456, 35635354, 44778422, 51287163, 12607340, 48757041, 73774743, 48133062, 29905141, 5268798, 43176167, 9823384, 61993387, 67213595, 39257584, 90105736, 67516099, 23937603, 209947214, 9919743, 15893949, 40104047, 62217652, 12097461, 34923500, 11142073, 362746292, 54049957, 1795485, 32733857, 168086737, 34079372, 22918316, 110434910, 60223950, 27794976, 87331021, 222625262, 109565665, 50451307, 23754173, 3093796, 8221730, 8909090, 31863166, 81552098, 66483467, 41935063, 48164330, 70164778, 152204219, 21391944, 33650628, 154041387, 11128502, 22704879, 104722467, 31961674, 1839938, 20588532, 116247650, 142157452, 71500726, 95255415, 10251915, 45404420, 46523739, 24766906, 26791723, 25004317, 23136344, 172479042, 143590005, 79455945, 73828439, 44894668, 7492623, 221177775, 19222845, 4570751, 104997302, 9904138, 43573138, 249234233, 30702354, 48439206, 1121340, 41300367, 109335013, 19937624, 36643396, 10328263, 58570577, 35164341, 150118051, 129618218, 51741633, 34900327, 35382559, 15882741, 17911957, 14187457, 119569578, 186879426, 73708428, 10094996, 76350134, 97906303, 78707398, 19817986, 61799561, 73978564, 8385885 ], [ 24568957, 75324996, 6486315, 248889863, 110408635, 7829423, 26012466, 67955476, 11338106, 333601727, 42522121, 74243328, 8799657, 59370111, 220839074, 41364418, 163815048, 10591605, 5312691, 40620308, 115533903, 46042705, 34955054, 17249292, 14663227, 46559750, 25944681, 56641130, 4139590, 9811063, 7844830, 172326144, 27917652, 22860772, 496224, 75901304, 154444328, 55063382, 163467739, 41077346, 54087170, 39668587, 98787651, 124972417, 243950234, 21750994, 71687152, 5528881, 150202557, 49882510, 26014536, 120801518, 50798284, 234840383, 24572197, 7498357, 56413076, 6044690, 14648640, 16330527, 2470016, 163526627, 137840341, 48164330, 745699, 105447855, 181049822, 12512447, 45906995, 11128502, 19996571, 73698525, 26179740, 60270550, 33384915, 14741210, 26203196, 117754298, 95255415, 19249411, 72858524, 167155196, 63258861, 64672231, 12184028, 23136344, 192082432, 75473547, 48669013, 31373905, 49223532, 7492623, 207138726, 108373704, 15727200, 105752443, 89250547, 43573138, 114793140, 32328827, 3152789, 22447868, 64410245, 6601732, 75362824, 34018182, 66991236, 21571738, 60179848, 5923003, 151414720, 51217277, 1718374, 74186874, 305972131, 1662263, 14187457, 124733615, 24346444, 83135938, 11952122, 10433572, 142662399, 34441357, 57798446, 41984020, 54663602, 8385885 ], [ 153296991, 35377472, 74388759, 22543064, 84104608, 7829423, 23665170, 24258129, 86166459, 81188546, 51740697, 26863402, 25445633, 43618328, 23609316, 41574475, 3255483, 7496671, 8552619, 27820832, 69861726, 41601143, 23508368, 9449556, 15072477, 11444678, 1271261, 42247083, 24419798, 9811063, 11870285, 35171608, 16952128, 19490018, 496224, 22566690, 26161693, 92563344, 123736722, 14136878, 52313730, 18823905, 73788076, 1795485, 23305849, 8738751, 926184, 28538266, 37092508, 26018692, 26014536, 50199026, 3231374, 37635859, 24572197, 13802806, 7692581, 6045037, 37915917, 79400751, 68523720, 113268227, 26638054, 7969807, 100562508, 26118113, 90060050, 34199778, 1140251, 11128502, 42411904, 41440769, 26179740, 12467909, 109256529, 67053694, 687837, 60945208, 52479638, 9740394, 63506446, 48006655, 31832713, 8889224, 25004317, 26840086, 9650165, 34969278, 15202585, 43076009, 16536494, 7492623, 82716240, 19222845, 181398037, 5229812, 35212484, 35536884, 31635542, 91173177, 48439206, 4281988, 64410245, 31086683, 30171485, 83885376, 111924911, 56759152, 12821873, 32815613, 1002701, 16284884, 108892514, 20434814, 68779907, 13721683, 10406686, 69946633, 19570202, 16372517, 20933357, 51284171, 6464083, 86494676, 153912650, 75674130, 39011870, 3402122 ], [ 14107149, 40947506, 20551867, 7150769, 54303753, 19122126, 120123941, 10938352, 115994468, 74157436, 22907577, 40028156, 7976444, 42278554, 14676184, 66228297, 7619152, 39873603, 36161704, 37914459, 7083997, 46042705, 3915686, 34088334, 7184443, 46559750, 7868675, 46274253, 60254139, 21147669, 36342808, 17844472, 13192576, 122473174, 7603521, 113483717, 28888652, 3966872, 44363295, 15027481, 158735679, 39668587, 24976361, 1795485, 39039705, 10151165, 10632330, 52150396, 28791263, 35503121, 26014536, 34815023, 141616975, 21139736, 45390288, 69579037, 78455536, 6045037, 14648640, 56697813, 20651900, 49707186, 32872819, 7969807, 758187, 34035772, 79036542, 313465, 47853999, 11128502, 70087315, 104282797, 104330210, 336618, 105449809, 152285872, 62562768, 32360105, 44841138, 26225179, 15702029, 10158467, 73106493, 21883622, 25004317, 7244825, 4519966, 118178012, 10675611, 25591598, 23801136, 12739979, 23401976, 19222845, 160362089, 20901726, 26290681, 6371671, 65524676, 32328827, 171979089, 93425233, 17693913, 55391992, 127713038, 54920280, 16100879, 31044122, 12933874, 16848065, 31533926, 16284884, 34900327, 24390536, 22984477, 22788190, 14187457, 82621231, 26782976, 138360743, 7805551, 54314133, 76196368, 32373667, 177591017, 76808413, 32826616, 93469521 ], [ 63235793, 13262061, 41788567, 7150769, 23882561, 7829423, 13557540, 10938352, 47429823, 111941412, 23414985, 55136879, 34739738, 31275644, 165980902, 168555881, 40855158, 115646117, 39411165, 12290266, 89116890, 183131299, 54507159, 16439853, 17534975, 455495, 7304708, 8874972, 4139590, 9811063, 11870285, 72608530, 29973563, 15607790, 9919743, 18914570, 28888652, 11986853, 22794455, 55479953, 25867508, 7658704, 24976361, 1795485, 7150152, 30543707, 926184, 33600193, 26429000, 80539667, 92950412, 23911245, 135329372, 174272567, 47110452, 13802806, 69399563, 51210683, 2602571, 69081479, 4435304, 46481541, 38504136, 74046888, 23802493, 26118113, 57995239, 3934247, 23333317, 11128502, 27213168, 131173512, 1721996, 60270550, 20588532, 116247650, 142157452, 4232416, 159499413, 19249411, 76332171, 23948815, 24766906, 17578618, 25004317, 152535386, 120403440, 66918855, 12596429, 73828439, 44894668, 7492623, 4116461, 19222845, 103182946, 65146730, 77787942, 43184542, 73999289, 63975941, 72663096, 22447868, 48659214, 2842731, 51408379, 41941887, 23619571, 113752731, 8172592, 16848065, 31533926, 16284884, 42207456, 2209652, 68779907, 28110410, 21334239, 134744943, 19570202, 51565532, 22747318, 55798321, 50021173, 52934080, 12114064, 4746681, 8438163, 158189237 ], [ 18143714, 75324996, 91521943, 7150769, 136245013, 42561139, 30202580, 2963064, 44140979, 74157436, 19971613, 40028156, 12314644, 36020946, 23609316, 69899350, 18518610, 69607594, 5312691, 23242567, 29848094, 183131299, 54507159, 34088334, 8151623, 117016792, 7868675, 46274253, 36979083, 9811063, 43789112, 5892132, 6195173, 65706215, 9919743, 107832548, 85660278, 941774, 53354759, 80415472, 129236485, 23370903, 5403274, 124972417, 1378353, 37449118, 54050589, 5528881, 42823446, 121150546, 15383545, 70306353, 1400950, 67955405, 19560718, 13802806, 56413076, 500064, 11163758, 27035160, 35918504, 37321814, 51659623, 12197004, 113988086, 23458859, 101831917, 20876282, 50326426, 11128502, 19996571, 104282797, 26179740, 18583904, 18865190, 14124872, 1375471, 180558275, 95255415, 55521917, 49030490, 23948815, 73106493, 107901285, 12184028, 23136344, 14478024, 61818259, 37520657, 69120244, 44894668, 7492623, 35744754, 19222845, 53228453, 5229812, 45616137, 11293016, 46980226, 14989155, 237986022, 22447868, 64410245, 28666453, 165357810, 42055225, 25666610, 131216689, 12821873, 10207744, 52345798, 62647959, 82641380, 110223956, 53975140, 37495361, 14187457, 78222673, 22918391, 48585187, 1819671, 27708952, 42249333, 40657849, 16655760, 20758734, 42261887, 34839164 ], [ 24568957, 47116716, 1594698, 7150769, 21468426, 7829423, 23665170, 92093921, 16684911, 43240855, 24840636, 55136879, 71615469, 75666424, 57273016, 13112516, 34953635, 82178070, 23948701, 8328787, 29984501, 46042705, 3915686, 5971639, 33124193, 32464945, 17558543, 25215981, 67213595, 21147669, 43789112, 5892132, 29973563, 102851051, 9919743, 18914570, 15948992, 42386027, 50835184, 36700884, 25091410, 39668587, 49905013, 3432949, 14070509, 3555439, 4572319, 5528881, 10205486, 52133795, 26014536, 7540548, 51243350, 67955405, 41938107, 30363827, 42519407, 6044690, 11163758, 37539156, 41515455, 24647788, 33395442, 7969807, 28367226, 98663173, 85952716, 38589562, 60730647, 11128502, 1927362, 6038789, 66947739, 51325901, 248606654, 24883461, 92099294, 62078491, 52479638, 82142852, 5105700, 6306853, 24766906, 26791723, 70291863, 23136344, 127116339, 80573135, 48669013, 73828439, 44894668, 7492623, 47854487, 19222845, 62289908, 5229812, 24616840, 14280183, 110766261, 32328827, 19076176, 1505041, 64410245, 33373381, 18629613, 65929312, 76288279, 145603465, 78632075, 26274145, 19506101, 76468824, 34900327, 74264414, 61306308, 77874438, 14187457, 2726960, 32324968, 20039741, 10094996, 65489594, 42249333, 117079825, 46350896, 21408686, 42261887, 12517399 ], [ 42188445, 16340085, 21330488, 50682523, 25320580, 7829423, 23665170, 10938352, 15538033, 14650532, 11836062, 55136879, 8799657, 76246576, 31725910, 71614902, 18518610, 5136195, 51287163, 56392526, 29984501, 82486154, 45201766, 9449556, 8151623, 46559750, 17558543, 39720231, 4139590, 9811063, 145809542, 51657916, 16952128, 10967976, 9919743, 185831472, 26677396, 3966872, 16145391, 17827532, 6629397, 14261, 49905013, 124972417, 39039705, 44570338, 19604507, 52150396, 47791838, 8752027, 26014536, 15202706, 12086014, 21139736, 19560718, 13802806, 56413076, 500064, 14648640, 43127622, 4435304, 104195040, 10055390, 36170463, 4695700, 8362790, 110304335, 20876282, 4426774, 11128502, 19996571, 22207588, 1721996, 60270550, 76814743, 94579031, 21526573, 60945208, 24397799, 19249411, 45404420, 77870115, 24766906, 140116245, 100146968, 23136344, 1775884, 121374434, 12328115, 60384687, 44894668, 7492623, 35744754, 19222845, 61977063, 5232805, 26290681, 35536884, 34881830, 81208466, 58763506, 22447868, 17693913, 42464866, 51408379, 2904225, 30792931, 3136396, 24370742, 117500489, 31533926, 86657443, 34900327, 4973656, 56142215, 74931875, 14187457, 9219250, 24346444, 7393291, 1819671, 54314133, 18817578, 30294394, 3708189, 61799561, 4450784, 36592922 ], [ 36165227, 97085922, 40672129, 80487212, 136245013, 2124842, 182108133, 112408125, 24618601, 245761981, 98286111, 58519521, 61311245, 13920403, 49382248, 19500208, 73125700, 58008113, 14534640, 30672394, 48757041, 46042705, 48133062, 34088334, 116257715, 3571107, 26533626, 16434599, 148252446, 21147669, 145809542, 26100997, 77019770, 91141172, 126871329, 63548274, 85660278, 51300435, 39196081, 53345335, 62545224, 37854555, 175215195, 124972417, 251836186, 52999459, 46963576, 5528881, 158281515, 10077801, 252725741, 10030682, 10561286, 112735917, 28055681, 34775875, 48212736, 20700434, 11163758, 69081479, 2470016, 66483467, 52993073, 110037657, 745699, 23458859, 12653804, 121142618, 36603489, 11128502, 3837077, 84743386, 144387996, 28358421, 20588532, 68616964, 18995106, 4232416, 106097577, 32445603, 194619951, 83560842, 24766906, 26791723, 43412957, 23136344, 65709753, 125449199, 36523646, 6018979, 44894668, 215327161, 26591430, 93376594, 4570751, 5229812, 4692525, 34104171, 146101366, 32328827, 140482648, 106473325, 64410245, 15381447, 51408379, 28898544, 102658799, 58570577, 22937404, 34263153, 14870913, 102618420, 110012260, 123282392, 13787620, 77874438, 36625765, 107331995, 36100775, 8232945, 43942944, 76350134, 133217857, 78707398, 11770568, 41984020, 41784256, 20795764 ], [ 63235793, 97085922, 91521943, 70998739, 79467194, 7829423, 139422025, 99774050, 47429823, 53988238, 136486186, 74243328, 71615469, 75666424, 139088037, 66275161, 21521887, 148363555, 143635803, 28941804, 124590288, 187914316, 54507159, 34088334, 1830157, 43176167, 2806988, 8874972, 4139590, 21147669, 182484876, 187511303, 111944417, 203288285, 9919743, 22598478, 140274632, 55063382, 41352778, 194479144, 72736973, 13424672, 98787651, 124972417, 140478244, 181581527, 46963576, 85236238, 102949115, 72690179, 26014536, 105897968, 102355778, 211551143, 2219404, 27909537, 31986973, 108771973, 268006382, 15659086, 171587154, 8496530, 38504136, 74046888, 25872681, 42677988, 131606927, 12512447, 36603489, 11128502, 19996571, 115550342, 111539325, 38158728, 33384915, 116247650, 129678338, 4232416, 169109617, 19249411, 14601617, 19882501, 24766906, 228571800, 45757850, 23136344, 4639226, 12600031, 166675023, 19416952, 92229190, 7492623, 35744754, 19222845, 15727200, 5229812, 29930575, 14586481, 272014843, 72888543, 120637588, 31481391, 30488206, 12439658, 165357810, 60881301, 14861593, 21571738, 40747813, 94194490, 148806342, 144022260, 95623011, 74462610, 46091588, 1778507, 123359600, 2726960, 39902837, 51565532, 11952122, 18566907, 142662399, 16510963, 167879071, 98178853, 54663602, 88366879 ], [ 82816544, 97085922, 15359576, 93067545, 64501046, 7829423, 34444996, 41655514, 31222328, 16677736, 24840636, 50368910, 8799657, 42278554, 57273016, 3182977, 35055851, 125722950, 36161704, 56392526, 17088587, 152078517, 45201766, 34088334, 4836413, 3571107, 9823384, 46274253, 36979083, 6847388, 50069238, 48525486, 13192576, 19423450, 7603521, 15893949, 122936873, 56762817, 53354759, 64448995, 44288010, 13424672, 83468921, 14539178, 34956634, 24508669, 46963576, 81978943, 43022300, 40548519, 26014536, 10030682, 10411787, 9965766, 20853173, 13802806, 75648262, 6044690, 11163758, 14786749, 4435304, 35379752, 33395442, 48164330, 1958271, 23458859, 19360818, 13533830, 60730647, 11128502, 22704879, 115550342, 26179740, 11856924, 99607073, 67053694, 1375471, 21076761, 19353368, 26225179, 18520021, 5581626, 24766906, 45077948, 29354841, 23136344, 21296331, 28151729, 12328115, 29265155, 44894668, 74663741, 78426205, 19222845, 20286424, 5229812, 8103873, 6371671, 90706319, 81208466, 77385204, 22447868, 42410573, 60154907, 69382357, 44861750, 46887196, 43313435, 7958284, 68911876, 17484418, 64233309, 3266023, 74462610, 28703334, 9524705, 14187457, 9219250, 19888394, 820007, 15494622, 67476139, 34781054, 12797032, 37146098, 36294884, 36381248, 20795764 ], [ 81365832, 24130584, 91521943, 53684186, 25910147, 15037967, 4524262, 7341564, 9830850, 33465956, 22629165, 16858700, 8799657, 42278554, 49479910, 13112516, 18518610, 70241720, 51287163, 25067792, 47280568, 17596130, 33515288, 34088334, 8151623, 455495, 69135197, 18140653, 23647385, 21147669, 49110095, 35171608, 13192576, 41186532, 7603521, 41163899, 93076438, 15524126, 22981472, 51358912, 38921735, 98607082, 17055804, 1795485, 39598691, 45054839, 13430379, 14156480, 84387194, 16255500, 26014536, 35578335, 12789386, 13230952, 115547, 10654555, 55492492, 4698523, 14648640, 14786749, 61606123, 56202485, 43978709, 21942070, 77097147, 23458859, 110304335, 20876282, 7611379, 11128502, 27213168, 6038789, 129111987, 71016383, 6528865, 1915745, 3888861, 74305015, 29846511, 27824878, 52194133, 46523739, 24766906, 57259835, 17520731, 23136344, 26544004, 104721923, 31459281, 12742233, 9315550, 30715563, 53375586, 19222845, 96279269, 48249800, 37119810, 6371671, 34881830, 34787540, 22953946, 79870237, 33396945, 5648562, 18629613, 2904225, 19570961, 173777411, 35164341, 3674981, 8820852, 12753656, 61107429, 15276074, 88138403, 9524705, 7953930, 26257979, 62831370, 34438843, 22747318, 24088385, 42386113, 4241466, 100424725, 104379772, 22524132, 8385885 ], [ 83334532, 97085922, 23176922, 7150769, 125013236, 19122126, 30202580, 7341564, 31816588, 165466005, 24840636, 55136879, 7434452, 42278554, 33085077, 59850810, 23745391, 30847397, 51287163, 16546424, 96953758, 71120049, 54507159, 34088334, 32404941, 47168326, 7868675, 46274253, 4139590, 17804636, 43722539, 20709558, 10438936, 28105047, 96931726, 41163899, 140274632, 941774, 82979194, 18621550, 19155092, 290844163, 24976361, 124972417, 39598691, 181581527, 46963576, 145062040, 103446597, 16255500, 2885522, 70306353, 11776836, 59331882, 17366602, 106487485, 11067718, 4698523, 14648640, 27143142, 134056173, 37186753, 9433345, 7969807, 189214701, 2512524, 107754139, 20876282, 126674761, 11128502, 19094705, 10169286, 30349289, 3573302, 106574423, 158953099, 50022604, 128620045, 47005805, 19249411, 59944870, 158300757, 24766906, 58408999, 17520731, 23136344, 10182779, 143590005, 2056300, 73828439, 216312730, 14074783, 56619802, 19222845, 4570751, 25741768, 113461032, 11293016, 72877237, 321143, 101731487, 79870237, 17221490, 64066844, 100601120, 2904225, 60784428, 10953662, 35164341, 135756252, 49793696, 202764009, 130058598, 44272748, 38004335, 77874438, 14187457, 263522645, 32324968, 83135938, 22747318, 27708952, 58109525, 78707398, 124491763, 110353682, 54663602, 93765963 ], [ 42188445, 97085922, 91521943, 214611293, 136245013, 4580769, 115046075, 123469016, 74851581, 90094578, 136486186, 74243328, 71615469, 131627828, 21373960, 71167525, 400317152, 148363555, 149911674, 101486490, 124590288, 29555188, 54507159, 34088334, 21710163, 342507027, 224545812, 2566108, 44592370, 21147669, 110960290, 352931658, 4757817, 291064453, 9919743, 107832548, 277657016, 320441286, 94263588, 176271245, 188043164, 168173261, 24976361, 88165754, 239972320, 35777471, 73082794, 58556005, 601072100, 412914782, 26014536, 167116606, 51243350, 284518458, 98129014, 325433786, 20975573, 70360735, 11163758, 15659086, 123106573, 163526627, 166247101, 170823547, 49034680, 42677988, 110304335, 3446680, 223217071, 11128502, 84929942, 515085340, 6828299, 236030401, 46077753, 116247650, 22311697, 203248303, 117357747, 47912511, 56454059, 176351573, 49073427, 367112502, 371790041, 23136344, 192082432, 143590005, 30838529, 146610478, 119485024, 7492623, 80374169, 19222845, 77420654, 5229812, 33930366, 43573138, 73999289, 108053240, 269178695, 79870237, 64410245, 41757874, 9503010, 246766272, 59553893, 291330493, 35164341, 94194490, 364340403, 152283894, 108892514, 38854668, 303024978, 53110477, 123359600, 8412121, 39902837, 94962878, 22747318, 67476139, 85358323, 56794561, 100221868, 298087002, 37205154, 53692391 ], [ 61276024, 17746261, 27156500, 43382058, 136245013, 7829423, 27721353, 10938352, 25044537, 218481368, 60840185, 74243328, 8799657, 57735337, 57273016, 24380805, 26474419, 30847397, 61191946, 16546424, 1549220, 46042705, 36837645, 34088334, 21710163, 46559750, 7304708, 31043805, 4139590, 21147669, 35615106, 1452202, 22705191, 86439671, 22362699, 41163899, 168795757, 4832556, 58347541, 127562122, 56845272, 39668587, 24976361, 1795485, 39598691, 10151165, 17429274, 90982839, 84387194, 89121664, 26014536, 39667513, 45328380, 49755262, 98129014, 10654555, 20975573, 6045037, 27541038, 145808453, 96836464, 35379752, 33395442, 7969807, 77097147, 23458859, 31291139, 3934247, 21940924, 11128502, 62886761, 279972509, 65771, 11856924, 61216899, 49925142, 11894363, 138757696, 29846511, 7071017, 66369083, 99339, 40525522, 61310584, 25004317, 23136344, 30108860, 28151729, 12328115, 72244029, 56728138, 74663741, 23401976, 5981877, 117806464, 5229812, 31812472, 43573138, 73999289, 22389531, 104267356, 13573695, 22173503, 12439658, 36498622, 10148911, 81197310, 3824292, 35164341, 63829230, 54401950, 143970678, 41039970, 102948098, 66486379, 66124152, 47784467, 3660070, 37044677, 34438843, 7805551, 114722138, 85358323, 1264245, 70979084, 95075029, 32424588, 123716021 ], [ 199948301, 175602237, 91521943, 117514230, 25910147, 7829423, 123781816, 109776646, 71474924, 71013518, 151853792, 11122812, 79737089, 20865873, 23609316, 69899350, 36090254, 23413941, 18969497, 1309024, 53070926, 45845130, 54507159, 34088334, 79409986, 43176167, 61017672, 80932364, 36979083, 9811063, 2683954, 15433809, 24847453, 91141172, 22427269, 49405301, 15948992, 100440667, 5728767, 194479144, 664293, 17280545, 62129797, 110278130, 22732079, 5564078, 301343960, 118014743, 90949067, 140828493, 21362939, 87331021, 39235449, 62806176, 10380388, 10654555, 107804178, 61674512, 165347182, 31897130, 5179922, 146962618, 118393857, 34955791, 6072719, 8767110, 131606927, 166492670, 63046026, 11128502, 89756829, 6038789, 26179740, 13941585, 20588532, 116247650, 48982349, 31343280, 187340610, 100658489, 117460721, 71414976, 16703008, 99854249, 8841244, 14097842, 58607025, 143590005, 16187715, 35370332, 44894668, 9952316, 20077500, 19222845, 17551062, 5229812, 205746004, 30697211, 110766261, 32328827, 232190996, 22447868, 48659214, 88710090, 18629613, 150049881, 102721528, 199328976, 24247887, 3674981, 111169812, 130098662, 93898343, 13069568, 101443646, 77874438, 40138665, 26257979, 22403939, 4162230, 10094996, 76350134, 86722838, 78707398, 238915946, 61799561, 233926784, 36062939 ], [ 131004138, 4770297, 761466, 131701476, 56975895, 7829423, 81223123, 7320926, 47429823, 46861109, 19436251, 10636388, 24388200, 20865873, 56227559, 18429975, 9046343, 148363555, 18969497, 1309024, 29984501, 10344462, 52292132, 163886869, 19925374, 47168326, 17558543, 31043805, 4139590, 9811063, 2683954, 15433809, 57642224, 75366654, 9919743, 68433145, 5698647, 146084899, 86884185, 36700884, 36288890, 10259202, 49905013, 56158645, 133202078, 28439149, 22487531, 5528881, 14820136, 83200726, 26014536, 10030682, 111869230, 62806176, 19560718, 11735842, 6534633, 66324518, 14648640, 82513676, 165597497, 54139957, 33395442, 32744536, 30342613, 23458859, 28258023, 11729070, 1103758, 8937545, 94932526, 3453250, 26179740, 11727128, 27303075, 29962433, 1375471, 93311025, 3261094, 19249411, 117460721, 28353657, 24766906, 103852648, 43412957, 9750518, 143989921, 63306276, 48669013, 73828439, 1357031, 7492623, 53375586, 19222845, 15272083, 144112307, 49803073, 26937902, 46980226, 32328827, 39785202, 22447868, 52840328, 33373381, 55555169, 84913038, 102658799, 43313435, 35164341, 27831959, 22025713, 152283894, 103804387, 3849969, 23536374, 56581478, 221657, 9219250, 24346444, 7574241, 7440492, 9601057, 38535377, 78707398, 177912206, 1832243, 54663602, 8529667 ], [ 19594632, 97085922, 25418940, 157120283, 56975895, 7829423, 19927366, 55032171, 47429823, 122066322, 75312590, 74243328, 71615469, 20865873, 57273016, 108168934, 10545885, 13956431, 34603293, 1309024, 198731659, 29804112, 54507159, 3483270, 15072477, 3571107, 70439458, 10405927, 16651970, 21147669, 2683954, 38606700, 893993, 10954908, 9919743, 117181539, 140274632, 111646838, 84598180, 37153598, 70887319, 39668587, 98787651, 24447404, 34496125, 171907556, 46963576, 158802343, 49456256, 2262912, 68774826, 56894234, 161036725, 22489912, 68548286, 23871470, 9217522, 8221730, 32937631, 22434602, 119062481, 14572170, 4994167, 12293544, 91914071, 23458859, 2235822, 20876282, 94420609, 11128502, 21932640, 74900856, 83223741, 12467909, 172618930, 16659788, 142157452, 31343280, 145075117, 11209908, 45404420, 74732900, 24766906, 12808284, 23083607, 14097842, 20123281, 143590005, 34164230, 49107723, 4822408, 7492623, 178005123, 19222845, 107146911, 28353269, 792451, 13111549, 272014843, 32328827, 39785202, 13573695, 37542637, 24423815, 100601120, 2904225, 38076923, 49942613, 106621987, 29184568, 49793696, 65918568, 1250663, 97878312, 146456931, 77874438, 56487388, 41017198, 65373577, 4162230, 53923074, 7186259, 6464083, 84998718, 177664765, 63667138, 33560528, 20795764 ], [ 182047471, 97085922, 113505080, 35722677, 115879547, 205770597, 115046075, 130453420, 11085454, 233495439, 90727565, 115970893, 71615469, 119350500, 49382248, 179509560, 163244877, 143954271, 51287163, 6868206, 69861726, 59453734, 54507159, 344223468, 353443360, 396952076, 202725313, 2566108, 16651970, 9811063, 111325205, 385182958, 130629805, 640029832, 9919743, 149559773, 94780970, 175444902, 425215390, 109689335, 161630182, 149196458, 49905013, 312020189, 239972320, 181581527, 301061979, 5528881, 106526601, 484486034, 369494121, 120801518, 414327722, 37635859, 300277649, 5582626, 179471924, 45064253, 14648640, 86668978, 127204930, 163526627, 166247101, 48164330, 189214701, 137077539, 32070630, 145775777, 298722193, 291665744, 178660193, 104722467, 26179740, 188268969, 409975299, 29962433, 523758588, 83060934, 95255415, 76106536, 63506446, 156045941, 164749654, 152145799, 44399837, 23974405, 62842898, 45723755, 48669013, 399278224, 446275943, 7492623, 443929535, 19222845, 41151896, 355559534, 67706453, 43573138, 230720224, 310801574, 207472463, 22447868, 143455930, 33373381, 165357810, 339101550, 160122026, 43313435, 35164341, 227167865, 43458299, 41392187, 108892514, 40907352, 352226570, 69421931, 14187457, 9219250, 24346444, 94962878, 271186117, 248275913, 229618946, 78707398, 129515953, 45568316, 161831401, 53692391 ], [ 48319627, 97085922, 40672129, 35722677, 22452497, 23531533, 42911139, 10728620, 47429823, 94492890, 150685462, 39101763, 171187859, 51845718, 57273016, 98922378, 10545885, 47546757, 16515986, 268549189, 55089311, 2892486, 54507159, 34088334, 15072477, 43176167, 70439458, 71426055, 16651970, 21147669, 80691168, 48525486, 46035848, 187451739, 57270658, 277938639, 78191777, 103190083, 23580742, 64448995, 36059279, 74514401, 114412716, 17925071, 39853586, 5564078, 46963576, 34147800, 212705378, 31194521, 68774826, 10030682, 90500402, 13392175, 64904060, 1166550, 179471924, 171853060, 243767169, 90766256, 80287119, 44342411, 90223625, 9897694, 180005608, 23458859, 131606927, 10661251, 131831804, 11128502, 105453333, 14796820, 2585693, 94510671, 86380955, 165313827, 48982349, 146145169, 58722315, 26225179, 76332171, 176068714, 9828162, 12808284, 8841244, 23136344, 62842898, 34967058, 123811467, 115402817, 4822408, 277216341, 77572742, 19222845, 20286424, 17879321, 139194714, 43573138, 79042696, 29403743, 54147679, 87856146, 64410245, 12621238, 89757976, 150049881, 30899298, 84200787, 47341948, 81377413, 132095969, 18245555, 34900327, 40907352, 90962954, 77874438, 63138071, 240264722, 162226585, 219464695, 250982482, 39880734, 85010310, 185272794, 49967043, 16282290, 39011870, 158189237 ], [ 21192448, 4770297, 761466, 27543629, 22452497, 7829423, 81223123, 10728620, 11338106, 25782497, 131298722, 74243328, 7434452, 20865873, 79910698, 15234823, 7619152, 65697428, 35540374, 14080136, 7083997, 45845130, 52292132, 34088334, 15072477, 1124982, 17558543, 18140653, 16651970, 9811063, 2683954, 19256234, 51423993, 86439671, 9919743, 55362925, 140274632, 103190083, 9985536, 36700884, 174213931, 19494935, 5668983, 41882169, 26152465, 5564078, 3890878, 5528881, 42486375, 89121664, 26014536, 78483675, 45328380, 26101962, 73729355, 10654555, 150297122, 6044690, 11163758, 44264287, 299342512, 39485907, 21762789, 26703795, 758187, 4770883, 82872766, 87689626, 158975681, 10266812, 10228779, 128499382, 2585693, 165691046, 86380955, 43492965, 27684402, 38629142, 2203688, 26225179, 85817213, 44796678, 24766906, 45077948, 7835358, 14097842, 38520287, 24270387, 4808035, 37690225, 41389283, 7492623, 23401976, 19222845, 20286424, 5229812, 136003530, 13111549, 4455127, 9350717, 35340134, 22447868, 22173503, 26737499, 25781191, 6136708, 12999458, 209831492, 35164341, 18875456, 6827926, 18245555, 1250663, 3457816, 145013118, 49996745, 82300461, 161004470, 24346444, 20672213, 7805551, 7186259, 87110961, 20809248, 59346837, 20485487, 28482892, 8385885 ], [ 314012055, 83328899, 91521943, 53684186, 22452497, 21598190, 182108133, 10728620, 11338106, 69172837, 263363664, 74243328, 7434452, 20865873, 177846892, 185523082, 71772261, 47546757, 16515986, 28941804, 17088587, 45845130, 54507159, 34088334, 4836413, 3680525, 84692831, 46274253, 4139590, 21147669, 2683954, 48525486, 36747468, 217395888, 9919743, 41163899, 3361707, 103190083, 23580742, 101321538, 39054652, 19494935, 98787651, 84396464, 24402478, 3379781, 27395305, 5528881, 158281515, 209713061, 68694705, 35578335, 5217428, 181123787, 64904060, 15689341, 136355546, 126964417, 68601867, 62180514, 64474081, 103298419, 1273891, 74046888, 109520349, 84629003, 110304335, 19618566, 158975681, 11128502, 19094705, 128499382, 29657818, 60270550, 219643383, 2550456, 142157452, 146145169, 8601732, 19249411, 283824684, 70360465, 24766906, 100543115, 143354589, 23136344, 62842898, 143590005, 31459281, 164468550, 320979361, 7492623, 8702321, 140729186, 20286424, 5229812, 8967675, 15323433, 399352508, 50564966, 54147679, 123184263, 26338059, 33373381, 89757976, 134518649, 18693703, 30623069, 45380486, 94194490, 213477171, 142510695, 8644839, 171197435, 13044790, 9524705, 17258224, 456893649, 39902837, 635348, 105648214, 184295533, 42386113, 162490566, 333454855, 41027365, 54663602, 8385885 ], [ 63235793, 4770297, 91521943, 67991332, 22452497, 270127773, 76975234, 83687780, 110370818, 260126294, 76229495, 60680714, 28059402, 158518018, 49382248, 160457762, 12103924, 144392443, 51287163, 135368577, 48757041, 145340171, 48133062, 548401, 139679255, 69170447, 16674892, 80932364, 4139590, 9811063, 32318278, 48525486, 33744510, 30842326, 9919743, 25973640, 64129861, 55837967, 9985536, 96001943, 85422202, 51533774, 18701983, 70268045, 29208741, 65511606, 11842263, 16433620, 211461577, 92707767, 195036129, 87331021, 87182160, 214862195, 10380388, 13802806, 12035173, 54756501, 14648640, 45847507, 20121294, 48287149, 13828417, 48164330, 25872681, 4770883, 107754139, 12512447, 15266253, 11128502, 160334974, 30585461, 26179740, 60270550, 33384915, 129627207, 94711742, 4232416, 95255415, 1081391, 118750294, 19213264, 260856923, 26791723, 6525405, 23136344, 197080019, 13271451, 19474049, 24582402, 55137714, 7492623, 8702321, 19222845, 15727200, 65146730, 67706453, 15323433, 65042441, 6497371, 39785202, 9498304, 53806064, 132992065, 89757976, 4696912, 27939437, 21571738, 35164341, 189182432, 31216632, 152283894, 17980645, 30976493, 7083149, 23804545, 14187457, 31609411, 1588375, 18120576, 200657863, 111448997, 6731327, 58478176, 47641767, 117220554, 54663602, 104490298 ], [ 24175356, 4770297, 9804832, 51594079, 22452497, 7829423, 76975234, 10728620, 41000754, 69172837, 75312590, 74243328, 64048943, 158518018, 110703301, 200324416, 12103924, 47546757, 43663793, 128972561, 17088587, 2892486, 54507159, 34088334, 4836413, 3680525, 56829402, 263740906, 4139590, 21147669, 33422527, 19256234, 46035848, 61760852, 9919743, 9281703, 71870895, 52916695, 23580742, 109689335, 108687630, 51285469, 41249475, 41882169, 24402478, 10151165, 3890878, 5528881, 27658597, 31194521, 22152147, 10030682, 51243350, 13392175, 64904060, 10654555, 75770217, 90552310, 11163758, 62180514, 131137979, 163526627, 13828417, 4081438, 14845455, 123772041, 8880799, 12512447, 15248152, 417808, 37140029, 53898086, 29657818, 60270550, 20588532, 40846113, 71512655, 87277172, 95255415, 19249411, 70737589, 70360465, 9828162, 118506760, 6525405, 23136344, 25127691, 34969278, 4808035, 23789715, 55137714, 7492623, 23401976, 19222845, 15727200, 5232805, 113461032, 43573138, 65042441, 26937213, 39785202, 79870237, 22173503, 33373381, 18629613, 27591677, 10649052, 21571738, 35164341, 57578459, 31533926, 70875298, 1250663, 132767123, 60708013, 9524705, 1330228, 9219250, 75954836, 68364486, 7805551, 39880734, 13035108, 4241466, 78900336, 16282290, 8438163, 44242206 ], [ 265528460, 79257412, 393668, 61964741, 33277103, 7829423, 76975234, 10728620, 11338106, 22783534, 109188026, 59684513, 71615469, 20865873, 57273016, 138251013, 10545885, 143954271, 132055237, 62336961, 17088587, 45845130, 54507159, 16439853, 4836413, 1124982, 56829402, 46274253, 10837950, 21147669, 2683954, 48525486, 51423993, 61760852, 9919743, 18914570, 11476920, 52916695, 23580742, 124941754, 85422202, 74514401, 98787651, 70268045, 57221722, 10151165, 46963576, 145062040, 27658597, 89121664, 68694705, 35578335, 82749098, 15889489, 17366602, 1166550, 99035310, 8221730, 346477548, 46977691, 189633625, 22146385, 13828417, 4081438, 155140910, 51402350, 107754139, 20876282, 106429045, 10266812, 303306937, 3453250, 29657818, 14664792, 23637993, 45985737, 27684402, 75953212, 131913687, 76106536, 1842598, 73455007, 24766906, 131598524, 90468311, 23136344, 62842898, 67753869, 123811467, 73828439, 345006576, 7492623, 8702321, 40468137, 97838497, 5229812, 204017128, 15323433, 58607856, 63858491, 138193814, 218835269, 22173503, 81970409, 265958825, 85782824, 52774061, 185295986, 35164341, 94194490, 213477171, 152283894, 93898343, 80546906, 23536374, 9524705, 37472910, 51215424, 39902837, 68364486, 810770, 9601057, 42386113, 67371950, 137772416, 86416202, 32505446, 8385885 ], [ 1420552, 4770297, 761466, 109138232, 27491392, 7829423, 12002480, 49062442, 11568794, 94492890, 192023979, 74243328, 71615469, 20865873, 84375885, 4605955, 10545885, 44778422, 5524917, 62336961, 29984501, 45845130, 54507159, 27454299, 31517016, 3680525, 56829402, 71426055, 4139590, 21147669, 2683954, 48525486, 33744510, 61760852, 9919743, 55362925, 75484273, 88427717, 9985536, 7122117, 76980764, 91631312, 15986411, 70268045, 153641521, 5564078, 29968857, 48455513, 39964966, 146691061, 26014536, 78724807, 45328380, 15889489, 10380388, 1166550, 12035173, 16110426, 68601867, 1753138, 286363094, 48287149, 13828417, 19529686, 180005608, 4770883, 131606927, 3422107, 1103758, 11128502, 132888129, 104722467, 29657818, 60270550, 74549789, 8928777, 27684402, 71500726, 10845223, 1081391, 118750294, 19213264, 23898966, 12808284, 8841244, 23136344, 62842898, 24270387, 69036259, 155322437, 55137714, 7492623, 77699861, 19222845, 20286424, 5232805, 9904138, 16019845, 58607856, 29403743, 38867257, 3028635, 56859134, 44385067, 25781191, 4696912, 14861593, 46447386, 331590962, 27831959, 31216632, 45523033, 1250663, 132767123, 61306308, 1778507, 82300461, 30194707, 22403939, 66480254, 26725647, 18566907, 15840429, 83705322, 177686360, 186745014, 34395922, 82023210 ], [ 24568957, 97085922, 9024081, 238317939, 25910147, 7829423, 126254206, 95887143, 166929293, 71013518, 162783940, 74243328, 4691642, 164892495, 7894273, 130913996, 76141940, 148363555, 229318244, 2916047, 75296911, 12478191, 25690881, 34088334, 31098762, 189470634, 19214877, 10075578, 4139590, 21147669, 145809542, 180650889, 24847453, 90961544, 9919743, 107832548, 136836269, 179669509, 42349679, 109689335, 13774441, 385546979, 34362516, 93323456, 181641064, 10151165, 17429274, 145062040, 60233218, 89121664, 26014536, 10030682, 39235449, 31737319, 17366602, 34775875, 75648262, 61674512, 14648640, 226720219, 4435304, 97783771, 166247101, 28309703, 124138703, 23458859, 107754139, 3446680, 163030879, 11128502, 62886761, 6038789, 259898495, 60270550, 99607073, 93405072, 152604625, 79561580, 95255415, 12573529, 110618098, 150882617, 12952238, 35163687, 75852891, 23136344, 4107205, 104721923, 30838529, 11347502, 62030684, 7492623, 8702321, 19222845, 59640216, 5229812, 37119810, 15323433, 90706319, 9350717, 69461843, 128179090, 22173503, 55791014, 18629613, 246766272, 74355201, 43313435, 39135251, 3674981, 25447622, 152283894, 61107429, 194919342, 19606445, 53110477, 14187457, 9219250, 39902837, 83135938, 7805551, 95242775, 7194354, 88781775, 159456483, 58157983, 8049217, 59881781 ], [ 5468845, 97067234, 21464014, 4412698, 57868309, 103244094, 29738778, 10728620, 47429823, 11570707, 975437, 343739, 44975003, 6355329, 41138122, 11438991, 40855158, 8235892, 61191946, 91072366, 22805599, 8332123, 16621108, 34088334, 7184443, 3571107, 1156155, 18660679, 36979083, 9811063, 51835958, 23768020, 13192576, 1422517, 7603521, 22598478, 63462593, 5584396, 23580742, 8362851, 108687630, 74514401, 2411081, 14539178, 23745469, 181581527, 10632330, 33027000, 7675613, 12824049, 15383545, 10030682, 17070917, 28863318, 74241463, 6693316, 1974420, 44354397, 16878635, 14786749, 17639151, 48882814, 43978709, 28309703, 28721496, 23458859, 77986125, 3934247, 58033744, 11128502, 21941788, 107498003, 26179740, 12467909, 20588532, 43492965, 142157452, 31134821, 2725695, 26225179, 8213627, 19213264, 24766906, 10058266, 41212444, 23136344, 10182779, 119620429, 37520657, 73828439, 13926909, 32053912, 11521798, 19222845, 25784813, 56868734, 64743094, 6371671, 159342348, 81208466, 38645547, 292757, 13556785, 88710090, 6430611, 2904225, 2331077, 1634069, 35164341, 10655704, 49793696, 25553150, 34900327, 36423815, 19606445, 77874438, 22497857, 9219250, 19888394, 31463377, 90308173, 67476139, 2419498, 78707398, 102807686, 114429649, 39011870, 20795764 ], [ 120029213, 13262061, 56704424, 4412698, 132286601, 7829423, 81223123, 10728620, 47429823, 22953971, 33741451, 50368910, 8799657, 63070458, 33521235, 69497626, 45960502, 10053466, 94036162, 15163429, 20524941, 49789081, 23508368, 86213678, 15072477, 12564057, 7304708, 11406184, 36979083, 9811063, 145809542, 30479417, 130629805, 61760852, 268226172, 121188832, 140274632, 56484265, 23580742, 36700884, 179450951, 74514401, 731027, 44689596, 23305849, 89998484, 46963576, 240286478, 60233218, 4933831, 15383545, 87331021, 17070917, 28863318, 74241463, 13802806, 18247964, 7865970, 243767169, 25490684, 48272422, 66703717, 33395442, 10703012, 4568015, 23458859, 9199391, 11729070, 106429045, 8937545, 94932526, 214689300, 26179740, 97447020, 137897006, 29962433, 142157452, 130470956, 24397799, 26225179, 67199024, 33612121, 24766906, 45077948, 132605470, 51831475, 178592777, 32438638, 111903470, 43076009, 119315354, 32053912, 77572742, 19222845, 64417613, 5232805, 63753642, 6700497, 30541194, 81208466, 87113125, 22447868, 17693913, 72312849, 165357810, 144122048, 751071, 49394737, 105916031, 192731599, 31533926, 289987069, 34900327, 75181303, 19606445, 77874438, 47784467, 43063736, 24346444, 62274976, 146416411, 67476139, 16222180, 64718535, 112207669, 116624874, 39011870, 114732193 ], [ 1420552, 167928483, 9357944, 81674141, 33277103, 139787774, 188805647, 130453420, 86090413, 99943189, 3134393, 46094581, 382786066, 280550276, 49382248, 70054984, 177163352, 44448228, 35381720, 63306422, 69861726, 116549018, 54507159, 146725858, 243577796, 56728813, 118151165, 325756812, 4139590, 9811063, 23682946, 128005632, 32561818, 108616651, 178318703, 85640395, 70983208, 68112369, 67387310, 181409954, 97275474, 149196458, 93852091, 10231917, 61379940, 171018813, 29968857, 11190101, 58222733, 223778508, 26014536, 97274229, 45806033, 292842322, 57797426, 13802806, 160075661, 64185138, 14648640, 155696423, 37002670, 300137156, 16614067, 3549008, 25189125, 137077539, 125181367, 28989626, 6969703, 11128502, 48646093, 45214755, 26179740, 60270550, 102316591, 129627207, 60974175, 4232416, 87506770, 1081391, 147557426, 60270032, 291354630, 152145799, 99864472, 23974405, 30046966, 106669501, 38819089, 79054276, 30206057, 8282368, 8702321, 19222845, 1520453, 87196920, 14461348, 15323433, 92652638, 150243574, 141122054, 9498304, 64410245, 77565091, 37761538, 4696912, 26186589, 55115842, 45380486, 208282623, 13584384, 154736535, 142415073, 16422542, 15882741, 18901748, 14187457, 107331995, 24346444, 83135938, 122018619, 67476139, 113648902, 127334072, 72939730, 241661366, 34395922, 28598678 ], [ 64632192, 194765066, 9357944, 7150769, 94269496, 48019938, 108092179, 221932685, 86090413, 16677736, 19971613, 29950049, 28677602, 75666424, 35305351, 74776726, 18518610, 148363555, 51287163, 115376743, 59161984, 80782010, 44698635, 34088334, 8151623, 56728813, 118151165, 12446119, 39718218, 21147669, 17851763, 72608530, 30480996, 86439671, 68892554, 22598478, 122829624, 213771212, 42945998, 37153598, 122282160, 108270510, 88954935, 107106667, 94391659, 10151165, 3053484, 5528881, 36685133, 85786520, 26014536, 10824101, 12789386, 21139736, 54048224, 10654555, 69399563, 35165228, 11163758, 69408472, 35213388, 97305873, 230418706, 12197004, 80090132, 30384576, 131606927, 49338981, 50326426, 11128502, 65080746, 43090204, 104330210, 45626345, 6748453, 61552055, 73825580, 9226336, 95255415, 47042099, 84887754, 629887, 54757914, 151467755, 61016156, 22740229, 33781767, 23518509, 10640570, 73828439, 66873785, 107097353, 23401976, 19222845, 55887444, 5229812, 47946239, 20939168, 100487645, 210341802, 202042750, 79870237, 22173503, 28666453, 20196655, 10148911, 1030147, 59222185, 14883845, 12699353, 26874402, 28438216, 93898343, 16422542, 54283146, 13721683, 14187457, 40107756, 39902837, 22717768, 7805551, 54314133, 13840029, 35781802, 24638621, 166270172, 10781558, 110212314 ], [ 78013153, 59382908, 9357944, 313207383, 60417962, 143134508, 81223123, 137518358, 64931618, 182093476, 301833837, 38819351, 71615469, 140931247, 57273016, 200324416, 63431223, 114229044, 34763096, 11171987, 29984501, 108880736, 54507159, 34088334, 157829091, 163246600, 118151165, 6242455, 85673659, 21147669, 182484876, 4276608, 130629805, 196250911, 6156183, 171320336, 89979232, 17147515, 97956987, 594342121, 5963781, 127431486, 34362516, 135106008, 58648495, 10151165, 55578239, 74810163, 17244163, 52560860, 11215878, 38680821, 27067900, 49755262, 17366602, 28456575, 179471924, 338539692, 23780893, 320022496, 6652893, 64641624, 33395442, 204473838, 160552810, 51694005, 77063264, 437562941, 174174712, 11232244, 325934179, 436432663, 69686878, 272079305, 105449809, 106643702, 166110972, 264599263, 156478635, 115527551, 103761427, 305455702, 238386474, 1972268, 26521181, 23136344, 319917457, 143590005, 16187715, 73828439, 25901517, 7492623, 23401976, 19222845, 41944541, 101953427, 64743094, 29853298, 198507300, 321143, 101731487, 132025009, 22173503, 25339270, 165357810, 150049881, 309666511, 59222185, 148676279, 6075535, 66263940, 96419578, 108892514, 14838360, 237297449, 36031943, 55263645, 226640444, 162226585, 94962878, 7805551, 85398367, 179606706, 4241466, 110795220, 92235296, 569497524, 88384837 ], [ 95863233, 46578707, 9357944, 125408234, 136245013, 7829423, 5481880, 98695490, 80612661, 71013518, 11836062, 38819351, 19464773, 15543686, 125287739, 262315441, 35635354, 48905963, 96589875, 154432701, 57071156, 32239716, 45201766, 34088334, 79409986, 163246600, 5164034, 39720231, 4139590, 21147669, 35560588, 1452202, 13565679, 87829367, 9919743, 57662041, 19940699, 12448949, 127062449, 12831493, 77935032, 115115108, 12326250, 10231917, 58648495, 10151165, 115922021, 145062040, 57139815, 15061888, 41683535, 30943191, 146341758, 21139736, 98129014, 96910762, 42519407, 126129628, 14648640, 19219834, 61606123, 85427258, 43978709, 3549008, 32124798, 16402379, 95364233, 48023100, 119049942, 11128502, 29137912, 87107225, 104330210, 60270550, 20588532, 36033724, 210130381, 39444211, 9715890, 7071017, 5105700, 99339, 11914058, 130404907, 86013145, 23136344, 143230333, 80573135, 14406541, 73828439, 25901517, 7492623, 23401976, 19222845, 62289908, 6854191, 26063013, 43573138, 18524312, 67418016, 49829650, 79870237, 22173503, 25339270, 67604642, 80373347, 6657129, 29326095, 26894823, 63829230, 31533926, 96419578, 61107429, 3457816, 15417108, 1778507, 14187457, 9219250, 65373577, 1539239, 7805551, 18566907, 49110469, 43439840, 46350896, 83112910, 54663602, 158189237 ], [ 114954004, 14626638, 19696912, 3988352, 3057897, 5333418, 104730554, 70932709, 16684911, 69172837, 22907577, 27093854, 8799657, 164380630, 6215871, 12647727, 35635354, 68741360, 51287163, 2174876, 3124894, 227628460, 56547, 16439853, 4836413, 26094442, 1423423, 46274253, 36979083, 9811063, 35959395, 9444588, 30480996, 178352686, 68892554, 18914570, 140274632, 88427717, 42945998, 36700884, 19096358, 163379332, 44688057, 31498261, 13080310, 10151165, 46963576, 8498641, 17323077, 52560860, 52262098, 72386568, 27067900, 22115510, 74241463, 13802806, 44384809, 6044690, 14648640, 53154926, 13948418, 98501625, 166247101, 8061475, 28367226, 23408616, 28258023, 20876282, 33734355, 11128502, 86224, 72297439, 2845033, 4311758, 5921631, 35433692, 110310418, 52704067, 16500950, 68416029, 82797508, 87146798, 24766906, 105706965, 26521181, 23974405, 72647686, 39506831, 75863368, 25591598, 28190893, 74318563, 389086, 19222845, 133625491, 42791092, 27230268, 20960685, 44293612, 11632480, 61104428, 22447868, 22173503, 123262322, 17581725, 54920280, 52774061, 59222185, 12916455, 88544910, 79237933, 75624451, 102819680, 2960037, 66053877, 13721683, 14187457, 55223196, 24346444, 20672213, 7805551, 23424037, 37426293, 56787075, 26256355, 425348, 13252763, 158189237 ], [ 20355458, 13262061, 154190, 69399726, 3882449, 7829423, 3741156, 9575149, 47429823, 16677736, 69883608, 74243328, 83407527, 118472440, 23609316, 2714189, 148249129, 44743016, 68485894, 122040695, 58345481, 83754180, 45201766, 16439853, 7988859, 31422996, 37045815, 31043805, 4139590, 21147669, 161280117, 14104276, 130629805, 86439671, 111415018, 18914570, 140274632, 81304738, 23580742, 37153598, 151956851, 26920336, 34362516, 31729663, 9503165, 5564078, 22487531, 98960917, 60233218, 5935224, 26014536, 36602426, 45328380, 27015611, 74241463, 22160100, 107804178, 14241066, 76524866, 37539156, 54524408, 36211929, 166247101, 15008321, 109739542, 23408616, 97934412, 38589562, 136008509, 11128502, 94932526, 160583747, 7688664, 30575984, 137897006, 24883461, 48982349, 144514559, 138552246, 19249411, 57535088, 155898256, 24766906, 140116245, 8841244, 196223621, 172479042, 65933766, 49868365, 1660998, 97312249, 13331112, 53375586, 19222845, 166471563, 1468993, 10287883, 26937902, 22583067, 91173177, 90727368, 23230623, 4745133, 19316330, 28646826, 10148911, 55135727, 63785001, 61328274, 52318672, 31533926, 51741633, 34900327, 101871907, 144199753, 56581478, 60428375, 111012402, 39902837, 83135938, 43942944, 67476139, 110537957, 29163531, 121871649, 102896638, 54663602, 158189237 ], [ 33961592, 13262061, 40672129, 4412698, 136245013, 14956668, 81223123, 10728620, 47429823, 41321571, 46597831, 74243328, 7434452, 42634458, 59603933, 34778189, 22001337, 10053466, 1252292, 7746017, 29984501, 256367791, 23508368, 34088334, 15072477, 47168326, 17558543, 31043805, 23013064, 9811063, 43789112, 5892132, 32561818, 30705108, 9919743, 180270267, 55349477, 135587749, 23580742, 26723723, 36108440, 74514401, 34362516, 119511733, 23305849, 40479046, 15905892, 145062040, 60233218, 12824049, 26014536, 10030682, 87034032, 211551143, 74241463, 13802806, 76196386, 6088663, 14648640, 166648422, 4435304, 74701559, 33395442, 22798910, 172392454, 81270623, 102659277, 20876282, 6438679, 11128502, 19094705, 41498887, 26179740, 30575984, 137897006, 51564987, 21526573, 25369199, 87506770, 6015963, 86903276, 23948815, 24766906, 41983638, 87794014, 20621044, 38087537, 41690395, 118337074, 13623272, 30206057, 7492623, 53375586, 42278755, 125728427, 5232805, 59133286, 43573138, 127742492, 311522, 10001218, 22447868, 1537528, 132992065, 29603894, 101189550, 77177965, 81776008, 263038993, 48503409, 8198026, 57925024, 34900327, 70427007, 19785035, 18901748, 250830, 18596849, 6890, 20672213, 18033464, 67476139, 29551890, 111746899, 159456483, 129670957, 4450784, 150343973 ], [ 3845347, 22529708, 82475550, 92108188, 96817388, 7829423, 51690587, 10728620, 5001174, 96735544, 33741451, 31602244, 8799657, 67212183, 23609316, 31653922, 35635354, 43452128, 59769800, 138673085, 29984501, 12478191, 48133062, 102327, 5268798, 43176167, 17558543, 40552008, 4139590, 9811063, 161280117, 70712698, 28190702, 19490018, 9919743, 107832548, 890299, 90589342, 23580742, 26723723, 10325177, 26920336, 6687197, 23274140, 57368460, 5564078, 2142306, 16582244, 50169935, 33280560, 17059383, 38680821, 45806033, 19723734, 32226918, 4957089, 24442330, 7865970, 14648640, 29773066, 63621519, 39902596, 24636218, 6997805, 25189125, 49879237, 17596756, 403912, 58456141, 7789227, 26353907, 108351686, 26179740, 12467909, 64540333, 68533340, 21526573, 1374860, 19353368, 18724494, 8227126, 28337777, 24766906, 15154920, 8841244, 23136344, 26321502, 14290980, 52984891, 73828439, 13926909, 7492623, 53399752, 2279026, 119176544, 5229812, 5674697, 969713, 17408166, 4597866, 14369341, 22336430, 37542637, 70745804, 19451382, 2904225, 6372954, 1634069, 35164341, 29698350, 49678368, 36304126, 108328295, 3457816, 14399733, 18901748, 9418207, 23492002, 24346444, 5215278, 32182005, 3515316, 6464083, 4241466, 109834191, 21819546, 4450784, 93441626 ], [ 222145924, 31794376, 50258524, 4412698, 90407784, 7829423, 60053269, 9756093, 28628523, 60963614, 30421189, 1616244, 4691642, 6355329, 110703301, 51959001, 166706978, 58008113, 29159332, 18375387, 29984501, 49902916, 54507159, 34088334, 50725108, 43176167, 16674892, 46274253, 4139590, 21147669, 32318278, 67516099, 130629805, 164085229, 37509019, 107832548, 63462593, 300825814, 127931301, 194479144, 182319031, 10259202, 34362516, 124972417, 37029892, 2955732, 27135221, 145062040, 60233218, 12824049, 26014536, 23826703, 36856315, 213248139, 62202479, 737736, 12117388, 25343791, 11163758, 11562244, 192823254, 48882814, 33395442, 48164330, 2412463, 42677988, 77353070, 20876282, 18270592, 11128502, 47738403, 19653840, 2585693, 59495659, 58831774, 109085950, 13850065, 4232416, 72091683, 19249411, 56486132, 71711933, 53781263, 87032792, 32908317, 23136344, 37142613, 16194074, 35901352, 12571273, 78572977, 142323155, 112610509, 19222845, 16769773, 5229812, 26063013, 3374612, 34258158, 321143, 12004709, 1121340, 12279330, 119781051, 140123331, 42615874, 14861593, 58570577, 35164341, 33265936, 6727508, 18245555, 110012260, 75222315, 40484624, 1778507, 14187457, 135279616, 39902837, 7574241, 94473358, 18566907, 78098369, 4241466, 76355897, 14739088, 25998915, 67499877 ], [ 84401073, 75324996, 71506620, 4412698, 25910147, 23625535, 40352268, 41655514, 11338106, 227422075, 42522121, 17470031, 128468263, 112837364, 57273016, 79205732, 37800152, 29466415, 5312691, 40620308, 116079608, 12478191, 48133062, 34088334, 94553743, 169774264, 37045815, 61290542, 85673659, 59512096, 24016066, 385182958, 6195173, 165811569, 45833784, 93079440, 85660278, 85157979, 115994671, 161168419, 131749997, 39668587, 4528959, 1120881, 7150152, 49281557, 170764325, 36186703, 22610458, 12824049, 26014536, 27727956, 58357718, 24471481, 125932045, 151115724, 61858527, 31008644, 120163596, 96586250, 227218977, 46481541, 116329968, 28309703, 72999968, 95964141, 116844005, 111880877, 43269975, 164017104, 22704879, 6038789, 43998752, 118429636, 1476990, 52498703, 69710786, 63985327, 72091683, 7071017, 269876365, 99339, 144419362, 26791723, 12184028, 23136344, 101146882, 143590005, 47087107, 73828439, 122277940, 9952316, 23784522, 19222845, 28937279, 5229812, 9904138, 43573138, 30547542, 2213233, 65617721, 79870237, 57371164, 88710090, 18629613, 42055225, 3435798, 37832673, 118933817, 26274145, 147594662, 11790340, 115638245, 75181303, 183325577, 77874438, 82120462, 116940943, 39902837, 227634995, 98344, 67476139, 18817578, 40657849, 12114064, 435243392, 22473444, 8385885 ], [ 133767379, 43079110, 13184479, 18520017, 25910147, 31619883, 108092179, 195021053, 28628523, 55614629, 14237765, 74243328, 65689087, 36020946, 49382248, 97584839, 76466105, 148363555, 61898119, 46366246, 48757041, 88262117, 54507159, 73384043, 79409986, 222447447, 8694735, 67285773, 4139590, 21147669, 100177753, 120073101, 39949637, 108616651, 9919743, 157953752, 85660278, 43074036, 53354759, 37153598, 162434893, 16195468, 49905013, 121539835, 175894175, 48317508, 48561070, 53239987, 31732514, 29578347, 26014536, 30257612, 132272177, 109565665, 68214528, 19137847, 86578241, 8221730, 38478205, 16330527, 17639151, 67714519, 118450694, 135659761, 25872681, 23458859, 131606927, 44645223, 36603489, 11128502, 140177897, 64298649, 39904752, 30813733, 20588532, 14124872, 60974175, 4232416, 25404180, 19249411, 38633454, 60270032, 11914058, 60866682, 135910808, 39818797, 49789777, 143590005, 11642142, 40616298, 81062078, 7492623, 26591430, 19222845, 113716967, 140188466, 8103873, 23010902, 34258158, 43516460, 60218234, 106473325, 64410245, 93370610, 18629613, 36643396, 146092859, 55990207, 109750950, 246849170, 150720693, 103750835, 62702179, 107518219, 24729259, 76708615, 48719828, 10451778, 65373577, 820007, 10094996, 76350134, 63737771, 193619970, 23136354, 84347372, 8625382, 82023210 ], [ 69130284, 21565244, 37673258, 4412698, 136245013, 7814850, 34444996, 187419269, 213389883, 166808961, 19436251, 69354034, 61308600, 39470876, 89242208, 215075661, 71932329, 113128695, 76057759, 131129715, 29984501, 32527896, 45201766, 13165614, 31098762, 59178513, 37045815, 31043805, 85673659, 21147669, 26786137, 70712698, 6963277, 19490018, 45263395, 107832548, 28888652, 28772929, 9985536, 194479144, 38375191, 124550739, 34362516, 44689596, 239972320, 181581527, 6524224, 145062040, 60233218, 12824049, 26014536, 87331021, 120989995, 21139736, 98129014, 28754582, 1974420, 500064, 64479565, 21392781, 35055757, 163526627, 33395442, 28309703, 88274678, 4770883, 131606927, 52925033, 16242110, 11128502, 232169778, 42665823, 104330210, 12467909, 197622015, 48312103, 31159805, 31134821, 50338537, 123777388, 110618098, 46179394, 280442352, 152145799, 139037016, 572220, 14478024, 63306276, 20337306, 12571273, 7903880, 111189154, 53375586, 19222845, 22589721, 5229812, 45218062, 3374612, 38213349, 81208466, 56615439, 45232064, 64410245, 178227971, 40464, 77268489, 40607043, 53618226, 12074687, 10655704, 31533926, 51741633, 17980645, 164522673, 14117719, 74931875, 60428375, 31934816, 39902837, 33083659, 1819671, 54314133, 6464083, 60824456, 77755570, 29306247, 52134026, 49707727 ], [ 133926305, 13262061, 91521943, 112693874, 86785434, 88259316, 81223123, 176404836, 11338106, 11570707, 63894381, 74243328, 37973525, 174118816, 108366247, 266525115, 40855158, 112288238, 29159332, 61684354, 29984501, 138750588, 54507159, 34088334, 35513713, 43176167, 37045815, 8874972, 22218327, 21147669, 104329566, 11712567, 92420806, 92833711, 9919743, 40825493, 70535585, 5584396, 20088130, 37153598, 111039082, 10259202, 98787651, 19031753, 107877929, 52521323, 15905892, 14156480, 84387194, 407588479, 26014536, 72386568, 246096465, 211551143, 36212708, 52315371, 69399563, 19326827, 395210769, 37539156, 63621519, 48683133, 33395442, 12293544, 83584128, 61289299, 131606927, 146382436, 158975681, 11128502, 94932526, 65611756, 110406079, 126691931, 137897006, 95874261, 65833966, 285058311, 145075117, 108979105, 47164747, 146298275, 9350790, 17277866, 135910808, 23136344, 39461794, 25613246, 49603477, 25966059, 119485024, 7492623, 53375586, 19222845, 31074504, 5229812, 114296421, 43573138, 76313580, 186259213, 207472463, 218835269, 56306782, 42464866, 97333187, 136739244, 160122026, 43313435, 24370742, 94194490, 17484418, 65918568, 34900327, 142050395, 19785035, 77874438, 18317822, 9219250, 39902837, 7574241, 119998240, 173373389, 27714288, 78707398, 20069025, 166270172, 56966487, 8385885 ], [ 20355458, 13262061, 20372787, 4412698, 53044868, 7829423, 8269977, 10728620, 44920691, 24998085, 33741451, 74243328, 34739738, 13920403, 57273016, 83543011, 7619152, 8106186, 188559672, 14622772, 14783205, 99930472, 3681839, 30265834, 8151623, 43176167, 17402290, 71426055, 36979083, 9811063, 3901026, 30479417, 25645852, 19490018, 9919743, 22598478, 71870895, 25552190, 23580742, 26723723, 36108440, 74514401, 34362516, 31729663, 45109329, 3379781, 8279222, 145062040, 27658597, 12824049, 26014536, 10030682, 12789386, 17954874, 16043503, 10654555, 31988508, 31203009, 14648640, 6610976, 202726152, 145633933, 33395442, 4081438, 758187, 23458859, 6272103, 11729070, 50326426, 8937545, 89756829, 94246456, 1721996, 6787830, 9867457, 10830923, 26633138, 34125965, 42791857, 26225179, 113375463, 10158467, 24766906, 47932582, 8841244, 23136344, 42278587, 63061736, 74453127, 5362144, 28854300, 7492623, 20417441, 19222845, 53228453, 177986462, 9904138, 6823891, 43335639, 3962925, 54147679, 15546031, 11567449, 15381447, 29603894, 26796984, 38484741, 3824292, 35164341, 20602581, 49678368, 20229549, 34900327, 41276921, 130224976, 37495361, 6292514, 9219250, 3401132, 51565532, 7805551, 67476139, 6464083, 4241466, 23136354, 7885366, 134540671, 21660261 ], [ 24568957, 22529708, 9357944, 4412698, 50423338, 7829423, 76975234, 3281703, 31816588, 139751211, 19436251, 32778033, 34739738, 75666424, 57273016, 104223671, 7619152, 44448228, 38791257, 2174876, 29984501, 46042705, 52292132, 34088334, 15072477, 163246600, 7868675, 9297054, 36979083, 9811063, 33422527, 70712698, 32561818, 528225, 9520884, 22598478, 16030056, 125350875, 49778064, 36700884, 38834535, 9182292, 27648371, 42432070, 88335581, 52150253, 8279222, 145062040, 28791263, 12824049, 26014536, 7980156, 45328380, 21139736, 57797426, 10654555, 78899216, 43864614, 14648640, 63263822, 53360181, 44938453, 33395442, 28309703, 758187, 8956649, 9903185, 11729070, 86008404, 8937545, 24960319, 85437106, 1721996, 10346753, 20588532, 9022882, 58252305, 52704067, 87506770, 6015963, 110618098, 6306853, 40525522, 26410859, 29354841, 23136344, 15336727, 63061736, 52984891, 5362144, 28854300, 7492623, 59163744, 19222845, 9153392, 67724744, 9904138, 20960685, 8006431, 30702354, 30132042, 22447868, 21893811, 12721022, 34483389, 10148911, 4125275, 26174063, 35164341, 97144604, 55955951, 35473449, 2481253, 75181303, 41599599, 18901748, 2396252, 114728813, 24346444, 11520981, 7440492, 54314133, 6464083, 12797032, 37146098, 49757387, 105164074, 54727878 ], [ 132178582, 12894024, 20551867, 4412698, 18948095, 7829423, 108092179, 88185506, 11338106, 43240855, 23414985, 39214725, 22757081, 164892495, 57273016, 12647727, 7619152, 115646117, 5312691, 2174876, 58345481, 56368639, 54507159, 34088334, 8151623, 455495, 44716106, 79277097, 39718218, 21147669, 66501440, 37980700, 32561818, 528225, 62623214, 107832548, 66556052, 5852998, 48776932, 37153598, 125121146, 7658704, 34362516, 744442, 84671447, 52150253, 144838716, 145062040, 60233218, 12824049, 26014536, 87331021, 12789386, 31737319, 32722070, 58717323, 63710292, 26083446, 11163758, 6610976, 11937625, 51921857, 17099733, 8061475, 758187, 81270623, 30982871, 53716457, 23333317, 11128502, 27213168, 178537767, 1721996, 12467909, 735929, 116247650, 15803421, 52704067, 10845223, 26225179, 158372656, 26643851, 27868436, 58739208, 12184028, 23136344, 12729630, 63061736, 33113321, 46562610, 28854300, 32053912, 85918688, 19222845, 55887444, 5229812, 14461348, 6823891, 8006431, 26937213, 57799549, 79870237, 64410245, 2842731, 2199822, 10148911, 19570961, 43313435, 4854131, 57357049, 66279234, 116774083, 19988451, 90912985, 7589043, 77874438, 14187457, 9219250, 28110601, 226622555, 53613812, 67476139, 6464083, 49524043, 37146098, 131202655, 71420906, 8385885 ], [ 14107149, 73957937, 5994970, 4412698, 83464253, 48019938, 7199722, 20816915, 11338106, 22953971, 19436251, 25903025, 8799657, 63070458, 57273016, 42286843, 7619152, 10053466, 14248063, 19344876, 29984501, 32527896, 52292132, 12404063, 15072477, 455495, 10281903, 10607081, 1579701, 6847388, 80691168, 70273007, 37924836, 90961544, 9919743, 23372866, 110448611, 60030229, 16145391, 36700884, 11142073, 39668587, 34362516, 744442, 39039705, 109407790, 64958817, 5528881, 60233218, 12824049, 26014536, 20481205, 85872976, 31737319, 64904060, 13802806, 20533806, 7865970, 14648640, 63263822, 10530215, 49707186, 33395442, 28309703, 758187, 23458859, 9199391, 20876282, 13933753, 11128502, 27213168, 93385770, 4760458, 20330484, 7495322, 99069269, 15803421, 56701402, 83933135, 26225179, 49030490, 100430043, 27707243, 140116245, 65010267, 23136344, 4519966, 34969278, 36523646, 73828439, 90594670, 7492623, 53375586, 16402299, 103034664, 5229812, 10034606, 6823891, 19789974, 9350717, 7479796, 22447868, 17693913, 28666453, 2199822, 28337482, 158933417, 7617984, 60066507, 13345371, 95156731, 51084713, 34900327, 13133469, 19606445, 68037388, 14187457, 57047011, 24346444, 22717768, 7440492, 151055679, 74542757, 587878, 64698803, 84684346, 127634368, 8385885 ], [ 182205670, 41675453, 91521943, 4412698, 136245013, 62382809, 123781816, 10728620, 47429823, 280269153, 119367130, 74243328, 71615469, 307610120, 57273016, 299491671, 126091261, 148363555, 387799, 14622772, 6446714, 292543238, 54507159, 34088334, 15072477, 44920942, 26202713, 82291641, 85673659, 21147669, 115323660, 70712698, 130629805, 19490018, 9919743, 183646929, 15948992, 40851815, 23580742, 61670470, 151956851, 21288678, 72772030, 124972417, 91602753, 37449118, 11657435, 53726468, 42823446, 12824049, 26014536, 87331021, 51512369, 67955405, 74241463, 86751626, 179471924, 500064, 14648640, 329058456, 457126191, 73813420, 166247101, 28309703, 282561633, 23458859, 131606927, 307023511, 52611117, 11128502, 140177897, 126197054, 258658760, 12467909, 18865190, 152285872, 142157452, 69715463, 95255415, 26225179, 110618098, 77870115, 24766906, 90795094, 71345950, 23136344, 14478024, 28284679, 37520657, 69120244, 28854300, 7492623, 77572742, 19222845, 133625491, 307927870, 204781085, 26937902, 8006431, 67418016, 118121765, 116518104, 64410245, 93979583, 106305271, 150049881, 257372051, 43092582, 28555509, 230631086, 100589418, 117837458, 79502947, 41276921, 223057067, 37495361, 14187457, 204802551, 162226585, 5215278, 1819671, 76350134, 6464083, 39724630, 234412913, 166270172, 233926784, 158189237 ], [ 21192448, 97085922, 12362348, 2276909, 125013236, 6017697, 89772197, 74987309, 47429823, 280269153, 60770652, 55136879, 7556069, 3178571, 228638855, 218429089, 76466105, 58008113, 12391826, 77290886, 48046939, 176407070, 54507159, 34088334, 87236638, 47168326, 30639148, 11489401, 36979083, 9811063, 145809542, 4547389, 13852429, 19490018, 9919743, 107832548, 66556052, 45272953, 53354759, 26967154, 150717663, 35614756, 374018, 110013890, 8583015, 72681927, 46963576, 5528881, 60233218, 12824049, 26014536, 87331021, 246096465, 28863318, 27230824, 13802806, 86578241, 71019915, 30106976, 189267697, 41515455, 97305873, 12323739, 15008321, 3254430, 23458859, 131606927, 123727492, 60730647, 11128502, 30997187, 17673061, 6282130, 12467909, 28568245, 14124872, 1571982, 165296508, 24397799, 24609254, 1937790, 156045941, 24766906, 64966267, 128009434, 23136344, 143989921, 143590005, 48669013, 73828439, 28854300, 7492623, 173423093, 94201388, 99686053, 5229812, 47946239, 29712968, 272014843, 81208466, 12257796, 10238619, 64410245, 28666453, 13511225, 23326884, 54080075, 21780918, 26093144, 68911876, 31533926, 74256452, 108892514, 49760870, 54283146, 68037388, 123359600, 424844802, 24346444, 40951822, 103526719, 67476139, 6464083, 7340653, 223595272, 45457698, 13486249, 158189237 ], [ 108766909, 8495194, 91521943, 27543629, 104338932, 7829423, 6300175, 12293595, 62136035, 14650532, 5436539, 74243328, 8799657, 63070458, 14643208, 3170340, 96747134, 31581125, 43099324, 2074450, 1347534, 46042705, 54507159, 34088334, 21710163, 3571107, 15428646, 46274253, 4139590, 9811063, 182484876, 25618834, 40279073, 187666223, 9919743, 22598478, 209660942, 11986853, 53354759, 194479144, 5680373, 39668587, 76959173, 124972417, 64624059, 181581527, 96064311, 84197585, 134778103, 60223950, 13449840, 38680821, 61360119, 67955405, 98129014, 13802806, 43231936, 6044690, 10017132, 77820875, 41515455, 128734542, 22532954, 48164330, 25872681, 13462727, 9199391, 20876282, 36603489, 11128502, 22704879, 188363201, 26179740, 3573302, 49142220, 24271522, 164224496, 4232416, 51153806, 19249411, 164819682, 351104539, 93041348, 57166265, 7835358, 23136344, 119891652, 38692286, 52984891, 23707058, 7221006, 7492623, 50832054, 90834643, 96035221, 92670162, 63753642, 43573138, 173392573, 32328827, 58485323, 22447868, 64410245, 37569632, 119293810, 6136708, 120722905, 16309932, 25710994, 18875456, 43458299, 7425195, 691681, 179655531, 9406526, 41154399, 14187457, 23662301, 24346444, 31231186, 48153557, 119956702, 17832662, 4241466, 212983826, 15123677, 54663602, 20795764 ], [ 104428133, 83328899, 9024081, 4412698, 9926922, 137298038, 3430408, 130453420, 47429823, 56838268, 138048563, 55136879, 71615469, 189729258, 57273016, 41794532, 76141940, 78537317, 129647362, 138673085, 29984501, 183131299, 54507159, 34088334, 11976576, 24683476, 127980635, 325756812, 16550183, 9811063, 135772102, 29057547, 6538953, 19490018, 9919743, 116097973, 28888652, 90589342, 17548561, 69908728, 168537455, 19494935, 34362516, 44689596, 82228011, 10151165, 22487531, 145062040, 1145374, 12824049, 26014536, 86665551, 15119195, 21139736, 74241463, 10654555, 177760154, 71019915, 14648640, 47555846, 8089930, 109170840, 11447161, 48164330, 196741450, 34035772, 9903185, 313465, 47853999, 7789227, 81048222, 166078129, 26179740, 12467909, 18865190, 56691253, 52492171, 165296508, 95255415, 26225179, 76332171, 19618925, 24766906, 140116245, 85803485, 7244825, 32312309, 121374434, 223189329, 5362144, 28854300, 7492623, 8702321, 3742469, 102173972, 36828481, 64743094, 15323433, 8006431, 9350717, 24874990, 22447868, 22173503, 94345274, 100601120, 2904225, 16100879, 134272180, 9501087, 48503409, 8198026, 16284884, 34900327, 259420844, 43036461, 37495361, 14187457, 90883519, 24346444, 11442245, 7805551, 37227739, 6464083, 32373667, 61553208, 45892593, 77709879, 54727878 ], [ 97343514, 12894024, 21173329, 68871506, 36482628, 7829423, 81223123, 56406950, 47429823, 82379629, 42493755, 55136879, 4691642, 6355329, 60931390, 79953024, 98507634, 58008113, 172683996, 53461918, 29984501, 97165148, 8073689, 93051760, 95063247, 47168326, 37045815, 75995835, 4139590, 9811063, 60736346, 95139764, 18660227, 84511049, 168371793, 99146047, 63462593, 37857414, 56380374, 194479144, 13774441, 124550739, 34362516, 6081311, 75524131, 48029520, 46963576, 33499644, 60233218, 85786520, 26014536, 35578335, 6452645, 99960229, 2150421, 13802806, 87782041, 19744491, 14648640, 33918957, 17639151, 48882814, 33395442, 27213879, 150167009, 23458859, 60880866, 107018213, 171136297, 11128502, 22704879, 121633217, 16268261, 30813733, 18299068, 85099691, 30996843, 11332548, 26859208, 19249411, 116642349, 48002831, 14834384, 26791723, 26953372, 8512282, 74075798, 14071111, 57973781, 73828439, 69775, 20885479, 26591430, 19222845, 46717794, 5232805, 8103873, 5905850, 9675720, 72495264, 138193814, 22447868, 53806064, 114835017, 36604720, 88530725, 74355201, 58570577, 13069490, 92002633, 31533926, 5234397, 19988451, 13503939, 7416612, 9524705, 13361038, 81750125, 24346444, 820007, 45827954, 137454732, 42386113, 78707398, 2006530, 176846329, 54663602, 79081622 ], [ 40984537, 12894024, 113505080, 188306336, 106959149, 7829423, 84593932, 24065146, 346816503, 14650532, 151853792, 28429720, 24388200, 307610120, 78773893, 41574475, 21648735, 66948579, 51287163, 39819910, 69861726, 29555188, 54507159, 65539495, 255093678, 136827523, 1271261, 2566108, 4139590, 116829326, 90105736, 247786119, 130629805, 6952233, 9919743, 25973640, 22717072, 214013680, 94263588, 212033412, 108080419, 100461575, 98787651, 225407354, 239972320, 12150853, 112241530, 262047619, 230997778, 85559552, 26014536, 87331021, 95412116, 25593956, 151375175, 240404522, 42397331, 172965204, 14648640, 159921139, 36049827, 88409505, 46279921, 27329795, 113507562, 23458859, 40681939, 78888001, 17798266, 254692478, 3520474, 10755386, 49435596, 60270550, 117191770, 76258876, 687837, 90102240, 85213851, 19249411, 91958624, 48006655, 49321078, 152145799, 20346269, 23974405, 44128039, 143492509, 1278808, 24582402, 1357031, 7492623, 26591430, 19222845, 307478220, 37226173, 1990188, 43573138, 26411500, 43516460, 229021523, 79870237, 91705512, 5129663, 140130302, 191618995, 1467609, 54216714, 35164341, 48503409, 8198026, 86645591, 19988451, 75091584, 44866305, 49813146, 6742091, 92925563, 226847311, 52003937, 151909094, 20750769, 87869340, 78707398, 151005702, 174865131, 14275428, 53692391 ], [ 35045781, 83328899, 91521943, 4412698, 62582630, 7829423, 81223123, 3281703, 31558631, 38268019, 8810864, 65444334, 40131892, 63070458, 12809285, 13112516, 126091261, 10053466, 21654249, 138673085, 17088587, 17955149, 16621108, 29696371, 4836413, 169774264, 7304708, 2110697, 4139590, 21147669, 50069238, 9423297, 68623986, 1422517, 5408496, 107832548, 110202544, 125350875, 32765113, 54081881, 78523311, 26920336, 34362516, 4765507, 56922905, 23438502, 132246777, 57322508, 26619595, 12824049, 26014536, 15202706, 98355276, 22453053, 98129014, 52376212, 75648262, 14241066, 25272896, 79439028, 61606123, 91164240, 33395442, 28309703, 4695700, 23458859, 9199391, 71913506, 26803841, 11128502, 3837077, 3453250, 4760458, 60270550, 18865190, 65098440, 64072588, 54262223, 35290957, 19249411, 63723495, 48006655, 40525522, 42262263, 48737309, 23136344, 4519966, 37371726, 71606681, 169613490, 27460128, 7492623, 129731800, 42278755, 120735902, 5229812, 37119810, 6371671, 8006431, 26937213, 22953946, 17901753, 20159442, 78945370, 32343983, 35033547, 50783039, 93866529, 35164341, 48503409, 8198026, 32361956, 61107429, 24390536, 5980540, 37495361, 14935790, 30172925, 13259227, 83135938, 43942944, 9601057, 87110961, 30294394, 81256842, 144915952, 54663602, 12517399 ], [ 23051387, 13262061, 91521943, 74511019, 33277103, 7829423, 81223123, 7341564, 11338106, 56281284, 119367130, 16858700, 40131892, 69439694, 7894273, 273535015, 18518610, 10053466, 55900698, 12230160, 29984501, 83754180, 25690881, 34088334, 8151623, 47168326, 37045815, 75995835, 4139590, 21147669, 145809542, 9423297, 92420806, 40578907, 7603521, 46329521, 70735610, 125350875, 23580742, 194479144, 10569261, 74514401, 34362516, 107106667, 133202078, 12349849, 13439030, 5528881, 60233218, 5477500, 26014536, 87331021, 12789386, 42172549, 74241463, 13555269, 75648262, 4698523, 14648640, 14786749, 4435304, 163526627, 33395442, 28309703, 180005608, 23458859, 131606927, 71913506, 50326426, 11128502, 22704879, 93385770, 4760458, 23551181, 6528865, 93050969, 142157452, 74305015, 44841138, 19249411, 49164206, 51068483, 24766906, 173682393, 128009434, 23136344, 38087537, 104721923, 13962501, 11347502, 119485024, 7492623, 8702321, 42278755, 59640216, 5232805, 37119810, 6371671, 53710997, 81208466, 118121765, 31420066, 42410573, 33373381, 3452385, 10148911, 74355201, 93866529, 35164341, 16848065, 7723792, 152283894, 26425440, 170616563, 75347219, 28110410, 14187457, 34703868, 62856254, 22221844, 211467032, 163103553, 7194354, 64718535, 159456483, 166270172, 54663602, 8385885 ], [ 91375704, 97085922, 91521943, 63539495, 100414025, 7829423, 128780230, 129536726, 11338106, 90094578, 41492799, 74243328, 629418, 67212183, 110703301, 39070086, 259690407, 4961308, 99311669, 94984989, 51219801, 49789081, 54507159, 34088334, 8265352, 43176167, 19214877, 8874972, 4139590, 21147669, 54383070, 184926418, 47875598, 218118145, 9919743, 107832548, 93550397, 321774995, 69255846, 101321538, 13774441, 31823268, 34362516, 124972417, 52525952, 23599389, 218136513, 5528881, 34932760, 223778508, 2927733, 38680821, 8988401, 18581997, 47110452, 28456575, 179471924, 6044690, 66967279, 175877982, 2778699, 111055750, 77937664, 28309703, 28367226, 152204219, 6398732, 3446680, 63628992, 11128502, 65080746, 148214483, 316337310, 11551965, 89499044, 11067886, 152604625, 71500726, 56796422, 19249411, 222406064, 176068714, 12952238, 413767224, 32908317, 23136344, 122214720, 15301898, 21518661, 61638654, 196500720, 194630, 11638314, 124127201, 129602095, 5229812, 9904138, 43573138, 272014843, 30702354, 69461843, 79870237, 19581205, 33373381, 25172424, 101798685, 94978857, 9460739, 164647481, 94194490, 107448892, 152283894, 108892514, 159014991, 36793706, 53110477, 51130956, 108381644, 39902837, 83135938, 105648214, 67476139, 142662399, 4241466, 260014068, 110288670, 54663602, 8385885 ], [ 138896749, 41675453, 91521943, 204536025, 89648487, 7829423, 81223123, 10728620, 47429823, 280269153, 113396741, 55136879, 9043931, 107501630, 158455150, 69497626, 76141940, 29437317, 170804124, 56392526, 29984501, 228018192, 54507159, 34088334, 21710163, 43176167, 26468430, 75995835, 85673659, 21147669, 35615106, 48525486, 168067667, 187666223, 5408496, 180270267, 13745917, 90589342, 23580742, 48807174, 85422202, 31823268, 34362516, 744442, 36597070, 10151165, 46963576, 22889258, 60233218, 33572050, 26014536, 56600861, 169379681, 16706657, 17366602, 296656290, 179471924, 16554496, 14648640, 175877982, 315269703, 150536470, 32872819, 10703012, 180005608, 8767110, 70797506, 14403749, 163116731, 11128502, 22704879, 50154516, 43998752, 118429636, 20588532, 68673199, 39107390, 71500726, 43615876, 88088446, 8213627, 156045941, 12952238, 35759626, 138639582, 23136344, 44984321, 143590005, 80474895, 73828439, 446275943, 194630, 11638314, 19222845, 17303952, 59895738, 9904138, 43573138, 34881830, 30702354, 235488427, 79870237, 22173503, 18143679, 106305271, 182122481, 30097089, 3824292, 35164341, 101462419, 364340403, 152283894, 99740644, 259420844, 84686121, 12788432, 14187457, 117962999, 3165672, 94962878, 7805551, 67476139, 17832662, 30294394, 111618185, 110288670, 198321355, 82023210 ], [ 274333149, 13262061, 42205187, 47917007, 84104608, 7829423, 34444996, 10728620, 11338106, 77985592, 42522121, 26003931, 71615469, 13949632, 147782651, 107009234, 18518610, 10648837, 5312691, 42960394, 20524941, 61045019, 45201766, 34088334, 8151623, 21434280, 17558543, 8874972, 85673659, 21147669, 57079859, 5892132, 25166883, 61760852, 9919743, 22598478, 75484273, 89858491, 23580742, 36700884, 51409737, 26317362, 34362516, 71133906, 125933256, 5564078, 46963576, 145062040, 2543553, 4933831, 26014536, 87331021, 12789386, 31737319, 47110452, 29246001, 125002945, 42592805, 68601867, 28456691, 170738485, 53608172, 80522060, 32744536, 114107940, 152204219, 9199391, 59442247, 41990875, 11128502, 22704879, 163134051, 43998752, 30575984, 6436421, 8928777, 48982349, 14267402, 59382631, 26225179, 160852422, 48006655, 24766906, 152145799, 8841244, 23136344, 168615153, 58174523, 97657349, 59828593, 41389283, 7492623, 55949061, 19222845, 70064340, 47942916, 9904138, 43573138, 30541194, 30702354, 30869059, 81171065, 64410245, 38917360, 72897046, 27528998, 2331077, 58570577, 95185327, 48503409, 8198026, 54392512, 54932321, 37468453, 8209036, 77874438, 221657, 135279616, 6185422, 51565532, 51613150, 76350134, 17832662, 49524043, 55241413, 49757387, 73978564, 8385885 ], [ 39922008, 13262061, 91521943, 4412698, 136245013, 71515230, 34444996, 160607, 11338106, 14650532, 4774800, 50368910, 7434452, 63070458, 24943885, 114931989, 148249129, 14176321, 14248063, 138673085, 14547668, 12478191, 45201766, 34088334, 15072477, 47168326, 212271748, 275985095, 85673659, 21147669, 69906144, 48525486, 25166883, 19490018, 9919743, 134468743, 55349477, 35571746, 23580742, 94668052, 179450951, 6511714, 98787651, 15318211, 239972320, 30626675, 46963576, 145062040, 25714548, 3728851, 26014536, 87331021, 17070917, 6740888, 29374543, 86751626, 42538711, 259979567, 25272896, 142015545, 299342512, 3402600, 33395442, 40461711, 132847648, 23458859, 9199391, 12512447, 59982258, 11128502, 19094705, 56069767, 104330210, 12467909, 33384915, 12900418, 62562768, 55955891, 80840877, 26225179, 129403970, 48006655, 1563650, 39914296, 150650394, 23136344, 51455063, 119620429, 48990004, 18304533, 28854300, 5412392, 77572742, 19222845, 15727200, 5232805, 63753642, 43573138, 58422646, 81208466, 90727368, 79870237, 64410245, 42464866, 165357810, 27528998, 38484741, 21571738, 95185327, 48503409, 8198026, 16945127, 34900327, 55223010, 8209036, 68893862, 6292514, 9219250, 82803732, 31463377, 68316494, 67476139, 6464083, 39389127, 223441742, 60585916, 111567187, 8385885 ], [ 73278332, 13262061, 20551867, 4412698, 136245013, 49224955, 34444996, 10728620, 11338106, 14650532, 69958015, 74243328, 84520594, 63070458, 57273016, 12466442, 7619152, 148363555, 36161704, 138673085, 29984501, 46042705, 45201766, 34088334, 8151623, 47168326, 17558543, 79277097, 4139590, 6847388, 145809542, 70712698, 30480996, 19490018, 14422102, 122794647, 140274632, 132499423, 23580742, 36700884, 75449925, 26317362, 77170450, 107106667, 57221722, 12349849, 7442454, 52133253, 7675613, 4933831, 26014536, 10030682, 10411787, 67955405, 68546721, 11735842, 75648262, 44354397, 84750060, 90923096, 61606123, 24647788, 33395442, 28309703, 758187, 23458859, 9199391, 65571709, 50326426, 11128502, 31594276, 3453250, 104330210, 11856924, 128382786, 146629205, 50306526, 42159915, 44841138, 19249411, 147651209, 51068483, 24766906, 131598524, 86013145, 22740229, 21296331, 104721923, 10640570, 73828439, 28854300, 1976638, 77572742, 19222845, 103034664, 5232805, 9138577, 43573138, 18524312, 32328827, 90727368, 39420936, 42410573, 21329763, 108013928, 10148911, 26186589, 152821254, 22828454, 85577886, 31533926, 94352821, 34900327, 37468453, 23536374, 14672816, 60428375, 43063736, 52303884, 52440690, 51613150, 9601057, 6464083, 37299988, 24431614, 49757387, 13486249, 8385885 ], [ 4306688, 73957937, 74388759, 4412698, 25910147, 7829423, 287474445, 17517955, 47429823, 9551880, 42493755, 55136879, 46804677, 59370111, 53878975, 189182936, 98507634, 44778422, 139142417, 28941804, 69861726, 46042705, 54507159, 21110622, 31517016, 43176167, 37045815, 8874972, 4139590, 9811063, 90105736, 50579299, 92606605, 209947214, 9919743, 100200947, 85660278, 90589342, 6427387, 15812072, 34072380, 2773856, 6687197, 67110770, 33962363, 92351316, 46963576, 5528881, 102949115, 4933831, 26014536, 38680821, 96590613, 42624056, 47110452, 13802806, 43914670, 71019915, 13505037, 16330527, 35918504, 163526627, 66227566, 28309703, 23802493, 8767110, 9199391, 11729070, 40194446, 8937545, 22704879, 57092899, 26179740, 60270550, 20588532, 116247650, 142157452, 62078491, 19353368, 1081391, 76332171, 5831069, 24766906, 96176330, 32908317, 23136344, 32068275, 34969278, 35901352, 73828439, 13926909, 7492623, 47854487, 19222845, 15272083, 104997302, 9904138, 43573138, 30541194, 30702354, 38645547, 9498304, 64410245, 33373381, 18629613, 4696912, 100143768, 1634069, 118933817, 18875456, 31216632, 51741633, 1250663, 102948098, 113359187, 50231375, 14187457, 9219250, 6890, 64402046, 10094996, 19332191, 17832662, 4241466, 105900799, 1832243, 8438163, 101417054 ], [ 11282156, 12894024, 9024081, 143865250, 68797297, 3682891, 81223123, 10728620, 119218474, 151371383, 111594686, 74243328, 71615469, 11534062, 156456804, 221151941, 60919896, 10648837, 6150042, 138673085, 29984501, 176081249, 54507159, 17013855, 31098762, 124796380, 17511594, 41914876, 34774265, 21147669, 145809542, 70712698, 68969608, 19490018, 9919743, 180270267, 118469328, 48303051, 23580742, 26723723, 36108440, 26317362, 34362516, 77004933, 81822497, 10151165, 90365535, 23503598, 60233218, 74072866, 26014536, 10824101, 17070917, 28863318, 34066122, 10654555, 160088764, 44354397, 14648640, 31903550, 96175842, 66703717, 33261372, 28309703, 4695700, 23458859, 9199391, 20876282, 63207243, 11128502, 71838598, 126197054, 39876951, 12467909, 105449809, 116247650, 86724576, 284103848, 24397799, 105238801, 66292307, 161859141, 44668333, 156836487, 150650394, 17492253, 10182779, 58174523, 10640570, 11347502, 28854300, 7492623, 23401976, 6362173, 59640216, 5232805, 63753642, 43573138, 24378052, 9350717, 118121765, 35997001, 22173503, 76427133, 3717721, 51882231, 47583747, 152821254, 35164341, 93962934, 31533926, 51389732, 19988451, 194734734, 19606445, 77874438, 4778538, 43063736, 162226585, 90507478, 7805551, 67476139, 6464083, 22648377, 165002789, 49757387, 166224448, 59881781 ], [ 38891628, 40757083, 21173329, 188306336, 26425275, 7829423, 81223123, 130453420, 270259238, 35548090, 16214473, 28429720, 24388200, 2572187, 78773893, 90122858, 92250487, 1320109, 29159332, 128972561, 29984501, 113287334, 52333003, 34088334, 22708003, 24614032, 33382862, 46274253, 4139590, 9811063, 85527543, 14104276, 31688153, 123689752, 9919743, 22598478, 52868871, 12448949, 70368511, 41077346, 44288010, 10259202, 84011763, 124972417, 56922905, 90281729, 22487531, 5528881, 2460412, 55932329, 26014536, 13260044, 105508894, 87886058, 2219404, 13802806, 103250348, 20700434, 14648640, 12473540, 207732093, 96510512, 6351655, 28309703, 8952830, 15377231, 40681939, 11729070, 213921576, 8937545, 161942762, 107498003, 14400624, 60270550, 109812848, 29962433, 92404015, 50666596, 50338537, 19249411, 11892364, 26621193, 14834384, 107420412, 94396060, 23136344, 31450107, 139055144, 48669013, 43362227, 1357031, 7492623, 82716240, 19222845, 166471563, 5229812, 5674697, 43573138, 34881830, 48492635, 152832690, 22447868, 64410245, 15381447, 55555169, 5937249, 46887196, 43313435, 35164341, 34263153, 26595740, 141364771, 66273764, 55059277, 49664995, 77874438, 14187457, 4263372, 24346444, 7574241, 43942944, 67476139, 85358323, 16510963, 69458348, 15123677, 10803804, 2347373 ], [ 9801652, 24763546, 9357944, 18520017, 42043486, 12916311, 47222934, 107725003, 11338106, 14141334, 42522121, 74243328, 66378872, 36020946, 23609316, 12647727, 26450401, 44743016, 5312691, 13977068, 29984501, 18022728, 52292132, 34088334, 68339951, 43176167, 14128882, 14486173, 38242802, 21147669, 53965014, 48207934, 92420806, 40648411, 9919743, 37050640, 39943633, 59240145, 9985536, 36151544, 5540999, 26920336, 34362516, 6081311, 9503165, 19346929, 87474116, 5528881, 12281717, 13809418, 18547202, 39006227, 51243350, 109565665, 95105938, 4957089, 27033352, 8221730, 11163758, 74736475, 53485449, 51804664, 33395442, 1458003, 46881026, 4770883, 101831917, 79939435, 17313515, 11128502, 140177897, 33597314, 42269645, 118429636, 5921631, 14124872, 108243277, 90102240, 4135123, 3616418, 16412320, 176068714, 51031359, 87152663, 12184028, 23136344, 61441404, 23820794, 36523646, 73828439, 86622911, 7492623, 100685828, 19222845, 4982726, 5229812, 64743094, 43573138, 13000976, 26026809, 101110092, 117754656, 64410245, 28666453, 10143452, 42055225, 3828703, 26547468, 11775301, 94194490, 80289926, 54392512, 17980645, 6093032, 25590541, 17911957, 6292514, 361720218, 39902837, 22717768, 9310468, 3515316, 84417845, 78707398, 20194325, 142338599, 25962945, 8385885 ], [ 121523626, 97085922, 40672129, 4412698, 65020444, 7829423, 82241178, 25027273, 27539515, 58819725, 151853792, 55136879, 45326028, 18878576, 50053741, 40004942, 9120162, 44778422, 151183016, 39819910, 70505771, 529249463, 37667387, 34088334, 8151623, 6968936, 224545812, 46274253, 4139590, 198438314, 14630227, 36585082, 101833109, 7359661, 46542162, 56125069, 51447786, 90589342, 20010924, 135101512, 44288010, 30692901, 34362516, 6081311, 18334044, 124693170, 46963576, 115081052, 48579815, 12824049, 26014536, 10030682, 12789386, 78648247, 54048224, 10654555, 164194829, 26083446, 135362418, 85967173, 64474081, 35379752, 166201900, 57173112, 33889278, 23458859, 110304335, 20876282, 50326426, 11128502, 17375016, 79362433, 73522015, 6787830, 20588532, 116247650, 65833966, 46560242, 5206846, 19249411, 85742346, 207607721, 24766906, 45077948, 4293020, 23136344, 31450107, 91342936, 31042122, 60835852, 27309480, 188876017, 33788022, 103691850, 60854711, 5229812, 9904138, 43573138, 8006431, 30702354, 61104428, 4092571, 48659214, 91943596, 19087528, 42813785, 10328263, 209883995, 9576787, 914881, 26874402, 60319807, 93898343, 67263112, 189606514, 17911957, 1330228, 31934816, 39902837, 83135938, 69052685, 34443110, 77478538, 12199600, 37634286, 39202837, 39011870, 158189237 ], [ 50473785, 97085922, 91521943, 56953221, 64758309, 7829423, 163186445, 10728620, 31816588, 16677736, 47268563, 74243328, 71615469, 118516179, 4413105, 72441900, 18518610, 1320109, 37542931, 308340794, 955235, 118009155, 54507159, 91592187, 8151623, 43176167, 53767925, 8874972, 4139590, 9811063, 98773150, 32892325, 89224144, 19490018, 9919743, 180270267, 85660278, 125350875, 23580742, 109689335, 56845272, 74514401, 98787651, 52687771, 116165301, 28439149, 1387234, 112517469, 102949115, 56346379, 43065865, 87331021, 8988401, 21733323, 47110452, 13802806, 22738627, 8221730, 11163758, 142015545, 158349795, 163526627, 105140044, 48164330, 77097147, 137077539, 28258023, 11729070, 50326426, 8937545, 58691418, 177003822, 26179740, 12467909, 20588532, 116247650, 15179998, 130470956, 76316761, 19249411, 45404420, 33612121, 24766906, 183263655, 86264283, 23974405, 192082432, 10724484, 3572918, 48360465, 5184656, 7492623, 77572742, 19222845, 26139271, 113269742, 47946239, 43573138, 170274909, 104799172, 207472463, 22447868, 64410245, 14922321, 165357810, 173240496, 343492951, 21475907, 118933817, 101687233, 22350346, 42524940, 108892514, 8606757, 54283146, 77874438, 14187457, 9219250, 24346444, 34438843, 260806339, 67476139, 6464083, 35781802, 112207669, 141692705, 54663602, 123716021 ], [ 41148238, 31794376, 27156500, 188306336, 90407784, 7829423, 188805647, 138502018, 7078889, 14945151, 37166588, 28429720, 24388200, 307610120, 60931390, 51959001, 35635354, 58008113, 29159332, 101090251, 33311982, 15266729, 21680115, 117605892, 3474163, 200747968, 16674892, 46274253, 159965327, 21147669, 32318278, 36521977, 36743817, 86439671, 6697216, 29797004, 95572941, 183141116, 4266365, 109689335, 11142073, 10259202, 84011763, 14539178, 251577404, 60733243, 170764325, 98336023, 56467525, 20409292, 26014536, 70332957, 8988401, 52772735, 62202479, 24879406, 78160299, 380893787, 14648640, 108112636, 84103230, 46881006, 38504136, 48164330, 17242752, 114734156, 40681939, 8920193, 36603489, 11128502, 47738403, 6038789, 30321886, 67507534, 274679480, 8491764, 164224496, 4232416, 29433047, 109304672, 55300683, 93742597, 201517103, 23507974, 94396060, 2891313, 122076125, 129853312, 21518661, 73828439, 1357031, 53922921, 138770330, 41027049, 16769773, 5232805, 26063013, 43184542, 6461659, 32328827, 62500406, 122463628, 57685915, 152239854, 108013928, 4327419, 14861593, 18029310, 11775402, 92632129, 26152720, 194207011, 3314149, 3457816, 14399733, 1778507, 14187457, 9219250, 62304008, 7574241, 103526719, 18566907, 85358323, 78707398, 7940278, 83112910, 73978564, 41313697 ], [ 174162059, 56680051, 91521943, 74511019, 136245013, 7829423, 5481880, 2963064, 31816588, 77985592, 136486186, 74243328, 71615469, 107501630, 20968951, 69497626, 7619152, 17285787, 29159332, 4029128, 29848094, 10344462, 54171904, 39791250, 8151623, 69536009, 1423423, 9297054, 4139590, 21147669, 32318278, 9752379, 82390790, 11538469, 8007838, 126252270, 24851915, 123969568, 68006720, 49588790, 37678536, 5626557, 98787651, 119511733, 6999984, 3379781, 4572319, 39702196, 116732237, 176872180, 26014536, 12157017, 12789386, 28922729, 98129014, 30363827, 63710292, 57345974, 68601867, 15659086, 100001636, 24647788, 44960964, 10703012, 758187, 4429395, 57638092, 4267729, 50326426, 11128502, 1927362, 115550342, 37950454, 11727128, 27303075, 9022882, 37708191, 25369199, 43615876, 1081391, 5989126, 341375847, 40525522, 150441321, 75852891, 33318111, 77761287, 134674203, 69036259, 2729303, 41389283, 7492623, 59814013, 19222845, 15727200, 5232805, 32379529, 35707345, 157193975, 3962925, 29027201, 9498304, 64410245, 44385067, 97877492, 4696912, 40731865, 21571738, 132646169, 72742841, 6544797, 152283894, 81480935, 3849969, 54283146, 26406378, 144385979, 9219250, 22816936, 7574241, 87973016, 67476139, 44829653, 112184129, 276937501, 69491352, 20784567, 6315096 ], [ 24568957, 53297979, 91521943, 70077661, 25910147, 115871085, 81223123, 281574122, 47429823, 71013518, 19436251, 6951828, 8799657, 75666424, 92123109, 52548829, 35635354, 148363555, 5312691, 128972561, 29984501, 11373689, 54507159, 16439853, 79409986, 43176167, 16674892, 16290237, 22356561, 21147669, 32318278, 184953120, 33588870, 85350597, 166049763, 18914570, 140274632, 90589342, 12969820, 35959074, 11142073, 31218943, 114412716, 119511733, 27191323, 83651404, 46963576, 5528881, 92826717, 269645059, 26014536, 87331021, 147499575, 75843712, 74241463, 123894405, 63710292, 7865970, 165347182, 108112636, 22685670, 51921857, 26671428, 55204070, 2663878, 21279826, 31754918, 20876282, 115929863, 11128502, 224436269, 62792592, 111291102, 3290147, 197622015, 82395214, 142157452, 25369199, 61993362, 105789928, 197633367, 167155196, 12545425, 140116245, 12184028, 23136344, 192082432, 63306276, 48669013, 73828439, 141883899, 71502340, 8702321, 19222845, 21563954, 177986462, 47946239, 15323433, 97770868, 198326419, 2818315, 26625845, 11567449, 33373381, 5910747, 42055225, 192028248, 63845085, 45380486, 10655704, 22350346, 27382384, 34900327, 87845352, 54283146, 71561743, 57860451, 30194707, 145842775, 51565532, 7440492, 67476139, 43727282, 249371384, 145490723, 44785241, 104040177, 104226858 ], [ 6925873, 19553624, 37673258, 14325490, 113210253, 7829423, 41532827, 112408125, 7078889, 85655049, 22907577, 28429720, 24388200, 26800990, 34661090, 63008251, 18518610, 148363555, 42310155, 12230160, 955235, 32090228, 29865278, 34088334, 8151623, 3571107, 46985007, 8874972, 4139590, 9811063, 50963225, 35303239, 44382301, 19490018, 9919743, 107832548, 94017613, 50210833, 9985536, 53646246, 14710611, 100377335, 2746479, 52687771, 56922905, 8738751, 19848542, 33815327, 34621639, 56346379, 26014536, 87331021, 12789386, 30632642, 19360243, 10654555, 75770217, 57345974, 14648640, 35222336, 81626391, 30088168, 33395442, 23556993, 17242752, 4770883, 40681939, 12512447, 30422587, 11128502, 1316220, 56259894, 26179740, 12467909, 33384915, 95107137, 19870242, 42733104, 10845223, 11209908, 24154625, 30477930, 60123839, 23507974, 36719452, 572220, 60682327, 37241603, 34164230, 25591598, 1357031, 7492623, 23401976, 19222845, 15727200, 5229812, 47946239, 14995730, 34881830, 34561746, 62500406, 13573695, 5384583, 9293631, 79147676, 36346425, 77177965, 18029310, 11775402, 69728433, 19902972, 79397894, 3314149, 8606757, 54283146, 22788190, 14187457, 38117149, 24346444, 7755034, 7805551, 67476139, 6464083, 30294394, 33761800, 17981361, 16972877, 8385885 ], [ 24568957, 79843101, 156411360, 157120283, 25910147, 83086094, 188805647, 117250155, 318494043, 71013518, 42493755, 171515574, 234286078, 508782688, 67890478, 374879145, 123300023, 148363555, 103249388, 128972561, 57071156, 176407070, 54507159, 34088334, 79409986, 2979008, 133758735, 202500137, 67213595, 269526111, 36342808, 17945446, 89224144, 209947214, 19352756, 180270267, 204818229, 12448949, 147831668, 186531832, 230623400, 153799468, 114412716, 199295075, 56922905, 31935825, 1387234, 5528881, 350541460, 292181355, 26014536, 140354063, 246096465, 21733323, 363660850, 53639240, 24442330, 182765512, 160671520, 47727306, 2470016, 163526627, 123315584, 23951579, 745699, 138530312, 67588579, 8920193, 163030879, 177873136, 110731659, 107498003, 37333848, 192485822, 478450772, 155075509, 157991361, 347845194, 44841138, 220942899, 197633367, 10158467, 4921097, 140116245, 371790041, 23136344, 131020201, 143590005, 48669013, 377403373, 5184656, 17160886, 215926171, 19222845, 64264847, 44916132, 47946239, 43573138, 34881830, 149376839, 506681095, 79870237, 113610139, 33373381, 18629613, 246766272, 52719948, 291330493, 35164341, 208282623, 168782422, 201496898, 34900327, 6531870, 54283146, 40457437, 123359600, 176970714, 79851375, 211084491, 10094996, 67476139, 183488793, 30294394, 124456633, 41984020, 86532592, 4334444 ], [ 132188052, 22529708, 5262880, 21468482, 136245013, 38081745, 11334436, 41655514, 47429823, 132959535, 33741451, 56407740, 71615469, 61896739, 57273016, 71167525, 18518610, 141745669, 5524917, 2379434, 115829180, 83754180, 54507159, 9683852, 8151623, 32464945, 70439458, 101308589, 36979083, 9811063, 90105736, 30479417, 33744510, 18070190, 9919743, 21809955, 85660278, 239404777, 17640610, 7122117, 188043164, 115658817, 5403274, 58397924, 25195169, 8738751, 1387234, 33027000, 99676746, 52133795, 26014536, 87331021, 1400950, 21733323, 74241463, 13802806, 16952720, 38976717, 117170459, 15659086, 158349795, 35379752, 53075628, 6921616, 77097147, 42677988, 67588579, 55342652, 50326426, 11128502, 127216809, 166194665, 26179740, 11856924, 20588532, 188749759, 1375471, 62078491, 1864216, 63139459, 135439455, 19213264, 24766906, 45077948, 70291863, 23136344, 170647244, 21325421, 36523646, 73828439, 5184656, 7492623, 47854487, 19222845, 25784813, 5229812, 49803073, 43573138, 34881830, 139996173, 16393146, 22447868, 50865195, 128961839, 108013928, 10148911, 25666610, 16737181, 35164341, 55848863, 19506101, 140864175, 34900327, 74264414, 12780855, 37966319, 4285659, 40852146, 24346444, 20672213, 43942944, 67476139, 82627888, 3053059, 113887119, 49757387, 37911299, 57878380 ], [ 132188052, 97085922, 21173329, 23371577, 136245013, 7829423, 69487395, 146990422, 9830850, 289417643, 56884539, 343617, 24388200, 95439533, 136458349, 12983464, 32561677, 148363555, 42310155, 122040695, 29984501, 134679717, 54507159, 17249292, 269846673, 77850177, 19916619, 113179848, 4139590, 21147669, 202121714, 66346567, 79013241, 19490018, 311262343, 109267916, 47044212, 57957112, 134092666, 77947212, 106461189, 54684435, 32890320, 66167224, 239972320, 10151165, 166347001, 28538266, 444676355, 58812563, 26014536, 35913558, 39673329, 49755262, 98129014, 10654555, 51457282, 195371164, 14648640, 228820185, 121414083, 30377620, 33395442, 48164330, 46412854, 87277867, 40681939, 12512447, 94420609, 8918385, 47738403, 104722467, 16268261, 12467909, 33384915, 26211148, 110310418, 299516450, 95255415, 19249411, 223411695, 46523739, 14834384, 164782695, 94396060, 23974405, 203402709, 84534261, 56180938, 73828439, 1357031, 305525710, 23401976, 19222845, 15727200, 5232805, 18601785, 26937902, 107376721, 65045025, 207472463, 15181059, 22173503, 144257725, 165357810, 60881301, 52719948, 21571738, 11775402, 36831880, 26595740, 136586254, 8347748, 6531870, 135122583, 1662263, 14187457, 9219250, 152824457, 83135938, 7805551, 164019630, 6464083, 110103915, 57798446, 90904020, 54663602, 4334444 ], [ 14107149, 36539407, 91521943, 52262630, 136245013, 7829423, 60053269, 618812, 38287591, 22783534, 113396741, 34518685, 41547021, 26800990, 54241451, 92801453, 35635354, 6202229, 12913358, 131129715, 29984501, 35087341, 54507159, 29415408, 24593890, 2979008, 16674892, 31043805, 4139590, 9811063, 17851763, 59871131, 89224144, 19490018, 130064242, 100455201, 110448611, 94981046, 3477864, 12252368, 11142073, 30692901, 32890320, 4834082, 17147345, 12349849, 1387234, 124994686, 84387194, 19770089, 26014536, 87331021, 6903960, 21733323, 98129014, 13802806, 22877542, 108771973, 11163758, 17090967, 13736690, 35379752, 33395442, 35920604, 65053851, 23458859, 67588579, 12512447, 57886101, 11128502, 62886761, 37037815, 26179740, 6787830, 6253752, 116247650, 157991361, 71500726, 211395389, 19249411, 121078724, 19882501, 27051129, 10467512, 5486232, 23136344, 38520287, 124299646, 18932453, 29918338, 5184656, 194630, 33788022, 11743204, 15727200, 5229812, 9904138, 43573138, 6461659, 30702354, 9590558, 22447868, 57685915, 67833640, 63287673, 10148911, 36849268, 21571738, 11775402, 18402075, 31533926, 11237420, 125987682, 132767123, 12780855, 59353969, 30298632, 9219250, 24346444, 83135938, 211803585, 117844344, 6464083, 39389127, 22257281, 24325679, 32505446, 158189237 ], [ 52978092, 13262061, 91521943, 453750, 86909672, 7829423, 86351351, 185642939, 9830850, 180100603, 151853792, 74243328, 71615469, 13225133, 123958643, 224854590, 35635354, 380817300, 240673027, 128972561, 274219147, 80782010, 54507159, 548401, 7756224, 47168326, 1324353, 46274253, 85673659, 21147669, 32318278, 38606700, 89224144, 63774105, 9919743, 280867, 28206469, 39566957, 110155120, 101321538, 188043164, 68094525, 98787651, 124972417, 39853586, 72681927, 1387234, 5528881, 158281515, 85786520, 173544910, 87331021, 16073875, 21733323, 27890588, 3947219, 179471924, 35165228, 63694717, 108112636, 35213388, 35379752, 116329968, 57173112, 72709699, 126567725, 1387177, 20876282, 202047605, 11128502, 94932526, 56259894, 2585693, 11856924, 137897006, 17465908, 142157452, 89449551, 169109617, 108979105, 334235957, 58078084, 24766906, 183263655, 61016156, 13748793, 191821319, 34969278, 36523646, 4622579, 5184656, 7492623, 37657526, 19222845, 264493512, 5229812, 26063013, 9261774, 107376721, 197776444, 7321088, 292329429, 64410245, 33373381, 94365897, 4327419, 1030147, 43313435, 27274612, 69728433, 31533926, 18245555, 1250663, 9103766, 54105713, 24923242, 123359600, 9219250, 39902837, 1053920, 105648214, 195219692, 919956, 78707398, 14484596, 83112910, 91047311, 117196834 ], [ 24175356, 14383618, 91521943, 53684186, 88243476, 91825173, 28045903, 41655514, 9830850, 72503539, 56884539, 7287072, 84520594, 307610120, 67890478, 26238577, 18518610, 31630868, 67004930, 31416651, 57071156, 63546489, 54507159, 9848620, 8151623, 2979008, 13003503, 166038206, 4139590, 10611186, 74979006, 157134522, 130629805, 12880190, 209168623, 41163899, 123178465, 12448949, 38355347, 74264986, 85422202, 30692901, 188707628, 81377848, 20220556, 10151165, 22487531, 145062040, 106295078, 25673380, 26014536, 14484371, 6903960, 28863318, 17366602, 41932736, 75770217, 57345974, 14648640, 370251345, 243009117, 163526627, 76228641, 15008321, 77097147, 193449221, 10076911, 3498867, 50326426, 11128502, 25196916, 39351485, 104330210, 60270550, 33384915, 148736310, 262047055, 36564773, 24397799, 19249411, 34174321, 85794052, 40525522, 59730645, 179762713, 23136344, 398998817, 90617439, 61788003, 73828439, 79797849, 67496774, 23401976, 19222845, 15727200, 5229812, 29930575, 43573138, 107376721, 149376839, 110612239, 121272567, 22173503, 32481380, 121112652, 6358199, 52719948, 21571738, 35164341, 94194490, 31533926, 75624451, 8347748, 6531870, 12780855, 77874438, 14187457, 5217714, 14065112, 34438843, 7805551, 207669906, 87110961, 78707398, 82142274, 97179135, 54663602, 4334444 ], [ 2864940, 32986793, 213557621, 23371577, 136245013, 212051134, 75869350, 237504888, 95575453, 437778517, 107526479, 15054942, 61308600, 191601208, 57273016, 218373774, 47462562, 69607594, 416451322, 138673085, 29984501, 227186681, 19386708, 1333810, 185371717, 2979008, 16674892, 113179848, 998259, 48236692, 32318278, 24029419, 85984868, 12880190, 130064242, 103848647, 118469328, 12448949, 157863416, 143042690, 273508469, 30692901, 57256626, 124972417, 109967989, 181581527, 65664817, 145062040, 272023471, 85786520, 26014536, 132918258, 135389017, 45244718, 98129014, 34775875, 19594764, 195371164, 66967279, 63750239, 123106573, 2672366, 33395442, 114266747, 104789369, 224942207, 1387177, 116873020, 97703780, 11128502, 65080746, 93445994, 104330210, 60270550, 7495322, 155075509, 217698226, 98926062, 39289372, 19249411, 283824684, 341375847, 103800004, 59730645, 253020956, 13748793, 207155672, 66039121, 272513624, 210524628, 191962791, 48008163, 80374169, 19222845, 131320178, 5229812, 45218062, 43573138, 414242522, 97615777, 7321088, 121272567, 64410245, 77886120, 41675183, 84270002, 74355201, 67370304, 21777589, 67142518, 31533926, 36924670, 238692196, 194919342, 518948671, 8699484, 123359600, 106765237, 39902837, 39777883, 282817243, 371495724, 199959002, 22954088, 124456633, 224365826, 54663602, 125388862 ], [ 14107149, 97085922, 91521943, 43382058, 136245013, 7829423, 69487395, 10728620, 9830850, 114231240, 151853792, 4810019, 79362132, 26800990, 180966442, 59170089, 21648735, 30847397, 67004930, 16546424, 29984501, 295048680, 54507159, 34088334, 31517016, 47168326, 70439458, 81326222, 14322792, 9811063, 35615106, 30479417, 81060133, 12880190, 71886885, 176340726, 21408795, 161507854, 23580742, 64448995, 89106854, 31218943, 731027, 66167224, 26854428, 12150853, 8899107, 145062040, 122927825, 85786520, 117122166, 87331021, 120824111, 63270843, 3242583, 13802806, 127577369, 50073440, 14648640, 262088245, 22685670, 35379752, 33395442, 10703012, 4568015, 114044456, 69275328, 3498867, 48404200, 11128502, 127216809, 62792592, 26179740, 11856924, 420363552, 116247650, 142157452, 36564773, 43615876, 64889486, 67199024, 19882501, 24766906, 45077948, 53308058, 23136344, 170647244, 99141108, 9807810, 73828439, 1514068, 197937549, 77572742, 19222845, 24039112, 95982930, 18601785, 43573138, 67720895, 27182684, 6496455, 22447868, 52718830, 96206678, 16479757, 145436259, 125331544, 3824292, 35164341, 137293499, 31533926, 86645591, 1250663, 40931007, 135122583, 77874438, 14187457, 9219250, 19888394, 34438843, 84044104, 49670758, 6464083, 78707398, 106760522, 90904020, 35693722, 89208573 ], [ 14107149, 97085922, 80172431, 23371577, 90407784, 119374587, 28045903, 10728620, 7078889, 66994585, 37081856, 6326504, 24388200, 408152532, 57273016, 26238577, 35635354, 19389943, 42310155, 50333601, 29984501, 32090228, 36961015, 9848620, 47527318, 47168326, 251983116, 113179848, 4139590, 21147669, 161814754, 48525486, 48972463, 19490018, 51134334, 107832548, 59625208, 32938668, 17640610, 82710649, 122487445, 74514401, 65314466, 124972417, 141293504, 9901299, 1387234, 28538266, 110097406, 56346379, 26014536, 87331021, 6903960, 21733323, 53191160, 16027700, 20442392, 6044690, 11163758, 286723559, 121414083, 35379752, 8135100, 43088685, 28367226, 25610046, 10076911, 71913506, 14948123, 11128502, 65080746, 39351485, 104330210, 11856924, 20588532, 157861051, 39663821, 185524520, 162442206, 19249411, 245613291, 629887, 24766906, 163427705, 5486232, 23136344, 107412209, 129853312, 36523646, 41985815, 1357031, 74765455, 77572742, 19222845, 131320178, 5229812, 33930366, 43573138, 37295536, 67309148, 27757556, 218835269, 41332743, 105903689, 24043563, 150049881, 160122026, 1636840, 11775402, 94194490, 26152720, 201496898, 3314149, 57123207, 10681347, 13721683, 123359600, 92925563, 39902837, 22717768, 105179096, 76350134, 6464083, 39389127, 58458180, 95588817, 54663602, 123716021 ], [ 32992229, 22529708, 761466, 7150769, 93306069, 83086094, 67601439, 24077093, 4878514, 16677736, 22226984, 31754937, 71615469, 61896739, 20968951, 110662921, 18518610, 10089174, 29159332, 50333601, 29984501, 204617165, 54507159, 16439853, 8151623, 115585861, 16674892, 166038206, 4139590, 9811063, 32318278, 19256234, 66436771, 11538469, 9919743, 18914570, 62666360, 24554342, 9985536, 5414511, 19096358, 10259202, 25473352, 41882169, 39853586, 3379781, 3890878, 85765, 106295078, 5935224, 26014536, 10030682, 12789386, 28863318, 22337727, 13802806, 62455482, 29619744, 11163758, 44264287, 54524408, 24647788, 4898762, 6921616, 8952830, 4770883, 101831917, 14174083, 50326426, 11128502, 45741989, 104722467, 2585693, 12467909, 77689128, 8997033, 82231083, 25369199, 24397799, 19249411, 5989126, 10158467, 40525522, 131598524, 64355996, 23136344, 44134169, 34969278, 166471435, 73828439, 637375, 7492623, 26452070, 10176310, 118353617, 5229812, 113461032, 6384058, 6179357, 3962925, 37055759, 15764238, 48659214, 51432934, 66837813, 30441055, 2331077, 43313435, 12821873, 39156272, 1861278, 18245555, 17980645, 75222315, 49664995, 22727121, 14187457, 9219250, 1231057, 7574241, 51613150, 195892861, 6464083, 20809248, 145490723, 15123677, 13715180, 8385885 ], [ 251818560, 97085922, 3204255, 23371577, 136245013, 7829423, 158328829, 81486844, 65730728, 342078533, 95573250, 74243328, 71615469, 4347577, 189560121, 127406295, 26474419, 103539784, 29159332, 30087388, 57071156, 83754180, 54507159, 34088334, 32404941, 15344011, 1423423, 19528142, 36979083, 9811063, 32318278, 26870932, 82390790, 86439671, 9919743, 79117165, 118048580, 12448949, 47056996, 12252368, 92344462, 10259202, 98787651, 124972417, 5308609, 72681927, 1387234, 5528881, 99249481, 61968791, 202061237, 70312845, 45328380, 21733323, 98129014, 13802806, 75770217, 308416947, 14648640, 76521242, 106226607, 24647788, 53075628, 6921616, 25872681, 66800393, 67588579, 12512447, 36603489, 11128502, 47738403, 71702004, 2585693, 18111354, 7370351, 109085950, 157991361, 4232416, 95255415, 220942899, 82797508, 53571022, 93224471, 104460903, 90711321, 23136344, 192082432, 143590005, 36523646, 111060086, 5184656, 7492623, 106854810, 19222845, 15727200, 105860579, 26063013, 24276669, 27405518, 97615777, 30869059, 22447868, 37162242, 14204097, 72897046, 10148911, 14861593, 21571738, 35164341, 63829230, 147594662, 18245555, 108892514, 3457816, 170079126, 1778507, 14187457, 53582699, 24346444, 7574241, 43942944, 11120051, 140168021, 1264245, 104069106, 83112910, 40840290, 158189237 ], [ 31298998, 14156052, 17776608, 116655872, 96770472, 7829423, 81223123, 117250155, 7078889, 287780595, 42522121, 1616244, 6376720, 19811681, 53604258, 125633438, 26127475, 32120436, 5312691, 138673085, 29984501, 18055061, 54507159, 16439853, 84389921, 43176167, 109170396, 5432891, 4139590, 21147669, 194627882, 72608530, 67136954, 85350597, 9919743, 18914570, 85660278, 125350875, 157583278, 74306426, 1692936, 92862550, 76379845, 52687771, 85409986, 37449118, 1387234, 118841025, 29601988, 29578347, 26014536, 72386568, 95475318, 21733323, 57797426, 86751626, 69399563, 29619744, 14648640, 48091385, 307381591, 35379752, 33395442, 48164330, 48619811, 47848186, 67588579, 25273548, 95625464, 11128502, 1927362, 166078129, 104330210, 11856924, 20588532, 24883461, 63915820, 153382927, 10845223, 1081391, 38633454, 51068483, 40525522, 45077948, 12184028, 9750518, 31450107, 60762338, 4808035, 63366941, 5184656, 7492623, 59814013, 19222845, 26139271, 5229812, 5674697, 21423627, 104859824, 148252258, 62500406, 9498304, 12279330, 112236543, 95500772, 4696912, 112954890, 58570577, 18174393, 94194490, 22350346, 152283894, 97015009, 55223010, 54283146, 11926867, 14187457, 131099164, 39902837, 51565532, 89371880, 76350134, 9302163, 82505531, 145490723, 84347372, 39011870, 123716021 ], [ 274333149, 60943856, 91521943, 92678362, 1773737, 7829423, 81223123, 281574122, 47429823, 43540580, 86040546, 74243328, 40597288, 63070458, 57273016, 63370014, 40855158, 70263422, 104293349, 138673085, 1549220, 17766259, 54507159, 1333810, 89123692, 47168326, 8545956, 46274253, 47027132, 21147669, 36342808, 17844472, 130629805, 91141172, 9919743, 107832548, 105430492, 904925, 157863416, 194479144, 85422202, 79473126, 51323777, 124972417, 114862012, 10151165, 16984205, 13338218, 103310572, 71432071, 26014536, 72386568, 51243350, 28863318, 17366602, 226645184, 44184356, 73248817, 11163758, 30721701, 3042389, 2672366, 33395442, 135659761, 149049840, 23458859, 6272103, 12512447, 9662196, 2296443, 228117899, 30482599, 104330210, 265025414, 33384915, 116247650, 87467952, 98926062, 24397799, 31060584, 38633454, 10158467, 24766906, 58295499, 37895703, 23136344, 583488155, 143590005, 36523646, 73828439, 119485024, 7492623, 23401976, 19222845, 15727200, 5229812, 63753642, 43573138, 104049793, 81208466, 265012392, 40117277, 22173503, 28107, 19614707, 60881301, 85449438, 21571738, 35164341, 67142518, 31533926, 78714924, 108892514, 97001799, 130565569, 8699484, 65898132, 134744943, 39902837, 22717768, 7805551, 65489594, 85358323, 78707398, 100576982, 280510507, 35388483, 82023210 ], [ 20063032, 48543935, 67931810, 23371577, 18831969, 4580769, 132567390, 99774050, 7078889, 33159995, 111594686, 4136495, 34125339, 13920403, 57273016, 108168934, 40855158, 1320109, 86942483, 88379036, 17088587, 98765786, 45676187, 548401, 4836413, 11240945, 96003604, 46274253, 15008200, 11561186, 35615106, 48525486, 1349237, 6846038, 9919743, 22598478, 28206469, 39566957, 157863416, 50932010, 188043164, 57789333, 98787651, 4834082, 25195169, 37449118, 46963576, 1465778, 191163740, 56797729, 26014536, 72386568, 75890706, 11660676, 27114939, 30363827, 69399563, 104382147, 14648640, 16330527, 44352105, 2672366, 166247101, 42752385, 65053851, 122955691, 1387177, 20876282, 57281124, 11128502, 206401719, 73698525, 156246820, 30769912, 52653975, 3347983, 134441085, 71500726, 24397799, 49555333, 76332171, 35924575, 24766906, 90117638, 23990877, 13748793, 142524783, 143590005, 72723715, 32243917, 262298363, 7492623, 8702321, 19222845, 163961914, 5229812, 296688, 15323433, 36272660, 30702354, 7321088, 88356753, 64410245, 15381447, 39990073, 13284355, 52774061, 3824292, 35164341, 39156272, 1971654, 64811860, 62702179, 28347323, 53975140, 8699484, 2226425, 14068607, 39902837, 39777883, 93384388, 34677515, 67065931, 16405461, 12114064, 83112910, 245942728, 8385885 ], [ 63235793, 13262061, 9024081, 15391990, 25910147, 7829423, 81223123, 130453420, 288022846, 53988238, 38036421, 74243328, 8799657, 154045893, 44515258, 55828410, 35635354, 124712281, 14546079, 7653999, 29356258, 32090228, 54507159, 1333810, 1830157, 46559750, 242556948, 8874972, 5083551, 9811063, 88590952, 48525486, 30480996, 90961544, 9919743, 90299454, 43326700, 16157705, 27799498, 115259309, 60658150, 23293441, 98787651, 27009633, 131855633, 62203086, 22791245, 120050563, 85087441, 31194521, 26014536, 87331021, 2795313, 7303748, 47110452, 13802806, 152683164, 7865970, 14648640, 117919091, 37575849, 2672366, 33395442, 48164330, 17212618, 39388203, 117692617, 3781347, 21517049, 11128502, 19567076, 5975129, 26179740, 67507534, 74987511, 116247650, 104583614, 33497721, 95255415, 90829883, 209404083, 71414976, 15968442, 104263718, 80628247, 4200632, 42278587, 24085474, 31459281, 73828439, 119485024, 7492623, 8702321, 7284989, 31074504, 5232805, 10287883, 15323433, 110766261, 9350717, 25234297, 22447868, 64410245, 105903689, 18629613, 67723193, 14736201, 18029310, 24606677, 67142518, 26152720, 79686694, 3314149, 13941852, 51181958, 8699484, 14187457, 133065469, 24346444, 39777883, 51613150, 39880734, 87110961, 228636663, 104676672, 49757387, 18486023, 20569385 ], [ 24568957, 13262061, 91521943, 311917730, 70390093, 7829423, 81223123, 618812, 11883694, 124515762, 119367130, 343617, 84520594, 97544519, 57273016, 12983464, 35635354, 110840461, 51287163, 23242567, 29984501, 32090228, 49929162, 34088334, 81480605, 43176167, 10281903, 19528142, 4139590, 9811063, 182484876, 4131998, 28190702, 19490018, 57270658, 19378451, 85660278, 242989801, 23580742, 40607025, 122282160, 26411421, 84751845, 6081311, 39853586, 10914927, 4572319, 28538266, 99249481, 26018692, 26014536, 56600861, 161036725, 61077076, 98129014, 13802806, 19759436, 87108315, 14648640, 12787985, 76486631, 163526627, 33395442, 48164330, 72999968, 137077539, 110304335, 20876282, 66375081, 11128502, 1927362, 89280381, 2585693, 12467909, 20588532, 26211148, 110310418, 22464142, 95255415, 19249411, 15170885, 167155196, 201517103, 119050778, 132605470, 23136344, 17360323, 143590005, 18932453, 29918338, 28854300, 72498884, 59814013, 19222845, 107146911, 5232805, 35212484, 20716534, 114009239, 31805665, 25234297, 13969355, 27269050, 31805790, 70548963, 2904225, 14861593, 18029310, 118933817, 92632129, 26152720, 18245555, 3314149, 42449850, 54283146, 1778507, 6278682, 9219250, 24346444, 22717768, 118431638, 4416646, 5579813, 39389127, 8665273, 81396539, 54663602, 135465600 ], [ 100749615, 22529708, 43139594, 15391990, 125013236, 24281015, 12433756, 2963064, 4689528, 52295371, 33741451, 55136879, 34125339, 12188205, 57273016, 42286843, 18518610, 115646117, 98150700, 91072366, 7083997, 34808410, 2779143, 34088334, 8151623, 3571107, 9951146, 41232461, 15008200, 9811063, 51222024, 2868832, 30480996, 62803893, 9919743, 22598478, 140274632, 50352180, 23580742, 19620786, 57987226, 5447914, 90763939, 124972417, 57221722, 6604193, 16984205, 33027000, 87561498, 31194521, 26014536, 48322024, 12789386, 13392175, 74241463, 13802806, 69399563, 57345974, 35880287, 17090967, 73619654, 31895346, 38426118, 99236874, 119783, 37695852, 74689502, 20876282, 16242110, 11128502, 24710142, 142020882, 26179740, 6787830, 186444046, 11710673, 2159615, 3679330, 1398380, 25902393, 46873405, 48006655, 361670, 45077948, 36170586, 23136344, 31450107, 119219812, 34164230, 20315466, 21257205, 5193768, 20286730, 19222845, 14174856, 5229812, 10287883, 20716534, 7530072, 4381708, 6496455, 22447868, 64410245, 2842731, 63531867, 24210229, 19010026, 15747426, 35164341, 44889348, 8198026, 79397894, 87268705, 147019294, 54283146, 77874438, 81119497, 116175046, 1536601, 7755034, 10982085, 34742766, 35652117, 12797032, 11770568, 40905260, 13252763, 20795764 ], [ 31298998, 13262061, 91521943, 27899268, 1765251, 7829423, 76975234, 83687780, 11338106, 16677736, 90441401, 74243328, 45110786, 2692583, 57273016, 256542786, 35635354, 110840461, 51287163, 268826518, 87366824, 66223794, 54507159, 30265834, 7756224, 3571107, 26468430, 45813773, 85673659, 21147669, 33422527, 48525486, 92420806, 91141172, 9919743, 22598478, 154444328, 218050890, 229712840, 37153598, 30520973, 41695018, 88954935, 124972417, 196409804, 5564078, 27580030, 2372828, 87561498, 39964883, 115568777, 31033888, 149756637, 67955405, 17366602, 86751626, 48368725, 420940947, 135362418, 110657150, 158349795, 106226939, 80522060, 37398832, 70686643, 8767110, 70797506, 167615967, 158975681, 11128502, 62886761, 5975129, 137409740, 213237260, 34106109, 116247650, 48982349, 48282652, 32621649, 42927747, 46873405, 77870115, 73106493, 45077948, 8841244, 23136344, 53035391, 60762338, 4808035, 56252726, 41389283, 7492623, 120418407, 19222845, 97838497, 62454713, 3858938, 43573138, 228022515, 31805665, 25234297, 79870237, 62152304, 18143679, 108598905, 94160696, 74491039, 124192456, 35164341, 20602581, 66908106, 885587, 54930790, 132767123, 51181958, 24923242, 34783453, 118836435, 19888394, 1053920, 193466779, 67476139, 5579813, 35781802, 73978516, 166270172, 39011870, 8385885 ], [ 36165227, 6855765, 14916627, 80487212, 136245013, 32711496, 82241178, 11122756, 379716897, 52227190, 151853792, 74243328, 61308600, 73066504, 239989890, 170378702, 35635354, 148363555, 51287163, 128972561, 274219147, 66223794, 54507159, 22838487, 116257715, 24822026, 311684793, 323194425, 4139590, 21147669, 216228118, 106312647, 130629805, 415779572, 9919743, 176874538, 102069837, 217227015, 182399285, 101321538, 161630182, 388556090, 98787651, 21805825, 251836186, 7659863, 83447789, 5528881, 20667797, 26018692, 26014536, 218838363, 52815195, 188350636, 5938717, 76047059, 19594764, 195371164, 14648640, 70346041, 231539970, 97305873, 166247101, 48164330, 37868488, 121620410, 131606927, 272893226, 196476894, 11128502, 317928455, 104722467, 146058215, 28358421, 83857739, 95595009, 194068910, 91558208, 95255415, 19249411, 46873405, 83560842, 76929319, 244727211, 44399837, 23974405, 18630531, 45723755, 48669013, 128639937, 213052234, 7492623, 178390142, 42056928, 105264521, 103694152, 35212484, 43573138, 193785225, 29412333, 25234297, 250258487, 64410245, 28666453, 1726031, 134518649, 160122026, 174203834, 9632529, 166200709, 31137182, 152283894, 108892514, 112881328, 54283146, 77874438, 14187457, 118836435, 162226585, 46284877, 65998597, 143325776, 256040500, 78707398, 208043842, 74719192, 54663602, 158189237 ], [ 3046513, 97085922, 29002305, 117570808, 136245013, 32711496, 81223123, 115771306, 496840652, 180100603, 87094986, 28429720, 8799657, 75666424, 100320827, 256542786, 35635354, 69553941, 1065953, 138673085, 29984501, 15266729, 54507159, 117605892, 39462877, 46559750, 30126758, 325756812, 4139590, 21147669, 35615106, 247786119, 130629805, 226147174, 9919743, 22598478, 209660942, 115183505, 133193170, 123486654, 122282160, 152260793, 88954935, 124972417, 95269300, 10151165, 85158669, 142584450, 598369872, 89121664, 26014536, 87331021, 114005251, 11660676, 98129014, 161322405, 151746381, 7865970, 177356704, 186875839, 121414083, 163526627, 33395442, 42752385, 51274772, 562612082, 40681939, 273085104, 150232817, 11128502, 356396900, 104722467, 129111987, 60270550, 105449809, 234777735, 90525627, 180041715, 169109617, 19249411, 262056650, 97212073, 319698831, 261492857, 43412957, 116731577, 192082432, 143590005, 252921579, 53248302, 1357031, 7492623, 23401976, 1932102, 218188754, 44430424, 49803073, 43573138, 323299430, 310801574, 25234297, 79870237, 22173503, 65144252, 108598905, 652324390, 102658799, 3824292, 11775402, 63829230, 26595740, 11102697, 108892514, 16286261, 296874181, 77874438, 33179873, 92925563, 162226585, 51565532, 7805551, 67476139, 89669858, 78707398, 7940278, 144915952, 54663602, 158189237 ], [ 14107149, 90161977, 52245971, 91995599, 39546168, 32711496, 81223123, 201615435, 11568794, 16677736, 50240182, 74243328, 86848865, 109638541, 57273016, 4605955, 35635354, 92261174, 21654249, 21811876, 29984501, 66223794, 54507159, 84633400, 74974581, 117016792, 112493019, 31043805, 4139590, 21147669, 18016316, 4131998, 25297125, 219853, 36395358, 180270267, 43326700, 43011109, 44363295, 14017762, 15113688, 128242025, 74984163, 34722854, 39853586, 13409402, 24750998, 5541362, 31164880, 56346379, 26014536, 87331021, 164788313, 63270843, 59857663, 52376212, 75648262, 164215030, 47056178, 9555816, 43117440, 35379752, 10055390, 57173112, 113542778, 9567324, 31291139, 3781347, 94420609, 11128502, 323930052, 32422260, 2585693, 11856924, 98752482, 157861051, 64072588, 124849127, 19353368, 19249411, 5989126, 212514479, 11914058, 223007195, 187379160, 64745394, 53035391, 100320188, 104441599, 59380184, 28854300, 77169209, 53375586, 19222845, 13659632, 5232805, 37119810, 43573138, 16826811, 122662315, 25234297, 79870237, 3172646, 108686905, 63229648, 3394631, 14934828, 56838249, 11775402, 29267038, 53651415, 18245555, 61107429, 75222315, 63635884, 77874438, 14935790, 53440849, 13259227, 4251554, 10094996, 67476139, 6464083, 35781802, 89520376, 119947516, 54663602, 70265248 ], [ 74563733, 97067234, 57791115, 15391990, 125013236, 32711496, 76975234, 9756093, 47429823, 60090729, 33741451, 55136879, 27368927, 75666424, 50053741, 42479857, 98507634, 110840461, 63585285, 12230160, 29984501, 66223794, 54507159, 16439853, 101437440, 3571107, 44716106, 41232461, 4139590, 9811063, 24016066, 4131998, 50975801, 19490018, 6065635, 18914570, 140274632, 90589342, 23580742, 141273792, 122282160, 7658704, 88954935, 124972417, 85409986, 22043137, 46963576, 11350338, 47375821, 52133795, 26014536, 87331021, 161036725, 24471481, 5938717, 13802806, 179471924, 6044690, 9430524, 22211458, 45134678, 163526627, 33395442, 48164330, 28367226, 23458859, 64779567, 20876282, 94420609, 11128502, 101377208, 5975129, 26179740, 6787830, 193185581, 95595009, 35287390, 48282652, 70233869, 19249411, 46873405, 17134764, 24766906, 8708026, 4293020, 23136344, 17360323, 143590005, 23845706, 73828439, 28854300, 22853614, 33788022, 19222845, 60854711, 5229812, 3858938, 43573138, 199378809, 12353703, 25234297, 4092571, 18758854, 2842731, 79147676, 58838564, 160122026, 15747426, 9576787, 74491678, 31533926, 885587, 34900327, 86512405, 51181958, 77874438, 14187457, 118836435, 24346444, 46284877, 84044104, 55087361, 5579813, 12797032, 169299943, 298087002, 39011870, 20795764 ], [ 74827819, 36539407, 10768868, 908208, 8318133, 7829423, 60053269, 618812, 11338106, 16677736, 5057352, 55136879, 53677062, 174118816, 57273016, 97040366, 35635354, 21387342, 12913358, 38769611, 9469597, 46042705, 54507159, 36846438, 15072477, 47168326, 26468430, 46274253, 36979083, 9811063, 60710775, 30479417, 40148963, 76451841, 9919743, 47921627, 62666360, 24554342, 3926926, 5414511, 29796347, 39668587, 80363159, 14539178, 24652354, 57317810, 22487531, 168783114, 127271481, 925330, 26014536, 58159555, 51243350, 11865493, 25710166, 13802806, 22877542, 134823790, 11163758, 12787985, 885399, 51409981, 60638287, 48164330, 70686643, 8767110, 42399864, 12512447, 66375081, 11128502, 53990024, 12631605, 2585693, 18583904, 22142136, 50789888, 1375471, 25369199, 19353368, 26225179, 38633454, 91258289, 11914058, 1915275, 129228763, 23974405, 53035391, 71012109, 18932453, 29918338, 66972543, 7492623, 26452070, 19222845, 15727200, 5232805, 9904138, 43573138, 61738332, 30702354, 25234297, 22447868, 64410245, 13618800, 64269649, 60881301, 36849268, 21571738, 35164341, 92632129, 31533926, 18245555, 34284518, 2587839, 40708376, 77874438, 6278682, 9219250, 24346444, 22643413, 20933357, 67476139, 17832662, 35781802, 77965788, 83112910, 57156642, 8385885 ], [ 1420552, 80601364, 9024081, 50682523, 65020444, 20526962, 81223123, 10728620, 47429823, 13145048, 32160949, 4810019, 17453753, 18878576, 57273016, 12466442, 7619152, 35210160, 5524917, 29461190, 29984501, 171549254, 54507159, 34088334, 7184443, 19474705, 185464217, 2252364, 36979083, 9811063, 10147561, 70712698, 100051539, 19490018, 195531405, 72486595, 20098545, 33093107, 23580742, 7122117, 87950260, 7658704, 731027, 84396464, 201355146, 10151165, 29968857, 18467204, 58800322, 18469628, 26014536, 10030682, 6903960, 13392175, 26675367, 1166550, 75770217, 15862286, 68704204, 85967173, 64474081, 35379752, 33395442, 57173112, 758187, 51694005, 40160651, 12512447, 6005507, 11128502, 23440375, 17972501, 16558883, 11856924, 20588532, 234777735, 142157452, 20426358, 32843351, 108979105, 41445570, 19377587, 24766906, 67433929, 1393559, 12526600, 31450107, 116548344, 74453127, 73828439, 28854300, 171763128, 23401976, 19222845, 15727200, 14346587, 61973631, 43573138, 4685589, 9350717, 38867257, 17008993, 22173503, 2842731, 37761538, 60881301, 30097089, 21571738, 35164341, 13538142, 21326804, 105934329, 34900327, 51988145, 12780855, 12788432, 3207842, 87516012, 24346444, 13953635, 7805551, 16230678, 6464083, 29791285, 177686360, 65473043, 34395922, 59881781 ], [ 1420552, 81257805, 91521943, 52262630, 90407784, 7829423, 41281121, 10728620, 47429823, 16677736, 81584132, 74243328, 31083144, 37433665, 57273016, 51959001, 18518610, 66948579, 51287163, 138673085, 31941933, 183131299, 54507159, 34088334, 8151623, 47168326, 16674892, 2566108, 4139590, 21147669, 29515901, 30479417, 130629805, 6952233, 188431413, 36629171, 35422208, 94981046, 23580742, 194479144, 87950260, 74514401, 4870208, 124972417, 20220556, 64278868, 29968857, 106528064, 123076790, 103187907, 23517373, 86665551, 12789386, 51072326, 62202479, 34775875, 42397331, 57345974, 66967279, 17090967, 10098227, 128297471, 138450864, 258797222, 116251828, 23458859, 40160651, 121142618, 50326426, 11128502, 3520474, 10755386, 20317287, 33798154, 12770166, 99667754, 60974175, 153382927, 227961217, 19249411, 34174321, 176262770, 24766906, 45077948, 132605470, 23136344, 125038157, 74159411, 85715657, 73828439, 32939322, 19209641, 26591430, 19222845, 107146911, 5229812, 1990188, 43573138, 220164286, 81208466, 41354938, 15502070, 41645517, 155260947, 37761538, 47516633, 160122026, 185295986, 35164341, 40822136, 49793696, 82910669, 51244519, 135690080, 82748763, 56154074, 48719828, 192450102, 39902837, 52003937, 132219532, 58363570, 8317162, 35781802, 208043842, 132466882, 14275428, 53692391 ], [ 20355458, 25627318, 91521943, 22543064, 90407784, 32711496, 134862210, 10728620, 47429823, 43296192, 90516248, 1616244, 71615469, 2645397, 44876244, 51959001, 59811252, 48669674, 21129001, 38983859, 55505329, 41601143, 54507159, 126996842, 32404941, 47168326, 74057768, 16485421, 85673659, 21147669, 145809542, 70712698, 40148963, 19490018, 9919743, 259003180, 59625208, 289242696, 4439019, 56048646, 97805829, 13424672, 23561395, 7929478, 39853586, 12349849, 4859983, 20081623, 15074297, 47986411, 3491132, 114988231, 45328380, 171420106, 62202479, 86751626, 179471924, 472332237, 11163758, 13928676, 6652893, 96510512, 31105774, 69828298, 8048078, 23458859, 38336204, 74511679, 94420609, 11128502, 18298946, 39280285, 2585693, 6787830, 172618930, 246010381, 32122031, 31343280, 54297741, 79559230, 70737589, 28654178, 11914058, 4876428, 94149337, 7552922, 55554660, 143590005, 60474963, 45315856, 28854300, 7492623, 8028375, 2279026, 419966, 40926252, 33887047, 43573138, 17408166, 81208466, 25234297, 72616243, 12279330, 18175114, 108013928, 10148911, 46887196, 26437147, 132075895, 27818759, 31533926, 18245555, 18175974, 2965091, 93679931, 22727121, 48268857, 9219250, 25520805, 11520981, 20933357, 99048756, 6464083, 126405900, 35289127, 99621859, 147229464, 62721462 ], [ 24175356, 6855765, 91521943, 59635264, 133030754, 7829423, 11334436, 10728620, 31816588, 22783534, 71647099, 27653123, 34019496, 183946987, 55628023, 101990051, 105901672, 6672160, 21654249, 42877873, 35518522, 57535589, 43723709, 5971639, 15072477, 26094442, 4239848, 235712046, 36979083, 9811063, 182484876, 48525486, 130629805, 133335399, 9919743, 55362925, 80369532, 16116809, 23580742, 194479144, 11142073, 74514401, 98787651, 101918555, 39853586, 5564078, 46963576, 47930503, 122927825, 83200726, 26014536, 87331021, 88790918, 55269315, 17366602, 11735842, 61382546, 8221730, 47845937, 35718180, 43117440, 163526627, 29744096, 68155298, 32479427, 33469739, 61880264, 71913506, 106430575, 11128502, 98702426, 3453250, 2585693, 70945727, 20588532, 62052714, 48982349, 39444211, 43979583, 7171234, 43371719, 39596907, 24766906, 147422743, 8841244, 23136344, 18630531, 61677372, 9489121, 27563915, 174068575, 7492623, 36890996, 19222845, 19873595, 90364249, 79762868, 979604, 13685829, 63858491, 90727368, 22447868, 12046729, 66320575, 51603924, 16293796, 30097089, 16777169, 13086775, 68911876, 49793696, 18245555, 79920231, 45408064, 23536374, 12788432, 14935790, 84967719, 24346444, 22989646, 217378321, 9601057, 31628732, 20809248, 82142274, 13982955, 32505446, 41236674 ], [ 185308352, 136748035, 31489282, 27543629, 33277103, 7829423, 4612361, 2963064, 47429823, 124515762, 31802206, 35278985, 71615469, 63070458, 50733512, 176356459, 36506881, 40106188, 5524917, 58594547, 29848094, 41688311, 54507159, 227565157, 79825165, 47168326, 16674892, 42282152, 85673659, 18419991, 32318278, 48525486, 33744510, 30842326, 9919743, 180270267, 64129861, 18121732, 15401438, 7122117, 97805829, 10259202, 14358057, 52636320, 36145854, 26467566, 11842263, 33182577, 15074297, 140828493, 26014536, 53143035, 51243350, 67955405, 74241463, 50691064, 150297122, 500064, 11163758, 108112636, 1696547, 409218603, 33395442, 189880934, 8048078, 23458859, 6272103, 37008520, 77793409, 11128502, 18298946, 94644189, 68549625, 208428513, 7806753, 75121301, 39345490, 22464142, 136999408, 17119262, 212200573, 19213264, 24766906, 14250187, 7835358, 49369439, 14478024, 71012109, 36523646, 69120244, 89318874, 7492623, 8702321, 19222845, 25784813, 150740883, 63753642, 15323433, 87936925, 81208466, 24868546, 292757, 56208593, 105903689, 34387799, 13305847, 77257505, 55492560, 35164341, 25731143, 74236160, 75624451, 34834530, 259420844, 31772400, 226901, 86503767, 72013186, 25520805, 7574241, 1819671, 5521808, 8308939, 12797032, 82142274, 120708607, 39011870, 4643354 ], [ 24568957, 56680051, 9024081, 14331210, 25910147, 83387888, 81223123, 2963064, 47429823, 43296192, 105680443, 55136879, 16948464, 63070458, 57273016, 52548829, 7619152, 44778422, 91049636, 91072366, 29848094, 83754180, 7097485, 34088334, 32404941, 43176167, 228797124, 9297054, 36979083, 9811063, 17851763, 30580668, 30480996, 19490018, 23168342, 6019223, 126614593, 90589342, 10899413, 35959074, 50758034, 74514401, 114412716, 45341313, 133202078, 10151165, 46963576, 5528881, 76526466, 52133795, 26014536, 87331021, 45328380, 13554292, 6406540, 13802806, 82126738, 9884510, 11163758, 28456691, 48272422, 29606807, 23589041, 69828298, 758187, 5954598, 9199391, 5224622, 94420609, 11128502, 65080746, 6038789, 26179740, 12467909, 77689128, 9022882, 34087761, 62078491, 44841138, 31840795, 10746066, 51068483, 2861994, 60458038, 203993, 23136344, 127657585, 34766411, 48669013, 1586059, 28854300, 58071525, 8028375, 19222845, 419966, 5229812, 9904138, 43573138, 97770868, 9350717, 2278521, 22447868, 21893811, 33373381, 5910747, 10148911, 12047128, 63845085, 60066507, 94194490, 12308177, 27382384, 18175974, 194919342, 204531175, 26406378, 48268857, 61346784, 5548202, 51565532, 7805551, 277962867, 6464083, 61736475, 30813242, 51706520, 105094583, 59881781 ], [ 24568957, 73356611, 61736098, 30637130, 25910147, 7829423, 56732372, 89715718, 11338106, 14466046, 138048563, 58141178, 26224860, 13920403, 17985320, 24770995, 21637467, 44778422, 168515831, 60753753, 67265936, 5943802, 35710566, 34088334, 1830157, 23604150, 80343095, 8874972, 4139590, 21147669, 182484876, 28857644, 81060133, 19490018, 9919743, 85640395, 15752055, 139459833, 3074344, 1387043, 188043164, 101718223, 47817339, 10231917, 20220556, 10914927, 16984205, 5528881, 102949115, 75118583, 26014536, 87331021, 39225677, 109565665, 47110452, 28002194, 115416085, 8221730, 4802336, 95076704, 48272422, 48287149, 22429268, 3549008, 25872681, 4429395, 9199391, 20876282, 17798266, 11128502, 18298946, 58171896, 109216215, 12467909, 27105524, 116247650, 60714299, 4232416, 38778117, 19249411, 8576846, 40201275, 113429779, 14250187, 59114458, 23136344, 70612682, 63354962, 48669013, 36893374, 28854300, 7492623, 61543410, 19222845, 419966, 5229812, 9904138, 4582881, 110766261, 20694858, 6496455, 6227883, 27030575, 15381447, 18629613, 10148911, 40731865, 58570577, 41387571, 49044164, 49793696, 8398352, 22799841, 139459312, 138845373, 6342424, 48268857, 23286481, 17555255, 73708428, 10094996, 67476139, 6464083, 32373667, 97987349, 22005357, 1957996, 8385885 ], [ 155654907, 13262061, 72260526, 135265314, 136245013, 8396742, 171379055, 165161964, 47429823, 108969145, 18877676, 74243328, 8799657, 307610120, 152882462, 120030736, 21894805, 71059835, 36252645, 23242567, 27850956, 46042705, 15384530, 34088334, 15072477, 46559750, 10281903, 9428522, 85673659, 21147669, 64744900, 30580668, 95938852, 19490018, 9919743, 180270267, 73541817, 321157428, 68006720, 61987849, 74582199, 39668587, 49905013, 45341313, 196409804, 134952567, 46963576, 145062040, 76526466, 182224176, 68774826, 87331021, 15119195, 211551143, 74241463, 119766439, 70431749, 6044690, 14648640, 219978606, 224814213, 127805451, 166247101, 48164330, 28367226, 5954598, 57638092, 103911503, 94420609, 11128502, 3851292, 94246456, 37950454, 12467909, 22431207, 88131167, 41122030, 25369199, 65447658, 26225179, 49030490, 156045941, 24766906, 14250187, 74040791, 23136344, 6116429, 143590005, 52984891, 40672145, 28854300, 7492623, 53375586, 19222845, 5586993, 5232805, 60647569, 10745891, 46884417, 32328827, 45749314, 79870237, 27030575, 154933537, 56046697, 136739244, 2331077, 135052284, 106621987, 105977133, 261926161, 152283894, 34900327, 108900973, 118735060, 77874438, 14187457, 165010674, 126810056, 90507478, 158230392, 11389182, 6464083, 145212191, 202144210, 184535089, 39011870, 158189237 ], [ 24568957, 95001024, 91521943, 26799884, 25910147, 48019938, 76975234, 83687780, 271635676, 43240855, 71647099, 25193543, 132813637, 113308800, 124769759, 13112516, 153689152, 148363555, 51287163, 56392526, 55207487, 46042705, 54507159, 34088334, 32758821, 163246600, 1271261, 75995835, 36979083, 9811063, 33422527, 385182958, 29973563, 528225, 93282730, 155119279, 89979232, 21750736, 182399285, 76896777, 137402262, 39668587, 49905013, 83719085, 239972320, 140560652, 308848396, 5528881, 28791263, 75118583, 26014536, 76403574, 111175371, 188350636, 98129014, 13802806, 102420547, 51996966, 14648640, 133788433, 2470016, 22146385, 14724011, 16204944, 745699, 123772041, 3148072, 59124870, 9998005, 2434392, 22704879, 57092899, 26179740, 192485822, 56088204, 73953910, 687837, 176216109, 95255415, 186589346, 92630182, 36038136, 187060446, 132686489, 7835358, 23136344, 69831799, 98396358, 35901352, 73828439, 124823207, 11521135, 28739419, 19222845, 66625498, 165881465, 2837940, 43573138, 110766261, 32328827, 22953946, 22447868, 48659214, 28666453, 18629613, 94160696, 76288279, 31178686, 35164341, 52746721, 154903594, 202764009, 47260902, 42779730, 69246407, 77874438, 14187457, 271904454, 24346444, 158426488, 233000712, 2485405, 116913662, 76736454, 140132668, 41984020, 86532592, 12517399 ], [ 1420552, 15982841, 91521943, 26799884, 29918817, 19122126, 8269977, 10728620, 47429823, 22783534, 111594686, 28429720, 84520594, 61896739, 2130868, 18429975, 72713629, 143954271, 20622842, 50333601, 17088587, 20933782, 52292132, 55455795, 4836413, 43176167, 17558543, 50976542, 4139590, 21147669, 50069238, 94730687, 119456473, 44942891, 45263395, 560376, 140274632, 159781768, 3477864, 36700884, 56845272, 7407931, 42716712, 124972417, 36158276, 5564078, 29968857, 24970174, 59422677, 33952486, 114765937, 53575456, 51243350, 28863318, 68762402, 33773936, 156894790, 6045037, 11163758, 2318695, 43117440, 12087326, 3006913, 6921616, 14845455, 6446627, 77986125, 109618711, 16242110, 11128502, 80712506, 116540996, 29657818, 18583904, 35974817, 29936313, 1375471, 138757696, 24397799, 19249411, 76332171, 114874996, 24766906, 10467512, 8841244, 14097842, 32312309, 143590005, 123811467, 26170125, 1357031, 185467806, 33739783, 19222845, 66625498, 5229812, 6095801, 16019845, 38725004, 26937213, 111311857, 143406921, 50865195, 106980532, 7260278, 179341990, 52774061, 15012229, 14883845, 46780302, 26595740, 221340547, 34900327, 25577671, 91062607, 22727121, 82300461, 92925563, 39902837, 20672213, 40479672, 7419461, 13840029, 14147659, 84204474, 22005357, 18955794, 27466041 ], [ 133767379, 97085922, 67931810, 52262630, 25910147, 98311149, 157367015, 10728620, 47429823, 25782497, 71647099, 8994240, 71615469, 179793472, 44402511, 18429975, 284842469, 134271727, 19948909, 62336961, 48757041, 36804044, 36114349, 93480307, 46376872, 15344011, 16674892, 46274253, 15008200, 34650596, 32318278, 1452202, 103378009, 121975279, 9919743, 55362925, 140274632, 94981046, 16569881, 159895372, 109993859, 28262806, 12920141, 124972417, 239972320, 109770227, 46963576, 123954435, 158171974, 85786520, 4981553, 87882251, 51243350, 211551143, 74241463, 47709058, 179471924, 8321069, 11163758, 17090967, 35213388, 12344388, 3006913, 126875391, 116251828, 139221672, 110304335, 20876282, 10875213, 11128502, 53822633, 104722467, 29657818, 46362165, 155837740, 80348478, 142157452, 92990750, 2203688, 10251915, 334235957, 240350028, 24766906, 20985205, 61016156, 111048084, 62842898, 19953241, 9535770, 11286161, 17324566, 7492623, 33739783, 19222845, 91273570, 5229812, 5674697, 24276669, 25504823, 137504178, 122133402, 120880092, 26617542, 75286142, 7260278, 36643396, 1030147, 141103902, 35164341, 46872430, 31533926, 152283894, 87194852, 35539146, 46894426, 39340313, 3124469, 43714819, 39902837, 44322097, 40479672, 77122686, 57802733, 46661621, 70979084, 72724469, 54866235, 27444927 ], [ 31885902, 1125960, 154190, 22700031, 3882449, 19122126, 2068764, 71232612, 11568794, 114197075, 30421189, 74243328, 71615469, 43543759, 7507939, 4605955, 35576948, 21131625, 8912232, 29611179, 83217922, 46042705, 46797033, 34088334, 36692203, 6727137, 16674892, 67381179, 4139590, 9811063, 32318278, 79037223, 19265032, 63262979, 9919743, 98801836, 10211036, 11901413, 562100, 109689335, 100880592, 7231323, 55977839, 124972417, 45483235, 8738751, 34533462, 5528881, 51897052, 17374128, 12644876, 57516223, 43439887, 49539256, 19560718, 13802806, 1527967, 6044690, 34291229, 108112636, 14715962, 97305873, 3006913, 7969807, 28367226, 14866905, 20292616, 12512447, 10875213, 11128502, 10805321, 2125718, 21822821, 6740528, 33384915, 73093584, 39663821, 46190334, 52479638, 19249411, 81887076, 28654178, 11914058, 39497832, 5486232, 181121, 94724971, 21941298, 716800, 1660998, 8898394, 7492623, 23401976, 19222845, 15727200, 5229812, 5674697, 43573138, 46980226, 32328827, 71312560, 22447868, 22173503, 28666453, 7260278, 6136708, 14934828, 21571738, 24606677, 18875456, 43644912, 9578138, 25133157, 36040155, 7738837, 37966319, 106619518, 9219250, 24346444, 26906888, 7805551, 67476139, 15840429, 52029737, 16850490, 29420530, 1360990, 85240760 ], [ 65594760, 65543923, 20551867, 73380578, 33277103, 7829423, 25919240, 76259733, 11338106, 49633329, 9939647, 17470031, 16948464, 43984272, 36634874, 158902529, 40855158, 44778422, 36161704, 15163429, 29356258, 106696443, 3681839, 53620517, 79825165, 32464945, 231065493, 46274253, 12848731, 21147669, 6659009, 24850506, 46035848, 19490018, 61905387, 22598478, 3361707, 93099442, 71199642, 132617706, 38375191, 16703260, 114412716, 124972417, 193631313, 5564078, 81676722, 11190101, 99676746, 52133795, 6062175, 49228694, 3231374, 104804112, 64904060, 10654555, 69399563, 6044690, 64479565, 6610976, 42308253, 69994182, 10979973, 58271736, 28367226, 108437190, 25430061, 3498867, 12141502, 11128502, 28194980, 7068486, 56955854, 215436, 7806753, 23136473, 26633138, 36564773, 19353368, 117847711, 76332171, 11841208, 43920541, 23576199, 8841244, 14865123, 71541590, 22700480, 36523646, 73828439, 28854300, 19209641, 2952376, 3451494, 15272083, 5229812, 9904138, 15323433, 64520074, 30702354, 31953348, 75702543, 21893811, 79708084, 83503572, 74299560, 38484741, 25347293, 12933874, 19719398, 19506101, 33666764, 34900327, 22056010, 76060002, 13207700, 36231807, 52366992, 28110601, 22717768, 29709297, 8338365, 5579813, 78707398, 78854301, 51706520, 21267640, 8385885 ], [ 268085902, 52693185, 58499433, 97759755, 124208477, 7829423, 11334436, 112408125, 11338106, 29961231, 113151233, 55136879, 49913920, 75666424, 57273016, 49018343, 36090254, 44778422, 7011872, 2916047, 29984501, 117615444, 44698635, 34088334, 17271424, 3571107, 1156155, 224562856, 25401122, 21147669, 15189005, 9752379, 92420806, 91141172, 9919743, 22598478, 16958417, 90589342, 210096272, 127273748, 84749046, 17280545, 84011763, 15375500, 92458614, 5564078, 46963576, 33182577, 89966330, 140828493, 27794976, 86665551, 51243350, 27873659, 17366602, 10654555, 7221306, 500064, 11163758, 15659086, 39023430, 116552131, 33395442, 74046888, 57706920, 8767110, 70797506, 15165478, 63046026, 11128502, 357755257, 30344965, 253625584, 89533723, 39532680, 96698991, 48982349, 55056725, 50712200, 52529742, 76332171, 48358830, 24766906, 149101973, 8841244, 23136344, 14478024, 50140543, 34488056, 39540962, 6882992, 7492623, 92276158, 127285520, 16862142, 5229812, 9904138, 43573138, 119786801, 30702354, 147191683, 21236701, 64410245, 18143679, 130473895, 15926424, 72639193, 77899807, 35164341, 26274145, 26874402, 18668880, 93898343, 9334814, 16205950, 59038089, 82300461, 20467048, 39902837, 10524672, 1819671, 35006057, 32606992, 78707398, 124924935, 248547638, 80254761, 8385885 ], [ 36165227, 11526341, 80749299, 443483866, 25910147, 117181016, 182108133, 144050571, 47429823, 144204562, 151853792, 23234758, 306641845, 206369527, 17278478, 150530466, 3283345, 141519446, 96589875, 138673085, 80759830, 13430515, 49929162, 27832087, 18914197, 47168326, 284137251, 268041962, 85673659, 63295651, 39537873, 61238071, 168067667, 179158196, 22427269, 107832548, 15752055, 291945583, 42599719, 194479144, 259994305, 17280545, 68293873, 124972417, 239972320, 24783051, 46963576, 87623488, 60031440, 215290600, 26014536, 250279628, 105037800, 175944293, 74241463, 10654555, 48212736, 199915477, 24519009, 31897130, 158797920, 352702555, 66764667, 21589052, 185476593, 54656905, 98447598, 121142618, 7445093, 11128502, 65080746, 6038789, 109216215, 28358421, 63911371, 94449962, 142157452, 101835444, 106097577, 7071017, 243336865, 99339, 24766906, 99854249, 173920476, 45956937, 9982718, 143590005, 123776011, 527668091, 115430481, 121254993, 42183120, 19222845, 39110559, 5229812, 242640728, 20082573, 110766261, 210341802, 59959569, 6227883, 53806064, 50616358, 18629613, 4900151, 142889517, 71092343, 35164341, 94194490, 114282687, 275139415, 93898343, 13069568, 521060671, 31218679, 24807458, 13538801, 39902837, 500699573, 114006607, 23424037, 163056692, 3030832, 238915946, 8585931, 194455763, 47511467 ], [ 6925873, 22529708, 43139594, 4208636, 43964340, 42600000, 54149084, 24139189, 11338106, 43540580, 10278007, 12932150, 40597288, 29888653, 36634874, 4605955, 18518610, 1320109, 42311342, 28941804, 29984501, 99561417, 54507159, 34088334, 8151623, 47168326, 146146899, 42130059, 23013064, 21147669, 36342808, 72608530, 46035848, 45271373, 9919743, 22598478, 16380709, 90589342, 70834599, 26723723, 36108440, 26317362, 59958483, 744442, 57174498, 101894607, 25188003, 121858931, 78926201, 323411093, 26014536, 13260044, 12789386, 67955405, 46586833, 28456575, 26847428, 6044690, 51603581, 34069127, 64474081, 43218884, 33395442, 130644382, 28367226, 8767110, 9199391, 20876282, 50326426, 11128502, 65080746, 53478404, 111909300, 61071207, 55101405, 43596550, 21526573, 176216109, 19353368, 7147687, 45404420, 10158467, 24766906, 17277866, 6313052, 23136344, 122009145, 101305073, 74453127, 25247231, 24449264, 7492623, 30136489, 2287244, 20114925, 5229812, 63753642, 37660575, 8006431, 158890012, 54147679, 40117277, 46124803, 57804699, 29603894, 77292357, 14934828, 98804039, 26093144, 77913549, 49678368, 152283894, 22640866, 1164866, 30062448, 31218679, 64456563, 15536856, 39902837, 51565532, 32182005, 91003529, 15840429, 4241466, 11770568, 49757387, 4450784, 8385885 ], [ 39144396, 65543923, 91521943, 453750, 43964340, 7829423, 138825044, 13017926, 11338106, 57598194, 151853792, 12932150, 15469370, 43984272, 61962938, 15594252, 18518610, 44778422, 146682443, 28941804, 56454166, 22637705, 54507159, 233575, 8151623, 34974794, 146146899, 166038206, 64254371, 21147669, 1956218, 108535708, 92420806, 84247488, 9919743, 22598478, 61408395, 49917506, 79146054, 26723723, 36108440, 17280545, 11857120, 22668122, 64752434, 10151165, 13075179, 14156480, 106295078, 34650908, 26014536, 87331021, 12789386, 21139736, 42863142, 17806699, 82126738, 34742023, 15884365, 31897130, 128848867, 71369223, 76436830, 15008321, 83584128, 136051993, 7457762, 5224622, 50326426, 11128502, 81048222, 276999921, 104330210, 132703814, 105449809, 76258876, 142157452, 71500726, 98889092, 108979105, 53905847, 48006655, 24766906, 45804300, 136457816, 11192845, 43857363, 143590005, 52984891, 30310893, 191962791, 7492623, 23401976, 10729579, 64562711, 5229812, 9904138, 16829863, 64520074, 30702354, 207298763, 173995419, 22173503, 114835017, 29603894, 112277713, 160122026, 63617551, 35164341, 48503409, 8198026, 114841073, 1250663, 13069568, 54283146, 7845512, 12434599, 135279616, 4861731, 14993420, 7805551, 54314133, 81708627, 16097907, 13555044, 15810839, 275393697, 8385885 ], [ 63235793, 110676249, 185312246, 7176448, 136245013, 7814850, 81223123, 47079157, 5863279, 6475993, 90727565, 74243328, 92143778, 69439694, 239835454, 31653922, 21637467, 13983601, 45008831, 129371577, 29984501, 42114126, 54507159, 34088334, 35481354, 43176167, 16674892, 46274253, 65657951, 39850670, 32318278, 92922961, 92420806, 113969014, 4133651, 82947169, 15752055, 13208849, 131021875, 42141410, 48152962, 34708374, 4528959, 77327798, 56922905, 10151165, 2142306, 145062040, 248598805, 42470010, 26014536, 78383290, 63298783, 37635859, 46245928, 61359862, 80367055, 6045037, 37915917, 108112636, 64474081, 48287149, 33395442, 7969807, 34247476, 178345831, 110304335, 20876282, 13933753, 11128502, 101377208, 14567379, 109216215, 6787830, 55101405, 49951593, 69710786, 66956822, 51155142, 1081391, 63506446, 10632238, 103737263, 12665720, 119474971, 23136344, 192082432, 103171910, 26360257, 73828439, 119485024, 8231472, 2360987, 19222845, 39110559, 5229812, 49803073, 43184542, 8006431, 118259672, 61104428, 9498304, 22173503, 42464866, 78447563, 4696912, 102658799, 53618226, 14883845, 63829230, 31216632, 203504414, 27123554, 67528546, 8717165, 77874438, 49174814, 118262046, 39902837, 227634995, 7805551, 7511567, 13840029, 28196801, 119371817, 58947760, 183815103, 8385885 ], [ 6925873, 39478371, 2691580, 3203906, 136245013, 19122126, 115992276, 24077093, 11338106, 16677736, 24054309, 59909949, 3183692, 39175709, 76674202, 4605955, 51123897, 105350479, 42310155, 53936871, 14201346, 12071952, 15739206, 14450763, 4836413, 47168326, 25770133, 46274253, 4139590, 10060955, 36342808, 16273457, 62868514, 22139412, 9919743, 82947169, 50305237, 34499634, 562100, 28068305, 48152962, 16195468, 98787651, 67083078, 71913964, 18939602, 28594679, 459578, 28459627, 8700960, 2550892, 78383290, 47000794, 21139736, 3242583, 34775875, 16762983, 6045037, 11163758, 37373580, 64474081, 53945050, 36242698, 7969807, 2332974, 65102489, 85136912, 20876282, 127569317, 11128502, 7546726, 8782038, 66008739, 60270550, 21879772, 14220619, 35857340, 92990750, 52479638, 19249411, 13870821, 10158467, 24766906, 38029146, 82175132, 32423034, 63039375, 8155286, 12328115, 5080235, 69025116, 7492623, 2360987, 19222845, 11233661, 5229812, 5674697, 14413543, 39628671, 9350717, 170908025, 79870237, 46124803, 33436126, 8770362, 6580875, 14934828, 123285151, 11775402, 24197965, 160339122, 64233309, 30118497, 933690, 5725335, 35043720, 9457991, 2726960, 11164834, 3923120, 10108681, 32601492, 13840029, 28196801, 74621554, 144915952, 54663602, 8385885 ], [ 115315364, 22529708, 81865252, 74511019, 82466440, 7829423, 60053269, 24077093, 38287591, 35548090, 126856013, 60970584, 11184496, 43984272, 36634874, 90122858, 18518610, 4449218, 29159332, 91072366, 6446714, 46042705, 48133062, 34088334, 8151623, 6968936, 16674892, 31043805, 85673659, 21147669, 32318278, 14104276, 10864353, 62263104, 9919743, 22598478, 31600162, 13704278, 37541887, 26723723, 36108440, 10259202, 98787651, 84396464, 239972320, 10151165, 22740728, 5528881, 84387194, 52133795, 4729496, 7635835, 12789386, 49755262, 98129014, 28754582, 22877542, 20700434, 135362418, 82513676, 54981963, 134825481, 158205286, 30554632, 175361297, 23458859, 55989343, 11729070, 40418232, 8937545, 88539460, 93778652, 1971872, 44822158, 56088204, 29988866, 60974175, 50666596, 50338537, 29808481, 70991639, 33612121, 36793278, 26791723, 194114010, 10505808, 133441615, 91342936, 46710689, 115350400, 89650984, 7492623, 23401976, 19222845, 68169066, 5229812, 48458151, 43573138, 15782571, 32328827, 248177336, 79870237, 1328670, 33373381, 29603894, 108006668, 36849268, 43092582, 35164341, 34263153, 31533926, 5101358, 1250663, 107518219, 15882741, 6957979, 1330228, 4263372, 1397280, 7574241, 7805551, 67476139, 83209020, 78707398, 294728133, 25873960, 163537605, 1734627 ], [ 42188445, 97085922, 154190, 31312792, 1259187, 7829423, 46756581, 175062077, 16075267, 71013518, 3134393, 55136879, 281470289, 100781984, 7894273, 275232898, 41078076, 43543825, 2898306, 42001630, 223680440, 46042705, 25690881, 34088334, 49599474, 47168326, 79243473, 209129946, 67213595, 21147669, 164556959, 28857644, 41938917, 30842326, 140365180, 107832548, 64129861, 68112369, 209717285, 194479144, 108687630, 39668587, 49905013, 116998205, 141293504, 126088946, 11842263, 76968667, 211461577, 224854834, 24178572, 10030682, 246096465, 103001855, 74241463, 22160100, 3877784, 54756501, 14648640, 95076704, 259349902, 48287149, 38504136, 48164330, 25872681, 92686520, 45806878, 12512447, 9998005, 11128502, 57909050, 64570389, 66324212, 118429636, 20588532, 116247650, 142157452, 4232416, 95255415, 79697873, 118448117, 60270032, 24766906, 212023528, 179762713, 23136344, 143989921, 51688056, 35901352, 1660998, 4299205, 17197063, 251167396, 19222845, 15727200, 5229812, 2837940, 43184542, 12327397, 32328827, 182783882, 79870237, 42079081, 110740214, 18629613, 60881301, 100143768, 21571738, 35164341, 52746721, 38527632, 163693541, 22799841, 96190346, 7416612, 77874438, 14187457, 21532160, 39902837, 11520981, 10094996, 2485405, 7194354, 14891283, 15036074, 39655211, 67751515, 158189237 ], [ 24568957, 22529708, 9690863, 92065302, 25910147, 7829423, 115046075, 143527101, 11338106, 14650532, 19587053, 17470031, 219194791, 93149972, 75439003, 17842740, 21637467, 69607594, 32971289, 56392526, 48757041, 118009155, 54507159, 34088334, 79409986, 43176167, 133758735, 2566108, 67213595, 74644488, 36342808, 4817479, 92420806, 10967976, 22427269, 53729183, 15948992, 11986853, 12077891, 5342163, 65622868, 7658704, 24976361, 84396464, 56922905, 10151165, 46963576, 145062040, 120291076, 72778389, 26014536, 304721554, 123441886, 49755262, 41938107, 29246001, 3093796, 8221730, 66967279, 31897130, 2470016, 66483467, 166247101, 47980771, 745699, 5362048, 21391944, 20876282, 36603489, 11128502, 11364696, 104722467, 31227749, 71016383, 20588532, 94579031, 142157452, 4232416, 145075117, 1081391, 45404420, 10158467, 4921097, 94155543, 48897944, 15722304, 71541590, 92190749, 35901352, 164468550, 156876833, 173718580, 23401976, 19222845, 4570751, 104997302, 44055985, 43573138, 34881830, 9533755, 6496455, 9498304, 16192010, 2842731, 18629613, 4696912, 47583747, 123016566, 35164341, 187897990, 31216632, 192574244, 34900327, 13069568, 66023755, 33645487, 18175244, 89177084, 62831370, 7393291, 7805551, 67476139, 81708627, 30294394, 49228894, 41984020, 86532592, 8385885 ], [ 84401073, 83328899, 91521943, 106844904, 136245013, 134314624, 128708096, 10728620, 11568794, 158708634, 195474420, 1616244, 84520594, 66481109, 84375885, 4605955, 10545885, 65232015, 251414193, 15534804, 97304613, 3425768, 54507159, 44989318, 15072477, 3680525, 9823384, 31043805, 4139590, 21147669, 151768208, 16273457, 91637449, 47743843, 24431798, 15893949, 3361707, 103190083, 23580742, 194479144, 664293, 22908001, 8121061, 6081311, 201355146, 18939602, 46963576, 82010730, 21872131, 33952486, 26014536, 33810309, 161036725, 15889489, 17366602, 1166550, 16762983, 37667742, 31180047, 62180514, 90893958, 51921857, 14882652, 47843127, 4695700, 126111477, 107754139, 20876282, 106429045, 11128502, 65080746, 112239356, 29657818, 60270550, 53663598, 45985737, 142157452, 185524520, 139933448, 19249411, 84942547, 92934686, 24766906, 50542983, 200650391, 35296671, 35787454, 61868847, 75863368, 32243917, 119485024, 71502340, 53375586, 19222845, 17551062, 5232805, 113461032, 43573138, 305046928, 210341802, 200679942, 57329203, 7860370, 26342966, 63925694, 77292357, 14934828, 30623069, 145207535, 112674842, 31533926, 19797370, 140431459, 71173050, 101443646, 12788432, 9457991, 6095430, 64612833, 83135938, 282817243, 216949409, 15840429, 211549446, 82142274, 15791345, 54663602, 81159617 ], [ 53029900, 97085922, 34280264, 116750431, 3857650, 14489962, 81223123, 109776646, 11338106, 160907116, 30421189, 162280090, 162302188, 75666424, 57273016, 71167525, 124340353, 148363555, 338743116, 28011553, 29356258, 357907547, 54507159, 34088334, 39462877, 8027621, 16674892, 31043805, 4139590, 21147669, 32318278, 48525486, 92420806, 217691524, 14422102, 22598478, 154444328, 220242865, 28521023, 143290433, 188043164, 152260793, 168913838, 1044309, 273180370, 181581527, 111351961, 145062040, 84387194, 24824274, 26014536, 87331021, 239389395, 60002792, 175240321, 10654555, 177760154, 111471997, 284561216, 12787985, 158349795, 163526627, 33395442, 42335783, 129912777, 42677988, 117692617, 116873020, 66375081, 40111021, 301809569, 3453250, 57974899, 60270550, 152666196, 608071350, 233231838, 144514559, 259705039, 19249411, 46815173, 115349685, 267136534, 171092487, 30525594, 23136344, 53035391, 143590005, 160493631, 73785543, 119485024, 290429851, 8702321, 29726752, 77420654, 5232805, 5674697, 15323433, 224993317, 539022711, 269178695, 79870237, 81322196, 315305149, 373500289, 136739244, 38484741, 125334358, 35164341, 101687233, 168491152, 178797147, 93898343, 16286261, 23536374, 71561743, 6278682, 118836435, 120377257, 46284877, 40369321, 9601057, 87110961, 78707398, 248994150, 7517031, 54663602, 8385885 ], [ 175944186, 144903176, 19403589, 10133382, 125013236, 270127773, 81223123, 117250155, 47429823, 279055988, 151853792, 55136879, 71615469, 75666424, 36219512, 21736456, 40855158, 90724599, 349891964, 138673085, 12504639, 276193736, 54507159, 48181384, 15072477, 47168326, 9823384, 207349482, 85673659, 21147669, 216228118, 72608530, 28190702, 222901832, 9919743, 15893949, 140274632, 15739239, 230300349, 134078200, 88913394, 13424672, 49905013, 119511733, 133202078, 110001842, 46963576, 118014743, 111660739, 62817420, 26014536, 72341909, 39362456, 67955405, 28838023, 280660666, 69399563, 71019915, 39065278, 85967173, 10077062, 96510512, 33395442, 70102573, 23802493, 34035772, 131606927, 313465, 32021005, 11128502, 53990024, 24264615, 104330210, 166235996, 12690449, 11067886, 142157452, 25369199, 26679701, 26225179, 222406064, 51068483, 16703008, 121719545, 133390556, 7244825, 5173307, 143590005, 126206836, 45315856, 49312830, 7492623, 54719857, 19222845, 19860340, 75481534, 33887047, 6384058, 8006431, 24178693, 8694788, 84501744, 1328670, 79019011, 33790723, 2904225, 16100879, 199328976, 3591392, 142381703, 31533926, 66045757, 87268705, 109894691, 67308819, 50231375, 45812749, 71072954, 33559254, 51565532, 20933357, 467146241, 256265779, 58372342, 73978516, 43081569, 8438163, 1734627 ], [ 82816544, 13262061, 91521943, 152848284, 91770733, 95729574, 15454074, 10728620, 47429823, 16677736, 3693519, 74243328, 46653823, 40937385, 57273016, 18429975, 10545885, 148363555, 97842318, 12230160, 29984501, 70120030, 54507159, 34088334, 96662021, 47168326, 70439458, 46274253, 36979083, 9811063, 32079319, 70712698, 85182845, 19490018, 9919743, 107832548, 51799349, 239543388, 23580742, 64448995, 12800315, 2773856, 98787651, 17925071, 18086601, 57317810, 46963576, 106036889, 57139815, 49305713, 26014536, 86665551, 123460365, 67955405, 74241463, 13802806, 179471924, 34340596, 68190508, 37539156, 134160847, 14572170, 33395442, 80842483, 208883026, 34035772, 2235822, 313465, 54509151, 11128502, 33792142, 5975129, 26179740, 12467909, 137897006, 21353698, 142157452, 138757696, 10845223, 108979105, 28497191, 8458128, 24766906, 33996742, 37309854, 7244825, 53035391, 143590005, 87106998, 73828439, 28854300, 7492623, 52351213, 19222845, 163961914, 5229812, 242640728, 43573138, 86719290, 118259672, 48448231, 22447868, 64410245, 132992065, 79147676, 58838564, 16100879, 50640471, 26894823, 48503409, 8198026, 4441245, 34900327, 167048542, 51181958, 3516097, 123359600, 21044612, 24346444, 46284877, 20943749, 277962867, 6464083, 27607506, 126163014, 2809997, 39011870, 55672401 ], [ 73278332, 73957937, 91521943, 39300899, 53044868, 117181016, 96735337, 72679074, 47429823, 16677736, 10278007, 25903025, 89693520, 40937385, 24863823, 162016971, 36090254, 44778422, 14248063, 79113300, 69861726, 116153520, 54507159, 34088334, 98396444, 47168326, 22853199, 263950792, 37749319, 21147669, 182484876, 72608530, 130629805, 105487049, 22427269, 15006975, 78191777, 15739239, 75907274, 64448995, 116225405, 17280545, 113079362, 89032493, 141293504, 97818116, 46963576, 145062040, 49723845, 185945601, 26014536, 14538314, 184495468, 13554292, 26675367, 122424808, 20533806, 134823790, 14648640, 31897130, 43117440, 105334822, 43873508, 48164330, 42556680, 110920637, 58635147, 3498867, 63046026, 11128502, 33792142, 105342013, 119224033, 70945727, 20588532, 235806088, 51828927, 11064318, 58722315, 53956192, 46873405, 29198634, 24766906, 45077948, 42126297, 12526600, 53035391, 34766411, 192077544, 73828439, 54417354, 27381846, 20286730, 19222845, 81259506, 141875621, 9904138, 43573138, 8006431, 30702354, 126783323, 61461740, 60899828, 11383026, 148062336, 1543963, 102407552, 50640471, 35164341, 99469150, 53651415, 50978585, 57573856, 13069568, 22247277, 77874438, 14187457, 118836435, 18090748, 46284877, 15166187, 76350134, 37426293, 35781802, 44236451, 120708607, 39011870, 55672401 ], [ 24175356, 97085922, 31489282, 80487212, 33277103, 7829423, 15454074, 10728620, 11338106, 16677736, 5057352, 55833369, 71615469, 13920403, 57273016, 149365942, 16975223, 8106186, 5524917, 28941804, 29984501, 83754180, 54507159, 34088334, 32404941, 43176167, 17402290, 39720231, 75666990, 21147669, 13408816, 30479417, 26409604, 84314686, 9919743, 15006975, 5971886, 86324315, 23580742, 3972994, 12891339, 74514401, 98787651, 89032493, 91330508, 72681927, 81676722, 5528881, 89319743, 49305713, 26014536, 7980156, 45328380, 66547513, 98129014, 37183143, 179471924, 126129628, 14648640, 99788052, 1431459, 126859771, 33395442, 13595875, 46311593, 23458859, 72891945, 20876282, 16242110, 11128502, 78302776, 50153561, 104330210, 266999557, 67091866, 21353698, 149465596, 46115680, 84363859, 12573529, 46873405, 6306853, 93224471, 1915275, 37309854, 23136344, 53035391, 97802999, 34164230, 52918840, 191962791, 7492623, 8702321, 19222845, 764587, 75897377, 44202109, 15323433, 86719290, 65045025, 38867257, 61461740, 21893811, 11383026, 83503572, 10148911, 28797117, 16595697, 35164341, 61325488, 31533926, 4441245, 5629287, 30976493, 22247277, 17009030, 14187457, 118836435, 25620397, 7755034, 59786288, 59707201, 17832662, 27607506, 85812889, 51706520, 133342827, 8385885 ], [ 82816544, 97085922, 14916627, 25456909, 33277103, 7829423, 81223123, 64431607, 83327269, 16677736, 33741451, 74243328, 71615469, 113308800, 23331017, 11662538, 18518610, 98105914, 308674289, 28941804, 29984501, 106696443, 54507159, 233575, 8151623, 2028058, 70439458, 33771516, 36979083, 9811063, 33618351, 24392808, 130629805, 103716003, 9919743, 52480115, 66556052, 24554342, 9985536, 5414511, 146868981, 5447914, 45535137, 124972417, 161202577, 26757336, 191320393, 145062040, 116687584, 147982748, 26014536, 72513565, 12789386, 67955405, 98129014, 13802806, 116995290, 57345974, 94236268, 31897130, 231539970, 56202485, 33395442, 16204944, 37868488, 4770883, 131606927, 5159384, 50326426, 11128502, 361351087, 126757, 26179740, 14565946, 238573017, 116247650, 37518270, 63193423, 50338537, 58190433, 10928238, 5570609, 69669642, 45077948, 149503516, 23136344, 31450107, 143590005, 118679480, 73828439, 126056913, 7492623, 8702321, 17768678, 105264521, 5229812, 10287883, 15323433, 78856754, 139996173, 216701986, 22447868, 64410245, 124355389, 42045324, 22308777, 160122026, 185295986, 44186, 94194490, 46464944, 66045757, 17980645, 13069568, 54283146, 71561743, 81119497, 31934816, 24346444, 94962878, 15166187, 67476139, 133574929, 35781802, 73978516, 74719192, 39011870, 120635486 ], [ 63235793, 83328899, 27156500, 53684186, 136245013, 7829423, 67601439, 86963849, 47429823, 65059950, 975437, 74243328, 12121444, 66481109, 41138122, 21736456, 7619152, 44778422, 97842318, 29461190, 29984501, 57450360, 54507159, 34088334, 15072477, 23987554, 9823384, 18660679, 10837950, 5953565, 182484876, 32335846, 130629805, 20023352, 9919743, 15893949, 5971886, 52916695, 58347541, 89111640, 19096358, 41667267, 98787651, 107806842, 39598691, 166151824, 46963576, 63090337, 27658597, 33952486, 24470340, 80263321, 38585215, 67955405, 17366602, 89522733, 75648262, 8221730, 139237568, 25490684, 61606123, 36211929, 33395442, 4081438, 758187, 26963067, 107754139, 59124870, 171753691, 11128502, 95500619, 28228757, 127014980, 48745199, 20588532, 116247650, 142157452, 25369199, 10845223, 26225179, 45404420, 19377587, 24766906, 67433929, 39570717, 23136344, 31450107, 104721923, 139181664, 68004229, 80627146, 7492623, 53375586, 19222845, 97838497, 65146730, 9904138, 43184542, 90706319, 30702354, 39021146, 9032973, 42410573, 11383026, 35071109, 136739244, 30097089, 43313435, 35164341, 169704050, 49793696, 4441245, 61107429, 152417019, 22247277, 12788432, 64456563, 9219250, 113306146, 13953635, 73416608, 76350134, 25747478, 78707398, 149975785, 116624874, 28762209, 48756787 ], [ 150014733, 13262061, 7831100, 85872254, 136245013, 7829423, 15779894, 4483658, 89195053, 124515762, 3683911, 17470031, 21363058, 12265261, 49941697, 79953024, 36090254, 148363555, 51287163, 56392526, 29984501, 46042705, 20178723, 34088334, 142821452, 34974794, 18636233, 24597452, 36979083, 9811063, 75153086, 70712698, 88527179, 19490018, 22427269, 22598478, 93550397, 34814590, 86884185, 33924230, 5362737, 17280545, 42794805, 89032493, 36955796, 5564078, 21732457, 33027000, 180306359, 32085676, 26014536, 38680821, 15119195, 49755262, 96392669, 10654555, 104899381, 131914383, 14648640, 31897130, 11267373, 146962618, 33395442, 48164330, 189214701, 39388203, 103196865, 109722322, 63046026, 11128502, 22704879, 5975129, 26179740, 6787830, 58929174, 52435044, 48982349, 62078491, 6272544, 145658896, 28623770, 4737400, 74513617, 45077948, 8841244, 12060014, 29171538, 143590005, 35901352, 73828439, 28854300, 12856209, 23401976, 19222845, 105227604, 5229812, 5674697, 43573138, 117864039, 32328827, 61104428, 13943434, 22173503, 88710090, 27992152, 137100047, 74355201, 199328976, 35164341, 44522371, 168782422, 158920423, 14426983, 10352035, 38064066, 77874438, 3207842, 118836435, 7752645, 21280434, 7805551, 52548562, 6464083, 4241466, 182436720, 321485801, 39011870, 35772956 ], [ 14107149, 97085922, 91521943, 15391990, 111922875, 264675200, 40798206, 10728620, 47429823, 16677736, 96952708, 50368910, 28059402, 6355329, 106825335, 16676730, 76141940, 98831401, 97842318, 42642543, 29984501, 25517734, 27724528, 5971639, 46333760, 47168326, 70439458, 41232461, 16651970, 9811063, 121159440, 120073101, 50975801, 57048640, 12399126, 107832548, 63462593, 134325217, 9985536, 64448995, 142991998, 23316974, 51348534, 124972417, 26152465, 5564078, 46963576, 114073879, 147732031, 12267106, 26014536, 40184086, 31024540, 30067172, 74241463, 5812366, 44184356, 39826382, 11163758, 57637243, 156295774, 44837934, 33395442, 18218627, 82186586, 4770883, 110304335, 11729070, 171753691, 8937545, 5178578, 30482599, 2585693, 18583904, 38498062, 157861051, 1375471, 153382927, 56862151, 60822658, 38633454, 33612121, 24766906, 45077948, 8841244, 23136344, 31450107, 143590005, 153883939, 111964555, 69689975, 99454625, 23401976, 19222845, 3987086, 5229812, 212505602, 14280183, 7671757, 148252258, 142721906, 22447868, 22173503, 49766336, 125697141, 94484605, 160122026, 104002459, 35164341, 94194490, 65608825, 4441245, 17980645, 40320644, 38421415, 77874438, 14187457, 198955085, 24346444, 13953635, 7805551, 36162150, 85358323, 12797032, 40782327, 96474971, 39011870, 16126660 ], [ 24186444, 90161977, 58479957, 52262630, 6100845, 38081745, 81223123, 199947324, 71474924, 25782497, 30421189, 50295970, 45110786, 43984272, 82691050, 31492154, 124340353, 8452286, 233447030, 138673085, 29984501, 148681913, 54507159, 34088334, 148366569, 157781285, 16674892, 16915598, 15008200, 21147669, 32318278, 144003824, 40148963, 169626572, 9919743, 22598478, 212946404, 94981046, 47056996, 41291095, 58475299, 21288678, 2746479, 124972417, 236211421, 13409402, 19848542, 65115822, 37100666, 147982748, 26014536, 86665551, 29805389, 174361605, 5554898, 34775875, 179471924, 74767847, 66967279, 15659086, 8117278, 42627051, 33395442, 129141680, 116251828, 42677988, 42399864, 79939435, 111536318, 11128502, 62886761, 71702004, 71656952, 154472239, 77122006, 109085950, 353990221, 22464142, 2203688, 79559230, 76332171, 76683363, 11914058, 132548885, 64355996, 23136344, 95496662, 143590005, 9535770, 73828439, 119485024, 7492623, 10807332, 19222845, 77420654, 5229812, 49803073, 13101409, 590581562, 122662315, 62151413, 52668225, 64410245, 108686905, 64269649, 112277713, 19350097, 55492560, 35164341, 63829230, 134330898, 109796449, 108892514, 132767123, 2960840, 77874438, 95133397, 111179648, 39902837, 40693849, 43942944, 94421834, 35652117, 78707398, 46362052, 77708775, 116591466, 85240760 ], [ 122507829, 97085922, 113505080, 27543629, 136245013, 7829423, 81223123, 112408125, 110370818, 314453549, 11836062, 35205643, 71615469, 12188205, 208333445, 61074071, 7913937, 44778422, 67004930, 7653999, 29984501, 176407070, 54507159, 34088334, 101437440, 3571107, 349706795, 39720231, 55409964, 126838657, 35107137, 70712698, 33744510, 19490018, 9919743, 6340533, 78191777, 140850652, 240537181, 109689335, 152101415, 103416385, 85570212, 124972417, 7150152, 129524648, 45155971, 142902414, 180306359, 315931567, 27794976, 87331021, 111175371, 52045318, 3426333, 258528927, 104899381, 63597656, 14648640, 129046407, 386062655, 54326434, 16632811, 48164330, 70686643, 39388203, 36637903, 3498867, 94420609, 11128502, 22704879, 5975129, 16830647, 12467909, 20588532, 116247650, 17765666, 36564773, 58722315, 63816841, 46873405, 19213264, 58720870, 104263718, 7835358, 23136344, 53035391, 143590005, 47087107, 73828439, 28854300, 7492623, 79325188, 19222845, 25784813, 5232805, 5674697, 43573138, 211593981, 30702354, 49502819, 64507793, 3858418, 199219900, 165357810, 137100047, 44438, 43313435, 14961336, 64130128, 57870099, 21710698, 47260902, 158765521, 51181958, 77874438, 14187457, 6241420, 253311951, 11520981, 12755346, 76350134, 6464083, 78707398, 22134021, 248847897, 133342827, 20795764 ], [ 24568957, 15868218, 91521943, 29306214, 70390093, 143782622, 35602426, 71961339, 47429823, 16677736, 33741451, 17470031, 86848865, 69439694, 91321064, 79953024, 117216042, 69607594, 149911674, 42877873, 8585098, 46042705, 10596429, 5971639, 59133428, 43176167, 47921185, 2566108, 16651970, 9811063, 182484876, 11712567, 33744510, 120120523, 35905471, 57582719, 85660278, 129801913, 81895603, 160855662, 188043164, 39668587, 99684469, 103700599, 36158276, 3379781, 2512961, 33027000, 203710445, 52133795, 26014536, 87331021, 147378393, 60752950, 12822868, 10654555, 30242148, 134823790, 10605280, 2318695, 64474081, 22146385, 43978709, 24550729, 36786127, 137077539, 131606927, 86246815, 26803841, 11128502, 61405058, 7911615, 26179740, 75861216, 20588532, 705943, 27684402, 21989413, 82872224, 49279826, 10746066, 19213264, 24766906, 90545516, 48897944, 23136344, 8917771, 99731275, 52984891, 67954737, 74471269, 88128509, 47854487, 12014157, 25784813, 5232805, 6095801, 14280183, 26783887, 32328827, 45270402, 18668538, 47651199, 88710090, 20196655, 23760392, 160122026, 107139149, 35164341, 7909063, 54401950, 146481297, 34900327, 51837287, 39972636, 44073629, 14187457, 127348439, 24346444, 12372336, 578886, 26184218, 87110961, 30294394, 75590569, 166270172, 62461820, 26970693 ], [ 82816544, 15868218, 91521943, 17635307, 136245013, 7829423, 98350183, 54412379, 176997801, 16677736, 314331461, 74243328, 84520594, 35931553, 285126274, 18429975, 47971413, 76237869, 188559672, 49455503, 69861726, 135743575, 54507159, 91592187, 15072477, 159112562, 42065784, 46833787, 85673659, 21147669, 216228118, 30479417, 130629805, 103716003, 14422102, 194540554, 78427061, 134325217, 9985536, 37153598, 10758040, 115658817, 63004085, 116766531, 96974578, 139331845, 59453853, 106036889, 281163292, 85786520, 26014536, 87331021, 90500402, 83410314, 29098730, 11735842, 179471924, 160318516, 139237568, 83157849, 386062655, 163526627, 43978709, 126875391, 589271075, 4770883, 131606927, 79250563, 256855811, 11128502, 334682816, 3453250, 104330210, 28730007, 224973781, 116247650, 13850065, 72876096, 194524819, 26225179, 233233563, 8458128, 21334069, 33996742, 74899291, 38758829, 188185640, 82047772, 215980433, 73828439, 78572977, 15589574, 96046918, 19222845, 248311967, 404229086, 179933804, 43573138, 93648340, 117208208, 123075091, 147623612, 64410245, 82155791, 150966630, 1543963, 82393759, 216589316, 53895569, 68109926, 31533926, 13449488, 17980645, 126327783, 23536374, 1188818, 142519476, 127348439, 114234826, 141085527, 4247184, 9601057, 20856392, 35781802, 44236451, 14739088, 28762209, 158189237 ], [ 109581778, 2248874, 57332646, 279970800, 125013236, 144409263, 55282321, 10728620, 47429823, 71013518, 33741451, 38819351, 71615469, 72957521, 50053741, 134780463, 52469754, 30524710, 21654249, 66344145, 29984501, 83754180, 54507159, 34088334, 32404941, 47168326, 70439458, 18140653, 36979083, 9811063, 86034316, 4276608, 37924836, 7613567, 9919743, 22598478, 31600162, 52916695, 23580742, 64448995, 141305764, 74514401, 49905013, 83719085, 93569390, 3379781, 46963576, 33027000, 27658597, 52133795, 26014536, 14538314, 45328380, 7303748, 74241463, 10654555, 103045746, 6044690, 14648640, 18101865, 43117440, 764685, 33395442, 4081438, 28367226, 23458859, 3148072, 20876282, 192148720, 11128502, 65080746, 41023361, 26179740, 44910532, 55101405, 154794640, 40062528, 62078491, 16528031, 74104424, 34317290, 117500273, 24766906, 45077948, 11053403, 23136344, 58691401, 24085474, 6355826, 73828439, 25901517, 7492623, 20286730, 19222845, 60854711, 5129446, 11549087, 5567090, 8006431, 11632480, 34465906, 22447868, 64410245, 25339270, 94625648, 1543963, 66742508, 43313435, 35164341, 68911876, 53651415, 96419578, 40533344, 13941852, 43893737, 77874438, 14187457, 4758860, 24346444, 51565532, 10094996, 25533915, 85358323, 12121716, 44236451, 49930682, 13252763, 48756787 ], [ 73278332, 40757083, 91521943, 53684186, 136245013, 212982336, 81223123, 10728620, 18831914, 201254129, 151853792, 57464752, 16393119, 11705627, 57273016, 42479857, 105901672, 13663342, 51287163, 27273989, 29984501, 83754180, 42952393, 34088334, 15072477, 47168326, 16674892, 46833787, 85673659, 21147669, 32318278, 30479417, 26409604, 6952233, 9919743, 22598478, 102069837, 67573565, 9985536, 194479144, 12891339, 74514401, 98787651, 116766531, 39598691, 16100526, 46963576, 31136621, 136903932, 48505450, 26014536, 72341909, 45328380, 67955405, 9814807, 37183143, 42397331, 11285548, 43896945, 108112636, 416883383, 43358399, 33395442, 361381416, 155140910, 4770883, 69025775, 409591138, 68308389, 11128502, 3520474, 10755386, 1041650, 121067960, 74549789, 167877967, 142157452, 62078491, 169109617, 14881854, 46873405, 78526349, 24766906, 45077948, 97562462, 23136344, 53035391, 27187777, 165643586, 12504584, 51229552, 7492623, 47854487, 19222845, 62289908, 64893529, 40686868, 43573138, 22583067, 12353703, 191319133, 49186017, 35474998, 19316330, 51603924, 10148911, 98755393, 84919505, 35164341, 17515893, 49793696, 119284172, 17980645, 78027647, 51542876, 77874438, 122363455, 33512734, 88847561, 13953635, 16330325, 33199371, 22947689, 78707398, 75590569, 132466882, 6416480, 45757252 ], [ 24358584, 71886125, 91521943, 27543629, 115659982, 29709941, 78995092, 10728620, 155494247, 16677736, 20600643, 57464752, 34019496, 11705627, 57273016, 16676730, 76141940, 37588023, 51287163, 9705269, 29984501, 83754180, 54507159, 34088334, 31517016, 23987554, 17908736, 46833787, 36979083, 2254684, 90105736, 28672550, 82390790, 6952233, 9919743, 25973640, 35547677, 39448732, 23580742, 109689335, 161630182, 36854248, 98787651, 116766531, 18878474, 10151165, 8899107, 145062040, 212705378, 48505450, 26014536, 87331021, 15119195, 49755262, 98129014, 13802806, 20205071, 134823790, 10605280, 57637243, 22719135, 34615332, 33395442, 48164330, 1624218, 49718442, 69025775, 54019676, 55912177, 11128502, 24161176, 28228757, 1041650, 32623142, 105449809, 234777735, 94950076, 90102240, 58024962, 120776460, 38633454, 78526349, 114091432, 45077948, 7394846, 23136344, 31450107, 27187777, 4808035, 12504584, 51229552, 7492623, 23401976, 19222845, 164864063, 59230041, 149983675, 43573138, 93648340, 63858491, 24868546, 22447868, 22173503, 123262322, 51603924, 10148911, 30097089, 43313435, 35164341, 17515893, 49793696, 18245555, 1250663, 75222315, 51542876, 12788432, 14187457, 9219250, 15875001, 13953635, 7805551, 42620689, 22947689, 6968384, 75590569, 132466882, 6416480, 4643354 ], [ 263114679, 22733343, 91521943, 120922829, 33277103, 7829423, 69589132, 41655514, 4689528, 11008712, 140650043, 74243328, 71615469, 12188205, 36297748, 61074071, 68176256, 16699793, 86689388, 62336961, 29984501, 58919780, 16621108, 34088334, 9238203, 119036813, 16674892, 181026955, 55409964, 14094229, 32318278, 92473079, 9771306, 1422517, 9919743, 31685849, 16030056, 75104556, 54976926, 9951039, 38834535, 46145182, 98787651, 52181735, 132262928, 181581527, 104014806, 25287973, 180306359, 78224680, 26014536, 44936955, 211481240, 52027016, 17366602, 186995780, 55492492, 63124843, 14648640, 1753138, 24941089, 212701954, 32872819, 40661463, 94476067, 43793676, 107754139, 146382436, 66375081, 11128502, 93913472, 5975129, 104330210, 83174504, 260508829, 105761949, 138532575, 11098409, 95255415, 7071017, 46873405, 99339, 23898966, 5961514, 17520731, 23136344, 53035391, 143590005, 36523646, 73828439, 119485024, 7492623, 8702321, 8024934, 97838497, 5229812, 82210070, 15323433, 176201615, 39331384, 99357158, 79870237, 64410245, 72184597, 42045324, 137100047, 45727444, 21855696, 35164341, 10283317, 31533926, 152283894, 8928103, 167048542, 51181958, 71561743, 6278682, 118836435, 39902837, 22717768, 271186117, 67476139, 32205061, 78707398, 228442045, 195395830, 32532054, 119532830 ], [ 24568957, 97085922, 43139594, 3733631, 119583545, 32711496, 81223123, 2963064, 153079691, 16677736, 14047021, 17470031, 89693520, 4386071, 195341985, 14847433, 13730729, 37588023, 21654249, 23242567, 29848094, 46042705, 3337327, 34088334, 34078856, 10326483, 10281903, 45294798, 85673659, 113157274, 146702589, 9444588, 128692242, 98720147, 22427269, 22598478, 48222143, 116325235, 73342311, 32620985, 29972900, 17280545, 84751845, 79753976, 10519182, 55750092, 96597292, 9715512, 17323077, 78224680, 26014536, 49228694, 15119195, 205503769, 31458084, 36514051, 46859553, 6044690, 14648640, 31897130, 64124675, 122731749, 13044876, 48164330, 11910646, 33122512, 69275328, 3498867, 40194446, 11128502, 22704879, 94063515, 31227749, 83174504, 20588532, 77334314, 12596991, 36564773, 76996376, 1081391, 46873405, 99339, 35137064, 45077948, 5486232, 23136344, 43319394, 65261005, 52984891, 73828439, 19068867, 58071525, 38913467, 19222845, 57855576, 5229812, 5674697, 40895103, 114793140, 32328827, 25234297, 5326743, 5744523, 50019746, 48199076, 4696912, 19763267, 134319375, 24452053, 43112665, 31216632, 24708084, 56215271, 4727241, 72242252, 15497663, 11088054, 55223196, 1536601, 46284877, 51505957, 23424037, 17832662, 6968384, 11770568, 79148097, 8438163, 798597 ], [ 24568957, 110676249, 43139594, 30009118, 136245013, 32711496, 81223123, 21421901, 1554397, 256366213, 33741451, 17470031, 25445633, 75666424, 34010677, 193602125, 35635354, 39873603, 21654249, 28941804, 22805599, 66223794, 49257403, 34088334, 194673479, 34974794, 17558543, 20196940, 85673659, 21147669, 42152417, 131261988, 92420806, 27429467, 9919743, 22598478, 1140966, 49181866, 140535386, 33858910, 10069940, 17280545, 98787651, 79753976, 3538355, 110001842, 129744044, 145062040, 79187697, 219995726, 4878365, 87331021, 15119195, 64669121, 17366602, 10654555, 18836180, 22002768, 14648640, 31897130, 66163271, 51481363, 33395442, 48164330, 23802493, 26781706, 9903185, 27079044, 26803841, 9997924, 140177897, 5975129, 27748232, 25040428, 20588532, 51136416, 194068910, 110165629, 95255415, 49279826, 28623770, 35924575, 22123320, 23738202, 48897944, 17838300, 6180455, 143590005, 8502683, 5362144, 75661415, 7492623, 302626678, 19222845, 69429793, 5229812, 3982113, 43573138, 65788143, 19883499, 25234297, 85021603, 11205384, 31086683, 34374270, 47933524, 76795787, 134792681, 35164341, 39156272, 22507947, 24708084, 76098403, 13069568, 39972636, 2273975, 14187457, 118836435, 6556908, 46284877, 51505957, 628627, 15941565, 20476368, 11770568, 66032977, 8438163, 8385885 ], [ 24568957, 13053654, 49126812, 85872254, 23060975, 7829423, 108092179, 24251783, 25044537, 79805230, 151853792, 55136879, 36234584, 25708368, 11986850, 256542786, 35635354, 1261333, 21654249, 59709450, 13205121, 46042705, 21713276, 14779042, 18345311, 34974794, 26468430, 239564206, 4139590, 13576896, 14707262, 53629993, 28190702, 83088573, 22427269, 4211472, 85660278, 90589342, 10896431, 37153598, 48671818, 10259202, 49905013, 6562768, 5700476, 9680138, 46963576, 11190101, 29601988, 89121664, 26014536, 68868506, 57723221, 49755262, 17366602, 10654555, 75648262, 71019915, 3614000, 31897130, 61606123, 156546494, 24636218, 48164330, 16157824, 8767110, 29261525, 96825983, 63046026, 11128502, 134908971, 56077765, 137409740, 17230381, 20588532, 57292505, 1375471, 196508, 4178332, 19249411, 46873405, 11809974, 24766906, 353621, 84817240, 23136344, 43319394, 104721923, 36523646, 42802407, 206981781, 2933573, 23401976, 5219365, 4204918, 5229812, 26063013, 9465671, 44615831, 32328827, 70724561, 1909259, 22173503, 13618800, 26736149, 2904225, 101194773, 79723523, 35164341, 37202694, 168782422, 57446796, 61107429, 13069568, 54283146, 1188818, 14187457, 40859971, 18050038, 7574241, 7805551, 25533915, 142662399, 32326722, 78854301, 83112910, 26316589, 35772956 ], [ 224415304, 97085922, 93516224, 10133382, 132514205, 83387888, 12071386, 2963064, 52628498, 204697655, 151853792, 44898280, 34125339, 13920403, 57273016, 185781885, 452944212, 259509205, 574900702, 54398324, 29848094, 444205204, 37469071, 34088334, 119982054, 25718628, 8359577, 277489499, 74674480, 130659411, 36722849, 70712698, 130629805, 19490018, 9919743, 92034563, 363853877, 743164335, 9985536, 9967627, 51307979, 27596060, 98787651, 29705619, 26152465, 55750092, 71303355, 145062040, 76526466, 212809955, 36817415, 43083782, 151035023, 67955405, 98129014, 364304618, 179471924, 251904208, 35880287, 18101865, 46751276, 51651646, 166247101, 373573202, 90362683, 4770883, 33927200, 42022430, 94420609, 11128502, 54995284, 5975129, 137409740, 12467909, 95551802, 114667303, 40062528, 135770899, 79283957, 220942899, 46873405, 124177424, 65815640, 152145799, 127956508, 23136344, 53035391, 143590005, 44415921, 73828439, 28854300, 7492623, 80374169, 19222845, 264493512, 5229812, 5674697, 43075958, 288416047, 108053240, 2278521, 74187939, 57928532, 15381447, 51135563, 137100047, 12047128, 31765215, 3591392, 94194490, 150925058, 152283894, 17980645, 167048542, 51181958, 77874438, 73161505, 118836435, 39902837, 46284877, 145555448, 24773796, 6464083, 78707398, 97987349, 33481920, 133342827, 158189237 ], [ 55580571, 97085922, 84114688, 10133382, 93465947, 7829423, 115046075, 230690594, 349660469, 65059950, 455857353, 115970893, 71615469, 307610120, 57273016, 27472839, 9235168, 66045625, 91049636, 29461190, 64170910, 29555188, 54507159, 34088334, 199479511, 43176167, 269076395, 2566108, 4139590, 98455822, 110960290, 247786119, 28190702, 27429467, 9919743, 149559773, 85660278, 419869989, 94263588, 109689335, 288342477, 616813488, 69677418, 162172835, 239972320, 72093546, 7166190, 25287973, 18939324, 100418557, 26014536, 86665551, 2031412, 67955405, 6406540, 535052271, 91118555, 194990876, 14648640, 186294807, 144405045, 48287149, 31057006, 48164330, 320230481, 152204219, 18453377, 22631758, 96783721, 212991511, 101377208, 67599041, 252660655, 6787830, 20588532, 51136416, 347403022, 118552855, 95255415, 19249411, 76332171, 19377587, 65815640, 67433929, 97975902, 23136344, 70553871, 143590005, 223189329, 73828439, 416646256, 7492623, 25832841, 19222845, 109335168, 65146730, 5674697, 43184542, 272014843, 148252258, 55018263, 45959361, 9626645, 302532834, 80779588, 2904225, 288511287, 5780250, 3591392, 39156272, 388047142, 152283894, 108892514, 212933282, 162901039, 59177336, 14187457, 9219250, 159841061, 83135938, 203593678, 76350134, 67065931, 168288258, 86005800, 4746681, 54663602, 53692391 ], [ 82816544, 22733343, 69934916, 4208636, 135672190, 44134229, 41532827, 10728620, 47429823, 16677736, 36176865, 61409996, 71615469, 12188205, 57273016, 30405877, 35635354, 110613693, 69181573, 12230160, 29984501, 87179873, 26963250, 68761723, 15072477, 47168326, 17558543, 61359642, 30067257, 12673692, 92691441, 71246059, 124369576, 45271373, 9919743, 22598478, 17644444, 23384493, 23580742, 5414511, 19096358, 8336817, 22970055, 30272902, 132262928, 5564078, 15905892, 159106323, 14335983, 93222198, 26014536, 72386568, 65485288, 67955405, 45390288, 37183143, 69399563, 67240721, 60634491, 1753138, 166240711, 20298290, 32872819, 8991634, 70686643, 10340495, 60930050, 167615967, 90609775, 11128502, 109538670, 5975129, 57736739, 28730007, 7722635, 43596550, 43202526, 3496511, 42791857, 26225179, 46873405, 24786698, 23898966, 45077948, 6313052, 4613699, 53035391, 63061736, 57526820, 57914762, 257379808, 7492623, 20417441, 19222845, 20286424, 103915445, 2009507, 43573138, 136834376, 165188381, 123075091, 20750624, 64410245, 36786239, 34374270, 26796984, 28797117, 141230409, 22061069, 27070144, 116958916, 21710698, 43620320, 126461203, 19785035, 69950205, 20978695, 29735987, 6556908, 46284877, 52757360, 67476139, 37426293, 12797032, 125980048, 45228415, 13486249, 16126660 ], [ 6925873, 72891720, 84114688, 10955277, 53044868, 7829423, 76975234, 10728620, 45700047, 16677736, 33741451, 15642840, 84520594, 39175709, 147782651, 56713118, 7619152, 10053466, 7011872, 15163429, 63525171, 46042705, 54507159, 34088334, 15072477, 43176167, 70439458, 35306425, 23647385, 18419991, 33422527, 30479417, 30480996, 19490018, 57270658, 90299454, 21817923, 34654618, 23580742, 54729304, 73894573, 16703260, 28145502, 17925071, 39853586, 805855, 22487531, 33027000, 26109682, 29665732, 27794976, 35578335, 46898099, 109565665, 15982838, 89522733, 105272650, 8221730, 14648640, 99788052, 189633625, 91164240, 91794811, 48164330, 758187, 110920637, 75071025, 90278062, 94420609, 11128502, 3837077, 122671489, 2585693, 12467909, 20588532, 116247650, 20142475, 62078491, 95255415, 26225179, 45404420, 10158467, 24766906, 45077948, 8841244, 6818953, 53035391, 63061736, 31459281, 73828439, 28854300, 72906635, 47854487, 19222845, 7086502, 7309488, 9904138, 43573138, 202141736, 30702354, 36015303, 79870237, 21893811, 21796632, 47799517, 10140614, 101086328, 117582069, 35164341, 98398162, 14870913, 18245555, 34900327, 3457816, 88138403, 9524705, 14187457, 118836435, 143784266, 10524672, 139387933, 46104977, 6464083, 12797032, 74621554, 6207890, 39011870, 20569385 ], [ 24568957, 13262061, 91521943, 52262630, 96333112, 7829423, 81223123, 24077093, 41122268, 16677736, 22697464, 10809962, 1954083, 97544519, 57273016, 41574475, 31775098, 69607594, 93732676, 28941804, 29984501, 46042705, 48133062, 34088334, 32404941, 47168326, 1271261, 75995835, 4139590, 18419991, 56874796, 9423297, 130629805, 86439671, 7156520, 75232070, 11146641, 50352180, 240537181, 194479144, 78523311, 21288678, 73788076, 17925071, 16651167, 12335862, 46963576, 145062040, 232125192, 85786520, 26014536, 49228694, 45328380, 66107608, 17366602, 86751626, 107832807, 120102322, 14648640, 17090967, 21144964, 163341622, 33395442, 26912516, 116251828, 108605698, 90060050, 57702952, 111536318, 11128502, 22704879, 605505, 43998752, 60270550, 46777798, 51136416, 687837, 88154796, 95255415, 19249411, 46873405, 32923482, 24766906, 6362987, 81340635, 23136344, 53035391, 40224235, 10526149, 20315466, 119485024, 133886100, 112610509, 19222845, 97838497, 5232805, 113461032, 14586481, 3814559, 32328827, 25234297, 79870237, 21376519, 123262322, 71881091, 10148911, 180078077, 141103902, 131324753, 27680244, 31533926, 202764009, 185794407, 36216092, 144199753, 77874438, 14187457, 118836435, 146705618, 46284877, 139387933, 67476139, 17832662, 12797032, 225656921, 51706520, 54663602, 82956888 ], [ 21192448, 91160147, 160582875, 83435634, 136245013, 32711496, 79816287, 91400823, 309078551, 160907116, 16760090, 74243328, 71615469, 176564001, 138006616, 127406295, 95547760, 19446421, 51287163, 100515440, 12504639, 66223794, 54507159, 34088334, 32404941, 117016792, 19827746, 216134968, 4139590, 8353792, 51374058, 125103410, 130629805, 86439671, 9919743, 26426515, 78427061, 206894540, 77870410, 62416555, 161630182, 110685643, 98787651, 35547667, 39853586, 181581527, 16984205, 5528881, 153289754, 85786520, 40126071, 23530160, 45328380, 7303748, 98129014, 10654555, 75770217, 6044690, 139237568, 279690392, 296043965, 12344388, 69874276, 129141680, 28367226, 112124520, 177059751, 12512447, 202047605, 11128502, 71141675, 5975129, 2585693, 30083192, 33384915, 96141043, 194068910, 196629612, 48668953, 19249411, 70737589, 319267067, 49073427, 67043916, 94149337, 23136344, 17360323, 24085474, 12238417, 82618993, 143253717, 7492623, 131013847, 19222845, 15727200, 5229812, 5674697, 43573138, 294308829, 118259672, 25234297, 79870237, 26617542, 28666453, 100700472, 1543963, 146392488, 16737181, 10524697, 94194490, 31533926, 18245555, 93898343, 2911632, 51181958, 62599270, 63583366, 9219250, 39902837, 83135938, 139373718, 67476139, 69283290, 78707398, 44236451, 135596535, 28762209, 18006075 ], [ 82816544, 97085922, 91521943, 259618600, 97731432, 7829423, 81223123, 130453420, 47429823, 16677736, 151853792, 17470031, 8799657, 75666424, 57273016, 256542786, 98507634, 148363555, 22798533, 105824323, 29984501, 118009155, 15384530, 81272453, 22763895, 46559750, 182050567, 46274253, 36979083, 9811063, 90105736, 108535708, 130629805, 67566909, 9919743, 22598478, 1495963, 90589342, 16569881, 84901936, 85422202, 115658817, 90763939, 100148259, 1994469, 109770227, 46963576, 159106323, 4656625, 84105375, 26014536, 27494012, 7616297, 67955405, 17366602, 13802806, 179471924, 7865970, 14648640, 15418733, 64124675, 113268227, 33395442, 48164330, 47388679, 23458859, 24234743, 20876282, 113223821, 11128502, 116179956, 5975129, 26179740, 156829110, 55101405, 33677359, 142157452, 55451337, 34786737, 74104424, 45404420, 28158998, 24766906, 176720536, 5486232, 23974405, 139407442, 65261005, 178207995, 73828439, 103900077, 7492623, 33739783, 94201388, 97838497, 177986462, 10287883, 43573138, 8006431, 81208466, 66315233, 22447868, 64410245, 88710090, 63287673, 67723193, 26425554, 124192456, 20285806, 81377413, 29337334, 75045937, 108892514, 30945225, 42713889, 77874438, 14187457, 35364549, 24346444, 39727414, 40479672, 142354075, 85358323, 35781802, 77586744, 39197437, 237049304, 158189237 ], [ 12732776, 13262061, 57791115, 15391990, 12104981, 7829423, 15454074, 83687780, 89195053, 16677736, 5057352, 13214117, 34125339, 20769895, 57273016, 10794703, 7619152, 21387342, 44502107, 12230160, 29984501, 15266729, 15384530, 30265834, 15072477, 3571107, 17558543, 29432266, 4139590, 8353792, 33422527, 4131998, 50975801, 19490018, 9919743, 22598478, 48222143, 181438073, 39196081, 36700884, 58475299, 23316974, 88954935, 105597530, 5308609, 171907556, 18263058, 24306912, 51647365, 39964883, 13546661, 72386568, 90500402, 44314912, 84521005, 13802806, 26550940, 6044690, 35880287, 50332865, 64124675, 24647788, 33395442, 54363605, 758187, 65121078, 6888789, 6025281, 16242110, 11128502, 3837077, 104722467, 26179740, 12467909, 7370351, 21353698, 1375471, 31134821, 19353368, 19249411, 46873405, 7369407, 84892677, 1915275, 37309854, 23136344, 53035391, 52364389, 34164230, 15465939, 25901517, 7492623, 46605346, 19222845, 178323671, 62454713, 10287883, 2380324, 86719290, 31805665, 25234297, 22447868, 37162242, 25339270, 63229648, 26796984, 7125825, 28805801, 24606677, 10655704, 14870913, 21710698, 6871394, 15844133, 40708376, 7398281, 34783453, 9219250, 13259227, 7755034, 32182005, 36431657, 4000571, 12797032, 7940278, 15123677, 28762209, 20795764 ], [ 133767379, 22529708, 113505080, 217515711, 136245013, 171407604, 101609802, 315969607, 153079691, 87794445, 151853792, 74243328, 219194791, 307610120, 212460101, 158902529, 109549644, 342717565, 46959627, 28941804, 48757041, 207924104, 48133062, 50757332, 93931479, 253236789, 349706795, 75995835, 23909840, 489068807, 216228118, 73081062, 266716304, 370407950, 126871329, 534788420, 15948992, 1060059621, 131021875, 143290433, 287535922, 212265643, 262836346, 124972417, 251836186, 181581527, 466480183, 151197979, 180306359, 243276929, 422872860, 105897968, 376727136, 43853993, 46953163, 15386918, 179471924, 472332237, 14648640, 656664915, 324196252, 54183358, 228550736, 47980771, 50082764, 8767110, 241739040, 581511329, 184576575, 11128502, 22704879, 5975129, 17611004, 97804503, 20588532, 854268345, 852448031, 8319919, 36187991, 263965319, 276712161, 816498156, 105240896, 26791723, 20846808, 20754028, 19406483, 143590005, 223189329, 317488727, 207822577, 430667385, 310659388, 293230573, 264493512, 168653519, 735420074, 43573138, 666827554, 41517649, 621990243, 88356753, 64410245, 207540529, 549080151, 36643396, 47583747, 291330493, 35164341, 280876618, 364340403, 201298714, 274785126, 167048542, 51181958, 77874438, 14187457, 620394851, 711511944, 235002825, 51613150, 76350134, 848542716, 545852, 349853773, 49757387, 233926784, 158189237 ], [ 246961640, 26173678, 91521943, 15391990, 14632273, 121432801, 81223123, 65416525, 47429823, 56281284, 3974000, 55136879, 12314644, 4386071, 102034964, 130913996, 11284383, 37588023, 44708668, 138673085, 8048060, 201993571, 54507159, 34088334, 8151623, 39242237, 16674892, 41232461, 36979083, 9811063, 32318278, 164587045, 29503926, 84314686, 9919743, 107832548, 85660278, 55932628, 194311396, 66927954, 26319446, 23316974, 49905013, 124972417, 85571444, 10892048, 46963576, 46863273, 14252704, 85786520, 26014536, 15202706, 12789386, 197148661, 30731264, 13802806, 18011977, 57345974, 11163758, 79440296, 78548461, 101340059, 5878601, 101531792, 2663878, 112118871, 84773253, 59124870, 50326426, 11128502, 65080746, 104722467, 24340824, 49039324, 20588532, 109085950, 142157452, 24505773, 135788007, 108979105, 245613291, 156045941, 24766906, 152145799, 75852891, 23136344, 39753943, 143590005, 135507893, 10295887, 74789970, 2337171, 170575126, 19222845, 108615940, 5229812, 153710891, 43573138, 90592787, 47319598, 190656526, 22447868, 52840328, 99393688, 3452385, 170071287, 148065496, 140182607, 35164341, 14671956, 31533926, 152283894, 108892514, 155655949, 240354627, 31131358, 123359600, 82998565, 24346444, 5629352, 34304326, 44273980, 87110961, 6968384, 104069106, 44785241, 7575934, 28065859 ], [ 133767379, 28640864, 113505080, 200514174, 67948857, 7829423, 111379013, 201715422, 79206608, 52295371, 151853792, 74243328, 2879635, 207228724, 228818974, 39070086, 457272508, 74099223, 137064625, 56392526, 48757041, 66223794, 54507159, 3483270, 74844343, 539955356, 10138301, 75995835, 152863562, 306351535, 36342808, 82681836, 85534532, 268499593, 9919743, 217827838, 61522840, 125462609, 143721966, 78753179, 160144602, 48527601, 15001969, 124972417, 152366056, 70364651, 27580030, 5528881, 87561498, 99117815, 575944970, 104915261, 4351084, 109565665, 98129014, 346852940, 120114555, 8221730, 14648640, 207651094, 187412519, 97305873, 166247101, 48164330, 274530772, 6446627, 37979439, 442577222, 120201627, 11128502, 22704879, 5975129, 43998752, 118429636, 3585485, 116247650, 194068910, 182438260, 30284243, 6884648, 45404420, 10158467, 296710329, 76443852, 3623261, 23136344, 27109615, 143590005, 48669013, 128639937, 32690641, 7492623, 11069810, 256495674, 264493512, 59706112, 62058692, 43573138, 143560906, 241200405, 25234297, 27445024, 64410245, 28666453, 164673117, 36643396, 74491039, 57823090, 35164341, 354440483, 90875222, 83635721, 28022757, 42449850, 51181958, 77874438, 14187457, 53582699, 75954836, 46284877, 91769704, 76350134, 34059040, 78707398, 275745585, 22005357, 133342827, 158189237 ], [ 138896749, 97085922, 60354414, 170440949, 136245013, 498639856, 56607342, 158286768, 17368059, 90094578, 136486186, 12897912, 268985739, 308190498, 7379601, 71167525, 291415130, 29437317, 135377639, 1044762271, 124590288, 529249463, 54507159, 34088334, 93047836, 190975031, 236527341, 325076428, 101942445, 166812091, 182484876, 423227159, 112159457, 474382826, 566807461, 34571402, 363853877, 16217117, 82956858, 345809269, 69400331, 179412509, 55187769, 597347608, 581202088, 181581527, 77812625, 126250567, 89261922, 41380616, 195036129, 8049892, 179053875, 81020660, 17366602, 26181809, 179471924, 49122919, 616263074, 15659086, 137469791, 103680167, 160129628, 42993293, 450767686, 42677988, 107754139, 3446680, 223217071, 61253435, 47738403, 590533737, 73522015, 272079305, 274679480, 10830923, 84094160, 640097731, 146948309, 205453014, 334235957, 180617129, 753140622, 133862971, 504389341, 23136344, 134580896, 143590005, 30838529, 146610478, 399090091, 510494601, 174739377, 132389174, 60854711, 5229812, 76613796, 43573138, 24143532, 22205311, 70544793, 564717371, 184477894, 327691352, 265958825, 246766272, 160122026, 145603465, 35164341, 94194490, 27387646, 246528365, 147727072, 71997026, 19522799, 53110477, 123359600, 108381644, 39902837, 157280871, 284006114, 229862691, 147319010, 78707398, 62547840, 499851953, 427169284, 122000319 ], [ 42188445, 25627318, 91521943, 21878543, 1773737, 7829423, 182108133, 89715718, 11338106, 65059950, 42948970, 47624257, 71615469, 1441478, 74070013, 86092540, 35635354, 29437317, 51287163, 29461190, 48046939, 100524078, 54507159, 34088334, 11501625, 23604150, 41356795, 46680279, 4139590, 9811063, 40106037, 72712284, 8356432, 91141172, 9919743, 34571402, 38025709, 904925, 23174927, 88624977, 35463597, 29663867, 49905013, 1795485, 11325581, 166087820, 46963576, 11190101, 39855990, 1649118, 2550892, 8049892, 3002864, 21139736, 74241463, 13802806, 174322555, 6045037, 14648640, 133788433, 6554116, 39270505, 74230988, 7525681, 100562508, 23458859, 131606927, 403912, 50568960, 11128502, 19293698, 6038789, 26179740, 19298256, 61216899, 111561929, 65031999, 61500810, 44841138, 12573529, 250766, 19377587, 24766906, 59312652, 25004317, 23136344, 35835147, 34969278, 16318277, 73828439, 1606808, 7492623, 112610509, 19222845, 7152899, 5229812, 33930366, 36397129, 45110421, 81208466, 70544793, 22447868, 64410245, 46975680, 18629613, 2904225, 46418481, 79158591, 56044886, 17394238, 60730445, 78394312, 102819680, 169587478, 19522799, 8746530, 14187457, 49855642, 24346444, 6473531, 3737873, 13411383, 35587235, 39389127, 78854301, 1832243, 54663602, 8385885 ], [ 115515769, 22529708, 91521943, 39837344, 91404504, 7829423, 78389535, 10882454, 62136035, 14650532, 23414985, 37792616, 71615469, 53508936, 71027825, 58384851, 98507634, 7714487, 14248063, 25067792, 155369916, 32527896, 54507159, 34088334, 35039571, 455495, 165771732, 25626797, 4139590, 9811063, 108115314, 30479417, 4451584, 87555067, 9919743, 22598478, 85660278, 11986853, 53354759, 169163684, 35463597, 124550739, 64567470, 124972417, 141293504, 28401917, 93413578, 37415605, 43767381, 85786520, 4981553, 38680821, 95117959, 21139736, 4003254, 13802806, 179471924, 70360735, 14648640, 73389686, 37021976, 103680167, 36634063, 7525681, 189214701, 102163540, 131606927, 12630352, 23333317, 11128502, 27213168, 37658259, 26179740, 60270550, 20588532, 116247650, 181071008, 71500726, 59382631, 13312933, 70737589, 39447488, 48386384, 47497483, 32908317, 23136344, 11496746, 33648237, 173531644, 73828439, 62030684, 7492623, 18358357, 19222845, 92356686, 5232805, 9904138, 43573138, 2697084, 15635476, 35783437, 6227883, 64410245, 42464866, 72897046, 125456359, 23426464, 23450023, 35164341, 38149455, 31533926, 57126510, 87365219, 84615191, 149147170, 77874438, 14187457, 115339537, 19888394, 51565532, 51613150, 13411383, 74664934, 4241466, 113887119, 49757387, 54663602, 20795764 ], [ 113889579, 11526341, 14696571, 52262630, 25910147, 49924298, 32276561, 3037116, 11338106, 71013518, 113676214, 74243328, 71615469, 171478887, 145893148, 207055169, 35635354, 10053466, 165745813, 34658389, 29984501, 143362894, 54507159, 27832087, 79409986, 12300080, 104162020, 8874972, 4139590, 21147669, 39537873, 72608530, 92420806, 81020972, 9919743, 107832548, 66556052, 15739239, 58347541, 109689335, 36683293, 7320297, 98787651, 124972417, 115079014, 10151165, 46963576, 5528881, 7675613, 3728851, 26014536, 72386568, 80065741, 49755262, 17366602, 86751626, 38672241, 120102322, 165347182, 17090967, 52061431, 826623, 33395442, 74046888, 42556680, 139221672, 85787659, 19225919, 158975681, 11128502, 127216809, 37658259, 119563925, 60270550, 105449809, 117797410, 142157452, 4827240, 111534856, 19249411, 23800554, 22858529, 24766906, 39914296, 136923038, 23136344, 42129310, 123230052, 1870338, 73828439, 26169604, 7492623, 8702321, 19222845, 97838497, 5229812, 5674697, 13407187, 110766261, 35352350, 44108163, 36104330, 22173503, 17649341, 18629613, 4900151, 109971270, 43313435, 39135251, 45082096, 66279234, 70875298, 63059552, 181802095, 53581850, 71561743, 123359600, 9219250, 39902837, 34438843, 7805551, 175745198, 93658121, 210475556, 181496397, 114429649, 33579362, 8385885 ], [ 40147486, 86128124, 91521943, 157120283, 136245013, 7829423, 122235588, 34842381, 11338106, 198630900, 150685462, 69354034, 71615469, 69439694, 57273016, 199713787, 35635354, 102060070, 136410397, 91072366, 97304613, 32090228, 46797033, 34088334, 30341492, 47168326, 141286325, 19528142, 34774265, 21147669, 182484876, 30479417, 33588870, 203108116, 9919743, 19378451, 140274632, 88017464, 65946066, 40607025, 36683293, 53734592, 94526794, 23365990, 45483235, 8738751, 46963576, 33027000, 84387194, 24941625, 26014536, 36602426, 95475318, 21139736, 74241463, 18268055, 45905306, 66324518, 68601867, 218819939, 19315989, 42045524, 166247101, 36769191, 2663878, 152204219, 77986125, 18481749, 80184798, 11128502, 47738403, 134418637, 39876951, 67507534, 46200503, 24883461, 127522237, 62078491, 19353368, 89668783, 5989126, 180617129, 24766906, 72748715, 132605470, 4804257, 21511994, 143590005, 85715657, 73828439, 119485024, 7492623, 47854487, 19222845, 62289908, 5232805, 26063013, 43573138, 163430255, 34401533, 30869059, 79870237, 64410245, 17649341, 51408379, 136739244, 77177965, 9496151, 25610336, 39156272, 26152720, 151032016, 3314149, 132767123, 53581850, 37966319, 90797639, 9219250, 162226585, 94962878, 32182005, 54314133, 16028877, 62165673, 111288290, 27675410, 57156642, 8385885 ], [ 50637019, 97085922, 12062635, 2009822, 136245013, 7829423, 108092179, 130453420, 63119796, 16677736, 65626160, 5642071, 21144305, 31786303, 95616906, 57395813, 35635354, 184519367, 2576077, 58880057, 69861726, 7191698, 16621108, 34088334, 150544418, 14333209, 148970342, 61702296, 16651970, 9811063, 182484876, 88501249, 6963277, 1422517, 9919743, 53328888, 13221750, 72389127, 43898541, 2170826, 156262715, 35850222, 98787651, 48152615, 3325827, 181581527, 460681095, 16433620, 139529969, 52096546, 250641962, 87331021, 97497268, 390683158, 3646078, 13802806, 70792158, 234877512, 14648640, 21392781, 69287274, 1908287, 69874276, 20865170, 189214701, 21279826, 131606927, 190255773, 79537778, 893502, 113677391, 104722467, 10258276, 74703155, 315452521, 64300191, 206749202, 120784917, 95255415, 37870575, 75924667, 46179394, 66149631, 122887002, 228060825, 23136344, 9650165, 143590005, 74453127, 15465939, 7903880, 7492623, 9277716, 19222845, 21563954, 439243306, 9206586, 33673721, 183562383, 37396619, 54551988, 11029760, 164107112, 40609806, 81606899, 104883979, 7125825, 238510339, 180127040, 61325488, 24390835, 20229549, 108892514, 121173633, 303024978, 77874438, 14187457, 233014305, 24346444, 9811210, 30099983, 67476139, 37426293, 35781802, 77755570, 120708607, 141850182, 19021692 ], [ 26167352, 97085922, 27156500, 233594515, 125013236, 7829423, 81223123, 126540515, 47429823, 77985592, 151853792, 55136879, 71615469, 127615403, 57273016, 63008251, 35635354, 148363555, 279846846, 12230160, 29984501, 32090228, 54507159, 34088334, 227976240, 47168326, 16674892, 31043805, 4139590, 21147669, 32318278, 38606700, 103851167, 177780787, 9919743, 100200947, 56163086, 90589342, 41352778, 109689335, 36683293, 105500229, 49905013, 77436961, 39853586, 181581527, 46963576, 145062040, 84387194, 56346379, 26014536, 35578335, 81038106, 67955405, 74241463, 20838553, 45905306, 71019915, 25272896, 108112636, 416883383, 163526627, 33395442, 173936168, 46793748, 152204219, 131606927, 126646378, 57035622, 11128502, 93913472, 134418637, 2585693, 60270550, 239013120, 116247650, 142157452, 213936919, 22048611, 19249411, 6512458, 46523739, 24766906, 183263655, 57430810, 23136344, 19628081, 123118066, 243904434, 73828439, 92229190, 7492623, 53375586, 19222845, 86955415, 70606203, 26063013, 43573138, 213428215, 57612447, 138193814, 79870237, 18592239, 114835017, 79147676, 58838564, 1311736, 18029310, 20342060, 170075653, 26152720, 18245555, 3314149, 75222315, 53581850, 9524705, 123359600, 9219250, 1588375, 12625905, 47528981, 67476139, 42386113, 39389127, 167879071, 83112910, 54663602, 158189237 ], [ 133872095, 97085922, 91521943, 66718259, 64758309, 7829423, 5481880, 126781789, 11338106, 111941412, 96043549, 17092852, 8799657, 86837586, 57273016, 123180229, 18518610, 1320109, 151600004, 57593823, 19570313, 212107351, 54507159, 27454299, 8151623, 35474162, 49421329, 8874972, 4139590, 21147669, 216228118, 17945446, 92420806, 19490018, 9919743, 79557230, 49746869, 16157705, 3477864, 49588790, 11142073, 124550739, 98787651, 124972417, 114862012, 28439149, 53039174, 36292908, 34932760, 56346379, 11269533, 87331021, 12789386, 52772735, 2738498, 123894405, 109339373, 6045037, 11163758, 218819939, 220559772, 163526627, 105140044, 7969807, 202261680, 125194694, 6272103, 11729070, 50326426, 8937545, 81048222, 147157898, 38879693, 12467909, 46200503, 32009593, 164224496, 71500726, 19353368, 19249411, 14601617, 22037748, 17258587, 10467512, 23026135, 196959915, 122076125, 143590005, 94042713, 73204814, 28854300, 7492623, 112610509, 19222845, 138073212, 88499034, 9904138, 43573138, 120942694, 14989155, 144108904, 79870237, 64410245, 239834491, 56046697, 150049881, 130552723, 93866529, 35164341, 48503409, 8198026, 42917211, 1957091, 31420260, 81716102, 77874438, 142519476, 135279616, 19888394, 83135938, 32182005, 67476139, 6464083, 39389127, 152555757, 160373778, 54663602, 8385885 ], [ 177337178, 39155588, 27156500, 27543629, 136245013, 19122126, 29738778, 178420987, 130594441, 208897300, 150685462, 49874935, 13372239, 287033075, 33521235, 71614902, 35635354, 148363555, 40700961, 67435443, 14547668, 32090228, 54507159, 34088334, 7184443, 117346981, 140282591, 90002153, 25166412, 21147669, 14296465, 30479417, 130629805, 19490018, 12399126, 100200947, 100231342, 99532631, 105263019, 10679662, 36683293, 77154677, 12920141, 124972417, 239972320, 70303000, 13366252, 145062040, 212705378, 56346379, 26014536, 72386568, 111175371, 52772735, 2738498, 108521846, 69399563, 6045037, 37915917, 85967173, 32002949, 35379752, 43873508, 7969807, 112716301, 112423991, 109768488, 3934247, 94420609, 11128502, 68494686, 287495635, 73522015, 11856924, 21543984, 94579031, 162094443, 31532024, 52479638, 26225179, 72730439, 213603763, 53163448, 23507974, 7835358, 23136344, 31450107, 143590005, 55922748, 18304533, 28854300, 290430335, 78426205, 3492989, 24516914, 5229812, 35003869, 26937902, 3522355, 170678808, 126783323, 79870237, 64410245, 239834491, 165357810, 16293796, 34589081, 18029310, 96387823, 41018212, 26152720, 57043443, 3314149, 31420260, 53581850, 56581478, 123359600, 134744943, 39902837, 74270278, 67511127, 67476139, 6464083, 39389127, 282300475, 72724469, 39011870, 41313697 ], [ 26167352, 97085922, 14696571, 49800233, 55136814, 7829423, 81223123, 197014929, 47429823, 122086157, 65626160, 55136879, 6087562, 176084343, 220839074, 21736456, 8477871, 60041028, 174049771, 131129715, 29984501, 194393506, 54507159, 92954559, 93747392, 14333209, 9823384, 31043805, 4139590, 21147669, 142215170, 3749640, 103851167, 105933932, 9919743, 15893949, 52868871, 72389127, 42349679, 194479144, 36683293, 124550739, 98787651, 124972417, 141293504, 181581527, 46963576, 29144519, 7675613, 31194521, 669973, 77166353, 157631804, 13392175, 28204952, 154345692, 75770217, 164215030, 287277841, 252349795, 64546598, 1908287, 33395442, 317560233, 394212874, 108236392, 43569204, 12512447, 385716656, 11128502, 98092104, 35693120, 104330210, 44595354, 33384915, 116247650, 142157452, 313359370, 48133160, 19249411, 25036073, 120609342, 24766906, 140116245, 21724060, 35296671, 72590081, 143590005, 114632091, 61709795, 6803013, 7492623, 53375586, 19222845, 15727200, 5232805, 29930575, 25969571, 264882149, 106263741, 39096807, 218835269, 64410245, 55791014, 81606899, 5937249, 146392488, 21571738, 35164341, 43897719, 25447622, 5221135, 1153379, 143204687, 53581850, 31968809, 62268112, 378684686, 162226585, 83135938, 22055757, 39880734, 10957879, 12809441, 136348263, 58157983, 11884234, 81159617 ], [ 28735205, 97085922, 91521943, 157120283, 136245013, 7829423, 188805647, 281574122, 47429823, 148509171, 33741451, 98043586, 71615469, 207228724, 145893148, 41574475, 35635354, 75797835, 33323390, 138673085, 69861726, 46042705, 54507159, 111517067, 275594587, 47168326, 1271261, 35639931, 85673659, 21147669, 36342808, 2868832, 130629805, 18304232, 9919743, 180270267, 66556052, 189744084, 480498498, 182291574, 100898713, 27436033, 4104875, 119808542, 164328121, 10914927, 46963576, 28538266, 217533074, 113917670, 26014536, 57822883, 28551907, 109565665, 39497892, 164149143, 179471924, 6044690, 412715695, 63683115, 135672687, 75543237, 97407199, 50373652, 28367226, 152204219, 90060050, 126646378, 197145086, 36268862, 201462435, 398042970, 366614949, 114572096, 8301896, 69148059, 687837, 186098575, 9715890, 108979105, 14601617, 10158467, 24766906, 96176330, 228060825, 3362640, 192082432, 143590005, 52984891, 82618993, 66873785, 7492623, 327373480, 19222845, 157567275, 165470138, 47946239, 43573138, 81017786, 32328827, 86132698, 79870237, 67358953, 43781676, 165357810, 145956327, 160122026, 291330493, 35164341, 32906236, 66279234, 149757801, 27328226, 113194287, 54283146, 13721683, 64456563, 190051061, 12086714, 94962878, 74399962, 67476139, 142662399, 78707398, 167879071, 185018623, 193648094, 179878823 ], [ 37310167, 97085922, 16012656, 97642906, 136245013, 7829423, 41440627, 106802743, 47429823, 7538586, 83852700, 11122812, 45110786, 157304552, 4724026, 42286843, 35635354, 48905963, 55858547, 15412135, 1887686, 46042705, 54507159, 30265834, 39045292, 23127830, 76183593, 46274253, 36979083, 9811063, 11870285, 70712698, 57992471, 19490018, 13776177, 29797004, 63096266, 15739239, 32765113, 23925008, 8865407, 23347262, 69960608, 1120881, 40028627, 10914927, 46963576, 28538266, 136518156, 10322221, 26014536, 10030682, 87673562, 23797980, 25644581, 13802806, 41860112, 9884510, 14648640, 59865444, 39023430, 14572170, 31526826, 17215145, 42556680, 8767110, 2235822, 20876282, 94420609, 11128502, 62886761, 20913728, 26179740, 12467909, 13808452, 116247650, 1375471, 90102240, 17731912, 21767430, 1937790, 175730700, 6244249, 77888265, 71345950, 23136344, 42278587, 5436152, 52984891, 73828439, 15059728, 13295999, 49577847, 425153, 74556374, 5229812, 88012832, 43573138, 26411500, 32328827, 369507917, 22447868, 64410245, 11096286, 25781191, 117070007, 15897088, 7617984, 20953012, 20602581, 57686697, 18668880, 34900327, 113194287, 53581850, 13721683, 14187457, 55223196, 5548202, 14041590, 19326239, 20750769, 6464083, 30294394, 30144140, 82219371, 2173322, 1443833 ], [ 19594632, 73957937, 36922966, 22543064, 68101723, 7829423, 81223123, 183557760, 11338106, 43240855, 65626160, 343617, 8799657, 53508936, 57273016, 12983464, 7520298, 44778422, 162383616, 72920881, 29984501, 41601143, 54507159, 34088334, 22205311, 14333209, 132034740, 31043805, 4139590, 21147669, 111465513, 30479417, 92420806, 19490018, 194043116, 107832548, 85660278, 13555557, 41352778, 5535505, 28935626, 124550739, 83468921, 4765507, 7150152, 181581527, 46963576, 52133253, 7675613, 58812563, 669973, 28370071, 45328380, 67955405, 74241463, 18268055, 1974420, 7865970, 2836479, 16694518, 64474081, 1908287, 33395442, 15008321, 21223115, 94824604, 50324902, 20876282, 94420609, 11128502, 140177897, 37658259, 104330210, 12467909, 20588532, 10830923, 15803421, 71500726, 95255415, 19249411, 10127722, 74732900, 24766906, 46075800, 78090526, 23136344, 12729630, 34969278, 36523646, 73828439, 28854300, 14424005, 18358357, 94201388, 55547071, 5229812, 9904138, 2510940, 130495905, 24324072, 128594277, 20441678, 48659214, 238108826, 2199822, 10148911, 34359598, 63785001, 39135251, 45082096, 31533926, 119032628, 34900327, 100859793, 53581850, 54020692, 14187457, 195111747, 39902837, 22717768, 271186117, 76350134, 6464083, 76733489, 171857446, 93911465, 54663602, 8385885 ], [ 133767379, 97085922, 9024081, 80487212, 136245013, 7829423, 245853059, 20816915, 137443746, 22953971, 239631175, 74243328, 36188612, 145796841, 110703301, 200324416, 94204341, 10648837, 190945385, 19344876, 48757041, 4688861, 54507159, 21110622, 31098762, 43176167, 10138301, 11406184, 36979083, 9811063, 182484876, 202654045, 68701830, 86755083, 9919743, 171320336, 277657016, 397428345, 143721966, 101321538, 172588415, 39668587, 34362516, 93323456, 239972320, 72681927, 90365535, 5528881, 60233218, 113917670, 26014536, 38680821, 246096465, 35867274, 98129014, 13802806, 3093796, 308416947, 14648640, 294779666, 292316068, 163526627, 166247101, 48164330, 25872681, 18531951, 21391944, 131200172, 36603489, 11128502, 10096241, 126197054, 26179740, 184275613, 1739760, 116247650, 380171086, 4232416, 95255415, 164554662, 110618098, 176068714, 93224471, 24220584, 32908317, 23136344, 43086049, 63149308, 33180175, 11486061, 99140986, 7492623, 445591757, 19222845, 202585229, 393933090, 56774678, 43573138, 216998808, 9350717, 118121765, 21652292, 64410245, 33373381, 106138455, 36643396, 146616987, 316671558, 363780044, 8488518, 105040628, 83635721, 108892514, 113194287, 237297449, 77874438, 14187457, 119569578, 24346444, 94962878, 105648214, 151055679, 105567603, 4241466, 212983826, 152491526, 275393697, 59881781 ], [ 26167352, 73957937, 29668732, 19976842, 29721264, 52328304, 55282321, 22328722, 11338106, 155937127, 114984780, 15805103, 8799657, 19178454, 51553314, 118994575, 98507634, 58008113, 7011872, 73174022, 29984501, 2888989, 16969607, 16439853, 21710163, 4086095, 58205030, 2566108, 36979083, 9811063, 81379617, 71246059, 92420806, 20472587, 9919743, 4269090, 56163086, 90589342, 117340399, 29096504, 36683293, 2829615, 98787651, 124972417, 7150152, 10914927, 23580215, 28538266, 14335983, 113917670, 24144608, 5647933, 98355276, 17891465, 2121964, 13802806, 21644280, 7865970, 14648640, 62850300, 10098227, 66901230, 33395442, 48164330, 18499499, 34035772, 131606927, 313465, 114870372, 8937545, 78165291, 27231909, 4760458, 65677577, 36215269, 57952076, 110310418, 46560242, 19353368, 14881854, 135013798, 33612121, 24766906, 17277866, 25914649, 7244825, 3632414, 21658095, 47087107, 19593982, 66873785, 7492623, 53375586, 19222845, 20286424, 5229812, 66265065, 21550110, 8006431, 22455383, 30132042, 20750624, 48659214, 33485543, 51408379, 24886289, 1030147, 43313435, 74129542, 914881, 62345459, 19797370, 34900327, 75181303, 24842932, 13721683, 14187457, 9219250, 9637995, 10524672, 32182005, 50404181, 215891480, 14452983, 54032629, 107036423, 4877026, 8385885 ], [ 24568957, 13342962, 16147326, 32284856, 64787277, 7829423, 78389535, 4874288, 47429823, 16677736, 22697464, 38739278, 16948464, 13949632, 21782740, 42286843, 35635354, 30826342, 21177271, 1967362, 7083997, 17955149, 7097485, 34088334, 21710163, 47168326, 1423423, 19528142, 20442228, 9811063, 32318278, 19256234, 77909858, 120120523, 9919743, 4269090, 37051278, 39176279, 32765113, 14931613, 36683293, 27436033, 17055804, 24447404, 1351015, 8935, 3890878, 5528881, 113377184, 91854571, 6940827, 4849524, 46999434, 4410400, 115547, 13802806, 17918723, 19318089, 18572476, 45277426, 18475382, 39485907, 3104959, 99236874, 18499499, 51694005, 110304335, 20876282, 26803841, 11128502, 1077609, 30585461, 26179740, 1839938, 99003984, 95595009, 87293229, 52580062, 2203688, 7071017, 82797508, 99339, 24766906, 25887271, 5486232, 23136344, 3632414, 143590005, 2681528, 12197353, 41389283, 5193768, 1277504, 19222845, 117806464, 5229812, 49803073, 43573138, 41613335, 36266915, 30869059, 15764238, 20159442, 28666453, 19937624, 31420829, 26411399, 62938781, 35164341, 8474801, 134330898, 57043443, 5607648, 113194287, 39972636, 36031943, 19061624, 20705060, 24346444, 18868967, 20933357, 67476139, 58289683, 12797032, 55241413, 49757387, 24832000, 19126206 ], [ 121536757, 97085922, 49801957, 22700031, 94714217, 7829423, 8269977, 78251328, 5227323, 88777570, 119367130, 74243328, 29005768, 55244931, 57273016, 71167525, 7619152, 139013046, 7838276, 60783830, 20457119, 83754180, 40985255, 34088334, 8151623, 6727137, 26468430, 61993387, 36979083, 9811063, 182484876, 16273457, 92420806, 19490018, 9919743, 22945594, 89979232, 21224022, 9985536, 94944082, 183119693, 166305731, 54494969, 41882169, 196409804, 18939602, 3890878, 5528881, 463223, 4844724, 14169246, 33810309, 12789386, 31737319, 60361715, 7498357, 16762983, 57345974, 11163758, 15659086, 38889326, 40958230, 80019669, 63735796, 758187, 4770883, 34162646, 12512447, 45906995, 11128502, 65080746, 31668833, 26179740, 6740528, 33384915, 51136416, 51924286, 3496511, 19353368, 69209391, 81887076, 67360450, 73106493, 20985205, 47842840, 9750518, 38520287, 143590005, 32125681, 15827181, 28854300, 3322870, 2224546, 15028178, 15727200, 5229812, 11187082, 20716534, 234361, 82379273, 42904314, 22447868, 27030575, 8976698, 9594562, 10148911, 84735281, 21571738, 35164341, 27070144, 38024288, 66045757, 17980645, 8008350, 19606445, 77874438, 9457991, 178232752, 4246504, 44322097, 32182005, 67476139, 6464083, 46661621, 73978516, 34464998, 57156642, 8385885 ], [ 158358326, 97085922, 91521943, 65044711, 136245013, 7829423, 44922504, 76781777, 11338106, 75644529, 83112828, 34518685, 71615469, 4386071, 50053741, 153742900, 42324415, 148363555, 21654249, 35896512, 7747577, 36444445, 46797033, 34088334, 11188844, 100807811, 207647937, 985564, 16651970, 9811063, 80625768, 30479417, 52355039, 84314686, 9919743, 57225841, 13482063, 89144543, 177083078, 37153598, 85422202, 91359392, 98787651, 44225706, 45483235, 181581527, 96064311, 145062040, 337819562, 32398141, 23014269, 31033888, 45328380, 43202091, 3646078, 10654555, 177760154, 248440003, 29545950, 28456691, 78969574, 163526627, 166247101, 150857475, 4091011, 137077539, 73199607, 59124870, 158975681, 11128502, 122604219, 104722467, 26179740, 143602838, 155837740, 116247650, 182167297, 188807297, 169109617, 8878336, 76332171, 113041244, 18366922, 20985205, 42126297, 23136344, 14586852, 77330876, 74453127, 15827181, 199917682, 7492623, 112610509, 19222845, 60854711, 5229812, 5674697, 2705172, 16979040, 8468478, 75431309, 18700644, 50865195, 36501952, 20196655, 10148911, 160122026, 283318677, 12215481, 94194490, 336586715, 21710698, 93898343, 190708686, 117243517, 59713556, 14935790, 135279616, 24103250, 20672213, 193466779, 67476139, 49110469, 46661621, 103579733, 116089124, 201118071, 8385885 ], [ 36948663, 12894024, 14718688, 135265314, 22315045, 27874044, 110572172, 139511402, 11338106, 113450913, 122454512, 26863402, 71615469, 25310052, 57273016, 3655378, 148249129, 38474255, 11188232, 131129715, 15625918, 22167382, 54507159, 34088334, 32404941, 43176167, 52163004, 20904728, 85673659, 21147669, 17570951, 16273457, 28190702, 19490018, 9919743, 21381525, 14451065, 49917506, 86884185, 56772905, 182146279, 72096831, 98787651, 45341313, 91602753, 1403991, 19533502, 117487211, 84387194, 40118035, 26014536, 45598393, 45328380, 15889489, 71794314, 1166550, 16762983, 8221730, 16616491, 82513676, 6652893, 163526627, 11447161, 9897694, 72295576, 6446627, 12232, 88129915, 94420609, 11128502, 35979625, 31668833, 156246820, 12467909, 51862295, 51136416, 39901889, 5503421, 16064167, 17230228, 45404420, 629887, 24766906, 18964182, 52399000, 23136344, 25127691, 123035588, 37520657, 41232400, 28854300, 3322870, 2224546, 19222845, 30221159, 49373350, 158911785, 15323433, 143560906, 82379273, 3518386, 128179090, 17579139, 157997856, 70625722, 2904225, 30097089, 43313435, 35164341, 39156272, 27637367, 36141624, 19988451, 6441393, 57490623, 12788432, 9457991, 9219250, 162226585, 94962878, 203593678, 37227739, 6464083, 78707398, 49012783, 22005357, 62399542, 8385885 ], [ 82816544, 3828193, 91521943, 18520017, 56394270, 32711496, 18080651, 2963064, 122765914, 16677736, 102887187, 74243328, 24388200, 36020946, 57273016, 31815088, 76466105, 152886672, 162242355, 339904782, 29848094, 66223794, 20793913, 91592187, 11188844, 3571107, 100386397, 985564, 4139590, 1966648, 216228118, 125103410, 24847453, 86439671, 9919743, 87902990, 28008886, 49311944, 26662702, 36647447, 152101415, 98400188, 98787651, 124972417, 39853586, 805855, 231892033, 112003318, 199069770, 32398141, 50308721, 87331021, 28964437, 67955405, 74367041, 86751626, 86578241, 36590580, 14648640, 61051410, 46751276, 513444785, 140778873, 8991634, 29072001, 122955691, 40681939, 20876282, 175983365, 11128502, 21032695, 105342013, 2585693, 60270550, 64458260, 14124872, 194068910, 22464142, 95255415, 19249411, 49723126, 629887, 11914058, 35163687, 127956508, 23974405, 127657585, 143590005, 172345165, 73828439, 200162818, 7492623, 67093881, 19222845, 117235800, 130775582, 113461032, 20716534, 34077837, 55023672, 25234297, 28870537, 64410245, 154119087, 39022418, 1543963, 160122026, 15500080, 35164341, 3674981, 247038942, 18245555, 108892514, 75222315, 275620153, 69950205, 3124469, 23286481, 162226585, 77951928, 271186117, 67476139, 35652117, 35781802, 44236451, 33481920, 54663602, 20795764 ], [ 14107149, 30243011, 44059036, 22700031, 136245013, 143782622, 81223123, 105222824, 11338106, 233495439, 107526479, 74243328, 29005768, 174118816, 57273016, 41574475, 46089273, 129850139, 93732676, 47373450, 29984501, 3124335, 226998, 34088334, 96418775, 8058707, 1271261, 316605383, 85673659, 21147669, 136375352, 16273457, 92420806, 91141172, 286632419, 162824983, 31600162, 89144543, 44363295, 2472168, 36774646, 30692901, 159501877, 107806842, 109967989, 18939602, 65664817, 72087043, 76610971, 26796532, 26014536, 33810309, 122274732, 49643662, 62917277, 47709058, 16762983, 66324518, 66565022, 103906597, 43117440, 35379752, 33395442, 15779310, 125315560, 6446627, 90060050, 58218196, 140745140, 11128502, 67709493, 105937093, 29657818, 11856924, 172618930, 29962433, 687837, 31343280, 23137451, 14443278, 81887076, 300895274, 279409298, 20985205, 258597533, 23136344, 62842898, 40669173, 32125681, 18995160, 76967518, 34241959, 78426205, 19222845, 107146911, 23009163, 16537407, 43573138, 38725004, 4239382, 53445629, 79870237, 42410573, 415024953, 165357810, 84270002, 36937843, 96921378, 35164341, 254881093, 43458299, 52679508, 61107429, 190708686, 184373931, 77874438, 9457991, 157388715, 46623379, 22717768, 282817243, 67476139, 211105208, 46661621, 80028217, 22005357, 85252114, 8385885 ], [ 12942073, 2248874, 44621595, 74511019, 25423672, 7829423, 17837375, 1626647, 5863279, 16677736, 11836062, 17470031, 29005768, 15543686, 47579100, 4016103, 18518610, 21769575, 21654249, 30519597, 29984501, 51647322, 9884354, 7375093, 8151623, 27547105, 5164034, 39720231, 4139590, 1966648, 3901026, 64500, 40148963, 42517103, 9919743, 22598478, 85660278, 43011109, 3477864, 28182241, 15113688, 1836028, 49905013, 24447404, 75516379, 10151165, 24750998, 22030126, 19799440, 40118035, 27794976, 8957435, 12789386, 24024281, 16043503, 10654555, 16762983, 6044690, 29545950, 937238, 61606123, 42231660, 11447161, 11946234, 28367226, 107757349, 36349663, 39448425, 17521143, 11128502, 51621629, 63631283, 26179740, 43232260, 1624088, 40589360, 52492171, 28942944, 6156067, 2767004, 73652273, 629887, 11914058, 10467512, 4242328, 23136344, 19146395, 16656711, 14003476, 13162029, 22158986, 7492623, 23401976, 19222845, 55887444, 41548364, 9904138, 14586481, 80062935, 30702354, 23407743, 12981142, 22173503, 75270417, 25781191, 10148911, 2476592, 14557590, 22303501, 20602581, 31533926, 21710698, 61107429, 47991101, 23806041, 43471957, 3124469, 6095430, 24346444, 20672213, 7805551, 14206851, 17832662, 32435922, 35224291, 13483105, 33560528, 8385885 ], [ 109617484, 12894024, 27156500, 50760341, 90407784, 7829423, 81223123, 10728620, 11338106, 60470620, 11836062, 1616244, 25129847, 31786303, 4391964, 27831345, 7619152, 94224087, 16111413, 12230160, 29984501, 3124335, 226998, 34088334, 15072477, 10406872, 72230546, 9297054, 76285612, 21147669, 136375352, 77504460, 92420806, 65377959, 9919743, 22598478, 24956986, 52916695, 9985536, 130784995, 125121146, 74514401, 11947319, 23846202, 91330508, 7659863, 46963576, 17972909, 27658597, 32138873, 21326024, 79506502, 45328380, 31737319, 54048224, 10654555, 80207733, 119340238, 11163758, 3880342, 35055757, 116552131, 11447161, 4081438, 758187, 4770883, 77986125, 20876282, 16242110, 11128502, 78451710, 30585461, 73522015, 62320357, 93276477, 9022882, 6179216, 91558208, 10845223, 26225179, 85742346, 51068483, 18366922, 35163687, 42126297, 23136344, 26321502, 125090912, 20337306, 31815562, 97068254, 7492623, 2224546, 19222845, 21563954, 5229812, 9206586, 43573138, 188458582, 72888543, 25234297, 79870237, 12279330, 36501952, 79147676, 10148911, 18467329, 56759152, 92495926, 94194490, 2743013, 21710698, 17980645, 44661033, 19606445, 26406378, 34783453, 85766347, 32528429, 7755034, 30099983, 37227739, 14633274, 30435074, 16655760, 5480998, 3606992, 8385885 ], [ 160574646, 13262061, 91521943, 74511019, 85942482, 7829423, 96738562, 10938352, 47429823, 273285241, 8584708, 55136879, 71615469, 31459060, 180966442, 261637768, 18518610, 181951680, 344384344, 107858694, 274219147, 54644791, 54507159, 112736680, 8151623, 43176167, 49802944, 148925914, 36979083, 9811063, 72197545, 333483409, 130629805, 435072223, 9919743, 116097973, 85660278, 90589342, 16145391, 54220157, 24397237, 109425345, 8540325, 124972417, 39039705, 181581527, 46963576, 11812863, 106526601, 42051564, 529575294, 120801518, 12789386, 49847117, 74241463, 13802806, 35333675, 57345974, 14648640, 206787761, 75983765, 163526627, 166247101, 48164330, 436551717, 137077539, 131606927, 59442247, 50326426, 11128502, 94932526, 220884734, 26179740, 52015619, 20588532, 116247650, 66406866, 133412477, 3261094, 108979105, 82576574, 156045941, 24766906, 183263655, 44399837, 23974405, 71982284, 45723755, 149029918, 134515590, 191962791, 7492623, 35881988, 108569573, 188681191, 298228350, 397986618, 43573138, 272014843, 313584214, 207472463, 6227883, 2162352, 114835017, 180978474, 292156292, 99340684, 43313435, 35164341, 150118051, 31533926, 86657443, 1250663, 194734734, 144199753, 77874438, 14187457, 9219250, 24346444, 90507478, 271186117, 67476139, 142662399, 32373667, 223595272, 368736894, 233926784, 24776891 ], [ 155487815, 32928414, 31489282, 27899268, 65020444, 103244094, 98350183, 10938352, 201741629, 69172837, 19436251, 69516883, 41594950, 18878576, 60931390, 275520263, 18518610, 115646117, 5524917, 238404249, 17088587, 83754180, 16621108, 34088334, 4836413, 3571107, 7304708, 84119448, 36979083, 9811063, 50069238, 20709558, 13192576, 1422517, 7603521, 121188832, 89979232, 330652159, 82979194, 7122117, 5403292, 7658704, 54049957, 14539178, 106813252, 5564078, 96064311, 145062040, 212705378, 74072866, 26104170, 10030682, 12789386, 22453053, 98129014, 13802806, 20975573, 20700434, 167348523, 30875112, 405868219, 35379752, 43978709, 57173112, 369816805, 23458859, 131606927, 167615967, 30422587, 11128502, 192977874, 37037815, 26179740, 11856924, 197622015, 167877967, 48982349, 31134821, 47005805, 140724751, 63723495, 77870115, 51414657, 45077948, 8841244, 23136344, 133441615, 28151729, 74453127, 73828439, 206463050, 7492623, 46605346, 19222845, 20286424, 65756555, 62659358, 6371671, 159342348, 48566027, 38867257, 22447868, 25804913, 2842731, 32343983, 10148911, 52774061, 249089175, 24606677, 10655704, 296373736, 152283894, 19566567, 101262941, 66486379, 54203634, 47784467, 223690942, 24346444, 8232945, 7440492, 124192045, 111651955, 3201161, 207387265, 65473043, 39011870, 20795764 ], [ 114125859, 97085922, 91521943, 133749724, 121936570, 7829423, 155225277, 203542477, 101431526, 537206508, 171208267, 28429720, 45110786, 286965247, 72755317, 89088779, 193818367, 66479821, 17160070, 138673085, 9367199, 46042705, 48133062, 34088334, 53819877, 380562168, 52163004, 236912121, 10614845, 21147669, 36342808, 9548619, 130629805, 22295652, 9919743, 100200947, 27094788, 57731212, 53354759, 109689335, 56845272, 39668587, 1276120, 255026952, 7150152, 57317810, 137370384, 142664011, 144185530, 212809955, 26014536, 87331021, 78337400, 30067172, 125932045, 17410947, 30242148, 76086946, 14648640, 51869400, 207784451, 163526627, 82451291, 23951579, 104789369, 152204219, 69562943, 26616868, 18592237, 62124395, 54649914, 104722467, 21045189, 71016383, 213334600, 29034, 6435969, 18727788, 95255415, 220942899, 108157408, 10158467, 12545425, 26791723, 29354841, 23136344, 168326705, 143590005, 47087107, 73828439, 1357031, 7492623, 302687862, 19222845, 131320178, 44916132, 242640728, 43573138, 195144293, 32328827, 142721906, 176571085, 72904447, 44312674, 5910747, 36643396, 475673649, 43313435, 51330308, 107671626, 26595740, 36141624, 108892514, 244157270, 3581162, 313162, 14187457, 9219250, 21771736, 94962878, 98274591, 124192045, 126099682, 148426627, 37146098, 86728952, 116591466, 202311234 ], [ 73278332, 22529708, 40672129, 27543629, 136245013, 19122126, 29738778, 10938352, 11338106, 14650532, 33741451, 17470031, 24388200, 59370111, 85724677, 12466442, 53058315, 8106186, 21654249, 12230160, 107330121, 70120030, 43723709, 35448400, 71670348, 26094442, 17402290, 82291641, 16651970, 1185873, 38668843, 30479417, 6963277, 92239000, 57270658, 6401481, 28888652, 135771865, 9985536, 181409954, 44288010, 13424672, 731027, 1795485, 28641480, 10151165, 63910709, 11812863, 129911035, 40548519, 26014536, 10030682, 15119195, 27442950, 82846431, 29246001, 20975573, 6045037, 31498301, 14786749, 64474081, 36211929, 71745963, 7969807, 4568015, 4770883, 38336878, 3934247, 1713226, 11128502, 81323474, 57092899, 2585693, 83174504, 67091866, 43752832, 62562768, 39444211, 10845223, 151233938, 93647738, 19213264, 113817328, 45077948, 7835358, 22740229, 96107183, 109291998, 10640570, 750681, 1357031, 57955964, 6808723, 2287244, 25784813, 28933106, 40686868, 43573138, 67720895, 137359511, 204360838, 5539488, 22173503, 35002967, 79147676, 58838564, 26186589, 207900538, 8172592, 97700079, 26595740, 18245555, 17980645, 75222315, 88138403, 77874438, 14935790, 92925563, 79322841, 51565532, 7805551, 67476139, 136440393, 43439840, 39927229, 13982955, 39011870, 8385885 ], [ 36165227, 36539407, 91521943, 30637130, 104338932, 19122126, 60053269, 3222655, 11338106, 13539955, 126856013, 58141178, 26224860, 13920403, 36200522, 200324416, 34949616, 1320109, 51287163, 12230160, 29984501, 32090228, 54507159, 8851008, 54094587, 743433, 9428168, 8874972, 4139590, 9811063, 175520791, 118453873, 92420806, 75432391, 9919743, 22598478, 56921507, 11986853, 80845195, 187967648, 83303806, 105840175, 88954935, 4505133, 89463338, 8738751, 40836, 5528881, 1385079, 3728851, 26014536, 38680821, 7973560, 21696554, 19560718, 13802806, 22877542, 6045037, 37915917, 53154926, 6207749, 12873619, 17556687, 7969807, 19566584, 53276082, 110304335, 20876282, 107366182, 11128502, 20324473, 88350592, 26179740, 8393207, 20588532, 282743088, 142157452, 64649441, 52479638, 1468693, 162291132, 46523739, 24766906, 16976377, 32908317, 23136344, 71982284, 14290980, 34164230, 12571273, 2486826, 5672550, 35881988, 19222845, 62289908, 5229812, 5674697, 3374612, 46980226, 15157321, 6187624, 6227883, 54855577, 15381447, 12463197, 30180049, 19570961, 18029310, 71296575, 63829230, 26152720, 28372938, 3314149, 4042507, 16524798, 37966319, 40166424, 2726960, 678656, 7755034, 29768710, 19352194, 85358323, 4241466, 15844806, 11471555, 54663602, 8385885 ], [ 36165227, 38167608, 36781346, 41152116, 125013236, 19122126, 81223123, 2963064, 11338106, 204697655, 29252939, 55136879, 71615469, 47432504, 23609316, 69899350, 35635354, 13983601, 45008831, 128972561, 29848094, 178444800, 54507159, 17249292, 15072477, 43176167, 84920237, 46274253, 28123010, 9811063, 161280117, 48525486, 92420806, 51458735, 9919743, 22598478, 56921507, 12448949, 82979194, 42639430, 53617443, 19494935, 54049957, 1795485, 17327896, 10151165, 21595824, 5528881, 203638346, 72778389, 24144608, 87331021, 4303082, 35303013, 74241463, 13802806, 28187683, 500064, 23762796, 186875839, 53523994, 48287149, 17556687, 7969807, 100562508, 62052491, 81287623, 20876282, 158975681, 11128502, 38180397, 94246456, 26179740, 25466258, 61216899, 114667303, 142157452, 71370016, 52479638, 26225179, 82576574, 83560842, 24766906, 140116245, 25004317, 23136344, 14478024, 97609519, 26360257, 14147398, 119485024, 7492623, 23401976, 19222845, 1284345, 5232805, 5674697, 20009568, 119786801, 22455383, 3152789, 6227883, 10013325, 28666453, 115294007, 8910727, 19570961, 185295986, 35164341, 150118051, 69493393, 90876762, 27123554, 174457815, 5236502, 1662263, 16837303, 61327711, 678656, 1053920, 1819671, 67476139, 49654188, 78707398, 22309516, 51706520, 88848422, 8385885 ], [ 56408577, 8495194, 16012656, 70998739, 25250851, 19122126, 36113483, 70932709, 47429823, 36280452, 37832649, 44549635, 71968523, 11476853, 23609316, 69899350, 131002390, 43452128, 14248063, 22157281, 29984501, 116153520, 52292132, 34088334, 101437440, 43207161, 5164034, 46274253, 4139590, 21147669, 161280117, 188706743, 37924836, 103716003, 130064242, 29029864, 56921507, 12448949, 9985536, 36700884, 50758034, 93790372, 56627726, 4505133, 98622763, 181581527, 46963576, 11812863, 79187697, 20656455, 25631379, 10030682, 118682533, 35303013, 74241463, 29246001, 50835288, 6045037, 37915917, 19616054, 94845629, 256251550, 33395442, 7969807, 132001864, 4770883, 110304335, 20876282, 19928807, 116942497, 260100253, 2579604, 104330210, 60270550, 144424864, 67053694, 78937118, 175295392, 3214358, 19249411, 160852422, 32242000, 24766906, 140116245, 137719581, 23136344, 127116339, 14290980, 217357426, 12571273, 97068254, 33766378, 112610509, 19222845, 49421220, 5232805, 88012832, 3374612, 120942694, 104853396, 138193814, 69046360, 256966808, 137820643, 72897046, 77268489, 47583747, 26283601, 60066507, 227511306, 31533926, 42708721, 17980645, 152355367, 113359187, 9524705, 84096321, 2726960, 678656, 73708428, 51613150, 67476139, 42386113, 77465073, 69861323, 49757387, 54663602, 64625230 ], [ 73278332, 13262061, 16626766, 19271567, 64758309, 7829423, 15526951, 10938352, 47429823, 63191051, 63894381, 31977768, 12314644, 11534062, 57273016, 132513171, 35635354, 35210160, 51287163, 22666107, 19042001, 46042705, 54507159, 16439853, 7184443, 16516959, 8215925, 46274253, 36979083, 9811063, 32318278, 72761192, 37924836, 41186532, 9919743, 5820433, 52868871, 11764889, 9985536, 17665286, 130670162, 39668587, 54049957, 4505133, 17327896, 11850518, 46963576, 5528881, 13738944, 25566948, 7777001, 2569680, 32288969, 53591605, 40934315, 13802806, 2531635, 6045037, 5615291, 87960226, 63621519, 97305873, 33395442, 7969807, 8508594, 4770883, 6272103, 20876282, 58456141, 11128502, 32168622, 41562746, 3951139, 20330484, 55101405, 113168606, 3888861, 37042385, 8343622, 72971321, 7023445, 23948815, 14182064, 152145799, 3041118, 4804257, 26544004, 34969278, 11551154, 8535135, 94996806, 5193768, 15590413, 7297955, 29116927, 5229812, 47946239, 3374612, 8006431, 32328827, 35783437, 22447868, 21249530, 28666453, 2199822, 5937249, 47583747, 14415215, 19799703, 14536610, 9502889, 14097061, 17980645, 54058096, 45038678, 6730785, 14187457, 2726960, 7713133, 5215278, 20933357, 53718499, 42882095, 4241466, 16500591, 49757387, 42261887, 1128106 ], [ 104428133, 13262061, 91521943, 2229459, 82545437, 7829423, 3430408, 10728620, 11338106, 146809552, 63894381, 74243328, 71615469, 131834188, 23609316, 69899350, 5884746, 10053466, 51287163, 19565881, 29984501, 176236442, 52292132, 34088334, 25667255, 43176167, 17558543, 27137373, 36979083, 9811063, 64324958, 11282436, 44581152, 44798675, 9919743, 29029864, 26161693, 73676270, 23580742, 36700884, 158735679, 74514401, 54049957, 4505133, 17327896, 109174654, 33535188, 11812863, 24758624, 35503121, 2517725, 46356575, 13671072, 21778984, 42574288, 13802806, 62931609, 6045037, 37915917, 97694754, 40215108, 139829406, 33395442, 7969807, 83584128, 48720981, 9903185, 40059878, 158975681, 11128502, 42411904, 57092899, 26179740, 8095366, 137897006, 67053694, 142157452, 153006348, 3261094, 3400982, 160852422, 159234902, 24766906, 45077948, 100146968, 23136344, 5173307, 143590005, 101985181, 5362144, 89343183, 5193768, 53375586, 19222845, 215206201, 75481534, 7349349, 43573138, 65524676, 44985593, 282547069, 22447868, 64410245, 64613109, 19183191, 98084702, 93762292, 56759152, 35164341, 13549282, 339445749, 16284884, 8225760, 174457815, 144199753, 74931875, 82300461, 2726960, 7713133, 90507478, 187709261, 10996978, 20814116, 20083181, 69861323, 67233881, 39011870, 8385885 ], [ 160574646, 13262061, 57678868, 7150769, 136245013, 19122126, 26349620, 10728620, 47429823, 512449182, 23414985, 72250551, 246981276, 60310853, 63478627, 63288043, 148249129, 78097557, 30041241, 25067792, 6585386, 183131299, 54507159, 16439853, 15072477, 455495, 7868675, 46274253, 85673659, 21147669, 108115314, 110400755, 130629805, 42594670, 46408474, 18914570, 85660278, 78204615, 23580742, 80415472, 158735679, 74514401, 114412716, 55995423, 39039705, 9375951, 46963576, 11812863, 130380885, 41380616, 15383545, 15202706, 15119195, 23472113, 74241463, 16754155, 85409508, 6045037, 37915917, 6610976, 94845629, 128125531, 125777151, 7969807, 20576790, 21279826, 76759975, 11729070, 23333317, 8937545, 27213168, 166078129, 200331027, 97447020, 20588532, 24883461, 26633138, 34125965, 52479638, 26225179, 45762368, 33612121, 24766906, 32908875, 7835358, 105462423, 16454084, 92190749, 55897584, 123595886, 90594670, 15547474, 77572742, 19222845, 21563954, 5232805, 87409555, 6823891, 120942694, 148252258, 186173057, 37225149, 17693913, 45051428, 142115595, 123258397, 158933417, 226223043, 12821873, 274253304, 207442129, 204112357, 34900327, 194734734, 144199753, 77874438, 250835756, 5300437, 162226585, 90507478, 2672012, 76350134, 85358323, 32373667, 76355897, 298087002, 39011870, 158189237 ], [ 24568957, 89288666, 91521943, 71795229, 18941571, 7829423, 129549792, 71961339, 41173328, 60224892, 22907577, 31649481, 12975026, 43984272, 21280646, 11534976, 98507634, 7714487, 51287163, 138673085, 73039521, 118009155, 7097485, 16439853, 3249289, 47168326, 17558543, 84360537, 67213595, 21147669, 100132079, 119592029, 39949637, 21127521, 9919743, 18914570, 95227842, 11986853, 53354759, 32979169, 669974, 7658704, 49905013, 4505133, 85409986, 926408, 21595824, 71630775, 11170604, 28023398, 26014536, 7980156, 51243350, 1550286, 19560718, 105514069, 20880505, 6045037, 11163758, 99788052, 39272359, 66316249, 32872819, 7969807, 189214701, 34639356, 9199391, 3498867, 26990795, 6077036, 30997187, 4843872, 69686878, 26827335, 76814743, 109358300, 137751260, 3496511, 41437622, 4062897, 9057749, 6306853, 24766906, 94155543, 86013145, 70502363, 91028261, 10662434, 75044357, 25591598, 66939713, 7492623, 72104238, 19222845, 137225623, 12616136, 17011952, 6823891, 5520883, 321143, 23210527, 15546031, 11567449, 2842731, 18629613, 54920280, 130163979, 23450023, 26093144, 27070144, 31533926, 74908964, 43620320, 96868541, 22339903, 22788190, 64456563, 42167749, 80092846, 20039741, 10094996, 30146841, 49654188, 78707398, 69861323, 4746681, 13486249, 103542213 ], [ 48319627, 97085922, 42285537, 27543629, 121936570, 83475848, 182108133, 10728620, 31816588, 366499041, 60840185, 74243328, 45110786, 17661530, 145844599, 89088779, 76141940, 30847397, 17160070, 16546424, 9367199, 46042705, 54507159, 56383534, 15072477, 47168326, 12551270, 35639931, 4139590, 9811063, 81379617, 61524063, 71562690, 15439603, 62623214, 97898242, 60989403, 4832556, 23580742, 48807174, 9632481, 39668587, 1276120, 744442, 24402478, 10151165, 46963576, 375422674, 58289967, 60223950, 68694705, 35578335, 92296502, 30067172, 74241463, 13802806, 150297122, 88948515, 25109662, 37373580, 64474081, 35379752, 38610750, 57173112, 36413094, 8767110, 45249501, 13533830, 18592237, 11128502, 54649914, 17721066, 26179740, 11856924, 79507367, 29034, 6435969, 176216109, 10845223, 11209908, 14601617, 61404001, 24766906, 116009287, 7835358, 10497936, 19628081, 28151729, 10654531, 111787129, 138926933, 74663741, 23401976, 19222845, 131320178, 5229812, 113461032, 43573138, 195144293, 32328827, 138193814, 13573695, 22173503, 86780995, 136363295, 19515830, 67413215, 67370304, 53561673, 94194490, 25802810, 64233309, 47260902, 102948098, 303024978, 313162, 123761371, 106765237, 24346444, 34438843, 7805551, 324272898, 34781054, 151942438, 10498655, 151585033, 36381248, 123716021 ], [ 48319627, 22529708, 91521943, 80487212, 104338932, 7829423, 177636650, 219789550, 46653, 295170474, 377992692, 74243328, 71615469, 144419901, 147782651, 24380805, 74662461, 159964600, 51287163, 263517754, 39024619, 76492208, 48133062, 34088334, 21710163, 43176167, 53888858, 109373273, 4139590, 13006262, 104329566, 2675367, 111407, 15439603, 9919743, 97898242, 131445641, 11986853, 30571961, 90318105, 9632481, 24969733, 1276120, 124972417, 92138015, 5564078, 137370384, 145062040, 9195241, 89121664, 368145876, 78383290, 78337400, 49539256, 98129014, 10654555, 66336280, 10817255, 14648640, 182079177, 204458848, 2107739, 69429428, 48164330, 189214701, 9543808, 131606927, 5513119, 62129191, 11128502, 356396900, 104722467, 21045189, 38865431, 105449809, 29034, 48982349, 30756336, 40062835, 19249411, 262056650, 124271638, 78795499, 26791723, 8841244, 23136344, 69146842, 103171910, 62599626, 104957578, 166448149, 7492623, 23401976, 158791213, 44715733, 28414050, 113461032, 43573138, 82813620, 172106652, 138111909, 64147911, 22173503, 44312674, 144803212, 44092943, 47583747, 104978551, 21490177, 28840007, 466458192, 71336515, 93898343, 110223956, 303024978, 77874438, 14187457, 135279616, 134089134, 59113867, 7805551, 68012621, 142662399, 28196801, 10498655, 49757387, 54663602, 8385885 ], [ 11998956, 97085922, 14916627, 27543629, 130070688, 7829423, 17837375, 10938352, 47429823, 160907116, 30421189, 74243328, 8799657, 131834188, 66951889, 89088779, 259690407, 150590485, 12913358, 128972561, 274219147, 155600792, 54507159, 34088334, 34078856, 46559750, 16674892, 178446315, 4139590, 9811063, 3901026, 50104602, 84414424, 303440168, 37509019, 107832548, 7904856, 195239374, 82979194, 81042990, 29972900, 13424672, 54049957, 124972417, 118312078, 72681927, 4859983, 5528881, 153289754, 96256646, 281053886, 87331021, 62915315, 92446201, 2219404, 13802806, 150297122, 7865970, 14648640, 108112636, 1694724, 40961114, 60970718, 48164330, 25872681, 45044728, 45249501, 87708302, 36603489, 11128502, 177711558, 115550342, 26179740, 60270550, 57061741, 29034, 57788127, 4232416, 95255415, 19249411, 153159701, 26621193, 24766906, 199903515, 7835358, 23136344, 119891652, 143590005, 11642142, 45315856, 127256505, 121776789, 26591430, 19222845, 45515560, 5229812, 12075337, 43573138, 102222678, 135360213, 27835947, 22447868, 64410245, 26901589, 7562204, 134518649, 46887196, 104978551, 35164341, 63829230, 96317693, 203504414, 47260902, 139511533, 22994237, 77874438, 14187457, 15808575, 24346444, 83135938, 43942944, 67476139, 88662798, 16510963, 78854301, 9183339, 46559325, 38877002 ], [ 69425260, 25627318, 10585990, 71795229, 25910147, 7829423, 139422025, 618812, 74851581, 53988238, 42522121, 89092281, 71615469, 59370111, 228818974, 24492652, 21521887, 29437317, 5312691, 102087662, 9367199, 46042705, 54507159, 34088334, 1830157, 43176167, 136676877, 8874972, 5083551, 21147669, 182484876, 28857644, 39949637, 84314686, 9919743, 97226054, 85660278, 88427717, 58347541, 95231108, 188043164, 39668587, 8540325, 4505133, 1351015, 181581527, 170764325, 5528881, 102949115, 41380616, 26014536, 86665551, 51243350, 109565665, 47110452, 414750402, 31986973, 8221730, 11163758, 15659086, 133370906, 163526627, 153937489, 48164330, 25872681, 42677988, 131606927, 59124870, 24226835, 75709387, 54649914, 73698525, 214073558, 118429636, 20588532, 109085950, 210188509, 4232416, 44841138, 167507113, 14601617, 51068483, 15319916, 15154920, 12184028, 23136344, 26321502, 38692286, 18932453, 29918338, 119485024, 7492623, 60564107, 5981877, 45515560, 5232805, 26063013, 43573138, 110766261, 32328827, 112689889, 13693898, 99382265, 33373381, 18629613, 37105099, 30097089, 55990207, 118933817, 93124208, 118333238, 102103041, 22799841, 57620478, 38665673, 313162, 14187457, 10451778, 132156793, 34438843, 10094996, 76350134, 48791520, 273976037, 62547840, 83112910, 32424588, 82023210 ], [ 56408577, 2248874, 61927879, 4282552, 69996330, 7829423, 3430408, 117250155, 31816588, 187545535, 3134393, 49874935, 8799657, 13920403, 57273016, 142056783, 7619152, 10053466, 38791257, 22157281, 16705778, 32527896, 54507159, 34088334, 22205311, 43176167, 55335418, 27137373, 36979083, 6847388, 90105736, 9444588, 6963277, 15439603, 42296969, 22598478, 140274632, 68112369, 14852364, 128606085, 9632481, 112277313, 4528959, 21237271, 57221722, 5564078, 17445992, 11812863, 7675613, 95872923, 8112671, 8049892, 120989995, 21778984, 19552087, 13802806, 1974420, 7865970, 59229453, 21392781, 3042389, 826623, 33395442, 42993293, 758187, 23408616, 9199391, 313465, 36603489, 11128502, 42411904, 6038789, 26179740, 12467909, 55101405, 38993477, 30914896, 2574890, 44841138, 74104424, 51677034, 40201275, 24766906, 21883622, 8841244, 7244825, 489364, 63306276, 20337306, 73828439, 4822408, 57955964, 26692664, 3492989, 22589721, 65146730, 1851798, 43184542, 234361, 67173398, 24874990, 22447868, 40716575, 28107, 15798931, 14180180, 16100879, 1634069, 262253530, 134786515, 130573337, 125637017, 82641380, 169587478, 22984477, 77874438, 82120462, 57047011, 24346444, 42452573, 7440492, 67476139, 6464083, 60824456, 8665273, 114429649, 35388483, 10384455 ], [ 24568957, 97085922, 213557621, 27543629, 70390093, 219370983, 357255323, 315969607, 237851539, 85692249, 150685462, 74243328, 45110786, 30941642, 404779747, 815320814, 148249129, 148363555, 51287163, 138673085, 80759830, 152078517, 49929162, 344223468, 53819877, 21804656, 202725313, 116626588, 240025362, 155098045, 216228118, 240928920, 39949637, 15607790, 93282730, 195113050, 345116582, 31444069, 12969820, 194479144, 161630182, 875346195, 49905013, 52181735, 251836186, 181581527, 169195268, 33600193, 331134396, 337620814, 26014536, 152410674, 78337400, 174272567, 44649058, 414750402, 150297122, 57201521, 194730656, 279690392, 17639151, 71164433, 166247101, 40661463, 189214701, 14866905, 292985123, 294649899, 202957703, 11128502, 62886761, 48959813, 244125024, 30813733, 213334600, 369331333, 398524076, 107055693, 145075117, 382184785, 197633367, 7202544, 340632669, 136515497, 7835358, 169104979, 119891652, 143590005, 252921579, 72244029, 27634171, 114032897, 443929535, 5981877, 228821759, 116570711, 98189046, 43573138, 97770868, 39331384, 531771600, 115854557, 53806064, 239706096, 33593884, 143719133, 160122026, 55990207, 35164341, 29434560, 364340403, 240288566, 34900327, 300943436, 523612191, 77874438, 59825163, 203505546, 49870276, 384429192, 268009749, 186409167, 183488793, 78707398, 208043842, 58301158, 32424588, 158189237 ], [ 73278332, 38167608, 43195613, 8921323, 33277103, 7829423, 81223123, 10938352, 25044537, 24248974, 22629165, 54222242, 12975026, 42278554, 57273016, 21736456, 18518610, 10053466, 259869491, 25067792, 29984501, 46042705, 21156199, 34088334, 8151623, 455495, 7304708, 46274253, 4139590, 9811063, 74979006, 35171608, 13192576, 19490018, 7603521, 15893949, 89979232, 57141633, 65946066, 18750552, 74582199, 28262806, 374018, 4505133, 7150152, 926408, 8899107, 11812863, 26619595, 41380616, 15383545, 78162373, 12789386, 13230952, 2329022, 10654555, 75648262, 6045037, 27541038, 37535908, 22719135, 35379752, 33395442, 7969807, 4568015, 23458859, 77986125, 20876282, 23333317, 11128502, 1316220, 72096919, 26179740, 11856924, 7495322, 94031685, 142157452, 32360105, 2203688, 4062897, 25257053, 51068483, 24766906, 74964443, 43158043, 23136344, 145460353, 65859679, 9535770, 40272716, 28854300, 7492623, 8702321, 19222845, 107146911, 5229812, 18020195, 6371671, 34881830, 12353703, 12257796, 17901753, 2162352, 5648562, 15798931, 30180049, 3085938, 3070446, 45380486, 68911876, 9815567, 51741633, 61107429, 50913324, 1006337, 58569374, 26835622, 9219250, 24346444, 22717768, 7805551, 44399610, 6464083, 30294394, 19894545, 51706520, 23279090, 63402834 ], [ 14107149, 22529708, 74388759, 43382058, 125013236, 7829423, 81223123, 10728620, 47429823, 13939513, 126992149, 55136879, 162302188, 43984272, 12809285, 3182977, 98507634, 30847397, 21654249, 16546424, 29984501, 46042705, 54507159, 34088334, 7756224, 12564057, 7868675, 46274253, 4139590, 6847388, 35615106, 120214899, 28190702, 86439671, 7603521, 22598478, 71870895, 52916695, 23580742, 18750552, 63377912, 39668587, 54049957, 8092608, 39598691, 83161244, 46963576, 11812863, 27658597, 37415099, 26014536, 87331021, 45328380, 22453053, 32722070, 29246001, 103045746, 1621307, 14648640, 70766051, 43117440, 34422962, 33395442, 4081438, 175549894, 23458859, 110304335, 15472893, 180316099, 11128502, 38757949, 153228347, 188212101, 21348038, 55101405, 116247650, 99817663, 9058477, 88157708, 19249411, 63723495, 93521448, 20229254, 42262263, 100146968, 23136344, 52296276, 42591551, 52984891, 10678242, 119485024, 57955964, 77572742, 19222845, 22053928, 5232805, 74143374, 6371671, 8006431, 32328827, 33580060, 24914274, 64410245, 114835017, 32343983, 2904225, 47583747, 3824292, 35164341, 68911876, 53651415, 51741633, 82457441, 259420844, 73458073, 77874438, 14187457, 38190111, 52303884, 51565532, 51613150, 67476139, 85358323, 78707398, 98958319, 49757387, 5965948, 48756787 ], [ 160574646, 22529708, 91521943, 128267994, 33277103, 7829423, 4873519, 7828329, 108763704, 74157436, 23414985, 40028156, 71615469, 65401774, 57273016, 155426190, 44258547, 122407785, 102434117, 25067792, 15152980, 32090228, 54507159, 34088334, 15072477, 455495, 7304708, 46274253, 36979083, 9811063, 32318278, 38606700, 122536234, 53230853, 9919743, 112114583, 85660278, 904925, 39196081, 48807174, 52186791, 39668587, 11952348, 744442, 142302097, 171907556, 47033717, 11812863, 14335983, 52133795, 7446832, 87331021, 17070917, 21139736, 98129014, 13802806, 75770217, 500064, 14648640, 37539156, 47814554, 35379752, 163733495, 7969807, 116175762, 37695852, 73250709, 12512447, 23333317, 11128502, 3837077, 27231909, 17670782, 1839938, 20588532, 116247650, 39107390, 25369199, 52479638, 26225179, 126269287, 176068714, 44668333, 152145799, 153339927, 23136344, 14478024, 123070511, 34164230, 69120244, 90594670, 7492623, 8702321, 19222845, 15727200, 91311068, 95915745, 7654127, 8006431, 32328827, 67515067, 20750624, 48659214, 13618800, 19937624, 20930447, 47583747, 18029310, 45380486, 192731599, 14870913, 79397894, 3314149, 225287492, 73458073, 39713825, 221657, 43063736, 13259227, 7755034, 1819671, 54314133, 16718306, 75288835, 81256842, 49757387, 185868633, 120635486 ], [ 73278332, 13262061, 91521943, 133749724, 119583545, 7829423, 81223123, 10728620, 47429823, 151180819, 126174866, 12363574, 71615469, 65401774, 57273016, 106614122, 16975223, 43452128, 186763880, 83169594, 29984501, 46042705, 54507159, 21110622, 15072477, 47168326, 7304708, 46274253, 36979083, 9811063, 171204826, 30479417, 6963277, 19490018, 9919743, 26992503, 48222143, 904925, 12097461, 34923500, 86201124, 39668587, 731027, 744442, 166724708, 181581527, 46963576, 11812863, 103310572, 40548519, 26014536, 87331021, 78337400, 67955405, 34066122, 10654555, 2531635, 6045037, 19340866, 21392781, 35055757, 35379752, 33395442, 7969807, 4568015, 61891799, 110304335, 12512447, 16242110, 11128502, 3837077, 57092899, 26179740, 11856924, 33384915, 67053694, 39107390, 31134821, 52479638, 26225179, 206468708, 46179394, 24766906, 45077948, 132605470, 23136344, 65709753, 14290980, 20337306, 73828439, 7903880, 7492623, 47854487, 19222845, 15727200, 5229812, 42116163, 43573138, 8006431, 32328827, 129171126, 22447868, 48659214, 132992065, 53255830, 35033547, 47583747, 10548142, 60066507, 10655704, 9815567, 152283894, 93898343, 194734734, 22984477, 77874438, 21334239, 98757284, 24346444, 10194652, 26725647, 86156411, 6464083, 85752042, 77755570, 35507064, 39011870, 120635486 ], [ 1420552, 29738446, 27156500, 213877918, 94269496, 66122324, 81223123, 10728620, 11568794, 14650532, 14369936, 34518685, 71615469, 39175709, 57273016, 4605955, 35125455, 148363555, 21654249, 131129715, 29984501, 126670852, 8824962, 80802178, 107136452, 18166776, 56816461, 31043805, 36979083, 9811063, 92938946, 150618240, 40148963, 111923324, 9919743, 22598478, 59625208, 52916695, 23580742, 194479144, 69400331, 28262806, 98787651, 124972417, 39853586, 48317508, 29968857, 85921146, 27658597, 185945601, 26014536, 8049892, 7060369, 21139736, 3646078, 11735842, 53062203, 92802731, 29545950, 33823205, 41515455, 34615332, 33395442, 4081438, 92444769, 23458859, 38168786, 25794162, 5802696, 9997924, 122604219, 134418637, 2585693, 96613055, 7722635, 106256978, 39663821, 144514559, 2203688, 74104424, 36040085, 28654178, 9903789, 45077948, 32908317, 53665868, 31450107, 71281776, 9535770, 57914762, 183678955, 7492623, 53375586, 19222845, 227162778, 86664332, 1503253, 43573138, 8006431, 62181122, 34465906, 6227883, 2162352, 36786239, 20196655, 102480273, 14934828, 87905953, 44186, 145389589, 43644912, 18245555, 108892514, 75222315, 91062607, 9524705, 14935790, 139046041, 6556908, 51565532, 72384762, 54314133, 15840429, 4241466, 23136354, 45297224, 34395922, 48756787 ], [ 153021146, 75324996, 109678289, 77738083, 57868309, 7829423, 93426429, 72267467, 62136035, 106098798, 14369936, 10636388, 25445633, 38623308, 35690140, 11438991, 40855158, 10053466, 5312691, 56392526, 7375240, 59526203, 54507159, 34088334, 10488826, 228931740, 56816461, 75995835, 4139590, 3745338, 114124290, 746121, 57642224, 267007169, 9919743, 22598478, 71870895, 27266880, 53354759, 37153598, 75849346, 14482543, 76648308, 4505133, 23745469, 161877, 25841933, 11812863, 27658597, 147982748, 27794976, 19200774, 28551907, 21139736, 17366602, 9797239, 36801704, 6044690, 14648640, 12413491, 60323802, 24647788, 118450694, 4081438, 28367226, 99991575, 105604947, 12512447, 60730647, 11128502, 22704879, 110631112, 43998752, 6787830, 8301896, 6418255, 210337212, 22464142, 19185682, 19249411, 59306184, 192506268, 34247892, 47497483, 12184028, 23136344, 11496746, 143590005, 23343725, 53672825, 39170009, 6487424, 33788022, 9401912, 15727200, 99397760, 5674697, 20583885, 120942694, 30702354, 15736759, 79870237, 57146706, 31086683, 73333358, 42055225, 30586176, 2028917, 35164341, 4112022, 16711414, 152283894, 40955878, 212933282, 54283146, 77874438, 14187457, 134744943, 103885648, 37252000, 77668649, 15591838, 2419498, 4241466, 69861323, 43081569, 54663602, 34839164 ], [ 133767379, 97085922, 9024081, 67991332, 136245013, 7829423, 123781816, 76074762, 7078889, 138439966, 151853792, 7287072, 68956184, 298988995, 220839074, 26238577, 143184077, 17755820, 81957653, 56893036, 48757041, 46042705, 8613264, 548401, 76722563, 12171736, 22853199, 202500137, 49492879, 14046842, 7667555, 804298, 13668945, 90961544, 71886885, 107832548, 15948992, 55837967, 11672916, 98233767, 6035902, 39668587, 246623870, 93323456, 214349941, 60733243, 60722984, 33182577, 158281515, 92707767, 26014536, 411754227, 211481240, 30779471, 98129014, 166440045, 24442330, 108771973, 90386076, 228765702, 416883383, 163526627, 156868687, 47980771, 211081391, 16362042, 10076911, 12512447, 48404200, 11128502, 160334974, 39351485, 144387996, 54802388, 33384915, 116247650, 3601919, 71500726, 180760287, 34722403, 105609576, 10158467, 68071769, 188264330, 70291863, 19810342, 170647244, 143590005, 36523646, 148005474, 15945830, 190521548, 112610509, 243510909, 15727200, 5229812, 9904138, 43573138, 228022515, 9350717, 62500406, 176807439, 64410245, 207540529, 19451382, 36643396, 127220038, 21571738, 19320009, 94194490, 65357211, 166547891, 200802151, 194919342, 184373931, 40457437, 123359600, 40852146, 656225, 22717768, 105648214, 84021672, 63737771, 78707398, 178435053, 381357408, 275393697, 59881781 ], [ 73278332, 22529708, 91521943, 43382058, 136245013, 7829423, 81223123, 10728620, 11338106, 285632208, 90727565, 33357225, 5021954, 43984272, 60931390, 85578265, 124340353, 10984227, 12583314, 16546424, 29984501, 29040396, 8613264, 20320274, 15072477, 43176167, 7868675, 35639931, 15008200, 21147669, 108267654, 30479417, 24079257, 86439671, 14422102, 22598478, 89979232, 94981046, 20993768, 17687675, 11142073, 74514401, 25489529, 14539178, 1994469, 8738751, 46963576, 124994686, 4656625, 3383382, 27794976, 35578335, 6903960, 37635859, 74241463, 10654555, 62455482, 7865970, 66967279, 7096110, 101470147, 30874522, 33395442, 36769191, 47388679, 10783488, 69275328, 3498867, 126293820, 11128502, 5257902, 3453250, 10258276, 60358319, 81290111, 76258876, 3601919, 36564773, 145075117, 26225179, 14601617, 19882501, 12441711, 45077948, 53308058, 23136344, 111552060, 143590005, 36523646, 21258094, 143153896, 173450247, 77572742, 19222845, 9243788, 75897377, 9904138, 43573138, 42289158, 30702354, 86440025, 58864030, 64410245, 51432934, 48747273, 10148911, 4744272, 8653599, 19320009, 48503409, 8198026, 20229549, 34900327, 164357371, 12780855, 9524705, 29906894, 40852146, 1231057, 806488, 43942944, 9601057, 42386113, 39724630, 136348263, 29646304, 39011870, 8385885 ], [ 52978092, 22529708, 68189286, 27543629, 86909672, 7829423, 15454074, 5786185, 9830850, 52111098, 33741451, 16726395, 79362132, 13920403, 49382248, 239229348, 26988668, 41969511, 69980476, 28941804, 29984501, 4688861, 54507159, 34088334, 3474163, 3571107, 70960851, 62783243, 4139590, 9811063, 74979006, 30479417, 63338930, 86755083, 6697216, 280867, 10420536, 39566957, 16476690, 103677715, 5403292, 31218943, 74855174, 24140305, 39598691, 9901299, 60722984, 33027000, 31732514, 52133795, 26014536, 87331021, 54059371, 35867274, 98129014, 10654555, 150297122, 64185138, 14648640, 30875112, 22685670, 23452928, 33395442, 35920604, 29568306, 137077539, 131606927, 77917987, 107120011, 8918385, 10096241, 62792592, 6768022, 60270550, 20588532, 21353698, 51828927, 62078491, 95255415, 7071017, 235693066, 99339, 40589052, 24220584, 7835358, 23136344, 38520287, 143590005, 33180175, 40616298, 152840646, 62389858, 23401976, 19222845, 26139271, 65146730, 29930575, 23010902, 16833010, 139996173, 329018957, 21652292, 22173503, 15381447, 76955315, 36643396, 47583747, 58570577, 35164341, 69952213, 31533926, 1803642, 47260902, 259420844, 24729259, 77874438, 8909661, 36215336, 24346444, 22717768, 7805551, 67476139, 89728811, 27607506, 22257281, 49757387, 54663602, 20795764 ], [ 131806798, 32986793, 87662945, 23371577, 33277103, 88259316, 81223123, 130453420, 7078889, 212447531, 33741451, 7287072, 71615469, 174118816, 95616906, 26238577, 16975223, 44778422, 51287163, 138673085, 29984501, 171588189, 54507159, 30265834, 8151623, 200747968, 58205030, 82582567, 4139590, 6892817, 145809542, 19256234, 33744510, 2703687, 9919743, 41163899, 123178465, 125350875, 11672916, 37153598, 11142073, 106552489, 17055804, 41882169, 24402478, 11684360, 3890878, 142902414, 57139815, 127986232, 26014536, 30636594, 6903960, 28863318, 115547, 13802806, 16568370, 50073440, 11163758, 37539156, 141943646, 66703717, 33395442, 15008321, 77097147, 23458859, 10076911, 14968105, 6005507, 11128502, 98702426, 39351485, 10258276, 60270550, 142869674, 180806591, 164224496, 71500726, 24397799, 19249411, 41445570, 19213264, 1915231, 163427705, 70291863, 23974405, 136229820, 65859679, 16187715, 73828439, 6008319, 7492623, 8702321, 19222845, 25784813, 5229812, 9904138, 15323433, 96929457, 30702354, 62500406, 22447868, 12046729, 132992065, 72897046, 72541170, 160122026, 43313435, 44186, 20602581, 58593913, 20229549, 79920231, 90246959, 1003663, 71561743, 14187457, 9219250, 24346444, 22717768, 47528981, 156093404, 17832662, 78707398, 44237281, 298087002, 54663602, 8385885 ], [ 63235793, 110676249, 124095994, 52262630, 29255707, 7829423, 42086176, 130453420, 7078889, 53988238, 30421189, 58519521, 71615469, 82164340, 57273016, 72441900, 369486088, 44778422, 51287163, 56893036, 29984501, 49902916, 47239989, 548401, 1830157, 43176167, 82373190, 8874972, 5083551, 9811063, 135556661, 71019211, 40279073, 284387063, 9919743, 6019223, 85660278, 55837967, 11672916, 101321538, 14710611, 68094525, 98787651, 173453756, 140478244, 10914927, 60722984, 5528881, 102949115, 20409292, 27794976, 38680821, 36909036, 67955405, 47110452, 10654555, 177760154, 108771973, 38478205, 17090967, 158349795, 48287149, 33395442, 74046888, 25872681, 137077539, 153379140, 79939435, 36603489, 240893712, 47738403, 19653840, 26179740, 118429636, 20588532, 116247650, 110310418, 4232416, 169109617, 167507113, 373099250, 19882501, 63220833, 138099915, 32908317, 23136344, 37142613, 143590005, 47009247, 54655143, 66873785, 7492623, 226302143, 19222845, 62289908, 65146730, 9904138, 43184542, 6461659, 30702354, 62500406, 22447868, 138163024, 33373381, 165357810, 6136708, 193070680, 58570577, 63607067, 18875456, 168782422, 152283894, 93898343, 259420844, 54283146, 13721683, 123359600, 40852146, 24346444, 11520981, 50958776, 76350134, 142662399, 4241466, 158259947, 141692705, 73978564, 8385885 ], [ 42188445, 83328899, 91521943, 76633906, 40924872, 53865188, 270437116, 155826217, 47429823, 39594568, 151853792, 55136879, 71615469, 59370111, 14676184, 15234823, 50298080, 69607594, 12583314, 113435144, 27516842, 250589251, 54507159, 69633968, 6337848, 43176167, 202725313, 8874972, 49492879, 21147669, 216228118, 235145858, 130629805, 32996194, 9919743, 57662041, 60098715, 64570095, 43112499, 194479144, 44872096, 234790586, 17055804, 14452375, 141293504, 108704991, 46963576, 234105103, 87942530, 3383382, 26014536, 82219332, 5217428, 87228224, 115547, 2284701, 78246922, 71019915, 46020475, 16330527, 170931065, 142646029, 150362401, 74046888, 104946296, 74830968, 14639676, 296272774, 180184322, 11128502, 5257902, 73698525, 8987242, 108748866, 20588532, 43492965, 84497643, 106368291, 13309723, 7071017, 76765960, 99339, 24766906, 22687244, 255086170, 58230184, 143989921, 143590005, 242605009, 164468550, 97920689, 7492623, 32131144, 10463475, 107653385, 54693017, 33930366, 43573138, 27524355, 69459045, 34949117, 79870237, 64410245, 114835017, 76955315, 29858419, 58825666, 250292632, 35164341, 98794772, 275639741, 48573524, 62702179, 265608265, 240354627, 77874438, 82300461, 524511676, 74848522, 34077957, 50047024, 67476139, 64768070, 78707398, 102807686, 43081569, 117897458, 82023210 ], [ 24175356, 58347020, 80172431, 23371577, 78246905, 7829423, 81223123, 281574122, 16476436, 69172837, 107526479, 74243328, 71615469, 13920403, 110703301, 127406295, 35635354, 13983601, 12583314, 131129715, 17088587, 78000045, 593769, 85314941, 4836413, 2979008, 113372707, 31043805, 4139590, 21147669, 10147561, 48525486, 21803608, 19490018, 9919743, 123859301, 28206469, 39566957, 147831668, 98016460, 134157481, 64731492, 98787651, 71103034, 109967989, 54557536, 172487214, 47535366, 84387194, 3383382, 26014536, 38680821, 6903960, 42624056, 98129014, 24879406, 6133535, 47381011, 42183583, 186294807, 65859867, 163526627, 33395442, 128955094, 125315560, 152204219, 131606927, 45165563, 94420609, 11128502, 5257902, 18300819, 70645494, 6787830, 287784309, 29962433, 51740064, 66280804, 19353368, 19249411, 48218976, 167155196, 61363746, 183263655, 32908317, 158250553, 145544882, 129853312, 26360257, 73828439, 28854300, 7492623, 33788022, 19222845, 107146911, 5232805, 29930575, 43573138, 6461659, 68055126, 6496455, 79870237, 64410245, 15381447, 105741688, 4327419, 14861593, 43313435, 271263108, 251741487, 31533926, 75624451, 27123554, 122260144, 12780855, 1778507, 18755309, 9219250, 91154044, 18157408, 32182005, 18566907, 6464083, 4241466, 59698275, 142619239, 54663602, 158189237 ], [ 192298432, 97085922, 91521943, 23371577, 78246905, 62394800, 6596723, 10728620, 9830850, 25782497, 126992149, 53470687, 97331153, 97544519, 57273016, 41794532, 35635354, 148363555, 125885120, 138673085, 29984501, 183131299, 54507159, 34088334, 15072477, 2979008, 70439458, 113179848, 85673659, 11550333, 182484876, 30479417, 130629805, 19490018, 32938728, 107832548, 180408215, 227919788, 10717759, 29271631, 66417865, 28262806, 186424101, 124972417, 20220556, 10151165, 74965175, 47535366, 212705378, 3148641, 26014536, 86665551, 25433287, 49755262, 98129014, 16027700, 179471924, 22511935, 11163758, 99788052, 43117440, 163526627, 11447161, 64196688, 77097147, 73314528, 131606927, 78631485, 94420609, 11128502, 65127504, 166078129, 10258276, 6787830, 105449809, 155075509, 52492171, 153382927, 2203688, 26225179, 34174321, 341375847, 248725069, 45077948, 35311319, 23136344, 32312309, 143590005, 9535770, 73828439, 28854300, 335344068, 23401976, 3022564, 107146911, 5229812, 29930575, 43573138, 107376721, 97615777, 6496455, 79870237, 22173503, 4432611, 165357810, 9475125, 4918247, 15969834, 106621987, 94194490, 53651415, 20229549, 225058530, 194919342, 14634462, 77874438, 123359600, 36215336, 39902837, 34438843, 7805551, 37227739, 6464083, 210475556, 306721294, 24325679, 29371016, 158189237 ], [ 73278332, 25627318, 91521943, 23371577, 25364599, 7829423, 81223123, 41655514, 11338106, 7538586, 151853792, 50368910, 42108825, 62368636, 54450694, 165226026, 49234396, 10250157, 12583314, 9059908, 29984501, 75952913, 54171904, 34088334, 15072477, 43176167, 60375896, 31043805, 4139590, 21147669, 2624770, 10552554, 92420806, 84314686, 9919743, 46329521, 63096266, 94666939, 9985536, 29271631, 19096358, 19729940, 98787651, 53333722, 6999984, 49281557, 29017454, 120103724, 72982258, 3383382, 7218830, 87331021, 31024540, 13392175, 75434714, 13555269, 3815868, 17350179, 18467388, 148545785, 22685670, 163526627, 33395442, 19368259, 45454837, 4770883, 60409268, 8920193, 108452794, 116416170, 5257902, 53928286, 36268364, 6787830, 198435522, 39739330, 356987931, 31146098, 29617518, 7071017, 34317290, 99339, 40525522, 114586700, 108957534, 21343236, 77761287, 103012952, 96707889, 54162744, 27326351, 7492623, 33788022, 19222845, 9963648, 5232805, 9904138, 43573138, 61075791, 30702354, 61104428, 79870237, 57685915, 171530700, 23335332, 6358199, 134366262, 43313435, 11775402, 254881093, 31533926, 13856660, 1254245, 152417019, 39482815, 40351438, 57860451, 9219250, 152824457, 34438843, 86046917, 37972774, 18803549, 47656435, 106926251, 24325679, 20784567, 8385885 ], [ 55347018, 25627318, 44059036, 23371577, 90234876, 49446834, 128875637, 2963064, 47429823, 204697655, 23458363, 5722016, 71615469, 216851006, 22708600, 153884091, 18518610, 50208565, 12583314, 30129492, 29848094, 32239716, 54507159, 16359691, 8151623, 2979008, 70439458, 113179848, 12039763, 21147669, 74979006, 73925885, 49821041, 83119062, 9919743, 41163899, 75183457, 12448949, 9985536, 64448995, 35609623, 30692901, 58433034, 53333722, 39598691, 8738751, 46963576, 121024101, 212705378, 3383382, 26014536, 70731309, 12789386, 87228224, 62917277, 9384533, 143709953, 57345974, 117841101, 148545785, 161689465, 121332639, 166247101, 10632748, 77097147, 4770883, 118868889, 116873020, 50326426, 11128502, 5257902, 107498003, 2585693, 272079305, 177618837, 114667303, 142157452, 153382927, 79283957, 26225179, 18134146, 69500849, 24766906, 45077948, 125033562, 23136344, 61208463, 77360045, 85715657, 73828439, 193157942, 7492623, 77572742, 18338361, 34102360, 5229812, 29930575, 43573138, 59450572, 68055126, 207472463, 121272567, 64410245, 51987558, 114672808, 7888706, 34469309, 43313435, 35164341, 61382297, 199589237, 18245555, 17980645, 6531870, 38471680, 37966319, 34084292, 9219250, 16999165, 34438843, 11660585, 277962867, 48791520, 78707398, 100424725, 121744304, 16026912, 4334444 ], [ 20984525, 184368527, 91521943, 23371577, 18044044, 7829423, 42086176, 265527414, 11338106, 25782497, 22907577, 7513621, 71615469, 13920403, 57273016, 83577482, 35635354, 44778422, 12583314, 116185144, 955235, 15266729, 46234467, 60238557, 85257387, 47168326, 109170396, 19528142, 10253003, 21147669, 29515901, 120073101, 21803608, 99614274, 9919743, 10986263, 16647119, 4617663, 42349679, 37153598, 102564747, 23370903, 74855174, 124972417, 14892945, 10914927, 10390315, 28538266, 59644782, 3383382, 12754147, 9413119, 25433287, 37635859, 74241463, 10654555, 151746381, 29619744, 11163758, 17090967, 177899296, 122701571, 33395442, 109120889, 51274772, 152204219, 69275328, 3498867, 6005507, 1346686, 5257902, 21000182, 104330210, 188268969, 46345473, 88044362, 8843613, 36564773, 2203688, 3907678, 38633454, 85794052, 24766906, 152145799, 17550679, 158250553, 192082432, 125779475, 9535770, 25591598, 28341117, 7492623, 112610509, 19222845, 15272083, 5229812, 9904138, 43573138, 6461659, 30702354, 30869059, 79870237, 21249530, 15381447, 84341113, 3152470, 44194059, 14415215, 35164341, 40822136, 22350346, 152283894, 44157666, 6531870, 39057825, 13721683, 142519476, 114107391, 39902837, 94962878, 96095434, 3131611, 57024768, 28506081, 7940278, 58157983, 11884234, 4334444 ], [ 52978092, 37049060, 40672129, 52262630, 86909672, 7829423, 29738778, 24065146, 9830850, 115940960, 30421189, 343617, 42108825, 75666424, 57273016, 10794703, 21648735, 68281884, 12583314, 12230160, 29984501, 3124335, 226998, 114373639, 24593890, 2979008, 9823384, 31043805, 4139590, 9811063, 59168358, 10552554, 62354086, 12880190, 9919743, 280867, 28206469, 39566957, 37541887, 29271631, 108687630, 39668587, 98787651, 24447404, 3020218, 805855, 46963576, 112003318, 84387194, 3383382, 22357590, 10030682, 6903960, 21802511, 74241463, 13555269, 45905306, 22511935, 2633345, 17090967, 121414083, 67375490, 33395442, 15008321, 70395739, 10783488, 24234743, 3934247, 7743794, 11128502, 5257902, 48853142, 26179740, 60270550, 81290111, 26211148, 29448859, 90102240, 13613715, 19249411, 48218976, 7369407, 24766906, 101110842, 39019290, 23974405, 30001796, 76525916, 16187715, 73828439, 51048637, 7492623, 37657526, 19222845, 64264847, 5229812, 40298243, 2380324, 93648340, 32328827, 109560073, 22447868, 24666249, 4432611, 48698374, 10148911, 52719948, 43313435, 11775402, 94194490, 31533926, 86645591, 42207456, 6531870, 12780855, 77874438, 14187457, 9219250, 1231057, 18157408, 12610673, 67476139, 85358323, 78707398, 7245518, 24325679, 33560528, 4334444 ], [ 2864940, 2003053, 80172431, 23371577, 136245013, 7829423, 71422953, 13630878, 11338106, 133691805, 56884539, 5992398, 71615469, 13920403, 59061080, 14632020, 73125700, 78537317, 44708668, 138673085, 69861726, 2645486, 19386708, 34088334, 101437440, 2979008, 17558543, 9294558, 4139590, 21147669, 14630227, 166527049, 92420806, 89471086, 9919743, 107832548, 70872510, 205129306, 11672916, 36700884, 26230473, 19494935, 98787651, 35428051, 37033709, 41088252, 11850627, 145062040, 79187697, 25673380, 26014536, 87331021, 51243350, 60988598, 98129014, 34775875, 9859852, 8221730, 11163758, 142015545, 2470016, 139633443, 4422346, 25038076, 745699, 152204219, 1387177, 20876282, 158975681, 11128502, 47738403, 104722467, 144387996, 28358421, 274679480, 58927636, 158458283, 18311943, 82139764, 19249411, 45404420, 19882501, 36793278, 152145799, 70291863, 13748793, 110419572, 66039121, 95843728, 73828439, 152840646, 7492623, 51216302, 37011971, 26139271, 5229812, 67645718, 43573138, 43066659, 16072804, 7321088, 69776941, 52840328, 12439658, 18154092, 109561272, 52719948, 145603465, 21777589, 94194490, 118274534, 152283894, 85591013, 6531870, 35124502, 77874438, 18755309, 40852146, 39902837, 68721987, 71665000, 36152426, 85358323, 14632000, 7245518, 41984020, 54663602, 4334444 ], [ 25459491, 39301225, 91521943, 74511019, 128094034, 95729574, 29738778, 10728620, 47429823, 8810117, 33741451, 74243328, 162302188, 265419661, 57273016, 127406295, 18518610, 28824799, 12583314, 67435443, 18691645, 418179, 54507159, 34088334, 8151623, 47168326, 70439458, 46274253, 34996821, 9811063, 182484876, 30479417, 21803608, 61066514, 62623214, 106027758, 140274632, 167833596, 9985536, 64448995, 188043164, 1668431, 29588573, 22429466, 239972320, 57930801, 46963576, 33027000, 98072960, 3383382, 26014536, 47954441, 6903960, 67955405, 74241463, 13802806, 55492492, 22511935, 4802336, 82513676, 43117440, 163526627, 33395442, 68155298, 8952830, 4770883, 85243657, 3934247, 17838234, 11128502, 5257902, 9282362, 26179740, 70945727, 303164168, 28364330, 46217550, 62078491, 10845223, 1081391, 204192014, 19213264, 24766906, 84607545, 132605470, 23136344, 61441404, 134674203, 52984891, 24002938, 15299479, 53922921, 17049686, 19222845, 24516914, 5229812, 29930575, 43573138, 6461659, 32328827, 86440025, 9498304, 64410245, 51432934, 69382357, 2904225, 113204229, 43313435, 35164341, 94194490, 31216632, 63579621, 17980645, 75181303, 12780855, 77874438, 82300461, 9219250, 1231057, 34438843, 146416411, 62204093, 82627888, 31309030, 277030582, 29646304, 91644311, 82023210 ], [ 42188445, 2248874, 57839839, 67991332, 136245013, 29709941, 18080651, 5290861, 31816588, 8810117, 33741451, 7287072, 84520594, 51057216, 61860283, 26238577, 138383869, 31630868, 12583314, 21811876, 69861726, 418179, 52292132, 34088334, 32404941, 20503570, 10281903, 109224622, 4139590, 9811063, 121676239, 70712698, 62576970, 12880190, 117974530, 87117737, 31600162, 125350875, 9985536, 36700884, 9727536, 1007825, 83889840, 38809696, 147259530, 8738751, 8899107, 145062040, 79187697, 3383382, 26014536, 14484371, 45328380, 26437765, 74241463, 13802806, 110766566, 22511935, 14648640, 153594327, 22719135, 387779, 1069082, 15008321, 30342613, 4770883, 10076911, 71913506, 94420609, 11128502, 5257902, 39351485, 26179740, 6787830, 142869674, 44492319, 44553678, 42159915, 24397799, 7071017, 49030490, 99339, 24766906, 152145799, 32908317, 23136344, 59257350, 65859679, 16187715, 73828439, 1357031, 162773990, 33788022, 3492989, 15272083, 5229812, 9904138, 5129068, 39225785, 30702354, 61104428, 22447868, 51029709, 32481380, 76955315, 10148911, 52719948, 43313435, 7958284, 44889348, 26595740, 143970678, 17980645, 6531870, 157498963, 37966319, 14187457, 9219250, 3198598, 77706648, 67511127, 27178399, 6464083, 4241466, 104069106, 97179135, 54663602, 4334444 ], [ 24175356, 97085922, 91521943, 52262630, 96333112, 212051134, 5481880, 10728620, 11338106, 72503539, 107526479, 7287072, 1954083, 139188545, 40465585, 9216382, 206066800, 31630868, 12583314, 22213898, 62331210, 32239716, 52292132, 9485000, 32404941, 2979008, 17558543, 61359642, 4139590, 10611186, 7667555, 125103410, 31156390, 57997953, 45795359, 180270267, 78265624, 94981046, 11672916, 36700884, 56845272, 30692901, 204536176, 81377848, 39853586, 57317810, 46963576, 39450044, 463223, 3383382, 26014536, 14484371, 5858647, 28863318, 17366602, 86751626, 19594764, 76086946, 38478205, 17090967, 49817942, 115441632, 28024484, 89509321, 72999968, 23458859, 10076911, 116873020, 91629291, 11128502, 5257902, 39351485, 2585693, 10700230, 64458260, 155075509, 142157452, 10574149, 19353368, 19249411, 18134146, 19882501, 24766906, 59730645, 29354841, 19810342, 9128680, 90617439, 16187715, 73828439, 152840646, 120288385, 53437484, 19222845, 62289908, 55338997, 9904138, 43573138, 209342124, 30702354, 56615439, 20304979, 64410245, 32481380, 77790835, 10148911, 13569959, 43313435, 35164341, 14108341, 31533926, 18245555, 96593127, 3457816, 303024978, 77874438, 65691383, 9219250, 656225, 11520981, 32182005, 67476139, 404095830, 78707398, 37146098, 97179135, 54663602, 8385885 ], [ 63235793, 84604399, 9024081, 67991332, 15731160, 7829423, 182108133, 130453420, 11338106, 71013518, 10843404, 175776695, 4845866, 13920403, 22699255, 16231324, 96174898, 69607594, 9082604, 17176668, 20928100, 132897899, 23373571, 85807530, 5494109, 43176167, 6116066, 8874972, 19995754, 9350290, 96166615, 78243122, 92420806, 86940824, 9919743, 89765404, 31843060, 27945897, 10717759, 7229983, 14710611, 126838372, 98787651, 4834082, 239972320, 96568712, 90365535, 36292908, 53143028, 132453294, 93775432, 42625150, 51243350, 6119932, 47110452, 13802806, 133962301, 6044690, 2336975, 16330527, 51899809, 48287149, 38504136, 56268860, 28367226, 13228569, 131606927, 20415488, 158975681, 75709387, 34521124, 6038789, 18700353, 118429636, 20588532, 94579031, 45541313, 140897611, 111732904, 29330623, 72730439, 109461128, 3065972, 23507974, 38854426, 41558367, 84411600, 143590005, 65388459, 38407919, 142284667, 7492623, 14998089, 19222845, 102173972, 5229812, 21256336, 43184542, 110766261, 9350717, 144531797, 22447868, 5384583, 4432611, 18629613, 51518450, 92311772, 50370966, 53383890, 49044164, 41534738, 3705058, 38293988, 31420260, 14634462, 77874438, 241958752, 99548157, 24346444, 56011702, 10094996, 14794339, 37065960, 81750393, 431426, 45892593, 23700203, 7482254 ], [ 7735612, 83328899, 91521943, 70080875, 57868309, 7829423, 29738778, 24077093, 257775000, 280269153, 74497494, 69354034, 12711568, 31447559, 38593052, 11438991, 40855158, 60202658, 2933358, 24146999, 29984501, 46042705, 45201766, 34088334, 101437440, 21434280, 49642685, 46274253, 4139590, 21147669, 145809542, 9752379, 130629805, 61760852, 9919743, 56601087, 89979232, 93099442, 101985572, 26723723, 8954586, 39668587, 49905013, 124972417, 4912396, 8738751, 17412049, 111009331, 113803695, 85786520, 26014536, 20533016, 26016639, 21139736, 98129014, 41706752, 36801704, 1194461, 18673323, 16330527, 75983765, 10573887, 33261372, 36769191, 39293493, 9567324, 9199391, 3190470, 82568956, 11128502, 22704879, 14339896, 43998752, 9183287, 105449809, 25585962, 210188509, 92990750, 24397799, 19249411, 76332171, 48006655, 30938246, 23576199, 150650394, 23136344, 134580896, 9366299, 35901352, 73828439, 116533355, 7492623, 23401976, 85389125, 60854711, 5229812, 44055985, 38598650, 142714957, 32328827, 11995893, 25682850, 22173503, 32618036, 29603894, 85782824, 100143768, 36150303, 26093144, 37116579, 8198026, 85383498, 1957091, 42725679, 51106708, 37966319, 4778538, 9219250, 39902837, 83135938, 7805551, 54314133, 2419498, 78707398, 10911878, 102896638, 13486249, 82023210 ], [ 139991059, 97085922, 73804843, 117570808, 136245013, 7829423, 157367015, 43097201, 248123826, 69172837, 151853792, 45332816, 71615469, 286834260, 22090208, 160913014, 134689134, 17664931, 32981708, 49244704, 17088587, 31372555, 54507159, 524879674, 4836413, 43176167, 8025753, 10496250, 85673659, 21147669, 50069238, 70712698, 130629805, 19490018, 9919743, 235801340, 85660278, 57334979, 110155120, 109689335, 129236485, 16462513, 98787651, 124972417, 239972320, 181581527, 17412049, 34292447, 83416294, 85786520, 26014536, 452054313, 174860445, 120810932, 98129014, 20874364, 179471924, 164215030, 412715695, 123626732, 297374151, 163526627, 166247101, 74046888, 172392454, 152204219, 97445803, 146382436, 90734652, 11128502, 140177897, 164994417, 104330210, 12467909, 20588532, 116247650, 405532430, 107258897, 71669074, 77867070, 217759790, 176068714, 205135835, 183263655, 371790041, 137300071, 172479042, 143590005, 79455945, 12571273, 28854300, 7492623, 53375586, 19222845, 264493512, 5232805, 126776090, 3374612, 272014843, 91173177, 202764377, 549724080, 64410245, 241828443, 97641606, 77268489, 52774061, 43313435, 11261624, 122732191, 31533926, 51741633, 1250663, 70427007, 100399070, 77874438, 142519476, 9219250, 54561493, 76513812, 113865562, 76350134, 6464083, 69537398, 191132229, 114723676, 91116045, 158189237 ], [ 7735612, 22536511, 91521943, 74511019, 25910147, 7829423, 138825044, 130453420, 47429823, 71013518, 42522121, 55136879, 71615469, 28217200, 57273016, 13927614, 18518610, 27633102, 5312691, 128972561, 27516842, 144833982, 54507159, 34088334, 8151623, 43176167, 7304708, 8874972, 4139590, 9811063, 34469220, 28857644, 40351150, 33356123, 9919743, 100200947, 85660278, 34814590, 109868081, 98848060, 188043164, 44975384, 49905013, 15504371, 7150152, 69048485, 17412049, 5528881, 67514106, 101081493, 26014536, 38680821, 12789386, 21139736, 47110452, 13802806, 163470666, 22632365, 14648640, 70766051, 39958848, 48287149, 38504136, 48164330, 25872681, 11988064, 110304335, 15472893, 36603489, 11128502, 81048222, 74939717, 26179740, 9183287, 20588532, 76258876, 67208894, 4232416, 17731912, 19249411, 76332171, 48006655, 24766906, 131598524, 12184028, 23136344, 143989921, 125779475, 22866251, 73828439, 254662965, 7492623, 196627590, 19222845, 15272083, 61525932, 29218734, 43184542, 76326658, 148252258, 77385204, 22447868, 46753859, 33373381, 12351580, 42055225, 3435798, 16500462, 35164341, 48503409, 8198026, 85383498, 1250663, 123837246, 52154570, 58634014, 14187457, 9219250, 24346444, 11520981, 10094996, 54314133, 39191907, 4241466, 146296399, 33144817, 54663602, 82023210 ], [ 1420552, 73957937, 9024081, 96833695, 136245013, 7829423, 61552437, 112408125, 91613193, 73604414, 119367130, 74243328, 64193020, 177384777, 50053741, 52926680, 71065416, 10053466, 36344461, 17996297, 4020602, 37343791, 48133062, 34088334, 15072477, 3571107, 121964376, 42662983, 36979083, 9811063, 92938946, 120073101, 130629805, 54906426, 9919743, 23372866, 15948992, 98423869, 131021875, 123900511, 56845272, 39668587, 88954935, 93323456, 118888339, 10151165, 17412049, 145062040, 123076790, 46651958, 26014536, 35578335, 77778164, 30370019, 29920832, 13802806, 157109247, 193275041, 14648640, 136370792, 64474081, 66740757, 48153480, 47980771, 189214701, 8767110, 110304335, 20876282, 92227861, 11128502, 25442582, 6038789, 26179740, 85285780, 56088204, 116247650, 11894363, 93790243, 83754787, 10251915, 38633454, 73455007, 41419372, 26791723, 294610782, 23136344, 49470779, 3023850, 34164230, 73828439, 17324566, 7492623, 23401976, 19222845, 60854711, 25973217, 31812472, 43573138, 119663087, 9350717, 138193814, 22447868, 22173503, 75286142, 37761538, 66743824, 74355201, 131190283, 35164341, 27641439, 37657358, 79397894, 87194852, 32124993, 15882741, 9524705, 14187457, 87516012, 19888394, 7755034, 7805551, 19332191, 34312063, 14809928, 2683589, 2903821, 34395922, 20795764 ], [ 32100356, 10182332, 26008218, 74511019, 125013236, 7829423, 100826846, 26579151, 47429823, 29961231, 86101458, 3351925, 49913920, 42278554, 44876244, 54961258, 18518610, 73411069, 6224232, 38983859, 41066564, 46042705, 54507159, 34088334, 8151623, 47168326, 74057768, 211536887, 32958967, 21147669, 15373349, 16301216, 13192576, 528225, 90729572, 180270267, 1959307, 85393402, 67670843, 41536855, 85422202, 24913747, 49905013, 107106667, 7150152, 10151165, 17412049, 100859830, 34386307, 60223950, 172818549, 58088469, 12789386, 21139736, 17366602, 10654555, 177760154, 57345974, 14648640, 76296869, 26372136, 19481477, 84897283, 6921616, 18690884, 91975342, 107754139, 102854649, 50326426, 11128502, 52370119, 53422864, 17501066, 6787830, 105449809, 1314150, 142157452, 201735634, 95255415, 108979105, 124469519, 156045941, 24766906, 62624780, 154857054, 23136344, 143989921, 40006518, 47087107, 12571273, 8860189, 114032897, 23401976, 19222845, 97838497, 173958130, 75069343, 3374612, 21718788, 32328827, 61104428, 16133103, 22173503, 31953966, 165357810, 77268489, 18420700, 128093042, 35164341, 30133278, 31533926, 15443491, 86389989, 121173633, 303024978, 77874438, 14187457, 309609885, 71714028, 133223845, 7805551, 54314133, 8146053, 62255495, 220787807, 63663978, 101640432, 59478609 ], [ 153523693, 97085922, 23163493, 74511019, 136245013, 7829423, 10093058, 62667801, 40835386, 26310677, 5736725, 61389623, 8799657, 18650185, 7507939, 10940638, 18518610, 44778422, 7011872, 98680783, 36346274, 46042705, 12829848, 3483270, 8151623, 32464945, 17558543, 41069549, 4139590, 8052953, 90105736, 23757725, 102673096, 10967976, 9919743, 22598478, 51985540, 55391346, 12733819, 16856511, 85422202, 7085415, 98787651, 84396464, 112478760, 10151165, 83720426, 2912447, 17394736, 37487917, 26014536, 10030682, 12789386, 49755262, 17366602, 10654555, 146515854, 7865970, 14648640, 44264287, 17879602, 76055172, 156793454, 48164330, 161047259, 8767110, 36041278, 77917987, 50326426, 11128502, 23577725, 57092899, 24167587, 9183287, 20588532, 50971989, 111702866, 10574149, 17731912, 14227771, 63067499, 22269479, 36793278, 152145799, 77989469, 23136344, 205293431, 33362926, 16187715, 7281866, 101744322, 7492623, 11053188, 80231781, 61977063, 8684039, 9898363, 43573138, 55027938, 30702354, 32240714, 159796373, 22173503, 12621238, 12463197, 13640795, 15897088, 61721718, 35164341, 132307785, 19506101, 7933057, 90098022, 74264414, 35140652, 77874438, 7854709, 34680035, 162226585, 7393291, 7805551, 70696169, 44572702, 20809248, 169299943, 1832243, 54663602, 158189237 ], [ 24118690, 30243011, 91521943, 22218354, 136245013, 126616757, 78389535, 3064932, 47429823, 15423133, 69537167, 45035748, 71615469, 40591828, 44876244, 13927614, 26474419, 7276142, 67004930, 38983859, 29984501, 118009155, 18103815, 34088334, 6806183, 17651129, 60375896, 57142535, 9297372, 9811063, 92691441, 25499364, 94816232, 27566182, 9919743, 22598478, 4289144, 53911776, 15507445, 48807174, 36774646, 9182292, 88209543, 744442, 28107370, 181581527, 17412049, 36143604, 101150932, 2414303, 68774826, 70312845, 200607291, 11660676, 36381190, 13802806, 62455482, 8221730, 14648640, 103803552, 106226607, 14572170, 10055390, 27627406, 88378172, 23458859, 2235822, 3498867, 6538435, 11128502, 13627346, 128499382, 26179740, 30769912, 19206249, 2188794, 9697727, 36564773, 17731912, 10251915, 1842598, 97212073, 24766906, 45077948, 81104602, 23136344, 175526994, 26708414, 24856150, 5362144, 17324566, 7492623, 26591430, 19222845, 20286424, 44430424, 9233647, 16829863, 16667125, 22731966, 69228354, 22447868, 52891937, 51432934, 108598905, 73717315, 15897088, 39695945, 35164341, 81933308, 60361613, 29328611, 42274144, 41276921, 123319598, 45667565, 14187457, 285305, 1231057, 51565532, 53923074, 34677515, 97906303, 1264245, 133945209, 29646304, 29518243, 10498243 ], [ 36165227, 43079110, 40060187, 67095733, 33277103, 7829423, 157367015, 130453420, 35298785, 60498469, 53345374, 74243328, 84520594, 56685224, 110893269, 13927614, 73125700, 7423334, 51287163, 56392526, 153597834, 272752601, 10414572, 34088334, 31594113, 43176167, 135981032, 46274253, 36979083, 8052953, 53289300, 25499364, 114293786, 84343562, 90729572, 108766884, 52331229, 331627836, 210478805, 48807174, 85422202, 7085415, 262836346, 744442, 7150152, 96568712, 17412049, 52494061, 187776720, 85786520, 15967181, 87331021, 111822348, 29890258, 17366602, 13802806, 48212736, 10537101, 14020716, 100054203, 90605921, 76055172, 4768315, 74046888, 21493043, 8767110, 3148072, 20876282, 46744768, 11128502, 22704879, 15950084, 26179740, 925201, 20588532, 3175293, 39107390, 10911108, 25404180, 125221924, 80116042, 65197814, 96843841, 26791723, 77989469, 4804257, 102948087, 33362926, 47087107, 73828439, 81062078, 89234619, 8702321, 23646737, 76137438, 134610645, 124503403, 15323433, 76326658, 12693461, 32240714, 22447868, 24647141, 6670334, 93236469, 220411406, 57403827, 73543678, 35164341, 132307785, 31533926, 43839952, 129748196, 73838199, 69246407, 71561743, 20749786, 21557371, 23733196, 11520981, 58202622, 76350134, 10839648, 78707398, 65611505, 44593846, 202848287, 33476469 ], [ 63235793, 37850569, 40672129, 74511019, 33277103, 48019938, 53356002, 3732382, 47429823, 6169161, 49076891, 45727654, 8799657, 35479818, 906156, 21736456, 113041, 33905489, 21654249, 128972561, 9980320, 37343791, 54507159, 34088334, 8151623, 43176167, 9823384, 41584379, 4139590, 9811063, 127620502, 37810237, 38894537, 134182333, 9919743, 15893949, 85660278, 90589342, 182399285, 101321538, 33379883, 44975384, 49905013, 7675153, 57221722, 9479778, 17412049, 5528881, 106526601, 46651958, 50701604, 10030682, 12789386, 30370019, 9288682, 10654555, 77833377, 7865970, 14648640, 19500828, 67312468, 18065478, 38504136, 48164330, 35286264, 23458859, 110304335, 20876282, 48239452, 11128502, 22892391, 57370478, 26179740, 60270550, 6876818, 154794640, 75105021, 51623803, 17731912, 19249411, 142244405, 100430043, 24766906, 36206118, 34677021, 23136344, 49470779, 45723755, 8309880, 73828439, 56060848, 7492623, 8702321, 19222845, 93777359, 62298624, 37058424, 15323433, 119663087, 40448676, 19456083, 22447868, 33741118, 28666453, 38142407, 40136533, 15897088, 33191997, 10134800, 226988158, 31533926, 66142579, 93898343, 94846634, 161519218, 34240579, 14187457, 9610652, 24346444, 83135938, 74399962, 46444097, 40371729, 78707398, 18070794, 72108815, 54663602, 81159617 ], [ 125796239, 132022897, 43139594, 26349615, 136245013, 61857309, 157367015, 237504888, 47429823, 26310677, 119367130, 17470031, 84520594, 2149171, 4724026, 3329384, 3977840, 10053466, 32798120, 9638358, 241155766, 46042705, 32609310, 34088334, 31594113, 47168326, 10281903, 41069549, 22297431, 21147669, 145809542, 76828818, 13192576, 84314686, 22427269, 51382419, 14392426, 311384949, 12733819, 76843743, 71917126, 17280545, 84751845, 70581632, 73587350, 109407790, 46963576, 145062040, 162008040, 85786520, 68338739, 53121040, 141616975, 67955405, 74241463, 10654555, 75648262, 66804770, 14648640, 31897130, 33802929, 44342411, 229138037, 48164330, 16595188, 23458859, 76180890, 59124870, 63046026, 11128502, 2459046, 104722467, 104330210, 250857, 132509205, 277775055, 142157452, 60945208, 95255415, 108979105, 49030490, 65197814, 6244249, 41489736, 48897944, 23136344, 131190754, 33878282, 52984891, 73828439, 4822408, 233105661, 100685828, 19222845, 74352903, 8684039, 37119810, 43573138, 90706319, 32328827, 49783094, 14270946, 42410573, 88710090, 100948659, 150049881, 160122026, 2577731, 35164341, 356369154, 31533926, 240288566, 61107429, 13069568, 303024978, 77874438, 6292514, 184465594, 52739310, 162527854, 5283439, 146585796, 7194354, 20809248, 11770568, 20503729, 6898266, 61077805 ], [ 77007136, 22529708, 40672129, 3353442, 33277103, 48019938, 99240994, 92093921, 47429823, 4869634, 7130805, 45727654, 71615469, 207228724, 38593052, 116345367, 27693355, 52621982, 29478823, 56392526, 48757041, 118009155, 35857754, 34088334, 116257715, 11385116, 70770936, 75995835, 32498744, 9811063, 77427481, 12728515, 46032253, 116435759, 9919743, 9038400, 30742262, 62656229, 182399285, 35742789, 74292363, 44975384, 98787651, 42363990, 125298522, 32827407, 17412049, 5528881, 22819305, 52133795, 26014536, 10030682, 210740934, 44863282, 74241463, 557991, 32519697, 8221730, 14648640, 19500828, 47446923, 74292793, 10055390, 18261579, 35286264, 137077539, 131606927, 81020045, 222297949, 11128502, 22704879, 136601012, 26179740, 7409211, 20588532, 306505824, 142157452, 19885953, 63843991, 38459957, 45404420, 100430043, 24766906, 97715765, 44399837, 23136344, 192082432, 34969278, 48669013, 26076786, 3191423, 7492623, 8702321, 19222845, 60854711, 70248969, 47340093, 15323433, 43128329, 40448676, 19456083, 22447868, 4503851, 28666453, 119293810, 28337482, 47583747, 24565819, 3663887, 219595843, 19506101, 81818262, 108892514, 74264414, 126226810, 71561743, 14187457, 133903064, 24346444, 94962878, 51613150, 33183095, 140930488, 78707398, 68821572, 49757387, 24949431, 36062939 ], [ 150014733, 97085922, 91521943, 64949304, 125013236, 88044602, 23727654, 21421901, 11085454, 280269153, 41492799, 17470031, 172400118, 75666424, 53878975, 102844704, 15001742, 47149344, 44411512, 28941804, 51957605, 59453734, 10223332, 34088334, 15072477, 14229681, 153865797, 8195034, 36979083, 9811063, 90105736, 6842294, 66123117, 12077847, 22427269, 17474385, 48386358, 34814590, 86884185, 135527189, 73803593, 17280545, 49905013, 124972417, 56922905, 5564078, 17412049, 98960917, 101150932, 52573275, 13628816, 46688464, 57723221, 30067172, 17366602, 10654555, 177760154, 6044690, 14648640, 31897130, 64474081, 36190378, 6930073, 16231587, 28367226, 8767110, 9903185, 145775777, 63046026, 11128502, 140177897, 6038789, 5485497, 118429636, 20588532, 25558206, 48906753, 90102240, 95255415, 26225179, 76332171, 139036473, 24766906, 15235912, 5633180, 23136344, 42499743, 15301898, 101878263, 5362144, 159388357, 74765455, 120418407, 5483916, 97838497, 37411357, 29218734, 43573138, 8006431, 29132823, 97686350, 22447868, 11205384, 88710090, 116914776, 115479565, 94978857, 6373325, 35164341, 159757319, 57870099, 24708084, 93898343, 13069568, 162901039, 77874438, 14187457, 116940943, 11892062, 14261164, 11023685, 76350134, 103093004, 30294394, 40782327, 211491767, 33579362, 54727878 ], [ 63758431, 41503497, 154190, 2195992, 3882449, 7829423, 17837375, 90451216, 469213665, 145438016, 108937825, 58141178, 71615469, 177384777, 208835143, 13927614, 79056337, 68281884, 33323390, 138673085, 274219147, 46042705, 54507159, 7503219, 32404941, 104356894, 137151607, 19528142, 65657951, 21147669, 3901026, 125103410, 130629805, 65706215, 9919743, 229234350, 111460753, 107094013, 81017756, 187758795, 85422202, 39668587, 98787651, 24447404, 4912396, 181581527, 47033717, 54676401, 181377874, 85786520, 26014536, 20533016, 28551907, 72089465, 16043503, 10654555, 177760154, 6044690, 14648640, 186451887, 64474081, 145633933, 166247101, 48164330, 28367226, 61727394, 107754139, 87708302, 26803841, 6339378, 47738403, 27231909, 104330210, 9183287, 8301896, 64315384, 115312267, 176216109, 52221027, 49279826, 8863256, 180617129, 292099884, 26410859, 210145180, 23136344, 6180455, 65933766, 52984891, 1660998, 191962791, 7492623, 35881988, 19222845, 62289908, 89462776, 95915745, 21550110, 30519431, 8258553, 30869059, 6227883, 37542637, 118641848, 64625936, 10148911, 160122026, 145603465, 35164341, 23382534, 31533926, 32525938, 12534629, 139511533, 39972636, 2273975, 14187457, 36858617, 162226585, 94962878, 60412429, 69802303, 142662399, 20476368, 121871649, 267060175, 33560528, 158189237 ], [ 24568957, 14448413, 21330488, 71795229, 40924872, 21323508, 81223123, 680037, 135195683, 217951621, 138466135, 74243328, 71615469, 95876299, 91500278, 13927614, 100807348, 13983601, 45008831, 128972561, 29984501, 46042705, 54507159, 27817322, 81649881, 153322108, 79781033, 116626588, 4139590, 9811063, 39946577, 51657916, 39949637, 64816625, 9919743, 56601087, 148641837, 113027044, 123466888, 101321538, 108687630, 8804736, 49905013, 119808542, 239972320, 72681927, 17412049, 5528881, 58222733, 43239813, 26014536, 10030682, 111869230, 107191882, 98129014, 2284701, 98932246, 71019915, 36413728, 79400751, 386062655, 97305873, 33395442, 57812547, 14519378, 74830968, 101831917, 11729070, 45906995, 8937545, 81048222, 104722467, 26179740, 60270550, 122365008, 76258876, 172998400, 107055693, 17731912, 19249411, 169553754, 12333974, 78795499, 3871756, 77254106, 23136344, 143989921, 143590005, 5931870, 73828439, 418431624, 7492623, 80105262, 19222845, 198067280, 147860301, 5674697, 5924404, 27524355, 32328827, 153717756, 22447868, 64410245, 28666453, 40480152, 117307741, 15897088, 55990207, 12821873, 48503409, 8198026, 80205185, 27123554, 164839428, 16616665, 77874438, 64280823, 36858617, 24346444, 72258629, 105648214, 67476139, 99578326, 78707398, 28732894, 83876077, 54663602, 158189237 ], [ 157055566, 75324996, 91521943, 187837751, 25910147, 7829423, 173796910, 147990197, 321659624, 71013518, 42522121, 16177589, 57465384, 70089899, 124769759, 13112516, 1007187, 5638176, 5312691, 88379036, 69861726, 31372555, 54507159, 151373487, 79409986, 153322108, 65532816, 152939095, 4139590, 21147669, 183248459, 72039979, 115126403, 198676590, 9919743, 107832548, 204818229, 273548224, 163467739, 135527189, 188043164, 44975384, 84011763, 23136720, 239972320, 128919582, 17412049, 71391622, 279743123, 160599912, 271342653, 128257190, 60377423, 97624817, 98129014, 61979455, 163969303, 22587053, 83837901, 221127417, 386062655, 163526627, 166247101, 48316575, 3707810, 114734156, 3148072, 292024064, 163030879, 11128502, 27076974, 6038789, 146047336, 60270550, 187080059, 116247650, 651013152, 103806670, 151863899, 19249411, 240245351, 180617129, 40305605, 99854249, 12184028, 4804257, 134580896, 78878963, 41994354, 151293726, 190449205, 7492623, 308866211, 19222845, 62289908, 5229812, 113461032, 43573138, 76326658, 49412346, 22953946, 300018261, 64410245, 65413441, 18629613, 42055225, 160122026, 145603465, 35164341, 94194490, 98022573, 152283894, 108892514, 194919342, 69246407, 77874438, 20749786, 36858617, 39902837, 83135938, 10094996, 149409100, 141887754, 78707398, 3881236, 141175723, 54663602, 12517399 ], [ 6925873, 13262061, 9024081, 134149043, 25910147, 38081745, 4982914, 92093921, 11338106, 14945151, 16805950, 15642840, 95205669, 39175709, 6765282, 33243374, 76141940, 65578693, 51287163, 10821276, 36346274, 142843678, 4717933, 21110622, 13678015, 3571107, 21411267, 14600187, 36979083, 9811063, 127934384, 30479417, 21803608, 15984448, 282226240, 22598478, 1550606, 181964479, 20088130, 6125682, 22787970, 7658704, 69677418, 744442, 100628366, 10151165, 2262424, 5528881, 212705378, 40251806, 23889167, 10030682, 117148898, 49755262, 17366602, 13802806, 62931609, 29523115, 14648640, 68004472, 64474081, 97305873, 28379598, 19937683, 18890193, 22235547, 57995239, 20876282, 40194446, 11128502, 1267708, 6038789, 26179740, 20330484, 7722635, 61456097, 39107390, 62078491, 95255415, 23045884, 55300683, 176068714, 24766906, 26791723, 48897944, 23136344, 94801453, 104877375, 35901352, 21237389, 27326351, 190433451, 8702321, 425153, 60854711, 5229812, 10201668, 5293192, 110766261, 9350717, 71126994, 20441678, 22173503, 2842731, 18629613, 150049881, 100143768, 158109449, 7114101, 63829230, 7114972, 62647959, 40955878, 100859793, 27405413, 50231375, 14187457, 116940943, 18050038, 51565532, 7805551, 212739715, 17619676, 31309030, 74621554, 4746681, 8438163, 1443833 ], [ 20355458, 97085922, 48196175, 62013057, 90407784, 47496524, 4982914, 9220767, 248123826, 113450913, 73038766, 69354034, 8799657, 63070458, 190577595, 3329384, 3977840, 1320109, 51287163, 131129715, 29984501, 83701255, 33784157, 34088334, 45290803, 46559750, 9823384, 19528142, 101659, 21147669, 114118513, 61524063, 130629805, 15439603, 9919743, 15893949, 1550606, 239543388, 111586645, 30316975, 9632481, 16703260, 11857120, 31729663, 64752434, 33854188, 2262424, 36292908, 79187697, 40731773, 26014536, 35578335, 161036725, 21139736, 45390288, 86751626, 23218185, 7865970, 18673323, 77446354, 192823254, 14934947, 32872819, 32744536, 85011291, 23458859, 9199391, 313465, 65801535, 11128502, 1267708, 104722467, 24725394, 60270550, 22431207, 76258876, 155904779, 144514559, 36898656, 19249411, 93394030, 629887, 54757914, 36670789, 131501084, 7244825, 6116429, 105714985, 97657349, 21237389, 41389283, 7492623, 53375586, 19222845, 15959170, 5229812, 63753642, 43573138, 165755294, 28179107, 25951523, 79870237, 64410245, 98931042, 165357810, 67604262, 16100879, 43734632, 69253081, 48503409, 8198026, 30399646, 34900327, 112822413, 10655837, 9524705, 221657, 134045925, 39902837, 83135938, 51721409, 54314133, 42386113, 81277898, 97671592, 110159101, 54663602, 19928557 ], [ 39144396, 97085922, 64956508, 106844904, 31106996, 42600000, 138825044, 92093921, 11338106, 73604414, 119367130, 20146360, 13688128, 75666424, 33785243, 9573419, 13261779, 19005927, 51287163, 40299525, 185887861, 26235203, 48029625, 34088334, 32404941, 7024008, 100032918, 46274253, 85673659, 21147669, 110065119, 4023131, 11560017, 15439603, 9919743, 22598478, 89979232, 147319815, 9985536, 26723723, 9632481, 7658704, 51523721, 107106667, 9766565, 8738751, 8870436, 33027000, 17915691, 52133795, 84309054, 68522421, 45328380, 243158407, 74367041, 11735842, 20917968, 3068907, 14648640, 85070222, 405622550, 46481541, 14021903, 32408600, 27136810, 4770883, 7457762, 20876282, 110738727, 11128502, 81048222, 48401055, 104330210, 269639446, 137842755, 76258876, 210188509, 62078491, 19353368, 186873514, 47529815, 13126700, 275729877, 84715179, 132605470, 23136344, 79619066, 67722538, 16187715, 269017369, 116648491, 7492623, 47854487, 2731814, 46671190, 35043772, 1644898, 37320505, 42100404, 63975941, 128241275, 25682850, 64410245, 2842731, 14233182, 119415, 124385046, 225433962, 35164341, 44357872, 8198026, 72098003, 1957091, 85561760, 258865594, 7845512, 14187457, 41434969, 34455431, 51565532, 16466124, 10863331, 85358323, 20121064, 12114064, 34901037, 57156642, 8385885 ], [ 6925873, 97085922, 82630026, 187837751, 31462062, 7829423, 51637943, 294241364, 134739930, 71013518, 33741451, 74243328, 86848865, 39175709, 50053741, 13112516, 123300023, 148363555, 8188523, 564141, 95957413, 118733205, 33784157, 34088334, 79409986, 43176167, 70770936, 82291641, 67213595, 230795918, 145809542, 241892447, 28190702, 120120523, 22724694, 22598478, 204818229, 158777903, 86884185, 94852892, 177216416, 212665617, 49905013, 124972417, 91602753, 181581527, 211930471, 71391622, 120710884, 101081493, 9640565, 87331021, 47589363, 53591605, 98129014, 10654555, 177760154, 27824386, 14648640, 82513676, 144405045, 163526627, 106747894, 48164330, 166175248, 23458859, 42580385, 3498867, 22680732, 11128502, 236606172, 22631965, 73522015, 9183287, 55101405, 116247650, 13606958, 36564773, 19353368, 6596936, 152938500, 156045941, 166346440, 26791723, 210145180, 2005353, 143989921, 143590005, 35901352, 73828439, 190449205, 114032897, 69448589, 19222845, 15959170, 267409971, 44055985, 43573138, 8006431, 81208466, 22953946, 79870237, 35503196, 137020445, 85650521, 2904225, 100143768, 43734632, 35164341, 26274145, 326128610, 31382905, 93898343, 188123559, 7278096, 77874438, 14187457, 210061365, 29427409, 51565532, 10094996, 43723694, 142662399, 78707398, 74621554, 1832243, 57156642, 12517399 ], [ 82816544, 2112392, 48196175, 264955452, 102196809, 47496524, 149066583, 35835063, 47429823, 16677736, 33741451, 20146360, 1740566, 43984272, 6765282, 21736456, 40855158, 65578693, 51287163, 138673085, 181873270, 170042388, 7097485, 34088334, 84389921, 43176167, 9823384, 325756812, 76359619, 21147669, 2500731, 30479417, 130629805, 2663105, 9919743, 15893949, 1550606, 90589342, 86884185, 15812072, 9632481, 34708374, 49905013, 67110770, 133202078, 15677663, 2262424, 33815327, 38244609, 40731773, 26014536, 38680821, 42336102, 67955405, 16917306, 20918094, 69399563, 7865970, 11163758, 77446354, 200220419, 87534196, 7898124, 59464778, 85011291, 23458859, 69275328, 3498867, 142922705, 11128502, 1267708, 12631605, 56955854, 205637626, 55101405, 29962433, 142157452, 36564773, 44841138, 11209908, 66369083, 30477930, 23236782, 11030137, 32908317, 23136344, 143989921, 104877375, 121733072, 21237389, 6810807, 7492623, 196627590, 897335, 15959170, 5229812, 126776090, 6700497, 8006431, 43131140, 31953348, 13573695, 49783245, 98931042, 165357810, 112277713, 22417381, 43734632, 35164341, 94194490, 19902972, 135499540, 103804387, 36216092, 27405413, 77874438, 45681510, 134744943, 19888394, 51565532, 16466124, 50089333, 17832662, 4241466, 97671592, 49757387, 137822556, 19928557 ], [ 34619425, 97085922, 73804843, 41152116, 136245013, 7829423, 177470739, 43097201, 109944175, 105826395, 97794213, 79647453, 45110786, 304926114, 200948923, 2714189, 193818367, 148363555, 68485894, 49244704, 123283968, 31372555, 48133062, 227565157, 100494850, 335954332, 65532816, 10496250, 42593367, 21147669, 96758988, 48525486, 108507156, 103716003, 9919743, 60065583, 111075974, 57334979, 9985536, 42639430, 188043164, 39668587, 98787651, 203143415, 7150152, 120559850, 17412049, 109368446, 123316457, 160599912, 26014536, 87331021, 161036725, 27015611, 857735298, 538913880, 23314195, 251904208, 14648640, 34407719, 69123693, 163526627, 166247101, 48164330, 180005608, 4770883, 97445803, 20876282, 158167240, 251623285, 18298946, 515085340, 43998752, 132072151, 144697420, 15697216, 304789851, 23355992, 73492671, 185478415, 240245351, 610156225, 144419362, 14250187, 371790041, 23974405, 148434272, 143590005, 39727725, 73828439, 97312249, 7492623, 21981095, 118221284, 167333828, 141875621, 242640728, 43573138, 181012778, 32328827, 279430042, 247321818, 95855816, 231127484, 97641606, 119275374, 63114952, 75763846, 35164341, 254881093, 364340403, 129512264, 17980645, 339866824, 269228986, 13997662, 14187457, 88947068, 162226585, 94962878, 89250886, 237496196, 85358323, 69537398, 60828369, 4623602, 116591466, 202311234 ], [ 31298998, 73957937, 44306063, 27899268, 33277103, 7829423, 81223123, 130453420, 47429823, 16677736, 45131046, 50368910, 21916412, 43984272, 147782651, 136849479, 14082220, 125722950, 21654249, 49244704, 18687775, 338450207, 54507159, 34088334, 15072477, 47168326, 58205030, 10496250, 26666345, 9811063, 151566307, 27349220, 130629805, 3345264, 77008103, 22598478, 42024416, 57334979, 14852364, 15812072, 42147465, 9182292, 101347050, 43931482, 82341391, 5564078, 8899107, 33815327, 84387194, 149850847, 26014536, 72386568, 15119195, 158577398, 59857663, 13802806, 17143545, 33012059, 14648640, 9555816, 22719135, 35888296, 33395442, 48164330, 21440373, 116183652, 15665421, 41196353, 47329509, 11128502, 40120666, 153228347, 26179740, 103193123, 12064664, 58430133, 48982349, 30248786, 80840877, 26225179, 126647814, 30477930, 24766906, 45077948, 8841244, 23136344, 96107183, 34969278, 4808035, 73828439, 79156877, 228008973, 8702321, 108569573, 89830530, 36685204, 74196242, 15323433, 8006431, 91173177, 156622523, 13627281, 52718830, 132992065, 10664629, 112277713, 19570961, 151232887, 27649900, 68911876, 19902972, 51741633, 951905, 163231397, 67917331, 42115646, 14187457, 134744943, 24346444, 51565532, 40479672, 40205094, 142662399, 12797032, 178107413, 185094585, 39011870, 82023210 ], [ 30218439, 86273363, 40672129, 5518902, 22776798, 16205819, 58207397, 278551602, 47429823, 12348828, 16241457, 17470031, 71615469, 4612190, 50049541, 77810132, 98507634, 3540912, 51287163, 51314188, 67265936, 41077709, 32609310, 81034080, 11954895, 47168326, 79781033, 77888553, 21440549, 21147669, 39946577, 4276608, 31671886, 6829958, 9919743, 144264129, 78265624, 38424988, 195830109, 39089340, 57447696, 39668587, 98787651, 69123481, 7150152, 27656350, 17412049, 39450044, 155232549, 160599912, 26014536, 10030682, 376623947, 21139736, 74241463, 28456575, 179471924, 43481216, 14648640, 34069127, 33802929, 118110339, 105233569, 48164330, 35286264, 113303, 56577791, 116873020, 156255881, 11128502, 9349723, 25157064, 21020513, 53419611, 75791750, 64300191, 122493392, 10574149, 95255415, 25407974, 49723126, 17788233, 24766906, 87545559, 32908317, 23974405, 41358624, 21658095, 47087107, 47343036, 25901517, 7492623, 5096699, 19222845, 89830530, 94523830, 27440054, 43573138, 75725624, 32328827, 24171738, 16945098, 64410245, 25339270, 78811154, 72433160, 138442130, 55990207, 35164341, 81782147, 85809652, 7933057, 96593127, 15844133, 90702324, 77874438, 14187457, 23286481, 52739310, 11520981, 5283439, 229092, 93245239, 4241466, 21450291, 134279720, 4528729, 158189237 ], [ 254535102, 97085922, 57332646, 71795229, 133030754, 7829423, 15963559, 315969607, 134739930, 165094725, 60097783, 74243328, 71615469, 280391891, 23609316, 69899350, 193174726, 78097557, 51287163, 72121574, 29984501, 529249463, 49631749, 34088334, 62215506, 169774264, 203087254, 116626588, 85673659, 110157224, 145809542, 357519311, 39949637, 233630835, 9919743, 630118252, 363853877, 12448949, 304248897, 2472168, 85422202, 44975384, 98787651, 124972417, 239972320, 67108161, 17412049, 145062040, 76610971, 85786520, 16326649, 297259926, 160574062, 67955405, 17366602, 74826905, 46562688, 27624956, 14648640, 79400751, 295629007, 157094857, 33395442, 48164330, 74252113, 23458859, 101831917, 58218196, 313567586, 11128502, 47738403, 64322539, 104330210, 110860078, 12064664, 41768460, 191886859, 107055693, 95255415, 74104424, 270545623, 180617129, 103800004, 32808182, 115229341, 23136344, 262235436, 84534261, 97657349, 106147217, 13438897, 7492623, 44658779, 19222845, 62289908, 62454713, 5674697, 43573138, 8006431, 81208466, 156622523, 54089013, 64410245, 371365154, 165357810, 150049881, 102658799, 55990207, 12821873, 63829230, 19423528, 152283894, 72748385, 3457816, 293547820, 77874438, 14187457, 347610947, 166439203, 94962878, 43942944, 124045187, 142662399, 78707398, 124456633, 144915952, 25962945, 152199936 ], [ 7735612, 39478371, 20551867, 43872504, 91826718, 77426950, 64387108, 130453420, 31816588, 73604414, 24054309, 69354034, 8799657, 304926114, 19325114, 21736456, 18518610, 91222832, 36161704, 128972561, 36346274, 117707557, 5636301, 34088334, 8151623, 22270673, 9823384, 13599704, 4139590, 9811063, 145809542, 41286449, 13784895, 19490018, 9919743, 15893949, 85660278, 95789381, 58347541, 31595012, 73803593, 20578293, 12920141, 124972417, 28107370, 72681927, 10632330, 5528881, 150949773, 85786520, 33905808, 6568879, 12789386, 21139736, 17366602, 13802806, 3149179, 7865970, 14648640, 52082945, 113427973, 31371993, 55845898, 27627406, 77097147, 23458859, 29752594, 313465, 50326426, 11128502, 27971412, 9290174, 26179740, 12467909, 1624088, 169089304, 48897775, 9751650, 17731912, 19249411, 169186900, 73455007, 40525522, 43856395, 175893400, 7244825, 19146395, 34969278, 42527030, 5080235, 28854300, 7492623, 53504578, 19222845, 3093115, 14346587, 29930575, 43573138, 504591, 67173398, 24868546, 22447868, 52891937, 19316330, 98532729, 85782824, 2476592, 23885359, 35164341, 17299405, 31533926, 79686694, 1250663, 35539146, 10256382, 2138343, 14187457, 285305, 24346444, 20008638, 91115958, 54314133, 6464083, 78707398, 103732735, 31458977, 29518243, 4643354 ], [ 7735612, 97085922, 20551867, 64873944, 25910147, 7829423, 138825044, 87779152, 47429823, 43240855, 29914440, 55136879, 71615469, 10221460, 180966442, 3329384, 3977840, 148363555, 36161704, 28941804, 17088587, 83701255, 54507159, 65539495, 4836413, 43176167, 46590480, 79277097, 4139590, 9811063, 50069238, 48525486, 92691823, 5053162, 9919743, 56948202, 85660278, 90589342, 824914, 8362851, 73803593, 55538211, 49905013, 124972417, 7150152, 159769863, 22487531, 6833446, 203732238, 75118583, 26014536, 87331021, 39362456, 165173119, 74241463, 13802806, 3149179, 71019915, 14648640, 32460033, 386062655, 79261241, 166247101, 8089399, 25872681, 118351178, 131606927, 8461208, 36603489, 11128502, 47738403, 48401055, 26179740, 17593518, 20588532, 76258876, 41634478, 4232416, 29617518, 19249411, 169186900, 48006655, 24766906, 41489736, 36085021, 23974405, 71541590, 93386167, 27550543, 73828439, 132279711, 7492623, 80337515, 19222845, 15272083, 120989682, 18205317, 43573138, 8006431, 247421103, 126615937, 22447868, 46753859, 114835017, 18629613, 85782824, 30097089, 145603465, 35164341, 24497005, 8198026, 35646354, 1250663, 259420844, 240354627, 12788432, 14187457, 78994068, 24346444, 49491730, 10094996, 67476139, 16495596, 78707398, 183176331, 43081569, 54663602, 108933385 ], [ 7735612, 97085922, 9024081, 41152116, 23226161, 7829423, 138825044, 18289389, 9501009, 3018572, 151853792, 45643335, 71615469, 174118816, 89242208, 13927614, 18221477, 76199020, 323089428, 95915092, 185887861, 144833982, 54507159, 34088334, 8151623, 12030409, 79781033, 46274253, 36979083, 9811063, 16726917, 188706743, 92420806, 3999066, 9919743, 100200947, 20809771, 24141020, 27777487, 26723723, 36108440, 44975384, 21300970, 93323456, 161046301, 8738751, 17412049, 5528881, 158281515, 160599912, 185204007, 6568879, 12789386, 21139736, 78896391, 13802806, 63266569, 57345974, 14648640, 33303079, 102352660, 21384917, 166247101, 21258739, 172392454, 137077539, 110304335, 20876282, 50326426, 11128502, 38180397, 67724647, 26179740, 17593518, 171276, 21182439, 89922543, 9751650, 73492671, 77867070, 77749230, 48006655, 93224471, 16630170, 32908317, 23136344, 35787454, 114935989, 48669013, 73828439, 269410632, 7492623, 10296517, 108569573, 85472646, 141875621, 29218734, 28840044, 76326658, 9350717, 15095956, 17068565, 64410245, 28666453, 40464, 96988898, 94368736, 190264585, 35164341, 5199599, 8198026, 152283894, 1250663, 70427007, 19283345, 32102918, 13219095, 8744575, 24346444, 94962878, 11332981, 54314133, 15045809, 4241466, 59469484, 4896573, 68038574, 8385885 ], [ 10343113, 1475812, 44621595, 130307063, 118694956, 181321514, 29738778, 86963849, 153079691, 71013518, 103187422, 69354034, 7179315, 3367344, 15382120, 131948715, 3767894, 44778422, 61191946, 28941804, 97304613, 70120030, 41796310, 34088334, 21710163, 79770297, 202725313, 24269579, 67213595, 18419991, 14630227, 30479417, 17863755, 528225, 9919743, 72873644, 4622927, 416074244, 8001260, 24641314, 42147465, 60568119, 49905013, 17925071, 7150152, 2229236, 3379604, 33815327, 25538873, 63635310, 26014536, 59313919, 2868360, 16235886, 18316860, 11735842, 179471924, 71019915, 38478205, 13313809, 63612579, 29701736, 13560067, 18645977, 131246332, 231716954, 110304335, 3934247, 67535112, 11128502, 40120666, 43090204, 104330210, 4832911, 9367480, 83363476, 37367794, 71500726, 34786737, 162873870, 210532374, 30477930, 3450763, 23130795, 130437976, 23136344, 42129310, 59989154, 37520657, 73828439, 191962791, 7492623, 53375586, 19222845, 753970, 43041183, 9904138, 43573138, 297716655, 23078277, 75257918, 19431507, 9291730, 66876627, 18354612, 136739244, 26425554, 166886011, 35164341, 76885555, 9908347, 61523681, 1250663, 101011399, 77819964, 77874438, 77450196, 35384173, 96056163, 11520981, 10094996, 54314133, 85358323, 12797032, 13755022, 18615545, 59543859, 158189237 ], [ 19594632, 44143729, 74388759, 36952558, 136245013, 178137873, 81223123, 117250155, 98733896, 280269153, 16629426, 39101763, 71615469, 75666424, 23609316, 69899350, 44076939, 4769597, 23661405, 56392526, 29984501, 144833982, 54507159, 34088334, 11976576, 24683476, 46590480, 46274253, 4139590, 21147669, 85262449, 50579299, 13784895, 19490018, 9919743, 22598478, 85660278, 34814590, 58347541, 15812072, 129236485, 31218943, 98787651, 67110770, 60461452, 97897970, 10632330, 136199237, 236871568, 85786520, 26014536, 87331021, 99964602, 67955405, 98129014, 29658891, 107804178, 195371164, 14648640, 3002788, 22685670, 93921498, 33395442, 48164330, 77097147, 23458859, 101831917, 20876282, 94420609, 11128502, 22704879, 13169326, 12851912, 12467909, 20588532, 149462396, 143211744, 698401, 44841138, 1081391, 38036375, 35924575, 260341399, 29125768, 28024279, 23136344, 103379690, 134674203, 69036259, 64178320, 28854300, 7492623, 82716240, 3742469, 33549345, 5232805, 5674697, 43573138, 88992793, 81208466, 128594277, 9498304, 64410245, 93766774, 28675242, 4696912, 38076923, 66469835, 12821873, 17299405, 31216632, 51741633, 108892514, 174457815, 8410505, 77874438, 14187457, 75631166, 52506329, 32010350, 28594756, 67476139, 6464083, 78707398, 87351205, 24325679, 54663602, 10063221 ], [ 202337531, 73957937, 82630026, 311917730, 671368379, 48019938, 59132993, 399025842, 99056652, 280269153, 151853792, 279271253, 261665356, 307610120, 404779747, 385273808, 36090254, 8106186, 51287163, 491047914, 95957413, 46042705, 56860421, 34088334, 567877815, 4402704, 17402290, 388606827, 85673659, 5953565, 145809542, 385182958, 433395481, 904466395, 22427269, 305305651, 392754423, 159781768, 182399285, 135527189, 85422202, 17280545, 702889940, 300073648, 239972320, 302043833, 17412049, 145062040, 27412036, 160599912, 114409998, 70008765, 47589363, 188350636, 17366602, 10654555, 115181774, 387018455, 14648640, 31897130, 47446923, 97305873, 545187611, 48164330, 14845455, 23458859, 107754139, 159151624, 63046026, 83448209, 318269059, 8520833, 167864940, 139959431, 67091866, 306505824, 71512655, 457962844, 95255415, 185478415, 243336865, 328312510, 182823675, 119421771, 44399837, 23136344, 131190754, 34969278, 52984891, 26076786, 99642357, 322312737, 129731800, 19222845, 97838497, 165881465, 47340093, 77745352, 657532183, 26937213, 607108390, 186544691, 164107112, 28666453, 165357810, 137666748, 160122026, 291330493, 35164341, 143325903, 364340403, 72067210, 93898343, 13069568, 342217545, 343678700, 14187457, 77715776, 88814411, 135879848, 86468677, 468378216, 109821265, 78707398, 208043842, 412040304, 275393697, 65732532 ], [ 155654907, 22529708, 91521943, 14325490, 1259187, 7829423, 16328805, 7550502, 11568794, 22783534, 151853792, 45727654, 8799657, 107883071, 15046430, 4605955, 123300023, 69607594, 200127146, 56392526, 29984501, 118009155, 54507159, 34088334, 34078856, 43176167, 102178669, 75995835, 4139590, 21147669, 14630227, 28857644, 39949637, 150563355, 9919743, 180270267, 89979232, 321137500, 65235045, 3518956, 29972900, 19994467, 26544931, 53333722, 26854428, 107744868, 17412049, 56491950, 32476104, 160599912, 26014536, 87331021, 31786150, 30067172, 21612414, 29246001, 83102782, 7865970, 14648640, 19500828, 47446923, 94440181, 4568008, 48164330, 124951231, 48201911, 131606927, 81020045, 143366853, 11128502, 22704879, 79362433, 9399131, 60270550, 98752482, 116247650, 79603216, 97048183, 95255415, 19249411, 45404420, 156045941, 436960016, 131598524, 170418013, 23136344, 71250027, 51299077, 9807810, 26076786, 79240914, 7492623, 29804875, 19222845, 24039112, 91311068, 47340093, 16829863, 63422562, 63858491, 19456083, 53140084, 56859134, 50019746, 18629613, 85782824, 751071, 55990207, 35164341, 288259299, 175603418, 152283894, 22799841, 3471774, 35140652, 77874438, 14187457, 271904454, 106922072, 83135938, 10094996, 33948272, 15840429, 67371950, 40782327, 49757387, 32505446, 65732532 ], [ 24175356, 83328899, 761466, 14325490, 26425275, 7829423, 81223123, 48393242, 47429823, 16677736, 10083401, 74243328, 78551615, 75666424, 57273016, 3329384, 3977840, 148363555, 170804124, 118451443, 29984501, 83701255, 54507159, 3483270, 99237699, 47168326, 26468430, 37440651, 4139590, 5953565, 90105736, 30479417, 82390790, 166365804, 90729572, 22598478, 85660278, 159781768, 126954531, 8450330, 108687630, 29560112, 84011763, 53935458, 73587350, 5564078, 17412049, 5528881, 109400575, 85786520, 26014536, 10030682, 119054181, 13554292, 37945450, 10654555, 48212736, 173080545, 14648640, 3767974, 135999096, 66316249, 33395442, 48164330, 14845455, 8767110, 70797506, 20876282, 43701219, 11128502, 104968487, 94246456, 104330210, 28358421, 20588532, 116247650, 48982349, 90102240, 17731912, 19249411, 54894092, 18804473, 24766906, 41489736, 8841244, 23136344, 79619066, 34766411, 8138892, 49585650, 78664690, 51522268, 23401976, 19222845, 61536432, 59706112, 27285275, 26946128, 7008549, 26937213, 1013944, 43444615, 22173503, 18143679, 93472375, 52675605, 15897088, 199328976, 35164341, 21786563, 31533926, 113009671, 9935331, 194724187, 73073455, 9626590, 14187457, 41434969, 31821109, 51565532, 7805551, 76350134, 85358323, 3030832, 40250901, 166270172, 54663602, 82023210 ], [ 40352605, 83328899, 9024081, 14325490, 33277103, 7829423, 30407670, 3037116, 92583342, 268124914, 20158054, 140719892, 8799657, 74223866, 38593052, 13112516, 48897406, 18110256, 51287163, 61684354, 55721569, 41601143, 20524165, 24575750, 21710163, 43176167, 67997463, 48132956, 4139590, 21147669, 90105736, 30479417, 118167148, 90961544, 9919743, 54182733, 85660278, 253950795, 211686631, 135527189, 161630182, 44975384, 98787651, 93323456, 1994469, 10151165, 17412049, 5528881, 4656625, 45254857, 214328992, 86665551, 68471166, 11660676, 38628019, 10654555, 10180665, 7865970, 14648640, 34069127, 47446923, 22146385, 17234646, 48164330, 37868488, 8767110, 57766626, 55827880, 39406400, 15659266, 65080746, 94512888, 85783678, 60270550, 20588532, 116247650, 103489437, 76988901, 77788901, 19249411, 76332171, 76976972, 36382555, 204831672, 44399837, 23136344, 192082432, 45723755, 48669013, 26076786, 190449205, 7492623, 8702321, 19222845, 105264521, 44430424, 47340093, 15323433, 193785225, 9350717, 19456083, 58864030, 22173503, 10814008, 152134305, 175026777, 130047357, 109644818, 35164341, 44869489, 50825494, 37033987, 76480995, 75181303, 115069051, 71561743, 14187457, 125641637, 60496844, 31463377, 7805551, 63207095, 16603135, 78707398, 65274928, 74719192, 54663602, 12517399 ], [ 113659710, 97085922, 12062635, 164061128, 5044895, 29897501, 9932328, 160607, 11338106, 71013518, 19436251, 74243328, 61308600, 146238047, 82691050, 97040366, 35635354, 95554627, 20245054, 477735, 29984501, 116239221, 45201766, 34088334, 79409986, 23604150, 141286325, 31043805, 34774265, 9811063, 3925518, 48525486, 28190702, 19490018, 9919743, 107832548, 154444328, 12330597, 65946066, 109689335, 83883937, 6511714, 53423190, 107106667, 64054485, 12349849, 4572319, 43841323, 28791263, 26018692, 21326024, 34490581, 59943224, 76080428, 98129014, 13802806, 19594764, 84306054, 39065278, 48091385, 68185028, 49867426, 33395442, 76815553, 109739542, 49373759, 26744550, 11729070, 94420609, 8937545, 1927362, 137989393, 18551859, 12467909, 179401276, 153807511, 15179998, 37893454, 73399225, 64889486, 76332171, 33612121, 65764568, 38771833, 147977879, 23136344, 137859624, 63306276, 36523646, 73828439, 28854300, 7492623, 53375586, 2279026, 119176544, 5229812, 29218734, 43573138, 16826811, 13411347, 6496455, 22447868, 64410245, 54031989, 100601120, 2904225, 18467329, 43313435, 2458123, 94194490, 24390835, 152283894, 15506915, 41701668, 54283146, 12788432, 13807998, 9219250, 24346444, 22717768, 7440492, 67476139, 6464083, 25327513, 136348263, 98080016, 145718983, 8385885 ], [ 1420552, 6855765, 20551867, 137773642, 5044895, 7829423, 34444996, 9575149, 31816588, 77789480, 38036421, 4136495, 71615469, 13949632, 82691050, 51959001, 35635354, 102060070, 36161704, 1967362, 29356258, 66223794, 45201766, 96292088, 79909910, 43176167, 104162020, 22748138, 4139590, 21147669, 17851763, 9752379, 130629805, 19490018, 9919743, 36446164, 66556052, 125350875, 23580742, 94668052, 1692936, 26317362, 11857120, 1004199, 20220556, 16763258, 29968857, 59332556, 84387194, 56346379, 26014536, 86206333, 17070917, 31737319, 62202479, 12618545, 63710292, 63465833, 11163758, 90923096, 185289642, 51921857, 33261372, 74046888, 180005608, 9567324, 77986125, 4267729, 94420609, 8937545, 65127504, 35693120, 104330210, 12467909, 137897006, 28364330, 15179998, 156856293, 44841138, 19249411, 5989126, 11841208, 24766906, 1386123, 60151639, 37151225, 18630531, 65859679, 94042713, 55513661, 28854300, 7492623, 8702321, 7147071, 66555186, 1468993, 296688, 15323433, 16826811, 81208466, 6496455, 23230623, 64410245, 44385067, 10664629, 109877727, 2331077, 7056005, 2458123, 68911876, 31533926, 63579621, 5629287, 31420260, 19606445, 39529471, 4778538, 9219250, 18090748, 83135938, 87973016, 91501237, 6464083, 25327513, 55241413, 1832243, 4027740, 6315096 ], [ 1420552, 97085922, 91521943, 137735374, 136245013, 257858462, 157367015, 7320926, 326065059, 187863642, 8810864, 58141178, 84520594, 277061155, 12258353, 299491671, 35635354, 148363555, 176555435, 72920881, 274219147, 527884974, 54507159, 16439853, 15072477, 115585861, 97857033, 166038206, 45415185, 21147669, 9903731, 142346647, 130629805, 27354116, 195531405, 18914570, 7728598, 13555557, 786167527, 208795600, 139459555, 124550739, 175707301, 63822203, 85409986, 12349849, 29968857, 145062040, 27658597, 85786520, 26014536, 37872620, 169202919, 52772735, 156207902, 77085873, 89528991, 84306054, 38357054, 79439028, 162624579, 48287149, 38504136, 4081438, 21223115, 191090905, 131606927, 146382436, 303094267, 116942497, 111860676, 76266270, 104330210, 132703814, 179401276, 145886724, 2186367, 25369199, 120533292, 26225179, 72730439, 208980214, 65764568, 23507974, 228060825, 23136344, 122076125, 74953348, 71606681, 198520665, 119485024, 181340059, 173423093, 338810044, 173393870, 1468993, 242640728, 43184542, 396070830, 415858353, 6496455, 6227883, 78129041, 260784597, 37761538, 189519754, 39598539, 63785001, 43070149, 52004240, 22025713, 319299137, 119015140, 31420260, 157498963, 77874438, 42195682, 102693827, 39902837, 227634995, 109402978, 131457363, 87110961, 94587207, 371795255, 298087002, 34395922, 12655662 ], [ 6925873, 13262061, 21330488, 7150769, 30086569, 49829016, 81223123, 121415900, 31816588, 150132803, 119367130, 64039569, 71615469, 39175709, 12258353, 79205732, 35635354, 148363555, 223734426, 40620308, 29984501, 174709220, 54507159, 16439853, 59881479, 13176388, 9951146, 61993387, 4139590, 21147669, 48350740, 1583679, 33588870, 18212595, 9919743, 18914570, 32667541, 50352180, 146720900, 80415472, 10896384, 109746633, 98787651, 124972417, 85409986, 8738751, 16984205, 255940443, 88606997, 56346379, 26014536, 77185589, 164788313, 52772735, 74241463, 86751626, 179471924, 66324518, 68601867, 37539156, 58761287, 157641846, 33395442, 36769191, 2663878, 322354602, 9199391, 71913506, 126674761, 11128502, 94932526, 166194665, 110406079, 60270550, 105578293, 29962433, 142157452, 34125965, 19353368, 19249411, 72730439, 52011597, 24766906, 23507974, 150650394, 133919533, 122076125, 143590005, 94042713, 20315466, 8403455, 7492623, 124964363, 19222845, 108615940, 5232805, 16275103, 43573138, 114793140, 86316448, 177555879, 68795499, 46124803, 154933537, 165357810, 44618677, 106460031, 43313435, 204399877, 108142478, 43458299, 152283894, 108892514, 31420260, 56142215, 37966319, 168677345, 9219250, 33436120, 7707426, 32182005, 221036087, 41545619, 39389127, 74621554, 7885366, 54663602, 41313697 ], [ 197573000, 13262061, 91521943, 74974636, 68797297, 7829423, 123598566, 527077, 47429823, 43540580, 119367130, 64039569, 60529741, 97544519, 12258353, 63370014, 35635354, 109218945, 46580370, 91072366, 181873270, 183131299, 54507159, 34088334, 101437440, 44920942, 9951146, 29610316, 33282580, 9811063, 88277132, 26632893, 130629805, 19490018, 9919743, 100200947, 140274632, 50352180, 23580742, 19421974, 36108440, 74514401, 98787651, 50866355, 175006784, 8738751, 4572319, 28538266, 212705378, 3005173, 26014536, 36602426, 59943224, 67955405, 74241463, 13802806, 5873267, 5098092, 173438848, 48091385, 181126957, 51921857, 33261372, 36769191, 133278352, 25029165, 110304335, 20876282, 94420609, 11128502, 1927362, 166078129, 26179740, 12467909, 137897006, 109358300, 55950860, 37893454, 120533292, 89863703, 76332171, 121529825, 1743522, 45077948, 132605470, 23136344, 18630531, 81848516, 6061460, 20315466, 28854300, 7492623, 47854487, 19222845, 26139271, 58298583, 59986466, 43573138, 106221674, 145730769, 33603882, 7888262, 64410245, 44385067, 16539226, 115582686, 77177965, 7990980, 35164341, 170075653, 49678368, 152283894, 34900327, 41701668, 144199753, 13721683, 4778538, 9219250, 24346444, 5215278, 223485423, 67476139, 6464083, 25327513, 48096135, 98080016, 39011870, 158189237 ], [ 47394511, 97085922, 91521943, 36703392, 136245013, 24217135, 81223123, 11122756, 47429823, 198700743, 38036421, 74243328, 71615469, 217923532, 110703301, 200324416, 35635354, 148363555, 190525426, 131129715, 29356258, 176407070, 54507159, 16439853, 159588941, 4398115, 53767925, 31043805, 4139590, 21147669, 35615106, 70712698, 130629805, 19490018, 9919743, 18914570, 140274632, 320441286, 240537181, 10637202, 11142073, 124550739, 88954935, 11997696, 29750484, 52850723, 46963576, 93302690, 34932760, 78224680, 26014536, 20481205, 8988401, 52772735, 74241463, 28456575, 55492492, 104382147, 11163758, 69039279, 416883383, 46481541, 33395442, 26664358, 113542778, 28634471, 117692617, 53716457, 67535112, 11128502, 65080746, 153228347, 104330210, 12467909, 155837740, 17535400, 116881660, 34125965, 69629332, 19249411, 72730439, 46523739, 24766906, 23507974, 32908317, 143099390, 122076125, 78160602, 21518661, 15850384, 28854300, 7492623, 53375586, 19222845, 72169694, 5232805, 5674697, 43573138, 112670427, 63975941, 31190782, 98509620, 64410245, 15356887, 24435136, 65929312, 38484741, 3824292, 35164341, 68911876, 31533926, 152283894, 108892514, 31420260, 23877489, 30217700, 142519476, 9219250, 56513030, 83135938, 22936501, 87902655, 6464083, 4241466, 12114064, 98080016, 54663602, 41313697 ], [ 73278332, 38167608, 91521943, 113383947, 136245013, 7829423, 118994526, 160872871, 11338106, 55515862, 11836062, 7556272, 71615469, 13949632, 12258353, 275755844, 35635354, 13214978, 14248063, 138673085, 274219147, 7191698, 54507159, 34088334, 47527318, 44920942, 97857033, 39720231, 45415185, 21147669, 3925518, 48525486, 28190702, 19490018, 9919743, 52512232, 61329135, 12330597, 175189494, 51651074, 83883937, 39668587, 98787651, 11997696, 1966684, 10914927, 91704865, 28538266, 139981176, 22549088, 26014536, 37872620, 58357718, 28922729, 17366602, 12618545, 45905306, 21699071, 38357054, 85967173, 15452109, 53608172, 44960964, 14707594, 52369540, 28830461, 26744550, 252324075, 6969703, 11128502, 148743794, 265439593, 43516538, 12467909, 10708203, 17535400, 15179998, 39184576, 72596379, 134848691, 37424775, 53658556, 65764568, 85106042, 15813145, 23136344, 31450107, 97802999, 47087107, 15850384, 28854300, 7492623, 203383538, 19222845, 97838497, 14346587, 34591878, 43573138, 31888261, 3962925, 84049564, 79870237, 48659214, 93979583, 6041148, 2904225, 160122026, 18029310, 35164341, 39156272, 26152720, 88436661, 3314149, 127174323, 303024978, 13721683, 22703114, 4263372, 84983974, 5215278, 203593678, 67476139, 919956, 25327513, 55241413, 29750645, 275393697, 8385885 ], [ 159442184, 2248874, 69016695, 22543064, 30086569, 7829423, 129549792, 71961339, 11338106, 97229913, 25213020, 17470031, 3670534, 68675439, 12258353, 102844704, 7619152, 109218945, 21654249, 28941804, 14547668, 29291128, 36837645, 34088334, 8151623, 23604150, 144176318, 46274253, 36979083, 9811063, 17570951, 1452202, 28190702, 19490018, 9919743, 6019223, 56215101, 33150335, 38853628, 26723723, 36108440, 39668587, 88954935, 67666308, 200817435, 8738751, 5173216, 5528881, 14820136, 36283588, 26014536, 30726932, 12789386, 30067172, 17366602, 10654555, 87782041, 4032109, 11163758, 95374567, 68185028, 3390562, 40716085, 23951579, 758187, 67609819, 16464820, 20876282, 50326426, 11128502, 27757256, 90204554, 1721996, 12467909, 20588532, 58430133, 15179998, 3939238, 10845223, 67913940, 35219218, 19213264, 24766906, 35163687, 48897944, 23136344, 59257350, 34969278, 41994354, 18304533, 28854300, 7492623, 23401976, 16402299, 25784813, 5229812, 47946239, 36280454, 18524312, 32328827, 141799632, 6227883, 4745133, 33373381, 29603894, 2904225, 38484741, 116476913, 11775402, 28840007, 10501846, 20569282, 34900327, 27622971, 52211992, 13721683, 14935790, 4956964, 24346444, 31463377, 7805551, 67476139, 6464083, 3201161, 40782327, 86728952, 64737594, 8385885 ], [ 134930484, 90161977, 31764644, 8129169, 25910147, 7829423, 81223123, 204351424, 47429823, 180100603, 122524173, 28429720, 24388200, 11976265, 12258353, 10794703, 35635354, 5114422, 51287163, 31062301, 29984501, 15266729, 48133062, 34088334, 21710163, 47168326, 16674892, 46274253, 4139590, 21147669, 10147561, 30479417, 40148963, 19490018, 9919743, 100200947, 59625208, 43011109, 14350763, 61987849, 11142073, 61530256, 49905013, 124972417, 37029892, 8738751, 2202192, 93302690, 331134396, 123341319, 26014536, 87331021, 51243350, 160133482, 74241463, 123894405, 63710292, 71019915, 11163758, 15659086, 158349795, 51921857, 33395442, 36769191, 33007520, 42677988, 40681939, 20876282, 26273893, 11128502, 18298946, 12631605, 20274748, 12467909, 86435405, 109085950, 8953505, 37893454, 120533292, 7071017, 38633454, 99339, 11914058, 672597, 72990490, 23136344, 26677816, 100320188, 25766746, 59380184, 1357031, 7492623, 119276014, 19222845, 62289908, 5229812, 26063013, 2380324, 71109980, 10754514, 265012392, 1121340, 64410245, 44385067, 18629613, 80068272, 56862117, 124192456, 24032403, 94194490, 9268083, 152283894, 108892514, 41701668, 54283146, 37966319, 45681510, 30194707, 39902837, 83135938, 12610673, 67476139, 6464083, 78707398, 7940278, 7517031, 54663602, 158189237 ], [ 134930484, 83328899, 91521943, 78390431, 20301086, 32711496, 81223123, 10728620, 31816588, 113179579, 119367130, 74243328, 71615469, 82853385, 82691050, 187059098, 35635354, 5114422, 225112488, 138673085, 29984501, 58071436, 54507159, 117605892, 324329058, 76257939, 144176318, 61359642, 4139590, 21147669, 136375352, 9752379, 114698198, 19490018, 9919743, 90299454, 48222143, 125350875, 23580742, 109689335, 175141780, 30692901, 98787651, 124972417, 239972320, 44114447, 191320393, 93302690, 22658931, 54746248, 26014536, 87331021, 51243350, 226799980, 98129014, 86751626, 63710292, 153839312, 11163758, 42885717, 64124675, 51921857, 33395442, 160754148, 33007520, 9567324, 39180729, 53716457, 94420609, 11128502, 80712506, 134418637, 63047018, 12467909, 152810428, 70418575, 151026303, 37893454, 136462865, 19249411, 158750746, 274083938, 40525522, 672597, 64355996, 143099390, 192082432, 65261005, 31459281, 73828439, 28854300, 7492623, 77572742, 19222845, 103334957, 5232805, 5674697, 43573138, 38725004, 81208466, 25234297, 79870237, 64410245, 44385067, 21173172, 60476281, 160122026, 43313435, 35164341, 101687233, 31533926, 66045757, 108892514, 41701668, 68392417, 77874438, 82300461, 9219250, 44447597, 44322097, 87973016, 67476139, 6464083, 39389127, 73978516, 83112910, 54663602, 20569385 ], [ 122865998, 36539407, 21330488, 106354026, 136245013, 7829423, 60053269, 237504888, 16684911, 314453549, 42522121, 74243328, 71615469, 197170623, 102034964, 65353402, 35635354, 69607594, 5312691, 12230160, 8048060, 174709220, 54507159, 34088334, 377940537, 17378758, 16674892, 185190204, 4139590, 306351535, 32318278, 51657916, 108507156, 121274111, 9919743, 70410354, 118469328, 12448949, 163467739, 61987849, 125121146, 127431486, 98787651, 124972417, 107771326, 134952567, 17594619, 85391228, 601072100, 123341319, 26014536, 38680821, 59943224, 211551143, 74241463, 28456575, 22877542, 154316192, 66967279, 53154926, 123106573, 12344388, 5878601, 59834295, 30342613, 89133349, 438754546, 28989626, 26273893, 11128502, 18298946, 104722467, 294215603, 49039324, 294728815, 116247650, 88154929, 24505773, 129889848, 19249411, 283824684, 341375847, 15968442, 12690283, 12184028, 23136344, 30001796, 84180915, 38819089, 17865391, 25816714, 7492623, 80374169, 19222845, 79091183, 5229812, 47946239, 43573138, 61738332, 82379273, 269178695, 115583993, 26617542, 125340561, 79147676, 38250701, 14736201, 20232511, 35164341, 14671956, 95156731, 152283894, 108892514, 41701668, 16244749, 66858337, 69079667, 43714819, 16134099, 74645698, 12610673, 473551352, 87110961, 4241466, 50609419, 98080016, 54663602, 49984744 ], [ 297616339, 31766904, 91521943, 52262630, 136245013, 7829423, 81223123, 118341417, 30982979, 51282922, 130223623, 74243328, 71615469, 60310853, 12258353, 294217016, 35635354, 148363555, 212393974, 138673085, 29984501, 32090228, 52292132, 16439853, 72298444, 47168326, 9428168, 93739467, 4139590, 21147669, 32318278, 48525486, 33588870, 91141172, 9919743, 18914570, 140274632, 72044599, 80845195, 36700884, 139459555, 124550739, 16118041, 124972417, 85409986, 181581527, 46963576, 93302690, 55947330, 56346379, 26014536, 11815105, 26126097, 52772735, 74241463, 186159716, 63710292, 120102322, 14648640, 17090967, 416883383, 51921857, 33395442, 48164330, 2663878, 4429395, 100139302, 21907393, 6005507, 11128502, 47738403, 87713217, 104330210, 60270550, 29459730, 116247650, 142157452, 37893454, 72262860, 19249411, 41445570, 80490361, 15968442, 23507974, 228060825, 23136344, 122076125, 62301821, 1064084, 58231241, 19201507, 4681896, 94105196, 19222845, 27348934, 5229812, 113461032, 43573138, 228022515, 65045025, 80789424, 62157837, 61874757, 44385067, 165357810, 246766272, 14736201, 18029310, 35164341, 94194490, 26152720, 6290379, 3314149, 31420260, 162901039, 12788432, 8268373, 9219250, 39902837, 22717768, 114275434, 50667015, 87110961, 38759465, 183176331, 44785241, 54663602, 41313697 ], [ 2741344, 12163649, 38914530, 41423579, 30567513, 82197466, 8978114, 11122756, 11338106, 43540580, 25213020, 34610107, 7924072, 63070458, 57273016, 63370014, 7619152, 94224087, 21654249, 21641970, 8530473, 34918793, 54507159, 16439853, 8151623, 23604150, 103891994, 46833787, 67213595, 21147669, 11037895, 8067203, 15113505, 19490018, 9919743, 18914570, 14451065, 2909142, 77142186, 107331138, 52085207, 20616064, 3433030, 39444895, 85409986, 8738751, 107408428, 65635923, 27658597, 78649067, 26014536, 707267, 12789386, 15889489, 12922445, 1166550, 71835807, 11778188, 23757037, 6610976, 23859231, 161519590, 33395442, 4081438, 758187, 65929704, 9199391, 12512447, 50326426, 9568649, 41172865, 145048404, 10258276, 7409211, 33384915, 29962433, 26633138, 25369199, 19353368, 11209908, 61923397, 71414976, 19732245, 18964182, 104512219, 25287032, 23718741, 143590005, 18848261, 1586059, 28854300, 6648066, 8702321, 19222845, 15727200, 5229812, 47946239, 15323433, 8006431, 11831295, 24749793, 1011053, 64410245, 105903689, 23382202, 60881301, 38484741, 21571738, 11412452, 36831880, 31533926, 20229549, 69478756, 58672491, 22984477, 26394224, 14935790, 4956964, 39902837, 22717768, 10094996, 67476139, 6464083, 81277898, 30813242, 14470948, 13486249, 8385885 ], [ 36165227, 13262061, 91521943, 70188949, 5044895, 7829423, 119080967, 112750048, 47429823, 65059950, 30421189, 12897912, 26224860, 13920403, 12258353, 181219711, 18518610, 52075164, 51287163, 29461190, 17088587, 46042705, 54507159, 34088334, 4836413, 8277345, 7538870, 19612394, 4139590, 9811063, 50069238, 11282436, 37924836, 33641843, 9919743, 100200947, 140274632, 54337320, 50199326, 109689335, 63900170, 7154340, 98787651, 114891838, 220273962, 159340643, 8117290, 5528881, 77943694, 43741075, 269685265, 37872620, 12789386, 19598875, 8513457, 13802806, 48212736, 32480043, 23348445, 78989543, 100001636, 97305873, 117790812, 15008321, 52369540, 240620, 6566278, 20876282, 50326426, 61253435, 65080746, 104722467, 14400624, 20330484, 137897006, 116247650, 92404015, 37893454, 52221027, 3400982, 162291132, 19377587, 24766906, 67433929, 160326366, 23136344, 38750214, 143590005, 33831785, 128639937, 85452313, 7492623, 45504922, 5729174, 27348934, 5229812, 5674697, 35707345, 146193940, 8258553, 18244973, 22447868, 18886217, 15381447, 55069361, 60476281, 10292089, 4946534, 60066507, 49044164, 27387646, 79449101, 1250663, 41701668, 8410505, 8761666, 123359600, 4263372, 24346444, 19751518, 56526148, 108217939, 85358323, 353054452, 16846091, 43303750, 54663602, 10063221 ], [ 38891628, 13262061, 91521943, 22700031, 30086569, 49829016, 81223123, 160607, 47429823, 233495439, 119367130, 15054942, 55134576, 190290853, 12258353, 73071748, 35635354, 35210160, 86689388, 40620308, 29984501, 162495944, 52292132, 45818651, 15072477, 23604150, 17558543, 31043805, 4139590, 21147669, 3925518, 75438832, 31688153, 12880190, 9919743, 36940399, 140274632, 12330597, 52462979, 36700884, 11142073, 6511714, 98787651, 116247633, 136288550, 181581527, 46963576, 72087043, 79187697, 91854571, 26014536, 37872620, 59943224, 67955405, 67496467, 86751626, 89528991, 66324518, 38357054, 137455850, 35055757, 157641846, 33395442, 59464778, 21223115, 19596352, 26744550, 99213742, 106534241, 11128502, 31437135, 286782034, 147884076, 60270550, 137897006, 29962433, 54285072, 25369199, 120533292, 19249411, 78255223, 52011597, 24766906, 46075800, 228060825, 59562916, 156144948, 32438638, 20337306, 111447077, 119485024, 7492623, 53375586, 19222845, 31335309, 5232805, 5674697, 35536884, 88060207, 165188381, 6496455, 218835269, 1328670, 154933537, 13853996, 136739244, 10328263, 43313435, 2458123, 356369154, 43458299, 152283894, 8928103, 41701668, 22984477, 13207700, 278448080, 9219250, 19888394, 22153732, 21759941, 14571078, 61771202, 244022591, 328793173, 98080016, 54663602, 1734627 ], [ 73278332, 2248874, 12062635, 51594079, 33277103, 7829423, 5481880, 41655514, 4514411, 22783534, 16654773, 4136495, 11184496, 46803205, 12258353, 10794703, 35635354, 163444668, 6150042, 33007665, 425930, 3747843, 17237959, 8851008, 79809955, 743433, 103891994, 46274253, 4139590, 9811063, 11037895, 19256234, 6963277, 6952233, 43285956, 15006975, 27247470, 13704278, 17118206, 49588790, 56845272, 28263753, 23841273, 14539178, 8672790, 168446, 3890878, 43041615, 28791263, 5935224, 12082903, 82219332, 59943224, 28922729, 12922445, 13802806, 13694432, 10537101, 83603243, 21392781, 51604081, 2638464, 33395442, 18284381, 44302015, 5954598, 10879380, 20876282, 25329720, 2866196, 21032695, 24521804, 26179740, 12467909, 20588532, 51136416, 111702866, 37893454, 72596379, 1468693, 48218976, 7369407, 29526864, 66167271, 82742110, 23136344, 31450107, 34969278, 36617398, 1586059, 7903880, 52875576, 8702321, 6362173, 23155834, 5229812, 296688, 2380324, 34447883, 3962925, 23271493, 10206982, 1328670, 105903689, 23382202, 74299560, 47583747, 3824292, 2458123, 39156272, 24390835, 21710698, 96946021, 41701668, 66486379, 28355795, 34783453, 9219250, 24346444, 18157408, 20933357, 34742766, 6464083, 43439840, 9124814, 49757387, 6480388, 1734627 ], [ 109997736, 110676249, 9024081, 53684186, 65547195, 88259316, 81223123, 10728620, 47429823, 151322163, 22907577, 74243328, 154090374, 177384777, 12258353, 31492154, 20561983, 1320109, 211990373, 42877873, 29984501, 189978470, 54507159, 5971639, 45738921, 47168326, 22772443, 2252364, 85673659, 21147669, 182484876, 153990073, 33588870, 90961544, 14422102, 41163899, 31600162, 232796264, 23580742, 34063333, 56845272, 9182292, 58433034, 45789719, 39598691, 10151165, 46963576, 33027000, 144185530, 52133795, 26014536, 87331021, 161036725, 49755262, 17366602, 11735842, 158454395, 134823790, 182997948, 82513676, 64474081, 173398000, 33395442, 19560338, 2663878, 31637562, 107754139, 20876282, 124607644, 11128502, 115676548, 3453250, 62568321, 23605154, 55101405, 145886724, 142157452, 62078491, 3535351, 74104424, 193364208, 255603980, 24766906, 45077948, 72263710, 23136344, 31450107, 100320188, 34164230, 25591598, 209686677, 8313303, 23401976, 19222845, 89830530, 130775582, 50727531, 14280183, 8006431, 9350717, 156622523, 65043638, 22173503, 139840833, 165357810, 54920280, 3435798, 124192456, 35164341, 170075653, 79237933, 62215388, 34900327, 259420844, 23536374, 801913, 123359600, 135279616, 57381738, 7755034, 7805551, 9601057, 85358323, 39389127, 248994150, 44785241, 39011870, 59881781 ], [ 4306688, 28304292, 9024081, 24590954, 39972185, 25465404, 34926847, 6308334, 47429823, 71013518, 3130730, 15054942, 71615469, 90099730, 12258353, 69899350, 93652960, 100138315, 6239508, 7212442, 69861726, 34238619, 17237959, 233575, 79409986, 3571107, 127980635, 31785111, 10088685, 9811063, 11037895, 30479417, 13784895, 706892, 9919743, 245655, 52465849, 168905438, 23580742, 18788733, 139459555, 30692901, 47817339, 14539178, 24402478, 26757336, 10632330, 93302690, 191541003, 29578347, 12082903, 86665551, 1098358, 37635859, 12922445, 13802806, 2704747, 27624956, 8534908, 57747620, 43117440, 71369223, 33261372, 68155298, 109520349, 23458859, 10879380, 11729070, 94420609, 8937545, 3520474, 10755386, 26179740, 12467909, 194148462, 28364330, 19107564, 6429636, 98889092, 1081391, 63506446, 33612121, 24766906, 59730645, 132605470, 66872868, 46595830, 21325163, 69036259, 1586059, 28854300, 7492623, 11984325, 19222845, 86665014, 5232805, 47946239, 43573138, 429315471, 9350717, 35331108, 9498304, 26338059, 33299360, 23382202, 2904225, 102658799, 131216689, 11412452, 17299405, 8198026, 63579621, 17060832, 32124993, 17814667, 2138343, 4778538, 8252009, 10153264, 16782351, 10094996, 67476139, 6464083, 177912288, 30813242, 84347372, 13486249, 1945921 ], [ 21192448, 37049060, 9024081, 36703392, 88741479, 7829423, 81223123, 24077093, 11338106, 28696083, 239631175, 74243328, 71615469, 174118816, 12258353, 21736456, 105901672, 30303546, 325618860, 28941804, 17088587, 183131299, 54507159, 548401, 4836413, 10406872, 9823384, 19528142, 4139590, 21147669, 22056970, 14104276, 92420806, 90961544, 9919743, 15893949, 140274632, 16157705, 110155120, 58278503, 128657143, 64391492, 15001969, 93323456, 37033709, 41088252, 40836, 58912079, 66183954, 67067719, 26014536, 37872620, 59943224, 67955405, 74241463, 23544608, 179471924, 108771973, 38357054, 108112636, 381187177, 55255128, 33395442, 42752385, 1047396, 152204219, 68224259, 20876282, 73334588, 11128502, 27757256, 88350592, 14400624, 60270550, 288259, 116247650, 142157452, 34125965, 30284243, 19249411, 76332171, 19882501, 24766906, 183263655, 32908317, 23136344, 160649726, 135317692, 36523646, 73828439, 119485024, 7492623, 100685828, 19222845, 21436866, 5229812, 5674697, 43573138, 8006431, 9350717, 30869059, 79870237, 64410245, 12439658, 20352700, 6136708, 41347165, 3824292, 291113917, 18875456, 13422087, 141364771, 1250663, 41701668, 8659843, 54799413, 6292514, 9219250, 39902837, 22717768, 139255139, 67476139, 85358323, 4241466, 76355897, 2418077, 54663602, 8385885 ], [ 27547849, 36199593, 91521943, 53684186, 1518106, 7829423, 42911139, 10728620, 11338106, 126445867, 62150925, 58519521, 71615469, 20865873, 62661462, 138251013, 3655074, 58008113, 34603293, 6868206, 65126287, 2892486, 43723709, 34088334, 8151623, 1124982, 26468430, 46274253, 4139590, 6117471, 2683954, 48525486, 33744510, 103716003, 9919743, 21381525, 109614632, 103190083, 9985536, 37153598, 85422202, 19494935, 98787651, 70268045, 36050063, 1403991, 96557304, 5528881, 4161379, 9391431, 26014536, 85944640, 12789386, 25942453, 1746516, 10654555, 99035310, 8221730, 5763419, 62180514, 80287119, 66703717, 13828417, 26703795, 758187, 4770883, 70797506, 20876282, 15266253, 10266812, 52991596, 104722467, 29657818, 60270550, 105449809, 29962433, 71512655, 92990750, 169109617, 19249411, 18653271, 10158467, 9828162, 1111414, 48737309, 23136344, 31450107, 4582050, 4808035, 73828439, 145410220, 7492623, 23401976, 19222845, 20286424, 5229812, 44055985, 43573138, 64520074, 6497371, 44027304, 37620547, 22173503, 18143679, 59683608, 47656443, 100143768, 58570577, 35164341, 65312230, 43458299, 15866522, 1250663, 194919342, 7083149, 77874438, 46436666, 115965811, 1588375, 68364486, 810770, 9761493, 7835746, 78707398, 54347486, 1832243, 49314782, 8385885 ], [ 63235793, 13262061, 9024081, 18520017, 102434796, 7829423, 81223123, 10882454, 47429823, 43540580, 13136932, 52340777, 71615469, 36020946, 59603933, 63370014, 7619152, 10648837, 14248063, 94480313, 29984501, 49789081, 23508368, 34088334, 31098762, 37245175, 37045815, 91817514, 4139590, 9811063, 34304958, 48525486, 26077353, 42864962, 9919743, 171320336, 50470753, 28411253, 30098882, 109689335, 69131863, 11629406, 16118041, 93323456, 23305849, 52521323, 15905892, 37415605, 42823446, 72905461, 26014536, 38680821, 208516007, 21139736, 74241463, 13802806, 62931609, 500064, 13505037, 20423772, 4435304, 48287149, 12863430, 28309703, 758187, 91764174, 118318229, 12512447, 6438679, 11128502, 19617512, 8810284, 26179740, 20330484, 18865190, 14124872, 142157452, 21762610, 19704550, 19249411, 70737589, 23948815, 24766906, 44074122, 32908317, 23136344, 4519966, 63149308, 12596429, 43076009, 10821066, 7492623, 38875822, 19222845, 15727200, 5232805, 58884049, 43184542, 119786801, 9350717, 80789424, 5069508, 28728388, 99613034, 69695486, 60881301, 146392488, 21571738, 95185327, 249562248, 31533926, 27382384, 1250663, 24390536, 19606445, 37495361, 250830, 9219250, 6185422, 83135938, 1819671, 54314133, 87110961, 4241466, 64698803, 129670957, 42261887, 59881781 ], [ 5468845, 58288809, 21464014, 92065302, 25910147, 7829423, 9546680, 130453420, 47429823, 22783534, 60840185, 55136879, 4691642, 59370111, 32190330, 117797821, 76141940, 148363555, 51287163, 56392526, 29984501, 118009155, 54507159, 34088334, 1830157, 47168326, 37045815, 8874972, 4139590, 9811063, 71730106, 114132471, 47875598, 91141172, 9919743, 23372866, 102069837, 11986853, 53354759, 48807174, 161630182, 66314528, 98787651, 744442, 140478244, 10151165, 17429274, 145062040, 58222733, 89121664, 26014536, 35578335, 10411787, 49755262, 47110452, 10654555, 51257789, 8221730, 14648640, 16330527, 41515455, 6793147, 33395442, 28309703, 1958271, 8767110, 131606927, 49338981, 17798266, 11128502, 17566760, 73698525, 26179740, 60270550, 89601601, 56691253, 39107390, 40748959, 29846511, 19249411, 45404420, 34391100, 24766906, 90290518, 126310621, 23136344, 21296331, 97682567, 36523646, 42394370, 66673514, 7492623, 8702321, 19222845, 141771750, 5229812, 45585018, 15323433, 110766261, 21686344, 84063563, 22447868, 22173503, 76427133, 18629613, 191618995, 144230593, 50434978, 35164341, 80459947, 135164775, 152283894, 62702179, 102948098, 88138403, 9524705, 14187457, 43063736, 24346444, 22717768, 7805551, 119956702, 42386113, 67371950, 127778075, 306629280, 32505446, 158189237 ], [ 73278332, 13262061, 40672129, 4412698, 100401513, 38081745, 29738778, 7341564, 11338106, 22783534, 150685462, 17470031, 41594950, 42278554, 60931390, 508383, 71932329, 172427112, 61191946, 42960394, 97659573, 7191698, 16621108, 34088334, 15072477, 47168326, 16674892, 44688490, 85673659, 21147669, 14630227, 30479417, 13192576, 1422517, 96646784, 22598478, 85660278, 330652159, 22981472, 36700884, 44288010, 13424672, 84011763, 14539178, 106813252, 10151165, 46963576, 33027000, 7675613, 12824049, 45360791, 10030682, 15119195, 49755262, 23663798, 58717323, 134667349, 4698523, 26246066, 27143142, 33873880, 35379752, 18045732, 57173112, 110599999, 12519479, 109768488, 3934247, 58033744, 196430, 94932526, 115550342, 171319499, 11171053, 20588532, 56691253, 1375471, 62078491, 39037931, 14881854, 59944870, 19213264, 24766906, 45077948, 48897944, 23136344, 12729630, 127237482, 36523646, 12742233, 28854300, 149185392, 10016507, 19222845, 6546927, 28353269, 29930575, 43573138, 34447883, 12353703, 191319133, 108130975, 12046729, 88710090, 53975258, 14180180, 46887196, 209883995, 84580082, 29184568, 111169812, 25553150, 34900327, 75091584, 49127354, 77874438, 122363455, 134966170, 125689619, 22717768, 7805551, 63339542, 6464083, 60824456, 151005702, 114429649, 32505446, 8385885 ], [ 58835348, 13262061, 9024081, 4412698, 94269496, 7829423, 5481880, 10728620, 11338106, 77985592, 42493755, 23394092, 61872393, 43984272, 60931390, 18825598, 18518610, 10648837, 2898306, 12230160, 29984501, 32090228, 54507159, 25802137, 8151623, 47168326, 16674892, 161105502, 36979083, 9811063, 32318278, 5892132, 68969608, 19490018, 32178934, 14345099, 31600162, 78204615, 9985536, 49588790, 20265390, 19494935, 34362516, 14539178, 1966684, 5564078, 16984205, 5528881, 60233218, 12824049, 26014536, 36602426, 12789386, 49755262, 74241463, 10654555, 62931609, 23786717, 14648640, 15659086, 61606123, 35379752, 10055390, 28309703, 37868488, 4770883, 109768488, 11729070, 34567591, 8937545, 59067888, 104722467, 26179740, 11856924, 6876818, 94449962, 44319581, 8338280, 19353368, 26225179, 70737589, 33612121, 24766906, 51560666, 8841244, 23136344, 38087537, 45723755, 20555353, 11347502, 28854300, 12856209, 23401976, 19222845, 18521790, 62454713, 37119810, 3374612, 90706319, 9350717, 99626762, 22447868, 22173503, 28666453, 30821369, 55537641, 57020020, 18029310, 26093144, 92632129, 23350213, 28438216, 3314149, 75181303, 43192231, 34240579, 3207842, 8694502, 24346444, 76513812, 7805551, 52548562, 6464083, 31224910, 15036074, 74719192, 13486249, 8385885 ], [ 42188445, 13262061, 77331208, 157120283, 25457154, 24281015, 29744760, 2963064, 4689528, 43540580, 114943323, 74243328, 79737089, 63070458, 57273016, 63370014, 44258547, 84804875, 49545430, 113435144, 29848094, 18668245, 54507159, 248964162, 15072477, 47168326, 70439458, 71426055, 28364289, 18419991, 33422527, 4131998, 33744510, 19490018, 57270658, 31648323, 51734252, 81995761, 23580742, 64448995, 122282160, 74514401, 7915320, 124972417, 39853586, 55750092, 46963576, 118014743, 122927825, 93222198, 26014536, 86665551, 15119195, 67955405, 28838023, 21817399, 21636417, 212567652, 107967809, 12787985, 158349795, 56298928, 104240895, 70102573, 70686643, 37695852, 9199391, 12612580, 16242110, 11128502, 59252576, 5975129, 2585693, 12467909, 86380955, 50789888, 1375471, 31343280, 145075117, 25902393, 46873405, 19213264, 16703008, 45077948, 19154073, 25287032, 53035391, 123070511, 266205993, 73828439, 28854300, 13770022, 77572742, 19222845, 25784813, 5232805, 33930366, 43573138, 22317967, 13411347, 25234297, 79870237, 64410245, 13618800, 64269649, 71757534, 150724612, 43313435, 81030732, 44889348, 43644912, 18245555, 6341216, 19559198, 19912328, 26394224, 6278682, 9219250, 162226585, 46284877, 185140966, 36431657, 4000571, 12797032, 77965788, 81396539, 39011870, 16126660 ], [ 6925873, 15868218, 14916627, 25456909, 1773737, 7829423, 29738778, 22419451, 11338106, 16677736, 22697464, 17470031, 52047471, 39175709, 57273016, 21034128, 35635354, 172427112, 54252897, 111621029, 29984501, 46042705, 21713276, 16439853, 15072477, 4824870, 70439458, 1304284, 33990150, 9811063, 32277706, 30479417, 33588870, 87829367, 22427269, 18914570, 85660278, 90589342, 47226118, 13710501, 51923790, 17280545, 49905013, 11997696, 85409986, 10151165, 10950694, 60565010, 51647365, 60223950, 68774826, 87331021, 11618956, 11660676, 49952606, 13802806, 62931609, 71019915, 3854255, 31897130, 43935746, 146962618, 33395442, 63943865, 2663878, 23458859, 34312908, 3934247, 63046026, 9746900, 140177897, 102620064, 10258276, 20330484, 20588532, 17535400, 79603216, 25369199, 50338537, 26225179, 10928238, 5570609, 24766906, 45077948, 14493592, 23136344, 26556088, 34238774, 52984891, 15850384, 75661415, 9721247, 23401976, 19222845, 105264521, 5229812, 47946239, 43573138, 8006431, 3962925, 123240823, 22447868, 22173503, 13516890, 28646826, 1543963, 71694256, 84200787, 18376199, 39156272, 61095571, 20229549, 7570150, 13069568, 17814667, 2138343, 31739658, 31934816, 24346444, 46284877, 7805551, 54314133, 37426293, 35781802, 40782327, 44785241, 21178790, 8385885 ], [ 19694659, 97085922, 91521943, 85872254, 25910147, 88044602, 66937712, 41655514, 1554397, 16677736, 10278007, 74243328, 16948464, 62186854, 23609316, 69899350, 26474419, 13214978, 188559672, 91072366, 17088587, 46042705, 7097485, 34088334, 4836413, 34508020, 16317844, 20196940, 36979083, 9811063, 50069238, 30479417, 28190702, 53225456, 85518620, 22598478, 61329135, 10322919, 86884185, 37153598, 74983223, 9182292, 90763939, 30588519, 1966684, 10151165, 46963576, 25287973, 7617318, 52133795, 4878365, 70312845, 45328380, 49755262, 14200983, 10654555, 51976478, 35165228, 39065278, 82513676, 35213388, 116552131, 33395442, 63943865, 104789369, 32473621, 107754139, 20876282, 143325390, 11128502, 101377208, 6038789, 26179740, 6787830, 7722635, 27513130, 142157452, 62078491, 39294108, 26225179, 12183523, 44235816, 24766906, 59730645, 36719452, 8072599, 46529801, 143590005, 47087107, 57914762, 91298585, 85391591, 23401976, 19222845, 97838497, 5229812, 130051118, 43573138, 8006431, 32328827, 31953348, 8075834, 22173503, 36786239, 18629613, 2904225, 1030147, 42489543, 90381181, 85170251, 26874402, 66045757, 1250663, 174457815, 34187618, 77874438, 123359600, 26626145, 18050038, 51565532, 7805551, 67476139, 85358323, 1264245, 73978516, 66032977, 15608376, 6000403 ], [ 138896749, 17519231, 91521943, 17394282, 37026651, 2490300, 122842062, 10728620, 47429823, 90094578, 19436251, 15642840, 8799657, 177384777, 35881504, 86092540, 44258547, 12236724, 33743213, 105617754, 1549220, 134679717, 49929162, 25802137, 15072477, 23604150, 16674892, 46274253, 28539589, 21147669, 5097332, 19817873, 30244224, 33794698, 9919743, 34571402, 140274632, 60940544, 9985536, 56488454, 35463597, 21288678, 88954935, 108193503, 3540397, 5564078, 46963576, 25664267, 89261922, 29578347, 26014536, 8049892, 149756637, 46142293, 57797426, 5670513, 55492492, 6044690, 70705532, 53840424, 64474081, 76055172, 10055390, 7525681, 9131398, 4770883, 16083218, 3446680, 6005507, 11128502, 47738403, 56259894, 11976427, 83174504, 34106109, 28364330, 4078540, 31062987, 31902692, 26225179, 36250338, 46523739, 24766906, 125212268, 8841244, 103501573, 39298383, 33878282, 2301376, 5329061, 40564702, 7492623, 76512116, 16402299, 62289908, 102030805, 205746004, 3374612, 23512366, 35531499, 83367690, 79870237, 48659214, 13618800, 97068879, 77268489, 145301716, 79723523, 62169313, 122303191, 31533926, 43746351, 17980645, 59317702, 36793706, 53110477, 221657, 33387298, 62856254, 7755034, 7440492, 67476139, 85358323, 62165673, 62547840, 72407566, 16026912, 35937010 ], [ 21558405, 21603521, 9024081, 50682523, 97635689, 2490300, 69795680, 10728620, 11568794, 77985592, 19436251, 74243328, 24388200, 43984272, 84375885, 4605955, 18518610, 12236724, 8663824, 12230160, 29984501, 11649343, 54507159, 1526538, 6633985, 285087, 16674892, 5432891, 4139590, 9811063, 5097332, 9752379, 32878881, 51458735, 4133651, 34571402, 26161693, 12448949, 9985536, 42141410, 69400331, 21288678, 32764349, 53333722, 95269300, 5564078, 4572319, 5528881, 89261922, 41380616, 24144608, 4856150, 12789386, 3399258, 74241463, 13802806, 27033352, 34742023, 11163758, 17090967, 14715962, 97305873, 33395442, 32744536, 48619811, 4770883, 12252603, 11729070, 33824832, 8937545, 1927362, 68344054, 26179740, 1839938, 20672687, 31302925, 48982349, 43988455, 65844272, 19249411, 36250338, 10203834, 12952238, 38771833, 8841244, 8623235, 94724971, 61141684, 19770437, 5329061, 97068254, 6590307, 11638314, 19222845, 16862142, 5232805, 5674697, 26649932, 46120806, 9350717, 70544793, 22153127, 21893811, 18143679, 19937624, 58838564, 14934828, 3070446, 996491, 17394238, 31533926, 203504414, 17980645, 75181303, 36793706, 77874438, 221657, 13882134, 24346444, 22643413, 7440492, 67476139, 8146053, 62165673, 62547840, 35560267, 23836753, 59881781 ], [ 12732776, 13262061, 27156500, 48355756, 33277103, 7829423, 52385941, 10728620, 11338106, 33219683, 19971613, 28429720, 20820311, 47057724, 21782740, 4605955, 35635354, 10648837, 51287163, 56392526, 1549220, 46042705, 21156199, 21110622, 101437440, 3571107, 1423423, 2566108, 4139590, 21147669, 32318278, 26870932, 36464281, 99465199, 37509019, 22598478, 63181153, 39176279, 12077891, 14931613, 36683293, 39668587, 40518064, 2489092, 36597070, 5564078, 13451784, 28538266, 22152585, 16995838, 49869830, 72386568, 90964478, 28863318, 8394743, 47283283, 21644280, 6044690, 25272896, 62850300, 18475382, 826623, 33395442, 10703012, 28367226, 20575436, 18879973, 11729070, 25329720, 8937545, 22704879, 27346382, 37950454, 59467860, 57773425, 55379925, 48982349, 90102240, 22048611, 19249411, 32493171, 33612121, 24766906, 150441321, 8841244, 23136344, 9650165, 34969278, 52984891, 980565, 1357031, 7695343, 8702321, 19222845, 9599062, 5229812, 18040913, 15323433, 21241128, 24324072, 72408815, 6227883, 56859134, 38917360, 28536066, 18528449, 14934828, 80468152, 20342060, 8488518, 808038, 98075706, 119015140, 37468453, 13767313, 13721683, 106532175, 20705060, 5759422, 51565532, 46845085, 67476139, 15840429, 30294394, 123996136, 45963881, 54237163, 8385885 ], [ 12732776, 86128124, 14696571, 152346819, 43206558, 7829423, 52385941, 60297867, 11338106, 63191051, 46597831, 80333489, 20820311, 42634458, 51553314, 13112516, 35635354, 118083716, 36161704, 77900533, 29984501, 58071436, 54507159, 34088334, 7224668, 169774264, 33703884, 33230295, 38664319, 21147669, 136375352, 85414496, 92420806, 41186532, 48997942, 19378451, 78993718, 99532631, 58347541, 76040168, 36683293, 59415703, 114412716, 52181735, 77645513, 10914927, 2142306, 18394658, 236871568, 179745740, 26014536, 87331021, 45328380, 67955405, 60494061, 10654555, 131719750, 35165228, 11163758, 46451176, 35213388, 66901230, 33395442, 23951579, 77097147, 74412992, 12042070, 8212432, 114870372, 79556660, 126676667, 154840611, 40435947, 151278554, 187907533, 116247650, 3888861, 61861274, 62719033, 441530, 152938500, 7202544, 22725182, 39497832, 9682972, 22430047, 26544004, 92422730, 87350773, 73828439, 101500, 25403399, 8116193, 19222845, 118353617, 5229812, 2283994, 43573138, 272014843, 39331384, 22953946, 15764238, 174812488, 31805790, 20066612, 8507248, 1030147, 27650052, 35164341, 66743373, 41670577, 20569282, 34900327, 67785931, 53581850, 13721683, 123359600, 82271661, 39902837, 34438843, 105088559, 67476139, 37426293, 47118597, 80751003, 86728952, 91047311, 8385885 ], [ 26167352, 35377472, 13753573, 22543064, 136245013, 19122126, 34444996, 158286768, 27084367, 17246812, 23414985, 69354034, 6116661, 15543686, 54450694, 21736456, 75252243, 10053466, 83868281, 12230160, 69861726, 41601143, 7097485, 78457523, 35039571, 455495, 5164034, 50283966, 4139590, 21147669, 65435663, 125669078, 37924836, 103716003, 46408474, 15893949, 56163086, 109930363, 9985536, 15027481, 123251844, 8268684, 374018, 107106667, 17327896, 12349849, 47033717, 11812863, 64547624, 41380616, 26014536, 70627152, 12086014, 21139736, 98129014, 86751626, 29652311, 6045037, 37915917, 105032989, 64474081, 108050910, 1350305, 7969807, 24005170, 4770883, 6272103, 313465, 4426774, 11128502, 27213168, 27231909, 1721996, 60270550, 28568245, 111852234, 66406866, 54262223, 52479638, 19249411, 129403970, 46523739, 73106493, 131598524, 78157342, 7244825, 4519966, 37371726, 55075676, 11347502, 27460128, 33766378, 245735050, 19222845, 9963648, 5229812, 95915745, 21550110, 49881109, 123729475, 12257796, 75417389, 48659214, 18175114, 36468319, 52912078, 16100879, 139454658, 26093144, 94194490, 31533926, 78714924, 17980645, 24390536, 59576167, 77874438, 221657, 2726960, 7713133, 31463377, 223565237, 54314133, 117974204, 32373667, 20908023, 31956223, 13486249, 81159617 ], [ 56408577, 13262061, 74388759, 52262630, 85942482, 19122126, 149066583, 10938352, 47429823, 21748506, 22629165, 52472405, 71615469, 13920403, 50053741, 106614122, 121259239, 10053466, 51287163, 12230160, 69861726, 46042705, 23508368, 5676459, 15072477, 455495, 49802944, 46274253, 15008200, 9811063, 46945920, 35171608, 29973563, 528225, 5408918, 29029864, 28888652, 21685856, 82979194, 48807174, 21299119, 8268684, 374018, 744442, 17327896, 109407790, 46963576, 11812863, 101150932, 40548519, 26014536, 86665551, 7973560, 67955405, 74241463, 13802806, 55492492, 6045037, 9193691, 17090967, 64474081, 163526627, 39762022, 7969807, 116251828, 34035772, 9903185, 313465, 23333317, 11128502, 27213168, 4843872, 26179740, 52015619, 20588532, 67053694, 21526573, 90102240, 52479638, 26225179, 76332171, 46523739, 24766906, 16976377, 1347547, 7244825, 172479042, 14290980, 52984891, 5362144, 76159176, 7492623, 29804875, 19222845, 60854711, 91311068, 5674697, 16829863, 65524676, 32328827, 477624, 6227883, 48659214, 5648562, 51408379, 58838564, 16100879, 30981901, 60066507, 138023184, 60361613, 16284884, 34900327, 8701297, 2418524, 77874438, 221657, 102563415, 7713133, 90507478, 20933357, 30146841, 85358323, 55938902, 69861323, 169227122, 4450784, 54727878 ], [ 48319627, 83328899, 51434933, 360912791, 25910147, 7829423, 17837375, 130453420, 406726143, 71013518, 111297908, 17470031, 48679717, 59370111, 228818974, 24380805, 76141940, 58008113, 72953769, 138673085, 155369916, 46042705, 48133062, 34088334, 36241203, 43176167, 33382862, 19528142, 4139590, 9811063, 3901026, 61524063, 24847453, 15439603, 9919743, 29797004, 78427061, 177826395, 189868541, 48807174, 9632481, 39668587, 1276120, 744442, 1351015, 10151165, 21595824, 98336023, 34932760, 55932329, 26014536, 78383290, 39235449, 11660676, 16043503, 13802806, 55492492, 8221730, 11163758, 16330527, 189633625, 53945050, 71604022, 55764009, 46793748, 137077539, 107754139, 26616868, 17798266, 11128502, 47738403, 73698525, 21045189, 48118407, 20588532, 116247650, 39107390, 87277172, 29433047, 19249411, 45404420, 40835124, 319698831, 26791723, 43160855, 23136344, 19628081, 38692286, 52984891, 73828439, 56728138, 7492623, 8702321, 19222845, 62289908, 5229812, 113461032, 14809882, 82813620, 32328827, 30869059, 22447868, 22173503, 44312674, 18629613, 169419285, 67413215, 54998635, 35164341, 3674981, 32369198, 70875298, 62702179, 139511533, 240354627, 71561743, 64456563, 26257979, 24346444, 83135938, 7805551, 67476139, 49654188, 16510963, 133945209, 192306503, 16026912, 69968347 ], [ 192298432, 25627318, 38302858, 37182534, 136245013, 38081745, 19673885, 10938352, 90495852, 65059950, 94819122, 74243328, 46287442, 65401774, 60931390, 215268745, 18518610, 148363555, 87988973, 21811876, 29650150, 29555188, 54507159, 13570873, 8151623, 31664441, 7304708, 101308589, 4139590, 21147669, 16904080, 48525486, 53822204, 91141172, 29515582, 121188832, 35847495, 242374088, 58347541, 88624977, 188043164, 37945067, 8540325, 14539178, 24402478, 181581527, 93413578, 145062040, 236871568, 41380616, 26014536, 87331021, 10411787, 168794042, 98129014, 66409046, 20975573, 20700434, 129080427, 101342996, 137469791, 134825481, 33395442, 74046888, 1958271, 63855500, 31291139, 101493367, 47682081, 11128502, 84929942, 113098985, 104330210, 13752420, 22960791, 29923587, 65833966, 133412477, 137124530, 19249411, 25861665, 19377587, 44668333, 67433929, 100146968, 21484554, 21296331, 28151729, 36523646, 16752707, 119485024, 59840247, 54576129, 106788729, 20286424, 5232805, 29930575, 43573138, 124881104, 118259672, 227289164, 45959361, 26338059, 315305149, 34907452, 230079519, 57403827, 185295986, 26093144, 34263153, 31533926, 143970678, 82675553, 353008969, 66486379, 3410255, 4420357, 43063736, 37044677, 8232945, 43942944, 36992373, 48791520, 78707398, 113887119, 144915952, 13486249, 158189237 ], [ 5468845, 36539407, 21464014, 133749724, 136245013, 7829423, 60053269, 278551602, 38287591, 280269153, 89253374, 74243328, 45110786, 89736295, 50053741, 348893576, 193818367, 172427112, 348611089, 21811876, 48757041, 46042705, 48133062, 13570873, 53819877, 491092301, 163965382, 216126458, 148252446, 21147669, 81379617, 252392546, 84414424, 592813238, 22362699, 195113050, 277657016, 4832556, 208418226, 194479144, 56845272, 39668587, 453124084, 124972417, 212309126, 57317810, 143883889, 22918316, 92960634, 136313670, 337094882, 110490243, 78337400, 351252301, 26888288, 34775875, 22877542, 70360735, 66967279, 294779666, 416883383, 163526627, 166247101, 89509321, 36413094, 23458859, 31291139, 101493367, 483577554, 11128502, 62886761, 298896724, 16511598, 13752420, 213334600, 116247650, 206985948, 90102240, 227961217, 220942899, 334235957, 75987369, 224874432, 26791723, 425399259, 23136344, 207155672, 28151729, 52984891, 148005474, 89650984, 74663741, 197855410, 293828180, 60854711, 309113711, 397986618, 43573138, 61738332, 32328827, 225651135, 115583993, 51029709, 127794471, 15764581, 36643396, 36849268, 67370304, 35164341, 354440483, 364340403, 143970678, 41039970, 863789918, 232930481, 44991162, 123359600, 106765237, 162226585, 184539001, 17891998, 562144877, 142662399, 78707398, 106428568, 4957152, 116591466, 158189237 ], [ 1420552, 30243011, 46349205, 53684186, 217259, 7829423, 34444996, 2963064, 5863279, 16677736, 102516458, 14817532, 5021954, 97544519, 57273016, 15234823, 40855158, 44778422, 12583314, 12230160, 29848094, 83754180, 45201766, 35448400, 15072477, 43176167, 46679972, 31043805, 19995754, 9811063, 35615106, 31080677, 17863755, 12880190, 20098098, 41163899, 28206469, 39566957, 23580742, 2472168, 11142073, 9182292, 114412716, 124972417, 1994469, 8738751, 29968857, 23554704, 4656625, 3383382, 26014536, 23471616, 6903960, 24706978, 74241463, 13802806, 32519697, 7865970, 117059886, 82513676, 43117440, 20034684, 11447161, 4081438, 47388679, 73314528, 77986125, 20876282, 17521143, 11128502, 5257902, 9282362, 10258276, 6787830, 105449809, 17130329, 23037518, 31134821, 24397799, 9000216, 34174321, 73455007, 24766906, 12665720, 127956508, 70185584, 32312309, 34969278, 74453127, 21258094, 79797849, 365274, 20417441, 19222845, 31924856, 75897377, 9904138, 43573138, 104226533, 19109869, 6496455, 22447868, 22173503, 14922321, 37761538, 10148911, 2331077, 3824292, 35164341, 10655704, 49793696, 20229549, 34900327, 82428980, 12780855, 9524705, 60428375, 9219250, 24346444, 34438843, 7805551, 8843902, 29551890, 35781802, 100424725, 24325679, 34395922, 48756787 ], [ 112530936, 36199593, 30199885, 23371577, 33277103, 7829423, 11334436, 10728620, 5863279, 25782497, 20364062, 10829546, 25416659, 13920403, 110703301, 41794532, 35635354, 69607594, 12583314, 138673085, 29984501, 1032360, 25690881, 548401, 21710163, 2979008, 47051623, 17644152, 15008200, 18419991, 25200474, 51762419, 21803608, 19490018, 9919743, 45574469, 62439946, 52916695, 11672916, 37153598, 10569261, 28262806, 12920141, 79070943, 6999984, 10151165, 22487531, 28538266, 27658597, 3383382, 19779246, 14484371, 6903960, 29808462, 3646078, 1412609, 80367055, 10817255, 11163758, 17090967, 32368012, 112864274, 11447161, 4081438, 77097147, 15074187, 55101463, 5412935, 6005507, 11128502, 5257902, 19106250, 89339897, 6787830, 66806539, 47506981, 52492171, 63287008, 2203688, 18724494, 41445570, 629887, 11914058, 1111414, 32908317, 23136344, 32312309, 82065964, 9535770, 2286215, 28854300, 7492623, 8702321, 19222845, 62289908, 5229812, 35003869, 15323433, 6461659, 19109869, 6496455, 13969355, 3172646, 15381447, 100601120, 2904225, 102658799, 43313435, 7958284, 29267038, 25447622, 99189219, 60973921, 16246892, 12780855, 13721683, 46436666, 9219250, 39902837, 22717768, 7805551, 9761493, 6464083, 4241466, 1301434, 4957152, 11884234, 8385885 ], [ 82816544, 25627318, 91521943, 74511019, 136245013, 7829423, 74452747, 41655514, 22691949, 16677736, 33741451, 28429720, 34019496, 42278554, 110703301, 41794532, 18518610, 40718045, 5312691, 23242567, 75296911, 83754180, 54507159, 34088334, 8151623, 82412900, 10281903, 46833787, 49492879, 21147669, 16331973, 220132, 13192576, 6729956, 9919743, 107832548, 78265624, 125350875, 9985536, 109689335, 161630182, 124550739, 84751845, 53333722, 24652354, 48317508, 96064311, 39450044, 192171706, 3383382, 26014536, 30257612, 6903960, 12397346, 92012273, 11735842, 179471924, 57345974, 68601867, 37535908, 185289642, 35379752, 11447161, 7583208, 104789369, 4770883, 131606927, 71913506, 50326426, 11128502, 5257902, 28228757, 104330210, 11856924, 189977891, 76478636, 52492171, 10574149, 169109617, 12573529, 5989126, 180617129, 11914058, 1111414, 12184028, 23136344, 32312309, 143590005, 75863368, 73828439, 1357031, 7492623, 78426205, 19222845, 62289908, 5229812, 29930575, 43573138, 169212428, 118518227, 86440025, 79870237, 24964784, 331193925, 51603924, 10148911, 16413525, 19964998, 35164341, 63829230, 26595740, 75624451, 17980645, 44661033, 12780855, 77874438, 46436666, 9219250, 19888394, 94962878, 43942944, 9761493, 48791520, 4241466, 23136354, 144915952, 78457530, 123716021 ], [ 669828, 22529708, 40672129, 47204528, 33277103, 7829423, 14591171, 24077093, 31770205, 41997364, 56884539, 7287072, 45110786, 2286612, 49382248, 26238577, 35635354, 58008113, 12583314, 12607340, 48046939, 29555188, 48133062, 9848620, 45303754, 43176167, 151113013, 134186777, 11560767, 9811063, 59168358, 17945446, 44206444, 3345264, 9919743, 168479921, 26677396, 397428345, 12969820, 149527704, 15264729, 83247283, 25489529, 78562924, 86821913, 10151165, 459978501, 11190101, 110434910, 3383382, 62766606, 10030682, 78451727, 49755262, 17366602, 13802806, 179471924, 64185138, 14648640, 221127417, 161689465, 48287149, 38504136, 23951579, 43276634, 137077539, 3148072, 80353712, 114346818, 11128502, 5257902, 39351485, 26179740, 31690855, 20588532, 116247650, 29448859, 32579347, 95255415, 167507113, 136839348, 85794052, 12441711, 26791723, 228060825, 23136344, 192082432, 76525916, 95843728, 60384687, 166448149, 7492623, 8702321, 19222845, 9243788, 44916132, 44691167, 15323433, 69736165, 49412346, 38645547, 22447868, 22173503, 41082837, 149563232, 29858419, 4744272, 8653599, 35164341, 159584651, 31533926, 152283894, 108892514, 6531870, 15882741, 71561743, 14187457, 18666665, 24346444, 806488, 7805551, 67476139, 97559456, 78707398, 7245518, 49757387, 73978564, 4334444 ], [ 3232059, 22529708, 9024081, 30637130, 96333112, 143782622, 53356002, 130453420, 11338106, 113450913, 45131046, 48847737, 1954083, 174118816, 50053741, 13112516, 7619152, 366882, 148575548, 108731048, 29984501, 2888989, 52292132, 34088334, 46182270, 11444678, 17558543, 46274253, 36979083, 9811063, 105043911, 17945446, 77628205, 30705108, 9919743, 36446164, 154444328, 46274892, 14852364, 36700884, 73803593, 44975384, 11857120, 744442, 64752434, 146293270, 17412049, 59332556, 24586363, 23386288, 12095472, 35578335, 161036725, 21139736, 17366602, 10654555, 7912709, 7865970, 14648640, 218819939, 10951979, 163526627, 33395442, 27627406, 758187, 8767110, 43569204, 20876282, 77739796, 11128502, 81048222, 220884734, 26179740, 139387058, 55101405, 44388396, 39107390, 149540312, 24397799, 2983819, 126647814, 629887, 54757914, 147721228, 25914649, 23136344, 109281023, 34969278, 35901352, 10020167, 163706045, 7492623, 72584172, 19222845, 19157648, 5229812, 44055985, 43573138, 8006431, 9350717, 22953946, 22447868, 48659214, 132992065, 115986847, 115479565, 47583747, 106257909, 35164341, 48503409, 8198026, 52621892, 93898343, 70427007, 53156055, 9524705, 14187457, 36858617, 24346444, 22717768, 51613150, 54314133, 42386113, 41760526, 133945209, 9576295, 4027740, 8385885 ], [ 6925873, 97085922, 91521943, 214229551, 66229473, 7829423, 34444996, 164801746, 31816588, 73604414, 137629164, 55136879, 8799657, 34915693, 205191867, 13927614, 35635354, 148363555, 37552640, 14622772, 36346274, 99561417, 45201766, 63315534, 46182270, 46559750, 41477025, 12601532, 85673659, 21147669, 90105736, 72608530, 127974488, 423042354, 22724694, 22598478, 89979232, 40851815, 31734470, 132617706, 188043164, 44975384, 56238894, 107106667, 16964607, 12349849, 17412049, 127497359, 107619285, 101081493, 26014536, 55422644, 51512369, 21139736, 74241463, 15634040, 69399563, 7865970, 68601867, 186451887, 112539423, 71517192, 26970666, 160754148, 109739542, 6975885, 30982871, 3498867, 104308702, 11128502, 42743727, 57370478, 119224033, 9183287, 142869674, 39739330, 85345505, 36564773, 17731912, 88476341, 49723126, 77599817, 24766906, 152145799, 77254106, 158250553, 89586340, 143590005, 16187715, 73828439, 117188876, 40442044, 114887914, 13972587, 118353617, 5232805, 175769888, 43573138, 76326658, 43131140, 90727368, 15764238, 46124803, 114835017, 86386566, 90330258, 15897088, 16500462, 35164341, 132307785, 56854931, 72827213, 110295652, 259420844, 39482815, 77874438, 60428375, 23286481, 65373577, 10685536, 48659872, 54314133, 85358323, 78707398, 74621554, 1832243, 35693722, 75268922 ], [ 5468845, 22529708, 21464014, 43382058, 25910147, 39623665, 82241178, 23676124, 47429823, 22783534, 74776429, 17470031, 140851848, 25310052, 57273016, 88603212, 76141940, 17664931, 13840959, 16546424, 20594700, 46042705, 54507159, 34088334, 79409986, 43176167, 176075457, 10496250, 36979083, 9811063, 90105736, 28857644, 24847453, 91141172, 45833784, 145605512, 59625208, 52373374, 65235045, 23987576, 163213283, 16554010, 67042467, 744442, 141293504, 10151165, 46963576, 109368446, 77455240, 3148641, 26014536, 87331021, 39235449, 49755262, 74241463, 1432002, 179471924, 8221730, 14648640, 34407719, 123106573, 51651646, 145665073, 23951579, 124138703, 8767110, 12232, 20876282, 158167240, 3217472, 7055586, 36992856, 26179740, 118429636, 20588532, 73953910, 39107390, 23355992, 95255415, 7071017, 45404420, 99339, 24766906, 14250187, 48897944, 23136344, 107412209, 75984211, 34164230, 73828439, 142284667, 9952316, 23401976, 19222845, 62289908, 44916132, 21907709, 43075958, 46178442, 32328827, 13111456, 22447868, 22173503, 52793063, 18629613, 2904225, 47583747, 58570577, 35164341, 3674981, 43644912, 79397894, 22799841, 3457816, 88138403, 77874438, 14187457, 26257979, 24346444, 7755034, 7805551, 24773796, 48791520, 67371950, 86754375, 15123677, 32505446, 158189237 ], [ 4298335, 23326966, 91521943, 117514230, 125013236, 7829423, 41532827, 147990197, 47429823, 41997364, 151853792, 55136879, 45110786, 25310052, 57273016, 71614902, 98507634, 148363555, 284959674, 88379036, 96953758, 46042705, 54507159, 6185677, 1830157, 47168326, 22853199, 8874972, 5083551, 6468675, 92691441, 1452202, 130629805, 51458735, 75537874, 22598478, 15948992, 90589342, 131021875, 37153598, 162434893, 39668587, 100705599, 83719085, 7150152, 5564078, 17412049, 26167072, 102949115, 46392232, 24144608, 30257612, 74560294, 13554292, 47110452, 34775875, 179471924, 9172162, 14648640, 35416368, 53523994, 163526627, 29004805, 47980771, 180005608, 23458859, 12232, 57702952, 114346818, 11128502, 62886761, 57370478, 137409740, 257046501, 55101405, 76258876, 36851458, 40748959, 95255415, 59621376, 76332171, 5985245, 24766906, 35163687, 8841244, 9241107, 132896786, 34766411, 47087107, 25413000, 66673514, 11086176, 20264773, 19222845, 20286424, 103915445, 147499152, 41719036, 8006431, 22389531, 38645547, 8500480, 64410245, 114835017, 10214850, 150049881, 160122026, 43313435, 35164341, 1582967, 8198026, 31755823, 1135458, 97437629, 69246407, 77874438, 9365050, 9219250, 71714028, 51565532, 101036981, 67476139, 142662399, 78707398, 23136354, 107170228, 21267640, 158189237 ], [ 7735612, 97085922, 91521943, 36952558, 136245013, 7829423, 50325822, 130453420, 120285409, 88777570, 42961220, 27292223, 8799657, 62120632, 48200401, 89913439, 18518610, 21277689, 17577452, 81035179, 63525171, 78296034, 40985255, 34088334, 8151623, 4221199, 6786744, 46274253, 36979083, 9811063, 11870285, 22597188, 13784895, 19490018, 33296463, 43355376, 72417587, 21224022, 41004952, 64448995, 188043164, 7658704, 55363347, 124972417, 7150152, 69048485, 10632330, 5528881, 38316470, 67765782, 68694705, 35578335, 12789386, 63270843, 98129014, 13802806, 3149179, 7865970, 14648640, 17584145, 43117440, 14572170, 43873508, 48164330, 41179422, 23458859, 2235822, 20876282, 50326426, 11128502, 39448915, 78070573, 16950518, 12467909, 20588532, 76258876, 112854175, 24303836, 495000, 10429783, 33414981, 48006655, 27908052, 54954073, 45498841, 23136344, 69598431, 7014981, 47087107, 26076786, 28854300, 40442044, 80374169, 3742469, 10867071, 26346947, 47340093, 43573138, 8006431, 81208466, 15125154, 22447868, 64410245, 2842731, 6579830, 85782824, 74355201, 43313435, 11261624, 914881, 8198026, 44933036, 1250663, 13922407, 68779907, 9524705, 14187457, 9219250, 24346444, 15699761, 89242635, 76350134, 6464083, 21448437, 5101138, 61796311, 100679761, 65732532 ], [ 192282556, 73957937, 44621595, 8092660, 33277103, 7829423, 29422286, 106732355, 47429823, 42931638, 19369887, 65899109, 24388200, 10221460, 147782651, 13927614, 3767894, 6686027, 61191946, 4815791, 43361103, 142733418, 34949023, 34088334, 31517016, 47168326, 142789732, 31043805, 36979083, 9811063, 145809542, 70712698, 50808603, 19490018, 9919743, 22598478, 85660278, 88985422, 39196081, 26723723, 36108440, 21906710, 98787651, 24447404, 239318031, 5564078, 17412049, 5528881, 84387194, 20731466, 26014536, 58002015, 246096465, 21139736, 36566679, 13802806, 165524415, 136818848, 14648640, 3767974, 24436762, 14572170, 51595038, 8089399, 39293493, 23458859, 2235822, 3934247, 80456998, 11128502, 3837077, 14339896, 7075775, 12467909, 20588532, 76258876, 37367794, 91256681, 16064167, 108979105, 91734214, 48006655, 24766906, 77888265, 8841244, 23136344, 65709753, 34969278, 35901352, 5401452, 28854300, 7492623, 8702321, 19222845, 62676992, 5229812, 44055985, 15323433, 76326658, 3041598, 207298763, 16721000, 37542637, 28666453, 18354612, 35033547, 2331077, 108813166, 35164341, 48503409, 8198026, 152283894, 1250663, 194919342, 240354627, 9626590, 3207842, 36858617, 24346444, 51565532, 105648214, 16036264, 6464083, 78707398, 81256842, 18615545, 33560528, 82023210 ], [ 47394511, 97085922, 20551867, 157120283, 136245013, 12160093, 65861674, 10728620, 11338106, 41997364, 19436251, 50368910, 28250632, 146238047, 90202462, 275520263, 7619152, 125722950, 21654249, 15163429, 102304414, 26748326, 17975042, 34088334, 32404941, 47168326, 44716106, 79277097, 36979083, 9811063, 18764333, 1452202, 37924836, 12077847, 62623214, 28978786, 140274632, 33221467, 23580742, 54081881, 159303494, 15388715, 11857120, 40817484, 20220556, 3379781, 36948482, 33027000, 73303838, 52133795, 6266940, 20481205, 31024540, 175944293, 74241463, 13802806, 55492492, 182765512, 47056178, 90923096, 47499206, 36190378, 43978709, 70133496, 758187, 23458859, 131606927, 11729070, 6969703, 8937545, 58691418, 153228347, 10258276, 12467909, 179401276, 41036483, 64072588, 37893454, 10845223, 88889098, 34174321, 33612121, 24766906, 35163687, 128009434, 23136344, 71541590, 63061736, 33113321, 73828439, 28854300, 49991990, 10225545, 19222845, 7152899, 69996139, 25073358, 43573138, 34881830, 81208466, 34106062, 22447868, 26491410, 120276192, 63229648, 10148911, 73285170, 143265564, 2458123, 68911876, 31533926, 20229549, 34900327, 41701668, 138845373, 39529471, 14935790, 101292279, 13259227, 21113318, 7440492, 67476139, 6464083, 3030832, 70979084, 36308859, 39011870, 8385885 ], [ 133471564, 13262061, 91521943, 7150769, 30086569, 171690967, 81223123, 10728620, 47429823, 28696083, 24963752, 1616244, 44261417, 57850167, 12258353, 51959001, 20667027, 61864217, 69851796, 91072366, 29984501, 83754180, 17237959, 16439853, 15072477, 43176167, 147914446, 325756812, 16651970, 21147669, 2273841, 30479417, 28190702, 86439671, 110227749, 18914570, 48222143, 57957112, 23580742, 14601649, 139459555, 63148379, 90192887, 43944279, 45606178, 12349849, 46963576, 33027000, 92826717, 52133795, 26014536, 72386568, 45328380, 52772735, 14848039, 74916810, 55492492, 126702593, 11163758, 57637243, 64124675, 36211929, 33395442, 18645977, 110606740, 138820930, 131606927, 92715405, 106534241, 11128502, 80323696, 128499382, 62233714, 83174504, 137897006, 51136416, 123740973, 62078491, 48237347, 26225179, 19165898, 19213264, 24766906, 18073851, 26850711, 23136344, 83022485, 65261005, 94042713, 73828439, 191962791, 120288385, 8702321, 19222845, 20286424, 125005165, 47946239, 15323433, 18524312, 200396371, 34106062, 103740857, 12279330, 154933537, 34374270, 2904225, 95666824, 185295986, 2458123, 39156272, 31533926, 42917211, 147942757, 31420260, 52211992, 41450682, 114781774, 134744943, 6556908, 71535123, 159239544, 145592221, 27573745, 3053059, 26256355, 166270172, 37911299, 16126660 ], [ 108968604, 97085922, 91521943, 117570808, 136245013, 7829423, 81223123, 281574122, 226704427, 68929824, 119367130, 50368910, 71615469, 178444147, 27092423, 13112516, 228736908, 6340566, 32042364, 1967362, 29984501, 46042705, 54507159, 34088334, 46376872, 76257939, 16674892, 109224622, 45415185, 3799313, 14630227, 69081232, 130629805, 92320990, 9919743, 107832548, 231280088, 197098878, 42862612, 175182116, 117439424, 39668587, 98787651, 124972417, 143039660, 37449118, 16082988, 71391622, 389870615, 114644094, 5807040, 87331021, 25224759, 67955405, 24888264, 86751626, 179471924, 192223252, 14648640, 108112636, 123106573, 56202485, 33395442, 48164330, 222165366, 63855500, 119474728, 222233979, 282475208, 11128502, 162561907, 87713217, 27307485, 94003230, 164838577, 90967142, 100528911, 37893454, 80840877, 23045884, 162291132, 238223980, 65764568, 116009287, 71345950, 20410558, 343141409, 45756994, 35901352, 73828439, 95172109, 4681896, 80374169, 425153, 76137438, 5229812, 44055985, 36794977, 189228336, 32328827, 22953946, 53583935, 64410245, 248656432, 34087252, 6136708, 57403827, 33012513, 35164341, 18875456, 147594662, 129512264, 108892514, 41701668, 303024978, 44991162, 14187457, 103003022, 39027969, 94962878, 103526719, 59707201, 142443115, 78707398, 104069106, 98080016, 73978564, 1443833 ], [ 82816544, 13262061, 23163493, 22543064, 136245013, 7829423, 7683554, 19566613, 47429823, 16677736, 33741451, 34518685, 71615469, 13920403, 50053741, 101898456, 35635354, 109978502, 16111413, 26970974, 29984501, 41601143, 45201766, 34088334, 89940668, 47168326, 35728750, 46274253, 22297431, 21147669, 11037895, 30479417, 37924836, 19490018, 9919743, 51382419, 110122267, 57957112, 104910091, 26723723, 36108440, 3875632, 98787651, 1004199, 140013763, 10914927, 46963576, 28538266, 99622015, 78224680, 26014536, 82219332, 51243350, 52772735, 24888264, 58746990, 17143545, 63465833, 11163758, 33823205, 66163271, 55603114, 33395442, 32535140, 74641748, 5954598, 9199391, 5224622, 16242110, 11128502, 18298946, 31668833, 73522015, 12467909, 137897006, 41768460, 110310418, 22464142, 160339665, 49279826, 70737589, 46523739, 24766906, 14250187, 42126297, 2195641, 122076125, 84534261, 63463530, 73828439, 8720006, 7492623, 2224546, 19222845, 60854711, 5229812, 47946239, 20716534, 24291474, 65930614, 90727368, 53583935, 18592239, 15381447, 29603894, 30180049, 1311736, 7056005, 20953012, 68911876, 30999458, 113486486, 108892514, 16032351, 39972636, 3632897, 60428375, 9219250, 6556908, 12625905, 34534887, 87048821, 6464083, 35781802, 76355897, 3782346, 91575309, 41313697 ], [ 63235793, 83328899, 91521943, 50760341, 5044895, 7829423, 188805647, 41396172, 11338106, 53988238, 112662053, 12932150, 20993071, 174118816, 12258353, 79205732, 18518610, 8723864, 102987395, 40620308, 58969029, 4874411, 39892445, 34088334, 1830157, 43176167, 144176318, 961767, 4139590, 21147669, 17711503, 17945446, 18236008, 154216491, 9919743, 171320336, 85660278, 66521753, 1046269, 61987849, 7301499, 77346069, 88954935, 8600858, 37033709, 41088252, 46963576, 5528881, 43725232, 117913876, 6062175, 37872620, 12789386, 68082594, 47110452, 28456575, 114719847, 57345974, 5417472, 151382612, 307381591, 48287149, 38504136, 45052155, 25872681, 45044728, 131606927, 23199041, 36603489, 11128502, 18298946, 94644189, 27307485, 60270550, 20588532, 116247650, 142157452, 4232416, 10845223, 1081391, 85817213, 87127661, 24766906, 14250187, 27867932, 23136344, 67997478, 49389783, 35901352, 30310893, 7410673, 7492623, 30136489, 19222845, 107740441, 65146730, 9904138, 26820581, 102560157, 30702354, 59496558, 9498304, 54599133, 28666453, 108598905, 4696912, 3435798, 58570577, 35164341, 63829230, 31216632, 129512264, 12737509, 41701668, 54283146, 13207700, 14187457, 174222141, 56693518, 83135938, 37035196, 76350134, 142443115, 4241466, 212983826, 5703534, 54663602, 8385885 ], [ 1420552, 52344162, 33386280, 135265314, 33277103, 7829423, 34444996, 10728620, 19005004, 19976423, 10278007, 64525, 45321658, 154045893, 15320661, 193602125, 35635354, 139863810, 42310155, 25067792, 29356258, 66223794, 45201766, 1526538, 35039571, 285087, 64438711, 31043805, 4139590, 21147669, 17851763, 4131998, 28190702, 19490018, 9919743, 49659194, 48222143, 90589342, 23580742, 109689335, 122282160, 74514401, 12920141, 45341313, 29750484, 8738751, 29968857, 93302690, 84387194, 56346379, 26014536, 72247099, 12463154, 110193207, 19560718, 11735842, 60362423, 71019915, 11163758, 186529322, 58761287, 51921857, 10055390, 36769191, 64064068, 125194694, 117692617, 53716457, 23333317, 11128502, 27213168, 3453250, 68027754, 12467909, 76814743, 116247650, 142157452, 37893454, 26679701, 19249411, 77230410, 44235816, 24766906, 151467755, 228060825, 143099390, 143989921, 65261005, 93308644, 179174671, 28854300, 7492623, 8702321, 19222845, 107740441, 5232805, 26063013, 15323433, 46980226, 82379273, 25234297, 68795499, 27030575, 44385067, 34374270, 2904225, 38484741, 43313435, 11775402, 101687233, 31533926, 124052215, 108892514, 16286261, 23536374, 37966319, 33179873, 9219250, 6556908, 83135938, 53923074, 9601057, 6464083, 39389127, 223595272, 13483105, 34395922, 158189237 ], [ 48319627, 75324996, 13991602, 4208636, 2446570, 7829423, 18080651, 24077093, 241772670, 53988238, 42522121, 58519521, 760176, 63731525, 57179094, 53775700, 35635354, 44778422, 5312691, 6868206, 29984501, 66223794, 9176360, 34088334, 1830157, 95855413, 17388021, 87791470, 5083551, 9811063, 77253957, 17945446, 72624516, 128627471, 9919743, 18695247, 131099741, 192671809, 562100, 49583705, 161630182, 34735583, 98787651, 124972417, 69891208, 49281557, 11649338, 20604721, 287570676, 11368589, 26014536, 14748990, 47367407, 49539256, 98129014, 13802806, 75770217, 76086946, 11163758, 150693678, 161506761, 48287149, 33395442, 48164330, 25872681, 59579665, 40681939, 3422107, 21291350, 11128502, 114019912, 104722467, 26179740, 199177742, 33384915, 72557232, 20916765, 4232416, 44841138, 12573529, 162291132, 42548340, 186853709, 131295115, 6313052, 23136344, 90023559, 143590005, 334002, 8024891, 29046168, 7492623, 112610509, 19222845, 15727200, 5229812, 5674697, 43184542, 52107771, 30702354, 25234297, 22447868, 64410245, 84972655, 165357810, 42055225, 100143768, 20232511, 35164341, 8474801, 147594662, 19797370, 108892514, 147019294, 16244749, 77874438, 14187457, 10451778, 24346444, 18868967, 34819003, 116578704, 12131953, 4241466, 37146098, 45568316, 28458638, 4539843 ], [ 38272353, 32114180, 91521943, 102378605, 114882524, 7829423, 182108133, 11841380, 11338106, 5334134, 33741451, 60970584, 33479172, 12265261, 30353549, 66376001, 43877453, 148363555, 53515539, 115376743, 20093420, 11649343, 3681839, 34088334, 116671166, 3680525, 40000025, 93749838, 85673659, 21147669, 3925518, 12544171, 92420806, 87829367, 24431798, 93251341, 15558760, 12330597, 123466888, 11058832, 36108440, 37339234, 42794805, 99162052, 94402165, 5564078, 38907518, 2257890, 129972004, 10250753, 6062175, 33810309, 51243350, 1044045, 54048224, 10654555, 70054843, 81939193, 11163758, 28456691, 70060559, 116552131, 85025643, 74046888, 80090132, 23458859, 21701992, 5224622, 47188092, 8937545, 53822633, 77276022, 7384775, 97447020, 18474295, 32324560, 48982349, 10756494, 69656094, 99192824, 85742346, 629887, 24766906, 20825685, 8841244, 4610874, 74075798, 34969278, 103881721, 92191169, 24594983, 7356873, 96827506, 2279026, 182449844, 5229812, 47946239, 5567090, 17408166, 81208466, 19252734, 79870237, 64410245, 129950112, 29603894, 13305847, 2402960, 22296772, 2458123, 27818759, 26874402, 109796449, 84137826, 41584530, 47496978, 14555331, 93909608, 9219250, 39902837, 13513289, 3341621, 67476139, 35652117, 4034821, 86208856, 35560267, 24608347, 8385885 ], [ 21341086, 12894024, 33386280, 66718259, 3857650, 7829423, 81223123, 71961339, 11568794, 13635791, 30421189, 1616244, 12907702, 69439694, 12258353, 4605955, 35635354, 26676741, 5312691, 12230160, 29984501, 66223794, 36114349, 16439853, 47527318, 3571107, 16674892, 109373273, 4139590, 11209743, 32318278, 35759606, 40148963, 19490018, 9919743, 18914570, 48222143, 75643921, 28521023, 12252368, 11142073, 76866653, 98787651, 89045824, 29750484, 12349849, 46963576, 5528881, 14468355, 10250753, 16578177, 77024261, 51243350, 49539256, 74241463, 87103583, 53431549, 66324518, 11163758, 6610976, 19315989, 157641846, 24055500, 89509321, 113542778, 21279826, 31291139, 12512447, 1067378, 11128502, 17076219, 39280285, 16511598, 758428, 33384915, 29962433, 26633138, 24851588, 19353368, 11717066, 12183523, 46523739, 11914058, 58330475, 12184028, 23136344, 46094575, 21325163, 31459281, 11286161, 1357031, 7492623, 80374169, 19222845, 11233661, 5229812, 43236942, 43573138, 112670427, 28620372, 25234297, 24230525, 12279330, 26167527, 79147676, 13305847, 14861593, 21571738, 2458123, 27818759, 26595740, 62371700, 19988451, 3457816, 39972636, 1778507, 19798213, 10451778, 39902837, 16680246, 25785393, 18566907, 6464083, 30205204, 106428568, 22596477, 54663602, 20569385 ], [ 58835348, 12894024, 27156500, 107988613, 70251900, 60308249, 65503753, 117250155, 1554397, 187863642, 23414985, 55136879, 63393756, 60310853, 82691050, 125633438, 35635354, 64918122, 2635218, 25067792, 7183235, 3747843, 54507159, 60749655, 15072477, 455495, 2279424, 20196940, 16651970, 21147669, 14630227, 9444588, 25166883, 15044073, 14422102, 22598478, 59625208, 15739239, 9985536, 37851964, 74983223, 35644099, 76379845, 133566195, 3538355, 31313424, 45977162, 93302690, 17323077, 123341319, 26014536, 72386568, 39673329, 29646401, 23663798, 11735842, 69399563, 50073440, 89712240, 186529322, 43117440, 26244243, 43873508, 68155298, 42556680, 4770883, 131606927, 25273548, 3237237, 138417065, 27213168, 3453250, 10258276, 44910532, 77122006, 235806088, 39663821, 37893454, 44841138, 1081391, 76332171, 28654178, 24766906, 81945496, 86013145, 31938839, 9650165, 134674203, 23316184, 73828439, 90594670, 188876017, 37978214, 19222845, 20286424, 88201049, 33887047, 43573138, 18524312, 32328827, 126783323, 6227883, 1328670, 112236543, 130126005, 4696912, 19570961, 208187038, 18174393, 142381703, 31216632, 20229549, 17980645, 21796729, 8209036, 10016353, 2944512, 8694502, 152824457, 33083659, 161515961, 9601057, 62206096, 43439840, 178107413, 98080016, 15608376, 1734627 ], [ 14107149, 97085922, 81438998, 50682523, 136245013, 12160093, 34444996, 10728620, 47429823, 217636325, 111594686, 74243328, 71615469, 13949632, 12258353, 66664621, 35635354, 25228228, 51287163, 131129715, 29984501, 176407070, 21713276, 1526538, 15072477, 285087, 7538870, 5889911, 85673659, 21147669, 17851763, 38606700, 37924836, 30705108, 9919743, 35669216, 59625208, 100158668, 23580742, 26723723, 36108440, 15388715, 62927217, 40817484, 75937443, 16763258, 46963576, 37916518, 8380530, 61145266, 26014536, 7980156, 57723221, 28863318, 74241463, 12618545, 55492492, 105063003, 68832702, 117646528, 225196185, 35379752, 33395442, 18645977, 23182152, 240620, 118868889, 11729070, 117104408, 8937545, 22854196, 3453250, 192710377, 11856924, 222946379, 28364330, 39663821, 43988455, 24397799, 23045884, 32308424, 6306853, 24766906, 21883622, 26850711, 39818797, 106005254, 10302683, 85715657, 29302169, 68035297, 7492623, 20264773, 425153, 107146911, 5232805, 47946239, 32790822, 189228336, 81208466, 34106062, 8500480, 44500964, 274620989, 29603894, 115582686, 77177965, 4946534, 2458123, 8246687, 8198026, 14097061, 11621221, 42410436, 23536374, 77874438, 60428375, 9219250, 56693518, 20039741, 20933357, 9601057, 61771202, 70668870, 26256355, 102896638, 20692942, 1443833 ], [ 14107149, 13262061, 33386280, 36703392, 30086569, 30979996, 81223123, 9575149, 47429823, 22783534, 64468441, 74243328, 99964732, 13949632, 12258353, 209285621, 18518610, 148363555, 2635218, 60232861, 29984501, 34238619, 54507159, 16439853, 8151623, 11444678, 2279424, 22748138, 53745536, 21147669, 3661179, 70712698, 37924836, 15044073, 62623214, 18914570, 64450906, 13555557, 23580742, 16246749, 9952289, 74514401, 7749134, 124972417, 64752434, 47755804, 46963576, 59332556, 84387194, 176925783, 26014536, 649515, 12789386, 63270843, 74241463, 106487485, 62931609, 57345974, 38357054, 68004472, 45613577, 49707186, 24055500, 15008321, 21223115, 112718010, 131606927, 11729070, 50326426, 8937545, 94932526, 44330085, 143122204, 12467909, 137897006, 116768865, 142157452, 34125965, 10845223, 26225179, 126306295, 33612121, 24766906, 45077948, 51722331, 128829311, 18630531, 64816191, 225963590, 73828439, 28854300, 98617048, 53375586, 19222845, 9662602, 1468993, 29659898, 43573138, 104859824, 63858491, 34106062, 98509620, 64410245, 97394142, 108013928, 10148911, 92336986, 63785001, 2458123, 94194490, 49793696, 133559574, 34900327, 3457816, 54283146, 39529471, 72933922, 53582699, 39902837, 58670342, 123366204, 127380464, 6464083, 67371950, 55241413, 132466882, 32505446, 20220906 ], [ 11282156, 12894024, 27156500, 74511019, 1259187, 30979996, 81223123, 24077093, 11338106, 51802817, 37497957, 55136879, 71615469, 56950772, 12258353, 51959001, 18518610, 20522462, 44708668, 28941804, 11820343, 72913017, 28222504, 16439853, 8151623, 47168326, 16674892, 8874972, 4139590, 21147669, 32318278, 41544785, 40148963, 19490018, 9919743, 18914570, 140274632, 90589342, 101443266, 14017762, 11142073, 13424672, 49905013, 744442, 75937443, 126088946, 21595824, 63866968, 29601988, 123341319, 26014536, 57846589, 12789386, 52772735, 47110452, 11735842, 24442330, 21699071, 11163758, 57797618, 118360812, 28630473, 33395442, 59830151, 30342613, 6975885, 98447598, 20876282, 7445093, 11128502, 47738403, 53928286, 147884076, 12467909, 155837740, 39739330, 15179998, 37893454, 79283957, 19249411, 40305110, 80823857, 11914058, 23507974, 210577757, 23136344, 122076125, 143590005, 1064084, 43626435, 7890268, 7492623, 29804875, 19222845, 62289908, 5229812, 5674697, 16829863, 16438267, 11632480, 34106062, 6227883, 52840328, 44385067, 19451382, 30180049, 46887196, 130971020, 2458123, 63829230, 49795860, 51389732, 19988451, 31420260, 39482815, 39529471, 6292514, 30194707, 39902837, 83135938, 43942944, 175745198, 6464083, 25327513, 133945209, 49757387, 13252763, 8385885 ], [ 6925873, 97085922, 91521943, 52262630, 88741479, 7829423, 163186445, 227765, 16325894, 16677736, 11836062, 97110353, 34019496, 39175709, 57273016, 79205732, 14815085, 1320109, 14502095, 28941804, 8530473, 47181517, 48133062, 91592187, 8151623, 19474705, 16674892, 39720231, 4139590, 9811063, 32318278, 17945446, 22705191, 19490018, 9919743, 22598478, 31600162, 2909142, 106601424, 152459903, 56845272, 48769291, 49905013, 161639031, 33962363, 57317810, 541328726, 82196489, 144185530, 147982748, 26014536, 38680821, 12789386, 52772735, 10213565, 13802806, 179471924, 10537101, 14648640, 17090967, 2470016, 48287149, 38504136, 42752385, 119783, 8767110, 110304335, 20876282, 50326426, 65090767, 25442582, 28228757, 26179740, 12467909, 66806539, 94449962, 2159615, 93790243, 76316761, 1081391, 72730439, 36038136, 105240896, 23507974, 32908317, 23974405, 31450107, 71084935, 35901352, 73828439, 28854300, 7492623, 112610509, 19222845, 163961914, 34210754, 44055985, 43184542, 155275100, 22389531, 143390239, 9498304, 46124803, 43393970, 28646826, 4696912, 38484741, 2028917, 35164341, 85496512, 21326804, 152283894, 108892514, 31420260, 54283146, 59460534, 620983, 11279184, 24346444, 51565532, 146416411, 58038974, 6464083, 4241466, 74621554, 22383659, 54663602, 2032701 ], [ 109617484, 42944043, 91521943, 3203906, 90407784, 86859633, 2561797, 10728620, 47429823, 77985592, 22907577, 64039569, 62671332, 336181927, 12258353, 4448985, 32136359, 100916371, 106435934, 42642543, 14201346, 83754180, 54507159, 16439853, 15072477, 3571107, 144176318, 31043805, 36979083, 9811063, 17851763, 70712698, 33588870, 19490018, 9919743, 18914570, 115726853, 150539085, 9985536, 34063333, 131749997, 74514401, 77608895, 111911654, 24402478, 10914927, 15378634, 28538266, 84387194, 8700960, 26014536, 84385446, 45328380, 28863318, 62202479, 13802806, 4161656, 39826382, 178142128, 149653581, 192823254, 24647788, 33395442, 57173112, 2412463, 4770883, 110304335, 20876282, 94420609, 11128502, 320766306, 30585461, 26179740, 11856924, 187907533, 28364330, 110310418, 10001785, 24397799, 26225179, 72730439, 70360465, 11914058, 23507974, 75852891, 23136344, 122076125, 24808146, 36523646, 25591598, 28854300, 7492623, 53375586, 19222845, 107146911, 5232805, 26063013, 43573138, 228022515, 107343912, 60341589, 15546031, 26338059, 44385067, 108013928, 6358199, 2331077, 2028917, 35164341, 33265936, 31533926, 63579621, 17980645, 31420260, 54283146, 801913, 17784397, 30194707, 24346444, 22717768, 223485423, 45570904, 6464083, 12797032, 76355897, 44785241, 104040177, 20795764 ], [ 24175356, 12894024, 38914530, 157120283, 8318133, 7829423, 81223123, 2963064, 346816503, 189179111, 107526479, 58141178, 35578353, 63070458, 3774993, 51959001, 35635354, 48652304, 209460781, 69391895, 9469597, 56574836, 54507159, 34088334, 14533353, 76257939, 49385758, 32497193, 34774265, 9811063, 8471286, 70712698, 30792772, 12077847, 9919743, 107832548, 48222143, 49917506, 63168046, 96033270, 37678536, 114480347, 98787651, 52687771, 64601063, 55750092, 4572319, 9357990, 110281215, 25138037, 26014536, 36602426, 59943224, 49643662, 5938717, 13802806, 17500540, 108016260, 209270093, 48091385, 64124675, 36190378, 33395442, 89509321, 46609755, 10626534, 6272103, 4267729, 5332193, 11128502, 1927362, 145048404, 26179740, 1839938, 155837740, 34099829, 86724576, 9886437, 28805894, 27334948, 70737589, 71414976, 49073427, 18397046, 49540186, 23136344, 42282500, 65261005, 74453127, 1586059, 28854300, 1976638, 59814013, 2279026, 23155834, 5229812, 5674697, 43573138, 17408166, 65045025, 21873960, 6227883, 64410245, 43947509, 19937624, 67723193, 2331077, 43313435, 2458123, 64760790, 31533926, 78714924, 19988451, 41701668, 19912328, 3632897, 63583366, 9219250, 11922186, 94962878, 126762700, 32994242, 6464083, 78707398, 3638755, 98080016, 152140086, 6315096 ], [ 60275296, 97085922, 91521943, 153649706, 30086569, 83387888, 146052228, 2963064, 50667588, 60470620, 119367130, 12932150, 84520594, 26814093, 60024777, 28240143, 35635354, 148363555, 39135029, 42642543, 29848094, 56574836, 44698635, 6522511, 31517016, 76257939, 65650220, 79585245, 4139590, 21147669, 122395377, 70712698, 94693850, 3345264, 223303087, 42905933, 277657016, 7650714, 9985536, 65879175, 85422202, 83247283, 6687197, 107806842, 52580261, 10914927, 166347001, 28538266, 110281215, 7867055, 26014536, 37872620, 59943224, 92162321, 8513457, 6076019, 62931609, 35165228, 38357054, 16330527, 35213388, 113268227, 43873508, 68155298, 1047396, 4770883, 107754139, 12512447, 94420609, 11128502, 63975857, 73698525, 55472084, 12467909, 33384915, 114667303, 44627856, 37893454, 28805894, 19249411, 76332171, 35421642, 93132517, 269466854, 61016156, 23136344, 127657585, 104721923, 88996918, 73828439, 10815429, 154357584, 62047042, 19222845, 15727200, 5229812, 37119810, 43573138, 90706319, 148252258, 112673462, 6227883, 11205384, 154119087, 165357810, 60881301, 1030147, 1634069, 108538663, 94194490, 26874402, 19038083, 1250663, 41701668, 41408493, 13721683, 15772389, 240264722, 14029038, 32468686, 51505957, 55464850, 919956, 24007916, 85812889, 98080016, 54663602, 101417054 ], [ 133471564, 13262061, 31476935, 74511019, 136245013, 52767543, 81223123, 160607, 31816588, 298392896, 12809676, 58141178, 12711568, 75666424, 12258353, 155426190, 18518610, 109218945, 104293349, 72920881, 29984501, 88262117, 17237959, 55485036, 8151623, 6968936, 49385758, 63918812, 4139590, 21147669, 163644290, 70712698, 37924836, 19490018, 9919743, 22598478, 140274632, 13555557, 65946066, 57103513, 77659118, 6511714, 88209543, 124972417, 84024314, 181581527, 46963576, 87623488, 60031440, 85786520, 21326024, 649515, 12789386, 28863318, 74241463, 86751626, 76196386, 57345974, 11163758, 37539156, 64474081, 163526627, 33395442, 15008321, 21223115, 97534541, 77986125, 64436230, 7445093, 11128502, 94932526, 57092899, 104330210, 1839938, 49304217, 96698991, 31236690, 71658459, 24397799, 19249411, 38633454, 119753622, 24766906, 23507974, 26850711, 85421575, 122076125, 65859679, 94042713, 25094664, 28854300, 7492623, 29804875, 19222845, 9662602, 5229812, 62058692, 16829863, 154662196, 148252258, 34106062, 6227883, 1537528, 154933537, 19937624, 150049881, 18467329, 7617984, 2458123, 13010805, 2743013, 152283894, 108892514, 3457816, 19606445, 77874438, 1330228, 4263372, 32528429, 51565532, 21759941, 175751388, 6464083, 226294482, 26256355, 166270172, 54663602, 41313697 ], [ 20355458, 17519231, 40945126, 122834818, 136245013, 234257848, 49007961, 71961339, 230503996, 71013518, 37497957, 74243328, 71615469, 42519771, 25976978, 31492154, 72018909, 20522462, 63094669, 103620508, 18640900, 128810456, 54507159, 34088334, 15072477, 23987554, 70770936, 31043805, 4139590, 21147669, 72770174, 27204284, 130629805, 33794698, 9919743, 180270267, 204818229, 163188249, 209717285, 94387419, 70644866, 124550739, 22970055, 31729663, 239972320, 12349849, 91975986, 2257890, 9882500, 85786520, 26014536, 87331021, 12972869, 124023657, 81255915, 11735842, 75648262, 69245788, 66967279, 99788052, 17386639, 28342726, 33395442, 17485048, 209297368, 62028092, 97934412, 47657914, 34674229, 11128502, 55275011, 53928286, 104330210, 11856924, 224973781, 76258876, 216307645, 37893454, 19353368, 19249411, 217316269, 48006655, 94404941, 35163687, 132605470, 23136344, 192082432, 77803659, 20337306, 1586059, 119485024, 7492623, 53375586, 19222845, 87893719, 5232805, 37119810, 43573138, 20660719, 11632480, 92513604, 25143123, 42410573, 21710196, 1726031, 136739244, 351934613, 119661134, 92495926, 48503409, 8198026, 152283894, 15506915, 41701668, 22984477, 77874438, 20978695, 254510245, 66785635, 83135938, 10094996, 67476139, 17832662, 26173375, 30813242, 75790451, 1712931, 82023210 ], [ 24568957, 13262061, 40672129, 17394282, 33277103, 49446834, 81223123, 10728620, 47429823, 16677736, 33741451, 74243328, 16948464, 11534062, 12258353, 11534976, 35635354, 61864217, 104293349, 12230160, 29984501, 83754180, 7097485, 16439853, 15072477, 23604150, 17511594, 46274253, 36979083, 5953565, 160064117, 9752379, 33744510, 86439671, 9919743, 18914570, 48222143, 52916695, 23580742, 64448995, 108687630, 41667267, 98787651, 52181735, 24402478, 11684360, 27395305, 142902414, 14820136, 56346379, 26014536, 10030682, 45328380, 52772735, 59857663, 11735842, 20013986, 84306054, 11163758, 9555816, 38154238, 14572170, 33395442, 4081438, 109520349, 9567324, 2235822, 20876282, 160812201, 11128502, 94932526, 220884734, 26179740, 26827335, 77234788, 28364330, 100297601, 153382927, 3261094, 26225179, 38633454, 7202544, 24766906, 14056535, 37758366, 69256951, 122076125, 5899141, 2301376, 73828439, 68035297, 7492623, 8702321, 19222845, 25784813, 5232805, 47946239, 15323433, 49118870, 39331384, 6496455, 15546031, 26338059, 13516890, 79147676, 10148911, 208148147, 85995535, 2458123, 93962934, 90975769, 61523681, 82675553, 24724983, 54283146, 71561743, 72511398, 30194707, 24346444, 90507478, 78053197, 131457363, 17832662, 35781802, 94223273, 29066637, 39011870, 41313697 ], [ 59303711, 36539407, 91521943, 14325490, 33277103, 7829423, 60053269, 10728620, 16684911, 77985592, 126856013, 7556272, 20269355, 25708368, 15223979, 51959001, 18078326, 148363555, 977913, 101189603, 16705778, 29555188, 49929162, 34088334, 47527318, 3571107, 49802944, 2566108, 36979083, 2355852, 110960290, 30479417, 130629805, 19490018, 45789018, 74808412, 70086937, 88427717, 23580742, 15027481, 48671818, 74514401, 114412716, 107806842, 7150152, 9901299, 46963576, 28538266, 7675613, 20741877, 26014536, 86206333, 17070917, 52772735, 28055681, 12618545, 22877542, 20818439, 66935778, 28456691, 10098227, 163526627, 44559623, 74046888, 243782472, 124858367, 47996059, 59442247, 94420609, 11128502, 20324473, 35693120, 26179740, 12467909, 60458180, 71293395, 107119867, 21076761, 44841138, 64889486, 64692649, 51068483, 24766906, 23507974, 75852891, 23136344, 18630531, 65859679, 2301376, 73828439, 28854300, 7695343, 8702321, 19222845, 163961914, 5229812, 37119810, 15323433, 61738332, 65045025, 6496455, 22447868, 42410573, 76427133, 161892340, 45646457, 36849268, 84309290, 2458123, 914881, 31533926, 101313002, 27700448, 31420260, 54283146, 13721683, 123359600, 40859971, 24346444, 31463377, 17191537, 47139782, 6464083, 78707398, 191462729, 17875423, 123744615, 20795764 ], [ 1420552, 97085922, 57332646, 22700031, 30086569, 29897501, 81223123, 2963064, 47429823, 65059950, 119367130, 15054942, 6423718, 118060902, 12258353, 45231480, 7619152, 22672423, 144845989, 12230160, 29848094, 46042705, 54507159, 34088334, 22205311, 1778695, 153785212, 31043805, 4139590, 21147669, 92691441, 23768020, 30480996, 12880190, 61905387, 4269090, 85660278, 48303051, 23580742, 94387419, 25435369, 39668587, 2411081, 31729663, 7150152, 55750092, 29968857, 23503598, 84387194, 54157300, 26014536, 82219332, 17070917, 67955405, 34066122, 35695036, 20975573, 27624956, 25272896, 7096110, 13736690, 157641846, 33395442, 76815553, 758187, 112423991, 77986125, 20876282, 16242110, 11128502, 31437135, 35693120, 104330210, 60270550, 20588532, 52973807, 142157452, 25369199, 10845223, 19249411, 76332171, 19377587, 24766906, 38771833, 26850711, 23136344, 3632414, 97802999, 1064084, 58231241, 35371620, 197937549, 53375586, 19222845, 20286424, 5232805, 32128172, 43573138, 108319254, 32328827, 7479796, 6227883, 48659214, 154119087, 37761538, 10148911, 112333714, 10682196, 35164341, 150118051, 31533926, 51084713, 119015140, 1164866, 59576167, 77874438, 123359600, 3660070, 56513030, 83135938, 173842184, 76350134, 47079671, 25327513, 26256355, 162160546, 34395922, 10384455 ], [ 158101075, 90161977, 20675186, 24590954, 125013236, 7829423, 81223123, 160607, 41537995, 160907116, 30421189, 55136879, 45181143, 19170202, 63040610, 200324416, 98507634, 148363555, 42310155, 7212442, 29984501, 32090228, 54507159, 29905141, 101437440, 47168326, 16674892, 46274253, 36979083, 9811063, 32318278, 186773530, 40148963, 159820080, 9919743, 245655, 140274632, 12448949, 139956772, 160400919, 24397237, 6511714, 16118041, 124972417, 56922905, 8738751, 46963576, 193746577, 120637295, 39964883, 26014536, 38680821, 61360119, 111117226, 73129936, 13802806, 24442330, 30531816, 14648640, 16330527, 100001636, 15363896, 33395442, 36769191, 163234621, 137077539, 110304335, 8586489, 174174712, 11128502, 47738403, 73698525, 4377831, 11551965, 177618837, 109085950, 142157452, 299516450, 9715890, 79559230, 302559657, 46523739, 11914058, 130404907, 17843742, 23974405, 143989921, 143590005, 160493631, 56252726, 54280233, 7492623, 112610509, 19222845, 31335309, 5232805, 26063013, 35707345, 34881830, 65045025, 80789424, 6227883, 19581205, 114835017, 19451382, 30180049, 14861593, 18029310, 11775402, 63829230, 26152720, 152283894, 3314149, 43134502, 237297449, 1778507, 14187457, 8252009, 24346444, 94962878, 43942944, 18566907, 85358323, 4241466, 43059056, 83112910, 150531894, 24776891 ], [ 11998956, 97085922, 61927879, 201588965, 78291320, 48019938, 124487828, 24139189, 26821008, 80804691, 151853792, 74243328, 71615469, 153471467, 129309967, 24380805, 35635354, 212588872, 48310637, 6868206, 48757041, 176407070, 25690881, 34088334, 259647053, 76257939, 105412996, 210970394, 36979083, 9811063, 78104164, 43527620, 37179445, 120989005, 9919743, 21381525, 85660278, 253950795, 101140535, 49583705, 122282160, 212665617, 88954935, 124972417, 201288143, 1403991, 29753862, 5528881, 455296628, 11368589, 9640565, 87331021, 51243350, 11660676, 98129014, 13802806, 179471924, 104763504, 11163758, 34069127, 416883383, 97305873, 1599606, 43812522, 80801478, 127449548, 131606927, 63243891, 188463717, 11128502, 140177897, 88666212, 26179740, 118429636, 20588532, 170938274, 153599185, 37893454, 95255415, 47912511, 2617442, 97212073, 29603143, 138436919, 137013528, 23136344, 223610664, 128076874, 48669013, 73828439, 65615633, 7492623, 98587144, 19222845, 264493512, 44430424, 47946239, 43573138, 34938966, 234489554, 92410162, 22447868, 8315588, 28666453, 108598905, 36643396, 89004627, 67489725, 35164341, 81933308, 96317693, 88438720, 108892514, 41701668, 19606445, 77874438, 14187457, 135279616, 24346444, 23301678, 271186117, 76350134, 14381117, 41627436, 9957602, 9183339, 64737594, 4539843 ], [ 103223867, 97085922, 27156500, 67991332, 5044895, 7829423, 81223123, 9575149, 31816588, 106022317, 38036421, 74243328, 71615469, 124199005, 12258353, 298423733, 35635354, 1320109, 51287163, 69391895, 29356258, 32090228, 54507159, 111587268, 21412844, 174013413, 120357530, 46274253, 4139590, 21147669, 11037895, 14104276, 130629805, 19490018, 9919743, 100200947, 16958417, 28772929, 9985536, 109689335, 115968453, 96113320, 98787651, 114891838, 92458614, 70073001, 103686255, 5630364, 122927825, 65637828, 26014536, 87331021, 61360119, 165173119, 98129014, 4022153, 179471924, 74767847, 66967279, 83519453, 64124675, 163526627, 33395442, 79698621, 113542778, 4770883, 10879380, 20876282, 94420609, 11128502, 65080746, 103768891, 14400624, 12467909, 288259, 116247650, 243621154, 140520111, 76316761, 19249411, 137732020, 122589011, 40525522, 152145799, 26850711, 53345675, 6457851, 65261005, 122174580, 73828439, 28854300, 7492623, 17049686, 19222845, 117235800, 1468993, 113461032, 43573138, 147136638, 210341802, 34106062, 79870237, 1328670, 233426957, 128715962, 30180049, 30097089, 18029310, 2458123, 68911876, 26152720, 24708084, 3314149, 58672491, 124047438, 12788432, 22703114, 9219250, 7461198, 83135938, 23060614, 67476139, 6464083, 25327513, 26256355, 95588817, 54663602, 1734627 ], [ 145989195, 83328899, 40672129, 3437469, 136245013, 2490300, 123781816, 17517955, 94065912, 54421142, 151853792, 74243328, 84520594, 88755125, 49382248, 185523082, 76141940, 78537317, 51287163, 63306422, 37188315, 143219147, 54507159, 34088334, 31517016, 3834772, 16674892, 46274253, 4139590, 21147669, 23682946, 99134017, 130629805, 187451739, 170669010, 6401481, 15948992, 311384949, 110155120, 162413002, 108687630, 19494935, 23841273, 84396464, 8672790, 10151165, 13451784, 145062040, 1953595, 9467251, 26014536, 10030682, 141616975, 49755262, 98129014, 10654555, 177760154, 64185138, 14648640, 108112636, 56491106, 163526627, 72714146, 29645828, 175361297, 157625916, 110304335, 20876282, 45413410, 11128502, 13412774, 49731275, 104330210, 59467860, 20588532, 169159421, 109231585, 83060934, 84290443, 1081391, 10928238, 5570609, 36346209, 35163687, 185240670, 23136344, 143989921, 109291998, 69036259, 5329061, 191962791, 114032897, 15590413, 17163206, 148513726, 151646541, 33689536, 43573138, 142766778, 51419373, 92747471, 9498304, 1328670, 171852636, 165357810, 4696912, 150600657, 238510339, 35164341, 152870491, 808038, 240288566, 1250663, 21702030, 176608555, 77874438, 14187457, 65438270, 5117197, 83135938, 7805551, 76350134, 35300148, 78707398, 72939730, 24738612, 15170477, 1734627 ], [ 14107149, 2248874, 91521943, 22543064, 136245013, 2490300, 66937712, 5290861, 47429823, 41997364, 33741451, 7335987, 41594950, 23223860, 91709112, 44308041, 14941021, 25228228, 14248063, 138673085, 69861726, 41601143, 54507159, 3378470, 21087613, 47168326, 63174481, 46274253, 26480097, 9811063, 145809542, 135972371, 28190702, 3345264, 298170351, 4269090, 52465849, 57957112, 9985536, 109689335, 48671818, 7658704, 6687197, 24816809, 7150152, 181581527, 28285160, 102230573, 106295078, 63685028, 12082903, 20193809, 90500402, 63270843, 74241463, 13802806, 39317297, 46697041, 14648640, 6610976, 18475382, 49707186, 44559623, 13914330, 1047396, 4770883, 10231060, 20876282, 90734652, 11128502, 47738403, 7431751, 26179740, 94411234, 5210407, 51136416, 15179998, 52580062, 35676611, 1081391, 76332171, 51068483, 24766906, 23805687, 140798236, 23136344, 3632414, 3340509, 1064084, 5329061, 13926909, 23378290, 77572742, 19222845, 21436866, 175144554, 35094285, 43573138, 56393589, 81208466, 38645547, 9498304, 1328670, 2842731, 93887354, 2904225, 128919486, 1634069, 11261624, 7602098, 31216632, 280932087, 15506915, 127174323, 126226810, 77874438, 14187457, 8305194, 24346444, 11520981, 118431638, 67476139, 67065931, 78707398, 118204238, 162160546, 39011870, 1734627 ], [ 224415304, 56680051, 91521943, 213614096, 90407784, 170803512, 81223123, 194529921, 64002299, 336774891, 158437924, 1616244, 71615469, 154045893, 12258353, 51959001, 35635354, 29466415, 29159332, 131129715, 29984501, 5943802, 54507159, 548401, 125410266, 183704677, 311684793, 9297054, 4139590, 21147669, 216228118, 70712698, 130629805, 19490018, 380611, 180270267, 48222143, 55837967, 3074344, 41291095, 58475299, 10259202, 88954935, 124972417, 251836186, 37449118, 191320393, 172250565, 84387194, 92707767, 17004455, 87331021, 305575384, 228816422, 5938717, 102692441, 20533806, 49122919, 220244002, 107999134, 64124675, 163526627, 33395442, 212250970, 451858450, 209172461, 49483502, 146382436, 94420609, 11128502, 168519101, 320226776, 185709653, 12467909, 1476990, 9022882, 216307645, 63193423, 19353368, 19249411, 283824684, 124177424, 188824309, 35163687, 71345950, 67169557, 101146882, 65261005, 317065517, 22277651, 7890268, 7492623, 53375586, 304168286, 176662446, 5232805, 113461032, 43573138, 30547542, 151170691, 34106062, 79870237, 12279330, 102544155, 1726031, 67723193, 2331077, 69217653, 2458123, 261165357, 66908106, 66045757, 108892514, 170705572, 124212109, 26406378, 309891673, 256048985, 131403842, 7574241, 98344, 67476139, 6464083, 41627436, 62547840, 77708775, 54663602, 158189237 ], [ 174162059, 38167608, 40672129, 106844904, 119583545, 38081745, 115046075, 72275624, 25044537, 314453549, 49052728, 98864195, 139542348, 154045893, 23331017, 89734995, 35635354, 65232015, 149911674, 564141, 69861726, 143219147, 8792466, 14019389, 21710163, 21578825, 65650220, 2566108, 15225650, 142698776, 23682946, 48525486, 113865684, 30579412, 42553003, 18914570, 15752055, 263074053, 9985536, 133942257, 85422202, 9199614, 6687197, 118478263, 61379940, 10151165, 192038678, 5528881, 190265597, 60223950, 26014536, 7635835, 59943224, 49755262, 17366602, 186159716, 138122503, 71019915, 68029201, 77820875, 17331078, 163526627, 76689477, 47980771, 175361297, 4770883, 107754139, 105572524, 45413410, 224096261, 88539460, 61533382, 73522015, 173435278, 55101405, 69817680, 74839650, 37893454, 29660403, 38623323, 10928238, 5570609, 47604395, 69080684, 173920476, 23136344, 143989921, 65261005, 35901352, 133276584, 13926909, 114032897, 23401976, 19222845, 39110559, 5229812, 44055985, 43573138, 8006431, 269931601, 112673462, 1824813, 1328670, 33373381, 144518331, 22308777, 100143768, 1634069, 35164341, 63829230, 152809687, 10025357, 17980645, 41701668, 15882741, 77874438, 59367139, 4263372, 39902837, 227634995, 7805551, 23424037, 211105208, 61205752, 62590827, 98080016, 17421159, 1734627 ], [ 63235793, 22529708, 21173329, 259808921, 90407784, 7829423, 81223123, 130453420, 47429823, 77985592, 33741451, 55136879, 71615469, 59370111, 12258353, 51959001, 32561677, 148363555, 29159332, 128972561, 29984501, 46042705, 54507159, 33438807, 101437440, 23604150, 69699452, 46274253, 36979083, 9811063, 182484876, 9752379, 94935099, 120120523, 9919743, 22598478, 140274632, 90589342, 38853628, 164124782, 139459555, 10259202, 8197100, 52181735, 72508340, 181581527, 46963576, 5528881, 162868535, 56346379, 26014536, 87331021, 61360119, 52772735, 62202479, 13802806, 63710292, 62685402, 14648640, 16330527, 41087294, 21411515, 33395442, 40661463, 25872681, 9567324, 49483502, 20876282, 36603489, 8918385, 130100511, 73698525, 16268261, 173487704, 344702366, 116247650, 142157452, 4232416, 23137451, 105789928, 72730439, 7202544, 14834384, 23507974, 75852891, 23136344, 122076125, 34969278, 48669013, 73828439, 13438897, 7492623, 138770330, 19222845, 103334957, 65146730, 26063013, 43184542, 272014843, 32328827, 369493014, 22447868, 64410245, 33373381, 125381541, 30180049, 47583747, 96921378, 22828454, 170075653, 168782422, 151878603, 62702179, 31420260, 54283146, 77874438, 14187457, 30194707, 24346444, 7574241, 51613150, 184946876, 85358323, 39389127, 135901139, 49757387, 275393697, 35409233 ], [ 1420552, 83328899, 63911592, 173861528, 30086569, 7829423, 52385941, 122135501, 11338106, 474613200, 41247260, 55136879, 241657546, 174118816, 12258353, 22468702, 19229964, 39965525, 29159332, 42877873, 57071156, 46042705, 54507159, 5971639, 30522971, 8962540, 1423423, 33230295, 4139590, 6880998, 92938946, 9752379, 82390790, 237773695, 117974530, 107832548, 85660278, 12448949, 146720900, 34063333, 11142073, 10259202, 49905013, 124972417, 75406942, 92174743, 29968857, 43485332, 60031440, 147982748, 26014536, 65261790, 246096465, 38877166, 74241463, 50488153, 63710292, 71019915, 14648640, 37539156, 156295774, 48287149, 38504136, 48164330, 25872681, 9567324, 98447598, 53716457, 7445093, 11128502, 140177897, 78618473, 79314695, 60270550, 20588532, 15715109, 100297601, 4232416, 29617518, 19249411, 76332171, 52011597, 24766906, 183263655, 128009434, 23136344, 143989921, 125779475, 52984891, 45315856, 119485024, 71502340, 154849967, 49415266, 15272083, 5229812, 26063013, 14280183, 272014843, 32328827, 141122054, 6227883, 64410245, 44385067, 37761538, 198245841, 14861593, 43313435, 32463071, 68911876, 166278838, 111448508, 172739939, 28982611, 141979847, 801913, 14187457, 9219250, 39902837, 7574241, 87973016, 18566907, 87110961, 83705322, 124456633, 83112910, 34395922, 8385885 ], [ 24568957, 39478371, 91521943, 547009, 4609507, 7829423, 81223123, 10728620, 11338106, 16677736, 23414985, 36491113, 7434452, 13920403, 12258353, 17779986, 18518610, 28284355, 59459752, 16094805, 29984501, 142673109, 16621108, 34088334, 8151623, 455495, 17558543, 12811675, 4139590, 21147669, 88685612, 30479417, 398813, 1422517, 44137058, 22598478, 77514294, 56882824, 10134326, 36700884, 107216506, 7407931, 49905013, 4765507, 1994469, 159340643, 46963576, 33027000, 4656625, 52133795, 18547202, 70601300, 12789386, 28863318, 74241463, 10654555, 17628513, 57345974, 25272896, 6610976, 68185028, 24647788, 33395442, 26346236, 47388679, 4513084, 80665036, 20876282, 23333317, 11128502, 2005963, 30023392, 2585693, 60270550, 6852133, 29962433, 26633138, 8593917, 24397799, 14881854, 80116042, 46523739, 23378653, 90826362, 7835358, 23136344, 93479302, 10662434, 36523646, 5080235, 90594670, 11014425, 8702321, 19222845, 21563954, 5232805, 47946239, 15323433, 37039339, 137359511, 20785401, 26417669, 64410245, 15381447, 85650521, 136739244, 751071, 18528176, 25598930, 147058304, 31533926, 18245555, 47260902, 75222315, 54283146, 37645223, 6292514, 49855642, 1231057, 7707426, 20709832, 67476139, 37426293, 35781802, 26256355, 29646304, 54663602, 8385885 ], [ 74989033, 38167608, 91521943, 42333513, 136245013, 7829423, 81223123, 9575149, 11338106, 124515762, 33741451, 6732599, 162302188, 12479428, 12258353, 36941127, 21648735, 43573833, 21654249, 63634764, 29984501, 216168174, 49257403, 16439853, 68339951, 19855016, 70439458, 25799068, 3943856, 21147669, 35045319, 152572608, 23838845, 10967976, 22427269, 18914570, 62666360, 109347080, 86884185, 54081881, 5540999, 4049948, 90763939, 23618635, 22732079, 10151165, 191320393, 33027000, 43398476, 49316337, 26014536, 87331021, 59943224, 49755262, 54792121, 14845220, 144105158, 134823790, 11861564, 31897130, 12750337, 163526627, 33395442, 28151512, 45707552, 8956649, 9903185, 20876282, 54509151, 11128502, 65080746, 104722467, 128609467, 6842232, 15109469, 49823175, 64072588, 24962801, 26611316, 2590436, 94367292, 300712046, 24932206, 22585868, 187379160, 23136344, 34614593, 143590005, 105413436, 5362144, 57403451, 9562638, 20077500, 3411778, 55887444, 1468993, 163876891, 43573138, 6831786, 114279728, 30779365, 79870237, 22173503, 22821392, 34374270, 33245932, 114751747, 52278960, 35164341, 39156272, 80390, 38166653, 34900327, 13069568, 170766797, 36031943, 14935790, 36540690, 1260411, 7393291, 7805551, 67476139, 37426293, 42191648, 9567248, 98080016, 39011870, 8385885 ], [ 92342668, 13262061, 31476935, 51594079, 121011755, 7829423, 29738778, 10728620, 47429823, 187863642, 12809676, 74243328, 84520594, 73845243, 12258353, 118994575, 35635354, 143954271, 5312691, 29022692, 69861726, 70120030, 16621108, 16439853, 186710977, 1121079, 72230546, 32497193, 18792917, 9811063, 2273841, 19256234, 68623986, 1422517, 419111635, 18914570, 85660278, 85393402, 12969820, 74419758, 69920335, 8336817, 114412716, 17925071, 7150152, 5564078, 3890878, 28538266, 34386307, 52133795, 26014536, 10030682, 78451727, 52772735, 17366602, 13802806, 21040629, 104382147, 208992957, 143562043, 47814554, 46481541, 21139364, 74046888, 235194001, 137077539, 24234743, 3934247, 5802696, 11128502, 94932526, 48853142, 26179740, 12467909, 20588532, 116247650, 48982349, 25369199, 120533292, 11409806, 36040085, 145154839, 361670, 23507974, 8841244, 23136344, 9585615, 140274264, 47087107, 73828439, 28854300, 71502340, 47854487, 19222845, 79091183, 5229812, 1503253, 43573138, 97770868, 4381708, 111311857, 22447868, 6005134, 44385067, 165357810, 42055225, 10328263, 141103902, 118933817, 44889348, 31533926, 156310713, 34900327, 31420260, 126234196, 13721683, 6292514, 30194707, 24346444, 10524672, 146416411, 76350134, 4699304, 25327513, 12114064, 120708607, 59543859, 41313697 ], [ 73278332, 13262061, 21330488, 56381136, 43240606, 7829423, 119950426, 71961339, 47429823, 77985592, 10278007, 74243328, 71615469, 69439694, 12258353, 97040366, 35635354, 10053466, 14248063, 117408930, 1549220, 116153520, 54507159, 34088334, 22205311, 23604150, 144260059, 41914876, 4139590, 21147669, 111465513, 48525486, 37924836, 91141172, 9919743, 386199, 140274632, 64835390, 147831668, 109689335, 122649921, 124550739, 98787651, 14539178, 7150152, 109407790, 2739906, 145062040, 106295078, 85786520, 26014536, 86665551, 51243350, 16235886, 18316860, 77085873, 179471924, 195371164, 11163758, 87322465, 68185028, 163526627, 166247101, 15008321, 4695700, 152204219, 131606927, 201743485, 25329720, 11128502, 31437135, 147785389, 104330210, 60270550, 73050796, 51136416, 15179998, 25369199, 23137451, 19249411, 76332171, 44235816, 24766906, 35163687, 75852891, 23136344, 12729630, 143590005, 31459281, 17865391, 191962791, 7492623, 82716240, 19222845, 107146911, 5229812, 47946239, 43573138, 228022515, 107343912, 34106062, 79870237, 64410245, 154933537, 125381541, 14180180, 86097634, 20232511, 2458123, 39156272, 22496294, 152283894, 108892514, 1164866, 16244749, 66124152, 14187457, 9219250, 39902837, 22717768, 33357946, 67476139, 18817578, 137529701, 290224594, 166270172, 54663602, 10384455 ], [ 14107149, 36494378, 761466, 159737294, 33277103, 7829423, 26373632, 95887143, 11338106, 41997364, 110990789, 31977768, 56211229, 13949632, 12258353, 63370014, 35635354, 95955202, 48870021, 477735, 69861726, 32090228, 54507159, 34088334, 13014430, 43176167, 70439458, 21404875, 36979083, 9811063, 18016316, 8067203, 1745845, 84314686, 9919743, 19378451, 63063368, 2957758, 44363295, 8352151, 139459555, 105594232, 98787651, 38809696, 64054485, 10914927, 22487531, 28538266, 34271803, 20741877, 26014536, 34490581, 51243350, 7900906, 52667417, 1166550, 179471924, 84306054, 11163758, 218819939, 64474081, 49707186, 68107124, 40391733, 52369540, 10340495, 4469537, 11729070, 16242110, 8937545, 30481067, 52106900, 26179740, 67507534, 20588532, 28364330, 110310418, 43168004, 19353368, 64889486, 136839348, 33612121, 24766906, 12911975, 60151639, 23136344, 9650165, 22901743, 112453422, 68053592, 40564702, 7492623, 8702321, 7297955, 60854711, 5229812, 47946239, 210957, 8006431, 117826054, 6496455, 6227883, 48659214, 31805790, 51408379, 2904225, 127582741, 18029310, 45380486, 94194490, 26152720, 63579621, 3314149, 153025093, 19606445, 13721683, 82300461, 4956964, 6890, 64402046, 32182005, 43741286, 85104370, 14452983, 55241413, 45568316, 57156642, 8385885 ], [ 81365832, 13262061, 10590528, 134749845, 2820530, 83475848, 81223123, 10728620, 47429823, 298392896, 119367130, 74243328, 84520594, 69439694, 12258353, 299491671, 35635354, 148363555, 6150042, 56392526, 29984501, 116153520, 54507159, 34088334, 15072477, 23604150, 144176318, 27441290, 85318992, 21147669, 2273841, 48525486, 130629805, 91141172, 223303087, 107832548, 85660278, 904925, 23580742, 194479144, 139459555, 8336817, 215501130, 107106667, 133202078, 12349849, 46963576, 72246054, 84387194, 85786520, 26014536, 87331021, 59943224, 52772735, 74241463, 86751626, 17500540, 84306054, 25272896, 159317151, 47814554, 157641846, 33395442, 32744536, 180005608, 147458813, 131606927, 45630059, 65801535, 11128502, 22704879, 57092899, 43998752, 118429636, 20588532, 38454805, 74581933, 25369199, 44841138, 26225179, 72730439, 51068483, 24766906, 23507974, 164973595, 23136344, 42282500, 65859679, 36523646, 73828439, 119485024, 1976638, 53375586, 6362173, 264493512, 5229812, 9138577, 43573138, 228022515, 34787540, 6496455, 218835269, 48659214, 112236543, 125381541, 27528998, 165797242, 150938159, 95185327, 94194490, 31533926, 201496898, 157916391, 31420260, 54283146, 46762409, 221657, 373464588, 39902837, 22717768, 173842184, 76350134, 76584171, 25327513, 127778877, 91777797, 145718983, 41313697 ], [ 81365832, 85817567, 29002305, 3022990, 30086569, 7829423, 81223123, 33078595, 15696822, 111941412, 71647099, 58141178, 34739738, 42278554, 12258353, 138717107, 14478368, 21485181, 149911674, 15163429, 1549220, 46042705, 54507159, 26383920, 306351541, 40575822, 144176318, 2566108, 4139590, 21147669, 2273841, 66012779, 13192576, 31164587, 9919743, 22598478, 85660278, 114567805, 182399285, 109689335, 11142073, 10793427, 84011763, 124972417, 95269300, 10151165, 8279222, 5528881, 1456237, 21681656, 26014536, 38680821, 55527971, 49755262, 47110452, 10654555, 24442330, 6044690, 52129823, 34442368, 59072639, 97305873, 24055500, 79698621, 28367226, 17474196, 80183561, 71913506, 7445093, 11128502, 47738403, 124029708, 1721996, 33989146, 9772110, 116247650, 67213423, 37893454, 19353368, 19249411, 23182532, 52011597, 24766906, 152145799, 32908317, 23136344, 26556088, 63061736, 14193155, 73828439, 66873785, 5486413, 23401976, 19222845, 62289908, 5229812, 44055985, 6823891, 8006431, 32328827, 156622523, 6227883, 22173503, 28666453, 19451382, 136739244, 625622, 43313435, 118933817, 37097934, 99781501, 22875741, 28465251, 40931007, 3662869, 13721683, 10434261, 2726960, 39902837, 51565532, 7805551, 24212303, 29253069, 4241466, 10567404, 81902737, 54663602, 53692391 ], [ 35045781, 38167608, 91521943, 18677015, 94692035, 7829423, 81223123, 66625255, 11338106, 212447531, 26980973, 55136879, 71615469, 75666424, 57273016, 21736456, 7619152, 59611028, 5312691, 28941804, 29984501, 46042705, 25690881, 34088334, 14282190, 34039240, 9823384, 38407563, 36979083, 9811063, 24016066, 9423297, 33744510, 53230853, 9919743, 15893949, 21071992, 2402205, 9985536, 19779485, 10843956, 39668587, 2411081, 2489092, 39853586, 5564078, 46963576, 1292095, 14335983, 52133795, 26014536, 20793370, 1400950, 11660676, 74241463, 13802806, 81819981, 6044690, 11163758, 77008706, 21662391, 97305873, 33395442, 17485048, 758187, 4770883, 131606927, 107018213, 31991416, 11128502, 101058953, 34557159, 2585693, 118429636, 20588532, 97809054, 23539120, 46560242, 45066458, 1081391, 116106150, 1685858, 24766906, 26791723, 8841244, 23136344, 98432232, 114696070, 36523646, 24041366, 1325224, 7492623, 23401976, 19222845, 24445265, 5229812, 150493871, 43573138, 125360521, 32328827, 112489995, 9498304, 22173503, 28666453, 165357810, 4696912, 25666610, 95583201, 35164341, 914881, 27922499, 18245555, 17980645, 75222315, 46045211, 52977521, 7854709, 34680035, 18492545, 22717768, 7805551, 76136374, 38123194, 76733489, 149975785, 45297224, 33560528, 8385885 ], [ 35045781, 9390579, 80216113, 129906827, 94692035, 7829423, 108092179, 7341564, 1554397, 14021970, 33741451, 7482745, 13688128, 75666424, 26081607, 227882003, 36090254, 44778422, 19318060, 56392526, 52808250, 46042705, 51736667, 30278519, 14282190, 10326483, 136275477, 20196940, 4139590, 9811063, 90105736, 9423297, 77456809, 528225, 22427269, 22598478, 2855941, 90589342, 96032314, 37153598, 32459306, 17280545, 49905013, 744442, 3538355, 26112133, 46963576, 98960917, 111660739, 16255500, 27794976, 4856150, 33564553, 12990666, 17366602, 10654555, 125488259, 4698523, 14648640, 27143142, 64474081, 30767542, 29560948, 17485048, 139367196, 46384885, 22739966, 20876282, 63046026, 9746900, 22704879, 34557159, 7862580, 7309076, 27303075, 71536040, 39107390, 71500726, 95255415, 3156191, 59944870, 151531624, 3450763, 34635196, 132605470, 23136344, 55063471, 41887482, 52984891, 24041366, 1325224, 33691880, 38913467, 19222845, 29116927, 114779918, 9904138, 43573138, 34881830, 23252735, 75257918, 22447868, 31228863, 114835017, 20196655, 6136708, 47583747, 55231549, 35164341, 16430813, 31533926, 16033231, 1957091, 13069568, 60290401, 77874438, 14187457, 4758860, 13709336, 51565532, 15166187, 23424037, 17832662, 30294394, 29552682, 12370237, 15608376, 8529667 ], [ 133767379, 22529708, 91521943, 372021046, 25910147, 7829423, 378175832, 130453420, 11338106, 71013518, 92153924, 74243328, 36188612, 75666424, 232893574, 39070086, 67600540, 78537317, 63094669, 201977906, 48757041, 228296487, 54507159, 109891484, 79409986, 19300595, 10138301, 88000759, 36979083, 9811063, 216228118, 161787427, 92420806, 7359661, 126871329, 22598478, 51447786, 158777903, 143721966, 190104523, 70644866, 19494935, 66145189, 44469293, 18334044, 181581527, 222574601, 106939695, 114844367, 224598534, 24144608, 76643962, 400186412, 128500669, 17366602, 10654555, 177760154, 60755683, 165347182, 148854209, 53523994, 12344388, 1273891, 17485048, 72999968, 137077539, 31526738, 19618566, 158975681, 9746900, 105672061, 34557159, 7862580, 226086838, 11626725, 116247650, 179762463, 87277172, 129889848, 6112028, 302876596, 176068714, 36793278, 67043916, 196796632, 166028062, 192082432, 31119637, 109984358, 164468550, 1325224, 33691880, 160420010, 19222845, 97838497, 44916132, 46573169, 43573138, 3749505, 22455383, 112489995, 22447868, 26617542, 132992065, 18629613, 36643396, 31524604, 291330493, 35164341, 26274145, 4326385, 60319807, 38001506, 75181303, 250838352, 77874438, 82300461, 43714819, 24346444, 51565532, 10094996, 67476139, 142662399, 3030832, 103790605, 39202837, 51219211, 8385885 ], [ 407326892, 59183614, 124095994, 80487212, 25910147, 156524747, 123781816, 130453420, 47429823, 71013518, 26980973, 55136879, 71615469, 62120632, 106825335, 21736456, 98507634, 380817300, 5312691, 97981438, 39024619, 88262117, 48133062, 198803381, 79409986, 43176167, 9823384, 8874972, 22297431, 9811063, 216228118, 30479417, 130629805, 187666223, 9919743, 15893949, 15948992, 90589342, 131021875, 101321538, 183119693, 92862550, 49905013, 44469293, 141293504, 72681927, 46963576, 178392494, 9195241, 215290600, 196678114, 120801518, 376727136, 160133482, 47110452, 13802806, 75770217, 71019915, 62574497, 274916999, 416883383, 163526627, 166247101, 47980771, 185476593, 114734156, 153379140, 12512447, 163030879, 11128502, 32026260, 6038789, 26179740, 118429636, 20588532, 308233522, 142157452, 191823628, 12325998, 108979105, 38633454, 117459412, 24766906, 26791723, 12184028, 35296671, 143989921, 86518326, 182727922, 164468550, 92213740, 7492623, 196627590, 19222845, 15727200, 28414050, 397986618, 43573138, 110766261, 170678808, 94151193, 22447868, 64410245, 114835017, 18629613, 3693729, 146392488, 21571738, 35164341, 256671719, 364340403, 128824145, 108892514, 259420844, 88138403, 77874438, 69370192, 55223196, 24346444, 59113867, 10094996, 23424037, 17832662, 78707398, 149975785, 132790744, 218811911, 81159617 ], [ 35045781, 116039638, 113505080, 107155237, 94692035, 7829423, 108092179, 278551602, 47429823, 14650532, 151853792, 55136879, 71615469, 13949632, 14562664, 201684345, 67600540, 172427112, 152080202, 7746017, 166139226, 46042705, 25690881, 34088334, 101437440, 47168326, 67233759, 46274253, 85673659, 99394941, 90105736, 9423297, 68382046, 103716003, 9919743, 328983401, 136836269, 55776405, 9985536, 37153598, 78523311, 469410, 49228053, 44469293, 62421677, 181581527, 46963576, 126764890, 61487061, 85786520, 29056329, 87331021, 161036725, 193979397, 74241463, 29629811, 179471924, 6044690, 14648640, 34069127, 123106573, 42596642, 230664241, 48164330, 28367226, 4770883, 110304335, 20876282, 303094267, 11128502, 101058953, 6038789, 7862580, 135588901, 25363201, 116247650, 94399084, 90102240, 5695966, 108979105, 373099250, 33559589, 24766906, 99854249, 60151639, 23136344, 143989921, 86518326, 52984891, 73828439, 1325224, 7492623, 49698074, 19222845, 83035171, 5232805, 49803073, 43573138, 38828042, 1616409, 161854609, 6227883, 64410245, 42464866, 141399590, 238912893, 74355201, 9148382, 35164341, 60394613, 31533926, 44552394, 17980645, 259420844, 156966469, 29236294, 14187457, 116940943, 114234826, 43654343, 43942944, 87902655, 85358323, 78707398, 55241413, 132790744, 7766809, 158189237 ], [ 132072323, 22529708, 91521943, 85872254, 69246144, 7829423, 87570491, 24139189, 14186932, 14650532, 33741451, 17470031, 84520594, 29888653, 50053741, 31492154, 36090254, 53407709, 51287163, 91072366, 243207779, 46042705, 48304588, 34088334, 85926542, 10326483, 63855698, 46274253, 4139590, 16906821, 90105736, 61089924, 61236474, 103716003, 22427269, 22598478, 15948992, 90589342, 9985536, 29478518, 24095429, 17280545, 49905013, 44469293, 141293504, 10151165, 46963576, 33027000, 114844367, 52133795, 26014536, 45813916, 161036725, 49755262, 74241463, 29246001, 26847428, 71019915, 14648640, 31897130, 61606123, 12344388, 29560948, 47980771, 145332697, 4770883, 43453996, 20876282, 63046026, 11128502, 47933495, 6038789, 8142292, 60270550, 31569216, 53199481, 34014319, 62078491, 52221027, 1081391, 169186900, 156025444, 24766906, 17277866, 48897944, 23136344, 131190754, 86518326, 52984891, 15665551, 92213740, 48008163, 23401976, 19222845, 60854711, 5229812, 37119810, 43573138, 16667125, 8258553, 112489995, 9498304, 22173503, 18932796, 165357810, 4696912, 43288593, 238510339, 35164341, 55393996, 31216632, 20103948, 13333472, 13069568, 173506381, 52977521, 14187457, 43714819, 9595729, 51565532, 7805551, 48287122, 22997206, 78707398, 120561213, 49757387, 32928871, 93515659 ], [ 81768555, 22529708, 91521943, 34946926, 94692035, 7829423, 81223123, 24139189, 47429823, 78853222, 42522121, 13744506, 25367037, 13949632, 164970843, 13112516, 67600540, 35210160, 5312691, 131604132, 29984501, 35489493, 54507159, 34088334, 35481354, 17651129, 67233759, 46274253, 36979083, 9811063, 36722849, 44643435, 95938852, 62330610, 9919743, 62418336, 102069837, 54967229, 9985536, 48807174, 40511067, 39668587, 49228053, 744442, 46227435, 10151165, 14764904, 1292095, 61487061, 89121664, 26014536, 87331021, 28551907, 49755262, 64706933, 10654555, 130439128, 8221730, 14648640, 34069127, 64474081, 42596642, 1273891, 48164330, 55107111, 4770883, 31526738, 19618566, 527238, 11128502, 21032695, 34557159, 7862580, 57557771, 8301896, 116247650, 39107390, 60945208, 4732430, 108979105, 45404420, 109704536, 24766906, 17277866, 12184028, 23136344, 145544882, 60928142, 44415921, 73828439, 1325224, 7492623, 23401976, 19222845, 55547071, 75897377, 46345990, 43573138, 3749505, 32328827, 22953946, 22447868, 22173503, 114835017, 158382822, 3693729, 47583747, 15500080, 35164341, 63829230, 155574010, 55852104, 17980645, 75305866, 84735672, 43772648, 14187457, 42956965, 24346444, 989728, 7805551, 23424037, 27253936, 78707398, 55241413, 49757387, 40871251, 12517399 ], [ 74420813, 13262061, 48316743, 50682523, 94692035, 7829423, 108092179, 24139189, 11338106, 67066802, 42522121, 20146360, 21363058, 765113, 35881504, 71614902, 18518610, 30826342, 5312691, 37234744, 148922981, 65473172, 42516428, 25802137, 8151623, 34974794, 67233759, 19528142, 22297431, 9811063, 90105736, 48525486, 92420806, 85189789, 22427269, 22598478, 93550397, 55776405, 84598180, 14931613, 36108440, 17280545, 49228053, 24447404, 640516, 5564078, 14764904, 29542669, 7617318, 85786520, 26014536, 76643962, 12789386, 51009200, 74241463, 10654555, 16812172, 57345974, 14648640, 31897130, 107971780, 42596642, 10055390, 16204944, 1592701, 23458859, 43453996, 11729070, 527238, 8937545, 22704879, 6038789, 4760458, 21303599, 61216899, 28604611, 3875611, 60945208, 5695966, 108979105, 2886570, 14924600, 24766906, 17277866, 604504, 23136344, 63952292, 37104775, 16636870, 73828439, 1325224, 33691880, 30259855, 19222845, 15272083, 5229812, 60278301, 43573138, 117864039, 81208466, 30869059, 6227883, 31331260, 41852459, 19451382, 3693729, 26411399, 83027370, 35164341, 55393996, 31533926, 43746351, 93898343, 13069568, 144199753, 39073709, 14187457, 116940943, 7752645, 43654343, 32182005, 24088385, 68011681, 23116359, 68174606, 1832243, 33560528, 8385885 ], [ 120439541, 39301225, 79489943, 123160542, 96333112, 88259316, 59132993, 24139189, 47429823, 212447531, 33741451, 55136879, 1954083, 43984272, 193341203, 21736456, 1062656, 28824799, 51287163, 30129492, 192824177, 46042705, 42516428, 34088334, 150943461, 3571107, 9823384, 277489499, 85673659, 21147669, 35615106, 90119192, 130629805, 120120523, 22427269, 15893949, 54680356, 90589342, 7212736, 37153598, 11081450, 17280545, 66145189, 124972417, 76211612, 10151165, 46963576, 27659212, 120545568, 52133795, 26014536, 76643962, 65280390, 49755262, 17366602, 10654555, 42519407, 7865970, 135362418, 31897130, 416883383, 48932312, 166247101, 16204944, 73618969, 8767110, 32002264, 37008520, 1575802, 11128502, 22308748, 41029784, 7862580, 21303599, 99258427, 51136416, 43365618, 62078491, 43286633, 108979105, 2886570, 75580403, 24766906, 17277866, 19782298, 23136344, 6180455, 80573135, 16636870, 73828439, 1325224, 33691880, 23401976, 19222845, 97838497, 5229812, 98189046, 43573138, 78856754, 14084242, 112489995, 75417389, 22173503, 18143679, 19801132, 29147963, 43288593, 3824292, 35164341, 39156272, 134330898, 184453768, 93898343, 13069568, 195534471, 226901, 65691383, 58606827, 39902837, 51565532, 7805551, 63207095, 67065931, 20476368, 46350896, 43113982, 227975156, 20795764 ], [ 35045781, 97085922, 4586494, 27899268, 25910147, 7829423, 108092179, 24139189, 47429823, 71013518, 8960906, 55136879, 71615469, 57967708, 193341203, 76562579, 67600540, 44778422, 21654249, 3975067, 109018188, 46042705, 48133062, 8822107, 5860094, 19300595, 22289241, 27576362, 36979083, 9811063, 182484876, 9423297, 1064586, 14222676, 9919743, 19412831, 16380709, 2638487, 86884185, 8417534, 78523311, 39668587, 49905013, 44280333, 7150152, 11684360, 46963576, 87497372, 5445031, 60223950, 26014536, 68821897, 246096465, 66107608, 17366602, 10654555, 17500540, 6044690, 14648640, 16330527, 99257009, 2744516, 150484176, 48164330, 28367226, 127449548, 107754139, 12512447, 160010518, 9746900, 117715549, 73698525, 7862580, 57502320, 20588532, 38454805, 142157452, 71500726, 44841138, 52150102, 45404420, 51068483, 24766906, 26791723, 20163611, 23136344, 23306718, 143590005, 35901352, 73828439, 1325224, 7492623, 98587144, 19222845, 15727200, 140188466, 9904138, 17051841, 110766261, 30702354, 112489995, 22447868, 64410245, 112236543, 18629613, 60881301, 100143768, 17181444, 35164341, 106480984, 4326385, 2688546, 22799841, 106486078, 41484792, 77874438, 14187457, 66772061, 24346444, 94962878, 10094996, 76350134, 75867898, 78707398, 100690425, 270774229, 64737594, 8529667 ], [ 81768555, 38167608, 60796936, 2775551, 136245013, 7829423, 31802633, 10882454, 25044537, 4286645, 37295859, 74243328, 25367037, 75666424, 5464742, 55577100, 2335149, 16104826, 154054563, 50333601, 4331535, 46042705, 54507159, 34088334, 2382710, 16902891, 31773140, 11659241, 4139590, 21147669, 47531880, 30479417, 124688148, 62330610, 9919743, 22598478, 229952228, 289242696, 240537181, 26723723, 36108440, 39668587, 65314466, 124972417, 144288354, 27638004, 96064311, 1292095, 104958321, 82772653, 26014536, 76643962, 12789386, 66107608, 53191160, 29629811, 1681308, 57345974, 14648640, 61634802, 63182587, 254722616, 1273891, 48164330, 212065466, 23178414, 26030485, 19618566, 50326426, 11128502, 27028617, 230788867, 7862580, 40878144, 61216899, 94449962, 51997502, 149719807, 95255415, 19249411, 34474567, 30477930, 90369140, 58806651, 132605470, 23136344, 199107058, 70540554, 25157154, 2047799, 1325224, 7492623, 163800036, 19222845, 81102265, 5229812, 49803073, 43573138, 65795867, 32328827, 111311857, 236075823, 35593365, 42464866, 29603894, 10148911, 29107204, 33212797, 35164341, 63829230, 19902972, 70109076, 86578144, 172610928, 149147170, 22727121, 14187457, 10970296, 436481, 51565532, 37035196, 82114341, 85358323, 70619869, 17656841, 34901037, 54663602, 93515659 ], [ 297616339, 65543923, 113505080, 107155237, 75819421, 7829423, 182108133, 306660385, 202308141, 419764711, 151853792, 74243328, 71615469, 100286494, 524963874, 106323088, 67600540, 68281884, 139229593, 201977906, 69861726, 46042705, 48133062, 34088334, 5860094, 418290662, 236527341, 11659241, 358767357, 204697674, 182484876, 307463833, 130629805, 84314686, 9919743, 61696962, 363853877, 181964479, 84598180, 190600037, 85422202, 39668587, 66145189, 24447404, 112968001, 181581527, 222574601, 145062040, 316981337, 214080587, 195036129, 87331021, 18357705, 116550775, 17366602, 10654555, 150986443, 257345519, 14648640, 61634802, 107512125, 163526627, 138732453, 48164330, 367040267, 145111827, 26030485, 59124870, 139467417, 9746900, 242749395, 68815027, 7862580, 226086838, 101721631, 116247650, 51997502, 236977713, 72399315, 59688085, 175173813, 156025444, 122165465, 26791723, 192748445, 23136344, 23306718, 70540554, 52984891, 73828439, 1325224, 7492623, 170575126, 21883587, 97838497, 5229812, 228779008, 43573138, 64520074, 32328827, 273135566, 79870237, 37542637, 203456602, 30496227, 246766272, 43288593, 56523461, 35164341, 55393996, 342052023, 152283894, 93898343, 194919342, 196724520, 77874438, 14187457, 66772061, 39902837, 94962878, 271186117, 63207095, 142662399, 78707398, 306721294, 412040304, 33560528, 93515659 ], [ 24568957, 22529708, 91521943, 49472071, 88594312, 7829423, 81223123, 41655514, 21643556, 1946080, 22907577, 55136879, 67100911, 69439694, 55628023, 13112516, 67600540, 16104826, 7011872, 23242567, 29984501, 46042705, 52292132, 5046234, 15072477, 14229681, 10281903, 63028094, 15008200, 9811063, 47531880, 48525486, 33588870, 75366654, 9919743, 22598478, 85660278, 59555016, 17356980, 5535505, 80414735, 26317362, 49905013, 11997696, 24402478, 26112133, 46963576, 1292095, 6687038, 31194521, 4687039, 28370071, 45328380, 13392175, 74241463, 13802806, 163897309, 6044690, 14648640, 17090967, 75983765, 151169449, 1273891, 27417956, 2663878, 23458859, 43453996, 11729070, 57123580, 8937545, 22704879, 19553834, 5081093, 94510671, 20588532, 17535400, 21526573, 137927312, 52221027, 7071017, 49030490, 99339, 3450763, 96055004, 77984922, 23136344, 55063471, 100320188, 48669013, 15850384, 1325224, 7492623, 26591430, 19222845, 99527334, 89462776, 49803073, 2510940, 2158883, 8258553, 22953946, 10107864, 26338059, 33373381, 12351580, 6411412, 29853378, 43313435, 11220904, 20602581, 43458299, 11790340, 15317729, 36474291, 74445818, 226901, 14187457, 9219250, 24346444, 10524672, 43942944, 39880734, 17832662, 21231530, 208043842, 44785241, 4450784, 12517399 ], [ 6925873, 22529708, 79489943, 107777819, 136245013, 7829423, 13110491, 92093921, 73387071, 16677736, 33741451, 17470031, 8799657, 11471448, 124769759, 3182977, 7619152, 44778422, 7011872, 91072366, 130814572, 46042705, 7097485, 34088334, 101437440, 3571107, 57940287, 46274253, 36979083, 9811063, 90105736, 30479417, 93691225, 120120523, 22362699, 45217377, 37734786, 142709332, 86884185, 8417534, 42147465, 17280545, 66145189, 124972417, 239972320, 8738751, 14764904, 33027000, 131416370, 52133795, 26014536, 49228694, 15119195, 71884065, 81206991, 13802806, 26847428, 6044690, 14648640, 22211458, 303866861, 24647788, 166247101, 36769191, 491656, 137077539, 110304335, 20876282, 527238, 11128502, 40120666, 94063515, 7862580, 63889721, 20588532, 116247650, 102730539, 62078491, 49381587, 65914772, 94367292, 30477930, 3450763, 73441397, 40242200, 23136344, 4327232, 143590005, 52984891, 42802407, 1325224, 9952316, 47854487, 19222845, 101763516, 5229812, 9904138, 43573138, 109840007, 30702354, 22953946, 22447868, 18758854, 88710090, 16368907, 88023914, 43288593, 58570577, 35164341, 49044164, 19902972, 15917710, 6098787, 13069568, 141393726, 37966319, 14187457, 334045600, 24346444, 10524672, 51613150, 39292026, 12873560, 35781802, 74621554, 34852269, 47015248, 7942710 ], [ 272287318, 83328899, 91521943, 2900235, 136245013, 105407201, 66937712, 30391140, 160144969, 409873993, 119367130, 69723297, 71615469, 131844808, 23609316, 69899350, 148249129, 63795898, 67004930, 30129492, 29984501, 46042705, 54507159, 30278519, 64401909, 43176167, 41477025, 12601532, 36979083, 9811063, 104329566, 130652369, 47399467, 63002950, 9919743, 181490596, 246091138, 27340378, 86605708, 76295408, 11081450, 39668587, 98787651, 22144757, 88335581, 87443344, 98885035, 121024101, 207494272, 147982748, 26014536, 86665551, 11029384, 67955405, 98129014, 13802806, 63710292, 26083446, 14648640, 74302415, 50982258, 30767542, 10055390, 9986453, 35286264, 114958279, 48009087, 3498867, 222257365, 11128502, 22308748, 53900254, 26179740, 24608207, 27303075, 92144666, 65833966, 36564773, 95255415, 126905439, 25883679, 100430043, 121649146, 61282264, 229039194, 23136344, 7459116, 143590005, 52984891, 45283434, 13438897, 7492623, 52690941, 19222845, 163961914, 21108739, 75998577, 43573138, 268307122, 32328827, 119235589, 22447868, 64410245, 44385067, 126397105, 36869337, 160122026, 145653413, 35164341, 68251201, 85809652, 152283894, 34900327, 174457815, 22934642, 29478729, 14187457, 26423697, 24346444, 10685536, 53923074, 268190945, 38535377, 39724630, 113750760, 99739753, 174308674, 82023210 ], [ 20355458, 97085922, 34280264, 27899268, 84518311, 7829423, 11334436, 97806912, 1554397, 14650532, 119367130, 34621905, 84520594, 61896739, 5464742, 13112516, 10531032, 30826342, 9139566, 9908620, 29984501, 46042705, 8824962, 34088334, 36907918, 11840458, 93589971, 4086075, 4139590, 9811063, 106755299, 9423297, 92420806, 72203755, 95072129, 22598478, 59625208, 90589342, 98882895, 14931613, 37671256, 1065432, 46549778, 31729663, 3538355, 5564078, 46963576, 28538266, 29837395, 39187167, 32395315, 72386568, 28551907, 67955405, 17366602, 10654555, 1681308, 60717518, 177356704, 28456691, 52819791, 28413172, 10055390, 6921616, 126558630, 23178414, 97934412, 12512447, 58456141, 11128502, 39833541, 28456871, 7862580, 60270550, 2185642, 10965644, 39663821, 22464142, 95424247, 19249411, 64311871, 14924600, 24766906, 17277866, 604504, 23136344, 107412209, 108901019, 8146422, 25803152, 1325224, 33691880, 80502390, 14666259, 15727200, 88201049, 47946239, 17051841, 173171531, 32328827, 22953946, 22447868, 43573583, 42464866, 85361570, 21860915, 26411399, 21571738, 35164341, 52726079, 31533926, 201496898, 8111204, 146385614, 54283146, 13721683, 94498630, 10970296, 24346444, 32140240, 37613713, 57895621, 34593270, 78707398, 14798645, 7517031, 15608376, 8385885 ], [ 31298998, 22529708, 113505080, 547009, 102842195, 7829423, 53356002, 55032171, 47429823, 52227190, 53738032, 28429720, 71615469, 13920403, 6848855, 69740860, 36090254, 35210160, 8552619, 564141, 29984501, 46042705, 48133062, 34088334, 101437440, 43176167, 2951290, 46274253, 4139590, 9811063, 64371826, 30479417, 47399467, 84314686, 9919743, 5913654, 13928520, 88427717, 20058432, 14136878, 9411434, 17280545, 25473352, 84396464, 7150152, 3913329, 46963576, 5528881, 10098659, 26296261, 26014536, 20310612, 64230377, 67955405, 5206059, 10654555, 84622330, 71019915, 14648640, 31897130, 3042389, 28413172, 10055390, 16204944, 116175762, 23458859, 43453996, 1110301, 1140251, 11128502, 22704879, 6038789, 7862580, 60270550, 20588532, 116247650, 142157452, 51355122, 5695966, 19249411, 1842598, 629887, 24766906, 17277866, 25151767, 23136344, 98785677, 60762338, 4808035, 73828439, 1325224, 7492623, 1353097, 19222845, 83035171, 75897377, 9904138, 30697211, 8006431, 29788284, 20785401, 22447868, 48659214, 28107, 51408379, 47788533, 47583747, 58570577, 35164341, 53157422, 26595740, 12473269, 83207267, 2031967, 20715337, 162911, 14187457, 15385312, 24346444, 43654343, 51613150, 51284171, 85358323, 4241466, 4720411, 49757387, 35388483, 61077805 ], [ 74420813, 123456286, 96096056, 2900235, 25910147, 42600000, 81223123, 130453420, 47429823, 71013518, 68735410, 55136879, 13688128, 75666424, 14562664, 21736456, 67600540, 30826342, 88822519, 56392526, 29984501, 142843678, 54507159, 30278519, 79409986, 43176167, 9786471, 75995835, 36979083, 9811063, 36342808, 9825711, 47399467, 85189789, 9919743, 15893949, 85660278, 27340378, 72986654, 14931613, 36108440, 170105617, 66145189, 124972417, 141293504, 10151165, 46963576, 36292908, 150481908, 89121664, 26014536, 87331021, 84713813, 11660676, 17366602, 13802806, 179471924, 150389399, 14648640, 74302415, 347030987, 30767542, 1273891, 48164330, 90149078, 114734156, 107754139, 19618566, 108036374, 9746900, 22704879, 6038789, 7862580, 118429636, 20588532, 10231482, 115312267, 182438260, 95255415, 108979105, 25883679, 10158467, 24766906, 99854249, 132605470, 23136344, 371777636, 75973195, 144446519, 73828439, 1325224, 7492623, 23401976, 19222845, 97838497, 44430424, 230026114, 43573138, 110766261, 17515521, 93500737, 22447868, 22173503, 114835017, 18629613, 36869337, 26411399, 42522283, 35164341, 48503409, 8198026, 55852104, 1957091, 85561760, 88138403, 50114870, 14187457, 18004222, 24346444, 51565532, 7805551, 76350134, 17832662, 3030832, 149975785, 306629280, 40871251, 81159617 ], [ 63235793, 89288666, 40672129, 36703392, 25910147, 105407201, 81223123, 24139189, 134739930, 14650532, 119367130, 54364732, 8799657, 89736295, 57273016, 21736456, 26127475, 57068859, 51287163, 28941804, 9367199, 138472417, 54507159, 30278519, 13116613, 43176167, 9823384, 9907849, 67213595, 6468675, 90105736, 23768020, 47399467, 62330610, 9919743, 9019412, 32944423, 10948880, 86884185, 144576472, 29972900, 19994467, 2411081, 83719085, 39598691, 181581527, 808097, 26167072, 101150932, 52133795, 26014536, 10030682, 64942941, 11660676, 85321828, 28456575, 24832656, 7865970, 14648640, 25490684, 99257009, 30767542, 33395442, 48164330, 99848866, 65929704, 3148072, 59124870, 24226835, 11128502, 54649914, 6038789, 7862580, 118429636, 15618391, 22385404, 8172015, 34125965, 95255415, 35116609, 25883679, 26865331, 319698831, 17277866, 32908317, 9750518, 77153737, 70540554, 74453127, 5362144, 1325224, 7492623, 47854487, 19222845, 77301554, 5229812, 130991409, 17051841, 8006431, 49412346, 80144293, 15546031, 64410245, 42464866, 1012952, 36869337, 43288593, 85995535, 35164341, 55393996, 31533926, 30632269, 27626080, 57620478, 15882741, 313162, 9365050, 15090074, 39902837, 94962878, 10094996, 67476139, 17832662, 4241466, 13383425, 1832243, 72703482, 28598678 ], [ 35045781, 235882242, 96096056, 2900235, 94692035, 7829423, 81223123, 184146430, 47429823, 14650532, 119367130, 55136879, 13688128, 13949632, 50053741, 106323088, 98507634, 16104826, 33323390, 57593823, 29984501, 35001633, 54507159, 34088334, 31334359, 3834772, 112493019, 11659241, 4139590, 39850670, 47531880, 6597934, 168067667, 120989005, 4133651, 61696962, 15948992, 3966872, 131021875, 14931613, 78523311, 124550739, 49905013, 1004199, 141293504, 77234777, 46963576, 2207446, 99622015, 85786520, 26014536, 35913558, 22801155, 14912992, 17366602, 10654555, 24832656, 63465833, 14648640, 34069127, 61606123, 53608172, 33395442, 2495258, 189214701, 23458859, 26030485, 59355022, 76545038, 11128502, 5017537, 34557159, 73522015, 60270550, 8301896, 22385404, 90378400, 60945208, 95255415, 19249411, 145235399, 156045941, 24766906, 147209861, 60151639, 23136344, 143989921, 70540554, 112453422, 73828439, 95172109, 86873098, 108769013, 19222845, 60854711, 5229812, 26290681, 43573138, 90706319, 81208466, 273135566, 79870237, 42410573, 42464866, 126397105, 150049881, 26411399, 7056005, 35164341, 55393996, 31533926, 240288566, 1957091, 85561760, 94440902, 77874438, 14187457, 133104090, 39902837, 83135938, 70887472, 67476139, 75019110, 78707398, 55241413, 132790744, 15170477, 61077805 ], [ 44033231, 41926315, 761466, 2900235, 94692035, 38081745, 5481880, 103831321, 30982979, 68809388, 24742786, 34518685, 86848865, 131844808, 57273016, 101784802, 55877667, 75797835, 38219176, 64902271, 29984501, 19810294, 40985255, 34088334, 15072477, 47168326, 9428168, 24209341, 72258210, 21147669, 145809542, 37980700, 59579709, 35430309, 19500119, 94939899, 140274632, 21224022, 19176062, 44105602, 11081450, 27436033, 114412716, 44469293, 59770225, 43955257, 46963576, 88607434, 7507088, 55088100, 26014536, 10030682, 15119195, 67955405, 74241463, 21903110, 63710292, 49834920, 11163758, 33823205, 35055757, 22146385, 31105774, 53969319, 50120798, 23458859, 84599634, 41811746, 128397188, 11128502, 22308748, 34557159, 87267025, 85285780, 28905468, 41051523, 85430830, 233835199, 136999408, 26225179, 1842598, 30406459, 24766906, 140116245, 42126297, 23136344, 30230283, 143590005, 20337306, 45283434, 32220884, 71502340, 17482479, 3293357, 164286768, 5232805, 7550265, 43573138, 129944624, 81208466, 24868546, 24933669, 19549944, 38917360, 33790723, 6358199, 90361150, 199328976, 159429162, 27641439, 25024181, 28372938, 18175974, 118996295, 22984477, 29478729, 60540807, 30194707, 53494524, 41283622, 8273046, 67476139, 87110961, 49524043, 45456375, 35507064, 30919033, 4643354 ], [ 50473785, 73957937, 9024081, 7133241, 96333112, 7829423, 29738778, 79292761, 31816588, 80658898, 68735410, 49874935, 1954083, 5734355, 14676184, 40778454, 68076701, 44778422, 40700961, 74454196, 147671229, 46042705, 54507159, 33438807, 46182270, 46559750, 10359283, 48132956, 4139590, 395870, 32318278, 37980700, 54332702, 19490018, 6598636, 5913654, 85660278, 56122363, 105263019, 55185525, 44288010, 7658704, 62927217, 4704739, 11922772, 5564078, 22487531, 14156480, 58222733, 40027677, 667106, 10030682, 5217428, 42624056, 32722070, 13802806, 63710292, 7865970, 14648640, 710689, 50982258, 51921857, 10055390, 48164330, 50120798, 23458859, 101831917, 3934247, 94420609, 8937545, 22676683, 104722467, 26179740, 12467909, 20588532, 10965644, 34939618, 71500726, 13309723, 19249411, 29628405, 629887, 24766906, 94155543, 8841244, 23974405, 30230283, 34969278, 52984891, 29302169, 28854300, 7492623, 45960706, 3492989, 15272083, 51662272, 9904138, 43573138, 93765590, 9350717, 29478533, 22447868, 62265205, 2842731, 6410165, 47788533, 43288593, 43313435, 12821873, 32906236, 50707056, 7067095, 27328226, 128326466, 34994345, 27509593, 14187457, 9219250, 24346444, 51565532, 53923074, 67476139, 6464083, 49524043, 333147, 1832243, 35693722, 3402122 ], [ 274333149, 346259648, 46099719, 27543629, 125013236, 7829423, 43480748, 130453420, 47429823, 3752199, 17715082, 55136879, 7096868, 606489919, 285126274, 398565495, 98507634, 358417988, 145452590, 347643152, 155369916, 46042705, 44167442, 34088334, 510733290, 47168326, 202725313, 325756812, 36979083, 9811063, 182484876, 17945446, 83777584, 498161745, 9919743, 225807495, 85660278, 90589342, 182399285, 192887422, 457716037, 39668587, 49905013, 124972417, 141293504, 119420482, 926184, 59537697, 331134396, 224854834, 6678859, 120801518, 53049167, 188350636, 74241463, 13802806, 101378262, 29285357, 412715695, 101402945, 416883383, 71815836, 166327783, 317560233, 170909425, 50491024, 241739040, 116873020, 255142692, 11128502, 140177897, 70531289, 26179740, 118429636, 20588532, 42783554, 142157452, 1103228569, 149101854, 108979105, 373099250, 156045941, 24766906, 302605942, 7835358, 23136344, 15466587, 143590005, 24844978, 128639937, 123914272, 7492623, 34346460, 19222845, 167235940, 165881465, 465506606, 43573138, 211593981, 32328827, 494895795, 22447868, 64410245, 28666453, 165357810, 230596408, 160122026, 226662312, 35164341, 328108183, 364340403, 5418964, 47260902, 259420844, 175952441, 77874438, 114501401, 135279616, 19570202, 94962878, 282817243, 76350134, 142662399, 78707398, 223595272, 370141911, 233926784, 158189237 ], [ 35045781, 50914980, 9024081, 3988352, 94692035, 7829423, 81223123, 95887143, 402645499, 43540580, 151853792, 74243328, 8799657, 21748381, 57273016, 63370014, 14082220, 78537317, 35627920, 6868206, 29984501, 166041621, 54507159, 34088334, 251328888, 43176167, 58947213, 22748138, 4139590, 21147669, 88277132, 9423297, 130629805, 90961544, 115003938, 22598478, 97428537, 95924916, 101046499, 122442399, 78523311, 19494935, 66145189, 44469293, 61395887, 10151165, 90365535, 145062040, 7617318, 89121664, 26014536, 42223893, 246096465, 19460286, 17366602, 10654555, 24832656, 7865970, 14648640, 180266263, 61606123, 56202485, 33395442, 33334190, 219552584, 152204219, 107754139, 12512447, 57886101, 11128502, 51720370, 34557159, 7862580, 60270550, 14712411, 22385404, 219322894, 2966291, 22089240, 19249411, 33229953, 94981151, 36793278, 204831672, 179762713, 23136344, 187025019, 104721923, 17474632, 73828439, 1325224, 32053912, 23401976, 19167891, 15727200, 99126886, 37119810, 1685604, 90706319, 9350717, 492453226, 151947809, 22173503, 148254490, 118623541, 60881301, 146392488, 21571738, 35164341, 171709952, 253755655, 287829858, 61107429, 52640602, 3875981, 77874438, 14187457, 140035638, 162226585, 51565532, 7805551, 154231085, 35595082, 78707398, 109368941, 45568316, 54663602, 59881781 ], [ 21192448, 13262061, 91521943, 157120283, 136245013, 41429696, 81223123, 10728620, 47429823, 111941412, 7569374, 44122180, 19716757, 29888653, 198929843, 49166487, 2173970, 148363555, 281314861, 138673085, 27970467, 183131299, 54507159, 34088334, 7184443, 43176167, 16674892, 8874972, 85673659, 21147669, 32318278, 14106688, 66190407, 65898203, 9919743, 36921709, 66556052, 254322282, 23580742, 29478518, 112887714, 74514401, 11674339, 161639031, 118037189, 12150853, 46963576, 145062040, 28791263, 138052974, 26014536, 86665551, 161036725, 22489912, 6150323, 75266490, 26847428, 44007478, 39490977, 40026291, 47446923, 136345621, 33395442, 27627406, 449993218, 180770931, 82245422, 20876282, 77739796, 39104548, 71141675, 145852487, 19381324, 118429636, 20588532, 146629205, 115312267, 125534253, 85213851, 76012953, 76332171, 23684356, 24766906, 17979989, 33774110, 23136344, 78457301, 8768302, 67617605, 26076786, 22305071, 7492623, 35881988, 19222845, 101763516, 113269742, 47340093, 22653085, 108349525, 98599094, 1386162, 79870237, 40716575, 154933537, 165357810, 4073297, 38484741, 108539449, 724147, 82250593, 66279234, 86645591, 34900327, 54058096, 88991517, 77874438, 3207842, 135279616, 162226585, 60769819, 269228370, 52548562, 62122907, 248615397, 296646316, 91796273, 1171139, 65732532 ], [ 14287189, 213916, 92716841, 2900235, 94692035, 55242500, 43265802, 92093921, 47429823, 21515915, 33741451, 17470031, 8799657, 12903778, 50053741, 145860081, 36090254, 70263422, 40700961, 53586949, 69053697, 46042705, 54507159, 15709895, 86994307, 46559750, 26468430, 13018025, 36979083, 9811063, 36342808, 55518079, 24847453, 59724276, 19500119, 22598478, 85660278, 27340378, 105263019, 36462480, 40052581, 17280545, 66145189, 44469293, 110759444, 130090473, 21595824, 33027000, 10098659, 26296261, 26014536, 20310612, 39235449, 26635291, 19552087, 10654555, 24832656, 7865970, 14648640, 31897130, 3042389, 28413172, 166247101, 48164330, 42445510, 8767110, 3880684, 20876282, 63046026, 11128502, 22704879, 34557159, 7862580, 2856856, 20588532, 10965644, 5082027, 62078491, 95255415, 108979105, 88288369, 10158467, 24766906, 31619365, 42160984, 17001506, 63952292, 27058796, 52984891, 5362144, 1325224, 24940066, 47854487, 3492989, 3624085, 25800149, 110408707, 43573138, 5242697, 32328827, 196115270, 22447868, 64410245, 28107, 126397105, 78143032, 108368120, 43902250, 10179254, 3674981, 2360303, 71287516, 79062754, 13069568, 1019864, 77874438, 14187457, 26257979, 24346444, 51565532, 67511127, 55822041, 49654188, 28196801, 113887119, 5250619, 35388483, 54727878 ], [ 50473785, 97085922, 14159049, 2900235, 25809862, 24607854, 81223123, 24139189, 47429823, 132735885, 156538968, 55136879, 3304268, 152003077, 14676184, 128605816, 67600540, 63795898, 51287163, 564141, 29984501, 61453798, 37493, 34088334, 33926751, 14229681, 67233759, 48132956, 4139590, 395870, 30901924, 26822544, 47399467, 70753204, 19500119, 61696962, 89979232, 27340378, 92283522, 48807174, 108687630, 100377335, 49228053, 744442, 114526480, 92691144, 46963576, 145062040, 58222733, 144773047, 26014536, 10030682, 84713813, 67955405, 74241463, 13802806, 163969303, 36552821, 14648640, 74302415, 4267322, 42596642, 33395442, 48164330, 50120798, 65045437, 8893860, 49338981, 196549767, 11128502, 22704879, 6038789, 7862580, 54809626, 81044306, 185657369, 39107390, 182438260, 5695966, 19249411, 25883679, 10158467, 24766906, 92119463, 77254106, 23136344, 175526994, 25512579, 14948307, 45283434, 1325224, 33691880, 98587144, 19222845, 15272083, 118437253, 30000454, 43573138, 221500736, 258891626, 136210853, 22153127, 64410245, 38917360, 126397105, 19878314, 31363216, 113611279, 125412532, 26274145, 2360303, 76642595, 83207267, 75305866, 121368234, 72997032, 14187457, 116940943, 24346444, 43654343, 4423407, 67476139, 45672793, 9821344, 28047094, 132790744, 38958473, 143948231 ], [ 33459195, 73957937, 761466, 2900235, 88563387, 7829423, 157367015, 130453420, 37381873, 26310677, 3134393, 58519521, 8799657, 15869554, 43147988, 24380805, 5258406, 44778422, 8143391, 138939651, 36346274, 28154622, 54507159, 34088334, 30788668, 43176167, 26468430, 11751052, 4139590, 9811063, 70490636, 9825711, 15376883, 13722469, 9919743, 22598478, 16308303, 547060, 208743654, 20057447, 82310925, 39668587, 55311449, 19759863, 19802354, 9479778, 69383571, 145062040, 7507088, 76875627, 27794976, 6545535, 84713813, 47784158, 1314880, 13802806, 62931609, 7865970, 14648640, 44264287, 20167689, 92545224, 256007, 48164330, 14420248, 8767110, 37358353, 20876282, 118656987, 11128502, 4212940, 63457982, 26179740, 8095366, 28905468, 89723313, 58758370, 4069763, 20500337, 19249411, 11279915, 147701727, 105240896, 70232791, 6525405, 23136344, 30285746, 34969278, 8309880, 21953557, 10489688, 435639, 45960706, 19222845, 33679030, 18291096, 9904138, 43573138, 64878928, 17515521, 178240677, 14524252, 64410245, 18143679, 28851580, 47788533, 7934829, 23422639, 115702386, 36831880, 31533926, 24085920, 7861219, 115752479, 25574466, 56451187, 14187457, 13583569, 24346444, 51565532, 103526719, 35732568, 85358323, 20809248, 37029363, 4957152, 10781558, 34178976 ], [ 250962065, 75324996, 761466, 142428344, 136245013, 7829423, 147261120, 1029754, 107991707, 111941412, 23011739, 17470031, 71615469, 21748381, 140862904, 13112516, 67600540, 148363555, 5312691, 1309024, 1549220, 46042705, 15371020, 15581247, 41384463, 14356403, 9823384, 8874972, 4139590, 21147669, 182484876, 11712567, 54863345, 61760852, 9919743, 15893949, 21071992, 116325235, 129226213, 109689335, 85422202, 39668587, 2411081, 124972417, 137788241, 10151165, 84757146, 34292447, 7617318, 85786520, 26014536, 35578335, 6777749, 28922729, 17366602, 10654555, 84336555, 86923734, 14648640, 70766051, 47699173, 56202485, 44960964, 48164330, 139566993, 51402350, 107754139, 15472893, 25329720, 11128502, 22704879, 105937093, 7862580, 39001441, 20588532, 116247650, 173886896, 182438260, 95255415, 19249411, 76332171, 73455007, 205135835, 103852648, 12184028, 23136344, 192082432, 143590005, 52984891, 73828439, 1325224, 7492623, 23401976, 19222845, 79091183, 104997302, 113461032, 43573138, 8006431, 3962925, 22953946, 42171304, 22173503, 55982133, 74331234, 42055225, 19763267, 43313435, 35164341, 256671719, 31533926, 152283894, 1713248, 25211758, 3875981, 9524705, 14187457, 9219250, 162226585, 83135938, 7805551, 67476139, 13234703, 78707398, 109044932, 151358478, 54663602, 12517399 ], [ 6925873, 73957937, 9024081, 28210785, 40924872, 49959088, 143458038, 117250155, 29413131, 16677736, 76654063, 74243328, 71615469, 17884073, 57273016, 13112516, 18518610, 71958055, 51287163, 128972561, 69861726, 61453798, 19818532, 34088334, 8151623, 43176167, 75077144, 18140653, 12486572, 9811063, 145809542, 70712698, 39949637, 19490018, 9919743, 107832548, 85660278, 163874448, 103058690, 101321538, 26458142, 19494935, 98787651, 44469293, 75916244, 10151165, 2424444, 5528881, 12281717, 85786520, 185352309, 36357114, 12789386, 49755262, 74241463, 2284701, 98932246, 36552821, 14648640, 221127417, 75983765, 14572170, 166247101, 27627406, 61780481, 23458859, 2235822, 62997194, 50326426, 5403642, 140177897, 34557159, 26179740, 12467909, 20588532, 234777735, 130425484, 107055693, 44841138, 108127949, 76332171, 51068483, 24766906, 57259835, 163083992, 23136344, 76602052, 34969278, 6355826, 73828439, 28854300, 7492623, 23401976, 19222845, 13549639, 5229812, 12258690, 5507501, 27524355, 9350717, 22953946, 16196603, 22173503, 33373381, 165357810, 134518649, 145597258, 55990207, 35164341, 69180430, 2360303, 33666764, 93898343, 194919342, 162901039, 77874438, 14187457, 240264722, 3527865, 94962878, 7805551, 67476139, 6464083, 35781802, 74621554, 45767385, 233926784, 12517399 ], [ 274333149, 8225237, 91521943, 22218354, 94692035, 95704126, 456443217, 39141306, 71474924, 58461443, 83718208, 74243328, 40402635, 164064088, 27658822, 83577482, 206066800, 70263422, 51287163, 56392526, 8242521, 99561417, 44416997, 115848006, 88917026, 43176167, 150830222, 75995835, 2676216, 9811063, 216228118, 62884607, 5575326, 163191701, 9919743, 152748079, 85660278, 45190783, 217041723, 58658507, 133565885, 21288678, 98787651, 32496251, 251836186, 36002606, 135602929, 36143604, 48253226, 137774029, 26014536, 87331021, 111869230, 588389783, 952892, 11413574, 8870261, 195371164, 14648640, 225644936, 3042389, 46051379, 19248583, 48164330, 82403180, 137077539, 7727146, 104904603, 110576457, 11128502, 22704879, 34557159, 26179740, 19324379, 20588532, 22385404, 9697727, 156856293, 49381587, 19249411, 1842598, 104802437, 188841, 183263655, 77254106, 23974405, 198295901, 143590005, 67617605, 26076786, 154099637, 7492623, 97355380, 108569573, 44686485, 128714686, 47340093, 19589347, 50585731, 22731966, 19456083, 22447868, 64410245, 28107, 51408379, 140404894, 125521657, 43313435, 35164341, 49044164, 364340403, 86483263, 108892514, 440444133, 39057825, 77874438, 14187457, 9219250, 24346444, 82736259, 204093025, 76350134, 10283952, 28506081, 148756887, 132790744, 28061891, 58712210 ], [ 10343113, 22529708, 40672129, 23371577, 29895325, 7829423, 24642633, 106732355, 24406483, 16677736, 33741451, 17470031, 71615469, 64700187, 57273016, 193578527, 3767894, 44778422, 59459752, 147581798, 64249799, 70120030, 27724528, 34088334, 186614214, 43176167, 25798429, 143192, 16651970, 5953565, 64816080, 19256234, 42848124, 19490018, 9919743, 22598478, 85660278, 90589342, 65946066, 97631048, 42147465, 27436033, 49905013, 5422666, 16587453, 43955257, 3890878, 9339425, 45355881, 6903091, 27794976, 10030682, 2868360, 14985689, 35936643, 13802806, 67785897, 71019915, 1022621, 108998104, 61606123, 66316249, 48591002, 15008321, 50120798, 23458859, 55101463, 5224622, 94420609, 3985888, 24912773, 26930517, 26179740, 6787830, 20588532, 76258876, 15190177, 37133475, 95255415, 59806250, 95420460, 30477930, 24766906, 66031637, 48897944, 4804257, 51008975, 34969278, 11551154, 20790004, 28854300, 7492623, 17049686, 19222845, 20286424, 140446503, 9904138, 43573138, 90706319, 30702354, 24868546, 22447868, 21249530, 38917360, 18354612, 68175361, 32506258, 14415215, 7958284, 32906236, 8198026, 90874620, 27328226, 57384276, 147882720, 14610931, 14187457, 9219250, 24346444, 51565532, 51613150, 50472285, 6464083, 35781802, 23136354, 38869357, 9597562, 4643354 ], [ 48319627, 35377472, 40672129, 74511019, 136245013, 270127773, 78995092, 85205815, 135195683, 130413445, 74497494, 61828433, 8799657, 63070458, 18797007, 52862840, 18518610, 115646117, 79100274, 72121574, 27516842, 87131110, 23508368, 65539495, 8151623, 1778695, 17908736, 46274253, 4139590, 21147669, 122494714, 26965379, 128895918, 122830985, 9919743, 81755144, 15948992, 34814590, 9044383, 24504423, 61766466, 7658704, 55311449, 53935458, 23305849, 52150253, 46936003, 219662690, 14252704, 85786520, 5792562, 10030682, 2890714, 28863318, 54131715, 52604852, 20917968, 7865970, 14648640, 29087430, 247052010, 135760924, 39762022, 15008321, 39293493, 114958279, 9199391, 20876282, 12141502, 11128502, 35910822, 647801, 1721996, 60270550, 20588532, 76258876, 78619458, 233380735, 24397799, 19249411, 107238380, 48006655, 35507848, 94155543, 81340635, 23974405, 1942576, 127237482, 93559540, 43076009, 191962791, 7492623, 51109713, 19222845, 118353617, 76578567, 792451, 43573138, 7008549, 43131140, 24868546, 15764238, 1808726, 2842731, 85361570, 3628327, 92887243, 63785001, 118933817, 9097150, 8198026, 86895940, 41638114, 153315997, 45340032, 9524705, 14187457, 71828260, 162226585, 83135938, 20017916, 67476139, 42386113, 81277898, 14798645, 43081569, 54663602, 4643354 ], [ 73278332, 13262061, 10590528, 134749845, 33277103, 7829423, 42786248, 26348302, 11468070, 82890748, 11836062, 117858690, 71615469, 13920403, 4753522, 206620174, 35635354, 115646117, 14248063, 4188182, 29984501, 116153520, 54507159, 30033328, 208880816, 200747968, 109745216, 39720231, 36979083, 9811063, 43789112, 48525486, 24922262, 91141172, 9919743, 107832548, 236035341, 131624003, 74490067, 109689335, 108687630, 7658704, 18593728, 300003032, 91330508, 8738751, 8899107, 145062040, 175936688, 56346379, 26014536, 10030682, 164788313, 76280824, 93198243, 13802806, 62931609, 126129628, 39065278, 55267663, 15452109, 85831188, 33395442, 36769191, 180005608, 137077539, 131606927, 317627140, 107380024, 116082285, 94932526, 166078129, 26179740, 5108497, 54255781, 116247650, 15179998, 107885345, 161156263, 123108826, 76332171, 23948815, 205135835, 94155543, 140798236, 4804257, 182655187, 99141108, 36523646, 73828439, 128530741, 7492623, 8702321, 8024934, 119176544, 5229812, 145834806, 15323433, 139180469, 118518227, 207472463, 22447868, 52718830, 2842731, 49486769, 2904225, 127511623, 43313435, 35164341, 27081987, 17223704, 86332701, 108892514, 15592437, 144199753, 37966319, 17075402, 9219250, 24346444, 22717768, 9391604, 86565310, 919956, 39389127, 97987349, 492306184, 42261887, 47159831 ], [ 407326892, 31794376, 20675186, 311917730, 125013236, 7829423, 17837375, 26348302, 47429823, 474613200, 53693522, 55136879, 71615469, 19170202, 326009398, 398565495, 35635354, 58008113, 212393974, 138673085, 115533903, 46042705, 48133062, 29905141, 71670348, 47168326, 16674892, 109224622, 486323818, 356795207, 3901026, 187264413, 130629805, 219853, 9919743, 271565883, 20962707, 90589342, 162586864, 194479144, 24397237, 13424672, 49905013, 124972417, 7150152, 181581527, 46963576, 204926856, 331134396, 56346379, 26014536, 132918258, 164788313, 211551143, 16043503, 36514051, 24442330, 37007899, 14648640, 31863166, 416883383, 96510512, 41935063, 48164330, 222165366, 138530312, 147164591, 87708302, 242391222, 11128502, 47738403, 115550342, 162151918, 272079305, 274679480, 109085950, 142157452, 221568705, 95255415, 108979105, 162291132, 134758904, 24766906, 26791723, 228060825, 23974405, 143989921, 143590005, 35901352, 45315856, 128530741, 7492623, 191273026, 41413921, 16769773, 105860579, 26063013, 43573138, 270928730, 32328827, 143508536, 490376679, 41300367, 38373659, 19451382, 145422231, 14861593, 56838249, 35164341, 170075653, 147594662, 152283894, 108892514, 132767123, 803617215, 1778507, 14187457, 176970714, 207444234, 94962878, 103526719, 18566907, 142662399, 39389127, 104069106, 83112910, 73978564, 24776891 ], [ 63235793, 69760096, 20675186, 290401695, 136245013, 4580769, 126254206, 20816915, 191901603, 151371383, 102060460, 15935757, 4691642, 19170202, 50053741, 1399799, 280805881, 10648837, 36344461, 138673085, 33347506, 12478191, 738075, 29905141, 62286201, 151730003, 212271748, 68582604, 4139590, 21147669, 70028838, 45739710, 47875598, 39176812, 9919743, 14290147, 103406941, 142709332, 222452322, 2087581, 44288010, 39668587, 34362516, 124972417, 148038832, 67805474, 39498435, 134789964, 60233218, 155066494, 26014536, 72247099, 111096073, 164600322, 19552087, 21193721, 131381098, 112475062, 14648640, 31863166, 3042389, 2216270, 38504136, 48164330, 25872681, 152204219, 122546032, 72949728, 11263243, 3774376, 228117899, 104722467, 53438431, 23540961, 11301448, 93405072, 760299, 4232416, 95255415, 1257604, 132836599, 150882617, 71713887, 228571800, 124830235, 23136344, 44128039, 38692286, 52984891, 73828439, 128530741, 7492623, 135908826, 19222845, 60854711, 65146730, 64743094, 22454238, 142766778, 321143, 101731487, 94989393, 11606056, 28107, 47855926, 191618995, 138197536, 54216714, 79205833, 89389321, 84824636, 152283894, 108892514, 16474561, 227652658, 62457865, 14187457, 65438270, 109270987, 68721987, 103526719, 114772796, 52551114, 56564110, 108237913, 33152799, 35388483, 158189237 ], [ 36165227, 97085922, 2454403, 43609899, 12984759, 74252081, 132309120, 24139189, 47429823, 71013518, 6003605, 55136879, 36188612, 59370111, 49382248, 398565495, 73125700, 243656709, 1403933, 28941804, 16563273, 46042705, 54507159, 107564858, 79409986, 32056800, 10138301, 3767111, 67213595, 21147669, 36342808, 96551264, 130629805, 209947214, 38302511, 406693726, 1495963, 29311702, 484918, 165317736, 90302740, 39668587, 49905013, 201323149, 25020292, 181581527, 46963576, 250567018, 100904096, 66523936, 218000714, 105897968, 138726360, 109565665, 74241463, 2477835, 48212736, 8221730, 38478205, 16330527, 2470016, 163526627, 164243119, 23951579, 745699, 83957561, 37979439, 107018213, 163030879, 75709387, 65080746, 73698525, 195213509, 28358421, 15426835, 20819608, 3928428, 55451337, 106097577, 108979105, 45404420, 10158467, 24766906, 57863638, 57467931, 169104979, 120078577, 143590005, 52984891, 81858316, 95865026, 114032897, 98587144, 19222845, 19873595, 24765881, 67706453, 43573138, 110766261, 32328827, 93999607, 1333901, 140804648, 114835017, 18629613, 60476281, 160122026, 291330493, 35164341, 78500556, 131121480, 76713074, 34900327, 15592437, 88138403, 77874438, 64456563, 61549788, 35753883, 11520981, 9391604, 76350134, 117498329, 57265303, 223595272, 41984020, 86532592, 70664553 ], [ 110637352, 36539407, 91521943, 80487212, 39522632, 118146209, 3741156, 26348302, 31816588, 14141334, 119367130, 47126856, 4691642, 96833354, 102034964, 13112516, 35635354, 7714487, 11338408, 50333601, 29984501, 32090228, 54507159, 34088334, 44202744, 117016792, 147914446, 9297054, 85673659, 21147669, 182484876, 4547389, 6195173, 330816472, 9919743, 74725220, 27137660, 57957112, 55387875, 101321538, 69400331, 159796691, 34362516, 78721746, 7150152, 8738751, 40358743, 5528881, 60233218, 13809418, 26014536, 8049892, 160574062, 49755262, 18010919, 34775875, 22877542, 472332237, 66967279, 107578752, 53807316, 162615304, 33395442, 32744536, 3254430, 178345831, 131606927, 71913506, 65801535, 11128502, 47738403, 104722467, 162151918, 8095366, 49304217, 9022882, 84094160, 176216109, 100810834, 146209604, 121305414, 180617129, 40525522, 183263655, 83299099, 23136344, 9650165, 65261005, 47087107, 12571273, 89650984, 7492623, 23401976, 9431083, 62289908, 5232805, 47946239, 3374612, 61738332, 42356508, 22953946, 79870237, 22173503, 33373381, 49486769, 1637647, 30097089, 18029310, 20953012, 208282623, 26152720, 152283894, 3314149, 85909852, 25590541, 12788432, 221657, 9219250, 162226585, 22643413, 7805551, 5521808, 74664934, 40657849, 115415838, 53069861, 194455763, 12517399 ], [ 73278332, 16340085, 40672129, 14325490, 47334972, 7829423, 3430408, 9575149, 20229032, 77985592, 11836062, 7556272, 52601560, 12265261, 54241451, 2000970, 35635354, 56652289, 2635218, 19348800, 151693697, 98766317, 54507159, 1526538, 14533353, 285087, 1271261, 34663179, 33120409, 9811063, 10147561, 38606700, 117146760, 15044073, 9919743, 158620482, 32541078, 57957112, 23580742, 98362926, 108687630, 74514401, 34362516, 101918555, 91330508, 5564078, 8899107, 145062040, 14820136, 25527181, 26014536, 10030682, 109251388, 21778984, 19552087, 12221867, 18924224, 66324518, 14648640, 13100196, 3042389, 40810982, 105140044, 15008321, 96332177, 19596352, 60157750, 52409606, 94420609, 11128502, 65080746, 18300819, 26179740, 12467909, 20588532, 29962433, 687837, 31532024, 12156992, 64804402, 72730439, 39596907, 24766906, 6769815, 8841244, 23136344, 9650165, 34969278, 85715657, 25591598, 28854300, 7492623, 77572742, 19222845, 53606685, 1468993, 64743094, 979604, 112084006, 107343912, 30815442, 22447868, 52718830, 28107, 49486769, 47516633, 11141885, 43313435, 13086775, 125860528, 31533926, 152283894, 108892514, 31420260, 88138403, 22788190, 14187457, 9219250, 24346444, 48018908, 74588072, 67476139, 6464083, 39389127, 26256355, 84347372, 35388483, 41236674 ], [ 66086145, 97085922, 41946292, 4412698, 136245013, 71515230, 98350183, 26348302, 86166459, 14650532, 3134393, 15054942, 84520594, 239325587, 60931390, 130913996, 35635354, 35210160, 51287163, 7584262, 22805599, 12478191, 27542228, 34088334, 32404941, 117016792, 6116066, 46274253, 36979083, 9811063, 17570951, 71019211, 28190702, 12880190, 22760418, 74725220, 23262450, 68112369, 20088130, 9967627, 44288010, 27596060, 34362516, 14539178, 139480427, 112446226, 87734577, 145062040, 14468355, 12824049, 26014536, 66976331, 45328380, 21139736, 85852301, 13802806, 35537402, 26083446, 25272896, 161695265, 53807316, 35379752, 43978709, 3154002, 23182152, 23458859, 31071810, 20876282, 114870372, 11128502, 17076219, 64570389, 26179740, 11856924, 176015694, 112378566, 65833966, 60945208, 24397799, 1081391, 25257053, 99339, 269953657, 21883622, 75852891, 23136344, 7861487, 134674203, 36523646, 41985815, 41389283, 164423346, 78426205, 19222845, 29517838, 5229812, 47946239, 43573138, 113180284, 81208466, 58763506, 9498304, 1328670, 42464866, 49486769, 2904225, 280366955, 55115842, 24370742, 13010805, 30999458, 62371700, 34900327, 102948098, 54283146, 77874438, 18317822, 240264722, 24346444, 22717768, 119816125, 54314133, 66237902, 39389127, 142313791, 166270172, 23700203, 1734627 ], [ 20355458, 97085922, 74388759, 4412698, 136245013, 7829423, 76975234, 13114220, 31816588, 16677736, 408162222, 31602244, 65459510, 42278554, 60931390, 18843896, 75252243, 10053466, 45008831, 138673085, 29984501, 4874411, 39892445, 34088334, 32404941, 172877156, 7304708, 151307675, 4139590, 6847388, 33422527, 92432540, 13192576, 18522978, 7603521, 121188832, 27781479, 95420837, 41352778, 94387419, 87661928, 124550739, 98787651, 14539178, 33204479, 89998484, 35252145, 61111566, 189580412, 12824049, 26014536, 86665551, 45328380, 5150991, 98129014, 13802806, 62455482, 44354397, 31180047, 7096110, 48861516, 35379752, 33395442, 10703012, 91914071, 23458859, 77986125, 14403749, 135699573, 11128502, 310778949, 35693120, 26179740, 11856924, 117191770, 116247650, 21526573, 21076761, 43615876, 19249411, 8213627, 174348713, 40525522, 150441321, 35134168, 23136344, 35787454, 27517497, 26360257, 40272716, 92229190, 7492623, 78426205, 19222845, 103034664, 5232805, 42845209, 6371671, 159342348, 81208466, 57881407, 22447868, 64410245, 51432934, 108013928, 10148911, 192966433, 10682196, 96387823, 67570893, 31533926, 51741633, 23507815, 75091584, 66486379, 948996, 47784467, 9219250, 1231057, 83135938, 113865562, 111448997, 38535377, 35781802, 136348263, 29646304, 4450784, 123716021 ], [ 14107149, 365479848, 91521943, 4412698, 136245013, 38081745, 81223123, 26348302, 80612661, 140338197, 63894381, 12829269, 131375483, 107501630, 23609316, 69497626, 31779127, 43332863, 19897359, 131129715, 29984501, 41601143, 52292132, 34088334, 3249289, 169774264, 16674892, 31043805, 28364289, 21147669, 32318278, 14104276, 39255008, 42594670, 89596260, 57877349, 110448611, 78204615, 44363295, 36700884, 38921735, 39475214, 34362516, 124972417, 36597070, 89998484, 191320393, 57322508, 60233218, 12824049, 26014536, 36602426, 45328380, 25995624, 62212096, 30920268, 62931609, 3789424, 107967809, 108112636, 53807316, 35379752, 33395442, 10703012, 44800508, 97534541, 24956497, 130077762, 26866156, 11128502, 257233114, 126197054, 14400624, 11856924, 155037034, 149462396, 162448672, 130136450, 43615876, 67138780, 67199024, 47292164, 229567209, 140116245, 4667868, 23136344, 158495790, 143590005, 36523646, 55513661, 119485024, 288514377, 53375586, 19222845, 166471563, 5232805, 49803073, 43573138, 228022515, 154455089, 118121765, 101543076, 48659214, 45604251, 49486769, 10148911, 1436212, 199328976, 23647135, 41068134, 83419400, 141364771, 34900327, 3457816, 184373931, 77874438, 123359600, 4263372, 33613536, 12333817, 9391604, 49731241, 87110961, 78707398, 186838709, 92101877, 185868633, 35432576 ], [ 155654907, 97085922, 34900731, 52262630, 23878852, 7829423, 11142857, 26348302, 31816588, 74157436, 22907577, 40028156, 8799657, 177384777, 61784651, 130913996, 35635354, 148363555, 20495823, 12230160, 6386475, 32090228, 54507159, 112736680, 15072477, 455495, 103891994, 82582567, 15008200, 9811063, 130237135, 48525486, 42958870, 19490018, 9919743, 107832548, 209660942, 94981046, 39922399, 98780525, 85422202, 45973644, 17055804, 124972417, 39039705, 181581527, 180597672, 98580688, 51165859, 56346379, 26014536, 70601300, 107252943, 28863318, 115547, 13802806, 179471924, 7865970, 14648640, 14786749, 16854207, 37408271, 43978709, 48164330, 99832564, 23458859, 24956497, 71913506, 23333317, 11128502, 27213168, 104282797, 26179740, 12467909, 27303075, 57369401, 260935794, 74305015, 15719062, 3675524, 110618098, 42748598, 40525522, 45877016, 61016156, 23974405, 55967756, 110312892, 161549545, 25591598, 28854300, 7492623, 34141793, 19222845, 97838497, 5229812, 64743094, 43573138, 272014843, 69333553, 118121765, 22447868, 3500605, 51981913, 49486769, 54920280, 1030147, 18029310, 168826237, 68911876, 22496294, 5491031, 3314149, 70752709, 20308038, 22788190, 14187457, 281226863, 24346444, 12333817, 20933357, 67476139, 6464083, 39389127, 186838709, 95588817, 37321303, 75920074 ], [ 167708959, 49061805, 74388759, 4412698, 1773737, 137611764, 81223123, 41655514, 12276053, 77985592, 106954476, 55136879, 162302188, 43984272, 55628023, 47815017, 18518610, 59611028, 85121897, 78801210, 29984501, 46042705, 10966645, 8805496, 8151623, 18166776, 22853199, 31043805, 85673659, 21147669, 20867205, 38852545, 130629805, 18522978, 7603521, 42459799, 105430492, 11464452, 86884185, 64448995, 188043164, 39668587, 22970055, 2489092, 111363051, 23599389, 46963576, 11190101, 22152585, 12824049, 26014536, 87331021, 7060369, 92747391, 16111124, 23754173, 163897309, 13661484, 129080427, 57637243, 273013539, 35379752, 33395442, 57173112, 113507562, 23458859, 38376935, 57702952, 17798266, 11128502, 17582944, 153228347, 94113681, 11856924, 49304217, 131981855, 19107564, 23355992, 82872224, 1257604, 132836599, 156045941, 12952238, 45077948, 75852891, 23136344, 35069163, 41634542, 36523646, 73828439, 119485024, 91076460, 11638314, 19222845, 44715733, 5229812, 29930575, 6371671, 228022515, 32328827, 248177336, 79870237, 64410245, 113836291, 36005513, 10148911, 30097089, 185295986, 64410654, 68911876, 42601008, 51741633, 86322274, 63331020, 66486379, 12788432, 20978695, 90181894, 39902837, 22717768, 72384762, 44399610, 87110961, 167190486, 78854301, 33152799, 39011870, 16126660 ], [ 1385030066, 2185216020, 867319684, 1830115033, 896216238, 54507582, 1719703132, 464467108, 479662996, 492154678, 56884539, 728951422, 531213721, 1228453700, 1107380933, 1000606905, 737678653, 148363555, 170926699, 138673085, 503889179, 389948930, 1037981103, 238210887, 782799385, 165920658, 159337546, 72340201, 130307446, 1310356832, 604255052, 811864650, 2145437781, 52200112, 700812123, 158878159, 1711477002, 361223647, 1314055982, 424390510, 66403849, 749669057, 463188867, 300003032, 1065120962, 2006721011, 53317908, 269150617, 222501869, 702058689, 26014536, 1934763011, 630518188, 1083104161, 1041629180, 272936609, 334246421, 672911886, 604220382, 690266672, 1254243849, 725988850, 220156106, 192936015, 1428089728, 1043660414, 90589243, 569843022, 535701918, 1758532781, 305941769, 230449773, 632549488, 1001052048, 1906237463, 371661980, 700608192, 654466009, 753041229, 1094885796, 404264259, 85794052, 847635212, 185993420, 371790041, 267590382, 192082432, 1477603810, 95843728, 384935070, 152138884, 76628343, 987139374, 338810044, 64264847, 1621252084, 242640728, 212267564, 1766233663, 1020236159, 726824061, 79870237, 2116593439, 349085164, 551344832, 222558476, 52719948, 1352455998, 920990704, 234276158, 1907849289, 129725334, 338796005, 6531870, 1736848573, 789708203, 463440739, 1643306977, 631874734, 418932093, 669918986, 26914086, 318893884, 495031808, 306721294, 250870628, 577115735, 4334444 ], [ 24568957, 48647232, 74388759, 4412698, 68797297, 7829423, 132309120, 26348302, 31816588, 77985592, 11836062, 31602244, 71615469, 67212183, 57273016, 69497626, 35635354, 138543969, 63583651, 128972561, 1549220, 78000045, 54507159, 13165614, 22708003, 101192779, 137355885, 8874972, 4139590, 9811063, 54383070, 35171608, 130629805, 19490018, 9919743, 31685849, 44877294, 125350875, 42903468, 2087581, 11142073, 178656804, 34362516, 1120881, 36597070, 72681927, 35252145, 5528881, 60233218, 12824049, 26014536, 87331021, 130475832, 28863318, 47110452, 13802806, 172583182, 46697041, 14648640, 123626732, 311748975, 35379752, 33261372, 10703012, 93670091, 83767180, 110304335, 11729070, 25329720, 8937545, 10978518, 125672065, 26179740, 11856924, 89499044, 73953910, 21526573, 90102240, 24397799, 19249411, 67199024, 629887, 40525522, 23507974, 75852891, 23974405, 77714243, 125779475, 48669013, 11347502, 26706812, 7492623, 17645328, 16402299, 15272083, 113269742, 11518810, 43573138, 74247376, 91173177, 99357158, 6227883, 64410245, 33373381, 161892340, 134518649, 2331077, 43313435, 96387823, 85577886, 169159834, 51741633, 108892514, 15592437, 139097036, 66124152, 4778538, 9219250, 24346444, 83135938, 9391604, 47843680, 6464083, 39724630, 30144140, 169227122, 4450784, 35772956 ], [ 24568957, 230460544, 61125522, 66718259, 82466440, 7829423, 46756581, 24077093, 24618601, 88777570, 119367130, 39312800, 71615469, 13920403, 74577014, 306854930, 31779127, 81986280, 63583651, 120893494, 159244361, 78000045, 15394990, 227565157, 31098762, 117016792, 137355885, 61993387, 4139590, 6117471, 54383070, 130652369, 92606605, 75366654, 9919743, 136004960, 219854589, 21224022, 17118206, 26723723, 36108440, 26317362, 98787651, 124972417, 239972320, 92691144, 271065143, 98960917, 154823277, 169784130, 15383545, 87331021, 78451727, 28922729, 1746516, 86751626, 179471924, 46697041, 142362620, 199376144, 53807316, 48287149, 38504136, 485589, 70164778, 23458859, 9199391, 26535239, 136008579, 11128502, 224436269, 61897468, 97745904, 60270550, 165489844, 29962433, 72265969, 92990750, 19353368, 1100011, 25746398, 167155196, 187060446, 69632378, 90763931, 3768775, 302734959, 143590005, 39498949, 73828439, 264713914, 7492623, 76566543, 19222845, 264493512, 65146730, 11518810, 43184542, 104405108, 3962925, 86423294, 127806360, 24666249, 15381447, 29603894, 47656443, 332488483, 43313435, 44293605, 109496287, 43458299, 102618420, 82641380, 31023677, 20138401, 77874438, 102587368, 9219250, 43538294, 83135938, 32182005, 47218007, 61247306, 23839818, 97987349, 83112910, 23861418, 158189237 ], [ 24568957, 97085922, 33202465, 157120283, 102434796, 7829423, 40113024, 20143976, 47429823, 43240855, 33741451, 55136879, 8799657, 75666424, 50053741, 69972879, 35635354, 10648837, 2213110, 28941804, 29984501, 38219813, 54507159, 117605892, 11501625, 46559750, 185029544, 166038206, 36979083, 9811063, 54383070, 28857644, 37924836, 19490018, 45789018, 22598478, 48222143, 90589342, 12969820, 75025249, 161630182, 76255463, 16118041, 124972417, 58374260, 153062556, 46963576, 33027000, 76355482, 41380616, 26014536, 35578335, 146891809, 211551143, 74241463, 13802806, 177720195, 7865970, 66935778, 82513676, 53807316, 163526627, 33395442, 15008321, 93670091, 137077539, 55101463, 86246815, 94420609, 11128502, 32026260, 104722467, 26179740, 12467909, 94543261, 116247650, 142157452, 62078491, 145075117, 48958313, 10746066, 73455007, 12545425, 140116245, 101865112, 98630393, 143989921, 42897, 112453422, 73828439, 28854300, 17197063, 47854487, 19222845, 60854711, 5229812, 11518810, 43573138, 97770868, 139996173, 80789424, 6227883, 44500964, 50409604, 5910747, 5937249, 250737365, 63785001, 7958284, 17394238, 288898239, 27382384, 22799841, 143204687, 14471714, 9524705, 171585330, 160494560, 24346444, 51565532, 146416411, 67476139, 6464083, 35335042, 48606320, 82368925, 176402032, 13783201 ], [ 84401073, 83328899, 91521943, 157120283, 136245013, 128441989, 3741156, 11122756, 47429823, 28915564, 23414985, 31649481, 71615469, 190290853, 57273016, 110662921, 121259239, 78097557, 2576077, 25067792, 29984501, 118009155, 11067460, 34088334, 15072477, 455495, 17558543, 8874972, 85673659, 21147669, 182484876, 4276608, 130629805, 30705108, 9919743, 74725220, 66556052, 158678515, 47226118, 36700884, 42147465, 420153046, 98787651, 44689596, 45109329, 17266570, 46963576, 33027000, 79187697, 52133795, 26014536, 66976331, 246096465, 28922729, 47110452, 86751626, 17500540, 8221730, 412715695, 37535908, 19315989, 118110339, 33395442, 74046888, 109739542, 180770931, 101831917, 38122659, 23333317, 11128502, 27213168, 104722467, 156246820, 20330484, 1210526, 38454805, 127522237, 62078491, 20106410, 26225179, 13761532, 30477930, 24766906, 34098871, 43158043, 23136344, 18630531, 143590005, 111240981, 121560577, 25901517, 7492623, 47854487, 19222845, 24516914, 5229812, 47946239, 33673721, 212829161, 3962925, 14369341, 45232064, 64410245, 25339270, 49486769, 90330258, 751071, 136184352, 12821873, 48503409, 8198026, 19797370, 1250663, 15844133, 54283146, 77874438, 55263645, 135279616, 39902837, 62274976, 145010255, 123985823, 61771202, 78707398, 186838709, 21819546, 274779817, 79081622 ], [ 159742132, 13262061, 91521943, 4412698, 35280628, 76289522, 14812642, 10882454, 326065059, 22953971, 23258688, 74243328, 28449878, 2662955, 59603933, 122730566, 35635354, 10053466, 21654249, 19344876, 58015787, 32527896, 54507159, 65690371, 4155465, 11444678, 7868675, 11406184, 83793919, 21147669, 108267654, 45632430, 55748461, 19490018, 9919743, 22598478, 81067513, 242374088, 78384644, 80415472, 112270271, 237250053, 98787651, 24140305, 7150152, 38061360, 64958817, 36373952, 101150932, 12824049, 26014536, 126759199, 3231374, 27222303, 46894871, 5015187, 18247964, 231877324, 95386526, 149653581, 53807316, 149251057, 58035843, 74046888, 4695700, 102163540, 6973459, 20876282, 17034006, 11128502, 94932526, 148035287, 125994854, 12467909, 137897006, 129627207, 29201602, 4232416, 24397799, 10232553, 104803169, 47292164, 27707243, 89873703, 6724248, 97995113, 155023364, 34969278, 35849201, 5362144, 28854300, 7492623, 112610509, 19222845, 67428035, 14346587, 132265331, 1276448, 115403121, 118518227, 171105297, 261544922, 48659214, 84108323, 49486769, 109648123, 162487657, 49394737, 71446452, 10467832, 59843449, 35473449, 34900327, 15592437, 144199753, 77874438, 11151568, 18397689, 84983974, 51565532, 9391604, 89618582, 6464083, 68287414, 156717254, 13483105, 40991438, 26619903 ], [ 125855568, 48647232, 91521943, 4412698, 35280628, 7829423, 30202580, 10728620, 47429823, 22953971, 23414985, 69354034, 71615469, 75666424, 59603933, 197393455, 35635354, 129850139, 67004930, 12230160, 29984501, 32527896, 54507159, 34088334, 35039571, 455495, 26468430, 1304284, 4139590, 9811063, 145809542, 72608530, 37924836, 59090802, 9919743, 22598478, 31600162, 941774, 23580742, 90318105, 125121146, 74514401, 13278901, 55995423, 222415398, 8738751, 46963576, 33027000, 42823446, 12824049, 26014536, 12499962, 246096465, 21139736, 74241463, 13802806, 61502600, 500064, 80199627, 37539156, 18907541, 53945050, 33395442, 36769191, 4695700, 8767110, 69275328, 3498867, 23333317, 11128502, 17198395, 3478984, 26179740, 60270550, 18865190, 57369401, 142157452, 36564773, 10845223, 19249411, 283824684, 47292164, 24766906, 183263655, 6724248, 23136344, 4519966, 63061736, 16318277, 69120244, 90594670, 7492623, 47854487, 19222845, 46717794, 5232805, 64743094, 6823891, 82813620, 81208466, 36015303, 22447868, 48659214, 18143679, 51408379, 58838564, 142324235, 43313435, 35164341, 125255807, 31533926, 117837458, 103804387, 15592437, 7416612, 37495361, 38713293, 9219250, 24346444, 32334778, 1819671, 27708952, 10839648, 28196801, 108646659, 44593846, 54663602, 26619903 ], [ 63235793, 97085922, 91521943, 36703392, 25910147, 7829423, 31405276, 20816915, 31816588, 14141334, 22907577, 28429720, 8799657, 71096415, 57273016, 21034128, 21648735, 10648837, 51287163, 15163429, 29984501, 99363257, 7097485, 34088334, 21710163, 43176167, 17558543, 31258828, 4139590, 21147669, 34202976, 247786119, 68969608, 134182333, 9919743, 54182733, 27252679, 52916695, 202643338, 36700884, 112270271, 7658704, 374018, 135106008, 56922905, 5564078, 115922021, 36373952, 27658597, 13809418, 26014536, 13283141, 95141153, 66107608, 143117744, 119179576, 103045746, 7865970, 38478205, 43571974, 99257009, 48287149, 33395442, 4081438, 14845455, 114734156, 9903185, 71913506, 17798266, 79892527, 22704879, 6038789, 43998752, 60270550, 20588532, 111852234, 48982349, 34125965, 44841138, 19249411, 45404420, 47292164, 40525522, 34098871, 6724248, 23136344, 56588923, 63061736, 23393398, 5362144, 1357031, 7492623, 120418407, 19222845, 242019943, 5232805, 50727531, 6823891, 310578, 26937213, 12257796, 91003484, 11567449, 2842731, 18629613, 54920280, 162487657, 93866529, 9632529, 90910513, 24044944, 86645591, 34900327, 15592437, 22339903, 9524705, 60428375, 64833627, 162226585, 11520981, 9391604, 76350134, 42386113, 30294394, 76355897, 5692126, 54663602, 26619903 ], [ 63235793, 83328899, 20551867, 107654771, 25910147, 7829423, 81223123, 160607, 47429823, 22953971, 975437, 31602244, 40131892, 13920403, 23609316, 21736456, 21521887, 102209194, 36161704, 19344876, 1549220, 98375742, 54507159, 34088334, 31594113, 43176167, 9823384, 8874972, 4139590, 21147669, 161280117, 94146601, 130629805, 150857322, 9919743, 15893949, 1140966, 100440667, 14073704, 30502335, 188043164, 6511714, 98787651, 124972417, 149791809, 10914927, 46963576, 28538266, 22709165, 3728851, 26014536, 87219144, 98355276, 67955405, 37146219, 31753198, 31986973, 84306054, 58771131, 90923096, 53807316, 48287149, 24636218, 11946234, 90858094, 114734156, 110304335, 20876282, 25329720, 11128502, 22704879, 6038789, 4760458, 34873797, 20588532, 116247650, 110310418, 66061562, 85213851, 10251915, 197780416, 65197814, 24766906, 39914296, 140798236, 23136344, 71541590, 33878282, 79455945, 70932635, 66873785, 7492623, 18179967, 19222845, 212611617, 5232805, 26097747, 35536884, 110766261, 91173177, 6496455, 6227883, 64410245, 2842731, 18629613, 136739244, 38484741, 43313435, 118933817, 49044164, 74317690, 51741633, 108892514, 31023677, 20138401, 13721683, 69370192, 9219250, 162226585, 60769819, 10094996, 76350134, 85358323, 143142041, 97987349, 243351270, 54663602, 81159617 ], [ 61276024, 97085922, 27156500, 53684186, 125013236, 7829423, 81223123, 26348302, 47429823, 51252237, 119367130, 50368910, 45110786, 51057216, 171103628, 69497626, 6067266, 125722950, 6150042, 56392526, 29984501, 122267771, 27542228, 34088334, 219155433, 21434280, 48849525, 2566108, 4139590, 21147669, 114118513, 25056992, 84672702, 61760852, 11239310, 41163899, 140274632, 90589342, 17118206, 61987849, 56845272, 68854832, 26776688, 124972417, 36597070, 8738751, 4572319, 28538266, 60233218, 85786520, 26014536, 87331021, 31024540, 115949654, 45390288, 39193901, 38742895, 46697041, 338201168, 48091385, 53807316, 35379752, 32872819, 10703012, 72999968, 83767180, 131606927, 96825983, 106429045, 11128502, 1927362, 166194665, 2585693, 11856924, 99607073, 94449962, 12473743, 52647662, 43615876, 19249411, 25257053, 47292164, 24766906, 14250187, 75852891, 23136344, 4107205, 58174523, 194346234, 11347502, 66673514, 82454946, 9277716, 6362173, 59640216, 5229812, 64743094, 29376298, 39225785, 65045025, 166358220, 6227883, 64410245, 46225723, 49486769, 136739244, 2331077, 151232887, 35164341, 11862807, 31533926, 18245555, 191116899, 15592437, 70437105, 13721683, 123359600, 3660070, 39902837, 83135938, 9391604, 19332191, 17832662, 78707398, 186838709, 166270172, 45466450, 21660261 ], [ 73278332, 13262061, 48196175, 64010206, 136245013, 42600000, 81223123, 53339978, 15538033, 233495439, 38036421, 74243328, 71615469, 21677042, 1649830, 12482384, 89740033, 68281884, 215745155, 28941804, 29356258, 118009155, 54507159, 30265834, 15072477, 2984515, 75664446, 4399098, 85673659, 21147669, 90105736, 75413988, 23863825, 52191561, 9919743, 37995233, 12644626, 51300435, 53513690, 12968820, 36108440, 112277313, 98787651, 24447404, 152366056, 116921833, 46963576, 5528881, 155133454, 26018692, 15383545, 57295167, 10561286, 67955405, 74241463, 22074829, 129576733, 8221730, 14648640, 43127622, 72801536, 97305873, 33395442, 48164330, 405771896, 23458859, 40695318, 116873020, 55697751, 11128502, 1267708, 84743386, 43998752, 121758015, 51538701, 29962433, 142157452, 62078491, 19353368, 26225179, 45404420, 153835770, 24766906, 251925190, 315316446, 23136344, 192082432, 66518468, 35185801, 16262491, 13438897, 7492623, 47854487, 19222845, 64417613, 73875234, 35212484, 6700497, 148650722, 81208466, 214604120, 79870237, 37542637, 28666453, 29603894, 115582686, 38484741, 199328976, 22937404, 20602581, 31533926, 89603143, 82641380, 58672491, 76604182, 77874438, 14187457, 135279616, 162226585, 90507478, 32182005, 15816928, 17832662, 39724630, 306721294, 17367522, 33560528, 82023210 ], [ 6925873, 75324996, 40672129, 27543629, 1646717, 7829423, 29738778, 17097740, 15696822, 74157436, 6331684, 38819351, 3670534, 13920403, 55902428, 21034128, 7619152, 10053466, 5312691, 564141, 23712659, 29508128, 51349380, 34088334, 21710163, 12564057, 10281903, 2539870, 36979083, 9811063, 1020483, 1452202, 63185805, 19490018, 5691148, 39052838, 27252679, 941774, 12969820, 15812072, 6395092, 7658704, 84751845, 24447404, 21142823, 10151165, 96064311, 14156480, 7617318, 50917084, 26014536, 10030682, 10561286, 49755262, 17366602, 13802806, 62931609, 1079075, 6884683, 43571974, 64474081, 34615332, 10055390, 48164330, 758187, 114224552, 80183561, 3934247, 80335514, 11128502, 22704879, 84743386, 26179740, 12467909, 20588532, 47751326, 3033403, 62078491, 29660403, 17087686, 49030490, 51068483, 113438556, 73560186, 289758, 23136344, 26496836, 16140281, 52984891, 40087474, 25901517, 7492623, 23401976, 19222845, 48929124, 5229812, 41953288, 11293016, 97770868, 26937213, 57148532, 6227883, 11878027, 2842731, 165357810, 42055225, 8234561, 5698993, 22937404, 38805870, 15910882, 96419578, 1250663, 15844133, 98618296, 7055072, 6292514, 111119502, 24346444, 9649700, 7805551, 27708952, 6464083, 25890610, 12114064, 12182851, 33560528, 68606861 ], [ 133926305, 110676249, 31739132, 50682523, 102196809, 108237853, 81223123, 105543323, 40306745, 14650532, 6331684, 20146360, 71020955, 177384777, 1649830, 42286843, 11748746, 35210160, 51287163, 32986516, 29984501, 317877903, 54507159, 34088334, 15072477, 12564057, 195257969, 33964439, 85673659, 21147669, 182484876, 117870395, 44603923, 109317665, 9919743, 137120234, 11560788, 10236482, 32765113, 48807174, 6395092, 105594232, 98787651, 744442, 21142823, 10151165, 27470492, 11190101, 42823446, 27023157, 26014536, 48322024, 3231374, 49755262, 9105826, 18887864, 155112592, 34742023, 6884683, 120820717, 64474081, 173398000, 10055390, 249426123, 35286264, 178345831, 62870890, 20876282, 4426774, 7789227, 59067888, 84743386, 175459443, 179627110, 18865190, 47751326, 3033403, 60945208, 83933135, 1081391, 77230410, 38620335, 53495629, 140116245, 54194653, 23136344, 252577716, 134674203, 69036259, 252047396, 119485024, 7492623, 23401976, 3644068, 70255812, 5232805, 61973631, 6823891, 41613335, 116978336, 120270938, 6227883, 22173503, 38092771, 51408379, 4696912, 131360239, 47983232, 22937404, 150118051, 31216632, 152283894, 34900327, 22056010, 182944468, 37495361, 123359600, 111119502, 60724384, 94962878, 7805551, 167929751, 85358323, 85752042, 78854301, 17367522, 33560528, 61077805 ], [ 6925873, 83328899, 91521943, 80487212, 25910147, 7829423, 123781816, 130453420, 15696822, 71013518, 151853792, 74243328, 41579324, 39175709, 108407767, 133220773, 62149801, 139013046, 51287163, 128972561, 69861726, 40846052, 16871695, 34088334, 79409986, 470916396, 24370520, 2539870, 36979083, 9811063, 182484876, 44303743, 176707072, 109317665, 9919743, 167918423, 15948992, 10236482, 131021875, 15812072, 129236485, 10793427, 49905013, 37500296, 239972320, 72681927, 255496785, 5528881, 150481908, 50917084, 385584985, 86665551, 59793982, 175944293, 98129014, 13802806, 123247123, 71019915, 14648640, 2378676, 64474081, 97305873, 198435133, 47980771, 92890959, 22279441, 80183561, 102672452, 163030879, 11128502, 53217957, 14233613, 26179740, 22558804, 432979246, 116247650, 201646673, 176216109, 95255415, 217388253, 76332171, 156045941, 83851356, 105395607, 315316446, 23136344, 143989921, 143590005, 48669013, 73828439, 12983630, 7492623, 196627590, 19222845, 163961914, 165881465, 126776090, 43573138, 110766261, 32328827, 444677434, 7469157, 46124803, 28666453, 18629613, 134518649, 131360239, 5698993, 35164341, 328108183, 15097123, 152283894, 108892514, 47491451, 98618296, 77874438, 14187457, 111119502, 24346444, 44361999, 10094996, 109604538, 142662399, 3030832, 74621554, 165614398, 275393697, 82023210 ], [ 19594632, 46083030, 91521943, 50682523, 136245013, 7829423, 97129088, 26269256, 47429823, 16677736, 116790948, 9990557, 71615469, 138108384, 3774993, 77492958, 35635354, 35210160, 108547777, 213924450, 23712659, 46042705, 54507159, 91592187, 4323295, 32832956, 41961669, 9776443, 54966308, 21147669, 177494748, 19256234, 115046424, 19490018, 9919743, 39052838, 89979232, 43621029, 17080176, 64448995, 6395092, 39668587, 93921160, 41882169, 21142823, 10914927, 3890878, 28538266, 88200748, 45603943, 20684276, 82219332, 13656954, 67955405, 6239824, 10654555, 17628513, 6044690, 6884683, 937238, 66981122, 2638464, 103402809, 18284381, 28367226, 37695852, 131606927, 52881023, 72387701, 7789227, 4766755, 154840611, 104330210, 6787830, 163958581, 116247650, 110310418, 60945208, 165708288, 26225179, 52194133, 35924575, 24766906, 13149733, 44157080, 119163882, 93628475, 123070511, 52984891, 7057523, 28854300, 7492623, 33788022, 19222845, 133625491, 5229812, 115127091, 43573138, 64520074, 32328827, 61104428, 127355822, 13100961, 13618800, 39990073, 150049881, 38076923, 79723523, 136656416, 25731143, 31533926, 106021507, 93898343, 77279722, 103195887, 13721683, 142519476, 191715359, 17823443, 20672213, 236040375, 272300908, 6464083, 35781802, 61202779, 33765669, 146942037, 61077805 ], [ 250962065, 97085922, 40672129, 3506611, 133666480, 38081745, 121594846, 167290613, 154133383, 85655049, 119367130, 61471504, 71615469, 190290853, 148435811, 34146926, 16975223, 68595846, 254168954, 138673085, 69861726, 46042705, 52292132, 108810584, 15072477, 78035822, 17558543, 312139293, 60254139, 21147669, 100364777, 11712567, 13907137, 96453373, 9919743, 9281703, 19940699, 78120870, 26662702, 36700884, 78657447, 39668587, 67430825, 124972417, 125167927, 10151165, 291112571, 85112274, 68677309, 85786520, 26014536, 10030682, 190065539, 49755262, 98129014, 86751626, 31986973, 36590580, 14648640, 9856796, 256620419, 2638464, 166247101, 18284381, 120964257, 21279826, 35199489, 36830017, 535701918, 11128502, 25442582, 60760603, 104330210, 65310280, 105449809, 57292505, 75252481, 22464142, 2932783, 26225179, 160852422, 157641892, 113438556, 140116245, 115973595, 23974405, 50155866, 22229852, 35901352, 102795941, 191962791, 7492623, 23401976, 19222845, 21563954, 6854191, 44055985, 20716534, 7668794, 13243310, 1127885, 326363235, 22173503, 235540135, 157190969, 72541170, 100143768, 55492560, 35164341, 63829230, 31533926, 152283894, 34900327, 54630613, 280517125, 77874438, 14187457, 41310164, 76497631, 56287709, 7805551, 25533915, 9396250, 2907183, 221778369, 144915952, 107791753, 158189237 ], [ 68798220, 46083030, 25644859, 43382058, 102434796, 76289522, 121594846, 23676124, 47429823, 98106355, 71740727, 55136879, 22757081, 57735337, 57273016, 93089340, 21521887, 10053466, 6662784, 15944333, 116079608, 84550086, 45676187, 34088334, 161892015, 47168326, 28111014, 4399098, 54966308, 17592552, 177494748, 61089924, 1349237, 19490018, 9919743, 22598478, 85660278, 4258323, 12969820, 54081881, 73803593, 49255084, 31721608, 33055601, 141293504, 104464049, 46963576, 67015386, 111660739, 88437415, 22717297, 87331021, 47693624, 28863318, 44158768, 32932226, 31986973, 71019915, 14648640, 120820717, 19583358, 2638464, 76224024, 18284381, 14845455, 185257282, 6996498, 3933339, 29539874, 7789227, 21777083, 184024061, 111539325, 12467909, 20588532, 3347983, 64072588, 15843509, 24397799, 2608190, 56454059, 26643851, 12545425, 56684167, 29354841, 20443760, 102588753, 34969278, 38819089, 73828439, 28854300, 5193768, 102300930, 19222845, 214952038, 44916132, 58884049, 43573138, 8006431, 13243310, 49450810, 79870237, 64410245, 114835017, 5910747, 45189268, 10328263, 63845085, 12933874, 48503409, 8198026, 27382384, 3661923, 54630613, 7278096, 12028570, 2226425, 135279616, 5759422, 51565532, 77117349, 56826981, 6464083, 75815911, 37146098, 18846182, 122819187, 49984744 ], [ 84693517, 46083030, 76158013, 71371754, 74425709, 7829423, 11334436, 24251783, 10548367, 98106355, 26576856, 27652168, 8799657, 75666424, 18039153, 95091681, 35635354, 10053466, 111266079, 38871020, 29984501, 46042705, 54507159, 2408772, 15072477, 46559750, 84692831, 4399098, 4139590, 6555506, 90105736, 24392808, 87807647, 19490018, 9919743, 22598478, 85660278, 78120870, 84598180, 78184803, 6395092, 21288678, 98787651, 24447404, 16098391, 52150253, 46963576, 17972909, 42823446, 96180004, 26014536, 49879318, 5892332, 67955405, 26888288, 6693316, 114342682, 7865970, 6884683, 52082945, 66163271, 2638464, 33395442, 6380444, 70686643, 23458859, 102811421, 71913506, 26803841, 7789227, 40120666, 6038789, 1721996, 12467909, 1624088, 2550456, 37518270, 49961256, 59186433, 1081391, 207442735, 30477930, 24766906, 99854249, 289758, 23136344, 19146395, 17886258, 52984891, 73828439, 18104804, 7492623, 18179967, 16190827, 107462023, 75897377, 64182862, 43573138, 3814559, 32328827, 37460249, 9498304, 37542637, 128534004, 33790723, 4696912, 2476592, 43313435, 33050057, 60767190, 19902972, 4120901, 1250663, 142761435, 39972636, 37495361, 2396252, 9219250, 18050038, 51565532, 22477682, 23369490, 6464083, 35359440, 2744009, 4957152, 23279090, 66069458 ], [ 24568957, 22529708, 5506751, 16277519, 17166712, 7829423, 99240994, 57378568, 26944537, 43240855, 46597831, 69354034, 22264897, 42634458, 111838812, 95091681, 6747600, 148363555, 21177271, 128972561, 68614729, 143310748, 54507159, 27836708, 15072477, 12564057, 127980635, 26532985, 85673659, 21147669, 90105736, 56628506, 60899729, 19490018, 9919743, 54846334, 30584367, 78120870, 14588219, 132617706, 9727536, 124550739, 98787651, 124972417, 88335581, 9901299, 8870436, 5528881, 88200748, 75118583, 26014536, 10030682, 69278559, 10351072, 85837064, 29246001, 179471924, 127263390, 14648640, 176164986, 157537589, 1430419, 110595106, 18284381, 222351431, 152204219, 35199489, 3498867, 50687245, 11128502, 81048222, 179523247, 7688664, 12467909, 83827466, 76258876, 13961550, 36564773, 95255415, 26225179, 54823517, 26643851, 1952855, 52441755, 42240478, 23974405, 103652434, 31413257, 32490562, 73828439, 9246966, 7492623, 5254980, 6493763, 53228453, 5232805, 20086286, 6823891, 114793140, 13243310, 129171126, 115572785, 64410245, 33373381, 165357810, 58271000, 47583747, 7617984, 12933874, 48503409, 8198026, 152283894, 33821286, 54630613, 147960391, 17009030, 14187457, 150798474, 28110601, 94962878, 51613150, 54314133, 6464083, 33561096, 96393931, 49757387, 13486249, 19126206 ], [ 19340756, 25627318, 9024081, 50682523, 64758309, 7829423, 13110491, 10728620, 16684911, 15903875, 42522121, 7287072, 7434452, 75666424, 31725910, 26238577, 35635354, 6205317, 5312691, 21811876, 33787057, 30895666, 54507159, 34088334, 23371248, 46559750, 49802944, 82582567, 4139590, 9811063, 8702104, 38606700, 44382301, 19490018, 9919743, 22598478, 59625208, 57957112, 9985536, 10359410, 22800162, 74514401, 98787651, 14539178, 210379947, 8738751, 22487531, 143770491, 65061345, 18612783, 26014536, 36602426, 6903960, 11660676, 19360243, 13802806, 179471924, 6044690, 14648640, 35222336, 13476920, 134600227, 13545691, 23556993, 28099212, 4770883, 10076911, 59442247, 94420609, 116942497, 19094705, 22207588, 26179740, 12467909, 177618837, 116247650, 3694189, 60945208, 80840877, 19249411, 76332171, 28654178, 24766906, 73441397, 12184028, 23136344, 107412209, 71012109, 18600672, 73828439, 28854300, 7492623, 23477948, 298521, 20286424, 5229812, 26063013, 43573138, 137434668, 9350717, 33231836, 22447868, 51029709, 125340561, 121112652, 42055225, 30097089, 18029310, 11775402, 14973403, 13994880, 32394506, 3314149, 33152929, 12780855, 12788432, 14187457, 9219250, 19888394, 22643413, 43942944, 67476139, 6464083, 5804930, 55076093, 83112910, 54663602, 59881781 ], [ 20266926, 52634355, 67931810, 76633906, 34121180, 7829423, 81223123, 237842274, 14902236, 169803165, 42493755, 17470031, 3373001, 177384777, 37793319, 71167525, 35635354, 11429713, 5046864, 70967773, 29336905, 32090228, 48133062, 34088334, 258756271, 15344011, 2806988, 21223513, 49492879, 21147669, 8702104, 132034122, 63338930, 91141172, 9919743, 31685849, 21408795, 17242695, 30151807, 88646365, 35609623, 19494935, 4870208, 84396464, 134446082, 127622838, 21595824, 6460666, 67654766, 75632376, 26014536, 10824101, 51243350, 37635859, 74241463, 61359862, 48212736, 64185138, 11163758, 15659086, 885399, 35626415, 31022711, 114266747, 25872681, 42677988, 9901112, 12512447, 36603489, 11128502, 47738403, 26060552, 77847434, 6787830, 33384915, 116247650, 60974175, 4232416, 106097577, 12573529, 63506446, 19882501, 24766906, 26791723, 9256024, 22740229, 155904509, 81635536, 10640570, 73828439, 89759020, 7492623, 26591430, 19222845, 15727200, 5229812, 33930366, 24276669, 228022515, 108053240, 61104428, 57412857, 16907127, 53814951, 16479757, 36643396, 74355201, 18029310, 35164341, 63673246, 26152720, 32394506, 3314149, 194919342, 19756924, 77874438, 1833592, 9219250, 39902837, 22717768, 93384388, 229862691, 42559600, 5804930, 55076093, 95588817, 73978564, 70664553 ], [ 174162059, 13262061, 32743692, 74511019, 119583545, 29709941, 146052228, 41655514, 47429823, 27453959, 33741451, 74243328, 80184362, 43984272, 180520909, 239229348, 18518610, 127369020, 183419615, 91072366, 131895950, 78296034, 54507159, 34088334, 8151623, 44920942, 80803515, 101308589, 4139590, 9811063, 92691441, 30479417, 6963277, 19490018, 29515582, 19378451, 48222143, 63631160, 240537181, 74721729, 85422202, 222312816, 87086396, 30558834, 157098493, 116921833, 8899107, 33027000, 65061345, 52133795, 26014536, 86665551, 12789386, 211551143, 17366602, 1412609, 62931609, 57345974, 135362418, 21392781, 22719135, 46481541, 166247101, 94770866, 133278352, 30208367, 50101461, 111013474, 30774527, 11128502, 50280157, 57092899, 26179740, 12467909, 137897006, 144098951, 102379820, 62078491, 145075117, 19249411, 76332171, 46179394, 24766906, 54954073, 132605470, 23136344, 8917771, 65261005, 74453127, 73828439, 7903880, 111189154, 47854487, 19222845, 19873595, 5229812, 22300600, 21423627, 106221674, 63975941, 204360838, 18668538, 52718830, 31805790, 165357810, 67723193, 6016972, 155126712, 35164341, 57628305, 11402965, 88436661, 34900327, 4491017, 54283146, 36031943, 123359600, 84967719, 24346444, 5215278, 146416411, 80113699, 919956, 39724630, 12114064, 48266647, 54663602, 158189237 ], [ 31429602, 14156052, 9024081, 160031277, 33277103, 22989837, 60053269, 10728620, 11338106, 16677736, 77886484, 6951828, 45110786, 23609508, 57273016, 4605955, 35635354, 59611028, 42310155, 95838934, 29984501, 30895666, 34550240, 34088334, 23371248, 43176167, 4766895, 46274253, 4139590, 9811063, 8702104, 9752379, 21438948, 40032663, 9919743, 591450, 28206469, 2771111, 23580742, 10359410, 11142073, 19494935, 49905013, 2489092, 39853586, 8738751, 3193069, 145062040, 22152585, 18612783, 26014536, 86665551, 39673329, 25942453, 19360243, 10654555, 22877542, 6044690, 66967279, 35222336, 2470016, 46881006, 33395442, 11128836, 745699, 7848254, 28258023, 6998335, 108343137, 11128502, 58012764, 36746352, 2585693, 60270550, 98752482, 8491764, 15179998, 144514559, 169109617, 1081391, 5989126, 121529825, 24766906, 23507974, 75852891, 23136344, 9650165, 84601926, 18600672, 73828439, 68035297, 7492623, 8702321, 19222845, 69290289, 5229812, 47946239, 15323433, 61738332, 9350717, 33231836, 9498304, 22173503, 2462455, 9595164, 4696912, 6016972, 18029310, 11775402, 3761482, 26152720, 18245555, 3314149, 16474561, 14634462, 8794428, 76062310, 9219250, 24346444, 22717768, 7805551, 67476139, 15840429, 5804930, 24638621, 41984020, 54663602, 8385885 ], [ 135551061, 97085922, 32743692, 74511019, 136245013, 7829423, 139422025, 53339978, 90495852, 15903875, 77886484, 4136495, 71615469, 106677965, 36634874, 93089340, 4945374, 115646117, 7011872, 138673085, 90803632, 30895666, 54507159, 26465199, 8151623, 4398115, 16674892, 101308589, 26829314, 21147669, 8702104, 48525486, 126328860, 19490018, 9919743, 107832548, 63165280, 316463548, 53412317, 10359410, 46518745, 7658704, 87086396, 107106667, 20220556, 6604193, 58397209, 62091666, 118148260, 31194521, 26014536, 87331021, 12789386, 13392175, 17366602, 1412609, 6957928, 57345974, 8534908, 108112636, 231975990, 9671146, 166247101, 48164330, 35286264, 9313340, 107754139, 219627985, 50326426, 11128502, 41503681, 93778652, 39876951, 12467909, 120077096, 64300191, 64031282, 55246268, 95255415, 205453014, 34174321, 100430043, 49857688, 94155543, 71345950, 23136344, 42278587, 78160602, 18600672, 70429283, 28854300, 7492623, 159982290, 19222845, 60854711, 5229812, 296688, 43573138, 96891971, 107343912, 37344077, 128389885, 64410245, 2842731, 90687665, 90867336, 6016972, 145603465, 27759761, 25943146, 31533926, 32394506, 108892514, 29090497, 105695463, 49875683, 14187457, 88947068, 11922186, 10524672, 108504473, 7589692, 6464083, 5804930, 55076093, 4623602, 305217888, 35772956 ], [ 1557585, 34383241, 32743692, 7176448, 33277103, 7829423, 11108293, 38910423, 11568794, 85655049, 22907577, 6326504, 7434452, 46120302, 59689519, 4605955, 18518610, 6205317, 42310155, 95838934, 143847046, 32090228, 52292132, 34088334, 8151623, 3571107, 16674892, 46274253, 4139590, 21147669, 8702104, 103189965, 90412997, 18301682, 9919743, 65515093, 21408795, 57957112, 2250019, 36700884, 10669274, 19494935, 77608895, 6750336, 1994469, 10151165, 37519179, 5528881, 4656625, 34001117, 1627782, 36602426, 12463154, 4975745, 62917277, 34775875, 1335632, 7865970, 14648640, 37539156, 10098227, 49707186, 60638287, 48164330, 25319820, 4770883, 10076911, 20876282, 6005507, 61253435, 1316220, 39351485, 47015888, 60270550, 78330275, 28364330, 19870242, 24418883, 44841138, 11717066, 41445570, 48776772, 36793278, 111862759, 26850711, 23136344, 10507884, 12331265, 18600672, 25591598, 1357031, 7492623, 8702321, 7135935, 43799801, 5229812, 33930366, 15323433, 61738332, 22205311, 5196092, 57308569, 22173503, 28666453, 16479757, 54920280, 6016972, 1636840, 11775402, 63829230, 19327882, 32394506, 3314149, 57123207, 24474199, 12788432, 14187457, 33387298, 39902837, 11520981, 7805551, 58363570, 15840429, 5804930, 26256355, 31731071, 54663602, 20795764 ], [ 134930484, 97085922, 32743692, 51594079, 3857650, 88259316, 69487395, 10728620, 110370818, 180100603, 77886484, 343617, 20820311, 231658885, 57273016, 12983464, 18518610, 28284355, 42310155, 122040695, 50850090, 212107351, 33078153, 64868275, 8151623, 8027621, 70439458, 46274253, 14322792, 21147669, 8702104, 4810979, 33744510, 18301682, 9919743, 100200947, 21408795, 57957112, 23580742, 26173444, 11142073, 74514401, 5403274, 41882169, 2227747, 10151165, 3890878, 14765585, 67654766, 18612783, 252946215, 10030682, 1400950, 28863318, 98129014, 16027700, 51457282, 57345974, 14648640, 21961311, 121414083, 129443290, 80522060, 48164330, 77097147, 171906166, 110304335, 20876282, 50326426, 11128502, 47738403, 39730597, 137409740, 272079305, 29459730, 26211148, 39663821, 153382927, 24397799, 129342306, 98030207, 19213264, 77327499, 45077948, 100114781, 23974405, 17653115, 84534261, 8138892, 73828439, 41389283, 7492623, 23401976, 19222845, 25784813, 5229812, 29930575, 26937902, 13641313, 52107103, 1013944, 79870237, 16907127, 66320575, 16479757, 139793174, 6016972, 134272180, 11775402, 94194490, 43644912, 32394506, 8347748, 194919342, 19756924, 39045648, 14187457, 289096775, 39902837, 34438843, 7805551, 67476139, 85358323, 5804930, 55076093, 428760015, 39011870, 87851023 ], [ 135337146, 25627318, 32743692, 10210634, 33277103, 38081745, 29738778, 4874288, 31816588, 22783534, 77886484, 7287072, 7434452, 24910292, 138006616, 15234823, 35635354, 4961308, 51287163, 238404249, 29984501, 77924414, 54507159, 55455795, 32404941, 82412900, 16674892, 37859035, 4139590, 21147669, 8702104, 125103410, 33744510, 61066514, 25207269, 15047172, 71870895, 37857414, 54258616, 26173444, 68285636, 180740535, 114412716, 53333722, 6999984, 3379781, 74965175, 142902414, 27658597, 27450894, 158422726, 39667513, 6452645, 4410400, 6319445, 13555269, 64651794, 19318089, 68601867, 108112636, 10600642, 35379752, 33395442, 4081438, 34247476, 73314528, 6398732, 3934247, 6005507, 3774376, 19094705, 9282362, 65771, 11856924, 105449809, 43492965, 144318495, 202631562, 44841138, 19249411, 41445570, 19213264, 40525522, 104652470, 58641754, 157448572, 13732195, 143590005, 18600672, 54162744, 123506080, 88128509, 8702321, 19222845, 25784813, 92753429, 29930575, 15323433, 13641313, 63858491, 104267356, 36104330, 11606056, 20681067, 3452385, 10148911, 6016972, 18248832, 35164341, 63829230, 111978330, 18245555, 34900327, 75222315, 54283146, 12788432, 69217865, 38216969, 92611055, 9565580, 7805551, 55713903, 48791520, 3053059, 55076093, 144915952, 20784567, 48756787 ], [ 25459491, 2248874, 32743692, 53684186, 33277103, 7829423, 6988202, 10728620, 47429823, 6475993, 16654773, 53259849, 36234584, 43180192, 15207875, 41574475, 18518610, 68281884, 93732676, 138673085, 115275161, 418179, 226998, 1938820, 8151623, 31422996, 1271261, 46274253, 36979083, 9811063, 8702104, 30479417, 33744510, 16412412, 7461596, 41163899, 47044212, 142357519, 23580742, 19506752, 37816317, 19494935, 731027, 744442, 3168497, 57930801, 8899107, 23554704, 56306029, 115084151, 26014536, 38642219, 6903960, 55838582, 23663798, 13802806, 30644325, 54974157, 4802336, 4953182, 22719135, 23452928, 6864181, 15008321, 4568015, 23458859, 77986125, 20876282, 17521143, 11128502, 6758391, 161963113, 26179740, 6787830, 122854835, 39419711, 687837, 133585203, 68517210, 26225179, 48829120, 19213264, 24766906, 45077948, 70291863, 57307319, 32312309, 32365693, 18600672, 73828439, 28854300, 58018990, 8702321, 19222845, 25784813, 5229812, 47946239, 15323433, 67720895, 19109869, 61104428, 15181059, 12046729, 124060595, 28646826, 10148911, 6016972, 43313435, 35164341, 92632129, 94127146, 1262044, 34900327, 92350519, 12780855, 64493318, 22628002, 9219250, 17470067, 22717768, 108549285, 37227739, 6464083, 5804930, 55076093, 58947760, 33560528, 53967963 ], [ 14107149, 97085922, 32743692, 53684186, 125013236, 7829423, 28045903, 3064932, 31816588, 57359663, 98770052, 7556272, 36234584, 30073193, 22090208, 127406295, 35635354, 4961308, 51287163, 131129715, 29984501, 63546489, 45201766, 9848620, 47527318, 47168326, 70439458, 31043805, 4139590, 21147669, 2624770, 43744757, 7078345, 85140034, 184101956, 6401481, 4289144, 12448949, 44363295, 64448995, 89106854, 124550739, 49905013, 73242172, 24402478, 10151165, 46963576, 100487077, 67654766, 7525417, 26014536, 87331021, 51243350, 41714603, 74241463, 13555269, 64651794, 66324518, 321647, 279690392, 255614053, 31969974, 33395442, 32320663, 77097147, 25610046, 6398732, 12512447, 21940924, 11128502, 124762920, 94492558, 65771, 11856924, 21396179, 2188794, 106951884, 70180680, 19353368, 19249411, 108462066, 19882501, 24766906, 45077948, 26850711, 23136344, 71250027, 109291998, 9807810, 73828439, 105392829, 365274, 23401976, 19222845, 15727200, 5232805, 29930575, 43573138, 96330681, 68055126, 33231836, 32899013, 22173503, 63089409, 114319271, 4327419, 2331077, 21571738, 32211393, 27641439, 13994880, 75701222, 35890400, 40931007, 44866305, 64706019, 14187457, 9219250, 54561493, 34438843, 7805551, 67476139, 36401213, 62431621, 26256355, 98636835, 25962945, 107702292 ], [ 77924765, 97085922, 31671979, 157120283, 136245013, 30944839, 81223123, 618812, 55993682, 379728450, 37081856, 5722016, 36234584, 563121148, 110703301, 59170089, 21648735, 148363555, 40700961, 131129715, 29984501, 30895666, 54507159, 34088334, 194204196, 200747968, 49923318, 31043805, 4139590, 306351535, 8702104, 70712698, 48972463, 19490018, 9919743, 57662041, 163876347, 12448949, 58347541, 10359410, 183119693, 124550739, 98787651, 124972417, 20220556, 12150853, 22487531, 100487077, 84387194, 18612783, 26014536, 38680821, 39673329, 92446201, 98129014, 28456575, 75770217, 164215030, 2633345, 89174786, 43117440, 163526627, 33395442, 68155298, 77097147, 25610046, 195796736, 12512447, 94420609, 11128502, 18298946, 107498003, 104330210, 6787830, 33384915, 49670432, 419599920, 266212976, 85213851, 19249411, 14601617, 83194176, 103800004, 14250187, 4335320, 23136344, 547532477, 65859679, 18600672, 29918338, 28854300, 7492623, 33788022, 3492989, 15727200, 5229812, 43910717, 31740198, 192694605, 327170663, 33231836, 125516027, 64410245, 142299903, 114672808, 60881301, 77257505, 21571738, 32211393, 61382297, 7723792, 32394506, 26425440, 194919342, 138845373, 77874438, 123359600, 9219250, 39902837, 34438843, 67511127, 185965198, 6464083, 4241466, 55076093, 298087002, 54663602, 158189237 ], [ 35045781, 13262061, 32743692, 27899268, 136245013, 7829423, 81223123, 10728620, 31816588, 342078533, 16654773, 56407740, 87128088, 75666424, 57273016, 69497626, 35635354, 148363555, 166849125, 21794351, 29984501, 80782010, 54507159, 34088334, 32404941, 47168326, 58205030, 205537838, 4139590, 9811063, 8702104, 9423297, 33744510, 86439671, 184101956, 22598478, 140274632, 75643921, 12969820, 68230324, 78523311, 74514401, 5403274, 101311967, 36597070, 11684360, 46963576, 33027000, 236871568, 52133795, 26014536, 87331021, 1400950, 67955405, 23663798, 10654555, 64651794, 35165228, 11163758, 82513676, 35213388, 98830072, 33395442, 10703012, 77097147, 62052491, 262431934, 71913506, 105462928, 11128502, 94932526, 6038789, 26179740, 60270550, 137897006, 116247650, 142157452, 62078491, 43615876, 19249411, 67199024, 19213264, 24766906, 99854249, 61016156, 23136344, 53873620, 143590005, 18600672, 73828439, 119485024, 203950017, 47854487, 24333383, 25784813, 5229812, 29930575, 35707345, 97770868, 139996173, 34465906, 22447868, 12046729, 13516890, 108013928, 10148911, 1030147, 3824292, 35164341, 8666579, 52345798, 32394506, 79920231, 194734734, 12780855, 77874438, 123359600, 40852146, 24346444, 22717768, 78053197, 67476139, 17832662, 5804930, 55076093, 113178185, 54663602, 120635486 ], [ 108766909, 92011327, 87352526, 311917730, 136245013, 83086094, 156001637, 24077093, 10369549, 314453549, 77886484, 17470031, 24230373, 307610120, 50053741, 39070086, 119602326, 69607594, 12913358, 30672394, 274219147, 128028665, 48133062, 34088334, 162533940, 15587989, 102677746, 75995835, 4139590, 21147669, 8702104, 31347273, 130629805, 232435781, 71886885, 107832548, 11146641, 490053381, 240537181, 98233767, 85422202, 47556404, 104759676, 124972417, 62993873, 172153402, 287485183, 145062040, 45200470, 147982748, 57009711, 86665551, 78451727, 41555435, 17366602, 346852940, 179471924, 31652177, 14648640, 247746441, 258467985, 31524883, 104829174, 48164330, 113507562, 63855500, 9901112, 202154641, 17798266, 11128502, 22704879, 148214483, 43998752, 60270550, 33896189, 242741372, 25025072, 90102240, 95255415, 19249411, 76332171, 10158467, 21749491, 26791723, 48897944, 23136344, 134580896, 38692286, 18600672, 73828439, 120813096, 169612771, 289513648, 19222845, 3592084, 5229812, 44055985, 43573138, 16535636, 72167454, 214604120, 79870237, 64410245, 88710090, 165357810, 55561993, 57403827, 133341391, 7958284, 94194490, 39076767, 32394506, 135784036, 194919342, 54283146, 77874438, 14187457, 240264722, 36100775, 83135938, 211803585, 54117753, 17832662, 5804930, 37157526, 129588678, 28762209, 33586162 ], [ 63235793, 79232231, 113505080, 3437469, 115659982, 201882241, 109758099, 54944120, 111656590, 14650532, 3134393, 17470031, 24230373, 41883555, 49382248, 57887545, 35635354, 58008113, 2576077, 39819910, 274219147, 42990691, 54507159, 91592187, 21710163, 114362997, 6959641, 83863624, 4139590, 98455822, 8702104, 163368794, 56605616, 84314686, 103172688, 100200947, 11146641, 68112369, 86884185, 90602582, 14710611, 149196458, 175215195, 257884926, 43308190, 181581527, 104014806, 212338930, 211461577, 184626070, 26014536, 11815105, 153363750, 77432546, 104505121, 24879406, 179471924, 64185138, 14648640, 34069127, 37002670, 48287149, 38504136, 29645828, 72999968, 23458859, 9518764, 45165563, 315344020, 80938468, 13412774, 64570389, 81767180, 60270550, 382582400, 169159421, 60974175, 83060934, 5206846, 1081391, 270927204, 60270032, 44814065, 170733355, 36103838, 23974405, 192082432, 134674203, 18600672, 73828439, 27309480, 173718580, 26591430, 19222845, 149063548, 5229812, 33689536, 33673721, 230720224, 25001408, 248177336, 9498304, 138163024, 42464866, 50336813, 4327419, 358266189, 55115842, 229540550, 94194490, 1949924, 32394506, 82441318, 75181303, 15882741, 77874438, 14187457, 107331995, 39902837, 83135938, 103526719, 67476139, 59304452, 5804930, 55076093, 24738612, 54663602, 28598678 ], [ 14107149, 97085922, 32743692, 7337099, 2820530, 7829423, 9546680, 3064932, 31816588, 27453959, 20364062, 7287072, 7434452, 42278554, 63829049, 26238577, 18518610, 30847397, 8188523, 16546424, 29984501, 73774743, 45201766, 34088334, 5268798, 43176167, 80803515, 27441290, 998259, 21147669, 8702104, 93837343, 13192576, 99114844, 57270658, 41163899, 4289144, 88427717, 39213500, 5025457, 85422202, 124550739, 33311376, 107106667, 7394802, 8738751, 17429274, 100487077, 67654766, 31107945, 19779246, 78383290, 4386949, 45244718, 17366602, 34775875, 64651794, 57345974, 11163758, 24170497, 61606123, 35379752, 33395442, 36769191, 45707552, 37483929, 10076911, 20876282, 50326426, 11128502, 19094705, 39351485, 2585693, 11856924, 20588532, 2188794, 129486433, 31134821, 29617518, 19249411, 68507295, 10158467, 40525522, 33481450, 67220190, 23136344, 8917771, 65859679, 18600672, 32243917, 66673514, 91076460, 23401976, 19222845, 9243788, 5229812, 9904138, 43573138, 82813620, 27182684, 44108163, 36104330, 22173503, 90676815, 41675183, 77292357, 4744272, 8653599, 35164341, 10655704, 13994880, 18245555, 61107429, 60938067, 240354627, 37966319, 14187457, 33387298, 17555255, 34438843, 7805551, 67476139, 42882095, 5804930, 55076093, 39449194, 54663602, 67567281 ], [ 14107149, 73957937, 32743692, 17669358, 70980347, 7829423, 46514936, 3064932, 47429823, 57359663, 16654773, 6234330, 45110786, 117679936, 57273016, 15234823, 7619152, 148363555, 23585327, 67435443, 1549220, 17955149, 54507159, 23544186, 8151623, 47168326, 13003503, 37859035, 36979083, 9811063, 2273841, 48525486, 73482447, 19490018, 9919743, 107832548, 4289144, 227919788, 2250019, 181409954, 10669274, 39668587, 32841692, 107106667, 233310978, 5564078, 22487531, 28538266, 181711188, 18612783, 26014536, 39902786, 6903960, 28863318, 74241463, 13802806, 62931609, 43035507, 14648640, 31837165, 243009117, 35379752, 11447161, 48164330, 758187, 23458859, 109768488, 20876282, 15673008, 11128502, 47738403, 54768859, 26179740, 11856924, 116726336, 2188794, 48982349, 24418883, 24397799, 26225179, 76332171, 48776772, 24766906, 93680837, 8841244, 23136344, 32312309, 22901743, 18600672, 73828439, 1357031, 7492623, 77572742, 19222845, 24516914, 5229812, 18601785, 43573138, 96330681, 32328827, 33231836, 15181059, 20159442, 120701790, 69382357, 150049881, 6016972, 56523461, 26093144, 94194490, 26595740, 32394506, 34900327, 146385614, 12780855, 13721683, 14187457, 5217714, 24346444, 31463377, 129633047, 37227739, 6464083, 5804930, 55076093, 90904020, 13486249, 82023210 ], [ 254535102, 402268846, 3204255, 285244772, 70390093, 7829423, 81223123, 281574122, 47429823, 592449154, 11836062, 55136879, 71615469, 61896739, 57273016, 242880318, 35635354, 148363555, 29159332, 138673085, 29984501, 63913666, 49929162, 34088334, 71670348, 47168326, 80803515, 39720231, 4139590, 21147669, 182484876, 247786119, 39142235, 57775128, 9919743, 79117165, 1758128, 80164595, 17640610, 194479144, 85422202, 10259202, 49905013, 124972417, 91330508, 181581527, 33937425, 98960917, 170344726, 31107945, 26014536, 195707583, 4386949, 67955405, 2219404, 235517138, 64651794, 71019915, 167823632, 78745095, 229137598, 96510512, 33395442, 6921616, 8952830, 96514009, 107754139, 363533122, 136008579, 11128502, 124762920, 115550342, 318115538, 60270550, 12105143, 116247650, 127136609, 55443165, 141358747, 19249411, 67281933, 19882501, 24766906, 21965173, 70291863, 23136344, 117120072, 143590005, 385435547, 45315856, 152840646, 7492623, 191273026, 7661843, 97838497, 5229812, 49803073, 43573138, 8006431, 313584214, 156622523, 79870237, 53806064, 26901589, 135747868, 150049881, 6016972, 58078578, 35164341, 63829230, 148806342, 152283894, 59735013, 136475233, 49664995, 77874438, 114781774, 40852146, 19888394, 7574241, 43942944, 67476139, 82627888, 3053059, 89621460, 15123677, 37911299, 158189237 ], [ 25685046, 97085922, 32743692, 5231707, 9942978, 126426122, 132516232, 10728620, 19470338, 196129362, 6349863, 62195346, 3373001, 92341083, 63829049, 42479857, 18518610, 30524710, 29159332, 42877873, 45517133, 117707557, 54507159, 5971639, 8151623, 47168326, 7868675, 31043805, 4139590, 21147669, 26467198, 9752379, 130629805, 99168972, 25861083, 68809828, 28206469, 39566957, 9985536, 75831058, 21867373, 9182292, 12920141, 22429466, 75406942, 12349849, 46963576, 133094333, 57139815, 56346379, 26014536, 7980156, 6903960, 28863318, 74241463, 86751626, 37249196, 6044690, 67613709, 17090967, 17265549, 764685, 19595386, 15008321, 28367226, 4770883, 73250709, 79939435, 17838234, 11128502, 47738403, 178537767, 79314695, 60270550, 29459730, 94579031, 112564082, 156856293, 24397799, 19249411, 35219218, 6306853, 24766906, 77393804, 39615964, 155174923, 83022485, 65754035, 87350773, 73828439, 60048630, 74765455, 8702321, 19222845, 62289908, 247914178, 35003869, 14280183, 107212732, 12353703, 187128835, 79870237, 64410245, 179441183, 72897046, 136739244, 6016972, 63785001, 12933874, 66743373, 31533926, 244685999, 17980645, 35539146, 12780855, 66281689, 142519476, 5924542, 28110601, 7574241, 47528981, 67476139, 42882095, 39389127, 12114064, 72724469, 54663602, 123467991 ], [ 6925873, 101192525, 68189286, 3437469, 115659982, 168197060, 109758099, 54944120, 111656590, 300846091, 33741451, 17470031, 24230373, 39175709, 100320827, 239229348, 35635354, 321547192, 34562533, 39819910, 33094361, 159760676, 54507159, 117605892, 101437440, 31664441, 30126758, 46274253, 85673659, 147417639, 8702104, 166539909, 41480899, 108616651, 178318703, 100200947, 11146641, 91320534, 86884185, 90602582, 97275474, 115658817, 268522373, 328387267, 61379940, 181581527, 63910709, 11190101, 31732514, 212809955, 99734503, 72247099, 54302250, 232049300, 226631254, 24879406, 20205071, 20700434, 14648640, 82513676, 77357349, 134825481, 164243119, 23951579, 25872681, 61600159, 9518764, 20876282, 36603489, 123968213, 47738403, 104722467, 81767180, 92646941, 255758371, 86624094, 60974175, 4232416, 95255415, 1081391, 271945252, 60270032, 51414657, 170733355, 36103838, 23974405, 133441615, 134674203, 18600672, 40616298, 151293535, 356432372, 26591430, 19222845, 62289908, 44916132, 150493871, 3240417, 155831722, 139996173, 60218234, 181038, 46124803, 88710090, 165357810, 4327419, 26186589, 145603465, 35164341, 34263153, 31216632, 32394506, 103804387, 99858269, 24729259, 76708615, 14187457, 52577251, 65373577, 8232945, 73486107, 67476139, 59304452, 5804930, 55076093, 2330188, 10803804, 120635486 ], [ 26167352, 97085922, 21173329, 43382058, 136245013, 7829423, 69487395, 23676124, 298057386, 167131437, 77886484, 47126856, 71615469, 57735337, 379189703, 97040366, 35635354, 30847397, 212393974, 16546424, 29984501, 32090228, 54507159, 34088334, 136407034, 142659238, 53767925, 35639931, 14322792, 9811063, 8702104, 48525486, 47875598, 359087887, 9919743, 146638087, 56163086, 94696810, 1307364, 68230324, 154258459, 124550739, 11202546, 124972417, 157947925, 159538813, 22487531, 19978344, 216350281, 18469628, 26014536, 56600861, 8988401, 129483384, 98129014, 13802806, 38742895, 6044690, 14648640, 74600384, 177705708, 42045524, 31022711, 48164330, 17242752, 87277867, 131606927, 126646378, 172050652, 11128502, 47738403, 125672065, 16268261, 67507534, 274679480, 116247650, 312703996, 698634757, 95255415, 140724751, 14601617, 19882501, 14834384, 163427705, 70291863, 23136344, 143989921, 81635536, 18600672, 73828439, 94868360, 7492623, 82716240, 19222845, 62289908, 176584161, 229946323, 43573138, 272014843, 68055126, 207472463, 22447868, 64410245, 132992065, 69382357, 143034077, 6016972, 18029310, 26093144, 105151201, 26152720, 32394506, 3314149, 259420844, 70437105, 12788432, 14187457, 3660070, 19888394, 34438843, 38471744, 183431080, 82748476, 5804930, 11770568, 1832243, 13486249, 158189237 ], [ 14107149, 79843101, 32743692, 53684186, 136245013, 7829423, 81223123, 3064932, 44140979, 51282922, 77886484, 74243328, 36234584, 61896739, 63829049, 13561751, 21648735, 11429713, 51287163, 2379434, 29984501, 162422525, 54507159, 30621158, 96418775, 3571107, 80803515, 46274253, 4139590, 9811063, 8702104, 17844472, 130629805, 91141172, 126871329, 36362030, 4289144, 42117176, 44363295, 68230324, 35609623, 55587241, 141561598, 124972417, 24402478, 12150853, 35252145, 6460666, 67654766, 18469628, 26014536, 87331021, 161036725, 63270843, 82846431, 13802806, 64651794, 195371164, 14648640, 74600384, 64474081, 11786542, 33395442, 6921616, 9907123, 8767110, 57673774, 20876282, 97703780, 11128502, 127216809, 93445994, 26179740, 11856924, 7495322, 2188794, 200155884, 90102240, 1864216, 19249411, 143419997, 23570206, 4921097, 168207658, 122872025, 23136344, 136229820, 21325421, 18600672, 73828439, 119485024, 141747824, 78426205, 19222845, 20286424, 5229812, 29930575, 43573138, 39579583, 68055126, 269178695, 181038, 26338059, 40695731, 50193923, 36643396, 6016972, 18248832, 26093144, 94194490, 13994880, 32394506, 82675553, 16474561, 88138403, 2138343, 14187457, 40859971, 24346444, 22717768, 73283678, 63339542, 85358323, 5804930, 55076093, 65192261, 13486249, 20795764 ], [ 14107149, 42944043, 21173329, 5518902, 55571884, 4580769, 46514936, 230690594, 11568794, 51282922, 151853792, 74243328, 56211229, 177246875, 84375885, 4605955, 35635354, 102060070, 51287163, 131129715, 1549220, 32090228, 54507159, 117605892, 1830157, 47168326, 53767925, 31043805, 4139590, 98455822, 98773150, 9752379, 130629805, 71182025, 9919743, 146057435, 52868871, 117497237, 34223199, 109689335, 56845272, 39668587, 98787651, 124972417, 132657060, 10914927, 46963576, 28538266, 84387194, 20409292, 26014536, 38680821, 8988401, 63270843, 74241463, 28456575, 64651794, 49278154, 11163758, 74600384, 185289642, 48287149, 38504136, 48164330, 59294428, 9567324, 110304335, 20876282, 25329720, 11128502, 47738403, 104722467, 16268261, 23605154, 98752482, 109085950, 110310418, 40748959, 29617518, 19249411, 5989126, 19882501, 14834384, 183263655, 32908317, 23974405, 170647244, 24808146, 21518661, 73828439, 38556749, 7492623, 53375586, 19222845, 15272083, 5232805, 26063013, 43184542, 6461659, 6449527, 157794950, 27575029, 56859134, 55992874, 24043563, 5937249, 6016972, 18029310, 35164341, 145866419, 26152720, 94352821, 3314149, 143204687, 68645588, 13721683, 14187457, 9219250, 248102192, 34438843, 87973016, 19332191, 15840429, 4241466, 85833506, 56817706, 54663602, 123716021 ], [ 6925873, 28345506, 3204255, 137825873, 40924872, 7829423, 69487395, 130453420, 31816588, 49243085, 127200058, 47126856, 71615469, 3456938, 36219512, 9216382, 35635354, 1320109, 68578574, 138673085, 29984501, 32090228, 36882686, 16439853, 21710163, 43176167, 80803515, 46274253, 4139590, 9811063, 17258690, 48525486, 44382301, 40032663, 9919743, 18914570, 42720738, 86465458, 14788780, 9782604, 154258459, 7658704, 5403274, 116766531, 85409986, 10914927, 2142306, 28538266, 14820136, 56346379, 26014536, 4856150, 1400950, 13554292, 19360243, 2284701, 64651794, 195371164, 14648640, 31897130, 17639151, 20574805, 33395442, 23556993, 17242752, 74830968, 90589243, 20876282, 26147840, 11128502, 65080746, 153228347, 26179740, 30813733, 20588532, 116247650, 27684402, 42159915, 69666743, 19249411, 38633454, 4469193, 24766906, 45077948, 7793816, 23974405, 5173307, 34766411, 13962501, 73828439, 66873785, 7492623, 8116193, 19222845, 29116927, 5232805, 2283994, 9359616, 27524355, 16471267, 141799632, 15764238, 46124803, 2842731, 76268170, 10148911, 6016972, 18029310, 35164341, 63829230, 26152720, 79449101, 3314149, 13069568, 54283146, 12788432, 14187457, 135279616, 24346444, 3826193, 43942944, 26914086, 45686865, 3053059, 65604693, 49093025, 37911299, 82023210 ], [ 55107265, 75324996, 32743692, 52262630, 136245013, 48019938, 182108133, 47557698, 47429823, 53988238, 30421189, 11503655, 71615469, 92144005, 1886773, 15735121, 35635354, 105028294, 5312691, 2379434, 121329511, 176407070, 54507159, 34088334, 1830157, 47168326, 1271261, 8874972, 5083551, 21147669, 8702104, 54229354, 66511667, 363023095, 9919743, 107832548, 140274632, 94981046, 58347541, 101321538, 92344462, 10259202, 95919152, 13650248, 24402478, 37046192, 46963576, 5528881, 102949115, 20409292, 155464029, 111923105, 161036725, 135981810, 2219404, 16027700, 64651794, 6044690, 152210620, 16834511, 95453035, 97305873, 148786637, 93764718, 28367226, 83957561, 75047559, 20876282, 45881018, 11128502, 6457005, 104722467, 55054021, 6787830, 22960791, 73953910, 687837, 40748959, 1864216, 32413391, 208530050, 10158467, 24766906, 124953413, 604504, 1789622, 66705807, 21325421, 18600672, 82618993, 150097356, 7492623, 33788022, 19222845, 79091183, 5229812, 29930575, 43573138, 6461659, 290724644, 61104428, 31481391, 26338059, 7408758, 80291893, 42055225, 6016972, 127129742, 35164341, 94194490, 66908106, 5101358, 82675553, 16860491, 54283146, 77874438, 114781774, 364731807, 39902837, 7574241, 69681853, 5521808, 45686865, 3053059, 55076093, 191220803, 37911299, 23606772 ], [ 24568957, 75324996, 12633045, 27543629, 25910147, 6779738, 143294559, 12408166, 163212412, 435742434, 42522121, 218420509, 13688128, 31459060, 140862904, 253440398, 35635354, 44778422, 5312691, 56392526, 100336624, 46042705, 54507159, 34088334, 5268798, 3571107, 80803515, 11335624, 4139590, 21147669, 8702104, 118197882, 33588870, 207103557, 9919743, 271565883, 211182612, 258076873, 163467739, 101321538, 24397237, 39668587, 98787651, 26612374, 34472307, 10151165, 85158669, 145062040, 104166424, 60223950, 26014536, 26190823, 111175371, 28922729, 17366602, 322954800, 64651794, 80871800, 14648640, 77820875, 173949687, 243798155, 38202257, 48164330, 2663878, 99056271, 107754139, 116873020, 163030879, 31468003, 22704879, 154347737, 43998752, 60270550, 105449809, 73953910, 34009585, 71500726, 83558683, 19249411, 84942547, 167155196, 93224471, 170733355, 7835358, 23136344, 119891652, 143590005, 18600672, 32142942, 192070201, 7492623, 23401976, 24333383, 79091183, 136808319, 9904138, 43573138, 110766261, 3962925, 406978438, 127806360, 22173503, 87737529, 12179093, 42055225, 6016972, 316671558, 138571252, 92368885, 291207318, 191725, 1957091, 12874669, 232380574, 77874438, 14187457, 135279616, 20937886, 83135938, 7805551, 98493411, 1622103, 5804930, 11770568, 44785241, 42501099, 20795764 ], [ 63692415, 49123215, 9024081, 91579127, 18044044, 14536966, 82241178, 130453420, 30876745, 23721643, 56884539, 53259849, 37351241, 46120302, 8496465, 46233728, 26474419, 58008113, 25920463, 56392526, 29747708, 46042705, 54507159, 21110622, 31517016, 138361326, 54214717, 72340201, 36979083, 9811063, 14630227, 17945446, 130629805, 52200112, 201541457, 22598478, 102069837, 39448732, 106631536, 194479144, 4234006, 7658704, 17055804, 93323456, 7150152, 9642972, 1050417, 5528881, 12272967, 60223950, 26014536, 10030682, 7510828, 21139736, 115547, 13802806, 87782041, 76086946, 14648640, 47727306, 43117440, 14225109, 21467110, 48164330, 40147456, 42960196, 57995239, 21537701, 58456141, 11128502, 7616470, 41029784, 26179740, 6787830, 105449809, 59228585, 34087761, 92631247, 16528031, 12012436, 10746066, 48006655, 2090709, 63927868, 29354841, 23136344, 6180455, 12331265, 9807810, 29302169, 19960728, 9260727, 23401976, 19222845, 20286424, 73572913, 44055985, 43573138, 61075791, 9350717, 61104428, 22447868, 22173503, 2842731, 2174078, 145957418, 52719948, 58570577, 15623427, 15930319, 8198026, 14097061, 1250663, 6531870, 54283146, 2273975, 14187457, 43742559, 24346444, 11520981, 7805551, 21497216, 148319763, 1264245, 37146098, 1957836, 10781558, 4334444 ], [ 5468845, 97085922, 21464014, 157120283, 32784099, 7829423, 3430408, 35571681, 31816588, 74127723, 41492799, 5722016, 35578353, 72957521, 47919354, 21736456, 35635354, 50208565, 233447030, 23242567, 29984501, 32090228, 49929162, 4431609, 17027986, 72224987, 9823384, 31043805, 4139590, 15175546, 2273841, 9752379, 44382301, 19490018, 4133651, 15893949, 26677396, 59540392, 67520179, 42141410, 109594828, 95130117, 32890320, 77327798, 20220556, 179785710, 169195268, 160414707, 14193971, 18469628, 26014536, 86206333, 96213662, 21778984, 19360243, 34775875, 162803235, 5643070, 66935778, 35222336, 17639151, 35379752, 33395442, 23556993, 61780481, 9567324, 49483502, 313465, 63628992, 11128502, 65080746, 120495860, 2585693, 11856924, 231451721, 116247650, 100297601, 50104803, 145075117, 19249411, 34174321, 17004496, 40525522, 97706088, 228060825, 7244825, 274677486, 15301898, 6355826, 60384687, 28854300, 7492623, 49729829, 19222845, 103334957, 5229812, 18601785, 43573138, 28962659, 68055126, 6496455, 125516027, 53806064, 293679750, 63336951, 136739244, 16100879, 18029310, 18682798, 61382297, 26152720, 18245555, 3314149, 33152929, 114183964, 77874438, 33285880, 9219250, 22244656, 77706648, 87973016, 131457363, 6464083, 39389127, 149975785, 17981361, 54663602, 81159617 ], [ 21192448, 79257412, 91521943, 27543629, 136245013, 7829423, 29017913, 24077093, 11338106, 22783534, 42493755, 54222242, 71615469, 174118816, 47919354, 37663183, 33371299, 4961308, 145452590, 128972561, 126645655, 21587630, 54507159, 34088334, 81716234, 200747968, 233632352, 225380155, 85673659, 21147669, 182484876, 21607252, 66158977, 19490018, 5408496, 105764351, 154444328, 59540392, 84362681, 14017762, 188043164, 83518790, 731027, 14539178, 56922905, 72681927, 22487531, 5528881, 106526601, 85786520, 25639580, 87331021, 6903960, 168794042, 98129014, 344075265, 62931609, 105063003, 11163758, 34069127, 35232758, 97305873, 71745963, 173936168, 4568015, 127449548, 6398732, 59124870, 48083922, 5573391, 58691418, 141633213, 73372820, 12467909, 155837740, 73953910, 149625602, 92990750, 113927333, 176599306, 61577820, 56950452, 93224471, 140116245, 7835358, 23136344, 56803880, 45723755, 48669013, 73828439, 28854300, 7492623, 80374169, 19222845, 26139271, 5229812, 5674697, 43573138, 34881830, 63858491, 100847527, 79870237, 19462969, 6670334, 121112652, 134518649, 74355201, 107424974, 35164341, 57628305, 31533926, 152283894, 34900327, 4491017, 12780855, 77874438, 63583366, 154916165, 16156968, 94962878, 105648214, 67476139, 6464083, 30294394, 40494509, 129687135, 20692942, 8385885 ], [ 25459491, 97085922, 113505080, 77354533, 12984759, 7829423, 34444996, 62385598, 92583342, 77985592, 6003605, 74243328, 71615469, 216851006, 140619843, 130913996, 35635354, 50208565, 51287163, 131129715, 29984501, 178676863, 45201766, 34088334, 14533353, 200747968, 141286325, 31043805, 4139590, 306351535, 182484876, 29057547, 66123117, 172567752, 9919743, 107832548, 75183457, 59540392, 144919241, 37153598, 10758040, 124550739, 98787651, 107106667, 20220556, 12349849, 84757146, 61890737, 60353677, 18469628, 26014536, 36602426, 211259957, 83410314, 57797426, 41932736, 62931609, 84306054, 4802336, 47555846, 5783443, 112717038, 33395442, 48164330, 124408115, 152204219, 153241958, 57397712, 63628992, 11128502, 65127504, 104722467, 104330210, 20330484, 231451721, 116247650, 233231838, 131638582, 95255415, 19249411, 34174321, 19618925, 61363746, 97706088, 75852891, 23136344, 47933954, 15301898, 95843728, 73828439, 79797849, 7492623, 53375586, 19222845, 64264847, 5229812, 45585018, 43573138, 272014843, 68055126, 6496455, 79870237, 64410245, 233661128, 165357810, 66672821, 52719948, 32194651, 53895569, 74660098, 31533926, 152283894, 108892514, 6531870, 40091346, 77874438, 14187457, 191711858, 39902837, 11442245, 146925549, 67476139, 87110961, 151942438, 158211790, 102896638, 54663602, 4334444 ], [ 6925873, 13262061, 49482088, 5909399, 2820530, 66559418, 40798206, 10728620, 25044537, 16677736, 71756214, 6951828, 13372239, 8494867, 33521235, 168420621, 18518610, 127369020, 34562533, 31416651, 1549220, 32090228, 54507159, 16439853, 8151623, 14229681, 30126758, 27441290, 4139590, 9811063, 97862112, 11282436, 33588870, 18212595, 9919743, 18914570, 85660278, 59540392, 23580742, 194479144, 56845272, 39668587, 98787651, 14539178, 85409986, 8738751, 46963576, 142584450, 92826717, 14516404, 26014536, 72386568, 12789386, 13392175, 30581879, 11735842, 45905306, 6044690, 23757037, 136370792, 405868219, 51921857, 33395442, 36769191, 2663878, 137077539, 9199391, 12512447, 25329720, 11128502, 93913472, 141633213, 26179740, 60270550, 20588532, 146629205, 55950860, 138757696, 24397799, 3400982, 72730439, 39596907, 24766906, 23507974, 43412957, 23136344, 9650165, 33878282, 34164230, 18304533, 119485024, 7492623, 77572742, 19222845, 15727200, 5229812, 33930366, 979604, 114793140, 32328827, 129033603, 22447868, 46124803, 44385067, 90687665, 60881301, 19570961, 2028917, 13086775, 36831880, 26152720, 79397894, 3314149, 31420260, 56142215, 37966319, 17784397, 30194707, 24346444, 7755034, 73486107, 39880734, 43727282, 12797032, 61553208, 27935770, 54663602, 41236674 ], [ 133767379, 97085922, 13184479, 70077661, 33277103, 168197060, 123781816, 117287956, 113653614, 205204983, 114984780, 5722016, 79362132, 216851006, 49382248, 231692890, 35635354, 50208565, 75816273, 39819910, 48757041, 50355693, 48133062, 34088334, 76044419, 105951798, 252156013, 64536951, 31058967, 277123138, 126499164, 73925885, 62354086, 187451739, 126871329, 220070699, 15948992, 223317775, 131021875, 101321538, 20265390, 19729940, 103623719, 17601973, 31420656, 72681927, 36697333, 5528881, 31732514, 18469628, 81951624, 10030682, 107204735, 146780180, 98129014, 117750851, 20205071, 64185138, 42746988, 142015545, 22685670, 163526627, 82317818, 23951579, 133278352, 189038725, 55101463, 277649180, 68295644, 11128502, 58691418, 62792592, 144387996, 260872505, 286420121, 2049713, 37596511, 83060934, 80381280, 9123558, 17086887, 123598977, 61363746, 26791723, 36103838, 23136344, 156336636, 1691858, 48669013, 40616298, 138588934, 100058244, 8702321, 19222845, 26139271, 3816036, 47946239, 15323433, 155831722, 68055126, 42362674, 106473325, 64410245, 33373381, 16479757, 36643396, 160122026, 26437147, 7958284, 61382297, 168782422, 201298714, 34900327, 199072778, 15882741, 71561743, 48719828, 107331995, 17555255, 34817675, 105648214, 140554806, 18803549, 14452983, 78570652, 86728952, 370963362, 28598678 ], [ 52978092, 30243011, 531383, 116655872, 86909672, 7829423, 28045903, 10728620, 47429823, 16677736, 22697464, 7287072, 84520594, 51845718, 54241451, 26238577, 35635354, 40718045, 81957653, 47373450, 4584997, 63546489, 54507159, 9848620, 92008897, 47168326, 58205030, 2252364, 4139590, 21147669, 122531030, 70712698, 66158977, 19490018, 13436997, 22598478, 28206469, 39566957, 9985536, 37153598, 36774646, 8202190, 103623719, 123732461, 20220556, 8738751, 24067276, 145062040, 14193971, 29578347, 26014536, 30257612, 6725716, 49755262, 57797426, 11735842, 16568370, 5358192, 66967279, 68387404, 64474081, 32873407, 33395442, 36769191, 77097147, 4770883, 10076911, 9266678, 17313515, 11128502, 59252576, 3453250, 104330210, 12467909, 33384915, 41956379, 73825580, 6383932, 58722315, 19249411, 34174321, 77870115, 24766906, 24131304, 5486232, 23136344, 26254364, 23820794, 34164230, 73828439, 28854300, 5193768, 23401976, 19222845, 15727200, 5229812, 106176529, 43573138, 22317967, 13411347, 129171126, 79870237, 22173503, 68055568, 63287673, 3949309, 144230593, 19964998, 19607887, 45456132, 9839641, 26876243, 17980645, 15851685, 14117719, 26394224, 123359600, 7842654, 39902837, 7755034, 7805551, 9601057, 6464083, 35781802, 23136354, 4235275, 39011870, 29288678 ], [ 669828, 13262061, 23432269, 26799884, 14042960, 38081745, 8978114, 10728620, 9830850, 71013518, 11921283, 7287072, 84520594, 99878205, 47579100, 26238577, 58480517, 4526908, 81957653, 25950994, 69861726, 83754180, 38911756, 34088334, 32404941, 17378758, 13003503, 8583467, 26666345, 9811063, 22455959, 17844472, 30480996, 70631717, 91544097, 22953133, 21856674, 59540392, 9985536, 26723723, 36108440, 3362491, 39414969, 33410745, 107771326, 64278868, 39057924, 39783660, 211461577, 18469628, 26014536, 86665551, 45328380, 28863318, 2056129, 13802806, 17143545, 22511935, 75391037, 57637243, 10098227, 35379752, 43873508, 32744536, 92585533, 4770883, 10076911, 79939435, 7743794, 11128502, 62890621, 11728368, 26179740, 11856924, 47104719, 24085954, 34699052, 83060934, 24397799, 116880353, 76332171, 10158467, 15827323, 57259835, 94149337, 23136344, 102817923, 129853312, 20337306, 29302169, 88203848, 4337233, 35881988, 19222845, 557417, 5229812, 5674697, 14426585, 34446864, 56055133, 13217, 22447868, 64410245, 20683307, 29603894, 10148911, 10649052, 12874727, 26093144, 63829230, 31533926, 14097061, 15506915, 6531870, 22984477, 3516097, 221657, 584613, 24346444, 60114969, 10094996, 40323602, 67497535, 64718535, 35224291, 45892593, 13486249, 4334444 ], [ 69425260, 36539407, 40277496, 22951938, 87527441, 7829423, 60053269, 53868996, 9830850, 85655049, 42493755, 48221161, 99716038, 12407040, 58499079, 39070086, 35635354, 60942216, 51287163, 138673085, 60883089, 32090228, 54507159, 34088334, 21710163, 200747968, 16674892, 124763675, 36979083, 9811063, 32318278, 23112713, 66158977, 41973159, 19352756, 107832548, 16958417, 34195646, 23174927, 58031439, 83768414, 39668587, 101321535, 12211957, 1351015, 10151165, 60722984, 145062040, 19880138, 89121664, 2550892, 10194585, 103377211, 49755262, 12595943, 10654555, 22877542, 108771973, 203665869, 34069127, 14715962, 141760805, 123315584, 8870542, 133278352, 127449548, 129481555, 12512447, 69641278, 11128502, 25442582, 65491090, 21766047, 48669594, 33384915, 116247650, 202082049, 93790243, 86746536, 3476361, 48829120, 10158467, 3761019, 24131304, 70291863, 23136344, 89945621, 136121309, 16187715, 139946616, 35576021, 48008163, 23401976, 19222845, 15727200, 5229812, 47946239, 43573138, 36458480, 32328827, 147191683, 22447868, 22173503, 68055568, 16479757, 18992094, 36849268, 18029310, 35164341, 94194490, 26152720, 136586254, 3314149, 16860491, 54283146, 4718695, 123359600, 36215336, 24346444, 22717768, 7805551, 67476139, 135827500, 78707398, 65604693, 95588817, 124562973, 8385885 ], [ 6925873, 97085922, 34095197, 23371577, 53044868, 7829423, 81223123, 24139189, 47429823, 16677736, 60554442, 28429720, 8799657, 31275644, 57273016, 118568550, 35635354, 125007187, 176555435, 14622772, 29984501, 46042705, 54507159, 34088334, 64401909, 43176167, 41477025, 12601532, 4139590, 9811063, 115323660, 52518099, 44688719, 75117847, 22724694, 22598478, 122829624, 40851815, 75907274, 135527189, 25867508, 39668587, 56238894, 107106667, 141293504, 5564078, 17412049, 10500328, 166580631, 101081493, 26014536, 10030682, 51512369, 21139736, 74241463, 13802806, 179471924, 6044690, 14648640, 61634802, 64474081, 163526627, 26970666, 27819388, 6181987, 6975885, 30982871, 3190470, 104308702, 11128502, 42743727, 57370478, 26179740, 9183287, 46586804, 1314150, 48982349, 176216109, 17731912, 19249411, 49723126, 78777644, 24766906, 51896556, 8841244, 23136344, 59252317, 143590005, 16187715, 73828439, 1357031, 74765455, 98587144, 19222845, 85472646, 21108739, 113461032, 43573138, 130825397, 32328827, 123075091, 15764238, 46124803, 114835017, 98532729, 150049881, 15897088, 173777411, 35164341, 166594725, 26595740, 50978585, 159637991, 150276732, 39482815, 226901, 14187457, 23286481, 5759422, 10685536, 48659872, 54314133, 85358323, 35781802, 74621554, 1832243, 54663602, 75268922 ], [ 5468845, 25627318, 21464014, 43382058, 25910147, 7829423, 82241178, 23676124, 47429823, 14945151, 74776429, 38819351, 131533300, 25310052, 228818974, 160913014, 98507634, 17664931, 13840959, 564141, 20594700, 46042705, 54507159, 34088334, 79409986, 43176167, 176075457, 10496250, 4139590, 9811063, 36342808, 4276608, 30792772, 91141172, 57270658, 225807495, 85660278, 15739239, 71706471, 23987576, 85422202, 39668587, 37415835, 744442, 39853586, 129744864, 46963576, 22918316, 92960634, 25138037, 26014536, 10030682, 119644470, 105666796, 17366602, 13802806, 87782041, 8221730, 14648640, 34407719, 152107309, 51651646, 5599765, 23951579, 42556680, 8767110, 12232, 44341831, 65142907, 11128502, 11075809, 6038789, 2585693, 60270550, 20588532, 64300191, 39107390, 23355992, 29660403, 19249411, 45404420, 10158467, 24766906, 14250187, 123332318, 23136344, 71250027, 34969278, 36523646, 5362144, 19715812, 17197063, 119276014, 19222845, 20286424, 20065544, 21907709, 43075958, 593060, 32328827, 9877748, 22447868, 64410245, 25339270, 18629613, 59900853, 54951571, 22637804, 35164341, 127411326, 175603418, 18245555, 22799841, 15844133, 44866305, 77874438, 14187457, 90181894, 24346444, 22717768, 10094996, 24773796, 48791520, 30294394, 86754375, 15123677, 32505446, 54727878 ], [ 297616339, 191013128, 12192336, 157663952, 4948844, 7829423, 41532827, 147990197, 47429823, 53988238, 151853792, 55136879, 45110786, 25310052, 7894273, 13927614, 98507634, 148363555, 284959674, 88379036, 29984501, 46042705, 48133062, 6185677, 1830157, 47168326, 171782295, 8874972, 5083551, 21147669, 92691441, 54546634, 168067667, 482739570, 75537874, 35669216, 15752055, 90589342, 240537181, 103392332, 188043164, 39668587, 107873626, 83719085, 7150152, 805855, 17412049, 112003318, 102949115, 122444409, 26014536, 33897861, 246096465, 13554292, 47110452, 61979455, 141989178, 9172162, 14648640, 35416368, 66163271, 159790313, 18614527, 48164330, 190524453, 23458859, 12232, 85464298, 26803841, 11128502, 62886761, 57370478, 109216215, 139387058, 99133157, 9189703, 36851458, 40748959, 95255415, 21767430, 49042019, 29198634, 24766906, 26791723, 128009434, 23136344, 192082432, 34766411, 47087107, 25413000, 66673514, 393004649, 20264773, 319472652, 20286424, 103915445, 242640728, 43573138, 76326658, 32328827, 107737063, 8500480, 64410245, 114835017, 197976336, 246766272, 142889517, 291330493, 35164341, 68911876, 111981171, 31755823, 91065060, 97437629, 39972636, 68157122, 14187457, 36858617, 71714028, 145988364, 114006607, 67476139, 7194354, 78707398, 223595272, 82219371, 116591466, 158189237 ], [ 7735612, 75324996, 91521943, 36952558, 136245013, 7829423, 50325822, 130453420, 51594694, 88777570, 42522121, 27292223, 71615469, 62120632, 48200401, 89913439, 18518610, 115646117, 5312691, 128972561, 185887861, 78296034, 40985255, 34088334, 8151623, 4221199, 54620196, 46274253, 36979083, 9811063, 11870285, 22597188, 13784895, 19490018, 9919743, 43355376, 72417587, 21224022, 41004952, 98848060, 188043164, 7658704, 55363347, 46845475, 7150152, 69048485, 10632330, 5528881, 38316470, 67765782, 68774826, 87331021, 12789386, 63270843, 98129014, 13802806, 3149179, 22632365, 14648640, 17584145, 43117440, 14572170, 29004805, 29971251, 41179422, 23458859, 2235822, 20876282, 50326426, 11128502, 39448915, 48401055, 16950518, 12467909, 20588532, 76258876, 67208894, 46560242, 495000, 10429783, 78160721, 48006655, 27908052, 54954073, 12184028, 9241107, 69598431, 7014981, 47087107, 26076786, 28854300, 7492623, 118895419, 3742469, 10867071, 26346947, 5674697, 43573138, 8006431, 81208466, 15125154, 22447868, 64410245, 2842731, 6579830, 42055225, 116390549, 43313435, 11261624, 914881, 8198026, 44933036, 1250663, 13922407, 68779907, 20423309, 14187457, 9219250, 24346444, 15699761, 89242635, 76350134, 6464083, 21448437, 5101138, 61796311, 100679761, 65732532 ], [ 10343113, 73957937, 9024081, 47571537, 77632548, 7829423, 29422286, 46771487, 47429823, 142793895, 43547161, 65899109, 24388200, 37083188, 57273016, 13927614, 3767894, 6686027, 51287163, 4815791, 29984501, 9324309, 34949023, 34088334, 31517016, 47168326, 142789732, 19528142, 36979083, 9811063, 145809542, 52518099, 50808603, 10967976, 9919743, 22598478, 85660278, 34814590, 84598180, 26723723, 36108440, 21906710, 20106011, 24447404, 120043366, 5564078, 17412049, 5528881, 158281515, 20731466, 26014536, 58002015, 2868360, 21139736, 36566679, 13802806, 75770217, 136818848, 14648640, 3767974, 47446923, 14572170, 33395442, 48164330, 39293493, 23458859, 2235822, 3190470, 80456998, 11128502, 22704879, 14339896, 7075775, 63702730, 20588532, 76258876, 37367794, 112041828, 95255415, 108979105, 91734214, 4141606, 24766906, 12079222, 8841244, 23136344, 192082432, 34969278, 48669013, 5401452, 95172109, 7492623, 23401976, 19222845, 15727200, 5229812, 29218734, 16785885, 76326658, 3041598, 30869059, 16721000, 22173503, 28666453, 18354612, 6136708, 146392488, 21571738, 35164341, 18875456, 8198026, 152283894, 1250663, 194919342, 240354627, 9626590, 3207842, 36858617, 24346444, 7393291, 7805551, 16036264, 87110961, 78707398, 208043842, 18615545, 33560528, 59881781 ], [ 199948301, 76404822, 40672129, 14325490, 125013236, 42561139, 81223123, 7828329, 47429823, 57359663, 119367130, 40028156, 84520594, 97544519, 153323512, 307577099, 74657092, 8106186, 127519183, 138673085, 29984501, 18862324, 54507159, 34088334, 21710163, 47168326, 17402290, 36072359, 4139590, 21147669, 2624770, 30479417, 82390790, 152055188, 90729572, 180270267, 118469328, 90589342, 151242993, 135527189, 108687630, 9182292, 49905013, 124972417, 141293504, 2229236, 17412049, 88607434, 73431428, 85786520, 26014536, 10030682, 246096465, 115206435, 74241463, 10654555, 61386346, 71019915, 14648640, 99788052, 47446923, 66316249, 33395442, 48164330, 14845455, 23458859, 58635147, 77917987, 92227861, 11128502, 1316220, 8520833, 104330210, 38302402, 55101405, 76258876, 43406476, 90102240, 95255415, 19249411, 225823557, 29198634, 24766906, 70947961, 48737309, 23136344, 84518664, 117505316, 16187715, 26076786, 67436219, 114032897, 10607018, 91123782, 105227604, 5232805, 47340093, 43573138, 8006431, 26937213, 156622523, 13943434, 64410245, 114835017, 40926487, 212371609, 30097089, 16500462, 35164341, 32906236, 8198026, 72067210, 27328226, 269957397, 179077804, 12788432, 14187457, 171777261, 34455431, 83135938, 86468677, 63339542, 87110961, 78707398, 223595272, 166270172, 54663602, 65732532 ], [ 2741344, 13262061, 9024081, 80487212, 5044895, 7829423, 34444996, 160607, 31816588, 111941412, 38036421, 58141178, 36948202, 246794184, 82691050, 142769245, 35635354, 25228228, 6239508, 1967362, 29356258, 145346425, 45201766, 96292088, 101437440, 43176167, 78565066, 2566108, 36979083, 9811063, 11037895, 43527620, 130629805, 90961544, 9919743, 107832548, 130408118, 125350875, 178346037, 101321538, 188043164, 6511714, 98787651, 6081311, 39853586, 10151165, 76710879, 5528881, 102949115, 89121664, 26014536, 36602426, 46999434, 49755262, 47110452, 10654555, 19594764, 84306054, 4802336, 136250333, 313498671, 48287149, 24055500, 43812522, 52369540, 137077539, 10879380, 20876282, 30422587, 11128502, 94932526, 87713217, 2585693, 59467860, 60019498, 116247650, 15179998, 6429636, 103836643, 64889486, 262056650, 52011597, 36793278, 38771833, 72416156, 119802783, 188531185, 10302683, 48669013, 73828439, 66873785, 4681896, 23401976, 11570406, 132075651, 5229812, 45218062, 43184542, 12363209, 9350717, 6496455, 6227883, 22173503, 33373381, 34087252, 19109495, 38484741, 43313435, 2458123, 8246687, 111169812, 18245555, 76942307, 41701668, 54283146, 13721683, 60428375, 9219250, 24346444, 76513812, 7805551, 131457363, 85358323, 25327513, 118204238, 15380164, 145718983, 53692391 ], [ 36165227, 97085922, 40480677, 80487212, 21263892, 7829423, 23327643, 117500891, 66854466, 113179579, 150685462, 12897912, 4691642, 18122829, 100320827, 154122806, 35635354, 58008113, 34562533, 108422832, 6953987, 50687754, 54507159, 34088334, 87890122, 68898971, 30126758, 63721726, 4139590, 21147669, 83192653, 99265705, 5807442, 85384897, 9919743, 79103186, 1845578, 63631160, 15310676, 41096466, 35327262, 15458647, 84011763, 124972417, 71255000, 72681927, 59687196, 5528881, 16195133, 987742, 418826312, 74487567, 59943224, 44177979, 65977693, 100199487, 5743896, 13660672, 68029201, 24109732, 280582105, 46011238, 21762789, 173936168, 2663878, 152204219, 119854913, 128357140, 149805317, 11128502, 59593771, 14483268, 118825427, 28358421, 49304217, 79496861, 60974175, 37893454, 23683780, 19249411, 162291132, 35059544, 93224471, 10975911, 43412957, 23136344, 20726289, 33862770, 34164230, 341154787, 107831243, 7492623, 26591430, 19222845, 43791318, 5229812, 44055985, 43573138, 36272660, 22205311, 367217305, 18860347, 52840328, 33373381, 120380863, 59180094, 19570961, 3560575, 26604012, 22722221, 27387646, 72021464, 34900327, 41701668, 38538475, 77874438, 48719828, 53827062, 16879250, 7755034, 73486107, 30732504, 36917440, 78707398, 62547840, 35306871, 40133176, 26414154 ], [ 73278332, 16340085, 40672129, 41152116, 94269496, 52328304, 9932328, 10728620, 47429823, 28915564, 23414985, 74243328, 25367037, 51991602, 12258353, 8224830, 35635354, 13983601, 21654249, 12230160, 29984501, 70120030, 54507159, 34088334, 15072477, 455495, 70439458, 46833787, 15083604, 9811063, 90105736, 11712567, 33744510, 42955388, 36125036, 22598478, 118155906, 181964479, 9985536, 42639430, 108687630, 32504316, 88147083, 17925071, 39598691, 152793785, 46963576, 8445891, 95858738, 52133795, 26014536, 10030682, 15119195, 1168492, 74241463, 13802806, 15708396, 36590580, 14648640, 37535908, 68185028, 163526627, 33395442, 48164330, 77097147, 4770883, 65505330, 59124870, 6005507, 11128502, 27213168, 6038789, 26179740, 11551965, 34667850, 117362791, 57303198, 37893454, 10845223, 26225179, 41445570, 19213264, 24766906, 45077948, 43158043, 23136344, 4519966, 15301898, 26360257, 66429240, 10815596, 3616534, 35881988, 19222845, 9662602, 5229812, 1406719, 43573138, 211353306, 139996173, 153594418, 22447868, 19581205, 54031989, 25172424, 24848437, 92336986, 2028917, 35164341, 44889348, 49100481, 28438216, 17980645, 24390536, 11146030, 39529471, 13807998, 9219250, 24346444, 34438843, 146416411, 67476139, 17832662, 49486636, 24638621, 98080016, 12601422, 134769316 ], [ 50473785, 39301225, 1093188, 19024060, 5044895, 7829423, 29738778, 24065146, 31816588, 77985592, 10884386, 74243328, 4691642, 12265261, 12258353, 59170089, 21648735, 28824799, 61191946, 11179174, 69861726, 34238619, 35710566, 34088334, 21087613, 43176167, 19916619, 71549673, 36979083, 9811063, 161814754, 30479417, 28190702, 19490018, 9919743, 100200947, 47044212, 125350875, 9985536, 33827939, 115968453, 100377335, 6687197, 114891838, 133202078, 5564078, 22487531, 54676401, 60031440, 85786520, 295410066, 86665551, 27207638, 28863318, 98129014, 13802806, 77217011, 31277342, 14648640, 39402305, 113427973, 9736197, 45966148, 15008321, 180005608, 4770883, 29707786, 3934247, 7445093, 8937545, 35979625, 137989393, 26179740, 12467909, 1624088, 94579031, 8172015, 31532024, 24397799, 88889098, 76332171, 33612121, 40525522, 152145799, 8841244, 23136344, 19146395, 34969278, 85715657, 37443900, 13926909, 7492623, 38453234, 12887315, 107146911, 5232805, 20276681, 20082573, 138224025, 8258553, 34106062, 15181059, 30502871, 604917, 100601120, 2904225, 2476592, 1634069, 2458123, 254881093, 31533926, 16555553, 15506915, 42725679, 157498963, 77874438, 14187457, 9219250, 24346444, 44294600, 17191537, 67476139, 6464083, 43439840, 177756543, 102896638, 55586015, 20220906 ], [ 73278332, 97085922, 9024081, 74511019, 60614589, 7829423, 84520266, 34627169, 11338106, 97669279, 151853792, 34278908, 71615469, 84957664, 12258353, 97040366, 18518610, 78537317, 8044475, 1967362, 74257063, 46042705, 54507159, 233575, 8151623, 43176167, 112493019, 47841020, 27010452, 9811063, 22455959, 70712698, 28190702, 19490018, 9919743, 18914570, 59625208, 63446251, 9985536, 5676693, 37678536, 19494935, 98787651, 84396464, 85409986, 5564078, 13451784, 29399507, 59102150, 85786520, 214328992, 87331021, 12789386, 2473310, 57797426, 10654555, 21636417, 57345974, 14648640, 7096110, 15452109, 23332871, 166247101, 15008321, 23182152, 4770883, 85400751, 4267729, 50326426, 11128502, 44051163, 104722467, 26179740, 12467909, 105449809, 34099829, 39663821, 31532024, 95255415, 14657955, 44849971, 28654178, 15827323, 21883622, 8841244, 23136344, 31450107, 104721923, 20195294, 1586059, 28854300, 5193768, 23401976, 19222845, 119176544, 5229812, 37119810, 5129068, 22317967, 9350717, 167889301, 22447868, 1328670, 53670903, 23382202, 2904225, 30247166, 10682196, 11261624, 39156272, 808038, 93345118, 15506915, 76174232, 54283146, 26394224, 14187457, 9219250, 24346444, 94962878, 7805551, 44842660, 6464083, 78707398, 30813242, 67233881, 51371230, 1734627 ], [ 90265107, 76844596, 24442142, 52262630, 33277103, 7829423, 146052228, 112408125, 30982979, 63527170, 11836062, 74243328, 5231720, 75666424, 57273016, 10794703, 7619152, 102060070, 44708668, 12230160, 14547668, 24691208, 54507159, 16439853, 8151623, 3571107, 9428168, 39720231, 4139590, 9811063, 175520791, 20960442, 56755802, 86439671, 9919743, 18914570, 48222143, 94981046, 17080176, 55155419, 56845272, 18297145, 11952348, 9843396, 85409986, 47068684, 172149563, 93302690, 122927825, 56346379, 26014536, 36602426, 12789386, 52772735, 115547, 13802806, 21636417, 7865970, 54332510, 6610976, 64124675, 6417839, 104240895, 54363605, 758187, 65121078, 80665036, 40626174, 50326426, 11128502, 57781679, 52984947, 26179740, 60270550, 128484385, 57431335, 26633138, 11807115, 103539250, 19249411, 5989126, 7369407, 40525522, 23507974, 26850711, 143099390, 122076125, 65261005, 34164230, 15465939, 191962791, 7492623, 8702321, 19222845, 163961914, 8202196, 26063013, 2380324, 137434668, 34800999, 18657994, 22447868, 52840328, 44385067, 58610343, 10148911, 2331077, 43313435, 2458123, 25731143, 31533926, 28372938, 108892514, 31420260, 17198390, 12788432, 132855780, 9219250, 19888394, 7755034, 47528981, 67476139, 919956, 12797032, 26256355, 81396539, 50708775, 20795764 ], [ 43866048, 12894024, 91521943, 56177437, 24353982, 37924065, 65503753, 160607, 11338106, 13939513, 150685462, 12235856, 56211229, 72279894, 12258353, 88700432, 35635354, 25228228, 48870021, 44052371, 29984501, 88262117, 54507159, 16439853, 15072477, 43176167, 70439458, 46274253, 43823162, 18333814, 17570951, 108535708, 30480996, 84511049, 14422102, 18914570, 15621698, 213877410, 9985536, 14601649, 115968453, 6511714, 24433641, 42432070, 85409986, 78374342, 16984205, 93302690, 58222733, 93222198, 26014536, 39656652, 39673329, 43202091, 8513457, 11735842, 179471924, 1621307, 11163758, 44525665, 235988800, 106226939, 33395442, 74046888, 162833403, 3253241, 38336204, 20876282, 89512525, 11128502, 30481067, 3453250, 88897354, 22725831, 167881667, 74823777, 48897775, 24342670, 50575655, 26225179, 36951809, 19213264, 18366922, 45077948, 26850711, 7552922, 148075080, 10302683, 6061460, 73828439, 87205480, 154357584, 20264773, 19222845, 25784813, 6854191, 47946239, 43573138, 303384838, 57431138, 34106062, 6227883, 64410245, 6771549, 46294211, 71757534, 86169072, 43313435, 2458123, 8246687, 92547378, 31755823, 17980645, 41701668, 23536374, 38166680, 22703114, 9219250, 56693518, 28788083, 193466779, 9601057, 4000571, 39722141, 26256355, 72304628, 39011870, 8385885 ], [ 31452670, 13262061, 761466, 10014879, 13188584, 7829423, 8978114, 160607, 11338106, 58395662, 33741451, 15054942, 25367037, 63070458, 12258353, 53775700, 148249129, 148363555, 51287163, 1967362, 89229055, 46042705, 45201766, 233575, 31517016, 285087, 146525253, 31043805, 29079525, 21147669, 142246818, 25499364, 92420806, 12880190, 9919743, 21381525, 21856674, 57957112, 9985536, 37153598, 37678536, 6511714, 73664004, 54695900, 41919524, 1403991, 8899107, 20604721, 58222733, 52133795, 26014536, 87331021, 46999434, 67955405, 5425376, 10654555, 107199860, 10537101, 22212429, 16026834, 22719135, 71369223, 33261372, 15008321, 95862390, 4770883, 9199391, 1110301, 16242110, 11128502, 59415952, 7068486, 104330210, 12467909, 20672687, 34099829, 1375471, 43988455, 72596379, 7171234, 116833549, 5985245, 24766906, 35163687, 8841244, 12526600, 31450107, 61677372, 39548997, 40272716, 28854300, 5193768, 39834575, 19222845, 117235800, 5229812, 47946239, 6384058, 204568218, 29788284, 90727368, 98509620, 1328670, 102544155, 34087252, 9321303, 96579991, 16777169, 20953012, 29428568, 31533926, 31595333, 1250663, 194734734, 54283146, 8311839, 4778538, 4263372, 2380353, 54679499, 59355253, 8338365, 6464083, 78707398, 48539683, 36465534, 187539302, 1734627 ], [ 81365832, 13262061, 33386280, 48755134, 30086569, 7829423, 157367015, 10728620, 31816588, 41997364, 975437, 74243328, 71615469, 195379859, 12258353, 84954504, 206066800, 22384818, 42310155, 60232861, 29356258, 34238619, 54507159, 14830433, 15072477, 47168326, 7538870, 18660679, 63588207, 21147669, 182484876, 293126636, 130629805, 30705108, 9919743, 99389280, 140274632, 58492398, 23103664, 26723723, 36108440, 74514401, 53423190, 52687771, 20220556, 181581527, 16984205, 85921146, 223725259, 85786520, 26014536, 87331021, 59943224, 111117226, 5206059, 41932736, 45905306, 84306054, 60718034, 117646528, 52729361, 56980432, 5795006, 32744536, 70395739, 240620, 70797506, 71913506, 65801535, 11128502, 58691418, 37568887, 104330210, 68994930, 55101405, 116247650, 3875611, 37893454, 73399225, 26225179, 34174321, 52011597, 24766906, 34098871, 304105689, 23136344, 1113806, 96580426, 33831785, 73828439, 23050872, 7492623, 8702321, 19222845, 26139271, 5232805, 67645718, 15323433, 8006431, 34787540, 6496455, 23230623, 57685915, 18143679, 29603894, 109877727, 2331077, 4946534, 2458123, 122732191, 31533926, 152283894, 10387940, 41701668, 70906157, 162911, 221657, 9219250, 56513030, 58670342, 223485423, 96268656, 61771202, 25327513, 178107413, 98080016, 144813731, 123716021 ], [ 39144396, 41675453, 40672129, 22543064, 30086569, 42600000, 81223123, 10728620, 47429823, 41997364, 3693519, 20146360, 12711568, 56429743, 8744224, 97040366, 3227473, 82422331, 42310155, 76344852, 29984501, 41601143, 54507159, 27836708, 7184443, 23604150, 70046153, 63918812, 4139590, 3030186, 88685612, 30479417, 28190702, 91141172, 45833784, 36940399, 89979232, 90589342, 23580742, 26723723, 36108440, 7407931, 16118041, 1004199, 29840421, 10914927, 10950694, 28538266, 69293433, 85786520, 18547202, 10030682, 59943224, 28863318, 74241463, 10654555, 115139441, 38845634, 14648640, 82513676, 68185028, 150197605, 33395442, 15008321, 23182152, 137077539, 7457762, 64436230, 106534241, 11128502, 162561907, 30023392, 4760458, 60270550, 55101405, 96698991, 15179998, 31134821, 24397799, 19249411, 18620575, 52011597, 24766906, 21883622, 5633180, 23136344, 143989921, 125779475, 36523646, 73828439, 22346814, 9952316, 8702321, 19222845, 8190830, 5229812, 16448134, 15323433, 8006431, 138836716, 6496455, 22447868, 57685915, 114835017, 29603894, 2904225, 102721528, 7056005, 2458123, 10655704, 31533926, 201496898, 93898343, 41701668, 54283146, 7845512, 14187457, 256048985, 24346444, 279350, 6565548, 67476139, 87110961, 68433449, 136348263, 2809997, 33579362, 14103721 ], [ 81768555, 37872946, 213557621, 85872254, 119583545, 88044602, 34444996, 306660385, 11568794, 41985350, 111594686, 55136879, 25367037, 154045893, 12258353, 4605955, 98507634, 148363555, 349219465, 131129715, 97304613, 34918793, 45201766, 34088334, 89940668, 23604150, 144176318, 31043805, 23647385, 56282504, 17851763, 70712698, 108507156, 19490018, 9919743, 90299454, 48222143, 87251007, 213806495, 61987849, 88944037, 108270510, 49905013, 119511733, 7150152, 116417252, 46963576, 93302690, 84387194, 85786520, 21326024, 87331021, 51243350, 28863318, 74241463, 119766439, 179471924, 66324518, 11163758, 236839012, 64124675, 163526627, 166247101, 149107939, 114479603, 81564991, 112297180, 71913506, 94420609, 11128502, 18298946, 94644189, 104330210, 12467909, 44613304, 29962433, 25886075, 25369199, 24397799, 64889486, 297331406, 156045941, 24766906, 14250187, 329529431, 23136344, 82310293, 65261005, 31459281, 73828439, 28854300, 7492623, 53375586, 19222845, 31335309, 5229812, 73495952, 35707345, 117864039, 82379273, 6496455, 6227883, 56859134, 114835017, 125381541, 67723193, 14934828, 43313435, 2458123, 94194490, 31533926, 152283894, 108892514, 1164866, 158375120, 77874438, 14711515, 9219250, 32528429, 94962878, 85009503, 67476139, 6464083, 25327513, 223595272, 98080016, 60754381, 20569385 ], [ 35045781, 97085922, 20551867, 4059944, 5850826, 6526549, 18085174, 92093921, 11338106, 71013518, 42493755, 17470031, 71615469, 58443649, 55628023, 118994575, 31779127, 78537317, 7011872, 564141, 29984501, 83754180, 54507159, 34088334, 21710163, 19300595, 1324353, 79277097, 4139590, 9811063, 182484876, 9423297, 92420806, 86439671, 9919743, 22598478, 15948992, 90589342, 86884185, 179805155, 70644866, 19494935, 49905013, 40323342, 57221722, 10151165, 46963576, 5528881, 106526601, 52133795, 26014536, 76643962, 45328380, 20853975, 62212096, 13802806, 48212736, 71019915, 14648640, 16330527, 51944753, 74161258, 33395442, 17485048, 123532687, 94694854, 120024304, 107018213, 130222891, 9746900, 96556219, 6038789, 7862580, 28358421, 20588532, 116247650, 142157452, 62078491, 29660403, 7071017, 262056650, 99339, 24766906, 84495978, 44399837, 23136344, 71541590, 45723755, 48669013, 73828439, 1325224, 7492623, 23401976, 19222845, 19860340, 104997302, 48458151, 25641900, 8006431, 118259672, 112489995, 22447868, 22173503, 33373381, 18629613, 10148911, 43288593, 199328976, 35164341, 55393996, 4326385, 152283894, 34900327, 9103766, 240354627, 77874438, 14187457, 65438270, 24346444, 10524672, 7805551, 76350134, 142662399, 58372342, 38115983, 82090494, 37372630, 8385885 ], [ 5127039, 97085922, 34280264, 51941110, 33277103, 7829423, 158328829, 7341564, 1554397, 120339443, 43350785, 55136879, 21363058, 61896739, 102034964, 185523082, 23745391, 16104826, 33323390, 564141, 69861726, 46042705, 25690881, 34088334, 15072477, 16902891, 58205030, 19528142, 9822267, 21147669, 5128120, 9423297, 60224318, 85189789, 9919743, 6019223, 49331429, 38195573, 84598180, 64448995, 71771229, 19494935, 49905013, 24447404, 3538355, 10151165, 46963576, 1292095, 110262559, 16255500, 26014536, 76643962, 18357705, 49755262, 74241463, 122424808, 1681308, 4698523, 14648640, 27143142, 158797920, 163526627, 1273891, 6921616, 30342613, 23178414, 43453996, 12512447, 147444932, 11128502, 192547776, 104722467, 8142292, 28730007, 8301896, 9130233, 51997502, 90102240, 6272544, 26225179, 16757251, 69732026, 3450763, 26791723, 132605470, 23136344, 28638843, 143590005, 37520657, 58583604, 36587987, 7492623, 8702321, 19222845, 15727200, 5229812, 47946239, 15323433, 56542039, 26417492, 30869059, 93691925, 11205384, 33373381, 24670148, 47788533, 43288593, 3055479, 35164341, 55393996, 57870099, 24708084, 88655457, 9464478, 52528112, 71561743, 4778538, 3478928, 7752645, 94962878, 7805551, 23424037, 24255913, 78707398, 168282521, 7517031, 15608376, 8385885 ], [ 299506776, 97085922, 9024081, 367284122, 33277103, 220844189, 81223123, 43097201, 11338106, 1018292348, 151853792, 17470031, 71615469, 174118816, 363774614, 13112516, 366691104, 70631250, 345273254, 49244704, 29984501, 95413508, 54507159, 34088334, 21087613, 43176167, 151181762, 10496250, 264224125, 21147669, 182484876, 312561066, 92420806, 90067793, 9919743, 107832548, 154444328, 57334979, 65235045, 690353134, 85422202, 270728777, 49905013, 93323456, 355670573, 181581527, 90365535, 27659212, 331134396, 412914782, 26014536, 76643962, 246096465, 16235886, 17366602, 236434540, 140716814, 71019915, 68029201, 39525900, 57294962, 146962618, 33395442, 74046888, 7834649, 192154804, 97445803, 146382436, 158975681, 116942497, 164408576, 330038371, 217209329, 110104068, 432979246, 353772556, 87293229, 107258897, 43286633, 167507113, 162291132, 156045941, 85907657, 152145799, 48897944, 23136344, 143989921, 143590005, 35901352, 163710896, 119485024, 7492623, 8702321, 12767850, 97838497, 5229812, 44055985, 15323433, 88830111, 9350717, 22953946, 218835269, 316005694, 88710090, 97641606, 29147963, 19570961, 111206257, 35164341, 78441766, 342052023, 152283894, 108892514, 194919342, 303024978, 71561743, 123359600, 35384173, 39902837, 94962878, 278246155, 108217939, 87110961, 69537398, 178107413, 139650008, 60462286, 8385885 ], [ 95730979, 22529708, 91521943, 74511019, 94692035, 7829423, 31802633, 71961339, 120588044, 80658898, 70662746, 17470031, 71615469, 69439694, 5464742, 44486606, 18518610, 63795898, 154054563, 28941804, 29984501, 61453798, 54507159, 34088334, 8151623, 143953139, 40114819, 29258169, 85673659, 21147669, 52201792, 123172452, 47399467, 56022600, 9919743, 61696962, 59625208, 206894540, 86884185, 26723723, 11142073, 115188373, 49228053, 44469293, 115262461, 181581527, 84757146, 127497359, 29837395, 85786520, 26014536, 105897968, 12789386, 128500669, 78819804, 10654555, 24832656, 36552821, 14648640, 28456691, 123106573, 24647788, 33395442, 48164330, 219552584, 23458859, 131606927, 12512447, 50326426, 2292078, 47738403, 28456871, 7862580, 118429636, 20588532, 22385404, 39663821, 183581583, 5695966, 28062727, 25883679, 28654178, 94280770, 156836487, 48897944, 23136344, 39689072, 62301821, 121733072, 146370220, 1325224, 7492623, 80374169, 19222845, 15727200, 5229812, 1903626, 17051841, 8006431, 81208466, 156622523, 65078090, 64410245, 88710090, 16368907, 60881301, 43288593, 21571738, 35164341, 55393996, 2360303, 71982244, 83207267, 194919342, 134113624, 77874438, 2824147, 328592495, 39902837, 43654343, 43942944, 76350134, 87110961, 78707398, 183176331, 1832243, 64737594, 120635486 ], [ 50473785, 97085922, 91521943, 2900235, 136245013, 63796409, 143294559, 55032171, 12588680, 77985592, 83939298, 74243328, 13688128, 29888653, 140862904, 130913996, 148249129, 44778422, 51287163, 57593823, 155369916, 46042705, 52292132, 26502397, 24304359, 43176167, 17558543, 8874972, 85673659, 21147669, 64219860, 70712698, 47399467, 19490018, 130064242, 158620482, 66556052, 24810579, 65946066, 29478518, 122282160, 39668587, 88954935, 744442, 140293622, 160633157, 91704865, 14156480, 79187697, 224854834, 26014536, 261636816, 84713813, 28863318, 47110452, 86751626, 14569325, 8221730, 46647874, 40026291, 99257009, 56980432, 44960964, 15008321, 83584128, 23458859, 77986125, 20876282, 94420609, 11128502, 303861922, 104722467, 57584189, 12467909, 16919600, 17535400, 3875611, 71500726, 20106410, 167507113, 2886570, 176068714, 40525522, 61282264, 75852891, 118223108, 114441038, 143590005, 16636870, 15850384, 5360694, 24255827, 112610509, 19222845, 99527334, 41008850, 9904138, 43573138, 163430255, 3962925, 14369341, 28210224, 64410245, 193680224, 51408379, 184174541, 2331077, 38752516, 138571252, 49044164, 62345459, 187828815, 1957091, 85561760, 88138403, 17009030, 64456563, 135279616, 162226585, 166131326, 160924433, 207669906, 6464083, 85752042, 133945209, 21819546, 64737594, 123716021 ], [ 113849200, 341394530, 76287416, 23371577, 77756416, 96988812, 143294559, 130453420, 11338106, 14650532, 63894381, 39322931, 13619758, 86837586, 4413105, 104637394, 13628935, 1320109, 151600004, 57593823, 86999288, 260146167, 54507159, 34088334, 88772076, 43176167, 202725313, 46274253, 36979083, 9811063, 182484876, 165610688, 39255008, 135626786, 219899874, 57877349, 85660278, 90589342, 43112499, 265539386, 44872096, 197082590, 49905013, 321652881, 3421283, 100558590, 46963576, 11723354, 18707763, 88199954, 47943116, 87331021, 91970636, 31737944, 40988700, 13802806, 20917968, 16357919, 14648640, 82513676, 52900912, 274037916, 48123020, 48164330, 186940438, 137077539, 14639676, 20876282, 8109369, 280549608, 140177897, 177003822, 26179740, 13385597, 20588532, 260058841, 98322923, 147676384, 76316761, 87143158, 244179321, 56950452, 24766906, 250032135, 9256024, 23136344, 143989921, 143590005, 100621293, 48360465, 263724052, 114032897, 5096699, 77078727, 15101269, 43041183, 20276681, 43573138, 384768711, 97615777, 57148532, 22447868, 164107112, 42464866, 7652857, 176638311, 37329308, 291330493, 23647135, 144380207, 45485088, 98513525, 1957091, 85561760, 240354627, 77874438, 14187457, 265304909, 24346444, 171804474, 161019112, 55798321, 85358323, 78707398, 133595443, 235151078, 233926784, 8385885 ], [ 52978092, 73957937, 57791115, 76633906, 86909672, 7829423, 9546680, 6308334, 11338106, 71013518, 18422296, 4301374, 52601560, 75666424, 57273016, 117797821, 40855158, 10250157, 21654249, 23242567, 29984501, 98766317, 54507159, 34088334, 13014430, 102667720, 10281903, 46274253, 4139590, 21147669, 14630227, 8067203, 92420806, 53230853, 9919743, 6019223, 28206469, 8780717, 39196081, 14017762, 106461189, 124550739, 84751845, 93667746, 26854428, 164565107, 60722984, 145062040, 14335983, 48642513, 26014536, 72386568, 39673329, 67955405, 23663798, 13555269, 3815868, 108771973, 25272896, 186875839, 35055757, 42045524, 33395442, 4081438, 43866018, 133125907, 110304335, 20876282, 108452794, 11128502, 3837077, 224592928, 104330210, 13385597, 238622026, 116247650, 300302062, 91256681, 116549705, 19249411, 5105700, 15484388, 33859769, 150209431, 70291863, 23136344, 65709753, 34969278, 9807810, 73828439, 152840646, 7492623, 112610509, 19222845, 24039112, 5229812, 113461032, 979604, 89552030, 70670215, 141799632, 20750624, 12046729, 343069597, 65375189, 35033547, 142324235, 50434978, 13086775, 28094615, 14870913, 13856660, 79920231, 3457816, 22984477, 40351438, 14935790, 4956964, 39902837, 34438843, 10094996, 63339542, 78387384, 76733489, 46350896, 132466882, 54663602, 8385885 ], [ 14107149, 22529708, 91521943, 43872504, 62582630, 43448778, 34444996, 10728620, 31816588, 16677736, 151853792, 4810019, 12975026, 5734355, 60931390, 15234823, 40553025, 10250157, 223734426, 4365136, 97304613, 143748533, 45201766, 34088334, 84389921, 47168326, 90066112, 31043805, 85673659, 21147669, 52710880, 70712698, 13784895, 19490018, 9919743, 41163899, 28206469, 547060, 23580742, 109689335, 125247213, 28262806, 98787651, 14539178, 26854428, 926408, 10632330, 124994686, 84387194, 18469628, 26014536, 84385446, 6903960, 63270843, 74241463, 29246001, 127577369, 74767847, 60422528, 82721387, 43117440, 35379752, 1465693, 57173112, 45454837, 871886, 77986125, 21907393, 851726, 11128502, 62886761, 128499382, 104330210, 11856924, 45305325, 28584028, 142157452, 156856293, 2203688, 4062897, 73122758, 51068483, 24766906, 93680837, 115619223, 23136344, 83420987, 65859679, 9535770, 73828439, 28854300, 7492623, 53375586, 19222845, 20286424, 60525798, 197894130, 43573138, 307760089, 59239565, 80606429, 79870237, 64410245, 79422532, 121112652, 136739244, 47583747, 43313435, 35164341, 17299405, 31533926, 32361956, 108892514, 4491017, 12780855, 77874438, 60428375, 9219250, 91154044, 74270278, 51613150, 67476139, 6464083, 35781802, 102807686, 49757387, 81110458, 27444927 ], [ 6925873, 37049060, 18919688, 27543629, 62500679, 7829423, 29738778, 24077093, 47429823, 16677736, 11836062, 34518685, 9377615, 39175709, 55628023, 21736456, 16975223, 28284355, 5524917, 477735, 29984501, 159771125, 16621108, 7375093, 15072477, 47168326, 9823384, 31043805, 85673659, 21147669, 23266227, 19256234, 30480996, 1422517, 9919743, 15893949, 71870895, 52916695, 30085139, 7122117, 122282160, 124550739, 32841692, 41882169, 64054485, 5564078, 3890878, 459578, 27658597, 19770089, 26014536, 48655344, 6903960, 34223412, 23663798, 10654555, 103045746, 80542162, 11163758, 33823205, 68865383, 31895346, 33395442, 4081438, 35286264, 26113334, 74689502, 3934247, 16242110, 11128502, 27757256, 107734578, 104330210, 6787830, 180962970, 90522764, 48982349, 19799296, 1398380, 26225179, 142242531, 13314454, 24766906, 168207658, 7835358, 23136344, 119891652, 124724640, 75863368, 73828439, 28854300, 7492623, 33788022, 19222845, 43431043, 5229812, 29930575, 43573138, 7530072, 39532736, 9590558, 19545230, 12046729, 92918091, 48698374, 72541170, 150515002, 141103902, 25598930, 57628305, 11402965, 75624451, 42207456, 933690, 12780855, 38166680, 3207842, 58715113, 39902837, 94962878, 146416411, 16308957, 6464083, 18538359, 72498629, 166270172, 64737594, 48756787 ], [ 52978092, 79257412, 40672129, 238317939, 18044044, 82197466, 132516232, 10728620, 8977093, 22783534, 33741451, 74243328, 44710550, 174118816, 19459043, 21034128, 35635354, 50208565, 54252897, 91072366, 48711811, 75952913, 54507159, 34088334, 12130458, 3571107, 233632352, 46274253, 19995754, 21147669, 34202976, 20355474, 92420806, 84314686, 9919743, 126735054, 28206469, 39566957, 23174927, 50595135, 63565705, 74514401, 98787651, 14539178, 152366056, 83161244, 22487531, 33027000, 72982258, 18469628, 2550892, 10030682, 6903960, 168794042, 17366602, 110494710, 62455482, 22511935, 14648640, 68534177, 68865383, 34422962, 80030330, 15008321, 234724909, 26113334, 107754139, 20876282, 72751226, 11128502, 208179951, 107734578, 104330210, 11856924, 36177825, 28364330, 142157452, 62078491, 95255415, 108979105, 264585662, 87457824, 24766906, 93786696, 132605470, 23136344, 136229820, 143590005, 85715657, 10678242, 15208981, 7492623, 15273634, 19222845, 97838497, 41890287, 35212484, 43573138, 142714957, 51031601, 187128835, 79870237, 64410245, 51432934, 121112652, 246766272, 160122026, 43313435, 35164341, 57628305, 31533926, 35473449, 33613285, 4491017, 12780855, 77874438, 14187457, 9219250, 1231057, 77706648, 72384762, 67476139, 85358323, 47656435, 106926251, 29646304, 32505446, 8385885 ], [ 42188445, 97085922, 48353632, 453750, 102196809, 753563, 8619190, 10728620, 10219580, 156759484, 33741451, 20146360, 74597971, 88799340, 2130868, 8604885, 8314269, 50208565, 19257743, 113435144, 36570564, 32527896, 54507159, 4685538, 17027986, 47168326, 60375896, 46274253, 16485353, 9811063, 2802424, 29057547, 13784895, 19490018, 4133651, 7681264, 3361707, 59540392, 7382445, 42141410, 50211574, 30644124, 103623719, 38809696, 20220556, 181581527, 10632330, 11190101, 24383813, 18469628, 4605750, 1424153, 62915315, 128477812, 74241463, 13802806, 41223127, 22458074, 11092491, 47555846, 20292690, 72695980, 67308324, 17485048, 119783, 35065222, 110304335, 20876282, 16575917, 11128502, 48265236, 104722467, 20464765, 12467909, 115657414, 76258876, 2159615, 90102240, 79283957, 41865652, 34174321, 16603011, 24766906, 51233066, 96629594, 4804257, 47933954, 23820794, 52984891, 31301655, 28854300, 9079603, 35744754, 19222845, 25784813, 5229812, 29930575, 43573138, 194911916, 32328827, 102368604, 10126458, 64410245, 71066215, 89286899, 27591677, 52719948, 30623069, 29907715, 17299405, 8198026, 29775993, 18456804, 6531870, 9246031, 2138343, 57870185, 9219250, 3198598, 11442245, 34555518, 47139782, 6464083, 64185539, 78854301, 25100074, 73978564, 4334444 ], [ 36165227, 97085922, 124095994, 80487212, 136245013, 7829423, 81080095, 5949103, 102911355, 131323303, 151853792, 161901466, 71615469, 308190498, 50053741, 339920303, 17741477, 406213312, 99311669, 94984989, 103579301, 46042705, 48133062, 34088334, 84389921, 200747968, 16674892, 266029626, 101942445, 68414272, 32318278, 286490774, 66158977, 237585843, 9919743, 107832548, 363853877, 312192286, 158482362, 101321538, 321076171, 39668587, 98787651, 504386501, 62993873, 72681927, 346436156, 145062040, 152861489, 224854834, 115874842, 132918258, 172143599, 41555435, 156207902, 221675253, 48212736, 49122919, 203665869, 108112636, 2470016, 163526627, 166247101, 240335432, 745699, 152204219, 225531864, 277450197, 95482516, 271871478, 111359033, 154347737, 73522015, 18111354, 432979246, 116247650, 305914062, 460964160, 44841138, 220942899, 82797508, 51068483, 93224471, 26791723, 228060825, 23136344, 134580896, 143590005, 52984891, 139946616, 98676570, 5672550, 382449774, 312199150, 38538579, 5229812, 397986618, 43573138, 155275100, 32328827, 458518823, 353624885, 270654622, 112236543, 265958825, 134518649, 24493002, 211062967, 35164341, 94194490, 139138358, 126464706, 108892514, 194919342, 102739674, 77874438, 123359600, 89312884, 39902837, 86263824, 105648214, 321151116, 142662399, 78707398, 62547840, 41984020, 86532592, 618816607 ], [ 24568957, 13262061, 26399766, 27543629, 71028686, 7829423, 54149084, 130453420, 65066654, 169576061, 23414985, 28429720, 71615469, 50091355, 36634874, 158925402, 27693355, 77188059, 2576077, 9669519, 159244361, 80782010, 15394990, 227565157, 17271424, 455495, 1156155, 19528142, 4139590, 9811063, 145809542, 9423297, 69242502, 75366654, 9919743, 100200947, 30742262, 27492701, 86884185, 26723723, 11142073, 26317362, 5403274, 109583958, 48619031, 8738751, 25188003, 17228063, 58222733, 60216930, 26014536, 10030682, 1400950, 28863318, 98129014, 13802806, 128300246, 11778188, 14648640, 47555846, 35213388, 4743859, 40716085, 36769191, 90012735, 23458859, 23660337, 11729070, 23333317, 8937545, 27213168, 61897468, 26179740, 60270550, 137897006, 29962433, 164224496, 193123575, 19353368, 19249411, 29628405, 19618925, 154022382, 81020012, 7835358, 23974405, 4519966, 3931046, 39498949, 73828439, 1357031, 7492623, 77740221, 19222845, 114977052, 68198898, 113461032, 33673721, 114793140, 81208466, 18657994, 22447868, 54855577, 132992065, 29603894, 115582686, 1030147, 43313435, 26093144, 328108183, 26595740, 30399646, 47260902, 24390536, 43036461, 37966319, 14187457, 9219250, 24346444, 11442245, 32182005, 63308079, 142662399, 78707398, 62547840, 142619239, 13486249, 1406978 ], [ 6925873, 13262061, 40672129, 15538955, 25910147, 42600000, 54149084, 24065146, 47429823, 77985592, 23414985, 74243328, 13688128, 39175709, 87025702, 59170089, 21648735, 47546757, 2576077, 25067792, 1549220, 142843678, 54507159, 34088334, 33926751, 455495, 2279424, 31043805, 4139590, 21147669, 33305039, 29057547, 40875051, 15044073, 14547563, 22598478, 48222143, 27492701, 166806882, 26723723, 36108440, 7658704, 49905013, 116247633, 127645131, 12150853, 25188003, 65578132, 84387194, 26018692, 26014536, 10030682, 15119195, 7804284, 17366602, 86751626, 62931609, 13567260, 14648640, 16330527, 64124675, 92347019, 171273, 48164330, 128747422, 23458859, 23660337, 111905027, 23333317, 11128502, 27213168, 5671196, 128609467, 20330484, 11086040, 121578235, 142157452, 266212976, 10845223, 19249411, 76332171, 19618925, 24766906, 34322076, 75852891, 23136344, 4519966, 19846673, 12596429, 73828439, 90594670, 76512604, 53375586, 19222845, 97838497, 5229812, 35212484, 33673721, 110766261, 81208466, 54147679, 79870237, 46124803, 2842731, 18629613, 67723193, 86793653, 37166434, 35164341, 2095714, 38284880, 86645591, 1957091, 15592437, 43036461, 22898326, 14187457, 116940943, 39902837, 11442245, 9391604, 67476139, 95492493, 78707398, 74621554, 35883833, 5733413, 129357074 ], [ 39933620, 31794376, 19403589, 80487212, 136245013, 7829423, 17837375, 62925511, 20429613, 46572337, 26369396, 74243328, 71615469, 3626888, 60154097, 123813419, 80145403, 87578813, 70236000, 56392526, 69861726, 7191698, 54507159, 34088334, 101437440, 43176167, 16674892, 46274253, 4139590, 9811063, 3901026, 67516099, 36743817, 1782654, 9919743, 100200947, 22803607, 28571661, 3477864, 1858135, 35664623, 114069360, 98787651, 2285767, 37029892, 64278868, 93413578, 5528881, 61156126, 85786520, 111220752, 86665551, 57681202, 104461409, 16043503, 13802806, 42397331, 49122919, 14648640, 28652780, 10098227, 145633933, 34900825, 48164330, 37575203, 23458859, 51901313, 4267729, 106587229, 11128502, 7997059, 134418637, 2585693, 60270550, 144697420, 34099829, 67223468, 182438260, 29617518, 14473317, 54988874, 176068714, 14834384, 10467512, 4606297, 23136344, 77153737, 62301821, 48669013, 73828439, 115421573, 7232315, 26998583, 19222845, 15272083, 69265953, 26063013, 33184206, 8716621, 81208466, 41376123, 1121340, 30834064, 25759007, 34483389, 45561590, 102658799, 43313435, 20953012, 63829230, 17641532, 18245555, 37852132, 3457816, 40424233, 77874438, 14019941, 9219250, 24346444, 8414940, 43942944, 30813633, 8317162, 78707398, 62547840, 11817334, 54663602, 6315096 ], [ 17629754, 52344162, 113505080, 52425886, 90407784, 7829423, 81223123, 91366165, 23738072, 47270693, 151853792, 28429720, 19463265, 70896706, 27208419, 51959001, 27300372, 2474606, 68667659, 24655691, 29984501, 18110608, 54507159, 34088334, 13014430, 2475601, 16674892, 69766295, 67213595, 77335567, 32318278, 8067203, 40148963, 30579412, 79765434, 45195048, 204818229, 76540201, 3477864, 132023648, 37678536, 30692901, 56513955, 124972417, 24774833, 67108161, 133729292, 145062040, 34271803, 74652753, 26014536, 87331021, 12463154, 256787002, 317852, 221675253, 87289064, 160752481, 14648640, 28456691, 192823254, 6417839, 33395442, 48164330, 146809914, 4770883, 40681939, 4267729, 163198850, 11128502, 47613840, 114889825, 39437598, 99746601, 3968109, 34099829, 461875810, 75207112, 95255415, 79559230, 1035046, 175943498, 11914058, 10467512, 26850711, 23136344, 38791507, 62683917, 29391245, 73828439, 1357031, 52875576, 26998583, 2279026, 62289908, 5232805, 49803073, 43573138, 17408166, 65045025, 23271493, 79870237, 64410245, 158975256, 72897046, 215482462, 14861593, 84197366, 20541419, 63829230, 26595740, 203504414, 17980645, 3457816, 19169939, 1778507, 14187457, 4956964, 227765504, 137020894, 7111241, 18566907, 87110961, 78707398, 26256355, 144915952, 100861008, 1406978 ], [ 234390593, 75366620, 34152742, 64834769, 136245013, 34742091, 81223123, 281574122, 11568794, 523543400, 136486186, 221833430, 71615469, 124482417, 57273016, 4605955, 95678579, 125421479, 212393974, 131129715, 29984501, 529249463, 54507159, 1526538, 17365173, 285087, 16674892, 31043805, 4139590, 21147669, 32318278, 25225985, 117146760, 317132300, 9919743, 107832548, 277657016, 128403273, 47056996, 357432652, 84339796, 179412509, 84011763, 172182099, 48619031, 181581527, 191320393, 105408129, 84387194, 124960706, 26014536, 23922751, 194051404, 67955405, 2219404, 221675253, 98081537, 49122919, 239623938, 15659086, 416883383, 70840572, 33395442, 94503943, 252207127, 42677988, 13261812, 146382436, 143366853, 116942497, 47738403, 71702004, 118295379, 60270550, 98752482, 191921736, 57333265, 31284833, 151863899, 19249411, 22868786, 26621193, 308634883, 150287002, 92400475, 23136344, 134580896, 143590005, 317661193, 146610478, 119485024, 7492623, 53375586, 56307543, 62289908, 5229812, 18898906, 43573138, 163625834, 187871001, 269178695, 183053319, 27273932, 219651040, 43882844, 39897820, 14934828, 52094580, 35164341, 94194490, 148806342, 42985237, 108892514, 3457816, 303024978, 77874438, 123359600, 124631323, 2818287, 36276410, 95937988, 229862691, 3439122, 78707398, 62547840, 105694460, 54663602, 45131165 ], [ 1420552, 61406055, 1670534, 22543064, 33277103, 7829423, 21899217, 270301331, 54056093, 72129829, 22907577, 60052903, 71615469, 89736295, 57273016, 34146926, 112610885, 78097557, 29159332, 50333601, 25190317, 41601143, 54507159, 548401, 37152414, 285087, 67992582, 46274253, 45239318, 1185873, 74237613, 25225985, 40148963, 92938610, 9919743, 107832548, 188974007, 55837967, 9985536, 57103513, 1692936, 10259202, 4528959, 119808542, 28641480, 44114447, 29968857, 56686368, 123076790, 2414303, 37319124, 30257612, 160574062, 62247860, 17366602, 86751626, 24442330, 36590580, 23757037, 32940326, 64474081, 91100440, 46877904, 139914702, 284746760, 4770883, 76549229, 3934247, 1713226, 11128502, 35910822, 134418637, 10258276, 16099353, 120549852, 5923135, 69710786, 13128975, 136462865, 1468693, 73122758, 180617129, 11914058, 67092251, 107279386, 23136344, 64635100, 84534261, 34164230, 25591598, 81626395, 7492623, 8702321, 19222845, 62289908, 5229812, 59081645, 15323433, 93648340, 118259672, 111311857, 79870237, 21893811, 139840833, 19451382, 54920280, 160122026, 11886572, 12821873, 13010805, 30781213, 20229549, 17980645, 1164866, 166005035, 22727121, 82120462, 9219250, 39902837, 7574241, 38333898, 67476139, 85358323, 12121716, 23136354, 51706520, 34395922, 10498243 ], [ 6925873, 111884283, 43139594, 170800397, 136245013, 117181016, 41897762, 92093921, 11338106, 14650532, 116056622, 17470031, 135696484, 39175709, 232818513, 210840505, 34526901, 77252403, 116261391, 28941804, 29984501, 116006787, 48133062, 34088334, 79409986, 2475601, 40000025, 201226634, 67213595, 115860920, 98652088, 30479417, 24847453, 121975279, 22427269, 22598478, 15948992, 175444902, 109868081, 21690663, 85422202, 17280545, 186424101, 109583958, 92458614, 10151165, 96064311, 5528881, 106526601, 26574046, 26014536, 105897968, 39235449, 1044045, 17366602, 10654555, 70054843, 61674512, 14648640, 31897130, 356072434, 146962618, 33395442, 47980771, 124138703, 11988064, 16328147, 58765593, 63046026, 2465021, 81048222, 150429751, 114639029, 226086838, 105449809, 29962433, 229399870, 62078491, 16064167, 58152767, 86660934, 48006655, 187060446, 26791723, 44399837, 23136344, 131190754, 45723755, 35901352, 138806871, 24594983, 51077456, 23401976, 19222845, 97838497, 177986462, 35476009, 14810971, 114793140, 101399682, 147191683, 79870237, 22173503, 33373381, 80900916, 246766272, 100143768, 11886572, 35164341, 3674981, 8198026, 344513851, 93898343, 13069568, 15882741, 77874438, 14187457, 26257979, 88814411, 51565532, 7805551, 54314133, 183488793, 78707398, 11770568, 34901037, 15170477, 8385885 ], [ 297616339, 30575981, 54517081, 170800397, 90407784, 7829423, 17837375, 99774050, 47429823, 111941412, 151853792, 28429720, 24388200, 307610120, 265351295, 51959001, 98507634, 148363555, 40700961, 138673085, 16841182, 46042705, 48133062, 1526538, 119595257, 285087, 16674892, 8874972, 85673659, 21147669, 3901026, 186773530, 111944417, 1782654, 9919743, 151089342, 22803607, 57957112, 105263019, 194479144, 130175016, 39668587, 49905013, 124972417, 141293504, 181581527, 46963576, 11190101, 102949115, 140828493, 26014536, 87331021, 138726360, 17828803, 16043503, 30363827, 24442330, 32067926, 14648640, 108112636, 192823254, 10313046, 13871003, 48164330, 154758600, 132846232, 40681939, 87708302, 115528334, 11128502, 7620044, 134418637, 190515118, 272079305, 202141209, 116247650, 102379820, 43988455, 95255415, 108979105, 334235957, 156045941, 24766906, 26791723, 50496222, 23974405, 143989921, 84534261, 36523646, 73828439, 1357031, 7492623, 138770330, 3492989, 62289908, 105860579, 35476009, 43573138, 228022515, 32328827, 146751926, 90103747, 64410245, 28666453, 19451382, 215482462, 14861593, 145603465, 20953012, 63829230, 26595740, 152283894, 108892514, 3457816, 184373931, 1778507, 14187457, 84967719, 162226585, 22717768, 43942944, 18566907, 142662399, 78707398, 78854301, 144915952, 275393697, 158189237 ], [ 26167352, 16340085, 37673258, 30637130, 114432696, 7829423, 81223123, 149321583, 20229032, 121960773, 22907577, 49874935, 24388200, 97544519, 60931390, 72521502, 18518610, 35210160, 2635218, 19819750, 14124551, 120850490, 52292132, 16439853, 8151623, 47168326, 2279424, 29874794, 4139590, 21147669, 32318278, 30479417, 28190702, 15044073, 36406136, 18914570, 56163086, 6584236, 9985536, 12055564, 85422202, 1911310, 77608895, 14539178, 68961805, 8738751, 46963576, 97257504, 14193971, 26018692, 80182528, 86665551, 12789386, 52772735, 2738498, 81757132, 62931609, 57345974, 39065278, 95374567, 121414083, 35379752, 33395442, 15008321, 28719645, 4770883, 40681939, 11729070, 50326426, 8937545, 257135049, 5671196, 23881450, 11856924, 29094686, 24883461, 39663821, 60945208, 126145809, 19249411, 72730439, 28654178, 24766906, 23507974, 27261146, 572220, 9650165, 34969278, 53211673, 25591598, 69025116, 13331112, 78426205, 3492989, 97838497, 5229812, 35212484, 43573138, 142623759, 33298379, 68355763, 218835269, 57685915, 44385067, 100601120, 2904225, 10702805, 37166434, 11775402, 92632129, 31533926, 57043443, 17980645, 31420260, 31354719, 22788190, 111839695, 9219250, 39902837, 83135938, 47211406, 81292165, 31076729, 39389127, 120190482, 82075899, 54663602, 41313697 ], [ 121523626, 97085922, 40672129, 238317939, 25910147, 7829423, 81223123, 281574122, 11338106, 690850301, 151853792, 60970584, 162302188, 174118816, 17558417, 148219978, 37945346, 148363555, 108875799, 28941804, 29984501, 135970083, 54507159, 34088334, 44202744, 104214143, 311684793, 46274253, 4139590, 3396055, 173424701, 17297633, 92420806, 121922609, 37440625, 180270267, 85660278, 536658683, 354980997, 194479144, 108687630, 149196458, 175215195, 124972417, 89109842, 181581527, 191320393, 145062040, 211461577, 203833526, 26014536, 10030682, 161036725, 265554712, 81704991, 28754582, 71582267, 32691251, 366712555, 218819939, 115403208, 163526627, 33395442, 16321762, 205361818, 139221672, 110304335, 20876282, 68295644, 11128502, 140177897, 93778652, 137106915, 60270550, 20588532, 69681164, 187991663, 83060934, 50338537, 19249411, 174389897, 240350028, 496059086, 152145799, 371790041, 23136344, 192082432, 143590005, 266205993, 398751982, 12023869, 100058244, 303988846, 19222845, 108898534, 38819035, 67706453, 580959, 110766261, 135360213, 36419203, 79870237, 64410245, 167556001, 18629613, 17865720, 160122026, 26437147, 35164341, 100691373, 20732882, 201298714, 142415073, 99423535, 189606514, 77874438, 1050292, 21532160, 79851375, 83135938, 69052685, 67476139, 85358323, 78707398, 281719301, 86728952, 54663602, 8385885 ], [ 76992290, 28072937, 9024081, 74511019, 33277103, 48019938, 24141693, 100209077, 8054186, 49633329, 96559793, 17470031, 8799657, 61896739, 57273016, 21736456, 7619152, 44778422, 36161704, 40299525, 29984501, 46042705, 54507159, 548401, 8151623, 2475601, 9823384, 46274253, 10837950, 21147669, 47253721, 30479417, 129614844, 90961544, 101021967, 15893949, 85660278, 55837967, 39196081, 28562941, 11142073, 7658704, 114412716, 93323456, 87299987, 37449118, 46963576, 5528881, 125998558, 31107945, 26014536, 77325124, 4386949, 13392175, 74241463, 89522733, 179471924, 7865970, 14648640, 32460033, 167537400, 49153403, 10979973, 6921616, 758187, 8767110, 70797506, 20876282, 26639915, 11128502, 3837077, 104722467, 32407663, 81311606, 20588532, 76258876, 142157452, 25369199, 19353368, 26225179, 63622372, 37918138, 24766906, 9119735, 32264089, 23136344, 13484818, 143590005, 48669013, 40672145, 180667505, 86055727, 8702321, 19222845, 77301554, 74175936, 792451, 15323433, 8006431, 9350717, 141873989, 44820657, 64410245, 2842731, 22397790, 35033547, 40607043, 173777411, 35164341, 48503409, 8198026, 240288566, 1250663, 43438306, 65856167, 71561743, 14187457, 53702071, 41135632, 51565532, 32182005, 39880734, 4875068, 78707398, 81256842, 14470948, 30425695, 23668957 ], [ 31298998, 59300341, 38302858, 71004110, 39302411, 7829423, 108092179, 49062442, 47429823, 34560570, 119367130, 24166780, 71615469, 37433665, 16196373, 89913439, 10545885, 172427112, 6714184, 256742779, 9367199, 106274149, 54507159, 233575, 15072477, 17085234, 103976012, 46833787, 10837950, 21147669, 92691441, 70712698, 111407, 19490018, 9919743, 32744170, 89979232, 33093107, 9985536, 37153598, 92260806, 124550739, 98787651, 114315668, 26152465, 10151165, 8899107, 4596287, 81479756, 42210063, 68774826, 87331021, 15067617, 49755262, 2738498, 11735842, 87289064, 109143551, 11163758, 50332865, 10621390, 71369223, 48014926, 66804025, 41179422, 4770883, 131606927, 33233114, 94420609, 11128502, 54649914, 3453250, 2585693, 12467909, 15721982, 56833268, 42363566, 184275910, 77830131, 26225179, 90872624, 19213264, 24766906, 128254842, 23026135, 12526600, 49221285, 34969278, 4808035, 73828439, 28854300, 7492623, 23401976, 19222845, 20286424, 27356758, 45585018, 5567090, 22583067, 81208466, 38933753, 64147911, 22173503, 19316330, 34907452, 66126466, 130552723, 7617984, 34221970, 107671626, 31533926, 18245555, 17980645, 29685076, 23536374, 313162, 29906894, 99116131, 114234826, 94962878, 694292, 9601057, 6464083, 3053059, 5101138, 29306247, 37911299, 85210139 ], [ 22881606, 97085922, 91521943, 4982352, 83464253, 7829423, 134589743, 265527414, 47429823, 280084584, 151853792, 55136879, 4691642, 274410428, 100693972, 290420617, 98507634, 214824516, 29159332, 347643152, 16841182, 529249463, 54507159, 345941384, 14849280, 47168326, 16674892, 19528142, 4139590, 21147669, 17570951, 93437508, 130629805, 473049460, 118400925, 107832548, 80369532, 63631160, 218525559, 161532737, 146397292, 10259202, 49905013, 124972417, 84671447, 181581527, 2870098, 40785375, 116687584, 102123788, 372591520, 132918258, 90732069, 54511595, 74241463, 221675253, 169263295, 49122919, 357236607, 108112636, 133342027, 10313046, 111701824, 317560233, 296814562, 39487578, 131606927, 121768665, 130858868, 11128502, 7620044, 502230935, 216625695, 60270550, 176015694, 116247650, 15803421, 63193423, 53243653, 19249411, 260123300, 156045941, 24766906, 531061205, 126310621, 169104979, 134580896, 142349971, 66803378, 166889155, 23194027, 114032897, 443929535, 19222845, 264493512, 5229812, 113461032, 43573138, 3809153, 313584214, 30869059, 79870237, 64410245, 114835017, 2199822, 821628438, 160122026, 195167389, 35164341, 94194490, 66908106, 66045757, 190606307, 79755213, 25819622, 77874438, 79868961, 84967719, 39902837, 7574241, 173076448, 67476139, 142662399, 78707398, 62547840, 156580302, 54663602, 158189237 ], [ 30931129, 90161977, 67931810, 52262630, 136245013, 7829423, 87886147, 99774050, 74851581, 411565755, 136486186, 49874935, 24388200, 39131541, 36634874, 71167525, 153004732, 58008113, 40700961, 46032413, 75296911, 46042705, 54507159, 34088334, 282277302, 15344011, 16674892, 101308589, 4139590, 21147669, 32318278, 9752379, 40148963, 283392612, 9919743, 107832548, 59625208, 68616002, 105263019, 57103513, 126088951, 39668587, 95521985, 124972417, 1351015, 64377952, 93413578, 145062040, 93708385, 147982748, 26014536, 12651377, 33193090, 397500291, 55289039, 30363827, 71430383, 88859623, 14648640, 15659086, 21573351, 24647788, 166247101, 48164330, 116251828, 9567324, 40681939, 21907393, 69082405, 11128502, 206401719, 93778652, 49924645, 60270550, 186444046, 69681164, 39663821, 22464142, 86746536, 12573529, 5989126, 28654178, 11914058, 2390951, 6163357, 23136344, 107412209, 122981847, 52984891, 89974958, 40968224, 7492623, 181336563, 3492989, 77420654, 5229812, 49803073, 20716534, 272014843, 32328827, 376421936, 1121340, 64410245, 340537061, 112890274, 14911725, 94349088, 55492560, 12821873, 13010805, 43644912, 152283894, 55099489, 109324734, 28771883, 77874438, 14187457, 102939033, 39902837, 83135938, 43942944, 21215426, 32696832, 60554761, 113887119, 144915952, 17418989, 114131240 ], [ 63235793, 22529708, 213557621, 157120283, 136245013, 7829423, 123781816, 99576300, 11338106, 220623109, 42493755, 17470031, 71615469, 70896706, 220839074, 39070086, 148249129, 68281884, 51287163, 117967554, 1887686, 145346425, 54507159, 34088334, 4440032, 3834772, 41510885, 209129946, 85673659, 73464009, 90105736, 80293934, 92420806, 209947214, 9919743, 229013731, 15948992, 20623334, 26163757, 37603657, 85422202, 1911310, 98787651, 24447404, 152366056, 77234777, 46963576, 5528881, 200549697, 243276929, 103197996, 114988231, 132949902, 7804284, 17366602, 10654555, 3093796, 12270142, 32937631, 218819939, 286930493, 48287149, 22417030, 47980771, 110599999, 152204219, 21391944, 12512447, 152511139, 11128502, 140177897, 15561493, 23881450, 118429636, 20588532, 64315384, 142157452, 90102240, 145075117, 108979105, 282768583, 36038136, 24766906, 140116245, 48897944, 23136344, 6180455, 143590005, 48669013, 138806871, 142284667, 7492623, 276431221, 19222845, 15727200, 65146730, 79610975, 43184542, 272014843, 210937616, 147629975, 271429641, 37542637, 33373381, 16539226, 60881301, 47583747, 21571738, 35164341, 68078865, 82416736, 152283894, 34900327, 112432240, 15882741, 2273975, 51615701, 194763276, 10387097, 11520981, 51613150, 19332191, 23527224, 20476368, 208043842, 49757387, 15170477, 8385885 ], [ 137619460, 9559215, 68189286, 96597209, 33277103, 7829423, 43480748, 24077093, 143826383, 3752199, 54695726, 6326504, 7096868, 59370111, 49382248, 113723662, 16840119, 4526908, 63583651, 69801677, 48046939, 272255649, 624921, 34088334, 87236638, 380562168, 17218684, 159392171, 2845619, 21147669, 17721999, 113123092, 78947412, 223768801, 9919743, 4391833, 85660278, 106627686, 94938986, 194479144, 63642086, 98607082, 26544931, 124972417, 239972320, 10151165, 926184, 59537697, 31732514, 89121664, 23911754, 211062184, 78451727, 26437765, 2056129, 177120373, 101378262, 29285357, 14648640, 16330527, 123556148, 295899467, 4568008, 9887972, 2085442, 23458859, 131606927, 203122234, 36603489, 11128502, 103101737, 73698525, 164255231, 47617527, 20588532, 116247650, 60974175, 4232416, 10245669, 1081391, 246815771, 176262770, 134768680, 26791723, 100957598, 23136344, 276958357, 134674203, 69036259, 21553960, 127218529, 7492623, 8702321, 19222845, 147643874, 140188466, 67706453, 15323433, 142714957, 81208466, 60218234, 9498304, 22173503, 149101094, 69435816, 4696912, 160122026, 1636840, 35164341, 154865596, 24165866, 152283894, 62702179, 57123207, 5974056, 71561743, 14187457, 107331995, 19570202, 94962878, 7805551, 47976964, 142662399, 78707398, 58458180, 50990876, 60339543, 158189237 ], [ 153523693, 28072937, 91521943, 41770074, 136245013, 344743417, 138528454, 271224518, 45458957, 481838212, 51411378, 74243328, 129802786, 111743977, 49382248, 39070086, 4548437, 623137353, 212393974, 177851564, 115533903, 159760676, 11961387, 54813638, 9159656, 90795550, 211161081, 56582875, 15008200, 21147669, 35615106, 98355060, 130629805, 108616651, 188736107, 406693726, 118814337, 91320534, 169340685, 194479144, 25571249, 19994467, 159814100, 124972417, 119173754, 32860587, 446699390, 11190101, 211461577, 75632376, 342681811, 306207611, 207200378, 251051666, 98129014, 8497133, 24442330, 64185138, 111902017, 17090967, 281662272, 163526627, 14913740, 23951579, 25872681, 138530312, 99615705, 213521174, 14202942, 11128502, 47738403, 111857087, 44582393, 81311606, 102539969, 129627207, 1770928, 4232416, 120011528, 260903937, 334235957, 17411455, 315877796, 531061205, 305192409, 243415339, 341209521, 143590005, 298489739, 89974958, 144521274, 638583559, 26591430, 19222845, 62289908, 44916132, 67706453, 37744264, 230720224, 136658942, 158561226, 24893643, 45071515, 50019746, 19451382, 64046528, 26800161, 3824292, 35164341, 163235435, 256214843, 76713074, 142415073, 160437378, 88138403, 40457437, 48719828, 107331995, 41135632, 118754640, 240056880, 156257081, 89669858, 22672413, 14459120, 86728952, 427169284, 70664553 ], [ 52543777, 83328899, 91521943, 81674141, 25910147, 144359651, 64387108, 99774050, 153079691, 43240855, 42493755, 58519521, 48631638, 207228724, 49382248, 120649935, 49526713, 58008113, 169562297, 28941804, 48757041, 118009155, 54507159, 253590410, 63856845, 211675535, 230950448, 46274253, 4139590, 21147669, 151768208, 30479417, 111944417, 59724276, 9919743, 180270267, 85660278, 158777903, 209717285, 181409954, 61193154, 114688071, 98787651, 124972417, 175894175, 10151165, 63910709, 98960917, 65316985, 75118583, 234148689, 5918260, 161036725, 49755262, 66620332, 30363827, 55980649, 8221730, 14648640, 144726593, 116120428, 24647788, 26754289, 23951579, 571213824, 139221672, 110304335, 20876282, 136008579, 11128502, 22704879, 345390576, 43998752, 60270550, 20588532, 43624126, 60974175, 83060934, 95255415, 19249411, 45404420, 138088553, 416195074, 136339082, 132605470, 23974405, 142524783, 143590005, 35901352, 32243917, 346720232, 7492623, 23401976, 19222845, 37442672, 44916132, 44055985, 14995730, 16667125, 67173398, 376421936, 79870237, 22173503, 105830868, 18629613, 36643396, 26186589, 58570577, 35164341, 26274145, 288898239, 45602772, 34900327, 152144567, 240354627, 77874438, 14187457, 107331995, 34671892, 83135938, 7805551, 2425297, 85358323, 38907255, 60297958, 86728952, 54663602, 70664553 ], [ 48319627, 39478371, 91521943, 74511019, 33277103, 7829423, 115046075, 55032171, 10671036, 113450913, 24054309, 22597244, 8799657, 70896706, 57273016, 88603212, 18518610, 1320109, 78674232, 6868206, 226777071, 46042705, 54507159, 34088334, 8151623, 18695287, 13926601, 2566108, 4139590, 21147669, 111325205, 17945446, 130629805, 179107688, 9919743, 145729375, 85660278, 904925, 31497343, 26723723, 36108440, 27522825, 98787651, 124972417, 152088384, 26112133, 123460089, 11190101, 47740314, 85786520, 26014536, 37458820, 12789386, 28863318, 19552087, 232333232, 87289064, 7865970, 125964894, 69663798, 3042389, 4583261, 1273891, 208369184, 79298171, 152204219, 110304335, 17338867, 50326426, 11128502, 22704879, 154347737, 43998752, 60270550, 20588532, 116247650, 92099294, 168099567, 24397799, 19249411, 19394570, 629887, 3450763, 29459116, 61609566, 23136344, 55063471, 10724484, 3572918, 5080235, 36434257, 7492623, 8702321, 4013718, 260037540, 54785736, 113461032, 15323433, 185805244, 32328827, 149056686, 132028190, 32384959, 28107, 283671, 115582686, 261353983, 43313435, 19219506, 69673349, 31533926, 152283894, 108892514, 259420844, 239417340, 71561743, 64456563, 1456033, 19980589, 83135938, 45827954, 76350134, 17832662, 117079825, 43127675, 45568316, 35388483, 53692391 ], [ 60611780, 36135887, 9024081, 42141325, 25910147, 7829423, 40798206, 105777460, 71474924, 65059950, 52288649, 69354034, 11184496, 8339888, 50053741, 141913859, 3055130, 10053466, 51287163, 29461190, 17088587, 46042705, 53566791, 6599394, 4836413, 12564057, 120466720, 29390124, 4139590, 9811063, 50069238, 48525486, 109662639, 32358405, 6965421, 22598478, 85660278, 13704278, 110155120, 26723723, 36108440, 21288678, 69677418, 93323456, 23664453, 72093546, 67998566, 98960917, 18581184, 14179075, 117200114, 37458820, 12789386, 11660676, 28089235, 13802806, 15895157, 6044690, 14648640, 70766051, 116120428, 25450069, 38504136, 48164330, 25872681, 4429395, 6646664, 12512447, 36603489, 11128502, 19101769, 76143247, 11194185, 27358467, 9308602, 1314150, 153599185, 4232416, 50338537, 12274421, 49042019, 19377587, 252740735, 1567244, 32908317, 23136344, 40555108, 5846347, 46250371, 10208794, 20802, 7492623, 15382570, 30062590, 15727200, 5229812, 8967675, 23034795, 16667125, 7713455, 75753350, 16133103, 1219840, 43681138, 15798931, 50750454, 24493002, 21571738, 57568483, 48503409, 8198026, 1262044, 1250663, 140304729, 9770278, 43110426, 14187457, 31934816, 24346444, 51565532, 27055316, 2425297, 142662399, 4241466, 2683589, 1832243, 47959539, 59881781 ], [ 87733816, 39478371, 91521943, 214443438, 89648487, 7829423, 81223123, 84990941, 22769707, 65059950, 5032796, 74243328, 71615469, 19319806, 54450694, 324917727, 77397723, 44778422, 8552619, 29461190, 29984501, 342428709, 54507159, 75375237, 31517016, 37301196, 141821638, 2566108, 4139590, 13600392, 17574236, 48525486, 107389372, 125462607, 9919743, 96128725, 16030056, 206894540, 50111546, 14136878, 7991614, 27522825, 16406290, 122796137, 26959355, 57317810, 13451784, 127193902, 16045689, 28434282, 26014536, 67066573, 62444139, 13392175, 19552087, 93928787, 75770217, 71019915, 14648640, 16330527, 3042389, 51290882, 33395442, 12197004, 123076301, 34294792, 131606927, 12512447, 1140251, 11128502, 91892801, 40089938, 11194185, 60270550, 20588532, 65589732, 79863692, 10226322, 35570396, 19249411, 38989920, 19377587, 24766906, 67433929, 23976798, 21343236, 143989921, 55240348, 42527030, 5080235, 62491484, 7492623, 46605346, 19222845, 9963648, 71338643, 9904138, 43573138, 26411500, 7713455, 13217, 45667605, 26997270, 28107, 80779588, 35416948, 90322317, 7617984, 11261624, 254881093, 808038, 47165842, 1250663, 20434814, 157498963, 77874438, 14187457, 9219250, 18050038, 11520981, 46845085, 20750769, 81708627, 203657191, 153912650, 1832243, 13486249, 46675869 ], [ 133767379, 83328899, 113505080, 9764921, 136245013, 7829423, 59080409, 165237099, 47429823, 111941412, 293018423, 7335987, 71615469, 19319806, 100320827, 208575688, 76141940, 44778422, 34562533, 281704874, 48757041, 174630555, 54507159, 68051418, 33926751, 18695287, 30126758, 8874972, 51359057, 83593269, 159455597, 28857644, 130629805, 187666223, 9919743, 180270267, 85660278, 27492701, 825192, 109689335, 213743451, 478111685, 49905013, 124972417, 26959355, 10151165, 14701821, 36292908, 3178035, 26574046, 27794976, 286050409, 161036725, 49755262, 47110452, 526434253, 55170009, 6044690, 14648640, 95076704, 307381591, 163526627, 13333240, 48164330, 28367226, 152204219, 110304335, 20876282, 123045687, 11128502, 140177897, 103903037, 60675137, 3573302, 20588532, 116247650, 46540082, 71500726, 10845223, 27824878, 197780416, 82282493, 24766906, 23805687, 43412957, 23974405, 61441404, 3340509, 39498949, 82618993, 1514068, 1682113, 23401976, 19222845, 218188754, 92670162, 9904138, 43573138, 169212692, 30702354, 25788777, 79870237, 22173503, 96206678, 46257689, 35416948, 95705499, 11886572, 71830471, 26274145, 342842880, 152283894, 22799841, 75433598, 41831832, 77874438, 14187457, 9219250, 66275478, 87854678, 7805551, 38005380, 85358323, 210475556, 106760522, 476967306, 209936479, 82023210 ], [ 49217202, 85613307, 1507454, 232147243, 136245013, 7829423, 8071153, 9756093, 11338106, 86337356, 86919010, 28429720, 4691642, 27480060, 124769759, 39070086, 124109778, 148363555, 184274621, 125072784, 115533903, 95176868, 54507159, 126996842, 86871951, 2475601, 16674892, 8874972, 4139590, 21147669, 32318278, 202654045, 92420806, 87165053, 9919743, 151089342, 154444328, 27266880, 123466888, 194479144, 5403292, 178476936, 84011763, 124972417, 152366056, 111627459, 104014806, 98960917, 102949115, 223778508, 26014536, 87331021, 71696256, 222776314, 47110452, 34775875, 24442330, 49122919, 14648640, 15659086, 62117633, 3251124, 166247101, 48164330, 284746760, 35065222, 131606927, 11729070, 136008579, 8937545, 47738403, 148214483, 231298792, 10346753, 57528722, 41052102, 307688802, 148463367, 95255415, 19249411, 73122758, 33612121, 181872528, 13973707, 94396060, 23974405, 9360866, 60524403, 223189329, 73828439, 1357031, 7492623, 144311745, 19222845, 62289908, 113269742, 100435004, 43573138, 170500327, 164773481, 214604120, 62019042, 64410245, 192354901, 19451382, 251578095, 99340684, 89932582, 32829942, 92002633, 26595740, 79686694, 108892514, 86512405, 41599599, 2138343, 14187457, 92925563, 130972213, 83135938, 20933357, 67476139, 111322534, 85565421, 62547840, 147800074, 54663602, 8385885 ], [ 181023759, 39478371, 16272488, 91233198, 85942482, 7829423, 54149084, 240790289, 47429823, 30600604, 24054309, 55136879, 71615469, 13037959, 57273016, 158506638, 40855158, 10053466, 14248063, 6868206, 17088587, 28311486, 54507159, 34088334, 4836413, 47168326, 49802944, 289973933, 4139590, 21147669, 50069238, 29057547, 111546882, 14073506, 9919743, 100200947, 3361707, 90589342, 103651071, 194479144, 56845272, 21288678, 13827705, 124972417, 127645131, 57317810, 25188003, 145062040, 17197968, 10322221, 26014536, 72386568, 65280390, 67955405, 19552087, 12053254, 69399563, 66324518, 5763419, 34069127, 3042389, 138403496, 33395442, 48164330, 116462308, 51402350, 23660337, 37008520, 111536318, 1346686, 65080746, 61529350, 73092170, 26665905, 36556096, 29962433, 9009455, 39305381, 47259960, 1081391, 89269649, 629887, 3043435, 56691302, 164973595, 23136344, 47933954, 121374434, 42527030, 5080235, 187539133, 7492623, 18179967, 19222845, 48840828, 19719059, 113461032, 43573138, 8006431, 55650833, 37460249, 9498304, 57492618, 28107, 139264894, 4696912, 52774061, 30623069, 22156805, 106480984, 31216632, 152283894, 108892514, 184021976, 43036461, 226901, 14187457, 134045925, 19980589, 11442245, 202562454, 3131611, 123122643, 1050254, 129515953, 45568316, 35388483, 35772956 ], [ 133767379, 25627318, 91521943, 68418864, 92286282, 83086094, 123781816, 35941374, 47429823, 71013518, 42493755, 74243328, 36188612, 59370111, 49382248, 21736456, 18518610, 172427112, 51287163, 28941804, 48757041, 18529270, 48133062, 27454299, 8151623, 43176167, 9823384, 75995835, 36979083, 9811063, 36342808, 28857644, 130629805, 120989005, 9919743, 15893949, 15752055, 253950795, 65235045, 166467915, 161630182, 5719078, 98787651, 53333722, 7150152, 47556613, 46963576, 145062040, 3178035, 87582220, 7124522, 86665551, 12789386, 67955405, 74241463, 13802806, 24442330, 8221730, 38478205, 16330527, 64474081, 21305621, 13333240, 47980771, 89603104, 8767110, 37979439, 85464298, 50326426, 11128502, 22704879, 16121748, 26179740, 108657774, 20588532, 157144242, 5092162, 66717534, 145075117, 21767430, 45404420, 10158467, 24766906, 26791723, 173920476, 23136344, 55163514, 143590005, 15787228, 73828439, 207822577, 7492623, 7037107, 19222845, 39110559, 104997302, 32358027, 43573138, 8006431, 32328827, 52137348, 21765968, 48012882, 46975680, 19451382, 36643396, 31352767, 145603465, 35164341, 106480984, 9123665, 83635721, 22799841, 229925644, 88138403, 40457437, 64456563, 26950644, 656225, 11520981, 10094996, 48830839, 48791520, 19297107, 42718389, 27292042, 99895194, 72450620 ], [ 6925873, 22529708, 57791115, 3203906, 136245013, 7829423, 11334436, 24065146, 11338106, 3752199, 24054309, 17470031, 7096868, 39175709, 57273016, 49753457, 18518610, 148363555, 51287163, 25950994, 14201346, 28666269, 54507159, 34088334, 8151623, 2475601, 33382862, 201226634, 85673659, 7074274, 69540159, 30479417, 92420806, 14224308, 9919743, 6019223, 64942825, 111646838, 49503019, 8249524, 85422202, 27522825, 98787651, 94848182, 45282283, 1403991, 46963576, 33027000, 333165226, 8700960, 23911754, 35578335, 12789386, 21139736, 8478774, 29246001, 32674386, 29285357, 58771131, 8475817, 116120428, 146962618, 10055390, 15605655, 102477214, 89133349, 4982827, 12512447, 9998005, 11128502, 35910822, 104722467, 95055801, 60712403, 33384915, 5923135, 9009455, 42159915, 79283957, 6828011, 1842598, 73455007, 24766906, 36315580, 7094299, 23136344, 154897329, 13271451, 36523646, 5080235, 119463951, 7492623, 23401976, 19222845, 15727200, 5229812, 2837940, 30023839, 8006431, 32328827, 138193814, 79870237, 22173503, 42464866, 46078895, 54198159, 47583747, 21571738, 35164341, 52746721, 31533926, 86645591, 38001506, 94364001, 93419607, 9524705, 91789071, 21532160, 39902837, 22717768, 7805551, 2485405, 17832662, 16510963, 74621554, 49757387, 79441574, 8385885 ], [ 197486146, 72537487, 40672129, 70998739, 25910147, 19122126, 81223123, 60240597, 74851581, 39316808, 41117407, 8790025, 4691642, 240156093, 36634874, 18429975, 33221335, 69607594, 29159332, 138673085, 29984501, 88262117, 54507159, 34088334, 87890122, 53704391, 16674892, 325756812, 4139590, 9811063, 32318278, 48525486, 41938917, 61624824, 9919743, 107832548, 64942825, 68616002, 562100, 57103513, 108687630, 10259202, 98787651, 124972417, 203229696, 10151165, 104014806, 145062040, 151119305, 89121664, 26014536, 10030682, 45278645, 11660676, 42873717, 6894208, 115645029, 6045037, 11163758, 15659086, 17639151, 163526627, 21762789, 7969807, 180005608, 42677988, 49483502, 3769425, 66039138, 11128502, 126287092, 93778652, 26179740, 30813733, 105449809, 69681164, 153599185, 42159915, 52479638, 19249411, 38633454, 97212073, 201659547, 64323417, 29942809, 18418560, 116861292, 129906224, 71496567, 146610478, 119485024, 7492623, 23401976, 19222845, 77420654, 5229812, 100962090, 43573138, 110766261, 34800999, 265012392, 22447868, 22173503, 49967408, 18629613, 246766272, 160122026, 185295986, 35164341, 13010805, 113793735, 72021464, 65660769, 11363821, 82902303, 8411073, 14187457, 2726960, 24346444, 7574241, 7805551, 22538319, 87110961, 78707398, 62547840, 298087002, 54663602, 8341256 ], [ 18226871, 102728841, 9024081, 26799884, 136245013, 19122126, 50325822, 10728620, 33504200, 212447531, 3693519, 74243328, 29005768, 97544519, 50053741, 239229348, 76141940, 219829875, 44220525, 91072366, 21941194, 70120030, 54507159, 34088334, 21710163, 47168326, 210788437, 46274253, 85673659, 21147669, 90105736, 10593989, 128895918, 6952233, 28755322, 73829747, 89979232, 13208849, 562100, 37153598, 6402498, 74514401, 93498736, 17925071, 175894175, 10151165, 46963576, 33027000, 6080285, 52133795, 6266940, 2254545, 90500402, 49755262, 17366602, 37183143, 38983673, 6044690, 37915917, 16199378, 12831060, 22146385, 61772289, 7969807, 28367226, 105943341, 107754139, 20876282, 80895805, 11128502, 24161176, 79362433, 16407366, 20330484, 105449809, 167877967, 94950076, 62078491, 52479638, 108979105, 45404420, 190257354, 24766906, 45077948, 66922779, 23136344, 155554744, 7014981, 32125681, 73828439, 216312730, 74765455, 10225545, 19222845, 51254402, 75897377, 29930575, 43573138, 120942694, 9350717, 24868546, 290640124, 22173503, 123262322, 135848565, 150049881, 160122026, 127973221, 35164341, 259495312, 17449333, 95470352, 34900327, 73461231, 59576167, 77874438, 64456563, 97930457, 114234826, 227634995, 7805551, 123014306, 77478538, 6815616, 80028217, 2809997, 33579362, 4643354 ], [ 297616339, 8667550, 91521943, 255197437, 125013236, 164802255, 63043790, 60240597, 47429823, 69172837, 23011739, 53788131, 71615469, 75666424, 180966442, 40037042, 98507634, 380817300, 163384028, 118662574, 17088587, 183131299, 54507159, 34088334, 4836413, 43176167, 36571946, 101308589, 65657951, 21147669, 50069238, 94730687, 43988206, 318292396, 9919743, 22598478, 52854336, 90589342, 110155120, 194479144, 85422202, 97108644, 49905013, 124972417, 141293504, 181581527, 46963576, 145062040, 64951926, 26796532, 195036129, 86665551, 174860445, 211551143, 17366602, 306217001, 34526588, 71019915, 14648640, 186875839, 92363687, 163526627, 119978139, 48164330, 455025463, 213830117, 107754139, 35839957, 230077701, 11128502, 81048222, 166078129, 144387996, 118429636, 20588532, 49951593, 142157452, 141336538, 95255415, 108979105, 76332171, 10632238, 24766906, 81808325, 42160984, 23136344, 20072643, 143590005, 149029918, 73828439, 41797457, 7492623, 2360987, 123555688, 97838497, 214737243, 100962090, 43573138, 49175293, 10754514, 178490733, 79870237, 53489509, 114835017, 78447563, 49739002, 19763267, 118167853, 19345093, 48503409, 8198026, 52679508, 1250663, 211550518, 27117458, 77874438, 14187457, 88947068, 65373577, 51565532, 271186117, 67476139, 206314662, 84998718, 23623565, 4623602, 136927489, 35772956 ], [ 121536757, 12547977, 24442142, 43382058, 69246144, 32711496, 81223123, 7341564, 27272729, 43540580, 41117407, 53788131, 84520594, 57735337, 56590761, 18429975, 18518610, 30847397, 38219176, 16546424, 29984501, 46042705, 54507159, 34088334, 8151623, 117016792, 135922349, 31043805, 36979083, 9811063, 52784199, 16273457, 56755802, 19490018, 13776177, 100200947, 43326700, 6584236, 562100, 78702620, 93560525, 21288678, 43585495, 44225706, 29679506, 5564078, 104014806, 69912784, 74431455, 16255500, 26014536, 87331021, 12789386, 28863318, 46245928, 13802806, 16762983, 4698523, 66967279, 27143142, 101875996, 163526627, 33395442, 126875391, 113542778, 23458859, 114914010, 3781347, 50326426, 11128502, 65080746, 32422260, 26179740, 3573302, 20588532, 76258876, 48982349, 87277172, 19353368, 115810549, 35219218, 629887, 54757914, 35163687, 8841244, 23136344, 116861292, 88895362, 52984891, 73828439, 28854300, 55266043, 53375586, 19222845, 199466645, 5229812, 26063013, 43573138, 31605937, 32328827, 25234297, 22447868, 64410245, 132427529, 72897046, 10148911, 14861593, 58570577, 32211393, 48503409, 8198026, 20103948, 1250663, 11363821, 914930, 1778507, 620983, 134045925, 24346444, 137002392, 32182005, 18566907, 6464083, 12797032, 89520376, 22383659, 32928871, 8341256 ], [ 58273434, 83328899, 52245971, 26799884, 124208477, 19122126, 14983444, 3064932, 11338106, 71013518, 41117407, 53788131, 21916412, 59370111, 57273016, 4605955, 39440401, 148363555, 51287163, 12230160, 29984501, 88262117, 54507159, 7251821, 35481354, 14229681, 5535584, 46274253, 4139590, 9811063, 31500253, 46089993, 20788533, 6952233, 9919743, 22598478, 4289144, 13208849, 562100, 37153598, 125121146, 37919186, 49905013, 116998205, 24402478, 52150253, 46963576, 14432925, 164234895, 21462867, 26014536, 86665551, 51243350, 14950711, 45390288, 13555269, 32674386, 2256439, 11163758, 9555816, 12831060, 14572170, 32872819, 7969807, 92444769, 35065222, 2235822, 5412935, 9998005, 11128502, 24161176, 36939524, 1721996, 1248329, 41405556, 2188794, 3490129, 143429492, 52479638, 19249411, 1842598, 10632238, 24766906, 22416555, 42160984, 1305040, 20072643, 97802999, 60079774, 73828439, 89871715, 7492623, 43353329, 19222845, 16862142, 5232805, 2837940, 37744264, 120942694, 148252258, 226653226, 22447868, 3172646, 123262322, 79147676, 57756238, 14934828, 35939812, 27649900, 29267038, 31533926, 5221135, 16685798, 75222315, 27117458, 2138343, 29906894, 24495905, 24346444, 31122783, 10094996, 2485405, 4000571, 78707398, 27552016, 51706520, 33579362, 8385885 ], [ 121536757, 8667550, 83664605, 70998739, 90407784, 19122126, 40798206, 18298807, 31816588, 51469511, 37327831, 53788131, 83407527, 172514935, 115358941, 18429975, 18518610, 61864217, 29159332, 62336961, 57071156, 11122600, 46797033, 7251821, 8151623, 39328190, 16674892, 41069549, 4139590, 21147669, 32318278, 16273457, 130629805, 95548781, 28755322, 55362925, 52854336, 12448949, 562100, 92457307, 158735679, 10259202, 104008154, 114315668, 45483235, 8738751, 45355243, 204926856, 49410232, 40118035, 26014536, 30257612, 12789386, 207310266, 26675367, 6894208, 16762983, 6044690, 37915917, 46977691, 192823254, 36211929, 166247101, 7969807, 28367226, 4770883, 43635014, 71913506, 50326426, 5567523, 175289724, 89280381, 176483613, 60270550, 46077753, 69817680, 19107564, 63193423, 52479638, 19249411, 31485796, 35924575, 40525522, 64323417, 29942809, 12526600, 46595830, 116548344, 163301540, 25966059, 212703879, 29312532, 138770330, 19222845, 227162778, 5229812, 5674697, 43573138, 114009239, 81208466, 146751926, 79870237, 60899828, 130271720, 39990073, 66126466, 14861593, 93866529, 26093144, 65367662, 66908106, 10025357, 17980645, 132767123, 117243517, 1778507, 9457991, 2726960, 39902837, 7574241, 122396131, 18566907, 136440393, 10570262, 23136354, 340567, 13486249, 27466041 ], [ 82816544, 14711397, 91521943, 66718259, 136245013, 7829423, 5481880, 10728620, 15241692, 16677736, 19436251, 28429720, 8799657, 83613145, 57273016, 508383, 148249129, 38602143, 76057759, 37690172, 58345481, 257428240, 54507159, 42208599, 15072477, 46559750, 141286325, 37859035, 4139590, 9811063, 13557956, 38606700, 130629805, 174763978, 9919743, 142562220, 55349477, 136839292, 23580742, 49588790, 112270271, 7658704, 98787651, 1120881, 40028627, 116921833, 46963576, 33027000, 89040437, 52133795, 25501784, 36602426, 87034032, 26893681, 74241463, 13802806, 87782041, 6045037, 37915917, 28652780, 38748658, 65073753, 131219860, 7969807, 102069734, 81270623, 6272103, 20876282, 163238386, 11128502, 3837077, 45926843, 26179740, 11171053, 146148764, 43492965, 91856799, 42159915, 52479638, 19249411, 142052046, 172267954, 24766906, 21812586, 43158043, 50666230, 65709753, 52281886, 112236244, 55513661, 1357031, 7492623, 47854487, 19222845, 111880864, 100886655, 49803073, 43573138, 95691491, 67418016, 60341589, 22447868, 47910047, 2842731, 17613844, 30441055, 77177965, 81776008, 238866979, 63829230, 14870913, 57925024, 34900327, 15276074, 114745448, 77874438, 38995935, 57503618, 5759422, 83135938, 7440492, 67476139, 8317162, 35781802, 26019715, 144915952, 54663602, 79081622 ], [ 46096852, 13262061, 20372787, 2679158, 135672190, 7829423, 31193508, 10728620, 31816588, 56281284, 33741451, 11452889, 17524451, 42278554, 21373960, 508383, 40855158, 22672423, 7011872, 37690172, 29984501, 46042705, 38911756, 34088334, 11188844, 47168326, 70439458, 985564, 4139590, 6847388, 35107137, 25499364, 13192576, 19490018, 7603521, 22598478, 55349477, 12448949, 19074489, 64448995, 12039032, 39668587, 17055804, 11844658, 184359055, 5564078, 3379604, 23503598, 7675613, 1262880, 26014536, 2025381, 6903960, 24272144, 115547, 10654555, 69399563, 6044690, 14648640, 99788052, 24436762, 35379752, 33395442, 6921616, 28367226, 23458859, 79036542, 12512447, 18270592, 11128502, 3837077, 107498003, 6828299, 11171053, 33384915, 28328164, 48982349, 54497461, 29617518, 19249411, 85742346, 71594892, 24766906, 6927173, 8841244, 4613699, 35069163, 17932705, 36523646, 53672825, 28854300, 74765455, 58974079, 8024934, 15272083, 5229812, 9904138, 6371671, 82813620, 30702354, 7479796, 20750624, 38227043, 31086683, 3452385, 10148911, 91192089, 21571738, 60066507, 68911876, 14870913, 51084713, 27090275, 83085621, 12780855, 12359597, 14187457, 2726960, 6556908, 10524672, 63937097, 67476139, 6464083, 1438470, 11770568, 76808413, 37205154, 61077805 ], [ 297616339, 47624026, 91521943, 70998739, 128094034, 19122126, 81223123, 106802743, 11338106, 130413445, 35488797, 74243328, 71615469, 59370111, 57273016, 15234823, 18518610, 76232134, 11338408, 128972561, 16705778, 46042705, 49336637, 16439853, 8151623, 47168326, 79781033, 37859035, 2923538, 14046842, 7667555, 188706743, 92420806, 227915236, 9919743, 18914570, 114589147, 12448949, 32765113, 101321538, 81062066, 39668587, 17055804, 10231917, 85409986, 72681927, 46963576, 5528881, 158281515, 78224680, 68774826, 48322024, 12789386, 42624056, 115547, 48007445, 55492492, 6045037, 37915917, 16330527, 38748658, 101270468, 33395442, 3549008, 8952830, 51542511, 25808069, 92300019, 12141502, 11128502, 93913472, 11503741, 22317983, 18583904, 63911371, 3156213, 1375471, 64227072, 52479638, 26225179, 47164747, 36038136, 24766906, 63253625, 17520731, 19810342, 102608302, 143590005, 35778748, 73828439, 192070201, 5193768, 90739340, 19222845, 34260289, 5229812, 62719298, 35405968, 41613335, 32328827, 27145153, 79870237, 47910047, 33373381, 72897046, 71908149, 56803000, 31765215, 35164341, 94194490, 85809652, 152283894, 41638114, 135780760, 49664995, 54469332, 40615485, 2726960, 8464644, 51565532, 105648214, 23369490, 210995298, 78707398, 2744009, 33481920, 9442910, 8385885 ], [ 11435568, 34383241, 31671979, 7150769, 25954458, 7829423, 81223123, 19830875, 47429823, 78082420, 60840185, 1616244, 71615469, 75666424, 57273016, 33953354, 66898501, 44778422, 7011872, 56392526, 29984501, 46042705, 74453564, 5676459, 17403860, 3571107, 7507083, 4086075, 48317547, 21147669, 90105736, 71246059, 49957972, 3631305, 9919743, 22598478, 49730568, 42430887, 39196081, 80415472, 70452050, 39668587, 84011763, 70341664, 39853586, 47431684, 46963576, 54643431, 14335983, 48505450, 26014536, 10030682, 29805097, 67955405, 17366602, 10654555, 163969303, 6045037, 14648640, 6610976, 47814554, 826623, 33395442, 7969807, 28721496, 94680209, 80665036, 20876282, 126674761, 73748006, 3837077, 138794829, 1041650, 30575984, 20588532, 49670432, 26633138, 34125965, 10845223, 7071017, 19038590, 99339, 24766906, 66031637, 113960282, 23136344, 65709753, 27187777, 50615294, 12504584, 136986098, 7492623, 84566264, 19222845, 60290863, 75897377, 9904138, 15034865, 88365831, 30702354, 156870877, 15546031, 12279330, 238108826, 76955315, 35033547, 25152715, 70693965, 113385272, 17515893, 14870913, 18245555, 19566567, 15276074, 34187618, 33085781, 2069368, 2726960, 5759422, 10524672, 20709832, 57895621, 81708627, 76733489, 24638621, 54944014, 105830260, 2964190 ], [ 68369946, 17247502, 77760833, 96597209, 73874711, 19122126, 53867737, 84263943, 31816588, 182093476, 119367130, 225983439, 71615469, 75666424, 35292136, 201266211, 35635354, 10053466, 39143040, 64922813, 29984501, 9317341, 54507159, 34088334, 15072477, 43176167, 70439458, 46274253, 78210149, 21147669, 111465513, 153990073, 168067667, 69870133, 9919743, 22598478, 55349477, 48303051, 148733136, 50440960, 68084259, 39668587, 84011763, 133566195, 162920043, 25938202, 46963576, 22826986, 28791263, 3728851, 26014536, 2025381, 17070917, 67955405, 34066122, 11735842, 85409508, 6045037, 37915917, 16641398, 64921445, 65073753, 33395442, 7969807, 82186586, 21279826, 110304335, 20876282, 156465277, 58446128, 304223673, 10572331, 69686878, 1967052, 1624088, 154794640, 142157452, 97857801, 49381587, 14881854, 1937790, 176068714, 24766906, 39914296, 5255325, 23136344, 12729630, 100320188, 52984891, 19593982, 105306730, 7492623, 96409918, 19222845, 21563954, 168653519, 47946239, 30963293, 8006431, 321143, 101731487, 15546031, 62834793, 26255679, 125697141, 14180180, 2476592, 85995535, 113385272, 192731599, 168782422, 152283894, 34900327, 69216091, 54283146, 77874438, 75601534, 7778633, 5759422, 51565532, 51613150, 114772796, 85358323, 276801658, 158703739, 49757387, 106515484, 10384455 ], [ 82816544, 54737019, 74998691, 150688735, 125013236, 19122126, 81223123, 19830875, 47429823, 16677736, 46550493, 28429720, 24388200, 17481485, 57273016, 80017926, 40855158, 69607594, 7011872, 56392526, 29984501, 167021636, 54507159, 5409698, 15072477, 47168326, 141286325, 46274253, 36979083, 9811063, 59682824, 48525486, 94570901, 19490018, 9919743, 18914570, 17273915, 77710447, 31331473, 29478518, 158735679, 105594232, 30105930, 58397924, 85409986, 15723920, 22487531, 106313447, 28791263, 85786520, 26014536, 36602426, 87034032, 67955405, 23663798, 3787253, 26847428, 6045037, 34291229, 40026291, 99257009, 136345621, 33395442, 7969807, 72999968, 63651349, 40681939, 20876282, 17798266, 7789227, 22704879, 104722467, 26179740, 12467909, 20588532, 235806088, 142157452, 156856293, 52479638, 19699909, 76332171, 121529825, 24766906, 34525020, 85803485, 23136344, 223475638, 52226857, 88301420, 20083284, 1357031, 7492623, 76295635, 19222845, 55547071, 75897377, 242640728, 43573138, 8006431, 72167454, 30132042, 22447868, 12046729, 114835017, 51408379, 47516633, 751071, 183938949, 7958284, 234692275, 26595740, 152283894, 34900327, 38516360, 162901039, 77874438, 38995935, 50170005, 5759422, 10524672, 112189873, 71023811, 6464083, 35781802, 135969227, 45823554, 45970648, 7942710 ], [ 134930484, 97085922, 6486315, 43872504, 90453181, 212897517, 35464435, 19830875, 28628523, 180100603, 151853792, 26863402, 71615469, 172514935, 91387515, 508383, 10545885, 44743016, 176555435, 91072366, 64222702, 32527896, 54507159, 34088334, 104149803, 21434280, 129933104, 166038206, 36979083, 9811063, 17851763, 30479417, 13784895, 61760852, 9919743, 1543265, 114589147, 81304738, 42945998, 109689335, 35646988, 94283208, 8942345, 87449919, 9503165, 12349849, 10632330, 33027000, 89040437, 52133795, 26014536, 7635835, 51243350, 137380937, 74241463, 10654555, 79332487, 30520751, 11163758, 85967173, 5110787, 24647788, 36968850, 11946234, 134638084, 5954598, 131606927, 215761745, 41013834, 11128502, 70087315, 403409, 7031413, 11171053, 8429798, 30652265, 19107564, 62078491, 72091683, 3407996, 47164747, 35924575, 24766906, 63253625, 21883291, 23136344, 31450107, 142321563, 3458520, 73828439, 191962791, 7492623, 47854487, 5495430, 45724142, 5229812, 134214648, 43573138, 8006431, 170678808, 156622523, 22447868, 64410245, 69514327, 39990073, 133557141, 30784054, 28712800, 35164341, 17299405, 27637367, 129512264, 15506915, 83085621, 23536374, 77874438, 21334239, 9219250, 24346444, 94962878, 118431638, 9601057, 17832662, 78707398, 248994150, 16828042, 106515484, 158189237 ], [ 61560207, 31310792, 91521943, 74974636, 58905431, 7829423, 93186716, 527077, 11338106, 69172837, 151853792, 74243328, 71615469, 105161936, 198997199, 157294925, 35635354, 28824799, 14248063, 42877873, 17088587, 116153520, 54507159, 5971639, 4836413, 22203562, 16674892, 18816087, 39718218, 21147669, 32318278, 19888435, 92420806, 103716003, 9919743, 106027758, 154444328, 244412833, 9985536, 19421974, 5540999, 124550739, 18076515, 124972417, 48851074, 9452418, 169965625, 28538266, 49456256, 85786520, 137752943, 86665551, 12751541, 118679761, 17366602, 9221359, 67785897, 273707166, 70130011, 35473751, 84459015, 28342726, 50548345, 317560233, 99976169, 4770883, 107754139, 20876282, 136008579, 11128502, 144291950, 166078129, 79314695, 44910532, 187907533, 116247650, 73825580, 792191220, 169109617, 84909946, 52194133, 75580403, 205135835, 90545516, 12935454, 23136344, 175526994, 100091384, 6061460, 40272716, 66873785, 7492623, 112610509, 19222845, 55887444, 5229812, 32659020, 14280183, 70702622, 139396791, 129171126, 46620845, 64410245, 479279257, 64151107, 181016374, 52774061, 43313435, 35164341, 29184568, 31533926, 152283894, 17980645, 194919342, 74075083, 13721683, 14935790, 9219250, 39902837, 63204001, 282817243, 277962867, 13234703, 78707398, 126114961, 132466882, 100861008, 8385885 ], [ 18021975, 75324996, 58499433, 157120283, 60614589, 7829423, 119080967, 19830875, 50667588, 77931079, 11836062, 60680714, 71615469, 207755723, 198997199, 333177706, 35635354, 153726378, 5312691, 42642543, 69861726, 108880736, 54507159, 233575, 84389921, 117016792, 311684793, 25191387, 4139590, 9811063, 173720795, 45632430, 123554793, 87829367, 9919743, 180270267, 16958417, 52916695, 9985536, 114785589, 94777052, 88187737, 82273553, 70341664, 83022832, 9452418, 4572319, 5528881, 27658597, 52133795, 137752943, 87331021, 12751541, 37635859, 98129014, 13802806, 84948317, 39826382, 14648640, 48091385, 10098227, 71369223, 80522060, 4081438, 45707552, 4770883, 131606927, 11729070, 26803841, 8937545, 1927362, 104722467, 26179740, 60270550, 145614961, 99667754, 210188509, 62078491, 44841138, 19249411, 63506446, 33612121, 96168610, 140116245, 12184028, 23136344, 49221285, 52281886, 31682455, 40272716, 41389283, 7492623, 47854487, 19222845, 43006780, 62454713, 47946239, 1404637, 93648340, 205045179, 147191683, 22447868, 64410245, 13618800, 121085390, 26796984, 102658799, 79723523, 35164341, 63829230, 31533926, 21710698, 7570150, 259420844, 39972636, 77874438, 14187457, 4758860, 24346444, 11520981, 26584351, 58363570, 49110469, 39724630, 78854301, 132466882, 21178790, 36215759 ], [ 155487815, 13262061, 20551867, 51594079, 33277103, 7829423, 81223123, 10728620, 47429823, 71293704, 33741451, 34610107, 43548000, 21677042, 19807975, 118994575, 76141940, 44778422, 5312691, 91072366, 29984501, 54212643, 8824962, 34088334, 15072477, 47168326, 70439458, 50283966, 36979083, 9811063, 80625768, 19256234, 13192576, 1422517, 102686250, 107832548, 89979232, 90589342, 23580742, 64448995, 108687630, 7658704, 49905013, 41882169, 141293504, 10151165, 3890878, 6128825, 106295078, 52133795, 26014536, 10030682, 117148898, 49755262, 58933589, 13802806, 84948317, 6044690, 37915917, 48091385, 8604953, 25224650, 33395442, 7969807, 28367226, 83062702, 48009087, 25794162, 217550384, 11128502, 1927362, 156947840, 26179740, 132703814, 105449809, 49823175, 142157452, 31134821, 52479638, 26225179, 45404420, 3326017, 24766906, 17277866, 12184028, 23136344, 7459116, 9592218, 50615294, 73828439, 97068254, 28532894, 8702321, 19222845, 79091183, 5229812, 9904138, 15323433, 6831786, 321143, 64683569, 22447868, 22173503, 2842731, 165357810, 35033547, 72365712, 63785001, 36746780, 10655704, 14870913, 8721047, 34900327, 121173633, 144199753, 71561743, 38995935, 26423697, 24346444, 10524672, 7805551, 14258517, 12464317, 10815772, 81256842, 14470948, 132930395, 120635486 ], [ 1726541, 38167608, 31489282, 36703392, 53044868, 19122126, 31405276, 7320926, 7806655, 146809552, 52699233, 74243328, 13056883, 60310853, 57273016, 91813945, 10545885, 38602143, 5524917, 138673085, 29984501, 216168174, 7097485, 16439853, 15072477, 47168326, 48569246, 46274253, 158193118, 21147669, 182484876, 30479417, 22077150, 227915236, 9919743, 18914570, 7728598, 49049271, 75907274, 7122117, 4936143, 159758675, 84011763, 63822203, 85409986, 82507689, 46963576, 118841025, 27658597, 167938916, 26014536, 7980156, 87034032, 67955405, 74241463, 23871470, 62931609, 6044690, 14648640, 98277433, 144405045, 163526627, 33395442, 4081438, 28367226, 82071916, 110304335, 20876282, 284783536, 11128502, 35910822, 94246456, 34809144, 20330484, 55101405, 24883461, 2186367, 34125965, 32050634, 26225179, 27729518, 6306853, 24766906, 45077948, 132605470, 23136344, 127116339, 52281886, 74453127, 82618993, 88203848, 7492623, 91462569, 124127201, 54046127, 75897377, 242640728, 6823891, 8006431, 207574875, 31953348, 36104330, 11138818, 112236543, 100601120, 2904225, 39469454, 79735339, 78632075, 60683323, 22025713, 50978585, 34900327, 116103781, 134001445, 77874438, 13813652, 2726960, 58013038, 20039741, 130729237, 174383736, 85358323, 39724630, 12464759, 139932145, 39011870, 48756787 ], [ 11435568, 97085922, 40672129, 7150769, 46516821, 7829423, 97129088, 40134282, 11338106, 28915564, 10278007, 12235856, 25445633, 3626888, 57273016, 3329384, 3977840, 58757971, 7011872, 96866342, 58345481, 37814712, 3915686, 16439853, 8151623, 3571107, 4418051, 2539870, 1777641, 9811063, 133945263, 38606700, 49957972, 19490018, 9919743, 18914570, 81067513, 174633574, 37541887, 15027481, 108687630, 61087653, 98787651, 70341664, 39598691, 10151165, 92102862, 124994686, 84387194, 22549088, 26014536, 10030682, 12789386, 21139736, 4001325, 10654555, 55492492, 3901948, 14648640, 19219834, 10098227, 163526627, 92760486, 7969807, 28367226, 8767110, 6973459, 20876282, 50326426, 576126, 53217957, 60560920, 2585693, 12467909, 6852133, 16575690, 73825580, 112889293, 37629562, 4632482, 74590553, 44235816, 105240896, 6927173, 42126297, 23136344, 38087537, 52281886, 37520657, 53672825, 28854300, 7492623, 20417441, 19222845, 21563954, 5229812, 163146865, 22208633, 65737184, 321143, 58017186, 22447868, 16177138, 18143679, 156395278, 61386967, 55340260, 98337037, 11775402, 90573185, 9815567, 18245555, 16685798, 16246892, 88138403, 17009030, 14187457, 29735987, 1588375, 10524672, 7805551, 15816928, 6464083, 4842699, 23136354, 29750645, 104040177, 4063030 ], [ 73278332, 13262061, 85667061, 7150769, 35280628, 19122126, 81223123, 7320926, 47429823, 28915564, 11836062, 55136879, 71615469, 62435655, 57273016, 118994575, 18518610, 61864217, 3057909, 56392526, 29984501, 83754180, 48133062, 926750, 8151623, 47168326, 30351230, 29874794, 36979083, 9811063, 84922856, 30479417, 29973563, 19490018, 9919743, 22598478, 7728598, 21268641, 23580742, 80415472, 94777052, 68812443, 98787651, 63822203, 45109329, 10151165, 46963576, 36373952, 45725471, 85786520, 7871368, 3549029, 11643639, 49755262, 38628019, 10654555, 16952720, 6045037, 14648640, 19219834, 101470147, 36211929, 33261372, 7969807, 27825363, 122164025, 55989343, 124620689, 50326426, 11128502, 22704879, 94246456, 2506977, 3573302, 20588532, 51136416, 2186367, 65090503, 36187991, 26225179, 24338464, 629887, 24766906, 26791723, 6724248, 23136344, 192082432, 52281886, 58334701, 27563915, 28854300, 7492623, 23401976, 19222845, 33557510, 5232805, 76425246, 43573138, 120942694, 48139606, 16393146, 22447868, 22173503, 77444269, 1213477, 10148911, 76288279, 43313435, 60066507, 39156272, 22025713, 61523681, 21121761, 124136027, 41831832, 77874438, 4778538, 9219250, 24346444, 10524672, 7805551, 67476139, 6464083, 39722141, 208043842, 2860004, 5261797, 26619903 ], [ 4142402, 13262061, 91521943, 7150769, 90453181, 14956668, 5481880, 10728620, 47429823, 249959621, 42522121, 61471504, 16948464, 52992317, 23609316, 508383, 75771032, 64268841, 5312691, 138673085, 29984501, 41483532, 7097485, 12169665, 15072477, 47168326, 7868675, 37859035, 36979083, 9811063, 108267654, 48525486, 37924836, 91141172, 9919743, 18914570, 55349477, 135587749, 23580742, 49588790, 158735679, 9182292, 47817339, 70341664, 83436085, 40479046, 46963576, 11190101, 89040437, 140828493, 26014536, 36602426, 87034032, 59131599, 70429391, 11735842, 55170009, 6045037, 14648640, 211032644, 38748658, 65073753, 33395442, 7969807, 28936922, 23458859, 131606927, 79939435, 18270592, 11128502, 53990024, 3453250, 26179740, 11171053, 124936471, 43492965, 142157452, 67284681, 3261094, 26225179, 268770159, 153155053, 24766906, 6927173, 12184028, 23136344, 192082432, 52281886, 36523646, 73828439, 119485024, 7492623, 77572742, 19222845, 79091183, 5229812, 26063013, 22208633, 120942694, 32328827, 31953348, 22447868, 47910047, 120701790, 54330851, 42055225, 208148147, 43313435, 60066507, 94194490, 126265297, 11162120, 11982053, 75433598, 23536374, 68037388, 14187457, 9219250, 24346444, 22717768, 20933357, 9601057, 87110961, 293362051, 78854301, 83112910, 70127074, 75920074 ], [ 3749336, 97085922, 43139594, 7150769, 132514205, 7829423, 38039963, 19830875, 91518702, 54421142, 19436251, 36381520, 84520594, 75666424, 23609316, 69899350, 36090254, 40088389, 8552619, 564141, 29984501, 46042705, 11762876, 16439853, 5268798, 23021542, 10281903, 13185768, 31411503, 4640612, 35107137, 48257855, 49792803, 103716003, 22427269, 18914570, 71870895, 52916695, 9985536, 14136878, 85422202, 17280545, 54821613, 24447404, 8534448, 10151165, 60098464, 5528881, 27658597, 4795440, 26014536, 87331021, 111175371, 49755262, 17366602, 5334374, 17500540, 6044690, 14648640, 28456691, 63541949, 22758814, 33395442, 4081438, 26707949, 4770883, 107754139, 35324903, 1140251, 11128502, 38757949, 7979941, 11436786, 47735823, 20588532, 38454805, 75252481, 112041828, 16528031, 74104424, 49030490, 78869444, 20229254, 9506796, 7835358, 23136344, 45262272, 42591551, 48669013, 47764167, 47753570, 48008163, 23401976, 19222845, 97838497, 30804214, 98189046, 43573138, 8006431, 32328827, 92747471, 22447868, 22173503, 33373381, 49987651, 116747790, 74355201, 2028917, 13425021, 39156272, 31533926, 13577171, 17980645, 13069568, 105369908, 77874438, 14187457, 4758860, 24346444, 51565532, 7440492, 25533915, 67065931, 30294394, 11770568, 101057893, 33560528, 16126660 ], [ 6925873, 97085922, 40672129, 140592197, 136245013, 7829423, 157367015, 19830875, 130968640, 16677736, 33741451, 74243328, 84520594, 39175709, 745238, 21034128, 36090254, 109181662, 54252897, 8166328, 24859593, 46042705, 54507159, 34088334, 73598365, 3571107, 231150847, 55091944, 4139590, 9811063, 34202976, 247786119, 93618611, 74126686, 10782402, 5820433, 263076020, 35634331, 86884185, 50595135, 11142073, 17280545, 38410597, 73242172, 77045482, 6974595, 164343001, 145062040, 51302431, 60223950, 46019661, 10030682, 33215173, 49755262, 17366602, 10654555, 144105158, 134823790, 11163758, 31897130, 43648819, 93543946, 162581792, 48164330, 81104098, 61600159, 69275328, 3498867, 18270592, 11128502, 61894725, 11656968, 26179740, 60270550, 105449809, 49823175, 75252481, 36564773, 16528031, 19249411, 76332171, 48992924, 40871224, 46909350, 51245723, 23136344, 131190754, 815649, 17355189, 37437763, 191962791, 69428494, 23401976, 40655153, 92356686, 75897377, 44055985, 3240417, 6831786, 321143, 19879796, 20441678, 22173503, 63044006, 79147676, 46765528, 86169072, 107669794, 35164341, 39156272, 31533926, 127879077, 93898343, 1225763, 88138403, 76997010, 14187457, 57503618, 15947760, 51565532, 7805551, 25533915, 67065931, 35781802, 74621554, 2330188, 54663602, 20795764 ], [ 24568957, 6734155, 43139594, 7150769, 29654192, 7829423, 40798206, 19830875, 47429823, 77931079, 6349863, 74243328, 22757081, 12479428, 55534784, 41794532, 35635354, 35210160, 51287163, 10529053, 29984501, 113993085, 54507159, 6828228, 3249289, 47168326, 4106649, 5969386, 85673659, 21147669, 84922856, 11282436, 12975912, 87829367, 9919743, 19378451, 89979232, 155053663, 9985536, 80415472, 88913394, 124550739, 98787651, 41882169, 81341856, 10914927, 3890878, 28538266, 26109682, 52133795, 26014536, 30625021, 11643639, 25995624, 48697513, 10654555, 5280780, 6045037, 14648640, 57637243, 105891063, 22758814, 11447161, 7969807, 5790851, 2065244, 46336715, 1558710, 103833707, 11128502, 30899033, 6038789, 27748232, 111714796, 77248221, 41768460, 52492171, 60945208, 24397799, 3400982, 40986634, 26643851, 24766906, 66745399, 39615964, 4804257, 26556088, 52281886, 74453127, 73828439, 66873785, 7458528, 47854487, 19222845, 24119561, 9924434, 2009507, 1404637, 56328985, 53249682, 207472463, 105826724, 64410245, 31805790, 1213477, 30424445, 69002959, 43313435, 12933874, 19719398, 31533926, 98500841, 17980645, 216383108, 154271474, 13721683, 14187457, 2726960, 28110601, 94962878, 3506012, 37227739, 2577556, 39724630, 11770568, 118409143, 61373041, 16126660 ], [ 82816544, 13262061, 40672129, 7150769, 33277103, 7829423, 81223123, 3064932, 47429823, 16677736, 11836062, 50368910, 71615469, 62301292, 57273016, 118994575, 3205874, 13214978, 7011872, 47373450, 29984501, 11649343, 16621108, 926750, 3249289, 22203562, 34896530, 39720231, 4139590, 9811063, 26904286, 6606854, 10438936, 1422517, 9919743, 22598478, 4289144, 31464552, 3477864, 14601649, 36774646, 9182292, 98787651, 70341664, 1966684, 116921833, 1050417, 48111869, 45725471, 72787716, 26014536, 10030682, 12751541, 25995624, 14848039, 10654555, 51457282, 1194461, 14648640, 6610976, 61606123, 92915818, 33395442, 7969807, 28367226, 21279826, 21701992, 9662065, 43176050, 11128502, 1927362, 33349451, 26179740, 51298002, 33384915, 2188794, 26633138, 14217630, 52479638, 19249411, 76332171, 77870115, 24766906, 10467512, 12935454, 23974405, 38087537, 26708414, 43408672, 73828439, 119485024, 7492623, 4858739, 19222845, 15727200, 5232805, 26063013, 15323433, 88365831, 321143, 92362636, 22447868, 20159442, 13618800, 1213477, 10148911, 19265764, 2028917, 35164341, 44688488, 31533926, 41376569, 61107429, 3642390, 92628323, 71561743, 14187457, 2726960, 24346444, 10524672, 7111241, 67476139, 35652117, 35781802, 77018482, 30584296, 32361780, 88366879 ], [ 82816544, 41503497, 51890782, 7150769, 90407784, 7829423, 13110491, 7320926, 31816588, 16677736, 33741451, 28429720, 9099758, 13920403, 57273016, 3329384, 3977840, 148363555, 29491982, 29022692, 69861726, 37814712, 11762876, 5676459, 59133428, 23987554, 5164034, 46274253, 1777641, 21147669, 90105736, 9444588, 82390790, 120120523, 9919743, 5820433, 7728598, 97370171, 82889921, 80415472, 141305764, 9182292, 98787651, 43931482, 26152465, 395410, 46963576, 99126257, 17323077, 71017003, 26014536, 7980156, 91163601, 49755262, 23663798, 9076195, 63710292, 6045037, 37915917, 6610976, 61606123, 51921857, 11447161, 7969807, 28099212, 9567324, 40681939, 3934247, 57035622, 11128502, 54995284, 41562746, 86828494, 26827335, 3880522, 16575690, 2186367, 22464142, 36187991, 36595329, 10221119, 6306853, 24766906, 37326805, 32908317, 23136344, 9585615, 34969278, 112236244, 33872850, 1357031, 7492623, 20286730, 19222845, 103334957, 5232805, 37119810, 1276448, 90706319, 36374235, 90727368, 25143123, 12046729, 15381447, 72897046, 25940922, 112678011, 43313435, 90583631, 170452852, 22025713, 32525938, 951905, 13069568, 162901039, 42115646, 30400029, 2726960, 1588375, 20039741, 7805551, 37227739, 25747478, 3053059, 76355897, 8897271, 37911299, 88366879 ], [ 42188445, 75324996, 90643145, 7150769, 55136814, 7829423, 5481880, 10728620, 16684911, 77931079, 11836062, 343617, 9099758, 73167009, 65860578, 12983464, 121816659, 1261333, 5312691, 12230160, 6446714, 46042705, 54507159, 6828228, 15072477, 47168326, 10281903, 39720231, 85673659, 21147669, 80625768, 4276608, 119456473, 174763978, 9919743, 18914570, 66556052, 123969568, 12969820, 49588790, 125121146, 9182292, 84751845, 43944279, 5700476, 116921833, 4572319, 160455761, 57139815, 58812563, 26014536, 31033888, 31024540, 75270923, 74241463, 39394731, 84948317, 6045037, 14648640, 48091385, 84459015, 25299162, 43978709, 7969807, 189214701, 39888655, 110304335, 20876282, 52611117, 11128502, 1927362, 41480503, 90099474, 173435278, 155184630, 26211148, 133634800, 34125965, 45217086, 26225179, 45404420, 52330973, 24766906, 140116245, 12184028, 23974405, 26321502, 52281886, 52984891, 73828439, 1357031, 7492623, 59814013, 19222845, 79091183, 5232805, 26063013, 1404637, 93922688, 32328827, 83801107, 15546031, 50865195, 25339270, 14432624, 42055225, 2331077, 43092582, 26093144, 68911876, 26595740, 96419578, 34900327, 15844133, 23979924, 74931875, 14187457, 9219250, 162226585, 10524672, 200018827, 67476139, 37426293, 39724630, 76355897, 38374337, 13486249, 61077805 ], [ 42120997, 97085922, 36922966, 36703392, 53044868, 7829423, 81207248, 18298807, 134739930, 11008712, 33741451, 58301921, 1954083, 13920403, 36297748, 13112516, 18518610, 48905963, 51287163, 12230160, 58345481, 91967100, 54507159, 16439853, 8151623, 3571107, 1203173, 49144857, 34996821, 9811063, 32318278, 28955315, 13192576, 69870133, 7461596, 18914570, 85660278, 135175152, 25916821, 64448995, 5540999, 9182292, 98787651, 70341664, 30456859, 10151165, 106218832, 33027000, 162036422, 12395135, 26014536, 36602426, 12789386, 13213419, 98129014, 13802806, 62455482, 6044690, 14648640, 20423772, 11246282, 36211929, 166247101, 7969807, 28367226, 32207218, 127525825, 43317630, 50326426, 11128502, 3837077, 104722467, 26179740, 20330484, 1624088, 116247650, 74581933, 11098409, 52479638, 26225179, 52036123, 120123839, 94798882, 21812586, 142447834, 23974405, 19146395, 47771773, 25634552, 73828439, 105306730, 7492623, 23401976, 19222845, 54046127, 5232805, 132534701, 43573138, 8006431, 34787540, 22953946, 22447868, 22173503, 15381447, 79147676, 35033547, 2476592, 21855696, 7836553, 259495312, 14870913, 50978585, 34900327, 61380944, 17161804, 77874438, 14187457, 2726960, 1231057, 51565532, 7805551, 76350134, 8317162, 12797032, 76355897, 29646304, 39011870, 12517399 ], [ 68369946, 97085922, 49482088, 7150769, 90453181, 7829423, 81223123, 130453420, 47429823, 169121031, 19971613, 74243328, 71615469, 73602669, 57273016, 508383, 388474777, 10053466, 42310155, 37690172, 8585098, 172141060, 54507159, 34088334, 15072477, 47168326, 7868675, 31043805, 36979083, 9811063, 26192176, 38606700, 129614844, 19490018, 9919743, 52894914, 89979232, 88427717, 218288744, 64448995, 5110462, 76255463, 49905013, 11844658, 210379947, 109407790, 46963576, 49292607, 84387194, 99727134, 24494642, 120801518, 25182021, 67955405, 5206059, 13802806, 179471924, 6045037, 14648640, 99788052, 66163271, 40126632, 33395442, 7969807, 178367501, 23458859, 105043960, 27139584, 18270592, 11128502, 81048222, 128499382, 26179740, 11171053, 55101405, 76258876, 142157452, 31134821, 52479638, 14881854, 1937790, 16004079, 24766906, 45077948, 120283677, 23136344, 143989921, 10605098, 67915181, 19593982, 28854300, 7492623, 53375586, 19222845, 20286424, 75897377, 29534767, 26937902, 8006431, 81208466, 156622523, 22447868, 57685915, 63044006, 165357810, 54920280, 40607043, 46902796, 11261624, 10655704, 8198026, 27382384, 54932321, 83085621, 39972636, 162911, 14187457, 111856126, 24346444, 94962878, 271186117, 67476139, 6464083, 177677120, 232687611, 1832243, 39011870, 158189237 ], [ 21341086, 21603521, 10590528, 63003779, 112081911, 7829423, 113206028, 28739866, 31816588, 15501928, 11836062, 31066633, 71615469, 67212183, 59603933, 112560591, 18518610, 143841666, 20495823, 128972561, 17088587, 203299373, 54507159, 16439853, 4836413, 115585861, 53767925, 39720231, 4139590, 9811063, 50069238, 48525486, 8378264, 19490018, 9919743, 18914570, 89979232, 36469726, 240537181, 101321538, 158735679, 76866653, 77608895, 124972417, 85409986, 72681927, 13649392, 5528881, 158281515, 10828022, 7871368, 36602426, 8988401, 52772735, 52722011, 13802806, 108586905, 6045037, 14648640, 14017211, 84459015, 37408271, 1434691, 7969807, 180005608, 28397782, 131606927, 71913506, 50326426, 11128502, 53767863, 154347737, 16268261, 12467909, 3585485, 62602049, 210188509, 156856293, 40965025, 11209908, 66369083, 50839637, 14834384, 23507974, 40148826, 23136344, 122076125, 25912085, 21518661, 25591598, 28854300, 7492623, 11069810, 19222845, 122508861, 42846245, 76425246, 37954664, 8136141, 321143, 35437505, 13573695, 62834793, 33373381, 62995471, 54920280, 30097089, 93866529, 35164341, 54174548, 31533926, 56230204, 108892514, 31420260, 124317005, 12788432, 14187457, 165789456, 22181686, 21252408, 105648214, 67476139, 6464083, 39389127, 11461283, 37640331, 5261797, 41313697 ], [ 73278332, 22529708, 40672129, 52262630, 136245013, 83086094, 9546680, 7341564, 11338106, 34479009, 126992149, 31066633, 140851848, 19132888, 57273016, 2978913, 54068260, 10053466, 7011872, 98680783, 29984501, 46042705, 54507159, 30265834, 15072477, 3571107, 70439458, 35639931, 10575443, 9811063, 36342808, 30479417, 8378264, 6952233, 7603521, 41163899, 31600162, 94981046, 23580742, 48807174, 65446841, 7658704, 114412716, 744442, 39598691, 109407790, 46963576, 52133253, 7675613, 10077801, 26014536, 10030682, 17070917, 11660676, 74241463, 13802806, 31917060, 4698523, 11163758, 14786749, 78548461, 56202485, 33395442, 125100804, 77097147, 8767110, 110304335, 20876282, 148284062, 11128502, 24161176, 57092899, 26179740, 6787830, 22404024, 169145469, 11894363, 74305015, 77948442, 26225179, 14601617, 10158467, 24766906, 45077948, 83700764, 23136344, 39753943, 43126127, 52984891, 73828439, 119485024, 140972560, 26591430, 19222845, 4848293, 5232805, 31812472, 6371671, 72877237, 32328827, 61104428, 22447868, 64410245, 2842731, 3452385, 150049881, 47583747, 16800593, 106621987, 20602581, 44738640, 344513851, 34900327, 16286261, 205343404, 77874438, 33179873, 23640189, 24346444, 10524672, 51613150, 100173499, 17832662, 69377704, 133945209, 49757387, 39011870, 8385885 ], [ 115317857, 4622043, 31489282, 453750, 47037865, 7829423, 146052228, 22419451, 4211876, 43240855, 11836062, 47126856, 71615469, 18894141, 59603933, 42062879, 18518610, 38474255, 5524917, 56392526, 29356258, 98765786, 49474096, 117605892, 8151623, 47168326, 16102179, 39720231, 36979083, 9811063, 98773150, 39282680, 21899685, 19490018, 9919743, 123813425, 15828068, 224982123, 15322229, 7122117, 155660855, 5447914, 2746479, 124972417, 91330508, 10914927, 19848542, 28538266, 73319643, 10828022, 135584844, 87331021, 8988401, 58713381, 25952726, 13802806, 116995290, 6044690, 14648640, 70766051, 66163271, 12344388, 166247101, 48164330, 17242752, 137077539, 117692617, 5412935, 26803841, 11128502, 22704879, 131077855, 1966761, 12467909, 137897006, 116247650, 24177550, 62078491, 10845223, 49279826, 32493171, 50839637, 24766906, 59730645, 26850711, 23974405, 35069163, 19867712, 21518661, 46776596, 28854300, 7492623, 47854487, 19222845, 133625491, 5232805, 47946239, 43573138, 42197239, 67418016, 38867257, 6227883, 3172646, 66320575, 128715962, 109064073, 38484741, 108211405, 35164341, 29267038, 31533926, 56230204, 1250663, 7309789, 39972636, 13721683, 14187457, 43714819, 24346444, 21252408, 73660967, 67476139, 919956, 62255495, 26256355, 7804549, 30227837, 13212222 ], [ 21341086, 61167770, 91521943, 74511019, 15521418, 28629591, 42310943, 130453420, 47429823, 88949624, 11836062, 58519521, 34019496, 47432504, 50053741, 41794532, 18518610, 58008113, 25920463, 130147802, 188546503, 46042705, 54507159, 9683852, 8151623, 21578825, 70439458, 343052, 36979083, 9811063, 146702589, 48525486, 33588870, 120120523, 22427269, 99146047, 140274632, 73037242, 86884185, 64448995, 11142073, 17280545, 17055804, 124972417, 58014870, 149856942, 13649392, 98960917, 92826717, 56346379, 26014536, 120801518, 12789386, 134442915, 115547, 13802806, 33852532, 30520751, 22212429, 31897130, 232211762, 155119639, 11447161, 6997805, 2663878, 66016894, 16464820, 105572524, 50326426, 11128502, 53767863, 6038789, 26179740, 23605154, 170015087, 107935635, 52492171, 1374860, 2153676, 108979105, 116833549, 133934712, 24766906, 45077948, 44421662, 23136344, 32312309, 108754104, 52984891, 70172630, 8403455, 8313303, 20286730, 19222845, 60854711, 42846245, 47946239, 43573138, 8136141, 32328827, 248177336, 22447868, 64410245, 132992065, 51603924, 246766272, 19570961, 58570577, 422841, 10655704, 40936145, 103316193, 34900327, 13069568, 46127472, 24923242, 4285659, 116940943, 24346444, 1053920, 90197879, 36683948, 54149584, 39389127, 164623187, 44785241, 39011870, 120635486 ], [ 24568957, 64624007, 39960801, 7150769, 132514205, 7829423, 4873519, 63416529, 31816588, 28915564, 19971613, 74243328, 9099758, 42278554, 57273016, 189182936, 18518610, 69607594, 201456877, 42877873, 29984501, 133178080, 54507159, 5971639, 8151623, 50577271, 49642685, 41069549, 4139590, 21147669, 9099029, 17844472, 13192576, 62031210, 9919743, 22598478, 11146641, 125350875, 120108514, 14601649, 19096358, 18297145, 98787651, 124972417, 26152465, 48317508, 170764325, 76628932, 124635316, 5935224, 26014536, 7980156, 12789386, 67955405, 14848039, 11735842, 42224098, 6045037, 14648640, 6610976, 54524408, 24647788, 33395442, 7969807, 82012261, 83062702, 58716158, 20876282, 26803841, 11128502, 54995284, 52984947, 17670782, 60270550, 12918850, 49823175, 26633138, 14217630, 52479638, 4632482, 155984998, 6306853, 40525522, 90826362, 43158043, 23974405, 23188495, 114696070, 111240981, 40049812, 119485024, 7492623, 201556034, 19222845, 31924856, 5232805, 9369806, 14280183, 6831786, 62310490, 58625715, 15546031, 30883294, 63044006, 20196655, 90330258, 46999773, 43313435, 26093144, 24192464, 5174187, 109796449, 2747877, 16246892, 39972636, 50759393, 14187457, 9219250, 72406864, 20039741, 10094996, 67476139, 67065931, 12121716, 23136354, 93385593, 13486249, 103542213 ], [ 174162059, 65543923, 9024081, 37923078, 25910147, 3682891, 33547610, 169517692, 11338106, 14650532, 11836062, 31066633, 68684428, 82826750, 15127766, 31492154, 18518610, 148363555, 31519399, 28941804, 1121095, 42114126, 40985255, 21110622, 8151623, 16071831, 22853199, 39720231, 4139590, 21147669, 90105736, 211430433, 8378264, 90961544, 4133651, 57662041, 154444328, 21224022, 3026474, 7794848, 11142073, 39668587, 36084446, 58431679, 7150152, 44570338, 60722984, 57322508, 116687584, 37641420, 26014536, 38680821, 12789386, 37635859, 17366602, 28456575, 31917060, 6044690, 66967279, 17090967, 2470016, 81717696, 35548332, 74046888, 745699, 23458859, 47996059, 20876282, 50326426, 11128502, 10836348, 154831352, 20700258, 22062376, 17857116, 169145469, 11955167, 42159915, 77948442, 12089147, 49042019, 19882501, 46614078, 204831672, 4667868, 23136344, 71618016, 43126127, 7962982, 61709795, 99140986, 7492623, 45426638, 19222845, 21583160, 5229812, 38365314, 37954664, 64520074, 9350717, 83490460, 76039865, 64410245, 42464866, 18629613, 150049881, 16146475, 20313015, 35164341, 25672973, 25447622, 66045757, 72306659, 116068778, 54283146, 32556035, 74477566, 40852146, 39902837, 83135938, 84258678, 67476139, 85358323, 4241466, 73978516, 41984020, 2636703, 8385885 ], [ 139170171, 12643977, 91521943, 18520017, 35043628, 18129644, 81223123, 41655514, 11338106, 90094578, 111990598, 31066633, 71615469, 18894141, 148538614, 112560591, 2444823, 10053466, 31519399, 128972561, 29984501, 179717430, 49929162, 34088334, 15072477, 43176167, 197404505, 255681400, 4139590, 21147669, 2103300, 188706743, 8378264, 219205449, 7603521, 98273341, 154444328, 104405048, 15322229, 109689335, 11142073, 26317362, 98105615, 4765507, 210379947, 12349849, 169195268, 5528881, 198464992, 16076309, 27794976, 87331021, 43097546, 4878219, 98129014, 70232012, 31917060, 86843576, 68029201, 189267697, 43117440, 97305873, 33395442, 68155298, 83562185, 10375497, 131606927, 3446680, 25010263, 11128502, 79206810, 2551906, 37799964, 30575984, 328799599, 14124872, 164224496, 71500726, 77948442, 19249411, 92103718, 33275755, 68461489, 152145799, 56872092, 23136344, 192082432, 34969278, 30838529, 73828439, 1514068, 7492623, 289513648, 11382555, 20286424, 5229812, 9904138, 6371671, 42197239, 30702354, 99076151, 76958233, 53806064, 28666453, 72897046, 178189527, 62693356, 43313435, 26093144, 68911876, 31533926, 152283894, 108892514, 77025658, 15882741, 13472461, 26835622, 9219250, 39902837, 74270278, 103526719, 54314133, 1622103, 131706706, 106760522, 298087002, 13486249, 8385885 ], [ 24568957, 38167608, 9024081, 7150769, 136245013, 7829423, 31193508, 171583991, 25044537, 280269153, 151853792, 31066633, 84520594, 21677042, 110703301, 508383, 76141940, 42888067, 21654249, 28941804, 69861726, 32850825, 21713276, 34088334, 21710163, 163246600, 7868675, 46274253, 4139590, 21147669, 108267654, 35171608, 8378264, 53230853, 96931726, 41163899, 10200895, 118041557, 53513690, 53469199, 188043164, 39668587, 48191817, 4765507, 21892434, 10151165, 34089368, 145062040, 14335983, 78224680, 45360791, 38680821, 45328380, 49755262, 70429391, 28456575, 55492492, 17053198, 14648640, 52082945, 113427973, 24643627, 166247101, 48164330, 91914071, 23458859, 110304335, 20876282, 10904351, 11128502, 42411904, 178537767, 104330210, 11171053, 1624088, 116247650, 75252481, 97857801, 16528031, 19249411, 167693505, 46523739, 100849914, 152145799, 17520731, 23136344, 18489523, 43126127, 52984891, 15761147, 181039342, 103803561, 23401976, 94201388, 199466645, 28933106, 47946239, 37954664, 15088616, 9350717, 230229339, 20750624, 22173503, 132324476, 108013928, 10148911, 2476592, 226223043, 26093144, 62353353, 31533926, 9904780, 60555744, 48443922, 54283146, 39766313, 14187457, 77926855, 61564158, 83135938, 7805551, 25533915, 85358323, 4241466, 323169421, 56493094, 13486249, 41981400 ], [ 182047471, 8182231, 21330488, 74511019, 136245013, 130897950, 113332187, 19219560, 931186600, 77931079, 363787031, 66909405, 47626277, 167840641, 292137000, 24402068, 18518610, 95068538, 51287163, 138673085, 141348506, 46042705, 35776191, 6828228, 8151623, 186359703, 6583782, 187514010, 4139590, 9811063, 63664709, 51657916, 130629805, 167774481, 9919743, 225807495, 128095476, 28571661, 190970039, 194479144, 31338498, 39668587, 88954935, 22668122, 239972320, 89301776, 84757146, 145062040, 51165859, 223778508, 26014536, 87331021, 12789386, 230357161, 27797964, 13802806, 179471924, 57345974, 14648640, 96586250, 39023430, 157796681, 166247101, 27329795, 94637722, 26241366, 131606927, 541277244, 50326426, 11128502, 263124701, 104722467, 26179740, 60270550, 8233690, 29962433, 172998400, 63985327, 34995544, 3675524, 85817213, 42748598, 176688449, 350381370, 371790041, 23136344, 13056567, 29346448, 52984891, 30310893, 30762982, 7492623, 30136489, 19222845, 162806035, 319634383, 113461032, 1404637, 26411500, 11906551, 34106062, 22447868, 64410245, 51981913, 55830316, 67930568, 74355201, 101595320, 2458123, 47500651, 43458299, 18668880, 72523876, 164839428, 83707572, 77874438, 14187457, 256048985, 24346444, 83135938, 39880510, 20750769, 18817578, 41144003, 208043842, 142619239, 7087443, 82023210 ], [ 63235793, 9676401, 14305893, 117514230, 125013236, 7829423, 29738778, 55032171, 31816588, 62118463, 23414985, 55136879, 71615469, 63070458, 49497578, 24402068, 98507634, 10053466, 51287163, 25067792, 219584903, 21242581, 54507159, 24421164, 35039571, 455495, 1271261, 166038206, 36979083, 9811063, 6659009, 6414485, 46035848, 153308087, 9919743, 87785491, 31600162, 1603603, 123466888, 26723723, 17410174, 13424672, 49905013, 22668122, 49963491, 5564078, 25188003, 354554332, 106295078, 27039624, 26014536, 36602426, 51243350, 128500669, 64904060, 2727951, 104077838, 71019915, 11163758, 11524488, 4435304, 48287149, 19831174, 15008321, 180005608, 23458859, 1604517, 3934247, 23333317, 8937545, 27213168, 104722467, 26179740, 89223440, 20588532, 37740009, 687837, 48312578, 19353368, 27824878, 38633454, 31954397, 24766906, 1567244, 8841244, 23974405, 61441404, 125779475, 52984891, 30310893, 90594670, 7492623, 30136489, 19222845, 15272083, 65146730, 9898363, 22454238, 91533590, 30702354, 30132042, 22447868, 64410245, 28666453, 29603894, 40136533, 45171088, 43313435, 2458123, 45761004, 31533926, 152283894, 15551457, 104893278, 41777421, 13207700, 8268373, 9219250, 24346444, 94962878, 12441027, 19488774, 127066446, 75288835, 140132668, 49757387, 7087443, 18338483 ], [ 224415304, 97085922, 91521943, 218893519, 136245013, 6849172, 81223123, 71961339, 32302415, 218481368, 49979655, 1616244, 71615469, 69439694, 44876244, 225071980, 108925702, 29752140, 51287163, 38983859, 29984501, 66223794, 54507159, 34088334, 32404941, 69170447, 74057768, 316605383, 85673659, 21147669, 145809542, 70712698, 130629805, 19490018, 9919743, 23557912, 89979232, 263074053, 157474672, 136808508, 19096358, 30692901, 98787651, 124972417, 239972320, 86854570, 71386557, 145062040, 113581137, 39964883, 26014536, 87331021, 45328380, 67955405, 98129014, 86751626, 179471924, 237402057, 11163758, 279690392, 4435304, 163526627, 33395442, 135659761, 39085807, 23458859, 31913152, 55342652, 56569988, 11128502, 143966501, 104722467, 104330210, 12467909, 55101405, 116247650, 194068910, 201991267, 42689503, 74104424, 38633454, 261392942, 385159745, 59730645, 263189849, 23136344, 55825275, 103012952, 74453127, 56252726, 28854300, 7492623, 193560151, 19222845, 125728427, 5229812, 5674697, 43573138, 8006431, 57612447, 25234297, 139313322, 12279330, 207724249, 108013928, 10148911, 136640195, 199328976, 35164341, 94194490, 31533926, 115941943, 69997795, 91797596, 303024978, 77874438, 123359600, 16739323, 1588375, 94962878, 282759339, 78278007, 6464083, 39724630, 24014812, 166270172, 183648095, 158189237 ], [ 6925873, 97085922, 31671979, 154723524, 33277103, 6849172, 81223123, 24065146, 11338106, 14650532, 49979655, 55136879, 13688128, 39175709, 57273016, 59170089, 21648735, 1320109, 51287163, 56392526, 29984501, 183131299, 48133062, 548401, 16194653, 3571107, 17558543, 46274253, 4139590, 21147669, 145809542, 184885185, 84750248, 85140034, 144196428, 23557912, 85660278, 55837967, 58378409, 36700884, 85422202, 7658704, 49905013, 124972417, 110729160, 12150853, 46963576, 145062040, 79187697, 92707767, 26014536, 86665551, 81248013, 67955405, 17366602, 109120229, 179471924, 71019915, 14648640, 82513676, 4435304, 30767542, 33395442, 48164330, 189214701, 23458859, 31913152, 20876282, 78939097, 11128502, 22704879, 95555113, 43998752, 60270550, 20588532, 49670432, 142157452, 176216109, 76316761, 19249411, 76332171, 48006655, 24766906, 26791723, 113960282, 23136344, 103652434, 119620429, 121733072, 70211021, 173975946, 45603640, 8702321, 19222845, 64417613, 5229812, 60000096, 6700497, 129944624, 81208466, 141799632, 79870237, 46124803, 2842731, 165357810, 36869337, 3435798, 147679693, 35164341, 27641439, 8198026, 62647959, 1957091, 85561760, 127141155, 71561743, 14187457, 240264722, 39902837, 60769819, 50346292, 67476139, 85358323, 35781802, 74621554, 91777797, 54663602, 8385885 ], [ 19594632, 83328899, 33583085, 66978882, 33277103, 7829423, 107609252, 130453420, 32302415, 75684873, 49979655, 38819351, 9308073, 226333816, 129326216, 179509560, 7619152, 9776124, 41968611, 6868206, 69861726, 106274149, 54507159, 8780050, 8151623, 117016792, 230950448, 31043805, 4139590, 9811063, 111325205, 4276608, 128430998, 98640657, 7484608, 99940283, 85660278, 56882824, 60575621, 92555797, 188043164, 77763628, 98787651, 124972417, 121616723, 5564078, 81676722, 5528881, 84387194, 45529521, 26014536, 87331021, 12789386, 11660676, 19552087, 13802806, 179471924, 6044690, 14648640, 185330927, 3042389, 97305873, 110790356, 6516991, 758187, 13464304, 31913152, 11729070, 11960713, 8937545, 140177897, 89340602, 26179740, 3573302, 20588532, 29962433, 42363566, 61991755, 29617518, 19249411, 40305110, 33612121, 93224471, 128254842, 8841244, 9750518, 55825275, 24877706, 48669013, 25018842, 25901517, 7492623, 8702321, 19222845, 15272083, 21673371, 9904138, 15323433, 26411500, 30702354, 128594277, 13969355, 22173503, 28107, 83503572, 134518649, 38076923, 43313435, 35164341, 81933308, 31533926, 96419578, 52071012, 15844133, 41831832, 71561743, 14187457, 9219250, 24346444, 83135938, 7805551, 20750769, 23094998, 39724630, 129515953, 45568316, 35388483, 82023210 ], [ 24568957, 38167608, 113505080, 74511019, 5595091, 7829423, 81223123, 71961339, 11338106, 172303737, 49979655, 28429720, 71615469, 69439694, 50053741, 114712881, 18518610, 37588023, 29159332, 28941804, 29984501, 88262117, 54507159, 34088334, 8151623, 34974794, 49385758, 19528142, 4139590, 147522623, 80691168, 120073101, 46035848, 85140034, 9919743, 52512232, 59625208, 175444902, 149568152, 161168419, 131749997, 10259202, 5403274, 5421630, 251836186, 8738751, 91975986, 87066904, 136861741, 89121664, 26014536, 87331021, 1400950, 49755262, 64904060, 87103583, 43914670, 57345974, 11163758, 77446354, 4435304, 140390276, 33395442, 36769191, 184715893, 8767110, 31913152, 8461208, 50326426, 11128502, 106101225, 25616976, 73522015, 1839938, 61216899, 29962433, 39663821, 183581583, 29617518, 19249411, 38633454, 28654178, 60195833, 140595432, 94396060, 23136344, 107412209, 125779475, 112453422, 30310893, 1357031, 7492623, 23401976, 120496216, 15272083, 5229812, 113461032, 31740198, 114793140, 7723338, 30869059, 79870237, 22173503, 252279, 19937624, 86292694, 25666610, 58570577, 35164341, 27641439, 7723792, 35646354, 8274661, 118996295, 93419607, 226901, 14187457, 92925563, 19888394, 7574241, 7805551, 67476139, 142662399, 6968384, 159456483, 142619239, 54663602, 8385885 ], [ 101214096, 97085922, 67364443, 81992835, 125013236, 48019938, 81223123, 281574122, 47429823, 31902685, 151853792, 12897912, 162302188, 61808359, 57273016, 158925402, 61447780, 1320109, 29159332, 107071972, 29984501, 45003264, 4661694, 34088334, 93047836, 47168326, 62365439, 46274253, 4139590, 21147669, 49192785, 12143737, 130629805, 228667214, 44778343, 107832548, 37159154, 90589342, 82956858, 66723854, 38675078, 10259202, 5403274, 5421630, 141293504, 8738751, 21595824, 31656366, 220904971, 223778508, 26014536, 210509545, 1400950, 42900246, 2219404, 50204448, 80458134, 4032109, 11163758, 279690392, 4435304, 55348376, 33395442, 36769191, 184715893, 29759458, 49483502, 20876282, 120193397, 11128502, 106101225, 25616976, 202719660, 60270550, 70103268, 99667754, 129678338, 11126181, 76316761, 19249411, 7034378, 26621193, 24766906, 26791723, 315316446, 23136344, 110770923, 143590005, 51205941, 31631278, 375709343, 114032897, 72104238, 19222845, 50598703, 5229812, 113461032, 43573138, 167337870, 22205311, 250550913, 79870237, 64410245, 28666453, 49190075, 74392879, 25666610, 199328976, 35164341, 63311511, 27387646, 216126185, 110012260, 156407033, 218974928, 37966319, 14187457, 85245902, 19888394, 7574241, 47563801, 58363570, 49654188, 78707398, 333147, 208729519, 54663602, 122000319 ], [ 407326892, 159635243, 91521943, 80487212, 25910147, 6849172, 198472436, 133219131, 128101745, 71013518, 49979655, 320557931, 272546140, 307610120, 290874010, 477406369, 108925702, 29752140, 51287163, 128972561, 500889888, 300035942, 14273947, 6828228, 79409986, 137794197, 311684793, 173305338, 67213595, 21147669, 182484876, 385182958, 266716304, 552131418, 65235659, 23557912, 89979232, 1114326301, 209717285, 101321538, 155161187, 570585111, 17055804, 201323149, 239972320, 72681927, 1080688027, 5528881, 42954974, 87439946, 252946215, 211545236, 81248013, 300704261, 115547, 752862569, 158294532, 182765512, 14648640, 13506570, 416883383, 159170302, 110790356, 23951579, 189214701, 139221672, 31913152, 727817182, 11948836, 478026604, 143966501, 104722467, 195213509, 272079305, 500784277, 180806591, 210188509, 468464702, 95255415, 220942899, 287737022, 240350028, 93224471, 853063578, 473890971, 23136344, 346554452, 108332912, 48669013, 399278224, 272329924, 5334725, 236699361, 19222845, 151907443, 44916132, 399768441, 1404637, 110766261, 205045179, 303146022, 81934491, 164107112, 33373381, 18629613, 134518649, 160122026, 291330493, 35164341, 296618669, 117010677, 13600031, 130058598, 91797596, 303024978, 77874438, 14187457, 271904454, 79851375, 211084491, 10094996, 83592644, 26588718, 78707398, 208043842, 86728952, 345799692, 202311234 ], [ 115553475, 83328899, 68189286, 188306336, 4366148, 190965761, 417438507, 53305437, 47429823, 179567716, 3974000, 28429720, 24388200, 111168724, 42168911, 16113292, 35635354, 102060070, 29159332, 138673085, 61315757, 183131299, 54507159, 115528222, 67546093, 47168326, 30126758, 262512092, 4139590, 27211642, 216228118, 9752379, 29503926, 75366654, 119937402, 102605180, 59625208, 90589342, 112592294, 29753204, 63642086, 10259202, 49905013, 124972417, 43195851, 128954548, 46963576, 67399139, 31732514, 147982748, 26014536, 72247099, 703502272, 211551143, 30731264, 34775875, 36861632, 1805072, 14648640, 39033070, 63088567, 93216213, 57734174, 23035892, 72999968, 9567324, 40681939, 35334275, 107120011, 11128502, 65080746, 104722467, 349379399, 60270550, 412575947, 181811687, 39663821, 48199195, 95255415, 19249411, 5989126, 28654178, 24766906, 531061205, 43412957, 23974405, 107412209, 143590005, 146471121, 40616298, 1357031, 114032897, 26591430, 194902627, 46717794, 88201049, 26063013, 1188718, 155831722, 148252258, 221091815, 106473325, 64410245, 114835017, 208264409, 170542, 160122026, 140182607, 35164341, 63311511, 26595740, 123416872, 130058598, 75181303, 7416612, 77874438, 14187457, 85245902, 606509015, 7574241, 73486107, 259336814, 87598221, 78707398, 208043842, 83112910, 54663602, 55709829 ], [ 222443112, 97085922, 13184479, 277387486, 114136909, 42600000, 129549792, 53305437, 11338106, 150264207, 30421189, 74243328, 71615469, 69439694, 57273016, 225071980, 35635354, 115646117, 51287163, 27144410, 69861726, 27427457, 36959058, 34088334, 101437440, 47168326, 16674892, 46274253, 62672547, 18419991, 32318278, 255559107, 92420806, 44798675, 9919743, 85640395, 65108091, 524586, 9985536, 26723723, 36108440, 7658704, 376941, 5421630, 20869166, 86854570, 46963576, 145062040, 153289754, 145372752, 26014536, 98461212, 161036725, 67955405, 74241463, 157474899, 158560551, 436976081, 55433263, 39228823, 111941926, 163526627, 57734174, 3549008, 72976433, 4770883, 14863115, 20876282, 21364041, 11128502, 106101225, 25616976, 74810044, 130712933, 63530427, 37740009, 142157452, 43735364, 19353368, 108979105, 248682276, 301869348, 24766906, 79957589, 140798236, 23136344, 55825275, 81671261, 14406541, 146370220, 63572953, 7492623, 61543410, 19222845, 264493512, 87514226, 54529032, 43573138, 293317472, 1307595, 289957966, 139313322, 64410245, 2842731, 29603894, 21902465, 160122026, 199328976, 32857505, 253823861, 49678368, 115941943, 17980645, 156407033, 269228986, 77874438, 123359600, 352223536, 11257760, 73748548, 32182005, 10996978, 85358323, 12797032, 24014812, 208729519, 7575934, 8385885 ], [ 69130284, 13262061, 57791115, 66718259, 47287515, 6849172, 5481880, 10728620, 31816588, 5465827, 30421189, 61471504, 22757081, 63070458, 57273016, 200249813, 35635354, 29752140, 37678288, 107071972, 29984501, 27762995, 49929162, 13165614, 38492456, 6968936, 16674892, 143192, 4139590, 21147669, 32318278, 9752379, 130629805, 19490018, 37509019, 23557912, 65108091, 53042745, 7090472, 29753204, 161630182, 7658704, 168913838, 5421630, 43195851, 86854570, 8899107, 145062040, 153289754, 39964883, 26014536, 86665551, 55729082, 28863318, 35936643, 37183143, 62455482, 1805072, 14648640, 62030937, 17639151, 35379752, 33395442, 48164330, 39085807, 9567324, 9199391, 35334275, 33210131, 11128502, 94932526, 25616976, 37333848, 11856924, 137897006, 116247650, 111004763, 130565957, 24397799, 19249411, 5989126, 19467499, 22896138, 94155543, 140798236, 23136344, 34081857, 65859679, 36523646, 31631278, 28854300, 120288385, 64105129, 19222845, 103334957, 31237302, 47946239, 23759464, 194911916, 32328827, 25234297, 79870237, 52718830, 2842731, 71135485, 12733999, 79488064, 43313435, 12933874, 63311511, 31533926, 115941943, 123661664, 37336078, 54283146, 77874438, 1330228, 9219250, 1231057, 22717768, 87973016, 67476139, 6464083, 78707398, 333147, 29646304, 54663602, 85240760 ], [ 6925873, 22529708, 9024081, 22213106, 57337806, 7829423, 76975234, 2401659, 32302415, 16677736, 23414985, 36675643, 31932527, 6355329, 57273016, 142077666, 10545885, 78537317, 37678288, 12230160, 155369916, 35786872, 54507159, 34088334, 15072477, 455495, 70439458, 2566108, 36979083, 9811063, 33422527, 30479417, 5807442, 19490018, 9919743, 22598478, 63462593, 547060, 3330344, 37153598, 74479447, 19494935, 37838831, 5421630, 43195851, 5564078, 12536229, 11350338, 106295078, 85786520, 11554471, 72386568, 45328380, 49755262, 74241463, 10654555, 21636417, 1805072, 37426797, 149653581, 42143845, 48882814, 29661396, 3549008, 36093689, 13464304, 31892376, 20876282, 8984177, 11128502, 27213168, 3453250, 26179740, 12467909, 42018138, 41768460, 42363566, 31343280, 44841138, 26225179, 78255223, 51068483, 24766906, 45077948, 8841244, 23136344, 17360323, 124185777, 12401745, 73828439, 7898527, 7492623, 23401976, 19222845, 102173972, 56469888, 23506483, 43573138, 71329663, 9350717, 25234297, 22447868, 22173503, 70201098, 79147676, 10148911, 30097089, 3824292, 71707159, 63311511, 31533926, 13449488, 93898343, 32558516, 23536374, 7858591, 34783453, 40316324, 19888394, 31463377, 1724711, 9601057, 6464083, 12797032, 24014812, 45892593, 39011870, 21660261 ], [ 6925873, 97067234, 57791115, 27899268, 31489243, 31828363, 29738778, 92093921, 47429823, 25782497, 33741451, 74243328, 89693520, 39175709, 13960251, 16113292, 35635354, 65745569, 40806881, 91072366, 96341735, 18055061, 54507159, 27454299, 54094587, 47168326, 26468430, 5432891, 30067257, 9811063, 6659009, 30479417, 33744510, 18333928, 13380429, 22598478, 140274632, 23545026, 28832570, 26723723, 36108440, 7658704, 114412716, 92974437, 47671395, 11684360, 15905892, 33027000, 212705378, 7867055, 26014536, 72386568, 15119195, 211551143, 74241463, 13802806, 55492492, 35165228, 31879547, 82513676, 35213388, 143940285, 77937664, 59464778, 48619811, 8767110, 9199391, 3498867, 63628992, 6305305, 93913472, 57092899, 26179740, 20330484, 235792043, 96863889, 37593229, 36564773, 2203688, 37466341, 32841572, 19213264, 24766906, 28636856, 61016156, 105462423, 48925734, 15301898, 9535770, 15465939, 10140347, 120288385, 47854487, 51195759, 11855634, 105752443, 63753642, 43573138, 114793140, 82379273, 60677187, 22447868, 46124803, 2842731, 29603894, 44098345, 1030147, 135052284, 35164341, 46738299, 49678368, 93405207, 10387940, 132767123, 19785035, 77874438, 6292514, 85245902, 19888394, 51565532, 32182005, 173373389, 11210743, 75288835, 74621554, 222410916, 39011870, 26049020 ], [ 24568957, 97085922, 56736732, 74511019, 71706269, 7829423, 81223123, 159809555, 74851581, 303646787, 3974000, 38739278, 71615469, 75666424, 55628023, 51959001, 18518610, 37588023, 51287163, 28941804, 29984501, 47669610, 39613731, 34088334, 8151623, 13378275, 1423423, 46274253, 4139590, 21147669, 32318278, 26870932, 29503926, 58495579, 8708250, 22598478, 48046463, 39176279, 4439019, 21674560, 81249002, 36854248, 98787651, 5421630, 114862012, 86854570, 177051247, 35104170, 111660739, 24496744, 26014536, 72247099, 12789386, 67955405, 30731264, 23754173, 36861632, 24490343, 11163758, 13928676, 66163271, 69480840, 33395442, 3549008, 151568753, 8282929, 6272103, 20876282, 26803841, 11128502, 96556219, 10809602, 104330210, 6787830, 55101405, 116247650, 181914078, 183581583, 42689503, 19249411, 76332171, 1920024, 165654699, 47992091, 228060825, 23136344, 55825275, 143590005, 74453127, 73828439, 41389283, 7492623, 33788022, 19222845, 31924856, 5229812, 26063013, 43573138, 8006431, 113839997, 58625715, 139313322, 43971453, 16685078, 18901783, 1623766, 14861593, 43313435, 35164341, 22108017, 31533926, 78714924, 2747877, 87002446, 39972636, 1778507, 14187457, 9219250, 19888394, 51565532, 51977942, 18566907, 49110469, 6968384, 3881236, 34901037, 54663602, 28065859 ], [ 24568957, 13262061, 57791115, 124334279, 36704992, 6849172, 7199722, 35571681, 31816588, 118506485, 3974000, 60970584, 22757081, 206485095, 36634874, 24380805, 5108623, 29752140, 59267004, 107071972, 29984501, 66223794, 45201766, 8851008, 15072477, 743433, 147914446, 2566108, 4139590, 6892817, 33422527, 30580668, 29503926, 19490018, 9919743, 23557912, 140274632, 60030229, 148031411, 14017762, 36108440, 124550739, 98787651, 5421630, 203826694, 126359690, 25188003, 3407161, 84387194, 85786520, 13233329, 21583334, 45328380, 28863318, 15695663, 22274848, 36861632, 164215030, 11163758, 191021836, 45375838, 35379752, 33261372, 15008321, 180005608, 5954598, 23660337, 4267729, 41661442, 11128502, 94932526, 25616976, 104330210, 11856924, 99607073, 28364330, 142157452, 220915522, 10845223, 1468693, 78255223, 26643851, 24766906, 183263655, 6600791, 20754028, 158495790, 63306276, 48669013, 73828439, 28854300, 7492623, 53375586, 19222845, 67678000, 5229812, 113461032, 43573138, 114793140, 53249682, 25234297, 88356753, 7145079, 33373381, 29603894, 10148911, 42007041, 43313435, 8391882, 94194490, 31533926, 63579621, 19576805, 91797596, 144199753, 77874438, 4778538, 9219250, 19888394, 83135938, 7440492, 91501237, 6464083, 145212191, 238374472, 102896638, 54663602, 6315096 ], [ 13046742, 97085922, 91521943, 276434653, 77756416, 3872923, 81223123, 130453420, 47429823, 60147822, 49979655, 55136879, 34019496, 111168724, 57273016, 16113292, 35635354, 1320109, 235758103, 107071972, 29984501, 47669610, 54507159, 34088334, 67546093, 13378275, 16674892, 46274253, 36979083, 9811063, 32318278, 1452202, 130629805, 187666223, 9919743, 36560465, 15948992, 90589342, 50111546, 194479144, 11142073, 179412509, 49905013, 5421630, 47671395, 3142110, 18794941, 17001287, 331134396, 223094416, 26014536, 67066573, 51243350, 67955405, 17366602, 13802806, 69399563, 71019915, 11163758, 15659086, 63088567, 69480840, 33395442, 47980771, 184715893, 42677988, 31913152, 20876282, 78939097, 11128502, 106101225, 12631605, 26179740, 118429636, 20588532, 116247650, 79863692, 141833146, 76316761, 108979105, 38989920, 156045941, 24766906, 111123337, 228060825, 23136344, 143989921, 143590005, 223189329, 146610478, 52524814, 7492623, 72104238, 108569573, 77420654, 5229812, 26063013, 43573138, 272014843, 285271196, 199830740, 22447868, 64410245, 16685078, 51603924, 150049881, 135963468, 199328976, 35164341, 25905902, 138038731, 73210852, 86802274, 132767123, 72834709, 77874438, 14187457, 85245902, 19888394, 94962878, 73416608, 76350134, 25747478, 78707398, 33056497, 83112910, 127159915, 158189237 ], [ 197486146, 22529708, 20551867, 43382058, 70390093, 6849172, 81223123, 23676124, 30982979, 21790711, 49979655, 55136879, 34019496, 32688824, 47119380, 26659953, 40855158, 29752140, 29159332, 16546424, 29984501, 58299283, 49929162, 34088334, 71670348, 47168326, 9428168, 16485421, 4139590, 9811063, 90105736, 12247458, 130629805, 231486167, 9919743, 23557912, 2170412, 12448949, 80845195, 36700884, 77659118, 10259202, 5403274, 124972417, 141293504, 139802839, 46963576, 33027000, 21775371, 47986411, 26014536, 72386568, 1400950, 67955405, 17366602, 13802806, 69399563, 49122919, 11163758, 89174786, 4435304, 96510512, 33395442, 48164330, 54474884, 23458859, 31913152, 12512447, 78939097, 11128502, 30757633, 28228757, 26179740, 60270550, 33384915, 116247650, 100297601, 42159915, 95255415, 7071017, 38633454, 99339, 24766906, 140595432, 110039255, 23136344, 71541590, 143590005, 38708815, 45315856, 191962791, 7492623, 29804875, 19222845, 15727200, 5229812, 23506483, 16829863, 8006431, 81208466, 152832690, 22447868, 53806064, 32618036, 51603924, 20789974, 25666610, 21571738, 35164341, 94194490, 7723792, 28372938, 26425440, 91797596, 93679931, 57992865, 14187457, 9219250, 19888394, 7574241, 51613150, 52483384, 104927712, 78707398, 62547840, 49757387, 54663602, 38135610 ], [ 63235793, 35208905, 40672129, 218286599, 25910147, 75304809, 63410151, 77503334, 47429823, 53988238, 45869835, 43572112, 4691642, 13920403, 57680618, 204269182, 108925702, 29466415, 51287163, 46032413, 116079608, 338984638, 45717717, 85801448, 1830157, 43176167, 90537213, 8874972, 5083551, 9811063, 78104164, 225332900, 130629805, 187451739, 9919743, 2396437, 56215101, 180202117, 83834781, 49583705, 11142073, 128252841, 17145912, 124972417, 5308609, 6542977, 46963576, 5528881, 47620357, 1792794, 27794976, 10030682, 51243350, 147623174, 47110452, 13802806, 150685790, 4032109, 11163758, 105700362, 426766574, 48287149, 38504136, 23951579, 25872681, 15377231, 31913152, 116873020, 36603489, 11128502, 143966501, 104722467, 26179740, 60676671, 1476990, 109085950, 142157452, 4232416, 95255415, 108979105, 334235957, 46820316, 24766906, 26791723, 6163357, 23974405, 101146882, 143590005, 48669013, 111060086, 213102055, 7492623, 112610509, 19222845, 151907443, 44916132, 9904138, 43184542, 30547542, 30702354, 268804054, 22447868, 37162242, 15381447, 18629613, 47933524, 207399007, 260604983, 123049042, 251751331, 15589353, 70875298, 108892514, 55059277, 163229229, 77874438, 14187457, 10451778, 24346444, 11520981, 98344, 188534152, 156462151, 60554761, 97987349, 86728952, 64737594, 4539843 ], [ 17249891, 11621756, 91521943, 50682523, 5044895, 38081745, 17535596, 118341417, 11338106, 46645286, 30421189, 57540911, 4691642, 174118816, 60024777, 90122858, 108925702, 35210160, 29159332, 28941804, 69861726, 171549254, 54507159, 34088334, 21412844, 46559750, 9428168, 79585245, 4139590, 9811063, 32318278, 17532722, 92420806, 22539904, 27966407, 47217312, 15948992, 253950795, 9985536, 44441127, 110115520, 10259202, 62293749, 53333722, 158761265, 72681927, 46963576, 5528881, 153289754, 223778508, 26014536, 18889831, 39673329, 154866463, 5938717, 13802806, 22877542, 7865970, 14648640, 22211458, 120023310, 23051941, 62624645, 47980771, 52369540, 4770883, 31913152, 99213742, 78939097, 11128502, 65080746, 154347737, 26179740, 23540961, 198435522, 95595009, 100297601, 60945208, 90014586, 19249411, 283824684, 64418491, 24766906, 77393804, 126310621, 23136344, 59978117, 71012109, 48669013, 73828439, 9736725, 66028610, 100822825, 108569573, 87925954, 5232805, 49803073, 25191552, 37295536, 91188946, 5551341, 22447868, 18758854, 28666453, 19451382, 91068095, 36849268, 110035238, 35164341, 63829230, 68264980, 28372938, 17980645, 44661033, 256508228, 40457437, 14187457, 4263372, 24346444, 7574241, 43942944, 84295853, 48791520, 78707398, 62547840, 144915952, 20692942, 8385885 ], [ 182047471, 540580409, 91521943, 311917730, 136245013, 186682139, 115046075, 130453420, 382988214, 233495439, 366953735, 115970893, 71615469, 113308800, 242399970, 198888848, 546130458, 121242087, 51287163, 128972561, 609189199, 391449519, 54507159, 207791541, 9825495, 163246600, 202725313, 2566108, 36979083, 9811063, 17574236, 282275180, 266716304, 326436916, 9919743, 149559773, 89979232, 175444902, 786167527, 521644441, 161630182, 570585111, 49905013, 83761014, 263303693, 181581527, 541328726, 5528881, 230422391, 24824274, 252946215, 120801518, 232031382, 397982910, 245613616, 13802806, 179471924, 66324518, 14648640, 279690392, 17221190, 300137156, 154824488, 16204944, 189214701, 137077539, 131249847, 736442572, 17647703, 156704962, 178660193, 104722467, 26179740, 272079305, 37820384, 29962433, 60974175, 230755442, 95255415, 186589346, 55686505, 156045941, 266090574, 163112204, 165160538, 23974405, 143989921, 143590005, 48669013, 372295606, 602513435, 7492623, 26591430, 108569573, 98214962, 255223473, 157134313, 43573138, 235760165, 151296504, 854478669, 22447868, 78351609, 33373381, 455005016, 64358694, 310368473, 316671558, 250571713, 328108183, 43458299, 152283894, 78763106, 18100775, 243081979, 77874438, 14187457, 825917785, 24346444, 94962878, 271186117, 295251508, 55631223, 28573347, 38673381, 142619239, 63820749, 53692391 ], [ 77913391, 13262061, 9024081, 47660980, 71706269, 32711496, 15454074, 34842381, 32302415, 371201312, 49979655, 45332816, 84520594, 2645397, 22090208, 185523082, 22437720, 35210160, 59267004, 123859956, 29984501, 45975183, 52292132, 34088334, 15072477, 34974794, 17558543, 59048183, 85673659, 21147669, 140115080, 252186649, 122536234, 90961544, 45263395, 36940399, 20425408, 111662677, 17080176, 21674560, 87844608, 19494935, 244459280, 84396464, 31275195, 10151165, 21942498, 145062040, 38040781, 85786520, 26014536, 67928995, 81248013, 49755262, 98129014, 10654555, 177760154, 163165397, 14648640, 232326890, 362628039, 42045524, 33395442, 31651261, 151568753, 81564991, 9199391, 116873020, 56569988, 11128502, 81048222, 113682981, 104330210, 96613055, 63530427, 21353698, 16066114, 25369199, 42689503, 26225179, 76332171, 30518055, 36793278, 56682344, 37309854, 23136344, 55825275, 115211038, 31023475, 73828439, 40205379, 50703133, 23401976, 19222845, 87932614, 5229812, 63753642, 43573138, 41884179, 9350717, 25234297, 31755361, 22173503, 45051428, 165357810, 21902465, 192028248, 110035238, 17865748, 25731143, 8198026, 115941943, 93898343, 108114763, 91062607, 77874438, 14187457, 5300437, 39902837, 90507478, 7805551, 67476139, 211483522, 27607506, 24014812, 166270172, 125526590, 21660261 ], [ 139991059, 22529708, 85886391, 21235571, 1773737, 7829423, 26933142, 53305437, 65736307, 124515762, 22697464, 45332816, 22757081, 204770706, 22090208, 80123828, 35635354, 148363555, 79016308, 95226100, 44133112, 66223794, 21764128, 49501596, 15072477, 43176167, 70384083, 61359642, 62672547, 6892817, 145809542, 259721378, 13784895, 68239283, 9919743, 75232070, 89979232, 43689900, 26395326, 29753204, 87844608, 4080470, 98787651, 124972417, 43287454, 181581527, 10632330, 237602268, 28791263, 39964883, 26014536, 86665551, 72630313, 19390578, 15695663, 3629458, 21636417, 287072804, 243767169, 221127417, 386062655, 70094402, 57734174, 70151576, 58642, 23458859, 131606927, 35334275, 56569988, 11128502, 218126122, 8782038, 244824252, 28730007, 115372855, 50922231, 120118830, 11159677, 19353368, 26225179, 76332171, 26643851, 22896138, 93680837, 94149337, 80260736, 34468502, 14137015, 3661891, 35255882, 195261194, 7492623, 239863127, 19222845, 70299931, 31237302, 23506483, 23759464, 272014843, 53249682, 25234297, 19536936, 64410245, 45185341, 71135485, 12733999, 47583747, 191729815, 8391882, 17299405, 136096908, 152283894, 34900327, 10652167, 130565569, 77874438, 153638749, 55427546, 28110601, 14662834, 32182005, 54314133, 43406717, 78707398, 120136023, 49757387, 57156642, 21660261 ], [ 274333149, 75324996, 91521943, 50809630, 25910147, 66892877, 54149084, 55032171, 268449, 71013518, 42522121, 9930027, 22757081, 63070458, 84375885, 4605955, 41394539, 10053466, 5312691, 6868206, 6925430, 65511781, 54507159, 65539495, 79409986, 12564057, 202725313, 25299453, 4139590, 9811063, 72112365, 29057547, 97274457, 302525105, 4479465, 22598478, 85660278, 90589342, 163467739, 16246749, 43352513, 49827831, 49905013, 105734302, 127645131, 20017302, 25188003, 92919430, 242611825, 212809955, 26014536, 87331021, 74873642, 28408093, 74241463, 13802806, 174078741, 71019915, 14648640, 47555846, 45613577, 60262969, 10055390, 48164330, 136944582, 23458859, 9199391, 3498867, 97546136, 11128502, 62636257, 176629267, 26179740, 60270550, 20588532, 41768460, 142157452, 36564773, 29617518, 19249411, 49042019, 629887, 1952855, 61282264, 12184028, 23974405, 47933954, 125779475, 16318277, 55132850, 87491641, 7492623, 8702321, 6493763, 15272083, 141875621, 63753642, 15323433, 16667125, 45332682, 18657994, 22447868, 56859134, 114835017, 18629613, 42055225, 14934828, 36943232, 12933874, 19265648, 8198026, 112277347, 108892514, 21505013, 15357683, 71561743, 5839865, 9219250, 24346444, 11442245, 10094996, 67476139, 15840429, 81277898, 38673381, 45568316, 51135862, 82023210 ], [ 24568957, 22529708, 13184479, 80487212, 42043486, 6849172, 157367015, 130453420, 31816588, 113450913, 23414985, 74243328, 71615469, 58558881, 399307665, 199333327, 108925702, 29752140, 59267004, 25067792, 274219147, 128249392, 54507159, 34088334, 35039571, 455495, 53625086, 46274253, 4139590, 9811063, 6659009, 17945446, 130629805, 84343562, 9919743, 23557912, 85660278, 125350875, 58378409, 48807174, 9411434, 105594232, 98787651, 744442, 166711317, 72681927, 113220501, 5528881, 124327222, 52982004, 26014536, 35569079, 81248013, 128500669, 19552087, 13802806, 9047331, 34742023, 14648640, 16330527, 3042389, 69428519, 72233703, 48164330, 3483023, 8767110, 1604517, 20876282, 23333317, 11128502, 27213168, 57092899, 26179740, 60270550, 20588532, 49776951, 39107390, 185524520, 95255415, 19249411, 130154792, 629887, 40525522, 59312652, 22500058, 23136344, 122509284, 16183558, 48669013, 73828439, 61417982, 7492623, 100685828, 19222845, 138778096, 56469888, 23506483, 43573138, 114793140, 210341802, 107474538, 22447868, 64410245, 28107, 38142407, 10452009, 47583747, 93866529, 118933817, 46738299, 31533926, 152283894, 62702179, 91797596, 138475855, 13207700, 6292514, 134045925, 24346444, 73748548, 50346292, 76350134, 10839648, 76804661, 124435769, 44593846, 35388483, 114732193 ], [ 1420552, 38167608, 91521943, 43872504, 16638560, 9244547, 81223123, 2963064, 25044537, 149486884, 86101458, 55136879, 101144324, 30073193, 41668777, 97040366, 61447780, 148363555, 2576077, 26948163, 29848094, 46042705, 54507159, 34088334, 15072477, 43176167, 70439458, 75995835, 44592370, 18419991, 17851763, 30580668, 13784895, 528225, 14959481, 36446164, 94016595, 90589342, 23580742, 26723723, 1692936, 26317362, 11857120, 1004199, 8672790, 10151165, 10632330, 59332556, 28791263, 89121664, 26014536, 98461212, 96358346, 28863318, 37348965, 557991, 179471924, 63465833, 59597355, 70346041, 38154238, 233628011, 33395442, 74046888, 139566993, 5954598, 7457762, 801991, 201693768, 8937545, 22704879, 104390564, 43998752, 97447020, 61216899, 17535400, 76450049, 153382927, 24397799, 26225179, 205277978, 1387681, 24766906, 45077948, 29354841, 23136344, 15703313, 125779475, 14533989, 15850384, 119485024, 9927402, 23401976, 19222845, 15272083, 5232805, 242640728, 33673721, 31461579, 3962925, 75257918, 79870237, 22173503, 114835017, 29603894, 115582686, 127582741, 7056005, 35164341, 17299405, 49678368, 70595766, 34900327, 1164866, 303024978, 7845512, 82300461, 55223196, 56693518, 23006383, 7805551, 23424037, 38535377, 3053059, 37146098, 99739753, 34395922, 82023210 ], [ 24568957, 6855765, 66688866, 20277454, 57868309, 7829423, 26933142, 5675382, 11338106, 40632810, 56884539, 68983851, 33479172, 61206658, 25672922, 11438991, 61447780, 1320109, 6662784, 19111562, 1549220, 46042705, 7966829, 34088334, 68491148, 3571107, 17558543, 46274253, 52541706, 21147669, 11037895, 30580668, 92420806, 19490018, 8708250, 22598478, 26161693, 28094698, 115364201, 26723723, 36108440, 7658704, 6687197, 5421630, 7150152, 6253966, 38907518, 14432925, 27452902, 27039624, 26014536, 86665551, 62071123, 21139736, 2219404, 86751626, 36801704, 30531816, 38478205, 140445479, 38154238, 96510512, 10055390, 15008321, 18108713, 5954598, 9199391, 3498867, 25329720, 8937545, 3851292, 25616976, 104330210, 12467909, 56088204, 17535400, 76450049, 25369199, 20106410, 28496534, 35219218, 11841208, 5999447, 12633242, 109913623, 23136344, 74075798, 125779475, 47087107, 15850384, 13926909, 28940122, 6532860, 9145814, 15272083, 5229812, 9904138, 43573138, 16667125, 30702354, 14369341, 39128055, 22800878, 2842731, 29603894, 1623766, 46887196, 1634069, 107785587, 29123636, 8198026, 129725334, 108328295, 1164866, 33231286, 3632897, 4778538, 49855642, 39902837, 11520981, 45827954, 11389182, 2419498, 66143214, 124435769, 21819546, 50635892, 4334444 ], [ 58835348, 22704961, 44621595, 74511019, 136245013, 7829423, 99240994, 77845630, 29126155, 28376413, 31372393, 74243328, 15469370, 43984272, 57273016, 15594252, 18518610, 148363555, 51287163, 37690172, 89229055, 151667559, 22909248, 34088334, 8151623, 32464945, 96003604, 82291641, 85673659, 18419991, 16904080, 48525486, 78201397, 19490018, 9919743, 180270267, 66556052, 150539085, 9985536, 26723723, 36108440, 112235017, 98787651, 58455906, 91602753, 130497810, 5866388, 91310114, 92826717, 34650908, 26014536, 48322024, 12789386, 67955405, 74241463, 58746990, 179471924, 6044690, 10622463, 67587974, 38154238, 163526627, 14045324, 48164330, 28367226, 4770883, 99055921, 98382021, 50326426, 11128502, 109538670, 86481500, 80307062, 12467909, 63530427, 94449962, 78766459, 25369199, 42689503, 26225179, 293184717, 26643851, 24766906, 45804300, 136457816, 23136344, 49670560, 100320188, 37520657, 73828439, 28854300, 7492623, 37978214, 19222845, 81916554, 87514226, 26063013, 43573138, 41613335, 2561521, 82796933, 79870237, 64410245, 203058744, 29603894, 112277713, 93672328, 124192456, 12933874, 109061347, 19506101, 75624451, 17980645, 74264414, 54283146, 3410255, 14187457, 8694502, 204682, 94962878, 173842184, 67476139, 6464083, 12797032, 82142274, 18615545, 13486249, 26619000 ], [ 6925873, 83328899, 91521943, 53684186, 47287515, 48434745, 40798206, 71961339, 15538033, 179567716, 23414985, 69354034, 8799657, 11534062, 14676184, 21034128, 7619152, 26833277, 29159332, 25067792, 29984501, 46042705, 7097485, 27454299, 4155465, 455495, 17511594, 1304284, 4139590, 9811063, 34202976, 48525486, 93886059, 12006748, 9919743, 22598478, 66028432, 27492701, 43112499, 21528292, 30038884, 10259202, 37838831, 22668122, 39598691, 10151165, 91975986, 14928801, 42823446, 15598921, 26014536, 33709547, 117148898, 21139736, 98129014, 13802806, 69399563, 7865970, 12434226, 43127622, 43935746, 3461683, 33395442, 48164330, 758187, 22041248, 9199391, 11729070, 1067378, 8937545, 27213168, 9613195, 26179740, 60270550, 18865190, 14812486, 402924, 31532024, 19353368, 19249411, 76332171, 26643851, 73106493, 32927799, 150650394, 11602440, 15324010, 32438638, 39498949, 3582477, 90594670, 7492623, 23401976, 19222845, 109055717, 89462776, 63753642, 43573138, 24291474, 8258553, 31953348, 22447868, 11205384, 37428103, 15798931, 58271000, 36320077, 38428254, 2458123, 48503409, 8198026, 24708084, 34900327, 18856686, 92818249, 20927397, 14187457, 134744943, 1695652, 7574241, 7805551, 54314133, 115333484, 75288835, 12114064, 71410598, 54663602, 54727878 ], [ 24568957, 97085922, 38914530, 117514230, 68797297, 7829423, 46118511, 11122756, 30376922, 16677736, 19436251, 12932150, 8799657, 63070458, 57273016, 21736456, 108925702, 148363555, 76057759, 69391895, 29984501, 46042705, 44994984, 34088334, 15072477, 46559750, 9823384, 325756812, 85673659, 15112262, 11037895, 30580668, 28190702, 19490018, 52865608, 15893949, 28636059, 33221467, 86884185, 26723723, 31338498, 39668587, 11857120, 22668122, 7150152, 5564078, 25188003, 59332556, 91800074, 145456404, 15383545, 170090749, 81248013, 15889489, 12922445, 1166550, 75648262, 7865970, 14648640, 58557296, 43571885, 24647788, 33261372, 48164330, 56354712, 5954598, 9199391, 89232709, 78939097, 11128502, 28194980, 53478404, 129111987, 12467909, 8233690, 44388396, 48982349, 150371670, 19353368, 2983819, 34159485, 2297877, 24766906, 23576199, 8841244, 23136344, 18630531, 63306276, 34809169, 30310893, 28854300, 276624154, 30136489, 19222845, 119176544, 50734731, 22338764, 43573138, 90706319, 32328827, 34106062, 10206982, 42410573, 604917, 29603894, 2904225, 102686208, 16500462, 2458123, 64760790, 49678368, 26827882, 4268130, 1164866, 24842932, 77874438, 4778538, 21044612, 146705618, 131820442, 7440492, 50404181, 6464083, 35781802, 149975785, 98178853, 39011870, 81159617 ], [ 264084109, 22529708, 38914530, 21235571, 25910147, 7829423, 39598297, 83687780, 29413603, 111941412, 264179485, 34610107, 71615469, 6816638, 13960251, 142056783, 141141881, 44778422, 51287163, 92591925, 89229055, 108950197, 54507159, 34088334, 31517016, 43176167, 131437002, 8874972, 121721416, 6892817, 33422527, 110489581, 12006529, 18333928, 9919743, 104817729, 56541915, 61408968, 110155120, 60821305, 76030421, 114480347, 98787651, 45341313, 137788241, 108704991, 37487653, 98960917, 102949115, 5410799, 26014536, 77325124, 134419068, 128500669, 12922445, 2284701, 92799709, 199915477, 15228668, 70766051, 116120428, 6827472, 41626309, 69828298, 189214701, 74830968, 29576158, 15472893, 82250551, 11128502, 19567076, 104722467, 31971366, 74828756, 20588532, 1314150, 65271602, 71500726, 169109617, 32034197, 334235957, 48006655, 148967269, 150209431, 269037145, 23136344, 1174716, 14137015, 149029918, 145536916, 61417982, 7492623, 80105262, 29784863, 7152899, 113269742, 9904138, 6823891, 27524355, 30702354, 432919146, 16133103, 27030575, 112552199, 18629613, 10452009, 40362663, 449926, 8391882, 48503409, 8198026, 152283894, 1250663, 142411009, 28700861, 77874438, 48268857, 43433668, 20525534, 72440784, 19021170, 67476139, 42882095, 2566133, 72775743, 14470948, 233926784, 19977384 ], [ 82816544, 25627318, 24442142, 27899268, 33277103, 12160093, 13110491, 1459375, 5001174, 16677736, 119367130, 15642840, 71615469, 75666424, 57273016, 18429975, 18518610, 9309138, 166849125, 19695057, 96341735, 14493581, 54507159, 34088334, 8151623, 82412900, 58205030, 31043805, 45758650, 21147669, 90691877, 9752379, 30480996, 19490018, 9919743, 22598478, 180747421, 81995761, 42945998, 37153598, 155118057, 15388715, 56364630, 40817484, 29750484, 5564078, 1085678, 23554704, 74431455, 40251806, 26014536, 38642219, 12789386, 67955405, 55199044, 11735842, 69399563, 57345974, 11163758, 33823205, 185289642, 66208514, 10055390, 15008321, 28099212, 9567324, 114914010, 167615967, 16242110, 11128502, 18298946, 94644189, 104330210, 12467909, 28190343, 51136416, 48982349, 141672461, 51155142, 26225179, 77230410, 77870115, 73106493, 12665720, 8841244, 9750518, 106005254, 18384142, 85291690, 15465939, 5187456, 7492623, 8702321, 19222845, 103334957, 5229812, 36540048, 15323433, 22317967, 13411347, 43060770, 79870237, 27030575, 114835017, 83503572, 81145595, 3435798, 63785001, 11261624, 39156272, 31533926, 51531839, 83551587, 193766994, 17198390, 26394224, 4778538, 134744943, 39902837, 51565532, 53923074, 59232717, 6464083, 35781802, 89520376, 166270172, 106515484, 158189237 ], [ 175944186, 97085922, 90283397, 94597418, 90407784, 38081745, 81223123, 1459375, 44095248, 159818149, 26980973, 24488844, 71615469, 11594853, 9273447, 51959001, 98507634, 5114422, 67004930, 12230160, 29356258, 97534014, 54507159, 1526538, 14298926, 285087, 63855698, 42282152, 4139590, 21147669, 145809542, 65546119, 108507156, 84314686, 9919743, 31685849, 11560788, 4108393, 100724099, 61987849, 37678536, 21288678, 88055838, 19830995, 37033709, 41088252, 1085678, 145062040, 48291863, 15148201, 26014536, 78383290, 51243350, 109565665, 12505769, 37183143, 26083676, 8221730, 11163758, 168902627, 42308253, 12344388, 10055390, 61180042, 33007520, 23458859, 69275328, 3498867, 50687245, 11128502, 11573440, 94644189, 104330210, 10208989, 68614872, 34099829, 11894363, 36564773, 65623248, 11209908, 9032734, 38620335, 24766906, 14250187, 317518809, 23136344, 120294232, 84534261, 36523646, 73828439, 119485024, 7492623, 2952376, 19222845, 90033262, 5232805, 31812472, 5567090, 82813620, 81208466, 42362674, 13573695, 26617542, 52119768, 79147676, 58838564, 3435798, 38021064, 20953012, 36831880, 4452591, 55211896, 34900327, 58672491, 162901039, 77874438, 48268857, 43714819, 37479855, 22717768, 43942944, 59232717, 85358323, 28196801, 89520376, 62520355, 54663602, 6315096 ], [ 2741344, 81077278, 20551867, 38829857, 113210253, 38081745, 81223123, 253210996, 44095248, 218424920, 151853792, 74243328, 71615469, 277335885, 82691050, 97040366, 120689685, 9309138, 14248063, 6868206, 29984501, 116153520, 54507159, 227565157, 15760823, 180284399, 1156155, 48688409, 4139590, 21147669, 18016316, 94146601, 95938852, 84314686, 9919743, 51382419, 277657016, 111646838, 110155120, 109689335, 55216492, 13424672, 84011763, 124972417, 208798578, 181581527, 1085678, 79463455, 74431455, 223778508, 14169246, 87331021, 39673329, 243854420, 98129014, 124215329, 154215016, 66324518, 11163758, 90923096, 208144985, 96510512, 10055390, 48164330, 116462308, 23458859, 24234743, 11729070, 90734652, 1346686, 117615517, 48853142, 137532069, 60270550, 164838577, 29962433, 124455116, 48282652, 29617518, 1081391, 77230410, 33612121, 156582599, 127378231, 41212444, 9750518, 71541590, 122578221, 69036259, 45315856, 127403965, 7492623, 82716240, 29784863, 15272083, 5229812, 11187082, 43573138, 21828009, 31805665, 6265679, 9498304, 64410245, 284901163, 108598905, 4696912, 3435798, 43313435, 11261624, 13954865, 31216632, 129512264, 1250663, 194919342, 196683304, 77874438, 14187457, 9219250, 39902837, 39727414, 43942944, 3131611, 5579813, 78707398, 89520376, 45568316, 54663602, 135465600 ], [ 109617484, 37688596, 13184479, 74511019, 31625089, 48019938, 81223123, 71961339, 11338106, 127932471, 48789684, 15642840, 51606367, 69439694, 57273016, 61489810, 18518610, 114091769, 29159332, 128972561, 29984501, 132826834, 54507159, 1526538, 8151623, 285087, 16674892, 76106008, 4139590, 9811063, 32318278, 247786119, 10956107, 284066552, 72347838, 51382419, 84732959, 63619927, 182399285, 97483491, 122282160, 10259202, 88954935, 15651101, 37033709, 41088252, 91975986, 5528881, 74431455, 15148201, 26014536, 84385446, 12789386, 67955405, 54058766, 13802806, 29325475, 22430075, 66967279, 37539156, 53807316, 66740757, 10055390, 6966118, 32438884, 53650076, 84773253, 15225020, 50326426, 11128502, 59252576, 30585461, 26179740, 60270550, 68614872, 77334314, 100297601, 43988455, 136462865, 19249411, 12325492, 149311151, 40525522, 128901016, 50941720, 23136344, 43319394, 72567961, 1278808, 73828439, 17324566, 196661263, 51208093, 19222845, 50139226, 75897377, 39299598, 9839311, 22317967, 13411347, 305139216, 22447868, 48548160, 28666453, 372043, 64370100, 3435798, 93866529, 11261624, 10207744, 4452591, 147959162, 33090278, 42449850, 257771009, 26394224, 4778538, 10451778, 24346444, 7574241, 53923074, 44273980, 6566276, 162490566, 89520376, 42018455, 54663602, 7942710 ], [ 1420552, 22529708, 86932081, 27899268, 33277103, 7829423, 81223123, 1459375, 5001174, 71013518, 33283362, 46750225, 19463265, 75666424, 50053741, 2141582, 31779127, 5114422, 29159332, 56323737, 12504639, 46693874, 54507159, 34088334, 14298926, 81912543, 9823384, 29432266, 10837950, 21147669, 80691168, 11712567, 46035848, 14224308, 9919743, 15893949, 24431747, 40163863, 37541887, 8249524, 7301499, 10259202, 88954935, 52181735, 45308086, 11684360, 29968857, 33182577, 43725232, 31194521, 26014536, 30636594, 51243350, 13392175, 5467318, 29246001, 16568370, 74767847, 11163758, 28456691, 10098227, 10174632, 28315432, 17485048, 33007520, 23458859, 107754139, 111905027, 90734652, 11128502, 18298946, 3453250, 73522015, 94510671, 77122006, 62052714, 39663821, 42323640, 12984614, 24533706, 1842598, 7202544, 2636027, 14250187, 4667868, 23136344, 38791507, 13271451, 111240981, 29574258, 85141, 7492623, 8702321, 19222845, 60854711, 5229812, 49803073, 15323433, 34234005, 39331384, 40915217, 37718178, 4745133, 174160354, 8770362, 6136708, 3435798, 84197366, 11261624, 18875456, 31533926, 93345118, 11621221, 99471915, 23536374, 15307900, 7915461, 111012402, 11164834, 7574241, 10094996, 9601057, 20856392, 28196801, 89520376, 36122947, 13486249, 499537 ], [ 15318304, 97085922, 69934916, 21021172, 8577062, 7829423, 59132993, 182457006, 47429823, 213330377, 8123629, 55136879, 71615469, 48133778, 98824197, 41070044, 69981403, 10690650, 412104281, 564141, 90840291, 42652338, 33269554, 71558825, 21710163, 14229681, 2951290, 46274253, 4139590, 21147669, 14918219, 185590807, 88861217, 157408424, 9919743, 22598478, 14973325, 90589342, 86884185, 45382173, 9411434, 187055078, 383594, 744442, 141293504, 175128601, 8899107, 20604721, 40487870, 45307850, 81233879, 35569079, 13671072, 23916693, 15982838, 52315371, 80261876, 71019915, 13637072, 82513676, 6258412, 61262091, 40926289, 16204944, 38401790, 5533506, 60930050, 20876282, 248037453, 105838607, 7301222, 149120663, 24657852, 4970826, 144697420, 116247650, 27418283, 3241276, 29660403, 19249411, 64265425, 148966792, 24766906, 17277866, 20174300, 23974405, 19628081, 99141108, 74453127, 4817678, 38102286, 7492623, 47631683, 19222845, 39514245, 95982930, 7349349, 43573138, 1909086, 81208466, 162363853, 64455112, 604745, 114835017, 2837128, 34451362, 43288593, 31861159, 18753730, 1387390, 111347582, 121112032, 84371685, 42779730, 54935736, 77874438, 14187457, 9219250, 59051810, 51565532, 151910387, 67476139, 85358323, 155293649, 133945209, 47228099, 32965490, 120635486 ], [ 61560207, 47247904, 20551867, 6245594, 3618208, 29469780, 13110491, 30391140, 41928884, 75644529, 119367130, 28093860, 34019496, 48133778, 36634874, 10170714, 61782743, 148363555, 102571, 107287536, 29984501, 74692296, 33269554, 104388122, 202015670, 23987554, 9823384, 1304284, 4139590, 21147669, 36291993, 38606700, 77892940, 150857322, 9919743, 15893949, 85660278, 23545026, 44001180, 73130542, 111552217, 10259202, 98787651, 13484095, 57221722, 111313816, 22487531, 113185815, 28791263, 29578347, 26014536, 85965010, 111869230, 105164535, 98129014, 76368953, 63710292, 66324518, 12994571, 90923096, 43935746, 51409981, 10055390, 15008321, 28099212, 23458859, 63633085, 313465, 56441568, 11128502, 89756829, 28228757, 79637443, 60270550, 20588532, 29962433, 89907712, 11722770, 49381587, 19249411, 36363758, 150204575, 121649146, 73441397, 72163099, 7244825, 30230283, 124663731, 121733072, 73828439, 30926467, 7492623, 1183835, 19222845, 39514245, 75897377, 113461032, 43573138, 110896837, 81208466, 110612239, 25143123, 604745, 44385067, 30903813, 6358199, 16100879, 33914287, 35164341, 92632129, 31533926, 152283894, 82008677, 29386763, 66486379, 77874438, 69370192, 30194707, 131913375, 7574241, 20047105, 67476139, 25747478, 69610645, 108646659, 84347372, 54663602, 44414788 ], [ 407326892, 97085922, 91521943, 53684186, 1021516, 7829423, 53032087, 10728620, 47429823, 43540580, 54556120, 55136879, 651688, 42278554, 90708132, 63370014, 98507634, 148363555, 50140753, 138673085, 59172031, 143281997, 14108934, 34088334, 31594113, 43176167, 2269428, 145629242, 85673659, 21147669, 17851763, 145497882, 13192576, 150857322, 9919743, 2039506, 93550397, 90589342, 23580742, 37153598, 188043164, 26411421, 49905013, 42350085, 22732079, 181581527, 46963576, 145062040, 28791263, 31194521, 26014536, 56051631, 72630313, 13392175, 74241463, 10654555, 89779843, 25450428, 14648640, 41974907, 12727426, 8852743, 92477920, 48164330, 133283700, 23458859, 43453996, 187247203, 447533126, 11128502, 89756829, 105937093, 8142292, 94510671, 20368369, 94449962, 55923723, 106908077, 42791857, 108979105, 67826708, 65197814, 24766906, 146397335, 210145180, 23136344, 143989921, 33878282, 57137337, 62081326, 191962791, 7492623, 20077500, 19222845, 107740441, 93845942, 39311236, 24395184, 199038643, 81208466, 94151193, 15622797, 64410245, 114835017, 22069770, 84269872, 74355201, 92736856, 35164341, 338815356, 31533926, 152283894, 93898343, 121173633, 158880146, 77874438, 14187457, 29735987, 24745391, 47002637, 30140599, 4416646, 42882095, 56319044, 164813512, 166270172, 71769766, 35772956 ], [ 274333149, 97085922, 9024081, 107777819, 136245013, 48019938, 31802633, 112408125, 90495852, 95698674, 102404427, 74243328, 71615469, 204190775, 5464742, 200169268, 76141940, 25404823, 290498444, 56392526, 124124801, 46042705, 8824962, 33438807, 206034193, 3571107, 67233759, 75995835, 4139590, 21147669, 139810342, 145497882, 130629805, 84314686, 9919743, 274592800, 136836269, 91213769, 96032314, 120142707, 57871305, 39668587, 49228053, 93323456, 251836186, 10151165, 84757146, 145062040, 61487061, 45307850, 137752943, 7980156, 117148898, 49755262, 98129014, 93928787, 65493454, 150389399, 14648640, 91369099, 61606123, 42596642, 92477920, 27329795, 126558630, 23458859, 43453996, 25794162, 371403111, 11128502, 22704879, 175126449, 8142292, 60270550, 101721631, 51136416, 205738992, 182438260, 5695966, 19249411, 174231085, 6306853, 176688449, 124953413, 604504, 23136344, 175526994, 104721923, 52984891, 42802407, 227250435, 7492623, 23401976, 245319619, 83035171, 140805472, 37119810, 17051841, 26411500, 9350717, 71126994, 184715107, 6110765, 28666453, 97385906, 230079519, 74355201, 127129742, 35164341, 39156272, 111347582, 121112032, 61107429, 29386763, 303024978, 77874438, 14187457, 135279616, 137778630, 20039741, 7805551, 20750769, 17832662, 78707398, 113887119, 58446610, 54663602, 11971662 ], [ 74420813, 97085922, 40672129, 18677015, 136245013, 7829423, 138825044, 30391140, 27084367, 9649081, 57374530, 34511149, 13688128, 33573215, 50053741, 162108420, 67600540, 1320109, 33323390, 35896512, 69861726, 46042705, 21801572, 30278519, 11181391, 14144875, 11689013, 46274253, 4139590, 9811063, 47531880, 110400755, 77892940, 84314686, 61828190, 22598478, 37734786, 15104526, 189066253, 14931613, 94374468, 39668587, 66145189, 54250145, 68793871, 106395141, 135602929, 36292908, 316981337, 64670650, 27794976, 10030682, 28551907, 71884065, 61094409, 13802806, 1681308, 3235289, 14648640, 61634802, 13262036, 30767542, 69874276, 48164330, 35286264, 23178414, 63633085, 20876282, 17426266, 9746900, 22704879, 18543512, 7862580, 60270550, 8301896, 76258876, 90378400, 18255224, 796840, 19249411, 197780416, 48006655, 187060446, 26791723, 96226075, 23136344, 66096154, 44088628, 52984891, 73828439, 1325224, 9664456, 45960706, 19222845, 24445265, 5229812, 9904138, 11857925, 9610945, 30702354, 8814061, 21559201, 64410245, 51328066, 13996902, 36869337, 26411399, 122962178, 35164341, 31707958, 8198026, 24483515, 1957091, 26996502, 127141155, 18594221, 14187457, 10970296, 24346444, 51565532, 37613713, 67476139, 3787461, 4287907, 23659939, 21819546, 40871251, 158189237 ], [ 171313815, 83328899, 31671979, 150688735, 25910147, 265056778, 81223123, 281574122, 31816588, 71013518, 113676214, 74243328, 71615469, 48133778, 180966442, 200169268, 123300023, 148363555, 365620698, 14622772, 29984501, 99561417, 33269554, 33438807, 31517016, 43176167, 172065782, 8874972, 4139590, 21147669, 115323660, 247786119, 130629805, 113046100, 9919743, 180270267, 85660278, 40851815, 51300622, 48807174, 188043164, 3223407, 98787651, 744442, 239972320, 126178353, 158557349, 5528881, 77455240, 223778508, 26014536, 210509545, 51243350, 74162279, 874551, 52315371, 179471924, 182765512, 11163758, 91369099, 315269703, 91454535, 33395442, 74046888, 257196867, 139221672, 30982871, 71913506, 104308702, 11128502, 82634207, 36992856, 145369992, 21303599, 20588532, 49670432, 39107390, 87277172, 49381587, 19249411, 2886570, 78777644, 40525522, 17277866, 77254106, 23136344, 175526994, 65859679, 16636870, 164468550, 119485024, 7492623, 8702321, 19222845, 39514245, 5232805, 110408707, 11857925, 91533590, 229542908, 195146708, 79870237, 604745, 33373381, 18629613, 246766272, 343492951, 43313435, 45380486, 72659136, 254550902, 70875298, 1250663, 148505014, 240354627, 32694734, 82300461, 9219250, 5759422, 83135938, 10094996, 67476139, 40417909, 282066280, 133945209, 230574975, 54663602, 82023210 ], [ 63235793, 22529708, 91521943, 73380578, 136245013, 139419502, 59132993, 24139189, 31816588, 16677736, 4405528, 74243328, 8799657, 5734355, 14676184, 44424876, 67600540, 44778422, 51287163, 18477019, 155369916, 46042705, 54507159, 1404985, 1830157, 14144875, 36571946, 8874972, 4139590, 21147669, 2500731, 30479417, 130629805, 2663105, 9919743, 100200947, 37734786, 52373374, 71199642, 64599003, 77659118, 39668587, 66145189, 124972417, 91731768, 6676824, 50481842, 202463692, 58222733, 45307850, 26014536, 87331021, 51243350, 71884065, 19552087, 29246001, 80261876, 7865970, 11163758, 77509449, 3042389, 48287149, 38504136, 74046888, 42264841, 5533506, 45764220, 20876282, 38594732, 11128502, 140177897, 36992856, 7862580, 21303599, 20588532, 176312373, 27418283, 40748959, 29617518, 19249411, 2886570, 92393044, 40525522, 17277866, 42160984, 170435580, 91458307, 115315765, 16636870, 73828439, 1325224, 7492623, 29804875, 19222845, 15272083, 65146730, 9904138, 16829863, 91533590, 23392974, 176038293, 5644033, 13704708, 28107, 51408379, 304684911, 47583747, 43313435, 18753730, 66582777, 106883164, 24483515, 34900327, 28835893, 88785071, 11474798, 137205126, 9219250, 160565196, 11520981, 51613150, 67476139, 45672793, 35781802, 127778075, 4957152, 32965490, 13962333 ], [ 13969680, 22529708, 9024081, 68786783, 136245013, 53865188, 42409702, 7550502, 40923850, 111006743, 16654773, 12235856, 16011832, 62120632, 22090208, 206620174, 40855158, 1320109, 102571, 14622772, 90840291, 46042705, 44994984, 34088334, 15072477, 117016792, 173692925, 46274253, 25932319, 9811063, 90105736, 42141750, 6963277, 75366654, 51724883, 22598478, 28888652, 15739239, 71199642, 66137051, 108687630, 14261, 98428209, 47245645, 99212709, 5564078, 60722984, 33027000, 58222733, 52133795, 26014536, 10030682, 51243350, 17046990, 98129014, 13802806, 3323019, 6044690, 11163758, 21392781, 64474081, 163526627, 115651, 36769191, 28367226, 23458859, 15137962, 3498867, 42405487, 11128502, 40442850, 109862232, 22043177, 18583904, 81460213, 76258876, 1375471, 36564773, 24397799, 19697818, 15239048, 19882501, 5756794, 132860826, 5633180, 23136344, 107412209, 143590005, 52984891, 59176401, 7903880, 74765455, 47854487, 19222845, 20286424, 88201049, 33930366, 43573138, 10581696, 9350717, 94151193, 22447868, 48659214, 16403568, 141464474, 66330004, 3435798, 1267139, 186615747, 48503409, 8198026, 41801001, 110295652, 54519279, 162901039, 37966319, 14187457, 40852146, 18050038, 51565532, 10050576, 67476139, 1336504, 102209474, 77755570, 49757387, 33579362, 11971662 ], [ 24568957, 38167608, 43139594, 114359130, 15213372, 17278764, 85009111, 130453420, 25044537, 10518734, 33741451, 17470031, 36188612, 97544519, 50053741, 51491742, 91673879, 78537317, 34711852, 564141, 22960903, 5092902, 48133062, 34088334, 93863906, 43176167, 10138301, 258738475, 22648895, 9811063, 2500731, 78157073, 9771306, 528225, 57270658, 8766403, 15948992, 90589342, 31535672, 37153598, 11142073, 17316984, 98816057, 84396464, 39853586, 180251368, 46963576, 145062040, 111660739, 31107945, 26014536, 56051631, 4386949, 13554292, 72863372, 13802806, 179471924, 26857457, 11163758, 82513676, 49485795, 5899465, 72714146, 47980771, 65446470, 96514009, 37979439, 77917987, 53261657, 11128502, 65080746, 10701059, 2585693, 39084515, 10708203, 82913929, 68666205, 69427425, 29660403, 81976419, 63506446, 167155196, 24766906, 26791723, 48897944, 23136344, 34081857, 34766411, 109984358, 73828439, 37112785, 13542446, 64105129, 19222845, 60854711, 75897377, 34591878, 26649932, 114793140, 44985593, 75257918, 22447868, 48659214, 88710090, 43226958, 90330258, 26425554, 155875976, 35164341, 120421435, 30339805, 18245555, 103804387, 75222315, 37379439, 55557528, 14187457, 33398595, 24346444, 86898760, 21176941, 67476139, 30486719, 78707398, 11770568, 172401515, 13318208, 120635486 ], [ 88000718, 75324996, 43139594, 74511019, 57868309, 42600000, 53032087, 130453420, 11338106, 69172837, 26980973, 74243328, 651688, 43984272, 57273016, 11438991, 18518610, 118754552, 5312691, 6868206, 17088587, 46042705, 25690881, 31412054, 4836413, 14356403, 10281903, 31043805, 4139590, 9811063, 50069238, 23768020, 92420806, 79774038, 9919743, 2039506, 55019348, 98699520, 110155120, 26723723, 36108440, 39668587, 2411081, 124972417, 23745469, 158580590, 166347001, 145062040, 84387194, 85786520, 26014536, 21796205, 12789386, 67955405, 51670235, 13802806, 10243746, 57345974, 14648640, 26066580, 64474081, 163526627, 33395442, 48164330, 46793748, 23458859, 63633085, 12512447, 50326426, 11128502, 32026260, 118436414, 2585693, 39001441, 8301896, 29962433, 39663821, 21076761, 95255415, 19249411, 49030490, 1260072, 122165465, 267321544, 12184028, 23136344, 19628081, 13271451, 7324350, 24582402, 30926467, 7492623, 53375586, 19222845, 15727200, 5229812, 38805964, 43573138, 137708218, 32328827, 77385204, 22447868, 26877610, 132992065, 29603894, 42055225, 3435798, 21571738, 35164341, 37116579, 31533926, 18245555, 1250663, 75222315, 207563520, 9524705, 14187457, 15090074, 24346444, 47002637, 220510134, 26772312, 2419498, 78707398, 11770568, 45568316, 54663602, 8385885 ], [ 48319627, 37850569, 1971494, 4208636, 97134476, 7829423, 157367015, 112408125, 25044537, 69172837, 119367130, 55136879, 71615469, 191688813, 113685928, 24380805, 71009355, 44778422, 91110919, 40620308, 17088587, 46042705, 54507159, 34088334, 4836413, 3571107, 80162784, 109373273, 42009311, 21147669, 34469220, 94730687, 130629805, 182870445, 9919743, 24176391, 84792618, 90589342, 39196081, 26723723, 36108440, 39668587, 49905013, 45072563, 120635193, 69048485, 46963576, 5528881, 40487870, 45307850, 27794976, 186647243, 174860445, 49539256, 74241463, 86751626, 71048351, 22632365, 82788461, 45381792, 184319954, 37773497, 38504136, 74046888, 38401790, 152204219, 63633085, 12512447, 241580516, 11128502, 3837077, 80745367, 104330210, 59467860, 6876818, 86176571, 112854175, 71500726, 169109617, 108979105, 95124225, 156045941, 24766906, 128901016, 6313052, 23136344, 65709753, 66429386, 48669013, 41232400, 189039988, 7492623, 85646829, 140883167, 15727200, 49373350, 9904138, 43184542, 199752293, 30702354, 141873989, 26407816, 13704708, 28666453, 29603894, 35033547, 52774061, 21571738, 35164341, 10207744, 14870913, 43268898, 1250663, 110223956, 199166581, 34240579, 36242838, 52938569, 85069360, 94962878, 105648214, 76350134, 142662399, 78707398, 81256842, 58446610, 32965490, 20795764 ], [ 63235793, 83328899, 91521943, 7133241, 25910147, 7829423, 81223123, 112408125, 41928884, 14650532, 36971109, 28218648, 8799657, 15869554, 57273016, 52113116, 61782743, 98308176, 51287163, 12230160, 29984501, 218860302, 33269554, 22539336, 79409986, 3571107, 43683287, 83863624, 4139590, 9811063, 155666228, 247786119, 15376883, 125462607, 9919743, 51841478, 85660278, 206894540, 38507876, 23307123, 112472300, 167088987, 98787651, 124972417, 57221722, 160633157, 60722984, 5528881, 154823277, 102819548, 26014536, 87331021, 51243350, 28922729, 98129014, 13802806, 75770217, 7865970, 11163758, 70766051, 64474081, 48287149, 33395442, 72803949, 139566993, 6145313, 63633085, 12512447, 114346818, 11128502, 82227007, 104722467, 26179740, 60270550, 20588532, 85783710, 205738992, 100991314, 169109617, 7071017, 67808435, 99339, 377885232, 9634123, 70291863, 4804257, 149001756, 143590005, 48669013, 57857736, 30926467, 435639, 8702321, 19222845, 15727200, 65146730, 113461032, 15323433, 75245992, 3962925, 28996210, 22447868, 604745, 33373381, 18629613, 58838564, 116390549, 21571738, 35164341, 8479986, 16988394, 152283894, 39276773, 29386763, 238664054, 56451187, 82300461, 40852146, 24346444, 83135938, 10094996, 67476139, 142662399, 78707398, 171821939, 166270172, 10781558, 20795764 ], [ 24568957, 75324996, 91521943, 144485063, 3618208, 73716937, 115046075, 17517955, 107991707, 26310677, 42522121, 74243328, 71615469, 15869554, 98824197, 216711018, 123300023, 44778422, 5312691, 128972561, 90803632, 393495754, 54507159, 27454299, 79409986, 43176167, 43683287, 2566108, 4139590, 21147669, 93031796, 76828818, 15376883, 134182333, 9919743, 51841478, 85660278, 239510771, 163467739, 194479144, 188043164, 120349361, 383594, 124972417, 56922905, 153062556, 69383571, 5528881, 82860218, 102819548, 26014536, 210509545, 51243350, 82966007, 47110452, 177120373, 145320829, 66804770, 11163758, 44264287, 416883383, 103892464, 92477920, 48164330, 35286264, 23458859, 63633085, 15472893, 163030879, 11128502, 123763112, 248934252, 156246820, 60270550, 20588532, 83380024, 179762463, 71500726, 95255415, 1081391, 78255223, 54150725, 166489150, 267321544, 12184028, 23974405, 192082432, 134674203, 48669013, 57857736, 227250435, 435639, 112610509, 19222845, 79091183, 48594798, 9904138, 43573138, 34881830, 30702354, 94151193, 9498304, 6110765, 33373381, 18629613, 4696912, 160122026, 73556654, 35164341, 190974156, 31216632, 58084295, 50141153, 29386763, 139039354, 56451187, 14187457, 135279616, 19888394, 83135938, 10094996, 67476139, 156462151, 20809248, 171821939, 325436074, 54663602, 13783201 ], [ 133570545, 28304292, 1971494, 10263228, 33277103, 7829423, 29738778, 130453420, 47429823, 69716084, 33741451, 57063727, 62334075, 75132028, 57273016, 76834358, 76141940, 44778422, 102571, 4020542, 29984501, 12324731, 40985255, 34088334, 21710163, 47168326, 92611804, 46274253, 4139590, 9811063, 13841823, 30817862, 76157398, 26546379, 9919743, 47218814, 14973325, 21224022, 175189494, 70610024, 88913394, 120349361, 30105930, 47245645, 89030080, 10151165, 46963576, 5528881, 40487870, 31194521, 26014536, 85965010, 45328380, 13392175, 74241463, 10654555, 10976117, 21699071, 11163758, 6610976, 19315989, 64854393, 33395442, 48164330, 35286264, 108437190, 63633085, 3934247, 114870372, 11128502, 87815707, 51520048, 26179740, 60270550, 2691011, 73876566, 26633138, 14182127, 95255415, 13756860, 13761532, 40042762, 24766906, 61665291, 72288477, 23136344, 48383960, 143590005, 16187715, 73828439, 13438897, 7492623, 8702321, 19222845, 82364583, 98926486, 9904138, 15323433, 154662196, 30702354, 141799632, 12207272, 13704708, 33373381, 72897046, 10148911, 262146418, 2577731, 45380486, 24333526, 31533926, 109918739, 42207456, 26677713, 22984477, 13207700, 14187457, 52003493, 24346444, 83135938, 7805551, 39880734, 405911, 62255495, 151818659, 1832243, 32965490, 158189237 ], [ 24568957, 97085922, 40672129, 453750, 60614589, 31828363, 23554693, 7320926, 47429823, 182197434, 38036421, 17470031, 31532340, 62120632, 66151199, 15234823, 16975223, 44778422, 85558691, 128972561, 29356258, 46042705, 54507159, 233575, 8151623, 451836, 311684793, 37859035, 31058967, 9811063, 52552573, 30479417, 53274351, 12745503, 9919743, 22598478, 7728598, 73676270, 240537181, 66137051, 108687630, 39668587, 98787651, 30558834, 39853586, 15019236, 46963576, 5528881, 106526601, 85786520, 27794976, 10030682, 12789386, 49729699, 74241463, 10654555, 3323019, 57345974, 13637072, 43864723, 28887508, 71369223, 33395442, 103587353, 92444769, 65121078, 39697489, 20876282, 7052079, 11128502, 136736807, 154347737, 2585693, 12467909, 7806753, 43492965, 2186367, 34313509, 29004799, 39855763, 162291132, 74768702, 5756794, 140116245, 44399837, 23136344, 49221285, 45723755, 16187715, 15465939, 28854300, 7492623, 64129748, 19222845, 264493512, 5229812, 9904138, 11857925, 114793140, 30702354, 17282474, 22447868, 48659214, 16403568, 10242559, 66330004, 7125825, 1267139, 49546873, 63829230, 22025713, 18245555, 34900327, 58672491, 44782330, 70259771, 123359600, 15820321, 24346444, 51565532, 43942944, 10996978, 6464083, 226294482, 102807686, 144915952, 11173965, 158189237 ], [ 6925873, 73957937, 9024081, 205797377, 74048656, 7829423, 81223123, 92093921, 46653, 74157436, 98770052, 17470031, 8799657, 39175709, 36634874, 13112516, 18763187, 98105914, 51287163, 564141, 29984501, 143748533, 23005919, 34088334, 21710163, 46559750, 147643940, 46274253, 4139590, 21147669, 90105736, 24392808, 92420806, 86117392, 9919743, 22598478, 85660278, 90589342, 44001180, 48807174, 108687630, 61908148, 66145189, 744442, 141293504, 10151165, 46963576, 5528881, 7507088, 52133795, 6062175, 10030682, 18357705, 49755262, 74241463, 29629811, 16952720, 7865970, 14648640, 20423772, 127397961, 807462, 33395442, 16204944, 75711875, 22958790, 30982871, 20876282, 34741094, 11128502, 11000894, 93778652, 7862580, 28358421, 20588532, 17535400, 37518270, 62078491, 29660403, 19249411, 73122758, 14924600, 11847772, 85469976, 604504, 9213635, 87014368, 34969278, 48669013, 15850384, 1325224, 7492623, 23401976, 471631, 62289908, 5232805, 38959110, 43573138, 110896837, 9350717, 16393146, 59895376, 6110765, 28666453, 19451382, 16293796, 79184275, 61342994, 24247887, 89591351, 31533926, 24708084, 1250663, 29386763, 138413768, 30217700, 14187457, 34722188, 118001901, 51565532, 7805551, 67476139, 51360389, 78707398, 74621554, 1832243, 54663602, 8385885 ], [ 204843313, 43079110, 68189286, 292496983, 136245013, 56745996, 123781816, 181744776, 143826383, 55614629, 360962185, 149673961, 25709861, 294034031, 49382248, 296911187, 53901587, 158336366, 51287163, 185367569, 277865273, 239923514, 51288156, 320326809, 76722563, 12171736, 16674892, 19692972, 85673659, 277123138, 32318278, 804298, 266716304, 33481763, 186019957, 180270267, 15948992, 49964314, 131021875, 54211808, 11142073, 16195468, 175215195, 157062464, 239972320, 181581527, 166118373, 204926856, 31732514, 67396762, 197228506, 132918258, 132272177, 30779471, 58465465, 123894405, 168213541, 64185138, 14648640, 108112636, 563345234, 86340799, 162581792, 42942447, 125198802, 16362042, 75516597, 334798568, 46744768, 391924587, 290036247, 104722467, 147884076, 128098109, 57061741, 633246697, 60974175, 83060934, 10162984, 34722403, 47551392, 138502108, 162886743, 40423898, 404933596, 23974405, 49789777, 143590005, 11642142, 40616298, 15945830, 193237714, 26591430, 19222845, 149063548, 19352424, 67706453, 23010902, 155831722, 310801574, 60218234, 79870237, 164107112, 345244945, 529110, 484475321, 253050917, 520720079, 33442624, 20944670, 398036629, 211851660, 80114787, 259420844, 24729259, 76708615, 14187457, 42356466, 115897523, 182220662, 271186117, 67476139, 448506283, 193619970, 208043842, 228302745, 46559325, 272867918 ], [ 61560207, 73957937, 761466, 68786783, 1773737, 29709941, 21381286, 10728620, 47429823, 20980226, 42522121, 28093860, 8799657, 40424842, 57273016, 64324473, 7619152, 1320109, 5312691, 48330418, 22169956, 118009155, 54507159, 21110622, 21710163, 14229681, 60375896, 46274253, 10837950, 21147669, 14630227, 4276608, 36900217, 19490018, 9919743, 22598478, 21811048, 181964479, 23580742, 7122117, 108687630, 9182292, 98787651, 11997696, 39853586, 116014790, 8899107, 104486912, 28791263, 102819548, 26014536, 10030682, 132163347, 28922729, 74241463, 1188044, 17143545, 7865970, 14648640, 28652780, 22719135, 91566351, 2648083, 15008321, 758187, 23458859, 92008544, 3934247, 9681096, 11128502, 107620879, 16410951, 2585693, 12467909, 20588532, 17535400, 1375471, 90102240, 19353368, 108979105, 45404420, 51068483, 24766906, 45077948, 12184028, 17001506, 34051746, 24270387, 121733072, 15850384, 22224999, 7492623, 50278392, 19222845, 79091183, 22107941, 40686868, 43573138, 5242697, 3962925, 2278521, 53140084, 6110765, 25339270, 125697141, 36643396, 12047128, 36532387, 35164341, 41769713, 85809652, 18245555, 34900327, 15844133, 24842932, 12788432, 14187457, 135279616, 162226585, 51565532, 21176941, 50404181, 6464083, 56319044, 80023736, 141152380, 32505446, 69671491 ], [ 33459195, 22529708, 9024081, 36952558, 109946411, 43659747, 81223123, 7320926, 25044537, 34560570, 119367130, 24166780, 34379038, 48133778, 29580707, 13112516, 55877667, 30524710, 80239011, 56392526, 17088587, 46042705, 33269554, 34088334, 4836413, 24683476, 34154991, 31043805, 4139590, 21147669, 34469220, 70712698, 130629805, 19490018, 9919743, 22598478, 7728598, 13555557, 38507876, 97746705, 188043164, 39668587, 383594, 63822203, 7150152, 69048485, 46963576, 71391622, 7507088, 85786520, 26014536, 42223893, 51243350, 87146758, 74241463, 29246001, 89528991, 22632365, 11163758, 108316845, 150184276, 764685, 33395442, 6921616, 21223115, 23458859, 63633085, 3059227, 40194446, 2601584, 2275668, 190633590, 43998752, 12467909, 20588532, 28328164, 2186367, 182438260, 22089240, 19249411, 36363758, 94981151, 24766906, 46075800, 5633180, 23136344, 50466096, 106181695, 47087107, 73828439, 28854300, 7492623, 53375586, 2279026, 39514245, 5232805, 63781119, 1685604, 17408166, 9350717, 22953946, 69112402, 604745, 114835017, 19183191, 136739244, 7934829, 155875976, 35164341, 143858814, 22025713, 152283894, 1250663, 29685076, 59452511, 2677113, 123359600, 52938569, 85069360, 31629796, 51613150, 67476139, 6464083, 66102793, 37029363, 49757387, 432061, 12517399 ], [ 63235793, 13262061, 38166169, 15732888, 33277103, 7829423, 18201843, 527077, 41928884, 111941412, 42522121, 1616244, 12121444, 12265261, 66783251, 16688350, 61782743, 44778422, 102571, 88379036, 69861726, 228018192, 54507159, 11870919, 81716234, 43176167, 211552419, 8874972, 10837950, 9811063, 18462975, 11199613, 26993771, 6952233, 9919743, 22598478, 1495963, 43127974, 23580742, 19421974, 87365523, 74514401, 731027, 43944279, 4256355, 77310837, 41732253, 5528881, 102949115, 925330, 6062175, 10030682, 51243350, 68454388, 47110452, 13802806, 42397331, 5098092, 11163758, 96437524, 24264944, 807462, 38504136, 72803949, 4568015, 51402350, 3148072, 109722322, 135103710, 11128502, 24161176, 30534214, 2585693, 105684183, 20588532, 33677359, 71512655, 11722770, 109772188, 108979105, 47551392, 176068714, 1743522, 45077948, 12184028, 23136344, 25690048, 34969278, 6061460, 19361208, 30926467, 7492623, 8702321, 19222845, 28590374, 65146730, 9904138, 15323433, 67720895, 26937213, 117538686, 15569374, 12279330, 28666453, 135089626, 6136708, 189353626, 33914287, 45380486, 18875456, 31533926, 18245555, 60858724, 30945225, 69246407, 71561743, 20749786, 135279616, 18050038, 51565532, 21176941, 61170750, 17832662, 177116923, 171821939, 22575507, 39011870, 97831854 ], [ 86487835, 68341218, 91521943, 81540790, 25910147, 7829423, 17837375, 21382229, 163212412, 71013518, 15875450, 38819351, 8368832, 59370111, 61528604, 117196139, 29178658, 58008113, 50723374, 128972561, 261142884, 18708315, 1498271, 235663435, 37601890, 39037031, 34156577, 106091177, 36979083, 9811063, 3901026, 4276608, 33588870, 114283976, 9919743, 79590722, 85660278, 206894540, 209717285, 60678156, 61759854, 192942928, 53343239, 124972417, 52972133, 64798671, 96866248, 5528881, 157847168, 96690023, 26014536, 80027279, 39102367, 58837282, 16043503, 13802806, 75770217, 7865970, 14648640, 16330527, 164561174, 118110339, 51595038, 17999977, 2663878, 26741016, 38691608, 12512447, 163030879, 11128502, 123763112, 73698525, 22909716, 6743352, 20588532, 116247650, 132067725, 60489025, 85399588, 102085800, 76332171, 145284939, 66765069, 260626811, 179762713, 23974405, 8651897, 143590005, 37171457, 5401452, 18708450, 7492623, 32035095, 19222845, 15727200, 8306280, 21388839, 17051841, 59022029, 148252258, 3354423, 22447868, 64410245, 25339270, 12463197, 60881301, 146392488, 21571738, 118933817, 127411326, 99473018, 96419578, 60549604, 15844133, 88138403, 77874438, 14187457, 203849811, 13511432, 94962878, 10094996, 13169439, 137286575, 10782486, 101863628, 8721187, 73978564, 20971768 ], [ 76661085, 22529708, 91521943, 51594079, 136245013, 183814762, 81223123, 527077, 73387071, 16677736, 151853792, 50368910, 71615469, 75666424, 25976978, 256542786, 57172992, 44778422, 124463287, 195818176, 29984501, 373547130, 54507159, 34088334, 31517016, 14144875, 97857033, 61993387, 85673659, 21147669, 182484876, 19256234, 82390790, 182870445, 9919743, 22598478, 37734786, 52916695, 21717220, 19421974, 129236485, 182364734, 98787651, 41882169, 35475695, 79799665, 3890878, 145062040, 27658597, 136668532, 27794976, 87331021, 31024540, 67955405, 22337727, 29246001, 80207733, 102101972, 13637072, 186875839, 48147492, 66316249, 33395442, 4081438, 70164778, 147232909, 62195456, 263637056, 21731071, 11128502, 140177897, 141940908, 221866909, 118429636, 20588532, 137192677, 332964161, 71500726, 80840877, 159626649, 334235957, 629887, 54757914, 87545559, 49868636, 23136344, 206098179, 143590005, 6061460, 8175789, 269410632, 7492623, 182119902, 19222845, 169635756, 140446503, 9904138, 7294372, 152319746, 30702354, 195146708, 115150495, 64410245, 337965388, 165357810, 150049881, 47583747, 85693366, 35164341, 356369154, 198199385, 24483515, 1250663, 39680627, 135709315, 70259771, 42195682, 102693827, 162226585, 43515137, 51613150, 76350134, 59879117, 23964905, 79879687, 49757387, 195023373, 48756787 ], [ 14107149, 47624026, 40672129, 27899268, 1021516, 88259316, 19810182, 10728620, 11338106, 201254129, 114984780, 55136879, 41062170, 42278554, 54241451, 24380805, 98507634, 115751440, 50140753, 28941804, 29984501, 98765786, 41698543, 30265834, 31594113, 43176167, 58205030, 75995835, 4139590, 9811063, 17851763, 19256234, 13192576, 19490018, 9919743, 22598478, 31600162, 90589342, 23580742, 37153598, 108687630, 74514401, 98787651, 41882169, 36203442, 805855, 3890878, 5528881, 187776720, 29578347, 26014536, 10030682, 16720530, 63270843, 20451055, 10654555, 141092434, 102372455, 14648640, 17090967, 146013591, 8852743, 33395442, 48164330, 46793748, 23458859, 63633085, 41196353, 58456141, 11128502, 22704879, 145048404, 26179740, 12467909, 20588532, 3156213, 55923723, 105494558, 2480636, 19249411, 67826708, 65197814, 24766906, 151467755, 4293020, 23136344, 19628081, 33878282, 48669013, 1586059, 28854300, 7492623, 67093881, 19222845, 107740441, 5232805, 113461032, 30613419, 234361, 6267468, 141799632, 4092571, 64410245, 33373381, 22069770, 150049881, 2867946, 93866529, 9576787, 20602581, 31533926, 152283894, 13104997, 121173633, 161683937, 12788432, 10429291, 140035638, 24346444, 47002637, 89882483, 67476139, 6464083, 75812178, 30813242, 84347372, 9442910, 8385885 ], [ 15318304, 83328899, 57791115, 64949304, 1265733, 7829423, 29738778, 10728620, 11338106, 69172837, 33741451, 69354034, 34019496, 4347577, 106825335, 41070044, 61782743, 95554627, 61191946, 28941804, 17088587, 30046313, 33269554, 34088334, 4836413, 11444678, 16674892, 325756812, 10837950, 21147669, 13841823, 9362696, 33744510, 3887160, 9919743, 24176391, 3520909, 320441286, 9985536, 131847133, 1440836, 74514401, 84011763, 19001606, 72747970, 5564078, 46963576, 33815327, 101150932, 68188944, 26014536, 72745660, 15119195, 21139736, 74241463, 64393850, 10976117, 829217, 11163758, 15659086, 90017664, 3488798, 33395442, 23951579, 125315560, 4770883, 9903185, 3934247, 148284062, 11128502, 12865046, 28228757, 79637443, 118429636, 2691011, 73876566, 24955920, 90102240, 136999408, 108979105, 38633454, 19213264, 24766906, 45077948, 8841244, 17064513, 76223344, 47108357, 187765515, 5362144, 30926467, 7492623, 51652982, 19222845, 25784813, 44916132, 45585018, 43573138, 75245992, 82379273, 24868546, 1317985, 604745, 3340142, 51603924, 53570241, 52774061, 33914287, 35164341, 172146749, 19902972, 95470352, 17980645, 9514715, 154271474, 13207700, 29906894, 52938569, 69602960, 94962878, 146416411, 54314133, 123404739, 78707398, 136348263, 86728952, 33579362, 4643354 ], [ 3232059, 83328899, 57791115, 24034123, 136245013, 48019938, 21381286, 10728620, 11338106, 44002344, 119367130, 69723297, 71615469, 66481109, 113685928, 254088010, 61782743, 21769575, 61191946, 56392526, 9301350, 74692296, 54507159, 34088334, 15072477, 23987554, 46545743, 35306425, 36979083, 9811063, 35959395, 26035687, 92420806, 103716003, 9919743, 36940399, 27094788, 2771111, 9985536, 37153598, 181156747, 74514401, 66145189, 47245645, 13080310, 72681927, 46963576, 4643307, 56854059, 33952486, 26014536, 39543637, 167376614, 165173119, 74241463, 13802806, 7912709, 198846472, 12994571, 19219834, 5783443, 51409981, 91794811, 48164330, 104396204, 4770883, 63633085, 3934247, 106534241, 11128502, 2275668, 57092899, 2585693, 42404744, 20588532, 188135502, 94950076, 153382927, 95255415, 26225179, 108157408, 225366928, 24766906, 45077948, 132605470, 23136344, 61441404, 13271451, 4808035, 73828439, 1325224, 7492623, 77572742, 19222845, 264493512, 61863632, 89082100, 11857925, 110896837, 105298985, 24868546, 22447868, 6110765, 28666453, 12463197, 58271000, 30097089, 33914287, 106621987, 74660098, 95156731, 18245555, 1250663, 2960037, 40091346, 12788432, 14187457, 135279616, 24346444, 81638500, 73416608, 15816928, 25747478, 122513525, 82142274, 9576295, 432061, 4643354 ], [ 14107149, 83328899, 40672129, 53684186, 92118925, 15452733, 81223123, 10728620, 46653, 45777609, 33741451, 17470031, 71615469, 48133778, 95616906, 71297951, 15177806, 78876688, 21654249, 46776872, 9367199, 17680439, 33269554, 34088334, 4836413, 18166776, 46545743, 8874972, 10837950, 21147669, 50069238, 30479417, 83727771, 19490018, 9919743, 36940399, 66556052, 56882824, 23580742, 64448995, 108687630, 74514401, 4528959, 114315668, 39598691, 181581527, 45355243, 2257890, 58222733, 50577429, 6062175, 10030682, 6545228, 63270843, 26675367, 22274848, 82126738, 108771973, 11163758, 82513676, 142815883, 8852743, 33395442, 48164330, 4695700, 17474196, 43635014, 5224622, 21700668, 11128502, 19866712, 105952142, 10258276, 12467909, 88323546, 28328164, 55923723, 22464142, 34786737, 77867070, 70737589, 19882501, 24766906, 45077948, 4293020, 12526600, 77153737, 50140543, 37520657, 111787129, 28854300, 7492623, 77572742, 19222845, 8434708, 14346587, 2932513, 20716534, 79580175, 99883871, 195146708, 4092571, 604745, 25231044, 22069770, 10148911, 26425554, 33914287, 9576787, 24707432, 8198026, 20229549, 34900327, 29386763, 93419607, 313162, 14187457, 40852146, 69602960, 47002637, 72384762, 67476139, 6464083, 39722141, 112590572, 22575507, 39011870, 82023210 ], [ 24568957, 97085922, 40672129, 27899268, 94269496, 48019938, 29738778, 10909748, 80612661, 88777570, 114984780, 61104504, 12942411, 63070458, 113685928, 200355234, 28669790, 80594054, 6662784, 56392526, 79905841, 41681295, 40985255, 24596848, 5268798, 20593551, 22804455, 44688490, 4139590, 12298038, 64324958, 30479417, 130629805, 72904256, 9919743, 54394875, 53303289, 21224022, 145098460, 129555925, 108687630, 25077686, 98787651, 294156042, 65298916, 11684360, 32313444, 36292908, 97691345, 147982748, 26014536, 10030682, 13671072, 146780180, 93063624, 34775875, 179471924, 6044690, 14648640, 37541129, 35213388, 97305873, 92477920, 48164330, 28367226, 23458859, 9199391, 3934247, 12141502, 83448209, 22704879, 48151106, 43998752, 60270550, 117160094, 136262848, 85345505, 64649441, 19353368, 19249411, 76332171, 629887, 54757914, 31340200, 46977756, 23136344, 154897329, 143590005, 52984891, 73828439, 15063757, 7492623, 193087123, 19222845, 54835128, 141875621, 7349349, 43573138, 114793140, 29595857, 49450810, 28701994, 48659214, 27079775, 165357810, 39897820, 1030147, 155875976, 122719650, 13549282, 332569899, 28438216, 34900327, 217816177, 49127354, 77874438, 14187457, 84680770, 20258823, 83135938, 32182005, 188480489, 3316132, 81277898, 24638621, 56837666, 54663602, 45131165 ], [ 73278332, 13262061, 9024081, 71957750, 21539705, 42600000, 108092179, 42452047, 11338106, 71013518, 57374530, 58141178, 8799657, 15869554, 57273016, 184433098, 18518610, 1320109, 51287163, 153215, 69861726, 80782010, 7013659, 25802137, 8151623, 7024008, 43683287, 2566108, 4139590, 9811063, 155666228, 28857644, 15376883, 19490018, 9919743, 1406850, 32238940, 40264199, 182399285, 26723723, 11142073, 129871006, 69677418, 38809696, 7150152, 72093546, 40836, 5528881, 78224117, 43741075, 4726513, 10030682, 10411787, 67955405, 14602323, 13802806, 46094309, 7865970, 11163758, 16330527, 35213388, 97305873, 74230988, 12293544, 1958271, 114734156, 9199391, 59442247, 50326426, 11128502, 58691418, 6038789, 26179740, 12467909, 20588532, 146629205, 164224496, 62078491, 76316761, 11209908, 17444546, 47292164, 27868436, 99854249, 61016156, 23136344, 21296331, 34969278, 33113321, 22345017, 28854300, 435639, 47854487, 19222845, 26139271, 140188466, 9904138, 25438039, 34881830, 9350717, 100847527, 6227883, 56306782, 28666453, 18629613, 58838564, 1030147, 8315820, 118933817, 49044164, 808038, 43746351, 22799841, 15592437, 144199753, 18594221, 221657, 9219250, 3198598, 28788083, 9391604, 76350134, 6464083, 30294394, 43509338, 4746681, 20692942, 8385885 ], [ 61560207, 97085922, 31489282, 64949304, 136245013, 65875686, 81223123, 527077, 25968269, 129949107, 150685462, 74243328, 22757081, 42444667, 15549299, 12482384, 7619152, 148363555, 5524917, 91072366, 29984501, 187198807, 28222504, 34088334, 15072477, 120402691, 56824150, 14260013, 36979083, 9811063, 114118513, 48525486, 130629805, 19490018, 9919743, 22598478, 66556052, 147319815, 38507876, 7122117, 11081450, 26317362, 98787651, 124972417, 175006784, 48317508, 71303355, 33027000, 78318440, 52133795, 26014536, 30257612, 95532786, 13554292, 45390288, 13802806, 69399563, 120525191, 14648640, 82513676, 55096140, 163526627, 32872819, 29897836, 758187, 23458859, 9903185, 109722322, 94420609, 11128502, 12865046, 220884734, 26179740, 12467909, 197890468, 154794640, 71512655, 62078491, 19353368, 26225179, 33059052, 26643851, 87097224, 140116245, 48737309, 4804257, 147580524, 34766411, 6061460, 5362144, 15228439, 7492623, 47854487, 19222845, 68210395, 5232805, 242640728, 43573138, 75245992, 26937213, 2278521, 22447868, 64410245, 132992065, 98919823, 36188027, 12047128, 25347293, 12933874, 254881093, 66279234, 152283894, 34900327, 43438306, 199166581, 77874438, 14187457, 52938569, 24346444, 51565532, 32182005, 183431080, 6464083, 117079825, 23136354, 224365826, 13486249, 54727878 ], [ 254535102, 91744079, 16012656, 39837344, 33277103, 7829423, 129549792, 10882454, 11338106, 43540580, 111594686, 17837074, 34019496, 69439694, 57273016, 21736456, 35635354, 44778422, 29157526, 6047579, 1549220, 238313714, 42401410, 117605892, 202015670, 61787091, 9823384, 17002392, 4139590, 21147669, 88277132, 48525486, 92420806, 87555067, 45833784, 15893949, 21071992, 125350875, 213524267, 26723723, 36108440, 124550739, 147905445, 47245645, 114725056, 10151165, 91975986, 10660497, 106295078, 85786520, 26014536, 87331021, 347840646, 28863318, 98129014, 55156742, 75770217, 9884510, 13637072, 77008706, 10438450, 163526627, 142720013, 15008321, 180005608, 65929704, 63633085, 12512447, 25329720, 11128502, 119785082, 28228757, 104330210, 60270550, 33384915, 116247650, 219322894, 51553367, 24397799, 16213445, 262056650, 231759227, 40525522, 267321544, 179611863, 880926, 77153737, 8876716, 16318277, 73828439, 95172109, 9952316, 8702321, 19222845, 15727200, 99126886, 9904138, 15323433, 8006431, 30702354, 156622523, 292329429, 6110765, 144671002, 29603894, 60476281, 30654641, 21571738, 35164341, 536436, 31533926, 79449101, 107895012, 29386763, 149147170, 66124152, 69370192, 135279616, 5548202, 51565532, 7805551, 207669906, 74542757, 78707398, 105452063, 121850242, 48793379, 8385885 ], [ 20355458, 83328899, 69934916, 106844904, 136245013, 42600000, 81223123, 13114220, 33723746, 245684292, 119367130, 69354034, 71615469, 75666424, 57273016, 41070044, 71009355, 1320109, 68862158, 56392526, 29984501, 228018192, 54507159, 34088334, 140891725, 117016792, 7868675, 75995835, 24419798, 21147669, 108267654, 385182958, 98221059, 182870445, 9919743, 22598478, 95726195, 61138003, 31734470, 26723723, 36108440, 383563064, 98787651, 31729663, 196490833, 181581527, 40836, 83479361, 291532897, 159328860, 26014536, 72909231, 246096465, 21139736, 98129014, 84431681, 174468531, 6044690, 14648640, 82513676, 134056173, 163526627, 33395442, 48164330, 28367226, 180770931, 60930050, 14403749, 90609775, 11128502, 12865046, 88350592, 43998752, 190253673, 144697420, 76258876, 115312267, 153256902, 19353368, 7071017, 8213627, 99339, 63258861, 147348684, 167916122, 23136344, 109377386, 143590005, 38708815, 82618993, 119485024, 7492623, 105846135, 19222845, 90279335, 5232805, 48458151, 24784734, 90257210, 170678808, 195146708, 218835269, 31331260, 33905876, 29603894, 115582686, 160122026, 155875976, 35164341, 48503409, 8198026, 152283894, 103804387, 190708686, 199166581, 44325341, 14187457, 52938569, 29427409, 51565532, 32182005, 52483384, 17832662, 78707398, 171821939, 166270172, 57156642, 75877545 ], [ 73278332, 97085922, 213557621, 213877918, 39546168, 7829423, 108092179, 58667997, 465504667, 87794445, 151853792, 74243328, 71615469, 3626888, 180966442, 158902529, 100512028, 87578813, 10270580, 268826518, 188368336, 305672261, 48133062, 13130855, 31517016, 142014485, 44716106, 46274253, 85673659, 204697674, 154673389, 33706055, 5807442, 6952233, 9919743, 100200947, 85660278, 37381945, 48841519, 37153598, 48325507, 114069360, 98787651, 61714601, 58374260, 181581527, 16984205, 5541362, 28791263, 78224680, 156573038, 65589842, 161036725, 13554292, 17366602, 106487485, 42397331, 6044690, 198937310, 104308639, 8583213, 64854393, 138033236, 97874001, 28367226, 32473621, 76249953, 20876282, 148284062, 11128502, 24161176, 282661508, 137409740, 83174504, 7722635, 116247650, 122665165, 176216109, 169109617, 13756860, 285722450, 46523739, 27868436, 26791723, 319326361, 8072599, 77153737, 34766411, 33113321, 40272716, 252906756, 7492623, 131013847, 19222845, 72844861, 120794670, 205746004, 43573138, 270386250, 205353209, 82857596, 185760851, 48659214, 36786239, 165357810, 134968746, 160122026, 43313435, 35164341, 149045109, 49793696, 116774083, 1250663, 183972630, 240354627, 77874438, 49174814, 9219250, 114234826, 17994755, 163017436, 76350134, 85358323, 78707398, 212592749, 121956066, 115254052, 45454095 ], [ 1420552, 68663819, 36485630, 76407938, 125013236, 49959088, 108092179, 7828329, 40835386, 53508313, 119367130, 55136879, 12121444, 63714770, 7507939, 97040366, 60984982, 1320109, 29159332, 81649942, 35431212, 250589251, 19818532, 193178611, 101437440, 18166776, 70439458, 46274253, 37678757, 21147669, 14630227, 32365303, 13565679, 528225, 57270658, 127662907, 46427021, 29814910, 23580742, 9782604, 26458142, 9182292, 26548629, 124972417, 1994469, 26112133, 22487531, 5169016, 4656625, 85786520, 26014536, 47881186, 7060369, 13554292, 19238605, 34478100, 47136653, 9172162, 148843, 46977691, 6177366, 28342726, 90223625, 74046888, 29769179, 23458859, 16163808, 5412935, 58181501, 3154200, 1316220, 25741311, 2585693, 4832911, 20588532, 22824822, 27684402, 31343280, 48062919, 108979105, 28649907, 4141606, 3450763, 45077948, 171927323, 38758829, 1942576, 34766411, 74453127, 12571273, 4822408, 15214647, 35744754, 13411907, 38453706, 2358364, 53037760, 3374612, 6179357, 19898342, 73684003, 57308569, 1808726, 114835017, 37761538, 50323229, 60909453, 21344025, 11775402, 29267038, 31533926, 18245555, 10367847, 75222315, 74075083, 77874438, 142519476, 24757548, 3527865, 7574241, 10640145, 63339542, 10146449, 39724630, 105200393, 18615545, 34395922, 70265248 ], [ 61560207, 61167770, 44621595, 82549059, 14042960, 43448778, 82241178, 92093921, 47429823, 87794445, 49052728, 17470031, 8799657, 13225133, 7706581, 105822610, 98507634, 44778422, 46959627, 22696440, 12504639, 36231912, 54507159, 9683852, 21710163, 21578825, 47511063, 46833787, 25803684, 21147669, 154673389, 30197428, 5807442, 26711970, 9919743, 180270267, 5698647, 27492701, 157583278, 37547910, 48325507, 76255463, 53244216, 116766531, 26854428, 12237799, 46963576, 33027000, 175464182, 52133795, 27794976, 74487567, 208294153, 130090750, 43134224, 10654555, 55995690, 7865970, 14648640, 190617102, 43117440, 66316249, 9693615, 48164330, 72999968, 126567725, 70066454, 33650628, 79647823, 11128502, 167291260, 92353416, 7075775, 70945727, 59572844, 235534868, 142157452, 62078491, 95255415, 108979105, 13600253, 98552377, 21677062, 45077948, 48897944, 23974405, 56209145, 73037722, 9807810, 87371779, 16960244, 7492623, 5096699, 471631, 24039112, 35376341, 9904138, 9261774, 118099464, 30702354, 40915217, 53140084, 41078699, 19278838, 46943555, 201785340, 160122026, 43313435, 35164341, 85137971, 49649578, 27382384, 93898343, 75181303, 128234247, 77874438, 4285659, 9219250, 162226585, 74270278, 103526719, 67476139, 10839648, 53274805, 14484596, 18615545, 39011870, 82023210 ], [ 61560207, 10797836, 31489282, 74511019, 33277103, 38081745, 82241178, 21184333, 25044537, 23306565, 119367130, 9491245, 8799657, 63714770, 11272041, 128326798, 18518610, 6199958, 5524917, 22696440, 133188366, 99561417, 19818532, 9683852, 8151623, 7844174, 10138301, 75995835, 4139590, 9811063, 62259881, 30197428, 16876031, 19490018, 35609502, 1437589, 31600162, 89144543, 21717220, 7122117, 26458142, 9182292, 62744745, 27736052, 30967139, 12237799, 20005913, 18733177, 58222733, 85786520, 26014536, 7540255, 12789386, 16215002, 17366602, 96633, 67533287, 7865970, 14648640, 99788052, 61606123, 139687034, 44960964, 48164330, 97794974, 96252702, 16163808, 33123622, 40395617, 11128502, 22704879, 45992453, 7075775, 12467909, 59572844, 530850, 19768482, 45403934, 5564859, 19249411, 6360499, 176068714, 21677062, 126663628, 6891802, 23136344, 73946778, 34969278, 74453127, 7046341, 13438897, 15214647, 8702321, 19222845, 72844861, 75897377, 37119810, 15323433, 1920392, 3962925, 38867257, 22447868, 42410573, 11329710, 38142407, 34641893, 87283828, 98969980, 35164341, 32049226, 31533926, 83635721, 61107429, 7483654, 101683649, 71561743, 4285659, 119569578, 3527865, 51565532, 10094996, 67476139, 6464083, 39724630, 51125858, 18615545, 33857698, 69158722 ], [ 20062510, 97085922, 29403506, 453750, 16061571, 7829423, 157367015, 7828329, 47429823, 14466046, 60840185, 55136879, 17633705, 46120302, 88549402, 97040366, 60984982, 44778422, 21654249, 4131279, 22960903, 98765786, 19818532, 34088334, 47033793, 3834772, 10138301, 167228366, 8082797, 9811063, 14630227, 21113975, 50808603, 9032557, 9919743, 20839629, 33233993, 29814910, 143721966, 3894685, 26458142, 9182292, 24433641, 10421108, 7150152, 26112133, 22487531, 88607434, 40101967, 52360811, 26014536, 47881186, 13709867, 11660676, 54131715, 10654555, 106326896, 40816405, 14648640, 55867392, 64474081, 66703717, 81567638, 6921616, 18108713, 23458859, 37979439, 22839916, 58456141, 3154200, 38180397, 25741311, 2585693, 4832911, 20588532, 47274010, 18781794, 31532024, 29846511, 108979105, 55300683, 20537268, 3450763, 103602583, 33774110, 23136344, 1942576, 12331265, 4808035, 49107723, 23050872, 7492623, 35744754, 19222845, 32598474, 28933106, 9904138, 5507501, 6179357, 30702354, 15125154, 22447868, 1808726, 77352489, 165357810, 50323229, 75384650, 58570577, 49539617, 32906236, 31533926, 18245555, 10387940, 75222315, 15417108, 77874438, 3207842, 55611766, 3527865, 11520981, 10640145, 52548562, 6464083, 21448437, 40518233, 85580244, 15170477, 4946246 ], [ 192146380, 83328899, 6413290, 116750431, 25910147, 7829423, 67601439, 130453420, 69639643, 53508313, 33741451, 74243328, 71615469, 75666424, 19891697, 201684345, 22781173, 44778422, 177247748, 98680783, 90803632, 20708158, 54507159, 34088334, 79409986, 23961323, 230950448, 8874972, 36979083, 9811063, 90105736, 230307933, 123906366, 90961544, 9919743, 22598478, 85660278, 88427717, 202643338, 37547910, 48325507, 16481664, 48693358, 93323456, 58239002, 5564078, 90365535, 145062040, 102949115, 40259623, 26014536, 10030682, 184495468, 197970819, 47110452, 13802806, 179471924, 134823790, 111372459, 161695265, 270316063, 163526627, 164594446, 74046888, 35286264, 41590808, 70963042, 167615967, 80335514, 11128502, 140177897, 6038789, 26179740, 91558758, 20588532, 116247650, 48982349, 71500726, 7938447, 38485787, 69243087, 94236501, 265098976, 69551399, 8841244, 23136344, 31778934, 47771773, 144486926, 164468550, 179686269, 7492623, 100685828, 17827482, 72844861, 113269742, 9904138, 43573138, 6179357, 9350717, 173632580, 22447868, 64410245, 132992065, 18629613, 64518284, 160122026, 291330493, 34876180, 32459775, 364340403, 152283894, 34900327, 111695703, 64756944, 49717769, 6292514, 48966482, 24346444, 51565532, 10094996, 67476139, 142662399, 78707398, 103461832, 121956066, 129310753, 59881781 ], [ 6925873, 75324996, 40672129, 74511019, 83464253, 7829423, 69401612, 130453420, 47429823, 16677736, 32090593, 55136879, 33167983, 39175709, 57273016, 165226026, 18518610, 148363555, 5312691, 138673085, 90803632, 117615444, 54507159, 34088334, 8151623, 47168326, 14331895, 201226634, 4139590, 9811063, 94747471, 53467749, 50550587, 48258577, 9919743, 22598478, 85660278, 22231950, 103015836, 37153598, 63502859, 100297848, 20369260, 11396058, 84671447, 26112133, 46963576, 144454138, 201257836, 85786520, 26014536, 10030682, 8785027, 67955405, 74241463, 13802806, 19594764, 10073692, 14648640, 186875839, 11335379, 163526627, 68204791, 38677119, 35286264, 51402350, 241739040, 22839916, 50326426, 11128502, 140177897, 12504994, 26179740, 47952894, 20588532, 116247650, 15803421, 53326111, 95255415, 19249411, 2826724, 629887, 3450763, 224883018, 6924953, 8072599, 31462174, 141490397, 16187715, 73828439, 39300338, 7492623, 76721615, 371567, 44036901, 103694152, 45218062, 9458164, 6179357, 164376386, 56615439, 22447868, 29360703, 114835017, 2199822, 42055225, 160122026, 80688524, 35164341, 28840007, 31533926, 152283894, 18605796, 110223956, 88991517, 35199828, 14187457, 6078967, 3527865, 51565532, 188308215, 76350134, 89377916, 4241466, 11770568, 85580244, 54663602, 82023210 ], [ 1420552, 10797836, 40672129, 14325490, 136245013, 29709941, 65505366, 117250155, 166942238, 130105926, 30421189, 9491245, 8799657, 75666424, 57273016, 110662921, 93250683, 78097557, 51287163, 134240263, 7083997, 70120030, 19818532, 27454299, 31517016, 43176167, 22853199, 46274253, 4139590, 9811063, 18868814, 19256234, 130629805, 187451739, 9919743, 9019412, 85660278, 305969236, 110155120, 37547910, 26458142, 72822749, 98787651, 17925071, 49882280, 5564078, 3890878, 144454138, 51694254, 925330, 227737895, 10030682, 11455199, 3609189, 84521005, 10654555, 67533287, 7865970, 14648640, 79400751, 22719135, 157094857, 76757418, 5185543, 70164778, 8767110, 70797506, 20876282, 105427942, 11128502, 140177897, 104722467, 26179740, 18583904, 20588532, 137192677, 1375471, 90102240, 44841138, 11823460, 70737589, 51068483, 76929319, 152145799, 8841244, 23136344, 62842898, 34766411, 57590132, 73828439, 13438897, 1269500, 35881988, 19222845, 72844861, 75897377, 113461032, 5507501, 46258970, 104335650, 73684003, 22447868, 52718830, 11329710, 37761538, 150049881, 47583747, 21170252, 12821873, 190974156, 31533926, 92699482, 1250663, 259420844, 195534471, 65502015, 14187457, 6078967, 19888394, 51565532, 51613150, 67476139, 85358323, 39724630, 33747151, 11192587, 34395922, 82023210 ], [ 59840732, 33639491, 20551867, 3437469, 33277103, 7829423, 81223123, 157213518, 49027509, 142793895, 134999994, 39101763, 33167983, 63714770, 44236102, 19976810, 92596746, 148363555, 36161704, 30519597, 29984501, 46042705, 54507159, 34088334, 21710163, 43176167, 16674892, 46274253, 23647385, 18419991, 32318278, 30479417, 130629805, 6952233, 3490944, 90299454, 24851915, 53911776, 1806722, 37547910, 5403292, 1836028, 98787651, 124972417, 6999984, 72681927, 16984205, 5528881, 28791263, 26018692, 26014536, 10030682, 90500402, 13554292, 5206059, 10654555, 42397331, 5098092, 14648640, 3273175, 151728190, 105334822, 33395442, 19368259, 62547335, 56016886, 110304335, 20876282, 34701103, 11128502, 9863883, 41029784, 79637443, 4911996, 59572844, 40241630, 162094443, 47222479, 95255415, 65833656, 38633454, 106157112, 1743522, 23738202, 32908317, 23136344, 6180455, 34766411, 31459281, 25413000, 191962791, 7492623, 8702321, 19222845, 20286424, 73816785, 30895596, 15323433, 14204688, 32328827, 107737063, 9570998, 29360703, 33373381, 135089626, 134518649, 57403827, 34281400, 35164341, 24683697, 31533926, 23082309, 93898343, 41709115, 50989091, 162911, 14187457, 9219250, 2147288, 94962878, 21176941, 67476139, 44829653, 4241466, 153618155, 18615545, 20784567, 20569385 ], [ 52434260, 97085922, 761466, 80487212, 116322277, 7829423, 81223123, 81385299, 163212412, 43240855, 151853792, 74243328, 33167983, 19194131, 57273016, 19976810, 166481215, 1320109, 105733785, 57523743, 7083997, 46042705, 54507159, 34088334, 2412735, 142014485, 9823384, 46274253, 36979083, 9811063, 90105736, 48525486, 33588870, 6952233, 3490944, 15893949, 45742762, 63932232, 202643338, 37547910, 48325507, 39668587, 98787651, 124972417, 48995767, 72681927, 8899107, 5528881, 158281515, 75118583, 26014536, 7540255, 90500402, 13554292, 5206059, 13802806, 42397331, 9172162, 6193999, 221127417, 22719135, 163526627, 33395442, 48164330, 2663878, 8767110, 55101463, 20876282, 94420609, 11128502, 24161176, 94246456, 26179740, 12467909, 20588532, 116247650, 133360113, 71500726, 76316761, 65833656, 199114380, 100430043, 93224471, 126663628, 4293020, 8072599, 140859842, 34766411, 48669013, 25413000, 20114767, 7492623, 131013847, 10578224, 61536432, 89704178, 9904138, 43573138, 65795867, 30702354, 84981834, 4092571, 52718830, 33373381, 165357810, 134518649, 144230593, 39825510, 7958284, 172146749, 31533926, 152283894, 51604706, 128396009, 50989091, 162911, 14187457, 54359416, 24346444, 94962878, 105648214, 67476139, 6464083, 65958929, 85833506, 44785241, 131096316, 81159617 ], [ 24175356, 34562125, 40672129, 59635264, 125013236, 38081745, 173796910, 106750763, 47429823, 71013518, 22226984, 17470031, 33167983, 105948890, 4724026, 13112516, 21637467, 150880082, 78674232, 156557503, 38320394, 46042705, 41796310, 34088334, 34078856, 3571107, 17558543, 43351132, 37678757, 21147669, 5859786, 240356324, 88724860, 187451739, 9919743, 100200947, 62798519, 76234371, 97049615, 36700884, 29972900, 19994467, 49905013, 73242172, 29750484, 26112133, 26886203, 71391622, 37070392, 129203371, 50308721, 4856150, 188333949, 211551143, 74241463, 213605137, 3093796, 71019915, 14648640, 182284838, 61606123, 26025806, 137807807, 48164330, 116175762, 51960117, 9903185, 193512378, 114870372, 11128502, 47738403, 94246456, 37573702, 4832911, 14500119, 119911809, 142157452, 79355569, 95255415, 7171234, 94888735, 629887, 3450763, 6665977, 48897944, 23136344, 44134169, 61677372, 52984891, 5362144, 63435686, 7492623, 72947643, 19222845, 24038618, 59474182, 37119810, 43573138, 62388662, 20067601, 22953946, 79870237, 15957270, 42496951, 165357810, 62599564, 46999773, 16777169, 21804975, 63829230, 161320445, 85667536, 15021793, 23628847, 30061895, 76997010, 14187457, 54359416, 3527865, 94962878, 10094996, 67476139, 162488012, 78707398, 113887119, 121956066, 12567322, 12517399 ], [ 114862213, 69513721, 40672129, 27133817, 9926922, 4068164, 59132993, 30391140, 31816588, 59224995, 79971101, 15642840, 8799657, 29888653, 20968951, 97040366, 8526736, 148363555, 145904091, 102787669, 7467165, 46042705, 54507159, 27454299, 17271424, 43176167, 1156155, 87516700, 4139590, 21147669, 98652088, 117235039, 77892940, 75366654, 9919743, 43959521, 85660278, 56484265, 71199642, 29478518, 108687630, 39668587, 98787651, 119808542, 105854960, 92351316, 22487531, 79463455, 201257836, 40251806, 26014536, 10030682, 5217428, 21139736, 98129014, 15634040, 26847428, 7865970, 14648640, 25490684, 112539423, 136345621, 132697896, 12293544, 145221077, 49882967, 16163808, 71913506, 105427942, 11128502, 140177897, 40003924, 46347257, 60270550, 20588532, 107155881, 155820961, 185989401, 13309723, 19249411, 4623184, 176068714, 11231871, 29762246, 41212444, 23974405, 166806064, 143590005, 52984891, 40672145, 76231670, 7492623, 82716240, 13411907, 88171849, 71257890, 49803073, 5507501, 86882767, 32328827, 234684, 79870237, 56306782, 16391438, 193875490, 223303911, 40607043, 6373325, 9501087, 63829230, 31533926, 65918568, 1250663, 75626319, 128133452, 65502015, 14187457, 6078967, 74848522, 83135938, 43942944, 53895132, 38535377, 78707398, 33747151, 18615545, 54663602, 68969974 ], [ 71801785, 11182169, 28191433, 297327025, 25910147, 142944704, 138825044, 109797477, 212813808, 71013518, 90727565, 74243328, 33167983, 59370111, 260574806, 23830562, 45439897, 107112898, 51287163, 124841748, 155369916, 46042705, 37469071, 65539495, 21710163, 43176167, 194321170, 8874972, 36979083, 9811063, 154673389, 109224323, 546566, 75366654, 9919743, 22598478, 59625208, 71807230, 209717285, 37547910, 48325507, 39668587, 49905013, 71458246, 239972320, 181581527, 124662508, 83048820, 76526466, 24496744, 182241743, 87331021, 295470984, 37635859, 47110452, 96633, 179471924, 10817255, 108562754, 16330527, 416883383, 69240551, 151935532, 74046888, 63203376, 61600159, 94534690, 69832536, 58456141, 11128502, 27757256, 73698525, 26179740, 118429636, 20588532, 67662631, 33927568, 235567044, 169109617, 102296814, 63506446, 28654178, 81175222, 92119463, 315258649, 113848344, 73515714, 106482709, 18547000, 24821285, 309724105, 7492623, 5096699, 10578224, 72844861, 88201049, 38990776, 3240417, 56125474, 32328827, 45749314, 22447868, 13516224, 132992065, 18629613, 86673654, 40607043, 79112076, 35164341, 48503409, 8198026, 122592176, 62702179, 75305866, 88138403, 64089028, 82300461, 54359416, 24346444, 51565532, 10094996, 67476139, 45672793, 78707398, 140132668, 2330188, 113571343, 82023210 ], [ 1420552, 22529708, 40672129, 117514230, 9926922, 57307258, 29738778, 55032171, 47429823, 4547351, 22226984, 17470031, 56211229, 75666424, 20968951, 114534474, 98507634, 44778422, 51287163, 7973321, 53308318, 65473172, 54507159, 34088334, 79409986, 43176167, 60527974, 180010215, 21440549, 21147669, 82703023, 74544783, 168067667, 528225, 85520679, 22598478, 11476920, 38424988, 131021875, 37547910, 48325507, 17307969, 84011763, 88348109, 105854960, 5564078, 29968857, 145062040, 58222733, 105776087, 26014536, 10030682, 141616975, 67955405, 74241463, 29246001, 163969303, 175269876, 14648640, 75139677, 27386591, 146962618, 4898762, 47980771, 68883514, 131572695, 131606927, 3934247, 58456141, 11128502, 9349723, 9282362, 41608186, 118429636, 20588532, 84630595, 48982349, 71500726, 95255415, 25407974, 162291132, 629887, 24766906, 61282264, 8841244, 23136344, 44134169, 34969278, 17130826, 73828439, 637375, 15214647, 120418407, 19222845, 41533789, 59474182, 9904138, 43573138, 62388662, 30702354, 75257918, 27575029, 48659214, 4209507, 18629613, 72433160, 47583747, 163754074, 9501087, 79350361, 330034141, 129517184, 42207456, 57972707, 61284526, 77874438, 14187457, 134045925, 139063117, 41209637, 10094996, 76350134, 45672793, 78707398, 127778075, 49757387, 34395922, 74987668 ], [ 153523693, 75324996, 91521943, 49242143, 25910147, 56865788, 26883176, 165728100, 47429823, 71013518, 22226984, 35361854, 71615469, 13920403, 4724026, 39070086, 53555770, 68281884, 5312691, 68725062, 66131705, 18862324, 54507159, 34088334, 79409986, 47168326, 60527974, 36072359, 4139590, 21147669, 154673389, 53467749, 84605634, 51458735, 9919743, 1437589, 102069837, 181964479, 12097461, 34923500, 48325507, 6448678, 37415835, 744442, 83574487, 10151165, 22487531, 18733177, 28375916, 60223950, 24144608, 65712735, 11455199, 49755262, 74241463, 15634040, 92560212, 8221730, 14648640, 16330527, 53523994, 94855179, 4898762, 48164330, 143485884, 8767110, 39721076, 59124870, 163030879, 11128502, 65080746, 72911818, 41608186, 60270550, 8301896, 215810727, 4721807, 45403934, 10845223, 19249411, 45404420, 629887, 6244249, 70947961, 12184028, 8072599, 44134169, 143590005, 137049069, 73828439, 637375, 7492623, 8702321, 19222845, 72844861, 59474182, 113461032, 12657835, 593060, 22455383, 207472463, 16609645, 22173503, 15381447, 18629613, 42055225, 106465864, 39373434, 34653169, 137825057, 175603418, 85667536, 62702179, 75626319, 44866305, 65502015, 14187457, 9219250, 65373577, 83135938, 7805551, 13038670, 64571344, 3030832, 33747151, 121956066, 33560528, 82023210 ], [ 5468845, 83328899, 21464014, 130307063, 18087757, 7829423, 123781816, 96591170, 40835386, 101863845, 22226984, 17470031, 71615469, 63714770, 4724026, 97040366, 8526736, 65112355, 33323390, 56392526, 53308318, 46042705, 48133062, 34088334, 31517016, 160619031, 79781033, 46274253, 85673659, 21147669, 90105736, 24998216, 68877497, 528225, 9919743, 8766403, 15948992, 15739239, 14547347, 1737148, 48979782, 38774842, 89956363, 73242172, 109967989, 96568712, 8899107, 5528881, 92960634, 82220011, 26014536, 10030682, 28551907, 46526290, 26888288, 34478100, 20304183, 66324518, 14648640, 70766051, 8564501, 48287149, 38504136, 16706582, 10128175, 74773151, 101831917, 15472893, 34854150, 9038949, 22704879, 4126232, 43998752, 88502549, 8301896, 29962433, 177066412, 31532024, 29846511, 1081391, 9057749, 629887, 6244249, 5018314, 48897944, 23136344, 26321502, 84534261, 35901352, 73828439, 1514068, 7492623, 5096699, 19222845, 60854711, 998197, 44055985, 15323433, 62388662, 32328827, 75257918, 9498304, 52718830, 28666453, 53036788, 4696912, 19570961, 32299509, 9722769, 47500651, 31216632, 18668880, 1250663, 66096628, 147202573, 71561743, 14187457, 90541922, 74309083, 94962878, 94412589, 53895132, 7194354, 54702661, 91774443, 4957152, 11529520, 28651881 ], [ 19805638, 46317714, 91521943, 43872504, 136245013, 32614527, 75869350, 117250155, 47429823, 69172837, 9939647, 74243328, 71615469, 13920403, 119504632, 189846111, 103771983, 148363555, 67636306, 2916047, 17088587, 144833982, 54507159, 34088334, 4836413, 40193786, 159337546, 166038206, 998259, 21147669, 13626004, 48525486, 13784895, 169626572, 9919743, 154924564, 52868871, 34814590, 70368511, 10679662, 77659118, 100297848, 2746479, 124972417, 133202078, 159340643, 10632330, 145062040, 73122444, 85786520, 26014536, 75979441, 39362456, 45244718, 9092570, 108521846, 6534633, 471298427, 14648640, 61634802, 168977238, 42627051, 33395442, 15008321, 109739542, 177791293, 43453996, 222824585, 106203847, 11128502, 109538670, 70201563, 8142292, 110104068, 55101405, 8942868, 4721807, 181625212, 10845223, 27269282, 85092160, 51068483, 11231871, 160147914, 226486552, 23136344, 31462174, 143590005, 56706148, 73828439, 142284667, 7492623, 29804875, 3451494, 64264847, 91311068, 29218734, 16829863, 3522355, 136110837, 101228163, 52668225, 9888261, 15381447, 41675183, 5937249, 17786957, 43313435, 35164341, 17299405, 2743013, 36924670, 1250663, 6531870, 6113180, 57864144, 14187457, 9219250, 74309083, 40693849, 29709297, 67476139, 138934465, 22954088, 97987349, 43081569, 84791664, 4334444 ], [ 36693887, 61167770, 82475550, 37324411, 32419724, 7829423, 157367015, 232215926, 47429823, 113450913, 49052728, 55136879, 67655109, 75666424, 70741861, 231541288, 77397723, 39329147, 118656017, 138673085, 243207779, 73774743, 52292132, 27454299, 5268798, 21578825, 8025753, 93277465, 92905508, 21147669, 90105736, 307463833, 124688148, 528225, 111609979, 22598478, 94016595, 89144543, 240537181, 36700884, 132820209, 100297848, 32764349, 56158645, 141293504, 4431880, 46963576, 131693419, 249693, 85786520, 26014536, 75979441, 136694316, 134442915, 25163821, 206325895, 179471924, 131914383, 24524268, 61634802, 74954843, 53945050, 81567638, 317560233, 345137015, 152204219, 12252603, 105572524, 58456141, 11128502, 117715549, 362662810, 33291019, 49872087, 101721631, 116247650, 142157452, 71500726, 48237347, 108979105, 160852422, 629887, 24766906, 220304519, 48205917, 44324365, 31462174, 103171910, 35901352, 73828439, 23050872, 29988136, 5096699, 127285520, 225390084, 94523830, 9904138, 5507501, 18524312, 30702354, 75257918, 292329429, 29360703, 114835017, 216823123, 84913038, 100143768, 238510339, 35164341, 85137971, 31533926, 182585990, 10387940, 146385614, 52211992, 77874438, 142519476, 134045925, 3527865, 51565532, 263551128, 13707493, 93245239, 28196801, 140132668, 85580244, 84791664, 8529667 ], [ 73278332, 97085922, 91521943, 311917730, 136245013, 49959088, 119080967, 7828329, 28230895, 91558702, 119367130, 74243328, 8799657, 53054106, 23609316, 33600740, 76141940, 49797904, 51287163, 21558226, 7467165, 250589251, 19818532, 104388122, 15072477, 43176167, 17558543, 46274253, 36979083, 9811063, 154673389, 38606700, 43864918, 19490018, 3635211, 43959521, 140274632, 57957112, 48239390, 18732862, 26458142, 67070861, 84011763, 124972417, 125076036, 10151165, 46963576, 375422674, 40101967, 89121664, 26014536, 36602426, 11029384, 49755262, 74241463, 13802806, 6760023, 7865970, 14648640, 28652780, 112539423, 14572170, 46160728, 48164330, 104946296, 137077539, 2235822, 20876282, 94420609, 11128502, 19021482, 30585461, 26179740, 12467909, 59572844, 149462396, 142157452, 85225184, 71715180, 26225179, 160852422, 176068714, 24766906, 77888265, 227168541, 23974405, 157985860, 74159411, 57590132, 73828439, 28854300, 7492623, 8080426, 19222845, 72844861, 28353269, 53037760, 5507501, 126468224, 285271196, 73684003, 22447868, 22173503, 132992065, 165357810, 98045334, 57020020, 43313435, 20953012, 29184568, 49793696, 99687739, 108328295, 75626319, 119743459, 77874438, 14187457, 9219250, 3527865, 9003037, 7805551, 198896867, 6464083, 78707398, 171916909, 121956066, 140793389, 158189237 ], [ 329493311, 13262061, 91521943, 157120283, 136245013, 239042505, 5481880, 10728620, 47429823, 179567716, 34282536, 74243328, 33167983, 139188545, 205191867, 50646029, 121259239, 380817300, 177247748, 30129492, 181873270, 18862324, 54507159, 149316096, 220122681, 47168326, 311684793, 36072359, 107182592, 21147669, 46515995, 307463833, 130629805, 75366654, 9919743, 186045798, 140274632, 146084899, 23580742, 37547910, 48325507, 9182292, 93182543, 124972417, 251836186, 181581527, 46963576, 121024101, 316981337, 85786520, 351296524, 653184822, 111869230, 211551143, 74241463, 15634040, 179471924, 229046455, 136378080, 61634802, 112539423, 15291263, 151935532, 59834862, 202261680, 21407640, 131606927, 11729070, 55544818, 8937545, 94932526, 233537072, 104330210, 97447020, 59572844, 146629205, 142157452, 193123575, 49381587, 108979105, 285722450, 33612121, 24766906, 3069111, 77254106, 367387307, 638225406, 143590005, 90411573, 412202566, 191962791, 7492623, 13755254, 131157414, 72844861, 625471654, 224505841, 43573138, 120088344, 37717891, 490500285, 71964917, 64410245, 154933537, 351791583, 678737953, 205713013, 238510339, 40046319, 309763292, 31533926, 152283894, 34900327, 194734734, 144199753, 77874438, 142519476, 41854819, 162226585, 90507478, 694550101, 126712521, 428297840, 100442040, 349853773, 121956066, 49576390, 158189237 ], [ 24175356, 75324996, 29403506, 51594079, 48372400, 7653309, 98350183, 7828329, 54905576, 113450913, 33741451, 69723297, 16948464, 63714770, 21280646, 10730835, 10545885, 1320109, 5312691, 17791148, 11979495, 17955149, 7097485, 27454299, 47033793, 3834772, 1324353, 23527565, 22297431, 9811063, 126499164, 19256234, 68877497, 19490018, 9919743, 9019412, 30742262, 42671267, 14547347, 1737148, 26458142, 39668587, 62927217, 28817370, 39598691, 26112133, 3890878, 13385404, 36134116, 31317004, 26014536, 36602426, 703509, 67955405, 84521005, 13802806, 64388130, 127467688, 4686256, 30973454, 7624188, 2927258, 7898124, 16706582, 35286264, 30384576, 9903185, 20876282, 40395617, 9779706, 35910822, 92353416, 2585693, 4832911, 20588532, 32572650, 79498158, 71500726, 76316761, 57712942, 9057749, 629887, 3450763, 46397336, 12045981, 23136344, 16294989, 45034789, 52865627, 5362144, 28854300, 7492623, 112610509, 19222845, 32598474, 998197, 3998238, 5507501, 141747152, 22200433, 31953348, 16196603, 20159442, 122567273, 34746438, 42055225, 22417381, 32299509, 7958284, 68911876, 49793696, 14097061, 34900327, 9103766, 27020814, 36269613, 14187457, 15090074, 3527865, 9003037, 9566839, 67476139, 6464083, 31443083, 33747151, 11192587, 15170477, 54727878 ], [ 73851808, 60818112, 761466, 51594079, 136245013, 49959088, 78622599, 7828329, 47429823, 53508313, 162301559, 74243328, 33167983, 119668490, 180041740, 338510754, 569091678, 148363555, 13252085, 138673085, 155369916, 46042705, 54507159, 193178611, 31517016, 43176167, 14331895, 46274253, 58822219, 21147669, 145809542, 19256234, 50550587, 187451739, 9919743, 11405745, 43384287, 251614192, 16569881, 37547910, 29972900, 19994467, 98787651, 41882169, 57221722, 26112133, 3890878, 37400635, 298701949, 37933830, 26014536, 10030682, 161036725, 211551143, 74241463, 121287772, 179471924, 73361741, 14648640, 123626732, 26788363, 163526627, 137807807, 48164330, 204045644, 23458859, 27290170, 20876282, 410006083, 11128502, 140177897, 12504994, 109845475, 118429636, 20588532, 146732709, 55496322, 150371670, 95255415, 108979105, 2826724, 76895326, 3450763, 118506760, 103224350, 23974405, 55063471, 34969278, 52984891, 73828439, 193843827, 7492623, 33739783, 19222845, 72844861, 192651787, 53037760, 5507501, 6179357, 32328827, 146455226, 15502070, 64410245, 19046090, 165357810, 72433160, 77177965, 80688524, 49539617, 28840007, 66279234, 51741633, 1250663, 110223956, 135690981, 35199828, 14187457, 54359416, 3527865, 94962878, 40479672, 76350134, 85358323, 62255495, 144500420, 121956066, 91116045, 158189237 ], [ 50613476, 28067557, 10590528, 53684186, 17882147, 177622141, 19233415, 24077093, 77185393, 59499187, 38036421, 7903368, 33167983, 75666424, 25976978, 130971155, 103771983, 72198718, 115763592, 19111562, 7467165, 70120030, 54507159, 34088334, 15072477, 43176167, 14331895, 8982412, 36979083, 9811063, 71489327, 38606700, 130629805, 11538469, 9919743, 22598478, 27916048, 28772929, 72647184, 37547910, 10573161, 9182292, 38664283, 17925071, 4961289, 19310705, 30893601, 9339425, 11664486, 176925783, 26014536, 10030682, 15119195, 118538992, 15007226, 13802806, 16305758, 96398579, 5757148, 41953871, 116874723, 146962618, 5690153, 48164330, 89211766, 23458859, 117692617, 12340235, 94420609, 11128502, 45741989, 12504994, 2585693, 12467909, 7370351, 2718977, 55496322, 92990750, 44841138, 26225179, 76125173, 51068483, 5999447, 20408471, 17176988, 23136344, 13484818, 17643822, 25634552, 73828439, 28854300, 7492623, 112610509, 19222845, 49152822, 44558339, 5674697, 19208649, 104622796, 81208466, 129171126, 22447868, 37162242, 48025551, 165357810, 77211814, 38484741, 16329435, 92495926, 20173648, 28750156, 18245555, 34900327, 14813900, 119098157, 29751085, 14187457, 54359416, 24346444, 15637667, 202251859, 50472285, 6464083, 112463844, 113887119, 36933996, 59543859, 82023210 ], [ 74563733, 39019289, 20551867, 28210785, 136245013, 38081745, 17535596, 21184333, 47429823, 22783534, 30421189, 17470031, 33167983, 13949632, 25672922, 200324416, 19686908, 38602143, 36161704, 128972561, 48046939, 59699018, 40985255, 34088334, 21710163, 47168326, 17558543, 31043805, 25803684, 21147669, 17851763, 94146601, 128895918, 9709645, 5865294, 22598478, 85660278, 21224022, 157186548, 36700884, 42147465, 16616642, 17151460, 79858194, 33962363, 12237799, 46963576, 5528881, 11272485, 45229034, 6585602, 4856150, 29352916, 102121459, 46593443, 28456575, 67533287, 27250178, 14648640, 90923096, 90455863, 19853899, 23188338, 6966118, 49560518, 30384576, 70066454, 47657914, 58181501, 11128502, 2070106, 233537072, 7075775, 13983628, 20588532, 76258876, 94950076, 156856293, 95255415, 11823460, 124233633, 30477930, 11231871, 137016551, 32908317, 23136344, 33873916, 34969278, 48669013, 11581587, 95172109, 7492623, 53375586, 471631, 29116927, 92019396, 49803073, 5507501, 46258970, 62459354, 3124159, 16886895, 41078699, 11329710, 196535353, 19909213, 102658799, 31044122, 118933817, 43103702, 8198026, 95470352, 49504998, 288904857, 237297449, 77874438, 14187457, 54359416, 56693518, 51565532, 26880886, 67476139, 210908185, 4241466, 11770568, 18615545, 20881924, 4643354 ], [ 90772810, 273533805, 91521943, 93620164, 25910147, 83086094, 280093826, 111333070, 65730728, 71013518, 151853792, 43438183, 65689087, 153471467, 180966442, 174316617, 123300023, 148363555, 123521811, 7475966, 90803632, 210746552, 54507159, 227565157, 31517016, 308907719, 79781033, 46274253, 4139590, 21147669, 36342808, 187264413, 226661712, 9709645, 9919743, 84489681, 16974588, 84668470, 110155120, 37547910, 48325507, 212665617, 90763939, 76318034, 90102682, 108704991, 93413578, 5528881, 3156965, 435455, 9640565, 94130647, 132272177, 16189374, 98129014, 2284701, 67533287, 182765512, 4240653, 227219357, 17639151, 501227108, 151573617, 23951579, 35286264, 22986358, 110304335, 12512447, 38129136, 11128502, 120661787, 22133989, 56615821, 30813733, 33384915, 113168606, 134618992, 160120530, 44841138, 19249411, 124233633, 10158467, 162886743, 245979772, 6132503, 23974405, 135119104, 89089028, 48669013, 51003960, 269410632, 7492623, 55900088, 19222845, 15727200, 44916132, 113461032, 43573138, 27524355, 81208466, 60218234, 79870237, 64410245, 7368732, 18629613, 60881301, 146392488, 21571738, 35164341, 100874298, 85809652, 88438720, 1250663, 259420844, 296513126, 76708615, 14187457, 9590762, 79851375, 83135938, 10094996, 67476139, 37246880, 78707398, 113887119, 86728952, 51258757, 158189237 ], [ 58136843, 623171634, 44621595, 37786043, 18087757, 7829423, 81223123, 132883907, 92583342, 16677736, 102887187, 74243328, 68684428, 45439540, 100937820, 23830562, 21637467, 33238538, 203063250, 102297285, 29984501, 261658960, 52292132, 34088334, 87236638, 117016792, 17558543, 46274253, 4139590, 21147669, 90105736, 48525486, 176707072, 200717296, 9919743, 11821283, 118469328, 42671267, 240537181, 18621550, 44288010, 66770715, 84011763, 124972417, 15051790, 117618989, 20005913, 145062040, 79187697, 85786520, 26014536, 75979441, 51243350, 16189374, 26888288, 86751626, 75770217, 195371164, 11163758, 112264670, 16973231, 260374107, 33395442, 13736777, 34617436, 46045885, 61880264, 12512447, 40395617, 9038949, 84848552, 128499382, 104330210, 21737171, 33384915, 26020371, 50022604, 90102240, 95255415, 19249411, 40986634, 257333505, 59181546, 47049673, 99864472, 23136344, 31462174, 103012952, 9807810, 73828439, 23804200, 7458528, 8702321, 10578224, 11381154, 90881630, 101753396, 15323433, 219669650, 279019826, 182107474, 79870237, 64410245, 87522353, 420873, 7845530, 139660530, 21571738, 9722769, 16673229, 31533926, 125186803, 108328295, 291592551, 101683649, 63764556, 14187457, 9219250, 73638437, 83135938, 3506012, 67476139, 85358323, 35781802, 51125858, 4957152, 54663602, 32397380 ], [ 73278332, 13262061, 40672129, 53684186, 136245013, 7829423, 40847644, 109797477, 245584533, 142793895, 33741451, 74243328, 12121444, 63714770, 50053741, 41794532, 18949167, 21683398, 79940077, 138673085, 96953758, 96581, 22829147, 30265834, 101437440, 142014485, 22853199, 46274253, 36979083, 9811063, 35615106, 33706055, 546566, 6952233, 132693101, 22598478, 89979232, 52801736, 3926926, 75025249, 108687630, 124550739, 22122233, 107806842, 39598691, 5564078, 81972550, 11350338, 106295078, 85786520, 26014536, 4856150, 161036725, 207202200, 98129014, 13802806, 41396772, 71019915, 13817472, 82513676, 61606123, 64350344, 11447161, 15008321, 134423015, 32473621, 110304335, 20876282, 111253690, 11128502, 24161176, 70201563, 26179740, 132703814, 7722635, 116247650, 33333343, 153382927, 33584652, 156918761, 13392057, 156045941, 23267185, 45077948, 8841244, 23136344, 31462174, 104721923, 74453127, 57914762, 16960244, 114032897, 120418407, 19222845, 29116927, 66333730, 37119810, 43573138, 90424819, 138887521, 234684, 22447868, 42410573, 16391438, 13727289, 2904225, 160122026, 3824292, 35164341, 20602581, 31533926, 296874145, 15506915, 64738013, 144199753, 77874438, 14187457, 24757548, 24346444, 51565532, 118431638, 37227739, 85358323, 78707398, 109867694, 18615545, 39011870, 109688058 ], [ 258788141, 37810874, 40672129, 51594079, 32419724, 117181016, 123781816, 92093921, 153079691, 338057646, 49052728, 74243328, 33167983, 307610120, 57273016, 231541288, 36090254, 39329147, 68578574, 28941804, 274219147, 47181517, 266106127, 34088334, 112570029, 21578825, 16674892, 93277465, 85673659, 221133773, 14630227, 19256234, 130629805, 30705108, 22427269, 192417717, 15948992, 68839940, 84598180, 194479144, 108687630, 17280545, 222845900, 24447404, 1994469, 247144617, 3890878, 33027000, 4656625, 52133795, 26014536, 4856150, 108005934, 67955405, 25163821, 177120373, 87782041, 387018455, 14648640, 31897130, 73619654, 163526627, 53065489, 47980771, 119783, 51960117, 153379140, 105572524, 63046026, 11128502, 84848552, 61533382, 136922773, 198734601, 420972684, 526098930, 2159615, 62078491, 95255415, 1081391, 57232228, 99339, 11231871, 200902600, 103224350, 23136344, 131190754, 134674203, 69036259, 91604152, 95172109, 188876017, 47854487, 13411907, 29116927, 150701576, 53037760, 26937902, 317823469, 104335650, 382333723, 1824813, 37542637, 272776404, 76955315, 4696912, 160122026, 85289298, 35164341, 85137971, 31216632, 85667536, 15506915, 13069568, 228675372, 56581478, 14187457, 54359416, 3527865, 161495343, 118431638, 63339542, 6067163, 78707398, 343114946, 211491767, 33560528, 79081622 ], [ 34563732, 39019289, 91521943, 53684186, 74048656, 7829423, 123781816, 92093921, 47429823, 90094578, 11836062, 55136879, 118171570, 62186854, 50053741, 53103695, 36090254, 379117229, 177247748, 49056716, 38320394, 46042705, 54507159, 16439853, 5268798, 44920942, 22853199, 39720231, 36290258, 21147669, 26904286, 11712567, 5807442, 85384897, 22427269, 8766403, 15948992, 25552190, 12144592, 37547910, 48325507, 17280545, 6744228, 208569404, 39598691, 181581527, 46963576, 11350338, 92505909, 52133795, 54870120, 74487567, 141616975, 211551143, 74241463, 10654555, 16952720, 27250178, 14648640, 31897130, 243557225, 240729538, 201994913, 47980771, 185476593, 8767110, 110304335, 3446680, 63046026, 70933902, 2070106, 57092899, 16988505, 28358421, 59572844, 116247650, 108260752, 62078491, 95255415, 64468521, 167529509, 41525783, 21677062, 45077948, 27874455, 23974405, 50466096, 71652630, 30838529, 29350927, 16960244, 7522474, 16981396, 26549201, 60854711, 75897377, 232395152, 5507501, 46258970, 32328827, 16393146, 58531171, 114108973, 11329710, 148062336, 267528679, 19570961, 49035105, 35164341, 31737815, 180038627, 443582166, 1250663, 13069568, 114645864, 2677113, 14187457, 24757548, 40680121, 5215278, 205658011, 23424037, 85358323, 78707398, 17067874, 87153703, 39011870, 115893447 ], [ 133117500, 61167770, 33600785, 106844904, 61753862, 38081745, 81223123, 97926186, 31816588, 41997364, 49052728, 74243328, 154090374, 63714770, 382490139, 273319352, 420708681, 44778422, 105733785, 22274426, 29984501, 1032360, 54507159, 267472169, 15072477, 21578825, 228874934, 139013390, 4139590, 21147669, 110960290, 16222560, 30480996, 6952233, 194043116, 122794647, 118469328, 88427717, 42945998, 194479144, 35327262, 242194784, 22122233, 107106667, 132150194, 12349849, 46963576, 28147607, 148714092, 157021027, 26014536, 87331021, 73171789, 13554292, 74241463, 13555269, 42397331, 9172162, 14648640, 185512782, 43117440, 14572170, 33395442, 48164330, 34547780, 32473621, 2235822, 29567968, 101099981, 11128502, 24161176, 215305901, 104311314, 60270550, 7722635, 360466, 142157452, 71500726, 95255415, 19249411, 13392057, 92934686, 23267185, 77888265, 75892124, 23974405, 315452, 34766411, 223189329, 25413000, 12737728, 91358482, 170702097, 338810044, 89830530, 66333730, 9904138, 43573138, 90424819, 30702354, 28286654, 36104330, 11205384, 6052891, 33790723, 59180094, 9374040, 93866529, 31819804, 63829230, 16988394, 24708084, 54272099, 15102331, 15882741, 77874438, 14187457, 120146474, 138884269, 74270278, 15062317, 67476139, 99938139, 151942438, 247431741, 18615545, 30919033, 28598678 ], [ 112082167, 97085922, 12062635, 213139277, 53044868, 7829423, 157367015, 10728620, 11338106, 298392896, 28996345, 50368910, 20820311, 97544519, 82691050, 63008251, 35635354, 30524710, 20245054, 138673085, 425930, 418179, 54507159, 16439853, 17027986, 47168326, 89523395, 49870508, 30777542, 9811063, 86034316, 11282436, 28190702, 103716003, 213186616, 18914570, 140274632, 59540392, 9985536, 7492132, 131749997, 28263753, 50677700, 106204423, 85409986, 12349849, 8899107, 118841025, 57139815, 5935224, 26014536, 86665551, 24439858, 52772735, 74241463, 13802806, 13694432, 74767847, 39065278, 99788052, 22719135, 764685, 774319, 15008321, 2663878, 4770883, 131606927, 313465, 136008509, 11128502, 35979625, 134418637, 26179740, 11856924, 231451721, 24883461, 142157452, 176216109, 80840877, 3400982, 72730439, 35924575, 24766906, 23507974, 132605470, 7244825, 122076125, 33878282, 34164230, 73828439, 167459076, 47568543, 77572742, 19222845, 119176544, 75897377, 35212484, 43573138, 22317967, 13411347, 73647576, 22447868, 48659214, 44385067, 39990073, 2904225, 16100879, 18029310, 26894823, 39156272, 24390835, 50978585, 3314149, 31420260, 135348397, 26394224, 123359600, 9219250, 24346444, 7755034, 47528981, 67476139, 67065931, 39389127, 306721294, 44785241, 104040177, 8385885 ], [ 57301646, 52344162, 21173329, 42141325, 68797297, 49446834, 108702446, 11122756, 31816588, 220623109, 110437456, 60970584, 22260408, 70896706, 36634874, 51959001, 18518610, 12013662, 29159332, 79217957, 57071156, 28666269, 52292132, 1526538, 8151623, 285087, 17558543, 42352681, 4139590, 21147669, 56364034, 9752379, 117146760, 58493542, 9919743, 79103186, 80369532, 12448949, 64238106, 36700884, 116796912, 10259202, 98787651, 124972417, 154069830, 164826086, 59687196, 10009235, 61477754, 26574046, 46464767, 13260044, 12463154, 282390663, 28089235, 247994363, 87289064, 49122919, 30562335, 34215448, 10621390, 136761026, 33261372, 160754148, 116462308, 9567324, 118868889, 58765593, 50326426, 1346686, 117615517, 35693120, 16268261, 60270550, 49304217, 51136416, 9009455, 43988455, 131459453, 19249411, 5989126, 58200585, 14834384, 183263655, 61609566, 95105505, 134580896, 62683917, 138509747, 73828439, 187539133, 7492623, 138770330, 56828641, 103334957, 125254501, 35476009, 43573138, 126612049, 81208466, 147247203, 36104330, 64410245, 125162170, 258989282, 69516744, 127582741, 11886572, 34221970, 13010805, 207442129, 152283894, 108328295, 55059277, 166005035, 77874438, 4778538, 9219250, 2380353, 7574241, 87973016, 3131611, 67065931, 78707398, 62547840, 241950607, 25962945, 123716021 ], [ 42188445, 22529708, 1670534, 80487212, 136245013, 7829423, 17837375, 2831115, 11338106, 13449011, 60840185, 60970584, 71615469, 174118816, 36634874, 39070086, 109549644, 44778422, 108875799, 28941804, 115533903, 46042705, 28222504, 34088334, 116257715, 2475601, 236527341, 19528142, 36979083, 9811063, 3901026, 30479417, 59023697, 46789553, 9919743, 47997296, 47146529, 183141116, 248062087, 101321538, 37678536, 39668587, 12922102, 124972417, 7150152, 8738751, 96064311, 5528881, 158281515, 224854834, 27794976, 105897968, 237845345, 17891465, 16043503, 13802806, 17500540, 150389399, 15972111, 15659086, 152059414, 66740757, 48153480, 36769191, 72999968, 8767110, 107754139, 4267729, 114870372, 11128502, 47738403, 93778652, 26179740, 138506965, 23321168, 34099829, 39663821, 71500726, 29846511, 10251915, 303183550, 28654178, 49073427, 26791723, 99864472, 23136344, 26201252, 143590005, 20846534, 146610478, 15228439, 1664932, 112610509, 19222845, 60854711, 5229812, 9904138, 43573138, 265676418, 29524687, 30869059, 22447868, 64410245, 25759007, 19451382, 134518649, 47583747, 145603465, 35164341, 94194490, 43644912, 152283894, 87194852, 75181303, 256508228, 3961520, 14019941, 135279616, 24346444, 11520981, 38333898, 164177590, 17832662, 78707398, 183176331, 4957152, 100861008, 6315096 ], [ 121523626, 22529708, 91521943, 74226993, 114880887, 18999730, 124487828, 24077093, 174706475, 107175633, 151853792, 60970584, 11184496, 13920403, 36634874, 83820465, 76141940, 134271727, 9679756, 29206107, 48046939, 46042705, 33080379, 34088334, 87236638, 2475601, 311684793, 75113613, 4139590, 21147669, 23682946, 25225985, 111944417, 98702510, 10389192, 178371051, 84524209, 13704278, 147831668, 28562941, 25435369, 39668587, 4528959, 124972417, 20220556, 10151165, 166347001, 60565010, 14193971, 26574046, 26014536, 87331021, 78451727, 49755262, 56491206, 10654555, 17234854, 64185138, 14648640, 34069127, 13736690, 22257844, 164243119, 23951579, 25872681, 127449548, 131606927, 12512447, 36603489, 11128502, 65127504, 55148963, 40382748, 60270550, 20588532, 51136416, 60974175, 4232416, 50338537, 1081391, 34174321, 22804770, 59043266, 97706088, 88874459, 23136344, 6453458, 3295953, 52984891, 60835852, 35371620, 52875576, 23401976, 19222845, 15727200, 44916132, 49803073, 14243366, 142714957, 32328827, 6496455, 9498304, 22173503, 15381447, 22397790, 4696912, 47583747, 11886572, 35164341, 39156272, 31216632, 157590532, 93898343, 217816177, 88138403, 13405147, 14187457, 31934816, 41694045, 68830636, 7805551, 67476139, 1119363, 49853033, 72939730, 49757387, 54663602, 1406978 ], [ 63235793, 25627318, 21173329, 75407385, 136245013, 7829423, 81223123, 230690594, 456080289, 168223804, 99552420, 60970584, 71615469, 235669592, 13372831, 222277093, 206066800, 1320109, 108875799, 9669519, 29984501, 314436128, 54507159, 130151910, 71670348, 79675266, 16674892, 46274253, 4139590, 21147669, 32318278, 14104276, 38028065, 123689752, 9919743, 107832548, 52868871, 68616002, 70368511, 57103513, 53617443, 13424672, 63886716, 13484095, 209804142, 90281729, 178269265, 76968667, 104537074, 26574046, 26014536, 87331021, 161036725, 11660676, 98129014, 28754582, 71048351, 49122919, 14648640, 85967173, 199067530, 48287149, 33395442, 48164330, 180005608, 62602145, 110304335, 20876282, 236098211, 11128502, 38846576, 93778652, 14400624, 20826607, 198435522, 29962433, 100297601, 88250247, 50338537, 19249411, 283824684, 97212073, 14834384, 128901016, 228253980, 23974405, 31450107, 97609519, 166609142, 25988485, 119485024, 7492623, 85646829, 217362746, 166471563, 5229812, 113461032, 43184542, 229208209, 40347440, 207472463, 62157837, 64410245, 123570137, 30903813, 5937249, 46887196, 11886572, 35164341, 10207744, 43458299, 141364771, 108892514, 69685019, 5236502, 77874438, 14187457, 4263372, 39902837, 83135938, 69052685, 277962867, 48791520, 35335042, 62547840, 142619239, 54663602, 69354066 ], [ 78766855, 59300341, 761466, 22543064, 90407784, 74252081, 34444996, 2963064, 23217896, 43540580, 119367130, 4810019, 62165692, 42278554, 60931390, 44608379, 40553025, 30524710, 9484705, 12016051, 16841182, 41601143, 45201766, 31924692, 83220892, 3571107, 185464217, 69468173, 44592370, 21147669, 86034316, 25499364, 13192576, 19490018, 51134334, 199867067, 41537325, 49917506, 38507876, 61987849, 80767691, 124550739, 59828207, 14539178, 24894706, 55750092, 10632330, 124994686, 122927825, 25064732, 26014536, 86665551, 31024540, 53958879, 26675367, 86751626, 46567795, 10537101, 11163758, 7323562, 43117440, 764685, 43873508, 57173112, 97777850, 23458859, 77986125, 116873020, 94420609, 10969044, 7620044, 6127111, 2585693, 11856924, 211690891, 51136416, 14307307, 92990750, 42791857, 47797032, 76332171, 14339339, 156285045, 14250187, 26850711, 12526600, 31450107, 116548344, 168357108, 73828439, 23194027, 13331112, 20417441, 19222845, 26139271, 5232805, 38176202, 43573138, 7140163, 59239565, 79162137, 90709337, 9023836, 122394278, 100601120, 2904225, 43767513, 35111077, 35164341, 7602098, 31533926, 18245555, 34900327, 43438306, 66486379, 28355795, 60428375, 29735987, 47671738, 31463377, 158230392, 86274092, 6464083, 78707398, 26256355, 102896638, 123744615, 20795764 ], [ 4944275, 28304292, 9024081, 84825123, 25910147, 7829423, 35395816, 136394754, 47561767, 27453959, 121915747, 20146360, 24388200, 43984272, 33521235, 63370014, 7619152, 8106186, 51287163, 12230160, 52289577, 46042705, 54507159, 34088334, 15072477, 18695287, 17402290, 20904728, 4139590, 21147669, 88277132, 165610688, 62255682, 58493542, 51134334, 45112119, 62133482, 37381945, 105634266, 35826551, 122282160, 39668587, 46177047, 61714601, 169283467, 111890855, 14701821, 22918316, 358876111, 89776948, 26014536, 86665551, 97251029, 23472113, 30185793, 34775875, 62931609, 150389399, 23757037, 34379776, 896934, 64917665, 66691413, 34925495, 745699, 8767110, 40681939, 41196353, 56657014, 11128502, 65080746, 57092899, 111539325, 20330484, 67091866, 49925142, 11894363, 14250812, 16528031, 19249411, 56454059, 176068714, 105240896, 28586826, 26850711, 23136344, 8917771, 62683917, 35901352, 21258094, 19715812, 10150319, 8702321, 19222845, 30221159, 37905233, 9904138, 15323433, 57507039, 9350717, 141799632, 5069508, 64410245, 3588026, 18629613, 54258168, 19570961, 148944190, 45380486, 36831880, 134330898, 182734847, 34900327, 32124993, 5902982, 13405147, 80522926, 63181072, 22244656, 17994755, 10094996, 25533915, 17832662, 49853033, 26256355, 15123677, 54237163, 52993519 ], [ 63235793, 56680051, 91521943, 34582942, 33277103, 7829423, 54149084, 121042793, 149795721, 150264207, 92791342, 74243328, 71615469, 158834911, 110893269, 95815883, 182419177, 10053466, 120313885, 138673085, 90803632, 156326708, 54507159, 242121509, 28775804, 2475601, 2951290, 9297054, 4139590, 6847388, 216228118, 25225985, 130629805, 125799505, 9919743, 21381525, 277657016, 147986445, 126972975, 109689335, 100449399, 7658704, 71853719, 124972417, 37033709, 1403991, 25188003, 56596407, 8684153, 2414303, 26014536, 87331021, 5217428, 112525460, 19552087, 177120373, 78690747, 10537101, 14648640, 23291828, 3042389, 48287149, 25408148, 48164330, 35286264, 116759225, 23660337, 23991123, 90734652, 11128502, 101058953, 230515144, 104330210, 10208989, 120549852, 9022882, 23737771, 39305381, 13309723, 1081391, 1842598, 100430043, 7386870, 94155543, 140798236, 4804257, 140796810, 38898653, 16318277, 55132850, 191962791, 7492623, 2952376, 19222845, 15272083, 65146730, 110408707, 15323433, 56467509, 70313480, 146963034, 9498304, 64410245, 28107, 21421623, 4696912, 17932600, 43313435, 11261624, 39156272, 31216632, 142510695, 108892514, 259420844, 257335737, 26406378, 14187457, 9219250, 52303884, 82736259, 203593678, 67476139, 67065931, 85565421, 71180557, 142619239, 35388483, 10498243 ], [ 283103857, 75324996, 43139594, 115698374, 25910147, 201882241, 87989095, 30157976, 11338106, 14650532, 42522121, 74243328, 71615469, 69439694, 102034964, 106323088, 20561983, 148363555, 5312691, 128972561, 141348506, 46042705, 48133062, 34088334, 45738921, 2475601, 194936701, 1304284, 67213595, 21147669, 142053415, 17113098, 92420806, 125799505, 9919743, 6019223, 114686530, 14867629, 163467739, 161168419, 83303806, 39668587, 35075284, 124972417, 56922905, 72093546, 21595824, 5528881, 146837829, 75118583, 26014536, 38680821, 120204035, 65168917, 17366602, 28456575, 179471924, 6044690, 14648640, 95076704, 43935746, 76690775, 164243119, 23951579, 28367226, 23458859, 26030485, 85464298, 30257320, 11128502, 24912773, 104875807, 195213509, 235022362, 152785360, 76258876, 94690866, 63292629, 95255415, 21767430, 49042019, 48006655, 84254983, 26791723, 12184028, 23136344, 71982284, 70540554, 35901352, 73828439, 271029445, 7492623, 28885311, 19222845, 43446438, 5229812, 19815581, 43573138, 34881830, 32328827, 113821545, 16885106, 52840328, 33373381, 18629613, 42055225, 41312565, 291330493, 35164341, 48503409, 8198026, 152283894, 22799841, 193538856, 237297449, 14610931, 14187457, 49855642, 39902837, 94962878, 10094996, 19352194, 49654188, 4241466, 11770568, 4746681, 275393697, 8385885 ], [ 82816544, 83328899, 34849631, 157120283, 1773737, 753563, 54149084, 55032171, 30376922, 16677736, 23414985, 69354034, 16948464, 34041558, 57273016, 21034128, 11412837, 10053466, 51287163, 9669519, 1887686, 28666269, 7097485, 34088334, 21710163, 455495, 84211308, 42247083, 85673659, 21147669, 34202976, 29057547, 45795930, 120120523, 9919743, 22598478, 89979232, 141199477, 56429932, 50595135, 52313730, 17280545, 89956363, 124972417, 88335581, 46861790, 25188003, 14156480, 130380885, 26574046, 7124522, 15202706, 184495468, 11660676, 64904060, 86751626, 12797509, 8221730, 14648640, 23291828, 42308253, 46481541, 25408148, 48164330, 49911315, 23458859, 22249452, 12512447, 23333317, 11128502, 4935338, 104722467, 111230817, 10208989, 33384915, 235534868, 9009455, 62078491, 56535720, 36371773, 45404420, 19618925, 99387811, 8889224, 78157342, 23136344, 26321502, 53304934, 74453127, 55513661, 90594670, 7492623, 2952376, 19222845, 15727200, 19719059, 9904138, 3240417, 8006431, 30702354, 31953348, 19592460, 54855577, 163475617, 165357810, 58271000, 109660734, 11886572, 35164341, 81933308, 5592993, 152283894, 34900327, 13069568, 33727703, 71561743, 14187457, 135279616, 10387097, 11442245, 47211406, 54314133, 164956423, 35781802, 12114064, 2330188, 39011870, 20795764 ], [ 180265645, 83328899, 91521943, 71795229, 25910147, 7829423, 49951395, 278551602, 220298341, 14650532, 70880049, 44476165, 71615469, 59370111, 26929057, 41196134, 93967487, 4449218, 74345795, 89699758, 189718185, 46042705, 37493, 29716214, 13417045, 18360330, 202725313, 18140653, 67213595, 5485182, 90105736, 252392546, 28190702, 168762064, 9919743, 180270267, 132005669, 39172136, 209717285, 136808508, 19096358, 39668587, 49905013, 101421869, 239972320, 171028006, 84757146, 154137565, 99676746, 78224680, 78533152, 15798626, 162757285, 66107608, 98129014, 16244299, 13335444, 55618475, 14648640, 16330527, 4267322, 163526627, 166247101, 48164330, 92585533, 22852793, 59985946, 155222033, 40418232, 11128502, 93913472, 73698525, 59047738, 83174504, 2603040, 25585962, 350294956, 50666596, 95255415, 6828011, 112419989, 46523739, 59275506, 26791723, 210861335, 23082340, 143989921, 9366299, 14948307, 22114532, 212069653, 7492623, 8266388, 19222845, 119176544, 32384170, 44055985, 43573138, 32120678, 32328827, 189431138, 79870237, 64410245, 42464866, 18629613, 2904225, 9661115, 55990207, 35164341, 139562936, 19506101, 152283894, 62702179, 6548385, 62901504, 77874438, 14187457, 97930457, 162226585, 94962878, 10094996, 67476139, 142662399, 20083181, 120698502, 74296907, 166599077, 2347373 ], [ 6925873, 75324996, 91521943, 74511019, 25910147, 753563, 87989095, 48980117, 47429823, 71013518, 42522121, 55136879, 22757081, 29888653, 57273016, 73938883, 18518610, 126523694, 2576077, 56392526, 141348506, 46042705, 54507159, 227565157, 8151623, 47168326, 32843036, 1304284, 4139590, 9811063, 145809542, 30479417, 103803186, 171643128, 9919743, 22598478, 15948992, 43435403, 86884185, 26723723, 36108440, 26317362, 98787651, 124972417, 141293504, 10151165, 46963576, 5528881, 144185530, 52133795, 26014536, 86665551, 12789386, 28863318, 17366602, 13802806, 26847428, 46697041, 14648640, 40026291, 43935746, 136345621, 164243119, 23951579, 180005608, 23458859, 107754139, 273497751, 50326426, 11128502, 22704879, 30933985, 26179740, 3573302, 105449809, 76266573, 2218418, 39305381, 12649017, 6828011, 76332171, 11841208, 24766906, 337975419, 12184028, 23974405, 225473362, 80449486, 16504885, 55132850, 156400661, 2933573, 8702321, 19222845, 66555186, 44916132, 32358027, 15323433, 32120678, 32328827, 52137348, 22447868, 22173503, 33373381, 18629613, 42055225, 19570961, 185295986, 12933874, 28840007, 49678368, 27661241, 103804387, 110223956, 41831832, 71561743, 14187457, 58096516, 24346444, 51565532, 7805551, 108217939, 17832662, 78707398, 74621554, 86728952, 54663602, 35309933 ], [ 9653816, 28287817, 9024081, 7150769, 41832463, 19122126, 138825044, 10728620, 11338106, 182093476, 33741451, 11452889, 54828680, 57725253, 39776583, 21736456, 26127475, 1530982, 18988082, 22331358, 12504639, 23982783, 52292132, 16439853, 15072477, 43176167, 7868675, 46274253, 14215376, 9811063, 108267654, 11282436, 33744510, 87829367, 22427269, 15893949, 48222143, 48303051, 23580742, 15027481, 68285636, 17280545, 65041254, 70341664, 7150152, 5564078, 46963576, 23503598, 79187697, 52133795, 26014536, 10030682, 17070917, 49755262, 18377293, 13802806, 55170009, 6045037, 37915917, 28634295, 64124675, 92915818, 90223625, 7969807, 65552140, 8956649, 57995239, 20876282, 53162764, 17423479, 38793192, 134418637, 26179740, 711035, 735929, 4841022, 48982349, 14217630, 44841138, 3400982, 18134146, 19213264, 24766906, 45077948, 8841244, 35296671, 102608302, 34969278, 26360257, 19593982, 75955374, 7561000, 23401976, 19222845, 25784813, 14440602, 1851798, 43573138, 34447883, 321143, 40915217, 1275801, 22173503, 65451011, 53430459, 8410238, 11881056, 182394765, 106621987, 48503409, 8198026, 38166653, 27123554, 13069568, 48578450, 77874438, 38995935, 43063736, 24346444, 145988364, 7805551, 38005380, 17832662, 27614505, 54909120, 4746681, 39011870, 8385885 ], [ 90265107, 2112392, 91521943, 285244772, 136245013, 7829423, 52638771, 19830875, 11568794, 160907116, 11836062, 64039569, 84520594, 190290853, 84375885, 4605955, 206066800, 78097557, 5312691, 123495781, 16705778, 11649343, 19952011, 34088334, 150938770, 47168326, 16674892, 37859035, 4139590, 21147669, 32318278, 48525486, 111944417, 19490018, 37509019, 107832548, 140274632, 57957112, 163467739, 36700884, 42147465, 10259202, 58433034, 70341664, 56922905, 8935, 46963576, 33815327, 38244609, 85786520, 26014536, 4849524, 51243350, 111117226, 74241463, 30363827, 75770217, 6044690, 11163758, 79400751, 38748658, 24647788, 24636218, 7969807, 28367226, 152204219, 21701992, 12512447, 94420609, 11128502, 40120666, 134418637, 88354394, 12467909, 29666591, 43492965, 142157452, 64227072, 52479638, 12573529, 118127614, 30477930, 24766906, 11030137, 12184028, 23136344, 350362018, 52281886, 111240981, 25591598, 28854300, 74765455, 168747247, 19222845, 15727200, 5229812, 26063013, 43573138, 34881830, 72888543, 83490460, 180919265, 47910047, 28666453, 58610343, 42055225, 14934828, 21571738, 11775402, 63829230, 19902972, 62215388, 72306659, 132767123, 114745448, 22788190, 38995935, 9219250, 39902837, 7574241, 43942944, 81292165, 6464083, 30294394, 102807686, 35560267, 13486249, 85240760 ], [ 155487815, 13262061, 9024081, 51594079, 80095670, 49446834, 157367015, 10728620, 47429823, 71293704, 13744143, 34610107, 43548000, 21677042, 66027852, 24581982, 76141940, 44778422, 5312691, 91072366, 69861726, 46042705, 8824962, 34088334, 15072477, 47168326, 70439458, 50283966, 36979083, 9811063, 80625768, 19256234, 130629805, 90961544, 102686250, 107832548, 16464885, 90589342, 23580742, 1474409, 108687630, 7658704, 49905013, 41882169, 141293504, 10151165, 3890878, 6128825, 106295078, 5935224, 26014536, 10030682, 117148898, 49755262, 58933589, 13802806, 31345457, 6044690, 149323036, 16641398, 15452109, 36211929, 57834581, 15008321, 28367226, 8767110, 118868889, 25794162, 136008509, 11128502, 3837077, 154840611, 26179740, 132703814, 105449809, 88298688, 75252481, 31134821, 16528031, 26225179, 45404420, 3326017, 24766906, 17277866, 12184028, 23136344, 7112617, 9592218, 36523646, 73828439, 97068254, 28532894, 23401976, 19222845, 23102123, 5229812, 9904138, 43573138, 5316044, 9350717, 64683569, 22447868, 22173503, 2842731, 165357810, 35033547, 47583747, 63785001, 24247887, 10655704, 14870913, 61523681, 8928103, 87957829, 144199753, 77874438, 38995935, 57503618, 24346444, 10524672, 7805551, 14258517, 87110961, 10815772, 81256842, 14470948, 132930395, 59881781 ], [ 42188445, 13342962, 40672129, 7150769, 136245013, 7829423, 182108133, 10728620, 47429823, 130105926, 14369936, 74243328, 31587986, 13920403, 59603933, 508383, 22370454, 10053466, 16111413, 2174876, 162706482, 46042705, 54507159, 5971639, 15072477, 47168326, 56816461, 2539870, 85673659, 21147669, 48350740, 19256234, 33588870, 528225, 9919743, 15006975, 94016595, 2771111, 23580742, 24905944, 44288010, 9182292, 98787651, 11844658, 75406942, 395410, 3890878, 11190101, 28791263, 59082130, 15383545, 10030682, 3231374, 211551143, 74241463, 29333920, 42224098, 6045037, 14648640, 149653581, 64474081, 26250097, 104240895, 7969807, 2663878, 152204219, 110304335, 20876282, 36603489, 11128502, 53217957, 31668833, 79314695, 11171053, 26501696, 116247650, 142157452, 4232416, 52479638, 4632482, 78403680, 35924575, 24766906, 19005592, 54194653, 23136344, 9585615, 52281886, 52572853, 33872850, 119485024, 7492623, 2224546, 19222845, 19964325, 5229812, 33930366, 14280183, 84581278, 32328827, 75257918, 61461740, 43217851, 15381447, 39990073, 26796984, 50663788, 27811467, 73979936, 94194490, 41670577, 66953849, 15081699, 22056010, 153319542, 5008904, 14187457, 2726960, 39902837, 20672213, 120699742, 148874759, 37426293, 39724630, 23136354, 44785241, 39011870, 88366879 ], [ 73278332, 28287817, 40672129, 7150769, 89648487, 88259316, 67601439, 10728620, 47429823, 28915564, 119367130, 74243328, 3570465, 43984272, 136458349, 21034128, 68076701, 44778422, 23948701, 42877873, 6446714, 118009155, 52292132, 5971639, 15072477, 17873, 7868675, 25215981, 14215376, 21147669, 34202976, 9444588, 93886059, 19490018, 110910948, 18914570, 16958417, 165346493, 9985536, 36700884, 52142458, 7658704, 88209543, 38433542, 45109329, 116921833, 46963576, 22641655, 17323077, 85786520, 26014536, 10030682, 95475318, 109565665, 74241463, 86751626, 20880505, 8221730, 38478205, 37535908, 6652893, 36211929, 33395442, 18645977, 37192174, 4770883, 131606927, 38589562, 52611117, 6077036, 44035030, 104722467, 79314695, 711035, 360379072, 24883461, 142157452, 71500726, 145075117, 26225179, 45404420, 94236501, 24766906, 27200060, 43158043, 23136344, 165915434, 143590005, 111240981, 32466051, 28854300, 253352069, 29804875, 19222845, 111880864, 91311068, 1851798, 14280183, 70702622, 30702354, 49829650, 15546031, 48659214, 2842731, 165357810, 90330258, 208927099, 43092582, 34221970, 39156272, 31533926, 61523681, 17980645, 41276921, 64547, 24403516, 20459127, 57503618, 83706078, 11520981, 123366204, 67476139, 6464083, 21817923, 11031849, 83112910, 60603445, 88384837 ], [ 5251627, 48882912, 10590528, 31174142, 102434796, 24217135, 23728036, 130453420, 26944537, 22783534, 11836062, 74243328, 7434452, 75666424, 136458349, 19976810, 18518610, 78097557, 27552617, 56392526, 69861726, 37814712, 45201766, 34088334, 7756224, 21578825, 25113008, 6174396, 1777641, 9811063, 113250586, 48525486, 21899685, 19490018, 3490944, 22598478, 89979232, 131624003, 9985536, 37153598, 12800315, 5447914, 16118041, 124972417, 7150152, 10151165, 33585982, 28538266, 116687584, 56346379, 24494642, 78162373, 12789386, 552543, 32722070, 13802806, 31052830, 34182110, 14648640, 6610976, 15452109, 157094857, 28616697, 48164330, 45707552, 4770883, 6973459, 20876282, 50326426, 11128502, 19094705, 19106250, 26179740, 12467909, 1624088, 89893978, 26633138, 31134821, 30783858, 26225179, 11826452, 77507554, 139570173, 45077948, 33741784, 572220, 19146395, 26751192, 47087107, 41985815, 28854300, 5193768, 13389801, 19222845, 51141764, 76189656, 47946239, 43573138, 97770868, 33813447, 80789424, 22447868, 15957270, 5488509, 108013928, 1543963, 2476592, 43313435, 7958284, 10655704, 5174187, 21710698, 1250663, 32124993, 50989091, 13721683, 14187457, 5300437, 24346444, 5215278, 7805551, 67476139, 6464083, 30435074, 44236451, 67233881, 32505446, 14929507 ], [ 182500008, 111990303, 113505080, 52262630, 19861016, 196144776, 82241178, 130453420, 200164011, 237788802, 151853792, 74243328, 140032733, 75666424, 269794071, 2978913, 9142070, 113018586, 31519399, 56392526, 311339363, 179717430, 8496046, 421986115, 96418775, 420475029, 349706795, 224234, 15008200, 9811063, 92595465, 738114764, 161266963, 91141172, 284320132, 22598478, 31600162, 94981046, 240537181, 90215954, 202525635, 201516171, 262836346, 124972417, 251836186, 181581527, 147152403, 29060651, 67671026, 140828493, 26014536, 87331021, 111822348, 693296490, 14227584, 13802806, 179471924, 49122919, 14648640, 17090967, 363437380, 308958043, 422034945, 48164330, 116251828, 8767110, 294856643, 51598149, 321524069, 11128502, 22704879, 34200373, 26179740, 169736832, 144697420, 48694664, 93634146, 179264650, 95255415, 369753878, 80116042, 332267222, 105240896, 124219286, 56872092, 23974405, 102607655, 54523047, 36523646, 73828439, 303475624, 371408202, 130718512, 108569573, 264493512, 206468249, 15522368, 25497847, 193785225, 687179567, 99076151, 22447868, 64410245, 132992065, 77790835, 18769979, 142324235, 291330493, 35164341, 147130091, 353038682, 202764009, 338717799, 82044799, 184373931, 77874438, 14187457, 332589472, 656225, 22717768, 271186117, 100173499, 280281196, 78707398, 62547840, 318181189, 38658921, 158189237 ], [ 181525899, 83328899, 40672129, 218893519, 125013236, 42600000, 163186445, 270301331, 47429823, 31902685, 151853792, 55136879, 272546140, 61808359, 50053741, 206620174, 35635354, 1320109, 29159332, 107071972, 173497483, 45003264, 4661694, 34088334, 101437440, 47168326, 62365439, 46274253, 4139590, 92418250, 49192785, 12143737, 130629805, 187451739, 44778343, 180270267, 140274632, 90589342, 501551301, 26723723, 36108440, 10259202, 49905013, 5421630, 141293504, 8738751, 46963576, 145062040, 331134396, 223778508, 434200406, 10030682, 44189640, 160133482, 74241463, 109120229, 80458134, 71019915, 14648640, 279690392, 4435304, 163526627, 88953502, 36769191, 184715893, 94875793, 82749411, 20876282, 120193397, 11128502, 106101225, 25616976, 73522015, 60270550, 70103268, 99667754, 142157452, 38823627, 76316761, 19249411, 38633454, 156045941, 24766906, 273418731, 180724439, 23136344, 120403440, 143590005, 52984891, 31631278, 307677094, 114032897, 91294462, 19222845, 60854711, 289159335, 113461032, 43573138, 437857912, 32328827, 265012392, 79870237, 64410245, 114835017, 29603894, 74392879, 160122026, 291330493, 35164341, 63311511, 49678368, 66633566, 110012260, 156407033, 15882741, 37966319, 14187457, 85245902, 45709122, 7574241, 153990004, 19332191, 85358323, 78707398, 333147, 208729519, 54663602, 28598678 ], [ 63235793, 22529708, 40672129, 144485063, 72680507, 51240310, 29738778, 24139189, 31155263, 16677736, 4405528, 74243328, 8799657, 5734355, 14676184, 44424876, 20238551, 44778422, 51287163, 30878787, 155369916, 41789018, 48133062, 30265834, 1830157, 14144875, 36571946, 8874972, 4139590, 21147669, 2500731, 30479417, 130629805, 2663105, 9919743, 47134803, 37734786, 52373374, 10134326, 109689335, 77659118, 39668587, 66145189, 124972417, 7150152, 6676824, 22487531, 14156480, 58222733, 45307850, 19779246, 10030682, 51243350, 11660676, 6546067, 28456575, 80261876, 7865970, 11163758, 77509449, 3042389, 48287149, 38504136, 48164330, 83584128, 177791293, 63633085, 3934247, 38594732, 11128502, 140177897, 36992856, 7862580, 21303599, 20588532, 176312373, 15179998, 40748959, 29617518, 12760620, 2886570, 92393044, 40525522, 17277866, 32908317, 23974405, 73515714, 114696070, 16636870, 73828439, 1325224, 7492623, 29804875, 19222845, 15272083, 44430424, 9904138, 7394552, 91533590, 29595857, 146757096, 5644033, 13704708, 28107, 51408379, 5937249, 43288593, 43313435, 18753730, 20602581, 320769384, 24483515, 34900327, 75305866, 163229229, 55557528, 14187457, 9219250, 5759422, 11520981, 51613150, 67476139, 45672793, 4241466, 127778075, 4957152, 32965490, 28172244 ], [ 6925873, 37182334, 21330488, 223560090, 1259187, 49829016, 81223123, 117250155, 47429823, 69172837, 102516458, 55136879, 71615469, 39175709, 15046430, 53775700, 98507634, 1320109, 34900744, 6868206, 17088587, 174709220, 54507159, 34088334, 4836413, 47168326, 202725313, 87362633, 4139590, 21147669, 50069238, 51657916, 10956107, 182870445, 9919743, 73972715, 85660278, 50210833, 251889060, 21528292, 27851172, 77763628, 49905013, 36360560, 133202078, 126088946, 46963576, 1337237, 40487870, 215512566, 26014536, 105897968, 17985786, 105666796, 54058766, 124552902, 163969303, 71019915, 11163758, 79405638, 180145586, 37773497, 33395442, 208369184, 38401790, 213830117, 63633085, 146382436, 360335426, 11128502, 26854841, 164131328, 144387996, 60270550, 20588532, 41768460, 142157452, 66061562, 44841138, 19249411, 95124225, 51068483, 24766906, 169005643, 74977431, 23136344, 45615842, 13271451, 260709674, 41232400, 19715812, 7492623, 8702321, 162179577, 250888844, 5232805, 10118371, 15323433, 366575448, 161131399, 37460249, 79870237, 46124803, 61867534, 31826721, 246766272, 52774061, 194460706, 35164341, 108142478, 49226445, 152283894, 108892514, 164839428, 78196747, 71561743, 36242838, 140035638, 65373577, 83135938, 233620983, 67476139, 6566276, 78707398, 74621554, 1832243, 54663602, 145344034 ], [ 61560207, 57882309, 761466, 14325490, 122064825, 9835151, 34444996, 41655514, 119218474, 20633826, 42522121, 74243328, 8799657, 24346371, 57273016, 41070044, 16975223, 72198718, 102571, 14563234, 29984501, 78296034, 5636301, 34088334, 21710163, 46559750, 46545743, 13599704, 4139590, 9811063, 14630227, 73304762, 38842286, 70631717, 45789018, 22598478, 19940699, 50523407, 65946066, 117654429, 11081450, 115115108, 89956363, 1120881, 40028627, 92945041, 22487531, 20604721, 82860218, 38099873, 26014536, 85965010, 96353757, 67955405, 70038896, 13802806, 120841711, 7865970, 14648640, 38389882, 70638446, 51409981, 33395442, 48164330, 72999968, 129915462, 6973459, 20876282, 149700035, 11128502, 12865046, 4126232, 26179740, 60270550, 20588532, 83380024, 58758370, 11722770, 29617518, 19249411, 11279915, 14449854, 86656190, 43856395, 12184028, 23136344, 9650165, 45774962, 74453127, 10208794, 100972722, 51522268, 82716240, 16402299, 15272083, 6854191, 88626957, 43573138, 43259577, 118518227, 90727368, 18668538, 6110765, 132992065, 72897046, 42055225, 19570961, 56759152, 26093144, 61441019, 31533926, 58084295, 50141153, 29386763, 73073455, 74931875, 3207842, 52079291, 24346444, 11520981, 52779918, 52548562, 3316132, 23882781, 7276984, 45892593, 13486249, 82023210 ], [ 6925873, 83328899, 14916627, 4472875, 33277103, 7829423, 82241178, 24077093, 147420973, 6524617, 134999994, 74243328, 33167983, 13920403, 50053741, 185523082, 45556654, 68281884, 66353176, 70967773, 96953758, 46042705, 48133062, 34088334, 18345311, 130524507, 22853199, 2566108, 4139590, 9811063, 71533032, 17945446, 130629805, 84314686, 117283787, 149559773, 48222143, 44864145, 84598180, 37547910, 48325507, 19494935, 49641425, 8952138, 239972320, 10151165, 1657777, 82196489, 49456256, 85786520, 9640565, 17067399, 78451727, 28922729, 14478070, 10654555, 177760154, 153935884, 6193999, 3767974, 64124675, 163526627, 25865662, 48164330, 8488707, 8767110, 9901112, 57702952, 51700526, 11128502, 168519101, 41029784, 22043177, 60270550, 59572844, 9743007, 70341169, 92990750, 95255415, 7071017, 75041106, 99339, 7790692, 14909818, 44399837, 8072599, 6180455, 45723755, 16187715, 73828439, 180864637, 2933573, 8702321, 19222845, 60854711, 28353269, 113461032, 15323433, 141747152, 3962925, 37466881, 22447868, 22173503, 15381447, 76955315, 67723193, 144230593, 39825510, 35164341, 13585797, 31533926, 66698845, 49013857, 160316755, 44866305, 2273975, 14187457, 54359416, 24346444, 83135938, 7805551, 67476139, 142662399, 20476368, 3881236, 72360209, 33560528, 16651100 ], [ 31298998, 38167608, 40672129, 14325490, 18810581, 88044602, 24327368, 41655514, 25044537, 57359663, 33741451, 17470031, 25367037, 22428411, 57273016, 79953024, 36090254, 148363555, 7011872, 28941804, 69861726, 46042705, 48133062, 34088334, 5268798, 11612650, 15509095, 200065757, 4139590, 9811063, 2624770, 19256234, 88527179, 11538469, 22427269, 22598478, 140274632, 49917506, 65946066, 37547910, 48325507, 17280545, 49905013, 41882169, 26152465, 10151165, 3890878, 33027000, 7617318, 52133795, 2466315, 10030682, 130527277, 13554292, 17366602, 10654555, 87782041, 71019915, 14648640, 31897130, 33514484, 119049155, 44960964, 48164330, 83383625, 32473621, 55101463, 23022725, 63046026, 11128502, 33464021, 56799848, 26179740, 12467909, 7722635, 51136416, 75252481, 7512679, 16528031, 1236333, 76332171, 66106143, 24766906, 353621, 48897944, 23136344, 31462174, 34766411, 4808035, 57914762, 22115449, 15214647, 23401976, 6494163, 72844861, 5232805, 18605163, 43573138, 8006431, 3962925, 113821545, 22447868, 22173503, 36786239, 12240544, 150049881, 51125578, 2946257, 7958284, 39156272, 31533926, 57446796, 63355236, 13069568, 154271474, 77874438, 14187457, 54359416, 24346444, 10524672, 7805551, 7595001, 6464083, 78707398, 41789019, 4746681, 54663602, 79081622 ], [ 7735612, 83328899, 40672129, 34946926, 40924872, 4068164, 138825044, 24077093, 47429823, 131453404, 79971101, 38819351, 33167983, 13920403, 14714035, 185573172, 98507634, 34503996, 55900698, 138673085, 130716369, 111680647, 52292132, 65539495, 21710163, 47168326, 17558543, 18140653, 36979083, 9811063, 90105736, 4276608, 40351150, 51458735, 9919743, 127662907, 46427021, 41214809, 11374449, 36700884, 10569261, 202498242, 98787651, 744442, 141293504, 92351316, 46963576, 2207446, 79187697, 108831726, 24144608, 10030682, 5217428, 28922729, 74241463, 2284701, 64388130, 221655950, 14648640, 61634802, 53523994, 58829477, 44960964, 48164330, 18108713, 11988064, 16163808, 116873020, 76545038, 11128502, 81048222, 220884734, 26179740, 14664792, 27303075, 76258876, 4721807, 90102240, 13309723, 1081391, 142242531, 48006655, 24766906, 17277866, 108221850, 17620249, 47872803, 134674203, 69036259, 221516429, 25901517, 7492623, 80105262, 19222845, 31806693, 75897377, 5674697, 5507501, 27524355, 3962925, 14369341, 9498304, 48659214, 15381447, 98532729, 4696912, 87283828, 6373325, 138571252, 48503409, 8198026, 96419578, 102819680, 15844133, 27020814, 77874438, 14187457, 9219250, 24346444, 94962878, 101036981, 23424037, 25147381, 53274805, 97987349, 21819546, 125462336, 82023210 ], [ 161162372, 13262061, 53348244, 159737294, 97184363, 7829423, 34444996, 160607, 113707122, 58395662, 19436251, 74243328, 71615469, 76246576, 12258353, 130913996, 35635354, 1320109, 76057759, 131129715, 29356258, 29555188, 45201766, 117605892, 101437440, 40193786, 190873426, 31043805, 4139590, 21147669, 86034316, 70712698, 1745845, 19490018, 9919743, 221479965, 15727389, 81995761, 25147565, 109689335, 49850289, 6511714, 98787651, 119511733, 15239942, 149376364, 107408428, 172250565, 84387194, 56346379, 26014536, 87331021, 161036725, 52772735, 98129014, 77085873, 179471924, 84306054, 8534908, 85967173, 16011930, 764685, 44153828, 35699983, 4695700, 19904271, 107332431, 20876282, 94420609, 11128502, 59252576, 177003822, 57961183, 12467909, 137897006, 110402857, 15179998, 25369199, 76316761, 19249411, 72730439, 269799435, 81937005, 23507974, 75852891, 53345675, 31450107, 63306276, 94042713, 73828439, 28854300, 7492623, 17049686, 19222845, 260037540, 5232805, 113461032, 43573138, 22317967, 13411347, 6496455, 371454928, 64410245, 154933537, 130126005, 67723193, 38484741, 43313435, 2458123, 170075653, 2743013, 152283894, 108892514, 3000253, 144199753, 26394224, 60428375, 9219250, 131403842, 16782351, 7440492, 25521051, 6464083, 25327513, 48539683, 102896638, 54663602, 41313697 ], [ 91375704, 22529708, 91521943, 19024060, 25910147, 95729574, 74292461, 10728620, 47429823, 43240855, 111594686, 17470031, 7668629, 13920403, 12258353, 69497626, 7619152, 44778422, 7011872, 28941804, 122659165, 83754180, 52292132, 34088334, 21412844, 47168326, 17558543, 46274253, 19903224, 9811063, 90105736, 7686595, 24847453, 528225, 62623214, 31685849, 62716054, 57957112, 23580742, 36700884, 139459555, 74514401, 49905013, 22668122, 1917425, 10151165, 46963576, 33027000, 47620357, 52133795, 26014536, 87331021, 39235449, 28863318, 31458084, 13802806, 179471924, 46697041, 14648640, 7096110, 75983765, 146962618, 166247101, 4886012, 758187, 23458859, 101831917, 855406, 136008579, 11128502, 19567076, 6038789, 26179740, 60676671, 16237780, 145886724, 142157452, 37893454, 10845223, 75154831, 1253975, 156045941, 24766906, 99854249, 5486232, 23136344, 143989921, 84534261, 45167366, 30310893, 1514068, 11521135, 23401976, 12887315, 26139271, 5229812, 9904138, 35707345, 110766261, 8258553, 66223400, 6227883, 22173503, 15381447, 18629613, 2904225, 47583747, 10682196, 12821873, 3674981, 31533926, 156826997, 103804387, 41701668, 157498963, 77874438, 11088054, 9219250, 24346444, 2957551, 7805551, 207669906, 18817578, 57850110, 97987349, 38869357, 73978564, 20220906 ], [ 81365832, 13262061, 33386280, 48755134, 30086569, 7829423, 157367015, 10728620, 11338106, 41997364, 975437, 38819351, 71615469, 11534062, 12258353, 42286843, 18518610, 19370724, 42310155, 60232861, 97304613, 34238619, 54507159, 14830433, 8151623, 23604150, 17511594, 18660679, 36979083, 9811063, 46945920, 4276608, 92420806, 30705108, 9919743, 99389280, 75658524, 58492398, 23103664, 26723723, 36108440, 74514401, 53423190, 42322205, 20220556, 181581527, 16984205, 85921146, 84387194, 52982004, 26014536, 48322024, 12789386, 67955405, 5206059, 13802806, 149928177, 6044690, 60718034, 116156088, 52729361, 56980432, 5795006, 32744536, 28367226, 8767110, 70797506, 21907393, 50326426, 11128502, 65127504, 104722467, 26179740, 1839938, 124059727, 116247650, 3875611, 37893454, 10845223, 26225179, 34174321, 52011597, 24766906, 34098871, 228060825, 23136344, 235072420, 121374434, 33831785, 73828439, 25901517, 7492623, 8702321, 19222845, 153826788, 5232805, 120488746, 15323433, 41613335, 34787540, 6496455, 22447868, 57685915, 18143679, 19937624, 115582686, 19570961, 43313435, 2458123, 93962934, 31533926, 35473449, 108892514, 15844133, 75790376, 162911, 221657, 9219250, 24346444, 58670342, 223485423, 96268656, 61771202, 25327513, 178107413, 98080016, 117351224, 8385885 ], [ 58136843, 97067234, 54572132, 52262630, 136245013, 88259316, 108092179, 130453420, 54905576, 212447531, 151853792, 74243328, 33167983, 59370111, 404779747, 33600740, 238630503, 34503996, 51287163, 21558226, 7083997, 96709075, 54507159, 34088334, 101437440, 238365330, 16674892, 46274253, 15008200, 9811063, 32318278, 30479417, 14560493, 615389940, 293059047, 127662907, 85660278, 94981046, 240537181, 37153598, 48325507, 124550739, 49641425, 92434949, 239972320, 131691405, 20005913, 58530611, 28791263, 85786520, 115553556, 79225236, 11455199, 243158407, 17366602, 13802806, 67533287, 89415184, 14648640, 16330527, 416883383, 163526627, 151935532, 48164330, 116251828, 137077539, 16163808, 20876282, 40395617, 11128502, 140177897, 73698525, 26179740, 118429636, 20588532, 9743007, 269369682, 56473661, 95255415, 77441683, 40986634, 253787639, 180760789, 461012010, 75892124, 23136344, 47872803, 143590005, 56124344, 73828439, 76231670, 7458528, 239863127, 19222845, 72844861, 139375032, 81501333, 43573138, 46258970, 229542908, 74867953, 22447868, 64410245, 11329710, 165357810, 246766272, 87283828, 98969980, 35164341, 271096793, 31533926, 125186803, 62702179, 259420844, 27020814, 65502015, 14187457, 54359416, 24346444, 9003037, 3506012, 51136639, 85358323, 78707398, 33747151, 121956066, 227975156, 47173932 ], [ 73278332, 69513721, 40672129, 53684186, 136245013, 7829423, 98350183, 112408125, 9013190, 29853992, 126992149, 1616244, 61308600, 63714770, 76996866, 71809295, 124340353, 115646117, 219631373, 22696440, 12504639, 194393506, 54507159, 34088334, 113363036, 3571107, 67992582, 46833787, 36979083, 9811063, 92691441, 30197428, 5807442, 11538469, 9919743, 22598478, 277657016, 291403896, 16569881, 109689335, 85422202, 7658704, 80885695, 43944279, 1994469, 109770227, 8899107, 36140732, 4656625, 85786520, 195036129, 10030682, 101160338, 130090750, 17366602, 13802806, 19594764, 308416947, 14648640, 99788052, 22719135, 66316249, 43978709, 12293544, 12980648, 88623180, 16163808, 116873020, 40395617, 11128502, 45741989, 128499382, 26179740, 16099353, 99607073, 8928777, 347018491, 8593917, 95255415, 73752409, 16713889, 252869662, 11231871, 94155543, 128009434, 23136344, 62842898, 10662434, 31042122, 73828439, 16960244, 7492623, 33739783, 13411907, 20286424, 75897377, 45218062, 43573138, 67826477, 118259672, 36293313, 22447868, 12279330, 2842731, 125055623, 11591349, 87283828, 43313435, 160775373, 68911876, 30781213, 65918568, 108892514, 51988145, 101683649, 77874438, 14187457, 8305194, 24346444, 34438843, 40479672, 277962867, 42882095, 3053059, 51125858, 18615545, 37911299, 20795764 ], [ 114862213, 97085922, 14916627, 74511019, 35580617, 148945424, 29738778, 7828329, 209098344, 76246874, 151853792, 110292935, 71615469, 13271506, 69605722, 26240917, 18518610, 1320109, 61191946, 128972561, 247893, 57833810, 54507159, 4926532, 8151623, 342507027, 224545812, 46274253, 85673659, 21147669, 127352875, 106312647, 14560493, 202614543, 9919743, 5126574, 43207776, 50419543, 240537181, 37547910, 48325507, 2235960, 26776688, 300073648, 239972320, 10151165, 20005913, 5528881, 106526601, 89121664, 4981553, 87331021, 12789386, 13554292, 19238605, 10654555, 177760154, 57345974, 14648640, 186875839, 115697771, 66703717, 9693615, 42800491, 37868488, 23458859, 110304335, 3934247, 40395617, 55657666, 81048222, 70201563, 22656887, 59467860, 20588532, 76258876, 12473743, 56473661, 33584652, 2184605, 13600253, 48006655, 21677062, 152145799, 27574360, 11379795, 306929931, 34766411, 48669013, 73828439, 95172109, 7492623, 23401976, 19222845, 72844861, 2358364, 45585018, 43573138, 28449032, 81208466, 331110329, 185760851, 22173503, 33373381, 24017597, 24661335, 74355201, 52567822, 35164341, 11862807, 8198026, 125186803, 10367847, 6521479, 101683649, 77874438, 14187457, 135279616, 162226585, 38058334, 7805551, 66074992, 19292847, 5370016, 51125858, 74719192, 96624939, 109688058 ], [ 19805638, 13262061, 40672129, 43872504, 136245013, 7829423, 40798206, 10728620, 22894144, 185719738, 111594686, 39312800, 71615469, 50091355, 57273016, 189744050, 117018443, 21769575, 2576077, 564141, 247893, 57833810, 15394990, 34088334, 21710163, 24738861, 17558543, 7415899, 4139590, 9811063, 90105736, 30479417, 13784895, 19490018, 9919743, 43959521, 66556052, 50419543, 23580742, 29516083, 48325507, 26317362, 98787651, 107106667, 110558147, 2229236, 10632330, 5528881, 79187697, 82772653, 2596899, 10030682, 246096465, 28863318, 74241463, 13802806, 177099767, 130374730, 330344526, 161550105, 64474081, 163526627, 33395442, 63735796, 113542778, 105131949, 16163808, 3800140, 40395617, 11128502, 94932526, 61897468, 26179740, 12467909, 20588532, 116247650, 142157452, 71500726, 4953068, 19249411, 35219218, 81070191, 11231871, 156836487, 32703895, 23136344, 33873916, 100320188, 28965645, 40272716, 28854300, 7492623, 72104238, 13411907, 72844861, 83411743, 9904138, 33673721, 78473753, 30702354, 93888676, 22447868, 24294261, 33373381, 124430955, 83942476, 47583747, 43313435, 7958284, 17299405, 31533926, 125186803, 108328295, 194734734, 101683649, 77874438, 122363455, 9219250, 24346444, 83135938, 51613150, 76350134, 6464083, 12797032, 51125858, 34901037, 13486249, 109688058 ], [ 19805638, 61167770, 40672129, 53684186, 121661637, 7829423, 67752425, 24077093, 47429823, 65059950, 49052728, 55136879, 8799657, 13225133, 7706581, 317542755, 98507634, 44778422, 21363984, 16307101, 12504639, 98765786, 54507159, 27454299, 21710163, 7844174, 173511124, 75995835, 4139590, 21147669, 90105736, 30479417, 27571869, 26711970, 9919743, 11821283, 15948992, 42671267, 84598180, 37547910, 48325507, 7658704, 49905013, 24447404, 24402478, 72681927, 46963576, 5528881, 12272967, 147982748, 6585602, 10030682, 7510828, 109565665, 74241463, 1188044, 68125643, 7865970, 8497200, 209882730, 144405045, 48287149, 38504136, 47980771, 49560518, 8767110, 131606927, 105572524, 58456141, 58574153, 22704879, 128499382, 9399131, 13983628, 20588532, 530850, 142157452, 71500726, 5564859, 19249411, 45404420, 19377587, 24766906, 67433929, 132605470, 23136344, 113576813, 112132347, 9807810, 73828439, 207822577, 7492623, 100685828, 239851689, 20286424, 65146730, 9904138, 9261774, 142714957, 30702354, 40915217, 45959361, 26338059, 2842731, 80779588, 2904225, 136950900, 51932002, 9722769, 85137971, 291490050, 152283894, 18605796, 146385614, 88138403, 77874438, 6292514, 6078967, 93063323, 83135938, 21176941, 67476139, 142662399, 62175089, 14484596, 121956066, 33560528, 69671491 ], [ 133767379, 97085922, 91521943, 65580650, 25910147, 161116741, 81223123, 165728100, 47429823, 71013518, 102060460, 55136879, 162302188, 161709623, 100320827, 366158729, 98507634, 58008113, 34562533, 564141, 29984501, 18862324, 48133062, 34088334, 79409986, 47168326, 30126758, 36072359, 67213595, 21147669, 78481542, 28857644, 111407, 484479418, 36406136, 216034806, 15948992, 90589342, 131021875, 37547910, 48325507, 92862550, 49905013, 101311967, 141293504, 72681927, 46963576, 5528881, 127271481, 215290600, 26014536, 87331021, 64942941, 109565665, 2738498, 228073022, 109339373, 8221730, 39065278, 95076704, 144405045, 163526627, 33395442, 47980771, 122016517, 139221672, 86473655, 234444131, 163030879, 11128502, 96556219, 154143164, 231298792, 102924736, 59572844, 136262848, 60974175, 150131663, 29660403, 35116609, 38633454, 92934686, 24766906, 26791723, 43412957, 8072599, 53873620, 143590005, 48669013, 73828439, 207822577, 15214647, 26591430, 19222845, 63275908, 129491509, 242640728, 22454238, 110766261, 118259672, 265012392, 64147911, 64410245, 33373381, 18629613, 2904225, 160122026, 58570577, 35164341, 242639146, 364340403, 57043443, 22799841, 183972630, 81716102, 77874438, 48719828, 47422727, 87850694, 182220662, 10094996, 23424037, 194374939, 78707398, 60370293, 121956066, 73978564, 158189237 ], [ 73278332, 38466931, 10590528, 23944090, 68797297, 7829423, 17862450, 10728620, 47429823, 134695259, 33741451, 58519521, 16948464, 41181858, 36205077, 97040366, 105901672, 21769575, 37371317, 23242567, 29984501, 327063924, 7097485, 13130855, 15072477, 43176167, 10281903, 11347144, 67785269, 21147669, 34469220, 33706055, 5807442, 70631717, 62623214, 22598478, 85660278, 37381945, 23580742, 37547910, 46902224, 9182292, 84751845, 11997696, 58374260, 69048485, 8899107, 45889349, 58222733, 169811745, 26014536, 39737628, 15119195, 13554292, 74241463, 27531167, 47136653, 22632365, 14648640, 99788052, 8583213, 163526627, 33261372, 48164330, 47850357, 24848086, 76249953, 3331856, 34674229, 8937545, 65080746, 57092899, 104888522, 28730007, 20588532, 3952949, 112854175, 92990750, 10845223, 26225179, 49030490, 13294588, 24766906, 93680837, 287119130, 23136344, 96107183, 34766411, 121733072, 15850384, 79205395, 13331112, 77572742, 19222845, 72844861, 5232805, 145082740, 43573138, 46258970, 4239382, 30869059, 64629592, 48659214, 11329710, 10920579, 134968746, 10328263, 6373325, 118933817, 149045109, 49793696, 31595333, 42207456, 32124993, 184449606, 12788432, 4778538, 54359416, 85069360, 17994755, 103526719, 67476139, 76584171, 256655658, 116834968, 18615545, 73978564, 10771004 ], [ 75527969, 73957937, 57791115, 218286599, 19545057, 7829423, 81223123, 10314206, 11568794, 53508313, 60840185, 74243328, 71615469, 97544519, 57273016, 4605955, 26342986, 148363555, 188559672, 57523743, 7083997, 176407070, 19818532, 34088334, 101437440, 143446391, 127135020, 46274253, 85673659, 21147669, 36342808, 30479417, 11368222, 48258577, 9919743, 73008940, 16380709, 29814910, 123466888, 109689335, 26458142, 102989807, 49905013, 40158318, 20220556, 8738751, 96064311, 23516204, 27022218, 85786520, 26014536, 87331021, 11455199, 67955405, 84521005, 30363827, 106326896, 6044690, 27541038, 99788052, 196798787, 24647788, 33395442, 4306898, 28367226, 152204219, 110304335, 11729070, 115381195, 8937545, 47738403, 166194665, 104330210, 97447020, 50960491, 116247650, 115312267, 106368291, 29846511, 220942899, 34174321, 10158467, 4921097, 97706088, 12045981, 23136344, 79513596, 121224, 74453127, 73828439, 79797849, 7492623, 159982290, 19222845, 62289908, 5229812, 11867819, 43573138, 6179357, 63975941, 73684003, 191048325, 56859134, 51017854, 165357810, 85967105, 14934828, 43313435, 85454598, 92402627, 31533926, 99687739, 18228452, 102948098, 54283146, 37966319, 82300461, 6078967, 39902837, 94962878, 221036683, 110349311, 15840429, 4842699, 12114064, 160202209, 96229724, 82023210 ], [ 24568957, 97085922, 80216113, 51594079, 102196809, 7829423, 99240994, 130453420, 9256646, 161756814, 111408838, 20146360, 71615469, 74977977, 35881504, 34741081, 35635354, 19049569, 251428535, 257544775, 147671229, 131187792, 33784157, 65539495, 31517016, 32464945, 167602548, 62682315, 36979083, 9811063, 11709932, 19256234, 16952128, 103716003, 9919743, 107832548, 1550606, 34023506, 9985536, 171395727, 23498723, 334549681, 49905013, 41882169, 30664376, 127439865, 2262424, 54676401, 99676746, 17107834, 128951806, 87331021, 5217428, 128426435, 25408734, 13802806, 22660571, 29523115, 56289537, 48091385, 9317757, 163526627, 26638054, 38677119, 224513435, 4770883, 131606927, 11729070, 54133005, 8937545, 476462, 3606114, 11035643, 97447020, 10418172, 67638576, 103553931, 498501221, 13309723, 1257604, 197114958, 33612121, 24766906, 26791723, 95959003, 18500226, 143989921, 143590005, 130663762, 21237389, 40968224, 7492623, 59814013, 19222845, 15959170, 5229812, 47946239, 43573138, 48063652, 8258553, 171064859, 6227883, 64410245, 114835017, 97194342, 232143941, 94349088, 43734632, 55757982, 48503409, 8198026, 142510695, 1250663, 40222292, 27405413, 77874438, 36231807, 131099164, 24346444, 94962878, 32182005, 5201224, 129279922, 138025580, 49228894, 33152799, 57156642, 158189237 ], [ 36693887, 37116659, 44621595, 22543064, 70759739, 7829423, 157367015, 9575149, 47429823, 142793895, 103187422, 4916330, 68684428, 63714770, 20968951, 97040366, 45439897, 148363555, 29159332, 12230160, 14233865, 41601143, 19818532, 67138310, 14282190, 47168326, 17558543, 61359642, 4139590, 9811063, 145809542, 62463988, 28190702, 19490018, 9919743, 35718984, 46427021, 72962853, 9985536, 36700884, 26458142, 10259202, 6687197, 1004199, 20220556, 8738751, 4572319, 54676401, 79187697, 83200726, 26014536, 56051631, 103758319, 131766780, 74241463, 13802806, 45905306, 63465833, 24524268, 48091385, 63148232, 56980432, 91529355, 15008321, 14470582, 4770883, 112297180, 11729070, 9580153, 8937545, 1927362, 104722467, 26179740, 4832911, 27303075, 116247650, 1252446, 27055759, 43116733, 19249411, 34174321, 33612121, 3450763, 36473782, 9682972, 142170392, 31462174, 143590005, 18547000, 24041366, 13926909, 7492623, 37156666, 19222845, 69983407, 1468993, 91049219, 5507501, 16826811, 8258553, 6496455, 22447868, 29360703, 122567273, 79147676, 2904225, 68427266, 1634069, 62037005, 79350361, 31533926, 85667536, 17980645, 2587839, 138845373, 37966319, 63583366, 9219250, 24346444, 7574241, 37035196, 67476139, 6464083, 64906958, 30902677, 18615545, 14544951, 82023210 ], [ 50473785, 83328899, 91521943, 22543064, 136245013, 7829423, 75869350, 13982176, 209056837, 50839867, 119367130, 50368910, 33167983, 13949632, 75752799, 33600740, 105901672, 44778422, 26651838, 21558226, 7467165, 41601143, 54507159, 65539495, 142821452, 28876787, 53767925, 166038206, 998259, 12673692, 29297751, 240356324, 85984868, 11538469, 9919743, 43959521, 33233993, 28094698, 123466888, 26723723, 36108440, 6127997, 98787651, 17337090, 39853586, 12237799, 4572319, 54676401, 106295078, 83200726, 26014536, 33709547, 8988401, 45244718, 98129014, 10654555, 84948317, 125697370, 69873727, 48091385, 52268891, 3461683, 17694285, 15008321, 46825809, 105131949, 131606927, 11729070, 58181501, 8937545, 1927362, 41498887, 2585693, 29906780, 20588532, 76258876, 74581933, 71500726, 52221027, 162873870, 76332171, 33612121, 55792187, 12633242, 60151639, 233624738, 192082432, 143590005, 21518661, 73828439, 191962791, 7492623, 6532860, 19222845, 29041124, 5229812, 9904138, 43573138, 205000726, 5593722, 207472463, 21256729, 11205384, 152239854, 29603894, 101189550, 30097089, 43313435, 106621987, 48503409, 8198026, 18245555, 18605796, 75222315, 157498963, 12788432, 82300461, 6078967, 35583589, 9003037, 51505957, 67476139, 142662399, 12797032, 55241413, 45228415, 39011870, 82023210 ], [ 36693887, 52830180, 40672129, 35292679, 136245013, 226170881, 29738778, 20143976, 24406483, 16677736, 126174866, 17470031, 39063716, 63714770, 50053741, 201684345, 40855158, 19769984, 61191946, 59282552, 11570789, 72913017, 54507159, 9683852, 101437440, 7844174, 16674892, 46274253, 85673659, 21147669, 32318278, 72608530, 37924836, 187451739, 56912035, 115745494, 107093143, 90519181, 157583278, 64448995, 108687630, 26367106, 4528959, 120307240, 70074088, 84146308, 124662508, 78949654, 76355482, 169811745, 173743883, 10030682, 51243350, 139492398, 98129014, 6727468, 67533287, 154476883, 11163758, 108112636, 189402559, 66316249, 219586906, 88393113, 224513435, 74368723, 110304335, 3934247, 18270592, 11128502, 47738403, 6038789, 33291019, 5344776, 21243124, 530850, 1375471, 31134821, 5564859, 59806250, 11279915, 180617129, 59181546, 45077948, 48897944, 23136344, 31462174, 42897, 67915181, 73828439, 114745299, 12272859, 5096699, 19222845, 60854711, 94523830, 1851798, 33067952, 46258970, 64718352, 234684, 79870237, 64410245, 3396181, 165357810, 50377822, 137189372, 13614347, 35164341, 10655704, 49795860, 75624451, 18605796, 108515318, 21156306, 77874438, 4285659, 6078967, 74309083, 221923766, 193543001, 67476139, 85358323, 35781802, 82142274, 18615545, 39011870, 158189237 ], [ 81365832, 13262061, 59755595, 7150769, 38616369, 42561139, 119080967, 10938352, 31816588, 74157436, 23414985, 40028156, 71615469, 59304918, 88260215, 92801453, 105901672, 10053466, 102434117, 25067792, 69861726, 6747583, 52292132, 29415408, 15072477, 455495, 17558543, 8874972, 69219684, 21147669, 145809542, 100126380, 81109563, 44798675, 9919743, 29029864, 28888652, 73676270, 53354759, 33023729, 44288010, 22475230, 374018, 52668278, 39039705, 57317810, 33535188, 222875574, 79187697, 25757901, 15383545, 74969123, 112673304, 140430265, 19560718, 106487485, 102253300, 29937245, 19145405, 96586250, 4435304, 12873619, 51659623, 74046888, 19566584, 23458859, 41871562, 61269990, 9433402, 11128502, 27213168, 27231909, 191834795, 11467229, 20588532, 29962433, 11452209, 63985327, 19353368, 26225179, 45762368, 48006655, 24766906, 64613131, 58234141, 29536869, 4519966, 32438638, 55075676, 12571273, 2486826, 7492623, 9030435, 19222845, 60254400, 4087478, 95915745, 3374612, 17609662, 34787540, 12257796, 29693686, 17693913, 30818672, 88219344, 31883512, 160122026, 43313435, 35164341, 48503409, 8198026, 51741633, 82641380, 24390536, 73458073, 77874438, 37906318, 9219250, 45178327, 90507478, 32182005, 10996978, 17156204, 32373667, 15844806, 29412268, 57156642, 70328140 ], [ 21192448, 73957937, 91521943, 116750431, 25910147, 270127773, 29738778, 117250155, 47429823, 71013518, 67374390, 74243328, 31138895, 13920403, 50053741, 192486098, 123300023, 1320109, 61191946, 70967773, 12504639, 6747583, 54507159, 34088334, 79409986, 43176167, 144260059, 8874972, 67213595, 21147669, 85527543, 19457419, 81109563, 435072223, 9919743, 107832548, 64728658, 157300862, 209717285, 41077346, 85422202, 7658704, 15514669, 52687771, 57495222, 159340643, 16984205, 53068563, 22709165, 252936142, 27794976, 74969123, 161036725, 30969210, 17366602, 3744290, 86447177, 138915924, 68029201, 96586250, 177412646, 65502177, 16882534, 23951579, 80320702, 139221672, 9901112, 3934247, 80335514, 11128502, 58691418, 177003822, 5671570, 60676671, 92007162, 112535516, 11452209, 63985327, 44841138, 27824878, 162291132, 51068483, 24766906, 64613131, 119630748, 23136344, 61441404, 34969278, 35901352, 43362227, 124089653, 7492623, 69448589, 19222845, 26139271, 5229812, 5674697, 43573138, 110766261, 30702354, 40915217, 79870237, 64410245, 2842731, 18629613, 31883512, 39790493, 160106913, 315161259, 3702158, 115191074, 152283894, 42207456, 133858289, 78940650, 77874438, 6292514, 3101676, 39902837, 94962878, 10094996, 67476139, 6180329, 282066280, 97987349, 29412268, 84640108, 158189237 ], [ 119673112, 73957937, 91521943, 80487212, 136245013, 58217754, 27769855, 130453420, 160144969, 149683394, 151853792, 74243328, 64692667, 167840641, 437098192, 412602294, 163815048, 95068538, 118656017, 138673085, 150855363, 46042705, 54507159, 181152725, 71670348, 281419636, 144260059, 19528142, 4139590, 9811063, 104329566, 130652369, 266716304, 85419379, 555103953, 148874356, 277657016, 175444902, 469849798, 90318105, 44288010, 13424672, 90757221, 124972417, 92138015, 72681927, 271065143, 375422674, 158281515, 223778508, 26014536, 78383290, 415768676, 556676058, 73591677, 13802806, 66336280, 26083446, 14648640, 96586250, 2470016, 53945050, 129553606, 48164330, 745699, 8767110, 131606927, 121142618, 307699672, 11128502, 47738403, 115550342, 21045189, 60270550, 92007162, 29962433, 65833966, 63985327, 43112094, 19249411, 283824684, 180617129, 93224471, 134495180, 371790041, 23974405, 192082432, 519020, 52984891, 45315856, 661898664, 104370889, 191273026, 108569573, 62289908, 518756249, 113461032, 43573138, 82813620, 32328827, 30869059, 22447868, 44351555, 44312674, 287334089, 134518649, 46887196, 145603465, 35164341, 280876618, 43458299, 173856013, 238692196, 296632600, 303024978, 21120945, 14187457, 530232879, 24346444, 83135938, 105648214, 67476139, 18817578, 28196801, 183176331, 29412268, 54663602, 69968347 ], [ 202337531, 73957937, 57342820, 311917730, 125013236, 7829423, 417438507, 130453420, 47429823, 281253852, 39913552, 55136879, 71615469, 153471467, 180966442, 41196134, 98507634, 95068538, 69077364, 138673085, 90803632, 154509578, 48133062, 92115156, 31517016, 47168326, 105412996, 92279707, 36979083, 9811063, 108115314, 221667451, 131486917, 109060390, 9919743, 30532582, 140274632, 90589342, 53354759, 109689335, 11142073, 212665617, 49905013, 124972417, 141293504, 20343724, 46963576, 95329403, 106526601, 98014582, 9640565, 87331021, 406019397, 37635859, 73591677, 13802806, 80571280, 71019915, 14648640, 96586250, 416883383, 65502177, 118450694, 48164330, 35286264, 137077539, 131606927, 107018213, 60730647, 11128502, 164539683, 220884734, 26179740, 73497410, 92007162, 25754237, 142157452, 63985327, 95255415, 108979105, 63506446, 100430043, 24766906, 26791723, 25095896, 23974405, 143989921, 34969278, 108063401, 73828439, 12983430, 7492623, 183106577, 19222845, 171302980, 104997302, 175921170, 43573138, 54356096, 104853396, 181604836, 22447868, 64410245, 114835017, 46060360, 93453960, 78150023, 43313435, 35164341, 65389884, 364340403, 88438720, 1250663, 259420844, 102429450, 77874438, 14187457, 9219250, 24346444, 94962878, 271186117, 67476139, 18817578, 78707398, 98606959, 29412268, 125810034, 158189237 ], [ 238577833, 13262061, 29841058, 7150769, 136245013, 42600000, 78389535, 241860270, 31816588, 14650532, 23414985, 74243328, 71615469, 151551934, 57273016, 106614122, 92553623, 10053466, 51287163, 25067792, 29984501, 46042705, 54507159, 88217250, 21710163, 455495, 224545812, 46274253, 4139590, 21147669, 166019657, 100126380, 176707072, 299778811, 9919743, 29029864, 249361860, 125350875, 240537181, 17827532, 36108440, 39668587, 98787651, 744442, 172890788, 109407790, 118387951, 114697515, 258362746, 40548519, 26014536, 87331021, 112673304, 27442950, 90136490, 109120229, 179471924, 104382147, 19145405, 123626732, 4435304, 46481541, 33395442, 160754148, 128747422, 12230464, 87885838, 9763282, 9433402, 11128502, 27213168, 36500614, 104330210, 60270550, 55101405, 67053694, 39107390, 214823964, 159499413, 1081391, 45762368, 99339, 40525522, 132421896, 349521050, 124892082, 71982284, 134674203, 12596429, 73828439, 90594670, 7492623, 189219253, 19222845, 117806464, 5232805, 113461032, 43573138, 8006431, 32328827, 156622523, 9498304, 64410245, 730760, 29603894, 4696912, 159723573, 13112958, 102857154, 316094148, 31216632, 51741633, 108892514, 166310533, 144199753, 77874438, 142519476, 9219250, 135558658, 18565821, 86957823, 96407617, 37870153, 32373667, 12114064, 193380731, 54663602, 36592922 ], [ 81365832, 38167608, 91521943, 10146156, 33277103, 7829423, 67601439, 41655514, 25044537, 56281284, 102516458, 11452889, 45110786, 42278554, 36592941, 314294863, 18518610, 95068538, 51287163, 91072366, 155403820, 123044833, 16621108, 34088334, 8151623, 47168326, 49802944, 181026955, 4139590, 6847388, 71489327, 48525486, 13192576, 1422517, 7603521, 41163899, 80465428, 46989906, 53354759, 194479144, 21056439, 88839602, 90757221, 48587442, 39598691, 10151165, 46963576, 33027000, 134026294, 43741075, 26014536, 87331021, 12789386, 6174921, 53164084, 253027334, 800860, 40941824, 14648640, 96586250, 78548461, 65502177, 61772289, 48164330, 94522658, 152204219, 131606927, 43317630, 50326426, 11128502, 1173314, 57092899, 73522015, 52015619, 14242932, 41768460, 74581933, 62078491, 88157708, 19249411, 63723495, 94236501, 24766906, 229216956, 123442974, 23136344, 32124326, 34969278, 534657, 3582477, 1514068, 290569999, 8702321, 19222845, 60854711, 5232805, 44055985, 6371671, 14947678, 34787540, 35034720, 67636068, 22173503, 96206678, 3452385, 238197709, 100143768, 185295986, 23979042, 94392378, 9560307, 202785409, 45902691, 44272748, 38004335, 71561743, 14187457, 57047011, 52303884, 83135938, 7805551, 234105644, 18817578, 78707398, 49993749, 27594069, 9347264, 152199936 ], [ 154010600, 55831625, 110543848, 74511019, 125013236, 7829423, 323592506, 130453420, 47429823, 69172837, 23011739, 55136879, 71615469, 30150364, 57273016, 177062163, 18518610, 40074066, 5312691, 107858694, 17088587, 204617165, 54507159, 34088334, 4836413, 47168326, 112493019, 70212571, 36979083, 9811063, 50069238, 90622903, 130629805, 165811569, 9919743, 180270267, 80369532, 63631160, 95060554, 74056815, 35463597, 168861895, 49905013, 107806842, 60911078, 181581527, 46963576, 127497359, 7617318, 41380616, 33441307, 8049892, 12789386, 30634129, 2463158, 13802806, 58900006, 46136501, 14648640, 96586250, 61606123, 46481541, 146037707, 7525681, 72999968, 137077539, 107754139, 310581, 50326426, 11128502, 65080746, 45956875, 26179740, 100791298, 20588532, 116247650, 84094160, 21989413, 86717958, 73332594, 334235957, 629887, 24766906, 274319417, 12184028, 23136344, 143989921, 34969278, 108063401, 67954737, 98289346, 7492623, 80374169, 19222845, 15727200, 105860579, 37119810, 43573138, 80848407, 63975941, 123368349, 22447868, 42410573, 114835017, 138068653, 23760392, 14861593, 21571738, 11261624, 5175904, 364340403, 152283894, 1250663, 51837287, 72242252, 1778507, 14187457, 84967719, 24346444, 94962878, 271186117, 18566907, 18817578, 48781216, 12114064, 1832243, 155388816, 158189237 ], [ 6925873, 22529708, 44306063, 36703392, 136245013, 38081745, 5481880, 126781789, 248123826, 182093476, 42522121, 6605689, 65498852, 39175709, 208835143, 21736456, 18518610, 148363555, 5312691, 34658389, 59161984, 37223644, 54507159, 5971639, 8151623, 117016792, 9823384, 31043805, 4139590, 21147669, 32318278, 48525486, 13192576, 86439671, 9919743, 15893949, 85660278, 261750622, 148733136, 49588790, 111823573, 9182292, 49905013, 124972417, 29750484, 181581527, 22487531, 145062040, 84387194, 85786520, 26014536, 19852518, 12789386, 109565665, 55289039, 29246001, 17143545, 8221730, 14648640, 108112636, 156295774, 51205867, 38281244, 48164330, 180005608, 427530753, 131606927, 116873020, 50326426, 11128502, 22704879, 31668833, 2585693, 60270550, 20588532, 31914154, 73825580, 34125965, 95255415, 19249411, 23800554, 135397348, 35356550, 59730645, 6163357, 23136344, 13431390, 65859679, 187261752, 73828439, 119485024, 7492623, 2224546, 19222845, 55887444, 5232805, 26063013, 14280183, 112670427, 321143, 101731487, 15546031, 46124803, 179441183, 103376979, 10148911, 46999773, 43313435, 43070149, 5175904, 31533926, 18245555, 108892514, 75222315, 240354627, 32319040, 14187457, 9219250, 83706078, 83135938, 31507709, 67476139, 37426293, 60554761, 74621554, 49757387, 54663602, 81159617 ], [ 133767379, 73957937, 9024081, 80487212, 136245013, 7829423, 133977150, 306660385, 123743422, 81188546, 42522121, 74243328, 36188612, 167840641, 561023921, 89088779, 591729820, 44778422, 5312691, 278753619, 48757041, 410445264, 54507159, 56383534, 116257715, 540685894, 10138301, 35639931, 225798482, 235402577, 36342808, 202654045, 111407, 90961544, 126871329, 765551138, 363853877, 4832556, 143721966, 101321538, 92260806, 237250053, 90757221, 93323456, 212309126, 72681927, 90365535, 222875574, 158281515, 252936142, 27794976, 87331021, 146891809, 312579249, 73591677, 36514051, 24442330, 104763504, 111902017, 96586250, 207784451, 65502177, 84556005, 240335432, 401038826, 138530312, 37979439, 85464298, 50568960, 11128502, 164539683, 154347737, 345083454, 22062376, 17857116, 29034, 11452209, 63985327, 271456991, 21767430, 14601617, 10158467, 29603143, 59312652, 12184028, 378245761, 69146842, 34969278, 85542906, 73828439, 427772268, 280738931, 199892711, 214689935, 25454829, 48594798, 9904138, 43573138, 201667541, 9350717, 143390239, 15201803, 64410245, 127794471, 19451382, 31883512, 81197310, 247937496, 35164341, 252561572, 131121480, 83635721, 163019108, 296632600, 78940650, 40457437, 336959190, 119569578, 67899916, 303367924, 105648214, 277962867, 18817578, 78707398, 133947135, 29412268, 737466164, 13783201 ], [ 21192448, 36539407, 6087794, 51594079, 135070202, 7829423, 60053269, 41655514, 11338106, 300846091, 109219729, 5642071, 71615469, 13920403, 57273016, 53446104, 109549644, 105028294, 435357267, 28941804, 29984501, 1361091, 46797033, 2593866, 10488826, 71377799, 16674892, 61993387, 18830267, 9811063, 32318278, 19256234, 44581152, 103716003, 9919743, 9281703, 37182016, 118504152, 9985536, 194479144, 92344462, 37256287, 98787651, 41882169, 39853586, 159340643, 3890878, 5528881, 34621639, 52096546, 26014536, 46356575, 190065539, 67955405, 50703215, 13802806, 22877542, 119340238, 124904077, 35716226, 78221967, 97305873, 33395442, 108243410, 70164778, 4770883, 4441248, 28677913, 80335514, 11128502, 71141675, 54768859, 2585693, 6787830, 186444046, 77334314, 206749202, 22464142, 46588661, 114719423, 180285139, 240556750, 104478268, 118521704, 153636573, 23136344, 23668933, 143590005, 23343725, 73828439, 89650984, 7492623, 19098511, 19222845, 264493512, 5229812, 26063013, 20716534, 61738332, 104335650, 4259272, 22447868, 50865195, 15381447, 165357810, 83432344, 36849268, 55492560, 35164341, 94194490, 256257371, 3755203, 17980645, 75181303, 117243517, 53834422, 6292514, 10451778, 24346444, 20672213, 152954922, 67476139, 35652117, 78707398, 97987349, 83112910, 76962033, 8385885 ], [ 82816544, 97085922, 83143837, 68786783, 136245013, 10249381, 81223123, 10728620, 28389397, 16677736, 38256859, 64039569, 12592362, 97544519, 57273016, 152415225, 2470336, 23713804, 48574538, 28941804, 29984501, 70120030, 52292132, 6828228, 9767425, 17111434, 17558543, 31043805, 85673659, 21147669, 90105736, 70712698, 130629805, 19490018, 9919743, 135910074, 112905624, 144491050, 23580742, 36700884, 38375191, 74514401, 46271218, 17925071, 3020218, 168446, 46963576, 145062040, 14193971, 12276860, 26014536, 15280266, 45328380, 67955405, 74241463, 11735842, 75770217, 102091328, 14648640, 35718180, 344937687, 36238260, 33395442, 7463629, 56731380, 23458859, 85243657, 12512447, 94420609, 11128502, 92524893, 26004917, 10258276, 12467909, 33384915, 152285872, 142157452, 90102240, 13613715, 26225179, 43371719, 35924575, 24766906, 19795480, 59534878, 23136344, 4901288, 130471217, 47087107, 73828439, 28854300, 7492623, 53375586, 19222845, 15727200, 75897377, 134214648, 1404637, 8006431, 81208466, 96530392, 79201004, 64410245, 397981237, 39990073, 10148911, 110944937, 19964998, 106621987, 12175703, 128530941, 20229549, 77955427, 57250368, 22196166, 77874438, 14187457, 4456576, 108877816, 824403, 80979393, 25789892, 6464083, 35781802, 208043842, 29750645, 33579362, 158189237 ], [ 73278332, 39301225, 761466, 30637130, 33367617, 7829423, 19233415, 527077, 31816588, 13939513, 12809676, 17470031, 8799657, 97544519, 89978190, 51164944, 22370454, 21769575, 51287163, 257544775, 151693697, 3330870, 15843813, 45937873, 15072477, 46559750, 7099602, 46274253, 24105511, 9811063, 45561505, 19256234, 89490872, 19490018, 9919743, 100200947, 7728598, 52916695, 23580742, 10679662, 12597235, 74514401, 80363159, 41882169, 39853586, 19310705, 3890878, 147311502, 27658597, 78224680, 66953089, 10030682, 111822348, 68723340, 23663798, 13802806, 53062203, 1621307, 60634491, 99788052, 131338984, 26250097, 29031807, 4081438, 77827158, 42863939, 28166143, 12981652, 94420609, 11128502, 74985490, 11656968, 2585693, 12467909, 343415143, 11388871, 2186367, 34125965, 131913687, 26225179, 80116042, 11717732, 40525522, 46909350, 27553630, 68814042, 18300747, 65859679, 6061460, 40272716, 28854300, 7492623, 77572742, 19222845, 60811938, 32263064, 40686868, 43573138, 3522355, 3518870, 74867138, 22447868, 12046729, 45051428, 30829249, 28337482, 28797117, 30818252, 76634228, 12175703, 22025713, 18245555, 45163875, 75222315, 98651921, 77874438, 82300461, 5300437, 24346444, 94962878, 73255518, 29998079, 6464083, 114939500, 43911121, 41794490, 194938984, 48756787 ], [ 109240973, 97085922, 91521943, 27543629, 136245013, 58579466, 154794819, 281574122, 11338106, 245761981, 151853792, 58519521, 71331910, 27480060, 404779747, 281651962, 49526713, 58008113, 51287163, 128972561, 48757041, 529249463, 54507159, 34088334, 76722563, 12171736, 112493019, 116626588, 408644154, 21147669, 123868679, 804298, 39949637, 272245920, 44610530, 124569533, 70751615, 144491050, 382964463, 77675176, 161630182, 55864369, 49905013, 107806842, 196228914, 10650515, 46963576, 5528881, 1953595, 412914782, 259483731, 412334045, 111175371, 30779471, 74241463, 61841615, 75648262, 71019915, 14648640, 218819939, 61606123, 163526627, 166247101, 48164330, 17250925, 16362042, 131606927, 142246769, 158975681, 11128502, 66861392, 15483014, 220417868, 272079305, 371688031, 465640926, 142157452, 107055693, 83023992, 34722403, 145235399, 109922148, 24766906, 19795480, 7835358, 23136344, 4901288, 15766491, 48669013, 32243917, 15945830, 114032897, 137067707, 239851689, 264493512, 19352424, 37119810, 43573138, 90706319, 102400564, 491084287, 62019042, 42410573, 33373381, 314305214, 36643396, 160122026, 55990207, 35164341, 92002633, 27146686, 201298714, 47260902, 21702030, 238769300, 77874438, 14187457, 424844802, 162226585, 227634995, 103526719, 91709599, 101441190, 78707398, 208043842, 58161267, 73978564, 8385885 ], [ 42188445, 25627318, 69934916, 51594079, 136245013, 38081745, 81223123, 98688880, 119218474, 13939513, 119367130, 34518685, 8799657, 172514935, 57273016, 105822610, 44076939, 93791090, 29159332, 42877873, 29984501, 41681295, 36882686, 5971639, 74844343, 46559750, 17558543, 15707594, 4139590, 21147669, 45561505, 19256234, 176707072, 44942891, 9919743, 41163899, 53303289, 183735005, 3477864, 36700884, 11142073, 10259202, 84011763, 41882169, 39598691, 181581527, 3890878, 99938311, 79187697, 85786520, 26014536, 86665551, 60673092, 67955405, 98129014, 86751626, 148435047, 1621307, 29545950, 33823205, 131338984, 9919983, 33395442, 227938949, 70164778, 23408616, 60930050, 20876282, 113628479, 11128502, 47738403, 26004917, 2585693, 60270550, 9674566, 47190615, 100297601, 221375498, 47436917, 1081391, 76332171, 35924575, 36382555, 10467512, 42126297, 23136344, 27109615, 134674203, 69036259, 73828439, 65970730, 7492623, 112610509, 19222845, 62289908, 5232805, 33930366, 14280183, 41554669, 104335650, 30869059, 9498304, 64410245, 238108826, 36604720, 1543963, 19265764, 145603465, 35164341, 44688488, 31216632, 18245555, 108328295, 75222315, 117243517, 77874438, 14691527, 135279616, 83706078, 7574241, 43942944, 29998079, 48791520, 78707398, 44236451, 5375703, 51346913, 126126563 ], [ 6411941, 7499958, 57791115, 56177437, 14316084, 84316290, 81223123, 10728620, 11338106, 13939513, 33741451, 34518685, 86848865, 43984272, 57273016, 4605955, 18518610, 71495555, 21654249, 12230160, 29984501, 46042705, 54507159, 5971639, 4223692, 3571107, 56831403, 31043805, 28364289, 10733241, 45561505, 24392808, 32878881, 19490018, 22427269, 22598478, 30350125, 49181866, 23580742, 48807174, 11142073, 17280545, 99684469, 744442, 7150152, 92138996, 30728137, 9193361, 27658597, 55494478, 26014536, 72386568, 12463154, 21139736, 74241463, 86751626, 69399563, 1621307, 11163758, 31897130, 64124675, 50703422, 33395442, 4081438, 8488707, 8767110, 43635014, 20876282, 5802696, 11128502, 3741901, 50153561, 66925787, 12467909, 9674566, 29936313, 1375471, 5310261, 19353368, 26225179, 36040085, 629887, 9903789, 25965147, 42126297, 23136344, 26166188, 58798743, 4808035, 14146908, 28854300, 27381846, 53375586, 19222845, 83442520, 5229812, 1503253, 14280183, 41554669, 3962925, 77797544, 44820657, 6005134, 43393970, 41367092, 1543963, 14934828, 44126617, 11775402, 12175703, 107526108, 21710698, 103804387, 13069568, 25312774, 77874438, 1330228, 134045925, 17284362, 22717768, 32182005, 54314133, 6464083, 12797032, 20069025, 52853575, 24832000, 8385885 ], [ 224415304, 30442067, 91521943, 51594079, 125013236, 7829423, 60053269, 92456445, 11338106, 1496975, 28286860, 55136879, 71615469, 4386071, 89978190, 99764158, 35635354, 29153404, 170804124, 88379036, 29984501, 183131299, 46304885, 34088334, 13601251, 23604150, 26468430, 6174396, 29386473, 21147669, 35615106, 19256234, 28190702, 19490018, 9919743, 26871365, 66643059, 90589342, 37278266, 37153598, 70887319, 105500229, 49905013, 41882169, 39465332, 10151165, 3890878, 5528881, 170344726, 89121664, 26014536, 68868506, 153056370, 49755262, 74241463, 10654555, 22877542, 71019915, 39065278, 22434602, 21228821, 97305873, 33395442, 6921616, 13930864, 152204219, 3148072, 116873020, 94420609, 11128502, 80079426, 58173771, 17184765, 6787830, 105449809, 51139277, 142157452, 14421553, 4178332, 63610940, 6512458, 156045941, 17345118, 45077948, 49825116, 23136344, 26371310, 114370867, 48669013, 12197353, 25004457, 7492623, 23401976, 19222845, 40151211, 5229812, 9904138, 23622241, 41554669, 30702354, 61104428, 27699063, 22173503, 15381447, 84970687, 2904225, 36849268, 3824292, 35164341, 1727618, 260853844, 93761735, 1250663, 140442567, 69246407, 77874438, 20749786, 72979428, 39902837, 44404399, 7805551, 26588190, 6464083, 76870292, 97987349, 86728952, 39011870, 8385885 ], [ 24568957, 25465273, 40672129, 74511019, 33277103, 231850835, 81223123, 92456445, 11338106, 16677736, 28463565, 6234330, 6423718, 4386071, 57273016, 53446104, 3205874, 148363555, 225112488, 111696730, 29984501, 70120030, 54507159, 34088334, 8151623, 100807811, 231150847, 61359642, 24390500, 9811063, 90105736, 70712698, 92420806, 19490018, 9919743, 180270267, 154444328, 125350875, 83189421, 10679662, 108687630, 8336817, 34225835, 17925071, 127435448, 181581527, 134693259, 145062040, 337819562, 185945601, 26014536, 10030682, 12789386, 67955405, 66473366, 13802806, 155965293, 57345974, 4193296, 33823205, 256620419, 66703717, 33395442, 12293544, 91914071, 23458859, 20160336, 9662065, 50326426, 11128502, 81048222, 54768859, 26179740, 6787830, 69060356, 43964247, 304789851, 22464142, 145075117, 26225179, 197633367, 48006655, 40525522, 93680837, 42126297, 23136344, 192082432, 47797350, 111903470, 73828439, 28854300, 7492623, 4858739, 19222845, 204955126, 5232805, 53422839, 15323433, 3522355, 81208466, 61104428, 22447868, 56306782, 125872616, 72277803, 150049881, 192028248, 52408046, 45380486, 48503409, 8198026, 65918568, 34900327, 2942449, 127191488, 71561743, 56487388, 10451778, 24346444, 94962878, 124333307, 67476139, 6464083, 35781802, 209667369, 180613115, 59543859, 8385885 ], [ 8716987, 13053654, 14397317, 18570346, 125013236, 7829423, 81223123, 98688880, 11338106, 303646787, 151853792, 55136879, 71615469, 174118816, 57273016, 274745049, 98507634, 100679876, 7308791, 35001047, 29984501, 41681295, 46797033, 5971639, 15072477, 47168326, 132034740, 124038635, 187290, 9811063, 72138902, 19256234, 92420806, 4265229, 9919743, 52372869, 89979232, 90589342, 9985536, 41108898, 85422202, 95334493, 69605196, 41882169, 39853586, 79361682, 3890878, 5528881, 14335983, 18382067, 26014536, 87331021, 153056370, 67955405, 17366602, 13802806, 143121511, 6045037, 33080672, 149653581, 6652893, 88237146, 33395442, 7969807, 19480414, 4770883, 107754139, 113185235, 111852988, 11128502, 101058953, 220884734, 2585693, 266366248, 56811805, 12932500, 14124018, 19606683, 52479638, 26225179, 18949870, 74732900, 24766906, 152145799, 142322078, 23136344, 192082432, 37534982, 24938560, 58955049, 41389283, 7492623, 19098511, 19222845, 97838497, 5229812, 49803073, 14280183, 120942694, 104335650, 128594277, 20750624, 64410245, 33373381, 15231301, 150049881, 15458139, 199328976, 35164341, 12175703, 36200501, 18245555, 17980645, 75222315, 117243517, 77874438, 20353431, 5300437, 24346444, 94962878, 43942944, 67476139, 37426293, 76733489, 165350175, 1832243, 147697790, 8385885 ], [ 24568957, 73957937, 20757169, 74511019, 23060975, 7829423, 57654978, 10728620, 11338106, 41550960, 12809676, 64039569, 71615469, 4386071, 27208419, 152415225, 18518610, 44778422, 44708668, 30087388, 69861726, 3330870, 15843813, 5971639, 8151623, 36757506, 16674892, 29319736, 24390500, 9811063, 32318278, 56261261, 92420806, 83088573, 9919743, 100200947, 85660278, 28571661, 23580742, 10679662, 80322251, 13424672, 98787651, 84396464, 39853586, 8738751, 46963576, 5528881, 141214559, 85786520, 27794976, 30257612, 12789386, 42624056, 66473366, 13802806, 18247964, 1194461, 4193296, 28456691, 109850597, 88237146, 146037707, 36769191, 17692427, 42863939, 110304335, 20876282, 50326426, 11128502, 47613840, 26004917, 2585693, 37963677, 9674566, 57292505, 1240223, 44403206, 17133804, 89863703, 159577275, 11841208, 24766906, 353621, 84817240, 23136344, 4901288, 34969278, 30711623, 45315856, 65970730, 7492623, 13703374, 6494163, 66555186, 5232805, 9904138, 5567090, 3522355, 30702354, 27835947, 22447868, 12092052, 33373381, 72897046, 134518649, 46887196, 10426011, 20541419, 12175703, 31533926, 18245555, 45163875, 75222315, 198934619, 37966319, 29830919, 102939033, 22816936, 94962878, 43942944, 18161955, 85358323, 21231530, 7940278, 82999108, 102867255, 8385885 ], [ 36165227, 90161977, 154190, 74511019, 3882449, 90936856, 304019518, 153186800, 74851581, 310345601, 136486186, 74243328, 71615469, 59370111, 75374289, 71167525, 18518610, 29466415, 212393974, 128972561, 115829180, 29555188, 17229291, 610686139, 8151623, 143953139, 16674892, 61993387, 4139590, 21147669, 32318278, 67516099, 40148963, 392336050, 9919743, 229013731, 59625208, 214013680, 94263588, 109689335, 182319031, 13424672, 98787651, 124972417, 37029892, 69118214, 170764325, 5528881, 182288992, 223094416, 26014536, 78346138, 12789386, 367746315, 98129014, 22160100, 48212736, 57345974, 14648640, 15659086, 67373874, 96510512, 166247101, 27329795, 70164778, 42677988, 116844005, 96825983, 50326426, 11128502, 47738403, 73698525, 214073558, 18583904, 1476990, 109085950, 1375471, 64745809, 95255415, 19249411, 153159701, 28654178, 11914058, 183263655, 355325470, 23974405, 101146882, 65933766, 48669013, 1660998, 216419535, 7492623, 191273026, 19222845, 62289908, 88201049, 26063013, 43573138, 26411500, 32328827, 146751926, 1121340, 64410245, 33373381, 72897046, 487719289, 14861593, 43313435, 35164341, 353608570, 43644912, 152283894, 62702179, 91196093, 193631246, 1778507, 14187457, 9219250, 656225, 83135938, 98344, 18566907, 268173912, 78707398, 104069106, 1832243, 54663602, 158189237 ], [ 71836029, 97085922, 58936418, 270786891, 25910147, 86558720, 177470739, 159809555, 42081744, 69172837, 3134393, 74243328, 36188612, 88393378, 33232582, 39070086, 38418606, 632817003, 39005476, 28941804, 17088587, 3330870, 15843813, 32486675, 4836413, 209569695, 10138301, 252460297, 1868643, 21147669, 50069238, 94730687, 54332702, 58495579, 126871329, 32968949, 85660278, 68112369, 143721966, 28384536, 135320626, 149196458, 762500, 124972417, 7150152, 181581527, 16984205, 100859830, 31732514, 75632376, 400897101, 87331021, 55729082, 125176395, 77946081, 34775875, 35537402, 64185138, 14648640, 54827122, 131338984, 163526627, 117605995, 23951579, 25872681, 463921, 37979439, 85464298, 6029628, 11128502, 65080746, 26004917, 85764190, 22062376, 17857116, 20996198, 19456784, 4232416, 5965014, 21767430, 49042019, 160597648, 40468082, 65026614, 134191451, 23974405, 142524783, 143590005, 47087107, 31631278, 15716754, 322389397, 8702321, 19222845, 25454829, 44916132, 67706453, 15323433, 41554669, 45332682, 34194856, 26703998, 64410245, 33102127, 18629613, 36643396, 52774061, 55115842, 35164341, 87503740, 131121480, 55185111, 45163875, 108941446, 24729259, 42657465, 14187457, 18596849, 65096317, 5368639, 10094996, 29998079, 89728811, 78707398, 333147, 82219371, 101555885, 44302415 ], [ 20266926, 52634355, 9024081, 207343711, 25910147, 7829423, 138825044, 58388583, 44140979, 7588831, 102887187, 23689734, 224762023, 150624059, 37793319, 41196134, 60885450, 69607594, 6662784, 28941804, 69861726, 29555188, 54507159, 65539495, 79409986, 126330145, 30126758, 286927837, 4139590, 68414272, 60417112, 197656724, 82189877, 24416485, 3917708, 2706337, 85660278, 29302557, 94263588, 34063333, 35327262, 39668587, 115562724, 93323456, 89109842, 102867205, 90365535, 5528881, 24279501, 181356788, 26014536, 17067399, 234730282, 25593956, 20018187, 34775875, 48212736, 8221730, 14648640, 91409042, 2470016, 97305873, 71506824, 2559906, 745699, 65929704, 138740074, 26818306, 17798266, 11128502, 13412774, 151729950, 46701361, 28358421, 20588532, 9022951, 60974175, 83060934, 95255415, 19249411, 45404420, 48006655, 203667260, 152145799, 32855580, 23974405, 77153737, 143590005, 48669013, 21518044, 90395189, 91978305, 26591430, 19222845, 67186862, 44916132, 33689536, 27358281, 40776924, 9350717, 49450810, 79870237, 64410245, 28666453, 18629613, 59180094, 3435798, 24462180, 35164341, 48503409, 8198026, 156310713, 142415073, 125508022, 20669031, 801913, 14187457, 107331995, 57381738, 83135938, 10094996, 67476139, 42472057, 27614505, 134096834, 41984020, 54663602, 521545 ], [ 4944275, 97085922, 20551867, 43872504, 90407784, 1319852, 34444996, 5989259, 31816588, 14466046, 110990789, 28429720, 84520594, 50091355, 57273016, 51959001, 207032557, 95955202, 36161704, 477735, 20457119, 37814712, 15394990, 548401, 186264658, 45320302, 6583782, 79277097, 1777641, 9811063, 56364034, 16273457, 13784895, 19490018, 61905387, 65021272, 205310846, 52801736, 133338545, 26723723, 11142073, 124550739, 6715803, 114315668, 64054485, 8738751, 10632330, 57322508, 61477754, 9501210, 23014269, 86665551, 78451727, 28863318, 26675367, 13802806, 16762983, 28179810, 14686510, 90923096, 10098227, 2107739, 1599606, 15008321, 56731427, 23458859, 131606927, 71913506, 16242110, 11128502, 64307308, 61897468, 26179740, 6787830, 55101405, 51136416, 164224496, 92990750, 19353368, 35217822, 2617442, 69254094, 40525522, 64944390, 94396060, 10730416, 43319394, 65859679, 89091032, 73828439, 1357031, 162773990, 33788022, 19222845, 99527334, 5229812, 88494223, 9948766, 8006431, 50471247, 61104428, 22447868, 60899828, 132992065, 13727289, 17905906, 22810538, 63785001, 35164341, 17299405, 26595740, 198296223, 81902309, 153025093, 21042131, 37966319, 9457991, 92925563, 4246504, 102983281, 32182005, 58363570, 6464083, 9459107, 9957602, 99739753, 57156642, 123716021 ], [ 82816544, 30204293, 40672129, 117514230, 3864026, 7829423, 81223123, 10728620, 44315438, 16677736, 33741451, 12235856, 34019496, 20865873, 65923811, 63370014, 10545885, 98899661, 6662784, 58594547, 29984501, 45845130, 15394990, 34088334, 270660780, 1124982, 1423423, 9297054, 16651970, 9811063, 2683954, 26870932, 51423993, 19490018, 57270658, 49405301, 85660278, 229969986, 9985536, 189301765, 664293, 23347262, 14358057, 81095036, 39853586, 5564078, 46963576, 2372828, 129972004, 85786520, 174675622, 10030682, 7719421, 15889489, 17366602, 1166550, 141989178, 134823790, 26836444, 161695265, 158797920, 163526627, 33395442, 17215145, 56190906, 4770883, 20160336, 109722322, 94420609, 10266812, 123867353, 28228757, 2585693, 12467909, 20588532, 9022882, 48982349, 138757696, 137438128, 108979105, 75157440, 110854679, 24766906, 152145799, 8841244, 4804257, 192082432, 65657950, 9489121, 21518044, 28854300, 91978305, 77572742, 19222845, 17551062, 93845942, 26063013, 5491309, 159342348, 32328827, 49450810, 18668538, 64410245, 132992065, 51603924, 246766272, 22810538, 46447386, 35164341, 132128370, 31533926, 18245555, 17980645, 75222315, 101443646, 12788432, 47784467, 72013186, 24346444, 221943839, 77117349, 67476139, 6464083, 35781802, 24476996, 13982955, 32505446, 36062939 ], [ 46096852, 13262061, 9024081, 36952558, 127379927, 7829423, 119080967, 10728620, 47429823, 16677736, 119367130, 45643335, 71615469, 13949632, 40171562, 25212322, 10545885, 98899661, 419448016, 101293469, 17088587, 183131299, 54507159, 91592187, 2149817, 5335064, 141286325, 95370221, 36979083, 6892817, 50069238, 48525486, 6963277, 19490018, 9919743, 199867067, 85660278, 111646838, 23580742, 26723723, 36108440, 18935592, 98787651, 93323456, 20220556, 10892048, 10632330, 78083116, 106526601, 85786520, 6062175, 36602426, 12789386, 126181351, 15695663, 13802806, 179471924, 57345974, 31180047, 16330527, 24436762, 53608172, 10055390, 74046888, 12980648, 23458859, 9199391, 116873020, 50326426, 11128502, 65127504, 73698525, 26179740, 12467909, 20588532, 116247650, 113462254, 54497461, 44841138, 1405315, 34174321, 46179394, 24766906, 97706088, 44399837, 9241107, 35787454, 45723755, 86546474, 73828439, 7903880, 7492623, 77572742, 3742469, 24119561, 75897377, 63753642, 43573138, 272014843, 9350717, 60341589, 22447868, 60899828, 59285398, 16539226, 47516633, 47583747, 185295986, 8391882, 17299405, 31533926, 94384783, 1250663, 155655949, 101194654, 31131358, 99368776, 8305194, 24346444, 90507478, 51613150, 76350134, 6464083, 35781802, 55241413, 49757387, 68038574, 59881781 ], [ 83723099, 95892000, 43798378, 69861131, 493333, 88259316, 108092179, 122462497, 354292059, 14650532, 151853792, 60680714, 8799657, 35049492, 50053741, 106323088, 35635354, 109183045, 13676028, 57593823, 69861726, 4874411, 39892445, 30265834, 353443360, 46559750, 10138301, 11659241, 4139590, 21147669, 120861040, 183428615, 9771306, 213577088, 9919743, 22598478, 39727645, 40205043, 6500391, 37153598, 12915334, 18313273, 4154409, 124972417, 9443427, 181581527, 135602929, 36292908, 94543041, 223778508, 174675622, 119034694, 151366750, 25942453, 32968584, 31912177, 23368320, 7865970, 24259229, 186875839, 375426403, 46466809, 131219860, 11946234, 54474884, 166747196, 24079515, 94290375, 90081253, 11128502, 27627253, 63477414, 73522015, 60270550, 76718576, 195284540, 51997502, 63193423, 54763775, 16830270, 197780416, 77870115, 73106493, 110937222, 44747355, 102842226, 192082432, 70540554, 52984891, 74366654, 165871647, 7492623, 112610509, 19222845, 10543956, 194447122, 13755875, 43573138, 46120806, 32328827, 273135566, 17332250, 64410245, 834904, 89280760, 14337913, 22810538, 20250182, 35164341, 20602581, 66908106, 66045757, 1957091, 60938067, 46252471, 77874438, 437293168, 119569578, 114234826, 51565532, 23235883, 67476139, 11385964, 4188025, 73978516, 235151078, 54663602, 87827714 ], [ 39933620, 97085922, 91521943, 50682523, 31489243, 7829423, 81223123, 117287956, 47429823, 65059950, 119367130, 60680714, 71615469, 177384777, 57273016, 63008251, 35635354, 35210160, 29159332, 29461190, 9367199, 193898925, 52292132, 34088334, 101437440, 43176167, 16674892, 14486173, 85673659, 21147669, 14855891, 9752379, 130629805, 19490018, 9919743, 1919907, 39943633, 11435227, 9985536, 36700884, 97275474, 10259202, 98787651, 32893418, 39853586, 8738751, 46963576, 30503871, 61156126, 85786520, 26014536, 87331021, 161036725, 67955405, 74241463, 7672005, 17500540, 170494141, 66967279, 108112636, 64474081, 2107739, 10055390, 1458003, 45707552, 4770883, 49728761, 20876282, 42822182, 11128502, 17668011, 11661511, 2585693, 6787830, 146429509, 38454805, 100297601, 60945208, 132671862, 14473317, 77230410, 629887, 24766906, 67433929, 71345950, 23136344, 129190688, 143590005, 15135950, 21518044, 28854300, 7492623, 33788022, 19222845, 4982726, 5232805, 5674697, 16177529, 46092521, 15616914, 61104428, 42387154, 48659214, 104774504, 80779588, 97192778, 3828703, 43313435, 271263108, 63829230, 31533926, 18245555, 17980645, 8214768, 269228986, 313162, 4778538, 9219250, 71842913, 7574241, 43942944, 26822988, 6464083, 127334072, 134096834, 2418077, 194455763, 61077805 ], [ 186591745, 46578707, 40672129, 25895467, 68797297, 7829423, 81223123, 10728620, 47429823, 25782497, 97336887, 64807957, 6376720, 19811681, 57273016, 97040366, 105901672, 2474606, 82549228, 477735, 20457119, 7191698, 54507159, 34088334, 29317739, 47168326, 141286325, 133600923, 11384301, 6892817, 145809542, 30479417, 6963277, 6952233, 9919743, 158620482, 48222143, 28571661, 23580742, 26723723, 36108440, 7658704, 98787651, 12103200, 24774833, 8738751, 16984205, 68767314, 106295078, 46554062, 16940442, 10030682, 90500402, 28863318, 15695663, 13802806, 42397331, 40797103, 167348523, 21392781, 16921009, 24647788, 33261372, 15008321, 23182152, 23458859, 131606927, 4267729, 30774527, 11128502, 24161176, 403409, 26179740, 12467909, 20588532, 7699156, 142157452, 31532024, 2203688, 1405315, 5989126, 571419, 24766906, 21883622, 132605470, 12526600, 46401478, 17838890, 9489121, 58507506, 7903880, 7492623, 77572742, 19222845, 23155834, 27356758, 33887047, 43573138, 147136638, 11162457, 60341589, 13573695, 60899828, 2842731, 29603894, 47516633, 77177965, 43313435, 8391882, 207455140, 31533926, 152283894, 45877217, 38065860, 54105713, 4615972, 4778538, 9219250, 24346444, 42178418, 195198207, 44842660, 6464083, 43439840, 33164084, 117460110, 171003013, 6315096 ], [ 274333149, 97085922, 91521943, 71795229, 25910147, 270127773, 17837375, 281574122, 47429823, 71013518, 151853792, 55136879, 4691642, 59370111, 23331017, 120952880, 41482183, 44778422, 51287163, 101486490, 69861726, 118009155, 54507159, 227565157, 73055083, 43176167, 147914446, 15707594, 67213595, 21147669, 3901026, 233915584, 39949637, 272245920, 9919743, 280266306, 3361707, 90589342, 5740199, 194479144, 59002310, 178476936, 42335232, 124972417, 141293504, 181581527, 46963576, 262047619, 18974711, 223094416, 27794976, 289882783, 71696256, 8299052, 16043503, 265751510, 179471924, 8221730, 165347182, 16330527, 189633625, 105364194, 166247101, 74046888, 113507562, 23458859, 110304335, 20876282, 17798266, 11128502, 177711558, 73698525, 111539325, 10346753, 432979246, 290814374, 142157452, 71500726, 68933540, 47912511, 45404420, 156045941, 24766906, 26410859, 115654237, 169104979, 134580896, 143590005, 205674685, 164468550, 264713914, 7492623, 112610509, 19222845, 227162778, 140188466, 9904138, 43573138, 110766261, 30702354, 252510467, 13693898, 64410245, 114835017, 18629613, 191618995, 160122026, 30623069, 35164341, 118052943, 335436401, 152283894, 7011301, 132767123, 41599599, 77874438, 64456563, 72218263, 162226585, 94962878, 10094996, 260481653, 85358323, 61205752, 35319667, 83112910, 51346913, 119421134 ], [ 7524369, 69513721, 761466, 51594079, 103090837, 201518730, 81223123, 10728620, 11338106, 66248862, 76229495, 55136879, 22260408, 174118816, 57273016, 115547175, 6108025, 94224087, 110017960, 138673085, 20457119, 183131299, 54507159, 34088334, 15072477, 47168326, 1423423, 46833787, 15553297, 9811063, 68524915, 19256234, 82390790, 30842326, 60574992, 107832548, 64129861, 90589342, 23580742, 34063333, 19096358, 7658704, 181897779, 41882169, 114725056, 5564078, 3890878, 2912447, 92826717, 31194521, 26014536, 86665551, 51243350, 13392175, 23663798, 10654555, 42519407, 34742023, 11163758, 28664221, 144484053, 66316249, 9046008, 48164330, 758187, 65929704, 7930758, 152333880, 30774527, 2154382, 62016920, 128499382, 9399131, 94510671, 74912209, 8928777, 27684402, 121113019, 19353368, 26225179, 5105700, 9480740, 11231871, 45077948, 8841244, 23136344, 61441404, 80573135, 31132900, 21518044, 77874035, 91076460, 77572742, 13411907, 20286424, 5229812, 175153962, 43573138, 172640960, 104335650, 580901, 22447868, 12046729, 2842731, 90687665, 36643396, 22810538, 185295986, 47341948, 94194490, 31533926, 201298714, 79920231, 152417019, 40379885, 801913, 14187457, 41949504, 24346444, 18120576, 32182005, 39880734, 10146449, 85752042, 46350896, 160202209, 2226967, 8385885 ], [ 133767379, 97085922, 132407122, 27543629, 114880887, 7829423, 238987397, 114469987, 503938642, 233495439, 151853792, 74243328, 156771669, 847975946, 50053741, 380783768, 90521554, 148363555, 145452590, 138673085, 48757041, 529249463, 54507159, 548401, 245721669, 228931740, 112493019, 252460297, 98197725, 489068807, 146702589, 118197882, 130629805, 729588850, 93282730, 332735206, 363853877, 55837967, 214321247, 194479144, 112742129, 954246800, 698553779, 107806842, 240558228, 181581527, 112241530, 312310962, 633139131, 92707767, 26014536, 355867530, 111175371, 425945788, 98129014, 453041765, 75648262, 66324518, 18467388, 294779666, 61606123, 12079335, 166247101, 6997805, 664465706, 92367400, 330736840, 505523109, 316606246, 11128502, 13412774, 192822722, 73522015, 272079305, 68690847, 29962433, 563045292, 1374860, 271456991, 934194061, 326524197, 76810185, 283787351, 470947973, 7835358, 183629045, 119891652, 104721923, 112453422, 634545898, 104716695, 282831807, 445591757, 121467512, 60854711, 151646541, 33689536, 43573138, 90706319, 502509366, 531771600, 238168412, 42410573, 207540529, 339984246, 36643396, 54546833, 150803005, 35164341, 354440483, 16988394, 122592176, 47260902, 263617082, 355425503, 77874438, 141586346, 277147071, 357613462, 384429192, 158475808, 342547701, 142662399, 78707398, 349853773, 37640331, 166599077, 158189237 ], [ 157788637, 83328899, 69016695, 68896198, 90281705, 7829423, 157367015, 527077, 47429823, 213330377, 17691765, 74243328, 71615469, 47176492, 70081539, 58463249, 35635354, 148363555, 189088471, 27586892, 141033832, 136179867, 54507159, 34088334, 101437440, 35754145, 54214717, 42352681, 36979083, 720089, 182484876, 152572608, 130629805, 205357831, 9919743, 36362030, 140274632, 183533100, 5242904, 19421974, 67495749, 28263753, 62927217, 13338824, 175006784, 5564078, 46963576, 76628932, 48169770, 5935224, 26014536, 86665551, 51243350, 211551143, 26675367, 13802806, 141092434, 303362362, 11163758, 34215448, 42329344, 86813087, 48914256, 74046888, 104946296, 35065222, 110304335, 20876282, 30774527, 11128502, 53990024, 145048404, 26179740, 14351266, 155837740, 113168606, 3450688, 22464142, 132671862, 11717066, 76332171, 155898256, 24766906, 140116245, 8841244, 12526600, 69289467, 21325163, 6061460, 1586059, 89985895, 7492623, 62562029, 19222845, 23155834, 74175936, 5674697, 20716534, 272014843, 65045025, 129171126, 22447868, 60899828, 132992065, 23382202, 66126466, 14385881, 55492560, 35164341, 61325488, 12308177, 14097061, 34900327, 96753259, 54283146, 2138343, 82300461, 98162149, 2380353, 94962878, 20933357, 67476139, 35652117, 78707398, 30813242, 120708607, 183648095, 75920074 ], [ 82816544, 2248874, 91521943, 278109108, 33277103, 32711496, 81223123, 35571681, 5227323, 16677736, 94819122, 25903025, 22260408, 124250161, 36634874, 64324473, 206066800, 94224087, 68578574, 21811876, 29984501, 46042705, 54507159, 548401, 178110368, 117016792, 231150847, 61290542, 15553297, 6892817, 145809542, 30479417, 52355039, 205357831, 51134334, 107832548, 43257132, 55837967, 204982778, 109689335, 131749997, 23347262, 100705599, 15504371, 157782717, 46947526, 22487531, 2257890, 106295078, 15148201, 74953070, 87331021, 51243350, 28863318, 15695663, 37705224, 20533806, 4032109, 11163758, 137455850, 192253808, 55348376, 33395442, 15008321, 146809914, 23458859, 20160336, 5224622, 16242110, 11128502, 209303228, 16410951, 73522015, 132703814, 68614872, 69681164, 3490129, 2622740, 24397799, 220942899, 12325492, 84345070, 69949614, 152145799, 132605470, 10730416, 59257350, 77803659, 34164230, 73828439, 172646634, 339001165, 8702321, 2279026, 60854711, 5229812, 33887047, 15323433, 17408166, 32328827, 25234297, 18668538, 51029709, 139840833, 83503572, 66126466, 22810538, 43313435, 8391882, 94194490, 4452591, 79397894, 108428132, 102760940, 157498963, 12788432, 123359600, 9219250, 39902837, 7755034, 75063504, 67476139, 17832662, 35781802, 238374472, 166270172, 183648095, 150020548 ], [ 74827819, 79257412, 55982070, 151683100, 127379927, 7829423, 157367015, 30391140, 47429823, 13939513, 56199017, 5257107, 71615469, 190006231, 41806433, 163994788, 16975223, 98899661, 51287163, 40299525, 9367199, 7191698, 54507159, 40505390, 15072477, 6968936, 103891994, 46274253, 10837950, 6892817, 45561505, 153990073, 77892940, 6952233, 9919743, 58541155, 140274632, 37381945, 3926926, 94944082, 161630182, 34708374, 98787651, 30272902, 39853586, 65209862, 46963576, 51412002, 137688660, 46554062, 26014536, 87331021, 91482645, 211551143, 2738498, 11735842, 41396772, 1621307, 13817472, 219198880, 161689465, 64350344, 60638287, 72803949, 22584176, 23458859, 110304335, 313465, 103725896, 11128502, 24161176, 30585461, 2585693, 20330484, 109201147, 116247650, 33333343, 104779021, 10845223, 26225179, 118750294, 59319446, 24766906, 122887002, 22105693, 7244825, 77153737, 13271451, 52984891, 1586059, 39391464, 7492623, 69043730, 19222845, 264493512, 28933106, 148677452, 43573138, 18524312, 32328827, 207472463, 79870237, 60899828, 161356552, 23382202, 66126466, 16100879, 43313435, 8391882, 74005928, 31533926, 18245555, 34284518, 67263112, 52211992, 313162, 1330228, 9219250, 69602960, 17994755, 20933357, 15816928, 38535377, 3053059, 30813242, 45228415, 32505446, 75920074 ], [ 123876081, 78066515, 20551867, 157120283, 127379927, 7829423, 81223123, 269223761, 11338106, 71013518, 90727565, 39166766, 34739738, 174118816, 57273016, 163994788, 123300023, 98899661, 36161704, 58479207, 20457119, 358015242, 52292132, 1526538, 79409986, 285087, 17558543, 4925485, 67213595, 147522623, 56364034, 27206943, 92420806, 110049996, 12399126, 45574469, 130204402, 119245728, 118631898, 8352151, 183119693, 124550739, 114412716, 114315668, 176820442, 52150253, 157949241, 39783660, 61477754, 25685213, 26014536, 2004812, 70483957, 37635859, 26675367, 28456575, 3149179, 51210683, 14648640, 85967173, 20121294, 29150553, 29004805, 23951579, 67393371, 75272141, 53084657, 12512447, 103725896, 11128502, 126676667, 23681261, 1721996, 79340838, 33384915, 64300191, 204290588, 43988455, 95255415, 1468693, 63506446, 287161794, 53163448, 122482600, 32908317, 6751879, 31450107, 116548344, 20337306, 1586059, 54725389, 35465370, 69043730, 19222845, 15727200, 5232805, 88626957, 43573138, 82295585, 107851903, 177956825, 79870237, 60899828, 70765441, 23382202, 60881301, 10649052, 21571738, 35164341, 129006254, 31533926, 192735838, 34900327, 30976493, 16976829, 23804545, 14187457, 135279616, 79851375, 52601536, 10094996, 67476139, 16495596, 4241466, 30813242, 86728952, 163921084, 8385885 ], [ 73278332, 63759794, 91521943, 64949304, 68797297, 7829423, 81223123, 73257812, 11338106, 74688017, 119367130, 1616244, 16948464, 59370111, 57273016, 51541240, 105901672, 98899661, 6714184, 30671516, 4830115, 22501222, 7097485, 34088334, 15072477, 52742031, 202725313, 64319805, 85673659, 6892817, 2273841, 48525486, 77263520, 19490018, 9919743, 152391453, 12328146, 158934522, 123466888, 109689335, 169261741, 251925324, 49905013, 52687771, 239972320, 181581527, 189265237, 4596287, 101150932, 147982748, 26014536, 86665551, 51243350, 30969210, 5206059, 86751626, 179471924, 60442642, 11163758, 16330527, 413388754, 163526627, 33261372, 14829313, 133278352, 23458859, 9903185, 8938560, 94420609, 8937545, 58691418, 73698525, 44361247, 12467909, 34106109, 33474956, 172487966, 203850611, 19353368, 26225179, 36187766, 11589281, 205135835, 118273612, 143101784, 23136344, 143989921, 143590005, 20846534, 5362144, 15228439, 7492623, 112610509, 19222845, 26139271, 140188466, 67645718, 43573138, 272014843, 65045025, 31953348, 23230623, 12279330, 293679750, 130126005, 150049881, 30097089, 43313435, 8391882, 141235402, 49793696, 64565523, 34900327, 259420844, 151993672, 162911, 4778538, 9219250, 139842913, 94962878, 32182005, 67476139, 6464083, 226294482, 223441742, 111813541, 57156642, 8385885 ], [ 101920648, 15868218, 91521943, 81674141, 60946553, 32711496, 81223123, 117287956, 5863279, 192202135, 105680443, 74243328, 1954083, 190006231, 104859865, 64324473, 70047183, 98899661, 51287163, 12230160, 29984501, 66223794, 52292132, 227565157, 202015670, 117016792, 17558543, 31043805, 11384301, 6892817, 145809542, 30479417, 82390790, 19490018, 9919743, 25947818, 43257132, 320441286, 10899413, 26723723, 36108440, 6727927, 34271604, 45341313, 31988550, 126359690, 18263058, 282313100, 79187697, 85786520, 26014536, 36602426, 51243350, 109805241, 15695663, 13802806, 80367055, 62399505, 11163758, 37539156, 294334861, 66316249, 14724011, 15008321, 56731380, 23458859, 14473875, 4267729, 16242110, 11128502, 58691418, 16410951, 26179740, 6787830, 146239943, 34099829, 194068910, 170331747, 29004799, 10251915, 76332171, 74951474, 205135835, 12665720, 203993, 12526600, 69831799, 97802999, 127384890, 21518044, 28854300, 7492623, 28739419, 19222845, 26139271, 48587198, 67645718, 43573138, 293895509, 81208466, 25234297, 16196603, 27030575, 132992065, 29603894, 58838564, 2331077, 2028917, 8391882, 167712696, 29484907, 152283894, 108328295, 102760940, 62580881, 10016353, 17784397, 9219250, 24346444, 94962878, 193543001, 207669906, 6464083, 83662980, 26256355, 166270172, 11173965, 6315096 ], [ 26672115, 78062258, 91521943, 27543629, 133030754, 7829423, 34944369, 10728620, 11338106, 43540580, 135026510, 1616244, 34019496, 63070458, 28350881, 63370014, 60885450, 94224087, 51287163, 58913346, 34747054, 56678690, 54507159, 34088334, 15072477, 34039240, 147914446, 38407563, 36979083, 6892817, 88277132, 25499364, 25166883, 38198900, 9520884, 194540554, 140274632, 119602523, 9985536, 15812072, 52161742, 74514401, 17055804, 67110770, 17529504, 181581527, 46963576, 100020770, 25714548, 85786520, 26014536, 34919595, 71529345, 10967032, 115547, 13802806, 107199860, 10537101, 26836444, 50332865, 98492231, 14572170, 166247101, 2559906, 161047259, 4770883, 2235822, 27726575, 82022741, 11128502, 35910822, 28228757, 26179740, 110860078, 20672687, 87563128, 20142475, 22464142, 169109617, 26225179, 76332171, 19213264, 11914058, 69267781, 7835358, 12526600, 63113378, 58095686, 36523646, 11347502, 28316288, 7492623, 6003744, 19222845, 25784813, 99126886, 63753642, 20716534, 211593981, 81208466, 25234297, 22447868, 12279330, 59285398, 51603924, 61073379, 22810538, 43313435, 8391882, 142664597, 31533926, 152283894, 17980645, 132767123, 8209036, 77874438, 3207842, 9219250, 24346444, 13953635, 54420224, 30318355, 35652117, 81277898, 31733661, 45297224, 6416480, 8385885 ], [ 72270168, 105671422, 40672129, 71004110, 136245013, 20526962, 175708458, 2963064, 47429823, 16677736, 16792205, 60680714, 11473137, 20865873, 57273016, 41574475, 74500596, 95554627, 93732676, 15412135, 29848094, 7191698, 54507159, 38576199, 31594113, 23127830, 1271261, 174815710, 36979083, 9811063, 2683954, 20960442, 6963277, 6952233, 9919743, 100200947, 41802657, 2362921, 23580742, 55155419, 10530792, 74514401, 8121061, 17925071, 35045599, 55750092, 46963576, 38078864, 28791263, 117902733, 26014536, 10030682, 63144073, 15889489, 26675367, 1166550, 42397331, 8221730, 26836444, 21392781, 551021, 14572170, 131219860, 2055872, 91914071, 23458859, 2235822, 121142618, 21421655, 11128502, 24161176, 1932616, 2585693, 118429636, 20588532, 51136416, 687837, 153382927, 139933448, 108979105, 45404420, 19213264, 24766906, 45077948, 127956508, 12526600, 18630531, 33878282, 111903470, 73828439, 7903880, 7492623, 77572742, 19222845, 25784813, 28933106, 107134989, 43573138, 8215086, 35026711, 204360838, 22447868, 48659214, 19316330, 25222102, 66126466, 2867946, 108813166, 34221970, 39156272, 12880145, 5323311, 34900327, 75222315, 115892500, 2138343, 64456563, 160990035, 24346444, 13953635, 20933357, 74240720, 12531957, 35781802, 77755570, 90095880, 39011870, 75920074 ], [ 357337371, 22529708, 40672129, 3437469, 66229473, 135396062, 63043790, 281574122, 6201473, 110304810, 150685462, 74243328, 219194791, 95332333, 110893269, 118568550, 23745391, 27986466, 211954481, 15885867, 67265936, 143281997, 53372789, 34088334, 52994554, 84369300, 36571946, 41069549, 4139590, 21147669, 127661459, 25499364, 130629805, 187451739, 61407857, 41163899, 85660278, 40868671, 212380850, 194479144, 85422202, 9182292, 114412716, 124972417, 7150152, 10151165, 271065143, 39623712, 28791263, 89121664, 174675622, 10030682, 158992201, 49755262, 17366602, 29246001, 62931609, 10537101, 14648640, 221127417, 33571690, 22146385, 140778873, 29645828, 155140910, 23458859, 107754139, 20876282, 126249523, 11128502, 56707124, 57092899, 349597516, 20330484, 20588532, 169159421, 111702866, 45311197, 42791857, 19249411, 15792882, 38795255, 18216872, 140116245, 42160984, 23136344, 2672595, 33362926, 37381039, 3582477, 101744322, 24016325, 20417441, 19222845, 97838497, 32517744, 113461032, 43573138, 180240751, 67418016, 279301716, 381798005, 17221490, 206254640, 164429909, 175026777, 22810538, 143015673, 34714145, 158532131, 181970440, 364519396, 8644839, 169621442, 156949882, 77874438, 14187457, 23286481, 162226585, 635348, 7805551, 5906222, 41935158, 23454590, 169299943, 24738612, 54663602, 56756203 ], [ 50473785, 75324996, 42205187, 68786783, 1259187, 14967880, 40798206, 117487708, 47177624, 59224995, 42522121, 28429720, 1954083, 12265261, 15046430, 79205732, 148249129, 148363555, 5312691, 7746017, 8844294, 91967100, 21952611, 38418940, 4836413, 43176167, 17558543, 46274253, 4139590, 6892817, 50069238, 37980700, 130629805, 73643258, 9919743, 23790152, 94017613, 56882824, 60575621, 36700884, 1692936, 100377335, 42794805, 124972417, 29412318, 41088252, 22487531, 76628932, 58222733, 83200726, 26014536, 87331021, 48107050, 15889489, 15695663, 1166550, 75770217, 6088663, 14648640, 256824057, 67373874, 163526627, 131219860, 27329795, 124951231, 23458859, 40681939, 11729070, 70857863, 8937545, 56707124, 104722467, 26179740, 3573302, 33384915, 29962433, 158458283, 75620856, 34323643, 19249411, 4623184, 2295981, 74513617, 67092251, 12184028, 9750518, 64246602, 32438638, 15135950, 73828439, 1357031, 7492623, 41233253, 19222845, 15727200, 46520107, 44055985, 16177529, 26411500, 57794237, 185598045, 22447868, 64410245, 12349022, 72897046, 13251962, 22810538, 20077689, 8391882, 244570156, 26595740, 17892411, 34900327, 8214768, 9620015, 12788432, 14187457, 9219250, 24346444, 83135938, 89371880, 20750769, 43406717, 49524043, 127778075, 142619239, 33579362, 48717363 ], [ 109980464, 97085922, 91521943, 240204455, 21263892, 254352925, 30403408, 56406950, 19659241, 163151050, 103938747, 74243328, 224762023, 9125850, 49382248, 362299268, 193818367, 172427112, 34562533, 254367116, 20349680, 50687754, 16966059, 34088334, 17154027, 130524507, 30126758, 89470205, 85673659, 21147669, 91018882, 17656247, 130629805, 19423450, 280952814, 73829747, 131272334, 180260944, 212380850, 71854774, 188043164, 126272823, 115562724, 53321096, 37033709, 41088252, 84757146, 142584450, 6080285, 238329462, 174675622, 17067399, 204190093, 44177979, 86803243, 117750851, 73492621, 15770687, 14648640, 37373580, 67373874, 22146385, 125076176, 6966118, 31765732, 23458859, 131606927, 302345288, 43132331, 11128502, 370757357, 89340602, 39672421, 164001057, 22909466, 130533806, 60974175, 83060934, 95255415, 220942899, 287804724, 176262770, 176688449, 1344540, 32855580, 23136344, 20726289, 143590005, 194049742, 12571134, 193883785, 17197063, 26591430, 19222845, 30924793, 21673371, 67706453, 43573138, 26411500, 81208466, 229021523, 106473325, 64410245, 124562539, 164429909, 116109007, 3435798, 26437147, 35164341, 246849170, 175603418, 64233309, 22799841, 160316755, 44866305, 77874438, 14187457, 107331995, 57381738, 33337221, 73486107, 20750769, 132298001, 55891943, 235304858, 20175365, 67751515, 39210374 ], [ 82163072, 8330499, 20551867, 4208636, 81271257, 1230869, 81223123, 41655514, 11338106, 16677736, 119367130, 69354034, 79764535, 21748381, 44876244, 138135847, 18518610, 98899661, 20495823, 28941804, 27516842, 46042705, 49257403, 26586531, 8151623, 21434280, 29073732, 5573208, 4139590, 21147669, 145809542, 94146601, 28190702, 61760852, 22427269, 107832548, 15948992, 40163863, 131021875, 194479144, 30038884, 17280545, 225357446, 107806842, 99971909, 10151165, 4320918, 18480267, 616311, 85786520, 26014536, 87331021, 231502, 21139736, 17366602, 10654555, 17500540, 57345974, 14648640, 31897130, 61606123, 37408271, 33395442, 17485048, 86122465, 23458859, 9901112, 116873020, 50326426, 11128502, 81048222, 185282636, 104330210, 6787830, 14203206, 38454805, 70341169, 183581583, 95255415, 19249411, 66617094, 629887, 24766906, 62624780, 6313052, 23136344, 71541590, 104721923, 52424576, 73828439, 119485024, 22495754, 23401976, 19222845, 97838497, 5229812, 37119810, 5567090, 90706319, 32328827, 61104428, 44820657, 22173503, 13618800, 10664629, 2904225, 118407478, 79723523, 35164341, 48503409, 8198026, 287829858, 61107429, 13069568, 3875981, 77874438, 14187457, 98162149, 6556908, 83135938, 7805551, 41366575, 87110961, 35781802, 161201582, 43081569, 50858149, 8385885 ], [ 12105639, 52174905, 70238126, 85872254, 121690761, 36543988, 78995092, 220403740, 40835386, 9112027, 81851524, 55136879, 12314644, 3626888, 7507939, 120030736, 7619152, 30826342, 89692788, 12230160, 17088587, 2159047, 54507159, 34088334, 4836413, 34974794, 10281903, 82291641, 4139590, 18419991, 32318278, 59312798, 46035848, 121975279, 14959481, 180270267, 71870895, 52916695, 189066253, 14931613, 664293, 17280545, 84751845, 11997696, 7150152, 54717488, 30728137, 34147800, 27658597, 85786520, 26014536, 87331021, 89133624, 46310597, 64904060, 34478100, 75648262, 67392072, 6537616, 31897130, 43176819, 187510098, 131219860, 4081438, 758187, 23458859, 131606927, 54019676, 63046026, 11128502, 23577725, 93778652, 2585693, 6787830, 164838577, 17535400, 94950076, 31343280, 22081072, 19249411, 49030490, 3326017, 24766906, 45077948, 353645532, 23136344, 27261833, 34967058, 37520657, 1586059, 88124708, 28532894, 20417441, 19222845, 17551062, 224424277, 37119810, 43573138, 34881830, 47319598, 24868546, 79870237, 42410573, 114835017, 23382202, 58838564, 3435798, 131335163, 35164341, 70210008, 8770051, 18245555, 60610786, 13069568, 76119319, 30217700, 14187457, 29735987, 57381738, 38250616, 49545066, 67476139, 165529193, 12797032, 30813242, 59642193, 39011870, 4643354 ], [ 145989195, 22733343, 113505080, 311917730, 68797297, 7829423, 123781816, 65632207, 47429823, 29228684, 113762687, 55136879, 13339632, 88524018, 50053741, 185523082, 98507634, 46687526, 35540374, 101293469, 1549220, 269777730, 54507159, 17249292, 21710163, 47168326, 129427139, 41280650, 56161860, 258590963, 71533032, 48525486, 130629805, 447595190, 9919743, 100200947, 15948992, 44864145, 131021875, 77947212, 105440318, 19494935, 861081, 84396464, 56922905, 181581527, 46963576, 5528881, 2181073, 60223950, 26014536, 78383290, 132163347, 11865493, 74241463, 138335418, 179471924, 16554496, 14648640, 1753138, 64474081, 53945050, 26387276, 21942070, 135784412, 152204219, 141534398, 77917987, 15266253, 11128502, 177589848, 339341568, 52409843, 148077665, 131873003, 68673199, 94711742, 176216109, 66253509, 78924209, 223411695, 91258289, 23898966, 531061205, 228786462, 23136344, 143989921, 24270387, 19474049, 73828439, 207822577, 7492623, 219572201, 107430548, 37359878, 22107941, 26063013, 43573138, 34881830, 6497371, 115905528, 486796288, 48659214, 33373381, 144518331, 169419285, 14861593, 61759250, 35164341, 52717023, 151414720, 70105411, 108892514, 91196093, 7083149, 1662263, 4778538, 49855642, 84610770, 94962878, 166319015, 18566907, 142662399, 26360565, 49009480, 83112910, 17421159, 69968347 ], [ 32100356, 30204293, 1130650, 157663952, 73976969, 7829423, 108092179, 121415900, 47429823, 75644529, 190912266, 12235856, 71615469, 20865873, 50053741, 79205732, 75860867, 71495555, 51287163, 40620308, 115829180, 45845130, 54507159, 34088334, 31517016, 40989572, 273758191, 46274253, 10837950, 6468675, 2683954, 17945446, 130629805, 231859916, 9919743, 186045798, 85660278, 103190083, 110155120, 37153598, 664293, 9182292, 98787651, 81095036, 72696302, 805855, 30728137, 26167072, 137688660, 31107945, 26191876, 94130647, 4386949, 181155087, 74241463, 34775875, 99035310, 9172162, 11163758, 219198880, 229137598, 48287149, 38504136, 48164330, 56190906, 7498232, 110304335, 20876282, 114870372, 11128502, 65080746, 104722467, 73522015, 18583904, 20588532, 116247650, 1375471, 75620856, 10845223, 7071017, 118750294, 99339, 24766906, 109713509, 70291863, 9750518, 61441404, 34969278, 86407857, 25413000, 1514068, 7492623, 67093881, 19222845, 17551062, 17551832, 48653584, 43184542, 220643623, 147176674, 107737063, 412709046, 64410245, 96206678, 76955315, 49585405, 22810538, 238510339, 118933817, 70210008, 31533926, 78670385, 1250663, 97878312, 52140631, 77874438, 9365050, 40852146, 65373577, 94962878, 193466779, 76350134, 85358323, 210101851, 106760522, 186440414, 77804849, 46835336 ], [ 36165227, 97085922, 43139594, 12188462, 125013236, 75104220, 115046075, 315969607, 11338106, 437778517, 151853792, 55136879, 272546140, 75666424, 404779747, 256542786, 73125700, 380817300, 51287163, 183665205, 274219147, 46042705, 54507159, 548401, 81649881, 47168326, 202725313, 2566108, 408644154, 68414272, 182484876, 279306554, 39949637, 272245920, 93282730, 22598478, 140274632, 55837967, 382964463, 101321538, 161630182, 39668587, 49905013, 124972417, 114725056, 72681927, 46963576, 82593977, 158281515, 92707767, 2048361, 206939745, 111175371, 211551143, 74241463, 34775875, 48212736, 71019915, 14648640, 186875839, 2470016, 163526627, 166247101, 48164330, 745699, 65929704, 292985123, 121142618, 290878, 11128502, 65080746, 104722467, 349379399, 28358421, 443386179, 277775055, 142157452, 107055693, 95255415, 108979105, 194619951, 23484188, 24766906, 289650758, 7835358, 757017, 71250027, 143590005, 52984891, 148005474, 894842636, 114032897, 281226719, 127285520, 264493512, 135808020, 64732764, 43573138, 155275100, 32328827, 229021523, 292329429, 64410245, 114835017, 373500289, 134518649, 160122026, 55990207, 35164341, 594161894, 175603418, 183208713, 47260902, 160316755, 5902982, 77874438, 14187457, 429083969, 245141266, 51565532, 105648214, 307529211, 496410535, 78707398, 2639418, 41984020, 86532592, 8385885 ], [ 5468845, 22529708, 21464014, 80487212, 33277103, 143297716, 19233415, 109828263, 110370818, 22783534, 151853792, 12235856, 71615469, 66481109, 116145169, 45231480, 214930317, 134271727, 113300972, 56392526, 19661620, 39442147, 54507159, 34088334, 15072477, 19474705, 236527341, 75995835, 36979083, 9811063, 182484876, 23768020, 5807442, 84314686, 9919743, 23372866, 85660278, 89144543, 159849719, 101321538, 85422202, 124550739, 2411081, 13344072, 114725056, 19310705, 96557304, 5528881, 12272967, 31194521, 23690607, 74487567, 7510828, 13392175, 17366602, 13802806, 90633806, 155814103, 14648640, 129046407, 2470016, 163526627, 10630934, 48164330, 745699, 8767110, 107754139, 59124870, 80335514, 11128502, 22704879, 154347737, 15138821, 94510671, 20588532, 238770979, 33487550, 25014687, 95255415, 10251915, 139742705, 19213264, 93224471, 36315580, 254069209, 23136344, 53873620, 143590005, 21984310, 73828439, 132045118, 7492623, 8702321, 19222845, 25784813, 168653519, 175153962, 15323433, 155275100, 63858491, 77797544, 22447868, 64410245, 33373381, 63925694, 28337482, 47583747, 238510339, 35164341, 116167640, 21326804, 62231878, 108892514, 160316755, 44866305, 71561743, 6292514, 124897552, 24346444, 94962878, 51613150, 39880734, 97906303, 67371950, 52693652, 41984020, 32505446, 46835336 ], [ 101920648, 97085922, 27156500, 166278161, 125013236, 7829423, 81223123, 24139189, 47429823, 258548849, 151853792, 55136879, 8799657, 307610120, 2130868, 15234823, 98507634, 148363555, 51287163, 138673085, 20457119, 46042705, 54507159, 34088334, 133564468, 46559750, 10138301, 37859035, 4139590, 21147669, 36342808, 30479417, 26409604, 241643792, 126871329, 136353343, 1495963, 90589342, 108183414, 94944082, 1011792, 27908541, 49905013, 124972417, 106716463, 169636869, 46963576, 82010730, 36574626, 46554062, 26014536, 35913558, 246096465, 211551143, 74241463, 28456575, 24442330, 7865970, 9761420, 279690392, 203408399, 149251057, 12762726, 48164330, 189214701, 138530312, 37979439, 248947746, 174174712, 11128502, 200699503, 104722467, 129111987, 60270550, 155580489, 33677359, 142157452, 55451337, 987403, 19249411, 208530050, 10158467, 24766906, 61570503, 32908317, 23136344, 143989921, 143590005, 52984891, 21518044, 101997990, 9079603, 79013565, 206525372, 264493512, 130114590, 113461032, 43573138, 272014843, 32328827, 29311789, 218835269, 64410245, 114835017, 19451382, 27591677, 22810538, 173777411, 35164341, 203150444, 131121480, 35473449, 81902309, 30945225, 60708013, 40457437, 14187457, 119569578, 65373577, 54984263, 193868382, 277962867, 117498329, 4241466, 33594742, 196016036, 54663602, 158189237 ], [ 41668662, 75324996, 20551867, 80487212, 78218248, 55262819, 43581217, 154124659, 65730728, 113450913, 42522121, 4769481, 36188612, 82164340, 49382248, 24380805, 195704939, 148363555, 5312691, 56392526, 29984501, 145346425, 54507159, 34088334, 42438042, 43176167, 10138301, 75995835, 85673659, 21147669, 32318278, 80293934, 111407, 187666223, 36406136, 181488963, 85660278, 12448949, 143721966, 101321538, 13774441, 149196458, 175215195, 25742762, 43287454, 72681927, 84757146, 145062040, 46946785, 326922719, 26014536, 66035076, 72699474, 302464245, 2738498, 10654555, 3093796, 64185138, 14648640, 45847507, 20121294, 51804664, 33395442, 43344770, 25872681, 118351178, 21391944, 57702952, 36603489, 11128502, 22704879, 9096854, 43998752, 118429636, 20588532, 20996198, 27540592, 4232416, 95255415, 1081391, 276712161, 629887, 54757914, 331726517, 12184028, 23136344, 56588923, 134674203, 69036259, 73828439, 192070201, 48008163, 20532104, 19222845, 79091183, 177986462, 67706453, 43573138, 230720224, 108053240, 266717107, 9498304, 64410245, 9406010, 148062336, 4696912, 74355201, 8434926, 35164341, 130074440, 31216632, 57043443, 93898343, 30976493, 45340032, 23804545, 14187457, 107331995, 141767675, 14662834, 50958776, 36021202, 35620268, 78707398, 124456633, 306629280, 183815103, 4518063 ], [ 24568957, 61406055, 40672129, 106844904, 98494028, 105903075, 70076556, 10728620, 47429823, 169121031, 148654513, 20455099, 83150818, 19215934, 23331017, 97040366, 49526713, 68281884, 186740399, 59414819, 29984501, 163633801, 16621108, 34088334, 21710163, 3834772, 149956506, 167805931, 16651970, 21147669, 45865957, 94089, 68623986, 1422517, 126871329, 107832548, 15948992, 181964479, 23580742, 69057047, 664293, 24608836, 301610627, 24447404, 211814696, 10151165, 13451784, 5528881, 137688660, 60223950, 26014536, 10030682, 19687548, 28922729, 74241463, 10654555, 121663899, 355559232, 32937631, 59005356, 18475382, 40126632, 33395442, 47980771, 133278352, 23458859, 12653804, 121142618, 26803841, 11128502, 58691418, 119400398, 65806434, 12467909, 20588532, 187909127, 59439949, 185524520, 176502829, 49279826, 76332171, 92934686, 24766906, 131068869, 120283677, 23136344, 77714243, 10605098, 36523646, 27251218, 28854300, 47568543, 23401976, 162404099, 17551062, 5229812, 67645718, 43573138, 114793140, 3962925, 68935218, 15764238, 22173503, 33373381, 109295565, 36643396, 22810538, 46902796, 35164341, 94194490, 808038, 118681825, 93898343, 96753259, 15882741, 77874438, 5434082, 240264722, 39902837, 22717768, 7805551, 76350134, 6464083, 61205752, 223441742, 52714874, 15170477, 28598678 ], [ 157825011, 25627318, 40672129, 74511019, 33277103, 169116613, 81223123, 49257825, 34958400, 85692249, 151853792, 28429720, 24388200, 39131541, 36634874, 90122858, 18518610, 102060070, 29159332, 122806790, 29984501, 42680527, 54507159, 174519078, 8151623, 6968936, 16674892, 8874972, 4139590, 21147669, 32318278, 9752379, 57360822, 187451739, 9919743, 47921627, 85660278, 57957112, 110155120, 57103513, 108687630, 10259202, 80885695, 53333722, 24402478, 181581527, 4572319, 116347183, 49456256, 112612480, 26014536, 10030682, 12789386, 115206435, 47110452, 30363827, 60099731, 57345974, 14648640, 9555816, 17639151, 24647788, 33395442, 30078803, 109520349, 9567324, 40681939, 3498867, 5540953, 11128502, 1927362, 81391259, 14400624, 16099353, 20588532, 9022882, 43017344, 22464142, 49381587, 19249411, 5989126, 70360465, 20519188, 61282264, 32805598, 23974405, 192082432, 84534261, 89091032, 45315856, 1357031, 7492623, 8702321, 19222845, 103334957, 28353269, 67706453, 15323433, 230720224, 43131140, 207472463, 15764238, 21893811, 30781945, 76268170, 14911725, 46887196, 27898546, 20953012, 13010805, 26595740, 109796449, 1250663, 2587839, 39898771, 26406378, 1330228, 9219250, 46437999, 7574241, 73486107, 21215426, 35652117, 78707398, 278989600, 51706520, 54663602, 29744722 ], [ 40984537, 73957937, 40672129, 34303783, 1652868, 28894997, 32605808, 19566613, 43804071, 23728819, 23258688, 55136879, 8799657, 146253138, 117274030, 37282989, 18518610, 38962993, 67004930, 30671516, 265060075, 57463948, 54507159, 106828429, 8151623, 31664441, 45913619, 46274253, 33990150, 21147669, 88277132, 32389532, 33588870, 528225, 115003938, 8766403, 1495963, 3966872, 8739141, 26723723, 36108440, 67817679, 4528959, 124972417, 57221722, 49281557, 17445992, 5528881, 28791263, 82220011, 6062175, 10030682, 12789386, 14150619, 13473130, 47073719, 5019759, 7865970, 14648640, 47817589, 175343843, 48287149, 33261372, 2559906, 2663878, 139010614, 69275328, 3498867, 25132237, 11128502, 22212330, 64786164, 101472557, 8095366, 11061698, 33677359, 69710786, 4232416, 59842394, 37847147, 34159485, 24631454, 24766906, 70344474, 87791324, 23974405, 29820822, 34969278, 11477008, 36779275, 80840211, 180599507, 112758985, 2279026, 23779140, 5232805, 26290681, 27358281, 17408166, 85529455, 39021146, 75084956, 64410245, 28666453, 16539226, 20484802, 22810538, 63785001, 23647135, 34263153, 49678368, 19797370, 4268130, 30945225, 31953956, 77874438, 643623, 81390818, 113306146, 8232945, 43750419, 10647933, 85358323, 106959534, 5970149, 44785241, 28762209, 35772956 ], [ 153523693, 9676401, 16012656, 74511019, 68797297, 7829423, 81223123, 11122756, 27104065, 43540580, 19971613, 60052903, 71615469, 12265261, 57273016, 39070086, 18518610, 48669674, 14482665, 18521608, 1549220, 34918793, 54507159, 34088334, 4836413, 47168326, 178082720, 9297054, 4139590, 11289164, 3600188, 53197685, 8063957, 19490018, 9919743, 45112119, 40104047, 39448732, 64238106, 5676693, 881162, 39668587, 42794805, 52801849, 7248455, 96005939, 46963576, 106302660, 73431428, 77690636, 3491132, 86665551, 12463154, 67955405, 28838023, 29246001, 7851522, 9884510, 14648640, 269746, 16397743, 157470458, 33261372, 12197004, 130336487, 8767110, 89643613, 20876282, 25329720, 11128502, 1316220, 78631025, 104330210, 12467909, 27303075, 9022882, 142157452, 106836667, 10845223, 1081391, 35219218, 51068483, 16703008, 67092251, 85649369, 23136344, 18630531, 15301898, 11551154, 73828439, 28854300, 7492623, 15495188, 19222845, 163698341, 49189676, 5674697, 43573138, 8006431, 32328827, 156622523, 9498304, 21249530, 112236543, 29302881, 4696912, 22810538, 14415215, 32211393, 54563974, 16703320, 2799629, 1250663, 91196093, 62580881, 10016353, 4778538, 135494762, 5548202, 83135938, 51613150, 67476139, 6464083, 78707398, 294728133, 32393783, 51371230, 8529667 ], [ 24568957, 21603521, 21330488, 96597209, 136245013, 36543988, 54149084, 9308655, 9791305, 134695259, 23414985, 34418119, 71615469, 6355329, 23609316, 66664621, 58250322, 143954271, 2576077, 25067792, 30237206, 133082262, 54507159, 34088334, 35039571, 455495, 16674892, 143192, 4139590, 9811063, 17851763, 48525486, 5807442, 18212595, 9919743, 79437895, 63462593, 147319815, 123466888, 26723723, 9244938, 10259202, 51348534, 52687771, 24402478, 10151165, 22487531, 70548854, 662620, 89121664, 26014536, 74487567, 17079301, 49755262, 28838023, 13802806, 107804178, 46697041, 11163758, 108112636, 37791539, 24647788, 134869973, 48164330, 4695700, 23458859, 23660337, 11729070, 5540953, 8937545, 22704879, 3453250, 26179740, 12467909, 55101405, 54939482, 14365568, 64227072, 19353368, 19249411, 73122758, 33612121, 16703008, 45077948, 12184028, 4804257, 62842898, 143590005, 108390701, 30711612, 28854300, 7492623, 23401976, 19222845, 26139271, 5232805, 5674697, 33673721, 8006431, 72167454, 105816841, 22447868, 22173503, 57517191, 29603894, 42055225, 22810538, 43313435, 35164341, 32374050, 49678368, 152283894, 72306659, 53501082, 3662869, 12788432, 14187457, 9219250, 24346444, 7574241, 7805551, 9601057, 6464083, 12797032, 55241413, 186745014, 9597562, 107971872 ], [ 104428133, 21603521, 91521943, 43872504, 25910147, 40973151, 3430408, 69698506, 241619283, 71013518, 71647099, 7556272, 79737089, 75666424, 208153258, 201684345, 30147925, 29466415, 180875844, 18521608, 11820343, 142843678, 54507159, 34088334, 37152414, 11240945, 22853199, 68734653, 24268839, 21147669, 74237613, 94136485, 13784895, 410299195, 140114885, 22598478, 204818229, 58349920, 41352778, 217261280, 11142073, 13424672, 374018, 108809147, 166605720, 115740886, 10632330, 1654470, 137688660, 41380616, 11269533, 87331021, 39235449, 21778984, 2219404, 34775875, 67244684, 61674512, 38478205, 107999134, 137469791, 96510512, 77787201, 2559906, 124138703, 18739582, 104401666, 28585189, 24226835, 36641520, 65080746, 6038789, 114289760, 23979571, 1476990, 111852234, 69710786, 62078491, 202824160, 47797032, 177107913, 26621193, 16703008, 99854249, 340640536, 23136344, 5991076, 34969278, 176370436, 45315856, 7890268, 8445372, 44685794, 19222845, 31924856, 48594798, 17913797, 27358281, 30547542, 151170691, 12257796, 15201803, 40716575, 45604251, 18629613, 215482462, 22810538, 153418452, 23647135, 3674981, 62617390, 33933193, 38896867, 3457816, 38665673, 12788432, 82120462, 26257979, 147746789, 11520981, 98344, 67476139, 36401213, 78707398, 38115983, 83112910, 84965892, 13783201 ], [ 36165227, 97085922, 9024081, 87376927, 33277103, 7829423, 37985077, 69698506, 148492239, 3065645, 124467647, 53213918, 71615469, 244158965, 64123445, 314101233, 30147925, 49225769, 51287163, 46032413, 103338986, 260466531, 54507159, 92954559, 397432195, 169678791, 257462446, 95255271, 4139590, 21147669, 216228118, 113228565, 130629805, 90961544, 9919743, 180270267, 102759645, 68283976, 41352778, 194479144, 23585595, 458789125, 98787651, 93323456, 33962363, 181581527, 293546, 5528881, 12123139, 223778508, 33218703, 87331021, 51243350, 20368534, 55289039, 58139901, 3645168, 105927188, 11163758, 98276767, 20121294, 97305873, 72714146, 13380898, 77097147, 152204219, 122546032, 287071428, 173222910, 11128502, 92524893, 104722467, 259898495, 28358421, 159096611, 10779156, 132205326, 369277378, 95255415, 19249411, 231732760, 19882501, 35356550, 56691302, 6163357, 23974405, 5991076, 143590005, 48669013, 73828439, 20713984, 7492623, 8702321, 428031933, 264493512, 19719059, 29930575, 15323433, 90592787, 9350717, 180219892, 16886895, 64410245, 28666453, 3452385, 45849850, 22810538, 125619365, 35164341, 59939268, 72369289, 152283894, 108892514, 30976493, 221344878, 23804545, 6574679, 40852146, 162226585, 34438843, 96478076, 67476139, 46326520, 49802344, 188905319, 492306184, 54663602, 59881781 ], [ 63235793, 39478371, 9024081, 1308374, 136245013, 7829423, 81223123, 20306099, 198506469, 43240855, 24054309, 1616244, 40120084, 307610120, 23331017, 24770995, 72713629, 122407785, 5312691, 60753753, 17088587, 3747843, 54507159, 34088334, 4836413, 119934729, 117283546, 31043805, 4139590, 21147669, 50069238, 94146601, 176707072, 90961544, 9919743, 79424640, 32677055, 100440667, 103651071, 49771719, 183119693, 27522825, 98787651, 25742762, 17526799, 37449118, 90365535, 76628932, 84387194, 2414303, 26014536, 87331021, 161036725, 28922729, 98129014, 7498357, 75770217, 100960322, 14648640, 50233513, 147140775, 11406487, 33395442, 48164330, 14519378, 54528681, 110304335, 12512447, 24083613, 11128502, 89756829, 134418637, 59956362, 60270550, 20588532, 51136416, 307688802, 25369199, 23137451, 19249411, 14969513, 92934686, 53163448, 204831672, 12184028, 23136344, 32180870, 143590005, 42527030, 5080235, 69689975, 7492623, 53375586, 19222845, 15727200, 5232805, 113461032, 43184542, 232708769, 3962925, 3152789, 29693686, 12279330, 161839199, 122915571, 42055225, 22810538, 21571738, 35164341, 39156272, 21670934, 79686694, 1250663, 132767123, 63901679, 77874438, 14187457, 17012003, 102084572, 73708428, 73436961, 67476139, 67065931, 7294342, 167620536, 143613442, 54663602, 4518063 ], [ 6475399, 97085922, 39960801, 1178398, 68797297, 7829423, 24958943, 71961339, 5184877, 14650532, 119367130, 69354034, 8799657, 62120632, 138600072, 24770995, 18518610, 148363555, 35540374, 57523743, 97304613, 41601143, 52292132, 34088334, 2770072, 46559750, 17558543, 31043805, 4139590, 9811063, 131766258, 48525486, 106855627, 19490018, 9919743, 51841478, 32677055, 13704278, 9985536, 26723723, 36108440, 39668587, 98787651, 91651034, 239972320, 37449118, 91975986, 5528881, 29626043, 85786520, 26014536, 32769712, 12789386, 21139736, 98129014, 13802806, 179471924, 7865970, 11163758, 11913008, 294334861, 97305873, 33261372, 15008321, 17344134, 4770883, 129481555, 21907393, 1103758, 11128502, 25442582, 41608765, 26179740, 12467909, 159638628, 116247650, 70528542, 68041254, 151863899, 19249411, 73122758, 71414976, 13437091, 5013159, 71345950, 1305040, 23188495, 17567021, 11477008, 73828439, 28854300, 7492623, 53375586, 19222845, 68169066, 5229812, 26063013, 43573138, 212441138, 32328827, 94151193, 22447868, 30883294, 28666453, 29603894, 115582686, 14861593, 63785001, 35164341, 27831959, 31533926, 70105411, 17980645, 35304971, 130565569, 1778507, 4778538, 21532160, 24346444, 31463377, 108504473, 18566907, 6464083, 49802344, 62547840, 83112910, 54663602, 105397962 ], [ 19594632, 97085922, 91521943, 157120283, 12421527, 19122126, 19233415, 107725003, 31816588, 8400477, 97336887, 1616244, 17592067, 51057216, 81455175, 63008251, 93053363, 84073666, 29159332, 50333601, 7183235, 24823137, 37469071, 34088334, 29317739, 43176167, 17558543, 109224622, 4139590, 21147669, 26467198, 70712698, 6963277, 19490018, 57270658, 68809828, 277657016, 3966872, 10899413, 36700884, 1692936, 10259202, 114412716, 119511733, 7150152, 19310705, 45977162, 42867505, 34932760, 2414303, 49158568, 82219332, 45328380, 29646401, 317852, 58746990, 179471924, 6045037, 37915917, 21392781, 10098227, 6417839, 19595386, 5573680, 23182152, 23458859, 9199391, 313465, 13911521, 11128502, 294734429, 104722467, 2585693, 215436, 15902863, 67638576, 171614034, 10624337, 52479638, 7147687, 62834635, 46179394, 40525522, 21883622, 203993, 7244825, 13431390, 17567021, 47087107, 73828439, 7903880, 64674003, 35359611, 19222845, 125694265, 74175936, 26290681, 29376298, 28973210, 32328827, 31190782, 44820657, 12279330, 15356887, 24435136, 10148911, 10328263, 93866529, 35164341, 78000180, 31533926, 18245555, 34900327, 75222315, 30339226, 17911957, 55381893, 98757284, 79322841, 7574241, 47528981, 58363570, 6464083, 35781802, 77253233, 6453081, 54663602, 10498243 ], [ 82816544, 22529708, 40672129, 17412924, 25910147, 7829423, 188739926, 35950279, 47429823, 16677736, 49052728, 17470031, 71615469, 35156949, 36634874, 115087756, 123300023, 58008113, 46959627, 72834825, 69861726, 118009155, 54507159, 34088334, 17271424, 21578825, 1156155, 2563802, 4139590, 21147669, 129820417, 28857644, 130629805, 187451739, 9919743, 143862951, 140274632, 140011696, 86884185, 8406349, 85422202, 13424672, 49905013, 744442, 133202078, 70073001, 46963576, 57881077, 220904971, 60223950, 26014536, 10030682, 111822348, 109565665, 2219404, 10654555, 45263624, 8221730, 14648640, 16330527, 123106573, 96510512, 1273891, 48164330, 284746760, 8767110, 107754139, 19618566, 163030879, 75709387, 140702641, 19915195, 156246820, 60270550, 312654018, 69681164, 39107390, 179724665, 13175497, 7147687, 45404420, 26621193, 24766906, 150209431, 41212444, 23136344, 134580896, 17838890, 34164230, 45315856, 142284667, 7492623, 80374169, 19222845, 16769773, 103527577, 44055985, 43573138, 110766261, 108053240, 248177336, 79870237, 138163024, 39139097, 18629613, 145146475, 46887196, 58570577, 35164341, 63673246, 121731182, 66633566, 22799841, 3457816, 17928750, 77874438, 4778538, 135279616, 127687439, 7755034, 10094996, 67476139, 47536630, 35781802, 62547840, 49757387, 54663602, 120635486 ], [ 141917293, 97085922, 43139594, 154859822, 25910147, 7829423, 787494366, 117250155, 145021480, 71013518, 151853792, 74243328, 71615469, 73670532, 220839074, 44486606, 123300023, 406213312, 390450072, 305468194, 204628466, 269777730, 54507159, 524879674, 9825495, 43176167, 152925161, 8874972, 36979083, 9811063, 216228118, 385182958, 26320394, 1235734, 9919743, 180270267, 63106285, 107486449, 209717285, 194479144, 177243918, 218383803, 1572129, 124972417, 123902309, 181581527, 166347001, 47930503, 102949115, 47721901, 174675622, 120801518, 630518188, 225564937, 47110452, 13802806, 75770217, 23414904, 34569314, 294779666, 251204438, 39010748, 166247101, 74046888, 212274550, 137077539, 153379140, 12512447, 25132237, 11128502, 140177897, 220884734, 26179740, 118429636, 20588532, 116247650, 51997502, 313359370, 44841138, 167507113, 194619951, 51068483, 303039564, 321894380, 44399837, 126654551, 192082432, 45723755, 99574942, 164468550, 446275943, 7492623, 363713639, 19222845, 15727200, 72895764, 397986618, 43573138, 110766261, 502509366, 84038777, 22447868, 64410245, 46975680, 16368907, 60881301, 22810538, 21571738, 35164341, 159429464, 82416736, 152283894, 108892514, 192972891, 240354627, 77874438, 537991267, 49855642, 24346444, 94962878, 10094996, 67476139, 55631223, 78707398, 11770568, 95381060, 63820749, 93515659 ], [ 101920648, 31794376, 15359576, 66718259, 136245013, 7829423, 81223123, 249900232, 194657306, 69172837, 151853792, 61471504, 162302188, 196835868, 106825335, 18429975, 74033887, 148363555, 29159332, 7746017, 17088587, 62539195, 54507159, 93480307, 4836413, 180284399, 78324648, 82582567, 4139590, 21147669, 50069238, 48525486, 111420108, 135631733, 59935760, 23790152, 95726195, 90717827, 37089588, 164124782, 35787316, 10259202, 105695620, 71133906, 95032242, 126359690, 85158669, 339529536, 61477754, 86787225, 26014536, 84385446, 95412116, 160133482, 98129014, 63985392, 164194829, 6088663, 62574497, 37539156, 224814213, 75913829, 33395442, 80842483, 176979771, 152204219, 60930050, 4267729, 10875213, 11128502, 74599348, 102620064, 110406079, 60270550, 155580489, 8928777, 51941425, 137279034, 88687903, 19249411, 38633454, 21084572, 231070872, 2390951, 345349405, 130251109, 346554452, 143590005, 24960343, 21518044, 38793361, 91978305, 26757847, 19222845, 16769773, 5232805, 49803073, 43573138, 272014843, 150378230, 141873989, 218835269, 64410245, 315305149, 164429909, 205255703, 22810538, 173862457, 22828454, 63829230, 166278838, 21053919, 69170272, 90524616, 33784668, 77874438, 20283815, 283455105, 161591008, 7574241, 1191094, 277962867, 87110961, 78707398, 121786613, 15123677, 54663602, 6315096 ], [ 24568957, 97085922, 91521943, 71945928, 68797297, 7829423, 115046075, 10728620, 31816588, 104557407, 17691765, 1616244, 71615469, 13920403, 82691050, 58463249, 7913937, 1320109, 34611088, 78050814, 1549220, 12478191, 54507159, 63314908, 101437440, 13176388, 48849525, 2566108, 4139590, 720089, 7844830, 1583679, 6195173, 18212595, 9919743, 1919907, 36306121, 125350875, 23580742, 14017762, 664293, 26317362, 98787651, 32893418, 96511552, 8738751, 16984205, 28538266, 61477754, 56346379, 84309054, 82219332, 51243350, 135959244, 57689454, 77442912, 20917968, 84306054, 11163758, 226720219, 107732194, 46481541, 3668187, 9611901, 113988086, 117575854, 15397884, 20876282, 25329720, 11128502, 17668011, 11661511, 12873107, 12467909, 20588532, 26568743, 31656095, 92990750, 72525106, 19249411, 138388717, 83175160, 5499411, 183263655, 10528215, 36750471, 192082432, 58174523, 66869964, 21518044, 23050872, 7492623, 77572742, 19222845, 17551062, 62454713, 21306912, 43184542, 114793140, 63975941, 6496455, 6227883, 12279330, 15381447, 29603894, 115582686, 22810538, 18029310, 80678504, 120181981, 26152720, 63579621, 3314149, 132767123, 28289587, 13721683, 3207842, 9219250, 79788761, 60532669, 282759339, 52548562, 6464083, 6968384, 12114064, 19034114, 39450342, 28065859 ], [ 101920648, 97085922, 91521943, 169123031, 136245013, 7829423, 81223123, 163994016, 302933510, 307835267, 151853792, 61805325, 71615469, 134968280, 10236262, 197958489, 35635354, 148363555, 51287163, 54276266, 29984501, 176407070, 48133062, 34088334, 236244250, 200747968, 202725313, 215810935, 4139590, 21147669, 182484876, 16606570, 130629805, 271526408, 9919743, 57376968, 6525604, 65573225, 240537181, 194479144, 161630182, 74785458, 49905013, 18062187, 239972320, 181581527, 191320393, 145062040, 107619285, 141255410, 26014536, 25544877, 167442888, 351252301, 98129014, 61835817, 179471924, 71019915, 14648640, 140032160, 39550190, 163526627, 33395442, 2559906, 189214701, 152204219, 131606927, 288925181, 535701918, 11128502, 370900636, 104722467, 73522015, 60270550, 155580489, 116247650, 102346610, 335752545, 95255415, 19249411, 106471389, 156045941, 532857399, 26791723, 121105692, 23136344, 22060133, 143590005, 112453422, 21518044, 223658351, 7492623, 239819815, 13972587, 60854711, 5229812, 46164003, 27358281, 272014843, 45297176, 148151744, 17646436, 12789278, 276462502, 165357810, 113863290, 160122026, 121284202, 35164341, 94194490, 110606413, 152283894, 27261670, 194919342, 54283146, 77874438, 14187457, 436626883, 39902837, 83135938, 183035286, 277962867, 142662399, 78707398, 208043842, 476967306, 54663602, 158189237 ], [ 63235793, 97085922, 91521943, 36952558, 25910147, 753563, 81223123, 8499451, 7078889, 71013518, 48665545, 55136879, 71615469, 207228724, 23331017, 120952880, 59263670, 148363555, 51287163, 101486490, 1549220, 98999318, 54507159, 34088334, 11976576, 3914731, 294057706, 8874972, 4139590, 21147669, 27713467, 17945446, 21438948, 255052525, 9919743, 14345099, 140274632, 90589342, 10949511, 194479144, 158735679, 238018860, 374018, 96467989, 13507184, 46506850, 16984205, 82196489, 84387194, 100005167, 26014536, 73132196, 2183628, 67955405, 47110452, 83897277, 19711115, 6045037, 14648640, 154651488, 189633625, 1779069, 33395442, 2559906, 25872681, 139221672, 73179677, 72847618, 25329720, 11128502, 104385194, 4843872, 52201368, 9526338, 28568245, 111852234, 91380705, 4232416, 52479638, 19249411, 45404420, 207607721, 16840117, 13416598, 40148826, 23136344, 56588923, 143590005, 126921040, 73828439, 77908623, 7492623, 53375586, 1827306, 186787881, 5232805, 18601785, 27358281, 63947190, 45922272, 12257796, 156151531, 64410245, 72190475, 18629613, 17235134, 137127003, 3824292, 52299753, 52247402, 179445088, 73191623, 1250663, 47985545, 45340032, 66124152, 14187457, 132932783, 123563326, 83135938, 10094996, 30146841, 87110961, 36101551, 11461283, 18358466, 54663602, 61130158 ], [ 21192448, 37049060, 57791115, 278109108, 75913213, 23770494, 81223123, 83849244, 248123826, 192202135, 38036421, 74243328, 71615469, 190006231, 23609316, 10794703, 206066800, 98899661, 32135415, 56392526, 29356258, 499315853, 54507159, 548401, 101437440, 117016792, 45702300, 31043805, 204488891, 21147669, 161280117, 362807461, 130629805, 18212595, 9919743, 72706655, 85660278, 55837967, 240537181, 109689335, 131281703, 168238182, 59792215, 27009633, 124986952, 181581527, 97950163, 145062040, 84387194, 92707767, 26014536, 87331021, 161036725, 86085631, 42145575, 58746990, 107804178, 66324518, 30486923, 117919091, 227616751, 128160002, 1273891, 31220710, 431253410, 145111827, 10866510, 19618566, 103725896, 11128502, 22704879, 224592928, 33120467, 118429636, 20588532, 29962433, 15003197, 40460042, 169109617, 220942899, 77230410, 7369407, 179012691, 87777003, 181736663, 23136344, 192082432, 143590005, 31069546, 21518044, 95172109, 7492623, 53375586, 7284989, 84370184, 5232805, 157134313, 2380324, 42289158, 229542908, 207472463, 13969355, 64410245, 140735508, 130126005, 101370518, 14805064, 15747426, 35164341, 74491678, 43458299, 120266310, 83370080, 58672491, 56142215, 77874438, 82300461, 9219250, 67120051, 94962878, 4361997, 67476139, 21594841, 78707398, 306721294, 142619239, 161831401, 82023210 ], [ 82288563, 61167770, 36715852, 20031339, 41832463, 6361937, 63611214, 55343903, 153079691, 260486391, 49052728, 17470031, 187731381, 75666424, 51080837, 45231480, 49526713, 148363555, 116936863, 28941804, 26522084, 118009155, 48133062, 34088334, 41384463, 21578825, 149956506, 64536951, 31058967, 163515788, 28316994, 23768020, 54332702, 370407950, 126871329, 22598478, 57891213, 180260944, 217041723, 194479144, 9785898, 115658817, 2411081, 30558834, 66747867, 98730473, 96064311, 100859830, 145833559, 147982748, 26014536, 17067399, 57206795, 67955405, 26888288, 557991, 90633806, 8221730, 194593773, 110186234, 87272772, 146962618, 166247101, 6966118, 319950682, 62076962, 12653804, 105572524, 68295644, 11128502, 22704879, 72096919, 43998752, 118429636, 9674566, 116247650, 60974175, 90102240, 63843991, 49366835, 45404420, 176068714, 236413688, 26791723, 15928222, 23136344, 142524783, 60584963, 205674685, 13109629, 800507, 42203200, 26591430, 19222845, 163961914, 141875621, 10688698, 43573138, 93765590, 148252258, 42362674, 106473325, 64410245, 88710090, 109295565, 36643396, 140525516, 128093042, 35164341, 85137971, 111347582, 201298714, 135784036, 152144567, 162901039, 77874438, 48719828, 231635349, 18050038, 25903977, 91179017, 75252336, 2420871, 4813626, 260688887, 4957152, 69217070, 158189237 ], [ 224415304, 22529708, 40672129, 162632252, 89456407, 7829423, 81223123, 104291109, 92583342, 43540580, 64617998, 17470031, 71615469, 241630593, 37745886, 63370014, 30608771, 148363555, 29159332, 477735, 29984501, 46042705, 48133062, 30265834, 31213665, 45320302, 16674892, 75995835, 85673659, 13418650, 32318278, 38606700, 59023697, 19490018, 9919743, 107832548, 5426475, 90717827, 123466888, 139661491, 37678536, 10259202, 98787651, 10421108, 7150152, 10151165, 84757146, 118014743, 7617318, 31107945, 26014536, 10030682, 4386949, 49755262, 8478774, 10654555, 177760154, 49122919, 14648640, 108112636, 123106573, 49867426, 33395442, 47980771, 18108713, 23458859, 50293890, 4267729, 90734652, 8937545, 22704879, 270867981, 43998752, 12467909, 55101405, 34099829, 85029471, 25369199, 79283957, 11201088, 24568862, 33612121, 16703008, 26791723, 48897944, 23136344, 35069163, 143590005, 47087107, 38712468, 11744654, 72937, 23401976, 19222845, 62289908, 5229812, 82164244, 43573138, 8006431, 32328827, 156622523, 79870237, 22173503, 17157163, 164429909, 64370100, 22810538, 145603465, 11261624, 20602581, 62345459, 22523562, 33090278, 37927781, 192415532, 77874438, 14187457, 405624028, 39902837, 7574241, 7805551, 67476139, 6464083, 15493316, 62547840, 49757387, 51513339, 6315096 ], [ 30015331, 72056543, 68226578, 56953221, 33277103, 7829423, 222612728, 89980810, 88636923, 40737803, 21899197, 74243328, 385616, 16452605, 4413105, 25179371, 20561983, 45826829, 150672294, 50022452, 69861726, 46042705, 54507159, 34088334, 3474163, 45320302, 81165814, 45836892, 4139590, 21147669, 152933718, 31437449, 18658119, 30842326, 6697216, 18075485, 64129861, 23711522, 240537181, 101321538, 70535661, 39668587, 98787651, 27919923, 19065106, 31935825, 11842263, 5528881, 119249522, 178192221, 57009711, 87331021, 10215045, 210941362, 76098796, 34775875, 48212736, 54756501, 14648640, 47727306, 2470016, 163526627, 166247101, 2559906, 745699, 152204219, 131606927, 77917987, 97252892, 11128502, 65080746, 30113405, 30321886, 28358421, 20588532, 11218434, 14648127, 129876781, 18160172, 7147687, 27167069, 83560842, 16840117, 63256103, 83980892, 23136344, 21468693, 143492509, 48669013, 38304780, 223658351, 7492623, 8702321, 64717176, 34262234, 135808020, 34854112, 15323433, 105637471, 10832589, 35783437, 56312789, 64410245, 33373381, 12058456, 108119065, 3435798, 6229215, 35164341, 59821967, 259174258, 43839952, 103131489, 55610791, 185327122, 3769254, 14187457, 364731807, 23733196, 18120576, 8244011, 5521808, 132883173, 53724679, 134096834, 41984020, 54663602, 82023210 ], [ 101920648, 15868218, 91521943, 82083921, 136245013, 7829423, 226319360, 87779152, 229519931, 71013518, 151853792, 74243328, 71615469, 65401774, 147782651, 114712881, 60885450, 8106186, 96553454, 7653999, 12504639, 118542520, 48133062, 48181384, 79409986, 43176167, 7304708, 93685806, 25803684, 21147669, 138126953, 320413667, 9244498, 219603574, 9919743, 121188832, 85660278, 158777903, 209717285, 155978209, 188043164, 408278344, 98787651, 124972417, 239972320, 5564078, 586278350, 246926826, 44819145, 60223950, 27794976, 150982178, 135329372, 86710141, 77129435, 502422784, 179471924, 182765512, 165347182, 77820875, 56092446, 243798155, 39898147, 2559906, 10736184, 63295174, 70066454, 8461208, 172136588, 11128502, 140177897, 163134051, 167864940, 118429636, 20588532, 116247650, 18654080, 71500726, 169109617, 159837584, 170912298, 98552377, 365328634, 26791723, 8841244, 303615423, 113185502, 143590005, 15775376, 21518044, 118573343, 7492623, 80337515, 471631, 113119684, 17292199, 9904138, 27358281, 142905472, 30702354, 40915217, 9032973, 41078699, 265567641, 165357810, 252699504, 41312565, 115262061, 35164341, 26274145, 4932240, 35646354, 108892514, 143374325, 15882741, 77874438, 47784467, 127348439, 37044677, 94962878, 10094996, 67476139, 142662399, 78707398, 306721294, 34852269, 5202840, 28598678 ], [ 90172578, 4966446, 1130650, 74511019, 1259187, 7829423, 58488883, 117487708, 12545875, 47270693, 108486741, 5642071, 58169508, 53508936, 15046430, 47435584, 18518610, 58008113, 51287163, 131038307, 17088587, 174630555, 48133062, 228074430, 4836413, 169774264, 78324648, 159392171, 9657706, 9811063, 50069238, 94730687, 168050039, 109741920, 9919743, 23790152, 145876979, 90717827, 110155120, 107705051, 27851172, 19638755, 98787651, 157136639, 29412318, 38061360, 50097665, 127497359, 137688660, 52096546, 25424103, 10800613, 12789386, 67955405, 156207902, 10654555, 43564225, 57345974, 14648640, 16330527, 123106573, 254755658, 131219860, 48164330, 124951231, 7498232, 131606927, 92680934, 50326426, 55657666, 222386770, 10364907, 26179740, 90293068, 82250628, 29962433, 117821676, 252889353, 95255415, 67801307, 75613047, 98560510, 205135835, 26791723, 32908317, 23974405, 23773158, 143590005, 28524818, 41232400, 91110175, 7492623, 80374169, 19222845, 92356686, 5229812, 44055985, 43573138, 14231200, 108053240, 132629132, 20441678, 138163024, 81970409, 31826721, 6646413, 22810538, 43313435, 35164341, 94194490, 31533926, 17892411, 1250663, 40910549, 35140652, 12788432, 14187457, 4263372, 24346444, 94962878, 8960162, 23424037, 142662399, 4241466, 176555952, 1832243, 73978564, 34225843 ], [ 24568957, 37182334, 20551867, 10014879, 33277103, 22166160, 5481880, 11122756, 11568794, 10879973, 64617998, 55136879, 1740566, 13949632, 84375885, 4605955, 18518610, 64880189, 36161704, 56738159, 29984501, 64082923, 16969607, 1526538, 8151623, 285087, 40194436, 8874972, 4139590, 9811063, 56364034, 37980700, 92606605, 108419258, 9919743, 23684895, 25456454, 11939172, 31535672, 1341852, 37678536, 230155709, 49905013, 11997696, 61994006, 126359690, 22487531, 104486912, 1706859, 144773047, 26014536, 48757172, 12789386, 15889489, 8513457, 1166550, 19594764, 57345974, 14648640, 9555816, 43964232, 53608172, 33395442, 13914330, 85957764, 23458859, 69275328, 3498867, 2973187, 8937545, 5029277, 7431751, 26179740, 23605154, 20588532, 17535400, 129944384, 31532024, 10845223, 19249411, 35219218, 629887, 24766906, 26791723, 26850711, 23974405, 18630531, 9834354, 173823503, 15850384, 7930637, 7492623, 8702321, 897335, 118353617, 5232805, 45218062, 15323433, 8136141, 43131140, 23271493, 15764238, 56859134, 38917360, 128715962, 112277713, 14934828, 43313435, 27649900, 81377413, 43458299, 27787531, 33042149, 42449850, 33727703, 10016353, 14187457, 9219250, 24346444, 83135938, 22936501, 67476139, 15840429, 49524043, 26256355, 50150480, 54663602, 6315096 ], [ 101920648, 6855765, 91521943, 213830878, 33277103, 7829423, 20795824, 49257825, 47429823, 10879973, 176420162, 34246182, 71615469, 257131175, 196637821, 300319865, 163244877, 82068638, 175265427, 138673085, 29984501, 46042705, 24025791, 174519078, 397432195, 45320302, 311684793, 61962184, 4139590, 21147669, 94523390, 14947995, 67965017, 139842817, 9919743, 194771439, 140274632, 706574726, 182399285, 225584535, 90365741, 39668587, 98787651, 221934914, 33962363, 181581527, 5173216, 172250565, 65061345, 80247657, 26014536, 86665551, 95293676, 102121459, 5938717, 34775875, 179471924, 194033880, 66967279, 98276767, 18475382, 97305873, 33395442, 208369184, 136743811, 73923170, 131606927, 111013474, 509238544, 82677694, 4048547, 166078129, 144387996, 20259887, 42709484, 95595009, 142157452, 54662033, 10845223, 19249411, 76332171, 135719616, 24766906, 8160598, 44399837, 100364842, 178221360, 45723755, 52984891, 12130114, 7930637, 7492623, 8702321, 51195759, 33926503, 37062868, 113461032, 15323433, 272014843, 32328827, 226542405, 16886895, 148934682, 28666453, 73653470, 165751613, 22810538, 128591147, 45380486, 6700095, 89522585, 26827882, 108892514, 227069835, 24842932, 71561743, 315016424, 135279616, 42944154, 83135938, 25072857, 50404181, 142502222, 104331653, 11198978, 224365826, 663968, 29744722 ], [ 36165227, 97085922, 112130727, 141912263, 25910147, 168197060, 161931783, 117250155, 65730728, 60147822, 36711105, 74243328, 46568962, 4774759, 49382248, 200324416, 73125700, 148363555, 30352729, 28941804, 48757041, 46042705, 48133062, 32635763, 84389921, 43176167, 16674892, 58531464, 4139590, 48744178, 32318278, 108535708, 63338930, 187666223, 9919743, 36560465, 17027954, 63631160, 162586864, 194479144, 51016201, 39668587, 98787651, 124972417, 133202078, 15641359, 59687196, 5528881, 137688660, 223778508, 26014536, 38680821, 85870163, 232049300, 8513457, 28456575, 3093796, 64185138, 14648640, 108112636, 123106573, 48287149, 38504136, 48164330, 135665876, 50118941, 21391944, 107018213, 163030879, 11128502, 110385378, 104722467, 144387996, 28358421, 16317519, 83983265, 263054, 63064218, 44841138, 1081391, 283824684, 11841208, 47604395, 26791723, 32908317, 23136344, 42278587, 134674203, 48669013, 136403541, 189092209, 7492623, 80374169, 204188204, 19873595, 65146730, 67706453, 28706724, 110766261, 32328827, 24852577, 9498304, 64410245, 33373381, 18629613, 4696912, 22810538, 105191217, 35164341, 233141823, 31216632, 79686694, 34900327, 248228974, 237297449, 77874438, 14187457, 84967719, 65373577, 83135938, 239147563, 67476139, 89728811, 4241466, 208043842, 30465361, 54663602, 158189237 ], [ 133767379, 83328899, 91521943, 27543629, 125013236, 7829423, 51233096, 71232612, 47429823, 74559679, 151853792, 55136879, 71615469, 59370111, 116293349, 314101233, 18518610, 380817300, 145452590, 281913680, 29984501, 46042705, 54507159, 133942844, 8151623, 47168326, 78324648, 159392171, 49492879, 21147669, 36342808, 99290340, 130629805, 188129406, 9919743, 23790152, 140274632, 89144543, 240537181, 160400919, 172588415, 39668587, 49905013, 45434042, 141293504, 181581527, 46963576, 281170117, 51897052, 224854834, 597143335, 87331021, 12789386, 211551143, 74241463, 346852940, 3093796, 57345974, 164315617, 16330527, 17639151, 163526627, 33395442, 262811616, 486393603, 59560686, 21391944, 282460746, 50326426, 11128502, 155591114, 73698525, 281264304, 30813733, 100870888, 29962433, 142157452, 61500810, 169109617, 43307212, 208530050, 10158467, 24766906, 235443930, 7835358, 169104979, 119891652, 143590005, 52984891, 73828439, 152840646, 7492623, 45843920, 239851689, 144406260, 140188466, 27715780, 43573138, 211593981, 32328827, 327896004, 79870237, 64410245, 76577468, 36604720, 36643396, 160122026, 20313015, 35164341, 21513294, 43458299, 101313002, 47260902, 190708686, 132971494, 77874438, 22628002, 40852146, 162226585, 94962878, 112368064, 67476139, 142662399, 69377704, 75147213, 142619239, 166599077, 82023210 ], [ 24568957, 97085922, 9024081, 2276909, 25910147, 7829423, 81223123, 10728620, 11085454, 69172837, 19436251, 55136879, 86848865, 32351205, 57273016, 69497626, 76141940, 10053466, 76057759, 58632063, 17088587, 14041950, 54507159, 548401, 4836413, 6397534, 7868675, 46274253, 67213595, 21147669, 50069238, 32225846, 130629805, 90961544, 57270658, 22598478, 38584823, 55837967, 12969820, 16856511, 108687630, 19494935, 210341549, 1669215, 24027696, 10151165, 46963576, 5528881, 137688660, 37487917, 14745116, 10030682, 78451727, 30067172, 2121964, 10654555, 102253300, 44354397, 14648640, 86668978, 6207749, 12873619, 10055390, 10703012, 19566584, 23458859, 8479096, 20876282, 36603489, 11128502, 47738403, 6038789, 2585693, 11856924, 101984142, 116247650, 79603216, 4232416, 10845223, 62012220, 63067499, 167155196, 188841, 99854249, 27512793, 23136344, 102579278, 63306276, 48669013, 7281866, 2486826, 2933573, 11638314, 19222845, 62289908, 28933106, 26063013, 43184542, 97770868, 9350717, 96301675, 36104330, 22173503, 30818672, 5910747, 101152754, 22810538, 63845085, 26093144, 8488518, 253755655, 18245555, 59310176, 75222315, 54105713, 77874438, 4560446, 49855642, 84610770, 51565532, 7440492, 95242775, 79815833, 97574586, 15844806, 29376405, 13252763, 59881781 ], [ 42188445, 74270162, 91521943, 154859822, 125013236, 42600000, 115046075, 41655514, 47429823, 32406123, 27377448, 55136879, 71615469, 13920403, 102963511, 76672515, 7619152, 148363555, 136410397, 94898154, 27114665, 47506647, 54507159, 34088334, 202015670, 18695287, 127371028, 2566108, 47861371, 21147669, 182484876, 50490197, 111944417, 19905420, 9919743, 149559773, 140274632, 90589342, 182399285, 26723723, 36108440, 55387698, 49905013, 22668122, 24169191, 8738751, 46963576, 5528881, 84387194, 35676431, 26014536, 167116606, 190206814, 28863318, 74241463, 11735842, 87289064, 71019915, 34569314, 35431824, 294334861, 24647788, 230664241, 1887619, 758187, 145111827, 131606927, 150719997, 16242110, 11128502, 47738403, 166194665, 13062683, 23540961, 64634331, 166102919, 51997502, 148365688, 19353368, 108200091, 420874816, 156045941, 24766906, 259498629, 61609566, 4804257, 127502231, 100320188, 36523646, 30310893, 95172109, 7492623, 30136489, 19222845, 62289908, 118996743, 26063013, 43573138, 228022515, 62500276, 141466997, 30029279, 64410245, 15381447, 29603894, 115582686, 160122026, 47459795, 35164341, 276559820, 26080231, 152283894, 108892514, 237890840, 26113347, 37966319, 90797639, 103713060, 60456024, 22717768, 2231672, 67476139, 37426293, 78707398, 26019715, 72194092, 57156642, 14895048 ], [ 73278332, 8182231, 40672129, 18244376, 61811579, 2286285, 138825044, 99774050, 44315438, 78853222, 29914440, 45643335, 16127231, 10221460, 18258484, 97040366, 65157304, 95554627, 48574538, 33007665, 20457119, 151886795, 54507159, 34088334, 78693900, 40989572, 7304708, 109224622, 4139590, 9811063, 26786137, 9378073, 6963277, 19490018, 9919743, 100200947, 21071992, 119245728, 9985536, 94944082, 108687630, 94283208, 98787651, 107806842, 37033709, 168446, 22487531, 54676401, 28791263, 46554062, 26014536, 10030682, 90500402, 15889489, 98129014, 1166550, 3149179, 6044690, 9047454, 21392781, 44728671, 24647788, 73606420, 8089399, 28367226, 4770883, 24234743, 96825983, 94420609, 11128502, 47738403, 403409, 26179740, 12467909, 6464747, 30652265, 39663821, 31532024, 24397799, 19249411, 62834635, 28654178, 9237257, 81285705, 7835358, 4804257, 35787454, 37409090, 9489121, 11347502, 7903880, 7492623, 82716240, 19222845, 59640216, 88201049, 37119810, 43573138, 90706319, 8258553, 104034246, 22447868, 42410573, 118641848, 58610338, 162812540, 186998479, 43313435, 34221970, 39156272, 8198026, 51741633, 15506915, 97878312, 162901039, 77874438, 11398780, 9219250, 24346444, 39727414, 1037861, 67476139, 6464083, 41144003, 33592772, 58386962, 38971413, 35772956 ], [ 5468845, 22733343, 1971494, 74511019, 136245013, 48019938, 108092179, 10728620, 47429823, 43540580, 5736725, 74243328, 71615469, 35591568, 18258484, 63370014, 18518610, 44912522, 35540374, 40299525, 65065916, 222224432, 54507159, 3483270, 8151623, 47168326, 302434242, 15460071, 36979083, 9811063, 88277132, 50490197, 92691823, 19490018, 6192340, 36815956, 105394800, 150742036, 23580742, 37153598, 129236485, 24958143, 7749134, 30033505, 7150152, 181581527, 46963576, 5528881, 92960634, 25566948, 68774826, 17067399, 12789386, 75531018, 2738498, 13802806, 75770217, 47929753, 14648640, 1753138, 17879602, 22146385, 166247101, 26703795, 35286264, 23458859, 131606927, 12512447, 50326426, 4792409, 2459046, 48401055, 26179740, 12467909, 33384915, 197271005, 92069537, 182438260, 57076788, 26225179, 8213627, 100430043, 23898966, 17277866, 154857054, 23136344, 48925734, 24270387, 24695045, 25591598, 10391608, 7492623, 63171975, 19222845, 15727200, 22107941, 126776090, 43573138, 18278949, 67418016, 287237232, 22447868, 44457673, 28666453, 20196655, 54920280, 146392488, 21571738, 131324753, 5177954, 31533926, 57043443, 53697892, 259420844, 81716102, 20997644, 7578999, 115965811, 24346444, 27165719, 1037861, 81292165, 6464083, 62255495, 208043842, 128344645, 202692816, 158189237 ], [ 82816544, 33658843, 27156500, 68786783, 93306069, 48019938, 2561797, 53339978, 24406483, 16677736, 33741451, 17470031, 272546140, 11476853, 18258484, 44608379, 98507634, 44778422, 13840959, 91072366, 69861726, 46042705, 10966645, 34088334, 101437440, 47168326, 2806988, 21223513, 4139590, 9811063, 182484876, 128005632, 6963277, 79247482, 111415018, 42625953, 71870895, 52190964, 9985536, 23987576, 161630182, 39668587, 49905013, 124972417, 94386332, 58745990, 27395305, 5528881, 27658597, 52133795, 27794976, 33810309, 3909215, 106656774, 74241463, 11735842, 4161656, 34742023, 14648640, 21392781, 69287274, 35379752, 53978445, 4081438, 71503253, 4770883, 110304335, 20876282, 72240430, 11128502, 194122320, 55148963, 26179740, 11856924, 143395144, 73953910, 115588337, 22714767, 80840877, 19249411, 57535088, 46179394, 24766906, 107901285, 32908317, 23136344, 6453458, 143590005, 24695045, 73828439, 7903880, 111189154, 47854487, 19222845, 131738352, 78652103, 9904138, 6325118, 228022515, 30702354, 146751926, 22447868, 24165878, 28666453, 96806039, 30180049, 14861593, 291330493, 35164341, 29147725, 330549291, 157590532, 17980645, 76483276, 162901039, 1778507, 1978860, 33204036, 24346444, 22717768, 1037861, 15816928, 85358323, 4241466, 77755570, 41027365, 33579362, 48756787 ], [ 174162059, 13262061, 17002118, 69691653, 1773737, 42600000, 108092179, 19282330, 47429823, 54375152, 11836062, 61828433, 13688128, 86837586, 16476275, 9216382, 18518610, 1747294, 104815858, 15885867, 4584997, 657974, 7097485, 30278519, 8151623, 11240945, 96003604, 20886667, 63629570, 21147669, 74237613, 17844472, 70529736, 15439603, 9919743, 79717447, 22391749, 147319815, 87279387, 26723723, 5492754, 25077686, 98787651, 124972417, 35045599, 10892048, 46963576, 5528881, 54446374, 26018692, 11360127, 87331021, 5858647, 28863318, 13416441, 86751626, 20917968, 57345974, 14648640, 78989543, 26453247, 30767542, 24055500, 48164330, 64660211, 6378140, 101831917, 30962517, 50326426, 2292078, 7997059, 154347737, 43998752, 163243117, 1476990, 146629205, 142157452, 64745809, 19353368, 108979105, 80116042, 270790174, 16841356, 31023608, 90976407, 23136344, 12263900, 53517166, 48669013, 42977576, 56615470, 7492623, 53375586, 19222845, 54835128, 5229812, 5674697, 43573138, 20280847, 51709403, 31685210, 79870237, 4427797, 28218654, 29603894, 36869337, 13569959, 54998635, 1774901, 19089394, 49678368, 33959348, 1957091, 62689640, 54283146, 31131358, 14187457, 28311327, 483341, 72714269, 98344, 67476139, 11337900, 19907327, 12114064, 83112910, 57156642, 158189237 ], [ 6692011, 46578707, 58499433, 27899268, 42869693, 7829423, 81223123, 54496184, 11338106, 74718867, 105680443, 16883414, 71615469, 63070458, 11338407, 21034128, 45960502, 148363555, 54252897, 15163429, 29984501, 183131299, 49929162, 15803659, 71670348, 40989572, 58205030, 42247083, 4139590, 9811063, 34202976, 20613682, 25166883, 122004366, 9919743, 51382419, 16958417, 111646838, 10899413, 26723723, 36108440, 13424672, 98787651, 124972417, 57221722, 11684360, 53039174, 39040451, 25714548, 83200726, 26014536, 61065714, 111822348, 67955405, 57797426, 13802806, 93527021, 150389399, 68601867, 58645169, 6652893, 35379752, 10055390, 57173112, 10285345, 137077539, 9199391, 70020168, 158975681, 11128502, 22704879, 63477414, 26179740, 11856924, 55101405, 116247650, 398524076, 31532024, 19353368, 11717066, 76332171, 629887, 40525522, 7815048, 203993, 20108536, 154897329, 21325163, 16446832, 45315856, 209686677, 7492623, 35359611, 19222845, 62289908, 5229812, 63753642, 43573138, 8006431, 67309148, 147191683, 22447868, 53806064, 132992065, 29603894, 3783652, 751071, 93866529, 96387823, 94194490, 32483779, 36266479, 108892514, 97878312, 8209036, 77874438, 8032366, 134045925, 24346444, 55515494, 32182005, 27658010, 17832662, 43439840, 183176331, 125937636, 54663602, 8385885 ], [ 19594632, 83328899, 91521943, 140592197, 70067933, 7829423, 115046075, 99774050, 16684911, 117599434, 45869835, 16883414, 71615469, 13949632, 23331017, 39070086, 50298080, 1320109, 3058887, 94898154, 9367199, 46042705, 54507159, 15803659, 101437440, 40989572, 48327446, 2566108, 85673659, 21147669, 64420675, 9752379, 35422749, 44942891, 9919743, 22598478, 15948992, 90589342, 3120004, 26723723, 36108440, 7380059, 69677418, 124972417, 37033709, 41088252, 46963576, 27034028, 88928823, 147982748, 26014536, 61065714, 129989062, 6123094, 17366602, 30363827, 85409508, 179680194, 14648640, 15477609, 123106573, 22146385, 75202093, 47980771, 180005608, 9567324, 57995239, 20876282, 130933250, 11128502, 20324473, 148214483, 73522015, 3573302, 385345473, 59911040, 34866193, 184275910, 19353368, 108979105, 76332171, 74732900, 24766906, 7815048, 60151639, 20108536, 56564113, 43302181, 52984891, 28737907, 33818813, 7492623, 49948857, 13972587, 15272083, 18031643, 26063013, 43573138, 38497997, 32328827, 113821545, 100348418, 64410245, 114835017, 29603894, 115582686, 38076923, 21170252, 35164341, 107671626, 49678368, 19797370, 108892514, 92926213, 41831832, 313162, 14187457, 240264722, 63794246, 51565532, 32182005, 109584263, 64768070, 61205752, 55241413, 4746681, 57156642, 53692391 ], [ 73278332, 61406055, 21173329, 36890775, 19545057, 7829423, 81223123, 10728620, 47429823, 43540580, 111594686, 16883414, 13688128, 70896706, 18258484, 39070086, 65678101, 2474606, 34967950, 57593823, 13958272, 88262117, 54507159, 15803659, 84389921, 18695287, 24121485, 46274253, 4139590, 21147669, 88277132, 50490197, 111407, 19490018, 9919743, 137904742, 7734830, 28571661, 23580742, 96033270, 35664623, 24958143, 80217193, 107806842, 24774833, 8738751, 46963576, 20810070, 9195241, 33116889, 26014536, 36602426, 51243350, 15889489, 26675367, 1166550, 22660571, 21699071, 11163758, 37539156, 61606123, 90612674, 33395442, 1887619, 20743758, 45044728, 69275328, 3498867, 30774527, 11128502, 285796288, 3606114, 16268261, 12467909, 177618837, 34099829, 142157452, 36564773, 24397799, 19249411, 38633454, 51068483, 14834384, 183263655, 61609566, 12526600, 43857363, 104721923, 16446832, 37437763, 28854300, 7232315, 77572742, 19222845, 23155834, 28414050, 37119810, 43573138, 90706319, 20694858, 60341589, 64147911, 42410573, 51017854, 29586014, 35032224, 3435798, 43313435, 35164341, 36831880, 31533926, 36266479, 1957091, 85561760, 204531175, 37966319, 122363455, 9219250, 57381738, 59113867, 1037861, 77814166, 6464083, 78707398, 153120092, 72194092, 54663602, 6315096 ], [ 290147066, 97085922, 113505080, 8129169, 136245013, 85034267, 115046075, 306660385, 47429823, 437778517, 126992149, 74243328, 215132579, 97544519, 18258484, 366158729, 107761896, 231055415, 51287163, 183665205, 173485994, 46042705, 48133062, 548401, 212867456, 20503570, 107913167, 2566108, 96924582, 204697674, 216228118, 242606352, 130629805, 584803331, 549849457, 107832548, 15948992, 55837967, 14350763, 81042990, 11142073, 39668587, 84011763, 124972417, 94386332, 46245462, 46963576, 136581299, 389870615, 92707767, 195036129, 87331021, 376727136, 118292593, 17366602, 34775875, 140026212, 259979567, 14648640, 30245101, 10098227, 387779, 1273891, 47980771, 72709699, 65929704, 107754139, 19618566, 184576575, 11128502, 65080746, 104722467, 27582385, 272079305, 360379072, 99667754, 44553678, 177461324, 95255415, 108979105, 159577275, 256250165, 24766906, 26791723, 386825751, 23974405, 77153737, 143590005, 24695045, 73828439, 178890582, 302731744, 370243188, 433756488, 97838497, 5229812, 12075337, 43573138, 45636635, 32328827, 20594773, 176807439, 64410245, 155260947, 265958825, 145146475, 160122026, 74603003, 35164341, 94194490, 132337550, 192574244, 130058598, 154907283, 54105713, 77874438, 14187457, 609810477, 39902837, 5132230, 1037861, 58363570, 223995932, 78707398, 35536827, 194840787, 194455763, 53692391 ], [ 8537126, 34383241, 44059036, 115135124, 1773737, 7829423, 81223123, 10728620, 169858011, 163151050, 3912752, 57464752, 25445633, 178444147, 18258484, 45056064, 21648735, 95554627, 43723212, 81662757, 29984501, 51860793, 54507159, 34088334, 49402620, 117016792, 19916619, 3001735, 36979083, 9811063, 92691441, 24228380, 113878316, 19490018, 28755322, 100200947, 7734830, 49917506, 562100, 46876895, 31338498, 74514401, 8121061, 56104168, 37033709, 12150853, 11842263, 26266282, 84387194, 12097283, 156156835, 86665551, 105667647, 12493218, 26675367, 1166550, 75770217, 54756501, 14648640, 18495901, 51604081, 56202485, 33395442, 15008321, 180005608, 23458859, 17841816, 12512447, 94420609, 11128502, 71410333, 12497131, 26179740, 12467909, 8233690, 69681164, 63915820, 3010138, 85213851, 97649919, 1842598, 40177508, 113817328, 50113402, 123012058, 12526600, 18193341, 13517881, 24695045, 11347502, 28854300, 13331112, 53375586, 19222845, 15727200, 5229812, 44055985, 25969571, 205379607, 20694858, 120901661, 15181059, 60899828, 31086683, 54817327, 60881301, 2331077, 21571738, 49085247, 6912679, 31533926, 86645591, 86389989, 81204883, 113200123, 12788432, 14187457, 9219250, 24346444, 18120576, 1037861, 28019686, 6464083, 36416679, 153120092, 115840042, 126791122, 35772956 ], [ 2580654, 97085922, 9024081, 129906827, 77756416, 7829423, 81223123, 10728620, 47429823, 16677736, 29914440, 4810019, 71615469, 10221460, 50053741, 179217884, 40553025, 78537317, 2576077, 138673085, 29984501, 46042705, 54507159, 34088334, 1830157, 47168326, 185464217, 8874972, 5083551, 21147669, 145809542, 9423297, 52355039, 19490018, 9919743, 80995656, 140274632, 95273908, 23580742, 106079538, 78523311, 19494935, 98787651, 45341313, 140478244, 10151165, 46963576, 98960917, 89391093, 89121664, 4981553, 78724807, 29352916, 28863318, 2738498, 10654555, 62931609, 134823790, 11163758, 9555816, 133983929, 35379752, 33395442, 8089399, 108166731, 23458859, 12232, 47657914, 16242110, 11128502, 106483258, 84786795, 73522015, 11856924, 105449809, 116247650, 38040061, 40748959, 24397799, 26225179, 225823557, 83175160, 24766906, 13800938, 33774110, 23136344, 35787454, 143590005, 52984891, 73828439, 1514068, 7492623, 23401976, 19222845, 60854711, 5229812, 33887047, 33673721, 213212694, 9350717, 90028707, 31481391, 22173503, 96206678, 83503572, 135967796, 30097089, 43313435, 27649900, 68911876, 40209433, 57043443, 34900327, 23419415, 57633652, 12788432, 3207842, 9219250, 39902837, 94962878, 7805551, 52548562, 6464083, 35781802, 104594152, 132466882, 13266313, 59881781 ], [ 136228380, 97067234, 7079850, 154859822, 136245013, 83086094, 108092179, 48927969, 166680270, 212447531, 158437924, 28429720, 13688128, 86837586, 18258484, 173527124, 259690407, 68281884, 29159332, 57593823, 122222045, 46042705, 54507159, 548401, 14533353, 44825325, 16674892, 46274253, 4139590, 21147669, 32318278, 67516099, 94935099, 19802478, 540851938, 51382419, 13512568, 55837967, 9985536, 37153598, 188043164, 10259202, 89699984, 24447404, 37029892, 28257547, 171458853, 102358300, 146049376, 92707767, 26014536, 76403574, 157753072, 225564937, 84521005, 72460232, 179471924, 49122919, 32937631, 37539156, 75987077, 163526627, 166247101, 424379, 72709699, 4770883, 98935015, 20876282, 88108089, 11128502, 89756829, 118926573, 48687064, 60270550, 391655918, 175556028, 51997502, 156856293, 151863899, 19249411, 208530050, 7202544, 180760789, 96562618, 94396060, 25430442, 134580896, 37650369, 24695045, 73828439, 1357031, 59218407, 96967479, 19222845, 264493512, 76303277, 113461032, 43573138, 257803294, 32328827, 376402870, 1121340, 37542637, 222864622, 165357810, 115765731, 186998479, 74603003, 340568823, 201598130, 26595740, 62072411, 1957091, 85561760, 54105713, 77874438, 263743945, 92925563, 69602960, 7574241, 1037861, 259336814, 85358323, 694193, 62547840, 163097961, 33560528, 93515659 ], [ 41563223, 28304292, 57791115, 7711063, 30937440, 7829423, 31961224, 60297867, 47429823, 69172837, 119367130, 17030870, 3373001, 57850167, 18258484, 55828410, 98507634, 125722950, 51287163, 138673085, 14547668, 55711377, 34944851, 34088334, 4836413, 23987554, 4239848, 46274253, 85673659, 10085290, 50069238, 9444588, 130629805, 3345264, 9919743, 165846496, 85660278, 90589342, 16569881, 37153598, 80695730, 9182292, 90763939, 80345964, 20514030, 3913329, 22487531, 136581299, 17323077, 11397020, 26014536, 86665551, 31024540, 67955405, 26675367, 11735842, 80261876, 1281044, 47845937, 28456691, 2470016, 90612674, 90223625, 6997805, 745699, 42863939, 25808371, 20876282, 103297739, 11128502, 65080746, 26004917, 2585693, 37963677, 20588532, 113168606, 123740973, 1374860, 1008115, 26225179, 75041106, 49237715, 24766906, 18073851, 33774110, 12526600, 13721984, 77214503, 24695045, 18304533, 65970730, 7492623, 33739783, 19222845, 52055581, 165881465, 61378038, 36280454, 155275100, 147157708, 116592372, 25143123, 13704708, 28666453, 51603924, 6136708, 7934829, 150803005, 85454598, 18875456, 8770051, 18245555, 34900327, 75222315, 98686848, 77874438, 3207842, 5641399, 12884468, 94962878, 1037861, 29998079, 25747478, 88213347, 4720411, 41984020, 32965490, 107542955 ], [ 33459195, 8182231, 40672129, 107988613, 68797297, 7829423, 43761366, 10728620, 11338106, 88777570, 27598405, 17470031, 71615469, 63070458, 18258484, 40276196, 11167650, 44778422, 67004930, 40299525, 34747054, 3747843, 40985255, 34088334, 15072477, 3571107, 298078426, 115703980, 4139590, 9811063, 90105736, 11282436, 10956107, 13722469, 9919743, 35451111, 89979232, 21224022, 23580742, 8352151, 56845272, 24958143, 11857120, 114315668, 64752434, 57317810, 46963576, 59332556, 21775371, 14516404, 26014536, 10030682, 24439858, 87146758, 26675367, 13802806, 37398559, 35165228, 14648640, 35416368, 35213388, 91164240, 33261372, 12293544, 21440373, 13464304, 8879942, 3498867, 16242110, 11128502, 3837077, 31658196, 65771, 60270550, 27303075, 28289429, 42363566, 36564773, 49381587, 3400982, 76332171, 271107740, 24766906, 61282264, 48897944, 4804257, 65709753, 34969278, 24695045, 3582477, 141511634, 7492623, 77572742, 19222845, 130860465, 17879321, 9904138, 43573138, 26017605, 30702354, 6782680, 22447868, 56306782, 88710090, 29586014, 35033547, 1030147, 6238330, 34714145, 137293499, 14870913, 65918568, 162916, 97878312, 9620015, 12788432, 4778538, 17012003, 24346444, 10319841, 1037861, 19332191, 6566276, 12199600, 61553208, 15839597, 54663602, 8385885 ], [ 48319627, 97085922, 9024081, 367284122, 25910147, 28097237, 712232, 59426190, 37381873, 53988238, 166502739, 50264959, 71615469, 325941215, 139741872, 179509560, 54437367, 9907857, 32042364, 6868206, 15978268, 141272641, 2496499, 33020269, 1830157, 43176167, 311684793, 8874972, 5083551, 21147669, 63308320, 385182958, 10956107, 90961544, 9919743, 1543265, 114085922, 19319597, 16310652, 98164517, 42084262, 139798428, 98787651, 12750604, 140478244, 181581527, 22740728, 43060329, 65061345, 26042605, 55864814, 4856150, 47894154, 49539256, 20931233, 49977984, 40352896, 182765512, 37503905, 125990195, 46543422, 48287149, 38504136, 74046888, 28210030, 27518875, 109385066, 87989874, 123263407, 11128502, 51202495, 6038789, 142407561, 48283185, 313687263, 74615884, 100297601, 40748959, 29433047, 82985260, 334235957, 176068714, 505854930, 99854249, 302373081, 211245884, 125536885, 143590005, 141015020, 164468550, 43544053, 7492623, 8702321, 9953143, 7296770, 65146730, 134036564, 15323433, 110766261, 9350717, 258253631, 31481391, 34200457, 9378144, 18629613, 169808336, 31297339, 226741511, 30720515, 50226361, 163472763, 101662292, 84868195, 259420844, 88138403, 3632897, 68540380, 116940943, 82378647, 10319841, 10094996, 35192965, 6566276, 163789551, 40934890, 45568316, 151748144, 30789880 ], [ 43866048, 22733343, 1971494, 93067545, 133354017, 68409117, 29738778, 10728620, 25044537, 26310677, 5736725, 17470031, 56211229, 46460022, 57273016, 76834358, 76141940, 44778422, 3401227, 62336961, 29984501, 57463948, 32609310, 27454299, 21710163, 43176167, 17558543, 1490013, 25932319, 9811063, 74965254, 41544785, 130629805, 29889130, 145440573, 52512232, 85660278, 85393402, 23580742, 36700884, 374142, 74514401, 244459280, 24447404, 126229414, 3913329, 46963576, 145062040, 34386307, 89121664, 26014536, 10030682, 51243350, 13554292, 65591013, 10654555, 163470666, 66804770, 11163758, 1753138, 6301094, 14572170, 33395442, 26703795, 28210030, 114734156, 2235822, 3934247, 14948123, 11128502, 81043322, 6038789, 21634210, 118429636, 20588532, 28328164, 48982349, 71500726, 57076788, 7071017, 43726953, 99339, 23898966, 45077948, 8841244, 23136344, 29820822, 24270387, 35901352, 73828439, 233765389, 120288385, 23401976, 19222845, 20286424, 22107941, 9904138, 43573138, 26017605, 11632480, 27757556, 22447868, 22173503, 9378144, 76955315, 47516633, 7934829, 105633307, 30720515, 36831880, 25802810, 70105411, 42207456, 132767123, 172724801, 59038089, 6292514, 116940943, 22816936, 10319841, 5283439, 67476139, 34781054, 20809248, 4720411, 166270172, 13252763, 120635486 ], [ 133767379, 97085922, 90283397, 108155324, 41832463, 316337372, 164063332, 107725003, 198506469, 163151050, 358987723, 74243328, 139542348, 3344784, 18258484, 231692890, 105084046, 137889801, 74805622, 138673085, 48757041, 504966828, 54507159, 6185677, 353443360, 126330145, 342306512, 36317454, 63587445, 354980405, 216228118, 99134017, 82189877, 426756868, 125444037, 575548541, 122829624, 223317775, 423059782, 194479144, 99846812, 107895371, 115562724, 124972417, 37033709, 41088252, 512470784, 136581299, 1953595, 203833526, 26014536, 147007777, 162160841, 112525460, 98129014, 108728420, 72404741, 21531541, 14648640, 221127417, 72098547, 89418969, 164243119, 18101158, 3656926, 65929704, 346384033, 262499942, 17798266, 11128502, 370757357, 321244114, 195213509, 74743968, 68327284, 9022951, 36851458, 86563763, 80381280, 59621376, 104571882, 135997556, 203667260, 152145799, 32855580, 23974405, 77153737, 143590005, 24695045, 149011114, 194892710, 100058244, 15590413, 19222845, 117369863, 44916132, 183682807, 43573138, 181564193, 38867682, 42362674, 76039865, 64410245, 52793063, 165357810, 36643396, 10328263, 26437147, 278473473, 152870491, 342052023, 34193788, 463505636, 16508469, 93419607, 17911957, 14187457, 256199458, 63794246, 182220662, 1037861, 251373659, 330901991, 27614505, 349853773, 86728952, 182686516, 53328815 ], [ 76992290, 120543986, 91521943, 233039823, 25910147, 77932879, 244795652, 130453420, 306462113, 71013518, 119367130, 74243328, 36211778, 13920403, 49382248, 433509349, 123300023, 330463, 51287163, 138673085, 69861726, 391449519, 54507159, 34088334, 79409986, 117016792, 25905356, 62638649, 36979083, 9811063, 182484876, 223010872, 228589327, 202484344, 113290716, 225807495, 85660278, 138585798, 209717285, 71854774, 99846812, 107895371, 175215195, 71111100, 114725056, 159340643, 237917797, 136581299, 211461577, 291199218, 26014536, 107262533, 111822348, 35614538, 98129014, 13802806, 179471924, 21531541, 14648640, 96586250, 386062655, 66740757, 48153480, 9782277, 113507562, 65929704, 131606927, 149140566, 12141502, 5971943, 140177897, 104722467, 26179740, 29354094, 20588532, 94096309, 60974175, 63985327, 95255415, 91302664, 80116042, 63702092, 201659547, 152145799, 345623261, 23136344, 71250027, 58030268, 136862620, 125954886, 17324566, 60253242, 8702321, 19222845, 145925115, 20065544, 67706453, 15323433, 110766261, 72167454, 156062911, 22447868, 64410245, 6670334, 18629613, 158029930, 251568943, 335091254, 45380486, 246849170, 26493945, 70033820, 41638114, 134324080, 44866305, 71561743, 14187457, 88947068, 24346444, 182220662, 10094996, 2261156, 18817578, 193619970, 97987349, 4623602, 95360713, 158189237 ], [ 73278332, 13262061, 39960801, 547009, 65547195, 7829423, 81223123, 24077093, 113653614, 16677736, 42206574, 50264959, 81356656, 304926114, 18258484, 23830562, 377166747, 148363555, 113300972, 56392526, 29984501, 55711377, 54507159, 34088334, 94270814, 19474705, 132848847, 75995835, 4139590, 9811063, 35615106, 50490197, 33588870, 168893031, 188736107, 100200947, 85660278, 321137500, 86274632, 34063333, 77659118, 124550739, 88209543, 114315668, 57221722, 90281729, 8899107, 33027000, 259975157, 52133795, 26014536, 87331021, 78451727, 67955405, 17366602, 13802806, 179471924, 153935884, 14648640, 114643347, 22719135, 78529971, 33395442, 42752385, 2663878, 8767110, 107754139, 248353806, 148284062, 11128502, 22704879, 88227740, 26179740, 60270550, 20588532, 116247650, 372525778, 58780821, 50338537, 19249411, 75041106, 27889416, 105240896, 131598524, 121983198, 12526600, 23188495, 99141108, 24695045, 73828439, 167459076, 368016873, 29804875, 10578224, 97838497, 91311068, 40686868, 16829863, 142714957, 48492635, 20785401, 22447868, 30883294, 9378144, 146184908, 66126466, 30097089, 3824292, 30720515, 100691373, 21326804, 172886361, 147942757, 194734734, 136291495, 801913, 14187457, 31934816, 24346444, 83135938, 1037861, 76350134, 89669858, 35781802, 236557334, 44785241, 32505446, 158189237 ], [ 35045781, 83328899, 91521943, 71795229, 25910147, 270127773, 177347773, 86963849, 31816588, 43540580, 119367130, 74243328, 71615469, 68675439, 18258484, 63370014, 18518610, 61864217, 96589875, 128972561, 102304414, 17077039, 54507159, 6185677, 8151623, 40989572, 224429147, 46274253, 67213595, 21147669, 88277132, 9423297, 39949637, 3345264, 9919743, 106465311, 85660278, 125350875, 38507876, 109689335, 78523311, 26317362, 98787651, 67666308, 94386332, 180528193, 84757146, 5528881, 106295078, 217042657, 26014536, 90266026, 12789386, 87146758, 26675367, 86751626, 3149179, 57345974, 14648640, 28456691, 123106573, 36211929, 29004805, 15008321, 1047396, 67609819, 110304335, 20876282, 50326426, 11128502, 2989710, 142413522, 62528726, 12467909, 20588532, 226183583, 36851458, 107055693, 44841138, 7071017, 242575373, 99339, 40525522, 183263655, 202410459, 9241107, 60036240, 116548344, 24695045, 164468550, 1514068, 7492623, 80374169, 19222845, 21436866, 99126886, 136199540, 43573138, 75245992, 48566027, 126157943, 293235042, 60899828, 33373381, 18629613, 10148911, 74355201, 43313435, 11261624, 301444326, 113387444, 4488853, 108892514, 96753259, 49664995, 77874438, 14187457, 9219250, 37111253, 32468686, 1037861, 40205094, 6464083, 3030832, 106760522, 107170228, 233926784, 82023210 ], [ 52978092, 39301225, 91521943, 22543064, 86909672, 7829423, 84559906, 24077093, 16165429, 6475993, 64468441, 50264959, 71615469, 11471448, 18258484, 34146926, 32499015, 28824799, 51287163, 138673085, 69861726, 41601143, 54507159, 10261965, 14533353, 43176167, 58205030, 20904728, 85673659, 10505071, 88277132, 38606700, 92691823, 19490018, 9919743, 106027758, 28206469, 39566957, 26662702, 109689335, 161630182, 124550739, 7749134, 124972417, 94386332, 134952567, 46963576, 19064778, 116687584, 31194521, 5531939, 87331021, 78451727, 13392175, 74241463, 86751626, 163470666, 32339626, 134416530, 70766051, 46543422, 35379752, 29004805, 57173112, 28210030, 23458859, 12232, 15472893, 94420609, 11128502, 48100368, 27893575, 76469522, 11856924, 283389466, 69681164, 117494400, 39444211, 10845223, 108979105, 129403970, 629887, 24766906, 152145799, 229837530, 4804257, 48972543, 64816191, 24695045, 11347502, 28854300, 7492623, 78426205, 2279026, 30221159, 34811634, 21097016, 3374612, 17408166, 81208466, 88657518, 79870237, 52397745, 9378144, 65019221, 77268489, 2331077, 43313435, 29907715, 261165357, 31533926, 66045757, 6098787, 97437629, 204531175, 77874438, 90797639, 9219250, 16261250, 10319841, 1037861, 39880734, 6464083, 43439840, 73978516, 58947760, 185868633, 136622219 ], [ 82816544, 97085922, 38302858, 52262630, 136245013, 101134789, 81223123, 10728620, 24406483, 16677736, 51328598, 39101763, 86848865, 13949632, 18258484, 38036392, 18518610, 15831560, 51287163, 10432478, 29984501, 26082319, 52292132, 1526538, 8151623, 285087, 17558543, 31043805, 11384301, 18419991, 27479195, 48525486, 92691823, 83127092, 115003938, 7556234, 102951028, 94981046, 23580742, 36700884, 11081450, 74514401, 90763939, 22668122, 94386332, 171907556, 46963576, 15341047, 79187697, 56167796, 26014536, 24824972, 12789386, 67955405, 26675367, 34775875, 3149179, 57345974, 66967279, 17090967, 192253808, 44342411, 33395442, 80842483, 56833855, 47112353, 39578588, 20404432, 50326426, 11128502, 22308748, 48401055, 79637443, 83174504, 135088470, 66793111, 117119723, 43988455, 33790874, 26225179, 41373788, 46523739, 24766906, 45077948, 60151639, 12526600, 53628501, 116548344, 24695045, 12571273, 4822408, 304940128, 30136489, 19222845, 18516148, 73835373, 145939925, 3374612, 176178513, 48566027, 168896445, 29449738, 60899828, 21489323, 34907452, 10148911, 139907106, 27318123, 99039473, 151663916, 134330898, 51741633, 34900327, 225287492, 67308819, 77874438, 137584416, 98757284, 53494524, 7755034, 1037861, 67476139, 11425687, 3201161, 55241413, 141152380, 17662286, 158189237 ], [ 297616339, 25627318, 21330488, 308430631, 136245013, 38081745, 76975234, 71961339, 30982979, 242661700, 652602209, 74243328, 21916412, 69439694, 18258484, 18429975, 365894538, 95068538, 105733785, 138673085, 437120499, 145340171, 54507159, 1526538, 15072477, 285087, 9428168, 325756812, 4139590, 21147669, 33422527, 48525486, 117146760, 6952233, 51134334, 241874475, 277657016, 125350875, 80845195, 194479144, 122282160, 13424672, 80885695, 53333722, 94386332, 181581527, 17429274, 375422674, 223098477, 55932329, 26014536, 87331021, 72630313, 329272746, 98129014, 402335359, 42397331, 195371164, 68601867, 96586250, 452271751, 14657126, 138450864, 126875391, 180005608, 23458859, 131606927, 56098799, 277815386, 11128502, 24161176, 115550342, 196770060, 16099353, 198435522, 500007475, 172998400, 43988455, 174183529, 19249411, 272851528, 145154839, 20519188, 180422505, 155963162, 80260736, 630229891, 143590005, 24695045, 45315856, 66673514, 149185392, 191273026, 57721722, 264493512, 5232805, 49803073, 43573138, 121008510, 81208466, 269178695, 286563722, 64410245, 150340496, 108598905, 94160696, 7934829, 93866529, 26093144, 44889348, 30781213, 28372938, 157916391, 164839428, 21304739, 77874438, 452419177, 77253166, 162226585, 83135938, 1037861, 111448997, 18817578, 143940041, 37029363, 144915952, 13486249, 123716021 ], [ 82855880, 97085922, 19403589, 193929881, 119583545, 7829423, 81223123, 2963064, 44315438, 24896880, 119367130, 55136879, 13372239, 13949632, 57273016, 21034128, 44076939, 69607594, 54252897, 23242567, 14547668, 46042705, 52292132, 39791250, 4836413, 40989572, 10281903, 281250029, 3197020, 15175546, 34202976, 38606700, 52355039, 19490018, 9919743, 180270267, 35846997, 90589342, 23580742, 36700884, 188043164, 24958143, 69677418, 114315668, 131179853, 37449118, 16082988, 118014743, 79187697, 78224680, 1998295, 41060138, 57681202, 67955405, 26675367, 86751626, 55492492, 191122380, 14648640, 121519361, 18475382, 53608172, 33395442, 48164330, 109739542, 8767110, 57995239, 127901150, 94420609, 11128502, 77589226, 166078129, 104330210, 12467909, 55101405, 114667303, 142157452, 106836667, 10845223, 11209908, 49030490, 629887, 16703008, 219297705, 60151639, 12526600, 42278587, 31188035, 52984891, 18304533, 28854300, 7492623, 77572742, 19222845, 80887863, 31237302, 33887047, 35536884, 8006431, 18331308, 60341589, 13573695, 48659214, 114835017, 29586014, 30180049, 52774061, 31044122, 35164341, 61325488, 31533926, 79686694, 76815072, 76483276, 61177088, 39529471, 14187457, 86366942, 39027969, 94962878, 20569190, 67476139, 6464083, 25064537, 55241413, 4746681, 690983, 29744722 ], [ 1420552, 97085922, 74388759, 352650688, 136245013, 7829423, 14983444, 197084127, 361918523, 293448140, 52562077, 74243328, 21916412, 157318642, 33861295, 18429975, 37454307, 311084396, 139142417, 181204652, 29984501, 143748533, 52292132, 1526538, 101437440, 285087, 17558543, 41438044, 85673659, 21147669, 92938946, 48525486, 92606605, 855636745, 9919743, 85640395, 144352263, 359242541, 218003809, 36700884, 134192771, 284992417, 26020154, 10231917, 210112325, 169409337, 29968857, 6983975, 79187697, 212809955, 62487928, 4656687, 161036725, 42624056, 59857663, 165076276, 110527356, 20700434, 142362620, 9555816, 275700777, 134825481, 33234130, 3549008, 180005608, 152204219, 110304335, 20876282, 163198850, 11128502, 155970333, 233805079, 120799630, 168800894, 33275585, 116247650, 115312267, 43988455, 1008115, 1468693, 73122758, 175730700, 51414657, 152145799, 77984922, 199222617, 57954350, 143590005, 79455945, 73828439, 81626395, 7492623, 112610509, 19222845, 67678000, 141875621, 61378038, 43573138, 272014843, 91173177, 141122054, 218835269, 21893811, 634916559, 37761538, 150049881, 7934829, 173409447, 27649900, 34263153, 342052023, 27787531, 33042149, 122694045, 114931033, 77874438, 5876064, 135279616, 162226585, 8232945, 113865562, 50948067, 85358323, 97078599, 37029363, 51706520, 34395922, 158189237 ], [ 133767379, 97085922, 9024081, 217515711, 33277103, 48019938, 66484748, 87779152, 237982882, 73149890, 42493755, 74243328, 512695677, 167878245, 18258484, 83834418, 163244877, 232866924, 172683996, 128972561, 48046939, 46042705, 48133062, 79706071, 44202744, 496123184, 49421329, 252460297, 409836102, 21147669, 216228118, 212967586, 130629805, 90961544, 126871329, 53519990, 195887145, 157985940, 173057645, 194479144, 188043164, 39668587, 175215195, 93323456, 94386332, 15592275, 90365535, 5528881, 106526601, 224854834, 146246987, 426187362, 291673204, 188350636, 98129014, 75500521, 179471924, 29726447, 14648640, 280241658, 64474081, 97305873, 166247101, 48164330, 197179395, 8767110, 131606927, 8461208, 483577554, 11128502, 415249929, 109039148, 144802814, 272079305, 73733655, 32009593, 234830334, 83060934, 95255415, 171818925, 170912298, 52924452, 105240896, 26791723, 44399837, 23974405, 658034842, 45723755, 24695045, 128639937, 17501478, 322312737, 8702321, 162179577, 132602708, 104997302, 67706453, 15323433, 230720224, 9350717, 353893975, 34588769, 48659214, 28666453, 69859228, 36643396, 144230593, 178266995, 35164341, 246849170, 82443587, 35646354, 142415073, 363118021, 303024978, 71561743, 14187457, 107331995, 162226585, 85190893, 1037861, 68012621, 156908229, 78707398, 152555757, 323820977, 236524695, 59881781 ], [ 151545587, 15868218, 27156500, 34303783, 1259187, 66122324, 151570001, 69698506, 47429823, 43240855, 3134393, 17470031, 58409517, 13949632, 15046430, 72008521, 30147925, 58008113, 51287163, 209556373, 80759830, 46042705, 49929162, 39225809, 79409986, 47168326, 213782923, 46274253, 33990150, 21147669, 220066551, 143777787, 24847453, 22878865, 12399126, 22598478, 85660278, 68112369, 43082665, 125118657, 99785493, 24958143, 4528959, 119511733, 57495222, 107744868, 17594619, 75728150, 157002025, 54615929, 74064810, 10030682, 39235449, 21139736, 74241463, 420478587, 87662223, 61674512, 29944124, 101301777, 551021, 53608172, 34681879, 52583140, 124138703, 40855471, 110304335, 20876282, 21421655, 69328846, 33208833, 6038789, 207506503, 56532744, 6464747, 41768460, 17765666, 25369199, 16528031, 60822658, 35219218, 55996729, 24766906, 94282760, 11521245, 22740229, 5991076, 85914021, 10640570, 34044193, 69689975, 9952316, 138532467, 19222845, 27039081, 129491509, 150282844, 34104171, 110766261, 32328827, 135927629, 5644033, 53806064, 88710090, 18629613, 4475135, 2402960, 55115842, 118933817, 3674981, 105299044, 173416353, 34900327, 3457816, 35140652, 77874438, 82120462, 26257979, 16134099, 51565532, 1037861, 25533915, 6180329, 76239055, 19637592, 132388838, 73978564, 19889785 ], [ 82816544, 83328899, 40672129, 109799503, 98494028, 143782622, 120464824, 13114220, 35928542, 16677736, 112927369, 39101763, 86848865, 11471448, 57273016, 18429975, 10545885, 115646117, 48861320, 56323737, 38320394, 228018192, 54507159, 27454299, 15072477, 6968936, 107993210, 75995835, 36979083, 9811063, 171303514, 23768020, 74639155, 187451739, 12399126, 128336442, 31600162, 397428345, 82843228, 194479144, 30038884, 7658704, 2411081, 83732795, 36597070, 89998484, 46963576, 33027000, 28791263, 52133795, 26014536, 10030682, 15119195, 67955405, 17367022, 13802806, 77599777, 47929753, 160279231, 101681779, 10077062, 66316249, 48014926, 10703012, 47034668, 105786545, 90619610, 11729070, 32021005, 8937545, 22704879, 24264615, 26179740, 97447020, 27303075, 9150512, 142157452, 62078491, 43615876, 26225179, 8213627, 8458128, 24766906, 33996742, 74899291, 23136344, 96107183, 91342936, 52424576, 209445423, 53095064, 15589574, 47854487, 4947472, 103895466, 10775889, 45585018, 43573138, 89552030, 67418016, 19252734, 22447868, 48659214, 2842731, 165357810, 23842201, 2867946, 22296772, 35164341, 132104888, 87379246, 70875298, 6098787, 172232867, 179077804, 77874438, 1330228, 231635349, 24346444, 226783009, 78811485, 224678110, 12531957, 35781802, 127778075, 72498672, 182208310, 82023210 ], [ 5468845, 83328899, 21464014, 27543629, 68797297, 7829423, 40798206, 24077093, 11568794, 43540580, 41492799, 28429720, 54497078, 32096372, 18258484, 4605955, 68076701, 8960988, 9269306, 28941804, 48757041, 29508128, 47898596, 3611071, 21710163, 43176167, 26468430, 75995835, 4139590, 9811063, 56264880, 36577578, 28190702, 102406692, 9919743, 100200947, 15948992, 201183858, 23174927, 85978857, 5403292, 24958143, 3439833, 72466057, 7248455, 41088252, 46963576, 9025609, 92960634, 85786520, 2550892, 38680821, 62356706, 30067172, 17366602, 10654555, 21875100, 46697041, 14648640, 30875112, 110725711, 139624061, 33261372, 15008321, 44302015, 8767110, 640678, 11729070, 63628992, 8937545, 22704879, 27893575, 26179740, 28358421, 20588532, 4207067, 79603216, 71500726, 10845223, 1081391, 76332171, 33612121, 24766906, 64944390, 7835358, 23136344, 35787454, 15301898, 24695045, 73828439, 1357031, 7492623, 112610509, 19222845, 7781366, 75897377, 9904138, 43573138, 142714957, 30702354, 12906696, 9498304, 56859134, 18143679, 29586014, 2904225, 14934828, 43313435, 35164341, 78000180, 26595740, 2799629, 24563170, 85630455, 157498963, 226901, 4778538, 9219250, 24346444, 83135938, 1037861, 32994242, 15840429, 4241466, 40782327, 147800074, 54663602, 30992438 ], [ 70119106, 52344162, 91521943, 157120283, 136245013, 38081745, 81223123, 71961339, 14564960, 77985592, 119367130, 74243328, 71615469, 69439694, 72549239, 2485275, 148249129, 95554627, 51287163, 12230160, 29984501, 26082319, 54507159, 167488268, 194673479, 117016792, 255104676, 133600923, 19995754, 14942979, 136421089, 188919044, 130629805, 83127092, 9919743, 107832548, 277657016, 49917506, 64238106, 96033270, 48001691, 21288678, 98787651, 55240504, 233310978, 13424181, 91975986, 57322508, 85087441, 223094416, 26014536, 87331021, 12463154, 165173119, 19560718, 86751626, 17500540, 74767847, 13505037, 159317151, 35918504, 35379752, 17095974, 32744536, 78762532, 23458859, 131606927, 146382436, 65801535, 11128502, 3741901, 104722467, 129042359, 11856924, 76814743, 38454805, 304789851, 53817674, 145075117, 140724751, 209404083, 172954417, 30072168, 140116245, 75852891, 158250553, 32068275, 122983024, 206128474, 73828439, 119485024, 7492623, 78426205, 19222845, 264493512, 5229812, 5674697, 43573138, 46980226, 81208466, 207472463, 218835269, 48659214, 166966288, 79147676, 58838564, 30097089, 43313435, 35164341, 63829230, 310116407, 152283894, 34900327, 138495852, 103158879, 12788432, 221657, 9219250, 39902837, 90719241, 43942944, 175745198, 87110961, 78707398, 155506352, 83112910, 185868633, 158189237 ], [ 166188716, 31010601, 40672129, 22700031, 6613075, 7829423, 119495296, 55032171, 179822799, 94051643, 27512493, 1616244, 19463265, 63070458, 61659256, 35449505, 105084046, 2869036, 136410397, 40350921, 54155845, 49296390, 40074648, 11870919, 7507451, 86822027, 6055446, 46274253, 85673659, 21147669, 72960267, 153990073, 6963277, 120120523, 183873020, 22598478, 122829624, 28772929, 28083375, 26723723, 10758040, 38259846, 4528959, 25675348, 151638656, 5564078, 16082988, 49292607, 79187697, 67263736, 18112367, 10030682, 44189640, 68454388, 19552087, 11735842, 17545915, 134823790, 14648640, 21392781, 3042389, 44523339, 148025001, 13193670, 120005130, 32031596, 9199391, 20876282, 24018187, 138417065, 26014760, 57576055, 166173207, 67787512, 23744880, 116247650, 24659440, 26007789, 16064167, 117847711, 80116042, 2297877, 205135835, 59032172, 595677, 4804257, 12729630, 49568447, 176370436, 73828439, 1514068, 70831531, 25184449, 19222845, 147435032, 19159805, 26063013, 43573138, 14445196, 1955502, 43508297, 44820657, 12279330, 28107, 29603894, 14180180, 19338823, 33012513, 53895569, 25228021, 45310466, 47236326, 49908967, 72229458, 19912328, 3632897, 14187457, 9219250, 39027969, 7707426, 109729103, 67476139, 49654188, 49853033, 77755570, 34389479, 34998719, 10384455 ], [ 54150286, 11923145, 44465439, 14325490, 33277103, 19122126, 34444996, 7341564, 31816588, 43540580, 111594686, 12897912, 23299971, 42278554, 140173689, 63370014, 49526713, 44778422, 56787964, 138673085, 17088587, 118009155, 45201766, 34088334, 4836413, 47168326, 138529806, 158846574, 4139590, 6847388, 2273841, 48525486, 13192576, 19490018, 9919743, 122794647, 13221750, 63446251, 23580742, 2170826, 158735679, 74514401, 98787651, 65721239, 9470869, 108955243, 8899107, 87623488, 60031440, 16255500, 2885522, 66838840, 10411787, 13392175, 74241463, 37183143, 6760023, 4698523, 25272896, 27143142, 22719135, 110340308, 74320716, 7969807, 1958271, 42097710, 24437450, 66914259, 7445093, 11128502, 19021482, 128499382, 30349289, 12467909, 11061698, 51136416, 8640914, 22464142, 24397799, 19249411, 34159485, 14924600, 24766906, 124953413, 604504, 23136344, 21296331, 65859679, 51205941, 32243917, 28854300, 7492623, 8702321, 19222845, 20286424, 5232805, 9904138, 15323433, 72877237, 20694858, 90727368, 79870237, 48659214, 40609806, 72897046, 36643396, 52774061, 39802950, 35164341, 39156272, 27387646, 119115535, 135267, 38854668, 124173969, 36786988, 24807458, 9219250, 52303884, 83135938, 155465209, 39880734, 6464083, 78707398, 260688887, 49930682, 54663602, 122000319 ], [ 24568957, 83328899, 10585990, 69272431, 25910147, 39083915, 123781816, 117500891, 46372165, 71013518, 3134393, 40185144, 35578353, 307610120, 18258484, 296911187, 59202551, 4961308, 20984027, 39376068, 48757041, 77374745, 54507159, 34088334, 79409986, 197423493, 136676877, 4592023, 67213595, 21147669, 182484876, 242606352, 63338930, 108616651, 126871329, 137035955, 15948992, 2354316, 131021875, 159808434, 11142073, 83518790, 114412716, 124972417, 56922905, 99432566, 269395412, 5528881, 95114605, 169784130, 27794976, 24517385, 51243350, 16235886, 17366602, 100199487, 155570328, 46697041, 11163758, 27780615, 373914601, 163526627, 89098394, 14707594, 25872681, 119858516, 6398732, 107018213, 36603489, 653198, 51202495, 14483268, 81767180, 42609276, 97251691, 129627207, 60974175, 4232416, 23683780, 102085800, 22987260, 60270032, 96843841, 85106042, 115619223, 23136344, 125536885, 143590005, 24695045, 73828439, 207822577, 194630, 26591430, 19222845, 97838497, 44916132, 9904138, 43573138, 34881830, 30702354, 60218234, 106473325, 45726584, 6670334, 18629613, 36643396, 160122026, 55115842, 35164341, 50226361, 95156731, 101662292, 34900327, 95010185, 303024978, 76708615, 14187457, 35384173, 35958358, 11520981, 1037861, 35192965, 89728811, 30294394, 158632138, 86728952, 4729594, 30789880 ], [ 87455288, 97085922, 9024081, 80487212, 33277103, 48019938, 124487828, 24077093, 153079691, 47270693, 140099658, 74243328, 71615469, 73670532, 18258484, 44486606, 109549644, 100916371, 51287163, 28941804, 7183235, 118009155, 48133062, 548401, 116257715, 43176167, 257285559, 252460297, 85673659, 21147669, 36342808, 145281346, 67425303, 90961544, 9919743, 36560465, 63106285, 55837967, 182399285, 79965470, 115515513, 24958143, 98787651, 27009633, 94386332, 28998934, 45977162, 5528881, 120291076, 3728851, 26014536, 87331021, 78451727, 29646401, 98129014, 7498357, 75770217, 8221730, 14648640, 34069127, 189633625, 97305873, 90273115, 23951579, 8488707, 127449548, 128874085, 12512447, 45906995, 11128502, 41273537, 53642447, 59956362, 118429636, 20588532, 178677052, 15003197, 40460042, 95255415, 69209391, 45404420, 10158467, 93224471, 26791723, 159680156, 23136344, 192082432, 143590005, 24695045, 73828439, 5992306, 7492623, 8702321, 7284989, 15727200, 44916132, 67706453, 15323433, 142714957, 9350717, 159855450, 79870237, 64410245, 28666453, 16368907, 36643396, 14805064, 21571738, 35164341, 106480984, 31533926, 76713074, 108892514, 30174186, 54105713, 71561743, 14187457, 107331995, 67120051, 32762217, 1037861, 67476139, 86384993, 78707398, 208043842, 86728952, 174581325, 59881781 ], [ 36165227, 72056543, 91521943, 80487212, 33277103, 203989479, 81223123, 117250155, 83769184, 124515762, 151853792, 6326504, 61825716, 58224974, 18258484, 237946600, 73125700, 19389943, 10190847, 128972561, 29984501, 330793139, 54507159, 162745251, 84389921, 64421965, 2806988, 21223513, 4139590, 21147669, 216228118, 50490197, 130629805, 116455831, 9919743, 49758345, 89979232, 10306670, 225417234, 48807174, 5362737, 471701155, 67569989, 744442, 1994469, 72681927, 21732457, 5528881, 4656625, 136035012, 26014536, 113064738, 108005934, 175944293, 76098796, 34775875, 31904940, 104546487, 14648640, 148854209, 315269703, 6165608, 33395442, 48164330, 47388679, 10159033, 131606927, 121142618, 151621475, 11128502, 1316220, 104722467, 162798124, 28358421, 138924206, 11218434, 39107390, 185524520, 44841138, 19249411, 116782874, 4737400, 93224471, 96916971, 371790041, 23974405, 60036240, 143590005, 24695045, 217726392, 21257205, 7492623, 8702321, 19222845, 82442861, 5229812, 113461032, 15323433, 257803294, 210341802, 131759304, 57308569, 64410245, 33373381, 31349162, 70755516, 56586047, 1636840, 35164341, 94194490, 96318281, 4488853, 108892514, 57123207, 22196166, 71561743, 14187457, 134822716, 1536601, 83135938, 1037861, 25789892, 13062935, 3030832, 58458180, 224365826, 54663602, 119904947 ], [ 254535102, 22529708, 91521943, 51594079, 136245013, 16481110, 81223123, 71961339, 60669111, 124515762, 126992149, 74243328, 4691642, 43984272, 57273016, 36941127, 109549644, 32254316, 118656017, 12230160, 1549220, 174405802, 22595280, 34088334, 21710163, 108835945, 26258019, 46274253, 3943856, 9811063, 35045319, 19256234, 47875598, 169626572, 9919743, 2245746, 89979232, 51638926, 73779180, 26723723, 5362737, 7658704, 86034536, 41882169, 156118526, 30626675, 3890878, 99001562, 32302958, 3728851, 111077054, 7980156, 109646836, 67955405, 98129014, 10654555, 55492492, 112440060, 77873119, 99788052, 56427146, 53945050, 33395442, 170346266, 2074312, 137077539, 15992022, 20876282, 21940924, 11128502, 73338336, 155566704, 65771, 60270550, 55101405, 51136416, 135325922, 156856293, 54828005, 19249411, 94367292, 4737400, 27868436, 19595670, 126310621, 23136344, 53873620, 103171910, 33113321, 73828439, 21257205, 7492623, 45213767, 19222845, 169536666, 5229812, 62659358, 43573138, 8006431, 104335650, 60380772, 22447868, 64410245, 2842731, 29603894, 58838564, 30097089, 80468152, 35164341, 39156272, 31533926, 116693098, 1250663, 177560080, 256508228, 12788432, 118035811, 8593631, 1536601, 20039741, 51613150, 137454732, 17832662, 28196801, 9124814, 49757387, 54663602, 69968347 ], [ 74224127, 97085922, 91521943, 112693874, 25910147, 289421284, 366537906, 281574122, 230269070, 71013518, 471320183, 74243328, 65689087, 405178711, 18258484, 269259499, 123300023, 243656709, 348611089, 124841748, 16563273, 139124357, 54507159, 146725858, 79409986, 43176167, 11424391, 76582235, 65657951, 14942979, 216228118, 145281346, 97691276, 108616651, 38302511, 406693726, 80369532, 63631160, 27799498, 194479144, 99846812, 24958143, 128788645, 124972417, 94386332, 62203086, 59687196, 11190101, 103442896, 19628645, 336912445, 335338763, 132272177, 75843712, 98129014, 137840288, 179471924, 21531541, 70653456, 84680721, 386062655, 90264066, 164243119, 23951579, 25872681, 61600159, 131606927, 55342652, 17798266, 11128502, 119196913, 345390576, 81767180, 272079305, 276147663, 20996198, 60974175, 4232416, 202824160, 91302664, 158906858, 60270032, 162886743, 57863638, 348954142, 67410814, 60036240, 103012952, 24695045, 87645455, 208942090, 316262090, 26591430, 19222845, 19873595, 44916132, 67706453, 3240417, 110766261, 14989155, 60218234, 76039865, 64410245, 41082837, 18629613, 36643396, 186998479, 291684690, 114570971, 24617554, 165062655, 4488853, 73257697, 134324080, 303024978, 76708615, 48719828, 84967719, 64666072, 118754640, 1037861, 75953560, 113648902, 193619970, 78854301, 2330188, 113571343, 158189237 ], [ 48319627, 97085922, 91521943, 80487212, 136245013, 49829016, 123781816, 121415900, 47429823, 237211386, 151853792, 12932150, 13688128, 70896706, 18258484, 79205732, 20561983, 334044378, 68667659, 40620308, 27114665, 46042705, 54507159, 34088334, 45738921, 18695287, 150830222, 109373273, 42009311, 21147669, 182484876, 242606352, 130629805, 84314686, 253126807, 187147653, 15948992, 63631160, 27799498, 92859541, 85422202, 39668587, 16102651, 124972417, 94386332, 62203086, 46963576, 36292908, 103983920, 224854834, 195036129, 241774180, 138726360, 49539256, 8095477, 34775875, 87289064, 398654454, 14648640, 182079177, 247052010, 163526627, 166247101, 1887619, 135665876, 213830117, 107754139, 59124870, 184576575, 11128502, 65080746, 154347737, 144387996, 272079305, 8224503, 20996198, 102379820, 129876781, 95255415, 108979105, 158906858, 176068714, 24766906, 223345703, 61609566, 23136344, 120078577, 143590005, 24695045, 87645455, 207822577, 242139746, 170575126, 64717176, 19873595, 95811795, 159063486, 43573138, 257803294, 32328827, 202245227, 162367441, 64410245, 414450519, 168145380, 134518649, 107522849, 186838842, 35164341, 49044164, 35522874, 466064307, 1957091, 85561760, 256508228, 77874438, 14187457, 84967719, 65373577, 227634995, 1037861, 61494029, 201398144, 78707398, 74124488, 72194092, 194455763, 1406978 ], [ 63235793, 97085922, 111718042, 367284122, 136245013, 7829423, 163186445, 108374213, 30509853, 111941412, 151853792, 74243328, 71615469, 82164340, 18258484, 173906303, 519436539, 1320109, 51287163, 66383171, 16563273, 152692209, 54507159, 125399238, 101437440, 43176167, 85139712, 8874972, 36979083, 9811063, 216228118, 45632430, 40279073, 435072223, 9919743, 214769622, 80369532, 63631160, 217041723, 112909507, 156916209, 38197456, 69919295, 119511733, 83443987, 181581527, 59687196, 262047619, 102949115, 147982748, 433180010, 86665551, 101180211, 232049300, 5938717, 10654555, 177760154, 308416947, 182997948, 221127417, 312421737, 48287149, 38504136, 74046888, 135665876, 48789712, 110304335, 20876282, 92227861, 11128502, 104453427, 104722467, 26179740, 118429636, 20588532, 38468854, 102379820, 25369199, 76316761, 105789928, 76332171, 176068714, 188824309, 57863638, 45295132, 121328814, 120078577, 143590005, 24695045, 73828439, 336681594, 7492623, 368900076, 108569573, 19873595, 65146730, 241640004, 43184542, 46240026, 148252258, 18353952, 22447868, 64410245, 41569355, 339984246, 47715831, 160122026, 291330493, 35164341, 98398162, 342052023, 152283894, 93898343, 284485784, 21042131, 77874438, 205476541, 84967719, 24346444, 94962878, 1037861, 3530499, 85358323, 78707398, 113887119, 168906882, 54018480, 1406978 ], [ 60275296, 97085922, 91521943, 80487212, 33277103, 48019938, 103215676, 227765, 212813808, 300846091, 151853792, 74243328, 129802786, 307610120, 43728444, 364558362, 49526713, 220025103, 14502095, 56392526, 35518522, 91994350, 48133062, 34088334, 34078856, 43176167, 149956506, 75995835, 4139590, 21147669, 91018882, 197656724, 130629805, 139842817, 126871329, 229013731, 85660278, 370655205, 164793206, 84044942, 29972900, 19994467, 175215195, 124972417, 220273962, 72681927, 9087650, 5528881, 65061345, 80247657, 136717307, 17067399, 246096465, 188350636, 8513457, 34775875, 3093796, 21531541, 14648640, 53155979, 416883383, 97305873, 166247101, 48164330, 25872681, 180195102, 12653804, 111013474, 17798266, 1935283, 22704879, 154347737, 43998752, 60270550, 20588532, 129627207, 60974175, 4232416, 95255415, 19249411, 256603822, 176068714, 93224471, 26791723, 52696793, 23136344, 60036240, 143590005, 48669013, 32243917, 22608583, 154357584, 8702321, 93376594, 82442861, 90221598, 63174826, 15323433, 186599499, 72167454, 353893975, 76039865, 64410245, 28666453, 85474705, 18866415, 160122026, 105191217, 35164341, 204904149, 363333311, 4488853, 142415073, 134324080, 240354627, 24958727, 14187457, 107331995, 65373577, 83135938, 10434435, 25170761, 101441190, 78707398, 11198978, 161241580, 54663602, 20277845 ], [ 17177338, 22529708, 15359576, 74511019, 25910147, 7829423, 18080651, 5256424, 2649545, 71013518, 86101458, 50264959, 71615469, 82164340, 18258484, 118994575, 18518610, 44778422, 7011872, 138673085, 110447100, 238749599, 54507159, 34088334, 8151623, 43176167, 236527341, 8874972, 36979083, 9811063, 31547838, 168761891, 40279073, 198581054, 9919743, 122608888, 59995746, 397428345, 189868541, 194479144, 85422202, 19494935, 98787651, 84396464, 94386332, 181581527, 351962519, 100859830, 102949115, 13572604, 15383545, 87331021, 12789386, 128500669, 17366602, 10654555, 15352498, 57345974, 24973452, 63198176, 303866861, 152182061, 164243119, 18458945, 189214701, 123570736, 98935015, 38070839, 50326426, 11128502, 31594276, 104722467, 26179740, 118429636, 20588532, 116247650, 50306526, 58780821, 169109617, 3717106, 162291132, 83611626, 36793278, 156836487, 120583322, 23136344, 13771790, 143590005, 24695045, 73828439, 218992950, 7492623, 126269633, 19222845, 22712310, 44916132, 9904138, 26066326, 93765590, 30702354, 267495701, 648182, 425359, 9378144, 18629613, 246766272, 47583747, 58570577, 30720515, 95723716, 114426146, 70875298, 82641380, 259420844, 136291495, 77874438, 123359600, 202061531, 19023435, 10524672, 1037861, 76350134, 42588793, 78707398, 208043842, 49757387, 73978564, 67233739 ], [ 72452949, 59730502, 20551867, 22700031, 25910147, 19122126, 47792185, 84412933, 22812871, 53988238, 60840185, 23730540, 71615469, 48140437, 18258484, 65895693, 35635354, 23532315, 21718356, 56392526, 1549220, 118009155, 761043, 27588342, 1830157, 23604150, 130146981, 8874972, 4139590, 21147669, 35615106, 1452202, 28687915, 19490018, 6065635, 14345099, 85660278, 38463360, 10949511, 34580727, 29233611, 37160307, 98787651, 29065638, 57495222, 76522246, 16984205, 72087043, 47375821, 2414303, 25254793, 87331021, 10215045, 24637582, 47110452, 4033631, 124564827, 6045037, 14648640, 65594937, 3778353, 24647788, 45143953, 7969807, 18547858, 112387958, 64779567, 20876282, 25329720, 11128502, 22704879, 16121748, 43998752, 12467909, 20588532, 11379648, 5092162, 40748959, 29846511, 1081391, 15325276, 74072976, 16840117, 45935675, 176540441, 23974405, 1689185, 25723610, 24695045, 56724625, 28854300, 7492623, 7037107, 19222845, 157032927, 15454994, 5674697, 43573138, 110766261, 30702354, 272743679, 6227883, 64410245, 116017510, 12463197, 4696912, 137127003, 3824292, 118933817, 103971788, 2063788, 74958281, 1250663, 102948098, 27395058, 57109939, 14187457, 61915714, 16134099, 3828033, 1037861, 61610043, 6180329, 21025070, 70979084, 23493697, 936441, 10498243 ], [ 224415304, 13262061, 3161816, 51594079, 136245013, 19122126, 115046075, 18298807, 70125090, 93775910, 33741451, 60970584, 71615469, 75666424, 36634874, 18429975, 22948360, 172427112, 106435934, 62336961, 36090930, 202963759, 46797033, 34088334, 115019374, 3680525, 56871174, 2566108, 4139590, 9811063, 145809542, 19256234, 121021339, 18212595, 9919743, 22598478, 277657016, 185772049, 562100, 26723723, 34590872, 30692901, 98787651, 41882169, 45483235, 97710572, 3890878, 145062040, 211461577, 85786520, 33101036, 87331021, 182851259, 67955405, 98129014, 13802806, 77122319, 6045037, 14648640, 62180514, 19837700, 106226939, 126398907, 7969807, 145332697, 23458859, 131606927, 11729070, 32288379, 8937545, 94932526, 93778652, 26179740, 12467909, 55101405, 45985737, 10421170, 83060934, 52479638, 19249411, 78255223, 33612121, 76929319, 59730645, 82175132, 23136344, 56209145, 127237482, 75863368, 73828439, 28854300, 7492623, 124964363, 19222845, 99527334, 5229812, 19207569, 43573138, 8006431, 34800999, 5299018, 22447868, 64410245, 132992065, 29603894, 6358199, 127582741, 123285151, 35164341, 94194490, 31533926, 75624451, 45877217, 128440968, 56142215, 77874438, 14187457, 2726960, 19888394, 3923120, 146416411, 58107935, 6464083, 14147659, 69495799, 361241342, 54663602, 53692391 ], [ 109240973, 97085922, 91521943, 80487212, 136245013, 7829423, 42526966, 239880669, 14667533, 234345006, 379775294, 58519521, 29005768, 91182711, 49382248, 349587765, 93967487, 58008113, 2576077, 138673085, 20219228, 46042705, 54507159, 90442491, 116257715, 259288913, 112493019, 71622762, 4139590, 21147669, 157073154, 99134017, 130629805, 144071866, 9919743, 927489, 277657016, 234806902, 562100, 101321538, 6402498, 39668587, 98787651, 107806842, 236692745, 72681927, 84757146, 125381531, 1953595, 223778508, 26014536, 461245627, 214583866, 282225249, 22373149, 355257987, 24625687, 64185138, 14648640, 182339053, 61606123, 163526627, 166247101, 48164330, 589271075, 152204219, 131606927, 90560252, 487167543, 11128502, 399080408, 154143164, 104311314, 60270550, 26838397, 116247650, 60974175, 83060934, 95255415, 19249411, 145235399, 109922148, 93224471, 531061205, 185240670, 23974405, 155554744, 104721923, 32125681, 136403541, 216535386, 7492623, 26591430, 320982202, 149063548, 253042835, 24710578, 33673721, 90706319, 14035860, 433252336, 106473325, 28544756, 431741214, 135848565, 2457415, 9661115, 58570577, 147019883, 246849170, 16988394, 152283894, 54272099, 21702030, 238769300, 17007487, 14187457, 107331995, 162226585, 83135938, 103526719, 146846676, 142662399, 193619970, 80028217, 248897908, 54663602, 158189237 ], [ 135304059, 148082447, 40480677, 26799884, 64771938, 7829423, 82241178, 11897524, 117469771, 71013518, 119367130, 74243328, 71615469, 62120632, 50053741, 190599611, 48709572, 69607594, 34562533, 128972561, 1887686, 82486154, 52136153, 261431729, 79409986, 117016792, 30126758, 83863624, 4139590, 9811063, 91018882, 144623588, 264503059, 187451739, 9919743, 51841478, 89979232, 156456857, 138696364, 37153598, 35327262, 23347262, 84011763, 124972417, 239972320, 71780293, 151262290, 5528881, 158281515, 149130618, 26014536, 10030682, 90500402, 25593956, 17366602, 13802806, 56825019, 6045037, 14648640, 46854827, 173182321, 97305873, 83586451, 7969807, 8488707, 8767110, 20160336, 46848285, 146505011, 11128502, 65080746, 58098580, 26179740, 60270550, 83094609, 116247650, 60974175, 185524520, 52479638, 19249411, 227676368, 176262770, 61210535, 47230809, 43412957, 23974405, 127116339, 97802999, 48669013, 128639937, 90395189, 7492623, 18663693, 19222845, 60854711, 21673371, 40686868, 43573138, 74113091, 38867682, 2319029, 22447868, 64410245, 28666453, 32886959, 59180094, 92981473, 49942613, 88565533, 271096793, 16988394, 47551716, 54272099, 64369966, 15882741, 46921763, 14187457, 2726960, 10387097, 42545695, 10094996, 67476139, 34312063, 34513947, 109867694, 86728952, 28458638, 28598678 ], [ 155654907, 37116659, 20675186, 52262630, 136245013, 7829423, 63043790, 24139189, 47429823, 69172837, 42493755, 58519521, 8799657, 19170202, 140173689, 399909863, 148249129, 44778422, 51287163, 138673085, 17088587, 462128220, 54507159, 27454299, 4836413, 43176167, 10138301, 139257896, 4139590, 14942979, 31500253, 94730687, 168067667, 91141172, 9919743, 138129584, 85660278, 94981046, 108183414, 194479144, 156916209, 124550739, 98787651, 124972417, 251836186, 157333757, 46963576, 47088737, 228031522, 26796532, 26014536, 87331021, 133237065, 92891291, 74241463, 1188044, 24442330, 7865970, 14648640, 17090967, 409288032, 334796422, 41935063, 48164330, 116251828, 138530312, 37979439, 107018213, 114870372, 11128502, 140177897, 59631207, 104330210, 60270550, 20588532, 49951593, 142157452, 71500726, 43116733, 19249411, 208530050, 10158467, 24766906, 81808325, 42160984, 23136344, 296673509, 112132347, 36523646, 73828439, 190492502, 7492623, 98587144, 140883167, 180742795, 104997302, 9904138, 43573138, 228022515, 30702354, 141799632, 337578535, 41300367, 192173213, 19451382, 246766272, 52774061, 58570577, 35164341, 190974156, 31533926, 52679508, 1250663, 89690985, 27117458, 40457437, 14187457, 119569578, 65373577, 22717768, 103526719, 76350134, 49873395, 78707398, 116815296, 83429861, 54663602, 69671491 ], [ 1420552, 37116659, 9024081, 311917730, 39399868, 7829423, 93622030, 28133036, 206993871, 69172837, 7952411, 74243328, 8184013, 99463190, 22218181, 10415157, 83044462, 58778474, 11188232, 56392526, 17088587, 46042705, 44167442, 28702069, 4836413, 18556904, 157476710, 75995835, 4139590, 21147669, 50069238, 30479417, 42489894, 4751188, 9919743, 927489, 57891213, 1971728, 47927218, 5535505, 142825120, 39668587, 75888600, 40105775, 24402478, 143827251, 11561799, 125381531, 69562200, 88273167, 6678859, 15485457, 15506880, 33034785, 81115741, 22457690, 23733197, 7865970, 14648640, 50062352, 120708208, 163526627, 11604445, 48164330, 109520349, 50491024, 131606927, 12512447, 38753358, 11128502, 22704879, 53898086, 43998752, 60270550, 33384915, 116247650, 41818705, 6661375, 43116733, 19249411, 17213102, 70360465, 157218050, 135975560, 132605470, 23136344, 15466587, 93524764, 52984891, 148005474, 89871715, 7492623, 149201770, 19222845, 15727200, 131758857, 39766765, 2510940, 47426181, 9350717, 24297952, 70501650, 26338059, 105013486, 37761538, 60881301, 52774061, 21571738, 14883845, 111486904, 158431321, 5418964, 13744738, 2523889, 35871172, 17007487, 3124469, 183309476, 162226585, 4788099, 1289252, 22470222, 13840029, 44270681, 208043842, 7669582, 34395922, 59881781 ], [ 36165227, 97085922, 42492388, 31312792, 136245013, 7829423, 129023058, 64711383, 30982979, 146809552, 20881226, 28429720, 11184496, 97544519, 36634874, 18429975, 44076939, 55033588, 29159332, 138673085, 57071156, 53590094, 54507159, 34088334, 21563779, 3571107, 7518371, 173631820, 4139590, 21147669, 136375352, 77820617, 130629805, 112480963, 27966407, 107832548, 118469328, 12448949, 562100, 57103513, 128097658, 10259202, 93498736, 124972417, 37413508, 116084443, 46963576, 28112758, 153289754, 223094416, 16019478, 60605180, 145425496, 139870219, 21224322, 161296176, 48212736, 6045037, 14648640, 15659086, 142815883, 12344388, 19574660, 7969807, 189214701, 23458859, 40681939, 46647848, 21700668, 11128502, 119998252, 30585461, 2585693, 28358421, 12105143, 69681164, 142157452, 88250247, 52479638, 19249411, 67281933, 35924575, 24766906, 21965173, 94396060, 23136344, 127116339, 33862770, 35901352, 45315856, 1357031, 69099640, 150192825, 19222845, 43791318, 5229812, 26063013, 43573138, 50992247, 81208466, 109175368, 52802580, 15308883, 25231044, 7562204, 6263399, 46887196, 92038534, 7607247, 13010805, 26595740, 18245555, 110012260, 75222315, 303024978, 77874438, 14187457, 2726960, 39902837, 7574241, 271186117, 29017283, 6785485, 78707398, 124456633, 83112910, 54663602, 20795764 ], [ 6925873, 38167608, 43139594, 74511019, 94269496, 123543757, 146052228, 7341564, 11338106, 27149587, 11836062, 74243328, 27368927, 39175709, 57273016, 110662921, 18518610, 28824799, 32514261, 1236975, 7083997, 46042705, 49257403, 5971639, 7756224, 4398115, 16674892, 39720231, 85673659, 18419991, 32318278, 30479417, 40148963, 20334138, 9919743, 22598478, 16958417, 581126, 110155120, 162413002, 124829765, 39668587, 48059919, 14634790, 39853586, 3379781, 28285160, 98960917, 61156126, 16255500, 24144608, 69011675, 12789386, 40328191, 3646078, 10654555, 27848605, 4698523, 27541038, 27143142, 6652893, 24647788, 80522060, 59464778, 6432057, 28634471, 68576689, 101428295, 50326426, 11128502, 65080746, 49731275, 2585693, 1839938, 61216899, 163075251, 8172015, 25369199, 29846511, 14473317, 12183523, 75580403, 11914058, 23507974, 26850711, 23136344, 83022485, 78160602, 52984891, 16578476, 41389283, 7492623, 112610509, 19222845, 8826323, 5229812, 27559469, 14280183, 65795867, 22455383, 12906696, 79870237, 42410573, 104774504, 19937624, 10148911, 2331077, 77764708, 12821873, 94194490, 286227814, 18245555, 1250663, 31420260, 162901039, 39529471, 15480159, 26106100, 6556908, 8414940, 101036981, 67476139, 919956, 12797032, 11770568, 98178853, 39011870, 8385885 ], [ 61560207, 22733343, 91521943, 126079713, 33277103, 19122126, 18967964, 118342165, 47429823, 45777609, 15416340, 74243328, 8799657, 60310853, 13696899, 54107751, 998254, 148363555, 208844350, 131129715, 29984501, 83754180, 54507159, 16439853, 32404941, 43176167, 41163222, 31043805, 4139590, 21147669, 125661117, 125103410, 108507156, 86439671, 9919743, 18914570, 46366226, 218850341, 217041723, 61987849, 87342850, 61582227, 56599538, 27617494, 85409986, 10151165, 46963576, 102864260, 84387194, 89121664, 26014536, 10271314, 45328380, 49755262, 74241463, 11735842, 62455482, 6045037, 11163758, 1753138, 130533250, 37022281, 33395442, 7969807, 23346617, 28326056, 112641457, 38589562, 137942192, 3807850, 18298946, 3453250, 129111987, 60270550, 105449809, 24883461, 41616274, 104326906, 52479638, 19249411, 86827654, 73455007, 23898966, 14250187, 74269146, 158250553, 78798109, 143590005, 37520657, 123595886, 21036341, 7492623, 8702321, 66353276, 131071340, 5232805, 53538532, 15323433, 43852091, 82379273, 138193814, 42565006, 22173503, 51432934, 103376979, 3647145, 4325596, 51136326, 35164341, 167225044, 1079533, 75624451, 108892514, 184240215, 23536374, 9524705, 207388800, 122730935, 1231057, 83135938, 7805551, 9601057, 42386113, 30718796, 82142274, 29646304, 54663602, 44242206 ], [ 201061402, 13262061, 91521943, 56177437, 136245013, 7829423, 81223123, 10728620, 11338106, 196980294, 119367130, 74243328, 84520594, 174118816, 57273016, 163994788, 19799091, 44778422, 259092006, 111621029, 29984501, 183131299, 54507159, 34088334, 130364319, 47168326, 311684793, 82291641, 4139590, 21147669, 182484876, 11282436, 33744510, 87829367, 130064242, 52372869, 140274632, 231171226, 23580742, 106650687, 5540999, 56149563, 61342179, 114315668, 91602753, 99132640, 10950694, 82183517, 215553489, 85786520, 26014536, 72386568, 24439858, 67955405, 17909896, 86751626, 17628513, 6045037, 37915917, 71179113, 101470147, 285853058, 33395442, 7969807, 185326835, 98984836, 131606927, 38589562, 121534562, 11128502, 94932526, 118387951, 104330210, 20330484, 50378836, 24883461, 73825580, 42323640, 4764066, 3400982, 76332171, 15312094, 24766906, 152145799, 129565082, 12526600, 256607752, 116548344, 36523646, 305794570, 119485024, 97366812, 77572742, 7147071, 25784813, 5232805, 9904138, 43573138, 120942694, 30702354, 36088495, 127355822, 60899828, 92042995, 44397783, 66126466, 55340260, 199328976, 78632075, 98822938, 31533926, 244499501, 270674151, 127184888, 144199753, 77874438, 123359600, 37156142, 162226585, 22717768, 109543882, 103701487, 39575483, 293362051, 153055707, 30584296, 30367010, 8385885 ], [ 31298998, 13262061, 58499433, 3022990, 33277103, 19122126, 86402166, 527077, 24406483, 49068876, 33741451, 60444629, 6508592, 60310853, 43684980, 36941127, 18755750, 7501208, 51287163, 60232861, 34487194, 34238619, 7097485, 16439853, 15072477, 43176167, 70439458, 19528142, 10403655, 9811063, 35045319, 11282436, 6538953, 86439671, 5278565, 5820433, 16958417, 52916695, 11672916, 19421974, 74479447, 979924, 16118041, 99053232, 20723178, 5564078, 4572319, 28538266, 27658597, 3005173, 26014536, 86665551, 17773932, 67955405, 5206059, 11735842, 17628513, 5098092, 14648640, 6610976, 75983765, 163526627, 11447161, 4081438, 17090338, 21279826, 9199391, 313465, 126674761, 11128502, 1927362, 41562746, 21611924, 20330484, 20588532, 24883461, 26633138, 34125965, 39776867, 3400982, 76332171, 176068714, 1743522, 14250187, 8841244, 7244825, 32312309, 56386675, 4808035, 5362144, 66873785, 13331112, 8702321, 19222845, 15727200, 27356758, 63753642, 15323433, 77461747, 32328827, 30869059, 1979693, 61874757, 51432934, 56026761, 2904225, 751071, 21571738, 34221970, 31411944, 60361613, 47290638, 34900327, 194734734, 2283422, 4371, 14187457, 40107756, 1231057, 989728, 23060614, 37227739, 17832662, 21817923, 26256355, 895863, 74518155, 48756787 ], [ 55580571, 37182334, 21330488, 117570808, 136245013, 19028359, 81223123, 10728620, 11568794, 10879973, 42522121, 74243328, 25367037, 69439694, 84375885, 4605955, 35635354, 3489971, 5312691, 12230160, 29984501, 174709220, 54507159, 34088334, 130364319, 47168326, 67210597, 31043805, 4139590, 21147669, 166019657, 48525486, 92606605, 18212595, 9919743, 134590329, 140274632, 231171226, 23580742, 109689335, 125121146, 30692901, 88147083, 116766531, 196409804, 47532561, 46963576, 82183517, 84387194, 80539667, 26014536, 44776495, 51243350, 42624056, 6406540, 70232012, 36873249, 49122919, 11163758, 70346041, 413312846, 163526627, 33395442, 165832066, 25872681, 180571527, 18453377, 146382436, 25010263, 11128502, 285662668, 308521710, 231298792, 60270550, 98752482, 129627207, 91856799, 4232416, 151863899, 3593080, 175024078, 341375847, 24766906, 59730645, 12184028, 23136344, 18630531, 70105530, 12596429, 73828439, 119485024, 7492623, 53375586, 19222845, 79091183, 5232805, 26063013, 43573138, 142623759, 172985096, 55018263, 98509620, 56859134, 221874842, 69695486, 30441055, 14934828, 43313435, 290408569, 208282623, 121107396, 129512264, 96946021, 121878338, 54283146, 39529471, 14711515, 9219250, 1260411, 22717768, 87706176, 199040537, 15840429, 273976037, 62547840, 30584296, 54663602, 158189237 ], [ 55580571, 97085922, 91521943, 22543064, 69996330, 84316290, 98350183, 10728620, 47429823, 124515762, 33741451, 48301511, 8799657, 130654836, 323863213, 93234756, 35635354, 61864217, 16111413, 15163429, 35518522, 41601143, 52292132, 16439853, 26165200, 46559750, 17558543, 46274253, 36979083, 9811063, 175702266, 11282436, 28190702, 19490018, 117283787, 18914570, 11549972, 52916695, 4439019, 36700884, 5540999, 74514401, 114412716, 107106667, 57221722, 10914927, 4572319, 28538266, 27658597, 26018692, 26014536, 86665551, 24439858, 211551143, 6406540, 12618545, 62931609, 5098092, 39065278, 6610976, 47671764, 36211929, 43978709, 4081438, 14845455, 34035772, 18453377, 313465, 94420609, 8937545, 1927362, 31668833, 26179740, 12467909, 15902863, 24883461, 26633138, 10624337, 20106410, 3400982, 76332171, 33612121, 1743522, 42415447, 48737309, 7244825, 61441404, 63061736, 85715657, 48614088, 28854300, 13331112, 2224546, 19222845, 9662602, 73816785, 35212484, 43573138, 310578, 13894074, 14369341, 6227883, 64410245, 87508382, 100601120, 2904225, 16100879, 34281400, 78632075, 68911876, 31533926, 61523681, 34900327, 138999143, 30339226, 13721683, 123359600, 33387298, 21280211, 31463377, 130729237, 67476139, 6464083, 125436901, 35289127, 21819546, 104040177, 47059743 ], [ 108496570, 43538688, 761466, 20870230, 133030754, 7829423, 31961224, 19101483, 26261974, 85655049, 151853792, 74243328, 84520594, 75666424, 57273016, 42062879, 35635354, 73186475, 51287163, 477735, 29984501, 83754180, 54507159, 34088334, 7756224, 91281102, 1324353, 2252364, 4139590, 9811063, 22056970, 120214899, 130629805, 12212417, 22427269, 22598478, 50966888, 144017874, 551903, 101321538, 24602149, 17280545, 43150011, 106204423, 39853586, 72681927, 191320393, 5528881, 65061345, 85786520, 135584844, 86665551, 45328380, 24508359, 58723682, 13802806, 179471924, 49122919, 8534908, 31897130, 46751276, 49867426, 33395442, 173936168, 123532687, 4770883, 110304335, 20876282, 63046026, 11128502, 25442582, 104722467, 2585693, 6787830, 186444046, 116247650, 353990221, 22464142, 124637907, 19249411, 76332171, 75879318, 41568497, 152145799, 33774110, 8838238, 37328590, 93319559, 44700000, 25966059, 191962791, 29312532, 33739783, 19222845, 9662602, 5229812, 47946239, 20716534, 240355051, 63339586, 61104428, 22447868, 64410245, 13229120, 52764041, 10148911, 92336986, 31765215, 35164341, 85018747, 31533926, 18245555, 17980645, 7309789, 54283146, 4371, 3207842, 10451778, 24346444, 11520981, 40479672, 52548562, 27074101, 18538359, 11198978, 2418077, 11243726, 13212222 ], [ 55040201, 13262061, 40672129, 117481130, 96333112, 151095274, 98350183, 7341564, 47429823, 176195014, 126174866, 61409996, 1954083, 202418903, 57273016, 105481036, 35635354, 148363555, 225112488, 91072366, 59809125, 91967100, 54507159, 117605892, 15072477, 23604150, 70439458, 61359642, 85673659, 21147669, 145809542, 173890511, 37924836, 187451739, 9919743, 235801340, 85660278, 163872732, 23580742, 64448995, 108687630, 74514401, 68226685, 17337090, 124013069, 181581527, 46963576, 33027000, 212705378, 16255500, 18547202, 10030682, 393421350, 22453053, 74241463, 66927079, 115139441, 4698523, 38478205, 27143142, 68185028, 163526627, 43978709, 74046888, 94466761, 23458859, 131606927, 162828295, 90734652, 11128502, 94932526, 153228347, 163833147, 28730007, 6528865, 146629205, 52213919, 25369199, 88157708, 26225179, 59944870, 147758953, 24766906, 45077948, 128009434, 4613699, 38087537, 119886606, 57605308, 73828439, 142067708, 7492623, 47854487, 19222845, 132075651, 359627951, 47946239, 43573138, 72877237, 5593722, 69570149, 98509620, 64410245, 154933537, 32343983, 150049881, 180078077, 102133296, 9632529, 68911876, 168782422, 152283894, 34900327, 194734734, 54283146, 37645223, 65691383, 65100413, 162226585, 11520981, 173842184, 76350134, 157134984, 10815772, 91396856, 132910245, 23861418, 14103721 ], [ 55580571, 97085922, 40672129, 2154299, 33277103, 7829423, 115046075, 35571681, 47429823, 48784802, 19436251, 44819556, 71615469, 13785257, 50053741, 6637790, 18755750, 35156769, 18988082, 25067792, 1549220, 80782010, 40985255, 30265834, 35039571, 455495, 137355885, 2566108, 36979083, 7237878, 36142089, 79197529, 22632495, 125462607, 9919743, 63142095, 85660278, 21224022, 54976926, 109689335, 2807903, 594104, 8371301, 29584991, 40677539, 159340643, 46963576, 44273189, 49456256, 44148339, 14596797, 10030682, 47693624, 16235886, 6406540, 13802806, 70131125, 30531816, 14648640, 33742188, 35213388, 51481363, 145428689, 48164330, 83562185, 137077539, 18453377, 20876282, 23333317, 11128502, 19567076, 105937093, 18551859, 25230607, 20588532, 51136416, 142157452, 27078650, 21332113, 88889098, 18308711, 19377587, 24766906, 26791723, 61016156, 20443760, 39753943, 63306276, 88197912, 31773404, 90594670, 7492623, 8702321, 19222845, 31335309, 28353269, 82210070, 15323433, 37039339, 108053240, 49115482, 6227883, 64410245, 2842731, 3452385, 240394785, 1030147, 33132334, 24606677, 20602581, 31533926, 52070822, 5520226, 151118981, 162901039, 4371, 14187457, 9219250, 24346444, 476039, 7440492, 76350134, 32868652, 20163501, 97987349, 113178185, 13486249, 53692391 ], [ 24568957, 97085922, 91521943, 85872254, 103090837, 19122126, 270526766, 92093921, 1561536, 16677736, 10278007, 17470031, 71615469, 25708368, 42072683, 28371091, 36090254, 44778422, 190525426, 91072366, 43992803, 104300478, 54507159, 34088334, 15072477, 23604150, 199116219, 45836892, 85673659, 21147669, 44270536, 48525486, 18658119, 30842326, 9919743, 22598478, 64129861, 37381945, 18865450, 89772750, 48671818, 17280545, 49905013, 21805825, 10519182, 110422993, 11842263, 33027000, 42823446, 44225509, 26014536, 20481205, 85872976, 28922729, 31588684, 10654555, 21346662, 6045037, 14648640, 28680497, 68185028, 53971248, 44559623, 7969807, 22584176, 984965, 56260180, 45807451, 5802696, 9668529, 47968951, 74099969, 175262093, 20330484, 18865190, 57292505, 142157452, 62078491, 30383242, 26225179, 36040085, 44235816, 9903789, 45077948, 22105693, 13803105, 77153737, 25761242, 121733072, 73828439, 55617681, 7492623, 47854487, 2764732, 117369863, 75897377, 1503253, 43573138, 8006431, 3962925, 156622523, 79870237, 6005134, 12836882, 125381541, 17905906, 160122026, 43313435, 35164341, 132028150, 173289668, 41747811, 93898343, 13069568, 280517125, 5521703, 14187457, 9219250, 18050038, 989728, 15166187, 67476139, 183488793, 9459107, 57667367, 51706520, 39011870, 8385885 ], [ 367376430, 97085922, 113505080, 20870230, 49905283, 197116036, 157367015, 40733949, 47429823, 48784802, 3134393, 11452889, 84520594, 1493631, 135867782, 207055169, 76141940, 69607594, 21654249, 138673085, 155614481, 18837443, 54507159, 30265834, 32404941, 47168326, 69445244, 320422872, 4139590, 70798768, 94959868, 125103410, 111407, 30204738, 7603521, 198832241, 118469328, 68112369, 518865712, 194479144, 92260806, 16419540, 244459280, 63570137, 108218707, 10151165, 46963576, 125321197, 114090849, 85786520, 2525324, 167965334, 45328380, 49755262, 74241463, 61518697, 27592648, 99071764, 14648640, 164227185, 200493609, 163526627, 84556005, 37118491, 94522658, 416521882, 4418547, 102854649, 114870372, 9668529, 297109500, 64570389, 27748232, 60270550, 105449809, 136262848, 19870242, 4827240, 29846511, 19249411, 71835447, 201263231, 24766906, 185161335, 187379160, 23974405, 26556088, 143590005, 1870338, 56071200, 75661415, 241905780, 23401976, 19222845, 73745621, 334283900, 44055985, 6371671, 88288910, 28179107, 141799632, 64147911, 22173503, 221874842, 108013928, 10148911, 10328263, 55115842, 35164341, 20602581, 31533926, 81146737, 114518370, 102948098, 346622548, 4371, 14187457, 51479669, 155922331, 83135938, 7805551, 187447187, 96947080, 78707398, 54909120, 166270172, 54237163, 158189237 ], [ 96720748, 97085922, 9024081, 65580650, 136245013, 7829423, 98350183, 7341564, 11338106, 150264207, 33741451, 17470031, 9377615, 42278554, 18117709, 239229348, 16307825, 115646117, 220356368, 91072366, 69861726, 46042705, 14272059, 34088334, 8151623, 21434280, 69445244, 206206424, 4139590, 21147669, 46863019, 1452202, 13192576, 19490018, 7603521, 22598478, 47082395, 118041557, 10896431, 37153598, 11142073, 7658704, 98787651, 93323456, 62836387, 10151165, 8899107, 33027000, 57139815, 16255500, 2885522, 10824101, 10411787, 8240988, 57797426, 10654555, 62931609, 4698523, 47056178, 27143142, 22719135, 77613720, 43978709, 12293544, 1958271, 20852132, 127052916, 112192405, 1575802, 11128502, 3837077, 33554762, 2167291, 12467909, 20588532, 94031685, 43365618, 62078491, 69629332, 19249411, 59944870, 176068714, 31827644, 2867911, 19782298, 22740229, 21296331, 67141555, 10640570, 57864256, 23576172, 7492623, 23401976, 19222845, 61536432, 5229812, 49803073, 6371671, 72877237, 9350717, 99357158, 19545230, 21893811, 2842731, 20352700, 10148911, 1030147, 3070446, 26894823, 63829230, 14870913, 65918568, 82641380, 37468453, 216676867, 12788432, 26835622, 9219250, 13259227, 51565532, 7805551, 21313695, 6464083, 101862543, 25912416, 51706520, 54663602, 8385885 ], [ 82816544, 83328899, 38166169, 53684186, 136245013, 270127773, 134473977, 116612195, 65730728, 16677736, 33741451, 106404828, 71615469, 75666424, 50053741, 79953024, 124340353, 148363555, 99263736, 56392526, 155369916, 32090228, 16621108, 34088334, 116518734, 109847517, 124723986, 61359642, 85673659, 21147669, 28121974, 187264413, 68623986, 1422517, 9919743, 22598478, 156048322, 516484199, 12969820, 608339214, 42935675, 115658817, 14358057, 122468705, 24402478, 181581527, 261555988, 145062040, 265753595, 107808505, 25582379, 86665551, 184495468, 67955405, 434361102, 86751626, 179471924, 134823790, 38478205, 161695265, 256620419, 163526627, 82559288, 85791249, 109520349, 23458859, 131606927, 95792574, 380133831, 45220508, 22704879, 138794829, 43998752, 5934885, 144697420, 157043154, 28102717, 22464142, 132671862, 149414014, 76332171, 70360465, 96843841, 93680837, 256053274, 23136344, 223475638, 143590005, 112453422, 196747690, 166904671, 7492623, 62562029, 19222845, 60854711, 74175936, 22156981, 2705172, 97770868, 81208466, 123075091, 44820657, 26338059, 60627151, 162589341, 150049881, 17523046, 18029310, 35164341, 356369154, 26152720, 152283894, 3314149, 259420844, 162901039, 77874438, 82300461, 72013186, 158595464, 11520981, 146416411, 275184956, 35652117, 35781802, 306852152, 95588817, 297293707, 82023210 ], [ 47394511, 97085922, 213557621, 315501461, 25910147, 66559418, 81223123, 117250155, 52703966, 48784802, 113676214, 6951828, 84520594, 118060902, 57273016, 366158729, 32941559, 148363555, 115829227, 40299525, 1549220, 122267771, 54507159, 34088334, 84389921, 23604150, 212983963, 46274253, 36979083, 9811063, 182484876, 70712698, 28190702, 19490018, 209678895, 107832548, 15948992, 100627219, 131021875, 194479144, 85422202, 10793427, 16118041, 52687771, 20220556, 18447280, 191320393, 145062040, 290390837, 5935224, 14596797, 20481205, 85872976, 28922729, 17366602, 13802806, 29708555, 199915477, 39065278, 120843274, 54524408, 49159216, 33395442, 47980771, 133278352, 52201768, 56260180, 20876282, 25329720, 9668529, 58691418, 153228347, 26179740, 12467909, 56272029, 150289371, 23316914, 87277172, 44841138, 190947427, 34174321, 51068483, 41568497, 97706088, 128009434, 23136344, 230390838, 65261005, 13962501, 73828439, 28854300, 169872557, 87575598, 19222845, 26139271, 5229812, 67645718, 6384058, 110766261, 3962925, 80789424, 6227883, 64410245, 112236543, 18629613, 2904225, 116634415, 80468152, 26093144, 68911876, 31533926, 70875298, 113737700, 159842460, 138845373, 39529471, 2396252, 30381809, 24346444, 227634995, 187135013, 116585344, 6464083, 68265368, 170178955, 166270172, 13486249, 102958316 ], [ 275169926, 250446478, 91521943, 27899268, 132514205, 44134229, 12642902, 258494268, 110370818, 437778517, 119367130, 83197569, 71615469, 12188205, 57273016, 61074071, 93511013, 148363555, 51287163, 28941804, 74810741, 163633801, 16621108, 34088334, 3411669, 4398115, 58205030, 46274253, 55409964, 21147669, 2273841, 94089, 33744510, 1422517, 9919743, 22598478, 277657016, 381123320, 229712840, 129555925, 63158363, 166426391, 98787651, 1004199, 26152465, 11684360, 96557304, 142902414, 99622015, 56346379, 26014536, 87331021, 161036725, 67955405, 156207902, 34775875, 55492492, 5961620, 66967279, 129046407, 68185028, 12895476, 82559288, 85791249, 180005608, 28634471, 110304335, 20876282, 120676676, 45220508, 54995284, 104722467, 62233714, 83174504, 89803198, 213631448, 227820321, 183581583, 145075117, 26225179, 220749972, 19213264, 41568497, 90209610, 106760604, 23136344, 154897329, 78160602, 149261200, 73828439, 119485024, 7492623, 343852163, 19222845, 25784813, 5229812, 242640728, 43573138, 270386250, 200396371, 166358220, 79870237, 324557455, 221874842, 45040341, 90867336, 215569246, 7056005, 122719650, 94194490, 111978330, 41421305, 34900327, 194919342, 296874181, 39529471, 5434082, 254058030, 39902837, 51565532, 75945811, 24924468, 85358323, 30435074, 208043842, 166270172, 143771509, 119532830 ], [ 24568957, 70740650, 40672129, 68786783, 136245013, 19122126, 157367015, 10728620, 11085454, 150264207, 3693519, 11452889, 6423718, 96113271, 42072683, 120030736, 7619152, 45826829, 5312691, 23242567, 69861726, 57899680, 54507159, 34088334, 15072477, 47168326, 10281903, 45836892, 36979083, 9811063, 145809542, 70712698, 18658119, 19490018, 9919743, 49668362, 94780970, 100627219, 12969820, 26723723, 36108440, 7658704, 84751845, 63570137, 88335581, 5564078, 46963576, 145062040, 28791263, 85786520, 13546661, 10030682, 73771643, 12017432, 56154361, 13802806, 18247964, 6045037, 14648640, 43504609, 93101786, 26250097, 166247101, 7969807, 758187, 10340495, 131606927, 12512447, 94420609, 9668529, 29909912, 31668833, 26179740, 12467909, 33384915, 52973807, 48982349, 25369199, 19353368, 19699909, 4722340, 167155196, 24766906, 23749269, 8841244, 23136344, 42278587, 34969278, 136891216, 73828439, 28854300, 7492623, 2224546, 19222845, 15727200, 32961894, 98189046, 43573138, 93648340, 28179107, 40963777, 6227883, 50865195, 2842731, 29603894, 42055225, 11904666, 21571738, 58720541, 15566140, 31533926, 79686694, 34900327, 117732557, 10253493, 77874438, 14187457, 9219250, 24346444, 20672213, 32182005, 67476139, 6464083, 12797032, 54909120, 2809997, 33579362, 77565006 ], [ 47394511, 38167608, 7034219, 20870230, 136245013, 7829423, 138825044, 10728620, 25044537, 65059950, 11921283, 6732599, 71615469, 43984272, 113646466, 73071748, 7619152, 3489971, 5312691, 153215, 37928836, 46042705, 54507159, 34088334, 15072477, 89777462, 17402290, 46274253, 33120409, 18419991, 145809542, 125103410, 25645852, 86439671, 9919743, 41577462, 52868871, 11574712, 23580742, 26723723, 36108440, 4049948, 65041254, 86980259, 21192239, 23438502, 8279222, 145062040, 55174975, 85786520, 9640565, 20481205, 33837045, 53591605, 17909896, 573735, 70131125, 6044690, 14648640, 83765755, 35055757, 163526627, 132697896, 5573680, 758187, 8767110, 70049176, 20876282, 70015976, 11128502, 44993348, 40003924, 104330210, 23540961, 15902863, 57292505, 52213919, 10624337, 19353368, 26225179, 175024078, 19377587, 40525522, 34704075, 12184028, 12526600, 30230283, 34969278, 20337306, 73828439, 124872007, 7492623, 77572742, 19222845, 4871090, 5229812, 44075414, 43573138, 76268701, 26937213, 25234297, 45959361, 12046729, 18143679, 29603894, 5937249, 67738440, 55990207, 100059039, 19422040, 8198026, 6733590, 8928103, 8003051, 22984477, 4371, 14187457, 56149216, 39902837, 94962878, 32182005, 33810661, 9952518, 12797032, 94489449, 132910245, 57156642, 69249335 ], [ 35045781, 83328899, 9024081, 25456909, 82165241, 7829423, 81223123, 201615435, 11338106, 16677736, 8810864, 55136879, 71615469, 13949632, 57273016, 120030736, 76141940, 78537317, 20936098, 6728762, 29984501, 176918546, 54507159, 34088334, 15072477, 47168326, 7868675, 297216123, 148252446, 21147669, 108267654, 9423297, 32859937, 90961544, 7603521, 22598478, 140274632, 90589342, 10899413, 54081881, 78523311, 19494935, 38235067, 27768308, 24402478, 10151165, 46963576, 91927870, 36982398, 24496744, 26014536, 158008325, 169202919, 49755262, 74241463, 10654555, 177760154, 71019915, 47056178, 46977691, 220749115, 53608172, 33395442, 37118491, 38220813, 14053345, 7303087, 121398373, 158975681, 11128502, 3837077, 153228347, 85764190, 190253673, 64854785, 116247650, 22639746, 91256681, 169109617, 26225179, 49030490, 70360465, 24766906, 152145799, 203993, 23136344, 65709753, 143590005, 13962501, 25966059, 119485024, 7492623, 23401976, 127285520, 218188754, 5229812, 50727531, 6371671, 102676942, 9350717, 80977271, 106741272, 22173503, 114835017, 63229648, 35033547, 80885236, 79112076, 35164341, 68911876, 14870913, 8398781, 82675553, 156159275, 291495260, 77874438, 26835622, 18596849, 13259227, 48971294, 7805551, 253055993, 87110961, 35781802, 55241413, 159823085, 105094583, 8385885 ], [ 82816544, 73957937, 67056945, 25456909, 136245013, 42600000, 157367015, 10728620, 47429823, 16677736, 10278007, 17470031, 19008868, 12188205, 57273016, 2141582, 35635354, 116334047, 86689388, 131129715, 97304613, 46042705, 16621108, 34088334, 15072477, 18166776, 54092287, 31043805, 37749319, 21147669, 120089078, 225354704, 33589044, 1422517, 9919743, 22598478, 140274632, 374661490, 23580742, 26723723, 5540999, 39668587, 98787651, 1004199, 45308086, 144679812, 46963576, 48430239, 27412036, 44148339, 26014536, 7804109, 7060369, 67955405, 26888288, 86751626, 18506544, 6044690, 14648640, 33823205, 294334861, 146962618, 82559288, 15008321, 28367226, 73321566, 58635147, 124620689, 70015976, 11128502, 42400651, 134418637, 59028955, 6787830, 136530774, 107155881, 142157452, 471484135, 95255415, 26225179, 172181470, 29198634, 24766906, 140116245, 26850711, 23136344, 166806064, 34969278, 37520657, 40672145, 101212029, 2933573, 33788022, 19222845, 132075651, 5010334, 139194714, 43573138, 93648340, 28179107, 38572161, 1587329, 64410245, 45051428, 29603894, 115582686, 40607043, 7056005, 68446203, 150118051, 31533926, 12363421, 8928103, 132767123, 157498963, 39529471, 7915461, 5300437, 6556908, 989728, 21029733, 67476139, 42882095, 17454495, 26256355, 4957152, 28077617, 119532830 ], [ 131867576, 22529708, 20551867, 20870230, 136245013, 31398499, 67601439, 41655514, 86166459, 233495439, 8810864, 17470031, 219194791, 151551934, 33521235, 28240143, 35635354, 35210160, 36161704, 56392526, 27774138, 46042705, 52292132, 30265834, 84389921, 3571107, 17558543, 46274253, 85673659, 21147669, 14707262, 50579299, 24847453, 120120523, 22427269, 180270267, 71870895, 7650714, 12969820, 15812072, 152101415, 17280545, 262836346, 26612374, 91564527, 181581527, 96358760, 33027000, 27658597, 52133795, 26014536, 103879102, 39235449, 67955405, 98129014, 10654555, 103045746, 61674512, 109547695, 31897130, 167336173, 146962618, 198435133, 4081438, 16157824, 118351178, 9903185, 20876282, 7445093, 11128502, 22704879, 313979784, 43998752, 118429636, 20588532, 29962433, 262047055, 60945208, 44841138, 84331570, 113776240, 35421642, 41568497, 15154920, 5486232, 209199821, 71541590, 143590005, 52984891, 5362144, 307677094, 181340059, 43268563, 19222845, 230343181, 168653519, 47946239, 20082573, 97770868, 32328827, 205481808, 79870237, 64410245, 88710090, 63287673, 37105099, 47583747, 110035238, 35164341, 3674981, 43458299, 134022192, 93898343, 13069568, 41408493, 4371, 24807458, 26257979, 52506329, 142556736, 51613150, 67476139, 1622103, 57850110, 11770568, 49757387, 26316589, 18706785 ], [ 115515769, 39903130, 6486315, 72211665, 80304369, 7829423, 64080650, 10728620, 47429823, 14650532, 46130884, 17470031, 256756211, 13949632, 57273016, 37347263, 18518610, 33303898, 51287163, 91072366, 22943077, 104300478, 54507159, 34088334, 8151623, 34974794, 26468430, 101883469, 116375255, 21147669, 75153086, 30479417, 168067667, 91141172, 6192340, 16211622, 135247540, 100627219, 23580742, 15812072, 161630182, 17280545, 186424101, 63570137, 119563342, 110001842, 46963576, 14156480, 27922, 38987506, 26014536, 49228694, 12789386, 28863318, 46953163, 10654555, 75017815, 34742023, 29545950, 31897130, 76528211, 53608172, 87695369, 74046888, 23802493, 8767110, 38168786, 149401927, 11085584, 9668529, 81048222, 41498887, 3769928, 71254643, 18970083, 76258876, 142157452, 62078491, 16772453, 7071017, 33380829, 99339, 24766906, 45077948, 42126297, 23136344, 131190754, 54059003, 36523646, 73828439, 109967048, 44659447, 43268563, 94201388, 89556118, 75897377, 47946239, 43573138, 8006431, 12345279, 156622523, 30431609, 64410245, 18143679, 76955315, 101189550, 128757562, 74796395, 35164341, 48503409, 8198026, 122604998, 93898343, 13069568, 54283146, 50231375, 63583366, 139046041, 52506329, 11676658, 18888453, 67476139, 23602674, 48048156, 1309814, 79148097, 8438163, 18706785 ], [ 143547557, 233450887, 91521943, 20870230, 24273552, 88044602, 81223123, 64431607, 11338106, 54421142, 11836062, 17470031, 50697683, 61896739, 34010677, 190069749, 28758042, 144934209, 21654249, 205544598, 21204303, 46042705, 33784157, 233575, 9238203, 34974794, 58205030, 25215981, 49609918, 21147669, 50911841, 24998216, 59728423, 47027716, 22427269, 22598478, 129066585, 263074053, 116754433, 162413002, 85422202, 17280545, 186424101, 72336085, 37391256, 26757336, 96064311, 98960917, 111660739, 26176620, 4878365, 87331021, 15119195, 55673152, 17366602, 10654555, 177760154, 70950033, 124904077, 31897130, 8564501, 71369223, 33395442, 6921616, 185326835, 23458859, 34312908, 102854649, 63046026, 9997924, 44192221, 49731275, 2585693, 6787830, 55101405, 41768460, 107873121, 153382927, 69733189, 74104424, 85742346, 77870115, 22123320, 45077948, 48897944, 23136344, 35283445, 143590005, 52984891, 73828439, 1606808, 17784084, 33788022, 19222845, 24955599, 5229812, 47946239, 43573138, 1782845, 32328827, 61104428, 218835269, 64410245, 74029025, 42045324, 150049881, 62367257, 111199139, 35164341, 39156272, 26874402, 18245555, 32573029, 13069568, 54283146, 4371, 14935790, 124134633, 31023359, 51565532, 67476658, 277962867, 67065931, 54702661, 225331843, 119947516, 39011870, 8385885 ], [ 293005576, 27735027, 102472817, 28456630, 35381693, 7829423, 192606985, 97100644, 5192840, 29412339, 91754077, 117858690, 71615469, 220675603, 55534784, 120030736, 35635354, 70833850, 100770529, 21811876, 76609598, 175205452, 33784157, 117605892, 78498986, 105904174, 10281903, 325756812, 85673659, 356795207, 175165266, 58761293, 130629805, 2569324, 9919743, 84852592, 135247540, 61739806, 494287638, 254421749, 158735679, 17280545, 84751845, 63570137, 22485635, 15950510, 66598187, 144806283, 334317541, 115243996, 110421683, 3206680, 165147230, 172146557, 352182140, 10654555, 177760154, 6045037, 14648640, 31897130, 27101448, 163526627, 70430507, 7969807, 146703034, 152204219, 31291139, 105020753, 63046026, 9668529, 319634156, 83820851, 286573912, 190109048, 418230837, 116247650, 179762463, 69942649, 52479638, 197068087, 21163487, 281557211, 4921097, 123784361, 35000605, 23974405, 131190754, 124724640, 101897413, 184332337, 156876833, 7492623, 80374169, 19222845, 132075651, 67793545, 124178173, 43573138, 34881830, 108053240, 162964532, 98509620, 51029709, 120710603, 72897046, 67068137, 74355201, 24525948, 35164341, 132028150, 270958499, 143970678, 93898343, 13069568, 385722721, 39529471, 14187457, 163264348, 88814411, 94962878, 218809429, 341507348, 85967375, 30294394, 131095943, 181938228, 119426852, 18706785 ], [ 61560207, 13262061, 43139594, 157120283, 75665208, 7829423, 177470739, 7828329, 47429823, 71013518, 42493755, 32268004, 187731381, 63714770, 42050358, 118793617, 98507634, 34503996, 76752094, 56738159, 38320394, 18862324, 25759132, 92359483, 15072477, 18166776, 17558543, 36072359, 36979083, 9811063, 10852516, 53467749, 130629805, 50598106, 80954605, 100200947, 25456454, 11939172, 44440939, 28384536, 48325507, 200163764, 17151460, 20159374, 7150152, 87942832, 20005913, 59711413, 1706859, 92898889, 2885522, 27730831, 7060369, 13554292, 23663798, 13802806, 47404118, 89415184, 14648640, 33823205, 85985901, 66740757, 48153480, 48164330, 18155251, 42097710, 110304335, 3446680, 40395617, 11128502, 94932526, 9282362, 9399131, 198734601, 59572844, 23487905, 142157452, 87277172, 95255415, 26225179, 124828039, 172157628, 11231871, 45077948, 42126297, 8072599, 47872803, 34766411, 30838529, 31108326, 16960244, 15214647, 112610509, 13411907, 61536432, 35053049, 101753396, 43573138, 193139177, 52142354, 34194856, 22447868, 12046729, 75286142, 97354204, 84913038, 80731108, 43313435, 35164341, 122303191, 62653653, 70875298, 34900327, 183972630, 15882741, 53110477, 14187457, 9219250, 24346444, 11520981, 10094996, 67476139, 85358323, 78707398, 11770568, 18615545, 39011870, 8529667 ], [ 6925873, 12894024, 52930003, 25895277, 33277103, 48019938, 40847644, 66763336, 47429823, 187863642, 7952411, 74243328, 8799657, 39175709, 57273016, 24380805, 76141940, 148363555, 37552640, 28941804, 34747054, 97534014, 7097485, 30265834, 15072477, 43176167, 1489841, 46274253, 42009311, 21147669, 36342808, 30479417, 71562690, 15439603, 9919743, 22598478, 10160951, 156456857, 86884185, 37153598, 9632481, 105594232, 88209543, 744442, 20220556, 10151165, 11561799, 5528881, 28791263, 52133795, 26014536, 7540255, 15119195, 33034785, 26888288, 27531167, 43030772, 7865970, 14648640, 82513676, 99257009, 30132741, 24752007, 47980771, 35286264, 65929704, 57136888, 20876282, 148284062, 11128502, 22308748, 57092899, 9399131, 48118407, 20588532, 84740914, 39107390, 2966291, 95255415, 13756860, 33229953, 10158467, 24766906, 17277866, 74977431, 23136344, 61441404, 34969278, 48669013, 25273205, 20114767, 7492623, 8702321, 19222845, 61536432, 54607803, 40686868, 15323433, 122359882, 74770437, 31953348, 37718178, 22173503, 28666453, 24043563, 85782824, 47583747, 29791585, 35164341, 20602581, 49793696, 36141624, 19988451, 75626319, 121102967, 9524705, 14187457, 42956965, 53494524, 989728, 7805551, 67476139, 42386113, 34513947, 74621554, 4957152, 108217444, 82023210 ], [ 42188445, 73957937, 91521943, 2276909, 6207912, 7829423, 81223123, 130453420, 276247143, 69172837, 42522121, 13976754, 54954105, 167840641, 110703301, 120030736, 44076939, 95068538, 5312691, 23242567, 17088587, 58071436, 54507159, 34088334, 4836413, 228931740, 10281903, 187514010, 4139590, 9811063, 36722849, 94730687, 176707072, 87829367, 9919743, 107832548, 62133482, 28511614, 95060554, 37153598, 62998460, 13424672, 84751845, 11844658, 26152465, 30626675, 59687196, 145062040, 121717978, 3728851, 26014536, 8049892, 80065741, 11660676, 17366602, 13802806, 14631379, 6044690, 14648640, 96586250, 84271069, 44373628, 33395442, 42993293, 28367226, 137077539, 107754139, 12512447, 31056009, 7789227, 25442582, 48959813, 2585693, 60270550, 20588532, 15186090, 84094160, 63985327, 93400929, 10251915, 23800554, 35924575, 35507848, 39497832, 7835358, 23136344, 50155866, 34969278, 44415921, 45315856, 1357031, 7492623, 174739377, 19222845, 15727200, 5229812, 30168977, 43573138, 165199099, 118518227, 1127885, 22447868, 64410245, 3588026, 39990073, 42055225, 46887196, 21571738, 11261624, 81933308, 6376529, 18245555, 1250663, 75181303, 23400204, 77874438, 14187457, 9219250, 24346444, 83135938, 31507709, 67476139, 17832662, 4241466, 290760913, 29412268, 54663602, 130164116 ], [ 5468845, 37182334, 21330488, 50760341, 121936570, 38081745, 76525568, 130453420, 16684911, 231025118, 23184161, 28429720, 24388200, 167840641, 61860283, 89088779, 21521887, 95068538, 5312691, 21811876, 9367199, 20659871, 54507159, 56383534, 96418775, 34982, 30126758, 31043805, 4139590, 9811063, 17721999, 50104602, 22705191, 171161182, 22362699, 4391833, 31600162, 4832556, 58347541, 179805155, 56845272, 39668587, 1276120, 124972417, 57221722, 57317810, 107676469, 14156480, 71385654, 136313670, 26014536, 82121006, 185557862, 84857628, 63445305, 13802806, 31986973, 34742023, 14648640, 53154926, 1694724, 35379752, 33395442, 48164330, 57185837, 8767110, 31291139, 26616868, 21940924, 11128502, 20324473, 79362433, 65771, 11856924, 61216899, 29034, 18882080, 63985327, 28315887, 19249411, 14601617, 157641892, 105240896, 87520843, 12184028, 23974405, 199107058, 28151729, 52984891, 83008289, 1357031, 74663741, 28408557, 19222845, 79091183, 5232805, 8944095, 16829863, 114793140, 32328827, 143390239, 22447868, 51029709, 125340561, 49453078, 42055225, 81197310, 90620980, 35164341, 29434560, 26595740, 20415014, 41039970, 164839428, 55111538, 313162, 14187457, 92925563, 24346444, 34438843, 43942944, 83664862, 18817578, 78707398, 133947135, 9183339, 54663602, 38877002 ], [ 31298998, 23465506, 26399766, 56177437, 88243476, 84316290, 5481880, 10728620, 89195053, 13939513, 28286860, 50368910, 71615469, 64941926, 117119732, 159902062, 3205874, 125722950, 16111413, 31416651, 17088587, 3330870, 15843813, 34088334, 4836413, 6968936, 70439458, 50008215, 148252446, 21147669, 3901026, 94730687, 66190407, 174763978, 9919743, 36362030, 180408215, 88427717, 23580742, 49588790, 11142073, 74514401, 98787651, 42432070, 29750484, 181581527, 172487214, 17228063, 195534069, 115587696, 17004455, 87331021, 12789386, 22489912, 16043503, 28754582, 9354669, 1621307, 129080427, 6610976, 11937625, 145633933, 59521947, 63735796, 14845455, 23458859, 4469537, 9662065, 50326426, 576126, 3741901, 31668833, 25693593, 47204475, 27303075, 29962433, 26633138, 153382927, 50338537, 26225179, 121566393, 33612121, 17345118, 45077948, 48737309, 23136344, 142524783, 60762338, 4808035, 32243917, 103743732, 7492623, 2224546, 236523520, 83442520, 26922735, 5674697, 23622241, 26017605, 26937213, 122734314, 35731436, 50865195, 118781492, 72277803, 77292357, 46999773, 26174063, 26093144, 81377413, 43458299, 61013860, 45163875, 23048235, 103158879, 77874438, 1330228, 9219250, 162226585, 20672213, 59786288, 67476139, 12464317, 35781802, 306721294, 142619239, 13486249, 158189237 ], [ 73278332, 46578707, 55982070, 128536824, 19545057, 143782622, 157367015, 10728620, 31816588, 13939513, 242530168, 4810019, 71615469, 172501389, 41806433, 63370014, 26127475, 2474606, 48574538, 4131279, 20457119, 120850490, 54507159, 548401, 15072477, 47168326, 157582174, 50008215, 85673659, 6892817, 45561505, 25499364, 11368222, 19490018, 9919743, 158620482, 31600162, 55837967, 23580742, 94944082, 35664623, 7658704, 98787651, 124972417, 7150152, 168446, 46963576, 33027000, 106295078, 46554062, 68774826, 2004812, 134419068, 15889489, 15695663, 1166550, 141989178, 1621307, 26836444, 28652780, 64474081, 12276393, 166247101, 15008321, 70686643, 65929704, 93720352, 71913506, 94420609, 11128502, 125957215, 104722467, 16511598, 12467909, 99133157, 94449962, 58758370, 39444211, 132671862, 19699909, 11279915, 20537268, 24766906, 94155543, 132605470, 6751879, 61441404, 74159411, 47087107, 60981846, 28854300, 7492623, 47854487, 19222845, 107146911, 27356758, 147317817, 5491309, 149537858, 59239565, 22729199, 9032973, 48659214, 2842731, 125055623, 45561590, 77177965, 63785001, 8391882, 61441019, 12394346, 21710698, 81902309, 259420844, 157498963, 77874438, 34783453, 364992137, 25620397, 94962878, 30140599, 71023811, 6464083, 43439840, 106428568, 284214156, 105191662, 123716021 ], [ 9879511, 97085922, 28680383, 97852176, 3864026, 136929682, 5481880, 49062442, 11338106, 41997364, 33741451, 50368910, 36215678, 20865873, 25976978, 31653922, 76141940, 44778422, 29159332, 159747569, 52565904, 7191698, 27724528, 548401, 15072477, 43176167, 16674892, 109224622, 67213595, 21147669, 2683954, 41544785, 66190407, 19490018, 14959481, 100200947, 38584823, 55837967, 123466888, 49588790, 664293, 10259202, 4528959, 1669215, 54807828, 10151165, 2142306, 2257890, 211249239, 24824274, 27794976, 87331021, 31024540, 22489912, 98129014, 86751626, 80207733, 25872559, 14648640, 108112636, 35055757, 163526627, 43873508, 48164330, 56731380, 23458859, 131249847, 5224622, 66162324, 8937545, 101377208, 141082080, 10258276, 6787830, 20862013, 6021496, 3490129, 71500726, 80840877, 26225179, 12474922, 33612121, 94404941, 45077948, 26233502, 4804257, 192082432, 65657950, 20337306, 49107723, 28854300, 49536567, 23401976, 19222845, 7578161, 17879321, 9904138, 43573138, 108319254, 11053588, 38645547, 79870237, 22173503, 49766336, 72897046, 84826294, 269875256, 58570577, 20953012, 27680244, 53651415, 8539460, 34900327, 75181303, 22984477, 14313222, 14187457, 135279616, 111176138, 7574241, 7805551, 67476139, 6464083, 183702744, 24476996, 166270172, 13252763, 8385885 ], [ 72270168, 97085922, 13376159, 53684186, 86482650, 7829423, 29738778, 10728620, 47429823, 43540580, 975437, 74243328, 71615469, 63070458, 41138122, 21736456, 18640044, 19220715, 51287163, 12230160, 29984501, 46042705, 54507159, 34088334, 15072477, 23987554, 9823384, 18660679, 36979083, 9811063, 17851763, 27206943, 6963277, 19490018, 9919743, 15893949, 56215101, 33093107, 23580742, 26723723, 36108440, 7658704, 17055804, 56104168, 39598691, 5564078, 27550842, 142902414, 81479756, 60216930, 16940442, 10030682, 12972869, 14150619, 115547, 11735842, 3149179, 4032109, 11163758, 21392781, 64474081, 42045524, 29004805, 2559906, 33889278, 23458859, 9199391, 3934247, 92227861, 11128502, 59067888, 3453250, 26179740, 6787830, 20588532, 51136416, 48982349, 31343280, 83933135, 1405315, 38633454, 19213264, 24766906, 45077948, 8841244, 9241107, 96107183, 33878282, 9489121, 15471658, 7903880, 7492623, 33788022, 19222845, 25784813, 54978988, 11867819, 5567090, 36576842, 32328827, 39021146, 22447868, 48659214, 2842731, 29603894, 10148911, 22810538, 43313435, 34221970, 39156272, 49678368, 86645591, 34900327, 67263112, 23536374, 65745813, 14187457, 9219250, 24346444, 13953635, 73416608, 9601057, 6464083, 81277898, 77755570, 64780687, 9597562, 81159617 ], [ 40147486, 67830465, 91521943, 107654771, 136245013, 7829423, 81223123, 11122756, 11338106, 395052107, 42493755, 58519521, 36188612, 75666424, 49382248, 39070086, 21521887, 8115115, 1403933, 28941804, 29984501, 3425768, 48133062, 34088334, 112570029, 45320302, 10138301, 189832823, 4139590, 21147669, 36342808, 240356324, 92420806, 39176812, 151170035, 22598478, 102069837, 181964479, 84598180, 194479144, 61402647, 39668587, 3439833, 24447404, 89867941, 181581527, 28285160, 33182577, 59102150, 13965008, 26014536, 38680821, 176589462, 115206435, 5938717, 2477835, 31986973, 64185138, 8534908, 70346041, 18475382, 48287149, 33395442, 48164330, 86513307, 90406813, 37979439, 34749879, 80335514, 11128502, 134591410, 94246456, 185512664, 60270550, 2361820, 95595009, 142157452, 83060934, 95255415, 19249411, 208530050, 10158467, 12545425, 26791723, 32908317, 23136344, 18630531, 143590005, 52984891, 21518044, 141883899, 91978305, 100685828, 19222845, 61536432, 5229812, 67706453, 43184542, 193785225, 32328827, 156488668, 15764238, 37542637, 33241237, 5910747, 6136708, 22810538, 58570577, 35164341, 18875456, 131121480, 44272303, 34900327, 102483197, 88138403, 77874438, 6292514, 78222673, 39902837, 16782351, 103526719, 143325776, 30295943, 4241466, 159471041, 97207047, 14633591, 8385885 ], [ 33146260, 83328899, 9024081, 27899268, 25910147, 7829423, 229289399, 10728620, 47429823, 23728819, 27512493, 74243328, 71615469, 13949632, 124769759, 4227578, 23764043, 29466415, 56787964, 91072366, 192811039, 3425768, 54507159, 34088334, 79409986, 43176167, 1789700, 125112158, 36979083, 9811063, 88277132, 232546675, 88527179, 47743843, 9919743, 5820433, 85660278, 96161822, 23580742, 129555925, 11142073, 9182292, 84011763, 93323456, 235302127, 10151165, 46963576, 33027000, 73431428, 25566948, 278866701, 10030682, 51233582, 28922729, 74241463, 13802806, 5019759, 49122919, 11163758, 82513676, 64474081, 53608172, 44960964, 44011914, 120005130, 23458859, 116844005, 3446680, 111499061, 11128502, 1316220, 6038789, 26179740, 118429636, 1476990, 24883461, 142157452, 16965065, 142199226, 48392748, 12841012, 121529825, 15319916, 99854249, 60151639, 23136344, 101146882, 13631412, 30838529, 21518044, 7890268, 7492623, 23401976, 19222845, 171302980, 99126886, 46128706, 43573138, 26017605, 3962925, 75132736, 22447868, 22173503, 11677864, 18629613, 94667847, 3435798, 105633307, 35164341, 259495312, 364340403, 139680304, 34900327, 259420844, 25065482, 12788432, 82300461, 108381644, 24346444, 94962878, 98344, 67476139, 142662399, 78707398, 55241413, 83707524, 15385524, 59881781 ], [ 82816544, 120143144, 9024081, 43872504, 133030754, 7829423, 156850279, 10728620, 47429823, 16677736, 28463565, 50368910, 154090374, 196835868, 38112734, 299491671, 3205874, 125722950, 48861320, 138673085, 38320394, 183131299, 54507159, 91592187, 15072477, 3680525, 47921185, 18140653, 37678757, 18419991, 117527247, 344070926, 13784895, 90961544, 24431798, 107832548, 140274632, 100440667, 23580742, 64448995, 664293, 9182292, 114412716, 93323456, 239972320, 5564078, 10632330, 305341710, 54171218, 15148201, 26014536, 86665551, 31024540, 13392175, 34222951, 10654555, 77599777, 89415184, 129448044, 62180514, 18475382, 293446901, 144734279, 24550729, 92585533, 23458859, 90619610, 9662065, 108186866, 11128502, 89756829, 102620064, 10258276, 94510671, 68614872, 45985737, 19107564, 153382927, 43788494, 26225179, 12325492, 212514479, 24766906, 45077948, 8841244, 122120369, 31450107, 81919815, 47340376, 73828439, 103900077, 243344321, 4858739, 4947472, 17551062, 5229812, 39299598, 43573138, 114971774, 9350717, 74867953, 57329203, 22173503, 125162170, 72277803, 54198159, 160122026, 109920340, 34221970, 17299405, 4452591, 20229549, 34900327, 23048235, 67308819, 44073629, 79868961, 80543188, 39902837, 179270334, 7805551, 39880734, 87110961, 12797032, 26256355, 72498672, 39011870, 81643 ], [ 133767379, 105671422, 113505080, 278109108, 135228020, 83086094, 32501626, 270301331, 28651057, 141011365, 148654513, 74243328, 491410384, 94447689, 49382248, 185523082, 258440811, 78537317, 48861320, 128972561, 48757041, 520879762, 54507159, 34088334, 362699544, 43176167, 43790787, 252460297, 170790381, 95276807, 36342808, 242606352, 46175428, 231457252, 126871329, 229013731, 15948992, 237968511, 131021875, 194479144, 85422202, 19494935, 88954935, 84396464, 251836186, 97619336, 148205550, 5528881, 137688660, 243276929, 174675622, 75979441, 246096465, 28922729, 17366602, 7498357, 77599777, 64185138, 14648640, 260852833, 24436762, 127451457, 44960964, 47980771, 14519378, 105786545, 90619610, 70866402, 45906995, 11128502, 233507681, 464731303, 59956362, 272079305, 460479688, 353772556, 384474365, 83060934, 95255415, 69209391, 208530050, 10158467, 36793278, 111862759, 517606937, 23136344, 31462174, 80608340, 48669013, 164468550, 207822577, 332873529, 391861008, 4947472, 97838497, 35376341, 67706453, 43573138, 139285707, 3962925, 250781291, 127806360, 64410245, 33373381, 15764581, 36643396, 22810538, 287722848, 35164341, 246849170, 253755655, 80205185, 142415073, 57732998, 319410686, 77874438, 14187457, 23541935, 4972824, 44736277, 52408048, 116585344, 1070738, 78707398, 170178955, 72498672, 64737594, 158189237 ], [ 6925873, 73957937, 12192336, 34303783, 130935980, 7829423, 81223123, 81019319, 31816588, 113450913, 15050549, 60680714, 29005768, 13949632, 57273016, 4227578, 60885450, 166356831, 92274123, 28941804, 20457119, 152078517, 3681839, 29905141, 246964631, 43176167, 22853199, 66679787, 25803684, 6892817, 145809542, 48525486, 24847453, 153308087, 9919743, 137533791, 6561293, 96161822, 56812919, 26723723, 36108440, 41709193, 4528959, 124972417, 187664220, 181581527, 46963576, 5528881, 17319958, 46554062, 6062175, 13260044, 39235449, 67955405, 2738498, 30363827, 43914670, 6044690, 9761420, 31863166, 110725711, 24647788, 33395442, 2559906, 28367226, 15377231, 2113602, 57702952, 66162324, 11128502, 22704879, 134418637, 43998752, 58864365, 20588532, 26514010, 69710786, 79561580, 151008755, 108979105, 276712161, 629887, 15319916, 179289015, 60151639, 23136344, 155554744, 28672848, 15202585, 22311498, 101997990, 7492623, 112610509, 471631, 113119684, 65146730, 63753642, 27358281, 28973210, 81208466, 143508536, 218835269, 41078699, 28666453, 16539226, 115582686, 22810538, 93866529, 8391882, 3674981, 49678368, 35473449, 7570150, 55059277, 81716102, 13207700, 36890605, 26257979, 162226585, 35170206, 183035286, 32994242, 42309638, 81277898, 55241413, 109439492, 21178790, 30992438 ], [ 50473785, 97085922, 124095994, 80487212, 25910147, 7829423, 40798206, 117287956, 47429823, 71013518, 25213020, 74243328, 71615469, 13920403, 106825335, 102844704, 35635354, 94224087, 56787964, 128972561, 116079608, 82529583, 21425487, 32635763, 18345311, 47168326, 141286325, 2566108, 67213595, 202690052, 182484876, 48525486, 111407, 19490018, 9919743, 149559773, 17027954, 320441286, 147831668, 101321538, 11142073, 92862550, 98787651, 52687771, 7150152, 72681927, 46963576, 5528881, 158281515, 224793632, 26014536, 30726932, 51243350, 30067172, 2738498, 41932736, 109339373, 11778188, 11163758, 142015545, 248288832, 85502889, 40716085, 63735796, 133278352, 139221672, 262431934, 146382436, 94420609, 11128502, 58691418, 96464380, 36769326, 12467909, 16317519, 73953910, 79603216, 207719043, 10845223, 108979105, 34174321, 240350028, 24766906, 97706088, 143101784, 23136344, 69146842, 143590005, 47087107, 36779275, 28854300, 2933573, 318518190, 19222845, 26139271, 5232805, 67645718, 43573138, 110766261, 161292502, 142721906, 28210224, 64410245, 15381447, 18629613, 134518649, 30097089, 43313435, 161700917, 130074440, 147594662, 57043443, 108892514, 259420844, 81716102, 12788432, 123359600, 9219250, 198194854, 94962878, 10094996, 67476139, 6464083, 93356487, 40782327, 263844127, 157399583, 53692391 ], [ 115515769, 97085922, 91521943, 56953221, 134096334, 7829423, 7199722, 187436395, 214396966, 113450913, 9682526, 74243328, 266659831, 178084914, 4413105, 134460516, 35635354, 1320109, 10190847, 56392526, 69861726, 46042705, 54507159, 34088334, 31517016, 12249135, 60734954, 46274253, 14840175, 13418650, 66614174, 48525486, 130629805, 382374675, 219899874, 181488963, 25159510, 60030229, 110155120, 101321538, 85422202, 39668587, 69660194, 124972417, 7150152, 72681927, 255941831, 96386321, 68056737, 1792060, 50308721, 21583334, 106988926, 25522287, 17366602, 44509855, 179471924, 6045037, 14648640, 40295273, 332950322, 11452555, 166247101, 7969807, 72652021, 10159033, 44959909, 5883705, 82610776, 11128502, 22704879, 104722467, 43998752, 194348322, 117610853, 116247650, 304789851, 182438260, 52479638, 176599306, 14975300, 629887, 6488399, 152145799, 22791386, 23136344, 194537255, 143590005, 47087107, 48360465, 216312730, 179298930, 252282463, 40147880, 97838497, 487231804, 397986618, 43573138, 95478862, 32328827, 144536231, 45670409, 63309703, 95528462, 247194946, 26994089, 2331077, 185295986, 35164341, 28652242, 342052023, 202764009, 1250663, 52920677, 100607522, 77874438, 14187457, 134045925, 74863301, 197076841, 105648214, 277962867, 62853013, 78707398, 116399553, 71474621, 275393697, 158189237 ], [ 357337371, 105671422, 113505080, 278109108, 136245013, 7829423, 151570001, 24077093, 254536513, 6977396, 79004093, 60680714, 71615469, 59370111, 21338518, 162016971, 193818367, 44778422, 67636306, 79113300, 203013678, 46042705, 48133062, 34088334, 233434600, 415515484, 185996586, 159392171, 85673659, 6892817, 182484876, 385182958, 266716304, 30579412, 9919743, 719053507, 85660278, 294524350, 43082665, 194479144, 85422202, 39668587, 98787651, 10421108, 239972320, 181581527, 107408428, 145062040, 137688660, 218797047, 27794976, 838963630, 78451727, 108250427, 15695663, 526434253, 99035310, 422863682, 14648640, 16330527, 66325173, 271287756, 45360729, 48164330, 18108713, 145111827, 107754139, 581294797, 227197397, 11128502, 140177897, 73698525, 147045702, 118429636, 20588532, 116247650, 444772465, 25369199, 95255415, 80057656, 373099250, 341375847, 183722447, 26791723, 134858586, 23136344, 386560825, 143590005, 52984891, 148005474, 95172109, 7492623, 17049686, 19222845, 27039081, 140188466, 9904138, 17488324, 142714957, 30702354, 683387277, 196628546, 64410245, 81970409, 164429909, 189519754, 22810538, 141103902, 8391882, 121137937, 191423993, 152283894, 62702179, 259420844, 63923976, 77874438, 14187457, 158079511, 248102192, 94962878, 112368064, 76350134, 25147381, 66143214, 277030582, 284508688, 233926784, 158189237 ], [ 24568957, 83328899, 91521943, 202566182, 22776798, 168197060, 177017955, 93158582, 55731310, 15866723, 227496868, 64716484, 71615469, 32351205, 185430868, 77810132, 76141940, 30016156, 21654249, 136731024, 155369916, 118009155, 54507159, 112302351, 18345311, 43176167, 229849505, 8874972, 4139590, 12116118, 146702589, 118197882, 33588870, 197957705, 9919743, 15006975, 80369532, 63631160, 209717285, 194479144, 171257040, 77405766, 17783364, 124972417, 133202078, 10151165, 17445992, 250567018, 102949115, 89121664, 27794976, 65058402, 138726360, 49755262, 47110452, 3564618, 104077838, 8221730, 38478205, 363216193, 175049022, 48287149, 38504136, 56268860, 2663878, 14992297, 82366999, 20876282, 17798266, 11128502, 28724954, 97848819, 80307062, 60270550, 20588532, 163787458, 102379820, 71500726, 44841138, 19249411, 45404420, 38527167, 96843841, 228571800, 187379160, 161398148, 41358624, 143590005, 38819089, 21518044, 28105587, 2933573, 23401976, 19222845, 19873595, 65146730, 9904138, 43184542, 61616218, 30702354, 300599081, 61461740, 22173503, 112236543, 18629613, 191618995, 22810538, 316671558, 118933817, 132813599, 105312187, 79686694, 108892514, 117633905, 240354627, 77874438, 14935790, 84967719, 48234471, 11520981, 7805551, 76350134, 85358323, 210475556, 2603497, 8539433, 54663602, 4940241 ], [ 225555771, 56249051, 90283397, 4208636, 40233231, 42600000, 119080967, 10728620, 47429823, 43540580, 64468441, 74243328, 86848865, 13949632, 16216525, 41196134, 105901672, 44912522, 51287163, 23184795, 89116890, 30150151, 54507159, 3483270, 101437440, 43176167, 227133816, 15460071, 85673659, 21147669, 88277132, 38606700, 52355039, 70817268, 93282730, 54102004, 140274632, 149025942, 23580742, 26723723, 11081450, 6703418, 7749134, 33410745, 7150152, 68451346, 9087650, 250567018, 28791263, 45397069, 26014536, 87331021, 15119195, 15889489, 26675367, 1166550, 75770217, 84306054, 14648640, 224003973, 17331078, 53608172, 34900825, 48164330, 23802493, 23458859, 110304335, 12512447, 40194446, 1935283, 22308748, 48401055, 41611089, 38616133, 11255608, 8928777, 31236690, 46560242, 1745652, 1081391, 33390550, 19377587, 24766906, 67433929, 6313052, 12526600, 57954350, 32432398, 24695045, 73828439, 85532245, 13331112, 53375586, 19222845, 15727200, 26346947, 33887047, 36280454, 154662196, 38867682, 6496455, 9498304, 60899828, 52793063, 29603894, 4696912, 10328263, 21571738, 132646169, 914881, 31216632, 156310713, 47260902, 26677713, 158375120, 17911957, 14187457, 108971819, 53494524, 11520981, 1037861, 67476139, 85358323, 44954626, 55241413, 41774601, 8438163, 77737016 ], [ 4298335, 97085922, 27156500, 43872504, 1259187, 13887654, 16328805, 10728620, 47429823, 152781096, 111594686, 12387819, 16278905, 67359948, 15046430, 12367384, 7619152, 2872786, 133699224, 138673085, 1887686, 46042705, 52292132, 34088334, 8151623, 38442061, 17558543, 18140653, 36979083, 9811063, 10891170, 31233398, 111407, 528225, 9919743, 119190490, 41802657, 89144543, 20010924, 30755081, 92260806, 39668587, 8121061, 124972417, 7150152, 126088946, 10632330, 90982839, 9195241, 176925783, 5436421, 87331021, 12789386, 28863318, 2738498, 13802806, 13335444, 21699071, 14648640, 68004472, 3042389, 8687168, 43978709, 15008321, 758187, 22852793, 22249452, 12512447, 50326426, 11128502, 140177897, 88517387, 26179740, 12467909, 6464747, 134294059, 142157452, 153382927, 24397799, 26225179, 40305110, 8458128, 24766906, 33996742, 33774110, 9750518, 56588923, 97802999, 35901352, 73828439, 1357031, 7492623, 8702321, 10578224, 15272083, 5232805, 44055985, 15323433, 38497997, 480129, 6281833, 22447868, 64410245, 28107, 1845621, 60881301, 30097089, 21571738, 35164341, 17299405, 26595740, 42029661, 1135458, 3471774, 45340032, 10016353, 3207842, 9219250, 10387097, 59113867, 2231672, 52548562, 6464083, 78707398, 12114064, 70227902, 33579362, 155236873 ], [ 63235793, 37182334, 21330488, 132687290, 33277103, 5187327, 34444996, 41655514, 90495852, 43540580, 19971613, 50264959, 71615469, 63070458, 57273016, 23830562, 47462562, 122407785, 75235101, 23242567, 148361561, 174709220, 45201766, 1333810, 1830157, 169774264, 10281903, 46274253, 4139590, 9811063, 88277132, 50490197, 81275632, 302525105, 9919743, 22598478, 85660278, 196955589, 16145391, 194479144, 183119693, 150091092, 12676929, 124972417, 140478244, 153062556, 84757146, 138348553, 50512304, 41380616, 26014536, 87331021, 146891809, 67955405, 98129014, 13802806, 75770217, 104763504, 61859981, 35886698, 46543422, 2672366, 13219972, 12197004, 25872681, 137077539, 9199391, 12512447, 36603489, 11128502, 140177897, 134418637, 26179740, 60270550, 20588532, 116247650, 172998400, 4232416, 48498233, 19249411, 49030490, 629887, 15319916, 204457017, 72387227, 23136344, 71982284, 34969278, 149029918, 2286215, 92229190, 7492623, 8702321, 10578224, 15727200, 27356758, 26063013, 15323433, 169212428, 72888543, 90727368, 15201803, 64410245, 8352391, 74406777, 60881301, 30097089, 21571738, 30720515, 67142518, 125791548, 86657443, 1250663, 78038032, 83707572, 8699484, 60428375, 90181894, 24346444, 10319841, 89250886, 76350134, 85358323, 32373667, 66211469, 70227902, 54663602, 13783201 ], [ 63235793, 97085922, 91521943, 36890775, 25910147, 7829423, 177470739, 55032171, 109653957, 23728819, 27512493, 74243328, 71615469, 31379857, 50053741, 139254712, 206066800, 148363555, 251737654, 30671516, 17088587, 46042705, 52292132, 34088334, 1830157, 43176167, 2951290, 75995835, 4139590, 21147669, 46945920, 48525486, 130629805, 93710914, 9919743, 180270267, 75658524, 3966872, 28083375, 26723723, 28638365, 24958143, 49871356, 124972417, 7150152, 72093546, 16082988, 11190101, 79187697, 114644094, 26014536, 87331021, 139611047, 223294280, 98129014, 91124678, 5019759, 195371164, 38478205, 17644451, 176868928, 48287149, 38504136, 74046888, 72999968, 114734156, 9199391, 145200536, 90734652, 11128502, 10978518, 6038789, 43998752, 60270550, 20588532, 116247650, 307688802, 40748959, 169109617, 19249411, 81540790, 25196906, 96843841, 61282264, 97975902, 23136344, 42278587, 143590005, 5784357, 61484539, 49707664, 7492623, 25184449, 19222845, 60854711, 65146730, 26290681, 5567090, 110766261, 18331308, 113821545, 31481391, 64410245, 237436864, 18629613, 11873303, 19338823, 33012513, 11261624, 216102536, 49678368, 64565523, 108328295, 75181303, 88138403, 77874438, 55381893, 9219250, 39027969, 11520981, 20569190, 67476139, 114474204, 81277898, 78854301, 4746681, 54663602, 85210139 ], [ 33459195, 37182334, 19403589, 27899268, 1773737, 42600000, 64387108, 130453420, 31816588, 74127723, 120347729, 74243328, 71615469, 307610120, 163832665, 51830420, 204377948, 90724599, 166849125, 56392526, 21201443, 174709220, 54507159, 34088334, 14849280, 95342846, 16674892, 75995835, 4139590, 9811063, 32318278, 19256234, 26409604, 59810593, 9919743, 45112119, 4622927, 90519181, 123466888, 9782604, 12891339, 105543159, 82726516, 41882169, 37029892, 11684360, 3890878, 115081052, 90489120, 26018692, 26014536, 24824972, 57681202, 104461409, 98129014, 13802806, 179471924, 150389399, 14648640, 56628046, 46543422, 66316249, 33395442, 48164330, 28210030, 23458859, 438754546, 11729070, 241511516, 8937545, 22704879, 79362433, 26179740, 18583904, 21243124, 121578235, 1375471, 25369199, 19353368, 19249411, 158750746, 629887, 40525522, 136970295, 64355996, 23136344, 93655025, 125779475, 36523646, 263283526, 34034374, 7492623, 112539852, 8015958, 15272083, 140446503, 35212484, 43573138, 100823067, 18331308, 138039854, 1121340, 64410245, 129459362, 29603894, 115582686, 130301721, 33012513, 35164341, 108142478, 49678368, 109796449, 45877217, 22656848, 83707572, 77874438, 14187457, 9219250, 22244656, 10319841, 32182005, 67476139, 17832662, 63917317, 130806112, 72304628, 54663602, 123716021 ], [ 111859769, 83328899, 91521943, 277387486, 125013236, 7829423, 157367015, 130453420, 47429823, 42567223, 151853792, 55136879, 8799657, 32351205, 18258484, 127406295, 96174898, 44778422, 51287163, 101983738, 1549220, 171549254, 3681839, 34088334, 18345311, 43176167, 195681829, 235847852, 36979083, 9811063, 166811838, 30479417, 130629805, 184029825, 9919743, 180270267, 85660278, 90589342, 217041723, 26723723, 36108440, 83518790, 98787651, 96467989, 3168497, 181581527, 10769015, 112517469, 168311961, 85786520, 26014536, 56600861, 39673329, 52772735, 74241463, 13802806, 48974014, 7865970, 14648640, 4953182, 45375838, 35379752, 8135100, 48164330, 180005608, 137077539, 131606927, 72847618, 25329720, 11128502, 22822546, 104722467, 26179740, 11856924, 20588532, 28364330, 142157452, 71500726, 95255415, 7071017, 72730439, 99339, 24766906, 23507974, 115619223, 23136344, 122076125, 143590005, 24695045, 72244029, 68035297, 2933573, 78426205, 5981877, 117806464, 93845942, 9904138, 43573138, 8006431, 30702354, 12946583, 19536936, 64410245, 114835017, 21975875, 2176589, 160122026, 43313435, 35164341, 254881093, 31533926, 63579621, 37436007, 10652167, 162901039, 66124152, 14187457, 9219250, 24346444, 18949415, 1037861, 67476139, 82748476, 78707398, 208043842, 120481189, 32424588, 41313697 ], [ 41925532, 36539407, 67104263, 36890775, 3431960, 7829423, 17837375, 35571681, 38287591, 85692249, 94819122, 55136879, 90590996, 78636361, 50053741, 15952902, 35635354, 33193243, 135377639, 21811876, 69861726, 63913666, 33784157, 2342030, 21710163, 43176167, 17558543, 46274253, 85673659, 21147669, 3901026, 24998216, 130629805, 33567039, 6065635, 18075485, 11585652, 8803629, 56380374, 36700884, 56845272, 7706045, 88954935, 744442, 77489386, 10914927, 17429274, 28538266, 58222733, 136313670, 125977255, 87331021, 10215045, 75203168, 16043503, 162848300, 22877542, 8221730, 14648640, 32438905, 8564501, 125265932, 129436178, 48164330, 8529026, 59560686, 31291139, 20876282, 17798266, 11128502, 51202495, 52861564, 73522015, 30813733, 12105143, 116247650, 39107390, 31532024, 51533679, 19754941, 45404420, 11841208, 16840117, 21965173, 4110812, 23136344, 56071113, 14071111, 35901352, 73828439, 49707664, 125731858, 26591430, 19222845, 60854711, 88201049, 44055985, 43573138, 24143532, 40347440, 200397632, 97384282, 45726584, 64416516, 18629613, 189123698, 19338823, 6373325, 35164341, 6293875, 43644912, 22318167, 34900327, 66096628, 116695684, 13721683, 14187457, 77253166, 155051771, 11520981, 4361997, 35192965, 10658230, 35318669, 75147213, 4291964, 7442237, 30789880 ], [ 52978092, 83328899, 91521943, 71795229, 7667794, 86127664, 59503626, 117250155, 47429823, 43540580, 71647099, 45643335, 8799657, 13920403, 88260215, 23830562, 7948495, 44778422, 6239508, 81309823, 144251468, 46042705, 48133062, 548401, 21710163, 43176167, 65547576, 8874972, 4139590, 21147669, 17582130, 2868832, 39949637, 3345264, 9919743, 100200947, 3361707, 9288770, 162586864, 30373737, 80695730, 10793427, 2411081, 106083912, 1351015, 41088252, 21595824, 36292908, 102949115, 60216930, 15383545, 10824101, 161036725, 42624056, 47110452, 46420004, 90633806, 7865970, 14648640, 82721387, 17639151, 48287149, 38504136, 48164330, 25872681, 8956649, 73722569, 20876282, 36603489, 11128502, 56200090, 286866216, 129111987, 30813733, 20588532, 29962433, 57303198, 4232416, 44841138, 19249411, 35219218, 629887, 24766906, 26791723, 210577757, 22740229, 35787454, 16521514, 10640570, 73828439, 75955374, 7492623, 72104238, 10578224, 204666584, 5229812, 9904138, 43184542, 110766261, 30702354, 34698755, 79870237, 64410245, 15381447, 18629613, 156276464, 100143768, 30623069, 118933817, 49044164, 43458299, 26827882, 22799841, 70427007, 11146030, 77874438, 14187457, 134045925, 39902837, 10319841, 10094996, 50404181, 17832662, 58478176, 83586550, 70227902, 54663602, 82023210 ], [ 82816544, 75324996, 40672129, 453750, 125013236, 7829423, 13912681, 212672430, 47429823, 14650532, 42522121, 55136879, 84520594, 15869554, 94244037, 13112516, 76141940, 33303898, 5312691, 38871020, 22943077, 176407070, 54507159, 34088334, 95842259, 47168326, 43683287, 64536951, 23013064, 21147669, 90105736, 50579299, 15376883, 84247488, 93282730, 36940399, 86101958, 11574712, 87372307, 15812072, 51923790, 122622942, 47817339, 67110770, 32733857, 10151165, 22487531, 71391622, 106295078, 55088100, 26014536, 10030682, 28551907, 49755262, 74241463, 58746990, 150297122, 6691387, 14648640, 148637290, 115403208, 267973227, 48071169, 6997805, 4979124, 50685897, 61880264, 92051190, 40194446, 11128502, 101377208, 246585164, 104330210, 6787830, 8301896, 98255195, 21526573, 1374860, 80381280, 74723943, 57131594, 16787782, 24766906, 132860826, 7835358, 23136344, 4519966, 34238774, 40109011, 57857736, 190449205, 435639, 23401976, 19222845, 79091183, 119828124, 47946239, 43573138, 211593981, 70313480, 22953946, 30431609, 22173503, 21086351, 80291893, 15968883, 144097404, 63785001, 35164341, 142381703, 31533926, 165359620, 47260902, 24390536, 22945610, 1188818, 14187457, 65998499, 52506329, 100018922, 7805551, 67476139, 65209271, 16609967, 223595272, 35507064, 4450784, 12517399 ], [ 60734568, 97085922, 16012656, 64949304, 33277103, 137298038, 64080650, 219789550, 245478683, 14650532, 61759835, 200758401, 22320122, 4774759, 103090270, 37347263, 134689134, 33303898, 65655410, 138673085, 22943077, 46042705, 54507159, 34088334, 116257715, 12300080, 30725277, 46771224, 65657951, 21147669, 85887807, 242606352, 123566261, 22333972, 104044918, 406693726, 15948992, 81211828, 46648481, 101321538, 10325177, 39668587, 84011763, 119808542, 239972320, 5564078, 132247272, 145062040, 101150932, 224854834, 26014536, 87331021, 246096465, 259586446, 26888288, 127060380, 163969303, 9884510, 14648640, 29773066, 297374151, 80565633, 11447161, 47980771, 23802493, 114734156, 9903185, 19225919, 40194446, 33309763, 227991867, 6038789, 107607561, 188747010, 202418543, 412636266, 263054, 71500726, 95255415, 29251459, 18620575, 232855899, 69669642, 99854249, 8841244, 23136344, 32312309, 143590005, 52984891, 5362144, 207822577, 113429441, 8702321, 19222845, 8190830, 35053049, 9904138, 15323433, 420458922, 30702354, 231518267, 30431609, 160134244, 42464866, 144707236, 84895416, 160122026, 137034153, 35164341, 356369154, 76200431, 344513851, 256149728, 216257267, 303024978, 50231375, 14187457, 116940943, 5548202, 100018922, 105648214, 37227739, 446425547, 61567207, 238915946, 4957152, 8438163, 54727878 ], [ 174162059, 11526341, 192419877, 145927394, 136245013, 117181016, 123781816, 237504888, 248913679, 5647677, 55055204, 17470031, 137451573, 61906941, 232818513, 118793617, 36090254, 69607594, 99628708, 138673085, 27774138, 83181439, 48133062, 27832087, 38314646, 98684491, 236527341, 266029626, 85673659, 192303654, 39537873, 30479417, 24847453, 177529685, 22427269, 107832548, 15948992, 196410312, 39989339, 216785994, 85422202, 17280545, 186424101, 168719466, 165399986, 181581527, 96064311, 98824032, 702989, 131074742, 26014536, 330996570, 39235449, 153065950, 17366602, 388468692, 47404118, 61674512, 16157132, 31897130, 19428822, 146962618, 30771820, 47980771, 32516794, 67120315, 107754139, 56320865, 45926354, 80203432, 413801452, 6038789, 127652156, 64458035, 130260023, 353772556, 157565106, 101835444, 69733189, 161818749, 243336865, 341375847, 9402640, 26791723, 48897944, 23136344, 120551102, 53300750, 163800226, 76965132, 71628392, 16002465, 43268563, 19222845, 97838497, 5229812, 47946239, 43573138, 220780532, 12345279, 416874931, 67315642, 9670333, 88710090, 80291893, 4900151, 66820896, 75950156, 35164341, 3674981, 54401950, 11400640, 135784036, 13069568, 54283146, 27968347, 123359600, 22077523, 39902837, 220068422, 90478228, 281744808, 438096311, 3030832, 56362769, 192034758, 373491954, 217339421 ], [ 150014733, 136465674, 91521943, 14331210, 136245013, 88044602, 81223123, 35826922, 11338106, 14650532, 22697464, 17470031, 57335803, 63070458, 57273016, 32692633, 35635354, 83222863, 39374304, 138673085, 27774138, 46042705, 37469071, 34088334, 13601251, 23604150, 70439458, 46274253, 36979083, 9811063, 90105736, 30479417, 92420806, 74804123, 22427269, 22598478, 140274632, 150742036, 86884185, 48807174, 11142073, 17280545, 165817075, 744442, 239972320, 1918621, 46963576, 145062040, 76526466, 121874211, 26014536, 49228694, 141616975, 30067172, 74241463, 10654555, 177760154, 135608475, 14648640, 31897130, 68185028, 146962618, 33395442, 48164330, 23802493, 74944560, 3844976, 20876282, 40194446, 11128502, 65080746, 94063515, 26179740, 209949660, 173131988, 57292505, 39107390, 90102240, 69733189, 108979105, 48646017, 26865331, 24766906, 45077948, 48897944, 23136344, 131190754, 143590005, 12375415, 73828439, 1357031, 173718580, 43268563, 19222845, 88914554, 5229812, 47946239, 43573138, 78856754, 11632480, 45749314, 22447868, 64410245, 42464866, 34746438, 59792359, 160122026, 74796395, 25644624, 48503409, 8198026, 27661241, 93898343, 13069568, 54283146, 50231375, 14187457, 15090074, 24346444, 11520981, 15166187, 73651841, 42882095, 78707398, 40782327, 79148097, 531526, 8385885 ], [ 150014733, 73957937, 91521943, 20870230, 25910147, 7829423, 129549792, 35950279, 6860398, 71013518, 20364062, 17470031, 121467694, 69439694, 23331017, 4470416, 18518610, 137259315, 63583651, 102239027, 69861726, 46042705, 54507159, 16439853, 8151623, 34974794, 22853199, 258506798, 37749319, 21147669, 145809542, 118197882, 81877095, 221279484, 22427269, 4269090, 85660278, 19944539, 37541887, 57405809, 51923790, 4014440, 48059919, 13145105, 85409986, 166557303, 46963576, 48441767, 5645189, 26018692, 19779246, 86665551, 12789386, 67955405, 74241463, 411402, 45263624, 17441936, 66967279, 31897130, 32070065, 32759673, 33261372, 63943865, 4979124, 23458859, 58635147, 11529794, 50326426, 11128502, 65080746, 6038789, 48351787, 6787830, 20588532, 29962433, 142157452, 13923177, 19353368, 105789928, 76332171, 29198634, 15968442, 5951189, 48897944, 23136344, 3632414, 28286798, 52984891, 73828439, 99140986, 81925770, 33788022, 19222845, 60854711, 5229812, 35212484, 18724099, 93648340, 32328827, 12906696, 169805137, 64410245, 88710090, 18629613, 8737992, 14736201, 12460925, 35164341, 60704826, 43458299, 170141642, 103804387, 13069568, 23806041, 4371, 4778538, 116940943, 39902837, 27165719, 10094996, 1104545, 55099914, 61205752, 12114064, 66032977, 39011870, 8385885 ], [ 24568957, 10182332, 20551867, 74511019, 85942482, 7829423, 26373632, 10728620, 11338106, 37641298, 11836062, 74243328, 52047471, 28410311, 57273016, 21736456, 7619152, 28824799, 36161704, 29461190, 29984501, 298062608, 54507159, 16439853, 8151623, 95021866, 9823384, 31043805, 4139590, 21147669, 182484876, 48525486, 84672702, 3345264, 9919743, 15893949, 48222143, 15463697, 9985536, 37153598, 85422202, 74514401, 98787651, 124972417, 85409986, 5564078, 4320918, 18480267, 51647365, 43741075, 26014536, 43669082, 12789386, 40328191, 17366602, 34775875, 31988508, 41383126, 66967279, 34379776, 64124675, 24643627, 33395442, 6966118, 758187, 4770883, 107754139, 59442247, 50326426, 11128502, 41529654, 104722467, 104330210, 52015619, 36860704, 50509040, 15179998, 55246268, 47033036, 19249411, 75102643, 19377587, 41568497, 67433929, 8841244, 23136344, 71541590, 61785825, 93880636, 23140184, 97068254, 7492623, 23401976, 19222845, 97838497, 5229812, 49803073, 43573138, 73364302, 51947465, 6496455, 22036461, 22173503, 115179467, 20196655, 67723193, 102658799, 7617984, 53082757, 39156272, 31533926, 15443491, 17980645, 62689640, 158375120, 39529471, 42195682, 6241420, 11922186, 51565532, 7805551, 41366575, 42882095, 154737967, 95213712, 56493094, 54663602, 8385885 ], [ 78766855, 39301225, 9024081, 20870230, 125013236, 88044602, 108092179, 10728620, 47429823, 212447531, 10278007, 17470031, 25059519, 13920403, 53604258, 109020237, 7913937, 28824799, 188559672, 28941804, 63982155, 70120030, 54507159, 34088334, 32404941, 4398115, 70439458, 39720231, 85673659, 18419991, 13581730, 30479417, 28190702, 86439671, 106523663, 22598478, 85660278, 49917506, 23580742, 9951039, 188043164, 74514401, 4528959, 17925071, 91330508, 147177134, 7166190, 33027000, 120545568, 52133795, 24494642, 72386568, 7060369, 67955405, 74241463, 10462774, 62931609, 71019915, 14648640, 79400751, 144405045, 146962618, 166247101, 40391733, 185326835, 20852132, 101831917, 73819695, 1575802, 11128502, 77515203, 155373657, 137409740, 6787830, 20588532, 235806088, 43365618, 62078491, 95255415, 97649919, 12183523, 44235816, 24766906, 152145799, 19782298, 23136344, 43857363, 78160602, 176370436, 58016878, 40564702, 114032897, 25832841, 19222845, 119176544, 5229812, 124178173, 43573138, 117864039, 9350717, 23271493, 79870237, 64410245, 15381447, 95500772, 2904225, 86169072, 77764708, 12821873, 94194490, 79448139, 95889092, 103804387, 194919342, 240354627, 4371, 14187457, 85766347, 39902837, 51565532, 29868768, 67476139, 37426293, 12797032, 31072031, 94383002, 59543859, 18706785 ], [ 73278332, 13053654, 91521943, 53684186, 9930512, 126426122, 41532827, 10728620, 47429823, 16677736, 42522121, 343617, 86848865, 75666424, 23609316, 12983464, 64993173, 25228228, 5312691, 477735, 29984501, 46042705, 54507159, 14779042, 15072477, 4398115, 35728750, 31043805, 9998687, 6847388, 45865957, 94089, 72611553, 87829367, 57270658, 14287963, 89979232, 904925, 23580742, 5414511, 115882966, 39668587, 80363159, 27009633, 39598691, 30626675, 8266641, 145062040, 57139815, 3728851, 26014536, 43669082, 15119195, 67955405, 74241463, 30363827, 107804178, 50073440, 43045343, 43504609, 18475382, 24643627, 33395442, 26664358, 42556680, 28634471, 79892314, 20876282, 26803841, 11128502, 29909912, 78772660, 2585693, 60124172, 208517137, 26211148, 69579074, 19606683, 25956056, 26225179, 80116042, 160791120, 24766906, 39914296, 12184028, 23136344, 96107183, 10302683, 52984891, 73828439, 97068254, 37535636, 26452070, 7284989, 764587, 5232805, 44202109, 3760986, 93648340, 32328827, 207472463, 98509620, 18592239, 153698641, 108598905, 42055225, 1311736, 43313435, 26894823, 8246687, 49793696, 18245555, 103804387, 75222315, 39972636, 39529471, 5434082, 9219250, 52303884, 12625905, 46615755, 189456978, 17832662, 10815772, 85812889, 56493094, 28636233, 29744722 ], [ 35045781, 70772520, 81438998, 7150769, 131118776, 235146181, 66937712, 21421901, 11338106, 214644407, 111297908, 27182581, 71615469, 75666424, 57273016, 25475974, 18518610, 114778017, 55103783, 38769611, 6629246, 159771125, 49257403, 27836708, 8151623, 4398115, 58205030, 31043805, 85673659, 4516531, 2273841, 9423297, 92420806, 19490018, 9919743, 14287963, 140274632, 15463697, 9985536, 38857936, 78523311, 47812120, 98787651, 41882169, 148038832, 11684360, 3890878, 145062040, 7617318, 85786520, 181641608, 33810309, 12789386, 67955405, 8513457, 13066512, 62931609, 57345974, 29545950, 33823205, 18475382, 39487969, 158205286, 25638374, 84184190, 4770883, 53785903, 20876282, 50326426, 11128502, 44051163, 155373657, 62233714, 12467909, 42018138, 51136416, 142157452, 65090503, 169109617, 108979105, 70737589, 35924575, 24766906, 123867880, 26850711, 23136344, 47842151, 38692286, 80810548, 73828439, 28854300, 7492623, 38993620, 19222845, 132075651, 8165712, 90483140, 3760986, 213212694, 61809083, 207472463, 30776628, 64410245, 80690955, 20196655, 90867336, 86169072, 43313435, 35164341, 39156272, 31533926, 88436661, 17980645, 259420844, 162901039, 39529471, 63583366, 9219250, 6556908, 51565532, 42336616, 67476139, 919956, 78707398, 26256355, 58191293, 203003049, 8385885 ], [ 24568957, 97085922, 49462682, 20870230, 82165241, 7829423, 67601439, 19518841, 11338106, 1946080, 126992149, 55136879, 52047471, 75666424, 57273016, 1552204, 29553752, 10053466, 21332256, 57986132, 63982155, 179879684, 54507159, 34088334, 92008897, 6443914, 40853135, 144433741, 85673659, 21147669, 26631047, 6606854, 68758487, 103716003, 9919743, 22598478, 24956986, 52916695, 4439019, 37153598, 11142073, 95629138, 98787651, 14441715, 141293504, 5564078, 28485802, 76628932, 27658597, 44636849, 26014536, 7980156, 51243350, 67955405, 17366602, 10654555, 13120849, 261114148, 11163758, 13928676, 174351807, 24643627, 162581792, 4081438, 22879990, 4770883, 107754139, 110106786, 158975681, 11128502, 224436269, 93817214, 109368221, 166630089, 72786786, 116247650, 48982349, 63193423, 49193094, 27824878, 197633367, 6306853, 24766906, 4085512, 8841244, 23136344, 61441404, 143590005, 121733072, 58507506, 64491779, 7492623, 41537798, 19222845, 21563954, 5229812, 134214648, 43573138, 114793140, 70313480, 99357158, 266439366, 64410245, 80690955, 1012952, 1543963, 105212784, 13452057, 35164341, 94194490, 24415018, 66045757, 17980645, 194919342, 250504567, 4371, 3207842, 191786907, 39902837, 11620212, 142027248, 52548562, 37426293, 3030832, 35289127, 56493094, 141850182, 8385885 ], [ 80769105, 106571574, 107601258, 20870230, 81271257, 7829423, 52638771, 19518841, 47429823, 99943189, 8832978, 28429720, 52047471, 62186854, 57273016, 101806224, 35635354, 115646117, 140199065, 49764429, 29984501, 41601143, 52292132, 1333810, 100019266, 6443914, 17558543, 5573208, 4139590, 3891178, 68843869, 118197882, 168067667, 103716003, 22427269, 22598478, 17575784, 90589342, 9985536, 36700884, 85422202, 7658704, 49905013, 79753976, 21192239, 159078101, 28485802, 34416686, 9658021, 194817502, 26014536, 87331021, 141616975, 67955405, 979677, 10654555, 75648262, 6044690, 14648640, 31897130, 14715962, 2672366, 16614067, 48164330, 22879990, 4770883, 100139302, 110106786, 6005507, 11128502, 24710142, 74636982, 26179740, 60270550, 22960791, 116247650, 142157452, 3679330, 72262860, 16322901, 41445570, 156045941, 24766906, 7409893, 94396060, 23136344, 66705807, 104721923, 6355826, 73828439, 1357031, 74765455, 222729839, 19222845, 97838497, 5229812, 37119810, 43573138, 8006431, 154455089, 156622523, 8691558, 42410573, 2842731, 145198935, 150049881, 102658799, 134792681, 35164341, 63829230, 26595740, 201496898, 17980645, 13069568, 39168034, 4371, 14187457, 52992930, 24346444, 31463377, 43942944, 58230959, 78450438, 78707398, 223595272, 110159101, 39011870, 125388862 ], [ 12732776, 72975813, 16012656, 48806476, 136245013, 49446834, 7199722, 5721055, 92583342, 14650532, 33741451, 17470031, 76460714, 75666424, 53878975, 21736456, 18518610, 44778422, 5312691, 117408930, 75808299, 3516477, 54507159, 15734027, 8151623, 3571107, 9823384, 33230295, 85673659, 43495046, 90105736, 24998216, 130629805, 12003685, 159904878, 15893949, 39568922, 60030229, 47677916, 48807174, 50758034, 16419540, 23841273, 744442, 8672790, 10914927, 128578686, 28538266, 101150932, 224854834, 26014536, 20481205, 12789386, 11660676, 57797426, 52376212, 179471924, 9884510, 14648640, 66551443, 8564501, 106591976, 67400804, 48164330, 128717813, 128027267, 9903185, 20876282, 50326426, 11128502, 26763287, 68289925, 105319726, 3573302, 18970083, 188749759, 39107390, 71500726, 86817802, 24533706, 28623770, 97212073, 41568497, 158101305, 12184028, 23136344, 12729630, 110697934, 52984891, 5362144, 13885638, 38963439, 35744754, 19222845, 73745621, 44430424, 9904138, 21890807, 34881830, 28179107, 14545969, 79870237, 37542637, 42464866, 63229648, 410147, 160122026, 6373325, 35164341, 81933308, 40936145, 46191968, 113737700, 66096628, 13044790, 13721683, 14187457, 16471367, 5548202, 989728, 15166187, 67476139, 85358323, 30294394, 104594152, 222254078, 33560528, 10384455 ], [ 84275863, 97085922, 9024081, 20870230, 7813200, 7829423, 81223123, 7341564, 28835954, 6440627, 22697464, 16858700, 71615469, 304926114, 57273016, 59170089, 18518610, 35156769, 6150042, 76344852, 1549220, 67578591, 54507159, 34088334, 8151623, 43176167, 21748633, 2566108, 36979083, 9811063, 49928655, 48525486, 48960220, 90961544, 9919743, 41163899, 25177615, 33221467, 11374449, 52135780, 26930307, 16419540, 44249554, 84396464, 7150152, 10151165, 90365535, 28538266, 84387194, 16255500, 26014536, 53143035, 12789386, 49755262, 98129014, 10654555, 78698269, 4698523, 14648640, 27143142, 75983765, 66703717, 33395442, 45115999, 41802942, 79262582, 131606927, 71913506, 25329720, 11128502, 55034343, 104722467, 2585693, 78815504, 20588532, 116247650, 15179998, 9367853, 52311473, 26225179, 59944870, 176068714, 36793278, 63937692, 1813341, 23136344, 32760810, 2018850, 37520657, 73828439, 15432182, 7492623, 8702321, 6362173, 31335309, 28933106, 21590727, 15323433, 72877237, 9350717, 12906696, 6227883, 22173503, 74304952, 87455382, 64519096, 42601535, 80468152, 35164341, 150118051, 253755655, 18245555, 93898343, 52554188, 158340846, 4371, 14187457, 92843145, 24346444, 60769819, 7805551, 67476139, 78270872, 78707398, 208043842, 97699004, 127281087, 53692391 ], [ 69186096, 8330499, 91521943, 20870230, 125013236, 69473777, 11334436, 76999789, 47429823, 67935976, 61103616, 38819351, 11463552, 987623, 57273016, 64324473, 35635354, 44778422, 51287163, 56392526, 323400, 73774743, 45717717, 34088334, 5268798, 3571107, 46545743, 46274253, 36979083, 9811063, 78104164, 4276608, 57766351, 133335399, 9919743, 180270267, 43257132, 90589342, 53249235, 49583705, 152101415, 112945, 49905013, 124972417, 22732079, 10914927, 46963576, 28538266, 92307851, 85786520, 27794976, 14538314, 231502, 53709380, 74241463, 10654555, 17628513, 9172162, 14648640, 31897130, 263640641, 51409981, 40736532, 48164330, 169513495, 59247595, 110304335, 20876282, 63046026, 11128502, 21947658, 6038789, 26179740, 89533723, 132454911, 51136416, 110310418, 71500726, 38273279, 10251915, 5105700, 156045941, 24766906, 45077948, 210145180, 23136344, 131190754, 80573135, 54471972, 25413000, 25901517, 7492623, 20077500, 21117472, 182533447, 5232805, 9904138, 43573138, 117864039, 30702354, 66315233, 22447868, 57471102, 25339270, 98935806, 1543963, 78058920, 188115517, 35164341, 39156272, 31533926, 96419578, 93898343, 13069568, 211693438, 4371, 14187457, 32074326, 24346444, 94962878, 159885149, 67476139, 37426293, 78707398, 39180969, 12641401, 39011870, 20795764 ], [ 24568957, 73957937, 9024081, 28416508, 25910147, 2991048, 182108133, 20816915, 31816588, 21155339, 20528937, 55136879, 18358131, 41771338, 285126274, 165212953, 73125700, 10648837, 180875844, 56392526, 34820898, 46042705, 42547751, 34088334, 31098762, 47168326, 12196366, 75995835, 4139590, 21147669, 315603, 80293934, 68969608, 87539113, 9919743, 22598478, 140274632, 90589342, 12969820, 101321538, 188043164, 556136, 12332304, 56124096, 41790801, 72681927, 46963576, 5528881, 34621639, 212809955, 11269533, 56600861, 176589462, 11660676, 74241463, 4594979, 24442330, 49122919, 14648640, 28597584, 2470016, 78285748, 82451291, 48164330, 745699, 121502351, 69562943, 17089801, 69539631, 11128502, 22704879, 126197054, 43998752, 28358421, 39061212, 28364330, 8514674, 17656019, 19353368, 16322901, 7296316, 71414976, 12545425, 58295499, 8436510, 23136344, 134580896, 34969278, 48669013, 27255660, 24296968, 7492623, 112610509, 10923975, 62289908, 5229812, 15522368, 43573138, 97770868, 9350717, 12906696, 91003484, 64410245, 24596367, 4278168, 6136708, 102721528, 13604125, 134974084, 18875456, 25802810, 27382384, 20367716, 21988495, 152971458, 40457437, 14187457, 33387298, 39902837, 25294653, 32182005, 27404653, 34781054, 187503914, 50216639, 1832243, 13144125, 59881781 ], [ 82816544, 88784535, 91521943, 102079969, 136245013, 7829423, 81223123, 2963064, 8054186, 16677736, 21484191, 58141178, 65169718, 97544519, 33521235, 71614902, 40855158, 148363555, 153024642, 56718473, 29848094, 411056441, 54507159, 34088334, 15072477, 23604150, 26468430, 20484648, 4139590, 21147669, 90105736, 48525486, 130629805, 53230853, 9919743, 180270267, 141050091, 263074053, 151510794, 194479144, 51923790, 124550739, 98787651, 124972417, 196409804, 5564078, 98885035, 132555722, 14335983, 85786520, 13546661, 72386568, 176216497, 67955405, 98129014, 86751626, 17628513, 47929753, 14648640, 3097970, 68185028, 49153403, 33395442, 48164330, 4979124, 8767110, 70797506, 14403749, 1575802, 11128502, 77589226, 153228347, 104330210, 6787830, 31286394, 94579031, 27684402, 90102240, 95255415, 14728659, 8213627, 37918138, 41568497, 9119735, 8841244, 5011879, 38087537, 34238774, 97765357, 73828439, 191962791, 7492623, 33788022, 19222845, 55887444, 28933106, 27308483, 43573138, 8006431, 81208466, 61104428, 6227883, 64410245, 18143679, 125381541, 150049881, 119201429, 68023765, 35164341, 68911876, 31533926, 152283894, 108892514, 29088591, 186355440, 77874438, 14187457, 53702071, 155581060, 83135938, 98049236, 67476139, 68831384, 35781802, 89680408, 166270172, 30425695, 158189237 ], [ 81365832, 38167608, 25644859, 53684186, 79445048, 7829423, 81223123, 77448307, 25044537, 29412339, 126174866, 55136879, 7434452, 43984272, 59778256, 134996176, 3227473, 44778422, 30664878, 28941804, 29984501, 83754180, 16621108, 34088334, 8151623, 43176167, 70439458, 46274253, 85673659, 17592552, 90105736, 125103410, 10542364, 1422517, 9919743, 41163899, 85660278, 19944539, 217041723, 3894685, 124636628, 7658704, 49905013, 29705619, 39598691, 125568873, 46963576, 14156480, 175936688, 78224680, 26014536, 70008765, 12789386, 211551143, 74241463, 62097151, 55492492, 6044690, 14648640, 99788052, 5179922, 8417138, 8648145, 48164330, 28367226, 42602402, 13716930, 8586489, 13911521, 11128502, 19094705, 8520833, 4377831, 74703155, 20588532, 116247650, 74581933, 31134821, 34128022, 74104424, 98270946, 46523739, 24766906, 45077948, 77254106, 23136344, 143989921, 28286798, 74453127, 56421125, 22346814, 7492623, 143273938, 19222845, 199466645, 9474467, 9904138, 30697211, 8006431, 30702354, 50356547, 218835269, 64410245, 2842731, 34374270, 10148911, 130163979, 190714413, 26093144, 10655704, 134330898, 71287516, 8928103, 43134502, 53668711, 3743376, 14187457, 206474779, 6556908, 94962878, 95829729, 1104545, 77757500, 35359440, 131095943, 50279782, 13486249, 69456947 ], [ 24568957, 83328899, 9024081, 20870230, 33277103, 7829423, 67601439, 109776646, 7492726, 28915564, 151853792, 17470031, 71615469, 63714770, 148025828, 185523082, 18518610, 35210160, 145452590, 16129055, 69861726, 106696443, 3464218, 80802178, 8151623, 27688009, 70439458, 46274253, 36979083, 9811063, 23266227, 4276608, 130629805, 19490018, 9919743, 11277096, 48222143, 21339752, 18865450, 48807174, 51923790, 17280545, 43150011, 744442, 7150152, 10151165, 90365535, 76628932, 27922, 65136376, 26014536, 50570440, 12789386, 49755262, 58723682, 10654555, 92208741, 57345974, 14648640, 31897130, 64124675, 56202485, 77838810, 48164330, 4979124, 78231583, 34312908, 20876282, 26803841, 11128502, 91229843, 105937093, 2167291, 12467909, 59646540, 116247650, 8514674, 17656019, 19353368, 49279826, 7296316, 94236501, 36793278, 58072473, 7835358, 23974405, 119891652, 34238774, 47087107, 73828439, 25901517, 7492623, 4936116, 19222845, 111880864, 5229812, 137587005, 15323433, 114793140, 9350717, 12906696, 22447868, 22173503, 25339270, 20196655, 21436149, 160122026, 110035238, 35164341, 4752265, 157314597, 75045937, 47260902, 2942449, 39972636, 4371, 14187457, 135279616, 24346444, 94962878, 7805551, 112851148, 6464083, 12797032, 111288290, 1832243, 57156642, 59881781 ], [ 14107149, 68758734, 91521943, 20870230, 125013236, 7829423, 9664935, 269223761, 47429823, 41997364, 20364062, 55136879, 20269355, 62120632, 25672922, 21736456, 18518610, 148363555, 67004930, 56392526, 69861726, 59986610, 45201766, 65539495, 8151623, 28876787, 9823384, 8874972, 34996821, 21147669, 14707262, 212892890, 13784895, 227627053, 6192340, 15893949, 51804527, 90589342, 44363295, 36700884, 144821791, 2773856, 6687197, 17337090, 7150152, 47565358, 10632330, 127497359, 79187697, 70746261, 14596797, 20481205, 12086014, 63270843, 47110452, 79035092, 61502600, 38845634, 109971918, 221127417, 18907541, 49707186, 145428689, 196236874, 16157824, 34035772, 31754918, 313465, 4426774, 11128502, 22704879, 166078129, 43998752, 71254643, 53256639, 76258876, 142157452, 9367853, 56535720, 26225179, 18620575, 48006655, 24766906, 45077948, 1813341, 7244825, 103379690, 54059003, 47087107, 12180781, 13926909, 7492623, 52351213, 19222845, 8190830, 52404712, 81660785, 43573138, 18278949, 5593722, 38645547, 39128055, 58839351, 51432934, 161892340, 19909213, 16100879, 1634069, 60066507, 17299405, 8198026, 70875298, 34900327, 53322403, 162901039, 4371, 643623, 92843145, 1231057, 94962878, 18888453, 142031484, 96947080, 96631572, 5970149, 1832243, 8438163, 14103721 ], [ 161162372, 136748035, 91521943, 3022990, 136245013, 7829423, 98350183, 74804, 31816588, 290033637, 150685462, 69354034, 127725622, 35709735, 33521235, 165815368, 148249129, 98105914, 89264864, 37690172, 40412634, 46042705, 16621108, 29696371, 15072477, 7844174, 52184240, 41914876, 39718218, 18419991, 216228118, 24392808, 68623986, 1422517, 281823288, 126173799, 89979232, 49181866, 217041723, 107331138, 188043164, 39668587, 62744745, 124972417, 56922905, 154954422, 46963576, 5528881, 28791263, 224854834, 26014536, 87331021, 161036725, 21139736, 74241463, 30920268, 141092434, 250111430, 68601867, 34442368, 66163271, 37045068, 43978709, 74046888, 4695700, 81270623, 79036542, 20876282, 26803841, 11128502, 81048222, 124029708, 163833147, 92766802, 331567153, 530850, 37518270, 97857801, 5564859, 26225179, 84268402, 48006655, 24766906, 45077948, 128009434, 21484166, 808847127, 143590005, 48669013, 1586059, 44884853, 13295999, 956223, 19222845, 55887444, 349345844, 44075414, 43573138, 34881830, 32328827, 207298763, 136179692, 64410245, 28536019, 23382202, 80134114, 86169072, 7617984, 25420043, 39156272, 8198026, 186225306, 34900327, 117732557, 39972636, 77874438, 71561485, 85766347, 6556908, 21943862, 139384072, 23369490, 37426293, 12797032, 2744009, 120708607, 39011870, 35432576 ], [ 24568957, 97085922, 91521943, 7150769, 136245013, 7829423, 30202580, 7320926, 47429823, 81515128, 84009631, 69354034, 71615469, 43984272, 418008493, 192486098, 68176256, 148363555, 287602038, 64922813, 29984501, 46042705, 3915686, 16439853, 15072477, 3571107, 58205030, 146124398, 4139590, 17804636, 9367234, 42229856, 33744510, 1422517, 9919743, 18914570, 7728598, 941774, 39196081, 26723723, 36108440, 8336817, 49905013, 63822203, 30274584, 44570338, 16984205, 5528881, 233909435, 78224680, 26014536, 70306353, 66086642, 21139736, 74241463, 300617482, 55492492, 64521065, 14648640, 129046407, 275634471, 91164240, 33395442, 48164330, 109786584, 43793676, 131606927, 8586489, 90609775, 11128502, 3837077, 7983738, 4377831, 60270550, 55101405, 116247650, 2186367, 91256681, 95255415, 19249411, 102575134, 19213264, 24766906, 152145799, 6600791, 23136344, 65709753, 118178012, 48669013, 73828439, 191962791, 7492623, 58974079, 8024934, 25784813, 154530918, 102931507, 11293016, 8006431, 32328827, 156622523, 218835269, 64410245, 33373381, 29603894, 35033547, 42007041, 194974320, 35164341, 20602581, 14870913, 152283894, 19576805, 43134502, 198570903, 77874438, 14187457, 85766347, 6556908, 51565532, 174415315, 27708952, 97489138, 78707398, 49309502, 132910245, 54663602, 20795764 ], [ 63235793, 73957937, 20551867, 74511019, 1021516, 7829423, 28045903, 51515265, 31770205, 4393976, 119367130, 38819351, 74634794, 12188205, 57273016, 61074071, 7619152, 7501208, 7011872, 64976321, 39024619, 63546489, 49257403, 9848620, 8151623, 47168326, 70770936, 22748138, 4139590, 9811063, 30057264, 1452202, 130629805, 198581054, 194043116, 22598478, 55620918, 11574712, 117270524, 48807174, 5540999, 124550739, 114412716, 744442, 36203442, 5564078, 46963576, 31226195, 9195241, 64241412, 26014536, 27526070, 12789386, 49755262, 62212096, 10654555, 69399563, 1621307, 14648640, 90923096, 64474081, 24643627, 38504136, 12293544, 758187, 113696908, 110304335, 20876282, 50326426, 11128502, 82196189, 8520833, 26179740, 60270550, 37582260, 116247650, 39107390, 66061562, 49381587, 19249411, 67826708, 141894240, 24766906, 117292107, 8841244, 23136344, 57106426, 34969278, 115531374, 3508226, 25901517, 222310276, 18179967, 19222845, 144149858, 5232805, 9904138, 43184542, 33383386, 23689107, 37460249, 22447868, 22173503, 25339270, 34374270, 134518649, 160122026, 109589172, 35164341, 127411326, 31533926, 65918568, 8928103, 15844133, 33029268, 77874438, 6292514, 67066434, 6556908, 10524672, 7805551, 277962867, 68831384, 78707398, 11770568, 56493094, 54663602, 1083979 ], [ 47394511, 31030065, 27156500, 17412924, 61840, 22758531, 53867737, 68139512, 47429823, 129232697, 34640013, 34518685, 71615469, 15543686, 71800708, 44920302, 18518610, 7501208, 21654249, 92208581, 323400, 66223794, 49257403, 70410920, 8151623, 43176167, 5164034, 2563802, 85673659, 21147669, 88590952, 152572608, 37924836, 15009886, 9919743, 107832548, 62666360, 242374088, 4439019, 173241302, 12618427, 90291037, 98787651, 44225706, 237901945, 181581527, 46963576, 226209080, 83503633, 45529521, 26104170, 20481205, 12789386, 211551143, 74241463, 86751626, 152683164, 22511935, 29545950, 13928676, 234811870, 37045068, 56668070, 74046888, 95862390, 141528714, 110304335, 20876282, 30422587, 11128502, 101377208, 39280285, 27748232, 6787830, 132454911, 4931329, 52213919, 22464142, 86817802, 88889098, 298848648, 176068714, 2989205, 19417676, 42126297, 208553007, 26556088, 143590005, 57605308, 73828439, 75661415, 7492623, 33788022, 19222845, 36411296, 5229812, 44075414, 20716534, 296390182, 76587077, 25234297, 79870237, 64410245, 26167527, 34374270, 74419505, 105212784, 55492560, 24606677, 39156272, 31533926, 121949418, 8928103, 117732557, 34187618, 4371, 14935790, 135279616, 6556908, 94962878, 159885149, 67476139, 8923798, 78707398, 35289127, 120708607, 13486249, 88630590 ], [ 163360718, 66315063, 91224043, 230469863, 125013236, 137611764, 160531839, 152613497, 5863279, 101378650, 119367130, 55136879, 71615469, 161709623, 140173689, 170483556, 41853740, 44778422, 151501485, 564141, 155369916, 17451712, 49257403, 97596219, 101437440, 26559597, 68440864, 46274253, 31281399, 21147669, 92480460, 70273007, 94712349, 6846038, 9919743, 115791214, 62666360, 90589342, 180758841, 17869062, 188043164, 39668587, 89956363, 124972417, 141293504, 10151165, 17764656, 226209080, 169488167, 49316337, 27794976, 87331021, 991228, 49755262, 74241463, 15256000, 55492492, 82466778, 25272896, 135397780, 95734052, 163526627, 56385605, 23951579, 95862390, 34035772, 110304335, 313465, 98297216, 11128502, 47172877, 41498887, 151683338, 83174504, 5309985, 51136416, 35711547, 48312578, 29660403, 4317603, 64000279, 46523739, 24766906, 12665720, 23990877, 7244825, 26321502, 20226355, 52984891, 73828439, 1606808, 5193768, 23401976, 19222845, 59017585, 44916132, 9898363, 43573138, 182030339, 5582545, 23271493, 79870237, 22173503, 49863423, 34374270, 28337482, 16100879, 56759152, 35164341, 39156272, 141938349, 152283894, 108892514, 32745794, 229299939, 74931875, 21334239, 25956325, 6556908, 94962878, 7805551, 67476139, 67065931, 78707398, 223595272, 895863, 25577967, 50354281 ], [ 111611188, 38167608, 43139594, 20870230, 136245013, 7829423, 40798206, 168901950, 25044537, 249959621, 94386302, 61471504, 84520594, 42449034, 57273016, 52926680, 35635354, 148363555, 7561879, 12230160, 323400, 42275137, 49257403, 70410920, 15072477, 117016792, 166394708, 108531850, 4139590, 12673692, 208032957, 152572608, 31538859, 393179002, 240362676, 52512232, 277657016, 263074053, 76910149, 92296440, 5540999, 124550739, 163847019, 30272902, 239972320, 5564078, 18263058, 226209080, 233909435, 45529521, 26014536, 87331021, 299147041, 67955405, 149352766, 86751626, 13217982, 22511935, 177356704, 92566215, 313649315, 163526627, 161613204, 63735796, 114479603, 152204219, 131606927, 167615967, 265060410, 86828267, 101377208, 41498887, 104330210, 6787830, 55101405, 116247650, 48982349, 609600643, 110849097, 16322901, 144643058, 321571228, 41568497, 104252986, 8841244, 32550058, 192082432, 143590005, 31459281, 16578476, 141511634, 159164819, 33788022, 19222845, 55887444, 224424277, 12986335, 43573138, 8006431, 310801574, 13111456, 70435277, 173938505, 212900042, 34374270, 58838564, 102658799, 188115517, 144260599, 63829230, 31533926, 96839188, 130058598, 83582928, 17814667, 4371, 82300461, 111950818, 6556908, 53583048, 43942944, 67476139, 37426293, 185272794, 11770568, 45228415, 54663602, 20569385 ], [ 24568957, 97085922, 9024081, 20870230, 33277103, 32711496, 98350183, 10882454, 31558631, 79805230, 94386302, 52472405, 71615469, 92662603, 57273016, 159902062, 7619152, 21769575, 16111413, 56392526, 48800871, 66223794, 54507159, 4431609, 8151623, 47168326, 142319808, 12484535, 39718218, 18419991, 9903731, 108535708, 90978759, 87555067, 9919743, 4211472, 89979232, 125350875, 18788375, 101321538, 21299119, 33145416, 98787651, 24461868, 43249558, 72681927, 46963576, 14156480, 26619595, 85786520, 26014536, 41060138, 12789386, 67955405, 74241463, 55156742, 24442330, 34742023, 11163758, 63581951, 151784065, 156141697, 43978709, 16204944, 758187, 6615024, 131606927, 71913506, 50326426, 11128502, 22704879, 31668833, 43998752, 258346121, 714429, 51136416, 52213919, 97857801, 16528031, 26225179, 76332171, 48006655, 24766906, 152145799, 48737309, 23136344, 125043298, 81124833, 57605308, 73828439, 15166074, 7492623, 2224546, 19222845, 55887444, 51722485, 13451218, 15323433, 28962659, 9350717, 25234297, 17901753, 64410245, 132324476, 19451382, 106382214, 25916557, 31044122, 45380486, 39156272, 8198026, 90753229, 19473762, 8701297, 128532582, 4371, 60675625, 9219250, 65373577, 22153732, 105648214, 25533915, 29551890, 12797032, 261655964, 120740230, 40766866, 12655662 ], [ 24568957, 97085922, 27156500, 49501456, 60614589, 7829423, 75869350, 62039289, 15538033, 16677736, 11836062, 17470031, 121178850, 15543686, 87893983, 193602125, 36090254, 148363555, 37641829, 25379491, 69861726, 66223794, 49257403, 233575, 15072477, 173480922, 5164034, 39720231, 998259, 9811063, 17851763, 30479417, 33744510, 91141172, 22427269, 22598478, 62666360, 167645875, 4439019, 31012281, 88913394, 17280545, 114412716, 44225706, 91330508, 8932797, 8899107, 33027000, 116687584, 48642513, 26014536, 23471616, 61273185, 45244718, 72192128, 13802806, 100924813, 126129628, 137106750, 13928676, 22719135, 24647788, 166247101, 12293544, 43866018, 137077539, 10341723, 13989391, 7743794, 11128502, 3837077, 47593566, 26179740, 144912562, 46200503, 116247650, 52213919, 62078491, 98889092, 26225179, 197633367, 19213264, 41568497, 140116245, 48897944, 66872868, 38087537, 96801616, 6355826, 37437763, 157174296, 12856209, 47854487, 19222845, 25784813, 95982930, 172043648, 9359616, 114793140, 40334855, 25234297, 1587329, 52718830, 88710090, 34374270, 35033547, 160122026, 23837414, 35164341, 43653808, 14870913, 36924670, 1250663, 13069568, 85737349, 77874438, 56487388, 9219250, 6556908, 7755034, 146416411, 58307369, 919956, 22954088, 35289127, 42988814, 110770145, 117196834 ], [ 24568957, 83328899, 761466, 20870230, 33277103, 39623665, 157367015, 22328722, 47429823, 77985592, 94819122, 2491387, 71615469, 75666424, 24390593, 73071748, 217458, 69607594, 224407158, 21641970, 199537032, 46042705, 17975042, 34088334, 8151623, 11414663, 10281903, 40675048, 33120409, 21147669, 90105736, 83341156, 15113505, 76451841, 9919743, 22598478, 57662034, 183533100, 55341454, 194479144, 25091410, 39668587, 84751845, 14539178, 166440428, 181581527, 22487531, 129547060, 106295078, 85786520, 4981553, 86665551, 12789386, 31768625, 74241463, 2255300, 177760154, 28179810, 14648640, 186875839, 64474081, 56202485, 60638287, 15008321, 758187, 19596352, 31291139, 20876282, 16242110, 11128502, 15813536, 105937093, 65771, 110104068, 20588532, 51136416, 52213919, 21076761, 95255415, 88889098, 37424775, 53658556, 24766906, 61768408, 75852891, 23136344, 26556088, 143590005, 52984891, 73828439, 68613069, 7492623, 8702321, 19222845, 121744522, 177764311, 47946239, 15323433, 114793140, 32328827, 23271493, 79870237, 48659214, 24744437, 34374270, 63088965, 19570961, 63785001, 35164341, 39156272, 31533926, 143970678, 15506915, 116575331, 14236562, 4371, 14187457, 206474779, 6556908, 51565532, 49451183, 19332191, 67065931, 72932842, 12395676, 106499602, 96624939, 50354281 ], [ 1726541, 22733343, 75428941, 20870230, 26181084, 7829423, 157367015, 10728620, 93370358, 150264207, 27728662, 74243328, 84520594, 43984272, 32898826, 41794532, 35635354, 44778422, 190525426, 4509799, 49244084, 83754180, 16621108, 34088334, 15072477, 34974794, 22853199, 146124398, 36979083, 9811063, 24016066, 59527546, 34439437, 1422517, 53499027, 67828721, 85660278, 11574712, 23580742, 64448995, 5540999, 7658704, 12347474, 119511733, 87376626, 59059592, 42579567, 125324556, 279316400, 38486895, 27794976, 20481205, 45328380, 24471481, 26624547, 13802806, 92787255, 100960322, 45390816, 1753138, 47814554, 163526627, 11447161, 66721843, 172392454, 137077539, 76048329, 57702952, 13911521, 11128502, 52391174, 39782836, 26179740, 118429636, 20588532, 28364330, 22454303, 25369199, 86817802, 26225179, 201597756, 155221581, 23898966, 94155543, 83700764, 23136344, 26556088, 143590005, 74453127, 73828439, 68035297, 15009360, 77572742, 7968303, 61536432, 137630862, 9904138, 29298559, 16918100, 30702354, 1127885, 19536936, 64410245, 2842731, 108013928, 10148911, 160122026, 16800593, 35164341, 39156272, 31533926, 63579621, 69963747, 10652167, 54283146, 4371, 34600767, 33387298, 24346444, 18949415, 15166187, 37227739, 61771202, 41250130, 14529771, 166270172, 103252204, 50066590 ], [ 37173642, 125675362, 26399766, 88127156, 136245013, 7829423, 87399155, 54990811, 55039002, 16677736, 33741451, 11452889, 52585486, 177384777, 57273016, 73071748, 22773862, 61994848, 21654249, 21641970, 17088587, 46042705, 40985255, 34088334, 4836413, 91073766, 159337546, 985564, 33120409, 4468365, 44270536, 30479417, 7854134, 528225, 8815710, 145236043, 85660278, 1614316, 68733678, 9951039, 56845272, 39668587, 46105499, 24447404, 213172367, 5564078, 96064311, 17228063, 7617318, 32398141, 26014536, 6671476, 66086642, 67955405, 34066122, 86751626, 65045288, 28179810, 14648640, 121296858, 35213388, 119049155, 2759168, 48164330, 94522658, 984965, 58635147, 8586489, 26803841, 11128502, 72619058, 75358170, 4377831, 37914748, 20588532, 51136416, 48982349, 21076761, 48237347, 27824878, 96215270, 29198634, 85718305, 61768408, 8841244, 23136344, 61441404, 84367075, 52984891, 62593608, 68613069, 7492623, 120418407, 19222845, 64264847, 129491509, 44075414, 43573138, 18524312, 32328827, 23271493, 147084362, 37542637, 24744437, 26355962, 65036970, 1030147, 54176145, 32630294, 39156272, 33699125, 20828042, 34900327, 6531870, 39972636, 77874438, 14187457, 97631886, 162226585, 66158273, 49451183, 76350134, 29551890, 12121716, 14529771, 20558001, 33560528, 4334444 ], [ 24568957, 17932592, 91521943, 22700031, 25457154, 7829423, 40798206, 8946207, 31558631, 71013518, 119367130, 74243328, 2992861, 79046091, 95009245, 5737337, 40855158, 44778422, 254034452, 60783830, 155369916, 17955149, 16621108, 34088334, 7184443, 42722652, 54092287, 46274253, 67213595, 6555506, 17851763, 60324950, 37924836, 1422517, 3490944, 154924564, 97511149, 15739239, 52462979, 10679662, 18124821, 39668587, 83468921, 17925071, 7150152, 5564078, 81676722, 72087043, 26619595, 85786520, 26014536, 7980156, 43726618, 13554292, 26624547, 86751626, 69399563, 182765512, 44920974, 149653581, 43117440, 24643627, 11447161, 15008321, 42556680, 145111827, 110304335, 20876282, 16242110, 11128502, 186797622, 163134051, 2585693, 70945727, 93962733, 116247650, 48982349, 21076761, 202824160, 26225179, 81887076, 6306853, 70940413, 90545516, 8841244, 23136344, 32312309, 34766411, 47087107, 10208794, 95172109, 25603422, 64105129, 19222845, 107740441, 23009163, 9898363, 43573138, 3522355, 30702354, 77385204, 17901753, 20159442, 153698641, 29603894, 115582686, 2331077, 63785001, 22221688, 74875890, 31533926, 18245555, 107102439, 54058096, 50989091, 57864144, 51958346, 30172925, 56693518, 20039741, 10094996, 37227739, 37426293, 76150892, 177942624, 56493094, 59543859, 108530078 ], [ 147801942, 57684940, 91521943, 49501456, 25910147, 7829423, 75869350, 130453420, 47429823, 71013518, 4739796, 69290068, 71615469, 203329496, 173696758, 52926680, 3490629, 118754552, 33323390, 193087763, 48046939, 142843678, 48133062, 34088334, 21710163, 47168326, 11590933, 266029626, 998259, 9811063, 36342808, 248998811, 85984868, 49201865, 9919743, 142340169, 140274632, 132392726, 20088130, 128906744, 50211574, 217301566, 95628573, 55765748, 29023267, 142054392, 1943511, 145062040, 154823277, 60223950, 35914084, 65688832, 28551907, 1826226, 17366602, 13802806, 79360806, 16416196, 14648640, 40295273, 287563923, 16644275, 82451291, 23951579, 212274550, 114734156, 69562943, 40333628, 17313515, 11128502, 92228317, 6038789, 26179740, 171122542, 8301896, 107155881, 8514674, 17656019, 37829012, 108979105, 7296316, 10158467, 12545425, 12280648, 130605852, 15577779, 32393267, 23820794, 223189329, 40672145, 64244825, 7492623, 90219291, 19222845, 97838497, 44916132, 36540917, 43573138, 34881830, 182753113, 115905528, 22447868, 64410245, 46975680, 5910747, 246766272, 40607043, 63845085, 24370742, 159429464, 92768751, 36924670, 108892514, 101871907, 63901679, 77874438, 14187457, 49855642, 24346444, 94962878, 10094996, 67476139, 43823009, 22954088, 167620536, 86728952, 101640432, 29288678 ], [ 24568957, 75324996, 16012656, 68786783, 29721264, 19122126, 81223123, 10728620, 47429823, 43240855, 42522121, 58141178, 56211229, 89622399, 42072683, 209759964, 148249129, 45826829, 5312691, 56392526, 29984501, 66008985, 11357911, 34088334, 15072477, 47168326, 44716106, 45836892, 85673659, 21147669, 71994358, 9423297, 18658119, 19490018, 130064242, 52232264, 135247540, 100627219, 12969820, 26723723, 11142073, 556136, 17055804, 52687771, 133202078, 5564078, 8461325, 5528881, 39126274, 12991098, 26014536, 10030682, 85872976, 67955405, 115547, 86751626, 18247964, 6045037, 14648640, 142015545, 93101786, 150197605, 33395442, 7969807, 32978119, 56082381, 70750936, 12512447, 94420609, 9668529, 22704879, 104722467, 43998752, 12467909, 18865190, 8729302, 45902749, 90102240, 19353368, 26225179, 32213865, 48006655, 24766906, 41620171, 8841244, 23136344, 51837156, 54086590, 33113321, 73828439, 28854300, 177737706, 77572742, 19222845, 15727200, 177986462, 67645718, 43573138, 58607856, 116978336, 192373683, 6227883, 64410245, 33373381, 29603894, 42055225, 146392488, 9425064, 95185327, 39156272, 8198026, 116774083, 34900327, 43063108, 32622210, 37495361, 2396252, 135279616, 5548202, 14041590, 32182005, 36553509, 1215231, 10815772, 208043842, 36093473, 33579362, 31176783 ], [ 36165227, 83328899, 60354414, 18279623, 25910147, 7829423, 174061410, 130453420, 16075267, 1520682, 38036421, 74243328, 12314644, 207228724, 57273016, 21736456, 7619152, 5114422, 16111413, 15163429, 29356258, 104300478, 45578680, 1223480, 21710163, 34974794, 9823384, 183198059, 36979083, 9811063, 80625768, 173890511, 113865684, 87829367, 62623214, 12567561, 140274632, 56484265, 37541887, 179805155, 80767691, 2773856, 6687197, 124972417, 57221722, 54717488, 36206101, 17972909, 189799368, 250039284, 256151, 31033888, 111175371, 28922729, 74241463, 13802806, 48212736, 8221730, 14648640, 16694518, 186962279, 163526627, 44960964, 48164330, 758187, 114734156, 117692617, 12512447, 163030879, 11128502, 65080746, 6038789, 26179740, 28358421, 33384915, 10830923, 71512655, 150371670, 10845223, 108979105, 45404420, 77577250, 24766906, 94155543, 7835358, 23136344, 119891652, 63061736, 12375415, 68004229, 13926909, 37974407, 2224546, 19222845, 15727200, 89590566, 76613796, 15323433, 93648340, 3962925, 14369341, 22447868, 64410245, 2842731, 18629613, 59792359, 38484741, 1634069, 45380486, 26274145, 327614051, 28438216, 34900327, 58672491, 53975140, 60108045, 2396252, 42956965, 24346444, 989728, 1855539, 22604844, 49110469, 12797032, 16655760, 13483105, 57156642, 81159617 ], [ 47394511, 22529708, 40672129, 18895089, 136245013, 29132584, 9932328, 37661840, 47429823, 16677736, 113010255, 74243328, 12314644, 32053883, 23331017, 93234756, 34670150, 172427112, 100770529, 23242567, 17088587, 57899680, 29084922, 91592187, 4836413, 47168326, 10281903, 160615832, 4139590, 21147669, 50069238, 94730687, 92606605, 75366654, 9919743, 60004602, 59625208, 27492701, 37541887, 36700884, 108687630, 10793427, 48059919, 124972417, 123016583, 54717488, 22487531, 87623488, 58222733, 115243996, 14596797, 10030682, 66086642, 28922729, 74241463, 29246001, 68822773, 6044690, 14648640, 83536782, 67373874, 157470458, 44960964, 27329795, 28367226, 23458859, 98447598, 11729070, 7445093, 8937545, 94593666, 152227610, 42831880, 44402186, 33654576, 11067886, 39663821, 87277172, 10845223, 19249411, 49030490, 28654178, 24766906, 42415447, 269613464, 23974405, 9056237, 31119637, 39498949, 32243917, 377195888, 7492623, 82716240, 2764732, 31335309, 88201049, 113461032, 20082573, 26411500, 3962925, 5299018, 28210224, 64410245, 54031989, 52123595, 77292357, 31524604, 17494046, 35164341, 101462419, 43644912, 70875298, 108328295, 16034825, 145281335, 2351120, 13807998, 107093154, 43538294, 27165719, 32182005, 20750769, 101441190, 35781802, 57667367, 21819546, 54663602, 35468682 ], [ 63235793, 75324996, 27156500, 96597209, 136245013, 7829423, 81223123, 37661840, 184915889, 98289761, 42522121, 74243328, 12314644, 277335885, 57273016, 171573114, 3283345, 105028294, 5312691, 30087388, 29984501, 57899680, 29084922, 34088334, 71670348, 10406872, 30126758, 267794679, 4139590, 21147669, 151768208, 178757950, 92606605, 241643792, 9919743, 34135266, 238706727, 277242787, 12969820, 130784995, 92344462, 10793427, 48059919, 85608530, 123016583, 54717488, 191320393, 30898170, 60031440, 32138873, 26014536, 152410674, 28551907, 36198481, 98129014, 557991, 68822773, 46697041, 68596427, 41044509, 154455847, 48287149, 33395442, 250512960, 388296091, 152204219, 98447598, 77443276, 7445093, 11128502, 7991766, 115550342, 48351787, 44402186, 8301896, 11067886, 8514674, 17656019, 19353368, 19249411, 7296316, 80823857, 35379814, 152145799, 12184028, 23136344, 64716202, 27058796, 151560351, 32243917, 64244825, 7492623, 191273026, 19222845, 79091183, 5229812, 98189046, 20082573, 93648340, 47319598, 12906696, 96297016, 64410245, 264256704, 52123595, 42055225, 46887196, 17494046, 35164341, 94194490, 13422087, 35704125, 108892514, 16034825, 192461523, 45667565, 24807458, 67486006, 39902837, 83135938, 32182005, 55822041, 97489138, 78707398, 62547840, 180160424, 10867020, 23600724 ], [ 24568957, 85817567, 20551867, 20870230, 25910147, 42600000, 40798206, 144050571, 93370358, 71013518, 113676214, 58141178, 22320122, 118060902, 53878975, 97040366, 3283345, 58008113, 36161704, 23242567, 39815889, 46042705, 54507159, 68051418, 15072477, 23604150, 10281903, 63918812, 67213595, 21147669, 9903731, 94146601, 130629805, 24873514, 7603521, 46329521, 65904613, 52916695, 86884185, 26723723, 36108440, 39668587, 16118041, 124972417, 24402478, 92351316, 22487531, 76628932, 27658597, 83200726, 26014536, 20481205, 85872976, 21139736, 98129014, 86751626, 26339179, 38845634, 148700907, 82513676, 68185028, 24643627, 26754289, 4081438, 109520349, 23458859, 31754918, 11729070, 7445093, 8937545, 105672061, 241298989, 36268364, 97447020, 20588532, 29962433, 300302062, 87277172, 19353368, 23540865, 18620575, 33612121, 41568497, 136339082, 55923870, 187717116, 71541590, 31119637, 52984891, 73828439, 1514068, 7492623, 8702321, 19222845, 8190830, 5229812, 105547168, 6371671, 110766261, 32328827, 12906696, 6227883, 26338059, 96206678, 18629613, 84895416, 31524604, 6373325, 11261624, 94194490, 43458299, 70875298, 34900327, 56776224, 240354627, 4371, 24807458, 9219250, 39902837, 989728, 10094996, 54314133, 96947080, 75116182, 106760522, 2660701, 57156642, 12655662 ], [ 14107149, 13262061, 91521943, 73188602, 47944958, 88044602, 32591706, 10728620, 47429823, 145491054, 119367130, 17470031, 32547865, 43984272, 57273016, 834321, 10545885, 64988882, 4219070, 23242567, 29984501, 46042705, 50223111, 34088334, 15072477, 32464945, 1271261, 14437625, 39718218, 21147669, 145809542, 48525486, 67136954, 130304158, 9845433, 45574469, 110448611, 123171468, 23580742, 64448995, 111039082, 39668587, 84751845, 48587442, 175894175, 805855, 46963576, 112003318, 22131716, 33952486, 26014536, 35578335, 105766750, 49755262, 46812620, 10654555, 18247964, 6044690, 14648640, 19208293, 90893958, 49707186, 33395442, 12293544, 28367226, 22760393, 90060050, 24440181, 156465277, 11128502, 22704879, 28456871, 43998752, 20486681, 55101405, 51136416, 687837, 25369199, 95255415, 26225179, 25966030, 73455007, 24766906, 45077948, 48897944, 23136344, 43201370, 119886606, 52984891, 73712830, 194892370, 7492623, 23401976, 19222845, 55887444, 129568322, 47946239, 43573138, 8006431, 8228530, 83571310, 79870237, 22173503, 88710090, 63925694, 112277713, 62367257, 43313435, 43070149, 39156272, 19506101, 12332892, 52899430, 74264414, 22945610, 9524705, 14187457, 9219250, 146705618, 5936649, 7805551, 46321146, 42386113, 64906958, 91396856, 98177123, 39011870, 85256169 ], [ 48319627, 73957937, 68052317, 117514230, 32419724, 117181016, 76525568, 33762901, 47429823, 16677736, 42522121, 39101763, 162302188, 75666424, 57273016, 24380805, 36090254, 39329147, 5312691, 91072366, 29984501, 18708315, 28319701, 30265834, 21710163, 47168326, 52163004, 41570235, 4139590, 21147669, 90105736, 80237950, 71562690, 86439671, 22427269, 22598478, 15642631, 90589342, 54258616, 92552871, 11142073, 16977445, 31658295, 124972417, 141293504, 5564078, 46963576, 33027000, 212705378, 52133795, 26014536, 86665551, 45328380, 19460286, 25163821, 10654555, 34527068, 40457381, 14648640, 31897130, 1694724, 97685580, 33395442, 23951579, 57185837, 23458859, 19641243, 1110301, 9796347, 11128502, 86699574, 104722467, 139733816, 32501669, 20588532, 170938274, 48982349, 60489025, 95255415, 19249411, 76332171, 73687257, 24766906, 45077948, 8841244, 23974405, 131190754, 13271451, 30838529, 148005474, 67436219, 11753962, 23401976, 19222845, 79091183, 44916132, 44055985, 43573138, 220643623, 29788284, 248177336, 79870237, 22173503, 114835017, 108013928, 10148911, 67413215, 84200787, 35164341, 20602581, 253232986, 36141624, 58394980, 13069568, 162901039, 53110477, 14187457, 7544669, 79851375, 4742096, 7805551, 56318786, 27253936, 35781802, 87511908, 86728952, 39011870, 104490298 ], [ 50473785, 47247904, 40672129, 174577205, 18815593, 7829423, 5481880, 70932709, 47429823, 178416372, 42522121, 28429720, 71615469, 75666424, 57273016, 104520624, 28938907, 75797835, 5312691, 30129492, 29984501, 99561417, 54507159, 1550524, 189287216, 14144875, 65650220, 164910363, 4139590, 21147669, 41345711, 37980700, 113865684, 3631305, 9919743, 22598478, 8639116, 90589342, 27158700, 49588790, 15293167, 21288678, 6687197, 124972417, 69943636, 8738751, 46963576, 88607434, 58222733, 85786520, 26014536, 10030682, 11029384, 41269346, 74241463, 92127180, 179471924, 66324518, 14648640, 72835765, 275750085, 97685580, 10055390, 36769191, 180005608, 152204219, 25430061, 49338981, 111536318, 11128502, 277358222, 2579604, 104330210, 60270550, 142869674, 29962433, 142157452, 190597123, 22066305, 19249411, 77230410, 7133458, 24766906, 152145799, 12184028, 23136344, 38520287, 143590005, 16187715, 40672145, 1357031, 7492623, 1183835, 19222845, 16748554, 141875621, 49803073, 43573138, 174139844, 85743085, 112673462, 28210224, 64410245, 38917360, 19690792, 42055225, 33178409, 1634069, 267031107, 32906236, 26595740, 24483515, 27328226, 182218652, 79345660, 37966319, 14187457, 92925563, 69602960, 51565532, 43942944, 67476139, 142662399, 49524043, 87391458, 142619239, 54663602, 44414788 ], [ 50473785, 83328899, 14159049, 28226471, 12254903, 42561139, 59132993, 130453420, 71474924, 56812933, 111594686, 40028156, 1954083, 231743781, 23609316, 69899350, 148249129, 44778422, 21654249, 138673085, 29984501, 75418855, 54507159, 34088334, 15072477, 14229681, 38815632, 240941818, 4139590, 395870, 39104559, 62884607, 130629805, 63002950, 9919743, 51382419, 85660278, 56882824, 28977321, 76295408, 24602149, 19994467, 98787651, 124972417, 89545368, 149216992, 119837831, 145062040, 58222733, 12253350, 26014536, 10030682, 48107050, 24508359, 19552087, 13802806, 75458823, 59393423, 11163758, 259800222, 3042389, 163526627, 10055390, 48164330, 60491394, 137077539, 131606927, 49338981, 111536318, 11128502, 140177897, 92933241, 26179740, 60270550, 20588532, 10965644, 371904239, 31532024, 24397799, 19249411, 1842598, 629887, 54757914, 52532089, 77984922, 23136344, 16047247, 122578221, 86223354, 73828439, 8403455, 7492623, 108458542, 23028410, 190832506, 40722971, 9904138, 43573138, 147333563, 30702354, 232190996, 22153127, 64410245, 28107, 51408379, 117070007, 119128430, 167125237, 35164341, 279748949, 43458299, 152283894, 34900327, 87642278, 64656965, 29478729, 14187457, 134045925, 24346444, 41283622, 53923074, 67476139, 27074101, 78707398, 127778075, 43318094, 31793882, 82023210 ], [ 60250022, 22045300, 31520515, 3022990, 89648487, 88259316, 108092179, 92093921, 25044537, 150264207, 7569374, 17470031, 8799657, 65118564, 57273016, 97797313, 40855158, 1320109, 136410397, 28941804, 36346274, 18708315, 54507159, 34088334, 21710163, 46559750, 26468430, 46274253, 4139590, 9811063, 90105736, 4276608, 116791573, 253706354, 98151044, 22598478, 30261876, 36281025, 71011721, 36080140, 188043164, 7658704, 44917752, 73130934, 7150152, 10151165, 212654868, 33027000, 38257257, 52133795, 26014536, 1940387, 102539336, 2896371, 75270032, 10654555, 62931609, 7865970, 14648640, 34442368, 64474081, 51921857, 41986074, 48164330, 82787242, 137077539, 64082664, 20876282, 114870372, 11128502, 123867353, 104363341, 26179740, 20330484, 14712411, 78124640, 323759407, 60489025, 39776867, 19249411, 76332171, 53693860, 2809960, 94155543, 48897944, 3362640, 135312207, 34766411, 16187715, 73828439, 25901517, 71502340, 9549586, 19222845, 47641574, 17551607, 9904138, 43573138, 8006431, 30702354, 1386162, 22447868, 22173503, 2842731, 165357810, 52699791, 160122026, 108539449, 35164341, 4954867, 18774204, 96419578, 82008677, 15844133, 50198867, 56872027, 14187457, 21948088, 24346444, 11520981, 7805551, 36710842, 81708627, 78707398, 674960, 31595654, 54663602, 80632968 ], [ 90954, 67573855, 761466, 36890775, 13188584, 28097237, 13110491, 30157976, 37381873, 34913841, 148654513, 74243328, 71615469, 75666424, 61659256, 24380805, 12103924, 95554627, 67004930, 28941804, 29984501, 18708315, 48133062, 34088334, 98396444, 43176167, 212983963, 29390124, 10837950, 21147669, 182484876, 143562791, 38842286, 166441361, 9919743, 22598478, 85660278, 15739239, 154271471, 132617706, 82310925, 39668587, 53343239, 124972417, 41919524, 160633157, 191320393, 145062040, 130014596, 97538685, 50308721, 25614619, 94236926, 28922729, 98129014, 22274848, 179471924, 40667991, 68029201, 186875839, 6301094, 112378593, 12729826, 72803949, 28099212, 22613315, 64082664, 3498867, 136411829, 11128502, 80954435, 137989393, 7862580, 27358467, 20588532, 155623070, 108243277, 36564773, 31732042, 167507113, 76332171, 629887, 54757914, 26791723, 6525405, 23136344, 82596751, 1804505, 35901352, 68646319, 1325224, 7492623, 62103812, 19222845, 87108654, 14346587, 44055985, 43573138, 65042441, 3962925, 178240677, 79870237, 64410245, 20191148, 3742604, 16293796, 7934829, 98025557, 35164341, 137293499, 73411874, 152283894, 15506915, 86716997, 88097775, 38737065, 23438813, 21948088, 84983974, 27165719, 9310468, 19352194, 85358323, 78707398, 22161406, 36465534, 10781558, 59304269 ], [ 48319627, 10130545, 91521943, 311917730, 25910147, 7829423, 98795131, 79457123, 28791162, 104025212, 42522121, 58519521, 71615469, 204826330, 387719831, 24380805, 67600540, 58008113, 5312691, 40620308, 189907248, 46042705, 48133062, 40505390, 302913087, 43176167, 52163004, 8874972, 4139590, 21147669, 122804278, 80237950, 71562690, 58768338, 9919743, 97898242, 7904856, 178392615, 163467739, 348047030, 122282160, 39668587, 66145189, 36360560, 251577404, 49281557, 110600280, 72900947, 102949115, 78176807, 292869603, 87331021, 29748320, 49539256, 47110452, 29629811, 165745544, 118294446, 14648640, 34069127, 247052010, 40961114, 38504136, 48164330, 25872681, 51402350, 122546032, 287071428, 36603489, 86828267, 22704879, 6038789, 7862580, 48118407, 20588532, 116247650, 326696882, 4232416, 95255415, 438602, 85817213, 124271638, 72601746, 26791723, 12184028, 23974405, 19628081, 13271451, 52984891, 73828439, 1325224, 7492623, 186248116, 257779803, 79091183, 65146730, 113461032, 43184542, 110766261, 32328827, 63874339, 94989393, 72904447, 182947538, 18629613, 42055225, 67413215, 58570577, 118933817, 106480984, 410357809, 19797370, 72523876, 316286092, 22994237, 37150079, 14187457, 35768462, 154833847, 11520981, 103526719, 76350134, 17832662, 148426627, 134096834, 25318629, 54663602, 82023210 ], [ 14107149, 36814213, 91521943, 149172841, 33277103, 7829423, 53790246, 69191519, 11338106, 111941412, 68735410, 74243328, 71615469, 12903778, 22271263, 21736456, 31779127, 72198718, 34562533, 138673085, 29984501, 18708315, 54507159, 26502397, 101437440, 47168326, 9823384, 8874972, 4139590, 9811063, 145809542, 247786119, 92420806, 85189789, 9919743, 15893949, 85660278, 28094698, 44363295, 33275532, 10136981, 59172957, 53343239, 52801849, 20514030, 46774761, 46963576, 124994686, 31401979, 190880091, 26014536, 35578335, 62071123, 42504922, 39497892, 13802806, 21636417, 58923379, 14648640, 137221978, 48147492, 49707186, 33395442, 21942070, 182426206, 23458859, 62195456, 20876282, 77739796, 11128502, 62614567, 208926169, 1111306, 6787830, 20588532, 58126702, 142157452, 60489025, 10845223, 19249411, 8827618, 5391178, 24766906, 11178725, 43412957, 23136344, 114441038, 143590005, 37621396, 61810411, 1325224, 7492623, 6532860, 19222845, 131697136, 64993715, 113461032, 7294372, 34881830, 81208466, 61104428, 2824162, 33633088, 81962465, 62700825, 41375802, 75748660, 64084472, 35164341, 52889152, 8770051, 55852104, 108892514, 239860634, 81252579, 9524705, 14187457, 21948088, 24346444, 83135938, 32182005, 11440452, 42386113, 30294394, 38849890, 15109991, 40871251, 8385885 ], [ 8190721, 32986793, 91521943, 53684186, 108732862, 48019938, 182108133, 5290861, 65736307, 71013518, 113396741, 143285178, 385616, 11705627, 49382248, 39070086, 123300023, 322410598, 22830762, 103458912, 31718887, 5351624, 32609310, 34088334, 21710163, 8118155, 17558543, 94141752, 4139590, 9811063, 7996984, 88662401, 40279073, 91141172, 130064242, 31685849, 204818229, 97355693, 86884185, 36700884, 29513133, 86664113, 83889840, 54319235, 19065106, 72572579, 28285160, 5528881, 79187697, 60375679, 2048361, 87331021, 35318753, 18544049, 156207902, 10654555, 78518284, 13660672, 14648640, 24109732, 18475382, 52232609, 19574660, 48164330, 232432162, 8767110, 131606927, 116873020, 290878, 83448209, 110731659, 44171950, 26179740, 36141305, 208517137, 94579031, 234830334, 83060934, 86085955, 19249411, 26030682, 23484188, 93224471, 24216855, 16567704, 23136344, 25349072, 1804505, 36523646, 73828439, 19715812, 194630, 108540356, 19222845, 43791318, 5229812, 16990973, 43573138, 76660631, 156512225, 99357158, 17114951, 19264717, 28666453, 12058456, 134518649, 144230593, 212843332, 7607247, 94194490, 63114476, 126987421, 93898343, 194919342, 15882741, 10468414, 14187457, 107331995, 16156968, 22717768, 5283439, 148161350, 420767703, 53724679, 179894403, 110288670, 54663602, 28598678 ], [ 8190721, 250446478, 71325414, 23371577, 108521054, 7829423, 3430408, 141902902, 93027429, 36556484, 102404427, 74243328, 4691642, 13920403, 145844599, 39070086, 50420858, 69607594, 188559672, 56392526, 186984037, 5351624, 54507159, 13401938, 101437440, 54941078, 253667504, 46274253, 4139590, 21147669, 7996984, 12728515, 47875598, 170955750, 9919743, 107832548, 85660278, 2755128, 15310676, 41096466, 11142073, 67264045, 98787651, 744442, 48582506, 77648974, 61854970, 82593977, 114210311, 116133034, 2048361, 72247099, 161036725, 21778984, 85706118, 34775875, 179471924, 19744491, 66967279, 95374567, 64474081, 186794394, 162581792, 17279737, 167665756, 8767110, 110304335, 20876282, 290878, 11128502, 22704879, 57092899, 43998752, 60270550, 20588532, 103990520, 39107390, 176216109, 169109617, 19249411, 276712161, 23484188, 105240896, 233629753, 123332318, 59543504, 25349072, 143590005, 159110604, 119502292, 334230655, 7492623, 117708009, 19222845, 171302980, 5229812, 113461032, 12123796, 220643623, 97615777, 214604120, 144652933, 48659214, 15381447, 165357810, 345776709, 144230593, 155126712, 35164341, 94194490, 227738441, 87401284, 108892514, 100098857, 4908747, 77874438, 118035811, 2374125, 39902837, 14840353, 26725647, 76350134, 85358323, 78707398, 97987349, 224365826, 54663602, 158189237 ], [ 8190721, 25627318, 113505080, 136865254, 125013236, 38081745, 182108133, 5290861, 40835386, 90094578, 11836062, 10829546, 53677062, 77612745, 7507939, 127406295, 62333618, 34249401, 51287163, 205544598, 258815889, 5351624, 54507159, 17249292, 284691832, 47168326, 202725313, 39720231, 4139590, 9811063, 7996984, 48525486, 130629805, 91141172, 61905387, 87117737, 140274632, 90589342, 189728260, 77947212, 11142073, 255237266, 49905013, 53333722, 24652354, 181581527, 46963576, 82593977, 93839720, 3148641, 2048361, 14484371, 57347725, 67955405, 74241463, 13802806, 87662223, 71019915, 14648640, 53840424, 13446074, 52232609, 162581792, 48164330, 78762532, 6975885, 391769365, 3446680, 290878, 297420694, 3741901, 56259894, 26179740, 36141305, 180962970, 39739330, 106951884, 71500726, 71669074, 19249411, 158750746, 23484188, 24766906, 242973686, 64355996, 23136344, 25349072, 143590005, 30838529, 73828439, 47753570, 194630, 335540023, 19222845, 129602095, 5229812, 9904138, 43573138, 228022515, 30702354, 194687052, 22447868, 56037402, 114835017, 83503572, 150049881, 2402960, 131335163, 35164341, 63829230, 63114476, 43746351, 130058598, 194919342, 39482815, 1662263, 14187457, 108381644, 24346444, 22717768, 3341621, 138158692, 7194354, 78707398, 57798446, 110288670, 54663602, 173008887 ], [ 161162372, 97085922, 91521943, 6097125, 136245013, 7829423, 157367015, 79849891, 291194703, 487284379, 94386302, 69354034, 19088218, 76246576, 45166445, 371453696, 18518610, 44778422, 18630610, 138673085, 155369916, 60954230, 54507159, 16439853, 8151623, 2475601, 311684793, 41914876, 4139590, 21147669, 175702266, 4695596, 4405929, 19490018, 130064242, 18914570, 85660278, 206894540, 105893911, 69889201, 75715173, 16912300, 196147070, 116247633, 79270622, 181581527, 4572319, 113887543, 68677309, 85786520, 26014536, 87331021, 12789386, 21139736, 98129014, 86751626, 75770217, 41670839, 95386526, 6610976, 19428822, 163526627, 38610750, 15008321, 4695700, 108437190, 33707829, 2672881, 50326426, 11128502, 1927362, 104722467, 104330210, 12467909, 20588532, 116247650, 26633138, 8687687, 24397799, 19249411, 283824684, 41804734, 43298155, 85673388, 179762713, 155174923, 93479302, 53300750, 11551154, 73828439, 28543531, 191477735, 51109713, 19222845, 15727200, 114571017, 9904138, 43573138, 182744868, 30702354, 51014942, 79870237, 21249530, 149152226, 165357810, 60881301, 146392488, 14415215, 105225237, 180908149, 31533926, 11400640, 12638436, 41110889, 40424233, 27968347, 142519476, 21406575, 21806760, 33024985, 15494622, 54314133, 6464083, 85565421, 208043842, 13893086, 54663602, 1406978 ], [ 189255027, 6855765, 20675186, 6097125, 136245013, 7829423, 81223123, 71961339, 11338106, 336774891, 111594686, 74243328, 71615469, 19170202, 57273016, 206620174, 76141940, 148363555, 30352729, 131129715, 29984501, 88262117, 54507159, 29905141, 15072477, 2475601, 16674892, 31043805, 34774265, 21147669, 32318278, 30479417, 50919126, 19490018, 9919743, 31685849, 140274632, 239543388, 39196081, 26723723, 36108440, 59215851, 98787651, 124972417, 86542737, 8738751, 46963576, 145062040, 84387194, 89121664, 26014536, 36602426, 51243350, 28863318, 74241463, 86751626, 179471924, 117777734, 11163758, 3097970, 29711241, 91164240, 33395442, 15008321, 175622207, 48789712, 33707829, 116873020, 65801535, 11128502, 3837077, 104722467, 39876951, 12467909, 99607073, 76258876, 142157452, 91256681, 10845223, 14728659, 38633454, 48006655, 24766906, 45077948, 72416156, 23136344, 18630531, 119620429, 12328115, 15465939, 28854300, 7492623, 23401976, 3022564, 9662602, 5229812, 27308483, 43573138, 199293230, 118259672, 24852577, 176807439, 22173503, 260784597, 29603894, 35033547, 7125825, 63785001, 35164341, 48503409, 8198026, 30399646, 34900327, 194919342, 126226810, 37966319, 221657, 76183649, 39902837, 32762217, 7805551, 207669906, 6464083, 78707398, 81256842, 30465361, 39011870, 1406978 ], [ 189255027, 83328899, 20551867, 6097125, 33277103, 3682891, 34659325, 79849891, 35960875, 71013518, 94386302, 6534387, 34739738, 25332618, 57273016, 41196134, 20547808, 82178070, 18630610, 15163429, 29984501, 47070741, 54507159, 16439853, 21710163, 43176167, 32517967, 31043805, 34774265, 21147669, 9903731, 45632430, 54857412, 159798023, 9919743, 18914570, 59625208, 33221467, 50835184, 51746588, 91214635, 62464799, 49905013, 55995423, 16516395, 8738751, 4572319, 123516613, 53579710, 6138071, 5936216, 75926618, 161036725, 67955405, 20637887, 16754155, 55492492, 12460171, 14648640, 48091385, 74623089, 72327499, 33395442, 15008321, 20576790, 48789712, 2362378, 20876282, 26990795, 11128502, 1927362, 74900856, 1721996, 28730007, 20588532, 92559707, 39663821, 34125965, 11385675, 69512700, 91704959, 28654178, 5565114, 49229386, 87807899, 23136344, 71541590, 63061736, 12328115, 73828439, 119485024, 7492623, 8702321, 19222845, 24395870, 5232805, 242417855, 15323433, 65336054, 106002657, 123075091, 31767188, 64410245, 114835017, 124859301, 49975497, 215569246, 43313435, 11261624, 98398162, 31533926, 39506757, 1250663, 232424965, 157498963, 37966319, 14187457, 9219250, 74927492, 94962878, 10094996, 45650308, 81708627, 20314912, 76355897, 79148097, 8438163, 12655662 ], [ 155654907, 14445535, 79401595, 6097125, 45575426, 29709941, 81223123, 63283224, 15538033, 65059950, 119367130, 74243328, 715105, 113283619, 41806433, 197273123, 26733774, 65578693, 81372794, 29461190, 1641430, 47070741, 7097485, 34088334, 76044419, 43176167, 17558543, 31043805, 31058967, 21147669, 182484876, 30479417, 130629805, 18884057, 9919743, 184586280, 1550606, 111646838, 123466888, 35016182, 84540826, 68813508, 64193864, 11997696, 20220556, 21046154, 2262424, 50445778, 79187697, 290529511, 26014536, 1398878, 1262231, 67955405, 20637887, 10654555, 3325216, 7865970, 14648640, 43127622, 22719135, 163526627, 10055390, 6966118, 149049840, 28830461, 33707829, 11729070, 5653064, 8937545, 22704879, 348673570, 43998752, 12467909, 20588532, 17535400, 98027036, 97857801, 95255415, 108979105, 34174321, 19377587, 24766906, 49229386, 132605470, 23136344, 69424506, 21658095, 12328115, 15850384, 28854300, 7492623, 53375586, 19222845, 41533789, 95982930, 5674697, 43573138, 163430255, 145119889, 31953348, 23230623, 14817250, 132324476, 51408379, 78040724, 86169072, 43313435, 118933817, 98398162, 94478265, 122588228, 34900327, 42779730, 27405413, 9524705, 14187457, 9219250, 9618932, 94962878, 15494622, 76350134, 6464083, 226294482, 17231268, 166270172, 100861008, 132260427 ], [ 8644651, 2112392, 9024081, 6097125, 136245013, 38081745, 81223123, 10728620, 33504200, 113450913, 94386302, 34610107, 3570465, 43984272, 136478023, 4762947, 7619152, 44778422, 51287163, 56392526, 21941194, 88397266, 7097485, 71558825, 15072477, 43176167, 172065782, 2539870, 34774265, 9811063, 9903731, 30479417, 9244498, 19490018, 9919743, 36446164, 33331318, 158934522, 23580742, 6255184, 36108440, 47866319, 11857120, 70873402, 21192239, 6253966, 46963576, 59332556, 38244609, 26018692, 10508644, 35578335, 115826831, 28863318, 74241463, 10654555, 38983673, 41670839, 95386526, 94080798, 142036710, 53945050, 33395442, 74046888, 758187, 9399646, 33707829, 11729070, 94420609, 8937545, 22704879, 104722467, 26179740, 12467909, 18865190, 29962433, 142157452, 71500726, 19353368, 26225179, 126877984, 629887, 24766906, 11030137, 132605470, 40929425, 175526994, 103171910, 12328115, 73828439, 28854300, 7492623, 23401976, 19222845, 61548478, 5229812, 9904138, 43573138, 82813620, 9350717, 31953348, 22447868, 22173503, 128534004, 29603894, 5937249, 3085938, 260977622, 36746780, 29123636, 43458299, 133559574, 45877217, 29137452, 64547, 9524705, 205476541, 19100392, 24346444, 56530586, 7805551, 76350134, 6464083, 6815616, 100576982, 895863, 23279090, 12655662 ], [ 36165227, 65543923, 6486315, 6097125, 82165241, 7829423, 17837375, 79849891, 11338106, 46223677, 2460030, 28429720, 71615469, 10608818, 16039124, 42286843, 7619152, 44778422, 18630610, 52768553, 29984501, 47070741, 40985255, 34088334, 1461605, 2475601, 1324353, 13627799, 38990665, 1171913, 3901026, 25056992, 92420806, 14624460, 9520884, 100200947, 16406323, 21224022, 32765113, 42586211, 10896384, 95629138, 17055804, 70938584, 16516395, 37449118, 46963576, 5528881, 4712928, 26574046, 26014536, 48322024, 43346424, 67955405, 115547, 10654555, 48212736, 81727995, 14648640, 114168815, 64474081, 22328890, 33395442, 32744536, 758187, 23458859, 33707829, 20876282, 33644639, 11128502, 140177897, 104722467, 73522015, 12467909, 7064963, 40696534, 3875611, 10226322, 95255415, 27855775, 91704959, 6915208, 24766906, 14747030, 7835358, 23136344, 56209145, 54167031, 12328115, 80639857, 1357031, 7492623, 38355164, 19222845, 57599499, 5229812, 9904138, 43573138, 41613335, 26937213, 54551988, 47720734, 21893811, 15381447, 33631571, 59651797, 2331077, 11886572, 11261624, 94194490, 18271800, 71336515, 8928103, 9103766, 166005035, 37495361, 221657, 92925563, 39902837, 66158273, 15494622, 76350134, 6464083, 3030832, 92699488, 51706520, 1712931, 1406978 ], [ 60147918, 6855765, 91521943, 6097125, 33277103, 7829423, 81223123, 79849891, 11338106, 158892794, 119367130, 74243328, 84520594, 61896739, 57273016, 52548829, 28669790, 148363555, 18195948, 28941804, 29984501, 83754180, 54507159, 34088334, 21710163, 2475601, 224545812, 283889863, 4139590, 21147669, 90105736, 26632893, 92420806, 19490018, 12399126, 22598478, 78432435, 13555557, 240537181, 35959074, 85422202, 41411421, 16708721, 52181735, 239972320, 8738751, 166347001, 14928801, 116511475, 78224680, 26014536, 72386568, 45328380, 67955405, 17366602, 86751626, 17500540, 195371164, 17599771, 101681779, 64474081, 163526627, 33395442, 6921616, 21223115, 48789712, 7738788, 12512447, 94420609, 11128502, 58691418, 166194665, 104330210, 12467909, 9552508, 38454805, 338508159, 76926680, 141358747, 7071017, 283824684, 99339, 53163448, 46075800, 179762713, 23136344, 18630531, 143590005, 12328115, 73828439, 15063757, 56655312, 8702321, 19222845, 15727200, 5229812, 67645718, 15323433, 8006431, 39331384, 33603882, 132468685, 48659214, 239663702, 53036788, 10148911, 146392488, 21571738, 35164341, 48503409, 8198026, 344513851, 205580896, 183758344, 264439900, 37966319, 10765090, 134744943, 39902837, 51565532, 15494622, 173879840, 6464083, 78707398, 223441742, 137081667, 22186109, 8385885 ], [ 40147486, 73957937, 58499433, 6097125, 31610993, 7829423, 31305469, 2963064, 11338106, 662381, 10278007, 72038717, 3670534, 25332618, 55902428, 63370014, 26733774, 141256878, 5312691, 19695057, 29848094, 47070741, 7097485, 34088334, 10667137, 2475601, 17558543, 13627799, 11384301, 9811063, 3925518, 47393689, 23937603, 19490018, 9919743, 23589456, 16958417, 12330597, 66144161, 26723723, 5540999, 10259202, 88954935, 27009633, 56904375, 8738751, 23067259, 5528881, 4712928, 1622825, 26014536, 35578335, 1189561, 28863318, 3646078, 13495520, 65493454, 6044690, 8909090, 7096110, 61606123, 22328890, 33261372, 32744536, 10331396, 23458859, 26744550, 11729070, 40194446, 8937545, 56344673, 123903325, 26179740, 12467909, 136530774, 77334314, 54285072, 10226322, 19353368, 26225179, 98270946, 14924600, 24766906, 14747030, 604504, 23136344, 43319394, 34969278, 12328115, 73828439, 1382776, 7492623, 62183001, 7284989, 79091183, 5232805, 11867819, 21591284, 74024017, 13894074, 31953348, 22447868, 42410573, 28666453, 29603894, 42055225, 60575653, 10682196, 11261624, 254244743, 49678368, 152283894, 34900327, 128359442, 149147170, 9524705, 221657, 8529577, 24346444, 7574241, 15494622, 67476139, 6464083, 83662980, 101264092, 79148097, 8438163, 1406978 ], [ 24568957, 3592118, 43139594, 453750, 136245013, 7829423, 60256810, 130453420, 2427633, 106106570, 83939298, 74243328, 71615469, 75666424, 57273016, 7874648, 7619152, 69607594, 18630610, 77900533, 24332446, 71525139, 52292132, 16439853, 15072477, 47168326, 17558543, 46274253, 36199763, 1766680, 36342808, 22200566, 115734425, 33356123, 9919743, 18914570, 85660278, 55772382, 44476256, 36700884, 88913394, 19494935, 2448179, 33055601, 53513307, 72681927, 46963576, 5528881, 7617318, 78224680, 26014536, 93349057, 96358346, 67955405, 26888288, 10654555, 55492492, 36212370, 14648640, 43127622, 157537589, 119049155, 29733866, 21749483, 758187, 114734156, 7457762, 403912, 54509151, 11128502, 47738403, 6038789, 26179740, 83174504, 20588532, 73953910, 41548460, 97857801, 10845223, 2608190, 11279915, 6915208, 24766906, 89633290, 33774110, 23136344, 187569740, 102271220, 16187715, 11879887, 13438897, 7458528, 20286730, 19222845, 55887444, 25322995, 47946239, 43573138, 8006431, 67418016, 16659855, 22447868, 46753859, 33373381, 72897046, 108842310, 47583747, 2138066, 49930713, 29698350, 60361613, 152283894, 1250663, 119209676, 54283146, 7845512, 3207842, 1801766, 24346444, 51565532, 3506012, 52548562, 37426293, 62255495, 11770568, 4957152, 104040177, 96867189 ], [ 63235793, 22529708, 71874695, 43382058, 136245013, 7829423, 6773293, 23676124, 40642087, 68945242, 119367130, 51694365, 71615469, 17392156, 4724026, 39070086, 109053390, 1320109, 2213110, 16546424, 7083997, 145340171, 54507159, 231902586, 59079447, 43176167, 5719813, 8874972, 85673659, 21147669, 33422527, 152572608, 106694460, 75290812, 9919743, 22598478, 85660278, 23384493, 15401438, 59513108, 11142073, 85636933, 67042467, 40668440, 16371780, 2160723, 48821425, 101308571, 59439259, 90680245, 53272429, 27323113, 54612938, 87302496, 47110452, 29246001, 40323419, 41670839, 69114364, 149653581, 66163271, 22328890, 38504136, 9904441, 14845455, 74773151, 63764030, 58041279, 3260295, 11128502, 140177897, 104722467, 79637443, 85134339, 20588532, 34684881, 7730734, 3496511, 53937678, 49279826, 11279915, 44131413, 6244249, 14747030, 48737309, 78572852, 24386725, 57587902, 54614390, 35043102, 13438897, 5193768, 10076600, 19222845, 57599499, 65146730, 64460483, 43184542, 65795867, 26937213, 58017186, 79870237, 64410245, 71747420, 33631571, 84106757, 47583747, 234726095, 8923899, 27070144, 91787724, 152283894, 43620320, 202311497, 2255562, 6677067, 66228400, 17099876, 62131334, 51565532, 51613150, 765400, 35445373, 48347474, 36119483, 49757387, 105191662, 27318779 ], [ 274333149, 97085922, 14916627, 157120283, 72907818, 117181016, 174061410, 98963357, 15538033, 5647677, 75465297, 26364932, 1254571, 27289715, 55628023, 61101287, 36090254, 44778422, 18630610, 28941804, 24332446, 18910022, 54507159, 34088334, 21710163, 2475601, 26468430, 111161833, 85673659, 21147669, 162793550, 45632430, 102385594, 22596125, 13907380, 21693057, 85660278, 904925, 29682182, 156756905, 64125290, 7658704, 64193864, 27009633, 95918036, 10151165, 95192184, 51311583, 18581184, 31194521, 14169246, 46365396, 51243350, 13392175, 45027930, 10654555, 21583020, 67097214, 11163758, 28456691, 33041985, 56980432, 104240895, 16204944, 37868488, 8767110, 70797506, 11729070, 26803841, 8937545, 11743384, 25167378, 61210407, 73497410, 9308602, 46417862, 3875611, 4758745, 95255415, 31060584, 60918354, 33612121, 38964881, 36643845, 37918232, 23136344, 131190754, 13271451, 54614390, 56724625, 123914272, 168485592, 13167883, 7284989, 16678999, 5229812, 5674697, 9681702, 220780532, 30702354, 7541697, 68972933, 22173503, 2842731, 90687665, 10038066, 60575653, 17622828, 35164341, 94194490, 95156731, 107229203, 23004519, 6963200, 39972636, 57109939, 14187457, 135279616, 39902837, 21692115, 7805551, 39880734, 42882095, 78707398, 85833506, 74719192, 100861008, 1406978 ], [ 69130284, 3592118, 40672129, 157120283, 33277103, 7829423, 40798206, 237504888, 47429823, 124515762, 102516458, 74243328, 8799657, 118737292, 140862904, 105822610, 45960502, 44778422, 46850443, 15163429, 24332446, 283868730, 54507159, 13165614, 273761381, 3456715, 212496245, 75995835, 85673659, 21147669, 182484876, 17844472, 130629805, 167641190, 62623214, 23589456, 63154713, 167579607, 111586645, 26723723, 36108440, 7658704, 11857120, 3784682, 57221722, 160633157, 46963576, 53804030, 89261922, 85786520, 26014536, 10030682, 2149133, 28922729, 74241463, 86751626, 75770217, 7865970, 14648640, 219198880, 217010307, 163526627, 33395442, 48164330, 34247476, 152204219, 131606927, 12512447, 154041387, 11128502, 22704879, 291568574, 43998752, 85134339, 33384915, 41768460, 142157452, 71500726, 10845223, 102085800, 63222764, 73455007, 8921635, 68170389, 140798236, 23136344, 131833466, 63061736, 109102264, 73828439, 1382776, 113424647, 8702321, 19222845, 15727200, 5229812, 9904138, 15323433, 238594416, 3962925, 138193814, 127806360, 54042815, 2842731, 29603894, 60881301, 751071, 21571738, 45380486, 94194490, 31533926, 133559574, 34900327, 194919342, 155448967, 9524705, 14187457, 9219250, 39902837, 227634995, 152954922, 80274161, 42386113, 322399249, 208945250, 166270172, 100861008, 62598759 ], [ 24175356, 97085922, 9024081, 25456909, 78218248, 7829423, 47222934, 130453420, 11338106, 317431470, 10278007, 6534387, 8799657, 63070458, 87893983, 29636511, 3205874, 1320109, 18630610, 30519597, 20524941, 18055061, 1219650, 34088334, 69306876, 43176167, 113372707, 5432891, 36979083, 9811063, 65667250, 9423297, 1349237, 90961544, 12057222, 54182733, 85660278, 88427717, 39196081, 194479144, 78523311, 1836028, 64193864, 93323456, 39853586, 10151165, 76710879, 2477675, 29340647, 85786520, 26014536, 10030682, 78601186, 21139736, 26888288, 10654555, 24442330, 7865970, 14648640, 63263822, 294334861, 51804664, 166247101, 15008321, 4695700, 60613819, 2362378, 9662065, 72317122, 11128502, 3837077, 49127654, 2585693, 18656646, 20588532, 3347983, 38930844, 66061562, 76316761, 8157828, 11279915, 44235816, 63745178, 140116245, 48737309, 23136344, 6116429, 69590585, 54614390, 73828439, 119485024, 67855277, 4858739, 19222845, 57599499, 5232805, 63753642, 43573138, 114793140, 9350717, 25951523, 18668538, 22173503, 71747420, 19451382, 35033547, 85449438, 60668067, 68446203, 49044164, 14870913, 18245555, 1957091, 23048235, 10655837, 31818116, 2226425, 176970714, 24346444, 7707426, 7805551, 45650308, 13234703, 12797032, 11770568, 4957152, 100861008, 8385885 ], [ 36165227, 10437978, 113505080, 152706621, 136245013, 7292552, 99732239, 306660385, 369800406, 208557415, 66907328, 52472405, 40597288, 59370111, 41806433, 303618571, 7619152, 129040183, 6150042, 80262772, 24332446, 46042705, 54507159, 1223480, 124738967, 117016792, 16674892, 61359642, 34774265, 17771123, 32318278, 45632430, 130629805, 150857322, 9919743, 6019223, 66556052, 100440667, 39196081, 194479144, 21299119, 26317362, 30105930, 25814972, 239972320, 10151165, 97950163, 145062040, 150481908, 85786520, 26014536, 87331021, 149844787, 28863318, 98129014, 58746990, 48212736, 6044690, 13505037, 6610976, 35918504, 22328890, 91529355, 48164330, 758187, 8767110, 80665036, 187247203, 295460286, 11128502, 3837077, 73698525, 39876951, 28358421, 105449809, 95140858, 26633138, 90699893, 24397799, 217388253, 34120816, 83560842, 8921635, 14747030, 264405086, 23136344, 32068275, 68472145, 16318277, 17009186, 191962791, 7492623, 23401976, 6362173, 218188754, 5229812, 13451218, 43573138, 272014843, 32328827, 123075091, 40117277, 22173503, 166966288, 33631571, 35033547, 100143768, 162441819, 13069490, 94194490, 14870913, 71336515, 62702179, 8701297, 155448967, 77874438, 13361038, 291777787, 39902837, 94962878, 7805551, 67476139, 142662399, 3030832, 65153182, 166270172, 45970648, 82023210 ], [ 136706325, 75014517, 43137173, 85872254, 45575426, 7829423, 81223123, 99774050, 45920064, 172303737, 10278007, 74243328, 715105, 113283619, 437098192, 206620174, 26127475, 126065728, 188559672, 131129715, 1641430, 69407280, 54507159, 34088334, 130364319, 21434280, 141286325, 31043805, 85673659, 21147669, 133082515, 15233229, 67136954, 18884057, 9919743, 35084452, 93550397, 547060, 176793234, 26723723, 36108440, 53876431, 34723858, 88627650, 239972320, 8738751, 46963576, 25245431, 84387194, 54615929, 26014536, 36602426, 58291406, 11660676, 74241463, 10654555, 140180100, 66324518, 60422528, 254457576, 66163271, 24647788, 33395442, 36769191, 3707139, 48789712, 131606927, 52475837, 26803841, 11128502, 174654820, 21075646, 79637443, 12467909, 45305325, 11067886, 114605934, 90699893, 56796422, 49279826, 50114849, 44235816, 24766906, 133458871, 105321947, 23136344, 34698524, 143590005, 20536576, 73828439, 28854300, 7492623, 53375586, 19222845, 98515630, 5232805, 4717012, 34104171, 117864039, 65045025, 258837393, 150212864, 64410245, 71747420, 29603894, 86292694, 85449438, 215320101, 67569668, 81933308, 18271800, 41780007, 93898343, 59059864, 39972636, 37966319, 36590622, 181251805, 162226585, 26802638, 59130269, 277962867, 6464083, 34776743, 196711425, 20485487, 64737594, 34178976 ], [ 35045781, 83328899, 16012656, 105199351, 136245013, 7829423, 13110491, 130453420, 45920064, 76253992, 98286111, 1616244, 71615469, 75666424, 54450694, 165555391, 36090254, 61144333, 68578574, 210363708, 54155845, 18910022, 45676187, 16439853, 124738967, 47168326, 70439458, 41914876, 36979083, 9811063, 46714008, 9423297, 1349237, 84314686, 9919743, 18914570, 85660278, 28772929, 12969820, 64448995, 50758034, 17280545, 30105930, 52801849, 85409986, 68451346, 26902868, 5310396, 85232030, 54615929, 48253662, 10030682, 96353757, 82939752, 74241463, 1432002, 35537402, 6044690, 14648640, 31897130, 115403208, 18350140, 38504136, 15008321, 4695700, 137077539, 36349663, 12512447, 45279411, 3217472, 65952366, 137989393, 26179740, 48889045, 20588532, 3347983, 85672637, 31532024, 80381280, 6495620, 212200573, 81516854, 24766906, 39590923, 28656349, 16970109, 61695432, 143590005, 16187715, 73828439, 172646634, 7492623, 51109713, 19222845, 9963648, 65146730, 64436335, 22454238, 42073316, 32328827, 42362674, 6227883, 12279330, 88710090, 165357810, 58271000, 112678011, 21571738, 35164341, 150118051, 18271800, 152283894, 15506915, 7493285, 25574466, 77874438, 2226425, 176569992, 5548202, 51565532, 118431638, 24753675, 62206096, 3030832, 92593388, 154429345, 19398896, 1406978 ], [ 6925873, 277304519, 91521943, 80487212, 47334972, 53865188, 49357933, 146990422, 80612661, 71013518, 8953038, 51694365, 84520594, 39175709, 107831960, 182533911, 76141940, 69607594, 68578574, 564141, 57662142, 46042705, 48133062, 34088334, 79409986, 3834772, 19916619, 4086075, 67213595, 21147669, 3661179, 42759841, 176707072, 129098722, 81512062, 22598478, 20611668, 100440667, 117339067, 34063333, 43467812, 39668587, 11952682, 41670791, 180559876, 10151165, 166347001, 5528881, 15382115, 83200726, 6600383, 82219332, 73262355, 49755262, 26888288, 86751626, 40323419, 32589817, 14648640, 79440296, 76180809, 121805218, 228550736, 15008321, 4695700, 25610046, 110231131, 12512447, 17481693, 11128502, 71141675, 148418193, 104330210, 34873797, 20588532, 88976866, 75252481, 31532024, 16528031, 105238801, 72967934, 10158467, 1157411, 26791723, 5486232, 23136344, 135791645, 143590005, 35901352, 73828439, 71628392, 58997020, 23401976, 19222845, 15727200, 48594798, 792451, 43573138, 147333563, 32328827, 25177763, 15181059, 22173503, 33373381, 11080373, 60881301, 37872868, 21571738, 32211393, 180908149, 423362, 99309657, 102518627, 256710982, 9003131, 801913, 14187457, 20970480, 66553491, 51565532, 7111241, 25533915, 119533693, 57850110, 56362769, 4957152, 15170477, 13783201 ], [ 81365832, 10437978, 91521943, 152706621, 55571884, 7292552, 157367015, 50862421, 119218474, 208557415, 38036421, 51694365, 9099758, 76246576, 57273016, 4762947, 45960502, 17285787, 287602038, 15163429, 24332446, 87169403, 33784157, 34088334, 31594113, 69536009, 146801427, 13627799, 34774265, 9811063, 145809542, 25499364, 9771306, 19490018, 9919743, 124125284, 85660278, 113511328, 108157464, 62487620, 133356784, 18297145, 10819034, 70873402, 36823753, 120163952, 10950694, 36282696, 84387194, 85786520, 26014536, 42047753, 227058345, 67955405, 98129014, 13802806, 40323419, 10537101, 14648640, 6610976, 240883158, 22328890, 166247101, 48164330, 2663878, 23458859, 80665036, 116873020, 17798266, 11128502, 132204889, 41498887, 26179740, 12467909, 20588532, 116247650, 3490129, 10226322, 42791857, 36595329, 221584200, 39596907, 129487313, 14747030, 33774110, 23136344, 192082432, 20869382, 55831970, 2729303, 8403455, 5925314, 20417441, 19222845, 61548478, 114571017, 64682674, 979604, 240355051, 8800202, 207472463, 22447868, 64410245, 87508382, 33631571, 5633797, 2331077, 43313435, 13086775, 9130190, 31533926, 152283894, 108892514, 45408064, 35596711, 77874438, 3207842, 9219250, 24346444, 94962878, 47211406, 52548562, 6464083, 22583049, 12114064, 33248008, 122506639, 41236674 ], [ 232128418, 399317391, 20551867, 157120283, 125013236, 3682891, 81223123, 237504888, 2427633, 140338197, 119367130, 55136879, 71615469, 4386071, 219308401, 153742900, 7619152, 5114422, 5524917, 15163429, 24332446, 71525139, 25690881, 29905141, 87236638, 47168326, 17558543, 79277097, 36199763, 45281678, 23266227, 72761192, 33588870, 33356123, 9919743, 83263277, 118469328, 34814590, 123466888, 7122117, 183119693, 124550739, 43150011, 77004933, 53513307, 181581527, 46963576, 20485951, 79187697, 85786520, 14169246, 201385853, 246096465, 76080428, 58723682, 86751626, 75770217, 80542162, 14648640, 6610976, 78969574, 177631184, 33395442, 27213879, 758187, 101033301, 55612910, 11729070, 184538129, 8937545, 126676667, 364510135, 104330210, 97447020, 33384915, 95140858, 26633138, 157842963, 95255415, 108979105, 81230460, 33612121, 24766906, 90826362, 4667868, 23136344, 71541590, 63061736, 27550543, 187376155, 8403455, 7492623, 332002761, 19222845, 15727200, 5232805, 11187082, 43573138, 185040960, 63678685, 16659855, 47796431, 41300367, 54453038, 165357810, 60881301, 146392488, 21571738, 23022468, 25672973, 31533926, 71336515, 34900327, 114975430, 188837341, 77874438, 14187457, 1801766, 207444234, 94962878, 78811485, 68012621, 4960306, 18538359, 223595272, 44785241, 317657571, 158189237 ], [ 156603499, 97085922, 40672129, 238317939, 23060975, 7829423, 108092179, 95463294, 162257458, 212447531, 74497494, 28134204, 84520594, 76246576, 45166445, 3182977, 30192706, 44778422, 55356279, 35896512, 15557636, 176407070, 12422963, 20474384, 15072477, 29780152, 52043467, 41914876, 26666345, 18419991, 9903731, 17844472, 54857412, 83088573, 87157060, 219513961, 89979232, 77435945, 39196081, 26723723, 12800315, 124550739, 42849273, 31498261, 18086601, 12349849, 46237443, 92219436, 57139815, 85786520, 26014536, 10030682, 63144073, 112735917, 81206991, 11735842, 17143545, 78665279, 14648640, 28456691, 162624579, 24643627, 69826634, 48164330, 4695700, 37640518, 6305415, 53716457, 145575931, 11128502, 3837077, 14339896, 23970795, 6787830, 56088204, 96922655, 8838252, 71500726, 95255415, 26225179, 206468708, 176068714, 93086317, 353621, 48737309, 23136344, 65709753, 143590005, 74453127, 73828439, 28543531, 71502340, 33788022, 6494163, 118353617, 42791092, 9904138, 43573138, 181939986, 26937213, 61104428, 15764238, 64410245, 12439658, 29603894, 26796984, 85449438, 170383539, 26894823, 85577886, 14870913, 44310002, 82457441, 163231397, 54283146, 54779440, 14187457, 30194707, 21806760, 8429515, 100694183, 267592542, 78641200, 12797032, 81256842, 51527338, 50708775, 12655662 ], [ 15156854, 73957937, 58499433, 14511606, 35795330, 84316290, 60256810, 281574122, 129899766, 324192043, 50098378, 33890499, 71615469, 76246576, 171419477, 130018676, 256851300, 148363555, 18630610, 56392526, 48046939, 46042705, 54507159, 34088334, 87236638, 219034777, 202725313, 41914876, 85673659, 18419991, 66496388, 9423297, 134765129, 129098722, 3465686, 63142095, 16958417, 25269060, 240537181, 192086990, 78523311, 39668587, 11952682, 124972417, 92458614, 116921833, 231096543, 145062040, 7617318, 26574046, 26014536, 81405823, 111822348, 72821071, 17366602, 81198396, 63710292, 71019915, 14648640, 120820717, 386062655, 6808628, 214216146, 48164330, 4695700, 163319444, 107754139, 17338867, 58456141, 11128502, 22704879, 103903037, 43998752, 144619704, 67447095, 11067886, 41548460, 117638616, 56796422, 7557390, 19394570, 94236501, 121649146, 15375915, 48737309, 23136344, 102346815, 34969278, 10894370, 11879887, 142284667, 7492623, 129731800, 19222845, 57599499, 25322995, 169119636, 43573138, 213212694, 26937213, 147191683, 18027075, 64410245, 44385067, 11080373, 122892631, 160122026, 11886572, 35164341, 180908149, 31533926, 99309657, 71167972, 146385614, 9003131, 77874438, 14187457, 30194707, 162226585, 87854678, 18720969, 31954784, 37426293, 3030832, 140132668, 120348458, 166224448, 107971872 ], [ 3749336, 91433606, 44621595, 106844904, 125013236, 7829423, 157367015, 24065146, 29296674, 16677736, 22697464, 55136879, 84520594, 63714770, 124769759, 25979612, 3767894, 82178070, 51287163, 30519597, 22805599, 83754180, 49257403, 34088334, 32404941, 2475601, 25770133, 5410299, 39416688, 45281678, 36342808, 25225985, 129135491, 15439603, 148298201, 26762207, 85660278, 42386027, 29495872, 11000239, 9632481, 1836028, 49905013, 71384102, 48619031, 12150853, 46963576, 145062040, 7617318, 40731773, 17161413, 59448742, 45328380, 11660676, 74241463, 5334374, 63710292, 33779002, 14648640, 36778708, 185261334, 51921857, 141259785, 15008321, 4695700, 23458859, 110304335, 20876282, 90734652, 11128502, 1267708, 11935736, 104330210, 48889045, 20588532, 77334314, 37367794, 90102240, 85213851, 105238801, 129387867, 629887, 24766906, 133053673, 48737309, 23136344, 43319394, 11060169, 205437945, 56724625, 36434257, 71502340, 64081322, 19222845, 9662602, 44430424, 30097233, 43573138, 142714957, 26937213, 144545986, 79870237, 15957270, 17475362, 18354612, 10148911, 92336986, 63785001, 11261624, 69673349, 19956384, 86645591, 34900327, 114975430, 88138403, 57109939, 14187457, 30194707, 6556908, 60769819, 23192819, 54314133, 85358323, 35781802, 168052133, 18615545, 39807140, 107278001 ], [ 24568957, 87461526, 10585990, 14511606, 25910147, 7829423, 67601439, 99774050, 47429823, 43240855, 119367130, 74243328, 5231720, 75666424, 57273016, 42286843, 21521887, 7501208, 7011872, 564141, 75809259, 46042705, 33784157, 21110622, 79409986, 23512532, 92722463, 2566108, 4139590, 9811063, 16904080, 25225985, 111944417, 15439603, 3465686, 22598478, 118469328, 100440667, 32765113, 162930195, 9632481, 39668587, 104495417, 124972417, 48619031, 10151165, 46963576, 5528881, 89261922, 75118583, 2596899, 48322024, 93762397, 49755262, 74241463, 13802806, 17500540, 35165228, 14648640, 82513676, 35213388, 6808628, 18131177, 42752385, 181978234, 23458859, 53200990, 82091586, 142922705, 11128502, 81048222, 6038789, 15559195, 60270550, 46200503, 38454805, 15137568, 516990, 7349145, 19249411, 7198399, 48006655, 24766906, 99854249, 61016156, 23136344, 57106426, 143590005, 28965645, 73828439, 13438897, 111049879, 18179967, 19222845, 143499141, 46312484, 5674697, 20716534, 34881830, 32328827, 37460249, 18047640, 22173503, 33373381, 18629613, 40237879, 1030147, 3824292, 211958112, 48503409, 8198026, 33122803, 34900327, 212933282, 164494943, 3410255, 14187457, 38274854, 6556908, 10524672, 7805551, 25533915, 32440805, 12797032, 164193130, 76479548, 54663602, 1406978 ], [ 104726011, 38167608, 113505080, 22543064, 136245013, 124677245, 67601439, 130453420, 25044537, 42255527, 151853792, 17470031, 39063716, 59370111, 13046747, 92223867, 124340353, 189939961, 44048311, 27454659, 11570789, 41601143, 54507159, 34088334, 68339951, 2475601, 51114428, 46274253, 9998687, 9811063, 149815314, 132034122, 82390790, 125799505, 9919743, 22598478, 75484273, 183533100, 157583278, 194479144, 213743451, 39668587, 56029132, 124972417, 16516395, 57446568, 124662508, 5528881, 67654766, 85786520, 166054753, 87331021, 161036725, 115206435, 98129014, 13802806, 63710292, 154476883, 14648640, 16330527, 117524067, 51921857, 18131177, 48164330, 135698135, 137077539, 59972949, 20876282, 54509151, 11128502, 65080746, 73698525, 26179740, 48889045, 20588532, 77334314, 116128221, 185524520, 95255415, 69512700, 94367292, 94236501, 43298155, 102661003, 48897944, 23136344, 43319394, 143590005, 16266247, 73828439, 191962791, 7492623, 5096699, 19222845, 114977052, 46312484, 137137670, 43573138, 188458582, 32328827, 76804800, 15764238, 64410245, 33373381, 23871413, 84823432, 92887243, 13614347, 35164341, 113708864, 31533926, 54392512, 15506915, 110695463, 240354627, 77874438, 14187457, 30194707, 24346444, 18377624, 112368064, 76350134, 25553081, 78707398, 93848901, 76479548, 183250480, 82023210 ], [ 24568957, 97085922, 60354414, 3022990, 9930512, 7829423, 40847644, 130453420, 47429823, 158708634, 94386302, 74243328, 16586335, 12188205, 163794158, 61074071, 18518610, 7501208, 86689388, 40299525, 69861726, 46042705, 16621108, 30265834, 8151623, 43176167, 72896536, 46274253, 36979083, 9811063, 9903731, 17844472, 68623986, 1422517, 9919743, 126173799, 71870895, 28094698, 8240234, 37153598, 132820209, 39668587, 98787651, 744442, 123136462, 46774761, 46963576, 45637162, 20485360, 3179942, 26014536, 43669082, 12789386, 51782060, 70662675, 10654555, 103045746, 57345974, 14648640, 16694518, 52268891, 24643627, 56668070, 4081438, 82787242, 137077539, 110304335, 20876282, 50326426, 11128502, 2070106, 124029708, 26179740, 6787830, 168356313, 10830923, 22639746, 214200684, 39776867, 108979105, 149914217, 109699273, 24766906, 12633242, 33589083, 23136344, 43857363, 71652630, 52984891, 73828439, 191962791, 7492623, 6532860, 19222845, 154056039, 51722485, 19649981, 1276448, 114793140, 1572643, 20456351, 22447868, 64410245, 12439658, 34374270, 94396625, 2331077, 7056005, 35164341, 20602581, 31533926, 12826268, 8928103, 259420844, 17814667, 77874438, 14187457, 135279616, 6556908, 68721987, 77117349, 108217939, 85358323, 78707398, 55241413, 56493094, 144813731, 12655662 ], [ 157825011, 195617784, 40672129, 152346819, 125013236, 7829423, 185094541, 19515505, 10192919, 49791499, 148654513, 55136879, 68684428, 207484940, 140862904, 398565495, 36090254, 118083716, 412104281, 12016051, 24332446, 261658960, 54507159, 34088334, 21710163, 31553180, 38815632, 46274253, 37678757, 21147669, 11870285, 352931658, 74639155, 187451739, 9919743, 100200947, 107093143, 90589342, 240537181, 194479144, 85422202, 17280545, 49905013, 91097174, 35475695, 160633157, 46963576, 145062040, 144016672, 205316883, 26014536, 10030682, 142753804, 28922729, 17366602, 388468692, 67533287, 71019915, 14648640, 31897130, 24436762, 294576628, 18320109, 48164330, 139566993, 6766138, 107754139, 20876282, 21731071, 11128502, 296413887, 367537160, 393453143, 272079305, 109256529, 113168606, 142157452, 484898550, 95255415, 108979105, 148485771, 107338033, 22725182, 428739462, 317841627, 23136344, 131190754, 143590005, 13990823, 73828439, 166448149, 7492623, 59458132, 19222845, 97838497, 141875621, 152051047, 43573138, 46258970, 3962925, 74867953, 127806360, 64410245, 11329710, 20066612, 100048237, 160122026, 35111077, 35164341, 124118469, 191241821, 152283894, 108892514, 13069568, 68779907, 77874438, 14187457, 269502816, 35442875, 68721987, 112721581, 68012621, 27295671, 78707398, 141790302, 116089124, 317657571, 1406978 ], [ 161162372, 22733343, 9024081, 176544161, 136245013, 7829423, 125372885, 89267340, 76581647, 156061995, 56853786, 74243328, 71615469, 33339768, 171647670, 3329384, 3977840, 69607594, 216319744, 263827157, 22169956, 82094116, 52292132, 33438807, 21710163, 2475601, 17558543, 41914876, 30777542, 9811063, 133216040, 37980700, 74639155, 22333972, 5408496, 22598478, 80741361, 159781768, 214807752, 36700884, 108687630, 17280545, 49905013, 93323456, 73587350, 67170957, 90365535, 28630578, 27412036, 47741890, 18112367, 10030682, 840559, 72821071, 98129014, 13802806, 63710292, 66324518, 14648640, 1753138, 24436762, 35379752, 10619634, 48164330, 4695700, 105786545, 28166143, 53716457, 63046026, 11128502, 95321769, 130200549, 26179740, 6787830, 228592382, 29962433, 58758370, 117638616, 11385675, 104407418, 11279915, 107338033, 23898966, 41489736, 48737309, 23136344, 114575580, 34969278, 20555353, 25705215, 191962791, 7492623, 5096699, 19222845, 114977052, 25973217, 157134313, 22454238, 148794764, 9350717, 61104428, 22447868, 64410245, 38917360, 1022323, 137666748, 160122026, 30818252, 35164341, 61441019, 23350213, 152283894, 24112865, 13069568, 296874181, 52841896, 14187457, 30194707, 18050038, 51565532, 132651782, 67476139, 34312063, 49524043, 43911121, 120708607, 105191662, 59881781 ], [ 35045781, 62196637, 761466, 129906827, 136245013, 7829423, 53356002, 35814473, 192345050, 205913846, 94386302, 58519521, 71615469, 26787519, 112141545, 71057612, 45960502, 32367080, 3486058, 15163429, 48046939, 17955149, 54507159, 34088334, 87236638, 43176167, 115866025, 6174396, 36979083, 9811063, 90105736, 9423297, 136541258, 9421681, 9919743, 8730943, 29052408, 251614192, 120031865, 133173171, 78523311, 39668587, 49905013, 80277218, 239972320, 160633157, 90365535, 33027000, 150481908, 52133795, 181641608, 59023443, 246096465, 28922729, 38587555, 13802806, 179471924, 71019915, 6777774, 120820717, 466281136, 97305873, 44960964, 48164330, 139566993, 110458034, 131606927, 246017866, 273217679, 83448209, 14814023, 17645393, 26179740, 110938309, 20588532, 116247650, 22639746, 60796133, 53937678, 167507113, 105173091, 156045941, 55792187, 204831672, 200575005, 23136344, 143989921, 2904087, 52984891, 73828439, 166448149, 7492623, 47854487, 19222845, 32598474, 39259747, 136067010, 43573138, 213212694, 3962925, 484295703, 16885106, 20159442, 28666453, 91195719, 188406128, 131313684, 58570577, 118933817, 111909467, 31533926, 152283894, 108892514, 259420844, 182944468, 77874438, 14187457, 349253358, 24346444, 94962878, 103526719, 23369490, 37426293, 3030832, 2744009, 120708607, 73978564, 59881781 ], [ 31298998, 22733343, 91521943, 51594079, 132514205, 7829423, 53356002, 130453420, 102722373, 29412339, 28463565, 74243328, 7434452, 13920403, 110703301, 198546720, 3205874, 23538996, 112049428, 62336961, 69861726, 31406420, 54507159, 24781058, 74974581, 109847517, 198853147, 46274253, 36979083, 9811063, 90105736, 4695596, 48753237, 238390425, 23007778, 22598478, 31600162, 150742036, 39196081, 163895229, 56845272, 39668587, 11952682, 41882169, 26152465, 5564078, 3890878, 135489276, 85373182, 26574046, 2596899, 6816917, 75890706, 43307428, 98129014, 13802806, 149692833, 183481110, 14648640, 1753138, 48635612, 85502889, 107295128, 48164330, 61780481, 8767110, 53200990, 9662065, 174174712, 11128502, 3837077, 104331977, 26179740, 118429636, 20588532, 93745071, 27684402, 8687687, 95255415, 27824878, 78403680, 94236501, 23898966, 152145799, 8841244, 23136344, 61441404, 36749775, 4808035, 11879887, 102649906, 257217694, 4858739, 11729040, 13659632, 25322995, 47957210, 43573138, 104859824, 32328827, 76804800, 22447868, 50865195, 15381447, 11080373, 3394631, 142324235, 11886572, 23022468, 115107034, 14870913, 44827457, 84954467, 23048235, 9003131, 16840865, 14187457, 135279616, 10289483, 20672213, 211467032, 63452125, 37426293, 4241466, 10921660, 20758734, 177399728, 124371125 ], [ 15156854, 73957937, 91521943, 116750431, 124633861, 7829423, 60256810, 2624622, 134739930, 662381, 50098378, 1616244, 23978890, 13920403, 11165521, 125448221, 107103662, 44778422, 51287163, 107635250, 69861726, 186352835, 54507159, 34088334, 12098090, 3834772, 247711465, 46274253, 85673659, 18419991, 85815687, 9423297, 28069869, 64817493, 19237165, 180270267, 15948992, 57957112, 66144161, 132614146, 78523311, 124550739, 11952682, 2473064, 133202078, 5564078, 16984205, 7457191, 17323077, 26574046, 7446832, 58692296, 1189561, 175944293, 26888288, 10654555, 146736486, 472332237, 14648640, 120820717, 258508231, 85502889, 166247101, 47980771, 2412463, 152204219, 110304335, 20876282, 80335514, 11128502, 80079426, 33033940, 104330210, 47371432, 26501696, 116247650, 41548460, 10001785, 44841138, 39855763, 27466612, 41804734, 43298155, 15375915, 8841244, 23136344, 7241581, 34969278, 223189329, 11879887, 16695420, 311029322, 37842777, 19222845, 136296426, 24819183, 9904138, 43573138, 8006431, 30702354, 51014942, 18668538, 12279330, 9283539, 11080373, 14180180, 122027379, 11886572, 20953012, 33265936, 31533926, 99309657, 12638436, 259420844, 9003131, 57109939, 6292514, 21406575, 162226585, 93552173, 118431638, 67476139, 78709195, 3030832, 97987349, 4957152, 15170477, 1406978 ], [ 18143714, 22846447, 26399766, 107654771, 25910147, 7829423, 68212904, 2963064, 79243782, 69172837, 19436251, 28134204, 37689733, 177384777, 4724026, 93089340, 21521887, 10053466, 3091448, 23242567, 17088587, 156326708, 54507159, 7375093, 4836413, 2475601, 10281903, 31043805, 4139590, 21147669, 50069238, 20960442, 54857412, 125799505, 9919743, 18914570, 52868871, 100440667, 39196081, 55155419, 74975305, 50474282, 84751845, 31498261, 57221722, 10151165, 94789931, 5528881, 84387194, 26574046, 26014536, 11936606, 2674843, 49755262, 5206059, 10654555, 31986973, 33243219, 14648640, 27035160, 64474081, 24647788, 33395442, 15008321, 86197494, 8767110, 131606927, 58765593, 26803841, 11128502, 3837077, 131878093, 104330210, 14664792, 20588532, 51136416, 3875611, 14421553, 53862017, 19249411, 49030490, 13314454, 6244249, 93680837, 52902877, 23136344, 42129310, 34969278, 35901352, 73828439, 13438897, 7492623, 8702321, 19222845, 114977052, 42791092, 44055985, 15323433, 33023457, 81208466, 123075091, 218835269, 22173503, 33373381, 18629613, 5937249, 52774061, 11886572, 45380486, 39156272, 14870913, 90753229, 34900327, 143204687, 36793706, 162911, 14187457, 9219250, 65373577, 83135938, 7440492, 76350134, 37426293, 20314912, 81256842, 36308859, 1712931, 82023210 ], [ 35045781, 75324996, 58499433, 128536824, 33277103, 7829423, 157367015, 53339978, 219481216, 95698674, 42522121, 56977267, 79374506, 42278554, 124769759, 216745372, 12548383, 109181662, 5312691, 138673085, 47659772, 46042705, 54507159, 34088334, 85508498, 117016792, 152388530, 80613834, 36979083, 9811063, 145809542, 9423297, 13192576, 257568326, 10782402, 180270267, 16958417, 3906505, 8739141, 32965629, 78523311, 17280545, 49905013, 124972417, 981145, 6253966, 166347001, 82196489, 150481908, 85786520, 26014536, 87331021, 245910230, 112735917, 17366602, 10654555, 75770217, 41670839, 14648640, 16694518, 6652893, 91164240, 166247101, 48164330, 135698135, 23458859, 107754139, 12512447, 63046026, 11128502, 3837077, 104722467, 26179740, 3573302, 29111175, 10830923, 15917854, 14421553, 19353368, 69512700, 40986634, 42695821, 275729877, 126560956, 12184028, 23136344, 42278587, 143590005, 16534996, 73828439, 191962791, 5193768, 8702321, 19222845, 15727200, 92670162, 76613796, 15323433, 61889502, 24834066, 147191683, 22447868, 22800878, 8363643, 108598905, 5937249, 109660734, 21571738, 35164341, 28840007, 12880145, 79686694, 93898343, 13069568, 33231286, 71561743, 14187457, 132134680, 24346444, 227634995, 3506012, 15816928, 142662399, 3030832, 81256842, 6366577, 57156642, 88384837 ], [ 35045781, 97085922, 91521943, 27899268, 136245013, 7829423, 157367015, 130453420, 90495852, 149287603, 106300619, 74243328, 16730845, 195027270, 57273016, 201684345, 238630503, 1320109, 3091448, 12009771, 94161174, 80782010, 54507159, 34088334, 79909910, 117016792, 125068189, 46274253, 36979083, 9811063, 178863606, 9423297, 36743817, 283626733, 9919743, 180270267, 11644817, 153007828, 39196081, 40607025, 78523311, 60134483, 49905013, 124972417, 239972320, 11684360, 93413578, 113887543, 28791263, 85786520, 26014536, 120801518, 10025685, 67955405, 15670555, 10654555, 177760154, 35165228, 14648640, 148854209, 35213388, 826623, 166247101, 48164330, 14845455, 110435244, 6305415, 20876282, 80184798, 11128502, 3837077, 6038789, 26179740, 82786159, 68259484, 64315384, 71512655, 14421553, 19353368, 123108826, 15170885, 58411432, 98479249, 99854249, 48737309, 23136344, 6180455, 143590005, 87350773, 278858874, 21548482, 7492623, 5096699, 19222845, 125885659, 53048621, 178332130, 43573138, 34392916, 26937213, 76804800, 22447868, 64410245, 53606767, 108598905, 35033547, 1030147, 80062725, 56279754, 28840007, 14870913, 152283894, 5629287, 110223956, 40424233, 2273975, 14187457, 116940943, 24346444, 8429515, 32182005, 67476139, 24425967, 3030832, 81256842, 25586524, 57156642, 158189237 ], [ 35045781, 13342962, 9024081, 80487212, 33277103, 7829423, 60256810, 5550049, 47429823, 16963829, 28463565, 17470031, 28059402, 75666424, 57273016, 61087917, 3205874, 68281884, 43663793, 15163429, 29984501, 46042705, 16621108, 34088334, 82394435, 47168326, 5549289, 41914876, 4139590, 9811063, 48350740, 9423297, 68623986, 1422517, 42529533, 22598478, 85660278, 90589342, 17080176, 36700884, 78523311, 9182292, 46105499, 24447404, 88256435, 10151165, 16984205, 5528881, 42681611, 85786520, 26014536, 53575456, 242164241, 49755262, 74241463, 10654555, 75648262, 71019915, 14648640, 46977691, 60323802, 91164240, 33395442, 34955791, 758187, 27716622, 55101463, 9662065, 77793409, 11128502, 3837077, 154347737, 26179740, 6787830, 20588532, 116247650, 27684402, 91256681, 95255415, 19249411, 1696410, 77916282, 24766906, 25887271, 44399837, 14097842, 65709753, 34969278, 48669013, 11879887, 28854300, 114032897, 4858739, 19222845, 218188754, 25322995, 5674697, 1276448, 90706319, 9350717, 61104428, 22447868, 22173503, 33373381, 72277803, 35033547, 58089574, 194974320, 7958284, 25731143, 14870913, 139912892, 13104997, 23048235, 182944468, 71561743, 14187457, 191715359, 24346444, 51565532, 7805551, 67476139, 6464083, 78707398, 81256842, 1832243, 6509699, 59881781 ], [ 139261844, 97085922, 91521943, 36952558, 136245013, 239313794, 68212904, 30391140, 16684911, 662381, 119367130, 74243328, 71615469, 113283619, 140862904, 23830562, 109053390, 10053466, 259805189, 11730028, 102304414, 68599369, 54507159, 34088334, 11976576, 24683476, 39099766, 85876077, 36979083, 9811063, 98773150, 47393689, 13784895, 14444709, 9919743, 119190490, 106591278, 397428345, 217041723, 109689335, 153560906, 124550739, 49905013, 124972417, 239972320, 109407790, 10632330, 145062040, 88118370, 78224680, 109891819, 86665551, 1189561, 28922729, 98129014, 13802806, 44146728, 20351907, 14648640, 53154926, 294334861, 157094857, 18552721, 15008321, 139566993, 48789712, 101831917, 201743485, 794034, 11128502, 20324473, 137989393, 26179740, 12467909, 312318942, 51136416, 219729890, 31532024, 95255415, 47797032, 76332171, 46523739, 54010867, 90795094, 39026780, 23136344, 51135266, 84180915, 21518661, 73828439, 28854300, 7492623, 51109713, 3742469, 21072459, 114571017, 204017128, 43573138, 147333563, 3962925, 207472463, 22447868, 64410245, 125340561, 93656134, 188784111, 54517013, 43313435, 12821873, 17299405, 31533926, 152283894, 15506915, 213319192, 157498963, 77874438, 14187457, 9219250, 24346444, 94962878, 59130269, 39075645, 6464083, 3030832, 177912206, 61796311, 362045556, 158189237 ], [ 156571192, 386322880, 27156500, 85399666, 25910147, 7829423, 8269977, 130453420, 47429823, 71013518, 119367130, 74243328, 71615469, 178444147, 228818974, 193602125, 123300023, 148363555, 255411690, 128972561, 29984501, 118009155, 49257403, 34088334, 79409986, 47168326, 243799067, 325756812, 36979083, 9811063, 79234419, 72768041, 168067667, 76451841, 9919743, 22945594, 93550397, 392346708, 209717285, 194479144, 26152043, 120311726, 98787651, 124972417, 166440428, 181581527, 46963576, 5528881, 233909435, 412914782, 26014536, 120801518, 246096465, 109565665, 68762402, 13802806, 179471924, 8221730, 148700907, 250324176, 121318335, 56202485, 33395442, 235272537, 130336487, 137077539, 131606927, 146382436, 38614724, 11128502, 123763112, 78631025, 26179740, 272079305, 432979246, 116247650, 142157452, 153143440, 169109617, 102085800, 45404420, 130799588, 4401012, 222469527, 304218136, 23136344, 219008659, 143590005, 48669013, 347380612, 68613069, 7492623, 363713639, 19222845, 264493512, 5232805, 242640728, 43573138, 110766261, 313584214, 269178695, 22447868, 64410245, 33373381, 18629613, 237183791, 100683220, 236276508, 35164341, 284631077, 364340403, 152283894, 108892514, 257060880, 138001916, 77874438, 64456563, 206474779, 6556908, 94962878, 10094996, 188401676, 23396532, 78707398, 14529771, 166270172, 271053200, 35772956 ], [ 57301646, 65245099, 20551867, 7150769, 25910147, 7829423, 81223123, 134947415, 65630068, 9969029, 19436251, 74243328, 19088218, 76246576, 54089311, 54115107, 70047183, 597569, 36161704, 56392526, 17088587, 46042705, 16356857, 9683852, 4836413, 2475601, 220426538, 13627799, 67213595, 21147669, 50069238, 25225985, 33588870, 125799505, 9919743, 158620482, 142197521, 100440667, 110155120, 80415472, 2703522, 39668587, 5890794, 107106667, 48619031, 10151165, 154417123, 5528881, 59102150, 85786520, 26014536, 87331021, 120388076, 49755262, 98129014, 2284701, 63710292, 41670839, 14648640, 28456691, 6652893, 51921857, 33395442, 15008321, 2412463, 23458859, 131606927, 26984587, 68295644, 11128502, 22704879, 178537767, 43998752, 48889045, 19662603, 116247650, 71512655, 10001785, 29067090, 74104424, 126306295, 176068714, 502303, 90795094, 26850711, 23136344, 71541590, 63306276, 48669013, 73828439, 13438897, 7492623, 15273634, 19222845, 114977052, 58298583, 136587684, 43573138, 8006431, 26937213, 31476928, 132025009, 22173503, 33373381, 18629613, 45561590, 52774061, 43313435, 11261624, 33265936, 31533926, 30747609, 1250663, 41110889, 128234247, 77874438, 4285659, 9219250, 65373577, 94962878, 7440492, 207669906, 142662399, 85565421, 26256355, 7885366, 162141142, 1083979 ], [ 97551217, 80601364, 9024081, 104221367, 33277103, 7829423, 34659325, 26217130, 27104065, 95698674, 32160949, 74243328, 71615469, 42278554, 57273016, 92223867, 36090254, 39089548, 44048311, 123248261, 29984501, 46042705, 49257403, 34088334, 101437440, 2475601, 125068189, 46274253, 72652652, 21147669, 46714008, 17844472, 13192576, 14624460, 9919743, 83263277, 16406323, 28772929, 70368511, 11058832, 5540999, 17280545, 5890794, 31498261, 16516395, 10151165, 46963576, 69518087, 31916685, 85786520, 26014536, 87331021, 43346424, 49755262, 17366602, 10654555, 32471947, 15974139, 75391037, 269746, 6652893, 56202485, 33395442, 15008321, 2412463, 10340495, 6305415, 17338867, 54509151, 11128502, 80079426, 105937093, 63965587, 118429636, 7064963, 116247650, 85672637, 10001785, 52311473, 69512700, 19394570, 81516854, 24766906, 152145799, 26850711, 4610874, 131190754, 98891223, 52984891, 35772024, 130013644, 7492623, 8702321, 19222845, 97838497, 28447631, 149384750, 15323433, 143775255, 9350717, 312568157, 132025009, 22173503, 138528259, 34374270, 5937249, 2331077, 63785001, 6412549, 33265936, 31533926, 102354689, 93898343, 13069568, 16260889, 71561743, 23608420, 206474779, 6556908, 8429515, 7805551, 76350134, 42882095, 16653158, 26256355, 13483105, 34436816, 1406978 ], [ 42120997, 43082629, 30589702, 120922829, 56929310, 7829423, 81223123, 24065146, 47429823, 65939172, 2409901, 34518685, 34739738, 12188205, 112552508, 59170089, 21648735, 148363555, 5312691, 15163429, 29984501, 46042705, 49257403, 34088334, 32404941, 2475601, 141286325, 31043805, 28364289, 21147669, 145809542, 25225985, 94935099, 86439671, 9919743, 36446164, 140274632, 124297642, 66144161, 26723723, 5540999, 39668587, 11857120, 52181735, 48619031, 12150853, 46963576, 59332556, 14468355, 26574046, 26014536, 36602426, 45328380, 115428767, 36856982, 86751626, 17500540, 51210683, 14648640, 10059202, 1431459, 228691282, 33395442, 40661463, 93054322, 17474196, 28844109, 58765593, 44662070, 11128502, 17076219, 212421873, 592084, 105681623, 144697420, 38454805, 142157452, 7838818, 15592057, 108979105, 86317773, 7202544, 24766906, 183263655, 12184028, 18759653, 61695432, 63061736, 52984891, 73828439, 119485024, 7492623, 53375586, 19222845, 4934861, 5232805, 26063013, 43573138, 20280847, 32328827, 141799632, 176807439, 8122203, 58596541, 29603894, 10148911, 150515002, 11886572, 152841733, 256671719, 31533926, 62371700, 108892514, 23367999, 38471680, 36619236, 14187457, 9219250, 6556908, 60769819, 59130269, 58363570, 87110961, 85565421, 244217841, 83112910, 64737594, 1406978 ], [ 21192448, 73957937, 14916627, 102340839, 109842274, 7829423, 81223123, 80700505, 47429823, 95698674, 60920828, 74243328, 21363058, 12188205, 95863644, 61074071, 73125700, 39089548, 51287163, 37914910, 29984501, 98765786, 54507159, 9683852, 14533353, 2475601, 78293465, 148886653, 4139590, 9811063, 92691441, 25225985, 6649052, 19490018, 48997942, 1474037, 52868871, 22625064, 39196081, 64811307, 122282160, 124550739, 5890794, 24447404, 16516395, 37449118, 46963576, 5528881, 68677309, 26574046, 26014536, 87331021, 98858040, 85689086, 74241463, 13802806, 48212736, 119672896, 6160525, 10059202, 35918504, 56980432, 33395442, 15008321, 2412463, 110435244, 131606927, 58765593, 58456141, 11128502, 3837077, 104722467, 26179740, 6787830, 20588532, 15192393, 3875611, 10001785, 6272544, 19249411, 51701143, 39596907, 24766906, 52532089, 44399837, 4804257, 18630531, 34969278, 35901352, 73828439, 15208981, 175827883, 15273634, 19222845, 11835498, 58298583, 9206586, 979604, 158244849, 30702354, 61104428, 22447868, 8122203, 682079, 108598905, 5937249, 2331077, 11886572, 11261624, 33265936, 14870913, 71336515, 8928103, 2587839, 115069051, 77874438, 4285659, 9219250, 7752645, 11520981, 4108592, 76350134, 6464083, 3030832, 2890608, 44785241, 1461486, 1083979 ], [ 50473785, 97085922, 91521943, 27899268, 108146059, 7829423, 51637943, 2201648, 46175481, 41997364, 71444957, 61471504, 43866532, 291243521, 11165521, 193602125, 105901672, 33658188, 8188523, 12009771, 97304613, 60954230, 16621108, 30265834, 15072477, 47168326, 32545125, 8874972, 36979083, 9811063, 145809542, 4695596, 33744510, 1422517, 237341141, 23372866, 59625208, 106295644, 23580742, 42816192, 153560906, 60960354, 15001969, 744442, 48619031, 11684360, 36451849, 135489276, 14335983, 75118583, 26014536, 87331021, 89567576, 51209565, 8421447, 13802806, 88853903, 164215030, 14648640, 46977691, 48635612, 66703717, 82559288, 48164330, 84303833, 23458859, 108723298, 11729070, 114346818, 8937545, 101377208, 188139257, 15559195, 6787830, 71543701, 116247650, 27684402, 8687687, 30284243, 26225179, 136839348, 19213264, 5034516, 117292107, 179824158, 23974405, 107412209, 7659330, 66802733, 11879887, 41167231, 18329369, 33788022, 19222845, 16038552, 25322995, 161056084, 1276448, 112348439, 13894074, 38645547, 20750624, 35503196, 84108323, 34374270, 78050715, 94602040, 307186212, 122719650, 20602581, 43644912, 33122803, 8928103, 259420844, 580326, 77874438, 14187457, 38274854, 6556908, 26460412, 213588211, 67476139, 85358323, 76733489, 113659317, 25586524, 202496075, 119904947 ], [ 37173642, 97085922, 91521943, 66718259, 136245013, 7829423, 67601439, 170396829, 47429823, 168601656, 10278007, 61471504, 44975003, 76246576, 57273016, 185523082, 300976933, 27986466, 51287163, 62336961, 82697675, 31406420, 191486, 34088334, 44011941, 2475601, 16674892, 31043805, 60254139, 21147669, 32318278, 25225985, 119456473, 125799505, 9919743, 55362925, 85660278, 133628391, 39196081, 194479144, 36059279, 19494935, 5890794, 48587442, 16516395, 176475603, 4572319, 101269026, 84387194, 85786520, 26014536, 12642828, 76808878, 67955405, 74241463, 6693316, 70792158, 163751559, 14648640, 29912983, 211715527, 22328890, 106071781, 48164330, 2412463, 984965, 6305415, 10661251, 57035622, 8937545, 1853982, 104331977, 94828328, 6787830, 20588532, 116247650, 15137568, 10001785, 95255415, 38459957, 22469551, 33612121, 24766906, 14747030, 371790041, 4804257, 65709753, 143590005, 52984891, 73828439, 143966133, 7492623, 19687512, 17271197, 27348934, 40118634, 120534327, 979604, 234394100, 32328827, 54551988, 79870237, 50865195, 139292738, 19397786, 35033547, 2331077, 109644818, 11261624, 33265936, 14870913, 152283894, 69997795, 45408064, 216763201, 7845512, 14187457, 131099164, 1588375, 8429515, 160863494, 67476139, 78387384, 16176322, 2890608, 166270172, 107791753, 1406978 ], [ 297616339, 2248874, 91521943, 42333513, 125013236, 70902357, 40798206, 151981461, 47429823, 245761981, 42522121, 6732599, 58480481, 75666424, 18117709, 25658098, 7913937, 35210160, 5312691, 28941804, 166500265, 46042705, 54507159, 34088334, 44011941, 2475601, 72896536, 283889863, 60254139, 21147669, 48350740, 45632430, 130629805, 120989005, 22427269, 22598478, 118469328, 90589342, 84598180, 104704956, 161630182, 4049948, 49905013, 24447404, 22732079, 181581527, 46963576, 145062040, 92307851, 9224582, 17161413, 49228694, 51682529, 67955405, 54792121, 10654555, 177760154, 6044690, 14648640, 31897130, 66163271, 77613720, 96155208, 48164330, 2412463, 23458859, 70439477, 142246769, 26803841, 11128502, 233507681, 41029784, 56955854, 123641617, 443386179, 17923809, 22639746, 10001785, 95255415, 49279826, 144643058, 109922148, 24766906, 25887271, 12184028, 23136344, 6180455, 143590005, 52984891, 73828439, 69853754, 48078677, 20077500, 19222845, 79091183, 99397760, 30097233, 43573138, 158244849, 32328827, 401010051, 79870237, 37542637, 88710090, 58560109, 42055225, 47583747, 110035238, 35164341, 33265936, 130573337, 240288566, 93898343, 13069568, 39972636, 2273975, 14187457, 224879979, 88814411, 51565532, 51613150, 67476139, 12043699, 20476368, 2890608, 49757387, 33560528, 61077805 ], [ 35045781, 27410785, 40672129, 75194966, 136245013, 7829423, 11334436, 219789550, 47429823, 4244823, 119367130, 17470031, 8799657, 75666424, 23609316, 53198526, 36090254, 10053466, 51287163, 564141, 29984501, 49579765, 7097485, 34088334, 21710163, 2475601, 41510885, 64536951, 85673659, 18419991, 21315936, 9423297, 130629805, 125799505, 9919743, 22598478, 46460052, 158934522, 217041723, 57215932, 78523311, 9182292, 98787651, 17925071, 39853586, 5564078, 46963576, 92219436, 200871695, 203833526, 26014536, 10030682, 134208197, 85157401, 17359677, 86751626, 107804178, 7865970, 14648640, 31897130, 35213388, 98322524, 33395442, 48164330, 2412463, 114734156, 131606927, 116873020, 63046026, 9746900, 115676548, 6038789, 2585693, 48889045, 20588532, 17923809, 48982349, 10001785, 29660403, 108979105, 45404420, 113041244, 24766906, 52258012, 8841244, 23136344, 64781293, 37648669, 16318277, 73828439, 172646634, 7492623, 112610509, 19222845, 114977052, 5229812, 242640728, 43573138, 78856754, 254433198, 31953348, 79870237, 64410245, 88710090, 30496227, 246766272, 1030147, 43313435, 35164341, 33265936, 4326385, 18245555, 34900327, 13069568, 226622238, 77874438, 14187457, 9219250, 39902837, 51565532, 15166187, 53718499, 20411721, 12797032, 11770568, 166270172, 59543859, 1406978 ], [ 63235793, 27410785, 40672129, 7150769, 97731432, 7829423, 128179159, 10728620, 47429823, 16677736, 19436251, 13734526, 16730845, 4347577, 54241451, 52926680, 36090254, 46153889, 21654249, 2916047, 111112744, 46042705, 43723709, 34088334, 87890122, 3571107, 17218684, 8874972, 36979083, 9811063, 21315936, 30479417, 28190702, 60620189, 9919743, 22598478, 33233993, 23384493, 5242904, 36700884, 11142073, 9182292, 74984163, 13338824, 48953943, 5564078, 22487531, 33027000, 27658597, 29578347, 26014536, 10030682, 161036725, 92162321, 47110452, 10654555, 10129204, 8221730, 14648640, 31897130, 6652893, 48287149, 21762789, 4081438, 2412463, 66800393, 28166143, 3498867, 36603489, 11128502, 23920128, 6038789, 26179740, 52939944, 191505838, 99667754, 48982349, 3496511, 95255415, 108979105, 24154625, 39596907, 24766906, 99854249, 8841244, 23136344, 96982344, 63306276, 52984891, 13220476, 141511634, 7492623, 27939939, 19222845, 32598474, 5229812, 37119810, 979604, 90706319, 25001408, 144545986, 5069508, 42410573, 71747420, 100601120, 2904225, 160122026, 30818252, 13086775, 27070144, 26874402, 72021464, 15506915, 13069568, 63635884, 77874438, 14187457, 63181072, 14336040, 51565532, 7440492, 58038974, 20411721, 35781802, 26256355, 13982955, 59543859, 20795764 ], [ 4298335, 46578707, 44621595, 74974636, 89648487, 7829423, 138825044, 527077, 24406483, 142793895, 27598405, 69354034, 84520594, 63714770, 57273016, 30061701, 124340353, 69607594, 7011872, 4815791, 22169956, 3747843, 54507159, 34088334, 14533353, 101983729, 22853199, 17025805, 48215970, 21147669, 9903731, 26626450, 77834661, 19490018, 9483294, 22598478, 85660278, 239543388, 240537181, 19421974, 5540999, 35644099, 114412716, 86980259, 120442365, 181581527, 16984205, 145062040, 106295078, 85786520, 26014536, 3549029, 164142034, 21139736, 98129014, 10654555, 151361089, 74767847, 14648640, 186875839, 77985763, 3367081, 146037707, 15008321, 4695700, 114734156, 131606927, 21240755, 5653064, 11128502, 71141675, 6038789, 50095090, 12467909, 20588532, 64300191, 30536285, 39444211, 79174850, 59806250, 91734214, 48006655, 69949614, 99854249, 29354841, 23136344, 84518664, 143590005, 6061460, 73828439, 28854300, 19209641, 62562029, 2279026, 38878346, 43041183, 145082740, 43573138, 8006431, 32328827, 72454346, 44820657, 64410245, 150227119, 16347606, 129128171, 37329308, 43313435, 35164341, 48503409, 8198026, 71336515, 1135458, 114975430, 15882741, 77874438, 14187457, 9219250, 162226585, 10524672, 93946636, 54314133, 6464083, 39722141, 8818718, 10390651, 114809047, 12655662 ], [ 115553475, 83328899, 17851475, 7150769, 61363343, 42600000, 26883176, 2201648, 46175481, 43240855, 28463565, 61471504, 71615469, 546358766, 98151237, 299491671, 3205874, 132388419, 188559672, 138673085, 29984501, 90821166, 54507159, 34088334, 15072477, 3914731, 230950448, 191703500, 48317547, 21147669, 27713467, 30479417, 29973563, 187451739, 9919743, 34571402, 62773345, 139889655, 23580742, 26723723, 8922706, 9182292, 12920141, 124972417, 43195851, 128954548, 4572319, 145062040, 89261922, 75118583, 26014536, 10030682, 48129914, 62092515, 74241463, 23871470, 71835807, 1478516, 124904077, 48091385, 525371652, 287653802, 33395442, 39130752, 28721496, 94680209, 130898880, 9662065, 126674761, 11128502, 1927362, 117941166, 64145587, 7409211, 167853684, 451542149, 10016432, 40682772, 146948309, 26225179, 19038590, 67462699, 24766906, 34443258, 61548185, 23136344, 187569740, 143590005, 58281302, 73828439, 119485024, 7492623, 4858739, 19222845, 24385918, 5232805, 35003869, 43573138, 243114746, 84343829, 164487205, 218835269, 64410245, 139235763, 29603894, 115582686, 76288279, 62792449, 105225237, 52247402, 31533926, 152283894, 108892514, 23048235, 95992208, 77874438, 82300461, 131099164, 162226585, 66480254, 158327746, 80274161, 1650900, 3030832, 247733840, 72724469, 390608005, 62598759 ], [ 35045781, 73957937, 40672129, 51594079, 25910147, 4580769, 9494755, 24251783, 28919891, 3132384, 14779916, 343617, 8799657, 75666424, 23406795, 12983464, 3205874, 3742938, 22810117, 21540213, 22169956, 3747843, 16621108, 5328576, 15072477, 43176167, 17558543, 8874972, 36979083, 9811063, 72789413, 9423297, 68623986, 1422517, 9919743, 22598478, 30742262, 77762498, 26001031, 36700884, 73894573, 16703260, 59828207, 12419899, 24402478, 139331845, 3890878, 5528881, 65413329, 52133795, 68774826, 10030682, 42336102, 21139736, 16917306, 13802806, 128300246, 7865970, 14648640, 66551443, 40618436, 826623, 82559288, 48164330, 85982927, 10340495, 6996498, 3934247, 5653064, 11128502, 34446508, 7708208, 26179740, 37250151, 20588532, 26211148, 49375404, 25369199, 10378058, 21767430, 45404420, 8458128, 23236782, 33996742, 74899291, 12526600, 31450107, 34969278, 48669013, 24468505, 6810807, 7492623, 4858739, 10567565, 53706546, 26922735, 36092198, 43573138, 39356024, 10160871, 72454346, 6227883, 12046729, 8092144, 14700009, 6358199, 1098868, 84200787, 7958284, 7602098, 5035302, 14097061, 42207456, 23048235, 73458073, 17911957, 14187457, 17012003, 16235865, 20672213, 10094996, 50378523, 20856392, 12797032, 50006153, 82219371, 78457530, 70596795 ], [ 155487815, 22733343, 85679485, 30637130, 1773737, 53982424, 139082403, 149321583, 11211534, 71013518, 96559793, 74243328, 71615469, 76246576, 57273016, 41574475, 18518610, 158534750, 30352729, 70067172, 192824177, 91545455, 49257403, 34088334, 8151623, 39120531, 1271261, 41914876, 37749319, 21147669, 35615106, 155286467, 37924836, 129098722, 9919743, 15006975, 53536389, 183533100, 110155120, 64448995, 51886204, 68812443, 90763939, 114315668, 124986952, 23211245, 42579567, 145062040, 14193971, 85786520, 32853764, 85971047, 12789386, 67955405, 3646078, 86751626, 179471924, 54908420, 95386526, 1753138, 33872485, 7615981, 65953289, 42752385, 4695700, 108437190, 31754918, 4559484, 50326426, 11128502, 83734404, 26004917, 88897354, 14664792, 55101405, 104510080, 687837, 31134821, 10845223, 26225179, 11279915, 29198634, 22855752, 90826362, 72416156, 12526600, 39372815, 116548344, 74453127, 73828439, 65970730, 7492623, 34547151, 19222845, 764587, 55651744, 12258690, 6823891, 8006431, 51947465, 24852577, 22036461, 60899828, 146119787, 34374270, 66126466, 250737365, 3824292, 60066507, 10655704, 31533926, 99061925, 1250663, 117633905, 82942956, 8584266, 37472910, 9219250, 6556908, 66480254, 10094996, 29998079, 85358323, 39722141, 26480746, 30465361, 105191662, 35772956 ], [ 245485187, 97085922, 20551867, 36703392, 18044044, 7829423, 13110491, 10728620, 1554397, 171165831, 126174866, 55136879, 31858997, 66852802, 57273016, 118793617, 36090254, 148363555, 36161704, 102787669, 29984501, 91545455, 49257403, 34088334, 17271424, 2475601, 1156155, 18140653, 28364289, 9811063, 175702266, 13684043, 37924836, 14624460, 9919743, 22598478, 15948992, 56484265, 6365066, 64448995, 5540999, 17280545, 49905013, 114315668, 3538355, 57317810, 10950694, 5114768, 144185530, 147982748, 26014536, 10030682, 43346424, 67955405, 17366602, 13802806, 47404118, 27824386, 14648640, 6610976, 7397178, 110666726, 33395442, 47980771, 6889083, 108437190, 31754918, 187247203, 63046026, 11128502, 89756829, 166078129, 26179740, 14664792, 7064963, 116247650, 26633138, 34125965, 95255415, 74104424, 76332171, 156045941, 24766906, 45077948, 41212444, 4804257, 71541590, 116548344, 41994354, 36239618, 148412611, 7492623, 8702321, 19222845, 97838497, 3258182, 33887047, 15323433, 8006431, 26937213, 121280177, 22447868, 18592239, 33373381, 34374270, 59651797, 1311736, 140513441, 35164341, 98822938, 86193954, 151259815, 78179682, 13069568, 162901039, 71561743, 14187457, 21329257, 6556908, 12625905, 271186117, 31012904, 74727745, 3030832, 2030594, 7885366, 15608376, 158189237 ], [ 297616339, 3213739, 91521943, 117514230, 33277103, 7829423, 67601439, 10728620, 47429823, 129055000, 151853792, 55136879, 84520594, 118516179, 147782651, 1552204, 36509371, 380817300, 30903874, 35578842, 22169956, 278857250, 48133062, 34088334, 12333767, 43176167, 70439458, 99388763, 11898699, 21147669, 74898406, 229230852, 130629805, 260739326, 272428093, 34056680, 38645853, 90589342, 17080176, 64448995, 153560906, 74514401, 71629579, 2221791, 141293504, 5564078, 46963576, 127497359, 152880962, 85786520, 310187444, 87331021, 246096465, 69681746, 74241463, 122424808, 22738627, 198124556, 14648640, 46977691, 237811565, 91164240, 166247101, 48164330, 244440174, 21407640, 131606927, 167615967, 77793409, 11128502, 3837077, 146615197, 104330210, 58811239, 20588532, 116247650, 27684402, 31532024, 95255415, 108979105, 63222764, 94236501, 24766906, 26791723, 8841244, 23136344, 65709753, 143590005, 110419750, 73828439, 191962791, 350346165, 8702321, 19222845, 17860151, 68970571, 396401983, 15323433, 9418258, 165188381, 102944384, 37718178, 54042815, 114835017, 165357810, 35033547, 54465532, 13452057, 35164341, 25731143, 14870913, 195576247, 82841189, 259420844, 240354627, 6096165, 14187457, 9219250, 10101258, 227634995, 223254315, 74171203, 64859055, 78707398, 81256842, 1832243, 39011870, 130651291 ], [ 109760638, 1475812, 91521943, 207849577, 64598886, 53865188, 13110491, 2624622, 47429823, 173988931, 33741451, 343617, 6423718, 32351205, 25976978, 12983464, 36090254, 23133346, 5312691, 15163429, 36090930, 44821088, 49257403, 34088334, 18345311, 2475601, 26202713, 41914876, 85673659, 21147669, 90105736, 25225985, 130629805, 64817493, 22427269, 142200352, 78191777, 27492701, 163467739, 120722159, 188043164, 15640382, 98993090, 50649484, 48619031, 9680138, 46963576, 53726468, 99676746, 58812563, 3491132, 82219332, 51243350, 67955405, 26888288, 10654555, 80207733, 81727995, 11163758, 23986688, 117524067, 116865440, 74490153, 48164330, 4695700, 50906345, 131606927, 94582181, 63046026, 11128502, 5429053, 56077765, 43998752, 118429636, 20588532, 26211148, 58924143, 196508, 58722315, 63836954, 243336865, 11589281, 24766906, 21248758, 12184028, 8072599, 131190754, 20840156, 39498949, 73828439, 84239235, 2933573, 215134385, 19222845, 753970, 309113711, 9904138, 38474957, 8006431, 30702354, 45402366, 12378672, 64410245, 53606767, 34374270, 42055225, 102114607, 185295986, 28555509, 10655704, 19506101, 136898935, 93898343, 13069568, 102100271, 42316175, 14187457, 21406575, 6556908, 227634995, 146416411, 52832216, 50960784, 14147659, 177605361, 4957152, 132141052, 50066590 ], [ 24568957, 75324996, 6486315, 39300899, 136245013, 7829423, 22913894, 210258692, 47429823, 49068876, 22697464, 17470031, 6423718, 46803205, 57273016, 193602125, 36090254, 44778422, 5312691, 40350921, 69861726, 46042705, 49257403, 9683852, 101437440, 2475601, 86275812, 46274253, 8337772, 21147669, 90105736, 25225985, 11000848, 19490018, 7461596, 22598478, 95614274, 116230349, 123466888, 91976573, 83329770, 17280545, 49905013, 124972417, 16516395, 107744868, 46963576, 114037009, 58222733, 99594303, 16940442, 86665551, 73771643, 21139736, 74241463, 10654555, 22738627, 71019915, 14648640, 31897130, 166121616, 146962618, 59322572, 48164330, 75883903, 73321566, 110304335, 11729070, 17798266, 8937545, 81048222, 6038789, 364355, 6787830, 27853380, 52973807, 90252989, 71500726, 41490672, 1405315, 24338464, 33612121, 24766906, 65426405, 12184028, 23136344, 6180455, 143590005, 35901352, 73828439, 28854300, 114032897, 33788022, 19222845, 79091183, 224424277, 9904138, 43573138, 76660631, 30702354, 58625715, 70642083, 31228863, 88710090, 34374270, 42055225, 19570961, 158358167, 35164341, 25228021, 8198026, 173416353, 2747877, 13069568, 35140652, 2273975, 4285659, 116940943, 6556908, 51565532, 80462359, 54314133, 6464083, 600316, 11770568, 1832243, 122506639, 3031721 ], [ 24568957, 56044482, 91521943, 6097125, 33277103, 7829423, 119857392, 7235431, 51378006, 43240855, 119367130, 47081627, 8799657, 79596578, 95616906, 109238084, 24342805, 148363555, 97323600, 138673085, 24332446, 118009155, 54507159, 1825024, 21710163, 46559750, 224545812, 61702296, 36979083, 9811063, 216228118, 17945446, 111944417, 159091649, 9919743, 100200947, 66643059, 98172555, 91550559, 194479144, 73803593, 124550739, 64193864, 124972417, 175894175, 10151165, 95192184, 82196489, 75740904, 75118583, 26014536, 76672245, 140065442, 49755262, 3646078, 1188044, 152088537, 7865970, 14648640, 210618188, 44188089, 24647788, 229138037, 48164330, 232432162, 107569715, 33707829, 132621341, 26803841, 11128502, 80079426, 220884734, 10258276, 89223440, 20588532, 116247650, 3875611, 14421553, 95255415, 47684936, 14162463, 167155196, 168199869, 408595771, 17632285, 23974405, 84668741, 112132347, 36086477, 143157688, 13438897, 7492623, 8702321, 19222845, 78865481, 89590566, 225087323, 15323433, 16667125, 218872319, 77297283, 22447868, 22173503, 48375287, 165357810, 201967999, 160122026, 173777411, 35164341, 187446941, 31533926, 20229549, 108892514, 50621143, 39972636, 71561743, 14187457, 72742803, 24346444, 48573529, 7805551, 22604844, 142662399, 78707398, 150984916, 53777859, 202956253, 45644499 ], [ 21099324, 56044482, 9024081, 50682523, 86785434, 7829423, 65341913, 40770727, 86166459, 77789480, 119367130, 17470031, 37973525, 75666424, 83025481, 63950495, 17224786, 23133346, 103695142, 30519597, 29984501, 117615444, 54507159, 34088334, 101437440, 113979734, 34640560, 8195034, 85673659, 101454221, 90105736, 9423297, 115734425, 90961544, 22427269, 22598478, 231280088, 100440667, 91550559, 255232818, 61705196, 1836028, 5890794, 33055601, 70074088, 10151165, 36451849, 145062040, 7617318, 78224680, 26014536, 10030682, 75890706, 21802511, 12578158, 10654555, 55492492, 48934981, 14648640, 31897130, 2470016, 56202485, 33395442, 16231587, 745699, 66560544, 107754139, 20876282, 63046026, 58308069, 1077609, 105937093, 104330210, 5344776, 105449809, 116247650, 174581885, 60945208, 95255415, 2608190, 14162463, 46523739, 5034516, 89633290, 48897944, 23136344, 119342099, 143590005, 223189329, 56724625, 88203848, 9721247, 23401976, 19222845, 97838497, 20065544, 40298243, 43573138, 64140198, 9350717, 141799632, 15546031, 22173503, 46152868, 108598905, 50377822, 143553988, 72412445, 23022468, 180908149, 31533926, 21710698, 93898343, 13069568, 44746244, 52841896, 14187457, 135279616, 88814411, 10007072, 7805551, 128999193, 85358323, 3030832, 260688887, 41984020, 51170976, 1406978 ], [ 24568957, 22529708, 9024081, 112502755, 25910147, 7829423, 31305469, 92093921, 9415221, 28915564, 19436251, 17470031, 8799657, 53508936, 57273016, 71614902, 76141940, 44778422, 65518539, 564141, 97475459, 46042705, 7097485, 34088334, 79409986, 46559750, 9786471, 41914876, 58284973, 21147669, 168007363, 184953120, 129135491, 75366654, 45833784, 22598478, 85660278, 100440667, 86884185, 41382267, 108687630, 7658704, 49905013, 26612374, 45109329, 10151165, 90365535, 33027000, 116511475, 52133795, 26014536, 5463430, 161036725, 49755262, 98129014, 29246001, 40323419, 6044690, 14648640, 37535908, 42952507, 2999252, 161429913, 48164330, 4695700, 48789712, 110304335, 11729070, 17798266, 8937545, 1077609, 6038789, 43998752, 48889045, 20588532, 94579031, 174581885, 62078491, 29617518, 74104424, 24637864, 33612121, 43298155, 94155543, 43158043, 23136344, 143989921, 32438638, 37520657, 73828439, 13438897, 9952316, 23401976, 19222845, 15272083, 5232805, 9904138, 43573138, 8006431, 9350717, 31953348, 20441678, 22173503, 2842731, 18629613, 58271000, 8636343, 21571738, 23022468, 180908149, 62345459, 71336515, 8928103, 100859793, 35596711, 77874438, 14187457, 30194707, 146705618, 51565532, 7440492, 67476139, 1622103, 39724630, 12114064, 1832243, 122506639, 59881781 ], [ 24175356, 97085922, 40672129, 43746195, 1773737, 7829423, 122613682, 130453420, 219481216, 61909580, 4702685, 41486969, 16948464, 142443403, 163922784, 201684345, 24342805, 148363555, 42310155, 15163429, 22169956, 142843678, 7097485, 34088334, 79409986, 43176167, 54092287, 31258828, 36979083, 9811063, 145809542, 25056992, 68623986, 1422517, 282226240, 180270267, 79530309, 158934522, 39196081, 50501163, 108687630, 215891714, 2746479, 42432070, 109967989, 72681927, 19848542, 145062040, 27412036, 52039469, 26014536, 10030682, 11225772, 104804112, 30901586, 13802806, 42237439, 26698115, 3240879, 82513676, 121318335, 42627051, 82559288, 48164330, 11507663, 23458859, 131606927, 11729070, 149936101, 8937545, 2984356, 6038789, 26179740, 73497410, 151302089, 116247650, 73825580, 79806824, 95255415, 127877384, 51738320, 26405033, 74877151, 99854249, 122327836, 23136344, 65709753, 31097049, 23393398, 73828439, 6892950, 5193768, 51109713, 19222845, 5890318, 5232805, 22487999, 43573138, 110766261, 67418016, 31953348, 22447868, 57685915, 48375287, 9594562, 35033547, 237985021, 364075596, 11775402, 287110292, 14870913, 16406901, 15506915, 111090696, 283157132, 77874438, 14187457, 116940943, 24346444, 40693849, 10094996, 67476139, 37426293, 33561096, 81256842, 53777859, 177153332, 120635486 ], [ 4298335, 97085922, 91521943, 82213042, 136245013, 42600000, 55872170, 117250155, 47429823, 225481585, 56884539, 74243328, 71615469, 76246576, 57273016, 2141582, 30417773, 148363555, 149911674, 133197152, 54155845, 144833982, 54507159, 34088334, 68339951, 2475601, 17218684, 2566108, 85673659, 21147669, 145809542, 38606700, 44580178, 125799505, 9919743, 23589456, 16030056, 8541482, 66144161, 12831493, 36108440, 18119559, 98787651, 33055601, 16516395, 43339144, 46963576, 55732170, 92826717, 35685012, 26014536, 60240107, 100725384, 67955405, 57797426, 41932736, 107832807, 41670839, 38478205, 85070222, 44188089, 163526627, 166247101, 74046888, 4695700, 23458859, 79036542, 20876282, 50687245, 11128502, 65127504, 41498887, 104330210, 108826435, 20588532, 8928777, 142157452, 182149184, 44841138, 2608190, 34174321, 30236635, 24766906, 89633290, 99864472, 23136344, 61695432, 143590005, 95843728, 164468550, 40205379, 7492623, 27939939, 19222845, 64264847, 5232805, 29218734, 43573138, 114793140, 81208466, 207472463, 1011053, 64410245, 65586177, 29603894, 54825054, 52719948, 29326095, 26093144, 77965077, 31533926, 43792465, 1135458, 6531870, 49417923, 77874438, 7915461, 9219250, 105760348, 10007072, 59130269, 67476139, 22032563, 85565421, 135969227, 105328558, 13486249, 4334444 ], [ 24568957, 300751588, 7062885, 311917730, 25910147, 497774472, 81223123, 253210996, 165195143, 71013518, 151853792, 74243328, 147306400, 307610120, 14676184, 116904279, 123300023, 148363555, 523308368, 128972561, 5550845, 700023440, 54507159, 18414844, 79409986, 211897627, 64438711, 165126334, 67213595, 204697674, 9569806, 91807426, 253217494, 222901832, 211029515, 229013731, 160648159, 783828757, 209717285, 194479144, 85422202, 193573091, 82888270, 64303604, 186722659, 181581527, 188705538, 5528881, 509904993, 108817684, 26014536, 443551275, 234638775, 300704261, 17366602, 198091851, 179471924, 182765512, 14648640, 357908285, 416883383, 134454140, 33395442, 23951579, 486393603, 24705124, 107754139, 194797048, 128749531, 11128502, 72485040, 345390576, 195213509, 272079305, 2603040, 27399712, 325436272, 169984304, 26679701, 91472942, 197633367, 145284939, 187060446, 165181048, 304218136, 23136344, 518188446, 143590005, 48669013, 22719650, 110763008, 353294001, 292764033, 19222845, 97838497, 44916132, 126818162, 43573138, 13353701, 152548372, 429294927, 176571085, 24977111, 8175315, 18629613, 246766272, 160122026, 291330493, 35164341, 163716444, 364340403, 207803865, 185794407, 259420844, 488347262, 77874438, 14187457, 128699865, 79851375, 17569813, 10094996, 295251508, 183488793, 78707398, 349853773, 86728952, 161831401, 158189237 ], [ 35045781, 14156052, 91521943, 22543064, 129818506, 7829423, 157367015, 10728620, 47429823, 77985592, 67374390, 48301511, 31138895, 33316267, 95616906, 97040366, 148249129, 83678490, 6150042, 138673085, 274219147, 41601143, 54507159, 18414844, 21907588, 21434280, 195681829, 108096839, 36979083, 9811063, 41359408, 9423297, 120487462, 19490018, 9919743, 386199, 26161693, 200028069, 9985536, 8362851, 36108440, 39668587, 98787651, 44689596, 134679481, 12349849, 2739906, 98960917, 116687584, 41380616, 26014536, 30257612, 45328380, 21139736, 74241463, 13802806, 160088764, 35165228, 14648640, 169384755, 35213388, 106226939, 148786637, 48164330, 180005608, 4770883, 31754918, 150476191, 94420609, 11128502, 72485040, 93385770, 4760458, 12467909, 207816422, 112535516, 142157452, 63193423, 29617518, 28496534, 68919732, 208980214, 24766906, 18570011, 6177372, 23974405, 122076125, 71967629, 52984891, 11347502, 28854300, 7492623, 77572742, 6362173, 15272083, 5229812, 189382203, 3374612, 310578, 32328827, 6496455, 22447868, 48659214, 64613109, 29603894, 10148911, 1030147, 94885601, 35164341, 85577886, 31533926, 20229549, 13104997, 31420260, 158340846, 77874438, 11685391, 40859971, 24346444, 31463377, 33357946, 54314133, 6464083, 64718535, 23136354, 75674130, 50635892, 41313697 ], [ 155654907, 23326966, 91521943, 157120283, 136245013, 7829423, 138825044, 80788306, 107707989, 78428230, 9610236, 74243328, 8799657, 75666424, 55628023, 13112516, 40855158, 83678490, 30168471, 12230160, 27516842, 8332123, 54507159, 18414844, 15072477, 46559750, 16674892, 37859035, 36979083, 9811063, 32318278, 30479417, 38842286, 86439671, 71929834, 22598478, 209660942, 61138003, 22981472, 155926951, 10758040, 23347262, 15665502, 44689596, 54873562, 23438502, 96064311, 52133253, 7675613, 754640, 2517725, 72386568, 15119195, 27442950, 23663798, 13802806, 55492492, 6044690, 177356704, 82513676, 10098227, 145666639, 46786037, 17215145, 28367226, 6975885, 16887464, 240974562, 63207243, 11128502, 72485040, 104722467, 26179740, 83174504, 56481889, 39739330, 62562768, 131638582, 39037931, 26225179, 72730439, 46523739, 51901850, 10058266, 12860701, 17492253, 56209145, 8502036, 52984891, 12742233, 93825582, 74765455, 29804875, 19222845, 107146911, 5229812, 49803073, 16829863, 13353701, 32328827, 22953946, 22447868, 12046729, 6438276, 51408379, 10148911, 1030147, 94885601, 35164341, 48503409, 8198026, 20569282, 34900327, 7233443, 39482815, 77874438, 35722298, 40859971, 24346444, 34438843, 43942944, 58363570, 62272162, 51851793, 102807686, 4957152, 91047311, 12517399 ], [ 155654907, 22529708, 20551867, 80487212, 84104608, 38081745, 81223123, 10728620, 40835386, 77985592, 31247957, 74243328, 8799657, 4089558, 7507939, 24380805, 7619152, 83678490, 36161704, 50058218, 29984501, 46042705, 50853259, 18414844, 25635310, 46559750, 236120968, 75872026, 8717402, 21147669, 145809542, 70712698, 111407, 19490018, 9919743, 45238411, 26161693, 192200873, 23580742, 94668052, 92260806, 39668587, 98787651, 44689596, 7150152, 64278868, 46963576, 62898838, 14468355, 34080952, 26014536, 35578335, 10411787, 67955405, 2738498, 29246001, 45905306, 7865970, 11163758, 53840424, 10098227, 41523007, 31201775, 40391733, 758187, 23458859, 112297180, 34199778, 30774527, 11128502, 9646689, 144190091, 115545454, 12467909, 55101405, 99667754, 24738173, 6856116, 36898656, 74104424, 9558235, 56751632, 24766906, 45077948, 23731864, 23136344, 21296331, 34969278, 47087107, 73828439, 28854300, 7492623, 44698146, 19222845, 23155834, 5229812, 49803073, 43573138, 8006431, 32328827, 28228216, 4281988, 64410245, 4432611, 36734763, 73761242, 25723507, 43313435, 35164341, 63829230, 201593157, 37299446, 34900327, 194919342, 14634462, 9524705, 11685391, 9219250, 39902837, 62274976, 43942944, 37823168, 6464083, 51246841, 97987349, 49757387, 17449903, 48652886 ], [ 14107149, 97085922, 10590528, 56381136, 129818506, 137611764, 81223123, 13114220, 107707989, 280269153, 111594686, 343617, 36234584, 15869554, 57273016, 12983464, 60646998, 113040363, 144845989, 56392526, 29984501, 83754180, 54507159, 34088334, 32404941, 21434280, 43683287, 31043805, 23647385, 21147669, 74831048, 70712698, 15376883, 19490018, 63821241, 90299454, 26161693, 64835390, 44363295, 94668052, 188043164, 124550739, 49392838, 107106667, 139480427, 5564078, 57948958, 100487077, 14468355, 58812563, 26014536, 3206680, 17070917, 28863318, 63048293, 10654555, 20975573, 6044690, 1757407, 189267697, 70494810, 49707186, 33395442, 15008321, 28367226, 23458859, 131606927, 14403749, 94420609, 11128502, 9646689, 108351686, 43998752, 12467909, 52949112, 26211148, 48982349, 182438260, 19353368, 11409806, 8213627, 176068714, 1575355, 152145799, 8841244, 23136344, 26321502, 140274264, 31459281, 57857736, 28854300, 435639, 53375586, 19222845, 20286424, 47942916, 29930575, 43573138, 18348193, 81208466, 111484488, 151466435, 64410245, 64613109, 36005513, 10148911, 100143768, 56759152, 35164341, 68911876, 31533926, 62371700, 93898343, 18098429, 126234196, 56451187, 14187457, 40859971, 60109008, 227634995, 22936501, 103627111, 4699304, 78707398, 177605361, 166270172, 50635892, 20569385 ], [ 367376430, 97085922, 38302858, 27899268, 84104608, 177622141, 81223123, 130453420, 11338106, 113450913, 33741451, 74243328, 84520594, 24910292, 57273016, 51959001, 18518610, 148363555, 49599018, 138673085, 29984501, 83754180, 36837645, 18414844, 8151623, 117016792, 16674892, 309829335, 4139590, 9811063, 13138471, 108535708, 92420806, 86439671, 419111635, 107832548, 145876117, 37857414, 142420183, 125118657, 147449404, 124550739, 149300197, 52181735, 251836186, 11684360, 166339803, 29722968, 119249522, 85786520, 26014536, 3206680, 6452645, 52772735, 62202479, 13802806, 16952720, 6044690, 25272896, 28456691, 96836464, 163526627, 33395442, 40661463, 28367226, 13514004, 20582211, 109722322, 50326426, 11128502, 86224, 56799848, 26179740, 60270550, 171939985, 51451846, 155820961, 7512679, 171294732, 7071017, 35219218, 99339, 54757914, 18570011, 287119130, 21484554, 122076125, 71967629, 94042713, 82618993, 191962791, 74765455, 138770330, 108569573, 117806464, 5229812, 50727531, 43573138, 13353701, 39331384, 16393146, 22447868, 64410245, 76427133, 12240544, 10148911, 139907106, 116476913, 35164341, 51277850, 31533926, 344513851, 143707618, 31420260, 251689160, 77874438, 123359600, 99116131, 24346444, 10979003, 146416411, 7595001, 307394726, 3201161, 225292686, 166270172, 54663602, 8385885 ], [ 367473503, 97085922, 14916627, 27543629, 25910147, 7829423, 477431059, 281574122, 425729419, 71013518, 96980276, 74243328, 435880839, 606489919, 185814105, 208575688, 123300023, 148363555, 145452590, 138673085, 274219147, 228296487, 54507159, 18414844, 79409986, 14229681, 202725313, 325756812, 67213595, 21147669, 216228118, 28857644, 130629805, 147692655, 93282730, 180270267, 85660278, 158777903, 209717285, 194479144, 188043164, 314545265, 49905013, 124972417, 239972320, 181581527, 188705538, 249979923, 331134396, 484486034, 26014536, 216103574, 111175371, 300704261, 98129014, 198091851, 837335, 71019915, 165347182, 95076704, 231539970, 163526627, 164243119, 23951579, 37868488, 24705124, 131606927, 569843022, 128749531, 11128502, 72485040, 282060259, 120799630, 18656646, 20588532, 27399712, 628882860, 301904985, 186835381, 167507113, 334235957, 156045941, 146665974, 290972619, 7835358, 33335863, 119891652, 143590005, 471625963, 164174615, 133304448, 17197063, 292764033, 19222845, 105264521, 44916132, 242640728, 37744264, 13353701, 258891626, 531771600, 79870237, 64410245, 167556001, 18629613, 880305879, 90517572, 291330493, 35164341, 26274145, 317568990, 344513851, 22799841, 6548385, 115069051, 77874438, 170080555, 271904454, 6375294, 184539001, 10094996, 67476139, 142662399, 78707398, 290902756, 74719192, 233926784, 158189237 ], [ 62890234, 109961653, 6486315, 453750, 78544871, 7829423, 378175832, 22401140, 90143157, 7538586, 150685462, 74243328, 1954083, 75666424, 23609316, 36452831, 76141940, 148363555, 296709549, 138673085, 512996, 46042705, 54507159, 34088334, 64327957, 228931740, 145738079, 325756812, 236553633, 21147669, 106663626, 118197882, 266716304, 84247488, 9919743, 22598478, 63096266, 35032502, 182399285, 194479144, 81951920, 39668587, 98787651, 124972417, 75524131, 10151165, 188673034, 145062040, 103442896, 89121664, 26014536, 392218202, 141616975, 49755262, 40154610, 482574559, 107804178, 137641894, 14648640, 186875839, 416883383, 97305873, 98219756, 48164330, 340498105, 152204219, 20582211, 83080557, 138470455, 11128502, 143262947, 118219789, 191896533, 234612416, 105449809, 116247650, 234830334, 382139250, 44841138, 152780222, 262056650, 51068483, 269567088, 140116245, 142116315, 8512282, 361247065, 143590005, 52984891, 128639937, 88056335, 7492623, 23401976, 23028410, 40352919, 95138900, 145117388, 43573138, 272014843, 14989155, 170441071, 292329429, 22173503, 28666453, 61706285, 11477436, 160122026, 291330493, 35164341, 13954865, 60158183, 142197665, 34900327, 174457815, 93419607, 2088346, 14187457, 53145246, 162226585, 51565532, 7805551, 510091584, 142662399, 78707398, 287596904, 246601677, 178619654, 158189237 ], [ 113659710, 62613208, 40672129, 17440484, 35043628, 56040570, 17837375, 13114220, 16919054, 15346345, 151853792, 69354034, 25445633, 42415656, 12525476, 18429975, 61210521, 136965930, 63585285, 138673085, 12504639, 82486154, 54507159, 6328438, 21710163, 3680525, 135812521, 19528142, 4139590, 9811063, 2500731, 30479417, 82189877, 2663105, 9919743, 22598478, 2170412, 56882824, 73889781, 109689335, 24602149, 9182292, 4073647, 44689596, 39598691, 8738751, 22487531, 159106323, 189080956, 212809955, 26014536, 1413392, 48107050, 21139736, 16043503, 13802806, 179471924, 23528046, 14648640, 14380892, 369515680, 74282043, 33395442, 36769191, 52931161, 23458859, 56732055, 9479419, 51700526, 11128502, 50948782, 93385770, 4760458, 28730007, 27303075, 43918661, 84274828, 31532024, 29617518, 19249411, 4722340, 47699390, 91978644, 52532089, 114894681, 20602218, 192082432, 92636672, 58627772, 5423530, 209686677, 5540355, 5096699, 2279026, 15272083, 12020287, 15522368, 403358, 8006431, 81208466, 30869059, 17008993, 21959126, 11582037, 2761457, 19909213, 50965003, 43313435, 35164341, 15566140, 250219154, 104218407, 49764966, 141929708, 296874181, 37966319, 14187457, 9219250, 479907, 51565532, 26010705, 4416646, 27074101, 27614505, 16686639, 130903321, 31793882, 6581764 ], [ 73278332, 25625237, 12633045, 53684186, 70390093, 7829423, 3430408, 87551311, 27084367, 16677736, 151853792, 55579375, 8799657, 13920403, 92079492, 15234823, 77804968, 28284355, 33323390, 19565881, 27516842, 194393506, 17511184, 9664467, 21710163, 23604150, 19916619, 37859035, 36979083, 9811063, 76739183, 48525486, 13192576, 528225, 9919743, 5820433, 47044212, 52916695, 16569881, 37153598, 11142073, 30771711, 46271218, 4866194, 39598691, 44822770, 155939818, 124994686, 27658597, 12276860, 2517725, 10030682, 28551907, 21778984, 65591013, 4666001, 31345457, 7865970, 148843, 82513676, 57666185, 108050910, 71071795, 4081438, 69230656, 24705124, 62960900, 20876282, 50568960, 11128502, 51283166, 41562746, 26179740, 12467909, 8301896, 28328164, 124765996, 31532024, 73599612, 28496534, 28649907, 73455007, 96843841, 23507974, 21738391, 23136344, 122076125, 8502036, 57137337, 18769655, 27460128, 7492623, 33739783, 2279026, 148702569, 56455325, 9904138, 43573138, 13353701, 30702354, 3152789, 15181059, 38227043, 15381447, 22069770, 16293796, 55671412, 129696179, 25598930, 105151201, 31533926, 16284884, 69478756, 7233443, 82942956, 9524705, 14187457, 33398595, 24346444, 11520981, 10094996, 67476139, 6464083, 35781802, 37146098, 43081569, 56960940, 41313697 ], [ 24568957, 56204580, 13184479, 5734585, 37182039, 7829423, 157367015, 13114220, 11568794, 233495439, 77082400, 34518685, 8799657, 43984272, 19807975, 4605955, 18518610, 35103738, 36393602, 56392526, 63525171, 7191698, 54507159, 18414844, 8151623, 42722652, 132034740, 46274253, 4139590, 9811063, 182484876, 1452202, 130629805, 53230853, 9919743, 22598478, 28888652, 125350875, 170600139, 101321538, 168537455, 124550739, 20307283, 116766531, 24839774, 72681927, 46963576, 5528881, 14335983, 28824653, 68694705, 35578335, 12789386, 18812732, 19533364, 10654555, 37678945, 7865970, 14648640, 33823205, 38691512, 14572170, 4897259, 48164330, 14845455, 24705124, 2235822, 3749884, 15266253, 11128502, 22704879, 34171331, 22043177, 30769912, 20588532, 29962433, 71512655, 25014687, 22736535, 12573529, 8213627, 73455007, 24766906, 52532089, 36497374, 9700473, 38520287, 45723755, 19474049, 25975948, 191962791, 7492623, 92676371, 19222845, 103895466, 141875621, 90660987, 43573138, 13353701, 1381698, 108937327, 20750624, 16709079, 28666453, 54817327, 112277713, 14934828, 22032512, 35164341, 150771912, 31533926, 64811860, 93898343, 52840741, 7083149, 9524705, 14187457, 9219250, 24346444, 51565532, 88221300, 34677515, 13234703, 76733489, 28528728, 82032473, 31793882, 82023210 ], [ 50473785, 57039516, 24246972, 154482343, 122736996, 33473604, 9546680, 10728620, 47429823, 71013518, 67374390, 17470031, 31138895, 75666424, 92079492, 117797821, 40855158, 2687185, 167038834, 305468194, 3170646, 46042705, 54507159, 18414844, 79409986, 42722652, 235317960, 325756812, 10837950, 17592552, 145809542, 70712698, 130629805, 19490018, 9919743, 22598478, 85660278, 146084899, 23580742, 109689335, 188043164, 39668587, 98787651, 44689596, 140293622, 181581527, 46963576, 145062040, 58222733, 41380616, 347530684, 3206680, 111869230, 211551143, 74241463, 66240551, 69399563, 66324518, 14648640, 89012285, 39023430, 146962618, 43978709, 48164330, 211081391, 23458859, 131606927, 49338981, 94420609, 11128502, 72485040, 137989393, 104330210, 12467909, 20588532, 29962433, 142157452, 193123575, 49381587, 74104424, 95637375, 217627588, 24766906, 104151931, 48897944, 23136344, 42278587, 34969278, 52984891, 73828439, 28854300, 7492623, 77572742, 19222845, 264493512, 439243306, 157134313, 43573138, 8006431, 32328827, 156622523, 28210224, 64410245, 88710090, 65375189, 246766272, 19570961, 43313435, 26093144, 47500651, 31533926, 18668880, 15506915, 259420844, 240354627, 77874438, 11685391, 9219250, 162226585, 51565532, 10094996, 76350134, 6464083, 226294482, 127778075, 142619239, 13486249, 50363342 ], [ 24568957, 22529708, 40672129, 53684186, 56525736, 7829423, 40798206, 63191926, 47429823, 22783534, 15416588, 34518685, 11149442, 29888653, 57273016, 13112516, 31779127, 49003166, 29787733, 28941804, 29984501, 6747583, 52292132, 6522511, 33926751, 42722652, 17558543, 1304284, 24621101, 9811063, 14630227, 29057547, 5909220, 3345264, 9919743, 22598478, 28888652, 27492701, 58347541, 29478518, 11142073, 30771711, 15514669, 1004199, 39598691, 92691144, 22487531, 71391622, 60031440, 22151467, 26014536, 3206680, 24286397, 28922729, 62212096, 13802806, 26847428, 63465833, 14648640, 33823205, 24150046, 133044281, 33395442, 15008321, 1047396, 6975885, 31754918, 11729070, 7445093, 8937545, 35910822, 104722467, 26179740, 97447020, 117191770, 17535400, 142157452, 29415636, 10845223, 82214090, 144643058, 19618925, 24766906, 52532089, 33774110, 23136344, 47933954, 32438638, 39498949, 15850384, 146332540, 7492623, 82716240, 2279026, 21436866, 5229812, 29930575, 20082573, 17408166, 3962925, 22953946, 22447868, 64410245, 132992065, 165357810, 5937249, 47583747, 7056005, 35164341, 51934495, 31533926, 103316193, 34900327, 75091584, 18536420, 30217700, 3207842, 9219250, 24346444, 11442245, 32182005, 36683948, 10364232, 35335042, 64797412, 49757387, 31793882, 12517399 ], [ 155654907, 75324996, 89812454, 36952558, 33277103, 7829423, 13912681, 92093921, 11338106, 6475993, 4702685, 48301511, 8799657, 19194131, 57273016, 71614902, 13588698, 44778422, 5312691, 91072366, 1887686, 55711377, 48133062, 5029137, 8151623, 24683476, 8025753, 85480702, 4139590, 5485182, 90105736, 70712698, 61005189, 6957138, 9919743, 22598478, 28888652, 198624671, 110155120, 109689335, 85422202, 9182292, 74289607, 102980519, 105743428, 76665167, 218413532, 33027000, 230422391, 52133795, 27794976, 3206680, 12789386, 11660676, 17366602, 52315371, 42237439, 7865970, 14648640, 66080286, 3042389, 116401446, 59816889, 16204944, 146000010, 8767110, 20160336, 107369238, 50326426, 11128502, 109538670, 47626225, 4760458, 12467909, 20588532, 94579031, 84274828, 62078491, 95255415, 11409806, 72730439, 629887, 54757914, 17277866, 12184028, 23082340, 122076125, 31097049, 63803480, 6139209, 28854300, 7492623, 8702321, 3742469, 79091183, 4355076, 9904138, 15323433, 310578, 30702354, 3152789, 75417389, 64410245, 28107, 108013928, 10148911, 112811634, 101065, 35164341, 81933308, 31533926, 35473449, 1250663, 31420260, 44717583, 71561743, 14187457, 9219250, 10387097, 51565532, 118722208, 14569521, 4699304, 78707398, 208043842, 58947760, 16026912, 8385885 ], [ 50473785, 83328899, 91521943, 295748920, 136245013, 7829423, 9546680, 44996736, 136976067, 14650532, 151853792, 74243328, 25445633, 75666424, 107427852, 117797821, 124340353, 69607594, 67004930, 138673085, 17088587, 8026913, 54507159, 84801991, 1830157, 147873168, 202725313, 8874972, 4139590, 21147669, 33422527, 94730687, 130629805, 194001033, 9919743, 22598478, 28888652, 261723610, 20088130, 48807174, 77659118, 100377335, 49392838, 744442, 107877929, 122235748, 172487214, 30898170, 102949115, 147982748, 26014536, 38680821, 148348715, 71816295, 47110452, 13555269, 179471924, 71019915, 1757407, 54620530, 64474081, 4638250, 38504136, 18615277, 25872681, 123772041, 69275328, 3498867, 36603489, 11128502, 127216809, 65611756, 119224033, 60270550, 207816422, 116247650, 39107390, 4232416, 29617518, 19249411, 76332171, 156045941, 1575355, 67445397, 32908317, 169104979, 143989921, 125779475, 35901352, 53672825, 142284667, 7492623, 29804875, 19222845, 15272083, 65146730, 11549087, 16829863, 93648340, 59004898, 3152789, 28210224, 48659214, 31086683, 65375189, 75120033, 2867946, 8055827, 24370742, 85577886, 191162870, 152283894, 108892514, 18098429, 162901039, 68774740, 18317822, 9219250, 65373577, 34438843, 69239673, 22604844, 12531957, 4241466, 12114064, 235151078, 54663602, 34869378 ], [ 36165227, 60070110, 7062885, 53684186, 102196809, 7829423, 29738778, 55032171, 51614798, 143452297, 69958015, 20146360, 8799657, 38463013, 35881504, 15234823, 73125700, 68034104, 51287163, 56392526, 1887686, 46042705, 54507159, 6328438, 101437440, 43176167, 25770133, 37859035, 4139590, 9811063, 14630227, 118197882, 6195173, 187451739, 9919743, 41163899, 27876353, 94242466, 142420183, 64448995, 108687630, 39668587, 42066936, 102980519, 39598691, 61077910, 22487531, 5528881, 28375916, 4933831, 26014536, 3206680, 103574306, 67955405, 39497892, 13802806, 48212736, 7865970, 14648640, 9555816, 24150046, 11786542, 33395442, 5934068, 93829907, 96889149, 22249452, 3934247, 111909773, 11128502, 22704879, 30023392, 26179740, 28358421, 1984963, 43492965, 12610962, 97048183, 14195421, 19249411, 71257297, 83560842, 66827026, 17277866, 42126297, 23136344, 48570306, 125779475, 35901352, 53672825, 110763008, 7492623, 34547151, 19222845, 15272083, 4355076, 44055985, 43573138, 30541194, 19576989, 6565837, 22447868, 48659214, 8175315, 55931818, 41941887, 19445026, 43313435, 27649900, 94194490, 60511220, 104218407, 42207456, 133955659, 8717165, 77874438, 14187457, 9219250, 10387097, 83135938, 74399962, 3865391, 56986385, 40657849, 27552016, 61348270, 39011870, 37390572 ], [ 24568957, 13262061, 74388759, 74511019, 102667991, 7829423, 108092179, 10728620, 25044537, 77985592, 42493755, 13294880, 45110786, 65401774, 140952455, 41196134, 18518610, 43452128, 7011872, 56392526, 69861726, 46042705, 25690881, 18414844, 8151623, 21434280, 7304708, 31043805, 4139590, 6847388, 145809542, 48525486, 6963277, 22860772, 57270658, 36940399, 28888652, 66658108, 23580742, 37153598, 85422202, 39668587, 74289607, 44689596, 1282206, 10151165, 3845291, 5528881, 84387194, 49882510, 114765937, 44936955, 12789386, 35303013, 17366602, 10654555, 145682900, 57345974, 27718653, 21392781, 10098227, 95481068, 43873508, 4471038, 180005608, 23458859, 107754139, 20876282, 50326426, 11128502, 22704879, 154347737, 2585693, 28730007, 20588532, 73276537, 59179633, 182438260, 36898656, 19249411, 51363241, 19213264, 24766906, 1386123, 68737114, 23136344, 25127691, 14290980, 48669013, 11347502, 7903880, 111189154, 23401976, 19222845, 25784813, 104997302, 64182862, 43573138, 13353701, 26752521, 3152789, 22447868, 22173503, 8569778, 33790723, 8545819, 118407478, 185295986, 35164341, 57578459, 31533926, 18245555, 34900327, 31420260, 49946767, 54020692, 8289124, 1529333, 678656, 10524672, 7805551, 58363570, 5232918, 8230334, 77755570, 140747805, 30919033, 28837285 ], [ 4205237, 37850569, 91521943, 74511019, 36083107, 7829423, 15049875, 10076944, 47429823, 200107118, 31583567, 17470031, 84520594, 177384777, 27208419, 41196134, 18518610, 44778422, 116031173, 88379036, 27516842, 18110608, 52292132, 18414844, 8151623, 451836, 17558543, 31258828, 4139590, 9811063, 41359408, 30479417, 37924836, 22860772, 26806360, 100200947, 37182016, 11901413, 23580742, 36700884, 29972900, 19994467, 74289607, 744442, 120275666, 10151165, 18328473, 5528881, 55947330, 49882510, 26014536, 3206680, 12789386, 11660676, 74241463, 10654555, 35268050, 57345974, 14648640, 189267697, 64474081, 14572170, 26754289, 18920201, 41662013, 24705124, 2235822, 12512447, 7052079, 11128502, 9646689, 30344965, 26179740, 8095366, 6876818, 76258876, 39107390, 71500726, 79283957, 12573529, 68919732, 30477930, 24766906, 23507974, 48897944, 23136344, 122076125, 17911364, 23393398, 36318557, 58078782, 10907665, 17049686, 115072, 15727200, 2256627, 9904138, 43573138, 13353701, 30702354, 66372518, 22447868, 22173503, 8569778, 2761457, 58750248, 78121000, 13417031, 20541419, 48503409, 8198026, 104218407, 8225760, 31420260, 69246407, 34240579, 14187457, 9219250, 24346444, 22717768, 7805551, 4409023, 42882095, 26344521, 2744009, 43081569, 33560528, 1874763 ], [ 167708959, 13262061, 74388759, 218893519, 136245013, 7829423, 81223123, 13114220, 107707989, 108619262, 20364062, 28429720, 31138895, 13920403, 23609316, 52256993, 21648735, 124558040, 104293349, 131129715, 29984501, 88262117, 54507159, 34088334, 101437440, 21434280, 200162917, 31043805, 36979083, 9811063, 161280117, 70712698, 130629805, 15607790, 9919743, 47134803, 28888652, 192200873, 217041723, 179805155, 168537455, 92862550, 98787651, 58135711, 20220556, 12150853, 178914273, 33600193, 84387194, 41380616, 19779246, 3206680, 51243350, 21139736, 85442122, 13802806, 107804178, 47929753, 11163758, 123626732, 114983450, 35379752, 33395442, 57173112, 252395890, 81564991, 110304335, 14403749, 94420609, 11128502, 9646689, 220884734, 26179740, 11856924, 20588532, 116247650, 301367407, 150371670, 24397799, 167507113, 8213627, 73455007, 308634883, 90795094, 57257246, 23136344, 25127691, 65859679, 79455945, 12571273, 1357031, 7492623, 44698146, 19222845, 103895466, 5229812, 242640728, 3374612, 272014843, 91173177, 138193814, 6227883, 64410245, 15381447, 98521961, 77268489, 116390549, 94885601, 35164341, 57578459, 26595740, 51741633, 108892514, 174457815, 107114597, 9524705, 11685391, 9660737, 24346444, 60769819, 113865562, 54314133, 6464083, 78707398, 78900336, 86094549, 68038574, 158189237 ], [ 150014733, 13262061, 91521943, 85872254, 12984759, 7829423, 81223123, 67955476, 262702875, 77985592, 6003605, 28429720, 40131892, 152351502, 135399006, 97040366, 29006235, 27046404, 14248063, 246566423, 29984501, 8026913, 52292132, 18414844, 166845282, 21434280, 17558543, 84392346, 4139590, 21147669, 52161638, 48525486, 130629805, 9709645, 62796353, 151089342, 28888652, 16217117, 213806495, 36700884, 168537455, 30771711, 121474042, 44689596, 25020292, 5564078, 22487531, 209392443, 24114525, 754640, 50308721, 56051631, 98355276, 52772735, 63048293, 50036486, 118894162, 195371164, 14648640, 54620530, 90455863, 103680167, 33395442, 15008321, 109739542, 23458859, 131606927, 56455988, 106203847, 11128502, 72485040, 93385770, 4760458, 60270550, 20588532, 116247650, 24738173, 276211583, 95255415, 19249411, 72730439, 629887, 54757914, 23507974, 8841244, 23974405, 35787454, 65859679, 94042713, 12571273, 1357031, 162773990, 51111256, 341558675, 20286424, 121412622, 113461032, 3374612, 13353701, 81208466, 70544793, 45232064, 64410245, 59819784, 208264409, 77268489, 118407478, 43313435, 35164341, 135943462, 26595740, 246528365, 12638436, 31420260, 144199753, 77874438, 14187457, 9219250, 62856254, 62274976, 4108592, 67476139, 42882095, 78707398, 128242654, 263569196, 54663602, 41313697 ], [ 36165227, 52658911, 91521943, 75115699, 1259187, 109024477, 173796910, 117250155, 47429823, 360690538, 98286111, 57464752, 71615469, 62120632, 15046430, 13112516, 73125700, 207270093, 600184003, 200536846, 157233418, 79644945, 54507159, 34088334, 84389921, 47168326, 70770936, 125387079, 85855441, 21147669, 182484876, 197516758, 130629805, 552131418, 9919743, 51841478, 3361707, 3191968, 175189494, 331955929, 59890803, 153799468, 98787651, 45720995, 133202078, 126088946, 22176405, 30898170, 515045999, 54615929, 196678114, 136821773, 105667647, 211551143, 74241463, 567472003, 48212736, 21699071, 198937310, 278995217, 2470016, 162877139, 79619064, 441068465, 745699, 139221672, 131606927, 46401810, 147079068, 291665744, 142209733, 72096919, 111299967, 28358421, 159638628, 8928777, 138557598, 44576752, 44841138, 108979105, 40305110, 51068483, 24766906, 317103196, 181297948, 23136344, 44128039, 143492509, 74453127, 289495634, 91110175, 7492623, 189990730, 105475496, 751588, 135808020, 198827950, 25969571, 110766261, 313584214, 22953946, 79870237, 75648282, 112236543, 18629613, 246766272, 98755393, 30623069, 35164341, 84812917, 364340403, 152283894, 91602402, 410883613, 126226810, 77874438, 123359600, 33512734, 155163892, 94962878, 160831789, 67476139, 215891480, 78707398, 208152500, 20632648, 21671778, 12517399 ], [ 24568957, 24126196, 91674554, 68786783, 9099648, 7829423, 10308071, 114864725, 47429823, 71013518, 20318096, 39101763, 272546140, 61896739, 41837163, 71614902, 104089496, 44778422, 23585327, 98680783, 96953758, 24823137, 54507159, 34088334, 43722381, 47168326, 22853199, 15377127, 36979083, 9811063, 61834976, 28857644, 17863755, 104929853, 62623214, 180270267, 85660278, 149025942, 133180199, 37153598, 85422202, 142098522, 33901887, 112707205, 112968001, 35540367, 46963576, 30193098, 114852180, 2414303, 26014536, 87331021, 82749098, 28922729, 17366602, 13802806, 61386346, 69012272, 14648640, 70766051, 192253808, 97305873, 13560067, 6921616, 139566993, 23458859, 59060679, 3934247, 9998005, 11128502, 73651222, 57092899, 26179740, 51298002, 20588532, 79814793, 142157452, 44576752, 10845223, 77546888, 35948279, 46794002, 24766906, 45077948, 29354841, 9700473, 136610910, 134879259, 151560351, 37437763, 65807473, 17197063, 189200524, 19222845, 15727200, 26346947, 2837940, 43573138, 74762019, 3962925, 72396898, 18700644, 64410245, 28666453, 18629613, 60881301, 134542563, 5140223, 35164341, 914881, 50588169, 121005025, 22799841, 68359705, 59576167, 77874438, 14187457, 159207026, 24346444, 25528122, 10094996, 2485405, 85358323, 78707398, 37146098, 40302520, 33579362, 10498243 ], [ 407326892, 201959230, 113505080, 80487212, 15700007, 92795493, 123781816, 37137181, 396240129, 45908434, 230983256, 11885873, 71615469, 162498013, 54241451, 106323088, 209462857, 208299060, 421294378, 66923387, 114296673, 46042705, 54507159, 34088334, 116257715, 360451481, 126106021, 11659241, 85673659, 306351535, 172171521, 242606352, 187272298, 232154268, 9919743, 122043071, 15948992, 844373787, 131021875, 101321538, 242195881, 39668587, 98787651, 124972417, 239972320, 72681927, 5568117, 145062040, 158281515, 29578347, 293181295, 20467790, 180697813, 116550775, 98129014, 361027347, 179471924, 214190629, 14648640, 4055817, 20121294, 126859771, 164139678, 47980771, 667645290, 298646644, 26030485, 517946942, 50720428, 11128502, 142209733, 154347737, 296387414, 76253883, 352768822, 52102093, 121911855, 357515551, 95255415, 220942899, 277526759, 15992838, 93224471, 356245210, 693717463, 23136344, 551910426, 70540554, 52984891, 148005474, 207822577, 7492623, 165173813, 19222845, 751588, 120188734, 309476400, 43573138, 144469219, 32328827, 34359208, 7633770, 64410245, 31264582, 18834572, 27591677, 199862064, 125619365, 326363072, 84812917, 66427190, 35473449, 108892514, 30976493, 60708013, 23804545, 14187457, 634754125, 155163892, 94962878, 105648214, 13363254, 354227930, 166159784, 196766154, 84347372, 21671778, 79179583 ], [ 81365832, 97067234, 57791115, 226276776, 1021516, 753563, 5481880, 20232614, 11338106, 40731329, 33741451, 74243328, 11184496, 43984272, 55628023, 21034128, 35576948, 21131625, 54252897, 7746017, 1347437, 7188742, 8824962, 34088334, 48635194, 102107119, 81780570, 46274253, 4139590, 9811063, 12756087, 29057547, 92420806, 40065399, 9919743, 22598478, 89979232, 13704278, 25916821, 48807174, 11142073, 82713951, 98787651, 744442, 36203442, 8738751, 123626785, 145062040, 117862116, 85786520, 26014536, 38680821, 51243350, 239658642, 84521005, 13802806, 19594764, 6088663, 11163758, 47555846, 14620909, 159461319, 32921152, 36769191, 34247476, 6378140, 110304335, 11729070, 41896113, 8937545, 109538670, 2125718, 2585693, 60270550, 321253, 133069946, 23737771, 106908077, 36898656, 19249411, 52527828, 19618925, 40525522, 61282264, 32908317, 23136344, 47933954, 127130121, 74453127, 73828439, 66972543, 7492623, 8702321, 16402299, 68169066, 5232805, 45218062, 15323433, 46178442, 34787540, 13111456, 22447868, 48659214, 77347714, 21421623, 112277713, 102658799, 90359348, 1774901, 51464801, 31533926, 18245555, 42463459, 62427953, 10681347, 21120945, 45681510, 135279616, 19888394, 11442245, 43942944, 67476139, 85358323, 1045278, 72460650, 144915952, 54663602, 8385885 ], [ 84401073, 13262061, 24702189, 52262630, 130060920, 88259316, 24958943, 716970, 1554397, 22783534, 56199017, 56372646, 31938447, 174118816, 57273016, 41574475, 21894805, 12329892, 51287163, 12230160, 29984501, 145583478, 54507159, 34088334, 52453465, 18166776, 1271261, 20196940, 4139590, 9811063, 22786608, 16273457, 92420806, 108325032, 42529533, 83402809, 3361707, 50352180, 16569881, 3349183, 36774646, 74514401, 56082006, 79043073, 3538355, 18939602, 22487531, 4643307, 36574626, 33652158, 26014536, 33810309, 7060369, 67955405, 5206059, 13802806, 16762983, 111471997, 86434475, 17090967, 35055757, 163526627, 25012785, 74046888, 102837204, 137077539, 73250709, 5224622, 16242110, 11128502, 94932526, 2125718, 26179740, 6787830, 7806753, 57548274, 687837, 50344569, 10845223, 19249411, 76332171, 629887, 5826010, 12665720, 25980574, 12526600, 47933954, 82443522, 20337306, 20315466, 191962791, 35888054, 33739783, 4144297, 97838497, 5129446, 74196242, 10745891, 196359305, 63858491, 61104428, 22447868, 48659214, 132992065, 58610343, 58838564, 1436212, 30623069, 35164341, 6356641, 31533926, 19797370, 120400102, 97878312, 22984477, 162911, 9457991, 134045925, 24346444, 11442245, 22936501, 23369540, 1761793, 67371950, 82142274, 62520355, 11173965, 8385885 ], [ 14107149, 97085922, 761466, 14325490, 136245013, 39232443, 11334436, 10728620, 11338106, 75644529, 13980105, 12235856, 86848865, 105161936, 135892292, 18429975, 76141940, 78537317, 21654249, 56564941, 89361059, 145340171, 43723709, 34088334, 15072477, 3571107, 22853199, 46274253, 36979083, 1185873, 33422527, 1452202, 82390790, 103716003, 116733913, 26992503, 110448611, 6584236, 9985536, 34063333, 107226695, 19494935, 42716712, 81095036, 7150152, 10151165, 8155556, 82010730, 28791263, 31194521, 26014536, 2254545, 109258631, 13392175, 23663798, 10654555, 16762983, 5098092, 38478205, 32940326, 43117440, 49707186, 43873508, 11946234, 14845455, 4770883, 61880264, 20876282, 1713226, 11128502, 25442582, 40700167, 9399131, 6787830, 105449809, 157043154, 3490129, 31532024, 110496977, 14443278, 70737589, 10158467, 1743522, 45077948, 48737309, 23136344, 105651988, 16180569, 47087107, 18995160, 7194423, 8231472, 23401976, 19222845, 20286424, 5229812, 16537407, 43573138, 26411500, 2717911, 24868546, 15569374, 12046729, 120276192, 15798931, 18913367, 113204229, 34281400, 19345093, 94194490, 26239899, 27787531, 17980645, 30615961, 81054382, 801913, 9457991, 135279616, 24346444, 11520981, 7805551, 20750769, 13234703, 133402465, 64055376, 13982955, 30919033, 4643354 ], [ 121536757, 13262061, 91521943, 43872504, 136245013, 7829423, 81223123, 212672430, 5863279, 65661324, 119367130, 74243328, 31938447, 241630593, 82691050, 97040366, 35635354, 94224087, 314390843, 12230160, 29984501, 66223794, 54507159, 117605892, 14533353, 27547105, 81780570, 110800855, 70403554, 21147669, 72770174, 16273457, 13784895, 19490018, 9919743, 47921627, 95550429, 81995761, 87650934, 1129683, 37678536, 7880028, 98787651, 124972417, 39853586, 7659863, 10632330, 18605987, 9882500, 7487418, 26014536, 33810309, 51243350, 24024281, 45390288, 86751626, 16762983, 183095387, 11163758, 159317151, 294334861, 73816208, 10055390, 15008321, 64339323, 121620410, 57218774, 4267729, 16242110, 11128502, 59252576, 305946519, 2585693, 12467909, 93276477, 34099829, 194068910, 91558208, 12464997, 47797032, 77230410, 71414976, 40525522, 12665720, 138639582, 57343845, 75813684, 143590005, 75629363, 73828439, 28854300, 7492623, 82716240, 19222845, 182230450, 5229812, 242640728, 43573138, 22317967, 13411347, 25234297, 23230623, 64410245, 105903689, 65474994, 58838564, 2331077, 63785001, 60066507, 17299405, 31533926, 18245555, 108892514, 2587839, 8410505, 26394224, 221657, 135279616, 39902837, 32010350, 53923074, 160947918, 6464083, 55936916, 43305640, 166270172, 54866235, 6315096 ], [ 21099324, 97085922, 74998691, 52262630, 136245013, 753563, 55282321, 9575149, 11338106, 62138522, 92791342, 48465822, 8799657, 145793546, 158400244, 34146926, 18518610, 4769597, 31897345, 78518123, 38338884, 171774177, 54507159, 34088334, 8151623, 43176167, 58205030, 46274253, 15008200, 123051586, 90105736, 10587239, 92420806, 19490018, 9919743, 27165308, 49746869, 33093107, 9985536, 21871514, 29941263, 43826980, 56082006, 124972417, 239972320, 7659863, 81676722, 33815327, 40875768, 40118035, 26014536, 36602426, 12789386, 40483040, 59857663, 34775875, 16762983, 4032109, 66967279, 9555816, 43117440, 55348376, 43873508, 15008321, 23182152, 4770883, 76549229, 20876282, 16242110, 11128502, 38757949, 15097661, 104330210, 12467909, 93276477, 49951593, 23737771, 31134821, 36124011, 19699909, 95143630, 10632238, 20229254, 21883622, 179025758, 23136344, 11094907, 42591551, 111240981, 73828439, 1514068, 7492623, 123207513, 19222845, 206133069, 1468993, 49803073, 43573138, 36576842, 27267865, 121267788, 79870237, 21893811, 75270417, 21421623, 30180049, 28789537, 43313435, 14883845, 10655704, 19902972, 82340283, 17980645, 30615961, 27117458, 3516097, 9457991, 9219250, 25620397, 74270278, 10094996, 67476139, 6464083, 12523246, 26019715, 51706520, 171003013, 8385885 ], [ 87110363, 13262061, 40672129, 39837344, 22315045, 753563, 13110491, 10728620, 47429823, 43540580, 119367130, 878986, 71615469, 43984272, 135892292, 3655378, 7619152, 33465489, 51287163, 97234121, 29984501, 46042705, 52292132, 34088334, 8151623, 43176167, 17558543, 30137515, 11384301, 21147669, 49117679, 16273457, 111546882, 87555067, 9919743, 22598478, 122829624, 74438940, 562100, 26723723, 36108440, 39668587, 5403274, 107806842, 39853586, 5564078, 46963576, 37415605, 27022218, 40118035, 26014536, 10030682, 1400950, 21139736, 74241463, 55156742, 16762983, 2256439, 129080427, 47555846, 58985322, 22841696, 33395442, 32744536, 758187, 32146871, 105534771, 20876282, 13933753, 11128502, 94932526, 104722467, 2585693, 1248329, 46799458, 99069269, 48982349, 22766061, 19353368, 11209908, 66369083, 16004079, 24766906, 73441397, 5633180, 15075979, 47933954, 69289685, 52984891, 179455, 119485024, 7492623, 53375586, 19222845, 43422456, 5229812, 11867819, 43573138, 58607856, 7670452, 207298763, 13573695, 21893811, 114835017, 29603894, 16293796, 1436212, 238510339, 35164341, 94194490, 31533926, 18245555, 34900327, 75222315, 43036461, 37966319, 221657, 16739323, 39902837, 11442245, 16836987, 54314133, 43345332, 33227700, 133595443, 51706520, 57156642, 158189237 ], [ 14107149, 97085922, 55072066, 27543629, 32473899, 7829423, 81223123, 18434910, 5863279, 26310677, 11921283, 39101763, 56211229, 75666424, 4001493, 18429975, 40855158, 44778422, 87303056, 56323737, 1887686, 110252415, 54507159, 34088334, 21710163, 2163028, 1271261, 46274253, 4139590, 9811063, 25059483, 9378073, 81851538, 16103154, 61905387, 22598478, 14451065, 13207347, 44363295, 2472168, 22800162, 7880028, 21989595, 52687771, 7150152, 12349849, 3930351, 177545, 28791263, 45529521, 26014536, 2254545, 51243350, 63270843, 56310940, 8773975, 19417639, 10537101, 11163758, 37535908, 64474081, 22146385, 33395442, 11946234, 6072719, 6975885, 22249452, 313465, 10875213, 11128502, 10936162, 95555113, 11296854, 12467909, 51870196, 286933, 687837, 31134821, 48237347, 19249411, 76332171, 19618925, 20519188, 12665720, 6988186, 7244825, 47933954, 65859679, 36523646, 5611998, 22224999, 7522474, 8702321, 19222845, 26139271, 10775889, 9904138, 15323433, 18524312, 30702354, 24749793, 22447868, 48659214, 75270417, 1845621, 16293796, 16100879, 43313435, 35164341, 10655704, 30781213, 32361956, 5394529, 9454518, 39482815, 12788432, 14187457, 9219250, 10387097, 11442245, 19660948, 14474442, 6464083, 4034821, 27533801, 143613442, 38971413, 8385885 ], [ 121536757, 2774279, 25644859, 26799884, 128785663, 7829423, 62143838, 24077093, 5001174, 6475993, 9863234, 40028156, 16011832, 69439694, 57273016, 39070086, 39440401, 19200050, 5312691, 22579370, 1347437, 83754180, 5636301, 9683852, 21710163, 3571107, 26468430, 13599704, 4139590, 9811063, 14630227, 16273457, 92420806, 86439671, 29515582, 22598478, 85660278, 13207347, 48064571, 37153598, 77659118, 4786220, 56082006, 124972417, 81956971, 5564078, 46963576, 57322508, 36574626, 40118035, 26014536, 2254545, 39083501, 24471481, 17366602, 10654555, 16762983, 2256439, 44920974, 18311866, 22664735, 48754079, 33395442, 29805853, 15229800, 8767110, 30054313, 20876282, 158975681, 1074166, 53990024, 57092899, 26179740, 1248329, 20588532, 93570891, 42688428, 69473320, 43116733, 19249411, 76332171, 8458128, 9806549, 33996742, 8841244, 23136344, 20938432, 18384142, 1725669, 10208794, 164959457, 15589574, 23401976, 19222845, 28048943, 5229812, 9904138, 12123796, 10581696, 22332717, 77888612, 22447868, 22173503, 18143679, 108013928, 10148911, 39367830, 32720810, 35164341, 94194490, 22496294, 197460467, 5394529, 6897509, 43036461, 50440259, 4285659, 9219250, 24346444, 11442245, 1733689, 15816928, 20856392, 20809248, 55262214, 49757387, 54663602, 8385885 ], [ 121536757, 16422539, 57791115, 117514230, 136245013, 7829423, 81223123, 2963064, 11338106, 47317712, 122454512, 878986, 71615469, 174118816, 31059935, 18429975, 35576948, 21131625, 16111413, 15412135, 1347437, 183131299, 54507159, 34088334, 82651036, 14229681, 8215925, 1689339, 4139590, 9811063, 2802424, 16273457, 33744510, 6952233, 9919743, 100200947, 51799349, 13207347, 48064571, 109689335, 103574245, 115658817, 98787651, 124972417, 102532329, 5564078, 22487531, 18320508, 36574626, 13970478, 6266940, 2254545, 51243350, 21139736, 59857663, 13802806, 16762983, 51996966, 11163758, 9555816, 64474081, 134553431, 32921152, 24795373, 65267776, 32146871, 116237127, 12512447, 15266253, 11128502, 24161176, 2125718, 5671570, 23605154, 20588532, 49951593, 6162143, 176216109, 55112342, 19249411, 76332171, 10632238, 48481478, 159742139, 8841244, 23136344, 47933954, 78549537, 19474049, 35660172, 46917729, 7492623, 2224546, 19222845, 15727200, 5229812, 61812224, 43573138, 8136141, 6497371, 207298763, 22447868, 48659214, 71066215, 1256910, 5937249, 30097089, 21571738, 19345093, 68911876, 31533926, 21845061, 18456804, 73461231, 7083149, 3516097, 9457991, 9219250, 24346444, 11442245, 84041842, 31988524, 41545619, 4241466, 209741940, 83559896, 30919033, 8385885 ], [ 81768555, 6855765, 43139594, 20870230, 25910147, 102490783, 139729802, 76102808, 47429823, 71013518, 113676214, 58141178, 1954083, 6271327, 53878975, 75271327, 35635354, 109218945, 6239508, 167491587, 96953758, 91967100, 7097485, 40505390, 79409986, 43176167, 5099442, 10075578, 10837950, 21147669, 3661179, 48525486, 168067667, 30705108, 112333374, 100116263, 85660278, 9288770, 189868541, 173675193, 112270271, 2773856, 48059919, 124972417, 33962363, 5564078, 46963576, 28538266, 101150932, 147982748, 14745116, 86665551, 15119195, 102121459, 17909896, 13066512, 92208741, 84306054, 66967279, 95374567, 52268891, 39487969, 33225134, 72803949, 76496025, 51402350, 8479096, 57702952, 69539631, 11128502, 65080746, 6038789, 31083251, 29906780, 20588532, 144098951, 48982349, 6429636, 20106410, 64889486, 76332171, 121529825, 8194981, 12633242, 8841244, 73523227, 4107205, 124115143, 290316344, 5362144, 66873785, 91076460, 6532860, 19222845, 9662602, 194822989, 47946239, 5567090, 22290151, 67418016, 6496455, 6227883, 64410245, 2842731, 18629613, 85782824, 92336986, 6373325, 35164341, 116167640, 120725979, 31595333, 238692196, 70427007, 9094170, 4371, 14711515, 105982315, 131403842, 90507478, 10094996, 76350134, 61771202, 62255495, 11770568, 21819546, 107791753, 54727878 ], [ 24358584, 22529708, 60354414, 20870230, 33277103, 7829423, 177347773, 92093921, 15538033, 293312077, 33741451, 17470031, 89693520, 75666424, 49479910, 189182936, 7619152, 95068538, 51287163, 56718473, 34747054, 1032360, 54507159, 6522511, 15072477, 3571107, 70439458, 4086075, 36979083, 9811063, 90105736, 11712567, 82310182, 528225, 22427269, 22598478, 94016595, 118355863, 12969820, 15812072, 77074395, 17280545, 173680111, 744442, 39598691, 45054839, 10950694, 28630578, 6687038, 52133795, 4687039, 87331021, 840559, 12990666, 74241463, 10654555, 177760154, 56719610, 14648640, 16694518, 8564501, 34615332, 41797270, 48164330, 758187, 137077539, 9903185, 3498867, 26803841, 11128502, 35910822, 41029784, 2585693, 19866509, 122229226, 10830923, 39107390, 36564773, 19353368, 26225179, 10746066, 140487678, 24766906, 15154920, 48897944, 23136344, 6180455, 114306055, 30331310, 5362144, 74471269, 120288385, 8702321, 19222845, 21436866, 5229812, 35094285, 15323433, 34881830, 11632480, 75257918, 22447868, 11205384, 88710090, 165357810, 37105099, 47583747, 6373325, 35164341, 94194490, 57870099, 16033231, 3266023, 13069568, 39972636, 4371, 14187457, 85766347, 24346444, 32468686, 15166187, 53718499, 18817578, 20476368, 91396856, 35507064, 8438163, 20795764 ], [ 174162059, 97085922, 113505080, 311917730, 136245013, 117181016, 64080650, 130453420, 101585927, 14021970, 30421189, 17470031, 95381657, 307610120, 126100173, 37347263, 35635354, 33303898, 51287163, 91751410, 22943077, 176407070, 54507159, 34088334, 31517016, 172022691, 236527341, 79585245, 36979083, 9811063, 90105736, 61089924, 130629805, 489352744, 22427269, 52597173, 118469328, 291103638, 110155120, 65879175, 73803593, 17280545, 168913838, 124972417, 239972320, 181581527, 96358760, 145062040, 150481908, 75118583, 26014536, 115183181, 15119195, 153065950, 17366602, 13802806, 179471924, 194948976, 14648640, 31897130, 76528211, 39536786, 30771820, 48164330, 181820170, 120343331, 107754139, 592307264, 63046026, 11128502, 345352594, 104722467, 26179740, 23540961, 74717980, 57292505, 162094443, 90102240, 19353368, 47684936, 72337696, 281557211, 172913713, 45077948, 48897944, 23136344, 4519966, 86510314, 149029918, 399278224, 269410632, 80291115, 43268563, 19222845, 97838497, 5229812, 47946239, 43573138, 16667125, 12345279, 458518823, 22447868, 9670333, 42464866, 80291893, 246766272, 160122026, 75950156, 35164341, 94194490, 168782422, 134022192, 1250663, 13069568, 54283146, 1188818, 14187457, 125385788, 24346444, 62262817, 32182005, 109604538, 223784441, 3030832, 208043842, 235151078, 39011870, 85240760 ], [ 43866048, 13262061, 91521943, 157120283, 33277103, 84316290, 88216240, 127631884, 47429823, 48784802, 119367130, 31977768, 56211229, 18894141, 50053741, 21034128, 64993173, 35156769, 34182927, 85207127, 79375389, 112206627, 54507159, 16439853, 15072477, 23604150, 311684793, 61702296, 37749319, 21147669, 3661179, 4276608, 93886059, 150857322, 98103171, 18914570, 71870895, 52916695, 15322229, 50595135, 161630182, 16419540, 48059919, 3596894, 36158276, 10151165, 19903280, 14156480, 7617318, 26018692, 26014536, 33810309, 43097546, 49755262, 3646078, 10654555, 92208741, 34742023, 14648640, 2318695, 6652893, 118110339, 166247101, 4081438, 14845455, 244594885, 18453377, 11729070, 69539631, 8937545, 2070106, 20674032, 48351787, 78815504, 34667850, 5091121, 71512655, 65625979, 95255415, 26225179, 76332171, 29198634, 24766906, 22269941, 26850711, 23136344, 72647686, 41690395, 21229216, 73828439, 25901517, 287126310, 8702321, 7297955, 764587, 75897377, 6095801, 15323433, 42197239, 26937213, 12906696, 6227883, 22173503, 25339270, 125381541, 246766272, 751071, 53302875, 45380486, 127411326, 31533926, 78599099, 34900327, 15844133, 90236373, 39529471, 14187457, 85766347, 114255730, 34828130, 7805551, 67476139, 81708627, 56787075, 26256355, 113178185, 60000729, 48756787 ], [ 73243144, 13262061, 12168847, 96597209, 873519, 37410800, 30202580, 92093921, 15538033, 41997364, 22629165, 58141178, 12314644, 75666424, 57273016, 13112516, 19720086, 69607594, 16111413, 10432478, 17088587, 142843678, 54507159, 34088334, 4836413, 11414663, 10281903, 320422872, 36979083, 2513628, 50069238, 94730687, 130629805, 219853, 9919743, 22598478, 93076438, 941774, 86884185, 26723723, 36108440, 2773856, 48059919, 124972417, 33962363, 54717488, 46963576, 33027000, 122927825, 52133795, 14596797, 70306353, 174860445, 28922729, 26888288, 13802806, 68822773, 46697041, 14648640, 3325709, 98863801, 124646537, 33395442, 40389028, 56830656, 114734156, 131606927, 11729070, 69539631, 8937545, 15813536, 6038789, 26179740, 97447020, 9734007, 95961302, 142157452, 62078491, 19353368, 49558454, 49030490, 33612121, 24766906, 42415447, 77447581, 23136344, 53628501, 27058796, 58651924, 68004229, 190449205, 7492623, 2224546, 19222845, 15272083, 75897377, 47946239, 11293016, 110766261, 3962925, 12906696, 6227883, 21893811, 5490171, 18629613, 115582686, 31524604, 43313435, 35164341, 68911876, 49678368, 70875298, 34900327, 91910477, 54283146, 39529471, 14187457, 9219250, 24346444, 989728, 10094996, 27708952, 42882095, 78707398, 91396856, 4957152, 57156642, 12517399 ], [ 123876081, 83328899, 60354414, 66718259, 136245013, 55262819, 42992009, 28720199, 47429823, 137797593, 19436251, 50368910, 12314644, 118060902, 57273016, 66664621, 7619152, 125722950, 76057759, 37690172, 8153211, 183131299, 48133062, 34088334, 15072477, 47168326, 16674892, 95771511, 36979083, 9811063, 5859786, 72761192, 130629805, 87829367, 9919743, 83263277, 20679834, 56484265, 37541887, 8352151, 183119693, 168861895, 16118041, 124972417, 229158087, 54717488, 22487531, 87623488, 60031440, 115243996, 26014536, 86665551, 28964437, 24471481, 52667417, 13802806, 75770217, 261114148, 14648640, 16694518, 35818317, 105409613, 10055390, 32744536, 758187, 23458859, 98447598, 11729070, 5457676, 8937545, 299536297, 166078129, 26179740, 60676671, 33384915, 10830923, 101611232, 87277172, 10845223, 26225179, 45950979, 33612121, 24766906, 26791723, 179611863, 23136344, 88554354, 63306276, 74453127, 68004229, 65980226, 7492623, 59493553, 19222845, 15727200, 79444250, 76613796, 6823891, 15734652, 47319598, 61985424, 6227883, 64410245, 132992065, 34374270, 60881301, 146392488, 21571738, 11261624, 60767190, 270958499, 38511818, 29582304, 53501082, 73073455, 77874438, 221657, 9219250, 6556908, 66808117, 7440492, 67476139, 49110469, 12797032, 6251115, 4350197, 39011870, 82023210 ], [ 46930479, 31794376, 91521943, 27899268, 68797297, 7829423, 40798206, 130453420, 57116688, 141631188, 68735410, 74243328, 12711568, 63070458, 6765282, 200169268, 40855158, 30826342, 89692788, 7746017, 69861726, 18708315, 54507159, 33438807, 63474736, 43176167, 58205030, 104169224, 36979083, 9811063, 145809542, 11282436, 116791573, 53230853, 9919743, 104649555, 89979232, 123969568, 60575621, 14931613, 36108440, 39668587, 53343239, 76880882, 197592359, 11684360, 96064311, 36292908, 14335983, 213746214, 26014536, 72386568, 24439858, 49539256, 98129014, 13802806, 62931609, 6088663, 14648640, 43504609, 5179922, 46481541, 33261372, 19301181, 35286264, 23458859, 9199391, 11729070, 58456141, 8937545, 29909912, 119306326, 26179740, 20330484, 228592382, 116247650, 150204237, 60489025, 88687903, 3400982, 144643058, 33612121, 73106493, 104252986, 20163611, 4804257, 56588923, 104877375, 52984891, 73828439, 337170218, 7492623, 35881988, 19222845, 16769773, 25335725, 63753642, 17051841, 46178442, 2201638, 13111456, 20750624, 64410245, 132992065, 29603894, 47788533, 11904666, 36150303, 35164341, 40298545, 49678368, 55852104, 1957091, 42725679, 45340032, 77874438, 3207842, 21948088, 24346444, 55515494, 271186117, 52548562, 86722838, 76733489, 12114064, 166270172, 40871251, 53444357 ], [ 97384586, 97085922, 47845851, 3075335, 15213372, 7829423, 337683837, 10728620, 47429823, 199929194, 33741451, 74243328, 41594950, 4089558, 14676184, 21034128, 67600540, 127591331, 54252897, 50058218, 69861726, 18708315, 54507159, 21110622, 18345311, 11385116, 11032835, 46274253, 4139590, 9811063, 34202976, 71246059, 36743817, 53230853, 25371715, 22598478, 140274632, 146084899, 23580742, 48807174, 181207800, 1911310, 20369260, 744442, 106813252, 181581527, 46963576, 33027000, 14335983, 52133795, 26014536, 82219332, 111175371, 109565665, 74241463, 13802806, 150297122, 8221730, 14648640, 71290684, 64474081, 5899465, 26754289, 16204944, 297227637, 23458859, 64082664, 20876282, 68295644, 11128502, 77685917, 57092899, 7862580, 60270550, 39262333, 41768460, 39107390, 53326111, 49381587, 6351248, 45404420, 176068714, 24766906, 17277866, 7835358, 23136344, 119891652, 130996624, 52984891, 148005474, 1325224, 2933573, 47854487, 16495350, 60854711, 5232805, 30000454, 18248738, 163430255, 32328827, 42362674, 20750624, 48659214, 132992065, 51408379, 90514069, 74355201, 80062725, 1783313, 97626607, 80680615, 278440385, 34900327, 12981841, 34724323, 77874438, 14187457, 21948088, 24346444, 2936898, 146416411, 110009985, 81708627, 76733489, 133945209, 64042676, 54663602, 152199936 ], [ 59465412, 97085922, 75428941, 6097125, 136245013, 42600000, 81223123, 35571681, 28984689, 9273267, 94386302, 39312800, 40597288, 50091355, 57273016, 157995858, 109053390, 137530015, 287602038, 120893494, 22169956, 93207091, 15394990, 181596955, 175520981, 2475601, 46590480, 41914876, 65074121, 21147669, 85262449, 25225985, 78947412, 19490018, 130064242, 235801340, 85660278, 142849411, 66144161, 26723723, 36108440, 11170896, 78098687, 124972417, 48619031, 113486192, 191320393, 48111869, 45725471, 85786520, 26014536, 87331021, 146755068, 28863318, 36103520, 86751626, 138334518, 41670839, 75064139, 6610976, 185684437, 163526627, 33395442, 70151576, 4695700, 10340495, 33707829, 69035520, 90609775, 11128502, 116920481, 61897468, 104330210, 12467909, 20588532, 567394883, 26633138, 30386323, 24397799, 64804402, 142052046, 301184042, 43298155, 66745399, 266715735, 138506906, 61695432, 143590005, 192831500, 73828439, 28854300, 15009360, 51109713, 19222845, 9662602, 5232805, 87409555, 21591284, 16918100, 34787540, 60341589, 40117277, 64410245, 137020445, 1213477, 47516633, 92336986, 6170367, 11261624, 74017347, 31533926, 181762500, 34900327, 201554943, 182944468, 77874438, 142519476, 135279616, 74927492, 308584375, 92142741, 76350134, 6464083, 85565421, 100576982, 72304628, 21267640, 1406978 ], [ 232567861, 83328899, 91521943, 10728001, 70390093, 7829423, 143294559, 76102808, 484196901, 203112778, 37497957, 17470031, 13688128, 75666424, 112141545, 22638092, 36090254, 172427112, 44048311, 57593823, 69861726, 298996179, 49929162, 50258190, 69306876, 32832956, 58205030, 325756812, 72652652, 21147669, 28624619, 41544785, 130629805, 84314686, 9919743, 22598478, 85660278, 164095623, 5875508, 194479144, 188043164, 17280545, 56029132, 39444895, 149935379, 5564078, 97950163, 130595725, 31916685, 60657524, 87304885, 27323113, 40925288, 21139736, 98129014, 58746990, 6695272, 62685402, 14648640, 31897130, 256620419, 91164240, 166247101, 48164330, 81599080, 23458859, 131606927, 58041279, 63046026, 11128502, 3837077, 163134051, 170650484, 95637136, 20588532, 95140858, 48982349, 22464142, 19353368, 167507113, 31460561, 35924575, 73106493, 45077948, 8841244, 23974405, 6116429, 124185777, 35901352, 40087474, 13438897, 7492623, 120418407, 19222845, 9662602, 241083606, 44055985, 20716534, 5999, 11632480, 15545583, 1011053, 53806064, 88710090, 39592215, 35033547, 92336986, 55492560, 35164341, 201598130, 14870913, 43792465, 1957091, 13069568, 16260889, 77874438, 14187457, 314399105, 52724986, 51565532, 32182005, 54314133, 35652117, 16653158, 81256842, 120708607, 13252763, 1406978 ], [ 90265107, 53924841, 91521943, 27543629, 60614589, 7829423, 146052228, 60297867, 47429823, 54421142, 56199017, 74243328, 21363058, 25332618, 41806433, 83543011, 21637467, 44778422, 29028472, 64162021, 16794657, 142843678, 49257403, 233575, 17271424, 17651129, 1156155, 46274253, 36979083, 9811063, 90105736, 11712567, 168067667, 24193249, 12057222, 30951845, 140274632, 34814590, 123466888, 65836751, 56845272, 17280545, 34723858, 27009633, 16516395, 5564078, 46963576, 79463455, 7617318, 212809955, 27794976, 98461212, 84906947, 30969210, 42145575, 13802806, 130439128, 130914559, 137106750, 25490684, 35485214, 22328890, 191630356, 27213879, 19919715, 48789712, 79036542, 11729070, 26803841, 8937545, 101377208, 6038789, 26179740, 6787830, 29111175, 1262861, 35203089, 40460042, 6272544, 49279826, 44878403, 33612121, 24766906, 14747030, 7835358, 23136344, 49221285, 34969278, 49330850, 68004229, 186541004, 108662088, 30259855, 7284989, 98515630, 103527577, 4717012, 1404637, 58375885, 30702354, 61104428, 22447868, 64410245, 71747420, 33631571, 37407485, 60575653, 284891241, 35164341, 113708864, 70212370, 88436661, 47260902, 13069568, 26334845, 31818116, 123359600, 116940943, 6556908, 26802638, 59130269, 24088385, 919956, 12797032, 98668105, 30736733, 32594470, 20211775 ], [ 37173642, 6368540, 91521943, 25895467, 33277103, 38081745, 24958943, 6568013, 47429823, 124515762, 71503946, 74243328, 71615469, 12188205, 98151237, 42286843, 45960502, 19419044, 51287163, 12230160, 69861726, 2732058, 49257403, 42482432, 84389921, 2475601, 1423423, 46274253, 4139590, 9811063, 44270536, 25225985, 28190702, 19490018, 9919743, 17721052, 140274632, 14280868, 9985536, 26723723, 36108440, 18119559, 98787651, 110546230, 16516395, 8738751, 46963576, 195935172, 14468355, 85786520, 26014536, 48322024, 37404677, 172063670, 74241463, 13802806, 17500540, 27455516, 8534908, 37539156, 70494810, 22328890, 102080059, 12293544, 60624191, 984965, 79036542, 20876282, 50687245, 11128502, 8977794, 5883148, 26179740, 6787830, 29111175, 38454805, 18705979, 25369199, 16500950, 19249411, 76332171, 51068483, 24766906, 14747030, 132605470, 183158675, 43857363, 63061736, 121733072, 73828439, 28854300, 7492623, 8702321, 19222845, 31335309, 61805637, 8191480, 15323433, 41613335, 81208466, 61104428, 22447868, 56306782, 15381447, 29603894, 2904225, 102658799, 43313435, 25598930, 63829230, 31533926, 62371700, 17980645, 194734734, 15388037, 37966319, 56487388, 9219250, 6556908, 16782351, 43942944, 73967011, 6464083, 85565421, 33164084, 80193245, 54663602, 1406978 ], [ 35045781, 11526341, 20551867, 43474170, 25910147, 7829423, 81223123, 6568013, 92583342, 71013518, 42522121, 17470031, 61308600, 22428411, 50053741, 50156172, 36090254, 1261333, 5312691, 28941804, 29984501, 18862324, 54507159, 27832087, 18542764, 141704410, 1423423, 12989422, 40604913, 21147669, 39537873, 9423297, 24847453, 7359661, 9520884, 57662041, 10445442, 15739239, 87650934, 1129683, 42147465, 17280545, 111903653, 124972417, 3702195, 1245387, 17979587, 33027000, 26224137, 7487418, 26014536, 86665551, 39235449, 128500669, 12224211, 29246001, 19594764, 61674512, 14648640, 1753138, 63242601, 19667908, 33395442, 48164330, 42556680, 59247595, 68877748, 5224622, 5653064, 11128502, 21947658, 6038789, 43998752, 66786614, 20588532, 116247650, 27684402, 31532024, 12464997, 77867070, 35219218, 30477930, 23898966, 362218, 8841244, 23136344, 71541590, 84534261, 35901352, 73828439, 43800696, 56212014, 42152998, 19222845, 50272125, 97884575, 44055985, 12794280, 29804767, 32328827, 56615439, 46620845, 52397745, 88710090, 18629613, 4900151, 47583747, 109644818, 20953012, 3674981, 8449833, 60319807, 62712673, 13069568, 62622310, 36963045, 14187457, 26257979, 66498537, 66158273, 10094996, 67476139, 17832662, 56787075, 41789019, 39202837, 39011870, 138570898 ], [ 74420813, 13342962, 761466, 58228867, 75913213, 45000965, 123175070, 130453420, 47429823, 19692117, 67579601, 58141178, 16948464, 63714770, 98151237, 193602125, 18518610, 30826342, 89692788, 2648021, 69861726, 13987896, 7097485, 34088334, 8151623, 2475601, 24364563, 46274253, 36979083, 9811063, 10058780, 17113098, 71525322, 84314686, 9919743, 22598478, 11644817, 36549574, 9985536, 14931613, 122282160, 7658704, 45712262, 24447404, 48619031, 5564078, 46963576, 67381761, 58637621, 26574046, 26014536, 54279400, 12789386, 49755262, 8838420, 10654555, 3877784, 57345974, 14648640, 31897130, 42952507, 36854420, 166247101, 47980771, 72999968, 4770883, 45806878, 20876282, 30257320, 11128502, 28194980, 154347737, 26179740, 6787830, 20588532, 139520994, 48982349, 40460042, 71992811, 23952697, 50114849, 11589281, 24766906, 23576199, 8841244, 23136344, 26556088, 1804505, 154995966, 70429283, 37243580, 7492623, 21134984, 7284989, 31167951, 5229812, 9904138, 43573138, 26943461, 30702354, 31953348, 6227883, 22173503, 2842731, 19451382, 101370518, 26411399, 11886572, 35164341, 32906236, 102996811, 152283894, 17980645, 9662458, 19402893, 40457437, 14187457, 55223196, 6556908, 51565532, 7805551, 23424037, 24425967, 12797032, 170176737, 4957152, 19398896, 1406978 ], [ 24568957, 75324996, 9024081, 39837344, 118526826, 7829423, 157367015, 10882454, 47429823, 481606606, 42522121, 69354034, 38172724, 4386071, 237142982, 52926680, 7619152, 148363555, 5312691, 15163429, 100488376, 46042705, 54507159, 34088334, 21710163, 47168326, 10281903, 41914876, 19173891, 18419991, 90105736, 347440888, 130629805, 87555067, 9919743, 386199, 33072370, 170815518, 163467739, 109689335, 128618411, 17280545, 12920141, 91728899, 16516395, 10151165, 2739906, 37415605, 150481908, 85786520, 4261307, 87331021, 161036725, 21139736, 31890236, 52346208, 61314868, 71019915, 14648640, 31897130, 239023805, 51921857, 161429913, 48164330, 758187, 102163540, 110304335, 5224622, 19911671, 11128502, 167474781, 104722467, 104330210, 65677577, 6748453, 113168606, 74819836, 66061562, 95255415, 47042099, 49030490, 6915208, 24766906, 183263655, 12184028, 23136344, 131190754, 63061736, 37520657, 52810276, 141511634, 7492623, 18179967, 19222845, 57599499, 58298583, 35003869, 43573138, 114793140, 9350717, 37460249, 79870237, 13827365, 15381447, 34652799, 42055225, 160122026, 43313435, 23022468, 12699353, 31533926, 44545905, 8928103, 13069568, 39712786, 77874438, 14187457, 9219250, 88814411, 94962878, 7805551, 54314133, 85358323, 3030832, 97987349, 1439900, 166224448, 59881781 ], [ 64033080, 65543923, 9024081, 52780335, 33277103, 7829423, 9494755, 57282820, 47429823, 93685423, 87802537, 74243328, 33479172, 207228724, 11165521, 63288043, 76141940, 39089548, 86689388, 21540213, 22169956, 46042705, 37469071, 34088334, 21710163, 3914731, 39004942, 13627799, 46844339, 21147669, 3661179, 25225985, 36864373, 90961544, 9919743, 89054004, 52868871, 33221467, 9044383, 32969246, 74582199, 19494935, 5300779, 84396464, 16516395, 10151165, 8870436, 45889349, 76526466, 9416260, 26014536, 53143035, 48129914, 10351072, 23711293, 10654555, 121342861, 6691387, 13034971, 46977691, 76180809, 826623, 32872819, 15008321, 2412463, 152204219, 16464820, 11729070, 120309477, 8937545, 67598967, 647801, 45551990, 97447020, 20588532, 4756820, 27684402, 3939238, 19353368, 12801747, 19394570, 16905223, 47490, 24862555, 48737309, 23136344, 47933954, 94100084, 52984891, 73828439, 119485024, 7492623, 8702321, 19222845, 44311231, 5232805, 9904138, 979604, 10695412, 9350717, 45749314, 79870237, 22173503, 38917360, 24156246, 5937249, 46999773, 30981901, 13086775, 9097150, 31533926, 71336515, 8928103, 45408064, 43036461, 71561743, 23608420, 281349285, 84983974, 11442245, 7805551, 19875681, 1650900, 35335042, 36934426, 36308859, 57156642, 41236674 ], [ 24568957, 38559466, 40672129, 66869210, 38234764, 7829423, 119299558, 41655514, 26944537, 77985592, 60840185, 74243328, 34739738, 15543686, 15223979, 37071526, 18518610, 44778422, 61256591, 15163429, 36346274, 12963111, 54507159, 34088334, 8151623, 755840, 5164034, 31043805, 36979083, 2355852, 3661179, 70712698, 130629805, 1782654, 47235282, 22598478, 16464885, 32919439, 39196081, 105302792, 73894573, 16703260, 114412716, 84396464, 133202078, 12349849, 46963576, 5528881, 26018323, 15061888, 27794976, 10030682, 12789386, 62806176, 73488228, 10654555, 17628513, 27824386, 14648640, 28997278, 61048455, 46481541, 11447161, 34955791, 76496025, 23408616, 70750936, 11729070, 657526, 8937545, 3837077, 137989393, 1721996, 12467909, 15109469, 38305625, 35711547, 52275884, 16528031, 108979105, 94367292, 33612121, 24766906, 74964443, 17632285, 14097842, 7112617, 41887482, 41994354, 69247015, 28854300, 5193768, 31287438, 19222845, 228742673, 58298583, 9904138, 43573138, 5316044, 30702354, 67515067, 22447868, 64410245, 28666453, 72897046, 30441055, 10328263, 7617984, 22497368, 222128277, 9815567, 71336515, 15506915, 59844364, 181018120, 12028570, 14187457, 42915553, 21631739, 14041590, 118431638, 25533915, 6464083, 1264245, 12114064, 17875423, 140521902, 102710151 ], [ 15156854, 97085922, 44621595, 80487212, 25910147, 7829423, 32062938, 92093921, 11468070, 23728819, 119367130, 33890499, 84520594, 8949772, 95863644, 12798864, 98507634, 39089548, 21654249, 30671516, 46584205, 46042705, 49257403, 27454299, 21710163, 2475601, 104162020, 46274253, 36979083, 9811063, 24016066, 9423297, 130629805, 125799505, 9520884, 23372866, 66556052, 90589342, 39196081, 55155419, 5540999, 39668587, 32531505, 31498261, 48619031, 5564078, 16984205, 5528881, 158281515, 52133795, 27794976, 57822883, 51682529, 24471481, 39497892, 10654555, 5019759, 71019915, 14648640, 50516828, 186962279, 826623, 150484176, 48164330, 70156515, 137077539, 77986125, 20876282, 54509151, 11128502, 3837077, 76121569, 26179740, 5108497, 20588532, 116247650, 4104688, 14421553, 19353368, 108979105, 5105700, 10158467, 24766906, 2572917, 8841244, 4804257, 65709753, 65859679, 35901352, 66315502, 191962791, 53743277, 8702321, 10578224, 86390605, 42791092, 9904138, 15323433, 110766261, 30702354, 207472463, 22447868, 64410245, 33373381, 18629613, 19216095, 19570961, 43313435, 45380486, 28840007, 14870913, 64565523, 34900327, 16474561, 154271474, 71561743, 6292514, 9219250, 6556908, 62262817, 10094996, 22604844, 37426293, 51336415, 46350896, 18615545, 50708775, 1406978 ], [ 105638148, 75324996, 91521943, 3523615, 30567513, 84316290, 13110491, 212672430, 47429823, 20633826, 42522121, 6732599, 8799657, 24346371, 25672922, 185523082, 11753475, 23133346, 5312691, 41614889, 22169956, 29508128, 54507159, 16439853, 84216045, 2475601, 34640560, 31043805, 46844339, 21147669, 2624770, 25225985, 130629805, 84314686, 9919743, 15006975, 135491050, 139889655, 50725260, 24676724, 153560906, 4049948, 84011763, 84396464, 48619031, 108955243, 4572319, 17606076, 80705097, 26574046, 26014536, 707267, 115826831, 72821071, 54792121, 86751626, 84948317, 7865970, 14648640, 31897130, 44188089, 56980432, 56385605, 15008321, 14845455, 30384576, 110304335, 20876282, 63046026, 9568649, 1927362, 41498887, 51531701, 132703814, 280037377, 162115856, 3875611, 31532024, 83980557, 25246702, 243336865, 138389762, 2861994, 73441397, 12184028, 23136344, 16730731, 68472145, 52984891, 96987572, 16636121, 7492623, 8702321, 19222845, 764587, 5232805, 71218897, 15323433, 96330681, 26937213, 91417745, 39128055, 64410245, 92620743, 51879367, 19909213, 112678011, 3824292, 13069490, 66743373, 139377079, 152283894, 24563170, 13069568, 49417923, 35042307, 13361038, 117593658, 88814411, 22317284, 52779918, 19332191, 34312063, 3030832, 9345812, 895863, 104040177, 12655662 ], [ 81654263, 58637967, 24442142, 98332766, 82668140, 53235021, 157367015, 130453420, 304657297, 202310065, 119367130, 59521470, 71615469, 22285001, 25672922, 156599577, 173278825, 5114422, 136708683, 35896512, 60491507, 46042705, 54507159, 34088334, 101437440, 92785240, 32517967, 41914876, 36979083, 9811063, 9903731, 155286467, 56755802, 129098722, 9919743, 158620482, 4393490, 73202451, 50725260, 24676724, 108687630, 39668587, 49905013, 124972417, 239972320, 11850518, 166347001, 145062040, 106295078, 85786520, 26014536, 10030682, 28443859, 14150619, 6482451, 13802806, 30032386, 71019915, 43325355, 148854209, 119789503, 126499886, 17317677, 15008321, 4695700, 49718442, 70439477, 12512447, 14973877, 11128502, 64725173, 6038789, 26179740, 132703814, 33384915, 51136416, 163097518, 31134821, 169109617, 73752409, 247594405, 59474351, 5082184, 99854249, 29354841, 23136344, 143989921, 143590005, 52984891, 148005474, 51229552, 7492623, 112610509, 19222845, 15727200, 13158596, 9904138, 43573138, 36537611, 11883829, 131348046, 22447868, 35474998, 63601042, 69435816, 6599734, 130163979, 21571738, 26093144, 10655704, 31533926, 44411557, 76420582, 259420844, 17198390, 35042307, 123359600, 9219250, 24346444, 94962878, 92657536, 29998079, 22947689, 3030832, 37146098, 41258304, 13486249, 12655662 ], [ 357337371, 97085922, 40672129, 66978882, 25910147, 168197060, 17837375, 130453420, 11338106, 89145553, 15987061, 115970893, 382786066, 89736295, 437098192, 196653582, 21637467, 69607594, 32076914, 19098090, 69861726, 254271436, 48133062, 4958025, 353443360, 43176167, 33382862, 2566108, 4139590, 9811063, 3901026, 24006481, 92420806, 57200701, 45833784, 29797004, 118469328, 369234870, 78023978, 92555797, 24312836, 234329288, 80159312, 201323149, 56922905, 181581527, 46963576, 98336023, 146837829, 112730988, 26014536, 10030682, 246096465, 211551143, 16043503, 13802806, 92063985, 106103836, 302055730, 95076704, 27853167, 145633933, 32746901, 55764009, 113539043, 62602145, 107754139, 30585864, 123263407, 157963111, 177711558, 220884734, 26179740, 51895325, 147161702, 188749759, 142157452, 98418848, 29433047, 19249411, 49042019, 103214486, 24766906, 26791723, 36522974, 23136344, 188673144, 97609519, 266205993, 51312835, 271029445, 9952316, 97551136, 19222845, 77301554, 5229812, 113461032, 43573138, 34881830, 45332682, 458518823, 22447868, 235121554, 130935752, 18629613, 124047147, 52170674, 35337297, 35164341, 94194490, 273414666, 192574244, 22799841, 92926213, 5236502, 77874438, 102029176, 21532160, 24346444, 83135938, 88238424, 206286173, 23094998, 16510963, 199357023, 82219371, 54663602, 8385885 ], [ 121536757, 18062200, 91521943, 117514230, 56394270, 7829423, 81223123, 49006875, 11338106, 29412339, 151853792, 55136879, 61308600, 14666611, 33085077, 18429975, 98507634, 58008113, 162242355, 131604132, 1887686, 145583478, 54507159, 34088334, 31517016, 40989572, 52263838, 106506330, 36979083, 9811063, 2802424, 16273457, 17863755, 91141172, 9919743, 107832548, 85660278, 90589342, 110155120, 194479144, 85422202, 356333361, 49905013, 124972417, 41672160, 5564078, 3930351, 177545, 247830647, 33652158, 26014536, 86665551, 15119195, 211551143, 17366602, 13802806, 16762983, 71019915, 82788461, 47555846, 53485449, 75913829, 13560067, 74046888, 240609884, 137077539, 22249452, 50591995, 158975681, 11128502, 48265236, 102620064, 26179740, 59467860, 20588532, 116247650, 48982349, 220678983, 69629332, 27824878, 76332171, 19618925, 5826010, 61282264, 8841244, 23136344, 47933954, 124724640, 36523646, 73828439, 119485024, 7492623, 8116193, 19222845, 20286424, 5229812, 2283994, 5567090, 8006431, 148252258, 56615439, 22447868, 64410245, 71066215, 127239068, 16293796, 47723450, 58570577, 35164341, 94194490, 10501846, 152283894, 1250663, 86716997, 43036461, 77874438, 9457991, 135279616, 10387097, 11442245, 22936501, 23369540, 85967375, 1045278, 131095943, 55343005, 54855149, 8385885 ], [ 77218782, 34383241, 44059036, 91480107, 56394270, 753563, 5481880, 10728620, 24406483, 28915564, 3693519, 878986, 34739738, 66481109, 40969013, 18429975, 40855158, 68281884, 78762130, 91072366, 29984501, 46042705, 49929162, 34088334, 15072477, 43176167, 1774776, 164910363, 36979083, 9811063, 145809542, 29057547, 111546882, 6952233, 7349163, 23372866, 110390026, 13208849, 23580742, 49588790, 20713714, 7880028, 80885695, 24447404, 7150152, 29407676, 3930351, 177545, 212705378, 33952486, 19779246, 70327410, 90500402, 67955405, 46245928, 13802806, 19594764, 6044690, 32937631, 37535908, 34023269, 75913829, 33395442, 11946234, 28367226, 6975885, 86473655, 21240755, 16242110, 11128502, 24161176, 55393851, 1721996, 16099353, 55101405, 39739330, 15137568, 42159915, 219475350, 26225179, 76332171, 13582577, 20519188, 45077948, 43158043, 23136344, 47933954, 97802999, 47087107, 73828439, 209686677, 35888054, 29804875, 19222845, 27740600, 5229812, 45218062, 15034865, 8006431, 32328827, 56615439, 22447868, 37542637, 102492662, 10143452, 49739002, 36937843, 90359348, 35164341, 39156272, 30781213, 145079439, 5394529, 30615961, 39482815, 69558963, 29906894, 26673546, 24346444, 11442245, 20964154, 67476139, 67065931, 1045278, 132562356, 2809997, 33560528, 108137345 ], [ 149658219, 25627318, 91521943, 157120283, 136245013, 38081745, 14983444, 71961339, 200614359, 14650532, 112102781, 74243328, 6376720, 19811681, 232866437, 79205732, 75252243, 95554627, 51287163, 40620308, 20457119, 170578370, 52292132, 8851008, 101437440, 743433, 17558543, 1304284, 4139590, 21147669, 56364034, 48525486, 52923125, 6952233, 9919743, 22598478, 135491050, 119245728, 218003809, 36700884, 153560906, 198544767, 6257264, 53333722, 177200802, 181581527, 91975986, 56686368, 43634998, 46554062, 37319124, 452054313, 90500402, 15889489, 47110452, 1166550, 42397331, 49122919, 68029201, 101681779, 43935746, 153838397, 33395442, 2055872, 180005608, 124858367, 110304335, 20876282, 180184322, 11128502, 22704879, 35693120, 43998752, 16099353, 139968799, 167877967, 60974175, 31532024, 145075117, 1081391, 142052046, 176262770, 20519188, 140116245, 4667868, 95105505, 111929761, 97802999, 35901352, 43362227, 69689975, 7492623, 26591430, 19222845, 67678000, 5232805, 44055985, 43573138, 8215086, 118259672, 60341589, 9498304, 64410245, 42464866, 164429909, 4696912, 3435798, 185295986, 35164341, 41068134, 30781213, 27787531, 33042149, 124412136, 114931033, 77874438, 48719828, 160990035, 57381738, 51565532, 43942944, 161307152, 42882095, 78707398, 62547840, 144915952, 54663602, 82023210 ], [ 63235793, 25627318, 9024081, 80487212, 25910147, 7829423, 208934684, 108374213, 56986334, 71013518, 107081669, 74243328, 71615469, 59370111, 19553941, 61489810, 35548041, 44778422, 384783434, 40620308, 69861726, 230982376, 48133062, 97074479, 79409986, 10326483, 85139712, 8874972, 4139590, 98455822, 216228118, 28857644, 111407, 90961544, 9919743, 60056805, 85660278, 206894540, 209717285, 65833975, 92260806, 198544767, 49905013, 53333722, 192121401, 72681927, 90365535, 5528881, 55425123, 172946593, 27794976, 336220760, 95412116, 16235886, 18316860, 16929353, 75770217, 61738043, 83837901, 16330527, 386062655, 48287149, 38504136, 23951579, 118843228, 139221672, 3148072, 12512447, 63023312, 11128502, 119998252, 73698525, 144387996, 60270550, 20588532, 73953910, 298212668, 71500726, 169109617, 19249411, 194619951, 156045941, 15968442, 26791723, 179762713, 130251109, 69146842, 94984154, 1278808, 21518044, 192070201, 7492623, 38913467, 19222845, 15727200, 36855165, 9904138, 43184542, 110766261, 9350717, 115905528, 51957490, 20764684, 33373381, 18629613, 4327419, 14736201, 21571738, 118933817, 49044164, 189558753, 105548595, 22799841, 90524616, 67308819, 77874438, 6742091, 35384173, 65373577, 74645698, 10094996, 76350134, 48791520, 67803198, 11770568, 86728952, 54663602, 59881781 ], [ 63235793, 41518206, 91521943, 278109108, 22776798, 2490300, 28760609, 12609845, 59180146, 1478861, 56382820, 58519521, 71615469, 152153481, 87318532, 23575150, 60885450, 58008113, 13120124, 70967773, 69861726, 42680527, 54507159, 146725858, 101437440, 43176167, 85139712, 8874972, 4139590, 21147669, 88277132, 247786119, 130629805, 223253607, 9919743, 87252951, 1495963, 51597051, 217041723, 194479144, 92833877, 39668587, 95917528, 98927547, 17882582, 131250906, 59687196, 5528881, 73431428, 213377642, 174675622, 20193809, 138726360, 34413265, 47110452, 10654555, 75770217, 10817255, 14648640, 221127417, 75983765, 48287149, 38504136, 2559906, 25872681, 54902498, 9901112, 12512447, 36603489, 11128502, 1316220, 173721357, 144387996, 60270550, 20588532, 33677359, 70341169, 4232416, 95255415, 19249411, 162291132, 119940429, 323157416, 152145799, 32908317, 23974405, 18630531, 36424821, 35901352, 5329061, 223658351, 7492623, 35881988, 19222845, 15727200, 17879321, 44055985, 27358281, 169022782, 32328827, 191120220, 57308569, 64410245, 33373381, 164429909, 60881301, 22810538, 21571738, 105242909, 156960360, 206324752, 139680304, 33738336, 30945225, 88138403, 19211314, 14187457, 84967719, 46437999, 54984263, 18621489, 76350134, 351883, 4241466, 212983826, 102988915, 54663602, 158189237 ], [ 6925873, 83328899, 1971494, 96955183, 25910147, 7829423, 272563751, 57282820, 47429823, 71013518, 5736725, 17470031, 89693520, 16393668, 745238, 63288043, 30822251, 71500933, 67004930, 8166328, 65065916, 46042705, 48133062, 17249292, 21710163, 47168326, 22853199, 46274253, 11616415, 9811063, 83327600, 50490197, 24847453, 185439616, 132584385, 22598478, 85660278, 24810579, 65478245, 11466227, 85422202, 39668587, 383594, 744442, 87180487, 5564078, 46963576, 5528881, 153198243, 25566948, 10510700, 10030682, 39235449, 28922729, 17366602, 13802806, 139988887, 34742023, 11163758, 33918957, 17879602, 146962618, 44960964, 48164330, 83584128, 8767110, 9901112, 3498867, 120309477, 19366808, 2459046, 6038789, 26179740, 118429636, 20588532, 2776827, 2159504, 25014687, 57076788, 13067885, 76332171, 48992924, 24766906, 26791723, 8841244, 22740229, 53581703, 143590005, 10640570, 28090463, 119485024, 4681896, 47854487, 19222845, 60854711, 5232805, 44055985, 43573138, 22639848, 3962925, 167564760, 22447868, 46124803, 33373381, 18629613, 100841207, 100143768, 107669794, 35164341, 3674981, 7549137, 74531643, 110295652, 1225763, 162901039, 1662263, 7578999, 26257979, 24346444, 14856694, 1037861, 67476139, 85358323, 78707398, 57798446, 1832243, 46559325, 14269725 ], [ 57301646, 13262061, 38914530, 157120283, 68797297, 7829423, 81223123, 11122756, 65630068, 14650532, 97336887, 69354034, 67273440, 97544519, 57273016, 465961278, 148249129, 12013662, 48861320, 56392526, 17088587, 42114126, 54507159, 34088334, 4836413, 117016792, 16674892, 1304284, 85673659, 39850670, 11037895, 30580668, 176707072, 171643128, 4133651, 100200947, 25456454, 11939172, 110155120, 26723723, 36108440, 9182292, 98787651, 69303941, 140013763, 10892048, 84757146, 54676401, 1706859, 2414303, 26014536, 87331021, 39362456, 21139736, 12922445, 86751626, 77599777, 97299593, 14648640, 16084294, 43935746, 101340059, 23589041, 48164330, 189214701, 5954598, 10879380, 21907393, 163198850, 11128502, 22704879, 104722467, 43998752, 126284464, 56088204, 116247650, 190875938, 156856293, 52221027, 1081391, 73122758, 200604534, 134074728, 140116245, 71345950, 23136344, 192082432, 134674203, 69036259, 73828439, 95172109, 7492623, 80374169, 4947472, 204061598, 5232805, 89082100, 43573138, 238204312, 8258553, 207298763, 9498304, 64410245, 42464866, 29603894, 4696912, 52774061, 167133963, 11412452, 64760790, 31216632, 152283894, 1250663, 6093032, 144199753, 31131358, 4778538, 133183457, 162675306, 90507478, 108504473, 54314133, 87110961, 78707398, 108646659, 43081569, 25962945, 10498243 ], [ 82816544, 97085922, 91521943, 27637873, 2446570, 7829423, 87576189, 130453420, 47429823, 16677736, 42493755, 7556272, 21576998, 51057216, 140862904, 97040366, 8276952, 69607594, 172683996, 38514688, 81986756, 108325601, 48946414, 34088334, 47527318, 43176167, 16674892, 94141752, 33990150, 9811063, 32318278, 9378073, 110341959, 66416072, 175709327, 22598478, 32541078, 90589342, 74942482, 36700884, 11142073, 52031549, 4528959, 54319235, 103465624, 160633157, 22487531, 145062040, 79187697, 124929948, 26014536, 86665551, 246096465, 28922729, 74241463, 13802806, 75770217, 2256439, 14648640, 82513676, 246849898, 117131507, 44960964, 48164330, 139566993, 28666838, 131606927, 12512447, 66162324, 11128502, 140177897, 166078129, 26179740, 1248329, 20588532, 116247650, 69710786, 31532024, 69330880, 39855763, 76332171, 156045941, 24766906, 13491606, 29354841, 23136344, 57954350, 143590005, 35901352, 73828439, 82388935, 114032897, 82716240, 12885968, 15727200, 63336858, 26063013, 29376298, 39225785, 3962925, 173585708, 22447868, 64410245, 76427133, 2146113, 60881301, 3435798, 21571738, 118933817, 26274145, 54517140, 122660016, 7570150, 91196093, 162901039, 12788432, 14187457, 122180361, 24346444, 51565532, 178371867, 67476139, 36401213, 35781802, 37146098, 83112910, 21178790, 120635486 ], [ 4446553, 38167608, 10590528, 134749845, 136245013, 83475848, 18545556, 166348686, 11338106, 13666491, 8269591, 60970584, 29005768, 113308800, 36634874, 21034128, 40855158, 7079463, 35540374, 28941804, 1887686, 216168174, 8824962, 34088334, 15072477, 12564057, 68606398, 277489499, 11384301, 18419991, 34202976, 16273457, 33744510, 19490018, 9919743, 52512232, 16464885, 181964479, 44363295, 37153598, 188043164, 85330080, 98787651, 744442, 127645131, 18939602, 46963576, 92485219, 82261562, 40118035, 26014536, 72386568, 117148898, 21139736, 74241463, 23754173, 16762983, 122978465, 32937631, 47555846, 64474081, 49707186, 33395442, 11946234, 34247476, 168161174, 22249452, 25794162, 38753358, 11128502, 242749395, 32985898, 105319726, 12467909, 61216899, 69681164, 39107390, 52275884, 116686823, 24533706, 2886570, 19213264, 24766906, 17277866, 165160538, 23136344, 7112617, 24270387, 16636870, 73828439, 28854300, 7492623, 88478144, 19222845, 25784813, 22107941, 26390262, 43573138, 5316044, 34787540, 71126994, 75417389, 37542637, 110018397, 36033271, 69516744, 17753307, 43313435, 35164341, 78047276, 76372505, 70105411, 1250663, 32124993, 43036461, 69558963, 9457991, 9219250, 10387097, 11442245, 193466779, 54314133, 6464083, 1045278, 80028217, 172401515, 33560528, 8385885 ], [ 18143714, 37049060, 62919337, 74511019, 33277103, 27557384, 29738778, 30391140, 11338106, 60412744, 118567317, 34610107, 71615469, 50091355, 4001493, 14817503, 18518610, 44778422, 2576077, 56323737, 1347437, 24691208, 15394990, 50811996, 8151623, 117016792, 70439458, 31043805, 43791544, 21147669, 20984574, 16273457, 77892940, 19490018, 9919743, 27165308, 154444328, 113470639, 82843228, 64448995, 29941263, 1668431, 21989595, 21496166, 239972320, 18939602, 22487531, 61890737, 84387194, 40118035, 27794976, 77325124, 2674843, 31768625, 98129014, 86751626, 16762983, 33243219, 4802336, 27035160, 294334861, 163526627, 44482479, 15008321, 65148718, 25610046, 131606927, 3934247, 16242110, 11128502, 27757256, 61897468, 104330210, 12467909, 69986285, 174882985, 46217550, 11807115, 95255415, 14443278, 93647738, 127129720, 113817328, 45077948, 43188254, 23974405, 79834070, 61818259, 223189329, 18995160, 15299479, 7492623, 8702321, 19222845, 171759511, 10775889, 5674697, 15323433, 558809529, 30702354, 25234297, 57329203, 64410245, 9912482, 41497429, 94484605, 146756711, 43313435, 32211393, 254881093, 31533926, 58765380, 42207456, 147019294, 149743218, 71561743, 9457991, 9219250, 4246504, 94962878, 164767684, 31988524, 6464083, 35747937, 177912206, 14470948, 39011870, 8385885 ], [ 121536757, 22529708, 91521943, 50682523, 1021516, 83086094, 157367015, 113635224, 11338106, 14945151, 151853792, 26003931, 8799657, 43984272, 36634874, 39070086, 18518610, 21131625, 108875799, 113513508, 1347437, 83754180, 52292132, 1465089, 8151623, 43176167, 16674892, 61290542, 4139590, 21147669, 32318278, 16273457, 92420806, 67445177, 9919743, 71380438, 18261773, 218050890, 215833322, 36700884, 38375191, 88488696, 78415181, 70142829, 36203442, 18939602, 96064311, 14156480, 64141567, 40118035, 8485469, 44272652, 12789386, 73622971, 62202479, 29246001, 16762983, 7865970, 64479565, 28456691, 147046045, 73816208, 32921152, 18615277, 83584128, 15856463, 131606927, 21907393, 21364041, 6329843, 29032283, 2125718, 42835754, 60270550, 94805463, 69681164, 96800524, 43735364, 164238601, 1081391, 33435162, 10158467, 59386146, 152145799, 47247966, 23136344, 155554744, 81671261, 32125681, 1586059, 27326351, 7492623, 29811093, 19222845, 70647982, 5229812, 9904138, 43573138, 100350908, 30702354, 50693767, 9498304, 19716944, 193680224, 11603901, 4696912, 24786772, 3824292, 35164341, 94194490, 31216632, 138685220, 84153700, 170705572, 184373931, 77874438, 9457991, 23453486, 39902837, 22717768, 51613150, 107193626, 7983296, 78707398, 30813242, 49757387, 25962945, 8385885 ], [ 14107149, 13262061, 40672129, 23371577, 108521054, 4118076, 81223123, 92093921, 47429823, 16677736, 33741451, 74243328, 120929721, 75666424, 12467047, 216711018, 124340353, 69607594, 27082, 56392526, 29984501, 46042705, 54507159, 85314941, 15072477, 47168326, 70439458, 75995835, 36979083, 9811063, 46546741, 16273457, 130629805, 54793147, 6623076, 6401481, 52868871, 248989407, 44363295, 2472168, 32158086, 30692901, 84011763, 124972417, 146543286, 18939602, 46963576, 33027000, 1500617, 21462867, 26014536, 2254545, 36955219, 31768625, 68745027, 11735842, 16762983, 8921430, 11163758, 82513676, 57666185, 49707186, 33395442, 48164330, 35286264, 23458859, 33830814, 58218196, 266116192, 11128502, 22704879, 142079477, 26179740, 74710310, 20588532, 103990520, 129457504, 31134821, 95255415, 26225179, 70737589, 271971, 24766906, 20985205, 66922779, 23974405, 244795966, 82443522, 52984891, 11114845, 76967518, 169768293, 47854487, 19222845, 102173972, 9255825, 61812224, 43573138, 38725004, 32328827, 207472463, 22447868, 64410245, 50962653, 165357810, 5937249, 108339522, 32720810, 35164341, 10655704, 223787555, 87401284, 34900327, 73461231, 144199753, 69558963, 9457991, 9219250, 24346444, 44322097, 89562660, 61541669, 67497535, 12797032, 55262214, 35507064, 39011870, 120635486 ], [ 182047471, 38167608, 63036279, 367284122, 125013236, 7829423, 81223123, 87779152, 11338106, 60412744, 151853792, 55136879, 71615469, 27957888, 36634874, 114712881, 23745391, 21131625, 51287163, 15412135, 1347437, 118009155, 17302312, 34088334, 76044419, 23127830, 17558543, 46274253, 4139590, 21147669, 12756087, 72608530, 57992471, 40065399, 9919743, 22564256, 85660278, 90589342, 246658060, 29478518, 29941263, 44190414, 49905013, 30558834, 39650858, 181581527, 46963576, 145062040, 79187697, 85786520, 26014536, 72386568, 161036725, 67955405, 74241463, 52315371, 26847428, 6044690, 68601867, 34069127, 64474081, 136345621, 32921152, 59464778, 28367226, 127449548, 110304335, 8461208, 158975681, 11128502, 71355634, 2125718, 104330210, 7425130, 6673560, 29962433, 142157452, 176216109, 169109617, 19249411, 45404420, 156045941, 24766906, 17277866, 47247966, 23136344, 105651988, 111136771, 74453127, 46911684, 119485024, 7492623, 80337515, 124127201, 34717163, 5232805, 113461032, 5122981, 163430255, 158890012, 50693767, 79870237, 17221490, 114835017, 11603901, 92324215, 62789107, 90359348, 19345093, 80971336, 31533926, 35646354, 108328295, 253066094, 240354627, 77874438, 64456563, 134744943, 19888394, 83135938, 263551128, 67476139, 85358323, 16510963, 72460650, 91796273, 54663602, 7942710 ], [ 15793878, 85817567, 80749299, 137878711, 67938123, 235146181, 81223123, 34023924, 11568794, 157310903, 119367130, 59634199, 84520594, 13949632, 57273016, 4605955, 35635354, 148363555, 6239508, 138673085, 29984501, 24691208, 54507159, 40505390, 21404810, 117016792, 62665010, 206026494, 4139590, 15175546, 122395377, 14104276, 3954042, 19490018, 126871329, 90299454, 48222143, 53911776, 92460353, 132617706, 110115520, 115658817, 88954935, 1004199, 75937443, 181581527, 50765343, 87623488, 60031440, 18512979, 26014536, 36602426, 142982744, 67955405, 8513457, 12618545, 75648262, 63465833, 66967279, 53835269, 61606123, 3488798, 33261372, 12293544, 114479603, 11882171, 69275328, 3498867, 7445093, 11128502, 63598744, 166078129, 14400624, 12467909, 288259, 191921736, 8172015, 6429636, 44841138, 7805821, 32213865, 51068483, 190721589, 38771833, 60151639, 9273436, 248148771, 65261005, 31459281, 73828439, 2968802, 116275678, 138770330, 19222845, 107146911, 5229812, 5674697, 20082573, 90706319, 81642376, 6496455, 1317985, 42410573, 102085221, 63925694, 36643396, 14934828, 7056005, 35164341, 40424039, 31533926, 65918568, 1250663, 170705572, 54283146, 39529471, 4778538, 4263372, 39902837, 83135938, 224943917, 91501237, 6464083, 39389127, 55241413, 131810791, 8905316, 20569385 ], [ 175944186, 16340085, 66941308, 30637130, 119583545, 753563, 64387108, 11122756, 31816588, 41997364, 22907577, 13158355, 40131892, 13949632, 57273016, 14991235, 18518610, 4769597, 78216735, 834308, 6417138, 98766317, 54507159, 34088334, 8151623, 167808680, 205109225, 19528142, 4139590, 9811063, 17851763, 29057547, 28190702, 18212595, 9919743, 107832548, 48222143, 125350875, 36034700, 109689335, 183119693, 108270510, 48053082, 1004199, 20220556, 109174654, 22487531, 136199237, 57012573, 26018692, 26014536, 86665551, 12789386, 24246971, 78649338, 12618545, 19594764, 57345974, 11163758, 47555846, 64124675, 53608172, 43978709, 48164330, 77097147, 2480781, 74764236, 4121555, 50326426, 8937545, 65080746, 43168855, 4760458, 12467909, 20588532, 72557232, 15179998, 6856116, 95255415, 19249411, 34174321, 19618925, 372899, 38771833, 619161, 23136344, 25100198, 34969278, 154995966, 25591598, 10532315, 7492623, 30136489, 19222845, 15727200, 5229812, 35212484, 979604, 75845201, 67173398, 6496455, 22447868, 27030575, 132992065, 26970937, 2904225, 77177965, 7056005, 13086775, 68911876, 79237933, 23971105, 15506915, 45408064, 43036461, 22788190, 14187457, 9219250, 24346444, 11442245, 28594756, 67476139, 6464083, 78707398, 43990906, 224365826, 54663602, 41236674 ], [ 121808568, 97085922, 66941308, 116638900, 136245013, 270127773, 7683554, 10728620, 153079691, 159818149, 38036421, 13158355, 71615469, 13949632, 21280646, 176895019, 21637467, 1320109, 81994575, 1967362, 29356258, 171774177, 54507159, 34088334, 89940668, 200747968, 16674892, 31043805, 4139590, 21147669, 32318278, 29898735, 108507156, 19490018, 9919743, 107832548, 21705625, 55404743, 23580742, 61987849, 166638039, 72597261, 64567470, 124972417, 109164543, 64278868, 191320393, 118014743, 59102150, 7171830, 26014536, 36602426, 46999434, 207452394, 28838023, 28456575, 97929130, 164215030, 182997948, 76344596, 10098227, 53608172, 33395442, 16706582, 59929893, 83957561, 38873091, 20876282, 94420609, 11128502, 18298946, 94644189, 27307485, 12467909, 105698814, 39177978, 87031454, 27041532, 76316761, 19249411, 9057749, 48418302, 16703008, 14250187, 619161, 23136344, 20660426, 143590005, 171384407, 73828439, 28854300, 7492623, 53375586, 29617802, 62289908, 5229812, 47946239, 43573138, 75845201, 82379273, 207472463, 67166017, 64410245, 315305149, 34087252, 60476281, 38484741, 23450023, 158270542, 79165971, 128530941, 23971105, 108892514, 57250368, 54283146, 44991162, 50267757, 9219250, 39902837, 83135938, 28594756, 49228118, 6464083, 4241466, 55241413, 53069861, 54663602, 115300485 ], [ 6925873, 1087204, 20551867, 74511019, 97635689, 7829423, 81223123, 10728620, 7078889, 28915564, 22907577, 1616244, 61308600, 39175709, 57273016, 21736456, 18518610, 72198718, 13840959, 91072366, 29984501, 117155708, 28222504, 5644916, 6633985, 3571107, 9823384, 9297054, 4139590, 9811063, 161814754, 30479417, 33588870, 18212595, 9919743, 15893949, 43097102, 50352180, 23580742, 23987576, 96669871, 26317362, 59828207, 52801849, 45109329, 8738751, 4572319, 14156480, 212705378, 26018692, 26014536, 2581907, 12789386, 42624056, 84521005, 13802806, 15708396, 34742023, 14648640, 37535908, 15152438, 21538374, 10055390, 36769191, 2663878, 25610046, 69275328, 3498867, 35153933, 8937545, 1927362, 36746352, 26179740, 29465692, 20588532, 9022882, 91680315, 31532024, 6025435, 19249411, 32213865, 33612121, 40525522, 4420550, 5486232, 23136344, 12753980, 24808146, 20846534, 20315466, 15228439, 7492623, 46722981, 19222845, 15727200, 5232805, 30470415, 71225798, 147136638, 127515578, 56615439, 22447868, 12279330, 44385067, 47643464, 54920280, 146392488, 21571738, 32211393, 7602098, 79237933, 66633566, 34900327, 94820834, 56142215, 22788190, 14187457, 30194707, 24346444, 51565532, 53923074, 45570904, 87110961, 4241466, 74621554, 44785241, 39011870, 20795764 ], [ 43866048, 6855765, 13376159, 22543064, 136245013, 86859633, 2561797, 227765, 47429823, 194663439, 41052789, 58141178, 8799657, 251213652, 60931390, 21736456, 35635354, 61864217, 14502095, 97877958, 69861726, 40021358, 54507159, 109609133, 32404941, 11612650, 9823384, 46274253, 36979083, 9811063, 17570951, 26632893, 28190702, 19490018, 9919743, 15893949, 3361707, 11901413, 243393, 34063333, 11142073, 14261, 98787651, 14539178, 7150152, 49281557, 22487531, 124994686, 58222733, 85786520, 116272562, 4856150, 45328380, 62188072, 10213565, 11735842, 4161656, 7865970, 11163758, 70346041, 33514484, 36211929, 111701824, 18645977, 18767632, 105033400, 74764236, 20876282, 5653064, 11128502, 77103765, 55148963, 12873107, 12467909, 176015694, 51136416, 56091134, 22714767, 145075117, 1081391, 57535088, 56751632, 24766906, 71887035, 619161, 12526600, 6453458, 22901743, 37520657, 58362631, 28854300, 7492623, 33739783, 19222845, 9662602, 5229812, 74196242, 43573138, 75845201, 32328827, 33603882, 6227883, 1328670, 41735519, 73653470, 2904225, 55135727, 30623069, 35164341, 39156272, 21326804, 19797370, 34900327, 138501728, 66486379, 801913, 13807998, 240264722, 24346444, 31463377, 40479672, 67476139, 6464083, 14452983, 11198978, 19034114, 78457530, 1734627 ], [ 197573000, 13262061, 91521943, 27543629, 64758309, 116452203, 12642902, 10728620, 16684911, 94492890, 119367130, 58141178, 40131892, 13949632, 55935084, 168420621, 9046343, 109218945, 145452590, 138673085, 74810741, 10344462, 36114349, 117605892, 8151623, 43176167, 9951146, 158846574, 85673659, 21147669, 45865957, 94089, 1745845, 19490018, 9919743, 53328888, 140274632, 50352180, 9985536, 161680830, 38921735, 74514401, 19444840, 1004199, 75937443, 10914927, 46963576, 28538266, 99622015, 3728851, 26014536, 86665551, 12789386, 211551143, 5206059, 12618545, 45905306, 15912924, 39065278, 53154926, 144405045, 53608172, 17610465, 15008321, 70395739, 4770883, 28258023, 69035520, 50326426, 2292078, 20324473, 93385770, 4760458, 11727128, 137897006, 146629205, 110310418, 43168004, 125598463, 65833656, 76332171, 83175160, 24766906, 39914296, 7835358, 224156855, 119891652, 80584899, 97657349, 11286161, 28854300, 7492623, 77572742, 19222845, 21563954, 5229812, 29659898, 43573138, 211593981, 138836716, 141873989, 6227883, 64410245, 125340561, 100601120, 2904225, 160122026, 7056005, 20953012, 94194490, 31533926, 152283894, 15506915, 3849969, 144199753, 162911, 3207842, 240264722, 39902837, 90507478, 75945811, 24924468, 6464083, 78707398, 55241413, 73640321, 141850182, 82023210 ], [ 42188445, 83328899, 91521943, 74511019, 24276960, 212897517, 81223123, 71961339, 259242669, 37641298, 36711105, 63166684, 71615469, 69439694, 50053741, 9554065, 18518610, 148363555, 149911674, 34658389, 29356258, 183131299, 54507159, 34088334, 2992555, 117016792, 141286325, 2566108, 6605735, 21147669, 182484876, 14104276, 30480996, 19490018, 9919743, 6714110, 255310504, 123969568, 42945998, 109689335, 110115520, 113019781, 98787651, 124972417, 75937443, 37449118, 21595824, 145062040, 28791263, 40579653, 26014536, 36602426, 12789386, 40328191, 98129014, 12618545, 75770217, 40987443, 66967279, 76344596, 10098227, 12895476, 33395442, 156911218, 283321699, 97534541, 74764236, 12512447, 50326426, 11128502, 63598744, 160857500, 14400624, 12467909, 33384915, 99667754, 15179998, 6375504, 111534856, 220942899, 23800554, 256250165, 372899, 183263655, 71345950, 9273436, 382237589, 143590005, 112453422, 73828439, 28854300, 7492623, 72104238, 19222845, 15727200, 5229812, 5674697, 35707345, 75845201, 148252258, 189910615, 88356753, 64410245, 331193925, 165357810, 56049541, 38484741, 21571738, 6803081, 94194490, 3832908, 41421305, 108892514, 58672491, 104275665, 77874438, 39646839, 4263372, 39902837, 51565532, 31507709, 58363570, 6464083, 6335527, 349853773, 113178185, 194455763, 53692391 ], [ 63235793, 16340085, 91521943, 74511019, 33277103, 37410800, 125042370, 35571681, 47429823, 65059950, 38036421, 12308181, 71615469, 75666424, 54864426, 31985110, 18518610, 30826342, 13297470, 29461190, 955235, 59699018, 54507159, 34088334, 8151623, 8219908, 35728750, 101308589, 101972910, 21147669, 29297751, 70712698, 61005189, 6846038, 9919743, 22598478, 85660278, 45732735, 73969883, 14931613, 188043164, 57789333, 49905013, 124972417, 61028661, 37449118, 46963576, 107283634, 111660739, 28824653, 26014536, 87331021, 12789386, 52772735, 57797426, 77085873, 68822773, 57345974, 14648640, 99788052, 129037549, 48287149, 38504136, 48164330, 15181006, 185257282, 78815643, 59442247, 50326426, 11128502, 140177897, 390523476, 104330210, 215436, 20588532, 152285872, 15179998, 49117104, 95255415, 74104424, 23800554, 19377587, 24766906, 23507974, 23990877, 11602440, 122076125, 123118066, 63463530, 24041366, 28854300, 7492623, 8702321, 23027137, 27740600, 65146730, 9904138, 15323433, 8006431, 30702354, 118628762, 45959361, 18592239, 8569778, 80779588, 95983432, 1311736, 95583201, 35164341, 204724165, 22496294, 152283894, 49504998, 8606757, 240354627, 39529471, 14187457, 127975039, 162226585, 12625905, 31507709, 68012621, 6464083, 78707398, 113887119, 1832243, 233926784, 41313697 ], [ 24568957, 97085922, 91521943, 22543064, 136245013, 41163659, 93158662, 139511402, 31816588, 5812413, 16214473, 59634199, 6423718, 8806267, 149373703, 24524170, 91463296, 30826342, 89692788, 82041498, 169117465, 41601143, 13031264, 48170273, 34078856, 90795550, 112493019, 104169224, 40882240, 21147669, 147213052, 70712698, 127366435, 19490018, 9919743, 158620482, 196077761, 125350875, 189066253, 14931613, 29972900, 19994467, 98787651, 1004199, 89202930, 73069163, 84757146, 21422974, 99622015, 38624254, 26014536, 114988231, 73771643, 58183293, 98129014, 34775875, 1840060, 63465833, 38478205, 256521939, 61606123, 37654963, 84440311, 15008321, 15181006, 147157579, 131606927, 51340179, 94420609, 11128502, 65080746, 36175914, 4760458, 12467909, 51862295, 26237843, 7820994, 63974376, 52221027, 64889486, 11892364, 167155196, 40525522, 132437769, 619161, 183629045, 25127691, 42589233, 129961934, 25094664, 28854300, 7492623, 62562029, 19222845, 120530376, 74175936, 37119810, 43573138, 90706319, 8258553, 6496455, 27610356, 1537528, 50019746, 21748611, 91764185, 26411399, 7056005, 43070149, 57578459, 31533926, 23971105, 61107429, 259420844, 157498963, 77874438, 50267757, 9219250, 99382268, 11520981, 109432304, 122646293, 6464083, 183702744, 78900336, 110622674, 141514492, 38115469 ], [ 74563733, 86094355, 66941308, 22543064, 24276960, 270127773, 98350183, 34023924, 11338106, 159818149, 63473188, 13158355, 71615469, 174118816, 377217365, 17779986, 75912437, 148363555, 120313885, 138673085, 274219147, 41601143, 54507159, 151823885, 49143293, 43176167, 141286325, 77405465, 34774265, 9811063, 202121714, 70712698, 92420806, 19490018, 9919743, 107832548, 78761210, 53911776, 40708943, 61987849, 110115520, 124550739, 98787651, 124972417, 109164543, 134952567, 46963576, 11350338, 102738802, 85786520, 26014536, 36602426, 48930682, 29314038, 74241463, 13802806, 131621864, 84306054, 11163758, 189267697, 151728190, 94124264, 43978709, 15008321, 57572743, 97534541, 131606927, 11729070, 94420609, 8937545, 18298946, 94644189, 26179740, 12467909, 51870196, 6464550, 142157452, 31532024, 95255415, 64889486, 52527828, 33612121, 24766906, 14250187, 128009434, 23974405, 145460353, 14593371, 56435341, 101121473, 28854300, 7492623, 119276014, 19222845, 208109528, 5229812, 242640728, 43573138, 37039339, 82379273, 6496455, 22447868, 64410245, 23389185, 9260061, 30180049, 58588824, 43313435, 35164341, 68911876, 22496294, 152283894, 5657575, 16923576, 157498963, 77874438, 14187457, 4263372, 24346444, 27407903, 205658011, 67476139, 6464083, 78707398, 151461579, 298790532, 183648095, 8385885 ], [ 22281560, 11311154, 3211232, 30637130, 20278097, 753563, 2561797, 10728620, 11338106, 62138522, 23258688, 13158355, 40131892, 169071449, 57273016, 3882676, 105084046, 1320109, 21654249, 64922813, 7183235, 118009155, 54507159, 9683852, 15072477, 47168326, 70439458, 18140653, 85673659, 18419991, 63812630, 14104276, 92420806, 30705108, 9919743, 18429475, 71870895, 15739239, 23580742, 18721794, 19324021, 10259202, 48053082, 7142420, 39598691, 5564078, 8899107, 33815327, 3358314, 9307004, 2466315, 70627152, 48930682, 7388757, 46287053, 11735842, 4161656, 8221730, 14648640, 47555846, 22719135, 22146385, 27442415, 4081438, 28719645, 23458859, 53084657, 12630352, 31316883, 11128502, 40120666, 3453250, 4760458, 11856924, 32170464, 116247650, 48982349, 32360105, 69629332, 26225179, 45404420, 629887, 372899, 2056028, 8841244, 23136344, 9650165, 13923133, 12375415, 12571273, 10532315, 7492623, 8116193, 12596227, 88914554, 5229812, 2283994, 3374612, 93648340, 81208466, 159855450, 1275801, 21893811, 123391977, 5910747, 23470653, 10649052, 58570577, 35164341, 15309913, 19902972, 61523681, 15506915, 70427007, 23536374, 54885054, 4285659, 50266610, 13259227, 7574241, 22936501, 9601057, 42882095, 12797032, 146748453, 51706520, 30919033, 8385885 ], [ 24568957, 11526341, 91521943, 165942360, 82165241, 753563, 66846431, 130453420, 11338106, 38227826, 10267163, 59634199, 49684318, 19617746, 57273016, 42479857, 79056337, 148363555, 21332256, 138673085, 29984501, 83754180, 54507159, 27832087, 15072477, 47168326, 170375930, 55364061, 36979083, 6468675, 39537873, 29057547, 92420806, 61066514, 9919743, 58796831, 43619839, 15739239, 139381826, 202802, 29972900, 19994467, 98787651, 6247250, 127645131, 37449118, 13430379, 26167072, 82999522, 44636849, 26014536, 43669082, 45328380, 67955405, 74241463, 13802806, 179471924, 69282589, 66967279, 47555846, 98807274, 24643627, 33395442, 57173112, 42556680, 23458859, 131606927, 89174338, 7525916, 11128502, 65080746, 9282362, 6127182, 11856924, 55101405, 66340935, 91380705, 90102240, 113037983, 26225179, 278574, 19618925, 24766906, 45077948, 71345950, 23136344, 47933954, 49641595, 85171382, 169613490, 41389283, 7492623, 78426205, 19222845, 87470056, 5229812, 49803073, 20872299, 8006431, 12353703, 60989304, 20818836, 64410245, 50019746, 82776635, 4900151, 102658799, 72625722, 35164341, 63829230, 135334425, 12753656, 27626080, 194919342, 43036461, 77874438, 9365050, 132187953, 24346444, 11442245, 43942944, 67476139, 37426293, 12797032, 144500420, 56493094, 39011870, 8385885 ], [ 121808568, 53113544, 91521943, 22543064, 136245013, 7829423, 84520266, 4301524, 31816588, 5812413, 33741451, 34246182, 52601560, 13949632, 36634874, 127406295, 35635354, 18897439, 44708668, 834308, 69861726, 41601143, 52292132, 15049102, 13014430, 47168326, 16674892, 114183992, 4139590, 9811063, 17570951, 8067203, 30149025, 19490018, 9919743, 100200947, 85660278, 55404743, 23580742, 36700884, 37678536, 74514401, 98787651, 1004199, 20220556, 36179284, 6524224, 2499592, 34271803, 40579653, 26014536, 32574216, 46999434, 57530021, 74241463, 13802806, 19594764, 63465833, 62839983, 76344596, 87697215, 53608172, 48153480, 76815553, 30342613, 96329474, 32828575, 4267729, 94420609, 8937545, 18298946, 42665823, 26179740, 12467909, 20588532, 34099829, 70022591, 61293000, 169109617, 10251915, 34174321, 33612121, 15827323, 14250187, 619161, 23136344, 24230532, 65859679, 171204528, 12130114, 17324566, 7492623, 25691896, 19222845, 91273570, 5229812, 45218062, 979604, 16826811, 65045025, 6496455, 22447868, 52840328, 75286142, 34087252, 75416898, 14692288, 7056005, 13086775, 78819040, 83419400, 23971105, 87194852, 45408064, 61306308, 12788432, 43651071, 4956964, 24346444, 31463377, 26725647, 5906222, 6464083, 23454590, 55241413, 115487619, 33957623, 6315096 ], [ 12578631, 40212747, 41101970, 7150769, 136245013, 95729574, 9932328, 41655514, 47429823, 43240855, 68735410, 74243328, 17944648, 13949632, 33521235, 63370014, 35635354, 148363555, 6239508, 138673085, 29984501, 170042388, 45982270, 16439853, 48050819, 3571107, 87300, 63918812, 36979083, 9811063, 3661179, 72608530, 130629805, 41557765, 9919743, 18914570, 62666360, 88427717, 9985536, 80415472, 152101415, 105594232, 88147083, 1004199, 85409986, 10914927, 46963576, 28538266, 20667797, 40731773, 26014536, 33709547, 149499012, 25316430, 74241463, 13802806, 6957928, 63465833, 243767169, 76344596, 68185028, 3461683, 33395442, 173936168, 76496025, 4770883, 39338616, 8461208, 30774527, 8937545, 1267708, 166078129, 26179740, 55414275, 27303075, 235806088, 110310418, 6429636, 10845223, 27824878, 76332171, 33612121, 24766906, 116009287, 60151639, 13172975, 9650165, 143590005, 45261817, 73828439, 66873785, 7492623, 45960706, 19222845, 23155834, 31237302, 9898363, 43573138, 75845201, 63975941, 37344077, 22447868, 64410245, 54031989, 51408379, 47788533, 17786957, 7056005, 27759761, 55393996, 31137182, 35646354, 17980645, 175546298, 54283146, 3445849, 13807998, 134744943, 24346444, 94962878, 265955265, 89260858, 308598903, 78707398, 12114064, 113625310, 40871251, 20795764 ], [ 14107149, 75324996, 66941308, 68786783, 27532990, 7829423, 29738778, 20232614, 100987426, 52745285, 42522121, 13158355, 33857819, 13949632, 62728853, 18429975, 7619152, 6679096, 5312691, 131604132, 29984501, 30364939, 54507159, 14011408, 15072477, 20151865, 220629, 22422621, 5462715, 21147669, 124255842, 17945446, 111546882, 528225, 9919743, 22598478, 71870895, 52916695, 44363295, 48807174, 111039082, 94848312, 37126876, 744442, 1523739, 24218499, 78537006, 82196489, 27658597, 22427399, 26014536, 1699799, 10411787, 13554292, 19552087, 11735842, 19417639, 48659399, 14648640, 14786749, 3042389, 35379752, 33395442, 4081438, 758187, 6291474, 30393300, 3934247, 10875213, 11128502, 2459046, 3453250, 4760458, 11856924, 76814743, 9032176, 39107390, 7512679, 36898656, 26225179, 76332171, 19618925, 205135835, 45077948, 12184028, 12526600, 20660426, 34766411, 31459281, 40672145, 413776, 7492623, 61171049, 19222845, 79091183, 75897377, 75069343, 43573138, 5242697, 48566027, 24868546, 47452756, 56306782, 28107, 12240544, 10148911, 40607043, 43313435, 96387823, 56888833, 134330898, 18410371, 42207456, 146385614, 23536374, 51532039, 7578999, 9219250, 353482, 11442245, 104265707, 7595001, 142662399, 3201161, 51266521, 150114905, 33579362, 4643354 ], [ 63235793, 13262061, 20551867, 74511019, 873519, 7829423, 81223123, 9756093, 62466962, 127259109, 94819122, 6951828, 24388200, 154045893, 61860283, 49166487, 18518610, 102060070, 29159332, 21811876, 27970467, 88262117, 54507159, 16439853, 8151623, 115585861, 7868675, 31043805, 4139590, 9811063, 98773150, 9752379, 33744510, 19490018, 9919743, 18914570, 48222143, 50352180, 23580742, 109689335, 122282160, 10259202, 88954935, 124972417, 63641452, 181581527, 96557304, 11190101, 84387194, 40579653, 26014536, 87331021, 8988401, 52772735, 98129014, 12618545, 63710292, 57345974, 11163758, 37539156, 64124675, 46631910, 33395442, 48164330, 25872681, 9567324, 31291139, 53716457, 36603489, 11128502, 63598744, 33324815, 26179740, 12467909, 137897006, 116247650, 210188509, 4232416, 40140307, 19249411, 5989126, 19213264, 121649146, 13973707, 48897944, 23136344, 71541590, 65261005, 21518661, 20315466, 1357031, 7492623, 38993620, 19222845, 25784813, 5232805, 26063013, 43184542, 8136141, 200396371, 141799632, 22447868, 51029709, 32116057, 108598905, 67723193, 14861593, 43313435, 724147, 36831880, 11753871, 51531839, 108892514, 31420260, 91062607, 1778507, 14187457, 9219250, 24346444, 7574241, 87973016, 18566907, 6464083, 39389127, 78854301, 83112910, 54663602, 41313697 ], [ 74420813, 97085922, 38914530, 22700031, 136245013, 91825173, 81223123, 281574122, 16684911, 143606108, 151853792, 74243328, 6376720, 19811681, 64123445, 334119633, 35635354, 30826342, 29159332, 60783830, 29984501, 145346425, 54507159, 1526538, 186264658, 285087, 16674892, 95255271, 4139590, 21147669, 11037895, 9752379, 13784895, 19490018, 9919743, 271565883, 277657016, 2362921, 52462979, 14931613, 11142073, 10259202, 98787651, 69303941, 20220556, 181581527, 10632330, 38078864, 191541003, 40579653, 14745116, 87331021, 51243350, 50658134, 12922445, 34775875, 162803235, 84306054, 11163758, 53154926, 185289642, 163526627, 33395442, 74046888, 110599999, 9567324, 8479096, 71913506, 94420609, 11128502, 20324473, 35693120, 2585693, 12467909, 202437155, 181811687, 100297601, 25369199, 169109617, 19249411, 5989126, 71414976, 29526864, 23507974, 228060825, 23136344, 57954350, 84180915, 92783822, 73828439, 28854300, 7492623, 148138713, 19222845, 103334957, 5232805, 65481466, 43573138, 75845201, 210341802, 6496455, 10206982, 64410245, 105903689, 165357810, 108006668, 26411399, 43313435, 11412452, 17299405, 31533926, 18245555, 108892514, 31420260, 138845373, 12788432, 123359600, 9219250, 56693518, 7574241, 87973016, 131457363, 6464083, 73453512, 208043842, 120708607, 54663602, 41313697 ], [ 24568957, 25627318, 27156500, 74511019, 33277103, 19122126, 29738778, 35571681, 11568794, 233495439, 111297908, 6326504, 52601560, 154045893, 20968951, 4605955, 18518610, 19389943, 43131271, 7746017, 29984501, 98766317, 54507159, 71533130, 8151623, 72224987, 8844194, 19528142, 4139590, 9811063, 2273841, 48525486, 102519462, 103716003, 62796353, 146638087, 48222143, 56882824, 9985536, 2232734, 109594828, 58276869, 66422212, 53333722, 17931397, 8738751, 22487531, 5541362, 73319643, 56346379, 26014536, 77325124, 12789386, 11660676, 19560718, 11735842, 3815868, 6045037, 14648640, 148545785, 64124675, 35379752, 32872819, 7969807, 17242752, 4770883, 10076911, 3934247, 27053691, 8937545, 65080746, 39351485, 26179740, 11856924, 76814743, 28364330, 153599185, 12880547, 19353368, 19249411, 49030490, 33612121, 40525522, 85106042, 5486232, 23974405, 83420987, 38692286, 118562180, 73828439, 68035297, 82454946, 8702321, 19222845, 20334439, 5232805, 113461032, 979604, 46980226, 81208466, 30869059, 22447868, 56859134, 105903689, 63287673, 25335459, 14934828, 1636840, 7451391, 36831880, 24500143, 13856660, 12638436, 45408064, 136240490, 12788432, 8268373, 9219250, 24346444, 4568447, 31670442, 50667015, 15840429, 39389127, 58458180, 14470948, 54663602, 41236674 ], [ 92342668, 97085922, 80172431, 27543629, 70390093, 19122126, 158328829, 10609187, 191901603, 50928834, 113396741, 40185144, 4691642, 61896739, 78773893, 37127018, 369486088, 148363555, 145452590, 56392526, 48757041, 70120030, 49929162, 6185677, 101437440, 292220558, 273758191, 46274253, 85673659, 21147669, 182484876, 206000608, 47875598, 114442327, 14187911, 181488963, 277657016, 62587298, 472962286, 101321538, 76564935, 50010453, 262836346, 17925071, 55324866, 72681927, 84757146, 145062040, 158281515, 87916509, 26014536, 72247099, 51243350, 344488493, 98129014, 232333232, 150297122, 6045037, 11163758, 27780615, 123106573, 163526627, 89098394, 6921616, 316691736, 206536131, 79292632, 20876282, 80335514, 653198, 22704879, 154347737, 43998752, 92646941, 144697420, 215810727, 36851458, 182438260, 52479638, 59621376, 242575373, 629887, 54757914, 152145799, 7835358, 11687333, 44128039, 129853312, 118562180, 94798959, 38381475, 194630, 72281060, 19222845, 129602095, 5232805, 16990973, 43573138, 120942694, 108053240, 142735170, 248652257, 53806064, 192354901, 153067160, 36643396, 74355201, 54216714, 35164341, 354440483, 191505497, 34193788, 47260902, 259420844, 136240490, 77874438, 6292514, 134045925, 35958358, 4568447, 31670442, 251373659, 15652170, 78707398, 235304858, 110288670, 42368502, 158189237 ], [ 6925873, 97085922, 145649121, 14162150, 86909672, 7829423, 86351351, 70631659, 22563479, 68312124, 22226984, 74243328, 56211229, 39175709, 20968951, 51959001, 124340353, 61864217, 51287163, 12230160, 19813516, 46042705, 54507159, 34088334, 21710163, 3571107, 8844194, 46274253, 85673659, 24662601, 32318278, 30479417, 44382301, 19490018, 9919743, 22598478, 28206469, 39566957, 9985536, 2232734, 48979782, 39668587, 53045284, 52687771, 22713142, 11684360, 96064311, 5528881, 96306492, 52133795, 26014536, 30257612, 16073875, 67955405, 17366602, 4960632, 179471924, 6045037, 25272896, 28456691, 15452109, 24647788, 166247101, 7969807, 133278352, 4429395, 57995239, 20876282, 94420609, 11128502, 58691418, 94063515, 2585693, 12467909, 156551480, 67638576, 4192160, 62078491, 52479638, 14881854, 76332171, 151780834, 120198591, 152145799, 44399837, 23136344, 44134169, 13832127, 48669013, 19593982, 28854300, 5193768, 40392646, 19222845, 26139271, 5229812, 56470513, 43573138, 62388662, 32328827, 35340134, 27575029, 46124803, 33373381, 79147676, 3628327, 38484741, 94828708, 27274612, 69728433, 6827926, 18245555, 17980645, 33152929, 70357795, 77874438, 10218410, 2726960, 39902837, 51565532, 31670442, 67476139, 6464083, 78707398, 23136354, 4746681, 101640432, 20795764 ], [ 36165227, 97085922, 56541518, 49501456, 136245013, 29125178, 75869350, 38974554, 41793807, 146809552, 361559889, 49181147, 272546140, 304407056, 47337215, 200324416, 73125700, 85059102, 23074468, 96672537, 102304414, 174630555, 54507159, 34088334, 116257715, 146815176, 2806988, 21223513, 998259, 21147669, 27510879, 286490774, 85984868, 114442327, 240954295, 75586234, 89979232, 220901474, 95976233, 97415937, 138979632, 127431486, 46211749, 327718043, 112968001, 72681927, 255496785, 5528881, 150481908, 75632376, 183790231, 38680821, 182832565, 45244718, 156207902, 28456575, 48212736, 64185138, 68029201, 85967173, 75367759, 7470098, 20827903, 122222249, 25872681, 31666798, 33000115, 241821921, 25010263, 18743995, 34919539, 104722467, 258658760, 28358421, 28001155, 51136416, 5469601, 4232416, 106097577, 81034766, 162291132, 68454091, 54258774, 171092487, 32908317, 11687333, 31450107, 105569440, 35901352, 90478840, 79973538, 25867022, 26591430, 19222845, 149063548, 5229812, 34150386, 43573138, 208340574, 230549723, 53283037, 106473325, 126557528, 28666453, 41675183, 128348999, 19570961, 248651502, 128799836, 39156272, 228357690, 36924670, 54183907, 31735444, 189667419, 77874438, 48719828, 2726960, 39902837, 86263824, 31670442, 63207095, 67065931, 3030832, 178107413, 152577040, 144813731, 70664553 ], [ 175944186, 83328899, 28954775, 70998739, 122211126, 7829423, 28045903, 618812, 9830850, 43540580, 127200058, 6326504, 12314644, 36007802, 30081578, 4605955, 7619152, 19389943, 29159332, 122040695, 29984501, 418179, 52292132, 9848620, 258756271, 47168326, 8844194, 31043805, 4139590, 9811063, 16904080, 9752379, 28190702, 114442327, 9919743, 22598478, 21408795, 57957112, 23580742, 2232734, 109594828, 10259202, 32890320, 124972417, 155067066, 8738751, 46963576, 145062040, 79187697, 56346379, 26014536, 86665551, 78451727, 111117226, 19560718, 13802806, 3815868, 6045037, 14648640, 37539156, 121414083, 35379752, 33395442, 7969807, 758187, 9567324, 10076911, 1110301, 143366853, 11128502, 65080746, 39351485, 26179740, 11856924, 33384915, 28364330, 142157452, 12880547, 52479638, 19249411, 5989126, 71414976, 12952238, 133163494, 36719452, 23136344, 127116339, 13832127, 18932453, 29918338, 68035297, 7492623, 11638314, 19222845, 15727200, 17782452, 18601785, 26937902, 46980226, 29788284, 207472463, 22447868, 56859134, 105903689, 16479757, 2904225, 14934828, 1636840, 11775402, 93124208, 23350213, 13856660, 12638436, 57123207, 91062607, 3410255, 10218410, 2726960, 24346444, 7574241, 31670442, 53424508, 15840429, 39389127, 9124814, 17981361, 28762209, 82023210 ], [ 77924765, 97085922, 20675186, 49501456, 136245013, 7829423, 75869350, 242278957, 339131200, 265085849, 37081856, 6234330, 36188612, 19170202, 78773893, 53446104, 203037258, 148363555, 51287163, 138673085, 48757041, 77374745, 54507159, 13442602, 133564468, 102618931, 10138301, 202500137, 998259, 254801734, 36342808, 45739710, 4810839, 114442327, 126871329, 150401062, 328902594, 32938668, 143721966, 61987849, 24397237, 83518790, 185018724, 124972417, 239972320, 181581527, 193087435, 161035755, 334317541, 292181355, 26014536, 38680821, 142753804, 45244718, 98129014, 28456575, 24442330, 6045037, 14648640, 27780615, 28279774, 163526627, 41935063, 7969807, 53599104, 138530312, 37979439, 10287193, 108343137, 653198, 18298946, 54768859, 134600811, 150838178, 274679480, 116247650, 213298973, 325727645, 52479638, 119723608, 1106720, 10158467, 206745019, 14250187, 32908317, 11687333, 44128039, 143492509, 109984358, 73828439, 79973538, 107764817, 119276014, 19222845, 62289908, 105860579, 43910717, 43573138, 120942694, 67309148, 142735170, 257677223, 41300367, 12439658, 19451382, 36643396, 14861593, 54216714, 35164341, 254881093, 131121480, 36924670, 130058598, 16474561, 10681347, 1778507, 14187457, 119569578, 207444234, 68721987, 31670442, 18566907, 131042723, 4241466, 183176331, 129687135, 258229894, 24776891 ], [ 20266926, 32986793, 91521943, 23371577, 36482628, 67721957, 5481880, 5989259, 44140979, 70369267, 9950689, 15054942, 18266187, 57735337, 30081578, 39070086, 206066800, 4961308, 42310155, 16546424, 29984501, 24691208, 54507159, 13442602, 15072477, 2979008, 8844194, 35639931, 36979083, 9811063, 1447488, 70712698, 111407, 12880190, 9919743, 41163899, 28206469, 12448949, 33784951, 2232734, 29972900, 19994467, 66422212, 28847248, 17931397, 72681927, 46963576, 108287723, 158281515, 29578347, 26014536, 69328267, 6903960, 67955405, 62202479, 13802806, 28570430, 201979721, 11163758, 136370792, 121414083, 21364854, 13560067, 3749366, 21212930, 25610046, 6398732, 1110301, 94420609, 11128502, 101377208, 107498003, 26179740, 6787830, 108674183, 121851731, 142157452, 11807115, 86085955, 10251915, 1106720, 10158467, 15827323, 45077948, 337930713, 23136344, 69146842, 13832127, 39548997, 73828439, 28854300, 473531, 33788022, 19222845, 199466645, 5229812, 56470513, 43573138, 61075791, 19109869, 15648349, 22447868, 57685915, 50019746, 108013928, 10148911, 160122026, 43313435, 11775402, 94194490, 142650543, 113009671, 108892514, 127761169, 12780855, 35045343, 10218410, 2726960, 24346444, 34438843, 31670442, 56318786, 6464083, 78707398, 106996951, 84347372, 39011870, 88366879 ], [ 50473785, 56249051, 13184479, 106354026, 25910147, 94894730, 125310898, 24077093, 40488625, 44400371, 16258516, 48460030, 66162198, 94609065, 82691050, 61489810, 120689685, 44778422, 5312691, 28120117, 67265936, 70110312, 54507159, 227565157, 79409986, 66161767, 10904580, 8874972, 64548217, 21147669, 145809542, 11421235, 108263025, 75366654, 9919743, 112320, 1845578, 43011109, 123229863, 14017762, 15113688, 9788520, 84011763, 7873925, 1351015, 53056393, 24750998, 157027891, 22536941, 34687346, 27794976, 307579933, 55729082, 287034836, 47110452, 2284701, 98932246, 158091833, 66967279, 103803552, 49897025, 163526627, 10055390, 295106120, 17250925, 23458859, 17344429, 4267729, 8109369, 11128502, 65080746, 6038789, 40382748, 93437307, 96064076, 34099829, 27418283, 48922811, 86746536, 7503970, 49723126, 34873776, 24978981, 99854249, 12184028, 201640240, 30001796, 143590005, 1278808, 31631278, 288818131, 7492623, 51208093, 19222845, 48326533, 5229812, 9904138, 43573138, 27524355, 30702354, 17843815, 28210224, 64410245, 62332440, 18629613, 42055225, 134548663, 40290955, 35164341, 13954865, 27146686, 111883092, 5629287, 78092852, 37413968, 45667565, 6742091, 9219250, 39902837, 35167149, 10094996, 44273980, 97906303, 78707398, 333147, 36122947, 40133176, 6315096 ], [ 14107149, 73957937, 91521943, 27543629, 13188584, 44134229, 34444996, 11897524, 47429823, 22783534, 86582729, 35686649, 12907702, 12188205, 113391347, 61074071, 193174726, 21769575, 25046702, 29611179, 13641060, 36175817, 20762379, 3483270, 15072477, 26094442, 17218684, 46274253, 21440549, 21147669, 16729218, 1452202, 77892940, 3021765, 10420116, 98801836, 10975007, 38424988, 12042770, 61987849, 38375191, 17307969, 8121061, 1751202, 7150152, 134952567, 46963576, 76628932, 49456256, 44502532, 26014536, 33810309, 51243350, 63270843, 74241463, 55941243, 75648262, 112431202, 11163758, 100336660, 27386591, 14572170, 44482479, 15779310, 104789369, 6446627, 12232, 4559484, 136008579, 11128502, 9349723, 3453250, 16950518, 11856924, 186444046, 8928777, 117494400, 22464142, 44841138, 14443278, 70737589, 51068483, 24766906, 14250187, 7835358, 306450, 54709359, 7014981, 47087107, 18995160, 40205379, 27273824, 27939939, 19222845, 87932614, 28353269, 16537407, 20716534, 90706319, 32328827, 78773030, 13969355, 42410573, 26167527, 124005458, 25054414, 77257505, 43313435, 96387823, 29184568, 17449333, 13449488, 47260902, 36040155, 23536374, 77874438, 41907888, 9219250, 131913375, 11520981, 80066502, 9601057, 35652117, 49674849, 70869350, 13982955, 32505446, 35772956 ], [ 14107149, 16422539, 13184479, 319642718, 13188584, 178248145, 81223123, 37324728, 47429823, 91792057, 71647099, 55136879, 89693520, 75666424, 23609316, 18429975, 40855158, 34456211, 29159332, 91072366, 29984501, 155600792, 54507159, 34088334, 21710163, 6727137, 16674892, 46274253, 4139590, 21147669, 32318278, 1452202, 36753843, 137646396, 126871329, 22598478, 110448611, 6584236, 19176062, 64448995, 48699406, 10259202, 183420165, 124972417, 41919524, 73705020, 46963576, 33027000, 99249481, 52133795, 26014536, 72386568, 29352916, 37635859, 5467318, 19020446, 31129712, 150389399, 133687042, 82513676, 99758201, 10174632, 33395442, 59464778, 104789369, 23458859, 69275328, 3498867, 6005507, 11128502, 22606648, 53702503, 119224033, 6740528, 99607073, 94449962, 85430830, 36564773, 19353368, 19249411, 35219218, 10859822, 24766906, 45077948, 132605470, 23136344, 112699941, 8155286, 121733072, 23078466, 145700042, 300829785, 47854487, 19222845, 20286424, 5229812, 7265352, 14586481, 178499991, 33298379, 208846901, 79870237, 64410245, 114835017, 7562204, 36643396, 84735281, 116476913, 35164341, 61860210, 15376548, 99755001, 103804387, 42449850, 7738837, 45667565, 2240069, 53582699, 19888394, 7574241, 26880886, 67476139, 17832662, 51240509, 70979084, 36465534, 39011870, 120635486 ], [ 48319627, 46578707, 49801957, 66012748, 136245013, 56087208, 81223123, 134560764, 11568794, 406423866, 151853792, 74243328, 71615469, 57850167, 57273016, 4605955, 259690407, 72198718, 104293349, 83169594, 29984501, 15266729, 21425487, 34088334, 119219374, 6727137, 179826893, 1304284, 4139590, 21147669, 182484876, 48525486, 40148963, 76451841, 9919743, 107832548, 1140966, 127296567, 52425827, 70796687, 122282160, 63148379, 88954935, 52801849, 233872497, 181581527, 81676722, 145062040, 74431455, 223778508, 26014536, 87331021, 51243350, 11660676, 84521005, 163580949, 151746381, 60442642, 11163758, 21313036, 43935746, 66703717, 13590985, 80842483, 17250925, 180770931, 49483502, 117430080, 16242110, 11128502, 357943203, 53702503, 110406079, 6740528, 98752482, 191921736, 27418283, 39444211, 169109617, 19249411, 38633454, 97212073, 11914058, 18073851, 143101784, 23136344, 101819630, 8155286, 111903470, 73828439, 119485024, 7492623, 196627590, 60048501, 163873023, 5229812, 26097747, 43573138, 323299430, 122662315, 222871681, 143406921, 56859134, 210825726, 24670148, 64015764, 3435798, 125334358, 35164341, 81933308, 27146686, 152283894, 108892514, 169850513, 61306308, 45667565, 56154304, 485357695, 12884468, 83135938, 26725647, 86156411, 15840429, 43439840, 7940278, 131167202, 54663602, 82023210 ], [ 224415304, 60321493, 16535260, 109799503, 136245013, 41163659, 81223123, 10728620, 31816588, 26310677, 52315451, 74243328, 48679717, 118472440, 38621066, 18429975, 10545885, 113128695, 35540374, 138673085, 29984501, 83754180, 54507159, 223670021, 15072477, 6727137, 74971727, 46274253, 9394504, 21147669, 216228118, 70712698, 30480996, 19490018, 9919743, 122794647, 31600162, 6584236, 16569881, 78702620, 10758040, 74514401, 98787651, 124972417, 239972320, 109770227, 46963576, 97257504, 231096384, 85786520, 26014536, 60479312, 45328380, 82966007, 23663798, 23871470, 31129712, 66804770, 68601867, 44264287, 35055757, 163526627, 33395442, 26703795, 231197265, 209246416, 12889207, 20876282, 16242110, 11128502, 98702426, 43168855, 104330210, 2993191, 51862295, 62052714, 142157452, 131638582, 169109617, 26225179, 76332171, 18804473, 24766906, 269466854, 66357595, 158250553, 25127691, 19953241, 20337306, 23078466, 10532315, 7492623, 33739783, 19222845, 163961914, 5232805, 74196242, 26946128, 440831011, 22450041, 126783323, 131750855, 12046729, 41082837, 83503572, 10148911, 82004350, 54998635, 53895569, 57578459, 31533926, 70105411, 79920231, 164357371, 7738837, 45667565, 111839695, 135279616, 83215757, 7755034, 40479672, 277962867, 6464083, 20809248, 333147, 131167202, 194437529, 123716021 ], [ 48338175, 38167608, 2064482, 41267235, 136245013, 7829423, 81223123, 37324728, 11338106, 51123545, 30421189, 1616244, 8184013, 95036716, 24390593, 4605955, 44076939, 105028294, 29945449, 30087388, 17088587, 15266729, 54507159, 3483270, 4836413, 6727137, 16674892, 17174765, 4139590, 21147669, 17851763, 9752379, 26409604, 34919709, 37509019, 35451111, 1845578, 63619927, 9985536, 97483491, 12891339, 13424672, 109137698, 52181735, 213999854, 119732799, 31468843, 75061991, 93660692, 61766759, 24941053, 84385446, 8844452, 28863318, 74241463, 214819459, 75770217, 66324518, 25557298, 22157695, 158797920, 78041800, 33395442, 40661463, 4091011, 4770883, 40681939, 11729070, 1067378, 8937545, 47738403, 53702503, 102378232, 6740528, 33384915, 29962433, 27418283, 48922811, 19353368, 12573529, 38633454, 7202544, 7557114, 95990027, 21919640, 57343845, 46094575, 46017388, 1278808, 45315856, 1357031, 149185392, 51208093, 7147071, 15727200, 5232805, 5674697, 43573138, 91356891, 39331384, 6782680, 57329203, 12279330, 41082837, 24670148, 30180049, 14934828, 21571738, 35164341, 90814044, 26595740, 79397894, 1162086, 2523889, 57241195, 45667565, 6742091, 33106781, 31585948, 7755034, 32182005, 67476139, 15840429, 8225840, 7940278, 42018455, 30367010, 8385885 ], [ 50473785, 204400612, 91521943, 96597209, 25910147, 7829423, 40798206, 130453420, 31816588, 69172837, 192890522, 31066633, 12314644, 217923532, 110703301, 36322016, 68076701, 10173560, 51287163, 23242567, 17088587, 46042705, 54507159, 16439853, 4836413, 34039240, 7868675, 15452376, 4139590, 9811063, 50069238, 20960442, 8378264, 87829367, 9919743, 9281703, 94017613, 88427717, 165457988, 55155419, 158735679, 5447914, 84751845, 11844658, 85409986, 54717488, 172487214, 5528881, 324529915, 85786520, 26014536, 38680821, 63144073, 52772735, 98129014, 13802806, 107199860, 6045037, 14648640, 149653581, 125982392, 46481541, 38504136, 7969807, 72999968, 23458859, 40681939, 27139584, 163030879, 11128502, 43677378, 60760603, 26179740, 14565946, 20672687, 116247650, 234830334, 331600116, 19353368, 12573529, 49030490, 240350028, 40525522, 23507974, 32908317, 23974405, 122076125, 43126127, 48669013, 15761147, 119485024, 7492623, 181336563, 19222845, 138232531, 5232805, 113461032, 37954664, 110766261, 32328827, 146751926, 22447868, 59900574, 28666453, 18629613, 129673454, 14861593, 43313435, 222939840, 101462419, 31533926, 152283894, 7788261, 31420260, 192544334, 1778507, 14187457, 5217714, 24346444, 83135938, 32182005, 18566907, 37426293, 4241466, 12114064, 45297224, 50708775, 41313697 ], [ 199560127, 83328899, 213557621, 92065302, 25910147, 7829423, 703725670, 44761288, 11338106, 57824102, 161094161, 74243328, 71615469, 174118816, 161645958, 248273892, 123300023, 44778422, 435357267, 128972561, 274219147, 178444800, 54507159, 34088334, 79409986, 43176167, 230950448, 8874972, 36979083, 9811063, 182484876, 187264413, 92420806, 187666223, 9919743, 225807495, 85660278, 11986853, 12077891, 194479144, 183119693, 65381953, 98787651, 120538421, 56922905, 181581527, 166347001, 5528881, 102949115, 285229743, 27794976, 120801518, 172526369, 300704261, 47110452, 13802806, 31917060, 182765512, 148700907, 218819939, 265254861, 163526627, 164243119, 23951579, 1052135018, 137077539, 153379140, 12512447, 158975681, 11128502, 123763112, 220884734, 26179740, 118429636, 20588532, 116247650, 179762463, 71500726, 169109617, 102085800, 14601617, 15369817, 282044411, 78931735, 179762713, 23136344, 420273723, 85813983, 48669013, 164468550, 223643238, 7492623, 196627590, 19222845, 15727200, 44916132, 9904138, 43573138, 34881830, 30702354, 6168721, 22447868, 64410245, 33373381, 18629613, 60881301, 146392488, 21571738, 73581893, 328108183, 527406810, 152283894, 108892514, 259420844, 240354627, 77874438, 74477566, 271904454, 24346444, 94962878, 10094996, 76350134, 142662399, 30294394, 167879071, 79010236, 57677025, 8385885 ], [ 21126696, 22529708, 35035837, 49195189, 14042960, 7829423, 18376364, 44761288, 110986375, 45149425, 1971811, 74243328, 67887540, 13920403, 136458349, 4016103, 54171910, 100916371, 51287163, 14622772, 69861726, 2352486, 7192050, 5894207, 101437440, 109847517, 1271261, 27137373, 33309695, 21147669, 34202976, 9444588, 40148963, 63774105, 9919743, 103865020, 85660278, 40851815, 41352778, 14017762, 14710611, 68846939, 33430955, 93667746, 33369532, 5564078, 46678479, 28538266, 17323077, 85786520, 26014536, 58364012, 51512369, 11660676, 65380957, 3947219, 29792159, 66324518, 14648640, 37539156, 127012424, 44342411, 79636015, 48164330, 8335843, 45143607, 6859004, 20083775, 17798266, 11128502, 127216809, 30585461, 2585693, 19666403, 20588532, 25210587, 687837, 76425622, 72596379, 67650956, 80116042, 15369817, 11914058, 129599495, 8841244, 23136344, 136229820, 143590005, 79372892, 98322019, 4822408, 7492623, 8702321, 19222845, 29517838, 14346587, 29930575, 15323433, 72868148, 20694858, 6168721, 12981142, 22173503, 15381447, 25781191, 191618995, 47583747, 48105856, 35164341, 5175904, 31533926, 18245555, 34900327, 17107597, 54283146, 13721683, 14187457, 135279616, 79788800, 11520981, 7805551, 67476139, 49110469, 62255495, 97987349, 49757387, 54160548, 86556475 ], [ 114125859, 56249051, 91521943, 217515711, 25910147, 168197060, 82241178, 44761288, 47429823, 71013518, 36807918, 58519521, 71615469, 59370111, 211144816, 61751819, 6159804, 58008113, 212393974, 84936858, 48757041, 202306267, 48133062, 109522935, 28444417, 43176167, 163965382, 32887419, 36979083, 9811063, 88590952, 80237950, 71562690, 91141172, 9919743, 23372866, 31600162, 206894540, 58347541, 48807174, 24095429, 24969733, 49905013, 744442, 239972320, 57317810, 46963576, 176757960, 144185530, 72778389, 3254646, 87331021, 211481240, 211551143, 74241463, 13802806, 24442330, 71019915, 14648640, 16330527, 315269703, 51921857, 216951, 46870146, 63153603, 8767110, 26176988, 12512447, 24226835, 11128502, 47738403, 73698525, 26179740, 13752420, 33384915, 53199481, 39107390, 103189312, 95255415, 21767430, 14601617, 15369817, 24766906, 26791723, 175162716, 23974405, 143989921, 28151729, 36523646, 73828439, 223643238, 7492623, 8702321, 19222845, 15727200, 140188466, 103452123, 15323433, 110766261, 45332682, 6168721, 22447868, 64410245, 44385067, 18629613, 36643396, 67413215, 21571738, 24606677, 9621699, 296991495, 50440991, 62702179, 57620478, 38665673, 40457437, 14187457, 30194707, 24346444, 22717768, 10094996, 136684937, 157878091, 3068201, 98958319, 79010236, 73978564, 111255621 ], [ 62746527, 97085922, 91521943, 2009822, 63151859, 161116741, 81223123, 10728620, 31816588, 34479009, 151853792, 31066633, 8799657, 307610120, 57273016, 2978913, 21648735, 148363555, 74396424, 131129715, 29984501, 115028916, 54507159, 34088334, 15072477, 46559750, 218836633, 31043805, 4139590, 21147669, 145809542, 25499364, 8378264, 66792712, 36406136, 176340726, 140274632, 125350875, 23580742, 90215954, 56845272, 17939443, 88209543, 124972417, 212498715, 12150853, 17429274, 50462739, 43057134, 223778508, 26014536, 35578335, 74560294, 67955405, 2738498, 10654555, 29792159, 7865970, 14648640, 320215877, 125982392, 35379752, 33395442, 48164330, 77097147, 23458859, 131606927, 71913506, 21940924, 11128502, 79206810, 167666135, 65771, 11856924, 29083641, 29034, 2559344, 138757696, 77948442, 11209908, 66369083, 73455007, 24766906, 145073356, 210145180, 23136344, 61441404, 43126127, 42460052, 72244029, 66673514, 350346165, 29804875, 5981877, 228821759, 5232805, 113461032, 16829863, 70129513, 22389531, 34463257, 13573695, 64410245, 7688973, 165357810, 18769979, 112216100, 43313435, 35164341, 147130091, 44738640, 19157688, 93898343, 215154493, 81716102, 9524705, 14187457, 9219250, 79788800, 34438843, 71644140, 100173499, 42386113, 78707398, 76041834, 298087002, 32424588, 123716021 ], [ 14072123, 14158850, 91521943, 7150769, 136245013, 69366484, 52035445, 130453420, 1554397, 60224892, 60840185, 31066633, 7434452, 42278554, 49479910, 2938367, 76141940, 117563803, 127120334, 98680783, 47050534, 46042705, 54507159, 68051418, 20276879, 56686433, 7868675, 20196940, 4139590, 9811063, 108267654, 125103410, 8378264, 86439671, 15746769, 23372866, 277657016, 78816523, 58347541, 80415472, 74983223, 4472817, 248508314, 101311967, 3538355, 926408, 271065143, 71391622, 145429447, 1262880, 155917218, 20481205, 45328380, 49755262, 17366602, 13802806, 31345457, 120102322, 27541038, 17090967, 41515455, 163526627, 41383595, 201176972, 77097147, 23458859, 107754139, 87689626, 71850794, 11128502, 19094705, 57092899, 26179740, 60270550, 105449809, 24628625, 93634146, 111510783, 29846511, 4062897, 91957276, 167155196, 4921097, 152145799, 12431255, 35927585, 53873620, 32981373, 52984891, 73828439, 1514068, 203950017, 23401976, 19222845, 97838497, 5229812, 113461032, 37954664, 114793140, 30089282, 22953946, 22447868, 22173503, 96206678, 108013928, 10148911, 91192089, 43313435, 35164341, 9960632, 31533926, 49867687, 113737700, 51988145, 16698517, 33161295, 78446654, 9219250, 24346444, 34438843, 7805551, 63207095, 169358437, 67571402, 27713915, 420577861, 15608376, 12517399 ], [ 21126696, 45489205, 9024081, 18520017, 20575356, 7829423, 29738778, 130453420, 31816588, 56281284, 33741451, 74243328, 71615469, 2662955, 57273016, 508383, 34670150, 64268841, 20245054, 117408930, 29984501, 46042705, 49474096, 21110622, 15072477, 47168326, 26888112, 44688490, 4139590, 6847388, 92595465, 118197882, 6538953, 90961544, 7603521, 41163899, 140274632, 48303051, 41352778, 76116102, 132020200, 39668587, 33430955, 6710159, 39598691, 181581527, 46738165, 23503598, 36550434, 55088100, 26014536, 87331021, 141616975, 67955405, 34066122, 10654555, 31917060, 6045037, 9080683, 161695265, 43117440, 65073753, 33395442, 7969807, 77097147, 11824112, 131606927, 3934247, 18270592, 11128502, 117040702, 153228347, 26179740, 11171053, 29826967, 14124872, 142157452, 87277172, 52479638, 19249411, 206468708, 80823857, 24766906, 99400171, 35134168, 23136344, 12729630, 143590005, 52984891, 59124263, 92229190, 7492623, 1874192, 19222845, 21583160, 5229812, 50727531, 6371671, 28929672, 9350717, 126783323, 22447868, 64410245, 51432934, 3452385, 14180180, 16146475, 43313435, 1712598, 53385596, 24390835, 70875298, 42207456, 83085621, 12554272, 71561743, 74477566, 9219250, 1231057, 34438843, 83221069, 67476139, 142662399, 99338807, 27713915, 29646304, 4877026, 10384455 ], [ 14107149, 13262061, 8407913, 30637130, 39546168, 7829423, 81223123, 41655514, 31816588, 46223677, 39663434, 74243328, 54880361, 722407, 57273016, 14992945, 40855158, 28824799, 20245054, 477735, 29984501, 32090228, 54507159, 9683852, 92897744, 10406872, 53767925, 266961437, 36979083, 9811063, 88590952, 72608530, 130629805, 91141172, 9520884, 15006975, 85660278, 125350875, 44363295, 37153598, 5492754, 115658817, 55205439, 14539178, 64054485, 8738751, 22487531, 5541362, 131632653, 85786520, 26014536, 72386568, 8988401, 63270843, 90731803, 13802806, 61502600, 6045037, 37915917, 116766472, 18907541, 35379752, 33395442, 7969807, 20576790, 5565191, 69275328, 3498867, 30422587, 8937545, 94932526, 141289550, 26179740, 11856924, 20588532, 28364330, 15179998, 25369199, 29617518, 28496534, 219026603, 11841208, 40525522, 101110842, 155501853, 572220, 9650165, 65859679, 21518661, 73828439, 68035297, 7492623, 17049686, 19222845, 15272083, 5229812, 114536200, 43573138, 108319254, 117826054, 31685210, 22447868, 24666249, 132992065, 10664629, 104883979, 160122026, 18029310, 24606677, 92632129, 13422087, 51492299, 3314149, 108515318, 66486379, 37966319, 4285659, 2726960, 24346444, 22717768, 126367881, 67476139, 123560456, 78707398, 241764087, 95588817, 185868633, 88366879 ], [ 297616339, 97085922, 91521943, 240204455, 111675470, 342900413, 81223123, 41655514, 89195053, 114231240, 89516076, 4810019, 73318425, 722407, 57273016, 120535434, 40553025, 148363555, 104815858, 21641970, 29984501, 3124335, 226998, 34088334, 92897744, 117016792, 70770936, 2566108, 4139590, 18419991, 2273841, 27204284, 15113505, 279518274, 9520884, 73511453, 59625208, 127710363, 240537181, 109689335, 5492754, 122253725, 2746479, 124972417, 7150152, 10914927, 19848542, 28538266, 29601988, 85786520, 25214349, 87331021, 20156581, 67955405, 98129014, 58746990, 128254724, 28179810, 14648640, 121746243, 17386639, 35379752, 33395442, 48164330, 104789369, 23458859, 79036542, 20876282, 16242110, 11128502, 55275011, 131077855, 62233714, 11856924, 186444046, 421586595, 39663821, 22464142, 95255415, 19249411, 283824684, 28654178, 144419362, 24962441, 253020956, 23136344, 107412209, 25678638, 34164230, 73828439, 66873785, 5925314, 78426205, 19222845, 71123078, 5232805, 14537097, 20716534, 150850181, 59239565, 31685210, 52668225, 64410245, 139840833, 83503572, 150049881, 160122026, 43313435, 35164341, 44889348, 31533926, 1910818, 210105831, 90339869, 126226810, 13721683, 14187457, 9219250, 22181686, 7755034, 143609016, 67476139, 35652117, 12797032, 306721294, 120708607, 54663602, 53692391 ], [ 63235793, 65168007, 49482088, 52262630, 136245013, 7829423, 93254813, 70379777, 200164011, 78853222, 151853792, 28429720, 24388200, 77825245, 138028145, 78020389, 228736908, 148363555, 212393974, 40620308, 14381409, 194185315, 54507159, 61630607, 133564468, 182495488, 16674892, 139257896, 15008200, 10505071, 32318278, 48525486, 40148963, 305190264, 9919743, 33748651, 46104878, 94981046, 146720900, 37153598, 158735679, 198544767, 98787651, 124972417, 239972320, 8738751, 85158669, 204926856, 92826717, 32080094, 26014536, 30257612, 51243350, 300096740, 58667145, 36514051, 24442330, 6045037, 11163758, 17090967, 115541820, 48287149, 38504136, 7969807, 17616690, 138530312, 40681939, 273085104, 36603489, 11128502, 47738403, 21934190, 137409740, 202517292, 177618837, 116247650, 254886686, 4232416, 52479638, 79559230, 153316241, 180617129, 11914058, 228571800, 94396060, 23974405, 31450107, 49863845, 34164230, 89974958, 1357031, 7492623, 224758466, 19222845, 62289908, 65146730, 147187091, 43184542, 120942694, 122662315, 177555879, 142890037, 64410245, 139840833, 19451382, 41297766, 160122026, 145603465, 35164341, 5177954, 26595740, 79397894, 53697892, 3457816, 303024978, 37966319, 14187457, 51057592, 114234826, 7755034, 52462013, 164177590, 33962300, 78707398, 23136354, 374028256, 183648095, 114131240 ], [ 82816544, 13262061, 91521943, 36703392, 136245013, 19122126, 7683554, 10728620, 23967442, 16677736, 38036421, 26441380, 25445633, 722407, 57273016, 29285332, 25767622, 5114422, 61191946, 16129055, 14381409, 40642449, 54507159, 34088334, 4836413, 10406872, 70770936, 2566108, 36979083, 9811063, 23266227, 48525486, 37924836, 19490018, 9919743, 34135266, 140274632, 16116809, 23580742, 18016876, 56845272, 58011913, 32655413, 124972417, 7150152, 10914927, 2566975, 5528881, 84387194, 37590260, 26014536, 3549029, 51243350, 34223412, 58723682, 13802806, 47564594, 6045037, 11163758, 85967173, 20121294, 126859771, 33395442, 7969807, 33007520, 23458859, 38873091, 3934247, 91358281, 11128502, 94932526, 21934190, 26179740, 12467909, 71543701, 42335296, 110310418, 34125965, 19353368, 26225179, 72730439, 143561443, 24766906, 23507974, 64355996, 181121, 31450107, 143590005, 9069193, 53672825, 28854300, 7492623, 17049686, 19222845, 62266721, 5229812, 128230575, 33662537, 15364730, 31805665, 60829741, 22447868, 64410245, 31086683, 56136109, 14190046, 38484741, 43313435, 18376199, 94194490, 13422087, 81775280, 42207456, 30976493, 37292709, 13721683, 14187457, 9219250, 24346444, 22717768, 14327451, 203210354, 5579813, 18538359, 27894228, 13483105, 39011870, 41313697 ], [ 81768555, 6855765, 21173329, 22543064, 387779961, 19122126, 34444996, 11122756, 31816588, 198700743, 137834657, 58141178, 25367037, 722407, 56319695, 275755844, 18518610, 35156769, 136048859, 16129055, 97304613, 32090228, 45201766, 16441003, 8151623, 91281102, 16674892, 14624762, 4139590, 21147669, 23266227, 48525486, 33588870, 19490018, 9520884, 180270267, 89979232, 34814590, 65946066, 136808508, 19096358, 124550739, 43150011, 106204423, 58014870, 13373210, 115922021, 124994686, 84387194, 3005173, 26014536, 87331021, 12789386, 52772735, 45390288, 65377468, 194631562, 6045037, 14648640, 70346041, 181126957, 51015431, 32872819, 7969807, 2663878, 23408616, 26348826, 339199, 5802696, 11128502, 66491176, 155687543, 16268261, 12467909, 34667850, 51136416, 163097518, 31134821, 52479638, 19249411, 36040085, 83175160, 9903789, 23507974, 26850711, 23974405, 9650165, 100320188, 74453127, 73828439, 28854300, 7492623, 53375586, 19222845, 54046127, 5232805, 1503253, 45656602, 29411847, 65045025, 49912604, 6227883, 6005134, 117957663, 72897046, 20627281, 102658799, 18029310, 162390990, 10655704, 26152720, 152283894, 3314149, 31420260, 23877489, 39529471, 3207842, 86288786, 130703811, 31463377, 43942944, 19352194, 6464083, 18538359, 26256355, 44785241, 54663602, 35772956 ], [ 4388306, 13262061, 57791115, 27543629, 3857650, 7829423, 93254813, 281574122, 113653614, 146809552, 94819122, 74243328, 71615469, 119523920, 55628023, 120535434, 18518610, 32263299, 29159332, 21811876, 14381409, 283779642, 54507159, 34088334, 8151623, 8027621, 171416224, 2252364, 85673659, 21147669, 182484876, 70712698, 130629805, 19490018, 9919743, 15006975, 277657016, 175444902, 9985536, 194479144, 11142073, 10259202, 32655413, 124972417, 201724902, 181581527, 195170498, 145062040, 181780431, 85786520, 26014536, 87331021, 12789386, 50658134, 84521005, 23754173, 150297122, 6045037, 37915917, 164227185, 121414083, 163526627, 162581792, 7969807, 189214701, 4770883, 31291139, 121142618, 50326426, 11128502, 65080746, 18489437, 104330210, 12467909, 137897006, 29962433, 164224496, 185524520, 52479638, 53956192, 334235957, 123598977, 180760789, 113661063, 7835358, 23136344, 119891652, 22901743, 161819704, 73828439, 28854300, 7492623, 148138713, 19222845, 171302980, 5229812, 49803073, 43573138, 120942694, 58596858, 35437505, 61461740, 51029709, 154933537, 125235179, 150049881, 52925499, 199328976, 11775402, 63829230, 31533926, 1910818, 17980645, 59950458, 144199753, 77874438, 82300461, 2726960, 39902837, 7574241, 43942944, 255556751, 6464083, 14452983, 208043842, 142619239, 51196655, 33148723 ], [ 31298998, 35474631, 20551867, 22543064, 90407784, 7829423, 11334436, 91400823, 11338106, 101863845, 42613959, 343617, 71615469, 13920403, 10297826, 12983464, 45992997, 78876688, 21654249, 28941804, 29984501, 3124335, 226998, 548401, 31517016, 21434280, 112493019, 79277097, 36979083, 9811063, 36342808, 4810979, 26409604, 19490018, 9919743, 18914570, 122829624, 55837967, 9985536, 137291814, 12891339, 91359392, 12920141, 41882169, 39853586, 5564078, 3890878, 145062040, 203710445, 45603943, 26014536, 12016214, 6545228, 30969210, 7834680, 10654555, 75648262, 82466778, 36706812, 937238, 61606123, 91164240, 33395442, 160754148, 468729407, 4770883, 8813615, 71913506, 30422587, 11128502, 3837077, 163134051, 2585693, 12467909, 186444046, 26211148, 48982349, 22464142, 169109617, 61397672, 68493336, 3316397, 23236782, 24962441, 8841244, 23136344, 20142420, 60762338, 4808035, 73828439, 6810807, 7492623, 46605346, 19222845, 66375038, 5229812, 33887047, 14280183, 39356024, 66352478, 269178695, 22447868, 12279330, 15381447, 73333358, 35033547, 118407478, 55492560, 24606677, 94194490, 14870913, 18245555, 1250663, 35539146, 17198390, 77874438, 14935790, 21044612, 17555255, 20672213, 84041842, 50378523, 6464083, 78707398, 81256842, 43194464, 84640108, 8385885 ], [ 24568957, 97085922, 20551867, 453750, 3722470, 7829423, 17837375, 92093921, 23217896, 43540580, 42613959, 17470031, 12975026, 722407, 57273016, 63370014, 40855158, 78876688, 36161704, 42877873, 14381409, 70120030, 36882686, 5971639, 31517016, 11240945, 26468430, 79277097, 30067257, 18419991, 3901026, 30479417, 130629805, 19490018, 9520884, 52372869, 48222143, 100440667, 5438348, 64448995, 125247213, 141557850, 99684469, 17925071, 75406942, 926408, 15905892, 33027000, 29601988, 45603943, 6970183, 56661640, 6545228, 49755262, 16043503, 10654555, 37299034, 6044690, 37915917, 937238, 59533487, 145633933, 32951856, 7969807, 28367226, 8767110, 70797506, 11729070, 58456141, 8937545, 89756829, 21934190, 79314695, 12467909, 55101405, 52102093, 142157452, 62078491, 45844492, 4062897, 145235399, 15992838, 24766906, 45077948, 5633180, 23136344, 71541590, 13271451, 37520657, 73828439, 6882992, 5193768, 23401976, 19222845, 153363585, 5229812, 63781119, 14280183, 8006431, 165188381, 5824541, 79870237, 20110508, 18143679, 165357810, 21198632, 131842456, 62000551, 35164341, 94194490, 20270357, 35839390, 1250663, 90339869, 19785035, 77874438, 123359600, 25344170, 22181686, 66158273, 7805551, 67476139, 6464083, 4842699, 35740572, 58770781, 39011870, 120635486 ], [ 14107149, 22529708, 43749512, 908208, 135070202, 19122126, 50325822, 26192010, 11338106, 85655049, 37497957, 15054942, 71615469, 722407, 71800708, 13561751, 18518610, 44778422, 10828269, 12230160, 12504639, 59986610, 30171390, 5971639, 8151623, 40864887, 9428168, 143192, 4139590, 21147669, 32318278, 41544785, 40148963, 12880190, 9919743, 31577339, 110448611, 26809111, 44363295, 37153598, 5492754, 124550739, 2746479, 1197085, 39853586, 61472621, 19848542, 124994686, 203710445, 22151467, 26014536, 72386568, 6545228, 49643662, 35936643, 11735842, 61502600, 6044690, 17256988, 33823205, 18907541, 42627051, 17758688, 7969807, 9907123, 126029754, 57673774, 20876282, 50326426, 11128502, 25442582, 21934190, 2585693, 10346753, 7495322, 133009624, 116128221, 8338280, 52479638, 19249411, 41231271, 629887, 11914058, 26410859, 5486232, 158250553, 459083, 7014981, 23343725, 73828439, 28854300, 7492623, 2224546, 2279026, 44232101, 5229812, 9904138, 14280183, 17408166, 11632480, 25234297, 18245305, 13100961, 57517191, 58610343, 10148911, 47583747, 185295986, 12821873, 94194490, 14868372, 18245555, 48038885, 3457816, 41599599, 24923242, 34316069, 10451778, 39902837, 1053920, 51613150, 82943343, 6464083, 57850110, 3478530, 43194464, 13252763, 8385885 ], [ 5468845, 120795599, 9024081, 71295377, 33277103, 86558720, 81223123, 270301331, 11338106, 313085768, 11836062, 49310546, 162302188, 40607388, 57273016, 13112516, 36090254, 44778422, 67514902, 138673085, 29984501, 30417262, 49257403, 233575, 135694701, 16157017, 175246016, 39720231, 184445828, 43320712, 120636866, 152572608, 92420806, 90961544, 22427269, 200127108, 102069837, 90589342, 15401438, 194479144, 85422202, 17280545, 45477505, 93323456, 91330508, 26757336, 46963576, 71391622, 57139815, 162166798, 26014536, 117142735, 15119195, 67955405, 17366602, 122424808, 179471924, 93892465, 124904077, 31897130, 66163271, 71369223, 17112204, 208369184, 259146656, 26781706, 107754139, 112192405, 6029628, 9997924, 1316220, 285542332, 85256272, 122116677, 74067010, 152503162, 99119614, 71500726, 98889092, 49279826, 212200573, 194894931, 24248017, 45077948, 265164186, 23136344, 49221285, 124185777, 484891643, 8463552, 119485024, 29312532, 8702321, 209260086, 97838497, 5232805, 9904138, 15323433, 193139177, 9350717, 22953946, 57308569, 64410245, 114835017, 20196655, 150049881, 160122026, 199328976, 26894823, 87503740, 208562994, 70875298, 212922467, 13069568, 22934642, 71561743, 34316069, 85512092, 6556908, 30325361, 530407848, 119178423, 37426293, 78707398, 223595272, 120708607, 39011870, 8385885 ], [ 18711877, 97085922, 34015118, 22543064, 81271257, 117181016, 81223123, 237504888, 47429823, 19692117, 11836062, 55136879, 84520594, 277335885, 57273016, 36941127, 36090254, 69607594, 91145976, 94486123, 29984501, 41601143, 44698635, 34088334, 186710977, 47168326, 84129996, 5573208, 4139590, 21147669, 35045319, 247786119, 130629805, 84314686, 22427269, 21693057, 89979232, 28571661, 117363945, 322344238, 30038884, 17280545, 49905013, 226370938, 3168497, 124693170, 10769015, 120659061, 238474222, 45603943, 26014536, 81939811, 95412116, 67955405, 54048224, 10654555, 164194829, 71019915, 14648640, 937238, 63621519, 116552131, 33395442, 48164330, 176979771, 23458859, 131606927, 59124870, 10875213, 59172820, 22822546, 138020700, 104330210, 60270550, 180962970, 41768460, 135325922, 22464142, 95255415, 19249411, 76332171, 156045941, 24248017, 29736935, 6988186, 23136344, 131190754, 143590005, 52424576, 73828439, 191962791, 7232315, 170575126, 19222845, 163961914, 5229812, 86017614, 20716534, 463879330, 81208466, 81906821, 41466819, 164107112, 114835017, 73333358, 150049881, 9018574, 55492560, 35164341, 90573185, 26874402, 37033987, 93898343, 13069568, 162901039, 77874438, 93242, 218623945, 39902837, 31463377, 63028235, 238844934, 35652117, 78707398, 87931983, 200083722, 54663602, 152199936 ], [ 82816544, 37049060, 27156500, 135265314, 90407784, 19122126, 29738778, 126540515, 16684911, 16677736, 39663434, 30451466, 8799657, 722407, 57273016, 14992945, 80977820, 102060070, 61191946, 50333601, 29984501, 24691208, 52292132, 30265834, 15072477, 46559750, 17558543, 19528142, 36979083, 9811063, 85126550, 70712698, 28190702, 19490018, 9919743, 180270267, 9365476, 95273908, 65946066, 36700884, 122282160, 26317362, 88954935, 78773414, 20723178, 134952567, 4572319, 124994686, 79187697, 32138873, 26014536, 84385446, 31024540, 52772735, 53534476, 5213235, 84948317, 6045037, 11163758, 41044509, 64124675, 75913829, 33395442, 7969807, 328053390, 23458859, 77986125, 3934247, 66039138, 11128502, 1927362, 70976893, 26179740, 12467909, 76432939, 157043154, 162094443, 11807115, 10845223, 26225179, 5989126, 201263231, 197358360, 23507974, 36719452, 53345675, 26321502, 24808146, 34164230, 73828439, 28854300, 7492623, 2785568, 19222845, 31335309, 5232805, 49803073, 35707345, 109505684, 81208466, 6496455, 6227883, 64410245, 112520962, 100601120, 2904225, 102658799, 56759152, 8011989, 20602581, 261926161, 79397894, 42207456, 31420260, 138413768, 11637543, 207388800, 107093154, 24346444, 7755034, 43942944, 45570904, 6464083, 35781802, 136348263, 113178185, 168663, 41313697 ], [ 36165227, 111990303, 91521943, 70998739, 122690649, 19122126, 456443217, 281574122, 65730728, 146809552, 151853792, 74243328, 71615469, 722407, 239835454, 14992945, 73125700, 668319077, 51287163, 128972561, 801601271, 291586848, 54507159, 184872971, 339975945, 459971391, 311684793, 263812695, 4139590, 21147669, 139826489, 70712698, 266716304, 19490018, 9919743, 229013731, 277657016, 74080769, 162586864, 131450834, 158735679, 570585111, 98787651, 105597530, 251836186, 97619336, 771576415, 5528881, 334317541, 223778508, 477170198, 296130903, 219330010, 234840383, 98129014, 7498357, 26550940, 6045037, 14648640, 242517500, 416883383, 280138420, 487499699, 7969807, 14519378, 232504538, 131606927, 292024064, 45906995, 11128502, 344357264, 104722467, 59956362, 12467909, 215549060, 73953910, 626518717, 380982373, 52479638, 19249411, 283824684, 83560842, 532857399, 1045869815, 396695577, 23974405, 127116339, 100320188, 48669013, 126810464, 28854300, 7492623, 167760294, 337348998, 153363585, 135808020, 113461032, 43573138, 120942694, 274390838, 550823957, 490376679, 64410245, 33373381, 495262688, 269482111, 160122026, 124192456, 18682798, 130074440, 364340403, 80205185, 108892514, 532719136, 303024978, 77874438, 14187457, 2726960, 162226585, 83135938, 271186117, 173616290, 6464083, 78707398, 62547840, 258802966, 54663602, 88366879 ], [ 18021975, 37182334, 21330488, 7509703, 119583545, 7829423, 50447466, 99774050, 11338106, 36938960, 63444995, 49301642, 4691642, 29888653, 57273016, 185523082, 124340353, 78537317, 96589875, 56392526, 1549220, 46042705, 48133062, 33438807, 35481354, 2427405, 16674892, 19528142, 4139590, 9811063, 32318278, 51657916, 92420806, 91141172, 9919743, 20001122, 48222143, 65225318, 9985536, 29478518, 85422202, 19494935, 13003303, 84396464, 143039660, 181581527, 40836, 83479361, 10205486, 56346379, 26014536, 7980156, 50984855, 66107608, 17366602, 13802806, 26847428, 6044690, 14648640, 40026291, 64124675, 24647788, 25541630, 7969807, 28367226, 4770883, 49483502, 20876282, 25329720, 11128502, 22704879, 88350592, 26179740, 60270550, 20588532, 100338757, 172998400, 63985327, 49381587, 7071017, 146889284, 99339, 36793278, 24962441, 77254106, 23136344, 127116339, 65261005, 35901352, 56724625, 124592658, 7492623, 71988742, 19222845, 31924856, 5229812, 24616840, 43573138, 20675783, 32328827, 30869059, 22447868, 64410245, 44385067, 76955315, 67723193, 57403827, 43313435, 18682798, 94194490, 168782422, 110091096, 17980645, 33968066, 54283146, 54799413, 14187457, 2726960, 24346444, 6143844, 271186117, 67476139, 18817578, 21025070, 306721294, 1832243, 54663602, 8385885 ], [ 73479357, 73957937, 761466, 70998739, 33277103, 7829423, 157367015, 9575149, 47429823, 124515762, 25213020, 74243328, 8799657, 154045893, 57273016, 206620174, 64993173, 94224087, 44708668, 135368577, 130814572, 17077039, 52292132, 16439853, 31517016, 3571107, 17558543, 37872249, 31281399, 9811063, 175702266, 48525486, 69242502, 19490018, 9919743, 18914570, 48222143, 69478686, 110155120, 36700884, 85422202, 124550739, 98787651, 124972417, 85409986, 8738751, 46963576, 252061102, 14193971, 49316337, 40206018, 30726932, 70541772, 67955405, 17366602, 13802806, 85409508, 6044690, 37915917, 6610976, 64124675, 24647788, 40716085, 7969807, 8508594, 21279826, 80665036, 20876282, 94420609, 11128502, 138177369, 120495860, 26179740, 12467909, 177618837, 116247650, 26633138, 140042500, 10845223, 27824878, 76332171, 51068483, 24766906, 90826362, 26850711, 73621382, 18300747, 34969278, 20415913, 73828439, 21257205, 7492623, 8702321, 19222845, 764587, 1468993, 29580179, 15323433, 46240026, 148252258, 6496455, 22447868, 48659214, 112236543, 128715962, 45561590, 160122026, 6170367, 35164341, 94194490, 26152720, 43746351, 1250663, 194919342, 21042131, 37966319, 142519476, 2726960, 1536601, 94962878, 239147563, 67476139, 6464083, 78707398, 26256355, 33248008, 104040177, 20795764 ], [ 59415811, 14156052, 91521943, 74511019, 8318133, 19122126, 34444996, 10728620, 11338106, 43540580, 214064912, 74243328, 71615469, 39470876, 82691050, 63370014, 18518610, 148363555, 14248063, 131129715, 9469597, 116153520, 45201766, 80802178, 8151623, 23604150, 26202713, 31043805, 4139590, 21147669, 26786137, 48525486, 92420806, 141425153, 9919743, 293670450, 48222143, 125350875, 23580742, 26723723, 36108440, 26317362, 98787651, 119511733, 36597070, 6477136, 115922021, 53726468, 73431428, 56346379, 26014536, 87331021, 12789386, 126181351, 98129014, 34775875, 17500540, 6045037, 37915917, 78718133, 64124675, 24257089, 33395442, 7969807, 110599999, 147458813, 131606927, 71913506, 38614724, 11128502, 1316220, 78631025, 48800647, 60270550, 118389095, 38454805, 216307645, 25369199, 43615876, 19249411, 67199024, 71414976, 40525522, 35163687, 26850711, 25287032, 129190688, 28284679, 20415913, 73828439, 119485024, 7492623, 8702321, 19222845, 264493512, 5232805, 29580179, 15323433, 120942694, 107343912, 6496455, 57308569, 64410245, 105903689, 29603894, 27528998, 183120548, 93866529, 28555509, 170075653, 31533926, 139680304, 108892514, 55223010, 158375120, 42316175, 60428375, 98162149, 162226585, 75163641, 173842184, 131457363, 87110961, 39389127, 26256355, 55744150, 54663602, 8385885 ], [ 1420552, 13262061, 129553377, 70998739, 119583545, 19122126, 17837375, 130453420, 31816588, 68997621, 126856013, 74243328, 71615469, 154045893, 82691050, 125932657, 342013387, 148363555, 435357267, 138673085, 29984501, 25674927, 54507159, 4431609, 101437440, 246121094, 147914446, 9297054, 36979083, 9811063, 3901026, 70712698, 40148963, 19490018, 9919743, 138544464, 48222143, 125350875, 254798113, 12252368, 130175016, 124550739, 98787651, 124972417, 91019674, 8738751, 29968857, 375422674, 123076790, 85786520, 26014536, 72945985, 161036725, 20324184, 16043503, 13802806, 22877542, 6045037, 4507724, 149653581, 64124675, 33577032, 33395442, 7969807, 235194001, 137077539, 103730384, 20876282, 94420609, 11128502, 94932526, 134418637, 26179740, 12467909, 56193605, 9022882, 256403019, 22464142, 9226911, 79559230, 70737589, 406407033, 11914058, 331726517, 169051099, 143099390, 127116339, 65261005, 65392578, 386717728, 28854300, 7492623, 207237546, 47446841, 182533447, 5232805, 137587005, 20716534, 28962659, 122662315, 30779365, 22447868, 64410245, 44385067, 37761538, 67723193, 36849268, 55492560, 35164341, 19320468, 31533926, 152283894, 108892514, 132767123, 19912328, 26406378, 63583366, 2726960, 24346444, 18940024, 113965521, 67476139, 6464083, 78707398, 192257464, 120708607, 34395922, 88366879 ], [ 175944186, 97085922, 11976937, 71041811, 71028686, 19122126, 8269977, 62986925, 11568794, 57514858, 25213020, 64039569, 12592362, 12188205, 5874230, 4605955, 70047183, 94224087, 43663793, 21641970, 6967610, 41442505, 54507159, 34088334, 79909910, 10406872, 10281903, 37872249, 55409964, 21147669, 49928655, 48525486, 4618230, 19490018, 9919743, 22945594, 48222143, 125350875, 240537181, 34253557, 21657208, 90291037, 15432559, 124972417, 20220556, 5564078, 11566492, 2257890, 83503633, 23532525, 26014536, 30726932, 51243350, 188498911, 61661433, 34775875, 31151456, 6045037, 11163758, 78718133, 64124675, 37045068, 33395442, 5679024, 36413094, 218367828, 45249501, 20876282, 1067378, 11128502, 7470162, 94150600, 59439990, 6787830, 98752482, 115006238, 48982349, 155786492, 52479638, 27824878, 34174321, 58411432, 4645415, 8853132, 8841244, 23136344, 46094575, 65261005, 20415913, 23713420, 28854300, 7492623, 33788022, 19222845, 60854711, 1094987, 21590727, 43573138, 10458064, 62043908, 3823135, 208305860, 56859134, 56294386, 128715962, 67723193, 10713433, 43313435, 35164341, 72047483, 13422087, 44608415, 5629287, 58672491, 92056838, 37966319, 90790900, 9219250, 39902837, 33083659, 31611155, 167931216, 6464083, 78707398, 26256355, 12235880, 66425761, 119532830 ], [ 224415304, 32411794, 91521943, 70998739, 119583545, 7829423, 81223123, 117250155, 89195053, 124515762, 116822194, 1616244, 19463265, 75666424, 57273016, 79205732, 124340353, 1320109, 104293349, 21641970, 29984501, 88262117, 54507159, 34088334, 18736851, 43176167, 103891994, 9297054, 4139590, 21147669, 17851763, 70273007, 15113505, 19490018, 9919743, 22598478, 48222143, 167030235, 53249235, 109689335, 22483110, 112945, 98787651, 6562768, 133202078, 37449118, 166347001, 145062040, 14193971, 85786520, 26014536, 86665551, 51243350, 16390216, 2738498, 34775875, 75770217, 6045037, 11163758, 6610976, 64124675, 163526627, 33395442, 7969807, 278110935, 108437190, 49483502, 12512447, 1067378, 11128502, 53990024, 166078129, 104330210, 12467909, 1476990, 9022882, 26633138, 64745809, 44841138, 19249411, 38633454, 51068483, 101750344, 70003802, 23026135, 23136344, 18300747, 65261005, 148962878, 73828439, 21257205, 7492623, 121000705, 19222845, 15727200, 5229812, 296688, 43573138, 30547542, 134020627, 139781038, 79870237, 12279330, 112236543, 83470367, 28337482, 130552723, 21571738, 132646169, 94194490, 31533926, 57043443, 108892514, 161532177, 19912328, 26406378, 123359600, 2726960, 1536601, 51565532, 98344, 67476139, 6464083, 191168843, 39180969, 69491352, 54663602, 75920074 ], [ 20355458, 56680051, 91521943, 4982352, 75913213, 7829423, 134862210, 24077093, 89195053, 43540580, 22907577, 15054942, 8799657, 154045893, 208835143, 21736456, 67539054, 150590485, 436551584, 6868206, 63525171, 83754180, 15384530, 59188506, 32404941, 46559750, 9823384, 6174396, 85673659, 21147669, 32318278, 125103410, 28190702, 8753336, 9919743, 15893949, 37182016, 94696810, 9985536, 68230324, 21657208, 124550739, 77608895, 27009633, 105167882, 1403991, 127703396, 165137612, 102949115, 5757629, 58459900, 35578335, 45328380, 54511595, 47110452, 144444626, 179471924, 6045037, 37915917, 108112636, 10098227, 94095846, 105140044, 7969807, 158806432, 4770883, 39073775, 20876282, 141534, 10382961, 38757949, 94150600, 104330210, 110938309, 155837740, 9022882, 118166320, 40460042, 52479638, 109304672, 76332171, 73455007, 20229254, 140116245, 106760604, 25287032, 127116339, 42591551, 111713296, 25591598, 191962791, 7492623, 17756612, 7284989, 119176544, 49444085, 5674697, 26937902, 39603277, 148252258, 30779365, 13161319, 48659214, 41757874, 100601120, 2904225, 54951571, 129784017, 35164341, 63829230, 14331453, 152283894, 17980645, 128359442, 117178844, 9524705, 60602788, 2726960, 62304008, 92251995, 43942944, 58363570, 42386113, 39389127, 129515953, 22339797, 77461456, 81159617 ], [ 175944186, 13262061, 91521943, 70998739, 99031724, 19122126, 21563711, 19518841, 11568794, 51282922, 22907577, 74243328, 71615469, 19215934, 57273016, 4605955, 18518610, 30524710, 42310155, 21641970, 29356258, 217546494, 52292132, 61891130, 8151623, 52742031, 16674892, 31043805, 4139590, 21147669, 32318278, 9752379, 15113505, 213396705, 9919743, 22598478, 48222143, 125350875, 32765113, 26723723, 36108440, 124550739, 3519318, 53333722, 37033709, 8738751, 91975986, 159106323, 14193971, 85786520, 26014536, 42038107, 12789386, 52772735, 68548286, 4022153, 75770217, 6045037, 23757037, 6610976, 64124675, 764685, 33395442, 7969807, 59294428, 9567324, 80665036, 12512447, 50326426, 11128502, 20324473, 18489437, 7694781, 20496632, 33384915, 113068256, 26633138, 140520111, 52479638, 19249411, 72730439, 180617129, 40525522, 23507974, 2075484, 158250553, 51554938, 65261005, 25668354, 25591598, 19358628, 7492623, 53375586, 19222845, 15727200, 5229812, 49803073, 43573138, 41613335, 107343912, 6496455, 44820657, 56859134, 63440344, 29603894, 45561590, 14934828, 21571738, 11775402, 28840007, 31533926, 67117383, 108328295, 31420260, 144199753, 22788190, 135075803, 2726960, 39902837, 51565532, 43942944, 81292165, 15840429, 57850110, 183176331, 52714874, 51196655, 41313697 ], [ 50473785, 97085922, 14916627, 74511019, 129818506, 7829423, 785404211, 65645020, 65730728, 111941412, 151853792, 74243328, 71615469, 98244051, 77226778, 216749897, 18518610, 231055415, 216343420, 283837851, 155369916, 78747547, 48133062, 81272453, 8151623, 18237481, 349706795, 8874972, 85673659, 356795207, 216228118, 106312647, 130629805, 33614373, 6065635, 271565883, 1140966, 159781768, 162586864, 109689335, 11142073, 100377335, 98787651, 124972417, 140293622, 30626675, 166347001, 375422674, 80482529, 3728851, 469302, 36312557, 12789386, 49649876, 47110452, 92127180, 75770217, 47300489, 14648640, 215634581, 231539970, 163526627, 162581792, 48164330, 14845455, 97492194, 64779567, 12512447, 50326426, 11128502, 140177897, 341283293, 147884076, 77967287, 20588532, 116247650, 71512655, 227789485, 95255415, 167507113, 241282827, 111783027, 141146143, 26791723, 5486232, 23974405, 420273723, 45723755, 223189329, 14683927, 307677094, 7492623, 112610509, 19222845, 15727200, 113269742, 5674697, 43573138, 272014843, 26937213, 207472463, 28210224, 15881944, 64613109, 17674192, 60881301, 60798106, 21571738, 20498726, 356369154, 165813217, 122014743, 95135715, 212933282, 115069051, 77874438, 14187457, 9219250, 401610055, 94962878, 65250478, 76350134, 142662399, 57850110, 214138560, 74719192, 50635892, 158189237 ], [ 155654907, 13262061, 31739132, 52262630, 10405434, 7829423, 34444996, 10728620, 31816588, 148946367, 119367130, 58141178, 8799657, 118060902, 21280646, 15263884, 11748746, 95554627, 194699705, 12230160, 29984501, 78747547, 45201766, 34088334, 8151623, 12564057, 49385758, 75995835, 15008200, 15175546, 135772102, 62884607, 120784223, 19490018, 6065635, 116097973, 89979232, 94981046, 23580742, 35959074, 11142073, 74514401, 16118041, 1795485, 57221722, 3128536, 46963576, 14928801, 145006588, 78224680, 2596899, 36312557, 12789386, 21139736, 74241463, 70302387, 29652311, 7865970, 58771131, 17090967, 43791851, 46481541, 33395442, 16706582, 14845455, 94117363, 53200990, 71913506, 50326426, 11128502, 22704879, 4843872, 43998752, 1839938, 83084241, 116247650, 71512655, 116644873, 52750437, 26225179, 1842598, 46523739, 24766906, 24595797, 6724248, 23136344, 4519966, 78549537, 11551154, 14683927, 28854300, 7492623, 77572742, 19222845, 102852382, 5232805, 47957210, 43573138, 41613335, 26937213, 80789424, 6227883, 21249530, 80596984, 19937624, 58838564, 116390549, 14415215, 86657375, 45063162, 31533926, 16284884, 34900327, 24390536, 144199753, 77874438, 221657, 134744943, 26782976, 60769819, 171017162, 30146841, 6464083, 32373667, 12114064, 58481279, 127634368, 26619903 ], [ 21341086, 13262061, 40672129, 43382058, 65020444, 27874044, 76975234, 10938352, 110370818, 113450913, 33741451, 60680714, 86848865, 18878576, 57273016, 29285332, 23356912, 26464860, 21654249, 16546424, 29984501, 24691208, 27542228, 34088334, 15072477, 117016792, 7304708, 82582567, 18792917, 21147669, 33422527, 1452202, 13192576, 19490018, 7603521, 22598478, 54524910, 28772929, 82979194, 37153598, 108687630, 17280545, 15986411, 1795485, 39853586, 10151165, 26450029, 33027000, 80482529, 41380616, 26014536, 10030682, 17855849, 34223412, 23663798, 10654555, 29652311, 30520751, 44920974, 14786749, 96836464, 35379752, 33395442, 6921616, 14845455, 23458859, 33927200, 102854649, 63046026, 11128502, 94932526, 30023392, 2585693, 11856924, 105449809, 146629205, 31159805, 11807115, 2725695, 26225179, 25257053, 629887, 54757914, 45077948, 25004317, 18759653, 26321502, 125090912, 36523646, 10208794, 28854300, 152026672, 23401976, 19222845, 22589721, 5229812, 29930575, 6371671, 94616277, 26937213, 177962312, 1505041, 12046729, 120276192, 17674192, 10148911, 60798106, 30813211, 24247887, 68911876, 49793696, 18245555, 15506915, 13069568, 57490623, 74931875, 12048869, 134045925, 37044677, 22717768, 7805551, 67476139, 6464083, 43439840, 48084788, 65473043, 39011870, 64625230 ], [ 174162059, 6368540, 17647321, 22543064, 136245013, 7829423, 66896728, 4473913, 47429823, 165094725, 42522121, 74243328, 59422918, 15543686, 57273016, 52548829, 21637467, 52669250, 387799, 12230160, 29984501, 2732058, 22934088, 34088334, 32404941, 28182110, 5164034, 31043805, 79119699, 21147669, 35615106, 118237709, 1349237, 33614373, 17637813, 2579349, 17000075, 23384493, 9985536, 35959074, 122712664, 124550739, 114412716, 107106667, 142302097, 378205, 46963576, 14928801, 84387194, 40548519, 26014536, 15202706, 45328380, 28863318, 1426646, 686575, 55492492, 14301278, 14648640, 37539156, 18907541, 35379752, 8648145, 27213879, 70930087, 4770883, 68520219, 313465, 29510379, 11128502, 93913472, 15097661, 40382748, 11856924, 36177825, 3347983, 40401419, 3496511, 10845223, 10251915, 129403970, 46523739, 24766906, 27200060, 12184028, 7244825, 71982284, 143590005, 1870338, 14683927, 15208981, 33766378, 15273634, 19222845, 79091183, 5232805, 47946239, 19208649, 36972947, 1381698, 6496455, 54089013, 15881944, 20191148, 56046697, 10148911, 751071, 3824292, 60066507, 27070144, 22496294, 75186978, 17980645, 225287492, 53668711, 3516097, 221657, 55204075, 157623906, 7755034, 7805551, 120553436, 3152161, 32373667, 14065824, 137081667, 58167210, 4643354 ], [ 25459491, 52122201, 62919337, 50682523, 35315406, 9308343, 74331353, 10728620, 43779868, 3567963, 33741451, 15642840, 6376720, 19811681, 84147173, 97040366, 105901672, 13983601, 5312691, 19111562, 30045679, 78747547, 54507159, 15707363, 21710163, 28182110, 33264365, 41914876, 85673659, 21147669, 26915658, 35171608, 28190702, 15980260, 6065635, 36994825, 28888652, 242374088, 23580742, 26077590, 11142073, 70121989, 17033934, 52687771, 77024724, 71799137, 22487531, 61890737, 106295078, 40251806, 3182796, 36312557, 107252943, 49649876, 1702447, 86751626, 115416085, 8221730, 4802336, 142015545, 99257009, 94988998, 77435140, 15008321, 4695700, 2402282, 35327432, 11729070, 78717629, 8937545, 42411904, 101002033, 39131753, 12467909, 9552508, 160230254, 142157452, 60945208, 108516778, 88889098, 45404420, 10094442, 5999447, 27200060, 12184028, 23136344, 4519966, 143590005, 26360257, 14683927, 28854300, 7492623, 34459155, 19222845, 26139271, 5229812, 9904138, 19208649, 64520074, 30702354, 38451058, 97384282, 64410245, 137020445, 15798931, 2904225, 114194671, 30813211, 2196629, 94194490, 22496294, 16284884, 1250663, 24390536, 10274320, 7337558, 64456563, 48589709, 26782976, 68513960, 65250478, 47772273, 6464083, 32373667, 80561107, 14470948, 31756966, 61077805 ], [ 21192448, 62837287, 31489282, 7969140, 12844512, 270127773, 81223123, 10938352, 11338106, 201254129, 38036421, 55136879, 69736363, 48954444, 33469254, 273553547, 67175481, 7264410, 5524917, 64922813, 12504639, 6747583, 54507159, 15707363, 15072477, 12564057, 7868675, 46274253, 36979083, 9811063, 36722849, 54835783, 81109563, 19490018, 9919743, 26992503, 89979232, 90589342, 82979194, 7122117, 117965680, 21288678, 15514669, 1795485, 39598691, 149216992, 23580215, 11190101, 121717978, 41380616, 26014536, 17702681, 107252943, 49649876, 74241463, 13802806, 35333675, 8221730, 14648640, 218819939, 137469791, 163526627, 10055390, 48164330, 25872681, 137077539, 55916820, 20876282, 36603489, 11128502, 15883048, 1921389, 21405115, 12467909, 95551802, 129627207, 142157452, 4232416, 44841138, 26225179, 45404420, 51068483, 24766906, 64613131, 25004317, 23136344, 69424506, 21658095, 44415921, 229681699, 28854300, 7492623, 64322373, 19222845, 58284373, 5229812, 9904138, 43573138, 259457550, 30702354, 6496455, 22447868, 22757484, 112236543, 165357810, 58271000, 38484741, 68813965, 32179027, 94194490, 22496294, 16284884, 34900327, 10200992, 158375120, 7337558, 14187457, 37359277, 24346444, 94962878, 53923074, 67476139, 6464083, 32373667, 38698987, 1832243, 71912535, 8123156 ], [ 87733816, 65502159, 91521943, 34714833, 43322473, 9308343, 149066583, 270361887, 248123826, 220252659, 102601982, 32454612, 1954083, 62120632, 54450694, 21736456, 68076701, 10053466, 63583651, 131129715, 69861726, 75418855, 7097485, 35448400, 15072477, 11444678, 7868675, 31043805, 60254139, 21147669, 80691168, 35171608, 46035848, 19490018, 5316397, 15893949, 11560788, 158934522, 217041723, 17827532, 334828, 334486522, 98787651, 109708325, 39598691, 109407790, 181526769, 114697515, 84387194, 40548519, 26014536, 87331021, 3002864, 79256474, 54413825, 351993276, 172583182, 23528046, 217126157, 221127417, 104530818, 65502177, 166247101, 74046888, 25872681, 12230464, 9199391, 111905027, 36603489, 11128502, 42411904, 382410277, 191834795, 12467909, 159638628, 67053694, 94671262, 4232416, 65295736, 26225179, 4722340, 38620335, 96580141, 140116245, 104143518, 21343236, 4519966, 121374434, 74453127, 73828439, 28854300, 7492623, 34459155, 19222845, 9963648, 9929915, 30000454, 10682269, 45110421, 83966581, 31953348, 79870237, 64410245, 52119768, 165357810, 58271000, 180078077, 7617984, 102857154, 15566140, 60361613, 16284884, 34900327, 24390536, 112864324, 75893528, 64812788, 38635544, 26782976, 60391376, 21759941, 67476139, 6464083, 32373667, 81053447, 29412268, 107791753, 12550616 ], [ 41276764, 2248874, 14815169, 65638531, 33277103, 7829423, 66400922, 10938352, 11338106, 16677736, 2419756, 60680714, 8799657, 30073193, 23609316, 11438991, 18518610, 26464860, 8552619, 28941804, 29984501, 14888324, 54507159, 34088334, 8151623, 46559750, 6959641, 35306425, 4139590, 18419991, 22056970, 17945446, 40148963, 19490018, 9919743, 31685849, 6525385, 45001747, 9985536, 14136878, 12870401, 30692901, 2411081, 1120881, 23745469, 10914927, 22487531, 5528881, 22709165, 9650350, 3182796, 87331021, 12789386, 24362181, 37146219, 30363827, 36801704, 7865970, 11163758, 69123188, 66163271, 764685, 33261372, 4081438, 4695700, 4770883, 20582211, 20876282, 1140251, 576126, 45071348, 83648515, 2585693, 12467909, 47104719, 94579031, 3875611, 64227072, 24397799, 19249411, 63506446, 16004079, 4921097, 23507974, 25004317, 140764, 59257350, 84534261, 15202585, 11347502, 28854300, 7492623, 1538586, 2279026, 59640216, 5229812, 30587076, 15323433, 1019181, 3962925, 99357158, 15201803, 15881944, 28666453, 47799517, 116747790, 30097089, 26831495, 20953012, 37116579, 17484418, 18245555, 15506915, 20434814, 22994237, 12788432, 4778538, 35768462, 39902837, 7755034, 100862894, 51284171, 2419498, 12797032, 30144140, 2418077, 54663602, 8385885 ], [ 17177338, 22529708, 15359576, 27899268, 96817388, 7829423, 72964549, 10938352, 11338106, 43240855, 3134393, 17470031, 8799657, 43618328, 54241451, 12466442, 7619152, 10053466, 21654249, 25067792, 69861726, 46042705, 23508368, 34088334, 32404941, 455495, 7304708, 4086075, 60471620, 6847388, 4995394, 1452202, 92420806, 19490018, 32802002, 22598478, 28888652, 904925, 22772249, 5907078, 152101415, 2746603, 22970055, 14539178, 23305849, 3128536, 96064311, 23503598, 58800322, 29578347, 26014536, 86665551, 45328380, 27442950, 34066122, 10654555, 27033352, 7865970, 14648640, 82513676, 35213388, 35379752, 39762022, 48164330, 758187, 23458859, 39359423, 20876282, 23333317, 11128502, 3837077, 6038789, 1721996, 11856924, 20588532, 116247650, 7999071, 62078491, 49381587, 31060584, 72967934, 123766262, 144150232, 59312652, 48737309, 23136344, 4519966, 14290980, 15202585, 43076009, 28854300, 12994282, 47854487, 19222845, 26139271, 5229812, 9904138, 43573138, 65524676, 26937213, 27169994, 79870237, 17693913, 2842731, 108013928, 10148911, 1030147, 55115842, 7958284, 45063162, 14870913, 35473449, 93898343, 24390536, 66486379, 77874438, 14187457, 48874636, 18050038, 51565532, 51613150, 57895621, 6464083, 12199600, 19894545, 45228415, 56149371, 7942710 ], [ 77340173, 37850569, 40672129, 2863330, 217259, 7829423, 6143453, 10728620, 20952693, 9112027, 10840374, 57058079, 5453925, 1978556, 4724026, 19376009, 2424597, 48648428, 19955275, 23242567, 17088587, 46042705, 22934088, 5029137, 4836413, 455495, 7868675, 31043805, 36979083, 9811063, 50069238, 35171608, 37924836, 29766318, 7603521, 29029864, 85660278, 11986853, 23580742, 26723723, 14375964, 26317362, 43390070, 11091203, 56922905, 52150253, 10950694, 11190101, 10695493, 14516404, 26014536, 7980156, 12789386, 24362181, 19360243, 5372661, 61502600, 14241066, 13882859, 35222336, 18907541, 20329494, 10055390, 23556993, 4695700, 2901235, 9199391, 20876282, 23333317, 11128502, 27213168, 93385770, 1721996, 60676671, 6876818, 56582168, 71512655, 21076761, 7632166, 25060167, 1842598, 6306853, 4921097, 24595797, 38756631, 23136344, 71982284, 78549537, 52984891, 14683927, 710225, 7492623, 34459155, 19222845, 32685904, 44971985, 11867819, 6371671, 34881830, 26937213, 20436613, 20750624, 64410245, 20191148, 29603894, 5402510, 19010026, 30813211, 19607887, 68911876, 9839641, 24816340, 34900327, 6945812, 15959884, 7337558, 14187457, 85766347, 24346444, 20039741, 53923074, 67476139, 4743548, 30294394, 11031849, 166270172, 7013744, 18168930 ], [ 43866048, 38167608, 25644859, 53684186, 33277103, 7829423, 19673885, 10728620, 25044537, 16677736, 22907577, 16858700, 8799657, 42278554, 36592941, 21736456, 76141940, 148363555, 21654249, 64922813, 11318042, 46042705, 16621108, 34088334, 15072477, 3571107, 9823384, 13365207, 4139590, 9811063, 30221201, 125103410, 13192576, 1422517, 7603521, 15893949, 103432897, 118041557, 16145391, 18750552, 78016063, 39668587, 17055804, 107106667, 24402478, 10151165, 137370384, 98960917, 49456256, 83668150, 26014536, 11815105, 45328380, 22453053, 115547, 13802806, 170515080, 7865970, 68601867, 14786749, 78548461, 35379752, 33395442, 45115999, 14845455, 23458859, 69275328, 3498867, 97703780, 11128502, 3837077, 93445994, 1721996, 11856924, 7495322, 116247650, 71512655, 36564773, 3261094, 19249411, 63723495, 70360465, 40525522, 24595797, 48737309, 23136344, 12729630, 143590005, 15202585, 25591598, 45682721, 100899448, 8702321, 19222845, 20286424, 5229812, 49803073, 6371671, 65524676, 26937213, 230229339, 22447868, 22173503, 126236321, 3452385, 10148911, 16146475, 93866529, 1480233, 29184568, 14870913, 70875298, 45902691, 63331020, 119098157, 22788190, 14935790, 213924070, 24346444, 22717768, 7805551, 44399610, 87110961, 35781802, 81256842, 3053695, 54663602, 10384455 ], [ 100749615, 97085922, 22971336, 27899268, 70390093, 95729574, 3381792, 10728620, 12276053, 81188546, 33741451, 55136879, 71615469, 118060902, 50053741, 216749897, 35635354, 30524710, 21654249, 12230160, 29984501, 32090228, 49929162, 30265834, 275594587, 28182110, 58205030, 43962313, 4139590, 9811063, 14630227, 30479417, 33744510, 19490018, 9919743, 49566664, 26161693, 78204615, 23580742, 129555925, 12257252, 74514401, 16118041, 124972417, 39853586, 11684360, 46963576, 33027000, 57139815, 52133795, 7446832, 36312557, 49711042, 22489912, 23663798, 11735842, 69399563, 71019915, 68601867, 37539156, 101470147, 764685, 33395442, 80842483, 88274678, 23458859, 38376935, 9266678, 16242110, 11128502, 19866712, 3453250, 2585693, 12467909, 224973781, 51136416, 42483440, 62078491, 1398380, 19249411, 76332171, 19213264, 24766906, 93680837, 94149337, 56661115, 31450107, 143590005, 34164230, 14683927, 28854300, 7492623, 47854487, 19222845, 25784813, 5232805, 47946239, 43573138, 7530072, 81208466, 32241125, 14496645, 12046729, 64613109, 79147676, 20930447, 12404195, 18029310, 26894823, 20602581, 26152720, 18245555, 3314149, 75222315, 23536374, 77874438, 14935790, 134744943, 24346444, 7755034, 146416411, 9601057, 6464083, 39389127, 82142274, 95588817, 50635892, 13783201 ], [ 73278332, 13262061, 91521943, 14325490, 136245013, 29709941, 29738778, 10728620, 47429823, 29485134, 19971613, 74243328, 8799657, 11534062, 12809285, 21736456, 91126324, 113128695, 29159332, 25067792, 29984501, 2453672, 23508368, 34088334, 35039571, 455495, 9823384, 71936504, 4139590, 9811063, 2273841, 70712698, 4757817, 19490018, 7603521, 15893949, 51799349, 159781768, 16145391, 64448995, 44288010, 10259202, 374018, 1795485, 23305849, 8738751, 8899107, 145062040, 111660739, 41380616, 26014536, 36312557, 177574355, 16235886, 18316860, 13802806, 137724899, 7865970, 14648640, 14786749, 22719135, 163526627, 33395442, 12197004, 14845455, 23458859, 131606927, 3934247, 23333317, 11128502, 27213168, 14055039, 26179740, 12467909, 28568245, 77334314, 71512655, 74305015, 95255415, 19249411, 9057749, 100430043, 24766906, 42262263, 25004317, 19377510, 43319394, 34969278, 15202585, 43076009, 28854300, 7492623, 77572742, 19222845, 107146911, 5229812, 9245571, 6371671, 125615271, 26937213, 12257796, 22447868, 52718830, 132992065, 9503010, 65929312, 2331077, 32299509, 35164341, 68911876, 60535640, 86657443, 42207456, 170616563, 22984477, 3516097, 14187457, 9219250, 24346444, 7574241, 105179096, 67476139, 6464083, 12797032, 146826578, 251917282, 54663602, 81159617 ], [ 88000718, 21565244, 91521943, 80487212, 125013236, 7829423, 5481880, 126781789, 31816588, 53988238, 19436251, 55136879, 71615469, 139188545, 88260215, 24581982, 60919896, 70241720, 11338408, 97981438, 69861726, 46042705, 29084922, 34088334, 1830157, 3121161, 6116066, 8874972, 4139590, 21147669, 104329566, 12728515, 69607872, 37031527, 7603521, 89765404, 140274632, 3966872, 9985536, 49588790, 158735679, 39668587, 49905013, 99775674, 56922905, 10151165, 46963576, 5528881, 102949115, 31194521, 15383545, 10824101, 3002864, 13392175, 18010919, 16027700, 77833377, 6045037, 37915917, 47555846, 33028130, 11760451, 43978709, 7969807, 46793748, 4770883, 13192871, 52925033, 130917943, 5029475, 47738403, 126197054, 144387996, 59467860, 6876818, 116247650, 65833966, 40748959, 52479638, 19249411, 52194133, 19618925, 24766906, 11346998, 57430810, 22740229, 19628081, 63306276, 10640570, 73828439, 9315550, 7492623, 23401976, 60947777, 62289908, 5229812, 26290681, 6371671, 34881830, 28434005, 27145153, 31481391, 22173503, 28666453, 30339748, 134518649, 30097089, 17494046, 35164341, 68911876, 105040628, 152283894, 17980645, 75181303, 43036461, 12788432, 55381893, 9219250, 39902837, 11442245, 7440492, 39880734, 49223175, 30294394, 83047021, 1832243, 23700203, 7942710 ], [ 18143714, 22529708, 9024081, 29838592, 1773737, 7829423, 5481880, 160607, 31816588, 69172837, 111594686, 58141178, 53310556, 139188545, 88260215, 51959001, 105901672, 10053466, 36662774, 7746017, 16705778, 32090228, 45201766, 67570116, 4836413, 23604150, 40016080, 46274253, 4139590, 21147669, 50069238, 9752379, 130629805, 90961544, 9919743, 386199, 48222143, 59140614, 60575621, 49588790, 129236485, 6511714, 54049957, 93323456, 239972320, 109407790, 2739906, 54643431, 201350384, 85786520, 4981553, 87331021, 2674843, 28863318, 62202479, 16027700, 19594764, 6045037, 37915917, 17090967, 64124675, 157470458, 33395442, 7969807, 27008313, 9567324, 13192871, 20876282, 103367600, 11128502, 42411904, 82257723, 104330210, 1839938, 156551480, 28364330, 142157452, 153006348, 24397799, 19249411, 270545623, 180617129, 24766906, 11346998, 100146968, 155174923, 145460353, 61818259, 52984891, 12571273, 41389283, 7492623, 130462479, 19222845, 62289908, 5232805, 45218062, 3374612, 45110421, 9350717, 56615439, 6227883, 64410245, 32340562, 19937624, 30180049, 47583747, 18029310, 26093144, 150118051, 26152720, 63579621, 1250663, 66465211, 112864324, 77874438, 60428375, 9219250, 63443576, 42452573, 33357946, 109604538, 85358323, 148654646, 83047021, 49757387, 13486249, 59881781 ], [ 47394511, 35124682, 91521943, 112801110, 136245013, 7829423, 69962470, 235867090, 2428921, 58035664, 23414985, 28429720, 71615469, 250434223, 57273016, 13112516, 206066800, 148363555, 21654249, 23242567, 16458821, 46042705, 16621108, 34088334, 4836413, 455495, 10281903, 46274253, 4139590, 6468675, 50069238, 11712567, 68623986, 1422517, 9919743, 23372866, 71870895, 52916695, 58347541, 3894685, 133839188, 21288678, 84751845, 124972417, 217768444, 23438502, 114683428, 26167072, 27658597, 223778508, 26014536, 20481205, 85872976, 67955405, 98129014, 123249159, 103045746, 93623283, 68601867, 3097970, 278130758, 163526627, 33395442, 4081438, 77097147, 115515156, 13192871, 20876282, 23333317, 11128502, 27213168, 13907612, 274128494, 48737734, 229617724, 116247650, 93634146, 331600116, 23137451, 14728659, 49030490, 117314393, 40525522, 144578665, 94396060, 23136344, 4519966, 106921341, 52984891, 25966059, 1357031, 7492623, 116106297, 19222845, 128877241, 5229812, 27308483, 43573138, 165500812, 32328827, 22953946, 48878764, 25804913, 141939249, 64151107, 150049881, 52774061, 43313435, 35164341, 94194490, 26595740, 132459745, 27626080, 3771894, 54283146, 77874438, 9365050, 9219250, 25325763, 34438843, 106358501, 259336814, 54827778, 78707398, 30792662, 244707432, 54663602, 12517399 ], [ 24568957, 35124682, 91521943, 148294583, 136245013, 19122126, 81223123, 89715718, 2428921, 69172837, 138048563, 74243328, 8799657, 75666424, 57273016, 256542786, 70047183, 21769575, 267848365, 12230160, 17088587, 291586848, 23508368, 34088334, 4836413, 46559750, 33146405, 31043805, 85673659, 21147669, 50069238, 94730687, 22077150, 136683891, 9919743, 22598478, 64450906, 33221467, 16145391, 65879175, 38921735, 124550739, 98787651, 124972417, 23305849, 144679812, 55088055, 5528881, 84387194, 78224680, 2596899, 87331021, 132027972, 67955405, 26888288, 10654555, 55492492, 6045037, 14648640, 133788433, 64474081, 19178764, 33395442, 7969807, 77097147, 178345831, 6272103, 11729070, 6005507, 8937545, 53391196, 186302112, 50507071, 23540961, 229617724, 73953910, 353990221, 176216109, 3261094, 88652716, 41445570, 33612121, 27707243, 331726517, 25095896, 23136344, 4519966, 65859679, 28965645, 43076009, 12983430, 7492623, 53375586, 19222845, 153363585, 5229812, 29930575, 6823891, 54356096, 126571547, 87113125, 36104330, 48659214, 33373381, 79147676, 58838564, 52774061, 93866529, 35164341, 63829230, 31533926, 78714924, 22400101, 24390536, 220762233, 77874438, 221657, 113388777, 39902837, 34438843, 43942944, 174383736, 85358323, 32373667, 26256355, 4957152, 209859276, 82023210 ], [ 54150286, 32928414, 113505080, 74511019, 65020444, 7829423, 81223123, 71961339, 59549252, 41997364, 60840185, 28429720, 4691642, 18878576, 61031299, 39070086, 18518610, 148363555, 29159332, 29461190, 29984501, 183131299, 54507159, 71558825, 8151623, 46559750, 16674892, 171229709, 4139590, 48236692, 32318278, 48525486, 4757817, 37031527, 19824095, 103848647, 140460529, 59140614, 58347541, 88624977, 13581108, 10259202, 57256626, 48587442, 148038832, 10151165, 91975986, 204926856, 220904971, 89121664, 26014536, 86665551, 12789386, 42624056, 2219404, 34775875, 20975573, 7865970, 14648640, 63750239, 67373874, 48287149, 33395442, 27329795, 77097147, 8767110, 13192871, 121142618, 50326426, 11128502, 65080746, 104722467, 129111987, 18583904, 105449809, 29962433, 1375471, 100991314, 29617518, 19249411, 25861665, 19377587, 105240896, 67433929, 94396060, 23974405, 164890339, 38692286, 223189329, 13738130, 1357031, 149185392, 23401976, 19222845, 15272083, 5232805, 49803073, 43184542, 19408770, 38867682, 38645547, 15201803, 22173503, 52793063, 9503010, 347534910, 9661115, 173777411, 35164341, 63829230, 26595740, 33582633, 103804387, 38854668, 15882741, 77874438, 14187457, 92925563, 125689619, 7574241, 7805551, 20750769, 87110961, 78707398, 207387265, 65473043, 54663602, 13783201 ], [ 141940707, 40251134, 91521943, 150688735, 33099689, 7829423, 17598016, 83694841, 65730728, 199290890, 151853792, 74243328, 8799657, 89736295, 57273016, 81649614, 14478368, 13983601, 8507876, 12230160, 58345481, 176407070, 54507159, 34088334, 101437440, 43176167, 76728142, 31043805, 4139590, 21147669, 80905844, 48525486, 130629805, 18212595, 9919743, 78170194, 89979232, 23499819, 84598180, 26723723, 36108440, 184815519, 38798069, 24447404, 62500107, 64278868, 166347001, 11190101, 1456237, 7145663, 26014536, 87331021, 55527971, 67955405, 98129014, 10654555, 75648262, 7865970, 30868299, 37539156, 10098227, 163526627, 113146782, 69828298, 180005608, 6378140, 110304335, 12512447, 94420609, 11128502, 235442152, 64549642, 12873107, 12467909, 33384915, 99667754, 112507901, 98826738, 169109617, 19249411, 2886570, 176068714, 84576971, 17277866, 90976407, 9750518, 73803508, 104721923, 14193155, 73828439, 28854300, 7492623, 53375586, 59579643, 15727200, 5229812, 14256406, 43573138, 90706319, 34401533, 8138721, 264615343, 27030575, 277018248, 29603894, 58838564, 146392488, 21571738, 1774901, 94194490, 49678368, 57925024, 27123554, 194919342, 54283146, 5008904, 48268857, 435393011, 5759422, 83135938, 282759339, 58363570, 6464083, 78707398, 44602350, 19034114, 33560528, 82023210 ], [ 35045781, 21603521, 43139594, 453750, 119583545, 7829423, 75867281, 60219136, 92583342, 203580890, 23414985, 68983851, 8799657, 97544519, 53604258, 21736456, 35635354, 1320109, 5312691, 25067792, 7083997, 228018192, 47110789, 34088334, 21710163, 455495, 9823384, 45845223, 4139590, 21147669, 34469220, 9423297, 130629805, 19490018, 22427269, 15893949, 48222143, 282800949, 163467739, 15812072, 36108440, 17280545, 65152095, 67110770, 95721018, 10151165, 96064311, 28538266, 14252704, 85786520, 26014536, 38680821, 57140538, 49755262, 6959220, 10291146, 75648262, 7865970, 14648640, 31897130, 61606123, 46481541, 33395442, 22228517, 223986110, 152204219, 69275328, 3498867, 23333317, 11128502, 27213168, 64549642, 104330210, 12467909, 105449809, 116247650, 63915820, 36564773, 44841138, 19249411, 194619951, 51068483, 36793278, 32193273, 12184028, 23136344, 4519966, 25912085, 96501569, 48543919, 28854300, 106139845, 23401976, 11570406, 9662602, 75897377, 14256406, 14810971, 46884417, 63975941, 107003941, 75820871, 22173503, 112236543, 29603894, 42055225, 92336986, 121010517, 35164341, 105977133, 31533926, 3778534, 61107429, 13069568, 237297449, 13721683, 3207842, 44602585, 22181686, 83135938, 7805551, 52548562, 6464083, 4241466, 11770568, 94521382, 54663602, 38854945 ], [ 4306688, 97085922, 9024081, 74511019, 71028686, 7829423, 1513940, 6423099, 11338106, 57824102, 25213020, 58519521, 8799657, 174118816, 89839472, 62669409, 18518610, 1320109, 25920463, 56392526, 121505916, 16006915, 54507159, 27454299, 8151623, 23604150, 64604053, 8874972, 4139590, 9811063, 162938959, 17945446, 23937603, 90961544, 9919743, 118100605, 85660278, 265864772, 12077891, 101321538, 52161742, 6727927, 98787651, 93323456, 230656843, 52850723, 25605807, 5528881, 34932760, 142673096, 26014536, 30726932, 12789386, 128150839, 47110452, 13802806, 177720195, 7865970, 8909090, 166648422, 68185028, 163526627, 40716085, 48164330, 189214701, 137077539, 110304335, 20876282, 50326426, 59352588, 22704879, 9852270, 26179740, 60270550, 20588532, 116247650, 94992239, 182438260, 76316761, 19249411, 144643058, 62731197, 93224471, 13965190, 87794014, 23136344, 43086049, 10724484, 3572918, 73828439, 91710889, 7492623, 80374169, 108569573, 67882481, 68198898, 5674697, 43573138, 203174720, 9350717, 50742767, 22447868, 47698804, 33373381, 125381541, 134518649, 74355201, 58570577, 118933817, 190974156, 29484907, 147356478, 108892514, 212933282, 166019311, 77874438, 14187457, 106054435, 24346444, 83135938, 103526719, 14508438, 17832662, 23429596, 164623187, 67443357, 54663602, 8385885 ], [ 12249939, 62662752, 9024081, 50682523, 117702412, 7829423, 99240994, 43097201, 30800269, 22539731, 42522121, 39312800, 83125158, 50091355, 91744090, 63370014, 18518610, 35210160, 5312691, 120893494, 121505916, 23701138, 15394990, 34088334, 8151623, 32464945, 195681829, 4010525, 78481948, 21147669, 8933321, 70712698, 13707355, 19490018, 22427269, 386199, 89979232, 90589342, 52793236, 24544053, 36108440, 17280545, 65152095, 46113938, 57221722, 10914927, 2739906, 20323824, 99676746, 26018692, 26014536, 10030682, 12789386, 11660676, 6959220, 10291146, 75770217, 57345974, 14648640, 31897130, 353860349, 46481541, 74749016, 48164330, 103482830, 23458859, 9199391, 11729070, 50326426, 8937545, 22964448, 22631965, 104330210, 12467909, 33384915, 116247650, 6012141, 46389346, 19353368, 108979105, 56276911, 33612121, 24766906, 23507974, 12184028, 19807026, 73515714, 143590005, 74453127, 73828439, 28854300, 57800242, 86044021, 19222845, 15727200, 44430424, 4431326, 43573138, 272014843, 9350717, 107003941, 92239986, 14793777, 114835017, 29603894, 42055225, 3435798, 21571738, 44293605, 58991423, 19506101, 97874053, 72523876, 13069568, 205783845, 13721683, 14187457, 7449837, 3410267, 24598652, 32182005, 19332191, 6464083, 81277898, 12114064, 10163820, 57156642, 41313697 ], [ 240773448, 227595052, 113505080, 277387486, 57868309, 42600000, 94372553, 6876210, 47429823, 220699737, 151853792, 55136879, 13688128, 61206658, 57273016, 11438991, 98507634, 118754552, 33323390, 57593823, 24527967, 2619677, 54507159, 16439853, 21710163, 32464945, 63438142, 46274253, 162940677, 26328454, 182484876, 31437449, 168067667, 371478361, 557360449, 18914570, 140274632, 23499819, 103222417, 26723723, 36108440, 39668587, 49905013, 124972417, 23745469, 31935825, 46963576, 145062040, 99676746, 59082130, 26014536, 50199026, 28551907, 16235886, 17366602, 526434253, 36801704, 71019915, 14648640, 47727306, 253287865, 21788033, 3077044, 48164330, 23802493, 368304506, 107754139, 20876282, 40194446, 11128502, 144596848, 93447887, 104330210, 30575984, 8301896, 235534868, 47998079, 320752848, 95255415, 79371388, 432149660, 156045941, 24766906, 517134886, 371790041, 23136344, 19231646, 96388287, 52984891, 148005474, 157498522, 17160886, 72048117, 18098659, 97838497, 189611671, 225071716, 23126017, 399538869, 28910446, 207298763, 85021603, 64410245, 2244018, 29603894, 115582686, 160122026, 139456235, 35164341, 37116579, 19506101, 66953849, 1957091, 38133971, 1687581, 5008904, 14187457, 35384173, 96056163, 51565532, 56482517, 54314133, 2419498, 78707398, 208043842, 79148097, 8438163, 158189237 ], [ 19594632, 74309003, 9024081, 43872504, 136245013, 7829423, 5481880, 10728620, 47429823, 77985592, 111594686, 61471504, 20820311, 108588767, 57273016, 79405598, 35635354, 78537317, 20245054, 7746017, 29984501, 66223794, 45201766, 16439853, 57166348, 47168326, 17558543, 35538378, 38664319, 21147669, 5774109, 188706743, 13784895, 40203804, 9919743, 18914570, 28656640, 34814590, 23580742, 36700884, 87844608, 8336817, 98787651, 84396464, 58521279, 10151165, 10632330, 57322508, 79187697, 7145663, 26014536, 86665551, 57140538, 28863318, 62754001, 10654555, 3815868, 6088663, 14648640, 59154041, 20167689, 35379752, 33395442, 48164330, 28936922, 6975885, 77986125, 20876282, 16242110, 7789227, 4212940, 159090864, 104330210, 6787830, 36215269, 39739330, 66318927, 114193075, 10161956, 32413391, 76332171, 65878201, 24766906, 109769595, 1150935, 23136344, 9650165, 95200110, 74453127, 2502941, 41389283, 7492623, 9277716, 19222845, 62289908, 5232805, 14256406, 43573138, 69238208, 9350717, 25234297, 14524252, 22173503, 13618800, 30586204, 90330258, 14762684, 79723523, 11775402, 17299405, 24390835, 3778534, 61107429, 32124993, 39482815, 40351438, 14187457, 63080589, 65373577, 94962878, 7805551, 67476139, 76584171, 39724630, 120136023, 6570027, 30919033, 59881781 ], [ 276334223, 74309003, 75095404, 137691632, 125013236, 29897501, 81223123, 36148246, 11338106, 19976423, 42522121, 55136879, 71615469, 13920403, 19890005, 10751710, 35635354, 148363555, 5312691, 138673085, 29984501, 334415318, 54507159, 34088334, 84389921, 11444678, 202725313, 325756812, 85673659, 21147669, 182484876, 68899487, 92420806, 360165874, 9919743, 23589456, 89979232, 11157216, 53354759, 427659565, 60114079, 435211486, 49905013, 14539178, 110184672, 12816601, 46963576, 135792862, 170738643, 26711790, 26014536, 11936606, 246096465, 67955405, 6959220, 10291146, 179471924, 13754759, 111588770, 101497828, 19315989, 163526627, 33395442, 68155298, 148066356, 49495507, 107754139, 49881571, 48950680, 156607656, 136771170, 64549642, 258658760, 70945727, 193878071, 143690441, 127522237, 291705649, 44841138, 108979105, 13761532, 42548340, 24766906, 72534055, 12184028, 23136344, 131833466, 107725943, 74453127, 221539709, 117188876, 7492623, 215378955, 19222845, 79091183, 5229812, 14256406, 43573138, 405678080, 34401533, 126783323, 150645433, 113610139, 15381447, 92325090, 42055225, 160122026, 141236606, 35164341, 8474801, 53651415, 152283894, 42576100, 194919342, 66486379, 77874438, 19061624, 16739323, 39902837, 13484390, 68738892, 126552643, 189424566, 39724630, 97987349, 72532440, 35187146, 8385885 ], [ 6925873, 13262061, 9024081, 27899268, 136245013, 7829423, 81223123, 53339978, 11338106, 74157436, 30421189, 34518685, 71615469, 37073471, 104386696, 38857733, 35635354, 148363555, 387799, 138673085, 29984501, 29555188, 54507159, 34088334, 15072477, 43176167, 1423423, 79277097, 39718218, 21147669, 110960290, 20960442, 18304699, 47000877, 9919743, 36940399, 59625208, 100440667, 86884185, 55155419, 112270271, 79473126, 65152095, 31498261, 1309436, 8738751, 8899107, 86618145, 111185376, 27378245, 26014536, 49228694, 63144073, 49755262, 6959220, 10291146, 4514171, 14301278, 14648640, 33823205, 22719135, 73583630, 33395442, 10703012, 2441553, 23408616, 131606927, 146382436, 106534241, 11128502, 38793192, 64549642, 2845033, 67541478, 20588532, 116247650, 39663821, 25369199, 43615876, 26225179, 67199024, 28654178, 73106493, 72534055, 42126297, 4804257, 71541590, 89511391, 47087107, 55513661, 107951793, 7492623, 23401976, 19222845, 55887444, 5229812, 153710891, 43573138, 114793140, 9350717, 110612239, 203664222, 22173503, 154933537, 156395278, 6358199, 21854338, 141236606, 35164341, 66116045, 31533926, 75624451, 1250663, 36216092, 130565569, 12788432, 14187457, 134744943, 23899550, 90507478, 7805551, 15816928, 37426293, 42732139, 74621554, 120708607, 50708775, 8385885 ], [ 116173051, 6209000, 6087794, 106844904, 125013236, 7829423, 60053269, 70188116, 38287591, 5750430, 108813676, 38739278, 118171570, 311139670, 50053741, 52926680, 79056337, 57228831, 34711852, 12607340, 121505916, 66223794, 48133062, 34088334, 45303754, 47168326, 16674892, 23087117, 36979083, 9811063, 32318278, 18843042, 5807442, 65030050, 442667984, 79103186, 15752055, 39176279, 53354759, 12252368, 84338053, 101718223, 49905013, 24447404, 134264028, 8738751, 3585648, 91116242, 110434910, 147982748, 26014536, 33810309, 84854961, 157383734, 6959220, 10291146, 22877542, 24490343, 32937631, 15659086, 39550190, 163526627, 113146782, 36769191, 15030779, 14256445, 43439155, 61015970, 58456141, 11128502, 65080746, 64549642, 26179740, 6787830, 49304217, 97878839, 74819836, 185524520, 151863899, 108979105, 76332171, 10158467, 24766906, 26791723, 113513050, 23136344, 23668933, 143590005, 85171382, 73828439, 13967341, 114032897, 33788022, 19222845, 39110559, 5229812, 14256406, 26649932, 61738332, 31638322, 25234297, 22447868, 37542637, 114835017, 137334897, 117848962, 36849268, 141236606, 35164341, 22108017, 168782422, 201496898, 93898343, 101871907, 15882741, 37966319, 123359600, 105732253, 1663110, 111673394, 10094996, 136553394, 87110961, 65616844, 226559, 4957152, 33560528, 28598678 ], [ 46836284, 21603521, 77760833, 74511019, 33277103, 7829423, 157367015, 11122756, 47429823, 22783534, 119367130, 55136879, 71615469, 14328569, 57273016, 12428901, 18518610, 78537317, 2635218, 7746017, 121505916, 66223794, 54507159, 55455795, 8151623, 47168326, 2279424, 45845223, 15700468, 21147669, 171385023, 70712698, 5807442, 15044073, 9919743, 70438810, 26677396, 90589342, 60575621, 84901936, 68084259, 19494935, 49905013, 84396464, 16516395, 116921833, 46963576, 76628932, 216350281, 7145663, 26014536, 74487567, 12789386, 67955405, 6959220, 10291146, 105362996, 6088663, 7435824, 70346041, 84459015, 136708270, 48331186, 16204944, 96332177, 8767110, 131606927, 80353712, 50326426, 11128502, 27983629, 48151106, 104330210, 12467909, 29111175, 116247650, 142157452, 100991314, 88687903, 54982372, 70737589, 31268172, 24766906, 72534055, 1150935, 23974405, 18630531, 100320188, 74453127, 48543919, 28854300, 7492623, 8702321, 19222845, 182533447, 295946887, 14256406, 15323433, 46884417, 63858491, 25234297, 75417389, 64410245, 2504667, 137334897, 74299560, 109660734, 90712173, 35164341, 81377413, 31533926, 152283894, 108892514, 42779730, 54283146, 71561743, 14187457, 135279616, 108407458, 48018908, 97353530, 277962867, 6464083, 39724630, 223595272, 1832243, 32505446, 35772956 ], [ 20355458, 14383618, 31489282, 453750, 33277103, 83086094, 7199722, 24139189, 47429823, 14650532, 111594686, 74243328, 8799657, 75666424, 50053741, 32243983, 105084046, 76043902, 5524917, 12230160, 29984501, 231894190, 54507159, 34088334, 15072477, 46559750, 157292626, 31043805, 85673659, 18419991, 35304180, 24998216, 130629805, 84247488, 9919743, 22598478, 52868871, 60030229, 70368511, 7122117, 125121146, 38774842, 43062679, 31729663, 163148567, 90208654, 46963576, 100484894, 374785, 41022321, 26014536, 21583334, 28551907, 28863318, 6959220, 10291146, 108586905, 500064, 14648640, 37539156, 8564501, 125265932, 19248583, 16280603, 65087223, 23458859, 97934412, 122462852, 55697751, 11128502, 25196916, 18313004, 73522015, 30575984, 8301896, 76258876, 116673617, 65625979, 24397799, 26225179, 116799505, 10158467, 188841, 72534055, 81340635, 23136344, 14478024, 25912085, 96501569, 69120244, 157498522, 7492623, 8702321, 19222845, 60854711, 5229812, 3740917, 15323433, 46884417, 81208466, 38867257, 79870237, 64410245, 42464866, 51408379, 1962130, 74355201, 121010517, 35164341, 48503409, 8198026, 117837458, 1957091, 66096628, 31811361, 71561743, 11151568, 248200115, 22181686, 8180147, 1819671, 67476139, 42882095, 12797032, 203720082, 122851400, 169395145, 158189237 ], [ 30931129, 74309003, 80749299, 243340014, 136245013, 7829423, 17598016, 9756093, 75429191, 139605960, 102516458, 43684158, 27368927, 163974945, 5221314, 140112069, 35635354, 69607594, 29159332, 73847348, 29984501, 46042705, 48133062, 34088334, 71670348, 163246600, 56742088, 2539870, 85855441, 21147669, 3901026, 44425326, 130629805, 142116353, 9919743, 70438810, 89979232, 154445268, 142420183, 105173811, 130175016, 10259202, 63811111, 111028700, 187074574, 10151165, 84757146, 87623488, 60031440, 7145663, 26014536, 20584481, 33193090, 49755262, 16043503, 109589355, 75770217, 55503907, 14648640, 37539156, 123106573, 8866430, 33395442, 48164330, 55264198, 35142313, 98447598, 12512447, 7445093, 11128502, 35876154, 64549642, 104330210, 10346753, 20652826, 23018050, 155820961, 80072738, 30783858, 30317019, 162291132, 3536038, 174211755, 26410859, 33741784, 23136344, 482108004, 122981847, 11222272, 45315856, 191962791, 7492623, 23401976, 45528134, 15727200, 72296689, 14256406, 20082573, 192511676, 32328827, 205481808, 144042668, 22173503, 117366179, 137334897, 60881301, 46887196, 21571738, 35164341, 155465739, 31533926, 152283894, 108892514, 13503939, 28771883, 77874438, 14187457, 174477153, 108407458, 7574241, 7805551, 277962867, 7194354, 78707398, 44602350, 4957152, 96655387, 141062334 ], [ 26167352, 16422539, 75095404, 117514230, 89648487, 52767543, 157367015, 76102808, 11338106, 199929194, 70880049, 74243328, 84520594, 61896739, 54864426, 21034128, 35635354, 901280, 54252897, 47373450, 48757041, 30730140, 54507159, 34088334, 84389921, 11444678, 90066112, 46274253, 36979083, 9811063, 2802424, 4131998, 92420806, 306041103, 117974530, 106250424, 31600162, 63631160, 53354759, 50595135, 36774646, 115658817, 65152095, 124972417, 16516395, 5564078, 46963576, 98960917, 99249481, 31194521, 26014536, 11936606, 138726360, 4064623, 6959220, 10291146, 62931609, 76836450, 66967279, 162233167, 10098227, 163526627, 43873508, 6921616, 135698135, 112423991, 57995239, 20876282, 48950680, 11128502, 48265236, 64549642, 26179740, 20330484, 29111175, 94579031, 48982349, 90102240, 29617518, 23467308, 19486843, 42548340, 24766906, 72534055, 8841244, 23136344, 155023364, 25912085, 96501569, 73828439, 32580919, 154357584, 120418407, 19222845, 9662602, 5232805, 47946239, 43573138, 46884417, 12354189, 113821545, 18668538, 48659214, 71066215, 90687665, 36643396, 92336986, 4960043, 35164341, 8474801, 31533926, 201298714, 18456804, 42449850, 54283146, 77874438, 19061624, 35364549, 22181686, 18868967, 117131076, 39880734, 81708627, 42737039, 61812952, 4746681, 43514805, 8385885 ], [ 19594632, 65502159, 91521943, 74511019, 62189098, 7829423, 17598016, 10728620, 20229032, 85692249, 119367130, 60471845, 71615469, 69439694, 208835143, 246589274, 18518610, 172427112, 2635218, 56392526, 88881958, 83754180, 54507159, 9385720, 8151623, 47168326, 2279424, 75995835, 85673659, 21147669, 145809542, 1452202, 39952062, 15044073, 9919743, 100200947, 52868871, 14280868, 23580742, 63351648, 11142073, 65697606, 38235067, 124972417, 3020218, 10151165, 46963576, 5528881, 23899395, 55102866, 124100011, 15280266, 12789386, 49755262, 26888288, 86751626, 172583182, 57345974, 14648640, 52082945, 17639151, 185720306, 90532828, 32744536, 58680194, 23458859, 100139302, 96825983, 6005507, 11128502, 22704879, 64549642, 2585693, 12467909, 1624088, 116247650, 51997502, 153006348, 13613715, 1081391, 41445570, 74732900, 24766906, 23507974, 27261146, 23136344, 19146395, 134674203, 31261653, 73828439, 85141, 7492623, 23401976, 19222845, 96099846, 31224778, 49803073, 3240417, 254266529, 701256, 79162137, 5895889, 20110508, 33373381, 72897046, 4696912, 2476592, 90712173, 35164341, 63829230, 31216632, 18245555, 34900327, 31420260, 161449792, 13721683, 221657, 135279616, 162226585, 94962878, 7805551, 142321113, 6464083, 35335042, 44602350, 2330188, 39011870, 34839164 ], [ 46533037, 13342962, 72569348, 7150769, 8318133, 7829423, 37985077, 30391140, 16684911, 14311448, 81822118, 1616244, 71615469, 13920403, 50053741, 34146926, 35635354, 57228831, 3243022, 138673085, 9469597, 46042705, 52292132, 1943952, 6331239, 3571107, 16674892, 46274253, 7744867, 21147669, 32318278, 11282436, 25166883, 19490018, 9919743, 22598478, 85660278, 39176279, 26662702, 36700884, 152101415, 39668587, 36749696, 36259231, 39853586, 10914927, 293546, 28538266, 25714548, 15061888, 26014536, 7980156, 24439858, 67955405, 6959220, 10291146, 35537402, 12070335, 14648640, 28456691, 54856767, 22146385, 81567638, 15008321, 96332177, 6446627, 25976802, 15472893, 16242110, 11128502, 20324473, 8807783, 2585693, 6787830, 9552508, 22361302, 27867679, 90102240, 66190223, 3400982, 34702901, 6306853, 24766906, 25887271, 64355996, 23136344, 6577428, 25912085, 31459281, 73828439, 23050872, 7492623, 33788022, 19222845, 29517838, 5232805, 5674697, 43573138, 46884417, 32328827, 25234297, 47576577, 12279330, 15381447, 42907494, 10148911, 109660734, 43313435, 22592746, 22108017, 11616467, 18245555, 10387940, 24724983, 8209036, 13721683, 8032366, 9219250, 17740797, 20039741, 10094996, 67476139, 6464083, 4034821, 7276984, 13483105, 23659505, 20569385 ], [ 59303711, 74309003, 91521943, 137461418, 94269496, 7829423, 103215676, 34842381, 25968269, 203580890, 11836062, 31649481, 71615469, 288756436, 295551383, 42286843, 18078326, 281091177, 51287163, 42877873, 35518522, 194893047, 54507159, 5971639, 84389921, 200747968, 13846440, 27073273, 36979083, 9811063, 32318278, 9444588, 101833109, 7359661, 9919743, 19378451, 51447786, 158678515, 32765113, 100807656, 154024058, 124550739, 65152095, 48152615, 18334044, 10914927, 392678172, 28538266, 17323077, 85786520, 59377515, 48322024, 246096465, 17452065, 6959220, 10291146, 73570233, 5222194, 14648640, 39402305, 156295774, 42045524, 13590985, 48164330, 88830417, 48284023, 131606927, 59124870, 47727333, 11128502, 2848511, 60864802, 2585693, 12467909, 20588532, 41768460, 101113196, 72335258, 30783858, 45937881, 229818237, 51068483, 42215109, 63937692, 33741784, 23136344, 195736891, 83496401, 94172840, 48543919, 28854300, 7492623, 57807940, 19222845, 133625491, 241083606, 14256406, 14280183, 34881830, 67418016, 99843025, 22447868, 64410245, 31805790, 137334897, 52147756, 43272475, 81776008, 35164341, 328108183, 31533926, 18245555, 19566567, 75222315, 182291711, 13721683, 14187457, 766958230, 24346444, 94546228, 185175996, 76350134, 6464083, 30294394, 24638621, 39202837, 51219211, 105456023 ], [ 6925873, 74309003, 3161816, 14325490, 47710745, 7829423, 51172059, 80755631, 16684911, 93775910, 33741451, 74243328, 71615469, 39175709, 57273016, 140112069, 12972960, 13983601, 22830762, 138673085, 29984501, 70120030, 7901494, 34088334, 61121399, 117016792, 16674892, 84360537, 4139590, 9811063, 32318278, 19256234, 40148963, 91141172, 9919743, 22598478, 71870895, 23384493, 31879900, 109689335, 85422202, 124550739, 65152095, 17925071, 39853586, 96005939, 3890878, 98960917, 27658597, 15061888, 26014536, 38680821, 51243350, 63061175, 6959220, 10291146, 17628513, 21699071, 11163758, 53154926, 19837700, 66316249, 33395442, 4081438, 17632685, 25610046, 95364233, 82167015, 6005507, 11128502, 20324473, 30247888, 2585693, 18111354, 45725011, 116247650, 91856799, 3496511, 72262860, 19249411, 40305110, 28836487, 11914058, 38994311, 32908317, 23136344, 115067314, 84180915, 26360257, 7830607, 41389283, 7492623, 75492636, 19222845, 54219813, 5229812, 14256406, 43573138, 19502929, 98851641, 104764919, 22447868, 46124803, 38917360, 137334897, 18913367, 14861593, 43313435, 32211393, 27070144, 31533926, 18245555, 27123554, 75222315, 50690106, 1778507, 123359600, 9219250, 24346444, 22717768, 5283439, 18566907, 17832662, 4241466, 69495799, 130600963, 48479572, 36215759 ], [ 36836868, 73957937, 24442142, 70998739, 1773737, 7829423, 35016495, 91366165, 8341602, 57646686, 33741451, 58141178, 32534803, 63070458, 57273016, 57395813, 35635354, 5114422, 116612522, 15163429, 29984501, 176407070, 54507159, 16439853, 136407034, 13176388, 8507778, 45602188, 36979083, 9811063, 23266227, 1583679, 5807442, 14624460, 647128, 18914570, 16406323, 14280868, 50835184, 9782604, 11142073, 48769291, 11952682, 54250145, 28109449, 153062556, 8735872, 33027000, 17788818, 925330, 26014536, 3549029, 43346424, 67955405, 17366602, 13802806, 4514171, 6045037, 14648640, 82513676, 188075970, 56202485, 33395442, 7969807, 2663878, 5380998, 9199391, 116873020, 91358281, 11128502, 64725173, 89081474, 26179740, 3573302, 7064963, 41768460, 1375471, 62078491, 8288164, 116802904, 38080114, 4469193, 5565114, 136972, 34617048, 23136344, 26321502, 34969278, 6355826, 73828439, 97068254, 120288385, 47854487, 2279026, 40648075, 48594798, 14256406, 43573138, 17408166, 118259672, 4516489, 6227883, 7008101, 132992065, 6745202, 59651797, 86000207, 3824292, 96465666, 50557323, 31533926, 99309657, 24112865, 132767123, 9003131, 40457437, 14187457, 2726960, 19888394, 51565532, 98672779, 58438171, 37426293, 18538359, 236557334, 44785241, 50779436, 13783201 ], [ 116173051, 74309003, 6087794, 74511019, 53966626, 42600000, 157367015, 151267841, 47429823, 203580890, 151853792, 55136879, 36234584, 61206658, 89354990, 11438991, 18518610, 78537317, 82464397, 138673085, 70646733, 63913666, 54507159, 34088334, 8151623, 47168326, 1423423, 2539870, 85673659, 21147669, 32318278, 26870932, 87807647, 65706215, 9919743, 70438810, 16958417, 23499819, 240537181, 26723723, 36108440, 13424672, 98787651, 84396464, 23745469, 92174743, 46963576, 100487077, 42823446, 59082130, 26014536, 87331021, 12789386, 211551143, 5775679, 10654555, 36801704, 55503907, 14648640, 35716226, 98807274, 96510512, 56251152, 48164330, 298515635, 61727394, 107754139, 170830681, 50326426, 7789227, 53217957, 64549642, 104330210, 149710528, 12105143, 172141045, 142157452, 258486763, 95255415, 108979105, 67281933, 207607721, 24766906, 21965173, 27512793, 23136344, 23668933, 143590005, 35901352, 45315856, 191962791, 7492623, 191273026, 19172484, 76137438, 5229812, 14256406, 43573138, 238593180, 116978336, 147191683, 449729449, 62887266, 114835017, 29603894, 115582686, 46887196, 94885601, 35164341, 37116579, 31533926, 66953849, 93898343, 47491451, 54283146, 5008904, 14187457, 40859971, 39902837, 94962878, 206508268, 136553394, 2419498, 78707398, 36707521, 130600963, 45338173, 93441626 ], [ 155654907, 32986793, 91521943, 74294844, 88741479, 7829423, 145746913, 149887071, 29304342, 28696083, 148654513, 74243328, 8799657, 157775600, 111395598, 25176011, 18518610, 44778422, 21202462, 128972561, 7183235, 149256898, 42016406, 34088334, 8151623, 46559750, 16674892, 5429691, 4139590, 21147669, 8650165, 17844472, 33588870, 91141172, 9919743, 84108851, 209660942, 37070281, 146720900, 17909326, 161630182, 124550739, 49905013, 84470238, 45606178, 25487878, 45977162, 5528881, 92826717, 54746248, 15491791, 24062813, 12789386, 28922729, 6959220, 10291146, 9772537, 7865970, 22678832, 88419544, 168764261, 51921857, 44960964, 160754148, 2412463, 152204219, 110304335, 20876282, 40194446, 11128502, 80712506, 64549642, 104330210, 6787830, 214764788, 116247650, 68159424, 10001785, 86085955, 19249411, 197780416, 156045941, 40525522, 72534055, 228060825, 23136344, 143989921, 47861984, 32736349, 73828439, 8403455, 7492623, 33788022, 49487457, 200573222, 5229812, 9904138, 43573138, 228022515, 3962925, 61104428, 1275801, 64410245, 26342966, 56839076, 134518649, 85449438, 43313435, 50535783, 33265936, 31533926, 72098003, 108892514, 4939012, 27135751, 50231375, 34069279, 9219250, 39902837, 22717768, 105648214, 63215178, 85358323, 20121064, 82142274, 1832243, 8438163, 71454489 ], [ 103358307, 74309003, 12739251, 157120283, 84104608, 7829423, 81223123, 44304600, 11338106, 137797593, 37497957, 74243328, 8799657, 69439694, 61784651, 140112069, 62149801, 10053466, 29159332, 37690172, 22805599, 46042705, 48133062, 6599394, 15072477, 43176167, 25770133, 2539870, 4139590, 9811063, 24016066, 41544785, 36172907, 40203804, 6192340, 23372866, 70535585, 23499819, 149568152, 26723723, 36108440, 10259202, 98787651, 124972417, 4744490, 10151165, 46963576, 49292607, 42823446, 7145663, 26014536, 35578335, 161036725, 24471481, 41032151, 10654555, 136808199, 7865970, 14648640, 99788052, 171992769, 163526627, 33395442, 18615277, 34247476, 81270623, 31754918, 20876282, 54509151, 7789227, 53217957, 65611756, 26179740, 1839938, 18865190, 107155881, 93634146, 31134821, 19353368, 19249411, 18620575, 13663534, 24766906, 26791723, 1150935, 23136344, 42278587, 8607529, 26360257, 40672145, 119485024, 7492623, 2304875, 19222845, 8190830, 5232805, 14256406, 43573138, 18278949, 7723338, 138193814, 22447868, 15213221, 76427133, 17706355, 84895416, 11724635, 9906615, 96465666, 10655704, 31266826, 38511818, 27123554, 47491451, 9770278, 5008904, 221657, 44602585, 24346444, 7574241, 7805551, 67476139, 42386113, 210475556, 111288290, 98178853, 13252763, 8385885 ], [ 255647838, 97085922, 91521943, 311917730, 71028686, 7829423, 180792204, 109776646, 119218474, 113450913, 6372815, 39322931, 34739738, 11534062, 50053741, 216745372, 35635354, 78647607, 37552640, 37690172, 69861726, 183131299, 54507159, 34088334, 15072477, 31201700, 17511594, 95771511, 4139590, 21147669, 182484876, 48332950, 69242502, 3631305, 135725316, 100200947, 56215101, 73948231, 10896431, 29478518, 48671818, 32463807, 65152095, 18062187, 10519182, 7235102, 144838716, 5528881, 111660739, 123672526, 26014536, 25544877, 72385960, 67955405, 6959220, 10291146, 26847428, 4032109, 14648640, 40026291, 35485214, 52046221, 40716085, 6997805, 64611215, 81270623, 1989762, 168567468, 233211588, 11128502, 146820351, 8807783, 1721996, 60270550, 60458180, 2185239, 35203089, 1374860, 19353368, 7464072, 76332171, 629887, 54757914, 45410875, 121105692, 23136344, 21136282, 95787516, 13962501, 73828439, 156400661, 281182360, 115071558, 19222845, 60290863, 68198898, 53835354, 36246451, 9990895, 58358681, 156870877, 28375534, 64410245, 33373381, 106243040, 150049881, 62789107, 43313435, 35164341, 93962934, 260494721, 98513525, 107895012, 32403548, 162901039, 64920850, 14187457, 9219250, 162226585, 83135938, 32182005, 183860621, 74542757, 78707398, 99063238, 91796273, 54663602, 35658082 ], [ 167962945, 72975813, 69673456, 152346819, 136245013, 7829423, 81223123, 270301331, 97780676, 65059950, 146110471, 74243328, 71615469, 164064088, 57273016, 192486098, 40855158, 115646117, 59769800, 29461190, 29984501, 66223794, 54507159, 15734027, 101437440, 43176167, 26468430, 46274253, 4139590, 10506185, 38668843, 45632430, 106233355, 97062284, 9919743, 54182733, 85660278, 2170638, 25973741, 26723723, 36108440, 7658704, 88954935, 16059994, 10020855, 10151165, 16984205, 103741918, 14252704, 37682741, 26014536, 72386568, 72630313, 49755262, 17366602, 10654555, 55170009, 174360267, 14648640, 6513113, 158797920, 46051379, 33395442, 48164330, 35286264, 8767110, 70797506, 20876282, 114870372, 11128502, 79667132, 166078129, 60675137, 60270550, 20588532, 76258876, 151454877, 100197523, 42357564, 19249411, 76332171, 19377587, 22725182, 67433929, 39036759, 23136344, 6116429, 110697934, 126358752, 750681, 119485024, 7492623, 23401976, 19222845, 92720799, 5232805, 113461032, 43573138, 272014843, 140294709, 25234297, 45959361, 22173503, 2842731, 20066612, 41115445, 24037858, 194974320, 118933817, 48503409, 8198026, 27661241, 93898343, 75433598, 162901039, 77874438, 14187457, 98162149, 126810056, 83135938, 7805551, 38005380, 12262688, 210475556, 14901025, 1832243, 54663602, 158189237 ], [ 18674052, 83328899, 36922966, 66718259, 40924872, 14956668, 5481880, 126781789, 47429823, 165641715, 23414985, 61471504, 28569430, 139188545, 101069219, 9306853, 35635354, 148363555, 148575548, 25067792, 58345481, 60667116, 54507159, 77380751, 35039571, 455495, 54214717, 10075578, 36979083, 9811063, 8933321, 25820577, 66123117, 19490018, 9919743, 102390108, 135491050, 88427717, 55978180, 24544053, 28484268, 9182292, 8493001, 73462842, 92598293, 40479046, 32800652, 49292607, 14252704, 27378245, 26014536, 87203835, 72630313, 28863318, 6959220, 2284701, 98932246, 51210683, 14648640, 49437749, 170738485, 14572170, 77937664, 22798910, 93054322, 23458859, 2235822, 11729070, 23333317, 8937545, 27213168, 64549642, 1721996, 12467909, 229617724, 51564987, 10421170, 25369199, 19353368, 42354570, 301534274, 33612121, 24766906, 72534055, 32855580, 23974405, 4107205, 15301898, 96501569, 29302169, 28854300, 7492623, 80105262, 19222845, 90279335, 93845942, 144072462, 36794977, 27524355, 81208466, 95970345, 22447868, 64410245, 132992065, 108598905, 152851793, 9374040, 81776008, 35164341, 237776775, 31533926, 14097061, 23004519, 24390536, 92174412, 77874438, 14187457, 98162149, 6185422, 94962878, 32182005, 23369490, 6464083, 12797032, 2744009, 166270172, 35693722, 82023210 ], [ 225555771, 47760924, 102804696, 70998739, 125013236, 7829423, 11334436, 29757190, 47429823, 113450913, 102887187, 55136879, 71615469, 75666424, 25099172, 41196134, 98507634, 44778422, 412104281, 117654730, 121505916, 372042379, 54507159, 34088334, 213467952, 47168326, 57095286, 30441149, 312809874, 107863921, 36342808, 118197882, 168067667, 75117847, 9919743, 22598478, 85660278, 90589342, 53354759, 194479144, 85422202, 127431486, 49905013, 124972417, 92598293, 94809633, 46963576, 66097741, 331134396, 4596307, 26014536, 38680821, 74745458, 211551143, 6959220, 10291146, 9217522, 71019915, 14648640, 186875839, 57358785, 124557456, 113146782, 48164330, 298515635, 152204219, 107754139, 292096569, 60730647, 11128502, 140177897, 64549642, 7691408, 77109376, 20588532, 116247650, 142157452, 71500726, 95255415, 16962700, 208530050, 629887, 24766906, 72534055, 26846365, 23136344, 4519966, 143590005, 96501569, 134675273, 202564726, 7492623, 94755253, 127285520, 97838497, 130775582, 9904138, 282804, 272014843, 701256, 327628772, 292329429, 64410245, 72482902, 12463197, 47911401, 160122026, 90712173, 35164341, 271096793, 306930244, 152283894, 34900327, 24390536, 237297449, 77874438, 14187457, 2726960, 245141266, 51565532, 269959900, 76350134, 142662399, 4241466, 223595272, 369457516, 233926784, 88366879 ], [ 60275296, 72975813, 58025509, 71371754, 24782269, 7829423, 78389535, 35835063, 194657306, 81515128, 151853792, 10493565, 22320122, 59370111, 54864426, 140112069, 35635354, 44778422, 63583651, 7746017, 121505916, 318985384, 48133062, 12397927, 21710163, 89777462, 26468430, 2539870, 36979083, 9811063, 122395377, 30479417, 130629805, 40203804, 130064242, 2448595, 28344240, 23499819, 60575621, 26723723, 36108440, 124550739, 16118041, 24447404, 220273962, 96708985, 96064311, 5528881, 42823446, 59082130, 9640565, 26809167, 65280390, 53591605, 6959220, 10291146, 75770217, 6088663, 13256012, 16330527, 64474081, 22146385, 33261372, 48164330, 147622423, 8767110, 70797506, 12512447, 221514887, 7789227, 53217957, 48151106, 26179740, 116548346, 18865190, 94449962, 210188509, 71500726, 19353368, 201824937, 18620575, 328312510, 96843841, 26791723, 1150935, 23136344, 269410057, 110697934, 48669013, 73828439, 191962791, 91134730, 112610509, 19222845, 8190830, 140188466, 9904138, 43573138, 228728867, 30702354, 32580653, 22447868, 37542637, 18143679, 29603894, 60881301, 144230593, 21571738, 35164341, 140439649, 31533926, 66953849, 62702179, 47491451, 195534471, 226901, 4778538, 135279616, 24346444, 8590591, 32182005, 39139647, 142662399, 39724630, 315473138, 105960569, 33560528, 158189237 ], [ 16942793, 22529708, 56704424, 17020467, 35280628, 7829423, 24073173, 44304600, 41920359, 6475993, 42522121, 74243328, 13004969, 13920403, 41403031, 120030736, 7619152, 1320109, 5312691, 7746017, 7083997, 14041950, 54507159, 34088334, 15072477, 47168326, 10281903, 46274253, 14133803, 9754738, 43789112, 25820577, 130629805, 19490018, 9919743, 21824103, 20318009, 17348837, 17714963, 106406220, 10896384, 39668587, 50399964, 55432387, 4744490, 5564078, 46963576, 36373952, 374785, 27378245, 26014536, 20584481, 17313143, 59131599, 6959220, 10291146, 55170009, 6088663, 14648640, 66080286, 70416387, 8866430, 38504136, 27248867, 758187, 65596699, 85628181, 11729070, 28600520, 8937545, 79304043, 49153316, 1721996, 12467909, 18865190, 51564987, 3888861, 814536, 22102051, 11409806, 29773714, 23948815, 24766906, 44132777, 1150935, 11022176, 26544004, 105346855, 52984891, 66424694, 28854300, 7492623, 74679758, 19222845, 15272083, 3818265, 3740917, 14995730, 5242697, 26937213, 17221430, 22447868, 13704708, 15381447, 9277811, 42055225, 47583747, 21571738, 26093144, 158892412, 31533926, 58846757, 1250663, 47728611, 3721674, 5008904, 2786849, 135279616, 15776185, 10701964, 51613150, 38005380, 4699304, 30294394, 97987349, 1832243, 13486249, 26619903 ], [ 103358307, 21603521, 91521943, 153649706, 124622918, 11019541, 40798206, 22419451, 169356901, 14650532, 23414985, 74243328, 8799657, 53508936, 57273016, 56751399, 62149801, 13983601, 7011872, 7746017, 29984501, 238749599, 44698635, 34088334, 35039571, 455495, 130005323, 2539870, 4139590, 21147669, 50963225, 247786119, 66123117, 198581054, 9919743, 106250424, 52868871, 206894540, 47226118, 26723723, 11142073, 124550739, 65152095, 744442, 16516395, 104464049, 166347001, 135792862, 558014259, 85786520, 26014536, 11936606, 16073875, 66107608, 6959220, 10291146, 75770217, 6088663, 14648640, 162233167, 3042389, 116552131, 33395442, 18615277, 135698135, 180770931, 110304335, 12512447, 23333317, 7789227, 27213168, 64549642, 104330210, 30813733, 20588532, 112378566, 39107390, 89449551, 53862017, 19249411, 18620575, 129235040, 190947800, 17277866, 85803485, 23136344, 4519966, 15301898, 26360257, 73828439, 90594670, 7492623, 94755253, 209260086, 8190830, 5229812, 113461032, 43573138, 46884417, 701256, 30869059, 20441678, 9657199, 28107, 29603894, 5937249, 94978857, 21571738, 27274612, 69728433, 26874402, 152283894, 27123554, 24390536, 232234232, 77874438, 14187457, 283455105, 22181686, 10524672, 117131076, 76350134, 63737771, 35335042, 99063238, 93911465, 35388483, 82023210 ], [ 6925873, 21603521, 91521943, 27543629, 136245013, 270127773, 5481880, 57282820, 37357591, 88777570, 69883608, 36675643, 20820311, 32136025, 57273016, 63288043, 35635354, 134271727, 34562533, 2174876, 58345481, 46042705, 40985255, 34088334, 181024752, 117016792, 17558543, 164910363, 4139590, 21147669, 2273841, 25056992, 84672702, 19490018, 9919743, 17099321, 191738360, 21224022, 65946066, 36700884, 56845272, 39668587, 65152095, 124972417, 239972320, 57317810, 261555988, 74836414, 79187697, 85786520, 26014536, 32675293, 87034032, 28863318, 6959220, 10291146, 20917968, 76836450, 47184, 6610976, 65940878, 22146385, 113146782, 48164330, 85769507, 23458859, 77986125, 33427765, 8984177, 11128502, 235442152, 64549642, 7688664, 12467909, 228592382, 122756166, 21526573, 52704067, 19353368, 10251915, 50424180, 145154839, 45554946, 32908875, 7835358, 23136344, 107234494, 25912085, 52984891, 73828439, 28854300, 7492623, 73788740, 19222845, 62715382, 5232805, 87409555, 20960685, 46884417, 32328827, 166358220, 79870237, 46124803, 51432934, 51408379, 150049881, 47583747, 121010517, 15856612, 44889348, 31533926, 152283894, 34900327, 90339869, 154271474, 77874438, 2786849, 254058030, 1231057, 51565532, 32182005, 67476139, 6464083, 110789729, 74621554, 29646304, 4450784, 87851023 ], [ 58136843, 83328899, 20436020, 119162595, 33277103, 153657193, 17598016, 24139189, 47429823, 88777570, 86574406, 55136879, 13688128, 49025602, 53604258, 172948505, 24959910, 78537317, 21202462, 57593823, 29984501, 83754180, 40985255, 34088334, 32404941, 47168326, 49642685, 2539870, 4139590, 21147669, 89586522, 35303239, 130629805, 86439671, 9919743, 72873644, 85660278, 21224022, 108183414, 17909326, 64796763, 7658704, 49905013, 11844658, 46312790, 116921833, 16984205, 5528881, 331134396, 85786520, 26014536, 38680821, 45328380, 81277555, 17366602, 28456575, 118224629, 67648126, 14648640, 34069127, 65940878, 22146385, 7898124, 48164330, 180265230, 51145808, 107754139, 20876282, 6013021, 5512119, 53217957, 48795779, 104330210, 60270550, 20588532, 131440810, 51997502, 262537665, 29617518, 19249411, 40986634, 156045941, 24766906, 21581163, 32908317, 23136344, 143989921, 114696070, 35901352, 73828439, 8403455, 7458528, 8702321, 19222845, 15272083, 119828124, 5674697, 15323433, 157193975, 32483362, 45444496, 74823511, 64410245, 2842731, 56839076, 10148911, 22417381, 90712173, 35164341, 106480984, 29863925, 152283894, 1957091, 47491451, 237297449, 7398281, 14187457, 21259635, 65373577, 83135938, 3506012, 67476139, 85358323, 4241466, 12114064, 78576615, 54663602, 82023210 ], [ 82816544, 21603521, 107601258, 91474598, 105388083, 7829423, 81223123, 41527679, 41920359, 16677736, 151853792, 71580902, 852991, 12042369, 57273016, 21736456, 39479373, 40074066, 51287163, 115993481, 29984501, 117707557, 52292132, 22388290, 6331239, 11444678, 9823384, 45845223, 85673659, 25276661, 142577362, 17945446, 111944417, 18501414, 9919743, 15893949, 64450906, 141749357, 110155120, 36700884, 38375191, 33258, 12920141, 124972417, 57221722, 119754455, 37605593, 11533249, 79187697, 7145663, 26014536, 38680821, 125305907, 30634129, 74241463, 28456575, 9047331, 46136501, 34569314, 12619658, 19315989, 24647788, 18915298, 75544715, 3483023, 94296297, 91350537, 310581, 50904871, 11128502, 65080746, 64549642, 104330210, 20330484, 3585485, 116247650, 51997502, 150371670, 57840614, 27824878, 13761532, 83175160, 24766906, 131598524, 1150935, 23136344, 61441404, 16183558, 107937715, 73828439, 191962791, 7492623, 11069810, 19222845, 9662602, 5229812, 14256406, 43573138, 8006431, 547836, 43141683, 218835269, 64410245, 263899716, 137334897, 85782824, 92336986, 52551736, 35164341, 38321630, 31533926, 9083915, 1250663, 35539146, 73945910, 77874438, 3207842, 53582699, 22181686, 5051157, 188099546, 52548562, 34049558, 4241466, 142773908, 58481279, 23659505, 58011313 ], [ 150014733, 13262061, 40672129, 85872254, 136245013, 7829423, 81223123, 24139189, 11338106, 201254129, 42522121, 68983851, 71615469, 11534062, 57273016, 146878458, 26127475, 597569, 5312691, 7746017, 29984501, 104300478, 54507159, 34088334, 68898339, 34974794, 17511594, 31043805, 19927751, 9811063, 145809542, 48525486, 8259755, 19490018, 9919743, 22598478, 59625208, 175444902, 25916821, 26723723, 36108440, 10259202, 59579583, 43944279, 57221722, 12349849, 37605593, 3407161, 84387194, 85786520, 26014536, 6816917, 219706857, 67955405, 6959220, 10291146, 108586905, 6088663, 13505037, 83094080, 35918504, 163526627, 33395442, 17439844, 35286264, 23458859, 90589243, 11729070, 65801535, 8937545, 27983629, 64549642, 26179740, 1839938, 19662603, 1262861, 39663821, 135881238, 19353368, 140724751, 78255223, 28654178, 60195833, 72534055, 12184028, 23136344, 32068275, 25912085, 95843728, 73828439, 28854300, 7492623, 53375586, 19222845, 64264847, 5229812, 26063013, 35536884, 2371901, 81208466, 43141683, 22447868, 54855577, 2504667, 19937624, 42055225, 47583747, 111041503, 78483857, 38321630, 31533926, 44827457, 42463459, 6531870, 144199753, 1188818, 221657, 72112091, 19888394, 7574241, 21759941, 20750769, 6464083, 110789729, 98668105, 49757387, 26476900, 4334444 ], [ 63235793, 21603521, 91521943, 25598339, 108940645, 7829423, 81223123, 168091487, 47429823, 53988238, 23414985, 55136879, 65459510, 72826502, 57273016, 102915473, 98507634, 1320109, 140030306, 25067792, 2678608, 4874411, 39892445, 34088334, 1830157, 455495, 131426531, 8874972, 5083551, 21147669, 35739712, 18357051, 130629805, 84314686, 130064242, 106250424, 27970334, 90589342, 215668332, 194479144, 188043164, 127431486, 36749696, 124972417, 133810946, 181581527, 46963576, 135792862, 102949115, 81397708, 26014536, 11936606, 75804565, 67955405, 47110452, 28456575, 108586905, 71019915, 14648640, 14805383, 131338984, 48287149, 33395442, 48164330, 20476323, 94296297, 110304335, 20876282, 23333317, 11128502, 27213168, 64549642, 156246820, 74936244, 417040510, 116247650, 11936989, 4232416, 53862017, 108979105, 6296879, 156045941, 24766906, 41275579, 32908317, 23136344, 32053347, 25912085, 154995966, 73828439, 90594670, 114032897, 94387219, 19222845, 103266864, 5232805, 242640728, 43184542, 41554669, 87696074, 231153772, 31481391, 54855577, 114835017, 92325090, 113874261, 11141885, 10583548, 35164341, 63178286, 29631451, 344513851, 107796453, 90339869, 131168480, 77874438, 14187457, 124657206, 22181686, 118754640, 117131076, 67476139, 85358323, 4241466, 212983826, 134441673, 23659505, 158189237 ], [ 27634623, 46578707, 19838155, 25456909, 136245013, 10249381, 68163246, 10728620, 16684911, 124515762, 33741451, 343617, 9377615, 75666424, 57273016, 12983464, 404155, 92440561, 5312691, 23242567, 29984501, 57463948, 32141583, 16439853, 69306876, 3571107, 10281903, 118105900, 23647385, 9811063, 2834744, 27842303, 89490872, 19490018, 9919743, 2159973, 71870895, 26995929, 23580742, 3894685, 95874218, 1561269, 84751845, 114315668, 39853586, 48317508, 46963576, 135970645, 27658597, 36789723, 87304885, 10030682, 42336102, 67955405, 16917306, 13802806, 69399563, 6044690, 11163758, 6610976, 70949812, 18105057, 33395442, 4081438, 28367226, 33469739, 80665036, 253104179, 94420609, 11128502, 20324473, 51444034, 2585693, 12467909, 20588532, 26211148, 26633138, 25369199, 22089240, 23467308, 43371719, 94981151, 23236782, 45077948, 12184028, 4804257, 29820822, 20558255, 4808035, 73828439, 6810807, 7492623, 20417441, 19222845, 79091183, 75897377, 31965703, 1685604, 39356024, 40642152, 73241919, 19545230, 12046729, 80623925, 156395278, 42055225, 69568469, 74603003, 35164341, 68499894, 49793696, 18245555, 10436711, 74625842, 54105713, 16186140, 90797639, 29735987, 24346444, 51565532, 73416608, 15816928, 6464083, 43439840, 23136354, 123861934, 12601422, 20569385 ], [ 82816544, 13262061, 55072066, 99942472, 136245013, 7829423, 29738778, 20996589, 20229032, 16677736, 2144530, 17470031, 84520594, 102890088, 57273016, 140112069, 35635354, 113128695, 21654249, 56392526, 29984501, 21537353, 54507159, 22388290, 101601434, 47168326, 141286325, 75995835, 36979083, 9811063, 3661179, 30580668, 1745845, 192790878, 25861083, 19378451, 42233798, 85393402, 70368511, 98362926, 85422202, 83908695, 111903653, 66813868, 80552095, 10914927, 46963576, 28538266, 34386307, 26018692, 26014536, 7980156, 87034032, 67955405, 17366602, 13802806, 22738627, 10095172, 14648640, 10263634, 35055757, 121805218, 33395442, 22798910, 48757972, 5954598, 107754139, 3934247, 19243180, 8937545, 22704879, 26699803, 26179740, 8294571, 3585485, 64767230, 38930844, 6499853, 57840614, 108979105, 50718088, 6306853, 15183462, 138696059, 27261146, 23136344, 18630531, 41421036, 20337306, 73828439, 14616006, 5193768, 11069810, 19222845, 97838497, 5232805, 14256406, 43573138, 19704649, 156042869, 25234297, 15502070, 64410245, 31805790, 126609746, 5937249, 751071, 36787583, 35164341, 131264415, 16168243, 43746351, 34900327, 99162765, 22984477, 13721683, 14187457, 9219250, 24346444, 20039741, 173245642, 106733034, 37426293, 35335042, 89921339, 67233881, 269602435, 3422830 ], [ 26167352, 65502159, 91521943, 157120283, 136245013, 150859010, 81223123, 10728620, 47429823, 103158878, 94386302, 74243328, 20820311, 6355329, 290874010, 59170089, 21648735, 10089174, 2635218, 131129715, 29984501, 146548184, 54507159, 22388290, 186710977, 47168326, 2279424, 2539870, 38664319, 21147669, 189196391, 35171608, 103851167, 15044073, 325624805, 140803492, 56163086, 113778894, 23580742, 194479144, 75715173, 74514401, 51348534, 107106667, 157098493, 12150853, 46963576, 134747247, 84387194, 85786520, 26014536, 211545236, 324187634, 211551143, 5206059, 86751626, 172583182, 103226568, 33301138, 12619658, 294334861, 48882814, 33395442, 15008321, 64064068, 114044456, 131606927, 146382436, 94420609, 11128502, 42411904, 64549642, 104330210, 12467909, 56088204, 98040002, 142157452, 90699893, 85213851, 65833656, 64581062, 71711933, 24766906, 140116245, 59492120, 158250553, 9650165, 143590005, 74453127, 111447077, 28854300, 13331112, 53375586, 19222845, 88072660, 5232805, 204781085, 43573138, 207440399, 67418016, 177027613, 218835269, 64410245, 92918091, 66837813, 104883979, 77177965, 63785001, 183391945, 302329952, 31533926, 86645591, 34900327, 40931007, 157498963, 162911, 142519476, 309609885, 162226585, 60769819, 94473358, 77679764, 6464083, 62255495, 339046143, 12182851, 132930395, 87851023 ], [ 224415304, 79257412, 40672129, 217176165, 136245013, 32711496, 111379013, 19084262, 6086196, 22783534, 119367130, 74243328, 61308600, 177384777, 6739783, 18429975, 92720707, 129850139, 34562533, 12230160, 17088587, 66083341, 54507159, 34088334, 4836413, 43176167, 17218684, 46274253, 36979083, 9811063, 50069238, 30479417, 30480996, 16103154, 130064242, 44901687, 31600162, 6584236, 42945998, 18788733, 29972900, 19994467, 77924952, 117922393, 91602753, 108523830, 96064311, 69396422, 144016672, 25138037, 26014536, 10030682, 12086014, 16235886, 18316860, 13802806, 19594764, 242891912, 14648640, 9555816, 43117440, 163526627, 10055390, 48164330, 30342613, 6446627, 110304335, 12512447, 4426774, 11064887, 22704879, 55474974, 26179740, 12467909, 20588532, 258903776, 32080365, 31532024, 19353368, 74104424, 76332171, 8458128, 180760789, 33996742, 43412957, 23136344, 25127691, 143590005, 37520657, 73828439, 85141, 15589574, 27939939, 10578224, 15727200, 14346587, 45218062, 43573138, 8006431, 33298379, 25234297, 22447868, 48659214, 15356887, 24435136, 58838564, 52774061, 21571738, 27649900, 57578459, 31533926, 202764009, 267551335, 142761435, 129500678, 77874438, 14187457, 35364549, 24346444, 74270278, 32182005, 14474442, 6464083, 39389127, 27533801, 7804549, 30919033, 158189237 ], [ 8375268, 97085922, 91521943, 188306336, 71028686, 32711496, 18080651, 10728620, 31816588, 99190641, 25213020, 28429720, 24388200, 154045893, 66027852, 142769245, 100863313, 94224087, 9223587, 12230160, 29984501, 66223794, 54507159, 34088334, 71670348, 180284399, 33382862, 288120903, 4139590, 9811063, 80625768, 4131998, 69242502, 19490018, 9919743, 107832548, 48222143, 125350875, 23580742, 26723723, 36108440, 13424672, 84011763, 124972417, 205249650, 181581527, 4572319, 61890737, 327659103, 165317952, 26014536, 30726932, 51243350, 110193207, 98129014, 13802806, 62931609, 11778188, 4802336, 48091385, 64124675, 96510512, 33395442, 48164330, 163080105, 23458859, 40681939, 11729070, 94420609, 8937545, 1927362, 31668833, 26179740, 12467909, 193185581, 76478636, 41122030, 31532024, 95255415, 19249411, 119869411, 33612121, 27868436, 40302090, 94149337, 23136344, 192082432, 65261005, 33113321, 45315856, 1357031, 7492623, 2224546, 108569573, 85318267, 5229812, 49803073, 43573138, 147136638, 81208466, 25234297, 22447868, 64410245, 132992065, 29603894, 58838564, 46887196, 43313435, 26093144, 63829230, 26595740, 54439278, 108892514, 11898199, 212814099, 53624358, 14187457, 9219250, 24346444, 83135938, 43942944, 67476139, 6464083, 16510963, 1838185, 144915952, 13486249, 123716021 ], [ 8924413, 97067234, 57791115, 53684186, 50239769, 7829423, 16068198, 10728620, 47429823, 130105926, 111297908, 74243328, 71615469, 66481109, 70294148, 61489810, 10545885, 163444668, 51287163, 308340794, 40646927, 66223794, 54507159, 34052071, 8151623, 31664441, 16674892, 46274253, 36979083, 7971322, 32318278, 4131998, 12841854, 15930276, 9919743, 41163899, 37182016, 46274892, 23580742, 57103513, 10758040, 7709124, 98787651, 124972417, 39598691, 5564078, 46963576, 135104256, 49574259, 33952486, 23014269, 46356575, 12789386, 83410314, 59857663, 13555269, 10948800, 20700434, 190005357, 9555816, 55481746, 134825481, 90223625, 217901300, 55700, 8767110, 107671805, 20876282, 50326426, 11064887, 176912734, 3453250, 26179740, 179279359, 219643383, 10586575, 19107564, 88250247, 154638293, 25902393, 76332171, 108308745, 24766906, 13472326, 8841244, 230682511, 31450107, 38692286, 1278808, 77146906, 62182374, 7492623, 51208093, 19222845, 32443798, 49584982, 33887047, 43573138, 34881830, 148252258, 25234297, 22447868, 1328670, 62332440, 63925694, 66672821, 62367257, 58984814, 27649900, 13010805, 184557717, 30972001, 86322274, 117490182, 12234624, 77874438, 6742091, 111012402, 24346444, 8232945, 48022509, 9601057, 71335288, 30294394, 208043842, 112893266, 39011870, 1734627 ], [ 24568957, 52344162, 56704424, 65044711, 136245013, 24253725, 13110491, 10728620, 47429823, 16677736, 60840185, 50368910, 59792077, 151702063, 121336908, 66664621, 65678101, 78731578, 14248063, 214571631, 20594488, 17955149, 54507159, 34088334, 15072477, 47168326, 103891994, 72784748, 36979083, 9811063, 52973351, 4131998, 49154003, 19802478, 61905387, 66636330, 126201559, 218513809, 23580742, 154137061, 101242756, 30627147, 244459280, 124972417, 6999984, 46947526, 46963576, 135792862, 297006738, 15148201, 23014269, 11936606, 12463154, 41136947, 57797426, 11735842, 179471924, 182765512, 27541038, 95374567, 64474081, 95326228, 166247101, 19368259, 28099212, 23458859, 121976478, 15225020, 16242110, 11064887, 53990024, 118926573, 26179740, 272079305, 8386205, 58617415, 71167822, 176216109, 29846511, 25902393, 12325492, 121529825, 24766906, 73441397, 99864472, 23136344, 77761287, 8478705, 41718946, 54162744, 1514068, 5193768, 77572742, 60048501, 39966268, 102030805, 39299598, 43573138, 114793140, 56262814, 25234297, 22447868, 20159442, 96206678, 83503572, 10148911, 112678011, 27898546, 95185327, 295499402, 4452591, 253163925, 142208870, 53501082, 264111176, 77874438, 70569585, 312527768, 24346444, 211084491, 10094996, 67476139, 37929970, 35781802, 5409124, 67233881, 20784567, 62948558 ], [ 50473785, 32986793, 22971336, 66718259, 68797297, 32711496, 5481880, 126781789, 31816588, 124515762, 110990789, 50368910, 84520594, 139188545, 66027852, 52926680, 18518610, 1320109, 16111413, 138673085, 59161984, 66223794, 54507159, 117605892, 8151623, 77850177, 16674892, 27929371, 4139590, 21147669, 32318278, 48525486, 85182845, 75366654, 101055769, 51382419, 89979232, 111646838, 123466888, 49588790, 38921735, 10259202, 159501877, 124972417, 140293622, 8738751, 22487531, 117487211, 106295078, 55932329, 26014536, 31033888, 12789386, 49755262, 98129014, 28754582, 179471924, 49122919, 13505037, 15659086, 35918504, 163526627, 10055390, 15008321, 14845455, 6446627, 24234743, 11729070, 50326426, 8937545, 78451710, 31668833, 104330210, 48238464, 88323546, 137192677, 42483440, 434413538, 19353368, 19249411, 77230410, 33612121, 40525522, 59730645, 48737309, 23974405, 32068275, 122578221, 74453127, 73828439, 97068254, 29429944, 2224546, 80765840, 55887444, 5232805, 33051153, 43573138, 26411500, 26937213, 25234297, 28210224, 22173503, 105903689, 72897046, 171284812, 30097089, 63785001, 144260599, 63829230, 31533926, 21710698, 283472870, 91196093, 157498963, 12788432, 4778538, 31934816, 19888394, 7574241, 7805551, 20750769, 49110469, 30435074, 62547840, 22005357, 16026912, 104749377 ], [ 12732776, 32986793, 44059036, 96955183, 35606086, 7829423, 11334436, 165237099, 11338106, 60470620, 28463565, 39312800, 56211229, 6355329, 7507939, 113741361, 3205874, 115646117, 21654249, 38983859, 29984501, 36444445, 15394990, 34088334, 32404941, 6968936, 47051623, 32497193, 4139590, 21147669, 14630227, 9423297, 8898281, 86439671, 14422102, 22598478, 48222143, 93257962, 9985536, 1910796, 36108440, 7658704, 5668983, 112707205, 109967989, 10151165, 3585648, 145062040, 937333, 33952486, 26014536, 33810309, 26416508, 49755262, 17366602, 10654555, 6822340, 6044690, 14648640, 83765755, 35213388, 48882814, 33395442, 6921616, 28367226, 4770883, 94641779, 9662065, 88108089, 11064887, 104968487, 3453250, 4297487, 60270550, 7806753, 57292505, 39345490, 97048183, 58024962, 19249411, 85742346, 71711933, 183434034, 62624780, 35814295, 23136344, 61441404, 7014981, 61318962, 21871597, 98214292, 74765455, 4858739, 19222845, 15727200, 5229812, 35226962, 43573138, 8006431, 82379273, 6965371, 18700644, 22173503, 2842731, 19451382, 10148911, 1030147, 21571738, 35164341, 94194490, 17449333, 113009671, 17980645, 23048235, 23536374, 12788432, 1330228, 35364549, 39902837, 25528122, 7805551, 9601057, 6566276, 4034821, 55165680, 124139919, 54663602, 8385885 ], [ 8375268, 28096903, 7034219, 135265314, 136245013, 32711496, 25919240, 9575149, 5863279, 22783534, 111594686, 12235856, 71615469, 54525642, 57273016, 41794532, 9235168, 17558592, 100225959, 23242567, 8048060, 46042705, 52292132, 34088334, 15072477, 40989572, 10281903, 90099256, 36979083, 9811063, 32318278, 16435608, 30480996, 45098285, 9919743, 107832548, 34025130, 1384392, 15401438, 36700884, 56845272, 18823905, 15588966, 20511610, 7150152, 26467566, 7166190, 42754865, 73122444, 9501210, 26014536, 35578335, 2031412, 28863318, 74241463, 635675, 58084794, 844102, 10740828, 33823205, 43117440, 35379752, 5878601, 57173112, 104789369, 6446627, 100187732, 22631758, 16242110, 11064887, 18298946, 134418637, 4297487, 6787830, 7806753, 76478636, 39345490, 24505773, 24397799, 26225179, 49030490, 73455007, 1743522, 8889224, 35400158, 18626228, 32312309, 81848516, 47087107, 23078466, 89318874, 822311, 25832841, 19222845, 557417, 1468993, 35226962, 43573138, 17207954, 19109869, 25234297, 15569374, 27030575, 44804129, 77585090, 13305847, 71694256, 4452948, 11261624, 14671956, 53651415, 62215388, 15506915, 41886704, 52211992, 919954, 48268857, 9219250, 24346444, 74270278, 20933357, 37227739, 13234703, 43439840, 4801673, 14470948, 13486249, 21583016 ], [ 274333149, 32986793, 91521943, 93068260, 135410772, 32711496, 104926593, 2963064, 152014661, 197953677, 119367130, 34518685, 84520594, 246896219, 195341985, 61328509, 46089273, 9018652, 16111413, 138673085, 29848094, 3124335, 226998, 15164954, 181589260, 117016792, 103891994, 52587869, 36979083, 9811063, 17570951, 339566937, 88227241, 87829367, 49258778, 107832548, 89979232, 167489278, 9985536, 106215554, 161630182, 30692901, 73664004, 124972417, 39853586, 10151165, 65664817, 82128806, 200297066, 85786520, 26014536, 87331021, 2031412, 49755262, 98129014, 13802806, 52028473, 308416947, 14686510, 33823205, 134160847, 163526627, 1599606, 125100804, 104789369, 4770883, 131606927, 12512447, 188463717, 11064887, 53990024, 31668833, 2585693, 272079305, 33384915, 114667303, 100297601, 22464142, 44739, 82985260, 2617442, 87146798, 93345183, 40302090, 42126297, 155535903, 50063993, 143590005, 74453127, 73828439, 191962791, 130262051, 2224546, 19222845, 15727200, 5229812, 10287883, 20716534, 341932786, 81208466, 25234297, 22447868, 22173503, 132992065, 165357810, 9321303, 102658799, 14144004, 35164341, 20602581, 31533926, 18245555, 17980645, 75222315, 80729327, 8311839, 41798560, 135279616, 24346444, 160325969, 7805551, 142354075, 35652117, 78707398, 9957602, 144915952, 331684811, 75920074 ], [ 50473785, 73957937, 57791115, 46458039, 136245013, 32711496, 104926593, 63283224, 11338106, 179567716, 126992149, 74243328, 71615469, 69439694, 57273016, 63008251, 18518610, 110840461, 51287163, 12230160, 83217922, 66223794, 54507159, 34088334, 5065100, 20503570, 16674892, 6234858, 4139590, 21147669, 32318278, 30479417, 33744510, 75366654, 9919743, 22598478, 94017613, 111646838, 86884185, 109689335, 38675078, 78624991, 88954935, 30558834, 140293622, 181581527, 91975986, 142902414, 74431455, 157021027, 26014536, 87331021, 12789386, 67955405, 84521005, 88703448, 62931609, 57345974, 284561216, 37539156, 169862768, 387779, 10055390, 40661463, 134724359, 8767110, 70797506, 11729070, 50326426, 8937545, 93663760, 50153561, 110406079, 20330484, 205526851, 259472451, 44553678, 48282652, 145075117, 19249411, 1842598, 5985245, 31969337, 127167974, 132605470, 23136344, 283239409, 34969278, 121733072, 73828439, 49312830, 7492623, 102990955, 19222845, 25784813, 5229812, 10287883, 43573138, 213428215, 31805665, 25234297, 28210224, 64410245, 18143679, 33790723, 58838564, 10292089, 43313435, 14061655, 94194490, 62345459, 152283894, 11621221, 90784850, 67308819, 8761666, 91789071, 9219250, 39902837, 51565532, 47528981, 87902655, 5579813, 78707398, 89520376, 113468704, 30919033, 8385885 ], [ 182047471, 64548722, 91521943, 53684186, 25910147, 155692767, 104926593, 24077093, 71474924, 52295371, 50240182, 67398453, 71615469, 207228724, 49578067, 23830562, 100863313, 134271727, 12134888, 138673085, 98870592, 118009155, 54507159, 35448400, 30872502, 112844571, 26202713, 8874972, 36979083, 9811063, 145809542, 152021004, 130629805, 75366654, 9919743, 41163899, 73710504, 56882824, 33654273, 68444433, 122282160, 21288678, 88954935, 124972417, 29750484, 148050084, 27580030, 47701206, 87561498, 31107945, 26014536, 120801518, 4386949, 109565665, 47110452, 13802806, 60512965, 8221730, 11163758, 47698624, 189633625, 66740757, 10055390, 210411036, 22761452, 23458859, 34824407, 11729070, 10875213, 8937545, 63793668, 220884734, 26179740, 97447020, 20588532, 29962433, 20916765, 92990750, 11341663, 1081391, 45404420, 33612121, 49321078, 305603591, 179762713, 57343845, 250161886, 28284679, 1278808, 3582477, 17324566, 7492623, 51208093, 10578224, 15727200, 113269742, 10287883, 43573138, 110766261, 81208466, 50333789, 9498304, 64410245, 62332440, 18629613, 4696912, 30097089, 21571738, 28555509, 90814044, 31216632, 55211896, 87194852, 259420844, 218996969, 12788432, 6742091, 35364549, 1852761, 46575900, 10094996, 76350134, 97906303, 78707398, 121786613, 70227902, 64737594, 7942710 ], [ 62027419, 250446478, 20675186, 146013405, 33277103, 7829423, 115046075, 281574122, 438547350, 437778517, 908932891, 74243328, 272546140, 19170202, 49382248, 453736364, 100863313, 607232466, 51287163, 183665205, 48757041, 716506750, 48133062, 29905141, 133564468, 1014609445, 311684793, 2566108, 333934423, 21147669, 216228118, 202654045, 28190702, 302525105, 126871329, 149559773, 85660278, 127296567, 68324571, 154137061, 112742129, 63148379, 122079136, 124972417, 59770225, 181581527, 44914397, 33182577, 49456256, 44967265, 148099003, 402170395, 652751003, 9689271, 98129014, 34775875, 179471924, 37667742, 14648640, 31863166, 84859361, 209965127, 41935063, 6997805, 189214701, 41610351, 131606927, 121142618, 343214352, 11064887, 65080746, 104722467, 259898495, 118429636, 20588532, 116247650, 60974175, 1374860, 95255415, 906453869, 373099250, 150204575, 232522000, 18073851, 149262366, 23974405, 90594064, 107725943, 23386313, 399278224, 496368666, 535904530, 8702321, 478669232, 119176544, 28353269, 67706453, 15323433, 230720224, 210341802, 50333789, 106473325, 41300367, 26342966, 100601120, 2904225, 413833681, 150803005, 45380486, 29184568, 359204456, 192574244, 130058598, 169850513, 145950842, 71561743, 14187457, 107331995, 12884468, 182220662, 271186117, 76350134, 15221796, 193619970, 208043842, 224365826, 154328181, 53692391 ], [ 175944186, 79257412, 57791115, 70458145, 136245013, 32711496, 81223123, 10728620, 47429823, 22783534, 119367130, 74243328, 71615469, 75666424, 23609316, 63008251, 59811252, 10053466, 14248063, 12230160, 29984501, 66223794, 54507159, 34088334, 15072477, 43176167, 70439458, 278572202, 28364289, 18419991, 161280117, 70712698, 130629805, 19490018, 9919743, 22598478, 126614593, 10527949, 23580742, 64448995, 125121146, 34708374, 98787651, 52687771, 242214637, 47532561, 22487531, 98960917, 161215854, 78224680, 26014536, 33810309, 51243350, 67955405, 74241463, 86751626, 55492492, 217713487, 11163758, 142015545, 64474081, 163526627, 10055390, 74046888, 133278352, 6446627, 131606927, 59124870, 43885165, 11064887, 58691418, 75358170, 169824773, 12467909, 51862295, 149462396, 142157452, 156856293, 11341663, 26225179, 76332171, 46523739, 24766906, 40302090, 139037016, 23136344, 25127691, 133648927, 154995966, 3582477, 28854300, 7492623, 808927, 23028410, 26139271, 5229812, 38199225, 43573138, 143560906, 63858491, 25234297, 98195631, 48659214, 315305149, 33790723, 12927944, 160122026, 43313435, 34714145, 57578459, 98964927, 122466599, 108892514, 67528546, 162901039, 77874438, 84096321, 9219250, 1260411, 51565532, 47528981, 199040537, 6464083, 12797032, 78900336, 22005357, 30919033, 158189237 ], [ 88543092, 97085922, 91521943, 66718259, 133030754, 38081745, 35395816, 48927969, 47561767, 32692853, 150685462, 61471504, 12121444, 464891872, 49382248, 206620174, 49526713, 93890317, 51287163, 12230160, 57071156, 42114126, 25690881, 27454299, 76044419, 3571107, 10138301, 104805063, 4139590, 21147669, 32318278, 25499364, 130629805, 6952233, 4133651, 138129584, 85660278, 12448949, 23174927, 12941254, 67479105, 21288678, 101321535, 30558834, 24894706, 8738751, 35891877, 89374785, 211461577, 223778508, 2550892, 87331021, 44729263, 53958879, 19560718, 124215329, 41096137, 10537101, 62574497, 98712872, 82744953, 163526627, 10055390, 36769191, 113539043, 11637647, 12653804, 146382436, 111536318, 10969044, 24161176, 104722467, 52636004, 60270550, 20588532, 144711710, 111702866, 45434644, 145075117, 19249411, 38633454, 341375847, 31969337, 140116245, 27279191, 146608346, 39298383, 111136771, 72341239, 32243917, 119485024, 48008163, 80374169, 19222845, 89830530, 5232805, 49803073, 43573138, 9675720, 18566769, 128706273, 79870237, 124905541, 64416516, 79147676, 3369082, 74355201, 135052284, 35164341, 63829230, 85227586, 43199471, 34900327, 152144567, 8108475, 37966319, 207388800, 107331995, 65373577, 83135938, 43942944, 67476139, 87110961, 29881208, 124456633, 4291964, 25962945, 20795764 ], [ 133767379, 97085922, 91521943, 168731024, 136245013, 7829423, 81223123, 71961339, 11338106, 242661700, 22907577, 24488844, 71615469, 69439694, 57273016, 24380805, 124340353, 148363555, 51287163, 12230160, 29984501, 66223794, 54507159, 1526538, 148431054, 285087, 26468430, 29432266, 4139590, 2285943, 182484876, 188919044, 92420806, 6952233, 9919743, 22598478, 154444328, 199221553, 171691593, 44441127, 28370245, 124550739, 77608895, 107806842, 56194795, 181581527, 91975986, 91532809, 601072100, 85786520, 26014536, 33810309, 51243350, 67955405, 68548286, 86751626, 17500540, 195371164, 11163758, 44525665, 61606123, 23051941, 33395442, 32744536, 189214701, 8767110, 34824407, 146382436, 65801535, 11128502, 24161176, 95512552, 4297487, 60270550, 294728815, 30454460, 194068910, 43988455, 169109617, 11209908, 66369083, 176068714, 49845313, 152145799, 225381912, 23136344, 20684733, 4841505, 157949880, 25591598, 25707886, 7492623, 102990955, 19222845, 95569490, 5232805, 10287883, 43573138, 90706319, 118259672, 25234297, 13573695, 42410573, 18143679, 79147676, 36643396, 75121281, 129784017, 363780044, 280876618, 31533926, 152283894, 11621221, 147019294, 195534471, 22788190, 221657, 158623797, 161591008, 51565532, 47528981, 81292165, 65836646, 219683911, 104069106, 166270172, 54663602, 8385885 ], [ 14107149, 37049060, 91521943, 43872504, 5595091, 7829423, 81223123, 10728620, 11338106, 16677736, 33741451, 59634199, 71615469, 75666424, 57273016, 5406502, 76141940, 10216953, 387799, 128011735, 29984501, 66223794, 54507159, 4431609, 21710163, 43176167, 8025753, 46274253, 85673659, 21147669, 90105736, 26401194, 13784895, 8046523, 9919743, 22598478, 110448611, 59291737, 23580742, 26723723, 36108440, 74514401, 84011763, 89073752, 39598691, 10151165, 10632330, 5528881, 5576671, 89121664, 26014536, 221896656, 102717320, 16235886, 16798474, 91695473, 163969303, 14301278, 166745855, 9555816, 75657814, 49707186, 33395442, 24795373, 2441553, 23458859, 110304335, 20876282, 94420609, 6464226, 27757256, 48401055, 156246820, 11894703, 10708203, 56109555, 3888861, 90102240, 169109617, 27824878, 74084588, 167155196, 24766906, 45077948, 167213405, 23136344, 26544004, 127237482, 36523646, 49107723, 28854300, 7492623, 8702321, 19222845, 108205519, 5229812, 34591878, 15323433, 16924857, 63858491, 25234297, 66924470, 22173503, 252279, 29603894, 72433160, 160122026, 199328976, 27649900, 17299405, 49678368, 76027231, 45877217, 121914267, 61284526, 71561743, 50267757, 35384173, 8658533, 22717768, 7805551, 54314133, 6464083, 35781802, 141229842, 114723676, 30919033, 8385885 ], [ 9879511, 49061805, 91521943, 51594079, 50239769, 11243095, 9546680, 10728620, 11338106, 71013518, 151853792, 34518685, 71615469, 174118816, 180041740, 61489810, 70047183, 48652304, 29159332, 42877873, 29984501, 46042705, 43723709, 5971639, 15072477, 26094442, 16674892, 29432266, 67213595, 21147669, 17851763, 19256234, 12841854, 28263149, 9919743, 44901687, 86678216, 6584236, 9985536, 78702620, 85422202, 10259202, 22970055, 41882169, 75406942, 68767423, 3890878, 97257504, 81228251, 136668532, 26014536, 33810309, 102159811, 159499547, 17213121, 11735842, 10948800, 182765512, 29545950, 9555816, 51918271, 42267649, 33395442, 15335682, 123131180, 4770883, 107272213, 78888001, 5332193, 11128502, 224436269, 145048404, 72330591, 49411391, 51862295, 10586575, 19107564, 9886437, 110496977, 26225179, 76332171, 65096562, 24766906, 45077948, 26850711, 12420647, 25127691, 143590005, 1278808, 1586059, 41375260, 7492623, 33739783, 19222845, 24516914, 177986462, 49803073, 14280183, 65121518, 32328827, 141499188, 37510058, 64410245, 52637204, 5695335, 227283571, 30097089, 43313435, 27649900, 25731143, 38424826, 152283894, 11621221, 137366943, 15417108, 12788432, 6742091, 9219250, 56693518, 7574241, 10094996, 18541958, 37426293, 62165673, 3638755, 13982955, 39011870, 8385885 ], [ 133767379, 97085922, 20551867, 29218734, 13439502, 38081745, 37406483, 62219939, 230269070, 52295371, 33741451, 71469875, 32943424, 69439694, 49382248, 48477287, 49526713, 148363555, 34562533, 124841748, 48757041, 155600792, 54507159, 34088334, 181589260, 43176167, 30126758, 76582235, 23909840, 21147669, 90105736, 73081062, 22359969, 108616651, 126871329, 22598478, 1303697, 16116809, 217041723, 32364581, 188043164, 114185304, 80885695, 107806842, 251836186, 160633157, 1131377, 11190101, 20333042, 85786520, 26014536, 4856150, 24701343, 28922729, 22373149, 34775875, 62455482, 33012059, 11163758, 90923096, 61606123, 35888296, 44960964, 74046888, 24101910, 3475244, 131606927, 73359668, 17798266, 11128502, 65080746, 89243525, 81767180, 16099353, 20588532, 94115507, 60974175, 83060934, 106717267, 1081391, 278776444, 60270032, 20519188, 140116245, 43412957, 20754028, 37948132, 93319559, 1278808, 32243917, 43582548, 190521548, 8702321, 57721722, 29116927, 36685204, 10287883, 3240417, 65121518, 3962925, 60218234, 9498304, 42410573, 51432934, 373500289, 4696912, 49367953, 88858203, 35164341, 63829230, 30781213, 201298714, 34900327, 106486078, 240354627, 71561743, 6742091, 35364549, 1231057, 11520981, 43942944, 33183095, 89728811, 33348846, 78854301, 2330188, 93450004, 158189237 ], [ 133767379, 91208041, 30586759, 283210241, 25910147, 32711496, 111379013, 70026069, 742040417, 71013518, 76229495, 74243328, 150329094, 307610120, 49382248, 477406369, 112313159, 148363555, 7561879, 138673085, 48757041, 66223794, 54507159, 34088334, 74844343, 193854795, 349706795, 252460297, 67213595, 306351535, 182484876, 99134017, 130629805, 30842326, 126871329, 134505900, 64129861, 730241589, 209717285, 194479144, 161630182, 149196458, 175215195, 124972417, 236692745, 28998934, 11842263, 117487211, 1953595, 230761891, 26014536, 33810309, 29866546, 22948797, 98129014, 526434253, 13217982, 54756501, 14648640, 92566215, 182925442, 163526627, 76247075, 23951579, 189214701, 6446627, 222122555, 146382436, 140745140, 11128502, 140177897, 104722467, 72330591, 118429636, 20588532, 3502659, 194068910, 83060934, 95255415, 220942899, 304684262, 240350028, 532857399, 53935948, 185240670, 23136344, 27109615, 143590005, 97743143, 100489497, 5992306, 37692396, 125707767, 19222845, 149063548, 5232805, 67706453, 43573138, 110766261, 93200320, 25234297, 42309875, 64410245, 82394009, 18629613, 36643396, 160122026, 291330493, 35164341, 246849170, 290392434, 201298714, 130058598, 21702030, 238769300, 77874438, 14187457, 107331995, 79851375, 18120576, 10094996, 36431657, 4000571, 78707398, 208043842, 22005357, 126791122, 158189237 ], [ 8375268, 83328899, 91521943, 149213274, 25910147, 24933361, 5481880, 126781789, 44095248, 41997364, 20580688, 74243328, 40131892, 42519771, 77226778, 18429975, 123300023, 138543969, 29159332, 138673085, 19162258, 66223794, 52292132, 39791250, 22708003, 47168326, 17558543, 8874972, 4139590, 21147669, 145809542, 27204284, 85182845, 174763978, 9919743, 42905933, 1140966, 12448949, 87899227, 36700884, 63900170, 10259202, 98787651, 10231917, 15239942, 181581527, 46963576, 225766761, 74431455, 223778508, 26014536, 33810309, 75551064, 109565665, 28651943, 176017156, 137597071, 8221730, 54332510, 121746243, 17386639, 96510512, 198435133, 3549008, 42495435, 23458859, 16318659, 20876282, 114346818, 11128502, 55275011, 93385770, 4760458, 60270550, 147146646, 146012255, 94950076, 88250247, 136999408, 19249411, 45404420, 240350028, 24766906, 57259835, 226724253, 89612724, 27109615, 86510314, 157949880, 1586059, 165738241, 7492623, 20853982, 19222845, 264493512, 113269742, 5674697, 20725189, 110766261, 34800999, 24868546, 79870237, 64410245, 231739535, 18629613, 112429905, 46887196, 30623069, 35164341, 13010805, 22496294, 95470352, 11621221, 147019294, 249961754, 77874438, 14691527, 240086321, 30831925, 7574241, 10094996, 67476139, 37426293, 11041384, 30813242, 22933236, 54663602, 4643354 ], [ 8375268, 90161977, 57791115, 91995599, 136245013, 24933361, 157367015, 19282330, 114437156, 49068876, 89516076, 33949053, 71615469, 42519771, 23609316, 42286843, 7619152, 20522462, 86394904, 138673085, 37018657, 66223794, 54507159, 34088334, 11065696, 55364406, 33382862, 46274253, 39718218, 21147669, 52973351, 27204284, 28190702, 15930276, 9919743, 84402559, 20075784, 12448949, 9985536, 97208240, 32460210, 64691943, 84011763, 124972417, 239972320, 20983595, 157973957, 137572995, 49574259, 47207556, 25214349, 48322024, 78451727, 52880642, 76024735, 86751626, 55492492, 8503964, 39065278, 116766472, 17386639, 163526627, 80522060, 88952354, 758187, 4770883, 110304335, 12512447, 94420609, 11128502, 35979625, 53928286, 104330210, 12467909, 33384915, 149462396, 73825580, 92990750, 74911780, 62056433, 112277390, 46523739, 11914058, 82217480, 33774110, 23136344, 192082432, 25678638, 34164230, 73828439, 7930637, 7492623, 98744637, 19222845, 15727200, 5229812, 22356340, 21423627, 41613335, 34800999, 25234297, 20648745, 64410245, 139840833, 100601120, 2904225, 146392488, 21571738, 20953012, 94194490, 31533926, 33959348, 17980645, 62689640, 204531175, 77874438, 3207842, 9219250, 39902837, 7755034, 48022509, 52548562, 6464083, 16510963, 95213712, 166270172, 127634368, 83101278 ], [ 50473785, 75324996, 530043, 51594079, 13439502, 24933361, 7683554, 63283224, 11338106, 69172837, 42522121, 15642840, 19274179, 51991602, 55628023, 61489810, 40855158, 74912425, 5312691, 7746017, 17088587, 66223794, 54507159, 243991270, 4836413, 43176167, 16674892, 29432266, 4139590, 9811063, 32318278, 19256234, 92420806, 27573940, 9919743, 22598478, 1303697, 62558746, 9985536, 14115131, 36108440, 82713951, 98787651, 41882169, 1994469, 181581527, 1131377, 53068563, 4656625, 40251806, 14169246, 72386568, 51243350, 64943479, 37146219, 13802806, 48974014, 6088663, 11163758, 41851197, 35055757, 163526627, 10055390, 32744536, 47388679, 4770883, 13187782, 20876282, 65801535, 11064887, 59252576, 102620064, 26179740, 60270550, 20588532, 121681769, 19107564, 3496243, 11341663, 19249411, 77230410, 629887, 24766906, 41958602, 12184028, 80260736, 46595830, 104721923, 1278808, 70932635, 41167231, 2426574, 51208093, 19222845, 62266721, 5232805, 11187082, 20716534, 22317967, 13411347, 12946583, 22447868, 41071521, 62332440, 29603894, 12927944, 52774061, 43313435, 35164341, 90814044, 31533926, 134153365, 1250663, 47394255, 22984477, 26394224, 221657, 9219250, 4246504, 31231186, 14788558, 36431657, 4000571, 75116182, 77353883, 14470948, 51803515, 8385885 ] ], "stats": { "generated": 2051, "validated_pass": 1924, "validated_fail": 453, "dedup_removed": 1742, "reclaim_attempted": 293, "reclaim_recovered": 236, "reclaim_skipped_unsalvageable": 14, "repaired_on_generation": 9, "reclaim_retry_attempted": 57, "reclaim_retry_recovered": 45 }, "reclaimed_shards": [ "rejected/shard_00004.jsonl", "rejected/shard_00005.jsonl", "rejected/shard_00006.jsonl", "rejected/shard_00009.jsonl", "rejected/shard_00010.jsonl", "rejected/shard_00016.jsonl", "rejected/shard_00017.jsonl", "rejected/shard_00018.jsonl", "rejected/shard_00019.jsonl", "rejected/shard_00025.jsonl", "rejected/shard_00026.jsonl", "rejected/shard_00027.jsonl", "rejected/shard_00028.jsonl", "rejected/shard_00030.jsonl", "rejected/shard_00032.jsonl", "rejected/shard_00035.jsonl", "rejected/shard_00036.jsonl", "rejected/shard_00039.jsonl", "rejected/shard_00041.jsonl", "rejected/shard_00042.jsonl", "rejected/shard_00044.jsonl", "rejected/shard_00046.jsonl", "rejected/shard_00049.jsonl", "rejected/shard_00050.jsonl", "rejected/shard_00052.jsonl", "rejected/shard_00053.jsonl", "rejected/shard_00056.jsonl", "rejected/shard_00057.jsonl", "rejected/shard_00058.jsonl", "rejected/shard_00059.jsonl", "rejected/shard_00064.jsonl", "rejected/shard_00065.jsonl", "rejected/shard_00066.jsonl", "rejected/shard_00067.jsonl", "rejected/shard_00071.jsonl", "rejected/shard_00072.jsonl", "rejected/shard_00073.jsonl", "rejected/shard_00075.jsonl", "rejected/shard_00076.jsonl", "rejected/shard_00079.jsonl", "rejected/shard_00084.jsonl", "rejected/shard_00085.jsonl", "rejected/shard_00086.jsonl", "rejected/shard_00089.jsonl", "rejected/shard_00090.jsonl", "rejected/shard_00091.jsonl", "rejected/shard_00094.jsonl", "rejected/shard_00095.jsonl", "rejected/shard_00096.jsonl", "rejected/shard_00097.jsonl", "rejected/shard_00100.jsonl", "rejected/shard_00103.jsonl", "rejected/shard_00105.jsonl", "rejected/shard_00106.jsonl", "rejected/shard_00107.jsonl", "rejected/shard_00108.jsonl", "rejected/shard_00109.jsonl", "rejected/shard_00111.jsonl", "rejected/shard_00113.jsonl", "rejected/shard_00115.jsonl", "rejected/shard_00116.jsonl", "rejected/shard_00117.jsonl", "rejected/shard_00118.jsonl", "rejected/shard_00119.jsonl", "rejected/shard_00120.jsonl", "rejected/shard_00121.jsonl", "rejected/shard_00122.jsonl", "rejected/shard_00123.jsonl", "rejected/shard_00124.jsonl", "rejected/shard_00125.jsonl", "rejected/shard_00126.jsonl", "rejected/shard_00130.jsonl", "rejected/shard_00131.jsonl", "rejected/shard_00132.jsonl", "rejected/shard_00133.jsonl", "rejected/shard_00134.jsonl", "rejected/shard_00135.jsonl", "rejected/shard_00137.jsonl", "rejected/shard_00140.jsonl", "rejected/shard_00141.jsonl", "rejected/shard_00142.jsonl", "rejected/shard_00143.jsonl", "rejected/shard_00144.jsonl", "rejected/shard_00146.jsonl", "rejected/shard_00148.jsonl", "rejected/shard_00149.jsonl", "rejected/shard_00150.jsonl", "rejected/shard_00151.jsonl", "rejected/shard_00152.jsonl", "rejected/shard_00154.jsonl", "rejected/shard_00155.jsonl", "rejected/shard_00156.jsonl", "rejected/shard_00157.jsonl", "rejected/shard_00158.jsonl", "rejected/shard_00159.jsonl", "rejected/shard_00160.jsonl", "rejected/shard_00161.jsonl", "rejected/shard_00162.jsonl", "rejected/shard_00164.jsonl", "rejected/shard_00166.jsonl", "rejected/shard_00170.jsonl", "rejected/shard_00174.jsonl", "rejected/shard_00175.jsonl", "rejected/shard_00176.jsonl", "rejected/shard_00177.jsonl", "rejected/shard_00178.jsonl", "rejected/shard_00180.jsonl", "rejected/shard_00181.jsonl", "rejected/shard_00182.jsonl", "rejected/shard_00184.jsonl", "rejected/shard_00186.jsonl", "rejected/shard_00187.jsonl", "rejected/shard_00188.jsonl", "rejected/shard_00190.jsonl", "rejected/shard_00191.jsonl", "rejected/shard_00195.jsonl", "rejected/shard_00196.jsonl", "rejected/shard_00197.jsonl", "rejected/shard_00199.jsonl", "rejected/shard_00201.jsonl", "rejected/shard_00203.jsonl", "rejected/shard_00204.jsonl", "rejected/shard_00205.jsonl", "rejected/shard_00206.jsonl", "rejected/shard_00207.jsonl", "rejected/shard_00208.jsonl", "rejected/shard_00209.jsonl", "rejected/shard_00210.jsonl", "rejected/shard_00213.jsonl", "rejected/shard_00214.jsonl", "rejected/shard_00216.jsonl", "rejected/shard_00217.jsonl", "rejected/shard_00218.jsonl", "rejected/shard_00222.jsonl", "rejected/shard_00225.jsonl", "rejected/shard_00226.jsonl", "rejected/shard_00234.jsonl", "rejected/shard_00235.jsonl", "rejected/shard_00236.jsonl", "rejected/shard_00237.jsonl", "rejected/shard_00238.jsonl", "rejected/shard_00240.jsonl", "rejected/shard_00241.jsonl", "rejected/shard_00244.jsonl", "rejected/shard_00245.jsonl", "rejected/shard_00247.jsonl", "rejected/shard_00249.jsonl", "rejected/shard_00250.jsonl", "rejected/shard_00252.jsonl", "rejected/shard_00253.jsonl", "rejected/shard_00256.jsonl", "rejected/shard_00257.jsonl", "rejected/shard_00258.jsonl", "rejected/shard_00261.jsonl", "rejected/shard_00262.jsonl", "rejected/shard_00263.jsonl", "rejected/shard_00265.jsonl", "rejected/shard_00266.jsonl", "rejected/shard_00267.jsonl", "rejected/shard_00269.jsonl", "rejected/shard_00270.jsonl", "rejected/shard_00271.jsonl", "rejected/shard_00272.jsonl", "rejected/shard_00273.jsonl", "rejected/shard_00276.jsonl", "rejected/shard_00277.jsonl", "rejected/shard_00279.jsonl", "rejected/shard_00280.jsonl", "rejected/shard_00282.jsonl", "rejected/shard_00285.jsonl", "rejected/shard_00286.jsonl", "rejected/shard_00287.jsonl", "rejected/shard_00290.jsonl", "rejected/shard_00291.jsonl", "rejected/shard_00292.jsonl", "rejected/shard_00293.jsonl", "rejected/shard_00295.jsonl", "rejected/shard_00296.jsonl", "rejected/shard_00297.jsonl", "rejected/shard_00301.jsonl", "rejected/shard_00305.jsonl", "rejected/shard_00309.jsonl", "rejected/shard_00313.jsonl", "rejected/shard_00314.jsonl", "rejected/shard_00316.jsonl", "rejected/shard_00317.jsonl", "rejected/shard_00318.jsonl", "rejected/shard_00319.jsonl", "rejected/shard_00321.jsonl", "rejected/shard_00322.jsonl", "rejected/shard_00323.jsonl", "rejected/shard_00324.jsonl", "rejected/shard_00325.jsonl", "rejected/shard_00326.jsonl", "rejected/shard_00328.jsonl", "rejected/shard_00329.jsonl", "rejected/shard_00330.jsonl", "rejected/shard_00331.jsonl", "rejected/shard_00332.jsonl", "rejected/shard_00333.jsonl", "rejected/shard_00335.jsonl", "rejected/shard_00336.jsonl", "rejected/shard_00337.jsonl", "rejected/shard_00339.jsonl", "rejected/shard_00346.jsonl", "rejected/shard_00347.jsonl", "rejected/shard_00350.jsonl", "rejected/shard_00351.jsonl", "rejected/shard_00352.jsonl", "rejected/shard_00353.jsonl", "rejected/shard_00354.jsonl", "rejected/shard_00355.jsonl", "rejected/shard_00359.jsonl", "rejected/shard_00362.jsonl", "rejected/shard_00365.jsonl", "rejected/shard_00366.jsonl", "rejected/shard_00367.jsonl", "rejected/shard_00368.jsonl", "rejected/shard_00369.jsonl", "rejected/shard_00371.jsonl", "rejected/shard_00372.jsonl", "rejected/shard_00373.jsonl", "rejected/shard_00377.jsonl", "rejected/shard_00378.jsonl", "rejected/shard_00379.jsonl", "rejected/shard_00381.jsonl", "rejected/shard_00382.jsonl", "rejected/shard_00383.jsonl", "rejected/shard_00386.jsonl", "rejected/shard_00387.jsonl", "rejected/shard_00388.jsonl", "rejected/shard_00389.jsonl", "rejected/shard_00391.jsonl", "rejected/shard_00393.jsonl", "rejected/shard_00394.jsonl", "rejected/shard_00395.jsonl", "rejected/shard_00396.jsonl", "rejected/shard_00397.jsonl", "rejected/shard_00398.jsonl", "rejected/shard_00400.jsonl", "rejected/shard_00402.jsonl", "rejected/shard_00405.jsonl", "rejected/shard_00406.jsonl", "rejected/shard_00407.jsonl", "rejected/shard_00409.jsonl", "rejected/shard_00410.jsonl", "rejected/shard_00411.jsonl", "rejected/shard_00412.jsonl", "rejected/shard_00413.jsonl", "rejected/shard_00415.jsonl", "rejected/shard_00416.jsonl", "rejected/shard_00418.jsonl", "rejected/shard_00422.jsonl", "rejected/shard_00423.jsonl", "rejected/shard_00424.jsonl", "rejected/shard_00425.jsonl", "rejected/shard_00426.jsonl", "rejected/shard_00428.jsonl", "rejected/shard_00429.jsonl", "rejected/shard_00430.jsonl", "rejected/shard_00432.jsonl", "rejected/shard_00433.jsonl", "rejected/shard_00434.jsonl", "rejected/shard_00435.jsonl", "rejected/shard_00436.jsonl", "rejected/shard_00438.jsonl", "rejected/shard_00441.jsonl", "rejected/shard_00445.jsonl", "rejected/shard_00446.jsonl" ], "reclaim_retried_shards": [ "rejected/shard_00004.jsonl", "rejected/shard_00005.jsonl", "rejected/shard_00006.jsonl", "rejected/shard_00009.jsonl", "rejected/shard_00010.jsonl", "rejected/shard_00016.jsonl", "rejected/shard_00017.jsonl", "rejected/shard_00018.jsonl", "rejected/shard_00019.jsonl", "rejected/shard_00025.jsonl", "rejected/shard_00026.jsonl", "rejected/shard_00027.jsonl", "rejected/shard_00028.jsonl", "rejected/shard_00030.jsonl", "rejected/shard_00032.jsonl", "rejected/shard_00035.jsonl", "rejected/shard_00036.jsonl", "rejected/shard_00039.jsonl", "rejected/shard_00041.jsonl", "rejected/shard_00042.jsonl", "rejected/shard_00044.jsonl", "rejected/shard_00046.jsonl", "rejected/shard_00049.jsonl", "rejected/shard_00050.jsonl", "rejected/shard_00052.jsonl", "rejected/shard_00053.jsonl", "rejected/shard_00056.jsonl", "rejected/shard_00057.jsonl", "rejected/shard_00058.jsonl", "rejected/shard_00059.jsonl", "rejected/shard_00064.jsonl", "rejected/shard_00065.jsonl", "rejected/shard_00066.jsonl", "rejected/shard_00067.jsonl", "rejected/shard_00071.jsonl", "rejected/shard_00072.jsonl", "rejected/shard_00073.jsonl", "rejected/shard_00075.jsonl", "rejected/shard_00076.jsonl", "rejected/shard_00079.jsonl", "rejected/shard_00084.jsonl", "rejected/shard_00085.jsonl", "rejected/shard_00086.jsonl", "rejected/shard_00089.jsonl", "rejected/shard_00090.jsonl", "rejected/shard_00091.jsonl", "rejected/shard_00094.jsonl", "rejected/shard_00095.jsonl", "rejected/shard_00096.jsonl", "rejected/shard_00097.jsonl", "rejected/shard_00100.jsonl", "rejected/shard_00103.jsonl", "rejected/shard_00105.jsonl", "rejected/shard_00106.jsonl", "rejected/shard_00107.jsonl", "rejected/shard_00108.jsonl", "rejected/shard_00109.jsonl", "rejected/shard_00111.jsonl", "rejected/shard_00113.jsonl", "rejected/shard_00115.jsonl", "rejected/shard_00116.jsonl", "rejected/shard_00117.jsonl", "rejected/shard_00118.jsonl", "rejected/shard_00119.jsonl", "rejected/shard_00120.jsonl", "rejected/shard_00121.jsonl", "rejected/shard_00122.jsonl", "rejected/shard_00123.jsonl", "rejected/shard_00124.jsonl", "rejected/shard_00125.jsonl", "rejected/shard_00126.jsonl", "rejected/shard_00130.jsonl", "rejected/shard_00131.jsonl", "rejected/shard_00132.jsonl", "rejected/shard_00133.jsonl", "rejected/shard_00134.jsonl", "rejected/shard_00135.jsonl", "rejected/shard_00137.jsonl", "rejected/shard_00140.jsonl", "rejected/shard_00141.jsonl", "rejected/shard_00142.jsonl", "rejected/shard_00143.jsonl", "rejected/shard_00144.jsonl", "rejected/shard_00146.jsonl", "rejected/shard_00148.jsonl", "rejected/shard_00149.jsonl", "rejected/shard_00150.jsonl", "rejected/shard_00151.jsonl", "rejected/shard_00152.jsonl", "rejected/shard_00154.jsonl", "rejected/shard_00155.jsonl", "rejected/shard_00156.jsonl", "rejected/shard_00157.jsonl", "rejected/shard_00158.jsonl", "rejected/shard_00159.jsonl", "rejected/shard_00160.jsonl", "rejected/shard_00161.jsonl", "rejected/shard_00162.jsonl", "rejected/shard_00164.jsonl", "rejected/shard_00166.jsonl", "rejected/shard_00170.jsonl", "rejected/shard_00174.jsonl", "rejected/shard_00175.jsonl", "rejected/shard_00176.jsonl", "rejected/shard_00177.jsonl", "rejected/shard_00178.jsonl", "rejected/shard_00180.jsonl", "rejected/shard_00181.jsonl", "rejected/shard_00182.jsonl", "rejected/shard_00184.jsonl", "rejected/shard_00186.jsonl", "rejected/shard_00187.jsonl", "rejected/shard_00188.jsonl", "rejected/shard_00190.jsonl", "rejected/shard_00191.jsonl", "rejected/shard_00195.jsonl", "rejected/shard_00196.jsonl", "rejected/shard_00197.jsonl", "rejected/shard_00199.jsonl", "rejected/shard_00201.jsonl", "rejected/shard_00203.jsonl", "rejected/shard_00204.jsonl", "rejected/shard_00205.jsonl", "rejected/shard_00206.jsonl", "rejected/shard_00207.jsonl", "rejected/shard_00208.jsonl", "rejected/shard_00209.jsonl", "rejected/shard_00210.jsonl", "rejected/shard_00213.jsonl", "rejected/shard_00214.jsonl", "rejected/shard_00216.jsonl", "rejected/shard_00217.jsonl", "rejected/shard_00218.jsonl", "rejected/shard_00222.jsonl", "rejected/shard_00225.jsonl", "rejected/shard_00226.jsonl", "rejected/shard_00234.jsonl", "rejected/shard_00235.jsonl", "rejected/shard_00236.jsonl", "rejected/shard_00237.jsonl", "rejected/shard_00238.jsonl", "rejected/shard_00240.jsonl", "rejected/shard_00241.jsonl", "rejected/shard_00244.jsonl", "rejected/shard_00245.jsonl", "rejected/shard_00247.jsonl", "rejected/shard_00249.jsonl", "rejected/shard_00250.jsonl", "rejected/shard_00252.jsonl", "rejected/shard_00253.jsonl", "rejected/shard_00256.jsonl", "rejected/shard_00257.jsonl", "rejected/shard_00258.jsonl", "rejected/shard_00261.jsonl", "rejected/shard_00262.jsonl", "rejected/shard_00263.jsonl", "rejected/shard_00265.jsonl", "rejected/shard_00266.jsonl", "rejected/shard_00267.jsonl", "rejected/shard_00269.jsonl", "rejected/shard_00270.jsonl", "rejected/shard_00271.jsonl", "rejected/shard_00272.jsonl", "rejected/shard_00273.jsonl", "rejected/shard_00276.jsonl", "rejected/shard_00277.jsonl", "rejected/shard_00279.jsonl", "rejected/shard_00280.jsonl", "rejected/shard_00282.jsonl", "rejected/shard_00285.jsonl", "rejected/shard_00286.jsonl", "rejected/shard_00287.jsonl", "rejected/shard_00290.jsonl", "rejected/shard_00291.jsonl", "rejected/shard_00292.jsonl", "rejected/shard_00293.jsonl", "rejected/shard_00295.jsonl", "rejected/shard_00296.jsonl", "rejected/shard_00297.jsonl", "rejected/shard_00301.jsonl", "rejected/shard_00305.jsonl", "rejected/shard_00309.jsonl", "rejected/shard_00313.jsonl", "rejected/shard_00314.jsonl", "rejected/shard_00316.jsonl", "rejected/shard_00317.jsonl", "rejected/shard_00318.jsonl", "rejected/shard_00319.jsonl", "rejected/shard_00321.jsonl", "rejected/shard_00322.jsonl", "rejected/shard_00323.jsonl", "rejected/shard_00324.jsonl", "rejected/shard_00325.jsonl", "rejected/shard_00326.jsonl", "rejected/shard_00328.jsonl", "rejected/shard_00329.jsonl", "rejected/shard_00330.jsonl", "rejected/shard_00331.jsonl", "rejected/shard_00332.jsonl", "rejected/shard_00333.jsonl", "rejected/shard_00335.jsonl", "rejected/shard_00336.jsonl", "rejected/shard_00337.jsonl", "rejected/shard_00339.jsonl", "rejected/shard_00346.jsonl", "rejected/shard_00347.jsonl", "rejected/shard_00350.jsonl", "rejected/shard_00351.jsonl", "rejected/shard_00352.jsonl", "rejected/shard_00353.jsonl", "rejected/shard_00354.jsonl", "rejected/shard_00355.jsonl", "rejected/shard_00359.jsonl", "rejected/shard_00362.jsonl", "rejected/shard_00365.jsonl", "rejected/shard_00366.jsonl", "rejected/shard_00367.jsonl", "rejected/shard_00368.jsonl", "rejected/shard_00369.jsonl", "rejected/shard_00371.jsonl", "rejected/shard_00372.jsonl", "rejected/shard_00373.jsonl", "rejected/shard_00377.jsonl", "rejected/shard_00378.jsonl", "rejected/shard_00379.jsonl", "rejected/shard_00381.jsonl", "rejected/shard_00382.jsonl", "rejected/shard_00383.jsonl", "rejected/shard_00386.jsonl", "rejected/shard_00387.jsonl", "rejected/shard_00388.jsonl", "rejected/shard_00389.jsonl", "rejected/shard_00391.jsonl", "rejected/shard_00393.jsonl", "rejected/shard_00394.jsonl", "rejected/shard_00395.jsonl", "rejected/shard_00396.jsonl", "rejected/shard_00397.jsonl", "rejected/shard_00398.jsonl", "rejected/shard_00400.jsonl", "rejected/shard_00402.jsonl", "rejected/shard_00405.jsonl", "rejected/shard_00406.jsonl", "rejected/shard_00407.jsonl", "rejected/shard_00409.jsonl", "rejected/shard_00410.jsonl", "rejected/shard_00411.jsonl", "rejected/shard_00412.jsonl", "rejected/shard_00413.jsonl", "rejected/shard_00415.jsonl", "rejected/shard_00416.jsonl", "rejected/shard_00418.jsonl", "rejected/shard_00422.jsonl", "rejected/shard_00423.jsonl", "rejected/shard_00424.jsonl", "rejected/shard_00425.jsonl", "rejected/shard_00426.jsonl", "rejected/shard_00428.jsonl", "rejected/shard_00429.jsonl", "rejected/shard_00430.jsonl", "rejected/shard_00432.jsonl", "rejected/shard_00433.jsonl", "rejected/shard_00434.jsonl", "rejected/shard_00435.jsonl", "rejected/shard_00436.jsonl", "rejected/shard_00438.jsonl", "rejected/shard_00441.jsonl", "rejected/shard_00445.jsonl", "rejected/shard_00446.jsonl" ], "dedup_shard_index": 482 }