#ifndef INPUT_DEVICE_H_
#define INPUT_DEVICE_H_

__device__  __constant__ float common_float_input[] = {
	2.41402913977, 7.65850839163, 6.57018671847, 9.80414661279, 
	-4.85665699159, 1.40699530361, -4.00834298395, 2.75964278884, 
	0.753262341411, 8.98645466109, -3.23323038093, -5.19239307522, 
	9.90331972115, 0.584347609233, 3.14268840228, -9.97311622408, 
	-5.96948683544, -0.831376506372, 1.19700873336, -1.96605078477, 
	-8.23109810903, -1.29516718578, -8.45815965182, -0.670358265412, 
	-3.24976484313, 6.39819111914, 7.33714421344, -3.52884896322, 
	3.03332474283, 4.5932481709, 8.91995616697, -2.87694449007, 
	-7.61484636122, 1.7265883128, 2.95949301825, 2.13195500359, 
	-4.76115294317, -0.421506880065, 8.98221583254, -1.31022386188, 
	1.22051829285, -9.81295303328, 7.08069139168, 9.03499725207, 
	-7.29925520458, 6.58551147809, 3.38853096935, 7.39922361637, 
	5.61074760553, 0.267656607305, -3.92687259716, 5.94862703359, 
	-7.68667549747, -0.224313773875, 1.52269709647, -9.29622879623, 
	2.41229422124, -3.69306674179, -4.29996911635, 4.2727654865, 
	5.92900308563, 0.021378756807, 8.08974926168, -5.52333043762, 
	-2.76493214307, -6.85399333285, -0.770411640811, 8.13926861709, 
	-3.10265510179, -0.25706896316, 0.00375881011646, -8.29025785655, 
	-0.516734468288, -8.02211349581, -6.30649718795, 8.66788571786, 
	-2.80592509615, -1.68280768331, -9.62574824486, 4.77507910988, 
	3.14988134977, 1.42891055327, 9.90292377242, 6.55882596072, 
	-8.54875363024, 0.622573619001, -1.62174532402, -6.48139765096, 
	1.97635086388, -7.65175980217, -2.62981402834, 6.24710558629, 
	-6.81646000167, 4.4693733079, 4.81423936346, 7.64454091337, 
	-3.88202919923, -2.78887676864, 8.35286114779, 9.26014594175, 
	1.64884459812, 8.35319565231, 0.69196796832, 7.02982849361, 
	7.82627409056, -9.82273650902, 5.35033922669, -8.6306197159, 
	0.95768314402, -0.252636994701, -8.14080566508, -1.3103301735, 
	-9.16100536427, 3.63403668456, -9.61459829128, 9.16886958736, 
	0.526091804679, -3.86532358275, 6.4977243401, -7.1990382726, 
	-6.51104454042, -7.46915749683, -9.34225762815, 7.65960642934, 
	-3.09998646446, -3.17577604382, -6.82271780545, -4.82743752118, 
	6.7635731489, -0.443955326818, -0.111571832634, -6.97720830328, 
	-5.62045714222, 3.77298203954, 0.625549536063, -7.23499605082, 
	6.61388957256, 9.6974860733, 2.73619629747, 9.41040832699, 
	7.65526487561, -1.09882039635, -4.20023909993, -0.339128005663, 
	0.24534027111, 2.02262947722, -5.72531457242, 4.18196481839, 
	8.50239487897, 6.27066631584, 8.84311590612, -2.33295873586, 
	-0.179735883731, 3.79696715395, 4.00790142229, -4.80345143147, 
	1.6746544459, -5.91605344649, 9.51118593738, -3.76969035762, 
	-8.70331082238, 0.774819393984, -9.58715854744, 7.31082617065, 
	-0.876864296053, 5.43481310694, 5.39671871111, 5.65472871598, 
	7.81278538663, -7.86138245382, -9.74657727237, -3.38391367634, 
	9.97467872344, -2.23551598183, 3.83574337483, -1.64003268571, 
	-5.78034848526, 9.41997570212, -0.735273499647, -9.03815318412, 
	0.992658121327, 9.00201765551, 0.178511539815, -2.62269707233, 
	3.29199691071, -2.93371142962, -1.93929303193, 3.11881646278, 
	3.04151574022, -5.85558098971, -3.31657171628, 4.37384612808, 
	-5.67532456086, 0.078185749595, 4.94053401732, 0.225583754937, 
	6.5894464817, -5.7153163796, -5.49691394243, -7.08593297598, 
	-4.4060699674, -9.01879325141, 2.0829691237, -1.60517735892, 
	-4.95843487614, 2.68376321302, 5.73243166438, 5.60318533049, 
	8.42504918213, 8.04727421105, -0.177456592557, 5.48311346299, 
	3.30054341334, -5.23846329198, 8.1073799034, -7.54419253278, 
	6.02443959913, -3.89996016897, -8.92858441661, 1.47579350179, 
	-7.98416185095, -9.96208329475, 3.84586400437, 2.36617260487, 
	-9.349548423, -5.30100311328, -3.05918943304, 2.39149394492, 
	4.85895477755, 5.42920805013, 5.6169918571, 6.75065343372, 
	1.50402010026, -1.44274481069, 7.02567983202, -4.18236711083, 
	3.87535836654, -1.8557499295, 1.14942116674, -5.2447272067, 
	3.65955856372, -4.74072797443, -0.437332073748, -6.93982594683, 
	2.45286886249, 0.403403784041, 5.65166409406, -2.21839157567, 
	-7.09492923926, -1.81718828402, -6.36886960406, 0.41141289371, 
	2.75343885008, -1.34412180815, -0.0411522036819, -7.00685900761, 
	-9.98789755681, 1.67412693942, 7.19557187614, -4.23876985321, 
	9.52029688895, -3.40164205102, -4.65019467949, 2.63607190273, 
	7.56174186237, -9.89265386175, 7.52185232248, 1.66502573817, 
	-2.41159954174, 6.01879560968, -6.3672435836, 2.38386837255, 
	4.73425817315, 7.74560412674, 6.99942119683, 6.77984522804, 
	2.77234371097, 1.74868474562, -1.05707374642, 1.5489820833, 
	-8.93705730548, -8.02354623722, -8.68941604775, 6.68714661609, 
	-7.5399178742, 2.80174218618, -6.45692082868, 5.46291434825, 
	-1.54169329446, -9.83555526797, 0.271318277776, 5.24381294776, 
	-7.35535452136, -7.78658265782, -6.93081663079, -6.46218779678, 
	-8.23488185225, -3.36871425382, -7.76030698362, -3.60824815595, 
	8.97214234524, -4.76425525023, -6.46246778865, -4.32257590096, 
	-7.45924967072, 7.00539569904, 1.31033189633, -9.58225907937, 
	6.2967184082, 1.43542500956, 5.35343004217, -6.66991062715, 
	5.34568941213, 4.78471328423, 6.94259491104, -0.928160258876, 
	-0.695893355115, 8.82571940821, -8.42940626582, 1.70419913889, 
	5.44709482658, -4.92351265501, -5.21526814258, 3.60855989673, 
	-8.5070917783, -6.65578431361, -9.64633924454, 8.97470988661, 
	8.61554040725, 9.80092283885, 4.59392764545, 0.749894652441, 
	3.62906244241, 0.0907504271618, 5.70037956104, -5.81830423163, 
	5.5104060351, -1.50184185442, 1.46494429626, -8.76761097044, 
	-4.27782468266, 8.01920759861, -7.7729330388, 9.89476808234, 
	6.46189928185, -6.41794023401, -9.30241500334, 6.69842925194, 
	3.20382799978, -9.23440355658, 9.92773715177, 4.64986514732, 
	-1.21742834571, -6.38140718211, 9.99354732255, -6.67231142022, 
	-5.63947372546, -7.11017974509, 6.73848738141, -7.76177072779, 
	-2.50546724177, 0.997567079087, -7.90983650399, -3.70352182103, 
	-5.23185562816, 7.84351146938, -0.416867974071, -7.11650397743, 
	1.59386501847, 7.90209031207, 0.538550619462, 1.54887151048, 
	2.406962487, 8.63121497026, 0.703743093905, -3.0413499837, 
	9.06219251239, -8.69434331621, 9.27054043897, -2.76872748836, 
	-0.3734803744, 2.78368366546, -6.47261961244, 4.94875797469, 
	-8.89256811661, 8.43663066181, -9.23829126056, -6.99595178976, 
	-9.43539144689, 7.67697347605, 5.49121348506, 8.09654269564, 
	2.05799481312, 3.25888429813, -6.75532913647, 4.41007523002, 
	6.6077220969, 5.94829700391, 8.09374388574, -1.27536049523, 
	9.51869970436, -4.85725758076, -9.11765415375, -5.93763506032, 
	-0.562874589931, 5.8831744437, -7.94080015099, -6.06605894049, 
	1.92186735664, -1.56532177599, 2.19317064562, 8.23284068058, 
	5.60229536828, -9.49181680664, -3.49280784295, -8.52965882533, 
	7.81228003039, -1.95347150954, -2.40999128584, -5.31696662156, 
	-7.0145082203, -6.99365297548, 7.02471888114, -3.27434564803, 
	-7.50527841985, 4.35414833728, 9.29639862552, -7.73651890212, 
	1.89723563704, -7.17424843033, -6.31293744278, 2.25685408441, 
	-6.81471191738, 2.04355753132, -4.81096710935, -3.59130408261, 
	5.80683658627, 6.27852313355, 8.90446901499, 2.13445112114, 
	-9.65974961526, 8.05371494793, 1.32454420502, -0.105521324274, 
	-9.39742571714, 9.85310810574, 0.83695987353, 0.307000095853, 
	5.90060231122, 1.08841789808, 8.24735934212, 9.69586146305, 
	-4.11522956361, 4.0793359355, 0.128425830553, -9.58445755409, 
	0.013801879459, -8.43436808612, -2.46862001566, 9.34469451096, 
	-2.39386084215, -1.38528619145, 0.376289678331, 0.89430000248, 
	0.286515493359, -1.7633691451, -4.91138580881, 3.39431952308, 
	7.23919447137, 2.58795511109, 4.50504512186, -1.53799634993, 
	-6.55484514761, -5.96775448191, -0.0295220549242, -8.96354369737, 
	-2.41274966881, -7.61062751052, -0.652694413125, -4.20615224831, 
	6.74075283111, -5.91453900787, 6.07589584055, 1.25108939605, 
	-7.22912102067, 2.40923669612, 0.86607232246, 8.19081556128, 
	4.34711482234, 7.99258456292, -6.708253622, -6.00638934724, 
	-4.97174640191, -9.94010416668, 0.725423538586, -1.22523211699, 
	-9.40713070832, -0.991480096208, 1.30511901587, -6.55183976577, 
	-2.9960523758, -0.396116016334, 2.5167390572, 0.72540877691, 
	-6.37334828263, 9.33969396338, -2.14242544215, 5.68674283448, 
	-7.22988868561, 6.45774938501, -0.316238790059, -8.02625211109, 
	0.521440651515, -1.51066667304, 8.76071575906, 5.87002690038, 
	-4.17888632096, 6.46334004192, -3.88806588441, 9.62985903555, 
	3.32635939532, -3.59420334553, -9.48416753402, 3.2553007964, 
	8.44906550593, -9.18152591424, 4.12148009864, -0.236938516205, 
	8.30024332318, 5.816503847, -6.08900933335, -7.94491643089, 
	-3.72829604913, 4.22444292859, -6.0083461638, -9.50637927189, 
	1.98597953942, 7.73772819642, 1.63208865192, 7.07330432823, 
	-5.17979213053, -8.95309612039, 7.84053138485, -6.46645918776, 
	-6.02122077537, -5.65945625999, 7.33014649929, 6.68702062818, 
	5.63140464483, 0.94464281305, 3.14706943584, 9.79429643477, 
	-1.44180146488, 9.42109182998, -7.00319267093, -3.74926465729, 
	6.63996033209, 1.45735349435, 8.67819226558, -9.45491162651, 
	2.31258085697, -7.66004383463, 9.99590649971, -9.84962981716, 
	-8.06458815403, 8.96682281587, 0.371462150198, 4.10050648819, 
	-2.0764614675, 1.87647536411, -4.88392101613, -4.03050630443, 
	-3.48791622376, 2.13611811054, 4.95062447284, 9.18825091709, 
	-0.491501134842, 6.67072807058, 0.757997270726, -3.34355078959, 
	-8.89876704589, 7.54243818731, -4.20497331698, -3.22177775809, 
	-8.66834196251, -7.44478397831, -0.800717801286, 3.42727761748, 
	-5.30854056602, 2.81727427899, -7.66822126976, -4.33335498071, 
	-6.80137832552, -3.80007356638, -5.06148074268, 6.001173306, 
	1.25697165356, -4.68420005001, 4.52308401665, -4.87948473658, 
	-3.92229786749, -9.01806104756, -8.32816260837, -6.25176926251, 
	-2.65952025231, -3.73575790922, -8.12718598018, 4.67933642013, 
	3.17224476123, 7.66875583352, 0.411370822658, -3.02607192196, 
	-4.48579705245, 8.72630149296, 0.412549957243, 3.62325937163, 
	-8.29384877497, -4.56253699042, 6.12857761594, 6.40984837408, 
	-6.23008203444, 2.94701524272, 5.84677349913, 1.49909542447, 
	4.46049791935, 9.90532774185, -1.69230574748, -8.33659247424, 
	-0.543365826418, 4.62339648063, -3.1338550932, -3.37910660065, 
	-4.71252836505, -2.27071212153, -7.90195504673, 1.31648655473, 
	3.16918835349, -2.04215110622, -0.0648034551791, -4.99566702968, 
	2.75031555829, -2.39791663768, -9.35640107832, -3.332307932, 
	-1.78199963153, -6.10886202031, 5.00846712473, 5.41679147637, 
	-6.97532328055, -1.24072440339, 1.83527864207, -0.829314320972, 
	8.86174021702, 3.79158251065, 6.07129345055, -2.15908054222, 
	0.0804740197021, 0.707353371699, -7.9675140699, 8.88598174871, 
	3.73000024216, 1.60817843035, -8.89526955582, 6.33149628893, 
	-7.35376110437, 7.46389101751, -0.0852495808324, -6.25219520293, 
	7.58566312321, 5.87522078144, 2.03353545571, 8.88259408951, 
	5.95267346832, -0.661480826176, 4.60888966328, 0.321686484505, 
	6.71195674739, -8.54243983136, 5.04371078596, 6.55484233502, 
	4.031780793, -0.469933802898, 2.76763000228, 0.481231305397, 
	-7.45746899401, -1.49128610058, 2.23403320744, -8.14820831371, 
	-2.58811133051, 1.42789262222, -8.70493634055, 9.77075533542, 
	0.718085848638, 8.7737046278, -2.06650387786, 7.72469222002, 
	-6.95310186203, 5.42351246683, 5.62210102877, 3.2495258676, 
	-6.01472578347, -8.10612473651, -3.44414807806, 0.964494874292, 
	-1.25336548376, -6.10598935257, -2.04361163789, 8.76092494534, 
	2.49832804975, -1.94125151581, -9.77787370699, -5.50702423646, 
	-9.42046125882, -0.0979965917911, 6.61614678006, 8.1289856254, 
	-4.1685584036, -0.798645676538, 7.26199840761, -9.86609999581, 
	8.00269243244, 9.17050068448, 0.3630543508, 8.83376454362, 
	-8.5183819034, -2.05292839865, 7.801230762, 7.21289430472, 
	-7.50817704984, 0.243494983012, -8.17409029533, 0.253268887573, 
	3.5475333822, -6.21317827706, -4.3935559326, -9.82794991157, 
	-9.45742499118, -8.09598538714, -0.442381771901, 0.363648567229, 
	-0.815341730482, 9.75417676854, 7.00055812752, -3.59281930826, 
	-7.85553427728, 0.421808840145, 2.22316751701, -3.80963946323, 
	5.03708878144, 8.46273799251, 3.30550655162, -9.43399987891, 
	9.46429511277, 1.87488337544, -3.79491532835, -0.572087347949, 
	5.25935878721, 1.03473513205, 0.207264777203, -0.720572180818, 
	-7.37984253947, 2.53304045288, 7.3614107064, 1.51774133549, 
	-4.12031966059, -9.52697678539, -7.51331985601, -7.62109798154, 
	1.35572143135, 7.76536399197, 0.35859267326, -5.80215198763, 
	-0.440753306325, -6.00879799915, 9.92998280624, -0.537083653568, 
	0.821940749715, 1.38062748848, -9.44309264851, 2.19828260256, 
	4.86702597726, -2.87119473551, -9.56573721305, -4.20744572265, 
	7.87170785555, 0.810471293271, 4.77716148499, 1.13385048068, 
	5.5601540242, 4.16052609615, -7.46630274436, 4.18256277772, 
	-2.20246360718, 8.3474602693, 2.57352419181, -9.62109133667, 
	-2.35213557311, 8.57142300672, -0.15695677026, 0.749450470949, 
	-0.948546933054, -0.397034456903, 3.00626200909, -1.71241171225, 
	-6.12482532162, -4.69341597636, -1.97305698435, 6.96744601616, 
	-2.38784107205, 5.06218302859, -0.601652095466, 5.60226410794, 
	3.59878861382, 4.41065109351, -2.40236659932, -3.8425032102, 
	-1.73315045312, 1.41485283038, 8.16437111272, 1.94117825173, 
	-5.87351304202, -1.13534020743, -2.38480422889, -4.39873178396, 
	5.03972442868, -4.23347076985, 7.91705146748, 1.88737566316, 
	4.64124943499, 4.21148917075, -3.96666975788, 0.33927750911, 
	0.224015491469, 8.23204051119, 7.34640970712, -1.80649478106, 
	8.94297810786, -5.63796108207, -8.06537250095, 1.77404759541, 
	3.1314063331, 0.548770287441, -5.3281733294, -3.4591761573, 
	3.09480378277, -1.87097921949, -3.4240727229, 7.23174887192, 
	-8.43435326355, 0.904334063737, 8.21376905514, -3.86482463031, 
	-8.9634921347, -6.19648566334, -5.66952793593, 7.09000363048, 
	1.91906868921, -8.05838547114, 7.15237846564, -1.56095631321, 
	-5.04627871921, 6.05055358523, 1.85641256483, 6.57071681923, 
	8.23494991192, 4.65369326273, 9.67100027793, -9.44414172075, 
	-4.7739748078, -7.10549096036, -7.78721465747, -1.01894008518, 
	-4.97302897994, 1.62206366801, -0.162929371964, -5.60980424243, 
	-0.644036491045, 8.62949347178, -8.69525822184, -2.87584867567, 
	-8.97558342206, 4.77340455908, 7.11208666512, 7.71482184007, 
	7.60546222237, 6.5038967742, 6.32305199103, -7.78005768363, 
	-1.65741479103, -2.81577399366, -1.20977277948, 8.29670270275, 
	7.6236583057, 2.34876905574, -0.61703899151, -1.18955594108, 
	-3.91594340333, -3.67564729522, -9.54479485338, -7.20015410968, 
	-8.95677330403, 7.36349208455, 9.4251783571, 2.70765157054, 
	0.14018204293, 9.18283991246, 3.33691904061, -9.43399752791, 
	-1.58920452992, -7.76352206643, 7.98066190076, -7.61349007487, 
	8.9907265962, -7.86589234325, 3.4686102646, -8.52984883416, 
	-1.12984170339, 6.26132513608, 3.08522815352, -1.80905407867, 
	6.35975040397, 5.79813039561, -3.14235093057, 1.64057003362, 
	-3.13180169404, -3.89769592251, 1.83072339323, 4.5065764253, 
	-5.18833655036, -0.0493604800881, -1.97002136908, -3.94776106072, 
	-2.85093289348, 5.23309941412, -9.3539443511, 3.97695789903, 
	-3.73245159379, 1.95457296396, 6.11879559036, 3.68366114965, 
	4.37976182014, -8.71931517401, 5.143609877, -5.55504031899, 
	-9.17103794128, 1.51992606771, 8.41553401895, 9.78335439014, 
	2.14131517662, 3.8673457671, 5.49076504596, 8.90893718755, 
	-6.08899618639, -9.9691062848, -2.00949008492, -8.98688998365, 
	8.89203772943, -4.292474488, 3.57972386747, -3.52563067544, 
	-4.1621849542, -0.682530547643, 6.86254101175, 2.40273546624, 
	2.83706318117, -2.75463552454, 5.48364250933, 4.58172165887, 
	-1.62994922245, -0.334727706489, 4.74395154153, 6.42222434141, 
	-5.23799453101, -2.42583480314, -3.31438375947, 8.82048289241, 
	9.05254646477, -1.65176714358, 1.11850209287, -6.11289943338, 
	4.50073575952, -4.26621069373, -9.01187128873, -1.80474317563, 
	6.69318465484, -6.34953675301, -4.48063570956, 1.15623846517, 
	-1.35367234467, -7.90751755027, -0.0675583765527, -9.0984400263, 
	2.72128270487, 0.383167124181, 6.20911790398, 3.99139250613, 
	-7.2309035232, -0.494021738584, -5.99020463473, -0.368724826829, 
	-2.43391780235, 3.98105653844, 2.52821022783, -2.69531887529, 
	0.348961444698, 4.46291160242, -8.75223672303, -2.52524711504, 
	-7.08358851225, 7.66012690338, 0.384392659234, -2.76703265896, 
	-9.39725183764, 8.60458288158, -1.23949887317, -5.59880798874, 
	0.522626280632, 1.65576240479, -8.69470502817, -4.6146476747, 
	2.30277697263, -3.07909166553, -0.190296275476, -4.18763357843, 
	};

__device__ __constant__ __restrict__ int32_t common_int_input[] = {
	32628, 4736, 16120, 56777, 27068, 6252, 17497, 40445, 
	54733, 51333, 60735, 10262, 29695, 38862, 8655, 37346, 
	1545, 54551, 14229, 42893, 45716, 51210, 21663, 40089, 
	64550, 48635, 51683, 55465, 8702, 64484, 47140, 8156, 
	44242, 217, 26709, 29171, 23389, 53184, 46888, 46442, 
	14834, 475, 38150, 36697, 37760, 48259, 56753, 50801, 
	35647, 2633, 20961, 23335, 63807, 45699, 59325, 48474, 
	25351, 23349, 39257, 47743, 47717, 8833, 28573, 48927, 
	62630, 21482, 14771, 14962, 37351, 40587, 22111, 42213, 
	18614, 23188, 52947, 44969, 37959, 26174, 785, 52595, 
	38824, 59018, 29280, 57831, 51122, 24828, 38234, 26524, 
	63761, 56119, 20191, 59466, 8305, 1307, 3648, 40980, 
	29483, 31989, 42322, 10639, 3415, 42672, 9424, 62555, 
	28886, 10734, 13819, 5893, 10937, 22947, 16573, 47334, 
	37754, 37903, 54629, 46001, 44532, 24950, 60764, 24198, 
	23162, 855, 31203, 7039, 26158, 16362, 21428, 31326, 
	28465, 19997, 32710, 17738, 56009, 30858, 9220, 34070, 
	42236, 10471, 7639, 37128, 63470, 42534, 26716, 41520, 
	14971, 29379, 13767, 53928, 2511, 43340, 32103, 20274, 
	3247, 387, 16570, 46560, 23316, 20559, 11729, 17051, 
	16579, 23184, 25856, 62026, 31278, 59901, 45547, 62346, 
	598, 36978, 61947, 37387, 38985, 4786, 31954, 60567, 
	63645, 47160, 15074, 40007, 7896, 2116, 52155, 55877, 
	45076, 49646, 15041, 39600, 43058, 24811, 17078, 63116, 
	40002, 8154, 6363, 65390, 56511, 58335, 59064, 49143, 
	65158, 19706, 20318, 30324, 43904, 49863, 28693, 19787, 
	52480, 49571, 46894, 30122, 15386, 41342, 47060, 27142, 
	51254, 39155, 56187, 59085, 32321, 25777, 8867, 28511, 
	38848, 41425, 51650, 3645, 31887, 48147, 48742, 1370, 
	33723, 43997, 53855, 54772, 1503, 35127, 8252, 54478, 
	13877, 46091, 59901, 4878, 64462, 35569, 55919, 64033, 
	2473, 39328, 52680, 42166, 14424, 3119, 36663, 14384, 
	52846, 18891, 16928, 41985, 21283, 46209, 52837, 46439, 
	63946, 18511, 45828, 8080, 22438, 39417, 49270, 37197, 
	32523, 56317, 64322, 62590, 28180, 54503, 20017, 17675, 
	65072, 24690, 2009, 64795, 18178, 20414, 40728, 53298, 
	22069, 24175, 59963, 52561, 24336, 11183, 51520, 51774, 
	49683, 39172, 21615, 60810, 36325, 29895, 52361, 21131, 
	45612, 11316, 47349, 20719, 32440, 48130, 20301, 28648, 
	4067, 7263, 10685, 39913, 9745, 13862, 57049, 9011, 
	20122, 36202, 58234, 62117, 7436, 64559, 22376, 39017, 
	55617, 53396, 373, 63769, 17039, 56156, 27010, 12172, 
	21823, 15451, 33611, 18466, 58353, 20141, 48094, 20728, 
	51169, 24516, 54961, 22920, 2949, 49182, 55299, 52146, 
	54449, 13437, 58770, 33683, 30354, 34456, 41392, 24685, 
	22931, 24718, 7521, 1664, 27484, 65036, 28600, 47719, 
	965, 56813, 56948, 16748, 2988, 6517, 10370, 42362, 
	65214, 7176, 21538, 13013, 14546, 10208, 8115, 23610, 
	18422, 64624, 53258, 57046, 63325, 43460, 47109, 35696, 
	46640, 37263, 11176, 8022, 29302, 22643, 32762, 16131, 
	19608, 28327, 57833, 283, 6285, 17143, 6921, 7464, 
	65472, 23671, 23784, 47543, 17921, 56955, 35370, 31100, 
	65075, 2907, 15692, 9367, 30426, 52225, 51839, 36577, 
	11070, 21807, 48652, 37264, 55454, 37745, 917, 28748, 
	4639, 51622, 62321, 55277, 53659, 59817, 30901, 39641, 
	36438, 56324, 35498, 7056, 23515, 42581, 17153, 12062, 
	53692, 20807, 62767, 8768, 45046, 35308, 33296, 23024, 
	8519, 62252, 64991, 33758, 13572, 20751, 43274, 61656, 
	45609, 46613, 10771, 15496, 42875, 41230, 10580, 56592, 
	49483, 63448, 55357, 27309, 27262, 35395, 5883, 39117, 
	46143, 17383, 28093, 9139, 21750, 12527, 46826, 3477, 
	7057, 49985, 43523, 13399, 6284, 2731, 46427, 54376, 
	33691, 53668, 3620, 43180, 48978, 53176, 4673, 46180, 
	62072, 28515, 7552, 63948, 23360, 42466, 59917, 27527, 
	32034, 23943, 11236, 55107, 47472, 54190, 54802, 5095, 
	58131, 1901, 48934, 22233, 12127, 59272, 58154, 40963, 
	52684, 8397, 55594, 15553, 40039, 11939, 17503, 6689, 
	13460, 39800, 59464, 22658, 49371, 16354, 58786, 60732, 
	44503, 6724, 37007, 64531, 13432, 54301, 27030, 46448, 
	36083, 48331, 6696, 62452, 31374, 35471, 55776, 18257, 
	339, 7956, 61244, 38933, 2190, 30747, 12361, 14169, 
	58559, 12376, 18709, 63976, 14853, 46633, 27524, 787, 
	42505, 30363, 3100, 64700, 24922, 23463, 36644, 12699, 
	45447, 15276, 64472, 22660, 57232, 20025, 25106, 43736, 
	42212, 13416, 63398, 2461, 58482, 58616, 48411, 9405, 
	1774, 18938, 16423, 3710, 13716, 5800, 2292, 48416, 
	1551, 26227, 40754, 43818, 35750, 40686, 14783, 58235, 
	45979, 78, 7503, 7546, 23765, 39910, 6341, 57948, 
	48230, 31801, 40314, 25263, 6662, 62173, 37141, 17224, 
	52488, 21337, 56529, 33442, 54267, 45723, 47021, 56449, 
	1324, 30583, 46034, 17544, 6288, 31692, 17757, 22107, 
	13785, 53263, 60009, 19953, 51632, 43338, 18441, 11872, 
	53136, 5404, 62944, 11515, 47187, 55498, 21254, 39838, 
	20995, 55346, 38741, 4604, 48577, 463, 9586, 7963, 
	31821, 22223, 31750, 46103, 51290, 44501, 26132, 49477, 
	1113, 39722, 8410, 25587, 41878, 57975, 64102, 24336, 
	41886, 50479, 18283, 21764, 54393, 24856, 16793, 12462, 
	32719, 36202, 59456, 63547, 30882, 45744, 27884, 59683, 
	28232, 25668, 51848, 11456, 58523, 31470, 29228, 14731, 
	47670, 45680, 46969, 4179, 25813, 29707, 25162, 56204, 
	2823, 47711, 57923, 22297, 19275, 25390, 41903, 53256, 
	17149, 22208, 51475, 44150, 2761, 53851, 38915, 16200, 
	20893, 35112, 32733, 12325, 47676, 4380, 1170, 61632, 
	24713, 63316, 18528, 53538, 12245, 26464, 36203, 61866, 
	28097, 64558, 57317, 29777, 19627, 29235, 15672, 30571, 
	10156, 7510, 37037, 17753, 55721, 28287, 27934, 57353, 
	34888, 32221, 39285, 43835, 43627, 18451, 57654, 32336, 
	27317, 47207, 5864, 45226, 48813, 49576, 3394, 41829, 
	58632, 31500, 56962, 8707, 60616, 8968, 60404, 55182, 
	62762, 36658, 46239, 61437, 35172, 9356, 47431, 56316, 
	54265, 18458, 26265, 12367, 65170, 12407, 36130, 62801, 
	53859, 64871, 1503, 17855, 21133, 9230, 49248, 60307, 
	55264, 6630, 41284, 30855, 62418, 21204, 41122, 49769, 
	17772, 30872, 22652, 38279, 34078, 50309, 56811, 46536, 
	25681, 46704, 5578, 15161, 5744, 27181, 3012, 5118, 
	26870, 31798, 32869, 25380, 4420, 31807, 9218, 27261, 
	62236, 33392, 27545, 22857, 27255, 18844, 27846, 57679, 
	41995, 61222, 57417, 52587, 31518, 40483, 40685, 17232, 
	49755, 60174, 48235, 6964, 50279, 24623, 12509, 27809, 
	8974, 40904, 55029, 33668, 57235, 4712, 8135, 3560, 
	39933, 49083, 38455, 57298, 24562, 8172, 22129, 63036, 
	9771, 13732, 55766, 48971, 62722, 21051, 63044, 17246, 
	40657, 15822, 46971, 26538, 20210, 41402, 52616, 18986, 
	35810, 60650, 36885, 61863, 27406, 28358, 24981, 41398, 
	55812, 46436, 64950, 31299, 40615, 23751, 29793, 36630, 
	33555, 35401, 7239, 65075, 28528, 29658, 21797, 13792, 
	1754, 11831, 10665, 43038, 30127, 30093, 43458, 34426, 
	57469, 12146, 52524, 49435, 9986, 33361, 39028, 49892, 
	48274, 36080, 42503, 34975, 2895, 33432, 46169, 35586, 
	55567, 33142, 39804, 51789, 17865, 23539, 6706, 41967, 
	12447, 47698, 39408, 50795, 37489, 19443, 31232, 40311, 
	41517, 24942, 52851, 33501, 40359, 16609, 7901, 8371, 
	55099, 27931, 11028, 40159, 1543, 33996, 12448, 467, 
	11922, 12136, 24926, 65439, 17699, 2658, 23564, 37686, 
	10623, 11899, 45336, 29434, 25488, 61547, 44994, 51584, 
	50511, 51617, 52786, 32795, 43795, 53292, 2345, 40358, 
	44226, 8130, 53021, 5904, 23333, 44127, 42982, 10607, 
	51926, 61446, 7555, 43826, 24755, 4054, 56583, 280, 
	};

__device__  __constant__ __restrict__ int32_t inverse_mul_input[] = {
	131635, 906877, 266438, 75647, 158674, 686975, 245469, 106193, 
	78472, 83669, 70717, 418532, 144637, 110519, 496242, 115005, 
	2779915, 78734, 301847, 100133, 93949, 83870, 198263, 107136, 
	66538, 88311, 83103, 77436, 493561, 66606, 91111, 526603, 
	97079, 19792477, 160806, 147235, 183632, 80757, 91601, 92481, 
	289536, 9042037, 112582, 117039, 113744, 88999, 75679, 84545, 
	120487, 1631207, 204903, 184057, 67312, 93984, 72398, 88604, 
	169421, 183947, 109407, 89961, 90010, 486242, 150316, 87784, 
	68577, 199934, 290771, 287059, 114990, 105822, 194246, 101746, 
	230739, 185224, 81119, 95510, 113148, 164093, 5471296, 81662, 
	110627, 72774, 146687, 74268, 84015, 172989, 112334, 161928, 
	67361, 76534, 212717, 72226, 517155, 3286127, 1177349, 104807, 
	145677, 134264, 101484, 403701, 1257678, 100651, 455748, 68660, 
	148687, 400128, 310802, 728826, 392701, 187170, 259155, 90738, 
	113762, 113315, 78621, 93367, 96447, 172143, 70683, 177493, 
	185432, 5023354, 137646, 610168, 164194, 262497, 200438, 137106, 
	150886, 214781, 131305, 242134, 76684, 139185, 465832, 126064, 
	101690, 410178, 562243, 115681, 67670, 100978, 160764, 103444, 
	286886, 146192, 311976, 79643, 1710461, 99100, 133788, 211847, 
	1322750, 11098107, 259202, 92246, 184207, 208910, 366184, 251890, 
	259061, 185256, 166112, 69245, 137316, 71702, 94298, 68890, 
	7182220, 116150, 69333, 114879, 110170, 897403, 134411, 70913, 
	67484, 91073, 284926, 107356, 543943, 2029758, 82351, 76865, 
	95283, 86512, 285551, 108459, 99749, 173108, 251492, 68049, 
	107369, 526732, 674991, 65683, 76003, 73626, 72718, 87398, 
	65917, 217953, 211388, 141636, 97827, 86136, 149687, 217061, 
	81841, 86643, 91589, 142586, 279148, 103889, 91266, 158241, 
	83798, 109692, 76441, 72692, 132885, 166621, 484377, 150643, 
	110559, 103681, 83156, 1178318, 134694, 89206, 88117, 3135013, 
	127361, 97620, 79751, 78416, 2857597, 122270, 520476, 78839, 
	309503, 93185, 71702, 880478, 66628, 120751, 76807, 67075, 
	1736744, 109209, 81530, 101859, 297766, 1377034, 117148, 298594, 
	81274, 227356, 253720, 102298, 201803, 92947, 81288, 92487, 
	67166, 232023, 93720, 531556, 191415, 108963, 87173, 115466, 
	132060, 76265, 66773, 68621, 152412, 78803, 214566, 242997, 
	66004, 173956, 2137864, 66286, 236273, 210394, 105455, 80585, 
	194616, 177662, 71627, 81714, 176487, 384063, 83366, 82957, 
	86448, 109644, 198704, 70630, 118238, 143669, 82027, 203255, 
	94164, 379549, 90709, 207297, 132398, 89237, 211565, 149923, 
	1056053, 591349, 401963, 107609, 440736, 309838, 75286, 476637, 
	213447, 118639, 73754, 69144, 577592, 66528, 191946, 110080, 
	77225, 80437, 11514658, 67352, 252067, 76483, 159014, 352857, 
	196810, 277974, 127785, 232588, 73604, 213245, 89304, 207207, 
	83937, 175191, 78146, 187390, 1456415, 87329, 77669, 82365, 
	78881, 319638, 73081, 127512, 141496, 124651, 103764, 173991, 
	187300, 173759, 571064, 2581111, 156272, 66040, 150174, 90006, 
	4450744, 75599, 75420, 256447, 1437406, 659041, 414173, 101388, 
	65860, 598519, 199414, 330053, 295268, 420746, 529263, 181914, 
	233144, 66461, 80645, 75290, 67825, 98826, 91171, 120321, 
	92088, 115261, 384303, 535399, 146576, 189682, 131097, 266256, 
	219042, 151621, 74265, 15176563, 683368, 250538, 620571, 575425, 
	65601, 181445, 180583, 90339, 239662, 75410, 121430, 138102, 
	66001, 1477457, 273705, 458522, 141162, 82240, 82853, 117423, 
	387983, 196954, 88280, 115258, 77451, 113790, 4683716, 149401, 
	925840, 83201, 68917, 77699, 80042, 71802, 138992, 108347, 
	117871, 76255, 120992, 608698, 182648, 100866, 250392, 356075, 
	79993, 206420, 68428, 489846, 95347, 121643, 128994, 186544, 
	504164, 68994, 66086, 127229, 316458, 206977, 99251, 69661, 
	94170, 92141, 398753, 277167, 100175, 104171, 405952, 75894, 
	86797, 67693, 77587, 157273, 157545, 121344, 730065, 109798, 
	93080, 247079, 152884, 469961, 197470, 342857, 91722, 1235251, 
	608611, 85926, 98683, 320544, 683477, 1572673, 92511, 78987, 
	127482, 80029, 1186456, 99467, 87692, 80769, 919103, 93005, 
	69194, 150622, 568720, 67164, 183860, 101139, 71682, 156028, 
	134076, 179384, 382251, 77939, 90474, 79258, 78373, 842977, 
	73885, 2259320, 87771, 193180, 354166, 72462, 73856, 104850, 
	81524, 511489, 77256, 276151, 107270, 359743, 245385, 642095, 
	319092, 107914, 72229, 189557, 86994, 262625, 73062, 70721, 
	96510, 638752, 116059, 66557, 319757, 79096, 158897, 92469, 
	119031, 88866, 641423, 68773, 136896, 121084, 77004, 235251, 
	12669521, 539841, 70129, 110317, 1961173, 139688, 347462, 303125, 
	73345, 347041, 229567, 67135, 289165, 92102, 156045, 5457392, 
	101047, 141454, 1385474, 66383, 172337, 183053, 117208, 338214, 
	94505, 281158, 66618, 189540, 75045, 214481, 171074, 98203, 
	101748, 320138, 67747, 1745213, 73441, 73273, 88719, 456669, 
	2421064, 226791, 261522, 1157674, 313136, 740512, 1873895, 88710, 
	2769161, 163762, 105388, 98019, 120139, 105564, 290535, 73753, 
	93412, 55063684, 572434, 569172, 180727, 107617, 677333, 74118, 
	89052, 135058, 106538, 170011, 644697, 69081, 115640, 249360, 
	81828, 201292, 75979, 128431, 79146, 93935, 91342, 76086, 
	3243934, 140437, 93300, 244812, 683042, 135523, 241875, 194281, 
	311569, 80637, 71573, 215255, 83185, 99104, 232904, 361773, 
	80830, 794776, 68235, 372989, 91021, 77390, 202079, 107811, 
	204571, 77603, 110864, 932878, 88416, 9276388, 448046, 539366, 
	134973, 193267, 135275, 93161, 83739, 96514, 164357, 86808, 
	3858911, 108126, 510698, 167858, 102560, 74084, 67003, 176487, 
	102540, 85085, 234916, 197343, 78962, 172794, 255760, 344646, 
	131269, 118639, 72238, 67588, 139077, 93892, 154030, 71963, 
	152132, 167328, 82838, 374910, 73390, 136479, 146948, 291560, 
	90098, 94023, 91443, 1027751, 166388, 144578, 170693, 76418, 
	1521420, 90021, 74150, 192626, 222826, 169160, 102498, 80648, 
	250451, 193398, 83438, 97282, 1555584, 79757, 110368, 265122, 
	205570, 122322, 131213, 348477, 90087, 980587, 3670913, 69688, 
	173794, 67834, 231810, 80223, 350753, 162295, 118636, 69424, 
	152863, 66529, 74934, 144238, 218830, 146912, 274054, 140492, 
	422900, 571900, 115965, 241930, 77080, 151836, 153755, 74887, 
	123108, 133298, 109329, 97981, 98448, 232777, 74496, 132824, 
	157227, 90982, 732430, 94967, 87989, 86635, 1265459, 102680, 
	73253, 136349, 75401, 493278, 70856, 478922, 71105, 77833, 
	68433, 117164, 92887, 69909, 122114, 459061, 90552, 76266, 
	79149, 232689, 163525, 347293, 65905, 346173, 118876, 68391, 
	79745, 66208, 2857597, 240548, 203236, 465327, 87211, 71219, 
	77718, 647809, 104035, 139199, 68810, 202555, 104445, 86299, 
	241671, 139122, 189607, 112202, 126034, 85372, 75601, 92294, 
	167243, 91962, 769984, 283291, 747732, 158014, 1425952, 839189, 
	159843, 135071, 130670, 169227, 971713, 135033, 465933, 157550, 
	69011, 128623, 155926, 187906, 157585, 227923, 154241, 74464, 
	102274, 70154, 74804, 81674, 136271, 106094, 105567, 249244, 
	86323, 71376, 89043, 616739, 85423, 174430, 343351, 154446, 
	478602, 105002, 78050, 127569, 75041, 911496, 527962, 1206452, 
	107555, 87505, 111689, 74959, 174863, 525572, 194088, 68136, 
	439563, 312771, 77018, 87705, 68477, 204027, 68127, 249042, 
	105640, 271456, 91439, 161843, 212517, 103739, 81629, 226218, 
	119938, 70816, 116443, 69428, 156717, 151456, 171930, 103749, 
	76955, 92493, 66128, 137224, 105749, 180834, 144161, 117253, 
	127998, 121324, 593310, 66001, 150553, 144817, 197044, 311411, 
	2448671, 363027, 402717, 99795, 142563, 142724, 98831, 124760, 
	74736, 353612, 81772, 86882, 430099, 128743, 110049, 86086, 
	88971, 119041, 101051, 122802, 1483582, 128469, 93028, 120693, 
	77294, 129593, 107903, 82933, 240413, 182462, 640467, 102342, 
	345061, 90046, 108988, 84555, 114567, 220901, 137519, 106546, 
	103451, 172199, 81266, 128205, 106420, 258593, 543598, 513077, 
	77951, 153771, 389461, 106950, 2783518, 126338, 345033, 9196933, 
	360256, 353904, 172309, 65634, 242668, 1615865, 182269, 113968, 
	404309, 360952, 94737, 145919, 168510, 69784, 95457, 83262, 
	85031, 83209, 81366, 130965, 98070, 80594, 1831543, 106422, 
	97115, 528287, 81006, 727468, 184073, 97332, 99925, 404919, 
	82714, 69899, 568494, 98001, 173499, 1059440, 75906, 15339169, 
	};

#endif /* INPUT_DEVICE_H_ */