GET /api/miri_4900nm_28707nm_vstar_v2058_oph_01/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.900275847827767,
        4.9010780020238425,
        4.901880145826175,
        4.902682279255281,
        4.9034844023316735,
        4.90428651507587,
        4.905088617508385,
        4.905890709649734,
        4.906692791520433,
        4.907494863140997,
        4.908296924531941,
        4.909098975713782,
        4.909901016707034,
        4.910703047532213,
        4.911505068209834,
        4.9123070787604135,
        4.913109079204466,
        4.913911069562507,
        4.914713049855052,
        4.915515020102617,
        4.916316980325718,
        4.917118930544868,
        4.917920870780585,
        4.918722801053383,
        4.9195247213837785,
        4.920326631792286,
        4.921128532299422,
        4.9219304229257,
        4.922732303691638,
        4.92353417461775,
        4.924336035724551,
        4.925137887032558,
        4.925939728562285,
        4.926741560334248,
        4.927543382368962,
        4.928345194686945,
        4.929146997308709,
        4.9299487902547705,
        4.930750573545646,
        4.931552347201849,
        4.932354111243898,
        4.9331558656923065,
        4.933957610567589,
        4.934759345890263,
        4.9355610716808425,
        4.936362787959844,
        4.937164494747782,
        4.937966192065173,
        4.938767879932532,
        4.939569558370374,
        4.940371227399214,
        4.941172887039569,
        4.941974537311954,
        4.942776178236883,
        4.943577809834874,
        4.944379432126441,
        4.945181045132099,
        4.945982648872364,
        4.946784243367751,
        4.947585828638776,
        4.948387404705955,
        4.949188971589803,
        4.949990529310835,
        4.950792077889566,
        4.9515936173465125,
        4.95239514770219,
        4.953196668977114,
        4.953998181191798,
        4.954799684366761,
        4.955601178522515,
        4.956402663679577,
        4.957204139858463,
        4.958005607079688,
        4.958807065363766,
        4.959608514731214,
        4.9604099552025485,
        4.961211386798283,
        4.962012809538933,
        4.962814223445015,
        4.9636156285370445,
        4.9644170248355355,
        4.965218412361005,
        4.966019791133968,
        4.9668211611749395,
        4.967622522504436,
        4.968423875142971,
        4.9692252191110615,
        4.970026554429223,
        4.970827881117971,
        4.971629199197821,
        4.972430508689286,
        4.973231809612885,
        4.974033101989132,
        4.974834385838542,
        4.975635661181631,
        4.976436928038914,
        4.977238186430907,
        4.9780394363781255,
        4.9788406779010845,
        4.979641911020299,
        4.9804431357562855,
        4.9812443521295595,
        4.9820455601606355,
        4.98284675987003,
        4.983647951278257,
        4.984449134405834,
        4.985250309273274,
        4.986051475901094,
        4.986852634309811,
        4.987653784519937,
        4.98845492655199,
        4.9892560604264835,
        4.990057186163935,
        4.990858303784859,
        4.99165941330977,
        4.992460514759186,
        4.993261608153619,
        4.9940626935135874,
        4.994863770859606,
        4.995664840212189,
        4.996465901591853,
        4.997266955019113,
        4.998068000514485,
        4.9988690380984835,
        4.999670067791626,
        5.000471089614424,
        5.0012721035873975,
        5.002073109731059,
        5.002874108065925,
        5.003675098612511,
        5.004476081391332,
        5.005277056422904,
        5.006078023727742,
        5.006878983326362,
        5.0076799352392785,
        5.008480879487008,
        5.009281816090065,
        5.010082745068966,
        5.010883666444226,
        5.011684580236359,
        5.012485486465883,
        5.013286385153313,
        5.014087276319162,
        5.014888159983949,
        5.015689036168187,
        5.016489904892391,
        5.017290766177078,
        5.018091620042763,
        5.018892466509962,
        5.01969330559919,
        5.020494137330963,
        5.021294961725794,
        5.022095778804202,
        5.0228965885867,
        5.023697391093803,
        5.02449818634603,
        5.025298974363892,
        5.026099755167908,
        5.026900528778591,
        5.027701295216458,
        5.028502054502025,
        5.029302806655805,
        5.030103551698315,
        5.030904289650071,
        5.031705020531587,
        5.032505744363379,
        5.033306461165963,
        5.034107170959855,
        5.034907873765568,
        5.035708569603621,
        5.036509258494526,
        5.0373099404588,
        5.038110615516959,
        5.038911283689518,
        5.039711944996991,
        5.040512599459896,
        5.041313247098747,
        5.042113887934059,
        5.042914521986349,
        5.043715149276132,
        5.0445157698239225,
        5.045316383650237,
        5.046116990775589,
        5.046917591220496,
        5.047718185005474,
        5.048518772151036,
        5.049319352677699,
        5.050119926605979,
        5.05092049395639,
        5.051721054749448,
        5.0525216090056695,
        5.053322156745568,
        5.054122697989661,
        5.054923232758463,
        5.055723761072489,
        5.056524282952255,
        5.057324798418276,
        5.058125307491069,
        5.0589258101911465,
        5.0597263065390266,
        5.060526796555224,
        5.061327280260254,
        5.062127757674632,
        5.062928228818873,
        5.063728693713494,
        5.064529152379008,
        5.0653296048359335,
        5.066130051104784,
        5.066930491206074,
        5.067730925160322,
        5.068531352988041,
        5.069331774709747,
        5.070132190345956,
        5.070932599917183,
        5.071733003443943,
        5.072533400946752,
        5.073333792446126,
        5.074134177962581,
        5.074934557516629,
        5.07573493112879,
        5.076535298819576,
        5.077335660609504,
        5.078136016519089,
        5.078936366568847,
        5.079736710779294,
        5.0805370491709425,
        5.081337381764311,
        5.082137708579915,
        5.082938029638268,
        5.083738344959886,
        5.084538654565286,
        5.085338958474981,
        5.0861392567094885,
        5.0869395492893235,
        5.087739836235,
        5.088540117567035,
        5.089340393305944,
        5.090140663472243,
        5.090940928086445,
        5.091741187169068,
        5.092541440740625,
        5.093341688821634,
        5.09414193143261,
        5.0949421685940655,
        5.09574240032652,
        5.0965426266504865,
        5.097342847586481,
        5.09814306315502,
        5.098943273376618,
        5.099743478271789,
        5.100543677861051,
        5.101343872164919,
        5.102144061203907,
        5.102944244998532,
        5.103744423569308,
        5.104544596936751,
        5.105344765121378,
        5.106144928143702,
        5.106945086024241,
        5.107745238783507,
        5.108545386442019,
        5.109345529020291,
        5.110145666538838,
        5.110945799018176,
        5.11174592647882,
        5.112546048941287,
        5.113346166426089,
        5.114146278953745,
        5.114946386544769,
        5.115746489219677,
        5.116546586998985,
        5.117346679903205,
        5.118146767952858,
        5.118946851168454,
        5.119746929570512,
        5.120547003179547,
        5.121347072016072,
        5.1221471361006055,
        5.122947195453661,
        5.1237472500957555,
        5.1245473000474036,
        5.1253473453291205,
        5.1261473859614215,
        5.1269474219648234,
        5.127747453359841,
        5.128547480166988,
        5.129347502406782,
        5.130147520099738,
        5.130947533266371,
        5.131747541927197,
        5.132547546102732,
        5.13334754581349,
        5.134147541079987,
        5.134947531922738,
        5.13574751836226,
        5.136547500419067,
        5.137347478113675,
        5.138147451466599,
        5.138947420498356,
        5.139747385229459,
        5.140547345680425,
        5.14134730187177,
        5.1421472538240085,
        5.142947201557655,
        5.1437471450932275,
        5.144547084451239,
        5.145347019652206,
        5.146146950716645,
        5.146946877665069,
        5.1477468005179965,
        5.148546719295941,
        5.149346634019417,
        5.150146544708942,
        5.15094645138503,
        5.151746354068198,
        5.1525462527789605,
        5.153346147537833,
        5.15414603836533,
        5.154945925281969,
        5.155745808308265,
        5.156545687464732,
        5.157345562771886,
        5.158145434250244,
        5.158945301920319,
        5.1597451658026285,
        5.160545025917687,
        5.161344882286009,
        5.162144734928113,
        5.162944583864511,
        5.16374442911572,
        5.164544270702256,
        5.165344108644634,
        5.166143942963369,
        5.166943773678977,
        5.167743600811973,
        5.168543424382873,
        5.169343244412192,
        5.170143060920446,
        5.1709428739281496,
        5.171742683455819,
        5.17254248952397,
        5.173342292153116,
        5.174142091363775,
        5.174941887176461,
        5.175741679611689,
        5.176541468689977,
        5.177341254431838,
        5.178141036857787,
        5.178940815988342,
        5.179740591844016,
        5.180540364445327,
        5.181340133812788,
        5.182139899966916,
        5.182939662928225,
        5.183739422717233,
        5.184539179354452,
        5.1853389328604,
        5.186138683255592,
        5.186938430560543,
        5.187738174795769,
        5.188537915981785,
        5.189337654139106,
        5.190137389288249,
        5.1909371214497275,
        5.191736850644058,
        5.192536576891756,
        5.193336300213337,
        5.194136020629316,
        5.1949357381602095,
        5.195735452826532,
        5.1965351646487985,
        5.1973348736475256,
        5.198134579843228,
        5.198934283256422,
        5.199733983907622,
        5.200533681817344,
        5.201333377006104,
        5.202133069494416,
        5.202932759302797,
        5.203732446451761,
        5.204532130961825,
        5.205331812853503,
        5.206131492147311,
        5.206931168863766,
        5.207730843023381,
        5.2085305146466725,
        5.2093301837541555,
        5.210129850366347,
        5.210929514503761,
        5.211729176186913,
        5.212528835436319,
        5.213328492272494,
        5.214128146715954,
        5.214927798787214,
        5.215727448506789,
        5.216527095895196,
        5.21732674097295,
        5.2181263837605645,
        5.218926024278557,
        5.219725662547443,
        5.220525298587736,
        5.221324932419954,
        5.222124564064611,
        5.222924193542222,
        5.223723820873304,
        5.224523446078371,
        5.22532306917794,
        5.226122690192525,
        5.226922309142642,
        5.227721926048806,
        5.228521540931534,
        5.229321153811339,
        5.230120764708738,
        5.230920373644247,
        5.231719980638381,
        5.232519585711654,
        5.233319188884583,
        5.234118790177684,
        5.2349183896114715,
        5.23571798720646,
        5.236517582983167,
        5.237317176962105,
        5.238116769163793,
        5.238916359608744,
        5.239715948317476,
        5.240515535310501,
        5.241315120608336,
        5.242114704231498,
        5.2429142862005,
        5.243713866535859,
        5.24451344525809,
        5.245313022387709,
        5.24611259794523,
        5.24691217195117,
        5.247711744426043,
        5.248511315390366,
        5.249310884864654,
        5.250110452869421,
        5.250910019425185,
        5.25170958455246,
        5.252509148271761,
        5.253308710603605,
        5.254108271568505,
        5.254907831186978,
        5.25570738947954,
        5.256506946466706,
        5.2573065021689915,
        5.258106056606912,
        5.258905609800982,
        5.259705161771718,
        5.2605047125396345,
        5.261304262125249,
        5.262103810549074,
        5.262903357831627,
        5.263702903993423,
        5.264502449054977,
        5.265301993036806,
        5.266101535959423,
        5.266901077843347,
        5.267700618709089,
        5.268500158577168,
        5.269299697468097,
        5.270099235402393,
        5.270898772400571,
        5.271698308483147,
        5.272497843670636,
        5.273297377983552,
        5.274096911442414,
        5.274896444067734,
        5.275695975880029,
        5.276495506899814,
        5.2772950371476055,
        5.278094566643918,
        5.2788940954092665,
        5.279693623464167,
        5.280493150829136,
        5.281292677524688,
        5.282092203571337,
        5.282891728989601,
        5.2836912537999945,
        5.284490778023032,
        5.285290301679231,
        5.286089824789104,
        5.28688934737317,
        5.287688869451942,
        5.288488391045935,
        5.289287912175666,
        5.29008743286165,
        5.290886953124404,
        5.29168647298444,
        5.292485992462277,
        5.293285511578428,
        5.294085030353409,
        5.294884548807736,
        5.295684066961924,
        5.296483584836489,
        5.297283102451945,
        5.29808261982881,
        5.298882136987597,
        5.299681653948823,
        5.300481170733002,
        5.301280687360651,
        5.302080203852286,
        5.30287972022842,
        5.30367923650957,
        5.304478752716252,
        5.305278268868979,
        5.306077784988269,
        5.306877301094637,
        5.307676817208598,
        5.308476333350667,
        5.3092758495413594,
        5.310075365801192,
        5.31087488215068,
        5.311674398610338,
        5.31247391520068,
        5.313273431942225,
        5.314072948855486,
        5.31487246596098,
        5.315671983279221,
        5.316471500830724,
        5.317271018636007,
        5.318070536715584,
        5.3188700550899695,
        5.31966957377968,
        5.320469092805231,
        5.321268612187138,
        5.322068131945916,
        5.322867652102081,
        5.323667172676148,
        5.324466693688633,
        5.32526621516005,
        5.326065737110916,
        5.326865259561746,
        5.327664782533056,
        5.32846430604536,
        5.329263830119174,
        5.330063354775016,
        5.330862880033397,
        5.331662405914836,
        5.332461932439846,
        5.333261459628944,
        5.334060987502646,
        5.334860516081465,
        5.335660045385919,
        5.336459575436522,
        5.33725910625379,
        5.338058637858238,
        5.338858170270383,
        5.339657703510738,
        5.3404572375998205,
        5.341256772558145,
        5.342056308406227,
        5.342855845164582,
        5.343655382853726,
        5.344454921494173,
        5.345254461106441,
        5.3460540017110425,
        5.3468535433284945,
        5.347653085979314,
        5.3484526296840125,
        5.349252174463109,
        5.350051720337117,
        5.350851267326553,
        5.351650815451932,
        5.35245036473377,
        5.353249915192581,
        5.354049466848883,
        5.354849019723189,
        5.355648573836015,
        5.356448129207878,
        5.357247685859291,
        5.358047243810772,
        5.358846803082834,
        5.359646363695994,
        5.360445925670768,
        5.361245489027669,
        5.362045053787215,
        5.362844619969921,
        5.363644187596301,
        5.364443756686871,
        5.365243327262148,
        5.366042899342646,
        5.36684247294888,
        5.367642048101367,
        5.368441624820622,
        5.369241203127159,
        5.370040783041496,
        5.370840364584145,
        5.371639947775625,
        5.3724395326364505,
        5.373239119187136,
        5.374038707448197,
        5.3748382974401485,
        5.3756378891835075,
        5.376437482698789,
        5.377237078006508,
        5.37803667512718,
        5.37883627408132,
        5.379635874889445,
        5.380435477572069,
        5.381235082149709,
        5.382034688642878,
        5.382834297072094,
        5.38363390745787,
        5.384433519820725,
        5.3852331341811706,
        5.386032750559724,
        5.386832368976901,
        5.387631989453215,
        5.388431612009185,
        5.389231236665324,
        5.390030863442148,
        5.390830492360172,
        5.391630123439913,
        5.392429756701884,
        5.393229392166602,
        5.394029029854583,
        5.3948286697863415,
        5.395628311982393,
        5.396427956463254,
        5.397227603249437,
        5.398027252361461,
        5.39882690381984,
        5.39962655764509,
        5.400426213857725,
        5.4012258724782605,
        5.4020255335272145,
        5.402825197025099,
        5.403624862992433,
        5.404424531449729,
        5.405224202417505,
        5.406023875916274,
        5.406823551966553,
        5.4076232305888565,
        5.408422911803701,
        5.409222595631601,
        5.410022282093072,
        5.41082197120863,
        5.411621662998791,
        5.41242135748407,
        5.413221054684982,
        5.414020754622042,
        5.414820457315766,
        5.41562016278667,
        5.416419871055269,
        5.417219582142079,
        5.418019296067614,
        5.41881901285239,
        5.419618732516923,
        5.42041845508173,
        5.421218180567323,
        5.422017908994221,
        5.422817640382936,
        5.423617374753986,
        5.424417112127885,
        5.425216852525149,
        5.426016595966294,
        5.4268163424718345,
        5.427616092062287,
        5.428415844758166,
        5.429215600579987,
        5.430015359548266,
        5.430815121683518,
        5.43161488700626,
        5.432414655537004,
        5.433214427296269,
        5.434014202304569,
        5.434813980582419,
        5.435613762150336,
        5.436413547028833,
        5.437213335238428,
        5.4380131267996346,
        5.438812921732969,
        5.439612720058947,
        5.440412521798083,
        5.441212326970894,
        5.442012135597894,
        5.4428119476996,
        5.443611763296526,
        5.444411582409188,
        5.445211405058101,
        5.446011231263781,
        5.446811061046744,
        5.447610894427504,
        5.448410731426578,
        5.44921057206448,
        5.450010416361726,
        5.450810264338832,
        5.4516101160163135,
        5.452409971414686,
        5.453209830554464,
        5.454009693456162,
        5.454809560140299,
        5.455609430627387,
        5.456409304937943,
        5.457209183092482,
        5.458009065111521,
        5.458808951015573,
        5.4596088408251555,
        5.460408734560782,
        5.46120863224297,
        5.462008533892234,
        5.4628084395290895,
        5.463608349174051,
        5.464408262847636,
        5.465208180570357,
        5.466008102362734,
        5.466808028245278,
        5.467607958238506,
        5.468407892362935,
        5.469207830639078,
        5.470007773087452,
        5.470807719728572,
        5.471607670582953,
        5.472407625671111,
        5.4732075850135615,
        5.47400754863082,
        5.474807516543402,
        5.475607488771822,
        5.476407465336598,
        5.477207446258242,
        5.4780074315572715,
        5.478807421254201,
        5.479607415369547,
        5.4804074139238255,
        5.48120741693755,
        5.482007424431236,
        5.482807436425402,
        5.48360745294056,
        5.484407473997226,
        5.4852074996159175,
        5.486007529817149,
        5.486807564621435,
        5.487607604049291,
        5.488407648121234,
        5.489207696857777,
        5.490007750279439,
        5.490807808406732,
        5.491607871260174,
        5.4924079388602784,
        5.493208011227562,
        5.4940080883825395,
        5.494808170345727,
        5.49560825713764,
        5.496408348778792,
        5.4972084452897025,
        5.498008546690882,
        5.49880865300285,
        5.499608764246121,
        5.500408880441208,
        5.50120900160863,
        5.5020091277689,
        5.502809258942534,
        5.503609395150049,
        5.504409536411957,
        5.505209682748777,
        5.5060098341810235,
        5.506809990729211,
        5.507610152413855,
        5.508410319255472,
        5.509210491274578,
        5.510010668491685,
        5.510810850927313,
        5.511611038601973,
        5.512411231536185,
        5.513211429750461,
        5.5140116332653175,
        5.51481184210127,
        5.515612056278836,
        5.516412275818527,
        5.517212500740861,
        5.518012731066353,
        5.518812966815518,
        5.519613208008872,
        5.52041345466693,
        5.521213706810208,
        5.522013964459221,
        5.522814227634485,
        5.523614496356515,
        5.524414770645826,
        5.525215050522935,
        5.526015336008356,
        5.526815627122605,
        5.527615923886198,
        5.528416226319649,
        5.529216534443474,
        5.53001684827819,
        5.53081716784431,
        5.531617493162352,
        5.532417824252828,
        5.533218161136258,
        5.534018503833153,
        5.534818852364031,
        5.535619206749407,
        5.536419567009798,
        5.537219933165716,
        5.538020305237678,
        5.538820683246202,
        5.539621067211799,
        5.540421457154988,
        5.541221853096282,
        5.542022255056199,
        5.542822663055252,
        5.543623077113957,
        5.544423497252831,
        5.545223923492388,
        5.546024355853145,
        5.546824794355615,
        5.547625239020315,
        5.54842568986776,
        5.549226146918466,
        5.550026610192949,
        5.5508270797117225,
        5.551627555495303,
        5.552428037564207,
        5.553228525938948,
        5.554029020640043,
        5.554829521688006,
        5.555630029103354,
        5.556430542906602,
        5.557231063118265,
        5.558031589758859,
        5.558832122848899,
        5.559632662408901,
        5.560433208459379,
        5.56123376102085,
        5.562034320113829,
        5.562834885758832,
        5.563635457976373,
        5.564436036786969,
        5.565236622211135,
        5.566037214269386,
        5.566837812982238,
        5.567638418370205,
        5.5684390304538045,
        5.569239649253551,
        5.57004027478996,
        5.570840907083547,
        5.571641546154828,
        5.572442192024317,
        5.573242844712531,
        5.5740435042399845,
        5.574844170627193,
        5.575644843894673,
        5.5764455240629385,
        5.577246211152506,
        5.578046905183891,
        5.578847606177607,
        5.5796483141541735,
        5.580449029134102,
        5.581249751137909,
        5.582050480186111,
        5.582851216299223,
        5.58365195949776,
        5.584452709802237,
        5.585253467233171,
        5.586054231811078,
        5.58685500355647,
        5.587655782489866,
        5.588456568631779,
        5.589257362002726,
        5.5900581626232215,
        5.590858970513782,
        5.5916597856949215,
        5.592460608187157,
        5.5932614380110035,
        5.5940622751869755,
        5.59486311973559,
        5.595663971677361,
        5.5964648310328045,
        5.597265697822436,
        5.598066572066771,
        5.598867453786326,
        5.599668343001614,
        5.600469239733153,
        5.6012701440014565,
        5.602071055827041,
        5.602871975230422,
        5.603672902232114,
        5.604473836852635,
        5.605274779112497,
        5.6060757290322165,
        5.606876686632311,
        5.607677651933294,
        5.608478624955681,
        5.609279605719988,
        5.610080594246731,
        5.610881590556423,
        5.611682594669583,
        5.612483606606725,
        5.613284626388363,
        5.614085654035014,
        5.614886689567193,
        5.615687733005416,
        5.616488784370197,
        5.6172898436820535,
        5.618090910961499,
        5.61889198622905,
        5.619693069505223,
        5.62049416081053,
        5.621295260165491,
        5.6220963675906175,
        5.622897483106428,
        5.623698606733436,
        5.624499738492157,
        5.625300878403108,
        5.6261020264868025,
        5.6269031827637574,
        5.627704347254487,
        5.628505519979509,
        5.629306700959336,
        5.630107890214485,
        5.630909087765471,
        5.63171029363281,
        5.632511507837017,
        5.6333127303986075,
        5.634113961338096,
        5.634915200676001,
        5.635716448432834,
        5.636517704629114,
        5.637318969285354,
        5.638120242422071,
        5.6389215240597785,
        5.639722814218994,
        5.640524112920232,
        5.641325420184008,
        5.642126736030838,
        5.642928060481236,
        5.64372939355572,
        5.644530735274803,
        5.6453320856590015,
        5.646133444728831,
        5.6469348125048064,
        5.6477361890074445,
        5.648537574257259,
        5.649338968274766,
        5.650140371080481,
        5.650941782694921,
        5.651743203138599,
        5.652544632432031,
        5.653346070595735,
        5.654147517650221,
        5.654948973616011,
        5.655750438513616,
        5.656551912363553,
        5.6573533951863375,
        5.658154887002484,
        5.658956387832509,
        5.659757897696927,
        5.660559416616255,
        5.661360944611007,
        5.662162481701699,
        5.662964027908847,
        5.663765583252965,
        5.66456714775457,
        5.665368721434176,
        5.666170304312301,
        5.666971896409457,
        5.667773497746162,
        5.66857510834293,
        5.669376728220277,
        5.6701783573987194,
        5.6709799958987706,
        5.671781643740948,
        5.6725833009457665,
        5.6733849675337416,
        5.674186643525387,
        5.674988328941221,
        5.675790023801757,
        5.676591728127511,
        5.6773934419389995,
        5.678195165256737,
        5.678996898101238,
        5.67979864049302,
        5.680600392452597,
        5.6814021540004855,
        5.6822039251572,
        5.683005705943256,
        5.68380749637917,
        5.684609296485456,
        5.685411106282631,
        5.686212925791208,
        5.687014755031706,
        5.687816594024637,
        5.688618442790519,
        5.689420301349866,
        5.690222169723194,
        5.69102404793102,
        5.6918259359938554,
        5.692627833932219,
        5.693429741766625,
        5.69423165951759,
        5.695033587205629,
        5.695835524851255,
        5.696637472474988,
        5.697439430097339,
        5.698241397738826,
        5.699043375419965,
        5.69984536316127,
        5.700647360983257,
        5.70144936890644,
        5.702251386951337,
        5.703053415138462,
        5.70385545348833,
        5.704657502021458,
        5.70545956075836,
        5.7062616297195525,
        5.70706370892555,
        5.7078657983968695,
        5.708667898154024,
        5.709470008217531,
        5.7102721286079055,
        5.711074259345662,
        5.7118764004513185,
        5.712678551945387,
        5.713480713848385,
        5.714282886180827,
        5.71508506896323,
        5.715887262216109,
        5.716689465959978,
        5.717491680215353,
        5.718293905002751,
        5.719096140342686,
        5.719898386255673,
        5.72070064276223,
        5.72150290988287,
        5.722305187638108,
        5.723107476048462,
        5.7239097751344445,
        5.7247120849165745,
        5.725514405415364,
        5.72631673665133,
        5.727119078644988,
        5.727921431416854,
        5.7287237949874426,
        5.729526169377269,
        5.730328554606849,
        5.7311309506966985,
        5.731933357667334,
        5.732735775539267,
        5.733538204333017,
        5.734340644069098,
        5.735143094768025,
        5.735945556450315,
        5.736748029136481,
        5.73755051284704,
        5.738353007602508,
        5.739155513423399,
        5.7399580303302296,
        5.740347938754851,
        5.741147166797978,
        5.741946399187305,
        5.742745635915453,
        5.74354487697504,
        5.744344122358689,
        5.745143372059021,
        5.745942626068653,
        5.746741884380208,
        5.747541146986306,
        5.748340413879568,
        5.749139685052612,
        5.749938960498062,
        5.750738240208536,
        5.751537524176655,
        5.75233681239504,
        5.753136104856311,
        5.753935401553088,
        5.754734702477992,
        5.755534007623643,
        5.756333316982662,
        5.7571326305476695,
        5.757931948311286,
        5.758731270266131,
        5.759530596404826,
        5.760329926719991,
        5.761129261204246,
        5.761928599850212,
        5.76272794265051,
        5.763527289597759,
        5.764326640684581,
        5.765125995903595,
        5.765925355247423,
        5.766724718708684,
        5.767524086279999,
        5.768323457953988,
        5.769122833723273,
        5.769922213580473,
        5.770721597518208,
        5.7715209855291,
        5.7723203776057685,
        5.773119773740834,
        5.7739191739269184,
        5.77471857815664,
        5.77551798642262,
        5.776317398717478,
        5.777116815033837,
        5.777916235364315,
        5.7787156597015334,
        5.779515088038112,
        5.780314520366673,
        5.781113956679834,
        5.781913396970219,
        5.782712841230445,
        5.783512289453134,
        5.7843117416309076,
        5.785111197756384,
        5.7859106578221855,
        5.786710121820931,
        5.787509589745242,
        5.788309061587738,
        5.789108537341042,
        5.789908016997771,
        5.790707500550546,
        5.7915069879919905,
        5.792306479314721,
        5.793105974511361,
        5.79390547357453,
        5.794704976496847,
        5.795504483270935,
        5.7963039938894125,
        5.7971035083449,
        5.79790302663002,
        5.79870254873739,
        5.799502074659632,
        5.800301604389366,
        5.801101137919214,
        5.801900675241795,
        5.802700216349729,
        5.803499761235638,
        5.804299309892141,
        5.8050988623118585,
        5.805898418487412,
        5.806697978411421,
        5.807497542076506,
        5.808297109475289,
        5.809096680600389,
        5.809896255444426,
        5.810695834000021,
        5.811495416259795,
        5.812295002216368,
        5.81309459186236,
        5.813894185190393,
        5.8146937821930855,
        5.8154933828630595,
        5.816292987192934,
        5.817092595175331,
        5.81789220680287,
        5.81869182206817,
        5.819491440963855,
        5.820291063482543,
        5.821090689616854,
        5.82189031935941,
        5.822689952702831,
        5.8234895896397365,
        5.824289230162749,
        5.825088874264487,
        5.825888521937571,
        5.826688173174623,
        5.827487827968262,
        5.828287486311109,
        5.829087148195784,
        5.829886813614909,
        5.830686482561102,
        5.831486155026985,
        5.832285831005178,
        5.833085510488303,
        5.833885193468977,
        5.834684879939824,
        5.835484569893463,
        5.836284263322514,
        5.837083960219598,
        5.837883660577335,
        5.838683364388346,
        5.83948307164525,
        5.84028278234067,
        5.841082496467225,
        5.841882214017534,
        5.8426819349842205,
        5.843481659359903,
        5.844281387137203,
        5.84508111830874,
        5.845880852867134,
        5.846680590805007,
        5.847480332114978,
        5.848280076789669,
        5.849079824821699,
        5.849879576203689,
        5.850679330928259,
        5.851479088988031,
        5.8522788503756225,
        5.853078615083657,
        5.853878383104754,
        5.854678154431533,
        5.855477929056615,
        5.856277706972621,
        5.857077488172171,
        5.857877272647885,
        5.858677060392385,
        5.859476851398289,
        5.860276645658219,
        5.861076443164796,
        5.861876243910639,
        5.862676047888369,
        5.863475855090607,
        5.8642756655099735,
        5.8650754791390876,
        5.865875295970571,
        5.866675115997044,
        5.867474939211125,
        5.868274765605438,
        5.869074595172602,
        5.869874427905236,
        5.870674263795962,
        5.8714741028374,
        5.872273945022171,
        5.873073790342895,
        5.873873638792191,
        5.874673490362682,
        5.875473345046987,
        5.8762732028377265,
        5.877073063727521,
        5.877872927708991,
        5.878672794774758,
        5.879472664917441,
        5.8802725381296606,
        5.881072414404038,
        5.881872293733193,
        5.882672176109746,
        5.883472061526318,
        5.884271949975529,
        5.885071841449999,
        5.8858717359423505,
        5.886671633445202,
        5.8874715339511745,
        5.888271437452888,
        5.889071343942963,
        5.889871253414021,
        5.890671165858682,
        5.891471081269565,
        5.892270999639292,
        5.893070920960485,
        5.89387084522576,
        5.894670772427741,
        5.895470702559047,
        5.896270635612299,
        5.897070571580118,
        5.897870510455123,
        5.898670452229935,
        5.899470396897176,
        5.9002703444494635,
        5.90107029487942,
        5.901870248179666,
        5.9026702043428205,
        5.903470163361505,
        5.904270125228341,
        5.905070089935947,
        5.905870057476944,
        5.906670027843953,
        5.907470001029593,
        5.908269977026487,
        5.9090699558272535,
        5.909869937424514,
        5.910669921810888,
        5.9114699089789955,
        5.912269898921458,
        5.913069891630896,
        5.9138698870999304,
        5.91466988532118,
        5.9154698862872666,
        5.91626988999081,
        5.917069896424431,
        5.9178699055807495,
        5.918669917452387,
        5.919469932031963,
        5.9202699493120985,
        5.921069969285413,
        5.921869991944528,
        5.922670017282064,
        5.923470045290641,
        5.924270075962879,
        5.925070109291398,
        5.925870145268821,
        5.926670183887765,
        5.927470225140854,
        5.9282702690207065,
        5.929070315519942,
        5.929870364631183,
        5.930670416347049,
        5.931470470660161,
        5.932270527563138,
        5.933070587048602,
        5.9338706491091715,
        5.93467071373747,
        5.935470780926115,
        5.936270850667729,
        5.9370709229549306,
        5.937870997780342,
        5.9386710751365825,
        5.939471155016274,
        5.940271237412034,
        5.941071322316486,
        5.94187140972225,
        5.9426714996219445,
        5.943471592008192,
        5.944271686873611,
        5.945071784210825,
        5.94587188401245,
        5.946671986271111,
        5.947472090979425,
        5.948272198130015,
        5.9490723077155,
        5.9498724197285,
        5.9506725341616376,
        5.95147265100753,
        5.952272770258801,
        5.953072891908069,
        5.953873015947955,
        5.954673142371079,
        5.955473271170062,
        5.956273402337525,
        5.957073535866087,
        5.95787367174837,
        5.958673809976993,
        5.959473950544577,
        5.9602740934437435,
        5.961074238667111,
        5.961874386207301,
        5.962674536056934,
        5.96347468820863,
        5.96427484265501,
        5.965074999388695,
        5.965875158402304,
        5.966675319688458,
        5.967475483239778,
        5.968275649048884,
        5.969075817108396,
        5.969875987410935,
        5.970676159949122,
        5.971476334715575,
        5.972276511702918,
        5.973076690903769,
        5.97387687231075,
        5.974677055916479,
        5.975477241713579,
        5.97627742969467,
        5.977077619852371,
        5.977877812179303,
        5.978678006668088,
        5.979478203311344,
        5.9802784021016935,
        5.981078603031755,
        5.9818788060941515,
        5.982679011281502,
        5.983479218586426,
        5.984279428001546,
        5.985079639519481,
        5.985879853132851,
        5.9866800688342785,
        5.987480286616382,
        5.988280506471782,
        5.989080728393101,
        5.989880952372957,
        5.990681178403972,
        5.991481406478766,
        5.992281636589959,
        5.993081868730172,
        5.993882102892026,
        5.99468233906814,
        5.995482577251135,
        5.996282817433632,
        5.99708305960825,
        5.997883303767612,
        5.998683549904336,
        5.999483798011044,
        6.000284048080355,
        6.001084300104891,
        6.001884554077272,
        6.002684809990118,
        6.003485067836049,
        6.004285327607686,
        6.005085589297651,
        6.005885852898562,
        6.0066861184030405,
        6.007486385803706,
        6.008286655093181,
        6.009086926264084,
        6.009887199309037,
        6.010687474220659,
        6.011487750991571,
        6.0122880296143935,
        6.013088310081748,
        6.013888592386253,
        6.0146888765205295,
        6.015489162477199,
        6.016289450248881,
        6.017089739828196,
        6.017890031207766,
        6.018690324380209,
        6.019490619338146,
        6.020290916074199,
        6.021091214580988,
        6.021891514851132,
        6.022691816877252,
        6.0234921206519685,
        6.024292426167904,
        6.025092733417675,
        6.025893042393905,
        6.026693353089214,
        6.0274936654962215,
        6.0282939796075485,
        6.029094295415816,
        6.029894612913643,
        6.030694932093652,
        6.031495252948461,
        6.032295575470692,
        6.033095899652966,
        6.033896225487902,
        6.0346965529681205,
        6.0354968820862425,
        6.036297212834889,
        6.03709754520668,
        6.037897879194235,
        6.038698214790176,
        6.039498551987123,
        6.040298890777695,
        6.041099231154514,
        6.0418995731102,
        6.042699916637374,
        6.0435002617286555,
        6.044300608376666,
        6.045100956574024,
        6.045901306313352,
        6.0467016575872705,
        6.047502010388398,
        6.0483023647093574,
        6.049102720542766,
        6.049903077881248,
        6.050703436717421,
        6.051503797043907,
        6.052304158853325,
        6.053104522138296,
        6.053904886891441,
        6.054705253105381,
        6.055505620772736,
        6.056305989886124,
        6.057106360438169,
        6.057906732421491,
        6.058707105828707,
        6.059507480652441,
        6.060307856885313,
        6.061108234519941,
        6.061908613548948,
        6.0627089939649546,
        6.06350937576058,
        6.064309758928444,
        6.065110143461168,
        6.065910529351373,
        6.0667109165916795,
        6.067511305174706,
        6.068311695093075,
        6.0691120863394055,
        6.0699124789063195,
        6.070712872786436,
        6.071513267972376,
        6.072313664456761,
        6.07311406223221,
        6.073914461291343,
        6.0747148616267825,
        6.075515263231147,
        6.076315666097058,
        6.077116070217135,
        6.077916475584001,
        6.078716882190273,
        6.079517290028573,
        6.0803176990915215,
        6.081118109371739,
        6.081918520861847,
        6.082718933554463,
        6.08351934744221,
        6.084319762517708,
        6.085120178773577,
        6.085920596202437,
        6.08672101479691,
        6.087521434549615,
        6.088321855453173,
        6.089122277500204,
        6.089922700683329,
        6.090723124995168,
        6.091523550428342,
        6.092323976975472,
        6.093124404629176,
        6.093924833382077,
        6.094725263226794,
        6.095525694155948,
        6.096326126162159,
        6.097126559238049,
        6.097926993376237,
        6.098727428569342,
        6.099527864809988,
        6.100328302090793,
        6.101128740404378,
        6.1019291797433635,
        6.10272962010037,
        6.103530061468018,
        6.104330503838928,
        6.10513094720572,
        6.105931391561015,
        6.106731836897433,
        6.107532283207594,
        6.10833273048412,
        6.10913317871963,
        6.109933627906745,
        6.110734078038086,
        6.111534529106272,
        6.112334981103925,
        6.113135434023665,
        6.113935887858111,
        6.114736342599885,
        6.115536798241608,
        6.116337254775899,
        6.117137712195378,
        6.117938170492668,
        6.1187386296603865,
        6.1195390896911555,
        6.120339550577596,
        6.121140012312328,
        6.12194047488797,
        6.122740938297145,
        6.1235414025324735,
        6.124341867586574,
        6.125142333452068,
        6.125942800121576,
        6.1267432675877185,
        6.1275437358431155,
        6.128344204880388,
        6.129144674692156,
        6.12994514527104,
        6.13074561660966,
        6.131546088700638,
        6.132346561536592,
        6.133147035110146,
        6.133947509413917,
        6.134747984440527,
        6.135548460182596,
        6.1363489366327455,
        6.137149413783595,
        6.137949891627764,
        6.138750370157875,
        6.139550849366547,
        6.140351329246401,
        6.141151809790058,
        6.141952290990137,
        6.142752772839259,
        6.143553255330046,
        6.1443537384551155,
        6.145154222207091,
        6.14595470657859,
        6.146755191562236,
        6.147555677150647,
        6.1483561633364445,
        6.149156650112249,
        6.149957137470681,
        6.150757625404361,
        6.151558113905908,
        6.1523586029679445,
        6.15315909258309,
        6.153959582743965,
        6.154760073443189,
        6.155560564673384,
        6.15636105642717,
        6.157161548697167,
        6.157962041475996,
        6.158762534756278,
        6.159563028530631,
        6.160363522791678,
        6.161164017532038,
        6.1619645127443325,
        6.1627650084211805,
        6.163565504555204,
        6.164366001139023,
        6.165166498165258,
        6.165966995626528,
        6.166767493515455,
        6.16756799182466,
        6.1683684905467615,
        6.1691689896743815,
        6.16996948920014,
        6.170769989116657,
        6.1715704894165535,
        6.17237099009245,
        6.173171491136967,
        6.173971992542723,
        6.174772494302341,
        6.175572996408441,
        6.176373498853643,
        6.177174001630567,
        6.177974504731834,
        6.1787750081500645,
        6.179575511877878,
        6.180376015907896,
        6.181176520232739,
        6.181977024845027,
        6.182777529737381,
        6.18357803490242,
        6.184378540332767,
        6.185179046021039,
        6.18597955195986,
        6.1867800581418475,
        6.1875805645596245,
        6.188381071205809,
        6.189181578073023,
        6.189982085153886,
        6.19078259244102,
        6.191583099927044,
        6.1923836076045795,
        6.193184115466246,
        6.193984623504663,
        6.194785131712454,
        6.195585640082237,
        6.196386148606633,
        6.197186657278263,
        6.197987166089747,
        6.198787675033705,
        6.199588184102758,
        6.200388693289527,
        6.201189202586631,
        6.201989711986692,
        6.20279022148233,
        6.203590731066163,
        6.204391240730816,
        6.205191750468906,
        6.205992260273055,
        6.206792770135882,
        6.207593280050009,
        6.2083937900080555,
        6.209194300002643,
        6.20999481002639,
        6.210795320071919,
        6.21159583013185,
        6.2123963401988025,
        6.213196850265398,
        6.213997360324256,
        6.214797870367997,
        6.215598380389242,
        6.216398890380612,
        6.217199400334726,
        6.217999910244205,
        6.218800420101671,
        6.219600929899742,
        6.220401439631039,
        6.221201949288184,
        6.222002458863796,
        6.2228029683504955,
        6.2236034777409035,
        6.224403987027641,
        6.225204496203327,
        6.226005005260583,
        6.226805514192028,
        6.227606022990285,
        6.228406531647972,
        6.229207040157711,
        6.230007548512122,
        6.230808056703824,
        6.23160856472544,
        6.232409072569589,
        6.233209580228892,
        6.234010087695968,
        6.23481059496344,
        6.235611102023926,
        6.236411608870048,
        6.237212115494425,
        6.23801262188968,
        6.23881312804843,
        6.239613633963298,
        6.240414139626903,
        6.241214645031867,
        6.242015150170809,
        6.242815655036351,
        6.243616159621111,
        6.244416663917712,
        6.2452171679187725,
        6.246017671616914,
        6.246818175004758,
        6.247618678074922,
        6.248419180820029,
        6.249219683232698,
        6.250020185305551,
        6.250820687031206,
        6.251621188402286,
        6.25242168941141,
        6.253222190051199,
        6.254022690314273,
        6.254823190193253,
        6.2556236896807595,
        6.256424188769412,
        6.257224687451831,
        6.258025185720639,
        6.258825683568453,
        6.2596261809878975,
        6.26042667797159,
        6.261227174512151,
        6.262027670602202,
        6.262828166234364,
        6.263628661401255,
        6.264429156095499,
        6.265229650309713,
        6.266030144036519,
        6.266830637268539,
        6.2676311299983904,
        6.268431622218696,
        6.269232113922074,
        6.270032605101147,
        6.270833095748534,
        6.271633585856857,
        6.272434075418735,
        6.273234564426789,
        6.274035052873639,
        6.274835540751907,
        6.275636028054212,
        6.276436514773174,
        6.2772370009014145,
        6.278037486431554,
        6.278837971356212,
        6.279638455668009,
        6.280438939359567,
        6.281239422423505,
        6.282039904852445,
        6.282840386639005,
        6.283640867775807,
        6.284441348255472,
        6.285241828070618,
        6.286042307213869,
        6.286842785677842,
        6.287643263455159,
        6.288443740538441,
        6.289244216920308,
        6.290044692593381,
        6.290845167550279,
        6.291645641783623,
        6.292446115286034,
        6.293246588050131,
        6.294047060068538,
        6.294847531333871,
        6.295648001838753,
        6.296448471575804,
        6.297248940537644,
        6.298049408716894,
        6.298849876106174,
        6.299650342698105,
        6.300450808485307,
        6.301251273460401,
        6.302051737616006,
        6.302852200944745,
        6.303652663439236,
        6.3044531250921,
        6.305253585895958,
        6.306054045843431,
        6.306854504927138,
        6.3076549631397,
        6.308455420473738,
        6.309255876921871,
        6.310056332476722,
        6.310856787130909,
        6.311657240877054,
        6.312457693707776,
        6.313258145615697,
        6.314058596593436,
        6.314859046633615,
        6.315659495728853,
        6.316459943871771,
        6.31726039105499,
        6.31806083727113,
        6.3188612825128105,
        6.319661726772654,
        6.320462170043279,
        6.321262612317307,
        6.322063053587358,
        6.322863493846052,
        6.323663933086011,
        6.324464371299854,
        6.325264808480203,
        6.326065244619676,
        6.326865679710895,
        6.327666113746481,
        6.328466546719054,
        6.329266978621233,
        6.330067409445641,
        6.330867839184896,
        6.33166826783162,
        6.332468695378433,
        6.333269121817954,
        6.334069547142807,
        6.33486997134561,
        6.335670394418982,
        6.336470816355547,
        6.337271237147923,
        6.338071656788731,
        6.338872075270592,
        6.339672492586125,
        6.3404729087279526,
        6.341273323688693,
        6.342073737460968,
        6.342874150037399,
        6.343674561410604,
        6.344474971573205,
        6.345275380517822,
        6.346075788237075,
        6.346876194723586,
        6.347676599969974,
        6.34847700396886,
        6.349277406712863,
        6.350077808194607,
        6.350878208406709,
        6.351678607341791,
        6.352479004992473,
        6.353279401351376,
        6.354079796411119,
        6.354880190164324,
        6.355680582603611,
        6.356480973721601,
        6.357281363510912,
        6.358081751964168,
        6.358882139073987,
        6.35968252483299,
        6.360482909233798,
        6.3612832922690306,
        6.362083673931309,
        6.362884054213253,
        6.363684433107483,
        6.364484810606621,
        6.365285186703286,
        6.366085561390098,
        6.3668859346596784,
        6.367686306504647,
        6.368486676917625,
        6.369287045891233,
        6.370087413418091,
        6.370887779490818,
        6.371688144102037,
        6.372488507244367,
        6.373288868910429,
        6.374089229092842,
        6.374889587784229,
        6.375689944977209,
        6.376490300664402,
        6.377290654838428,
        6.37809100749191,
        6.378891358617466,
        6.379691708207718,
        6.380492056255285,
        6.381292402752789,
        6.382092747692848,
        6.382893091068086,
        6.38369343287112,
        6.384493773094573,
        6.3852941117310635,
        6.386094448773214,
        6.386894784213643,
        6.387695118044972,
        6.388495450259821,
        6.38929578085081,
        6.390096109810561,
        6.390896437131694,
        6.391696762806828,
        6.392497086828585,
        6.393297409189585,
        6.394097729882448,
        6.394898048899794,
        6.395698366234245,
        6.396498681878421,
        6.397298995824942,
        6.398099308066428,
        6.3988996185955,
        6.399699927404779,
        6.400500234486884,
        6.401300539834438,
        6.402100843440058,
        6.402901145296367,
        6.403701445395984,
        6.404501743731531,
        6.405302040295627,
        6.406102335080893,
        6.40690262807995,
        6.407702919285418,
        6.4085032086899165,
        6.409303496286068,
        6.41010378206649,
        6.4109040660238055,
        6.411704348150635,
        6.412504628439597,
        6.4133049068833134,
        6.414105183474404,
        6.41490545820549,
        6.415705731069191,
        6.416506002058128,
        6.417306271164921,
        6.418106538382191,
        6.4189068037025585,
        6.419707067118643,
        6.420507328623065,
        6.421307588208446,
        6.422107845867407,
        6.422908101592566,
        6.4237083553765455,
        6.424508607211965,
        6.425308857091445,
        6.4261091050076065,
        6.4269093509530695,
        6.427709594920454,
        6.428509836902382,
        6.429310076891473,
        6.430110314880347,
        6.430910550861624,
        6.431710784827926,
        6.432511016771873,
        6.433311246686085,
        6.434111474563182,
        6.434911700395785,
        6.435711924176516,
        6.436512145897993,
        6.437312365552837,
        6.43811258313367,
        6.43891279863311,
        6.4397130120437795,
        6.440513223358298,
        6.441313432569286,
        6.442113639669365,
        6.442913844651153,
        6.443714047507274,
        6.444514248230345,
        6.445314446812987,
        6.446114643247823,
        6.446914837527471,
        6.447715029644552,
        6.4485152195916875,
        6.449315407361496,
        6.4501155929466,
        6.4509157763396185,
        6.451715957533173,
        6.452516136519883,
        6.453316313292369,
        6.454116487843252,
        6.454916660165152,
        6.45571683025069,
        6.456516998092486,
        6.45731716368316,
        6.458117327015334,
        6.458917488081627,
        6.45971764687466,
        6.460517803387053,
        6.461317957611427,
        6.462118109540403,
        6.4629182591665995,
        6.463718406482639,
        6.46451855148114,
        6.465318694154725,
        6.4661188344960125,
        6.466918972497625,
        6.467719108152181,
        6.468519241452302,
        6.469319372390609,
        6.470119500959721,
        6.470919627152259,
        6.471719750960844,
        6.472519872378096,
        6.473319991396636,
        6.474120108009083,
        6.474920222208058,
        6.475720333986183,
        6.476520443336076,
        6.47732055025036,
        6.478120654721653,
        6.4789207567425775,
        6.479720856305753,
        6.4805209534038,
        6.481321048029338,
        6.482121140174989,
        6.482921229833373,
        6.48372131699711,
        6.484521401658822,
        6.485321483811126,
        6.4861215634466465,
        6.486921640558001,
        6.487721715137811,
        6.488521787178698,
        6.48932185667328,
        6.490121923614179,
        6.4909219879940165,
        6.491722049805411,
        6.4925221090409835,
        6.493322165693355,
        6.494122219755145,
        6.494922271218975,
        6.495722320077465,
        6.496522366323235,
        6.497322409948906,
        6.498122450947099,
        6.4989224893104325,
        6.49972252503153,
        6.500522558103008,
        6.501322588517491,
        6.502122616267596,
        6.502922641345946,
        6.50372266374516,
        6.504522683457859,
        6.505322700476663,
        6.506122714794193,
        6.50692272640307,
        6.507722735295912,
        6.508522741465343,
        6.50932274490398,
        6.510122745604446,
        6.51092274355936,
        6.5117227387613426,
        6.512522731203015,
        6.513322720876997,
        6.514122707775909,
        6.514922691892372,
        6.515722673219006,
        6.516522651748431,
        6.517322627473269,
        6.518122600386139,
        6.5189225704796625,
        6.519722537746459,
        6.520522502179149,
        6.521322463770353,
        6.522122422512693,
        6.522922378398786,
        6.523722331421256,
        6.524522281572723,
        6.525322228845805,
        6.526122173233124,
        6.5269221147273,
        6.527722053320955,
        6.528521989006707,
        6.5293219217771785,
        6.5301218516249895,
        6.530921778542759,
        6.531721702523109,
        6.53252162355866,
        6.533321541642032,
        6.5341214567658445,
        6.53492136892272,
        6.535721278105276,
        6.536521184306136,
        6.5373210875179195,
        6.538120987733246,
        6.538920884944736,
        6.539720779145012,
        6.540520670326692,
        6.541320558482397,
        6.542120443604748,
        6.5429203256863655,
        6.54372020471987,
        6.544520080697882,
        6.545319953613021,
        6.546119823457908,
        6.546919690225163,
        6.547719553907409,
        6.548519414497262,
        6.549319271987346,
        6.55011912637028,
        6.550918977638686,
        6.551718825785182,
        6.552518670802389,
        6.553318512682929,
        6.5541183514194215,
        6.554918187004487,
        6.555718019430746,
        6.556517848690818,
        6.557317674777326,
        6.558117497682887,
        6.558917317400124,
        6.559717133921657,
        6.560516947240106,
        6.5613167573480915,
        6.5621165642382335,
        6.562916367903153,
        6.563716168335471,
        6.564515965527806,
        6.565315759472782,
        6.5661155501630155,
        6.566915337591129,
        6.5677151217497425,
        6.568514902631477,
        6.569314680228953,
        6.570114454534789,
        6.570914225541608,
        6.571713993242029,
        6.5725137576286725,
        6.573313518694159,
        6.5741132764311105,
        6.574913030832145,
        6.575712781889885,
        6.576512529596949,
        6.577312273945958,
        6.578112014929535,
        6.5789117525402965,
        6.579711486770866,
        6.5805112176138625,
        6.581310945061906,
        6.582110669107618,
        6.582910389743619,
        6.583710106962529,
        6.584509820756968,
        6.585309531119557,
        6.5861092380429165,
        6.586908941519667,
        6.587708641542428,
        6.588508338103821,
        6.589308031196467,
        6.590107720812985,
        6.5909074069459965,
        6.5917070895881205,
        6.59250676873198,
        6.593306444370192,
        6.5941061164953805,
        6.594905785100163,
        6.595705450177162,
        6.596505111718997,
        6.5973047697182885,
        6.598104424167658,
        6.598904075059724,
        6.599703722387107,
        6.60050336614243,
        6.601303006318312,
        6.602102642907372,
        6.602902275902233,
        6.603701905295513,
        6.604501531079835,
        6.605301153247817,
        6.6061007717920806,
        6.606900386705247,
        6.607699997979935,
        6.608499605608766,
        6.609299209584361,
        6.6100988098993385,
        6.610898406546321,
        6.611697999517928,
        6.6124975888067805,
        6.613297174405498,
        6.614096756306702,
        6.614896334503012,
        6.615695908987049,
        6.616495479751433,
        6.617295046788785,
        6.618094610091726,
        6.618894169652875,
        6.6196937254648525,
        6.62049327752028,
        6.6212928258117785,
        6.622092370331966,
        6.622891911073465,
        6.623691448028896,
        6.624490981190878,
        6.625290510552031,
        6.626090036104979,
        6.626889557842339,
        6.627689075756733,
        6.628488589840781,
        6.629288100087103,
        6.63008760648832,
        6.630350809525541,
        6.631151338144189,
        6.631951864620808,
        6.632752388958567,
        6.633552911160638,
        6.634353431230192,
        6.6351539491704,
        6.635954464984433,
        6.636754978675461,
        6.6375554902466565,
        6.638355999701189,
        6.63915650704223,
        6.6399570122729505,
        6.640757515396523,
        6.6415580164161145,
        6.6423585153349,
        6.643159012156048,
        6.643959506882731,
        6.644759999518119,
        6.645560490065383,
        6.646360978527694,
        6.647161464908223,
        6.647961949210141,
        6.648762431436619,
        6.649562911590828,
        6.650363389675939,
        6.651163865695123,
        6.651964339651551,
        6.652764811548393,
        6.653565281388821,
        6.654365749176006,
        6.655166214913118,
        6.6559666786033285,
        6.6567671402498085,
        6.65756759985573,
        6.658368057424262,
        6.659168512958576,
        6.659968966461844,
        6.660769417937235,
        6.6615698673879225,
        6.662370314817076,
        6.6631707602278665,
        6.663971203623465,
        6.664771645007042,
        6.665572084381769,
        6.666372521750818,
        6.667172957117357,
        6.66797339048456,
        6.668773821855597,
        6.669574251233637,
        6.6703746786218545,
        6.671175104023418,
        6.671975527441499,
        6.672775948879268,
        6.673576368339897,
        6.674376785826556,
        6.675177201342417,
        6.67597761489065,
        6.676778026474426,
        6.677578436096916,
        6.678378843761292,
        6.679179249470724,
        6.679979653228383,
        6.680780055037439,
        6.681580454901065,
        6.682380852822431,
        6.683181248804707,
        6.683981642851065,
        6.684782034964676,
        6.68558242514871,
        6.68638281340634,
        6.687183199740734,
        6.687983584155066,
        6.688783966652505,
        6.689584347236222,
        6.690384725909389,
        6.691185102675176,
        6.691985477536755,
        6.6927858504972955,
        6.693586221559969,
        6.694386590727947,
        6.695186958004401,
        6.6959873233925,
        6.696787686895416,
        6.69758804851632,
        6.698388408258383,
        6.699188766124776,
        6.69998912211867,
        6.700789476243235,
        6.701589828501644,
        6.702390178897066,
        6.703190527432673,
        6.703990874111635,
        6.704791218937124,
        6.70559156191231,
        6.706391903040364,
        6.707192242324458,
        6.707992579767762,
        6.708792915373448,
        6.709593249144685,
        6.710393581084646,
        6.711193911196501,
        6.711994239483421,
        6.7127945659485775,
        6.71359489059514,
        6.714395213426282,
        6.715195534445171,
        6.715995853654981,
        6.716796171058881,
        6.717596486660043,
        6.718396800461639,
        6.719197112466837,
        6.71999742267881,
        6.7207977311007285,
        6.721598037735764,
        6.722398342587086,
        6.723198645657867,
        6.723998946951277,
        6.7247992464704875,
        6.725599544218669,
        6.726399840198994,
        6.72720013441463,
        6.728000426868752,
        6.7288007175645275,
        6.7296010065051295,
        6.730401293693729,
        6.731201579133496,
        6.732001862827602,
        6.7328021447792175,
        6.733602424991513,
        6.734402703467661,
        6.735202980210833,
        6.736003255224197,
        6.736803528510925,
        6.737603800074189,
        6.73840406991716,
        6.739204338043009,
        6.740004604454905,
        6.740804869156021,
        6.741605132149527,
        6.7424053934385935,
        6.743205653026393,
        6.744005910916095,
        6.744806167110871,
        6.745606421613894,
        6.74640667442833,
        6.747206925557355,
        6.748007175004137,
        6.748807422771848,
        6.749607668863659,
        6.75040791328274,
        6.751208156032263,
        6.752008397115399,
        6.752808636535318,
        6.753608874295192,
        6.754409110398191,
        6.755209344847486,
        6.75600957764625,
        6.756809808797651,
        6.757610038304861,
        6.758410266171052,
        6.759210492399394,
        6.760010716993057,
        6.760810939955214,
        6.761611161289036,
        6.762411380997691,
        6.763211599084354,
        6.764011815552192,
        6.764812030404379,
        6.7656122436440835,
        6.766412455274479,
        6.767212665298734,
        6.768012873720022,
        6.768813080541512,
        6.7696132857663756,
        6.770413489397783,
        6.7712136914389065,
        6.772013891892915,
        6.772814090762982,
        6.773614288052278,
        6.774414483763972,
        6.7752146779012365,
        6.776014870467242,
        6.77681506146516,
        6.777615250898161,
        6.778415438769416,
        6.779215625082096,
        6.780015809839371,
        6.780815993044413,
        6.781616174700393,
        6.782416354810483,
        6.783216533377851,
        6.784016710405671,
        6.784816885897111,
        6.785617059855344,
        6.786417232283541,
        6.787217403184872,
        6.7880175725625085,
        6.7888177404196215,
        6.789617906759382,
        6.79041807158496,
        6.791218234899528,
        6.792018396706256,
        6.792818557008315,
        6.793618715808875,
        6.794418873111109,
        6.795219028918186,
        6.7960191832332795,
        6.796819336059558,
        6.797619487400193,
        6.798419637258355,
        6.799219785637217,
        6.800019932539949,
        6.80082007796972,
        6.801620221929704,
        6.80242036442307,
        6.803220505452989,
        6.804020645022633,
        6.804820783135172,
        6.805620919793777,
        6.80642105500162,
        6.807221188761871,
        6.808021321077701,
        6.808821451952281,
        6.809621581388782,
        6.810421709390375,
        6.8112218359602315,
        6.812021961101521,
        6.812822084817416,
        6.813622207111086,
        6.814422327985704,
        6.815222447444438,
        6.816022565490462,
        6.816822682126945,
        6.81762279735706,
        6.8184229111839745,
        6.819223023610863,
        6.820023134640893,
        6.820823244277239,
        6.82162335252307,
        6.8224234593815565,
        6.823223564855871,
        6.8240236689491836,
        6.824823771664665,
        6.825623873005487,
        6.826423972974819,
        6.827224071575833,
        6.828024168811702,
        6.828824264685593,
        6.829624359200679,
        6.8304244523601305,
        6.831224544167119,
        6.8320246346248155,
        6.83282472373639,
        6.833624811505015,
        6.834424897933859,
        6.835224983026095,
        6.836025066784894,
        6.836825149213427,
        6.837625230314863,
        6.838425310092375,
        6.839225388549133,
        6.840025465688308,
        6.840825541513071,
        6.841625616026594,
        6.842425689232046,
        6.843225761132599,
        6.844025831731424,
        6.844825901031692,
        6.845625969036575,
        6.846426035749241,
        6.847226101172864,
        6.848026165310612,
        6.84882622816566,
        6.849626289741175,
        6.85042635004033,
        6.851226409066294,
        6.852026466822242,
        6.85282652331134,
        6.853626578536763,
        6.85442663250168,
        6.855226685209261,
        6.856026736662679,
        6.8568267868651045,
        6.8576268358197074,
        6.85842688352966,
        6.859226929998132,
        6.860026975228296,
        6.86082701922332,
        6.861627061986379,
        6.86242710352064,
        6.863227143829277,
        6.864027182915459,
        6.864827220782358,
        6.865627257433144,
        6.866427292870989,
        6.867227327099063,
        6.868027360120538,
        6.868827391938584,
        6.8696274225563725,
        6.870427451977075,
        6.871227480203861,
        6.872027507239902,
        6.872827533088369,
        6.8736275577524335,
        6.874427581235266,
        6.875227603540038,
        6.876027624669919,
        6.876827644628082,
        6.877627663417696,
        6.8784276810419325,
        6.879227697503963,
        6.880027712806959,
        6.88082772695409,
        6.881627739948528,
        6.882427751793443,
        6.883227762492007,
        6.88402777204739,
        6.884827780462763,
        6.885627787741298,
        6.886427793886166,
        6.887227798900536,
        6.8880278027875805,
        6.888827805550471,
        6.889627807192377,
        6.89042780771647,
        6.8912278071259205,
        6.892027805423901,
        6.8928278026135805,
        6.893627798698131,
        6.894427793680723,
        6.8952277875645285,
        6.896027780352718,
        6.896827772048462,
        6.89762776265493,
        6.898427752175296,
        6.89922774061273,
        6.900027727970402,
        6.9008277142514824,
        6.901627699459144,
        6.902427683596557,
        6.903227666666892,
        6.9040276486733205,
        6.904827629619013,
        6.905627609507141,
        6.906427588340875,
        6.907227566123385,
        6.908027542857844,
        6.9088275185474215,
        6.909627493195289,
        6.910427466804617,
        6.911227439378577,
        6.91202741092034,
        6.912827381433076,
        6.913627350919957,
        6.914427319384154,
        6.915227286828837,
        6.916027253257178,
        6.9168272186723465,
        6.917627183077515,
        6.918427146475853,
        6.919227108870533,
        6.920027070264726,
        6.920827030661601,
        6.921626990064331,
        6.922426948476085,
        6.9232269059000355,
        6.924026862339353,
        6.924826817797209,
        6.9256267722767735,
        6.9264267257812175,
        6.927226678313713,
        6.928026629877429,
        6.928826580475539,
        6.929626530111212,
        6.93042647878762,
        6.931226426507933,
        6.932026373275322,
        6.9328263190929595,
        6.933626263964015,
        6.93442620789166,
        6.935226150879065,
        6.936026092929401,
        6.93682603404584,
        6.937625974231552,
        6.9384259134897075,
        6.939225851823478,
        6.940025789236035,
        6.940825725730549,
        6.941625661310191,
        6.942425595978131,
        6.943225529737541,
        6.9440254625915925,
        6.944825394543455,
        6.9456253255963,
        6.946425255753299,
        6.947225185017623,
        6.9480251133924416,
        6.948825040880927,
        6.94962496748625,
        6.950424893211581,
        6.9512248180600915,
        6.952024742034952,
        6.952824665139334,
        6.953624587376408,
        6.954424508749345,
        6.955224429261317,
        6.956024348915493,
        6.956824267715045,
        6.9576241856631444,
        6.958424102762961,
        6.959224019017666,
        6.960023934430432,
        6.960823849004428,
        6.961623762742827,
        6.962423675648797,
        6.963223587725511,
        6.96402349897614,
        6.964823409403853,
        6.965623319011824,
        6.966423227803221,
        6.967223135781218,
        6.968023042948983,
        6.968822949309688,
        6.969622854866505,
        6.970422759622604,
        6.971222663581155,
        6.9720225667453315,
        6.972822469118302,
        6.973622370703239,
        6.974422271503313,
        6.975222171521694,
        6.976022070761554,
        6.976821969226065,
        6.977621866918395,
        6.978421763841717,
        6.979221659999202,
        6.98002155539402,
        6.980821450029343,
        6.981621343908341,
        6.982421237034186,
        6.9832211294100475,
        6.984021021039098,
        6.9848209119245075,
        6.985620802069447,
        6.986420691477088,
        6.9872205801506,
        6.988020468093156,
        6.988820355307926,
        6.989620241798081,
        6.990420127566791,
        6.991220012617228,
        6.992019896952564,
        6.992819780575967,
        6.993619663490612,
        6.994419545699666,
        6.995219427206301,
        6.99601930801369,
        6.996819188125001,
        6.997619067543408,
        6.998418946272079,
        6.9992188243141875,
        7.000018701672903,
        7.000818578351396,
        7.001618454352839,
        7.002418329680402,
        7.003218204337255,
        7.004018078326571,
        7.00481795165152,
        7.005617824315273,
        7.006417696321001,
        7.007217567671875,
        7.0080174383710645,
        7.008817308421743,
        7.00961717782708,
        7.010417046590246,
        7.011216914714413,
        7.0120167822027515,
        7.012816649058433,
        7.013616515284627,
        7.014416380884506,
        7.01521624586124,
        7.0160161102180005,
        7.016815973957959,
        7.017615837084285,
        7.018415699600149,
        7.019215561508725,
        7.020015422813182,
        7.02081528351669,
        7.021615143622421,
        7.022415003133546,
        7.023214862053236,
        7.0240147203846615,
        7.024814578130995,
        7.025614435295404,
        7.026414291881063,
        7.027214147891142,
        7.028014003328811,
        7.028813858197242,
        7.0296137124996045,
        7.030413566239071,
        7.031213419418812,
        7.032013272041998,
        7.032813124111801,
        7.03361297563139,
        7.034412826603938,
        7.035212677032614,
        7.036012526920591,
        7.0368123762710395,
        7.03761222508713,
        7.038412073372032,
        7.039211921128919,
        7.04001176836096,
        7.040811615071328,
        7.041611461263192,
        7.042411306939723,
        7.043211152104093,
        7.044010996759473,
        7.044810840909033,
        7.045610684555945,
        7.0464105277033795,
        7.047210370354507,
        7.048010212512499,
        7.048810054180526,
        7.049609895361759,
        7.05040973605937,
        7.051209576276529,
        7.052009416016406,
        7.052809255282174,
        7.053609094077003,
        7.054408932404064,
        7.055208770266527,
        7.0560086076675645,
        7.056808444610346,
        7.0576082810980445,
        7.058408117133829,
        7.059207952720871,
        7.060007787862342,
        7.060807622561412,
        7.061607456821253,
        7.0624072906450355,
        7.063207124035929,
        7.064006956997107,
        7.0648067895317395,
        7.065606621642997,
        7.066406453334051,
        7.067206284608072,
        7.06800611546823,
        7.068805945917698,
        7.069605775959646,
        7.070405605597245,
        7.071205434833666,
        7.072005263672079,
        7.072805092115656,
        7.073604920167568,
        7.074404747830986,
        7.075204575109081,
        7.076004402005022,
        7.076804228521983,
        7.077604054663133,
        7.078403880431644,
        7.079203705830685,
        7.080003530863429,
        7.080803355533047,
        7.081603179842709,
        7.082403003795585,
        7.083202827394849,
        7.084002650643669,
        7.084802473545217,
        7.085602296102664,
        7.086402118319182,
        7.087201940197939,
        7.08800176174211,
        7.088801582954862,
        7.089601403839368,
        7.0904012243988,
        7.0912010446363265,
        7.09200086455512,
        7.092800684158351,
        7.09360050344919,
        7.094400322430809,
        7.095200141106378,
        7.0959999594790695,
        7.096799777552052,
        7.097599595328498,
        7.098399412811578,
        7.099199230004464,
        7.099999046910326,
        7.100798863532335,
        7.1015986798736614,
        7.102398495937477,
        7.103198311726953,
        7.1039981272452595,
        7.104797942495567,
        7.105597757481049,
        7.106397572204874,
        7.107197386670213,
        7.107997200880238,
        7.10879701483812,
        7.109596828547029,
        7.110396642010136,
        7.111196455230614,
        7.111996268211631,
        7.112796080956359,
        7.113595893467971,
        7.114395705749635,
        7.115195517804524,
        7.1159953296358065,
        7.116795141246657,
        7.117594952640243,
        7.118394763819738,
        7.119194574788311,
        7.119994385549134,
        7.120794196105378,
        7.121594006460215,
        7.122393816616813,
        7.123193626578345,
        7.123993436347982,
        7.124793245928895,
        7.125593055324254,
        7.126392864537231,
        7.127192673570995,
        7.12799248242872,
        7.128792291113575,
        7.129592099628731,
        7.1303919079773594,
        7.131191716162631,
        7.131991524187716,
        7.1327913320557865,
        7.133591139770013,
        7.134390947333567,
        7.135190754749619,
        7.135990562021339,
        7.136790369151899,
        7.13759017614447,
        7.138389983002223,
        7.139189789728329,
        7.139989596325957,
        7.140789402798282,
        7.141589209148471,
        7.142389015379696,
        7.14318882149513,
        7.143988627497941,
        7.1447884333913025,
        7.145588239178383,
        7.146388044862356,
        7.14718785044639,
        7.147987655933658,
        7.148787461327331,
        7.1495872666305775,
        7.15038707184657,
        7.15118687697848,
        7.151986682029477,
        7.152786487002734,
        7.153586291901421,
        7.154386096728707,
        7.155185901487767,
        7.155985706181768,
        7.156785510813883,
        7.1575853153872835,
        7.158385119905138,
        7.15918492437062,
        7.159984728786899,
        7.1607845331571465,
        7.161584337484533,
        7.16238414177223,
        7.163183946023408,
        7.163983750241238,
        7.164783554428892,
        7.165583358589539,
        7.166383162726351,
        7.1671829668425,
        7.167982770941156,
        7.168782575025489,
        7.169582379098671,
        7.1703821831638725,
        7.171181987224265,
        7.171981791283018,
        7.172781595343306,
        7.173581399408296,
        7.174381203481161,
        7.175181007565071,
        7.175980811663198,
        7.1767806157787115,
        7.177580419914785,
        7.178380224074586,
        7.179180028261288,
        7.179979832478061,
        7.180779636728076,
        7.181579441014504,
        7.182379245340517,
        7.183179049709284,
        7.183978854123977,
        7.184778658587767,
        7.185578463103824,
        7.186378267675321,
        7.187178072305428,
        7.187977876997315,
        7.1887776817541535,
        7.189577486579115,
        7.190377291475369,
        7.191177096446088,
        7.191976901494443,
        7.1927767066236035,
        7.193576511836742,
        7.194376317137029,
        7.195176122527634,
        7.19597592801173,
        7.196775733592488,
        7.197575539273077,
        7.198375345056669,
        7.199175150946435,
        7.199974956945547,
        7.200774763057174,
        7.201574569284488,
        7.202374375630659,
        7.203174182098859,
        7.20397398869226,
        7.20477379541403,
        7.205573602267343,
        7.2063734092553675,
        7.207173216381276,
        7.207973023648239,
        7.208772831059427,
        7.2095726386180115,
        7.210372446327163,
        7.211172254190053,
        7.211972062209853,
        7.212771870389732,
        7.213571678732862,
        7.214371487242415,
        7.21517129592156,
        7.21597110477347,
        7.216770913801314,
        7.217570723008264,
        7.218370532397492,
        7.219170341972166,
        7.21997015173546,
        7.220769961690542,
        7.221569771840586,
        7.222369582188762,
        7.223169392738239,
        7.2239692034921905,
        7.224769014453786,
        7.225568825626197,
        7.226368637012594,
        7.2271684486161485,
        7.227968260440031,
        7.228768072487413,
        7.229567884761465,
        7.230367697265358,
        7.231167510002263,
        7.2319673229753505,
        7.2327671361877925,
        7.233566949642759,
        7.234366763343422,
        7.235166577292951,
        7.235966391494518,
        7.236766205951294,
        7.237566020666449,
        7.238365835643155,
        7.2391656508845825,
        7.239965466393902,
        7.240765282174285,
        7.241565098228903,
        7.242364914560926,
        7.2431647311735246,
        7.243964548069871,
        7.244764365253135,
        7.245564182726489,
        7.246364000493103,
        7.247163818556148,
        7.2479636369187945,
        7.248763455584214,
        7.249563274555578,
        7.2503630938360555,
        7.25116291342882,
        7.251962733337041,
        7.252762553563889,
        7.253562374112536,
        7.254362194986153,
        7.25516201618791,
        7.255961837720979,
        7.25676165958853,
        7.257561481793735,
        7.258361304339763,
        7.259161127229787,
        7.2599609504669775,
        7.260760774054505,
        7.26156059799554,
        7.262360422293255,
        7.26316024695082,
        7.263960071971406,
        7.264759897358183,
        7.265559723114324,
        7.266359549242998,
        7.267159375747377,
        7.267959202630632,
        7.268759029895933,
        7.2695588575464525,
        7.27035868558536,
        7.271158514015827,
        7.2719583428410255,
        7.272758172064124,
        7.273558001688296,
        7.274357831716711,
        7.27515766215254,
        7.275957492998955,
        7.276757324259125,
        7.277557155936223,
        7.278356988033419,
        7.279156820553884,
        7.279956653500788,
        7.280756486877304,
        7.281556320686602,
        7.282356154931853,
        7.283155989616227,
        7.283955824742896,
        7.284755660315031,
        7.285555496335802,
        7.286355332808381,
        7.287155169735939,
        7.287955007121646,
        7.288754844968674,
        7.289554683280192,
        7.290354522059374,
        7.291154361309388,
        7.291954201033407,
        7.292754041234601,
        7.293553881916141,
        7.294353723081199,
        7.295153564732944,
        7.295953406874548,
        7.296753249509183,
        7.297553092640018,
        7.298352936270225,
        7.299152780402975,
        7.299952625041438,
        7.300752470188787,
        7.301552315848191,
        7.302352162022822,
        7.30315200871585,
        7.303951855930446,
        7.304751703669782,
        7.305551551937029,
        7.306351400735357,
        7.307151250067937,
        7.307951099937941,
        7.308750950348538,
        7.309550801302901,
        7.3103506528042,
        7.311150504855606,
        7.31195035746029,
        7.312750210621423,
        7.313550064342176,
        7.3143499186257195,
        7.315149773475225,
        7.315949628893864,
        7.316749484884806,
        7.3175493414512225,
        7.318349198596285,
        7.319149056323164,
        7.319948914635031,
        7.320748773535056,
        7.32154863302641,
        7.322348493112265,
        7.323148353795791,
        7.323948215080159,
        7.3247480769685405,
        7.325547939464107,
        7.3263478025700275,
        7.327147666289474,
        7.327947530625618,
        7.32874739558163,
        7.329547261160681,
        7.3303471273659415,
        7.331146994200584,
        7.3319468616677765,
        7.332746729770693,
        7.333546598512503,
        7.334346467896377,
        7.335146337925487,
        7.335946208603003,
        7.336746079932097,
        7.337545951915939,
        7.338345824557702,
        7.339145697860554,
        7.339945571827667,
        7.340745446462213,
        7.341545321767362,
        7.342345197746285,
        7.343145074402153,
        7.343944951738137,
        7.344744829757408,
        7.345544708463137,
        7.346344587858495,
        7.347144467946653,
        7.347944348730781,
        7.348744230214052,
        7.349544112399634,
        7.350343995290702,
        7.351143878890423,
        7.3519437632019695,
        7.352743648228513,
        7.353543533973224,
        7.354343420439273,
        7.355143307629831,
        7.35594319554807,
        7.35674308419716,
        7.357542973580272,
        7.358342863700578,
        7.359142754561248,
        7.359942646165452,
        7.360742538516362,
        7.36154243161715,
        7.362342325470985,
        7.3631422200810395,
        7.363942115450484,
        7.364742011582488,
        7.365541908480225,
        7.366341806146864,
        7.367141704585577,
        7.367941603799534,
        7.368741503791907,
        7.369541404565866,
        7.370341306124583,
        7.371141208471228,
        7.371941111608972,
        7.372741015540987,
        7.373540920270442,
        7.374340825800511,
        7.375140732134362,
        7.375940639275167,
        7.376740547226097,
        7.3775404559903235,
        7.378340365571017,
        7.379140275971348,
        7.379940187194487,
        7.3807400992436065,
        7.381540012121877,
        7.3823399258324685,
        7.383139840378553,
        7.3839397557633015,
        7.384739671989884,
        7.385539589061472,
        7.386339506981236,
        7.387139425752348,
        7.387939345377979,
        7.388739265861298,
        7.389539187205478,
        7.390339109413689,
        7.391139032489102,
        7.391938956434887,
        7.392738881254218,
        7.3935388069502626,
        7.394338733526194,
        7.3951386609851815,
        7.395938589330397,
        7.396738518565011,
        7.397538448692196,
        7.3983383797151205,
        7.399138311636957,
        7.399938244460876,
        7.400738178190049,
        7.401538112827646,
        7.402338048376839,
        7.403137984840797,
        7.403937922222694,
        7.404737860525698,
        7.405537799752982,
        7.406337739907716,
        7.407137680993071,
        7.407937623012218,
        7.4087375659683286,
        7.409537509864572,
        7.410337454704122,
        7.411137400490147,
        7.411937347225819,
        7.412737294914308,
        7.413537243558786,
        7.4143371931624245,
        7.415137143728393,
        7.4159370952598636,
        7.416737047760006,
        7.4175370012319926,
        7.418336955678994,
        7.41913691110418,
        7.419936867510723,
        7.420736824901792,
        7.42153678328056,
        7.422336742650197,
        7.423136703013875,
        7.4239366643747635,
        7.424736626736034,
        7.425536590100857,
        7.426336554472405,
        7.427136519853847,
        7.427936486248355,
        7.4287364536591,
        7.429536422089253,
        7.430336391541985,
        7.431136362020466,
        7.431936333527868,
        7.432736306067361,
        7.433536279642117,
        7.434336254255307,
        7.4351362299101,
        7.435936206609669,
        7.436736184357184,
        7.4375361631558174,
        7.438336143008738,
        7.439136123919118,
        7.439936105890128,
        7.440736088924939,
        7.441536073026723,
        7.442336058198649,
        7.4431360444438885,
        7.443936031765613,
        7.444736020166994,
        7.445536009651201,
        7.4463360002214065,
        7.4471359918807805,
        7.447935984632494,
        7.448735978479718,
        7.449535973425624,
        7.4503359694733815,
        7.451135966626163,
        7.451935964887139,
        7.45273596425948,
        7.453535964746358,
        7.454335966350942,
        7.455135969076405,
        7.455935972925917,
        7.456735977902649,
        7.4575359840097715,
        7.458335991250457,
        7.4591359996278745,
        7.4599360091451965,
        7.4607360198055925,
        7.461536031612235,
        7.4623360445682945,
        7.463136058676941,
        7.463936073941347,
        7.464736090364681,
        7.4655361079501175,
        7.466336126700824,
        7.467136146619974,
        7.467936167710737,
        7.468736189976283,
        7.4695362134197865,
        7.470336238044415,
        7.4711362638533405,
        7.471936290849735,
        7.472736319036768,
        7.4735363484176105,
        7.474336378995435,
        7.475136410773411,
        7.475936443754709,
        7.476736477942502,
        7.47753651333996,
        7.478336549950253,
        7.479136587776553,
        7.479936626822031,
        7.480736667089857,
        7.481536708583203,
        7.482336751305239,
        7.483136795259137,
        7.483936840448067,
        7.4847368868752,
        7.485536934543708,
        7.48633698345676,
        7.48713703361753,
        7.487937085029186,
        7.4887371376949,
        7.489537191617844,
        7.490337246801187,
        7.4911373032481015,
        7.491937360961757,
        7.4927374199453265,
        7.493537480201979,
        7.494337541734888,
        7.495137604547221,
        7.495937668642151,
        7.496737734022848,
        7.497537800692484,
        7.498337868654231,
        7.499137937911256,
        7.499938008466734,
        7.500738080323834,
        7.501538153485727,
        7.502338227955584,
        7.503138303736577,
        7.503938380831876,
        7.504738459244652,
        7.505538538978076,
        7.506338620035319,
        7.507138702419551,
        7.507938786133946,
        7.508738871181671,
        7.5095389575658995,
        7.510339045289802,
        7.511139134356549,
        7.5119392247693115,
        7.512739316531261,
        7.513539409645568,
        7.514339504115403,
        7.515139599943938,
        7.515939697134343,
        7.51673979568979,
        7.5175398956134485,
        7.518339996908491,
        7.519140099578087,
        7.519940203625409,
        7.520740309053626,
        7.521540415865911,
        7.5223405240654335,
        7.523140633655366,
        7.523940744638877,
        7.52474085701914,
        7.525540970799324,
        7.526341085982601,
        7.5271412025721425,
        7.527941320571118,
        7.528741439982699,
        7.529541560810056,
        7.530341683056362,
        7.5311418067247855,
        7.531941931818499,
        7.532742058340673,
        7.533542186294477,
        7.534342315683085,
        7.535142446509665,
        7.535942578777389,
        7.5367427124894295,
        7.537542847648955,
        7.538342984259137,
        7.539143122323148,
        7.539943261844158,
        7.540743402825338,
        7.5415435452698585,
        7.542343689180891,
        7.543143834561605,
        7.5439439814151745,
        7.5447441297447675,
        7.545544279553557,
        7.546344430844712,
        7.547144583621405,
        7.547944737886806,
        7.548744893644087,
        7.549545050896418,
        7.55034520964697,
        7.551145369898915,
        7.551945531655423,
        7.552745694919665,
        7.553545859694812,
        7.554346025984035,
        7.555146193790505,
        7.555946363117393,
        7.55674653396787,
        7.557546706345107,
        7.558346880252275,
        7.559147055692543,
        7.559947232669086,
        7.560747411185071,
        7.561547591243672,
        7.5623477728480575,
        7.5631479560014,
        7.56394814070687,
        7.564748326967638,
        7.565548514786875,
        7.566348704167753,
        7.5671488951134425,
        7.567949087627113,
        7.568749281711938,
        7.569549477371087,
        7.57034967460773,
        7.57114987342504,
        7.571950073826186,
        7.572750275814341,
        7.573550479392674,
        7.574350684564357,
        7.575150891332561,
        7.575951099700457,
        7.576751309671215,
        7.577551521248007,
        7.578351734434003,
        7.579151949232376,
        7.579952165646294,
        7.58075238367893,
        7.581552603333454,
        7.582352824613038,
        7.5831530475208515,
        7.583953272060066,
        7.584753498233853,
        7.585553726045384,
        7.586353955497828,
        7.587154186594358,
        7.587954419338143,
        7.588754653732355,
        7.589554889780166,
        7.590355127484744,
        7.591155366849263,
        7.591955607876892,
        7.5927558505708035,
        7.593556094934168,
        7.594356340970155,
        7.595156588681936,
        7.595956838072683,
        7.596757089145568,
        7.597557341903759,
        7.598357596350428,
        7.599157852488747,
        7.599958110321886,
        7.600758369853016,
        7.601558631085308,
        7.6023588940219335,
        7.603159158666063,
        7.603959425020867,
        7.604759693089518,
        7.605559962875184,
        7.6063602343810395,
        7.607160507610254,
        7.607960782565997,
        7.608761059251441,
        7.609561337669757,
        7.610361617824116,
        7.611161899717687,
        7.6119621833536435,
        7.612762468735156,
        7.613562755865394,
        7.61436304474753,
        7.615163335384734,
        7.615963627780177,
        7.6167639219370304,
        7.617564217858464,
        7.618364515547651,
        7.61916481500776,
        7.619965116241964,
        7.620765419253432,
        7.621565724045338,
        7.6223660306208485,
        7.623166338983138,
        7.623966649135376,
        7.624766961080733,
        7.625567274822381,
        7.626367590363491,
        7.627167907707233,
        7.627968226856779,
        7.6287685478153,
        7.629568870585965,
        7.630369195171947,
        7.631169521576417,
        7.631969849802544,
        7.632770179853501,
        7.633570511732458,
        7.634370845442586,
        7.635171180987056,
        7.635971518369039,
        7.636771857591706,
        7.637572198658228,
        7.638372541571776,
        7.639172886335521,
        7.639973232952633,
        7.640773581426284,
        7.641573931759645,
        7.642374283955886,
        7.643174638018179,
        7.643974993949694,
        7.644775351753603,
        7.645575711433077,
        7.646376072991285,
        7.6471764364314,
        7.647976801756593,
        7.648777168970033,
        7.649577538074892,
        7.6498502351459265,
        7.651150401557075,
        7.652450550936206,
        7.653750683354443,
        7.655050798882909,
        7.656350897592729,
        7.657650979555024,
        7.658951044840919,
        7.6602510935215395,
        7.661551125668006,
        7.662851141351444,
        7.664151140642977,
        7.665451123613728,
        7.666751090334822,
        7.668051040877382,
        7.669350975312531,
        7.670650893711392,
        7.67195079614509,
        7.673250682684747,
        7.67455055340149,
        7.675850408366441,
        7.677150247650721,
        7.678450071325457,
        7.679749879461771,
        7.681049672130786,
        7.682349449403628,
        7.683649211351421,
        7.684948958045284,
        7.686248689556345,
        7.687548405955727,
        7.68884810731455,
        7.690147793703944,
        7.6914474651950275,
        7.692747121858925,
        7.694046763766762,
        7.695346390989661,
        7.696646003598746,
        7.69794560166514,
        7.699245185259967,
        7.7005447544543495,
        7.701844309319413,
        7.703143849926281,
        7.7044433763460765,
        7.705742888649922,
        7.707042386908943,
        7.708341871194262,
        7.709641341577004,
        7.710940798128292,
        7.712240240919248,
        7.713539670020997,
        7.7148390855046625,
        7.71613848744137,
        7.71743787590224,
        7.718737250958398,
        7.720036612680967,
        7.721335961141071,
        7.722635296409832,
        7.723934618558378,
        7.725233927657827,
        7.726533223779306,
        7.727832506993938,
        7.729131777372848,
        7.730431034987156,
        7.731730279907989,
        7.733029512206469,
        7.73432873195372,
        7.7356279392208664,
        7.736927134079032,
        7.73822631659934,
        7.739525486852911,
        7.740824644910873,
        7.742123790844348,
        7.7434229247244595,
        7.744722046622332,
        7.746021156609087,
        7.74732025475585,
        7.748619341133745,
        7.7499184158138945,
        7.751217478867421,
        7.752516530365451,
        7.753815570379107,
        7.75511459897951,
        7.756413616237788,
        7.757712622225063,
        7.759011617012458,
        7.760310600671096,
        7.761609573272102,
        7.7629085348865985,
        7.764207485585711,
        7.765506425440561,
        7.7668053545222735,
        7.7681042729019705,
        7.769403180650778,
        7.77070207783982,
        7.772000964540216,
        7.773299840823094,
        7.7745987067595745,
        7.7758975624207824,
        7.777196407877843,
        7.778495243201878,
        7.779794068464011,
        7.781092883735365,
        7.782391689087067,
        7.783690484590236,
        7.784989270316,
        7.78628804633548,
        7.7875868127198,
        7.788885569540083,
        7.790184316867454,
        7.791483054773037,
        7.792781783327955,
        7.794080502603331,
        7.795379212670288,
        7.796677913599952,
        7.797976605463445,
        7.799275288331891,
        7.800573962276413,
        7.8018726273681365,
        7.803171283678182,
        7.804469931277676,
        7.805768570237742,
        7.807067200629503,
        7.808365822524081,
        7.809664435992602,
        7.810963041106188,
        7.812261637935964,
        7.813560226553053,
        7.814858807028578,
        7.816157379433664,
        7.817455943839432,
        7.818754500317009,
        7.820053048937519,
        7.821351589772082,
        7.822650122891822,
        7.823948648367866,
        7.825247166271334,
        7.826545676673353,
        7.827844179645045,
        7.8291426752575335,
        7.830441163581941,
        7.831739644689394,
        7.833038118651014,
        7.834336585537924,
        7.835635045421251,
        7.836933498372114,
        7.838231944461641,
        7.839530383760954,
        7.840828816341174,
        7.842127242273429,
        7.84342566162884,
        7.844724074478531,
        7.846022480893625,
        7.847320880945249,
        7.848619274704523,
        7.8499176622425715,
        7.851216043630519,
        7.852514418939487,
        7.853812788240601,
        7.855111151604987,
        7.856409509103764,
        7.857707860808057,
        7.859006206788991,
        7.860304547117689,
        7.8616028818652754,
        7.862901211102872,
        7.864199534901603,
        7.865497853332593,
        7.866796166466965,
        7.868094474375843,
        7.869392777130351,
        7.87069107480161,
        7.8719893674607455,
        7.873287655178883,
        7.874585938027145,
        7.875884216076653,
        7.877182489398532,
        7.8784807580639065,
        7.879779022143898,
        7.881077281709634,
        7.882375536832235,
        7.8836737875828256,
        7.884972034032527,
        7.886270276252468,
        7.887568514313767,
        7.888866748287551,
        7.8901649782449415,
        7.8914632042570645,
        7.892761426395042,
        7.894059644729996,
        7.895357859333055,
        7.8966560702753394,
        7.897954277627972,
        7.899252481462077,
        7.900550681848779,
        7.901848878859203,
        7.90314707256447,
        7.904445263035703,
        7.905743450344028,
        7.907041634560569,
        7.908339815756447,
        7.909637994002788,
        7.910936169370714,
        7.91223434193135,
        7.913532511755819,
        7.914830678915244,
        7.91612884348075,
        7.917427005523459,
        7.9187251651144965,
        7.920023322324985,
        7.921321477226048,
        7.922619629888809,
        7.923917780384393,
        7.925215928783922,
        7.926514075158521,
        7.927812219579312,
        7.929110362117421,
        7.930408502843969,
        7.931706641830083,
        7.933004779146882,
        7.934302914865493,
        7.9356010490570394,
        7.9368991817926435,
        7.93819731314343,
        7.9394954431805225,
        7.9407935719750435,
        7.942091699598118,
        7.94338982612087,
        7.944687951614423,
        7.9459860761498975,
        7.947284199798419,
        7.948582322631113,
        7.949880444719103,
        7.95117856613351,
        7.9524766869454595,
        7.9537748072260746,
        7.95507292704648,
        7.956371046477797,
        7.957669165591152,
        7.958967284457667,
        7.9602654031484645,
        7.96156352173467,
        7.962861640287407,
        7.964159758877799,
        7.96545787757697,
        7.966755996456042,
        7.96805411558614,
        7.969352235038388,
        7.970650354883908,
        7.971948475193825,
        7.973246596039264,
        7.974544717491345,
        7.975842839621194,
        7.977140962499933,
        7.978439086198689,
        7.979737210788583,
        7.981035336340738,
        7.982333462926279,
        7.983631590616329,
        7.984929719482013,
        7.986227849594454,
        7.987525981024774,
        7.988824113844098,
        7.99012224812355,
        7.991420383934253,
        7.9927185213473315,
        7.994016660433908,
        7.995314801265106,
        7.99661294391205,
        7.997911088445863,
        7.999209234937671,
        8.000507383458594,
        8.001805534079757,
        8.003103686872285,
        8.004401841907299,
        8.005699999255926,
        8.006998158989287,
        8.008296321178506,
        8.009594485894707,
        8.010892653209014,
        8.012190823192551,
        8.013488995916441,
        8.014787171451808,
        8.016085349869773,
        8.017383531241464,
        8.018681715638003,
        8.019979903130512,
        8.021278093790116,
        8.022576287687938,
        8.023874484895103,
        8.025172685482733,
        8.026470889521953,
        8.027769097083885,
        8.029067308239654,
        8.030365523060384,
        8.031663741617198,
        8.032961963981219,
        8.034260190223572,
        8.035558420415379,
        8.036856654627764,
        8.03815489293185,
        8.039453135398764,
        8.040751382099627,
        8.042049633105563,
        8.043347888487695,
        8.044646148317149,
        8.045944412665044,
        8.047242681602508,
        8.048540955200664,
        8.049839233530633,
        8.051137516663543,
        8.052435804670512,
        8.05373409762267,
        8.055032395591136,
        8.056330698647034,
        8.05762900686149,
        8.058927320305626,
        8.060225639050566,
        8.061523963167433,
        8.06282229272735,
        8.064120627801444,
        8.065418968460836,
        8.06671731477665,
        8.06801566682001,
        8.069314024662038,
        8.07061238837386,
        8.071910758026599,
        8.073209133691378,
        8.07450751543932,
        8.075805903341552,
        8.077104297469193,
        8.07840269789337,
        8.079701104685205,
        8.08099951791582,
        8.082297937656342,
        8.083596363977897,
        8.084894796951602,
        8.086193236648581,
        8.087491683139964,
        8.08879013649687,
        8.090088596790425,
        8.091387064091748,
        8.092685538471969,
        8.093984020002205,
        8.095282508753586,
        8.096581004797232,
        8.097879508204267,
        8.099178019045816,
        8.100476537393,
        8.101775063316946,
        8.103073596888773,
        8.10437213817961,
        8.105670687260579,
        8.106969244202801,
        8.1082678090774,
        8.109566381955506,
        8.110864962908234,
        8.112163552006713,
        8.113462149322064,
        8.114760754925411,
        8.11605936888788,
        8.117357991280594,
        8.118656622174672,
        8.119955261641243,
        8.12125390975143,
        8.122552566576354,
        8.12385123218714,
        8.125149906654912,
        8.126448590050794,
        8.127747282445908,
        8.129045983911379,
        8.13034469451833,
        8.131643414337887,
        8.13294214344117,
        8.134240881899302,
        8.135539629783413,
        8.13683838716462,
        8.13813715411405,
        8.139435930702824,
        8.140734717002069,
        8.142033513082907,
        8.143332319016462,
        8.144631134873856,
        8.145929960726216,
        8.147228796644661,
        8.148527642700317,
        8.149826498964309,
        8.151125365507761,
        8.152424242401795,
        8.153723129717532,
        8.155022027526101,
        8.15632093589862,
        8.157619854906219,
        8.158918784620017,
        8.160217725111139,
        8.161516676450708,
        8.162815638709848,
        8.164114611959683,
        8.165413596271339,
        8.166712591715935,
        8.168011598364595,
        8.169310616288445,
        8.17060964555861,
        8.171908686246212,
        8.173207738422374,
        8.174506802158218,
        8.17580587752487,
        8.177104964593454,
        8.178404063435092,
        8.17970317412091,
        8.18100229672203,
        8.182301431309574,
        8.183600577954667,
        8.184899736728436,
        8.186198907702,
        8.187498090946484,
        8.188797286533012,
        8.190096494532707,
        8.191395715016696,
        8.192694948056097,
        8.193994193722038,
        8.19529345208564,
        8.196592723218028,
        8.197892007190326,
        8.199191304073658,
        8.200490613939145,
        8.20178993685791,
        8.203089272901083,
        8.204388622139781,
        8.205687984645133,
        8.206987360488258,
        8.208286749740282,
        8.209586152472326,
        8.210885568755518,
        8.21218499866098,
        8.213484442259833,
        8.214783899623205,
        8.216083370822215,
        8.217382855927989,
        8.218682355011651,
        8.219981868144325,
        8.221281395397135,
        8.2225809368412,
        8.22388049254765,
        8.225180062587604,
        8.226479647032189,
        8.227779245952526,
        8.22907885941974,
        8.230378487504954,
        8.231678130279292,
        8.232977787813878,
        8.234277460179836,
        8.235577147448286,
        8.236876849690358,
        8.238176566977168,
        8.239476299379847,
        8.240776046969515,
        8.242075809817296,
        8.243375587994311,
        8.24467538157169,
        8.245975190620552,
        8.24727501521202,
        8.248574855417221,
        8.249874711307276,
        8.25117458295331,
        8.252474470426446,
        8.253774373797807,
        8.255074293138518,
        8.2563742285197,
        8.257674180012483,
        8.258974147687983,
        8.260274131617328,
        8.26157413187164,
        8.262874148522044,
        8.264174181639662,
        8.265474231295618,
        8.266774297561037,
        8.268074380507041,
        8.269374480204757,
        8.270674596725303,
        8.271974730139808,
        8.273274880519391,
        8.27457504793518,
        8.275875232458295,
        8.277175434159863,
        8.278475653111004,
        8.279775889382844,
        8.281076143046507,
        8.282376414173115,
        8.283676702833793,
        8.284977009099663,
        8.28627733304185,
        8.287577674731477,
        8.28887803423967,
        8.290178411637548,
        8.291478806996238,
        8.292779220386864,
        8.294079651880546,
        8.295380101548412,
        8.296680569461586,
        8.297981055691185,
        8.299281560308339,
        8.30058208338417,
        8.301882624989801,
        8.303183185196355,
        8.30448376407496,
        8.305784361696732,
        8.3070849781328,
        8.308385613454288,
        8.309686267732317,
        8.310986941038012,
        8.312287633442496,
        8.313588345016893,
        8.314889075832326,
        8.316189825959922,
        8.317490595470801,
        8.318791384436086,
        8.320092192926902,
        8.321393021014373,
        8.322693868769624,
        8.323994736263778,
        8.325295623567957,
        8.326596530753283,
        8.327897457890884,
        8.329198405051882,
        8.3304993723074,
        8.331800359728561,
        8.33310136738649,
        8.33440239535231,
        8.335703443697145,
        8.33700451249212,
        8.338305601808356,
        8.339606711716979,
        8.34090784228911,
        8.342208993595872,
        8.343510165708395,
        8.344811358697797,
        8.346112572635201,
        8.347413807591733,
        8.348715063638517,
        8.350016340846675,
        8.351317639287334,
        8.352618959031613,
        8.353920300150637,
        8.355221662715532,
        8.35652304679742,
        8.357824452467424,
        8.35912587979667,
        8.360427328856279,
        8.361728799717373,
        8.36303029245108,
        8.364331807128524,
        8.365633343820825,
        8.366934902599107,
        8.368236483534496,
        8.369538086698114,
        8.370839712161086,
        8.372141359994533,
        8.37344303026958,
        8.374744723057352,
        8.376046438428972,
        8.377348176455563,
        8.378649937208248,
        8.379951720758154,
        8.3812535271764,
        8.38255535653411,
        8.383857208902413,
        8.385159084352427,
        8.38646098295528,
        8.38776290478209,
        8.389064849903985,
        8.390366818392089,
        8.391668810317523,
        8.392970825751412,
        8.394272864764881,
        8.39557492742905,
        8.396877013815047,
        8.39817912399399,
        8.399481258037008,
        8.400783416015223,
        8.402085597999758,
        8.403387804061737,
        8.404690034272283,
        8.405992288702523,
        8.407294567423577,
        8.408596870506567,
        8.409899198022618,
        8.411201550042858,
        8.412503926638408,
        8.413806327880389,
        8.415108753839927,
        8.416411204588146,
        8.417713680196169,
        8.419016180735117,
        8.42031870627612,
        8.421621256890296,
        8.42292383264877,
        8.424226433622668,
        8.425529059883111,
        8.426831711501222,
        8.428134388548127,
        8.42943709109495,
        8.43073981921281,
        8.432042572972836,
        8.433345352446151,
        8.434648157703876,
        8.435950988817137,
        8.437253845857054,
        8.438556728894754,
        8.439859638001362,
        8.441162573247997,
        8.442465534705786,
        8.44376852244585,
        8.445071536539317,
        8.446374577057306,
        8.447677644070943,
        8.448980737651352,
        8.450283857869655,
        8.451587004796977,
        8.45289017850444,
        8.45419337906317,
        8.45549660654429,
        8.456799861018922,
        8.45810314255819,
        8.459406451233221,
        8.460709787115134,
        8.462013150275054,
        8.463316540784106,
        8.464619958713413,
        8.465923404134099,
        8.467226877117286,
        8.4685303777341,
        8.469833906055664,
        8.471137462153099,
        8.472441046097531,
        8.473744657960083,
        8.475048297811881,
        8.476351965724046,
        8.4776556617677,
        8.478959386013972,
        8.48026313853398,
        8.481566919398851,
        8.482870728679709,
        8.484174566447674,
        8.485478432773874,
        8.486782327729431,
        8.488086251385466,
        8.489390203813107,
        8.490694185083477,
        8.491998195267694,
        8.49330223443689,
        8.49460630266218,
        8.495910400014695,
        8.497214526565557,
        8.498518682385887,
        8.49982286754681,
        8.50112708211945,
        8.502431326174928,
        8.503735599784374,
        8.505039903018906,
        8.506344235949648,
        8.507648598647727,
        8.50895299118426,
        8.51025741363038,
        8.511561866057207,
        8.512866348535859,
        8.514170861137465,
        8.515475403933149,
        8.516779976994032,
        8.51808458039124,
        8.519389214195895,
        8.520693878479122,
        8.521998573312043,
        8.523303298765784,
        8.524608054911464,
        8.525912841820213,
        8.527217659563151,
        8.5285225082114,
        8.529827387836088,
        8.531132298508336,
        8.532437240299267,
        8.533742213280005,
        8.535047217521676,
        8.5363522530954,
        8.537657320072304,
        8.53896241852351,
        8.540267548520141,
        8.541572710133323,
        8.542877903434176,
        8.544183128493827,
        8.545488385383399,
        8.546793674174015,
        8.548098994936796,
        8.54940434774287,
        8.550709732663359,
        8.552015149769385,
        8.553320599132075,
        8.554626080822551,
        8.555931594911936,
        8.557237141471353,
        8.558542720571928,
        8.559848332284783,
        8.561153976681041,
        8.562459653831827,
        8.563765363808265,
        8.565071106681478,
        8.56637688252259,
        8.567682691402721,
        8.568988533393,
        8.570294408564548,
        8.57160031698849,
        8.572906258735948,
        8.574212233878047,
        8.57551824248591,
        8.576824284630659,
        8.57813036038342,
        8.579436469815317,
        8.580742612997472,
        8.582048790001009,
        8.58335500089705,
        8.584661245756722,
        8.585967524651148,
        8.587273837651452,
        8.588580184828754,
        8.589886566254178,
        8.591192981998852,
        8.592499432133897,
        8.593805916730437,
        8.595112435859596,
        8.596418989592497,
        8.597725578000261,
        8.599032201154017,
        8.600338859124886,
        8.601645551983994,
        8.602952279802459,
        8.604259042651409,
        8.605565840601965,
        8.606872673725254,
        8.6081795420924,
        8.609486445774522,
        8.610793384842745,
        8.612100359368194,
        8.613407369421996,
        8.614714415075268,
        8.616021496399137,
        8.617328613464727,
        8.61863576634316,
        8.61994295510556,
        8.621250179823054,
        8.622557440566762,
        8.623864737407807,
        8.625172070417314,
        8.626479439666408,
        8.627786845226213,
        8.629094287167849,
        8.630401765562443,
        8.631709280481115,
        8.633016831994993,
        8.634324420175197,
        8.635632045092855,
        8.636939706819087,
        8.638247405425016,
        8.639555140981766,
        8.640862913560465,
        8.642170723232232,
        8.643478570068194,
        8.644786454139469,
        8.646094375517187,
        8.647402334272467,
        8.648710330476437,
        8.650018364200218,
        8.651326435514932,
        8.652634544491706,
        8.65394269120166,
        8.655250875715922,
        8.656559098105614,
        8.657867358441859,
        8.659175656795778,
        8.660483993238499,
        8.661792367841144,
        8.663100780674837,
        8.664409231810701,
        8.66571772131986,
        8.667026249273437,
        8.668334815742556,
        8.66964342079834,
        8.670952064511917,
        8.672260746954406,
        8.673569468196929,
        8.674878228310615,
        8.676187027366582,
        8.67749586543596,
        8.678804742589868,
        8.68011365889943,
        8.681422614435771,
        8.682731609270014,
        8.684040643473283,
        8.685349717116702,
        8.686658830271394,
        8.687967983008482,
        8.68927717539909,
        8.690586407514344,
        8.691895679425365,
        8.693204991203276,
        8.694514342919202,
        8.695823734644266,
        8.697133166449595,
        8.69844263840631,
        8.69975215058553,
        8.701061703058386,
        8.702371295895997,
        8.70368092916949,
        8.704990602949987,
        8.706300317308612,
        8.707610072316488,
        8.708919868044736,
        8.710229704564485,
        8.711539581946857,
        8.712849500262974,
        8.71415945958396,
        8.71546945998094,
        8.716779501525036,
        8.718089584287373,
        8.719399708339074,
        8.720709873751261,
        8.72202008059506,
        8.723330328941595,
        8.724640618861988,
        8.725950950427363,
        8.727261323708845,
        8.728571738777553,
        8.729882195704617,
        8.731192694561157,
        8.732503235418298,
        8.733813818347162,
        8.735124443418874,
        8.736435110704557,
        8.737745820275336,
        8.739056572202333,
        8.740367366556672,
        8.741678203409476,
        8.74298908283187,
        8.744300004894976,
        8.745610969669922,
        8.746921977227824,
        8.748233027639813,
        8.74954412097701,
        8.750855257310537,
        8.75216643671152,
        8.753477659251079,
        8.754788925000343,
        8.75610023403043,
        8.757411586412468,
        8.75872298221758,
        8.760034421516888,
        8.761345904381518,
        8.762657430882589,
        8.76396900109123,
        8.76528061507856,
        8.766592272915705,
        8.767903974673791,
        8.769215720423936,
        8.770527510237269,
        8.771839344184912,
        8.77218242962967,
        8.773477372779675,
        8.774772341208378,
        8.776067334864749,
        8.77736235369775,
        8.778657397656353,
        8.779952466689524,
        8.78124756074623,
        8.782542679775435,
        8.783837823726113,
        8.785132992547226,
        8.786428186187743,
        8.78772340459663,
        8.789018647722855,
        8.790313915515386,
        8.791609207923191,
        8.792904524895231,
        8.794199866380481,
        8.795495232327905,
        8.796790622686471,
        8.798086037405144,
        8.799381476432895,
        8.800676939718686,
        8.801972427211489,
        8.803267938860268,
        8.804563474613992,
        8.80585903442163,
        8.807154618232145,
        8.808450225994505,
        8.809745857657681,
        8.811041513170638,
        8.81233719248234,
        8.81363289554176,
        8.814928622297861,
        8.816224372699612,
        8.817520146695978,
        8.81881594423593,
        8.820111765268432,
        8.821407609742453,
        8.822703477606959,
        8.823999368810918,
        8.825295283303298,
        8.826591221033064,
        8.827887181949185,
        8.829183166000627,
        8.830479173136359,
        8.831775203305344,
        8.833071256456556,
        8.834367332538957,
        8.835663431501516,
        8.8369595532932,
        8.838255697862975,
        8.839551865159812,
        8.840848055132673,
        8.842144267730529,
        8.843440502902345,
        8.84473676059709,
        8.846033040763729,
        8.847329343351234,
        8.848625668308566,
        8.849922015584697,
        8.85121838512859,
        8.852514776889215,
        8.85381119081554,
        8.855107626856531,
        8.856404084961154,
        8.857700565078378,
        8.85899706715717,
        8.860293591146494,
        8.861590136995323,
        8.86288670465262,
        8.864183294067354,
        8.86547990518849,
        8.866776537964999,
        8.868073192345847,
        8.869369868279996,
        8.870666565716421,
        8.871963284604085,
        8.873260024891955,
        8.874556786529,
        8.875853569464185,
        8.87715037364648,
        8.87844719902485,
        8.879744045548264,
        8.881040913165688,
        8.882337801826088,
        8.883634711478432,
        8.884931642071692,
        8.886228593554826,
        8.887525565876809,
        8.888822558986604,
        8.890119572833182,
        8.891416607365505,
        8.892713662532547,
        8.894010738283267,
        8.89530783456664,
        8.896604951331627,
        8.8979020885272,
        8.899199246102322,
        8.900496424005965,
        8.90179362218709,
        8.903090840594672,
        8.904388079177672,
        8.90568533788506,
        8.9069826166658,
        8.908279915468865,
        8.909577234243217,
        8.910874572937825,
        8.912171931501657,
        8.91346930988368,
        8.91476670803286,
        8.916064125898165,
        8.917361563428562,
        8.918659020573017,
        8.9199564972805,
        8.921253993499977,
        8.922551509180416,
        8.923849044270781,
        8.925146598720044,
        8.926444172477167,
        8.92774176549112,
        8.929039377710872,
        8.930337009085388,
        8.931634659563635,
        8.93293232909458,
        8.934230017627192,
        8.935527725110436,
        8.93682545149328,
        8.938123196724693,
        8.93942096075364,
        8.94071874352909,
        8.942016545000008,
        8.943314365115363,
        8.944612203824121,
        8.945910061075253,
        8.947207936817719,
        8.948505831000492,
        8.949803743572536,
        8.951101674482823,
        8.952399623680313,
        8.95369759111398,
        8.954995576732786,
        8.956293580485703,
        8.957591602321694,
        8.95888964218973,
        8.960187700038773,
        8.961485775817795,
        8.962783869475762,
        8.964081980961641,
        8.965380110224398,
        8.966678257213005,
        8.96797642187642,
        8.969274604163619,
        8.970572804023565,
        8.971871021405226,
        8.973169256257568,
        8.974467508529562,
        8.975765778170171,
        8.977064065128365,
        8.97836236935311,
        8.979660690793374,
        8.980959029398122,
        8.982257385116323,
        8.983555757896946,
        8.984854147688955,
        8.986152554441318,
        8.987450978103004,
        8.988749418622977,
        8.990047875950207,
        8.99134635003366,
        8.992644840822305,
        8.993943348265105,
        8.995241872311032,
        8.99654041290905,
        8.997838970008129,
        8.999137543557234,
        9.000436133505332,
        9.001734739801392,
        9.00303336239438,
        9.004332001233262,
        9.005630656267009,
        9.006929327444585,
        9.008228014714957,
        9.009526718027095,
        9.010825437329963,
        9.01212417257253,
        9.013422923703763,
        9.01472169067263,
        9.016020473428096,
        9.017319271919131,
        9.0186180860947,
        9.019916915903773,
        9.021215761295311,
        9.022514622218289,
        9.023813498621667,
        9.02511239045442,
        9.026411297665508,
        9.027710220203906,
        9.029009158018571,
        9.03030811105848,
        9.031607079272591,
        9.032906062609879,
        9.034205061019307,
        9.035504074449847,
        9.03680310285046,
        9.038102146170116,
        9.039401204357784,
        9.040700277362427,
        9.041999365133016,
        9.043298467618516,
        9.044597584767896,
        9.045896716530123,
        9.047195862854162,
        9.048495023688982,
        9.04979419898355,
        9.051093388686834,
        9.052392592747799,
        9.053691811115414,
        9.054991043738646,
        9.056290290566462,
        9.057589551547828,
        9.058888826631714,
        9.060188115767083,
        9.061487418902907,
        9.062786735988153,
        9.064086066971782,
        9.065385411802769,
        9.066684770430074,
        9.067984142802672,
        9.069283528869523,
        9.0705829285796,
        9.071882341881864,
        9.07318176872529,
        9.074481209058838,
        9.07578066283148,
        9.07708012999218,
        9.078379610489907,
        9.079679104273627,
        9.08097861129231,
        9.082278131494919,
        9.083577664830425,
        9.084877211247793,
        9.086176770695992,
        9.087476343123985,
        9.088775928480745,
        9.090075526715236,
        9.091375137776424,
        9.09267476161328,
        9.093974398174769,
        9.095274047409859,
        9.096573709267515,
        9.097873383696708,
        9.099173070646401,
        9.100472770065563,
        9.101772481903161,
        9.103072206108164,
        9.104371942629538,
        9.105671691416251,
        9.106971452417268,
        9.108271225581557,
        9.109571010858087,
        9.110870808195823,
        9.112170617543732,
        9.113470438850786,
        9.114770272065945,
        9.11607011713818,
        9.117369974016459,
        9.11866984264975,
        9.119969722987015,
        9.121269614977226,
        9.12256951856935,
        9.123869433712354,
        9.1251693603552,
        9.126469298446864,
        9.127769247936305,
        9.129069208772496,
        9.1303691809044,
        9.131669164280991,
        9.132969158851228,
        9.134269164564083,
        9.13556918136852,
        9.136869209213511,
        9.138169248048017,
        9.139469297821012,
        9.140769358481457,
        9.142069429978324,
        9.143369512260577,
        9.144669605277187,
        9.145969708977116,
        9.147269823309335,
        9.14856994822281,
        9.149870083666508,
        9.151170229589397,
        9.152470385940443,
        9.153770552668615,
        9.15507072972288,
        9.156370917052202,
        9.157671114605552,
        9.158971322331894,
        9.1602715401802,
        9.161571768099432,
        9.162872006038562,
        9.164172253946552,
        9.165472511772373,
        9.166772779464992,
        9.168073056973373,
        9.169373344246488,
        9.1706736412333,
        9.171973947882778,
        9.173274264143888,
        9.174574589965601,
        9.17587492529688,
        9.177175270086696,
        9.17847562428401,
        9.179775987837797,
        9.181076360697018,
        9.182376742810646,
        9.18367713412764,
        9.184977534596978,
        9.186277944167616,
        9.18757836278853,
        9.18887879040868,
        9.19017922697704,
        9.191479672442572,
        9.192780126754249,
        9.19408058986103,
        9.195381061711892,
        9.196681542255792,
        9.197982031441706,
        9.199282529218594,
        9.20058303553543,
        9.201883550341176,
        9.2031840735848,
        9.204484605215272,
        9.205785145181558,
        9.207085693432623,
        9.208386249917437,
        9.209686814584966,
        9.210987387384177,
        9.212287968264038,
        9.213588557173516,
        9.214889154061577,
        9.216189758877189,
        9.21749037156932,
        9.218790992086937,
        9.220091620379007,
        9.221392256394497,
        9.222692900082375,
        9.223993551391604,
        9.225294210271159,
        9.226594876670001,
        9.227895550537099,
        9.22919623182142,
        9.230496920471932,
        9.231797616437602,
        9.233098319667398,
        9.234399030110284,
        9.23569974771523,
        9.237000472431202,
        9.238301204207172,
        9.239601942992099,
        9.240902688734955,
        9.242203441384705,
        9.243504200890321,
        9.244804967200764,
        9.246105740265007,
        9.247406520032012,
        9.24870730645075,
        9.250008099470184,
        9.251308899039287,
        9.252609705107021,
        9.253910517622359,
        9.25521133653426,
        9.256512161791699,
        9.257812993343638,
        9.259113831139047,
        9.260414675126892,
        9.261715525256143,
        9.263016381475762,
        9.26431724373472,
        9.265618111981984,
        9.26691898616652,
        9.268219866237295,
        9.26952075214328,
        9.270821643833436,
        9.272122541256733,
        9.273423444362141,
        9.274724353098623,
        9.27602526741515,
        9.277326187260686,
        9.2786271125842,
        9.279928043334657,
        9.281228979461027,
        9.282529920912275,
        9.28383086763737,
        9.28513181958528,
        9.286432776704968,
        9.287733738945406,
        9.28903470625556,
        9.290335678584393,
        9.291636655880879,
        9.292937638093978,
        9.294238625172664,
        9.2955396170659,
        9.296840613722658,
        9.298141615091897,
        9.29944262112259,
        9.300743631763702,
        9.302044646964205,
        9.30334566667306,
        9.304646690839238,
        9.305947719411702,
        9.307248752339426,
        9.30854978957137,
        9.309850831056506,
        9.311151876743798,
        9.31245292658222,
        9.31375398052073,
        9.315055038508302,
        9.316356100493895,
        9.317657166426487,
        9.318958236255039,
        9.320259309928518,
        9.321560387395895,
        9.322861468606133,
        9.3241625535082,
        9.325463642051066,
        9.326764734183696,
        9.328065829855056,
        9.329366929014117,
        9.330668031609843,
        9.331969137591202,
        9.333270246907162,
        9.33457135950669,
        9.33587247533875,
        9.337173594352315,
        9.338474716496346,
        9.339775841719817,
        9.34107696997169,
        9.342378101200934,
        9.343679235356518,
        9.344980372387404,
        9.346281512242564,
        9.347582654870964,
        9.348883800221572,
        9.350184948243353,
        9.351486098885275,
        9.352787252096306,
        9.354088407825412,
        9.355389566021564,
        9.356690726633722,
        9.357991889610862,
        9.359293054901942,
        9.360594222455937,
        9.361895392221808,
        9.36319656414853,
        9.364497738185062,
        9.365798914280376,
        9.367100092383437,
        9.368401272443215,
        9.369702454408674,
        9.371003638228784,
        9.372304823852508,
        9.373606011228818,
        9.374907200306678,
        9.376208391035057,
        9.377509583362922,
        9.378810777239242,
        9.380111972612976,
        9.381413169433102,
        9.382714367648582,
        9.384015567208383,
        9.385316768061474,
        9.38661797015682,
        9.38791917344339,
        9.38922037787015,
        9.39052158338607,
        9.391822789940111,
        9.393123997481247,
        9.394425205958441,
        9.395726415320663,
        9.397027625516879,
        9.398328836496056,
        9.39963004820716,
        9.40093126059916,
        9.402232473621021,
        9.403533687221715,
        9.404834901350204,
        9.406136115955459,
        9.407437330986443,
        9.40873854639213,
        9.410039762121478,
        9.411340978123462,
        9.412642194347045,
        9.413943410741199,
        9.415244627254884,
        9.416545843837074,
        9.417847060436731,
        9.419148277002826,
        9.420449493484323,
        9.421750709830192,
        9.423051925989398,
        9.424353141910911,
        9.425654357543696,
        9.426955572836722,
        9.428256787738952,
        9.429558002199357,
        9.430859216166905,
        9.43216042959056,
        9.433461642419292,
        9.434762854602067,
        9.436064066087852,
        9.437365276825613,
        9.43866648676432,
        9.439967695852939,
        9.441268904040438,
        9.442570111275781,
        9.44387131750794,
        9.44517252268588,
        9.446473726758565,
        9.447774929674967,
        9.44907613138405,
        9.450377331834785,
        9.451678530976135,
        9.452979728757068,
        9.454280925126556,
        9.455582120033558,
        9.45688331342705,
        9.45818450525599,
        9.459485695469354,
        9.460786884016104,
        9.462088070845208,
        9.463389255905634,
        9.464690439146349,
        9.46599162051632,
        9.467292799964516,
        9.4685939774399,
        9.469895152891445,
        9.471196326268112,
        9.472497497518873,
        9.47379866659269,
        9.47509983343854,
        9.476400998005378,
        9.477702160242181,
        9.47900332009791,
        9.480304477521535,
        9.48160563246202,
        9.48290678486834,
        9.484207934689454,
        9.485509081874334,
        9.486810226371944,
        9.488111368131253,
        9.489412507101228,
        9.490713643230839,
        9.492014776469047,
        9.493315906764824,
        9.494617034067137,
        9.495918158324951,
        9.497219279487233,
        9.498520397502952,
        9.499821512321075,
        9.50112262389057,
        9.502423732160402,
        9.503724837079538,
        9.50502593859695,
        9.506327036661599,
        9.507628131222456,
        9.508929222228486,
        9.510230309628659,
        9.51153139337194,
        9.512832473407297,
        9.514133549683695,
        9.515434622150106,
        9.516735690755493,
        9.518036755448826,
        9.51933781617907,
        9.520638872895194,
        9.521939925546162,
        9.523240974080947,
        9.524542018448509,
        9.525843058597822,
        9.527144094477848,
        9.528445126037559,
        9.529746153225917,
        9.531047175991894,
        9.532348194284452,
        9.533649208052564,
        9.534950217245193,
        9.536251221811309,
        9.537552221699876,
        9.538853216859865,
        9.540154207240239,
        9.541455192789972,
        9.54275617345802,
        9.544057149193362,
        9.545358119944959,
        9.54665908566178,
        9.54796004629279,
        9.54926100178696,
        9.550561952093252,
        9.551862897160639,
        9.553163836938083,
        9.554464771374555,
        9.55576570041902,
        9.557066624020448,
        9.558367542127804,
        9.559668454690055,
        9.560969361656166,
        9.56227026297511,
        9.56357115859585,
        9.564872048467356,
        9.566172932538592,
        9.567473810758528,
        9.568774683076128,
        9.570075549440364,
        9.571376409800198,
        9.5726772641046,
        9.573978112302537,
        9.575278954342977,
        9.576579790174886,
        9.57788061974723,
        9.57918144300898,
        9.580482259909099,
        9.581783070396558,
        9.58308387442032,
        9.584384671929357,
        9.58568546287263,
        9.586986247199114,
        9.58828702485777,
        9.58958779579757,
        9.590888559967475,
        9.592189317316459,
        9.593490067793484,
        9.59479081134752,
        9.596091547927532,
        9.597392277482493,
        9.598692999961361,
        9.599993715313111,
        9.601294423486706,
        9.602595124431115,
        9.603895818095305,
        9.605196504428243,
        9.606497183378895,
        9.60779785489623,
        9.609098518929216,
        9.610399175426817,
        9.611699824338002,
        9.61300046561174,
        9.614301099196995,
        9.615601725042737,
        9.61690234309793,
        9.618202953311545,
        9.619503555632546,
        9.620804150009903,
        9.62210473639258,
        9.623405314729547,
        9.62470588496977,
        9.626006447062217,
        9.627307000955852,
        9.628607546599646,
        9.629908083942567,
        9.631208612933579,
        9.632509133521651,
        9.633809645655749,
        9.635110149284841,
        9.636410644357893,
        9.637711130823874,
        9.639011608631751,
        9.640312077730492,
        9.64161253806906,
        9.642912989596427,
        9.644213432261557,
        9.64551386601342,
        9.646814290800982,
        9.64811470657321,
        9.649415113279069,
        9.650715510867531,
        9.652015899287559,
        9.653316278488123,
        9.654616648418187,
        9.655917009026723,
        9.657217360262694,
        9.65851770207507,
        9.659818034412815,
        9.6611183572249,
        9.662418670460289,
        9.663718974067951,
        9.665019267996854,
        9.666319552195962,
        9.667619826614246,
        9.66892009120067,
        9.670220345904202,
        9.671520590673811,
        9.672820825458464,
        9.674121050207127,
        9.675421264868767,
        9.676721469392351,
        9.678021663726847,
        9.679321847821223,
        9.680622021624444,
        9.68192218508548,
        9.683222338153296,
        9.684522480776861,
        9.68582261290514,
        9.687122734487101,
        9.688422845471713,
        9.68972294580794,
        9.691023035444754,
        9.692323114331115,
        9.693623182416,
        9.694923239648366,
        9.696223285977187,
        9.697523321351428,
        9.698823345720056,
        9.700123359032037,
        9.701423361236344,
        9.702723352281936,
        9.704023332117785,
        9.705323300692857,
        9.706623257956123,
        9.707923203856543,
        9.70922313834309,
        9.710523061364729,
        9.711822972870428,
        9.713122872809151,
        9.71442276112987,
        9.715722637781548,
        9.717022502713156,
        9.71832235587366,
        9.719622197212026,
        9.720922026677222,
        9.722221844218215,
        9.723521649783974,
        9.724821443323464,
        9.72612122478565,
        9.727420994119505,
        9.728720751273991,
        9.73002049619808,
        9.731320228840735,
        9.732619949150926,
        9.73391965707762,
        9.73521935256978,
        9.736519035576379,
        9.73781870604638,
        9.739118363928753,
        9.740418009172465,
        9.741717641726481,
        9.74301726153977,
        9.744316868561299,
        9.745616462740033,
        9.746916044024944,
        9.748215612364994,
        9.749515167709156,
        9.75081471000639,
        9.752114239205671,
        9.75341375525596,
        9.754713258106227,
        9.756012747705437,
        9.757312224002561,
        9.758611686946562,
        9.759911136486412,
        9.761210572571075,
        9.76250999514952,
        9.76380940417071,
        9.765108799583617,
        9.766408181337205,
        9.767707549380443,
        9.769006903662298,
        9.770306244131739,
        9.771605570737728,
        9.772904883429238,
        9.77420418215523,
        9.775503466864679,
        9.776802737506546,
        9.778101994029802,
        9.779401236383412,
        9.780700464516343,
        9.781999678377563,
        9.78329887791604,
        9.784598063080741,
        9.78589723382063,
        9.78719639008468,
        9.788495531821853,
        9.78979465898112,
        9.791093771511445,
        9.792392869361796,
        9.793691952481142,
        9.794991020818449,
        9.796290074322684,
        9.797589112942815,
        9.79888813662781,
        9.800187145326632,
        9.80148613898825,
        9.802785117561637,
        9.804084080995754,
        9.80538302923957,
        9.806681962242049,
        9.807980879952165,
        9.809279782318878,
        9.810578669291164,
        9.81187754081798,
        9.813176396848302,
        9.81447523733109,
        9.815774062215315,
        9.817072871449945,
        9.818371664983946,
        9.819670442766283,
        9.820969204745928,
        9.822267950871844,
        9.823566681093002,
        9.824865395358362,
        9.826164093616901,
        9.82746277581758,
        9.828761441909366,
        9.83006009184123,
        9.831358725562136,
        9.832657343021053,
        9.833955944166949,
        9.835254528948788,
        9.836553097315537,
        9.837851649216168,
        9.839150184599644,
        9.840448703414934,
        9.841747205611005,
        9.843045691136822,
        9.844344159941357,
        9.845642611973574,
        9.84694104718244,
        9.848239465516922,
        9.84953786692599,
        9.850836251358608,
        9.852134618763744,
        9.853432969090367,
        9.854731302287442,
        9.856029618303939,
        9.85732791708882,
        9.858626198591057,
        9.859924462759617,
        9.861222709543465,
        9.862520938891569,
        9.863819150752898,
        9.865117345076415,
        9.866415521811092,
        9.867713680905892,
        9.869011822309787,
        9.870309945971737,
        9.87160805184072,
        9.872906139865691,
        9.874204209995629,
        9.87550226217949,
        9.876800296366248,
        9.87809831250487,
        9.87939631054432,
        9.880694290433569,
        9.881992252121584,
        9.883290195557326,
        9.884588120689772,
        9.88588602746788,
        9.887183915840621,
        9.888481785756966,
        9.889779637165876,
        9.89107747001632,
        9.89237528425727,
        9.893673079837686,
        9.89497085670654,
        9.896268614812797,
        9.897566354105425,
        9.89886407453339,
        9.900161776045664,
        9.901459458591207,
        9.902757122118992,
        9.904054766577982,
        9.905352391917148,
        9.906649998085456,
        9.90794758503187,
        9.909245152705363,
        9.910542701054897,
        9.91184023002944,
        9.913137739577962,
        9.914435229649431,
        9.915732700192809,
        9.917030151157068,
        9.918327582491171,
        9.91962499414409,
        9.920922386064788,
        9.922219758202237,
        9.923517110505397,
        9.924814442923244,
        9.926111755404737,
        9.927409047898848,
        9.928706320354543,
        9.930003572720791,
        9.931300804946554,
        9.932598016980805,
        9.933895208772508,
        9.935192380270633,
        9.936489531424142,
        9.93778666218201,
        9.939083772493197,
        9.940380862306673,
        9.941677931571405,
        9.942974980236361,
        9.944272008250508,
        9.945569015562812,
        9.946866002122242,
        9.948162967877764,
        9.949459912778345,
        9.950756836772953,
        9.952053739810554,
        9.953350621840118,
        9.954647482810609,
        9.955944322670994,
        9.957241141370245,
        9.958537938857326,
        9.959834715081202,
        9.961131469990843,
        9.962428203535215,
        9.963724915663288,
        9.965021606324026,
        9.966318275466396,
        9.967614923039367,
        9.968911548991906,
        9.970208153272981,
        9.971504735831555,
        9.972801296616602,
        9.974097835577084,
        9.97539435266197,
        9.976690847820226,
        9.977987321000823,
        9.979283772152721,
        9.980580201224896,
        9.981876608166306,
        9.983172992925928,
        9.98446935545272,
        9.985765695695656,
        9.987062013603701,
        9.988358309125822,
        9.989654582210983,
        9.990950832808158,
        9.992247060866308,
        9.993543266334404,
        9.994839449161411,
        9.9961356092963,
        9.997431746688031,
        9.998727861285579,
        10.000023953037905,
        10.00132002189398,
        10.002616067802773,
        10.003912090713245,
        10.005208090574367,
        10.006504067335108,
        10.007800020944432,
        10.009095951351306,
        10.0103918585047,
        10.01168774235358,
        10.012983602846912,
        10.014279439933665,
        10.015575253562805,
        10.016871043683299,
        10.018166810244114,
        10.01946255319422,
        10.020758272482581,
        10.022053968058167,
        10.023349639869942,
        10.024645287866875,
        10.025940911997933,
        10.027236512212085,
        10.028532088458295,
        10.029827640685529,
        10.031123168842761,
        10.032418672878952,
        10.033714152743073,
        10.035009608384089,
        10.036305039750967,
        10.037600446792677,
        10.038895829458184,
        10.040191187696452,
        10.041486521456454,
        10.042781830687154,
        10.044077115337522,
        10.045372375356521,
        10.046667610693124,
        10.04796282129629,
        10.049258007114993,
        10.050553168098197,
        10.051848304194873,
        10.053143415353984,
        10.0544385015245,
        10.055733562655384,
        10.057028598695608,
        10.058323609594138,
        10.05961859529994,
        10.060913555761982,
        10.06220849092923,
        10.063503400750653,
        10.064798285175218,
        10.06609314415189,
        10.06738797762964,
        10.068682785557433,
        10.069977567884235,
        10.071272324559015,
        10.07256705553074,
        10.073861760748377,
        10.075156440160892,
        10.076451093717257,
        10.077745721366432,
        10.079040323057388,
        10.080334898739093,
        10.081629448360513,
        10.082923971870615,
        10.084218469218367,
        10.085512940352736,
        10.08680738522269,
        10.088101803777192,
        10.089396195965216,
        10.090690561735723,
        10.091984901037687,
        10.093279213820068,
        10.094573500031839,
        10.09586775962196,
        10.097161992539409,
        10.09845619873314,
        10.099750378152134,
        10.101044530745344,
        10.102338656461752,
        10.103632755250313,
        10.104926827060002,
        10.106220871839781,
        10.107514889538622,
        10.108808880105487,
        10.110102843489349,
        10.111396779639168,
        10.112690688503921,
        10.113984570032564,
        10.115278424174072,
        10.11657225087741,
        10.117866050091546,
        10.119159821765445,
        10.120453565848077,
        10.121747282288407,
        10.123040971035403,
        10.124334632038032,
        10.125628265245261,
        10.12692187060606,
        10.128215448069392,
        10.129508997584226,
        10.130267659567687,
        10.131568358752613,
        10.132869055281645,
        10.1341697491594,
        10.13547044039049,
        10.13677112897953,
        10.13807181493114,
        10.139372498249932,
        10.140673178940519,
        10.141973857007521,
        10.14327453245555,
        10.144575205289222,
        10.14587587551315,
        10.147176543131954,
        10.148477208150247,
        10.149777870572642,
        10.151078530403757,
        10.152379187648206,
        10.153679842310606,
        10.154980494395568,
        10.156281143907712,
        10.15758179085165,
        10.158882435231998,
        10.160183077053372,
        10.161483716320387,
        10.162784353037658,
        10.164084987209801,
        10.165385618841428,
        10.16668624793716,
        10.167986874501604,
        10.169287498539385,
        10.17058812005511,
        10.171888739053399,
        10.173189355538865,
        10.174489969516124,
        10.17579058098979,
        10.17709118996448,
        10.178391796444808,
        10.17969240043539,
        10.180993001940843,
        10.182293600965778,
        10.183594197514813,
        10.18489479159256,
        10.18619538320364,
        10.187495972352664,
        10.188796559044247,
        10.190097143283007,
        10.191397725073557,
        10.192698304420512,
        10.19399888132849,
        10.195299455802102,
        10.196600027845966,
        10.197900597464697,
        10.19920116466291,
        10.20050172944522,
        10.201802291816241,
        10.20310285178059,
        10.204403409342882,
        10.205703964507734,
        10.207004517279756,
        10.208305067663568,
        10.209605615663783,
        10.210906161285017,
        10.212206704531884,
        10.213507245409001,
        10.214807783920982,
        10.216108320072443,
        10.217408853867997,
        10.218709385312264,
        10.220009914409854,
        10.221310441165386,
        10.222610965583472,
        10.22391148766873,
        10.225212007425773,
        10.226512524859217,
        10.227813039973679,
        10.229113552773772,
        10.230414063264112,
        10.231714571449313,
        10.233015077333993,
        10.234315580922765,
        10.235616082220245,
        10.236916581231046,
        10.238217077959787,
        10.239517572411081,
        10.240818064589543,
        10.24211855449979,
        10.243419042146435,
        10.244719527534095,
        10.246020010667383,
        10.247320491550916,
        10.24862097018931,
        10.249921446587178,
        10.251221920749137,
        10.2525223926798,
        10.253822862383785,
        10.255123329865706,
        10.256423795130177,
        10.257724258181815,
        10.259024719025234,
        10.26032517766505,
        10.26162563410588,
        10.262926088352334,
        10.264226540409032,
        10.265526990280586,
        10.266827437971614,
        10.26812788348673,
        10.26942832683055,
        10.270728768007686,
        10.272029207022758,
        10.273329643880377,
        10.274630078585162,
        10.275930511141725,
        10.277230941554683,
        10.278531369828649,
        10.27983179596824,
        10.281132219978073,
        10.28243264186276,
        10.283733061626918,
        10.285033479275162,
        10.286333894812108,
        10.287634308242367,
        10.28893471957056,
        10.2902351288013,
        10.291535535939198,
        10.292835940988876,
        10.294136343954946,
        10.295436744842023,
        10.296737143654722,
        10.29803754039766,
        10.299337935075451,
        10.30063832769271,
        10.301938718254052,
        10.303239106764092,
        10.304539493227447,
        10.30583987764873,
        10.307140260032558,
        10.308440640383546,
        10.309741018706308,
        10.31104139500546,
        10.312341769285617,
        10.313642141551394,
        10.314942511807407,
        10.316242880058272,
        10.317543246308603,
        10.318843610563013,
        10.32014397282612,
        10.321444333102539,
        10.322744691396885,
        10.324045047713772,
        10.325345402057819,
        10.326645754433635,
        10.327946104845841,
        10.32924645329905,
        10.330546799797876,
        10.331847144346934,
        10.333147486950843,
        10.334447827614214,
        10.335748166341665,
        10.337048503137808,
        10.338348838007263,
        10.339649170954642,
        10.340949501984559,
        10.342249831101633,
        10.343550158310476,
        10.344850483615705,
        10.346150807021935,
        10.34745112853378,
        10.348751448155856,
        10.350051765892779,
        10.351352081749162,
        10.352652395729622,
        10.353952707838776,
        10.355253018081235,
        10.356553326461617,
        10.357853632984536,
        10.359153937654607,
        10.360454240476447,
        10.36175454145467,
        10.363054840593891,
        10.364355137898727,
        10.36565543337379,
        10.366955727023697,
        10.368256018853064,
        10.369556308866505,
        10.370856597068636,
        10.372156883464072,
        10.373457168057426,
        10.374757450853318,
        10.376057731856358,
        10.377358011071165,
        10.378658288502352,
        10.379958564154537,
        10.381258838032332,
        10.382559110140352,
        10.383859380483216,
        10.385159649065535,
        10.386459915891928,
        10.387760180967009,
        10.38906044429539,
        10.39036070588169,
        10.391660965730523,
        10.392961223846504,
        10.394261480234247,
        10.39556173489837,
        10.396861987843486,
        10.398162239074212,
        10.399462488595162,
        10.400762736410952,
        10.402062982526196,
        10.40336322694551,
        10.404663469673508,
        10.405963710714808,
        10.407263950074022,
        10.408564187755767,
        10.409864423764658,
        10.41116465810531,
        10.412464890782339,
        10.41376512180036,
        10.415065351163987,
        10.416365578877835,
        10.417665804946521,
        10.41896602937466,
        10.420266252166865,
        10.421566473327754,
        10.422866692861941,
        10.42416691077404,
        10.42546712706867,
        10.426767341750441,
        10.428067554823972,
        10.429367766293877,
        10.430667976164772,
        10.43196818444127,
        10.433268391127989,
        10.434568596229541,
        10.435868799750544,
        10.437169001695613,
        10.438469202069363,
        10.439769400876408,
        10.441069598121363,
        10.442369793808846,
        10.44366998794347,
        10.444970180529848,
        10.4462703715726,
        10.44757056107634,
        10.44887074904568,
        10.45017093548524,
        10.45147112039963,
        10.452771303793469,
        10.45407148567137,
        10.455371666037951,
        10.456671844897825,
        10.457972022255607,
        10.459272198115912,
        10.460572372483357,
        10.461872545362557,
        10.463172716758127,
        10.464472886674681,
        10.465773055116834,
        10.467073222089203,
        10.468373387596403,
        10.469673551643048,
        10.470973714233754,
        10.472273875373135,
        10.473574035065807,
        10.474874193316387,
        10.476174350129488,
        10.477474505509726,
        10.478774659461715,
        10.480074811990072,
        10.481374963099412,
        10.482675112794348,
        10.483975261079499,
        10.485275407959477,
        10.486575553438898,
        10.487875697522378,
        10.489175840214532,
        10.490475981519975,
        10.491776121443321,
        10.493076259989188,
        10.494376397162188,
        10.49567653296694,
        10.496976667408054,
        10.49827680049015,
        10.499576932217842,
        10.500877062595743,
        10.502177191628471,
        10.50347731932064,
        10.504777445676863,
        10.506077570701759,
        10.507377694399942,
        10.508677816776027,
        10.50997793783463,
        10.511278057580364,
        10.512578176017845,
        10.51387829315169,
        10.515178408986513,
        10.516478523526928,
        10.517778636777551,
        10.519078748742999,
        10.520378859427886,
        10.521678968836826,
        10.522979076974435,
        10.524279183845328,
        10.525579289454122,
        10.52687939380543,
        10.528179496903869,
        10.529479598754053,
        10.530779699360597,
        10.532079798728116,
        10.533379896861227,
        10.534679993764543,
        10.535980089442681,
        10.537280183900256,
        10.538580277141882,
        10.539880369172174,
        10.54118045999575,
        10.542480549617222,
        10.543780638041207,
        10.54508072527232,
        10.546380811315176,
        10.54768089617439,
        10.548980979854578,
        10.550281062360353,
        10.551581143696334,
        10.552881223867132,
        10.554181302877366,
        10.555481380731647,
        10.556781457434596,
        10.558081532990823,
        10.559381607404944,
        10.560681680681578,
        10.561981752825336,
        10.563281823840834,
        10.564581893732688,
        10.565881962505514,
        10.567182030163927,
        10.56848209671254,
        10.56978216215597,
        10.571082226498833,
        10.572382289745743,
        10.573682351901315,
        10.574982412970163,
        10.576282472956906,
        10.577582531866158,
        10.57888258970253,
        10.580182646470643,
        10.581482702175109,
        10.582782756820544,
        10.584082810411562,
        10.58538286295278,
        10.586682914448811,
        10.587982964904274,
        10.589283014323781,
        10.590583062711948,
        10.591883110073391,
        10.593183156412724,
        10.594483201734564,
        10.595783246043524,
        10.59708328934422,
        10.598383331641267,
        10.599683372939282,
        10.600983413242878,
        10.60228345255667,
        10.603583490885274,
        10.604883528233307,
        10.606183564605383,
        10.607483600006116,
        10.608783634440123,
        10.610083667912017,
        10.611383700426414,
        10.61268373198793,
        10.613983762601181,
        10.61528379227078,
        10.616583821001345,
        10.617883848797488,
        10.619183875663827,
        10.620483901604976,
        10.621783926625548,
        10.623083950730162,
        10.62438397392343,
        10.625683996209972,
        10.626984017594397,
        10.628284038081325,
        10.62958405767537,
        10.630884076381145,
        10.632184094203268,
        10.633484111146352,
        10.634784127215013,
        10.636084142413868,
        10.63738415674753,
        10.638684170220614,
        10.639984182837738,
        10.641284194603514,
        10.642584205522558,
        10.643884215599487,
        10.645184224838914,
        10.646484233245456,
        10.647784240823727,
        10.649084247578344,
        10.650384253513918,
        10.651684258635068,
        10.65298426294641,
        10.654284266452557,
        10.655584269158123,
        10.656884271067726,
        10.658184272185979,
        10.6594842725175,
        10.6607842720669,
        10.662084270838799,
        10.66338426883781,
        10.664684266068546,
        10.665984262535625,
        10.667284258243663,
        10.668584253197272,
        10.66988424740107,
        10.67118424085967,
        10.67248423357769,
        10.673784225559743,
        10.675084216810445,
        10.67638420733441,
        10.677684197136255,
        10.678984186220594,
        10.680284174592044,
        10.681584162255218,
        10.68288414921473,
        10.684184135475201,
        10.68548412104124,
        10.686784105917464,
        10.688084090108491,
        10.689384073618934,
        10.690684056453406,
        10.691984038616528,
        10.693284020112909,
        10.694584000947168,
        10.695883981123918,
        10.697183960647777,
        10.698483939523358,
        10.699783917755278,
        10.70108389534815,
        10.702383872306589,
        10.703683848635212,
        10.704983824338635,
        10.70628379942147,
        10.707583773888336,
        10.708883747743844,
        10.710183720992614,
        10.711483693639256,
        10.71278366568839,
        10.714083637144627,
        10.715383608012587,
        10.71668357829688,
        10.717983548002126,
        10.719283517132936,
        10.720583485693929,
        10.721883453689717,
        10.723183421124917,
        10.724483388004144,
        10.725783354332012,
        10.727083320113138,
        10.728383285352137,
        10.729683250053624,
        10.730983214222212,
        10.732283177862518,
        10.733583140979158,
        10.734883103576747,
        10.7361830656599,
        10.737483027233232,
        10.738782988301356,
        10.74008294886889,
        10.74138290894045,
        10.74268286852065,
        10.743982827614103,
        10.745282786225427,
        10.746582744359236,
        10.747882702020146,
        10.74918265921277,
        10.750482615941728,
        10.751782572211631,
        10.753082528027095,
        10.754382483392737,
        10.755682438313169,
        10.75698239279301,
        10.758282346836872,
        10.75958230044937,
        10.760882253635122,
        10.762182206398743,
        10.763482158744846,
        10.764782110678047,
        10.766082062202962,
        10.767382013324205,
        10.768681964046394,
        10.76998191437414,
        10.771281864312062,
        10.772581813864772,
        10.773881763036888,
        10.775181711833023,
        10.776481660257794,
        10.777781608315815,
        10.779081556011702,
        10.78038150335007,
        10.781681450335533,
        10.782981396972708,
        10.784281343266208,
        10.785581289220652,
        10.786881234840653,
        10.788181180130824,
        10.789481125095783,
        10.790781069740145,
        10.792081014068524,
        10.793380958085537,
        10.794680901795797,
        10.795980845203921,
        10.797280788314524,
        10.798580731132219,
        10.799880673661626,
        10.801180615907354,
        10.802480557874024,
        10.803780499566248,
        10.80508044098864,
        10.806380382145818,
        10.807680323042398,
        10.808980263682992,
        10.810280204072216,
        10.811580144214686,
        10.812880084115017,
        10.814180023777826,
        10.815479963207725,
        10.816779902409332,
        10.81807984138726,
        10.819379780146125,
        10.820679718690542,
        10.821979657025127,
        10.823279595154496,
        10.824579533083261,
        10.82587947081604,
        10.827179408357448,
        10.828479345712099,
        10.829779282884608,
        10.831079219879593,
        10.832379156701666,
        10.833679093355443,
        10.83497902984554,
        10.836278966176573,
        10.837578902353155,
        10.838878838379902,
        10.84017877426143,
        10.841478710002354,
        10.84277864560729,
        10.844078581080849,
        10.845378516427651,
        10.846678451652311,
        10.84797838675944,
        10.849278321753658,
        10.850578256639578,
        10.851878191421815,
        10.853178126104984,
        10.854478060693701,
        10.855777995192582,
        10.857077929606241,
        10.858377863939292,
        10.859677798196355,
        10.86097773238204,
        10.862277666500962,
        10.86357760055774,
        10.864877534556989,
        10.86617746850332,
        10.867477402401352,
        10.8687773362557,
        10.870077270070977,
        10.8713772038518,
        10.872677137602784,
        10.873977071328545,
        10.875277005033695,
        10.876576938722852,
        10.877876872400632,
        10.879176806071648,
        10.880476739740516,
        10.881776673411851,
        10.883076607090269,
        10.884376540780384,
        10.88567647448681,
        10.886976408214167,
        10.888276341967067,
        10.889576275750125,
        10.890876209567956,
        10.892176143425177,
        10.893476077326401,
        10.894776011276246,
        10.896075945279325,
        10.897375879340252,
        10.898675813463646,
        10.89997574765412,
        10.901275681916289,
        10.902575616254769,
        10.903875550674172,
        10.90517548517912,
        10.906475419774221,
        10.907775354464096,
        10.909075289253357,
        10.910375224146618,
        10.911675159148498,
        10.91297509426361,
        10.914275029496569,
        10.915574964851992,
        10.916874900334491,
        10.918174835948683,
        10.919474771699186,
        10.92077470759061,
        10.922074643627573,
        10.923374579814691,
        10.924674516156578,
        10.925974452657849,
        10.92727438932312,
        10.928574326157005,
        10.929874263164121,
        10.931174200349082,
        10.932474137716502,
        10.933774075271,
        10.935074013017188,
        10.93637395095968,
        10.937673889103095,
        10.938973827452047,
        10.94027376601115,
        10.941573704785021,
        10.942873643778274,
        10.944173582995523,
        10.945473522441384,
        10.946773462120474,
        10.948073402037407,
        10.949373342196798,
        10.950673282603262,
        10.951973223261415,
        10.953273164175872,
        10.954573105351248,
        10.955873046792158,
        10.957172988503217,
        10.958472930489041,
        10.959772872754245,
        10.961072815303444,
        10.962372758141253,
        10.963672701272287,
        10.964972644701163,
        10.966272588432494,
        10.967572532470896,
        10.968872476820986,
        10.970172421487375,
        10.971472366474682,
        10.972772311787521,
        10.974072257430507,
        10.975372203408256,
        10.976672149725381,
        10.9779720963865,
        10.979272043396227,
        10.980571990759177,
        10.981871938479966,
        10.983171886563207,
        10.984471835013519,
        10.985771783835514,
        10.987071733033808,
        10.988371682613016,
        10.989671632577755,
        10.990971582932637,
        10.992271533682281,
        10.9935714848313,
        10.99487143638431,
        10.996171388345925,
        10.99747134072076,
        10.998771293513432,
        11.000071246728556,
        11.001371200370745,
        11.002671154444617,
        11.003971108954786,
        11.005271063905868,
        11.006571019302475,
        11.007870975149226,
        11.009170931450734,
        11.010470888211618,
        11.011770845436487,
        11.013070803129962,
        11.014370761296654,
        11.01567071994118,
        11.016970679068155,
        11.018270638682194,
        11.019570598787913,
        11.020870559389929,
        11.022170520492852,
        11.0234704821013,
        11.02477044421989,
        11.026070406853234,
        11.02737037000595,
        11.028670333682653,
        11.029970297887955,
        11.031270262626474,
        11.032570227902825,
        11.033870193721624,
        11.035170160087484,
        11.03647012700502,
        11.03777009447885,
        11.039070062513586,
        11.040370031113847,
        11.041670000284245,
        11.042969970029397,
        11.044269940353917,
        11.04556991126242,
        11.046869882759523,
        11.04816985484984,
        11.049469827537987,
        11.050769800828578,
        11.052069774726228,
        11.053369749235554,
        11.054669724361169,
        11.05596970010769,
        11.05726967647973,
        11.058569653481909,
        11.059869631118838,
        11.061169609395133,
        11.062469588315409,
        11.063769567884282,
        11.065069548106367,
        11.066369528986279,
        11.067669510528633,
        11.068969492738045,
        11.07026947561913,
        11.071569459176501,
        11.072869443414778,
        11.074169428338571,
        11.075469413952499,
        11.076769400261174,
        11.078069387269215,
        11.079369374981235,
        11.08066936340185,
        11.081969352535673,
        11.08326934238732,
        11.084569332961408,
        11.085869324262552,
        11.087169316295366,
        11.088469309064466,
        11.089769302574467,
        11.091069296829984,
        11.092369291835631,
        11.093669287596025,
        11.094969284115782,
        11.096269281399515,
        11.09756927945184,
        11.098869278277373,
        11.100169277880727,
        11.10146927826652,
        11.102769279439366,
        11.10406928140388,
        11.105369284164679,
        11.106669287726374,
        11.107969292093584,
        11.109269297270924,
        11.110569303263006,
        11.111869310074448,
        11.113169317709866,
        11.114469326173873,
        11.115769335471086,
        11.117069345606119,
        11.118369356583587,
        11.119669368408106,
        11.12096938108429,
        11.122269394616756,
        11.123569409010118,
        11.124869424268992,
        11.126169440397993,
        11.127469457401734,
        11.128769475284834,
        11.130069494051906,
        11.131369513707567,
        11.13266953425643,
        11.133969555703109,
        11.135269578052222,
        11.136569601308384,
        11.13786962547621,
        11.139169650560316,
        11.140469676565314,
        11.141769703495822,
        11.143069731356455,
        11.144369760151827,
        11.145669789886554,
        11.146969820565252,
        11.148269852192534,
        11.149569884773017,
        11.150869918311317,
        11.152169952812047,
        11.153469988279822,
        11.15477002471926,
        11.156070062134974,
        11.15737010053158,
        11.158670139913692,
        11.159970180285928,
        11.1612702216529,
        11.162570264019225,
        11.16387030738952,
        11.165170351768396,
        11.16647039716047,
        11.167770443570358,
        11.169070491002675,
        11.170370539462034,
        11.171670588953054,
        11.172970639480349,
        11.174270691048532,
        11.17557074366222,
        11.176870797326028,
        11.178170852044572,
        11.179470907822466,
        11.180770964664326,
        11.182071022574766,
        11.183371081558402,
        11.18467114161985,
        11.185971202763724,
        11.187271264994639,
        11.188571328317211,
        11.189871392736055,
        11.191171458255788,
        11.192471524881022,
        11.193771592616374,
        11.195071661466459,
        11.196371731435892,
        11.197671802529289,
        11.198971874751264,
        11.200271948106431,
        11.201572022599409,
        11.202872098234812,
        11.204172175017252,
        11.205472252951349,
        11.206772332041714,
        11.208072412292964,
        11.209372493709715,
        11.21067257629658,
        11.211972660058178,
        11.21327274499912,
        11.214572831124025,
        11.215872918437505,
        11.217173006944176,
        11.218473096648655,
        11.219773187555555,
        11.221073279669492,
        11.222373372995081,
        11.223673467536939,
        11.224973563299677,
        11.226273660287916,
        11.227573758506267,
        11.228873857959346,
        11.230173958651768,
        11.231474060588152,
        11.232774163773106,
        11.234074268211252,
        11.2353743739072,
        11.23667448086557,
        11.237974589090975,
        11.239274698588028,
        11.240574809361346,
        11.241874921415546,
        11.243175034755241,
        11.244475149385048,
        11.24577526530958,
        11.247075382533454,
        11.248375501061284,
        11.249675620897687,
        11.250975742047276,
        11.252275864514667,
        11.253575988304474,
        11.254876113421316,
        11.256176239869804,
        11.257476367654556,
        11.258776496780186,
        11.26007662725131,
        11.261376759072542,
        11.262676892248498,
        11.263977026783794,
        11.265277162683043,
        11.26657729995086,
        11.267877438591865,
        11.269177578610668,
        11.270477720011886,
        11.271777862800135,
        11.273078006980029,
        11.274378152556185,
        11.275678299533215,
        11.276978447915738,
        11.278278597708365,
        11.279578748915716,
        11.280878901542403,
        11.28217905559304,
        11.283479211072247,
        11.284779367984635,
        11.286079526334822,
        11.287379686127421,
        11.288679847367048,
        11.289980010058319,
        11.291280174205847,
        11.292580339814249,
        11.29388050688814,
        11.295180675432135,
        11.296480845450851,
        11.2977810169489,
        11.299081189930899,
        11.300381364401463,
        11.301681540365207,
        11.302981717826746,
        11.304281896790696,
        11.305582077261672,
        11.306882259244288,
        11.308182442743162,
        11.309482627762906,
        11.310782814308137,
        11.312083002383469,
        11.31338319199352,
        11.314683383142901,
        11.315983575836231,
        11.317283770078124,
        11.318583965873193,
        11.319884163226057,
        11.321184362141327,
        11.322484562623623,
        11.323784764677557,
        11.325084968307745,
        11.326385173518801,
        11.327685380315343,
        11.328985588701984,
        11.33028579868334,
        11.331586010264024,
        11.332886223448655,
        11.334186438241847,
        11.335486654648214,
        11.336786872672372,
        11.338087092318935,
        11.33938731359252,
        11.340687536497741,
        11.341987761039213,
        11.343287987221554,
        11.344588215049376,
        11.345888444527295,
        11.347188675659927,
        11.348488908451888,
        11.34978914290779,
        11.35108937903225,
        11.352389616829884,
        11.353689856305307,
        11.354990097463133,
        11.356290340307979,
        11.357590584844457,
        11.358890831077186,
        11.36019107901078,
        11.361491328649853,
        11.362791579999021,
        11.3640918330629,
        11.365392087846104,
        11.366692344353249,
        11.367992602588949,
        11.36929286255782,
        11.370593124264479,
        11.37189338771354,
        11.373193652909615,
        11.374493919857324,
        11.375794188561278,
        11.377094459026097,
        11.37839473125639,
        11.37969500525678,
        11.380995281031876,
        11.382295558586295,
        11.383595837924652,
        11.384896119051563,
        11.386196401971644,
        11.387496686689508,
        11.38879697320977,
        11.390097261537047,
        11.391397551675956,
        11.392697843631108,
        11.39399813740712,
        11.395298433008607,
        11.396598730440186,
        11.397899029706469,
        11.399199330812074,
        11.400499633761616,
        11.401799938559707,
        11.403100245210966,
        11.404400553720006,
        11.405700864091443,
        11.407001176329894,
        11.408301490439971,
        11.40960180642629,
        11.410902124293468,
        11.412202444046118,
        11.413502765688857,
        11.4148030892263,
        11.416103414663061,
        11.417403742003755,
        11.418704071252998,
        11.420004402415406,
        11.421304735495594,
        11.422605070498177,
        11.42390540742777,
        11.425205746288986,
        11.426506087086445,
        11.427806429824757,
        11.429106774508542,
        11.43040712114241,
        11.431707469730982,
        11.43300782027887,
        11.434308172790688,
        11.435608527271055,
        11.436908883724582,
        11.438209242155889,
        11.439509602569586,
        11.440809964970292,
        11.442110329362619,
        11.443410695751185,
        11.444711064140606,
        11.446011434535492,
        11.447311806940464,
        11.448612181360135,
        11.44991255779912,
        11.451212936262035,
        11.452513316753492,
        11.453813699278111,
        11.455114083840504,
        11.456414470445289,
        11.457714859097077,
        11.459015249800487,
        11.460315642560133,
        11.461616037380628,
        11.46291643426659,
        11.464216833222634,
        11.465517234253376,
        11.466817637363429,
        11.468118042557407,
        11.46941844983993,
        11.470718859215609,
        11.47201927068906,
        11.4733196842649,
        11.474620099947744,
        11.475920517742205,
        11.4772209376529,
        11.478521359684443,
        11.479821783841452,
        11.481122210128538,
        11.48242263855032,
        11.48372306911141,
        11.485023501816425,
        11.486323936669981,
        11.487624373676692,
        11.488924812841173,
        11.49022525416804,
        11.491525697661908,
        11.492826143327392,
        11.494126591169106,
        11.495427041191668,
        11.49672749339969,
        11.498027947797793,
        11.499328404390583,
        11.500628863182683,
        11.501929324178706,
        11.503229787383265,
        11.50453025280098,
        11.50583072043646,
        11.507131190294324,
        11.508431662379188,
        11.509732136695662,
        11.511032613248368,
        11.512333092041917,
        11.513633573080927,
        11.514934056370011,
        11.516234541913786,
        11.517535029716864,
        11.518835519783863,
        11.520136012119398,
        11.521436506728083,
        11.522737003614536,
        11.524037502783367,
        11.525338004239195,
        11.526638507986636,
        11.527939014030304,
        11.529239522374812,
        11.530540033024778,
        11.531840545984817,
        11.533141061259542,
        11.534441578853572,
        11.535742098771518,
        11.537042621018,
        11.538343145597628,
        11.53964367251502,
        11.54094420177479,
        11.542244733381555,
        11.54354526733993,
        11.544845803654528,
        11.546146342329967,
        11.54744688337086,
        11.548747426781823,
        11.550047972567473,
        11.551348520732422,
        11.552649071281287,
        11.553949624218683,
        11.555250179549224,
        11.55655073727753,
        11.55785129740821,
        11.55915185994588,
        11.560452424895159,
        11.56175299226066,
        11.563053562047,
        11.56435413425879,
        11.565654708900649,
        11.56695528597719,
        11.56825586549303,
        11.569556447452785,
        11.570857031861067,
        11.572157618722494,
        11.573458208041679,
        11.574758799823238,
        11.576059394071788,
        11.577359990791942,
        11.578660589988315,
        11.579961191665525,
        11.581261795828185,
        11.58256240248091,
        11.583863011628315,
        11.585163623275017,
        11.58646423742563,
        11.587764854084769,
        11.589065473257051,
        11.590366094947088,
        11.591666719159498,
        11.592967345898895,
        11.594267975169895,
        11.595568606977112,
        11.596869241325162,
        11.59816987821866,
        11.599470517662223,
        11.600771159660463,
        11.602071804217996,
        11.603372451339439,
        11.604673101029405,
        11.605973753292512,
        11.607274408133373,
        11.608575065556604,
        11.60987572556682,
        11.611176388168635,
        11.612477053366666,
        11.613777721165528,
        11.615078391569837,
        11.616379064584205,
        11.61767974021325,
        11.618980418461586,
        11.620281099333829,
        11.621581782834594,
        11.622882468968497,
        11.62418315774015,
        11.625483849154172,
        11.626784543215177,
        11.62808523992778,
        11.629385939296595,
        11.630686641326239,
        11.631987346021326,
        11.633288053386472,
        11.634588763426294,
        11.635889476145403,
        11.637190191548417,
        11.63849090963995,
        11.63979163042462,
        11.641092353907037,
        11.642393080091821,
        11.643693808983585,
        11.644994540586945,
        11.646295274906516,
        11.647596011946913,
        11.64889675171275,
        11.650197494208644,
        11.651498239439212,
        11.652798987409064,
        11.65409973812282,
        11.655400491585093,
        11.656701247800498,
        11.65800200677365,
        11.659302768509166,
        11.660603533011662,
        11.661904300285748,
        11.663205070336044,
        11.664505843167165,
        11.665806618783725,
        11.667107397190337,
        11.66840817839162,
        11.669708962392187,
        11.671009749196655,
        11.672310538809636,
        11.67361133123575,
        11.674912126479608,
        11.676212924545826,
        11.67751372543902,
        11.678814529163807,
        11.6801153357248,
        11.681416145126613,
        11.682716957373863,
        11.684017772471167,
        11.685318590423137,
        11.686619411234387,
        11.687920234909537,
        11.6892210614532,
        11.690521890869991,
        11.691822723164524,
        11.693123558341417,
        11.694424396405283,
        11.695725237360739,
        11.697026081212396,
        11.698326927964874,
        11.699627777622787,
        11.701223932108606,
        11.703722317291303,
        11.70622071162208,
        11.708719115068972,
        11.711217527600018,
        11.713715949183253,
        11.716214379786715,
        11.71871281937844,
        11.721211267926467,
        11.72370972539883,
        11.72620819176357,
        11.728706666988717,
        11.731205151042316,
        11.733703643892397,
        11.736202145507,
        11.738700655854164,
        11.741199174901922,
        11.743697702618311,
        11.74619623897137,
        11.748694783929135,
        11.751193337459643,
        11.753691899530931,
        11.756190470111036,
        11.758689049167995,
        11.761187636669844,
        11.763686232584618,
        11.766184836880358,
        11.7686834495251,
        11.771182070486876,
        11.773680699733731,
        11.776179337233694,
        11.778677982954807,
        11.781176636865107,
        11.783675298932627,
        11.786173969125405,
        11.788672647411481,
        11.79117133375889,
        11.793670028135667,
        11.796168730509851,
        11.798667440849478,
        11.801166159122586,
        11.80366488529721,
        11.806163619341389,
        11.808662361223158,
        11.811161110910554,
        11.813659868371616,
        11.816158633574378,
        11.818657406486878,
        11.821156187077154,
        11.823654975313243,
        11.82615377116318,
        11.828652574595,
        11.831151385576746,
        11.83365020407645,
        11.83614903006215,
        11.838647863501885,
        11.841146704363688,
        11.843645552615598,
        11.846144408225653,
        11.848643271161889,
        11.85114214139234,
        11.853641018885046,
        11.856139903608044,
        11.85863879552937,
        11.86113769461706,
        11.863636600839154,
        11.866135514163684,
        11.868634434558691,
        11.871133361992209,
        11.873632296432278,
        11.876131237846932,
        11.878630186204209,
        11.881129141472146,
        11.88362810361878,
        11.886127072612148,
        11.888626048420285,
        11.89112503101123,
        11.893624020353018,
        11.896123016413688,
        11.898622019161277,
        11.901121028563818,
        11.903620044589353,
        11.906119067205916,
        11.908618096381543,
        11.911117132084273,
        11.913616174282142,
        11.916115222943187,
        11.918614278035445,
        11.921113339526952,
        11.923612407385747,
        11.926111481579863,
        11.92861056207734,
        11.931109648846215,
        11.933608741854524,
        11.936107841070303,
        11.93860694646159,
        11.941106057996421,
        11.943605175642835,
        11.946104299368866,
        11.948603429142551,
        11.951102564931931,
        11.953601706705037,
        11.95610085442991,
        11.958600008074585,
        11.9610991676071,
        11.963598332995492,
        11.966097504207797,
        11.96859668121205,
        11.971095863976291,
        11.973595052468557,
        11.976094246656883,
        11.978593446509306,
        11.981092651993864,
        11.983591863078592,
        11.98609107973153,
        11.988590301920711,
        11.991089529614175,
        11.993588762779957,
        11.996088001386095,
        11.998587245400625,
        12.001086494791585,
        12.00358574952701,
        12.006085009574939,
        12.008584274903408,
        12.011083545480453,
        12.013582821274111,
        12.016082102252422,
        12.018581388383417,
        12.021080679635139,
        12.02357997597562,
        12.0260792773729,
        12.028578583795015,
        12.031077895210002,
        12.033577211585897,
        12.036076532890736,
        12.038575859092559,
        12.0410751901594,
        12.043574526059297,
        12.046073866760288,
        12.048573212230407,
        12.051072562437692,
        12.053571917350183,
        12.056071276935914,
        12.05857064116292,
        12.061070009999241,
        12.063569383412913,
        12.066068761371973,
        12.068568143844457,
        12.071067530798404,
        12.073566922201847,
        12.076066318022827,
        12.078565718229378,
        12.081065122789537,
        12.083564531671344,
        12.086063944842833,
        12.08856336227204,
        12.091062783927006,
        12.093562209775763,
        12.09606163978635,
        12.098561073926806,
        12.101060512165164,
        12.103559954469464,
        12.106059400807741,
        12.108558851148032,
        12.111058305458375,
        12.113557763706805,
        12.116057225861361,
        12.118556691890078,
        12.121056161760993,
        12.123555635442147,
        12.12605511290157,
        12.128554594107303,
        12.131054079027384,
        12.133553567629846,
        12.13605305988273,
        12.13855255575407,
        12.141052055211903,
        12.143551558224265,
        12.146051064759197,
        12.148550574784732,
        12.151050088268908,
        12.153549605179762,
        12.156049125485332,
        12.158548649153653,
        12.161048176152763,
        12.163547706450696,
        12.166047240015494,
        12.16854677681519,
        12.171046316817822,
        12.173545859991426,
        12.176045406304041,
        12.178544955723703,
        12.181044508218449,
        12.183544063756313,
        12.186043622305336,
        12.188543183833552,
        12.191042748309,
        12.193542315699714,
        12.196041885973735,
        12.198541459099095,
        12.201041035043835,
        12.20354061377599,
        12.206040195263597,
        12.208539779474693,
        12.211039366377314,
        12.2135389559395,
        12.216038548129283,
        12.218538142914703,
        12.221037740263796,
        12.2235373401446,
        12.226036942525152,
        12.228536547373485,
        12.231036154657641,
        12.233535764345655,
        12.236035376405562,
        12.2385349908054,
        12.241034607513207,
        12.243534226497019,
        12.246033847724874,
        12.248533471164807,
        12.251033096784855,
        12.253532724553056,
        12.256032354437446,
        12.258531986406062,
        12.261031620426941,
        12.26353125646812,
        12.266030894497638,
        12.268530534483528,
        12.271030176393827,
        12.273529820196575,
        12.276029465859809,
        12.278529113351562,
        12.281028762639872,
        12.28352841369278,
        12.286028066478318,
        12.288527720964524,
        12.291027377119436,
        12.29352703491109,
        12.296026694307525,
        12.298526355276774,
        12.301026017786876,
        12.30352568180587,
        12.306025347301787,
        12.30852501424267,
        12.311024682596553,
        12.313524352331473,
        12.316024023415467,
        12.318523695816573,
        12.321023369502825,
        12.323523044442263,
        12.326022720602923,
        12.32852239795284,
        12.331022076460053,
        12.333521756092598,
        12.336021436818513,
        12.338521118605833,
        12.341020801422594,
        12.343520485236837,
        12.346020170016596,
        12.348519855729908,
        12.35101954234481,
        12.35351922982934,
        12.356018918151534,
        12.358518607279427,
        12.36101829718106,
        12.363517987824466,
        12.366017679177682,
        12.36851737120875,
        12.3710170638857,
        12.373516757176573,
        12.376016451049404,
        12.378516145472231,
        12.381015840413092,
        12.383515535840022,
        12.386015231721057,
        12.388514928024236,
        12.391014624717595,
        12.393514321769171,
        12.396014019147,
        12.398513716819119,
        12.401013414753567,
        12.403513112918379,
        12.406012811281592,
        12.408512509811244,
        12.41101220847537,
        12.413511907242007,
        12.416011606079193,
        12.418511304954965,
        12.42101100383736,
        12.423510702694413,
        12.426010401494164,
        12.428510100204646,
        12.431009798793898,
        12.433509497229958,
        12.43600919548086,
        12.438508893514644,
        12.441008591299344,
        12.443508288802999,
        12.446007985993644,
        12.448507682839317,
        12.451007379308056,
        12.453507075367895,
        12.456006770986875,
        12.458506466133027,
        12.461006160774394,
        12.463505854879008,
        12.466005548414909,
        12.468505241350133,
        12.471004933652717,
        12.473504625290696,
        12.476004316232109,
        12.478504006444993,
        12.481003695897384,
        12.483503384557318,
        12.486003072392833,
        12.488502759371967,
        12.491002445462753,
        12.493502130633232,
        12.49600181485144,
        12.498501498085412,
        12.501001180303186,
        12.5035008614728,
        12.506000541562289,
        12.508500220539691,
        12.510999898373042,
        12.51349957503038,
        12.51599925047974,
        12.51849892468916,
        12.52099859762668,
        12.52349826926033,
        12.525997939558152,
        12.528497608488182,
        12.530997276018455,
        12.533496942117011,
        12.535996606751885,
        12.538496269891112,
        12.540995931502733,
        12.543495591554782,
        12.545995250015297,
        12.548494906852314,
        12.55099456203387,
        12.553494215528001,
        12.555993867302748,
        12.558493517326141,
        12.560993165566224,
        12.56349281199103,
        12.565992456568596,
        12.56849209926696,
        12.570991740054156,
        12.573491378898225,
        12.575991015767203,
        12.578490650629123,
        12.580990283452026,
        12.583489914203948,
        12.585989542852925,
        12.588489169366994,
        12.590988793714192,
        12.593488415862556,
        12.595988035780124,
        12.59848765343493,
        12.600987268795013,
        12.603486881828411,
        12.605986492503158,
        12.608486100787292,
        12.61098570664885,
        12.61348531005587,
        12.615984910976387,
        12.618484509378437,
        12.620984105230061,
        12.623483698499292,
        12.625983289154169,
        12.628482877162726,
        12.630982462493005,
        12.633482045113038,
        12.635981624990864,
        12.63848120209452,
        12.640980776392041,
        12.643480347851465,
        12.645979916440831,
        12.648479482128174,
        12.65097904488153,
        12.653478604668937,
        12.655978161458432,
        12.65847771521805,
        12.660977265915829,
        12.663476813519807,
        12.665976357998021,
        12.668475899318507,
        12.6709754374493,
        12.67347497235844,
        12.675974504013961,
        12.678474032383903,
        12.6809735574363,
        12.68347307913919,
        12.68597259746061,
        12.688472112368599,
        12.690971623831189,
        12.693471131816422,
        12.69597063629233,
        12.698470137226954,
        12.700969634588327,
        12.703469128344489,
        12.705968618463476,
        12.708468104913326,
        12.710967587662072,
        12.713467066677756,
        12.71596654192841,
        12.718466013382075,
        12.720965481006784,
        12.723464944770578,
        12.725964404641491,
        12.72846386058756,
        12.730963312576824,
        12.733462760577316,
        12.735962204557078,
        12.738461644484142,
        12.740961080326548,
        12.74346051205233,
        12.745959939629529,
        12.748459363026178,
        12.750958782210317,
        12.75345819714998,
        12.755957607813205,
        12.758457014168028,
        12.76095641618249,
        12.763455813824622,
        12.765955207062465,
        12.768454595864053,
        12.770953980197426,
        12.773453360030617,
        12.775952735331668,
        12.77845210606861,
        12.780951472209484,
        12.783450833722325,
        12.785950190575171,
        12.788449542736059,
        12.790948890173025,
        12.793448232854105,
        12.795947570747337,
        12.798446903820759,
        12.800946232042406,
        12.803445555380316,
        12.805944873802526,
        12.80844418727707,
        12.810943495771989,
        12.813442799255318,
        12.815942097695093,
        12.818441391059352,
        12.82094067931613,
        12.823439962433469,
        12.825939240379398,
        12.828438513121961,
        12.830937780629192,
        12.833437042869127,
        12.835936299809804,
        12.83843555141926,
        12.84093479766553,
        12.843434038516655,
        12.845933273940668,
        12.848432503905606,
        12.850931728379507,
        12.85343094733041,
        12.855930160726349,
        12.85842936853536,
        12.860928570725482,
        12.863427767264751,
        12.865926958121204,
        12.868426143262878,
        12.870925322657811,
        12.873424496274039,
        12.875923664079597,
        12.878422826042524,
        12.880921982130857,
        12.88342113231263,
        12.885920276555884,
        12.888419414828654,
        12.890918547098977,
        12.893417673334888,
        12.895916793504426,
        12.898415907575629,
        12.90091501551653,
        12.903414117295169,
        12.905913212879582,
        12.908412302237807,
        12.910911385337878,
        12.913410462147834,
        12.91590953263571,
        12.918408596769545,
        12.920907654517377,
        12.92340670584724,
        12.925905750727171,
        12.928404789125208,
        12.930903821009387,
        12.933402846347748,
        12.935901865108322,
        12.938400877259152,
        12.94089988276827,
        12.943398881603716,
        12.945897873733525,
        12.948396859125737,
        12.950895837748384,
        12.953394809569506,
        12.955893774557138,
        12.95839273267932,
        12.960891683904086,
        12.963390628199473,
        12.965889565533521,
        12.968388495874263,
        12.970887419189737,
        12.973386335447982,
        12.97588524461703,
        12.978384146664924,
        12.980883041559697,
        12.983381929269386,
        12.98588080976203,
        12.988379683005663,
        12.990878548968324,
        12.993377407618048,
        12.995876258922875,
        12.998375102850838,
        13.000873939369978,
        13.003372768448328,
        13.005871590053927,
        13.00837040415481,
        13.010869210719017,
        13.013368009714583,
        13.015866801109544,
        13.018365584871939,
        13.020864360969803,
        13.023363129371173,
        13.025861890044087,
        13.028360642956581,
        13.030859388076692,
        13.033358125372457,
        13.035856854811913,
        13.038355576363097,
        13.040854289994046,
        13.043352995672796,
        13.045851693367384,
        13.048350383045847,
        13.050849064676223,
        13.053347738226547,
        13.055846403664857,
        13.058345060959189,
        13.060843710077581,
        13.06334235098807,
        13.065840983658692,
        13.068339608057483,
        13.070838224152482,
        13.073336831911725,
        13.075835431303249,
        13.078334022295088,
        13.080832604855285,
        13.08333117895187,
        13.085829744552886,
        13.088328301626365,
        13.090826850140346,
        13.093325390062866,
        13.095823921361962,
        13.098322444005671,
        13.100820957962027,
        13.103319463199071,
        13.105817959684838,
        13.108316447387365,
        13.110814926274688,
        13.113313396314846,
        13.115811857475872,
        13.118310309725807,
        13.120808753032687,
        13.123307187364547,
        13.125805612689424,
        13.128304028975357,
        13.130802436190383,
        13.133300834302535,
        13.135799223279854,
        13.138297603090376,
        13.140795973702135,
        13.143294335083171,
        13.145792687201519,
        13.148291030025218,
        13.150789363522303,
        13.153287687660812,
        13.15578600240878,
        13.158284307734247,
        13.160782603605247,
        13.163280889989817,
        13.165779166855996,
        13.16827743417182,
        13.170775691905325,
        13.173273940024549,
        13.175772178497526,
        13.178270407292297,
        13.180768626376898,
        13.183266835719362,
        13.18576503528773,
        13.188263225050038,
        13.190761404974321,
        13.19325957502862,
        13.195757735180967,
        13.198255885399401,
        13.200754025651959,
        13.203252155906679,
        13.205750276131594,
        13.208248386294745,
        13.210746486364169,
        13.213244576307899,
        13.215742656093974,
        13.218240725690432,
        13.220738785065308,
        13.22323683418664,
        13.225734873022464,
        13.228232901540817,
        13.230730919709737,
        13.23322892749726,
        13.235726924871424,
        13.238224911800263,
        13.240722888251817,
        13.24322085419412,
        13.245718809595212,
        13.24821675442313,
        13.250714688645905,
        13.25321261223158,
        13.25571052514819,
        13.25820842736377,
        13.260706318846362,
        13.263204199563997,
        13.265702069484714,
        13.268199928576552,
        13.270697776807545,
        13.273195614145731,
        13.275693440559147,
        13.278191256015829,
        13.280689060483814,
        13.283186853931142,
        13.285684636325843,
        13.288182407635961,
        13.29068016782953,
        13.293177916874587,
        13.295675654739167,
        13.29817338139131,
        13.300671096799052,
        13.303168800930427,
        13.305666493753476,
        13.308164175236234,
        13.310661845346736,
        13.313159504053022,
        13.315657151323128,
        13.31815478712509,
        13.320652411426945,
        13.323150024196732,
        13.325647625402484,
        13.32814521501224,
        13.330642792994038,
        13.333140359315912,
        13.335637913945902,
        13.338135456852044,
        13.340632988002373,
        13.343130507364926,
        13.345628014907742,
        13.348125510598857,
        13.350622994406308,
        13.353120466298131,
        13.355617926242363,
        13.358115374207042,
        13.360612810160204,
        13.363110234069886,
        13.365607645904124,
        13.368105045630957,
        13.370602433218421,
        13.373099808634551,
        13.375597171847385,
        13.378094522824963,
        13.380591861535317,
        13.383089187946485,
        13.385586502026506,
        13.388083803743415,
        13.39058109306525,
        13.393078369960048,
        13.395575634395845,
        13.398072886340678,
        13.400570125762583,
        13.403067352629598,
        13.40556456690976,
        13.408061768571107,
        13.410558957581673,
        13.413056133909496,
        13.415553297522614,
        13.418050448389062,
        13.420547586476879,
        13.4230447117541,
        13.425541824188763,
        13.428038923748904,
        13.43053601040256,
        13.43303308411777,
        13.435530144862568,
        13.438027192604991,
        13.440524227313077,
        13.443021248954864,
        13.445518257498387,
        13.448015252911683,
        13.450512235162789,
        13.453009204219741,
        13.45550616005058,
        13.458003102623337,
        13.460500031906054,
        13.462996947866763,
        13.465493850473505,
        13.467990739694317,
        13.47048761549723,
        13.471569729971852,
        13.474072897054178,
        13.476576036020564,
        13.479079146945438,
        13.481582229903228,
        13.48408528496837,
        13.486588312215284,
        13.489091311718406,
        13.491594283552162,
        13.494097227790983,
        13.496600144509298,
        13.499103033781534,
        13.501605895682124,
        13.504108730285495,
        13.506611537666075,
        13.509114317898296,
        13.511617071056587,
        13.514119797215375,
        13.516622496449093,
        13.519125168832165,
        13.521627814439025,
        13.5241304333441,
        13.52663302562182,
        13.529135591346614,
        13.531638130592912,
        13.53414064343514,
        13.53664312994773,
        13.539145590205115,
        13.541648024281717,
        13.54415043225197,
        13.5466528141903,
        13.54915517017114,
        13.551657500268917,
        13.554159804558061,
        13.556662083113,
        13.559164336008164,
        13.561666563317985,
        13.564168765116886,
        13.566670941479302,
        13.56917309247966,
        13.57167521819239,
        13.57417731869192,
        13.576679394052679,
        13.5791814443491,
        13.581683469655607,
        13.584185470046634,
        13.586687445596606,
        13.589189396379954,
        13.59169132247111,
        13.594193223944501,
        13.596695100874554,
        13.5991969533357,
        13.601698781402371,
        13.604200585148993,
        13.606702364649994,
        13.60920411997981,
        13.61170585121286,
        13.614207558423583,
        13.616709241686404,
        13.619210901075753,
        13.621712536666056,
        13.624214148531747,
        13.626715736747254,
        13.629217301387005,
        13.631718842525428,
        13.634220360236956,
        13.636721854596015,
        13.639223325677037,
        13.64172477355445,
        13.644226198302682,
        13.646727599996165,
        13.649228978709324,
        13.651730334516593,
        13.654231667492398,
        13.65673297771117,
        13.659234265247338,
        13.661735530175331,
        13.664236772569579,
        13.666737992504508,
        13.669239190054553,
        13.671740365294138,
        13.674241518297695,
        13.676742649139651,
        13.67924375789444,
        13.681744844636487,
        13.68424590944022,
        13.686746952380073,
        13.689247973530472,
        13.691748972965847,
        13.694249950760629,
        13.696750906989244,
        13.699251841726124,
        13.701752755045696,
        13.70425364702239,
        13.706754517730637,
        13.709255367244864,
        13.711756195639504,
        13.714257002988981,
        13.716757789367728,
        13.719258554850173,
        13.721759299510744,
        13.724260023423872,
        13.726760726663986,
        13.729261409305515,
        13.731762071422889,
        13.734262713090537,
        13.736763334382887,
        13.739263935374371,
        13.741764516139416,
        13.744265076752448,
        13.746765617287904,
        13.749266137820207,
        13.751766638423788,
        13.754267119173079,
        13.756767580142506,
        13.7592680214065,
        13.76176844303949,
        13.764268845115904,
        13.76676922771017,
        13.769269590896721,
        13.771769934749987,
        13.77427025934439,
        13.776770564754367,
        13.779270851054346,
        13.781771118318751,
        13.784271366622017,
        13.786771596038571,
        13.789271806642843,
        13.79177199850926,
        13.794272171712255,
        13.796772326326254,
        13.799272462425687,
        13.801772580084986,
        13.804272679378577,
        13.80677276038089,
        13.809272823166353,
        13.811772867809399,
        13.814272894384453,
        13.816772902965948,
        13.819272893628312,
        13.821772866445972,
        13.824272821493363,
        13.826772758844907,
        13.829272678575038,
        13.831772580758182,
        13.834272465468771,
        13.836772332781235,
        13.839272182770001,
        13.841772015509498,
        13.844271831074156,
        13.846771629538408,
        13.849271410976677,
        13.851771175463394,
        13.85427092307299,
        13.856770653879895,
        13.859270367958537,
        13.861770065383343,
        13.864269746228747,
        13.866769410569173,
        13.869269058479054,
        13.871768690032818,
        13.874268305304895,
        13.876767904369713,
        13.879267487301702,
        13.881767054175292,
        13.88426660506491,
        13.886766140044989,
        13.889265659189954,
        13.891765162574236,
        13.894264650272266,
        13.896764122358473,
        13.89926357890728,
        13.901763019993126,
        13.904262445690435,
        13.906761856073635,
        13.909261251217158,
        13.911760631195433,
        13.914259996082889,
        13.916759345953952,
        13.919258680883058,
        13.92175800094463,
        13.9242573062131,
        13.926756596762898,
        13.929255872668453,
        13.931755134004192,
        13.934254380844546,
        13.936753613263942,
        13.939252831336814,
        13.941752035137588,
        13.944251224740693,
        13.946750400220559,
        13.949249561651616,
        13.951748709108292,
        13.95424784266502,
        13.956746962396222,
        13.959246068376334,
        13.96174516067978,
        13.964244239380994,
        13.966743304554402,
        13.969242356274435,
        13.971741394615522,
        13.97424041965209,
        13.976739431458574,
        13.979238430109397,
        13.981737415678992,
        13.984236388241786,
        13.986735347872209,
        13.989234294644692,
        13.991733228633661,
        13.994232149913548,
        13.996731058558783,
        13.999229954643791,
        14.001728838243004,
        14.004227709430854,
        14.006726568281763,
        14.00922541487017,
        14.011724249270495,
        14.014223071557172,
        14.01672188180463,
        14.019220680087297,
        14.021719466479603,
        14.024218241055978,
        14.02671700389085,
        14.02921575505865,
        14.031714494633803,
        14.034213222690745,
        14.036711939303899,
        14.039210644547698,
        14.04170933849657,
        14.044208021224943,
        14.046706692807248,
        14.049205353317916,
        14.051704002831373,
        14.054202641422048,
        14.056701269164375,
        14.059199886132777,
        14.061698492401687,
        14.064197088045534,
        14.066695673138746,
        14.069194247755753,
        14.071692811970983,
        14.07419136585887,
        14.076689909493837,
        14.079188442950318,
        14.081686966302739,
        14.08418547962553,
        14.086683982993122,
        14.089182476479943,
        14.09168096016042,
        14.09417943410899,
        14.096677898400074,
        14.099176353108103,
        14.101674798307508,
        14.104173234072718,
        14.106671660478161,
        14.109170077598268,
        14.111668485507469,
        14.11416688428019,
        14.116665273990861,
        14.119163654713915,
        14.121662026523778,
        14.124160389494879,
        14.126658743701647,
        14.129157089218515,
        14.131655426119906,
        14.134153754480256,
        14.13665207437399,
        14.139150385875537,
        14.14164868905933,
        14.144146983999795,
        14.146645270771362,
        14.14914354944846,
        14.151641820105521,
        14.15414008281697,
        14.156638337657238,
        14.159136584700754,
        14.161634824021949,
        14.16413305569525,
        14.16663127979509,
        14.169129496395893,
        14.171627705572092,
        14.174125907398114,
        14.17662410194839,
        14.179122289297348,
        14.18162046951942,
        14.18411864268903,
        14.186616808880613,
        14.189114968168594,
        14.191613120627403,
        14.194111266331474,
        14.196609405355229,
        14.199107537773102,
        14.201605663659521,
        14.204103783088916,
        14.206601896135714,
        14.209100002874345,
        14.211598103379242,
        14.21409619772483,
        14.216594285985538,
        14.219092368235799,
        14.221590444550039,
        14.224088515002688,
        14.226586579668178,
        14.229084638620932,
        14.231582691935385,
        14.234080739685966,
        14.2365787819471,
        14.23907681879322,
        14.241574850298756,
        14.244072876538134,
        14.246570897585784,
        14.249068913516137,
        14.25156692440362,
        14.254064930322667,
        14.2565629313477,
        14.259060927553154,
        14.261558919013455,
        14.264056905803034,
        14.266554887996321,
        14.269052865667742,
        14.27155083889173,
        14.274048807742712,
        14.276546772295118,
        14.279044732623376,
        14.28154268880192,
        14.284040640905172,
        14.286538589007566,
        14.28903653318353,
        14.291534473507495,
        14.294032410053887,
        14.296530342897139,
        14.299028272111677,
        14.301526197771931,
        14.304024119952333,
        14.306522038727307,
        14.309019954171287,
        14.3115178663587,
        14.314015775363977,
        14.316513681261544,
        14.319011584125835,
        14.321509484031274,
        14.324007381052295,
        14.326505275263326,
        14.329003166738794,
        14.331501055553128,
        14.333998941780761,
        14.33649682549612,
        14.338994706773633,
        14.341492585687734,
        14.343990462312846,
        14.346488336723402,
        14.348986208993832,
        14.351484079198563,
        14.353981947412024,
        14.356479813708647,
        14.358977678162859,
        14.361475540849089,
        14.363973401841768,
        14.366471261215324,
        14.368969119044186,
        14.371466975402786,
        14.373964830365551,
        14.376462684006908,
        14.37896053640129,
        14.381458387623125,
        14.383956237746842,
        14.386454086846872,
        14.388951934997642,
        14.39144978227358,
        14.39394762874912,
        14.396445474498687,
        14.398943319596713,
        14.401441164117625,
        14.403939008135854,
        14.406436851725829,
        14.408934694961978,
        14.411432537918731,
        14.413930380670518,
        14.416428223291767,
        14.41892606585691,
        14.421423908440373,
        14.423921751116584,
        14.426419593959977,
        14.42891743704498,
        14.43141528044602,
        14.433913124237527,
        14.436410968493933,
        14.438908813289663,
        14.44140665869915,
        14.44390450479682,
        14.446402351657103,
        14.44890019935443,
        14.451398047963231,
        14.453895897557931,
        14.456393748212964,
        14.458891600002758,
        14.461389453001738,
        14.46388730728434,
        14.466385162924988,
        14.468883019998113,
        14.471380878578145,
        14.473878738739515,
        14.476376600556646,
        14.478874464103974,
        14.481372329455926,
        14.483870196686928,
        14.486368065871414,
        14.488865937083812,
        14.491363810398548,
        14.493861685890055,
        14.496359563632762,
        14.498857443701098,
        14.501355326169488,
        14.503853211112368,
        14.506351098604165,
        14.508848988719304,
        14.511346881532221,
        14.513844777117342,
        14.516342675549094,
        14.51884057690191,
        14.521338481250217,
        14.523836388668444,
        14.526334299231024,
        14.528832213012382,
        14.531330130086948,
        14.533828050529154,
        14.536325974413426,
        14.538823901814194,
        14.54132183280589,
        14.54381976746294,
        14.546317705859774,
        14.548815648070821,
        14.551313594170512,
        14.553811544233275,
        14.55630949833354,
        14.558807456545736,
        14.56130541894429,
        14.563803385603634,
        14.5663013565982,
        14.568799332002408,
        14.571297311890696,
        14.57379529633749,
        14.57629328541722,
        14.578791279204314,
        14.581289277773202,
        14.583787281198315,
        14.586285289554079,
        14.588783302914926,
        14.591281321355282,
        14.593779344949581,
        14.59627737377225,
        14.598775407897715,
        14.601273447400409,
        14.603771492354763,
        14.606269542835202,
        14.608767598916156,
        14.611265660672057,
        14.613763728177332,
        14.61626180150641,
        14.618759880733721,
        14.621257965933696,
        14.62375605718076,
        14.626254154549347,
        14.628752258113884,
        14.631250367948798,
        14.633748484128523,
        14.636246606727486,
        14.638744735820115,
        14.641242871480841,
        14.643741013784092,
        14.6462391628043,
        14.64873731861589,
        14.651235481293295,
        14.65373365091094,
        14.656231827543259,
        14.65873001126468,
        14.66122820214963,
        14.663726400272541,
        14.666224605707841,
        14.66872281852996,
        14.671221038813323,
        14.673719266632366,
        14.676217502061515,
        14.678715745175198,
        14.681213996047848,
        14.683712254753889,
        14.686210521367755,
        14.688708795963873,
        14.691207078616673,
        14.693705369400583,
        14.696203668390034,
        14.698701975659455,
        14.701200291283275,
        14.703698615335922,
        14.706196947891826,
        14.708695289025417,
        14.711193638811125,
        14.713691997323377,
        14.716190364636601,
        14.71868874082523,
        14.721187125963695,
        14.723685520126418,
        14.726183923387836,
        14.728682335822372,
        14.73118075750446,
        14.733679188508525,
        14.736177628909,
        14.738676078780312,
        14.74117453819689,
        14.743673007233166,
        14.746171485963565,
        14.748669974462523,
        14.751168472804462,
        14.753666981063814,
        14.75616549931501,
        14.758664027632477,
        14.761162566090645,
        14.763661114763945,
        14.766159673726802,
        14.76865824305365,
        14.771156822818915,
        14.773655413097028,
        14.776154013962417,
        14.778652625489514,
        14.781151247752744,
        14.78364988082654,
        14.786148524785327,
        14.78864717970354,
        14.791145845655604,
        14.793644522715947,
        14.796143210959006,
        14.798641910459201,
        14.801140621290967,
        14.803639343528731,
        14.806138077246924,
        14.808636822519972,
        14.81113557942231,
        14.81363434802836,
        14.816133128412556,
        14.818631920649326,
        14.8211307248131,
        14.823629540978306,
        14.826128369219374,
        14.828627209610733,
        14.831126062226813,
        14.833624927142044,
        14.836123804430851,
        14.838622694167668,
        14.841121596426923,
        14.843620511283046,
        14.846119438810462,
        14.848618379083604,
        14.851117332176901,
        14.853616298164784,
        14.856115277121678,
        14.858614269122015,
        14.861113274240223,
        14.86361229255073,
        14.86611132412797,
        14.868610369046369,
        14.871109427380357,
        14.873608499204362,
        14.876107584592816,
        14.878606683620145,
        14.88110579636078,
        14.883604922889148,
        14.886104063279683,
        14.88860321760681,
        14.891102385944961,
        14.893601568368563,
        14.896100764952049,
        14.898599975769843,
        14.901099200896377,
        14.90359844040608,
        14.906097694373383,
        14.90859696287271,
        14.911096245978499,
        14.913595543765172,
        14.916094856307158,
        14.918594183678891,
        14.921093525954799,
        14.92359288320931,
        14.926092255516851,
        14.928591642951856,
        14.93109104558875,
        14.933590463501966,
        14.936089896765932,
        14.938589345455075,
        14.941088809643826,
        14.943588289406618,
        14.946087784817873,
        14.948587295952025,
        14.951086822883502,
        14.953586365686734,
        14.956085924436149,
        14.958585499206176,
        14.961085090071247,
        14.963584697105789,
        14.966084320384232,
        14.968583959981004,
        14.971083615970535,
        14.973583288427255,
        14.976082977425595,
        14.978582683039978,
        14.98108240534484,
        14.983582144414607,
        14.986081900323708,
        14.988581673146575,
        14.991081462957634,
        14.993581269831315,
        14.996081093842049,
        14.998580935064265,
        15.001080793572388,
        15.003580669440854,
        15.006080562744089,
        15.00858047355652,
        15.01108040195258,
        15.013580348006696,
        15.0160803117933,
        15.018580293386815,
        15.02108029286168,
        15.023580310292314,
        15.02608034575315,
        15.028580399318624,
        15.031080471063156,
        15.03358056106118,
        15.036080669387124,
        15.038580796115419,
        15.04108094132049,
        15.043581105076768,
        15.046081287458687,
        15.04858148854067,
        15.051081708397149,
        15.053581947102552,
        15.056082204731311,
        15.05858248135785,
        15.061082777056606,
        15.063583091902002,
        15.06608342596847,
        15.068583779330439,
        15.071084152062337,
        15.073584544238594,
        15.07608495593364,
        15.078585387221903,
        15.081085838177811,
        15.083586308875798,
        15.086086799390289,
        15.088587309795715,
        15.091087840166505,
        15.09358839057709,
        15.096088961101895,
        15.098589551815353,
        15.101090162791891,
        15.103590794105939,
        15.106091445831927,
        15.108592118044283,
        15.111092810817437,
        15.11359352422582,
        15.11609425834386,
        15.118595013245983,
        15.121095789006622,
        15.123596585700207,
        15.126097403401165,
        15.128598242183925,
        15.131099102122917,
        15.133599983292571,
        15.136100885767316,
        15.13860180962158,
        15.141102754929793,
        15.143603721766386,
        15.146104710205787,
        15.148605720322422,
        15.151106752190726,
        15.153607805885125,
        15.156108881480048,
        15.158609979049926,
        15.161111098669187,
        15.16361224041226,
        15.166113404353574,
        15.168614590567561,
        15.171115799128646,
        15.173617030111263,
        15.17611828358984,
        15.178619559638802,
        15.181120858332582,
        15.183622179745612,
        15.186123523952313,
        15.188624891027121,
        15.191126281044465,
        15.19362769407877,
        15.19612913020447,
        15.198630589495993,
        15.201132072027766,
        15.203633577874221,
        15.206135107109786,
        15.208636659808889,
        15.211138236045961,
        15.213639835895432,
        15.216141459431729,
        15.218643106729282,
        15.221144777862522,
        15.223646472905877,
        15.226148191933774,
        15.228649935020645,
        15.23115170224092,
        15.233653493669026,
        15.236155309379393,
        15.238657149446452,
        15.241159013944628,
        15.243660902948356,
        15.246162816532062,
        15.248664754770173,
        15.251166717737123,
        15.253668705507339,
        15.256170718155248,
        15.258672755755285,
        15.261174818381875,
        15.263676906109445,
        15.26617901901243,
        15.268681157165258,
        15.271183320642354,
        15.273685509518153,
        15.27618772386708,
        15.278689963763565,
        15.281192229282038,
        15.28369452049693,
        15.286196837482667,
        15.288699180313678,
        15.291201549064397,
        15.29370394380925,
        15.296206364622666,
        15.298708811579075,
        15.301211284752906,
        15.303713784218587,
        15.306216310050551,
        15.308718862323223,
        15.311221441111035,
        15.313724046488415,
        15.316226678529793,
        15.318729337309598,
        15.321232022902258,
        15.323734735382207,
        15.326237474823866,
        15.328740241301672,
        15.33124303489005,
        15.33374585566343,
        15.336248703696244,
        15.338751579062917,
        15.34125448183788,
        15.343757412095565,
        15.346260369910397,
        15.348763355356807,
        15.351266368509226,
        15.35376940944208,
        15.3562724782298,
        15.358775574946815,
        15.361278699667556,
        15.363781852466449,
        15.366285033417924,
        15.368788242596414,
        15.371291480076344,
        15.373794745932145,
        15.376298040238247,
        15.378801363069076,
        15.381304714499064,
        15.383808094602642,
        15.386311503454236,
        15.388814941128274,
        15.39131840769919,
        15.39382190324141,
        15.396325427829364,
        15.398828981537482,
        15.401332564440192,
        15.403836176611925,
        15.406339818127108,
        15.408843489060173,
        15.411347189485546,
        15.413850919477659,
        15.416354679110938,
        15.418858468459817,
        15.421362287598722,
        15.423866136602083,
        15.426370015544329,
        15.42887392449989,
        15.431377863543196,
        15.433881832748671,
        15.436385832190751,
        15.438889861943863,
        15.441393922082435,
        15.443898012680897,
        15.446402133813681,
        15.44890628555521,
        15.451410467979919,
        15.453914681162235,
        15.456418925176587,
        15.458923200097404,
        15.461427505999119,
        15.463931842956155,
        15.466436211042945,
        15.468940610333918,
        15.471445040903504,
        15.47394950282613,
        15.476453996176225,
        15.478958521028224,
        15.48146307745655,
        15.483967665535634,
        15.486472285339905,
        15.488976936943795,
        15.491481620421728,
        15.49398633584814,
        15.496491083297453,
        15.498995862844104,
        15.501500674562516,
        15.50400551852712,
        15.506510394812345,
        15.509015303492625,
        15.51152024464238,
        15.514025218336048,
        15.516530224648054,
        15.519035263652826,
        15.521540335424797,
        15.524045440038396,
        15.526550577568049,
        15.529055748088188,
        15.531560951673242,
        15.534066188397636,
        15.536571458335805,
        15.539076761562178,
        15.541582098151181,
        15.544087468177244,
        15.546592871714799,
        15.549098308838271,
        15.551603779622091,
        15.55410928414069,
        15.556614822468497,
        15.559120394679939,
        15.561626000849447,
        15.56413164105145,
        15.566637315360374,
        15.569143023850655,
        15.570709915111959,
        15.573214069877384,
        15.575718205189318,
        15.578222321088864,
        15.58072641761713,
        15.583230494815222,
        15.585734552724247,
        15.588238591385306,
        15.59074261083951,
        15.593246611127963,
        15.595750592291768,
        15.598254554372037,
        15.60075849740987,
        15.603262421446377,
        15.60576632652266,
        15.608270212679829,
        15.610774079958986,
        15.61327792840124,
        15.615781758047696,
        15.61828556893946,
        15.620789361117634,
        15.62329313462333,
        15.62579688949765,
        15.628300625781701,
        15.630804343516589,
        15.633308042743419,
        15.635811723503297,
        15.63831538583733,
        15.640819029786623,
        15.643322655392282,
        15.645826262695412,
        15.648329851737122,
        15.650833422558513,
        15.653336975200695,
        15.65584050970477,
        15.65834402611185,
        15.660847524463033,
        15.663351004799432,
        15.665854467162148,
        15.66835791159229,
        15.670861338130962,
        15.673364746819269,
        15.675868137698318,
        15.678371510809217,
        15.680874866193069,
        15.683378203890978,
        15.685881523944056,
        15.688384826393404,
        15.690888111280131,
        15.69339137864534,
        15.695894628530137,
        15.698397860975629,
        15.700901076022923,
        15.703404273713122,
        15.705907454087335,
        15.708410617186665,
        15.71091376305222,
        15.713416891725105,
        15.715920003246424,
        15.718423097657288,
        15.720926174998798,
        15.72342923531206,
        15.725932278638183,
        15.728435305018271,
        15.73093831449343,
        15.733441307104766,
        15.735944282893383,
        15.738447241900392,
        15.740950184166891,
        15.743453109733993,
        15.7459560186428,
        15.74845891093442,
        15.75096178664996,
        15.753464645830519,
        15.75596748851721,
        15.758470314751136,
        15.760973124573404,
        15.763475918025119,
        15.765978695147387,
        15.768481455981314,
        15.770984200568005,
        15.773486928948568,
        15.775989641164106,
        15.778492337255726,
        15.780995017264534,
        15.783497681231637,
        15.78600032919814,
        15.788502961205149,
        15.791005577293769,
        15.793508177505107,
        15.796010761880266,
        15.798513330460358,
        15.801015883286482,
        15.803518420399747,
        15.80602094184126,
        15.808523447652124,
        15.811025937873449,
        15.813528412546336,
        15.816030871711893,
        15.818533315411228,
        15.821035743685444,
        15.823538156575648,
        15.826040554122944,
        15.828542936368441,
        15.831045303353243,
        15.833547655118457,
        15.836049991705186,
        15.838552313154539,
        15.84105461950762,
        15.843556910805537,
        15.846059187089393,
        15.848561448400297,
        15.851063694779352,
        15.853565926267665,
        15.856068142906341,
        15.858570344736489,
        15.861072531799211,
        15.863574704135615,
        15.866076861786805,
        15.86857900479389,
        15.871081133197974,
        15.873583247040163,
        15.876085346361561,
        15.878587431203275,
        15.881089501606414,
        15.883591557612082,
        15.88609359926138,
        15.888595626595421,
        15.891097639655309,
        15.893599638482145,
        15.89610162311704,
        15.898603593601102,
        15.90110554997543,
        15.903607492281134,
        15.906109420559318,
        15.90861133485109,
        15.911113235197554,
        15.913615121639817,
        15.916116994218985,
        15.918618852976161,
        15.921120697952455,
        15.923622529188972,
        15.926124346726814,
        15.928626150607093,
        15.931127940870908,
        15.933629717559372,
        15.936131480713586,
        15.938633230374657,
        15.941134966583691,
        15.943636689381794,
        15.946138398810072,
        15.94864009490963,
        15.951141777721576,
        15.953643447287012,
        15.956145103647048,
        15.958646746842787,
        15.961148376915336,
        15.9636499939058,
        15.966151597855287,
        15.9686531888049,
        15.971154766795749,
        15.973656331868936,
        15.976157884065568,
        15.97865942342675,
        15.981160949993589,
        15.98366246380719,
        15.98616396490866,
        15.988665453339106,
        15.99116692913963,
        15.993668392351342,
        15.996169843015345,
        15.998671281172744,
        16.001172706864647,
        16.00367412013216,
        16.00617552101639,
        16.008676909558442,
        16.011178285799417,
        16.01367964978043,
        16.016181001542577,
        16.018682341126972,
        16.021183668574714,
        16.023684983926916,
        16.026186287224675,
        16.028687578509107,
        16.031188857821313,
        16.033690125202398,
        16.036191380693467,
        16.038692624335628,
        16.041193856169986,
        16.043695076237647,
        16.046196284579718,
        16.048697481237305,
        16.051198666251512,
        16.053699839663444,
        16.05620100151421,
        16.058702151844912,
        16.06120329069666,
        16.06370441811056,
        16.066205534127715,
        16.06870663878923,
        16.071207732136212,
        16.07370881420977,
        16.076209885051007,
        16.078710944701026,
        16.081211993200938,
        16.08371303059185,
        16.086214056914862,
        16.088715072211084,
        16.09121607652162,
        16.093717069887575,
        16.096218052350054,
        16.09871902395017,
        16.10121998472902,
        16.10372093472772,
        16.106221873987362,
        16.108722802549064,
        16.111223720453925,
        16.113724627743053,
        16.116225524457555,
        16.118726410638537,
        16.121227286327105,
        16.12372815156436,
        16.126229006391412,
        16.128729850849368,
        16.131230684979332,
        16.13373150882241,
        16.13623232241971,
        16.13873312581233,
        16.141233919041387,
        16.14373470214798,
        16.146235475173214,
        16.1487362381582,
        16.15123699114404,
        16.15373773417184,
        16.156238467282712,
        16.15873919051775,
        16.16123990391807,
        16.163740607524772,
        16.166241301378967,
        16.168741985521756,
        16.17124265999425,
        16.173743324837545,
        16.17624398009276,
        16.17874462580099,
        16.18124526200335,
        16.18374588874094,
        16.186246506054864,
        16.188747113986235,
        16.191247712576153,
        16.193748301865725,
        16.196248881896057,
        16.198749452708256,
        16.20125001434343,
        16.20375056684268,
        16.206251110247113,
        16.208751644597836,
        16.211252169935953,
        16.213752686302577,
        16.216253193738805,
        16.218753692285745,
        16.221254181984506,
        16.22375466287619,
        16.226255135001907,
        16.22875559840276,
        16.231256053119854,
        16.233756499194296,
        16.236256936667196,
        16.23875736557965,
        16.241257785972778,
        16.243758197887672,
        16.246258601365447,
        16.2487589964472,
        16.251259383174048,
        16.25375976158709,
        16.25626013172743,
        16.25876049363618,
        16.261260847354443,
        16.263761192923322,
        16.26626153038393,
        16.268761859777364,
        16.271262181144735,
        16.27376249452715,
        16.276262799965714,
        16.27876309750153,
        16.281263387175702,
        16.283763669029344,
        16.286263943103556,
        16.288764209439446,
        16.29126446807812,
        16.29376471906068,
        16.296264962428236,
        16.298765198221894,
        16.301265426482757,
        16.303765647251932,
        16.306265860570527,
        16.308766066479645,
        16.311266265020393,
        16.313766456233875,
        16.316266640161203,
        16.318766816843475,
        16.321266986321803,
        16.323767148637288,
        16.326267303831038,
        16.32876745194416,
        16.331267593017756,
        16.33376772709294,
        16.33626785421081,
        16.338767974412473,
        16.34126808773904,
        16.343768194231608,
        16.34626829393129,
        16.34876838687919,
        16.351268473116413,
        16.353768552684066,
        16.356268625623258,
        16.358768691975087,
        16.361268751780663,
        16.363768805081094,
        16.366268851917482,
        16.368768892330937,
        16.37126892636256,
        16.37376895405346,
        16.376268975444745,
        16.378768990577516,
        16.381268999492878,
        16.383769002231944,
        16.386268998835813,
        16.388768989345596,
        16.391268973802394,
        16.393768952247317,
        16.39626892472147,
        16.398768891265956,
        16.401268851921884,
        16.403768806730355,
        16.406268755732484,
        16.408768698969368,
        16.411268636482117,
        16.413768568311838,
        16.416268494499633,
        16.41876841508661,
        16.421268330113875,
        16.423768239622532,
        16.42626814365369,
        16.428768042248453,
        16.431267935447927,
        16.433767823293216,
        16.436267705825433,
        16.438767583085674,
        16.441267455115053,
        16.44376732195467,
        16.44626718364563,
        16.448767040229047,
        16.451266891746023,
        16.45376673823766,
        16.45626657974507,
        16.458766416309352,
        16.461266247971615,
        16.463766074772966,
        16.46626589675451,
        16.468765713957353,
        16.471265526422602,
        16.473765334191363,
        16.476265137304736,
        16.478764935803834,
        16.481264729729762,
        16.48376451912362,
        16.486264304026523,
        16.48876408447957,
        16.491263860523866,
        16.493763632200523,
        16.496263399550642,
        16.49876316261533,
        16.501262921435693,
        16.503762676052837,
        16.506262426507867,
        16.50876217284189,
        16.511261915096014,
        16.51376165331134,
        16.516261387528978,
        16.51876111779003,
        16.521260844135607,
        16.52376056660681,
        16.526260285244746,
        16.52876000009052,
        16.531259711185243,
        16.533759418570018,
        16.536259122285948,
        16.538758822374138,
        16.5412585188757,
        16.543758211831737,
        16.546257901283354,
        16.54875758727166,
        16.551257269837755,
        16.55375694902275,
        16.556256624867746,
        16.558756297413854,
        16.561255966702177,
        16.563755632773823,
        16.566255295669894,
        16.5687549554315,
        16.571254612099743,
        16.573754265715735,
        16.576253916320574,
        16.578753563955374,
        16.581253208661234,
        16.58375285047926,
        16.586252489450562,
        16.588752125616246,
        16.591251759017414,
        16.593751389695175,
        16.596251017690633,
        16.598750643044895,
        16.601250265799067,
        16.603749885994254,
        16.606249503671563,
        16.608749118872097,
        16.611248731636962,
        16.61374834200727,
        16.61624795002412,
        16.61874755572862,
        16.62124715916188,
        16.623746760364998,
        16.62624635937909,
        16.628745956245247,
        16.63124555100459,
        16.633745143698217,
        16.636244734367235,
        16.63874432305275,
        16.641243909795868,
        16.643743494637697,
        16.64624307761934,
        16.648742658781902,
        16.651242238166493,
        16.653741815814215,
        16.656241391766173,
        16.65874096606348,
        16.661240538747233,
        16.663740109858544,
        16.66623967943852,
        16.668739247528258,
        16.67123881416887,
        16.673738379401463,
        16.67623794326714,
        16.67873750580701,
        16.681237067062174,
        16.683736627073742,
        16.68623618588282,
        16.68873574353051,
        16.691235300057922,
        16.69373485550616,
        16.69623440991633,
        16.698733963329538,
        16.70123351578689,
        16.70373306732949,
        16.706232617998445,
        16.708732167834864,
        16.71123171687985,
        16.713731265174506,
        16.716230812759942,
        16.718730359677267,
        16.721229905967576,
        16.723729451671986,
        16.726228996831598,
        16.728728541487516,
        16.731228085680847,
        16.7337276294527,
        16.736227172844178,
        16.73872671589639,
        16.741226258650435,
        16.743725801147427,
        16.746225343428467,
        16.748724885534664,
        16.75122442750712,
        16.75372396938694,
        16.756223511215236,
        16.758723053033112,
        16.76122259488167,
        16.763722136802016,
        16.76622167883526,
        16.768721221022506,
        16.771220763404862,
        16.773720306023428,
        16.776219848919315,
        16.778719392133628,
        16.78121893570747,
        16.78371847968195,
        16.786218024098172,
        16.788717568997246,
        16.79121711442027,
        16.793716660408357,
        16.79621620700261,
        16.79871575424414,
        16.801215302174043,
        16.80371485083343,
        16.806214400263404,
        16.808713950505076,
        16.811213501599553,
        16.813713053587932,
        16.81621260651133,
        16.81871216041084,
        16.82121171532758,
        16.82371127130265,
        16.826210828377157,
        16.828710386592203,
        16.831209945988903,
        16.83370950660835,
        16.836209068491662,
        16.83870863167994,
        16.84120819621429,
        16.843707762135814,
        16.846207329485622,
        16.848706898304822,
        16.851206468634516,
        16.85370604051581,
        16.856205613989815,
        16.858705189097627,
        16.861204765880363,
        16.86370434437912,
        16.866203924635006,
        16.86870350668913,
        16.871203090582597,
        16.873702676356512,
        16.87620226405198,
        16.87870185371011,
        16.881201445372,
        16.883701039078765,
        16.886200634871507,
        16.88870023279133,
        16.891199832879344,
        16.893699435176654,
        16.89619903972436,
        16.898698646563577,
        16.901198255735405,
        16.90369786728095,
        16.90619748124132,
        16.90869709765762,
        16.911196716570956,
        16.913696338022433,
        16.91619596205316,
        16.918695588704235,
        16.921195218016774,
        16.923694850031875,
        16.92619448479065,
        16.928694122334196,
        16.93119376270363,
        16.93369340594005,
        16.936193052084565,
        16.938692701178283,
        16.941192353262302,
        16.943692008377738,
        16.94619166656569,
        16.948691327867262,
        16.951190992323568,
        16.953690659975706,
        16.956190330864786,
        16.958690005031915,
        16.961189682518196,
        16.963689363364736,
        16.966189047612637,
        16.968688735303015,
        16.971188426476964,
        16.9736881211756,
        16.976187819440018,
        16.978687521311333,
        16.98118722683065,
        16.98368693603907,
        16.9861866489777,
        16.98868636568765,
        16.99118608621002,
        16.993685810585923,
        16.996185538856462,
        16.998685271062737,
        17.001185007245862,
        17.00368474744694,
        17.006184491707074,
        17.00868424006737,
        17.01118399256894,
        17.013683749252888,
        17.016183510160314,
        17.018683275332325,
        17.021183044810034,
        17.02368281863454,
        17.026182596846954,
        17.028682379488377,
        17.03118216659992,
        17.03368195822268,
        17.036181754397774,
        17.0386815551663,
        17.041181360569365,
        17.043681170648078,
        17.04618098544354,
        17.048680804996867,
        17.05118062934915,
        17.053680458541507,
        17.05618029261504,
        17.058680131610853,
        17.061179975570052,
        17.063679824533747,
        17.066179678543037,
        17.068679537639035,
        17.071179401862842,
        17.073679271255568,
        17.076179145858312,
        17.078679025712187,
        17.0811789108583,
        17.083678801337747,
        17.08617869719164,
        17.088678598461087,
        17.09117850518719,
        17.093678417411056,
        17.096178335173793,
        17.098678258516504,
        17.101178187480297,
        17.103678122106274,
        17.106178062435546,
        17.108678008509216,
        17.11117796036839,
        17.113677918054176,
        17.116177881607676,
        17.11867785107,
        17.12117782648225,
        17.123677807885535,
        17.126177795320956,
        17.128677788829627,
        17.131177788452646,
        17.133677794231126,
        17.136177806206163,
        17.138677824418874,
        17.141177848910356,
        17.14367787972172,
        17.14617791689407,
        17.148677960468515,
        17.151178010486156,
        17.1536780669881,
        17.156178130015455,
        17.158678199609326,
        17.161178275810816,
        17.163678358661038,
        17.166178448201087,
        17.16867854447208,
        17.171178647515116,
        17.173678757371302,
        17.176178874081746,
        17.178678997687552,
        17.18117912822983,
        17.183679265749678,
        17.186179410288204,
        17.18867956188652,
        17.191179720585726,
        17.19367988642693,
        17.19618005945124,
        17.198680239699755,
        17.20118042721359,
        17.203680622033843,
        17.206180824201624,
        17.208681033758037,
        17.21118125074419,
        17.213681475201184,
        17.216181707170133,
        17.218681946692136,
        17.2211821938083,
        17.223682448559735,
        17.22618271098754,
        17.228682981132827,
        17.2311832590367,
        17.233683544740263,
        17.236183838284624,
        17.238684139710887,
        17.24118444906016,
        17.243684766373548,
        17.24618509169216,
        17.24868542505709,
        17.251185766509458,
        17.253686116090364,
        17.256186473840913,
        17.258686839802213,
        17.26118721401537,
        17.263687596521486,
        17.26618798736167,
        17.26868838657703,
        17.271188794208665,
        17.273689210297686,
        17.2761896348852,
        17.27869006801231,
        17.281190509720123,
        17.283690960049743,
        17.28619141904228,
        17.288691886738835,
        17.291192363180517,
        17.293692848408433,
        17.296193342463685,
        17.29869384538738,
        17.301194357220623,
        17.303694878004524,
        17.306195407780187,
        17.308695946588713,
        17.311196494471215,
        17.313697051468797,
        17.31619761762256,
        17.318698192973617,
        17.32119877756307,
        17.323699371432024,
        17.326199974621584,
        17.32870058717286,
        17.33120120912696,
        17.33370184052498,
        17.336202481408034,
        17.338703131817226,
        17.34120379179366,
        17.343704461378444,
        17.34620514061268,
        17.34870582953748,
        17.351206528193945,
        17.353707236623183,
        17.3562079548663,
        17.3587086829644,
        17.36120942095859,
        17.363710168889977,
        17.366210926799667,
        17.368711694728763,
        17.371212472718373,
        17.373713260809602,
        17.37621405904356,
        17.37871486746134,
        17.381215686104067,
        17.383716515012832,
        17.386217354228748,
        17.388718203792916,
        17.391219063746444,
        17.393719934130438,
        17.396220814986005,
        17.39872170635425,
        17.40122260827628,
        17.4037235207932,
        17.406224443946115,
        17.40872537777613,
        17.411226322324353,
        17.41372727763189,
        17.416228243739845,
        17.418729220689325,
        17.421230208521436,
        17.423731207277285,
        17.426232216997974,
        17.428733237724614,
        17.431234269498304,
        17.433735312360156,
        17.436236366351274,
        17.438737431512763,
        17.441238507885732,
        17.443739595511282,
        17.44624069443052,
        17.44874180468456,
        17.451242926314492,
        17.453744059361437,
        17.456245203866494,
        17.458746359870766,
        17.461247527415367,
        17.463748706541395,
        17.46624989728996,
        17.468751099702168,
        17.47125231381912,
        17.47375353968193,
        17.476254777331697,
        17.47875602680953,
        17.481257288156534,
        17.48375856141382,
        17.486259846622485,
        17.488761143823638,
        17.491262453058386,
        17.493763774367835,
        17.49626510779309,
        17.498766453375257,
        17.501267811155444,
        17.503769181174754,
        17.506270563474295,
        17.50877195809517,
        17.511273365078488,
        17.51377478446535,
        17.51627621629687,
        17.518777660614145,
        17.52127911745829,
        17.5237805868704,
        17.52628206889159,
        17.52878356356296,
        17.531285070925623,
        17.53378659102068,
        17.536288123889232,
        17.53878966957239,
        17.541291228111266,
        17.543792799546956,
        17.546294383920568,
        17.548795981273212,
        17.55129759164599,
        17.553799215080012,
        17.556300851616378,
        17.5588025012962,
        17.561304164160575,
        17.56380584025062,
        17.566307529607432,
        17.568809232272123,
        17.571310948285795,
        17.573812677689553,
        17.576314420524508,
        17.57881617683176,
        17.58131794665242,
        17.583819730027592,
        17.58632152699838,
        17.588823337605888,
        17.59132516189123,
        17.593826999895505,
        17.59632885165982,
        17.598830717225283,
        17.601332596632997,
        17.60383448992407,
        17.606336397139607,
        17.608838318320714,
        17.611340253508494,
        17.61384220274406,
        17.61634416606851,
        17.61884614352296,
        17.6213481351485,
        17.623850140986253,
        17.626352161077314,
        17.62885419546279,
        17.63135624418379,
        17.63385830728142,
        17.636360384796784,
        17.63886247677099,
        17.64136458324514,
        17.64386670426034,
        17.6463688398577,
        17.648870990078326,
        17.651373154963316,
        17.65387533455379,
        17.656377528890836,
        17.658879738015575,
        17.661381961969102,
        17.66388420079253,
        17.666386454526968,
        17.668888723213513,
        17.671391006893273,
        17.673893305607354,
        17.676395619396867,
        17.67889794830291,
        17.681400292366597,
        17.68390265162903,
        17.68640502613131,
        17.68890741591455,
        17.691409821019853,
        17.693912241488327,
        17.696414677361073,
        17.698917128679202,
        17.701419595483816,
        17.703922077816024,
        17.70642457571693,
        17.708927089227643,
        17.71142961838926,
        17.7139321632429,
        17.716434723829657,
        17.718937300190643,
        17.721439892366963,
        17.723942500399723,
        17.726445124330027,
        17.728947764198985,
        17.731450420047697,
        17.73395309191727,
        17.736455779848818,
        17.738958483883437,
        17.741461204062237,
        17.743963940426323,
        17.7464666930168,
        17.748969461874776,
        17.751472247041356,
        17.753975048557646,
        17.75647786646475,
        17.75898070080378,
        17.761483551615832,
        17.763986418942018,
        17.766489302823445,
        17.768992203301217,
        17.77149512041644,
        17.773998054210217,
        17.776501004723656,
        17.779003971997867,
        17.78150695607395,
        17.784009956993014,
        17.786512974796164,
        17.789016009524506,
        17.791519061219145,
        17.794022129921185,
        17.796525215671736,
        17.7990283185119,
        17.80153143848279,
        17.804034575625508,
        17.806537729981155,
        17.80904090159084,
        17.81154409049567,
        17.81404729673675,
        17.81655052035519,
        17.819053761392087,
        17.821557019888555,
        17.824060295885694,
        17.826563589424616,
        17.829066900546422,
        17.83157022929222,
        17.834073575703112,
        17.836576939820212,
        17.839080321684616,
        17.841583721337436,
        17.84408713881978,
        17.846590574172748,
        17.84909402743745,
        17.85159749865499,
        17.85410098786647,
        17.856604495113004,
        17.85910802043569,
        17.86161156387564,
        17.86411512547396,
        17.866618705271748,
        17.869122303310117,
        17.871625919630173,
        17.87412955427302,
        17.876633207279763,
        17.879136878691508,
        17.88164056854936,
        17.88414427689443,
        17.886648003767817,
        17.889151749210633,
        17.891655513263977,
        17.89415929596896,
        17.89666309736669,
        17.89916691749827,
        17.9016707564048,
        17.904174614127395,
        17.906678490707154,
        17.90918238618519,
        17.911686300602604,
        17.9141902340005,
        17.91669418641999,
        17.91919815790217,
        17.92170214848816,
        17.92420615821905,
        17.92671018713596,
        17.929214235279986,
        17.93171830269224,
        17.934222389413826,
        17.93672649548585,
        17.939230620949413,
        17.941734765845627,
        17.944238930215597,
        17.94674311410043,
        17.949247317541225,
        17.951751540579096,
        17.954255783255142,
        17.956760045610473,
        17.959264327686196,
        17.961768629523412,
        17.964272951163235,
        17.96677729264676,
        17.969281654015102,
        17.971786035309364,
        17.974290436570648,
        17.976794857840066,
        17.97929929915872,
        17.98499164366387,
        17.990985485876436,
        17.99697938860388,
        18.002973351645124,
        18.008967374799102,
        18.01496145786474,
        18.02095560064096,
        18.026949802926694,
        18.032944064520866,
        18.03893838522241,
        18.044932764830243,
        18.050927203143296,
        18.056921699960498,
        18.06291625508078,
        18.068910868303057,
        18.07490553942627,
        18.080900268249334,
        18.086895054571183,
        18.09288989819074,
        18.09888479890694,
        18.104879756518702,
        18.110874770824957,
        18.116869841624627,
        18.122864968716648,
        18.12886015189994,
        18.13485539097343,
        18.140850685736048,
        18.146846035986723,
        18.152841441524377,
        18.15883690214794,
        18.16483241765634,
        18.1708279878485,
        18.17682361252335,
        18.18281929147982,
        18.18881502451683,
        18.194810811433314,
        18.200806652028195,
        18.2068025461004,
        18.212798493448858,
        18.218794493872497,
        18.22479054717024,
        18.230786653141017,
        18.236782811583755,
        18.24277902229738,
        18.24877528508082,
        18.254771599733004,
        18.260767966052853,
        18.266764383839302,
        18.272760852891274,
        18.278757373007693,
        18.28475394398749,
        18.290750565629594,
        18.296747237732927,
        18.302743960096418,
        18.308740732519,
        18.31473755479959,
        18.32073442673712,
        18.326731348130515,
        18.332728318778706,
        18.338725338480618,
        18.344722407035178,
        18.350719524241313,
        18.35671668989795,
        18.36271390380402,
        18.368711165758445,
        18.37470847556015,
        18.38070583300807,
        18.386703237901123,
        18.392700690038247,
        18.398698189218358,
        18.404695735240388,
        18.410693327903267,
        18.41669096700592,
        18.42268865234727,
        18.428686383726248,
        18.43468416094178,
        18.440681983792796,
        18.44667985207822,
        18.452677765596977,
        18.458675724147998,
        18.46467372753021,
        18.470671775542538,
        18.47666986798391,
        18.482668004653256,
        18.488666185349494,
        18.494664409871564,
        18.500662678018383,
        18.50666098958888,
        18.512659344381987,
        18.518657742196627,
        18.524656182831727,
        18.530654666086214,
        18.536653191759015,
        18.54265175964906,
        18.548650369555276,
        18.554649021276585,
        18.560647714611918,
        18.566646449360203,
        18.57264522532036,
        18.57864404229133,
        18.584642900072026,
        18.59064179846138,
        18.596640737258323,
        18.602639716261777,
        18.60863873527067,
        18.614637794083933,
        18.62063689250049,
        18.626636030319265,
        18.63263520733919,
        18.63863442335919,
        18.644633678178195,
        18.650632971595126,
        18.656632303408916,
        18.66263167341849,
        18.66863108142277,
        18.674630527220692,
        18.68063001061118,
        18.68662953139316,
        18.692629089365557,
        18.6986286843273,
        18.704628316077315,
        18.710627984414533,
        18.71662768913788,
        18.72262743004628,
        18.72862720693866,
        18.73462701961395,
        18.74062686787108,
        18.746626751508966,
        18.752626670326546,
        18.75862662412274,
        18.764626612696482,
        18.770626635846693,
        18.776626693372304,
        18.78262678507224,
        18.78862691074543,
        18.794627070190796,
        18.800627263207268,
        18.806627489593776,
        18.812627749149247,
        18.818628041672604,
        18.824628366962777,
        18.83062872481869,
        18.836629115039273,
        18.842629537423452,
        18.848629991770157,
        18.85463047787831,
        18.860630995546842,
        18.866631544574677,
        18.872632124760745,
        18.87863273590397,
        18.884633377803283,
        18.89063405025761,
        18.896634753065875,
        18.90263548602701,
        18.908636248939935,
        18.914637041603584,
        18.92063786381688,
        18.926638715378754,
        18.932639596088126,
        18.938640505743933,
        18.944641444145095,
        18.950642411090538,
        18.956643406379197,
        18.96264442980999,
        18.96864548118185,
        18.974646560293703,
        18.98064766694447,
        18.98664880093309,
        18.99264996205848,
        18.99865115011957,
        19.00465236491529,
        19.010653606244567,
        19.016654873906322,
        19.022656167699488,
        19.028657487422986,
        19.03465883287575,
        19.040660203856703,
        19.046661600164775,
        19.052663021598892,
        19.05866446795798,
        19.064665939040964,
        19.070667434646776,
        19.076668954574338,
        19.082670498622583,
        19.088672066590433,
        19.094673658276818,
        19.10067527348066,
        19.106676912000896,
        19.112678573636444,
        19.118680258186235,
        19.124681965449195,
        19.130683695224253,
        19.136685447310334,
        19.142687221506364,
        19.148689017611275,
        19.154690835423988,
        19.160692674743434,
        19.16669453536854,
        19.17269641709823,
        19.17869831973143,
        19.184700243067077,
        19.190702186904087,
        19.196704151041395,
        19.20270613527792,
        19.208708139412597,
        19.214710163244348,
        19.220712206572102,
        19.226714269194787,
        19.23271635091133,
        19.238718451520654,
        19.24472057082169,
        19.250722708613363,
        19.256724864694604,
        19.262727038864337,
        19.268729230921487,
        19.274731440664986,
        19.28073366789376,
        19.28673591240673,
        19.29273817400283,
        19.298740452480985,
        19.304742747640123,
        19.31074505927917,
        19.316747387197054,
        19.322749731192697,
        19.328752091065034,
        19.33475446661299,
        19.340756857635487,
        19.346759263931457,
        19.352761685299825,
        19.35876412153952,
        19.364766572449465,
        19.37076903782859,
        19.376771517475824,
        19.382774011190094,
        19.38877651877032,
        19.39477904001544,
        19.400781574724373,
        19.40678412269605,
        19.412786683729394,
        19.418789257623335,
        19.4247918441768,
        19.430794443188713,
        19.436797054458008,
        19.442799677783608,
        19.44880231296444,
        19.45480495979943,
        19.460807618087504,
        19.46681028762759,
        19.472812968218623,
        19.47881565965952,
        19.484818361749213,
        19.490821074286625,
        19.496823797070686,
        19.502826529900325,
        19.508829272574467,
        19.514832024892037,
        19.520834786651967,
        19.526837557653177,
        19.5328403376946,
        19.538843126575163,
        19.544845924093792,
        19.55084873004941,
        19.55685154424095,
        19.562854366467338,
        19.568857196527496,
        19.574860034220357,
        19.580862879344846,
        19.58686573169989,
        19.592868591084418,
        19.598871457297353,
        19.604874330137623,
        19.61087720940416,
        19.616880094895883,
        19.622882986411728,
        19.628885883750613,
        19.634888786711475,
        19.64089169509323,
        19.646894608694815,
        19.652897527315154,
        19.65890045075317,
        19.664903378807793,
        19.670906311277953,
        19.676909247962573,
        19.68291218866058,
        19.688915133170905,
        19.69491808129247,
        19.70092103282421,
        19.70692398756504,
        19.712926945313896,
        19.718929905869704,
        19.72493286903139,
        19.730935834597883,
        19.736938802368105,
        19.742941772140988,
        19.748944743715455,
        19.754947716890438,
        19.76095069146486,
        19.76695366723765,
        19.77295664400774,
        19.778959621574042,
        19.7849625997355,
        19.790965578291033,
        19.796968557039566,
        19.80297153578003,
        19.808974514311352,
        19.81497749243246,
        19.820980469942278,
        19.826983446639733,
        19.832986422323756,
        19.838989396793274,
        19.844992369847205,
        19.850995341284488,
        19.856998310904043,
        19.8630012785048,
        19.869004243885684,
        19.875007206845623,
        19.881010167183547,
        19.887013124698377,
        19.893016079189046,
        19.899019030454475,
        19.905021978293597,
        19.911024922505337,
        19.917027862888624,
        19.92303079924238,
        19.929033731365536,
        19.935036659057015,
        19.94103958211575,
        19.947042500340665,
        19.95304541353069,
        19.959048321484744,
        19.965051224001762,
        19.97105412088067,
        19.97705701192039,
        19.983059896919855,
        19.98906277567799,
        19.995065647993723,
        20.001068513665977,
        20.007071372493684,
        20.01307422427577,
        20.01907706881116,
        20.02507990589878,
        20.031082735337566,
        20.037085556926435,
        20.043088370464314,
        20.04909117575014,
        20.05509397258283,
        20.061096760761316,
        20.067099540084524,
        20.07310231035138,
        20.07910507136081,
        20.08510782291175,
        20.091110564803117,
        20.09711329683384,
        20.103116018802847,
        20.109118730509067,
        20.115121431751426,
        20.12112412232885,
        20.127126802040266,
        20.133129470684604,
        20.139132128060787,
        20.145134773967744,
        20.151137408204406,
        20.157140030569693,
        20.163142640862535,
        20.16914523888186,
        20.175147824426595,
        20.181150397295667,
        20.187152957288,
        20.193155504202526,
        20.19915803783817,
        20.20516055799386,
        20.21116306446852,
        20.21716555706108,
        20.223168035570467,
        20.229170499795604,
        20.235172949535425,
        20.24117538458885,
        20.247177804754813,
        20.253180209832237,
        20.259182599620047,
        20.265184973917176,
        20.271187332522548,
        20.27718967523509,
        20.283192001853728,
        20.289194312177386,
        20.295196606005,
        20.30119888313549,
        20.30720114336779,
        20.31320338650082,
        20.31920561233351,
        20.325207820664783,
        20.331210011293575,
        20.337212184018803,
        20.343214338639402,
        20.349216474954297,
        20.355218592762412,
        20.361220691862677,
        20.367222772054017,
        20.37322483313536,
        20.379226874905637,
        20.38522889716377,
        20.391230899708685,
        20.397232882339313,
        20.40323484485458,
        20.409236787053416,
        20.41523870873474,
        20.421240609697488,
        20.427242489740582,
        20.43324434866295,
        20.439246186263517,
        20.445248002341216,
        20.45124979669497,
        20.457251569123706,
        20.46325331942635,
        20.469255047401834,
        20.475256752849077,
        20.481258435567014,
        20.48726009535457,
        20.49326173201067,
        20.499263345334242,
        20.505264935124213,
        20.511266501179513,
        20.51726804329906,
        20.523269561281793,
        20.529271054926635,
        20.535272524032507,
        20.541273968398343,
        20.54727538782307,
        20.55327678210561,
        20.559278151044893,
        20.56527949443985,
        20.571280812089398,
        20.577282103792474,
        20.583283369348003,
        20.589284608554905,
        20.595285821212116,
        20.60128700711856,
        20.607288166073165,
        20.613289297874854,
        20.61929040232256,
        20.625291479215203,
        20.631292528351718,
        20.637293549531027,
        20.643294542552056,
        20.649295507213736,
        20.65529644331499,
        20.661297350654753,
        20.667298229031942,
        20.673299078245492,
        20.679299898094325,
        20.68530068837737,
        20.691301448893554,
        20.697302179441802,
        20.703302879821045,
        20.70930354983021,
        20.71530418926822,
        20.721304797934003,
        20.727305375626493,
        20.733305922144606,
        20.739306437287276,
        20.74530692085343,
        20.751307372641993,
        20.757307792451893,
        20.763308180082056,
        20.76930853533141,
        20.775308857998887,
        20.781309147883405,
        20.787309404783894,
        20.793309628499287,
        20.799309818828505,
        20.805309975570474,
        20.811310098524125,
        20.817310187488385,
        20.823310242262178,
        20.829310262644434,
        20.835310248434077,
        20.841310199430037,
        20.84731011543124,
        20.853309996236618,
        20.85930984164509,
        20.865309651455586,
        20.871309425467032,
        20.87730916347836,
        20.88330886528849,
        20.889308530696354,
        20.895308159500882,
        20.901307751500994,
        20.907307306495618,
        20.913306824283683,
        20.919306304664122,
        20.92530574743585,
        20.931305152397805,
        20.937304519348906,
        20.943303848088085,
        20.94930313841427,
        20.950881401390447,
        20.95689234367233,
        20.962903175396054,
        20.968913896961215,
        20.974924508767415,
        20.980935011214253,
        20.98694540470133,
        20.992955689628246,
        20.998965866394606,
        21.0049759354,
        21.010985897044037,
        21.016995751726313,
        21.023005499846427,
        21.02901514180398,
        21.035024677998578,
        21.041034108829813,
        21.047043434697287,
        21.053052656000606,
        21.059061773139362,
        21.06507078651316,
        21.0710796965216,
        21.07708850356428,
        21.083097208040797,
        21.089105810350762,
        21.095114310893763,
        21.10112271006941,
        21.107131008277296,
        21.113139205917022,
        21.119147303388196,
        21.125155301090405,
        21.13116319942326,
        21.13717099878636,
        21.143178699579295,
        21.149186302201677,
        21.155193807053102,
        21.16120121453317,
        21.167208525041477,
        21.173215738977632,
        21.179222856741227,
        21.185229878731867,
        21.19123680534915,
        21.197243636992674,
        21.203250374062044,
        21.209257016956858,
        21.215263566076715,
        21.221270021821216,
        21.22727638458996,
        21.23328265478255,
        21.239288832798586,
        21.24529491903766,
        21.25130091389939,
        21.257306817783356,
        21.263312631089168,
        21.269318354216427,
        21.27532398756473,
        21.281329531533675,
        21.287334986522872,
        21.29334035293191,
        21.299345631160396,
        21.305350821607927,
        21.311355924674103,
        21.317360940758526,
        21.323365870260794,
        21.32937071358051,
        21.33537547111727,
        21.34138014327068,
        21.347384730440336,
        21.353389233025837,
        21.359393651426785,
        21.36539798604278,
        21.371402237273422,
        21.377406405518315,
        21.383410491177052,
        21.389414494649237,
        21.39541841633447,
        21.401422256632348,
        21.407426015942477,
        21.413429694664455,
        21.41943329319788,
        21.425436811942355,
        21.431440251297474,
        21.437443611662843,
        21.443446893438065,
        21.44945009702273,
        21.45545322281645,
        21.46145627121881,
        21.467459242629428,
        21.473462137447893,
        21.479464956073805,
        21.485467698906767,
        21.49147036634638,
        21.497472958792244,
        21.503475476643956,
        21.509477920301116,
        21.51548029016333,
        21.521482586630192,
        21.527484810101306,
        21.53348696097627,
        21.539489039654686,
        21.545491046536153,
        21.551492982020267,
        21.557494846506636,
        21.563496640394856,
        21.569498364084524,
        21.575500017975248,
        21.58150160246662,
        21.587503117958246,
        21.593504564849724,
        21.59950594354065,
        21.60550725443063,
        21.611508497919267,
        21.61750967440615,
        21.62351078429089,
        21.62951182797308,
        21.635512805852322,
        21.64151371832822,
        21.647514565800368,
        21.65351534866837,
        21.659516067331825,
        21.665516722190333,
        21.6715173136435,
        21.677517842090914,
        21.683518307932182,
        21.689518711566905,
        21.695519053394683,
        21.701519333815114,
        21.7075195532278,
        21.71351971203234,
        21.719519810628334,
        21.725519849415384,
        21.73151982879309,
        21.737519749161045,
        21.743519610918863,
        21.74951941446613,
        21.755519160202454,
        21.761518848527434,
        21.767518479840668,
        21.77351805454176,
        21.779517573030308,
        21.785517035705908,
        21.791516442968167,
        21.797515795216682,
        21.80351509285105,
        21.80951433627088,
        21.81551352587576,
        21.821512662065302,
        21.8275117452391,
        21.833510775796753,
        21.839509754137865,
        21.845508680662032,
        21.85150755576886,
        21.85750637985794,
        21.86350515332888,
        21.869503876581277,
        21.875502550014733,
        21.88150117402885,
        21.887499749023217,
        21.893498275397448,
        21.899496753551137,
        21.905495183883883,
        21.911493566795286,
        21.91749190268495,
        21.923490191952475,
        21.929488434997456,
        21.935486632219494,
        21.941484784018193,
        21.947482890793154,
        21.95348095294397,
        21.959478970870247,
        21.965476944971584,
        21.971474875647584,
        21.97747276329784,
        21.98347060832196,
        21.98946841111953,
        21.995466172090172,
        22.001463891633467,
        22.007461570149026,
        22.013459208036448,
        22.019456805695327,
        22.025454363525267,
        22.031451881925868,
        22.03744936129673,
        22.043446802037455,
        22.04944420454764,
        22.055441569226886,
        22.061438896474797,
        22.06743618669097,
        22.073433440275,
        22.079430657626496,
        22.08542783914505,
        22.091424985230272,
        22.097422096281754,
        22.1034191726991,
        22.109416214881904,
        22.115413223229773,
        22.121410198142307,
        22.127407140019102,
        22.13340404925976,
        22.139400926263882,
        22.145397771431067,
        22.15139458516092,
        22.15739136785303,
        22.163388119907008,
        22.169384841722447,
        22.175381533698953,
        22.181378196236125,
        22.187374829733557,
        22.19337143459085,
        22.199368011207618,
        22.205364559983444,
        22.211361081317936,
        22.21735757561069,
        22.223354043261313,
        22.2293504846694,
        22.235346900234553,
        22.24134329035637,
        22.247339655434455,
        22.2533359958684,
        22.25933231205782,
        22.2653286044023,
        22.271324873301445,
        22.27732111915486,
        22.28331734236214,
        22.289313543322884,
        22.2953097224367,
        22.301305880103175,
        22.307302016721923,
        22.313298132692537,
        22.319294228414616,
        22.325290304287762,
        22.33128636071158,
        22.337282398085662,
        22.34327841680961,
        22.34927441728303,
        22.355270399905514,
        22.361266365076666,
        22.36726231319609,
        22.37325824466338,
        22.379254159878137,
        22.385250059239965,
        22.39124594314846,
        22.397241812003223,
        22.403237666203857,
        22.40923350614996,
        22.41522933224113,
        22.42122514487697,
        22.42722094445708,
        22.43321673138106,
        22.439212506048506,
        22.445208268859027,
        22.451204020212217,
        22.457199760507674,
        22.463195490145,
        22.4691912095238,
        22.47518691904367,
        22.48118261910421,
        22.48717831010502,
        22.4931739924457,
        22.49916966652585,
        22.505165332745076,
        22.51116099150297,
        22.517156643199137,
        22.52315228823317,
        22.52914792700468,
        22.53514355991326,
        22.54113918735851,
        22.547134809740037,
        22.553130427457432,
        22.559126040910296,
        22.565121650498238,
        22.571117256620852,
        22.577112859677733,
        22.583108460068495,
        22.589104058192724,
        22.595099654450028,
        22.601095249240004,
        22.60709084296225,
        22.613086436016374,
        22.619082028801973,
        22.62507762171864,
        22.631073215165983,
        22.6370688095436,
        22.643064405251092,
        22.649060002688056,
        22.655055602254098,
        22.66105120434881,
        22.667046809371797,
        22.67304241772266,
        22.679038029800996,
        22.68503364600641,
        22.691029266738497,
        22.697024892396858,
        22.703020523381095,
        22.709016160090805,
        22.715011802925595,
        22.721007452285058,
        22.727003108568795,
        22.732998772176412,
        22.7389944435075,
        22.744990122961667,
        22.750985810938513,
        22.75698150783763,
        22.762977214058626,
        22.768972930001098,
        22.774968656064647,
        22.780964392648873,
        22.786960140153376,
        22.792955898977755,
        22.798951669521614,
        22.804947452184546,
        22.810943247366158,
        22.816939055466047,
        22.822934876883814,
        22.82893071201906,
        22.83492656127138,
        22.840922425040382,
        22.846918303725662,
        22.852914197726818,
        22.858910107443453,
        22.86490603327517,
        22.870901975621564,
        22.876897934882233,
        22.882893911456783,
        22.888889905744815,
        22.894885918145924,
        22.900881949059713,
        22.90687799888578,
        22.912874068023726,
        22.918870156873155,
        22.92486626583366,
        22.93086239530485,
        22.936858545686317,
        22.942854717377664,
        22.94885091077849,
        22.9548471262884,
        22.960843364306985,
        22.966839625233856,
        22.972835909468607,
        22.978832217410837,
        22.98482854946015,
        22.990824906016144,
        22.99682128747842,
        23.002817694246573,
        23.008814126720214,
        23.01481058529893,
        23.020807070382336,
        23.026803582370018,
        23.032800121661584,
        23.03879668865663,
        23.04479328375476,
        23.050789907355572,
        23.05678655985867,
        23.062783241663645,
        23.068779953170107,
        23.074776694777654,
        23.08077346688588,
        23.08677026989439,
        23.092767104202782,
        23.09876397021066,
        23.10476086831762,
        23.110757798923263,
        23.116754762427192,
        23.122751759229008,
        23.128748789728302,
        23.134745854324684,
        23.14074295341775,
        23.146740087407096,
        23.15273725669233,
        23.158734461673053,
        23.164731702748853,
        23.170728980319346,
        23.176726294784117,
        23.182723646542776,
        23.188721035994924,
        23.194718463540152,
        23.200715929578067,
        23.20671343450827,
        23.212710978730357,
        23.21870856264393,
        23.22470618664859,
        23.230703851143936,
        23.236701556529567,
        23.242699303205086,
        23.248697091570094,
        23.254694922024186,
        23.260692794966964,
        23.26669071079803,
        23.272688669916985,
        23.278686672723424,
        23.28468471961695,
        23.29068281099717,
        23.29668094726367,
        23.302679128816063,
        23.30867735605394,
        23.314675629376907,
        23.320673949184563,
        23.326672315876507,
        23.332670729852335,
        23.33866919151166,
        23.344667701254068,
        23.350666259479162,
        23.356664866586552,
        23.36266352297583,
        23.368662229046592,
        23.374660985198446,
        23.38065979183099,
        23.386658649343822,
        23.392657558136545,
        23.398656518608757,
        23.40465553116006,
        23.410654596190053,
        23.416653714098334,
        23.42265288528451,
        23.428652110148175,
        23.434651389088927,
        23.440650722506373,
        23.446650110800107,
        23.452649554369735,
        23.458649053614852,
        23.46464860893506,
        23.470648220729963,
        23.476647889399153,
        23.482647615342234,
        23.48864739895881,
        23.494647240648476,
        23.500647140810834,
        23.506647099845488,
        23.512647118152028,
        23.518647196130065,
        23.524647334179193,
        23.53064753269901,
        23.536647792089127,
        23.54264811274913,
        23.54864849507863,
        23.55464893947722,
        23.560649446344506,
        23.566650016080082,
        23.572650649083556,
        23.578651345754523,
        23.58465210649258,
        23.590652931697335,
        23.596653821768378,
        23.60265477710532,
        23.608655798107755,
        23.614656885175286,
        23.620658038707507,
        23.626659259104027,
        23.63266054676444,
        23.638661902088348,
        23.644663325475353,
        23.65066481732505,
        23.656666378037045,
        23.662668008010932,
        23.668669707646316,
        23.674671477342798,
        23.680673317499974,
        23.686675228517444,
        23.692677210794812,
        23.698679264731673,
        23.704681390727632,
        23.71068358918229,
        23.71668586049524,
        23.722688205066092,
        23.728690623294437,
        23.73469311557988,
        23.74069568232202,
        23.746698323920455,
        23.75270104077479,
        23.758703833284624,
        23.76470670184955,
        23.770709646869175,
        23.7767126687431,
        23.782715767870926,
        23.788718944652246,
        23.794722199486664,
        23.80072553277378,
        23.806728944913193,
        23.812732436304508,
        23.81873600734732,
        23.82473965844123,
        23.83074338998584,
        23.83674720238075,
        23.84275109602556,
        23.848755071319864,
        23.854759128663268,
        23.860763268455376,
        23.866767491095782,
        23.872771796984086,
        23.878776186519893,
        23.8847806601028,
        23.890785218132404,
        23.89678986100831,
        23.902794589130114,
        23.908799402897422,
        23.91480430270983,
        23.920809288966936,
        23.926814362068345,
        23.932819522413656,
        23.938824770402466,
        23.94483010643438,
        23.950835530908993,
        23.95684104422591,
        23.962846646784726,
        23.968852338985045,
        23.974858121226465,
        23.98086399390859,
        23.98686995743101,
        23.99287601219334,
        23.99888215859517,
        24.0048883970361,
        24.010894727915737,
        24.016901151633675,
        24.022907668589514,
        24.028914279182857,
        24.034920983813304,
        24.040927782880456,
        24.04693467678391,
        24.052941665923264,
        24.058948750698125,
        24.064955931508088,
        24.070963208752758,
        24.07697058283173,
        24.082978054144608,
        24.088985623090988,
        24.094993290070473,
        24.101001055482662,
        24.107008919727157,
        24.113016883203557,
        24.119024946311463,
        24.12503310945047,
        24.131041373020185,
        24.137049737420206,
        24.14305820305013,
        24.149066770309563,
        24.155075439598097,
        24.16108421131534,
        24.167093085860888,
        24.173102063634342,
        24.179111145035304,
        24.18512033046337,
        24.191129620318144,
        24.197139014999223,
        24.20314851490621,
        24.209158120438705,
        24.215167831996304,
        24.22117764997861,
        24.227187574785226,
        24.23319760681575,
        24.239207746469777,
        24.245217994146916,
        24.25122835024676,
        24.25723881516891,
        24.263249389312975,
        24.26926007307854,
        24.275270866865217,
        24.281281771072603,
        24.287292786100295,
        24.2933039123479,
        24.29931515021501,
        24.30532650010123,
        24.311337962406157,
        24.317349537529395,
        24.323361225870542,
        24.3293730278292,
        24.335384943804968,
        24.34139697419744,
        24.347409119406226,
        24.35342137983092,
        24.359433755871127,
        24.365446247926442,
        24.371458856396465,
        24.377471581680805,
        24.38348442417905,
        24.389497384290806,
        24.395510462415672,
        24.401523658953252,
        24.40753697430314,
        24.413550408864943,
        24.419563963038254,
        24.425577637222677,
        24.43159143181781,
        24.437605347223258,
        24.443619383838616,
        24.449633542063488,
        24.45564782229747,
        24.461662224940163,
        24.467676750391167,
        24.473691399050086,
        24.47970617131652,
        24.480850910753436,
        24.486852884560946,
        24.49285482640473,
        24.498856736541377,
        24.504858615227462,
        24.510860462719563,
        24.516862279274267,
        24.522864065148156,
        24.528865820597805,
        24.5348675458798,
        24.540869241250714,
        24.54687090696714,
        24.552872543285652,
        24.558874150462827,
        24.564875728755258,
        24.570877278419516,
        24.576878799712187,
        24.582880292889847,
        24.58888175820908,
        24.59488319592647,
        24.600884606298592,
        24.606885989582032,
        24.612887346033368,
        24.618888675909183,
        24.624889979466058,
        24.63089125696057,
        24.636892508649304,
        24.642893734788842,
        24.648894935635763,
        24.654896111446647,
        24.660897262478077,
        24.66689838898663,
        24.672899491228897,
        24.678900569461447,
        24.684901623940867,
        24.690902654923736,
        24.69690366266664,
        24.702904647426152,
        24.70890560945886,
        24.71490654902134,
        24.720907466370175,
        24.726908361761947,
        24.73290923545324,
        24.738910087700628,
        24.744910918760695,
        24.75091172889002,
        24.75691251834519,
        24.76291328738278,
        24.768914036259375,
        24.774914765231554,
        24.780915474555897,
        24.78691616448899,
        24.792916835287407,
        24.79891748720773,
        24.804918120506546,
        24.810918735440435,
        24.81691933226597,
        24.822919911239737,
        24.82892047261832,
        24.8349210166583,
        24.840921543616254,
        24.84692205374876,
        24.852922547312406,
        24.858923024563772,
        24.864923485759437,
        24.87092393115598,
        24.876924361009987,
        24.882924775578037,
        24.888925175116707,
        24.894925559882584,
        24.900925930132246,
        24.906926286122275,
        24.91292662810925,
        24.918926956349754,
        24.92492727110037,
        24.930927572617673,
        24.936927861158246,
        24.942928136978676,
        24.94892840033554,
        24.954928651485414,
        24.960928890684887,
        24.966929118190535,
        24.972929334258943,
        24.978929539146687,
        24.98492973311035,
        24.990929916406515,
        24.996930089291762,
        25.002930252022672,
        25.008930404855825,
        25.0149305480478,
        25.020930681855184,
        25.026930806534555,
        25.032930922342494,
        25.03893102953558,
        25.044931128370393,
        25.05093121910352,
        25.05693130199154,
        25.06293137729103,
        25.068931445258574,
        25.074931506150755,
        25.080931560224148,
        25.08693160773534,
        25.092931648940908,
        25.098931684097437,
        25.104931713461504,
        25.110931737289693,
        25.116931755838586,
        25.122931769364758,
        25.128931778124795,
        25.134931782375276,
        25.140931782372782,
        25.146931778373897,
        25.1529317706352,
        25.15893175941327,
        25.164931744964694,
        25.170931727546044,
        25.176931707413907,
        25.182931684824865,
        25.188931660035493,
        25.19493163330238,
        25.2009316048821,
        25.206931575031238,
        25.212931544006373,
        25.21893151206409,
        25.224931479460963,
        25.23093144645358,
        25.236931413298517,
        25.242931380252358,
        25.248931347571684,
        25.254931315513073,
        25.260931284333108,
        25.26693125428837,
        25.27293122563544,
        25.2789311986309,
        25.28493117353133,
        25.29093115059331,
        25.29693113007342,
        25.302931112228247,
        25.308931097314368,
        25.314931085588363,
        25.32093107730681,
        25.3269310727263,
        25.332931072103406,
        25.33893107569471,
        25.344931083756794,
        25.35093109654624,
        25.35693111431963,
        25.36293113733354,
        25.368931165844554,
        25.374931200109256,
        25.38093124038422,
        25.386931286926036,
        25.39293133999128,
        25.398931399836528,
        25.40493146671837,
        25.410931540893383,
        25.416931622618147,
        25.422931712149243,
        25.428931809743258,
        25.43493191565676,
        25.440932030146346,
        25.446932153468588,
        25.452932285880067,
        25.458932427637365,
        25.46493257899706,
        25.47093274021574,
        25.476932911549984,
        25.48293309325637,
        25.48893328559148,
        25.494933488811892,
        25.500933703174194,
        25.506933928934963,
        25.512934166350778,
        25.518934415678224,
        25.52493467717388,
        25.530934951094327,
        25.53693523769615,
        25.54293553723592,
        25.548935849970228,
        25.55493617615565,
        25.56093651604877,
        25.56693686990617,
        25.572937237984423,
        25.578937620540117,
        25.58493801782983,
        25.59093843011015,
        25.59693885763765,
        25.60293930066891,
        25.608939759460515,
        25.61494023426905,
        25.620940725351087,
        25.626941232963215,
        25.63294175736201,
        25.638942298804054,
        25.644942857545928,
        25.650943433844215,
        25.656944027955493,
        25.662944640136345,
        25.668945270643352,
        25.674945919733094,
        25.680946587662152,
        25.686947274687107,
        25.692947981064542,
        25.698948707051038,
        25.704949452903172,
        25.71095021887753,
        25.71695100523069,
        25.722951812219232,
        25.728952640099738,
        25.73495348912879,
        25.740954359562974,
        25.74695525165886,
        25.752956165673034,
        25.75895710186208,
        25.764958060482577,
        25.770959041791105,
        25.776960046044245,
        25.782961073498583,
        25.78896212441069,
        25.794963199037156,
        25.800964297634557,
        25.806965420459477,
        25.812966567768495,
        25.81896773981819,
        25.82496893686515,
        25.83097015916595,
        25.836971406977174,
        25.8429726805554,
        25.84897398015721,
        25.85497530603919,
        25.86097665845791,
        25.866978037669963,
        25.872979443931925,
        25.87898087750038,
        25.884982338631897,
        25.89098382758307,
        25.896985344610478,
        25.9029868899707,
        25.90898846392031,
        25.9149900667159,
        25.92099169861405,
        25.926993359871336,
        25.93299505074434,
        25.93899677148964,
        25.94499852236383,
        25.951000303623477,
        25.957002115525164,
        25.96300395832548,
        25.969005832281,
        25.975007737648305,
        25.981009674683975,
        25.987011643644593,
        25.993013644786743,
        25.999015678367,
        26.00501774464195,
        26.011019843868173,
        26.017021976302246,
        26.023024142200757,
        26.02902634182028,
        26.0350285754174,
        26.0410308432487,
        26.04703314557075,
        26.053035482640144,
        26.05903785471346,
        26.065040262047276,
        26.071042704898172,
        26.077045183522735,
        26.083047698177538,
        26.089050249119165,
        26.095052836604204,
        26.101055460889224,
        26.107058122230814,
        26.113060820885558,
        26.119063557110024,
        26.12506633116081,
        26.13106914329448,
        26.137071993767627,
        26.143074882836828,
        26.149077810758666,
        26.155080777789717,
        26.161083784186566,
        26.167086830205793,
        26.17308991610398,
        26.17909304213771,
        26.185096208563557,
        26.191099415638107,
        26.19710266361794,
        26.20310595275964,
        26.209109283319783,
        26.215112655554954,
        26.221116069721727,
        26.22711952607669,
        26.233123024876427,
        26.239126566377514,
        26.24513015083653,
        26.25113377851006,
        26.25713744965468,
        26.263141164526978,
        26.26914492338353,
        26.275148726480914,
        26.281152574075723,
        26.287156466424527,
        26.293160403783908,
        26.299164386410453,
        26.30516841456074,
        26.311172488491344,
        26.317176608458855,
        26.32318077471985,
        26.329184987530912,
        26.33518924714862,
        26.341193553829555,
        26.3471979078303,
        26.35320230940743,
        26.359206758817532,
        26.365211256317185,
        26.371215802162975,
        26.377220396611474,
        26.38322503991927,
        26.38922973234294,
        26.395234474139066,
        26.401239265564232,
        26.407244106875016,
        26.413248998327997,
        26.41925394017976,
        26.425258932686887,
        26.431263976105953,
        26.437269070693542,
        26.44327421670624,
        26.44927941440062,
        26.45528466403327,
        26.461289965860765,
        26.46729532013969,
        26.473300727126624,
        26.479306187078148,
        26.485311700250843,
        26.49131726690129,
        26.497322887286074,
        26.50332856166177,
        26.509334290284965,
        26.515340073412233,
        26.521345911300163,
        26.527351804205328,
        26.533357752384312,
        26.5393637560937,
        26.545369815590067,
        26.551375931129996,
        26.557382102970074,
        26.563388331366873,
        26.56939461657698,
        26.57540095885697,
        26.581407358463427,
        26.587413815652937,
        26.593420330682076,
        26.599426903807426,
        26.605433535285567,
        26.61144022537308,
        26.617446974326548,
        26.62345378240255,
        26.629460649857666,
        26.635467576948482,
        26.641474563931578,
        26.64748161106353,
        26.65348871860092,
        26.659495886800332,
        26.665503115918348,
        26.671510406211546,
        26.677517757936506,
        26.683525171349814,
        26.689532646708045,
        26.695540184267784,
        26.701547784285612,
        26.70755544701811,
        26.713563172721855,
        26.71957096165343,
        26.72557881406942,
        26.731586730226404,
        26.73759471038096,
        26.74360275478967,
        26.74961086370912,
        26.75561903739588,
        26.761627276106545,
        26.767635580097686,
        26.773643949625885,
        26.77965238494773,
        26.785660886319793,
        26.79166945399866,
        26.79767808824091,
        26.80368678930313,
        26.80969555744189,
        26.815704392913783,
        26.82171329597538,
        26.827722266883267,
        26.833731305894027,
        26.839740413264234,
        26.845749589250474,
        26.85175883410933,
        26.857768148097378,
        26.8637775314712,
        26.86978698448738,
        26.875796507402498,
        26.881806100473128,
        26.887815763955864,
        26.89382549810728,
        26.899835303183956,
        26.905845179442473,
        26.91185512713941,
        26.91786514653136,
        26.92387523787489,
        26.929885401426585,
        26.93589563744303,
        26.9419059461808,
        26.947916327896483,
        26.953926782846654,
        26.959937311287895,
        26.965947913476793,
        26.97195858966992,
        26.977969340123863,
        26.983980165095204,
        26.989991064840517,
        26.99600203961639,
        27.002013089679398,
        27.00802421528613,
        27.01403541669316,
        27.020046694157074,
        27.026058047934445,
        27.032069478281862,
        27.038080985455906,
        27.044092569713154,
        27.050104231310186,
        27.056115970503587,
        27.062127787549937,
        27.068139682705816,
        27.074151656227805,
        27.080163708372485,
        27.08617583939644,
        27.09218804955625,
        27.09820033910849,
        27.104212708309745,
        27.1102251574166,
        27.116237686685633,
        27.122250296373423,
        27.128262986736548,
        27.1342757580316,
        27.140288610515153,
        27.146301544443787,
        27.152314560074082,
        27.158327657662625,
        27.164340837465993,
        27.170354099740766,
        27.176367444743526,
        27.18238087273086,
        27.18839438395934,
        27.194407978685547,
        27.20042165716607,
        27.20643541965749,
        27.212449266416375,
        27.218463197699318,
        27.224477213762896,
        27.23049131486369,
        27.236505501258286,
        27.242519773203256,
        27.24853413095519,
        27.254548574770663,
        27.260563104906257,
        27.266577721618553,
        27.272592425164135,
        27.27860721579958,
        27.284622093781472,
        27.29063705936639,
        27.296652112810914,
        27.302667254371627,
        27.308682484305113,
        27.314697802867947,
        27.320713210316715,
        27.326728706907993,
        27.33274429289837,
        27.338759968544416,
        27.344775734102722,
        27.35079158982986,
        27.356807535982423,
        27.36282357281698,
        27.368839700590115,
        27.374855919558414,
        27.380872229978454,
        27.386888632106817,
        27.392905126200088,
        27.398921712514838,
        27.404938391307656,
        27.410955162835123,
        27.416972027353815,
        27.422988985120316,
        27.429006036391208,
        27.43502318142307,
        27.441040420472486,
        27.447057753796035,
        27.453075181650295,
        27.45909270429185,
        27.465110321977285,
        27.471128034963176,
        27.4771458435061,
        27.483163747862648,
        27.489181748289397,
        27.495199845042922,
        27.501218038379815,
        27.507236328556647,
        27.51325471583,
        27.519273200456468,
        27.525291782692612,
        27.531310462795027,
        27.53732924102029,
        27.543348117624987,
        27.549367092865687,
        27.555386166998982,
        27.561405340281446,
        27.567424612969667,
        27.573443985320218,
        27.57946345758969,
        27.585483030034652,
        27.591502702911697,
        27.597522476477394,
        27.603542350988334,
        27.60956232670109,
        27.615582403872253,
        27.621602582758396,
        27.6276228636161,
        27.633643246701954,
        27.639663732272528,
        27.64568432058441,
        27.65170501189418,
        27.657725806458416,
        27.663746704533704,
        27.66976770637662,
        27.67578881224375,
        27.68181002239167,
        27.687831337076965,
        27.69385275655621,
        27.699874281085993,
        27.705895910922894,
        27.71191764632349,
        27.717939487544363,
        27.7239614348421,
        27.729983488473277,
        27.736005648694473,
        27.74202791576227,
        27.748050289933254,
        27.754072771464,
        27.760095360611093,
        27.76611805763111,
        27.772140862780635,
        27.77816377631625,
        27.784186798494538,
        27.790209929572068,
        27.796233169805436,
        27.802256519451213,
        27.808279978765984,
        27.81430354800633,
        27.820327227428834,
        27.826351017290072,
        27.83237491784663,
        27.83839892935508,
        27.844423052072013,
        27.85044728625401,
        27.856471632157646,
        27.862496090039503,
        27.868520660156165,
        27.87454534276421,
        27.880570138120223,
        27.88659504648078,
        27.892620068102467,
        27.898645203241863,
        27.90467045215555,
        27.9106958151001,
        27.91672129233211,
        27.92274688410815,
        27.9287725906848,
        27.93479841231865,
        27.940824349266272,
        27.946850401784253,
        27.95287657012917,
        27.958902854557607,
        27.964929255326144,
        27.97095577269136,
        27.97698240690984,
        27.983009158238158,
        27.989036026932904,
        27.995063013250654,
        28.00109011744799,
        28.00711733978149,
        28.013144680507743,
        28.01917213988332,
        28.025199718164806,
        28.031227415608786,
        28.03725523247184,
        28.043283169010543,
        28.049311225481482,
        28.05533940214123,
        28.061367699246382,
        28.067396117053505,
        28.07342465581919,
        28.07945331580001,
        28.08548209725255,
        28.091511000433396,
        28.097540025599116,
        28.103569173006306,
        28.109598442911537,
        28.11562783557139,
        28.121657351242455,
        28.127686990181303,
        28.13371675264452,
        28.13974663888869,
        28.14577664917038,
        28.15180678374619,
        28.157837042872686,
        28.16386742680646,
        28.169897935804084,
        28.175928570122146,
        28.18195933001722,
        28.187990215745895,
        28.194021227564747,
        28.200052365730354,
        28.206083630499307,
        28.212115022128177,
        28.21814654087355,
        28.224178186992006,
        28.23020996074013,
        28.236241862374495,
        28.242273892151687,
        28.248306050328285,
        28.25433833716087,
        28.260370752906027,
        28.266403297820332,
        28.27243597216037,
        28.27846877618272,
        28.284501710143964,
        28.290534774300678,
        28.29656796890945,
        28.30260129422686,
        28.308634750509487,
        28.314668338013906,
        28.32070205699671,
        28.326735907714472,
        28.332769890423776,
        28.338804005381203,
        28.34483825284333,
        28.350872633066746,
        28.356907146308025,
        28.362941792823747,
        28.3689765728705,
        28.375011486704864,
        28.38104653458341,
        28.38708171676273,
        28.393117033499404,
        28.399152485050006,
        28.405188071671123,
        28.411223793619335,
        28.41725965115122,
        28.423295644523364,
        28.429331773992345,
        28.435368039814744,
        28.44140444224714,
        28.44744098154612,
        28.453477657968257,
        28.45951447177014,
        28.465551423208346,
        28.471588512539455,
        28.477625740020052,
        28.48366310590671,
        28.489700610456023,
        28.495738253924557,
        28.501776036568906,
        28.50781395864564,
        28.51385202041135,
        28.519890222122612,
        28.525928564036008,
        28.531967046408116,
        28.53800566949552,
        28.544044433554802,
        28.550083338842537,
        28.556122385615314,
        28.562161574129714,
        28.56820090464231,
        28.574240377409687,
        28.58027999268843,
        28.586319750735115,
        28.592359651806323,
        28.598399696158637,
        28.604439884048638,
        28.610480215732906,
        28.616520691468025,
        28.622561311510573,
        28.62860207611713,
        28.63464298554428,
        28.6406840400486,
        28.646725239886678,
        28.652766585315085,
        28.65880807659041,
        28.664849713969236,
        28.670891497708133,
        28.67693342806369,
        28.68297550529249,
        28.689017729651113,
        28.69506010139613,
        28.701102620784134,
        28.7071452880717
    ],
    "flux": [
        0.533407,
        0.530826,
        0.533447,
        0.531981,
        0.537247,
        0.54509,
        0.556085,
        0.547088,
        0.54156,
        0.558736,
        0.598014,
        0.655448,
        0.594024,
        0.544951,
        0.531533,
        0.529504,
        0.527883,
        0.52658,
        0.53463,
        0.554802,
        0.556916,
        0.547807,
        0.543079,
        0.542329,
        0.594457,
        0.627722,
        0.592086,
        0.546648,
        0.534017,
        0.537622,
        0.538626,
        0.540111,
        0.548095,
        0.554653,
        0.547895,
        0.538229,
        0.532688,
        0.540246,
        0.575486,
        0.628768,
        0.621561,
        0.552288,
        0.530862,
        0.529106,
        0.533097,
        0.535903,
        0.549056,
        0.555537,
        0.545958,
        0.534496,
        0.530446,
        0.532505,
        0.554915,
        0.613879,
        0.625739,
        0.56909,
        0.540418,
        0.534714,
        0.534052,
        0.536577,
        0.54688,
        0.549067,
        0.539204,
        0.529361,
        0.530401,
        0.532461,
        0.538664,
        0.576408,
        0.6279,
        0.595265,
        0.549567,
        0.53808,
        0.54814,
        0.545076,
        0.550068,
        0.547269,
        0.536804,
        0.527649,
        0.525463,
        0.529007,
        0.531163,
        0.545955,
        0.587802,
        0.625159,
        0.585889,
        0.547207,
        0.539897,
        0.540909,
        0.545781,
        0.546955,
        0.538501,
        0.529915,
        0.528883,
        0.528587,
        0.526816,
        0.527427,
        0.540699,
        0.589154,
        0.617462,
        0.572716,
        0.543947,
        0.536691,
        0.539006,
        0.545885,
        0.539036,
        0.529637,
        0.525042,
        0.527681,
        0.527493,
        0.530251,
        0.532685,
        0.544343,
        0.585278,
        0.611946,
        0.573043,
        0.533038,
        0.528982,
        0.540637,
        0.545471,
        0.537661,
        0.530454,
        0.524957,
        0.526737,
        0.523467,
        0.520138,
        0.524405,
        0.536426,
        0.568596,
        0.606811,
        0.582514,
        0.542651,
        0.533483,
        0.539106,
        0.536645,
        0.526678,
        0.522175,
        0.524521,
        0.526528,
        0.527647,
        0.529437,
        0.531665,
        0.532848,
        0.548059,
        0.588413,
        0.591546,
        0.555295,
        0.539111,
        0.549361,
        0.551254,
        0.546465,
        0.54133,
        0.52976,
        0.523729,
        0.525333,
        0.533077,
        0.535979,
        0.536206,
        0.540042,
        0.56326,
        0.605525,
        0.57954,
        0.551827,
        0.543089,
        0.536064,
        0.527124,
        0.523738,
        0.521945,
        0.52272,
        0.527758,
        0.524785,
        0.522255,
        0.521499,
        0.528706,
        0.537235,
        0.571239,
        0.588052,
        0.56371,
        0.545389,
        0.535399,
        0.523858,
        0.524152,
        0.526118,
        0.530176,
        0.534563,
        0.53372,
        0.528443,
        0.524107,
        0.52292,
        0.522669,
        0.532639,
        0.562826,
        0.586115,
        0.561723,
        0.54183,
        0.530771,
        0.525762,
        0.521716,
        0.526298,
        0.527091,
        0.523469,
        0.521461,
        0.524972,
        0.530689,
        0.530273,
        0.528298,
        0.531206,
        0.558033,
        0.581565,
        0.563703,
        0.537123,
        0.525669,
        0.525497,
        0.527162,
        0.529336,
        0.527141,
        0.519947,
        0.519189,
        0.516906,
        0.515352,
        0.518794,
        0.52235,
        0.527027,
        0.546857,
        0.580762,
        0.571702,
        0.541605,
        0.531164,
        0.537745,
        0.538919,
        0.528858,
        0.524406,
        0.523897,
        0.524535,
        0.522163,
        0.521588,
        0.520552,
        0.521415,
        0.526471,
        0.538877,
        0.576444,
        0.58797,
        0.5571,
        0.533792,
        0.52567,
        0.521408,
        0.518549,
        0.51706,
        0.517438,
        0.518556,
        0.520775,
        0.522517,
        0.520598,
        0.519644,
        0.516583,
        0.522389,
        0.544407,
        0.570974,
        0.560244,
        0.53858,
        0.534471,
        0.529193,
        0.522595,
        0.521167,
        0.521403,
        0.521063,
        0.519782,
        0.522138,
        0.529068,
        0.53023,
        0.525439,
        0.524394,
        0.529004,
        0.550723,
        0.567054,
        0.551197,
        0.527755,
        0.521033,
        0.520658,
        0.521676,
        0.524241,
        0.527773,
        0.536967,
        0.555979,
        0.587069,
        0.617014,
        0.619893,
        0.598462,
        0.573735,
        0.562547,
        0.563453,
        0.564628,
        0.548205,
        0.522071,
        0.513689,
        0.514487,
        0.514733,
        0.515522,
        0.517829,
        0.519282,
        0.520248,
        0.521764,
        0.516739,
        0.514818,
        0.516944,
        0.522344,
        0.526623,
        0.534834,
        0.55528,
        0.559955,
        0.54619,
        0.530405,
        0.525621,
        0.529028,
        0.521964,
        0.512901,
        0.512143,
        0.515324,
        0.515746,
        0.517887,
        0.516402,
        0.518346,
        0.522647,
        0.526393,
        0.531371,
        0.546569,
        0.55394,
        0.535018,
        0.520443,
        0.517243,
        0.523308,
        0.525877,
        0.522389,
        0.519378,
        0.519785,
        0.52004,
        0.522273,
        0.525107,
        0.526871,
        0.531788,
        0.533891,
        0.536002,
        0.54595,
        0.554074,
        0.540428,
        0.522475,
        0.516172,
        0.514146,
        0.5156,
        0.516627,
        0.516244,
        0.514179,
        0.512779,
        0.509403,
        0.511059,
        0.516832,
        0.520328,
        0.523044,
        0.524075,
        0.528072,
        0.532205,
        0.540375,
        0.527069,
        0.514912,
        0.510013,
        0.508304,
        0.50958,
        0.512661,
        0.514961,
        0.516509,
        0.517879,
        0.514582,
        0.512762,
        0.516921,
        0.526498,
        0.53177,
        0.524514,
        0.53485,
        0.543959,
        0.544432,
        0.529461,
        0.518178,
        0.513104,
        0.513879,
        0.51083,
        0.510734,
        0.514442,
        0.520013,
        0.517061,
        0.513553,
        0.515547,
        0.524348,
        0.539717,
        0.53019,
        0.517501,
        0.512501,
        0.518818,
        0.529436,
        0.527517,
        0.518943,
        0.515736,
        0.525913,
        0.531142,
        0.526905,
        0.525297,
        0.515959,
        0.512991,
        0.512522,
        0.515935,
        0.518917,
        0.518346,
        0.511709,
        0.508454,
        0.509293,
        0.511731,
        0.524598,
        0.525629,
        0.517875,
        0.514067,
        0.518265,
        0.519264,
        0.512033,
        0.509421,
        0.510092,
        0.513232,
        0.519995,
        0.533691,
        0.530528,
        0.521351,
        0.512638,
        0.511453,
        0.510593,
        0.511069,
        0.517298,
        0.52434,
        0.520115,
        0.511703,
        0.513094,
        0.513082,
        0.512549,
        0.513049,
        0.511446,
        0.509626,
        0.509544,
        0.510158,
        0.512992,
        0.515841,
        0.521117,
        0.526035,
        0.52307,
        0.51594,
        0.515816,
        0.52317,
        0.533758,
        0.529295,
        0.523698,
        0.519955,
        0.51735,
        0.517839,
        0.517506,
        0.512384,
        0.514652,
        0.523777,
        0.534358,
        0.52464,
        0.514865,
        0.510948,
        0.511508,
        0.511519,
        0.519627,
        0.527845,
        0.531221,
        0.528088,
        0.52262,
        0.515446,
        0.521497,
        0.530991,
        0.520945,
        0.511466,
        0.510982,
        0.514105,
        0.512828,
        0.51141,
        0.509454,
        0.506477,
        0.506358,
        0.506417,
        0.509112,
        0.509354,
        0.516314,
        0.531522,
        0.535601,
        0.521743,
        0.510819,
        0.504794,
        0.501458,
        0.504714,
        0.509207,
        0.510962,
        0.506679,
        0.505918,
        0.508056,
        0.506646,
        0.505456,
        0.503727,
        0.509411,
        0.511418,
        0.51031,
        0.510116,
        0.508999,
        0.516951,
        0.515371,
        0.508219,
        0.505946,
        0.50758,
        0.504858,
        0.503271,
        0.50064,
        0.503697,
        0.506129,
        0.508561,
        0.509036,
        0.504932,
        0.50304,
        0.504827,
        0.515712,
        0.53649,
        0.551391,
        0.540786,
        0.523402,
        0.515689,
        0.511807,
        0.508404,
        0.503784,
        0.502974,
        0.501225,
        0.5021,
        0.501467,
        0.504124,
        0.507105,
        0.507832,
        0.506314,
        0.504596,
        0.50618,
        0.506137,
        0.506362,
        0.502498,
        0.501706,
        0.504763,
        0.507493,
        0.511705,
        0.507934,
        0.504854,
        0.503252,
        0.505271,
        0.50565,
        0.516209,
        0.524092,
        0.513059,
        0.507163,
        0.507671,
        0.517733,
        0.53086,
        0.528787,
        0.526651,
        0.519896,
        0.509695,
        0.511964,
        0.510355,
        0.508558,
        0.511044,
        0.508987,
        0.510172,
        0.508252,
        0.506468,
        0.503116,
        0.501498,
        0.502101,
        0.504232,
        0.507521,
        0.52157,
        0.536788,
        0.523979,
        0.509437,
        0.50394,
        0.504356,
        0.502732,
        0.503811,
        0.505363,
        0.517373,
        0.536476,
        0.530095,
        0.5216,
        0.515214,
        0.507679,
        0.5071,
        0.513396,
        0.520575,
        0.521648,
        0.521821,
        0.524641,
        0.524418,
        0.517514,
        0.509655,
        0.507471,
        0.505971,
        0.504885,
        0.504565,
        0.503363,
        0.503749,
        0.507781,
        0.509182,
        0.505953,
        0.505372,
        0.50358,
        0.504377,
        0.500577,
        0.502343,
        0.501921,
        0.50129,
        0.499048,
        0.500423,
        0.498746,
        0.50134,
        0.503684,
        0.503579,
        0.503431,
        0.502604,
        0.500192,
        0.500718,
        0.501263,
        0.50306,
        0.505161,
        0.503857,
        0.506963,
        0.515226,
        0.533925,
        0.530898,
        0.513868,
        0.514068,
        0.523595,
        0.514405,
        0.504993,
        0.500349,
        0.498571,
        0.503234,
        0.509587,
        0.51711,
        0.515663,
        0.511636,
        0.50699,
        0.509062,
        0.521549,
        0.539027,
        0.532054,
        0.518636,
        0.515704,
        0.509521,
        0.503646,
        0.504611,
        0.52113,
        0.534038,
        0.51823,
        0.502473,
        0.497694,
        0.498484,
        0.499495,
        0.502052,
        0.50052,
        0.498748,
        0.498234,
        0.501995,
        0.503145,
        0.500102,
        0.498817,
        0.497199,
        0.498963,
        0.501392,
        0.504362,
        0.508275,
        0.505654,
        0.499044,
        0.498414,
        0.496556,
        0.49636,
        0.494837,
        0.497337,
        0.499484,
        0.500881,
        0.502231,
        0.502865,
        0.500014,
        0.504597,
        0.527417,
        0.541675,
        0.516541,
        0.50287,
        0.499859,
        0.501493,
        0.506354,
        0.502198,
        0.498845,
        0.495561,
        0.495912,
        0.503095,
        0.516415,
        0.515522,
        0.50384,
        0.501152,
        0.504438,
        0.503794,
        0.505056,
        0.503823,
        0.500048,
        0.497599,
        0.497333,
        0.49744,
        0.496925,
        0.496644,
        0.496416,
        0.500046,
        0.501622,
        0.514601,
        0.543338,
        0.544269,
        0.515616,
        0.49901,
        0.497134,
        0.496019,
        0.495087,
        0.495795,
        0.499245,
        0.504959,
        0.511458,
        0.504677,
        0.498377,
        0.495686,
        0.497944,
        0.500193,
        0.498637,
        0.498075,
        0.498584,
        0.498235,
        0.497572,
        0.496672,
        0.494322,
        0.494782,
        0.492599,
        0.49322,
        0.494509,
        0.494829,
        0.502666,
        0.527513,
        0.551252,
        0.531371,
        0.507748,
        0.4974,
        0.494479,
        0.493646,
        0.496798,
        0.499996,
        0.500222,
        0.497523,
        0.500693,
        0.505687,
        0.501112,
        0.494572,
        0.494337,
        0.495087,
        0.502539,
        0.504247,
        0.504806,
        0.513538,
        0.516048,
        0.502991,
        0.497047,
        0.497284,
        0.502447,
        0.51013,
        0.518333,
        0.516196,
        0.514265,
        0.515506,
        0.511476,
        0.506871,
        0.502951,
        0.504485,
        0.506659,
        0.503743,
        0.507267,
        0.511757,
        0.503926,
        0.495905,
        0.492567,
        0.49422,
        0.493974,
        0.498367,
        0.501666,
        0.499092,
        0.497246,
        0.495518,
        0.492675,
        0.490688,
        0.489795,
        0.492123,
        0.494722,
        0.494661,
        0.496004,
        0.50023,
        0.513973,
        0.531747,
        0.520919,
        0.509065,
        0.514071,
        0.540956,
        0.54325,
        0.512379,
        0.496098,
        0.492751,
        0.493737,
        0.497915,
        0.505461,
        0.499546,
        0.494542,
        0.495626,
        0.497519,
        0.496873,
        0.496253,
        0.492935,
        0.494991,
        0.50171,
        0.511549,
        0.51226,
        0.507409,
        0.511148,
        0.51216,
        0.503853,
        0.497278,
        0.499999,
        0.499918,
        0.495994,
        0.492687,
        0.491864,
        0.492082,
        0.491437,
        0.491938,
        0.501932,
        0.51881,
        0.527112,
        0.514375,
        0.500352,
        0.495977,
        0.495724,
        0.500009,
        0.519173,
        0.525689,
        0.507078,
        0.496808,
        0.502465,
        0.504055,
        0.496552,
        0.489396,
        0.490853,
        0.493959,
        0.497721,
        0.496427,
        0.492555,
        0.491979,
        0.490613,
        0.489655,
        0.489241,
        0.489478,
        0.490839,
        0.491713,
        0.49351,
        0.493933,
        0.497215,
        0.522198,
        0.558732,
        0.535926,
        0.502018,
        0.490074,
        0.490368,
        0.491908,
        0.490729,
        0.488314,
        0.48879,
        0.490636,
        0.493137,
        0.497616,
        0.500426,
        0.496286,
        0.492643,
        0.503971,
        0.521603,
        0.522165,
        0.505711,
        0.495224,
        0.491579,
        0.490728,
        0.498044,
        0.506982,
        0.505855,
        0.50518,
        0.507036,
        0.498193,
        0.493208,
        0.49044,
        0.488788,
        0.489559,
        0.490091,
        0.490772,
        0.489524,
        0.492307,
        0.499037,
        0.505865,
        0.495963,
        0.490525,
        0.487006,
        0.488556,
        0.488609,
        0.489284,
        0.489332,
        0.49032,
        0.489018,
        0.495039,
        0.51382,
        0.509901,
        0.493775,
        0.4899,
        0.490349,
        0.494273,
        0.503222,
        0.501904,
        0.496102,
        0.493353,
        0.490221,
        0.488061,
        0.486816,
        0.48964,
        0.490452,
        0.488685,
        0.490983,
        0.511587,
        0.550878,
        0.564774,
        0.527037,
        0.497979,
        0.490768,
        0.490896,
        0.488163,
        0.487139,
        0.486604,
        0.488573,
        0.489873,
        0.492915,
        0.494851,
        0.493494,
        0.496945,
        0.498384,
        0.491183,
        0.487777,
        0.485746,
        0.48623,
        0.486781,
        0.488627,
        0.489956,
        0.492407,
        0.49706,
        0.514111,
        0.523364,
        0.506212,
        0.494323,
        0.4997,
        0.499477,
        0.492378,
        0.487069,
        0.487411,
        0.488961,
        0.492062,
        0.494737,
        0.492888,
        0.497067,
        0.503082,
        0.496788,
        0.487916,
        0.484965,
        0.486668,
        0.4915,
        0.506813,
        0.525601,
        0.513572,
        0.49415,
        0.486657,
        0.486088,
        0.484469,
        0.486662,
        0.481925,
        0.48368,
        0.485673,
        0.48948,
        0.489805,
        0.490974,
        0.49107,
        0.489733,
        0.488298,
        0.495049,
        0.490272,
        0.487203,
        0.490441,
        0.506975,
        0.529477,
        0.559395,
        0.560133,
        0.549355,
        0.528289,
        0.515112,
        0.50333,
        0.493853,
        0.495824,
        0.50471,
        0.501192,
        0.495767,
        0.500088,
        0.501764,
        0.503012,
        0.50326,
        0.501356,
        0.498785,
        0.504236,
        0.500264,
        0.4927,
        0.489159,
        0.490534,
        0.491349,
        0.491712,
        0.48937,
        0.486146,
        0.48896,
        0.498416,
        0.505101,
        0.496,
        0.491246,
        0.501336,
        0.512183,
        0.504319,
        0.50766,
        0.503071,
        0.493366,
        0.488954,
        0.486924,
        0.482999,
        0.483958,
        0.483166,
        0.484591,
        0.483744,
        0.483259,
        0.485805,
        0.486768,
        0.495101,
        0.501408,
        0.498898,
        0.497039,
        0.490615,
        0.483145,
        0.484413,
        0.483687,
        0.483075,
        0.485344,
        0.490196,
        0.486901,
        0.481709,
        0.477123,
        0.479056,
        0.480208,
        0.477337,
        0.479477,
        0.480685,
        0.485367,
        0.48965,
        0.4971,
        0.516631,
        0.520488,
        0.504918,
        0.491222,
        0.50027,
        0.518943,
        0.519872,
        0.495006,
        0.482684,
        0.482894,
        0.484989,
        0.48542,
        0.485038,
        0.484329,
        0.487396,
        0.48836,
        0.485985,
        0.485696,
        0.494459,
        0.506118,
        0.512127,
        0.508172,
        0.494978,
        0.487764,
        0.484448,
        0.481983,
        0.480403,
        0.479533,
        0.478404,
        0.478973,
        0.481003,
        0.480544,
        0.482317,
        0.481001,
        0.480612,
        0.480947,
        0.479741,
        0.482647,
        0.481697,
        0.479107,
        0.479657,
        0.478951,
        0.48097,
        0.484271,
        0.484246,
        0.484773,
        0.491219,
        0.495613,
        0.490927,
        0.492949,
        0.493569,
        0.488445,
        0.483088,
        0.481742,
        0.482483,
        0.485491,
        0.482819,
        0.482391,
        0.480999,
        0.479474,
        0.479141,
        0.477645,
        0.477489,
        0.478336,
        0.478574,
        0.48338,
        0.497617,
        0.505239,
        0.497929,
        0.489134,
        0.48592,
        0.498249,
        0.515497,
        0.521704,
        0.496278,
        0.482033,
        0.479715,
        0.479869,
        0.486299,
        0.497157,
        0.501555,
        0.499757,
        0.504203,
        0.501546,
        0.493621,
        0.491925,
        0.49599,
        0.497828,
        0.491507,
        0.48033,
        0.481615,
        0.485314,
        0.488001,
        0.487054,
        0.484366,
        0.481547,
        0.48231,
        0.48147,
        0.481043,
        0.479953,
        0.480747,
        0.479006,
        0.481942,
        0.483926,
        0.484514,
        0.484121,
        0.484111,
        0.481519,
        0.478689,
        0.479422,
        0.47944,
        0.476606,
        0.476938,
        0.476228,
        0.477326,
        0.483355,
        0.4852,
        0.483007,
        0.48202,
        0.4901,
        0.496353,
        0.493147,
        0.483719,
        0.478539,
        0.478895,
        0.479446,
        0.488979,
        0.495263,
        0.498391,
        0.486758,
        0.482006,
        0.482224,
        0.485235,
        0.484161,
        0.490733,
        0.49712,
        0.495194,
        0.480374,
        0.478401,
        0.47855,
        0.478396,
        0.481489,
        0.489417,
        0.501328,
        0.516124,
        0.51743,
        0.509851,
        0.508672,
        0.506521,
        0.49402,
        0.487004,
        0.486337,
        0.486778,
        0.481462,
        0.47829,
        0.477228,
        0.483703,
        0.488683,
        0.489172,
        0.484449,
        0.481153,
        0.478468,
        0.483597,
        0.490828,
        0.508022,
        0.531371,
        0.520183,
        0.503654,
        0.491565,
        0.483659,
        0.481103,
        0.482748,
        0.485873,
        0.489774,
        0.496724,
        0.511219,
        0.52591,
        0.544292,
        0.570379,
        0.581523,
        0.575098,
        0.556503,
        0.528276,
        0.509421,
        0.499584,
        0.491417,
        0.483966,
        0.481517,
        0.481,
        0.484818,
        0.488539,
        0.482652,
        0.478029,
        0.474587,
        0.476105,
        0.478123,
        0.484039,
        0.493824,
        0.50316,
        0.497302,
        0.491989,
        0.485342,
        0.477824,
        0.475503,
        0.47387,
        0.47429,
        0.473995,
        0.47432,
        0.473902,
        0.47446,
        0.475036,
        0.480179,
        0.492956,
        0.514093,
        0.503877,
        0.490945,
        0.493036,
        0.500707,
        0.493573,
        0.491784,
        0.496212,
        0.497049,
        0.483513,
        0.478118,
        0.481196,
        0.477795,
        0.476388,
        0.475749,
        0.474918,
        0.481366,
        0.484595,
        0.490414,
        0.497219,
        0.498888,
        0.490851,
        0.489829,
        0.489508,
        0.489621,
        0.493062,
        0.498469,
        0.499293,
        0.493803,
        0.486798,
        0.481192,
        0.475078,
        0.472716,
        0.475006,
        0.476199,
        0.474879,
        0.473238,
        0.471964,
        0.472657,
        0.475372,
        0.484558,
        0.500037,
        0.50867,
        0.500623,
        0.485872,
        0.476047,
        0.472802,
        0.47383,
        0.472614,
        0.47344,
        0.473708,
        0.475494,
        0.474128,
        0.470025,
        0.470598,
        0.471298,
        0.471597,
        0.472973,
        0.476367,
        0.48721,
        0.490656,
        0.480478,
        0.472902,
        0.471485,
        0.470924,
        0.470744,
        0.471201,
        0.47478,
        0.4834,
        0.491105,
        0.488868,
        0.480119,
        0.47917,
        0.481935,
        0.483386,
        0.477725,
        0.472906,
        0.471371,
        0.471549,
        0.471729,
        0.469595,
        0.467758,
        0.468224,
        0.469153,
        0.466206,
        0.467158,
        0.469387,
        0.46953,
        0.473711,
        0.473747,
        0.472797,
        0.472779,
        0.474053,
        0.472197,
        0.46987,
        0.470616,
        0.470783,
        0.474408,
        0.483806,
        0.484898,
        0.478938,
        0.472462,
        0.470536,
        0.470692,
        0.475212,
        0.478823,
        0.476688,
        0.473015,
        0.471946,
        0.47544,
        0.474979,
        0.471599,
        0.469175,
        0.469026,
        0.468848,
        0.468994,
        0.470611,
        0.471242,
        0.473299,
        0.471893,
        0.472512,
        0.473885,
        0.4779,
        0.481079,
        0.477753,
        0.473712,
        0.471801,
        0.471046,
        0.471477,
        0.470978,
        0.470437,
        0.471261,
        0.470618,
        0.470035,
        0.474238,
        0.485164,
        0.500838,
        0.492582,
        0.478617,
        0.473016,
        0.478043,
        0.500554,
        0.505524,
        0.495983,
        0.489461,
        0.504118,
        0.507964,
        0.492465,
        0.475535,
        0.469047,
        0.468429,
        0.46703,
        0.469013,
        0.468863,
        0.469752,
        0.471019,
        0.472848,
        0.478606,
        0.479975,
        0.476569,
        0.471694,
        0.46834,
        0.467563,
        0.470789,
        0.476956,
        0.479581,
        0.474499,
        0.474459,
        0.481261,
        0.485833,
        0.478036,
        0.473834,
        0.469785,
        0.472628,
        0.482033,
        0.498725,
        0.493834,
        0.478436,
        0.469545,
        0.467909,
        0.469551,
        0.47383,
        0.471229,
        0.468087,
        0.469868,
        0.46982,
        0.468969,
        0.469327,
        0.469379,
        0.467286,
        0.468538,
        0.471063,
        0.472002,
        0.471241,
        0.470776,
        0.470243,
        0.46841,
        0.469394,
        0.469841,
        0.468879,
        0.468858,
        0.472854,
        0.470284,
        0.46897,
        0.46877,
        0.467216,
        0.465871,
        0.469286,
        0.469853,
        0.469136,
        0.470548,
        0.47192,
        0.471642,
        0.473507,
        0.482004,
        0.480569,
        0.47266,
        0.470927,
        0.467601,
        0.466981,
        0.46763,
        0.472067,
        0.485694,
        0.501207,
        0.498329,
        0.484499,
        0.483572,
        0.482923,
        0.471998,
        0.466575,
        0.464578,
        0.464736,
        0.464145,
        0.462747,
        0.46427,
        0.467889,
        0.469323,
        0.468037,
        0.468026,
        0.468844,
        0.46578,
        0.466065,
        0.466405,
        0.466253,
        0.465274,
        0.465311,
        0.464683,
        0.465335,
        0.466193,
        0.468197,
        0.468036,
        0.467011,
        0.467476,
        0.468237,
        0.46667,
        0.467831,
        0.466636,
        0.465897,
        0.466637,
        0.470349,
        0.475576,
        0.471788,
        0.469074,
        0.46827,
        0.466708,
        0.467126,
        0.4681,
        0.471132,
        0.474613,
        0.474476,
        0.469624,
        0.46501,
        0.466751,
        0.466585,
        0.467421,
        0.465313,
        0.465133,
        0.465972,
        0.469771,
        0.476797,
        0.482971,
        0.478945,
        0.470973,
        0.467983,
        0.470835,
        0.471164,
        0.468834,
        0.466379,
        0.46629,
        0.468897,
        0.471062,
        0.471662,
        0.470308,
        0.472141,
        0.473989,
        0.475248,
        0.472562,
        0.467755,
        0.46647,
        0.467399,
        0.468462,
        0.468285,
        0.465799,
        0.46548,
        0.465169,
        0.465867,
        0.46642,
        0.467139,
        0.467351,
        0.466456,
        0.466518,
        0.470484,
        0.48665,
        0.492189,
        0.480299,
        0.469514,
        0.465526,
        0.465355,
        0.465556,
        0.465051,
        0.464531,
        0.466249,
        0.467713,
        0.465463,
        0.465908,
        0.464151,
        0.463181,
        0.462884,
        0.464162,
        0.466099,
        0.465973,
        0.466974,
        0.46633,
        0.46839,
        0.4701,
        0.47105,
        0.46804,
        0.465591,
        0.46507,
        0.465338,
        0.464397,
        0.464307,
        0.462883,
        0.465323,
        0.464898,
        0.463649,
        0.466447,
        0.47005,
        0.472515,
        0.470412,
        0.468352,
        0.465999,
        0.465157,
        0.463891,
        0.463976,
        0.463389,
        0.464128,
        0.466929,
        0.470393,
        0.471511,
        0.469478,
        0.4683,
        0.466486,
        0.465741,
        0.465182,
        0.465232,
        0.464431,
        0.464688,
        0.46389,
        0.463645,
        0.463391,
        0.463172,
        0.463626,
        0.464205,
        0.464807,
        0.465079,
        0.466177,
        0.468518,
        0.470239,
        0.473833,
        0.475066,
        0.471451,
        0.465669,
        0.464683,
        0.463166,
        0.465334,
        0.468809,
        0.46941,
        0.468375,
        0.466422,
        0.465173,
        0.464682,
        0.465868,
        0.466041,
        0.466979,
        0.464366,
        0.463302,
        0.464907,
        0.464542,
        0.464213,
        0.465926,
        0.466893,
        0.465515,
        0.466361,
        0.464834,
        0.466323,
        0.462153,
        0.464402,
        0.464491,
        0.464707,
        0.464427,
        0.467485,
        0.469798,
        0.467666,
        0.464596,
        0.46464,
        0.465599,
        0.465282,
        0.466777,
        0.467417,
        0.470035,
        0.470134,
        0.466581,
        0.463923,
        0.46442,
        0.462362,
        0.462086,
        0.462765,
        0.461518,
        0.46371,
        0.465953,
        0.467475,
        0.46719,
        0.467456,
        0.468558,
        0.468982,
        0.465979,
        0.465387,
        0.465948,
        0.464755,
        0.467753,
        0.472189,
        0.476153,
        0.481439,
        0.491429,
        0.496116,
        0.496141,
        0.491863,
        0.481986,
        0.473343,
        0.468877,
        0.467744,
        0.465369,
        0.462426,
        0.461185,
        0.462412,
        0.462057,
        0.462571,
        0.463965,
        0.465265,
        0.463958,
        0.464774,
        0.466673,
        0.465873,
        0.467416,
        0.464861,
        0.464247,
        0.465458,
        0.465238,
        0.464073,
        0.464063,
        0.463676,
        0.464985,
        0.464991,
        0.467332,
        0.471147,
        0.473176,
        0.471307,
        0.467154,
        0.468396,
        0.467716,
        0.467994,
        0.46571,
        0.463361,
        0.462291,
        0.461713,
        0.462289,
        0.462418,
        0.46391,
        0.464829,
        0.464529,
        0.464056,
        0.464017,
        0.463244,
        0.463627,
        0.466132,
        0.465101,
        0.464362,
        0.463064,
        0.461688,
        0.462427,
        0.464636,
        0.467098,
        0.468686,
        0.47063,
        0.472142,
        0.469246,
        0.466396,
        0.464999,
        0.467149,
        0.474651,
        0.492729,
        0.492158,
        0.475657,
        0.465812,
        0.463024,
        0.463827,
        0.464116,
        0.464787,
        0.466085,
        0.465338,
        0.464926,
        0.463873,
        0.46357,
        0.464618,
        0.464268,
        0.463961,
        0.463298,
        0.464442,
        0.462091,
        0.462683,
        0.462603,
        0.462518,
        0.462383,
        0.463051,
        0.463011,
        0.462981,
        0.463225,
        0.463184,
        0.463875,
        0.463269,
        0.463734,
        0.466662,
        0.476065,
        0.481264,
        0.470159,
        0.467352,
        0.469783,
        0.473749,
        0.471191,
        0.467775,
        0.465123,
        0.465055,
        0.463818,
        0.461598,
        0.462281,
        0.461461,
        0.46034,
        0.461609,
        0.463084,
        0.462672,
        0.465206,
        0.46562,
        0.466884,
        0.46691,
        0.464994,
        0.465252,
        0.466154,
        0.469608,
        0.471019,
        0.466355,
        0.461396,
        0.46181,
        0.460844,
        0.462349,
        0.46354,
        0.462414,
        0.465242,
        0.465152,
        0.464853,
        0.462318,
        0.462137,
        0.464827,
        0.462892,
        0.462444,
        0.461667,
        0.461313,
        0.462094,
        0.461254,
        0.460965,
        0.464265,
        0.476356,
        0.498044,
        0.497263,
        0.487113,
        0.48924,
        0.485752,
        0.471696,
        0.46501,
        0.464782,
        0.478123,
        0.500892,
        0.499788,
        0.47926,
        0.468474,
        0.47102,
        0.484603,
        0.484294,
        0.471055,
        0.462587,
        0.461762,
        0.459579,
        0.461021,
        0.462272,
        0.465882,
        0.463372,
        0.461924,
        0.462365,
        0.459868,
        0.460382,
        0.462181,
        0.470352,
        0.495621,
        0.504827,
        0.487235,
        0.469007,
        0.462145,
        0.463281,
        0.460827,
        0.461556,
        0.462075,
        0.461189,
        0.461142,
        0.461684,
        0.460521,
        0.461641,
        0.461806,
        0.463339,
        0.463196,
        0.46365,
        0.4605,
        0.460585,
        0.466382,
        0.481572,
        0.502342,
        0.496457,
        0.483321,
        0.48294,
        0.476099,
        0.467431,
        0.46312,
        0.46268,
        0.46136,
        0.461788,
        0.463611,
        0.462716,
        0.461936,
        0.461869,
        0.461903,
        0.461447,
        0.460111,
        0.459496,
        0.461331,
        0.46016,
        0.460566,
        0.46312,
        0.472084,
        0.491248,
        0.497704,
        0.496902,
        0.504577,
        0.509153,
        0.495894,
        0.499288,
        0.509084,
        0.497542,
        0.477223,
        0.467188,
        0.470243,
        0.485295,
        0.487885,
        0.476469,
        0.477253,
        0.478607,
        0.479191,
        0.483244,
        0.510206,
        0.532335,
        0.503904,
        0.474525,
        0.465981,
        0.460383,
        0.458865,
        0.459212,
        0.464376,
        0.478399,
        0.49053,
        0.48649,
        0.472128,
        0.466051,
        0.466207,
        0.476955,
        0.500392,
        0.508475,
        0.492189,
        0.47383,
        0.471637,
        0.474284,
        0.471754,
        0.467364,
        0.465333,
        0.463489,
        0.467214,
        0.480179,
        0.495788,
        0.487527,
        0.472144,
        0.464,
        0.46358,
        0.466059,
        0.473295,
        0.487234,
        0.494922,
        0.478678,
        0.470886,
        0.469951,
        0.465288,
        0.462207,
        0.46676,
        0.489099,
        0.499203,
        0.483844,
        0.471097,
        0.470497,
        0.478021,
        0.47796,
        0.469714,
        0.461862,
        0.458144,
        0.457678,
        0.462878,
        0.480051,
        0.49452,
        0.488651,
        0.470177,
        0.46437,
        0.459319,
        0.458828,
        0.460092,
        0.459059,
        0.455628,
        0.454257,
        0.458402,
        0.46031,
        0.467525,
        0.478727,
        0.479986,
        0.474202,
        0.472302,
        0.473087,
        0.46809,
        0.462846,
        0.459931,
        0.46224,
        0.478608,
        0.497507,
        0.49294,
        0.4765,
        0.463377,
        0.461045,
        0.464951,
        0.468156,
        0.466687,
        0.469482,
        0.486375,
        0.502597,
        0.485396,
        0.474592,
        0.481792,
        0.483812,
        0.472467,
        0.466076,
        0.467531,
        0.468514,
        0.471797,
        0.474184,
        0.469853,
        0.466542,
        0.467734,
        0.475701,
        0.48279,
        0.478745,
        0.470287,
        0.467908,
        0.468998,
        0.48278,
        0.505911,
        0.537945,
        0.536797,
        0.499902,
        0.471235,
        0.464789,
        0.47527,
        0.502584,
        0.512836,
        0.490635,
        0.468412,
        0.463799,
        0.467883,
        0.47601,
        0.481286,
        0.474427,
        0.464541,
        0.460156,
        0.459315,
        0.460338,
        0.46558,
        0.474081,
        0.482651,
        0.491306,
        0.483182,
        0.488951,
        0.503148,
        0.509731,
        0.507808,
        0.509126,
        0.5126,
        0.516565,
        0.504307,
        0.487901,
        0.479997,
        0.4908,
        0.500483,
        0.489117,
        0.47056,
        0.462278,
        0.458922,
        0.456686,
        0.454654,
        0.457022,
        0.457692,
        0.45734,
        0.458107,
        0.456901,
        0.460255,
        0.477544,
        0.505932,
        0.519432,
        0.497607,
        0.47667,
        0.471181,
        0.475283,
        0.477352,
        0.474726,
        0.473872,
        0.491171,
        0.529858,
        0.540398,
        0.505897,
        0.502293,
        0.53222,
        0.552807,
        0.527357,
        0.486714,
        0.463058,
        0.461018,
        0.477262,
        0.50627,
        0.527824,
        0.534888,
        0.542267,
        0.542283,
        0.531592,
        0.524232,
        0.519084,
        0.512828,
        0.510477,
        0.507246,
        0.50044,
        0.489,
        0.481061,
        0.4898,
        0.504347,
        0.514032,
        0.499889,
        0.483269,
        0.467174,
        0.461987,
        0.462201,
        0.465298,
        0.464961,
        0.461353,
        0.459778,
        0.4579,
        0.456696,
        0.45661,
        0.456733,
        0.455565,
        0.455413,
        0.457734,
        0.459468,
        0.461404,
        0.465242,
        0.47594,
        0.491233,
        0.503707,
        0.495656,
        0.478037,
        0.46167,
        0.458973,
        0.461398,
        0.472641,
        0.476504,
        0.469098,
        0.459564,
        0.457603,
        0.457622,
        0.458052,
        0.459071,
        0.461567,
        0.473506,
        0.484051,
        0.484539,
        0.474161,
        0.466757,
        0.459925,
        0.458712,
        0.457232,
        0.454037,
        0.456666,
        0.457147,
        0.455525,
        0.457806,
        0.463751,
        0.477031,
        0.494,
        0.49579,
        0.478416,
        0.469575,
        0.474574,
        0.476244,
        0.471021,
        0.468392,
        0.468814,
        0.466689,
        0.462956,
        0.458112,
        0.454762,
        0.453646,
        0.454044,
        0.452934,
        0.452506,
        0.45252,
        0.452243,
        0.452779,
        0.452759,
        0.451753,
        0.452012,
        0.452524,
        0.454602,
        0.459502,
        0.462489,
        0.478158,
        0.479782,
        0.476155,
        0.472134,
        0.471681,
        0.467336,
        0.458081,
        0.457599,
        0.468458,
        0.482216,
        0.486526,
        0.474572,
        0.482113,
        0.492687,
        0.500271,
        0.485276,
        0.470144,
        0.463131,
        0.460403,
        0.462597,
        0.463623,
        0.464275,
        0.470443,
        0.476113,
        0.477889,
        0.46505,
        0.46615,
        0.466918,
        0.465307,
        0.474958,
        0.490078,
        0.482252,
        0.471051,
        0.460508,
        0.458263,
        0.458297,
        0.457962,
        0.457103,
        0.456287,
        0.458157,
        0.455904,
        0.455946,
        0.456639,
        0.456641,
        0.458622,
        0.462787,
        0.461261,
        0.45734,
        0.456443,
        0.458427,
        0.45987,
        0.462225,
        0.460839,
        0.460069,
        0.466987,
        0.473557,
        0.470748,
        0.468579,
        0.471125,
        0.469201,
        0.466832,
        0.465009,
        0.465574,
        0.466762,
        0.467366,
        0.463299,
        0.457786,
        0.456085,
        0.456899,
        0.456573,
        0.456463,
        0.454251,
        0.453304,
        0.453116,
        0.455305,
        0.458963,
        0.464722,
        0.469441,
        0.471278,
        0.468643,
        0.474558,
        0.479671,
        0.492965,
        0.498144,
        0.502829,
        0.524112,
        0.519219,
        0.511624,
        0.485408,
        0.472872,
        0.460203,
        0.455386,
        0.453834,
        0.451637,
        0.451001,
        0.45367,
        0.457925,
        0.465422,
        0.46832,
        0.460237,
        0.464613,
        0.474239,
        0.497591,
        0.489375,
        0.471937,
        0.458396,
        0.454088,
        0.454724,
        0.456529,
        0.46106,
        0.477858,
        0.481974,
        0.479655,
        0.465117,
        0.466843,
        0.465751,
        0.458901,
        0.463867,
        0.465177,
        0.460861,
        0.456623,
        0.454407,
        0.455244,
        0.457296,
        0.45875,
        0.459127,
        0.455259,
        0.453277,
        0.452427,
        0.453579,
        0.452071,
        0.454979,
        0.454913,
        0.456182,
        0.458403,
        0.463625,
        0.475249,
        0.482247,
        0.479901,
        0.468614,
        0.465839,
        0.466452,
        0.465735,
        0.461291,
        0.456031,
        0.454492,
        0.453846,
        0.454921,
        0.457828,
        0.464594,
        0.471721,
        0.481287,
        0.490505,
        0.486682,
        0.477778,
        0.472135,
        0.469187,
        0.464256,
        0.45895,
        0.456883,
        0.457928,
        0.460054,
        0.462441,
        0.463615,
        0.466161,
        0.468452,
        0.472505,
        0.475826,
        0.472901,
        0.463251,
        0.457048,
        0.453034,
        0.450225,
        0.452636,
        0.455512,
        0.460167,
        0.460044,
        0.456388,
        0.45198,
        0.451141,
        0.452177,
        0.455893,
        0.458876,
        0.460807,
        0.464161,
        0.468521,
        0.467241,
        0.46318,
        0.461984,
        0.467935,
        0.48128,
        0.49305,
        0.483545,
        0.463165,
        0.452344,
        0.452176,
        0.456806,
        0.475752,
        0.501814,
        0.517703,
        0.510694,
        0.502729,
        0.492833,
        0.473133,
        0.460829,
        0.457275,
        0.454463,
        0.460926,
        0.46886,
        0.469798,
        0.463682,
        0.457642,
        0.464768,
        0.469536,
        0.466001,
        0.457526,
        0.453909,
        0.454924,
        0.459556,
        0.462123,
        0.45832,
        0.454372,
        0.451237,
        0.454184,
        0.45609,
        0.460016,
        0.46555,
        0.480526,
        0.482758,
        0.470145,
        0.456761,
        0.451995,
        0.451207,
        0.451532,
        0.451451,
        0.449567,
        0.450452,
        0.450717,
        0.448121,
        0.450975,
        0.451039,
        0.450802,
        0.451188,
        0.451562,
        0.453557,
        0.454779,
        0.457035,
        0.456149,
        0.456725,
        0.458571,
        0.45936,
        0.470229,
        0.482145,
        0.478284,
        0.467478,
        0.464182,
        0.472554,
        0.466653,
        0.457692,
        0.451067,
        0.451757,
        0.452027,
        0.452244,
        0.451111,
        0.451894,
        0.450057,
        0.452256,
        0.457119,
        0.471979,
        0.483364,
        0.483184,
        0.468542,
        0.461346,
        0.454374,
        0.451453,
        0.454791,
        0.455766,
        0.455532,
        0.455692,
        0.454356,
        0.451175,
        0.452603,
        0.452533,
        0.451394,
        0.450621,
        0.4497,
        0.450325,
        0.453529,
        0.454384,
        0.457302,
        0.465436,
        0.46999,
        0.468934,
        0.462372,
        0.459683,
        0.460304,
        0.462654,
        0.461684,
        0.458643,
        0.457696,
        0.455206,
        0.45601,
        0.455275,
        0.455218,
        0.455897,
        0.457372,
        0.463198,
        0.468156,
        0.464008,
        0.457076,
        0.451916,
        0.451832,
        0.452098,
        0.452392,
        0.454026,
        0.455835,
        0.459159,
        0.474959,
        0.49414,
        0.513272,
        0.517693,
        0.513807,
        0.495028,
        0.473199,
        0.462284,
        0.461773,
        0.466076,
        0.461692,
        0.455161,
        0.45298,
        0.449548,
        0.450655,
        0.452782,
        0.453084,
        0.452262,
        0.451797,
        0.449648,
        0.449078,
        0.450065,
        0.454937,
        0.466545,
        0.476717,
        0.469562,
        0.457084,
        0.452554,
        0.455222,
        0.458898,
        0.464274,
        0.470569,
        0.470575,
        0.467308,
        0.461414,
        0.454301,
        0.450585,
        0.448647,
        0.447877,
        0.448651,
        0.449016,
        0.449461,
        0.453446,
        0.461203,
        0.465502,
        0.46114,
        0.454596,
        0.451419,
        0.451595,
        0.451382,
        0.455173,
        0.455262,
        0.456476,
        0.466633,
        0.470714,
        0.466363,
        0.454244,
        0.449275,
        0.447831,
        0.446216,
        0.444643,
        0.447249,
        0.451371,
        0.458989,
        0.466338,
        0.472884,
        0.461002,
        0.455814,
        0.454712,
        0.456648,
        0.454822,
        0.450792,
        0.447946,
        0.450284,
        0.448279,
        0.44904,
        0.447516,
        0.449968,
        0.461295,
        0.482582,
        0.494252,
        0.492267,
        0.481041,
        0.468106,
        0.455142,
        0.453764,
        0.451672,
        0.45047,
        0.449212,
        0.447829,
        0.446952,
        0.447962,
        0.447872,
        0.44737,
        0.447409,
        0.44674,
        0.4482,
        0.452563,
        0.454481,
        0.453783,
        0.448802,
        0.447366,
        0.448509,
        0.448195,
        0.449153,
        0.450407,
        0.455818,
        0.477247,
        0.495767,
        0.503803,
        0.486313,
        0.478289,
        0.471362,
        0.459806,
        0.455555,
        0.450423,
        0.443624,
        0.448134,
        0.451782,
        0.464388,
        0.481138,
        0.494482,
        0.486795,
        0.471245,
        0.455902,
        0.448873,
        0.449066,
        0.450328,
        0.460872,
        0.473413,
        0.473004,
        0.459761,
        0.452489,
        0.445536,
        0.446471,
        0.447792,
        0.450183,
        0.450064,
        0.449617,
        0.449468,
        0.449946,
        0.449644,
        0.448277,
        0.446288,
        0.447806,
        0.448116,
        0.449466,
        0.450197,
        0.449304,
        0.447626,
        0.447893,
        0.449134,
        0.451287,
        0.454098,
        0.460552,
        0.464598,
        0.463538,
        0.469495,
        0.480181,
        0.476044,
        0.466496,
        0.454581,
        0.450388,
        0.451391,
        0.45487,
        0.456817,
        0.459992,
        0.46657,
        0.47016,
        0.466949,
        0.460361,
        0.454959,
        0.45266,
        0.451336,
        0.451,
        0.451668,
        0.45555,
        0.462784,
        0.460226,
        0.454445,
        0.448746,
        0.446877,
        0.445913,
        0.448711,
        0.455469,
        0.460628,
        0.461141,
        0.453775,
        0.450064,
        0.449134,
        0.449276,
        0.452122,
        0.455807,
        0.45114,
        0.449177,
        0.447645,
        0.448485,
        0.455244,
        0.462857,
        0.479214,
        0.471877,
        0.460965,
        0.452734,
        0.452914,
        0.45334,
        0.45186,
        0.450842,
        0.450779,
        0.453454,
        0.454305,
        0.451324,
        0.449345,
        0.44682,
        0.445224,
        0.445496,
        0.448545,
        0.448354,
        0.447506,
        0.449641,
        0.448802,
        0.447612,
        0.447067,
        0.447245,
        0.448708,
        0.451816,
        0.452368,
        0.452642,
        0.451036,
        0.448593,
        0.451818,
        0.455478,
        0.456947,
        0.452444,
        0.450637,
        0.456257,
        0.470857,
        0.473502,
        0.468823,
        0.455133,
        0.447892,
        0.44539,
        0.446195,
        0.446621,
        0.453936,
        0.477267,
        0.496712,
        0.499312,
        0.475306,
        0.457228,
        0.449466,
        0.447751,
        0.447898,
        0.447327,
        0.446993,
        0.447344,
        0.448871,
        0.454063,
        0.462135,
        0.466378,
        0.460198,
        0.451462,
        0.4438,
        0.443928,
        0.448317,
        0.455371,
        0.478264,
        0.502794,
        0.501684,
        0.476999,
        0.461317,
        0.456716,
        0.455996,
        0.451412,
        0.448293,
        0.448012,
        0.448515,
        0.449555,
        0.44942,
        0.447598,
        0.446441,
        0.446787,
        0.445953,
        0.444364,
        0.446058,
        0.446571,
        0.448306,
        0.450906,
        0.457274,
        0.469246,
        0.471962,
        0.467325,
        0.45909,
        0.451326,
        0.446951,
        0.446055,
        0.446655,
        0.444591,
        0.447321,
        0.44881,
        0.448816,
        0.448893,
        0.447532,
        0.448672,
        0.450821,
        0.452169,
        0.459505,
        0.464647,
        0.461985,
        0.456313,
        0.465101,
        0.48047,
        0.495095,
        0.487501,
        0.464453,
        0.450833,
        0.448089,
        0.449619,
        0.460428,
        0.467821,
        0.462827,
        0.454026,
        0.446537,
        0.444131,
        0.445015,
        0.445343,
        0.447295,
        0.446889,
        0.445651,
        0.445946,
        0.445746,
        0.444182,
        0.44647,
        0.448781,
        0.450576,
        0.451194,
        0.44997,
        0.448857,
        0.448985,
        0.445892,
        0.446112,
        0.451903,
        0.453753,
        0.451336,
        0.449081,
        0.450441,
        0.454403,
        0.461501,
        0.46449,
        0.459509,
        0.453971,
        0.451128,
        0.449857,
        0.447889,
        0.445476,
        0.445265,
        0.447345,
        0.447889,
        0.447223,
        0.446548,
        0.444964,
        0.446409,
        0.451245,
        0.464333,
        0.474246,
        0.466706,
        0.454334,
        0.447223,
        0.446008,
        0.447946,
        0.450489,
        0.452718,
        0.457762,
        0.47008,
        0.488655,
        0.490542,
        0.467991,
        0.455074,
        0.449698,
        0.446215,
        0.446727,
        0.448623,
        0.447655,
        0.446323,
        0.447825,
        0.446617,
        0.447635,
        0.447038,
        0.446027,
        0.447897,
        0.450978,
        0.453594,
        0.458956,
        0.465718,
        0.470357,
        0.463224,
        0.455237,
        0.448796,
        0.446555,
        0.447418,
        0.453105,
        0.467509,
        0.477901,
        0.477329,
        0.462089,
        0.450344,
        0.44698,
        0.4455,
        0.444179,
        0.445593,
        0.446604,
        0.455484,
        0.465977,
        0.464603,
        0.454194,
        0.447525,
        0.444706,
        0.445256,
        0.448703,
        0.453565,
        0.460055,
        0.467179,
        0.466094,
        0.460461,
        0.452742,
        0.447105,
        0.45044,
        0.458506,
        0.468729,
        0.469512,
        0.458768,
        0.451409,
        0.447329,
        0.445396,
        0.446996,
        0.45044,
        0.461267,
        0.462675,
        0.455995,
        0.447492,
        0.444552,
        0.445039,
        0.444694,
        0.445607,
        0.444002,
        0.444075,
        0.442827,
        0.444757,
        0.442962,
        0.443504,
        0.445526,
        0.445711,
        0.444916,
        0.440967,
        0.444029,
        0.444853,
        0.443148,
        0.443689,
        0.443643,
        0.444865,
        0.446918,
        0.447248,
        0.447628,
        0.44555,
        0.442946,
        0.444142,
        0.446198,
        0.447829,
        0.448814,
        0.451584,
        0.457352,
        0.471114,
        0.495679,
        0.504393,
        0.49508,
        0.47618,
        0.466484,
        0.462979,
        0.456086,
        0.450138,
        0.448472,
        0.451633,
        0.458406,
        0.459191,
        0.455586,
        0.457629,
        0.478717,
        0.499004,
        0.500587,
        0.477097,
        0.456737,
        0.448802,
        0.447211,
        0.445892,
        0.446519,
        0.446615,
        0.446124,
        0.44686,
        0.447176,
        0.448902,
        0.449858,
        0.450503,
        0.450676,
        0.451475,
        0.453537,
        0.45105,
        0.456867,
        0.47389,
        0.485979,
        0.471346,
        0.455667,
        0.448205,
        0.448187,
        0.448264,
        0.448739,
        0.447879,
        0.44802,
        0.447698,
        0.446466,
        0.449284,
        0.453658,
        0.454034,
        0.449904,
        0.448866,
        0.44782,
        0.448574,
        0.450049,
        0.453129,
        0.459468,
        0.463958,
        0.462544,
        0.455609,
        0.449928,
        0.446969,
        0.445541,
        0.444682,
        0.445249,
        0.445549,
        0.445279,
        0.44618,
        0.446526,
        0.450929,
        0.455773,
        0.454979,
        0.451216,
        0.451974,
        0.457489,
        0.458568,
        0.454835,
        0.449969,
        0.447379,
        0.450807,
        0.4513,
        0.448794,
        0.448095,
        0.447016,
        0.447569,
        0.447577,
        0.444826,
        0.444396,
        0.444053,
        0.444126,
        0.443745,
        0.44449,
        0.445555,
        0.446783,
        0.45185,
        0.453323,
        0.451133,
        0.452349,
        0.460933,
        0.466688,
        0.458059,
        0.450377,
        0.444636,
        0.441965,
        0.444024,
        0.445842,
        0.448553,
        0.45147,
        0.454727,
        0.454316,
        0.45314,
        0.45194,
        0.447537,
        0.44696,
        0.448753,
        0.450117,
        0.451007,
        0.451344,
        0.452414,
        0.452784,
        0.457,
        0.457943,
        0.457792,
        0.450557,
        0.449034,
        0.448156,
        0.450058,
        0.45571,
        0.456166,
        0.454416,
        0.4563,
        0.462328,
        0.462893,
        0.4589,
        0.45507,
        0.449305,
        0.445453,
        0.440984,
        0.441589,
        0.443526,
        0.445958,
        0.447981,
        0.448363,
        0.448911,
        0.448616,
        0.450591,
        0.45385,
        0.456167,
        0.457311,
        0.465421,
        0.476339,
        0.483047,
        0.499504,
        0.523274,
        0.556487,
        0.597791,
        0.646637,
        0.640919,
        0.614605,
        0.573898,
        0.520756,
        0.500101,
        0.492519,
        0.493065,
        0.489301,
        0.492174,
        0.491604,
        0.473105,
        0.468808,
        0.472965,
        0.481481,
        0.475022,
        0.467775,
        0.469081,
        0.480502,
        0.4774,
        0.464727,
        0.458031,
        0.453606,
        0.449675,
        0.452864,
        0.460245,
        0.484784,
        0.493815,
        0.481268,
        0.46262,
        0.450596,
        0.449709,
        0.449395,
        0.449383,
        0.451632,
        0.457758,
        0.459107,
        0.457367,
        0.454051,
        0.454801,
        0.455788,
        0.457872,
        0.460222,
        0.462682,
        0.465807,
        0.469716,
        0.473595,
        0.477419,
        0.48208,
        0.490743,
        0.50376,
        0.517935,
        0.532417,
        0.546646,
        0.547243,
        0.536779,
        0.522395,
        0.509067,
        0.50582,
        0.506349,
        0.506008,
        0.50049,
        0.489412,
        0.47757,
        0.470529,
        0.463634,
        0.458906,
        0.454864,
        0.453143,
        0.452739,
        0.451229,
        0.449972,
        0.451355,
        0.454154,
        0.458039,
        0.458836,
        0.456707,
        0.452643,
        0.449264,
        0.447741,
        0.447664,
        0.450341,
        0.451069,
        0.45035,
        0.450112,
        0.451347,
        0.448951,
        0.448122,
        0.450252,
        0.45549,
        0.463075,
        0.466706,
        0.461314,
        0.45392,
        0.450519,
        0.450777,
        0.450706,
        0.449199,
        0.449972,
        0.452341,
        0.45811,
        0.461775,
        0.459218,
        0.453069,
        0.454488,
        0.455017,
        0.454189,
        0.453832,
        0.451529,
        0.449646,
        0.446915,
        0.445431,
        0.446866,
        0.450123,
        0.451964,
        0.450845,
        0.449431,
        0.448237,
        0.447684,
        0.448654,
        0.45458,
        0.460581,
        0.458027,
        0.448851,
        0.446093,
        0.443528,
        0.442754,
        0.441125,
        0.440122,
        0.442347,
        0.44247,
        0.443206,
        0.442357,
        0.441974,
        0.443184,
        0.44529,
        0.447598,
        0.455101,
        0.47137,
        0.480673,
        0.468966,
        0.455438,
        0.449568,
        0.448697,
        0.449254,
        0.447717,
        0.445411,
        0.443546,
        0.443136,
        0.448047,
        0.452954,
        0.458296,
        0.468322,
        0.470189,
        0.462441,
        0.453106,
        0.44879,
        0.448723,
        0.450391,
        0.451402,
        0.454445,
        0.462017,
        0.46906,
        0.462622,
        0.454693,
        0.455766,
        0.469952,
        0.478372,
        0.472704,
        0.465514,
        0.465151,
        0.46336,
        0.46768,
        0.475381,
        0.474333,
        0.463978,
        0.453998,
        0.447328,
        0.447322,
        0.445406,
        0.446817,
        0.454582,
        0.471263,
        0.481835,
        0.471057,
        0.459504,
        0.451323,
        0.448195,
        0.448789,
        0.451676,
        0.458357,
        0.466215,
        0.465326,
        0.459502,
        0.452394,
        0.449344,
        0.449471,
        0.457154,
        0.475619,
        0.492844,
        0.487876,
        0.467916,
        0.452736,
        0.448617,
        0.447192,
        0.446706,
        0.445055,
        0.445662,
        0.445198,
        0.444513,
        0.447472,
        0.450358,
        0.45052,
        0.44944,
        0.450126,
        0.448123,
        0.446394,
        0.447823,
        0.448292,
        0.447646,
        0.447449,
        0.445931,
        0.446104,
        0.447012,
        0.446802,
        0.446267,
        0.448873,
        0.455798,
        0.461987,
        0.46514,
        0.462994,
        0.459292,
        0.452037,
        0.445992,
        0.449645,
        0.442814,
        0.446292,
        0.447377,
        0.445651,
        0.451363,
        0.453959,
        0.455865,
        0.459698,
        0.463568,
        0.461713,
        0.462987,
        0.475099,
        0.473243,
        0.460676,
        0.450791,
        0.452712,
        0.451954,
        0.452,
        0.450552,
        0.449891,
        0.450505,
        0.450287,
        0.450782,
        0.449474,
        0.45205,
        0.451582,
        0.450859,
        0.453056,
        0.454452,
        0.451238,
        0.450144,
        0.451176,
        0.452767,
        0.45229,
        0.450018,
        0.451467,
        0.451307,
        0.452215,
        0.450412,
        0.450963,
        0.451181,
        0.453063,
        0.454787,
        0.453595,
        0.455179,
        0.456928,
        0.456818,
        0.454985,
        0.458656,
        0.471075,
        0.475834,
        0.472029,
        0.484191,
        0.478195,
        0.462723,
        0.458252,
        0.459665,
        0.458796,
        0.455183,
        0.455568,
        0.453096,
        0.452533,
        0.454025,
        0.452841,
        0.453059,
        0.454675,
        0.456049,
        0.453919,
        0.455384,
        0.460556,
        0.465237,
        0.471615,
        0.472886,
        0.468909,
        0.465957,
        0.462037,
        0.461508,
        0.458817,
        0.4639,
        0.484161,
        0.485459,
        0.465793,
        0.453305,
        0.454617,
        0.454339,
        0.453182,
        0.456661,
        0.466173,
        0.46647,
        0.462159,
        0.475823,
        0.475716,
        0.465178,
        0.465509,
        0.474135,
        0.473262,
        0.462119,
        0.462307,
        0.461439,
        0.461113,
        0.462253,
        0.464916,
        0.464659,
        0.469072,
        0.471411,
        0.47471,
        0.475447,
        0.466958,
        0.464713,
        0.460783,
        0.46017,
        0.454586,
        0.456117,
        0.456661,
        0.458928,
        0.458133,
        0.456328,
        0.456586,
        0.457091,
        0.458162,
        0.457471,
        0.458126,
        0.468012,
        0.48582,
        0.490487,
        0.473051,
        0.463508,
        0.462415,
        0.471875,
        0.479102,
        0.468536,
        0.460634,
        0.456333,
        0.457058,
        0.456301,
        0.45779,
        0.458393,
        0.458752,
        0.459216,
        0.462152,
        0.45974,
        0.461743,
        0.461211,
        0.461233,
        0.467043,
        0.471216,
        0.464155,
        0.458192,
        0.459606,
        0.457919,
        0.459926,
        0.45941,
        0.460153,
        0.459078,
        0.458411,
        0.457472,
        0.458152,
        0.458498,
        0.460145,
        0.461468,
        0.463509,
        0.466432,
        0.469896,
        0.474808,
        0.479526,
        0.483127,
        0.477517,
        0.46902,
        0.471299,
        0.464682,
        0.465154,
        0.469305,
        0.469946,
        0.466233,
        0.46452,
        0.466996,
        0.479328,
        0.482748,
        0.469915,
        0.464298,
        0.465555,
        0.468605,
        0.468414,
        0.4724,
        0.477446,
        0.485036,
        0.480694,
        0.475636,
        0.474309,
        0.475009,
        0.474188,
        0.475713,
        0.491278,
        0.493852,
        0.486761,
        0.492461,
        0.477523,
        0.469901,
        0.468057,
        0.469746,
        0.471471,
        0.470352,
        0.470557,
        0.473635,
        0.474979,
        0.480259,
        0.475592,
        0.478501,
        0.475564,
        0.471925,
        0.467993,
        0.468471,
        0.470474,
        0.4697,
        0.470397,
        0.47192,
        0.472089,
        0.471184,
        0.471002,
        0.468941,
        0.46797,
        0.47677,
        0.485886,
        0.484613,
        0.476839,
        0.471738,
        0.471224,
        0.470504,
        0.470316,
        0.473314,
        0.475613,
        0.479073,
        0.475217,
        0.473486,
        0.471284,
        0.47454,
        0.473255,
        0.47724,
        0.486006,
        0.493259,
        0.487712,
        0.485772,
        0.480681,
        0.480181,
        0.484465,
        0.482785,
        0.47652,
        0.480252,
        0.483766,
        0.479594,
        0.476891,
        0.474173,
        0.473904,
        0.473757,
        0.480077,
        0.475741,
        0.479029,
        0.47628,
        0.477331,
        0.480285,
        0.483399,
        0.481567,
        0.479188,
        0.478079,
        0.477399,
        0.47976,
        0.479909,
        0.47856,
        0.477152,
        0.477281,
        0.476738,
        0.479828,
        0.480153,
        0.481835,
        0.478517,
        0.480151,
        0.478459,
        0.482064,
        0.479631,
        0.483626,
        0.494152,
        0.501385,
        0.497681,
        0.490137,
        0.48979,
        0.487255,
        0.486338,
        0.484386,
        0.489473,
        0.491975,
        0.493323,
        0.489164,
        0.495251,
        0.495444,
        0.488682,
        0.485743,
        0.48834,
        0.486923,
        0.494107,
        0.493565,
        0.492436,
        0.493931,
        0.500045,
        0.497854,
        0.493037,
        0.49273,
        0.496736,
        0.503364,
        0.506522,
        0.50849,
        0.499994,
        0.497499,
        0.498611,
        0.501305,
        0.494781,
        0.494578,
        0.492721,
        0.495454,
        0.496899,
        0.501148,
        0.496887,
        0.495483,
        0.493606,
        0.493818,
        0.493917,
        0.498765,
        0.506439,
        0.512123,
        0.503606,
        0.497637,
        0.49765,
        0.498686,
        0.502378,
        0.501682,
        0.500009,
        0.498773,
        0.501375,
        0.500314,
        0.500999,
        0.499879,
        0.501334,
        0.498877,
        0.500053,
        0.500482,
        0.503439,
        0.500276,
        0.504384,
        0.508138,
        0.504254,
        0.502744,
        0.501182,
        0.503289,
        0.502858,
        0.505433,
        0.504282,
        0.506696,
        0.510418,
        0.516821,
        0.512252,
        0.509704,
        0.506808,
        0.50918,
        0.511165,
        0.511038,
        0.508258,
        0.509005,
        0.507401,
        0.507809,
        0.506686,
        0.510926,
        0.509386,
        0.511775,
        0.510235,
        0.510877,
        0.509222,
        0.510641,
        0.511107,
        0.510111,
        0.511104,
        0.513108,
        0.516264,
        0.515798,
        0.516922,
        0.512586,
        0.514844,
        0.514951,
        0.519118,
        0.52074,
        0.522446,
        0.524763,
        0.530182,
        0.533843,
        0.541662,
        0.547477,
        0.544781,
        0.54128,
        0.541819,
        0.533889,
        0.529594,
        0.536442,
        0.53446,
        0.524494,
        0.520474,
        0.522806,
        0.523579,
        0.524056,
        0.523433,
        0.52575,
        0.525443,
        0.524049,
        0.524147,
        0.526476,
        0.525145,
        0.526874,
        0.52559,
        0.528044,
        0.525313,
        0.527454,
        0.527554,
        0.52947,
        0.529866,
        0.534728,
        0.544016,
        0.545714,
        0.535228,
        0.533778,
        0.531456,
        0.530667,
        0.531537,
        0.534277,
        0.531247,
        0.532273,
        0.535215,
        0.532949,
        0.532095,
        0.532103,
        0.535119,
        0.534572,
        0.531728,
        0.534025,
        0.533509,
        0.531441,
        0.535184,
        0.536429,
        0.53718,
        0.536628,
        0.536824,
        0.54081,
        0.538877,
        0.536548,
        0.538057,
        0.538537,
        0.540966,
        0.543942,
        0.544221,
        0.543107,
        0.54165,
        0.540828,
        0.540071,
        0.542976,
        0.54548,
        0.546498,
        0.542259,
        0.54096,
        0.546314,
        0.550282,
        0.545962,
        0.54301,
        0.543228,
        0.54584,
        0.545902,
        0.545386,
        0.543073,
        0.545617,
        0.545023,
        0.54604,
        0.546915,
        0.551081,
        0.55338,
        0.551707,
        0.550655,
        0.549095,
        0.547249,
        0.547266,
        0.549524,
        0.548224,
        0.548163,
        0.54839,
        0.550162,
        0.553135,
        0.549306,
        0.548862,
        0.550958,
        0.55117,
        0.550828,
        0.55092,
        0.549849,
        0.550892,
        0.551171,
        0.551664,
        0.552647,
        0.55349,
        0.554759,
        0.552827,
        0.551988,
        0.553045,
        0.553111,
        0.553424,
        0.555482,
        0.557989,
        0.560434,
        0.558205,
        0.558705,
        0.557719,
        0.557852,
        0.55664,
        0.559713,
        0.55918,
        0.561558,
        0.560768,
        0.560833,
        0.564717,
        0.567137,
        0.565137,
        0.562222,
        0.562141,
        0.563775,
        0.563578,
        0.563015,
        0.563533,
        0.565493,
        0.564538,
        0.564039,
        0.563267,
        0.562101,
        0.566699,
        0.567714,
        0.567556,
        0.56627,
        0.564368,
        0.566647,
        0.563974,
        0.566066,
        0.564765,
        0.568112,
        0.572998,
        0.571745,
        0.569801,
        0.569593,
        0.569673,
        0.569546,
        0.568358,
        0.568951,
        0.572466,
        0.578352,
        0.579272,
        0.572211,
        0.569929,
        0.569285,
        0.572076,
        0.572872,
        0.574319,
        0.577902,
        0.581427,
        0.57999,
        0.582078,
        0.577927,
        0.576672,
        0.576691,
        0.576385,
        0.575727,
        0.579654,
        0.581564,
        0.581822,
        0.578587,
        0.581043,
        0.578805,
        0.580695,
        0.580624,
        0.581559,
        0.579805,
        0.585227,
        0.579476,
        0.5815,
        0.577854,
        0.57745,
        0.577585,
        0.58048,
        0.578494,
        0.58179,
        0.584521,
        0.584055,
        0.582715,
        0.584156,
        0.582487,
        0.583366,
        0.580213,
        0.58404,
        0.583838,
        0.590008,
        0.58931,
        0.590128,
        0.589009,
        0.588606,
        0.585156,
        0.586729,
        0.583867,
        0.585586,
        0.585558,
        0.588952,
        0.586468,
        0.586477,
        0.585097,
        0.587355,
        0.587106,
        0.591531,
        0.592359,
        0.592348,
        0.590044,
        0.589742,
        0.588594,
        0.590019,
        0.58761,
        0.589952,
        0.589346,
        0.590934,
        0.592798,
        0.594179,
        0.594767,
        0.593611,
        0.592138,
        0.591414,
        0.592458,
        0.592962,
        0.594339,
        0.595977,
        0.596193,
        0.598145,
        0.59848,
        0.597238,
        0.597618,
        0.59647,
        0.598568,
        0.600148,
        0.604803,
        0.603132,
        0.605904,
        0.609034,
        0.606637,
        0.600036,
        0.601407,
        0.599681,
        0.600994,
        0.599537,
        0.602601,
        0.601525,
        0.605244,
        0.604201,
        0.603271,
        0.600032,
        0.601178,
        0.599562,
        0.602977,
        0.602,
        0.601399,
        0.601113,
        0.603977,
        0.601791,
        0.606059,
        0.604692,
        0.602726,
        0.604716,
        0.609474,
        0.611913,
        0.609714,
        0.604772,
        0.606219,
        0.607558,
        0.606751,
        0.608448,
        0.609655,
        0.609341,
        0.610746,
        0.609511,
        0.606844,
        0.610104,
        0.611684,
        0.613793,
        0.612652,
        0.612825,
        0.613581,
        0.613723,
        0.614578,
        0.612853,
        0.612793,
        0.612236,
        0.612242,
        0.613505,
        0.612797,
        0.613505,
        0.613002,
        0.615632,
        0.612245,
        0.613107,
        0.612633,
        0.614265,
        0.613436,
        0.61546,
        0.616758,
        0.616205,
        0.613931,
        0.615241,
        0.617076,
        0.615716,
        0.613533,
        0.615054,
        0.616109,
        0.620234,
        0.621103,
        0.628038,
        0.623302,
        0.622086,
        0.620056,
        0.621574,
        0.620693,
        0.622282,
        0.624841,
        0.628622,
        0.627912,
        0.628862,
        0.628731,
        0.628071,
        0.625169,
        0.62498,
        0.622631,
        0.62247,
        0.621982,
        0.627679,
        0.625113,
        0.62389,
        0.623816,
        0.623717,
        0.624772,
        0.623811,
        0.623544,
        0.623999,
        0.626056,
        0.625213,
        0.627317,
        0.625048,
        0.626226,
        0.624899,
        0.626478,
        0.625193,
        0.628474,
        0.629057,
        0.633772,
        0.632326,
        0.634549,
        0.632393,
        0.63391,
        0.632666,
        0.632764,
        0.631907,
        0.630829,
        0.630897,
        0.629618,
        0.632141,
        0.633558,
        0.635144,
        0.635215,
        0.635064,
        0.634036,
        0.63663,
        0.632948,
        0.63489,
        0.634908,
        0.637068,
        0.63934,
        0.645871,
        0.650645,
        0.651729,
        0.651863,
        0.659684,
        0.663166,
        0.660281,
        0.656545,
        0.650376,
        0.646447,
        0.645267,
        0.645768,
        0.644447,
        0.642636,
        0.643939,
        0.646754,
        0.64559,
        0.642383,
        0.641897,
        0.641779,
        0.641397,
        0.642507,
        0.641894,
        0.644296,
        0.643308,
        0.642965,
        0.641225,
        0.641416,
        0.642997,
        0.641906,
        0.645054,
        0.644547,
        0.648173,
        0.6483,
        0.649536,
        0.648109,
        0.648254,
        0.648597,
        0.651869,
        0.651732,
        0.650972,
        0.649967,
        0.648683,
        0.649516,
        0.651201,
        0.653111,
        0.653002,
        0.655112,
        0.654223,
        0.652223,
        0.650574,
        0.6519,
        0.651987,
        0.650772,
        0.651074,
        0.652714,
        0.654679,
        0.656472,
        0.656758,
        0.657706,
        0.656999,
        0.656554,
        0.653246,
        0.654773,
        0.656116,
        0.657424,
        0.656231,
        0.66052,
        0.660892,
        0.663578,
        0.662634,
        0.662819,
        0.664628,
        0.665534,
        0.669505,
        0.677659,
        0.691128,
        0.711287,
        0.729364,
        0.730722,
        0.718462,
        0.702403,
        0.688211,
        0.679835,
        0.672289,
        0.669722,
        0.667353,
        0.66701,
        0.664345,
        0.663737,
        0.664009,
        0.665627,
        0.662112,
        0.662325,
        0.663482,
        0.66474,
        0.663253,
        0.664714,
        0.664986,
        0.665424,
        0.666743,
        0.669518,
        0.669951,
        0.668341,
        0.667528,
        0.6704,
        0.67173,
        0.668208,
        0.66961,
        0.669481,
        0.66989,
        0.671584,
        0.671947,
        0.674502,
        0.672186,
        0.671856,
        0.671651,
        0.670488,
        0.674321,
        0.675283,
        0.674031,
        0.67408,
        0.674418,
        0.67637,
        0.67736,
        0.67834,
        0.677641,
        0.676472,
        0.676405,
        0.678793,
        0.67395,
        0.676152,
        0.675343,
        0.677923,
        0.67873,
        0.676689,
        0.677959,
        0.678018,
        0.679815,
        0.681494,
        0.679826,
        0.680754,
        0.683081,
        0.68007,
        0.681379,
        0.680422,
        0.684713,
        0.685711,
        0.684937,
        0.683846,
        0.686154,
        0.687062,
        0.685485,
        0.684243,
        0.68656,
        0.686946,
        0.686242,
        0.689635,
        0.690223,
        0.691219,
        0.69037,
        0.691314,
        0.693622,
        0.692612,
        0.693826,
        0.693793,
        0.691872,
        0.69463,
        0.692188,
        0.694411,
        0.694577,
        0.693232,
        0.695025,
        0.693251,
        0.696317,
        0.696934,
        0.695868,
        0.698254,
        0.696238,
        0.697666,
        0.696921,
        0.697265,
        0.696842,
        0.698848,
        0.700656,
        0.700462,
        0.698517,
        0.701211,
        0.701986,
        0.700719,
        0.70298,
        0.701395,
        0.702857,
        0.703093,
        0.70112,
        0.70139,
        0.703063,
        0.704277,
        0.707605,
        0.705799,
        0.708122,
        0.707182,
        0.708027,
        0.709858,
        0.708197,
        0.707441,
        0.708299,
        0.711141,
        0.708996,
        0.711516,
        0.709853,
        0.711241,
        0.711325,
        0.711153,
        0.71229,
        0.71259,
        0.711695,
        0.716308,
        0.718393,
        0.717477,
        0.717054,
        0.716348,
        0.719903,
        0.718543,
        0.716029,
        0.716469,
        0.71874,
        0.718788,
        0.718912,
        0.718806,
        0.721776,
        0.723699,
        0.718601,
        0.718977,
        0.72098,
        0.722797,
        0.72556,
        0.72641,
        0.728298,
        0.734691,
        0.737388,
        0.732534,
        0.727592,
        0.724846,
        0.727821,
        0.726664,
        0.729129,
        0.729583,
        0.730446,
        0.729418,
        0.730353,
        0.734526,
        0.730598,
        0.732257,
        0.734215,
        0.735934,
        0.736476,
        0.73148,
        0.736899,
        0.741412,
        0.73958,
        0.735807,
        0.740157,
        0.737491,
        0.739078,
        0.738487,
        0.73951,
        0.741684,
        0.739637,
        0.739476,
        0.741941,
        0.740835,
        0.741659,
        0.743109,
        0.743534,
        0.743682,
        0.745305,
        0.74657,
        0.746339,
        0.744367,
        0.74753,
        0.747001,
        0.750016,
        0.754889,
        0.756514,
        0.756457,
        0.752383,
        0.750988,
        0.74875,
        0.751217,
        0.752766,
        0.755495,
        0.753735,
        0.754732,
        0.755964,
        0.757548,
        0.759468,
        0.758003,
        0.759858,
        0.761806,
        0.761655,
        0.759405,
        0.76099,
        0.759517,
        0.759962,
        0.761636,
        0.758146,
        0.760028,
        0.762414,
        0.761843,
        0.760485,
        0.763523,
        0.764336,
        0.766968,
        0.767677,
        0.770681,
        0.765511,
        0.768171,
        0.764116,
        0.768872,
        0.767311,
        0.767598,
        0.76774,
        0.770239,
        0.769617,
        0.770127,
        0.771506,
        0.767836,
        0.773225,
        0.772994,
        0.775768,
        0.77591,
        0.774987,
        0.775846,
        0.775909,
        0.779894,
        0.780404,
        0.782275,
        0.775998,
        0.772179,
        0.778627,
        0.782097,
        0.778076,
        0.779744,
        0.780014,
        0.782679,
        0.783583,
        0.780371,
        0.782303,
        0.784872,
        0.785938,
        0.782506,
        0.783028,
        0.785798,
        0.787927,
        0.78816,
        0.789178,
        0.788223,
        0.788069,
        0.788427,
        0.788872,
        0.791752,
        0.79124,
        0.790389,
        0.789294,
        0.793515,
        0.795987,
        0.790447,
        0.794261,
        0.796656,
        0.796708,
        0.793327,
        0.79244,
        0.793772,
        0.794898,
        0.797351,
        0.796823,
        0.796292,
        0.797571,
        0.798075,
        0.800444,
        0.80441,
        0.800312,
        0.802722,
        0.802499,
        0.801726,
        0.803434,
        0.80196,
        0.803034,
        0.803251,
        0.804055,
        0.804829,
        0.803176,
        0.805047,
        0.804026,
        0.803343,
        0.806017,
        0.80503,
        0.806884,
        0.809601,
        0.809778,
        0.811579,
        0.812412,
        0.813087,
        0.811866,
        0.809374,
        0.813262,
        0.811072,
        0.811795,
        0.813499,
        0.813112,
        0.812268,
        0.813184,
        0.817775,
        0.817444,
        0.816742,
        0.816471,
        0.815157,
        0.817181,
        0.814925,
        0.818455,
        0.819106,
        0.817965,
        0.820225,
        0.819526,
        0.82105,
        0.824072,
        0.822277,
        0.820569,
        0.821985,
        0.826226,
        0.828738,
        0.826968,
        0.825678,
        0.826455,
        0.827399,
        0.824571,
        0.82495,
        0.826957,
        0.827247,
        0.826941,
        0.826721,
        0.827824,
        0.828884,
        0.827803,
        0.831058,
        0.830606,
        0.83457,
        0.829666,
        0.832264,
        0.83449,
        0.83287,
        0.835976,
        0.835246,
        0.834635,
        0.838484,
        0.836447,
        0.832242,
        0.83937,
        0.837843,
        0.838376,
        0.838001,
        0.843939,
        0.841843,
        0.842175,
        0.841417,
        0.844253,
        0.846801,
        0.8467,
        0.846312,
        0.842629,
        0.842773,
        0.844243,
        0.844718,
        0.842571,
        0.840944,
        0.845521,
        0.84487,
        0.842675,
        0.845358,
        0.845698,
        0.849275,
        0.845108,
        0.846463,
        0.847627,
        0.847486,
        0.848576,
        0.848834,
        0.850924,
        0.849017,
        0.848764,
        0.852576,
        0.849798,
        0.853408,
        0.850889,
        0.854059,
        0.853121,
        0.848185,
        0.854403,
        0.850292,
        0.854868,
        0.854376,
        0.854016,
        0.854446,
        0.852602,
        0.8546,
        0.856432,
        0.858924,
        0.859066,
        0.855493,
        0.858435,
        0.858678,
        0.864711,
        0.866384,
        0.860636,
        0.859141,
        0.856244,
        0.858149,
        0.860299,
        0.85891,
        0.859871,
        0.858663,
        0.864069,
        0.86318,
        0.862003,
        0.863078,
        0.862911,
        0.866446,
        0.865445,
        0.865968,
        0.867682,
        0.862526,
        0.865503,
        0.866043,
        0.868101,
        0.868783,
        0.865482,
        0.865864,
        0.863515,
        0.868313,
        0.867811,
        0.86676,
        0.866389,
        0.867786,
        0.870323,
        0.868402,
        0.871652,
        0.870436,
        0.871941,
        0.874448,
        0.874301,
        0.873393,
        0.873621,
        0.874584,
        0.874859,
        0.874588,
        0.87486,
        0.876642,
        0.87683,
        0.878714,
        0.882603,
        0.888915,
        0.895888,
        0.903326,
        0.909339,
        0.910266,
        0.911654,
        0.907535,
        0.896482,
        0.891835,
        0.888002,
        0.887761,
        0.891904,
        0.89398,
        0.888297,
        0.884146,
        0.885079,
        0.884106,
        0.883403,
        0.882285,
        0.882204,
        0.884551,
        0.879757,
        0.882529,
        0.88352,
        0.884632,
        0.884712,
        0.883561,
        0.885875,
        0.884794,
        0.885022,
        0.885185,
        0.885964,
        0.884515,
        0.885852,
        0.887958,
        0.885432,
        0.887398,
        0.892375,
        0.894734,
        0.899711,
        0.894654,
        0.894383,
        0.888968,
        0.889763,
        0.894722,
        0.892287,
        0.894992,
        0.891986,
        0.892142,
        0.892261,
        0.8894,
        0.891875,
        0.891203,
        0.897893,
        0.896187,
        0.89413,
        0.894069,
        0.893528,
        0.895341,
        0.893537,
        0.894494,
        0.893538,
        0.895333,
        0.897213,
        0.897397,
        0.898303,
        0.897416,
        0.905743,
        0.906756,
        0.902923,
        0.900415,
        0.894925,
        0.896084,
        0.897236,
        0.897614,
        0.897148,
        0.89764,
        0.898916,
        0.899153,
        0.902487,
        0.902176,
        0.899835,
        0.901579,
        0.901681,
        0.901485,
        0.901495,
        0.902048,
        0.902214,
        0.90204,
        0.905032,
        0.903498,
        0.905927,
        0.90597,
        0.903858,
        0.904162,
        0.905412,
        0.907778,
        0.904962,
        0.907579,
        0.904801,
        0.907214,
        0.909896,
        0.907683,
        0.91401,
        0.915683,
        0.911405,
        0.907402,
        0.90711,
        0.906214,
        0.90766,
        0.909671,
        0.911056,
        0.908569,
        0.90758,
        0.907242,
        0.909638,
        0.911645,
        0.91148,
        0.910068,
        0.908606,
        0.909606,
        0.909488,
        0.911405,
        0.911441,
        0.909783,
        0.910624,
        0.910753,
        0.911956,
        0.910441,
        0.910638,
        0.910364,
        0.911588,
        0.912284,
        0.910351,
        0.913614,
        0.912002,
        0.914188,
        0.915264,
        0.920063,
        0.924544,
        0.921353,
        0.914032,
        0.910514,
        0.916978,
        0.913475,
        0.914954,
        0.917451,
        0.914529,
        0.916826,
        0.91474,
        0.918755,
        0.916954,
        0.916481,
        0.917181,
        0.916749,
        0.920288,
        0.919318,
        0.91986,
        0.920419,
        0.91646,
        0.920038,
        0.917506,
        0.920298,
        0.91982,
        0.920363,
        0.92205,
        0.923928,
        0.923125,
        0.918699,
        0.920072,
        0.921276,
        0.922502,
        0.922688,
        0.92216,
        0.923637,
        0.919699,
        0.922357,
        0.923809,
        0.924111,
        0.924462,
        0.924024,
        0.924575,
        0.923418,
        0.923679,
        0.923633,
        0.923028,
        0.926387,
        0.926031,
        0.92778,
        0.925956,
        0.928255,
        0.925385,
        0.926085,
        0.926926,
        0.926523,
        0.928122,
        0.928296,
        0.930963,
        0.929826,
        0.930358,
        0.932334,
        0.929526,
        0.930386,
        0.929923,
        0.929985,
        0.927852,
        0.928554,
        0.930136,
        0.931014,
        0.932725,
        0.935279,
        0.933979,
        0.93568,
        0.954116,
        0.960004,
        0.941076,
        0.93665,
        0.935899,
        0.935356,
        0.941165,
        0.944611,
        0.940986,
        0.936883,
        0.936505,
        0.933754,
        0.93376,
        0.93411,
        0.938955,
        0.939012,
        0.93761,
        0.940124,
        0.940531,
        0.938441,
        0.937244,
        0.936149,
        0.936645,
        0.938124,
        0.938567,
        0.939122,
        0.940802,
        0.94024,
        0.941762,
        0.943063,
        0.938479,
        0.941846,
        0.941337,
        0.939295,
        0.943671,
        0.942844,
        0.944252,
        0.945733,
        0.943829,
        0.942271,
        0.94503,
        0.943754,
        0.943779,
        0.945165,
        0.942547,
        0.941514,
        0.945115,
        0.945639,
        0.94646,
        0.945423,
        0.946988,
        0.946025,
        0.947987,
        0.945415,
        0.945474,
        0.945387,
        0.946339,
        0.946666,
        0.947747,
        0.949952,
        0.950788,
        0.949663,
        0.94984,
        0.950592,
        0.948999,
        0.945743,
        0.949432,
        0.947886,
        0.948501,
        0.949098,
        0.953165,
        0.951172,
        0.952843,
        0.953354,
        0.95342,
        0.95446,
        0.951847,
        0.953289,
        0.953174,
        0.954717,
        0.95512,
        0.956171,
        0.954364,
        0.953097,
        0.955124,
        0.953342,
        0.956585,
        0.953737,
        0.954246,
        0.956874,
        0.957748,
        0.960403,
        0.960567,
        0.960934,
        0.957649,
        0.959438,
        0.959459,
        0.967813,
        0.970688,
        0.964477,
        0.965777,
        0.960898,
        0.962181,
        0.96071,
        0.962156,
        0.960363,
        0.963842,
        0.96294,
        0.963318,
        0.965081,
        0.963696,
        0.96353,
        0.963541,
        0.96317,
        0.963707,
        0.969904,
        0.967642,
        0.968473,
        0.965999,
        0.965038,
        0.964415,
        0.963369,
        0.966714,
        0.968418,
        0.969376,
        0.968323,
        0.969676,
        0.968213,
        0.968898,
        0.966999,
        0.967798,
        0.970683,
        0.967782,
        0.965781,
        0.970328,
        0.970488,
        0.97327,
        0.974268,
        0.975884,
        0.977405,
        0.975982,
        0.973354,
        0.976806,
        0.97486,
        0.974526,
        0.972792,
        0.973834,
        0.975276,
        0.973096,
        0.972581,
        0.972291,
        0.973618,
        0.972232,
        0.970128,
        0.973518,
        0.975224,
        0.975865,
        0.974777,
        0.976912,
        0.977578,
        0.976565,
        0.975883,
        0.976025,
        0.977396,
        0.977612,
        0.976986,
        0.978127,
        0.978292,
        0.978296,
        0.989116,
        0.996153,
        0.988662,
        0.978685,
        0.980951,
        0.978589,
        0.980501,
        0.991675,
        0.99468,
        0.993221,
        0.99006,
        0.987279,
        0.981071,
        0.982247,
        0.981494,
        0.981099,
        0.984667,
        0.990191,
        0.98928,
        0.982165,
        0.981719,
        0.982852,
        0.984379,
        0.986654,
        0.986023,
        0.983248,
        0.982513,
        0.979808,
        0.98329,
        0.985935,
        0.992268,
        0.994313,
        0.987275,
        0.982868,
        0.981329,
        0.988409,
        0.985429,
        0.985456,
        0.98307,
        0.98597,
        0.985811,
        0.985358,
        0.990368,
        0.984137,
        0.986676,
        0.986345,
        0.986723,
        0.987315,
        0.984963,
        0.984491,
        0.987856,
        0.986538,
        0.987236,
        0.985677,
        0.986157,
        0.984596,
        0.985674,
        0.984696,
        0.985591,
        0.986007,
        0.989474,
        0.98754,
        0.990041,
        0.989834,
        0.989247,
        0.987967,
        0.987966,
        0.988819,
        0.987112,
        0.988338,
        0.987772,
        0.988412,
        0.98827,
        0.987275,
        0.990983,
        0.990737,
        0.990061,
        0.989067,
        0.99014,
        0.990602,
        0.992384,
        0.990848,
        0.990877,
        0.989984,
        0.990119,
        0.993382,
        0.990357,
        0.989868,
        0.990922,
        0.992984,
        0.991136,
        0.990894,
        0.989623,
        0.990552,
        0.990446,
        0.989716,
        0.992124,
        0.989348,
        0.990609,
        0.991309,
        0.992529,
        0.991853,
        0.993457,
        0.991225,
        0.994381,
        0.992631,
        0.993012,
        0.996213,
        0.992841,
        0.995994,
        0.992741,
        0.995706,
        0.992959,
        0.994225,
        0.995604,
        0.994103,
        0.993277,
        0.991418,
        0.990442,
        0.991823,
        0.993508,
        0.993762,
        0.996273,
        0.991865,
        0.99677,
        0.994254,
        0.995341,
        0.995293,
        0.994656,
        0.994494,
        0.994687,
        0.994836,
        0.996699,
        0.998645,
        0.997108,
        0.998825,
        1.00016,
        0.999752,
        0.995969,
        0.995311,
        0.995242,
        0.996409,
        1.00241,
        1.00607,
        1.00549,
        1.00071,
        0.996017,
        0.994827,
        0.996975,
        0.997042,
        0.997294,
        0.997089,
        0.996299,
        0.994562,
        0.998529,
        0.998977,
        0.996164,
        0.996874,
        0.999955,
        1.00045,
        1.0026,
        0.998344,
        0.992624,
        0.993513,
        0.992577,
        0.995997,
        0.999067,
        0.999987,
        0.995234,
        0.997688,
        0.998681,
        0.996845,
        0.996164,
        0.995921,
        0.996393,
        0.999437,
        1.00136,
        1.00616,
        0.999793,
        0.994254,
        0.996426,
        0.995631,
        0.997674,
        0.998017,
        0.997827,
        0.994094,
        0.996959,
        0.997122,
        0.999283,
        0.999107,
        0.998199,
        0.998251,
        0.99884,
        0.997888,
        1.00072,
        0.999225,
        0.998437,
        1.0018,
        0.9976,
        0.998257,
        0.99892,
        0.998492,
        0.998333,
        0.998763,
        0.998948,
        0.998927,
        0.997174,
        1.00104,
        0.999614,
        0.99956,
        0.999953,
        1.00108,
        1.00135,
        0.998321,
        0.997688,
        1.00053,
        0.999032,
        0.999437,
        1.00081,
        1.0011,
        1.00037,
        0.999603,
        0.998347,
        0.999947,
        1.00038,
        1.00229,
        1.00275,
        0.998489,
        0.997461,
        1.00155,
        1.00015,
        0.999803,
        1.00062,
        1.00091,
        1.0001,
        0.999285,
        0.999802,
        0.999181,
        0.99802,
        1.00154,
        0.999805,
        1.00113,
        1.00024,
        0.998594,
        0.999169,
        0.999167,
        1.00082,
        1.00073,
        1.00001,
        1.00005,
        1.00079,
        0.998891,
        1.00116,
        1.00179,
        0.999602,
        0.998336,
        0.99957,
        1.00066,
        0.999642,
        1.00078,
        1.00195,
        1.00082,
        1.00021,
        1.00029,
        0.999457,
        0.996504,
        0.998361,
        1.00426,
        1.00775,
        1.00813,
        1.00585,
        1.00189,
        0.999973,
        0.999939,
        0.999596,
        1.00258,
        1.00011,
        1.00173,
        1.00196,
        1.00294,
        1.0026,
        1.00015,
        0.999763,
        0.999811,
        0.999501,
        1.00032,
        1.00183,
        1.00611,
        1.00524,
        1.00467,
        1.00595,
        1.00944,
        1.0075,
        1.00573,
        1.00512,
        1.00224,
        1.00045,
        1.00052,
        0.999321,
        0.999747,
        1.00197,
        1.00304,
        1.00285,
        1.00264,
        0.999046,
        0.997526,
        0.997178,
        0.995879,
        0.998065,
        0.997707,
        0.997843,
        0.997427,
        0.997582,
        0.997331,
        0.997348,
        0.996711,
        0.999116,
        0.99712,
        0.997541,
        0.996801,
        0.996337,
        0.997496,
        0.998508,
        0.999001,
        0.999835,
        0.99691,
        0.995576,
        0.997371,
        0.996912,
        0.997816,
        0.999024,
        0.996422,
        0.998581,
        0.996283,
        0.995454,
        0.997517,
        0.999645,
        0.997345,
        0.996044,
        0.995324,
        0.99372,
        0.993663,
        0.997491,
        0.996703,
        0.995863,
        0.996946,
        0.998394,
        0.996958,
        0.996067,
        0.996637,
        0.994403,
        0.995338,
        0.991317,
        0.99532,
        0.996431,
        0.994642,
        0.994161,
        0.994991,
        0.99362,
        0.996125,
        0.997182,
        0.992784,
        0.992528,
        0.99341,
        0.992888,
        0.994913,
        0.996509,
        0.992456,
        0.99421,
        0.994463,
        0.992633,
        0.99606,
        0.997161,
        0.995645,
        0.995049,
        0.993913,
        0.994281,
        0.994777,
        0.994231,
        0.995395,
        0.995149,
        0.997811,
        0.998363,
        0.995367,
        0.99846,
        1.0024,
        1.01089,
        1.00663,
        1.00178,
        0.997543,
        0.994146,
        0.994639,
        0.995997,
        0.995191,
        0.994318,
        0.992985,
        0.995039,
        0.994916,
        0.997323,
        0.998479,
        1.00091,
        1.00431,
        1.00755,
        1.01137,
        1.01768,
        1.02075,
        1.01848,
        1.01525,
        1.00853,
        0.999919,
        0.995821,
        0.99482,
        0.996121,
        0.994966,
        0.993234,
        0.995981,
        1.00332,
        1.01372,
        1.0162,
        1.00503,
        1.00001,
        0.996909,
        0.995215,
        0.993149,
        0.993245,
        0.994246,
        0.994712,
        0.995191,
        0.997482,
        0.995936,
        0.994748,
        0.993443,
        0.997055,
        0.996017,
        0.995102,
        0.996192,
        0.996136,
        0.995009,
        0.995175,
        0.997376,
        0.996278,
        0.995266,
        0.995077,
        0.996911,
        0.997521,
        1.00329,
        1.00024,
        0.997525,
        0.998056,
        0.995672,
        0.994335,
        0.995707,
        0.994385,
        0.994353,
        0.995963,
        0.993811,
        0.995183,
        0.995802,
        0.996721,
        0.999355,
        1.00041,
        0.998812,
        0.995117,
        0.997684,
        0.998904,
        0.996581,
        0.996078,
        0.994749,
        0.997136,
        0.998053,
        0.997392,
        1.00078,
        1.00278,
        1.00709,
        1.0133,
        1.02163,
        1.02752,
        1.03833,
        1.04371,
        1.02594,
        1.02092,
        1.01301,
        1.00319,
        1.00287,
        1.00011,
        1.00065,
        1.00045,
        0.997656,
        0.995807,
        0.99578,
        0.996981,
        0.997506,
        0.99541,
        0.996198,
        0.996928,
        0.995516,
        0.998247,
        0.999152,
        0.999941,
        1.00017,
        0.998717,
        0.995457,
        0.997878,
        0.996798,
        0.992949,
        0.996089,
        0.99733,
        0.997943,
        0.994956,
        0.995971,
        0.99741,
        0.994761,
        0.996869,
        0.995392,
        0.997775,
        0.998465,
        0.998358,
        0.996504,
        0.997572,
        0.99504,
        0.997563,
        0.997979,
        0.996902,
        0.996528,
        0.995133,
        0.997163,
        1.00041,
        0.998975,
        0.998634,
        0.995799,
        0.99674,
        0.996655,
        0.996605,
        1.0001,
        0.999999,
        0.997641,
        1.00086,
        0.99615,
        0.997734,
        1.00191,
        0.999336,
        0.997142,
        0.999476,
        0.995722,
        0.99846,
        1.00056,
        0.99731,
        1.00048,
        1.00276,
        0.999586,
        1.00261,
        1.00156,
        0.998848,
        0.997705,
        0.998893,
        0.997425,
        1.00117,
        1.00488,
        1.0067,
        1.00738,
        1.00355,
        0.999797,
        0.998839,
        0.99878,
        1.00232,
        1.00008,
        0.997286,
        0.997234,
        0.999877,
        0.997519,
        0.997672,
        0.996086,
        0.997327,
        0.999991,
        0.997962,
        0.998576,
        0.999383,
        0.996749,
        0.997733,
        1.00001,
        0.997847,
        0.996932,
        0.997649,
        0.996416,
        1.00088,
        0.999106,
        0.996704,
        0.999157,
        0.998722,
        1.00057,
        0.999276,
        0.997172,
        0.999553,
        1.00339,
        1.00051,
        0.998487,
        1.00164,
        1.00164,
        1.00396,
        1.00185,
        1.00009,
        1.00027,
        1.00046,
        0.999407,
        1.00144,
        0.999718,
        0.999342,
        0.999659,
        0.998392,
        0.999294,
        1.0004,
        0.99977,
        1.00164,
        1.00083,
        1.0,
        1.00129,
        1.00053,
        1.00026,
        1.00208,
        0.997809,
        1.00007,
        1.00125,
        0.998811,
        0.999504,
        1.00069,
        1.00011,
        1.00207,
        1.00075,
        1.00233,
        1.0049,
        0.999418,
        1.00025,
        1.00302,
        0.999711,
        1.0002,
        1.00095,
        1.00129,
        1.00026,
        1.00022,
        0.997655,
        1.00149,
        1.00054,
        0.999874,
        1.00147,
        1.00093,
        1.00049,
        1.00008,
        1.00105,
        1.00316,
        1.00386,
        1.00203,
        1.00403,
        1.00156,
        0.999521,
        1.00329,
        1.00079,
        1.00101,
        1.00274,
        1.0002,
        1.00094,
        1.00153,
        1.00042,
        1.00017,
        0.999245,
        0.997564,
        1.00192,
        1.00111,
        1.001,
        1.00512,
        0.999995,
        1.00316,
        1.0043,
        1.00143,
        1.00095,
        1.00187,
        1.00031,
        1.00394,
        1.00583,
        1.00775,
        1.01014,
        1.00512,
        1.00213,
        1.00188,
        1.00174,
        1.00461,
        1.00278,
        1.00403,
        1.00538,
        1.00425,
        1.00279,
        1.00463,
        1.00635,
        1.00498,
        1.00638,
        1.00322,
        1.00363,
        1.00511,
        1.00295,
        1.0062,
        1.00481,
        1.0027,
        1.00538,
        1.00564,
        1.00504,
        1.00746,
        1.01079,
        1.01344,
        1.01708,
        1.01417,
        1.01405,
        1.0136,
        1.01092,
        1.01126,
        1.01182,
        1.01109,
        1.00889,
        1.00666,
        1.00937,
        1.01016,
        1.0037,
        1.00575,
        1.00778,
        1.00607,
        1.01317,
        1.01656,
        1.01628,
        1.01513,
        1.01035,
        1.00527,
        1.00576,
        1.0053,
        1.00547,
        1.00642,
        1.00272,
        1.00703,
        1.00475,
        1.00078,
        1.00582,
        1.00532,
        1.00578,
        1.0096,
        1.00681,
        1.0073,
        1.00756,
        1.00647,
        1.01078,
        1.01643,
        1.01519,
        1.0104,
        1.00653,
        1.00684,
        1.00581,
        1.00451,
        1.0066,
        1.0071,
        1.00604,
        1.00608,
        1.00717,
        1.0079,
        1.00769,
        1.01017,
        1.00883,
        1.00716,
        1.00715,
        1.00499,
        1.00494,
        1.00688,
        1.00668,
        1.00937,
        1.01833,
        1.0233,
        1.01842,
        1.01244,
        1.00965,
        1.00656,
        1.00622,
        1.00635,
        1.00914,
        1.00532,
        1.00831,
        1.00906,
        1.00518,
        1.00577,
        1.00846,
        1.00848,
        1.00825,
        1.0083,
        1.00536,
        1.00603,
        1.00593,
        1.00844,
        1.00733,
        1.00436,
        1.00817,
        1.00796,
        1.00653,
        1.0066,
        1.00629,
        1.00481,
        1.00542,
        1.00405,
        1.00578,
        1.00791,
        1.00621,
        1.00569,
        1.00855,
        1.00834,
        1.01114,
        1.01484,
        1.01321,
        1.01162,
        1.00844,
        1.00804,
        1.01035,
        1.01375,
        1.01269,
        1.00903,
        1.00622,
        1.00901,
        1.00958,
        1.00525,
        1.00686,
        1.00834,
        1.0091,
        1.0083,
        1.00669,
        1.00703,
        1.00727,
        1.00619,
        1.00879,
        1.00772,
        1.00713,
        1.00962,
        1.01121,
        1.00731,
        1.00716,
        1.00816,
        1.01117,
        1.01831,
        1.02531,
        1.02962,
        1.02194,
        1.01754,
        1.02092,
        1.03419,
        1.03432,
        1.02298,
        1.01363,
        1.01362,
        1.01718,
        1.01923,
        1.01958,
        1.01364,
        1.00765,
        1.01041,
        1.00939,
        1.01036,
        1.00796,
        1.00678,
        1.01063,
        1.01161,
        1.01086,
        1.01118,
        1.00859,
        1.00861,
        1.00921,
        1.00758,
        1.00845,
        1.00985,
        1.01024,
        1.01034,
        1.01205,
        1.00639,
        1.00973,
        1.00891,
        1.00935,
        1.01115,
        1.00999,
        1.01034,
        1.01134,
        1.01323,
        1.02184,
        1.02066,
        1.01541,
        1.01875,
        1.03356,
        1.04364,
        1.04075,
        1.02256,
        1.01405,
        1.01275,
        1.01001,
        1.01118,
        1.01093,
        1.01124,
        1.01434,
        1.01576,
        1.01372,
        1.01443,
        1.01468,
        1.01998,
        1.01885,
        1.0171,
        1.0139,
        1.01199,
        1.01326,
        1.01744,
        1.01897,
        1.01662,
        1.01891,
        1.01889,
        1.01599,
        1.0143,
        1.01078,
        1.01074,
        1.01099,
        1.01108,
        1.01076,
        1.01027,
        1.00964,
        1.00936,
        1.00942,
        1.0141,
        1.01513,
        1.01434,
        1.01301,
        1.00947,
        1.01253,
        1.01012,
        1.00937,
        1.01013,
        1.01207,
        1.00964,
        1.00774,
        1.00959,
        1.00856,
        1.00998,
        1.01141,
        1.01059,
        1.00929,
        1.00978,
        1.0121,
        1.00992,
        1.00993,
        1.0119,
        1.00923,
        1.00849,
        1.01139,
        1.00909,
        1.01247,
        1.01026,
        1.01056,
        1.01237,
        1.01125,
        1.0116,
        1.01119,
        1.00839,
        1.00825,
        1.00977,
        1.00863,
        1.01137,
        1.00971,
        1.01091,
        1.01445,
        1.0111,
        1.0097,
        1.00975,
        1.00993,
        1.01055,
        1.01128,
        1.01227,
        1.0117,
        1.01142,
        1.01151,
        1.01021,
        1.01021,
        1.01065,
        1.00896,
        1.00911,
        1.01108,
        1.00718,
        1.01142,
        1.01223,
        1.009,
        1.01263,
        1.01049,
        1.01015,
        1.00957,
        1.00999,
        1.00955,
        1.00805,
        1.00592,
        1.00935,
        1.01046,
        1.01225,
        1.01272,
        1.01805,
        1.01537,
        1.00992,
        1.00997,
        1.00856,
        1.00849,
        1.00776,
        1.01016,
        1.00754,
        1.00801,
        1.00811,
        1.00808,
        1.00554,
        1.00686,
        1.00545,
        1.00889,
        1.00676,
        1.00587,
        1.00789,
        1.008,
        1.00684,
        1.00562,
        1.00808,
        1.0068,
        1.00668,
        1.00636,
        1.0071,
        1.00512,
        1.00648,
        1.00599,
        1.00604,
        1.00715,
        1.00707,
        1.00653,
        1.00597,
        1.00668,
        1.00915,
        1.00653,
        1.00642,
        1.00545,
        1.00648,
        1.00418,
        1.00433,
        1.00719,
        1.00675,
        1.00654,
        1.00625,
        1.00526,
        1.00631,
        1.00693,
        1.00638,
        1.00252,
        1.00388,
        1.0045,
        1.00351,
        1.00419,
        1.00561,
        1.00761,
        1.01106,
        1.00773,
        1.00512,
        1.00205,
        1.0021,
        1.00268,
        1.00175,
        1.00209,
        1.00228,
        1.00176,
        1.0036,
        1.00754,
        1.01214,
        1.01238,
        1.00532,
        1.00126,
        1.00006,
        0.999353,
        0.998246,
        0.997766,
        1.00039,
        0.998826,
        0.995574,
        0.996647,
        0.997756,
        0.995936,
        0.998806,
        0.998294,
        0.998061,
        0.999985,
        0.999071,
        0.999111,
        1.00021,
        1.00019,
        1.00153,
        1.00205,
        1.0036,
        1.00872,
        1.01355,
        1.02151,
        1.03094,
        1.03911,
        1.05364,
        1.05624,
        1.05048,
        1.04297,
        1.03007,
        1.02279,
        1.01376,
        1.00529,
        1.00071,
        1.00105,
        1.00564,
        1.01386,
        1.01948,
        1.02084,
        1.01155,
        1.00646,
        0.99919,
        0.990504,
        0.993136,
        0.990927,
        0.990188,
        0.993251,
        0.991302,
        0.991626,
        0.989335,
        0.986091,
        0.987815,
        0.987532,
        0.987479,
        0.988495,
        0.986433,
        0.984339,
        0.985008,
        0.985973,
        0.986859,
        0.982888,
        0.985889,
        0.98432,
        0.983146,
        0.984239,
        0.98459,
        0.984815,
        0.984628,
        0.982799,
        0.984332,
        0.982188,
        0.98157,
        0.981352,
        0.980035,
        0.98073,
        0.98055,
        0.980823,
        0.981939,
        0.979634,
        0.979728,
        0.979122,
        0.980245,
        0.985709,
        0.984099,
        0.981264,
        0.97933,
        0.976454,
        0.97741,
        0.976973,
        0.978698,
        0.977356,
        0.975705,
        0.974253,
        0.975488,
        0.974598,
        0.975684,
        0.974367,
        0.97551,
        0.976617,
        0.97937,
        0.97445,
        0.976065,
        0.974212,
        0.972801,
        0.973242,
        0.974584,
        0.97349,
        0.971579,
        0.971559,
        0.971333,
        0.972115,
        0.971747,
        0.971815,
        0.969305,
        0.970251,
        0.971204,
        0.971193,
        0.969391,
        0.97098,
        0.97271,
        0.970197,
        0.968256,
        0.96508,
        0.964663,
        0.966258,
        0.966554,
        0.967514,
        0.965484,
        0.965062,
        0.964052,
        0.964898,
        0.964949,
        0.96429,
        0.963506,
        0.963489,
        0.96476,
        0.964851,
        0.966164,
        0.969844,
        0.967254,
        0.966871,
        0.964908,
        0.960922,
        0.959709,
        0.959517,
        0.959005,
        0.956625,
        0.957198,
        0.958751,
        0.958329,
        0.956694,
        0.959428,
        0.956715,
        0.957188,
        0.956993,
        0.956114,
        0.958008,
        0.956438,
        0.957281,
        0.954234,
        0.95336,
        0.954551,
        0.954496,
        0.953761,
        0.954256,
        0.955549,
        0.955205,
        0.954251,
        0.954564,
        0.953857,
        0.950347,
        0.951823,
        0.952134,
        0.950584,
        0.948451,
        0.948729,
        0.949214,
        0.949744,
        0.946795,
        0.947141,
        0.948948,
        0.948054,
        0.945137,
        0.945111,
        0.944068,
        0.945628,
        0.943607,
        0.945428,
        0.943016,
        0.943914,
        0.943324,
        0.943901,
        0.944067,
        0.945028,
        0.944195,
        0.946421,
        0.947199,
        0.947877,
        0.947295,
        0.947171,
        0.948424,
        0.95289,
        0.955352,
        0.955016,
        0.9542,
        0.952708,
        0.949543,
        0.948508,
        0.946556,
        0.943786,
        0.945792,
        0.951397,
        0.96493,
        0.971721,
        0.964645,
        0.950398,
        0.941241,
        0.935105,
        0.934432,
        0.934797,
        0.935991,
        0.934161,
        0.932577,
        0.934284,
        0.935926,
        0.934131,
        0.932817,
        0.931172,
        0.930752,
        0.932531,
        0.931685,
        0.93085,
        0.928624,
        0.928288,
        0.927565,
        0.927461,
        0.927673,
        0.927059,
        0.92631,
        0.927515,
        0.925422,
        0.927312,
        0.924811,
        0.925344,
        0.925357,
        0.92615,
        0.927447,
        0.924782,
        0.925296,
        0.926763,
        0.926164,
        0.928011,
        0.924529,
        0.922692,
        0.920127,
        0.919458,
        0.920994,
        0.925141,
        0.928477,
        0.928239,
        0.925638,
        0.931769,
        0.938143,
        0.938244,
        0.931226,
        0.921532,
        0.918995,
        0.916241,
        0.916883,
        0.915121,
        0.914772,
        0.918519,
        0.924966,
        0.928075,
        0.930687,
        0.932506,
        0.927852,
        0.916752,
        0.913509,
        0.913073,
        0.909893,
        0.913156,
        0.91218,
        0.911566,
        0.912998,
        0.92225,
        0.944775,
        0.953432,
        0.943207,
        0.921119,
        0.913661,
        0.908411,
        0.90813,
        0.90849,
        0.906032,
        0.906658,
        0.906307,
        0.906546,
        0.905789,
        0.903559,
        0.90376,
        0.904139,
        0.903242,
        0.903532,
        0.900488,
        0.902775,
        0.902163,
        0.901036,
        0.900955,
        0.901987,
        0.901938,
        0.900135,
        0.902812,
        0.90099,
        0.900775,
        0.90067,
        0.899431,
        0.898074,
        0.8997,
        0.89736,
        0.897201,
        0.895271,
        0.897001,
        0.897618,
        0.896628,
        0.897964,
        0.897232,
        0.903155,
        0.905207,
        0.902564,
        0.895884,
        0.896713,
        0.892535,
        0.89471,
        0.895405,
        0.896688,
        0.906999,
        0.929272,
        0.927646,
        0.9121,
        0.902423,
        0.890689,
        0.887603,
        0.888598,
        0.892175,
        0.89099,
        0.890339,
        0.893553,
        0.904715,
        0.90371,
        0.89567,
        0.886068,
        0.886665,
        0.883439,
        0.885776,
        0.886925,
        0.883713,
        0.882161,
        0.880702,
        0.879672,
        0.881471,
        0.87888,
        0.881107,
        0.875472,
        0.880207,
        0.878215,
        0.875466,
        0.877783,
        0.876456,
        0.879209,
        0.874412,
        0.876917,
        0.876813,
        0.871913,
        0.877024,
        0.875628,
        0.882045,
        0.886046,
        0.876964,
        0.873694,
        0.871956,
        0.871939,
        0.870743,
        0.870033,
        0.870214,
        0.868446,
        0.868662,
        0.866929,
        0.867086,
        0.869591,
        0.868606,
        0.871725,
        0.868028,
        0.872186,
        0.866837,
        0.864314,
        0.867217,
        0.865907,
        0.866044,
        0.865531,
        0.86546,
        0.865646,
        0.86656,
        0.871053,
        0.862814,
        0.863683,
        0.865208,
        0.868684,
        0.868265,
        0.863489,
        0.868225,
        0.868306,
        0.864142,
        0.862351,
        0.861203,
        0.861203,
        0.857791,
        0.864509,
        0.86761,
        0.863222,
        0.871202,
        0.861393,
        0.858138,
        0.857071,
        0.856188,
        0.856439,
        0.852702,
        0.855933,
        0.854761,
        0.854325,
        0.853857,
        0.853611,
        0.851643,
        0.854696,
        0.865855,
        0.865862,
        0.853137,
        0.851831,
        0.849875,
        0.849775,
        0.850905,
        0.846997,
        0.849556,
        0.846669,
        0.847031,
        0.845661,
        0.843996,
        0.843334,
        0.843202,
        0.846425,
        0.845646,
        0.842775,
        0.843953,
        0.841089,
        0.843453,
        0.844266,
        0.841977,
        0.842977,
        0.838068,
        0.843791,
        0.840059,
        0.840989,
        0.840889,
        0.840292,
        0.83942,
        0.838752,
        0.836396,
        0.838405,
        0.838599,
        0.836889,
        0.836923,
        0.836169,
        0.838271,
        0.83662,
        0.840511,
        0.836483,
        0.83578,
        0.832611,
        0.831924,
        0.851847,
        0.865693,
        0.845917,
        0.834005,
        0.836251,
        0.836855,
        0.831129,
        0.830027,
        0.82846,
        0.831812,
        0.83349,
        0.829456,
        0.831813,
        0.834993,
        0.830409,
        0.828141,
        0.828924,
        0.82578,
        0.825966,
        0.827184,
        0.827406,
        0.828582,
        0.825325,
        0.82672,
        0.824596,
        0.82845,
        0.828426,
        0.831148,
        0.829413,
        0.828123,
        0.829443,
        0.826211,
        0.828874,
        0.824976,
        0.822872,
        0.823024,
        0.823904,
        0.822505,
        0.822801,
        0.820182,
        0.822855,
        0.820741,
        0.819948,
        0.823382,
        0.818416,
        0.821993,
        0.81937,
        0.82214,
        0.823233,
        0.818581,
        0.821584,
        0.819396,
        0.817034,
        0.818467,
        0.81549,
        0.820722,
        0.820106,
        0.818819,
        0.821611,
        0.815657,
        0.818092,
        0.817842,
        0.815846,
        0.818399,
        0.814186,
        0.816093,
        0.818586,
        0.830583,
        0.83208,
        0.818867,
        0.818851,
        0.819462,
        0.812126,
        0.820483,
        0.838645,
        0.835073,
        0.81729,
        0.813685,
        0.831448,
        0.837678,
        0.840526,
        0.819896,
        0.808889,
        0.813711,
        0.814246,
        0.809636,
        0.80974,
        0.811091,
        0.805243,
        0.8071,
        0.803799,
        0.804147,
        0.804921,
        0.801406,
        0.810354,
        0.808755,
        0.80865,
        0.807479,
        0.804071,
        0.802533,
        0.80086,
        0.800099,
        0.801637,
        0.800103,
        0.80476,
        0.80483,
        0.8005,
        0.802665,
        0.800964,
        0.803999,
        0.800037,
        0.798615,
        0.804177,
        0.806716,
        0.821986,
        0.832393,
        0.85656,
        0.888443,
        0.91362,
        0.888931,
        0.833723,
        0.823179,
        0.830919,
        0.838599,
        0.829044,
        0.823309,
        0.834654,
        0.853498,
        0.81388,
        0.799902,
        0.810033,
        0.820139,
        0.807339,
        0.7966,
        0.792716,
        0.795444,
        0.792697,
        0.795025,
        0.795094,
        0.795159,
        0.794463,
        0.794088,
        0.794575,
        0.796568,
        0.795594,
        0.797169,
        0.810481,
        0.805046,
        0.797228,
        0.813659,
        0.82185,
        0.802994,
        0.792604,
        0.789298,
        0.79138,
        0.78851,
        0.788922,
        0.790602,
        0.78963,
        0.792777,
        0.794274,
        0.792672,
        0.790178,
        0.786717,
        0.788881,
        0.788562,
        0.789286,
        0.793561,
        0.790684,
        0.786972,
        0.787592,
        0.78733,
        0.790092,
        0.795047,
        0.808707,
        0.820401,
        0.844445,
        0.819266,
        0.79857,
        0.790544,
        0.787843,
        0.787903,
        0.785884,
        0.790781,
        0.791067,
        0.789206,
        0.793629,
        0.788356,
        0.78884,
        0.790594,
        0.78937,
        0.78845,
        0.786091,
        0.787077,
        0.79159,
        0.789383,
        0.789678,
        0.78851,
        0.786965,
        0.790254,
        0.791268,
        0.794663,
        0.806698,
        0.807453,
        0.808531,
        0.817844,
        0.821826,
        0.819996,
        0.798014,
        0.790576,
        0.790005,
        0.787155,
        0.788929,
        0.786306,
        0.787132,
        0.787844,
        0.790066,
        0.789464,
        0.791262,
        0.790046,
        0.785657,
        0.792249,
        0.80055,
        0.799275,
        0.791809,
        0.784754,
        0.78491,
        0.791486,
        0.789629,
        0.790347,
        0.791895,
        0.80214,
        0.796521,
        0.787579,
        0.794774,
        0.791914,
        0.785975,
        0.782803,
        0.784472,
        0.782209,
        0.783652,
        0.788838,
        0.79001,
        0.786529,
        0.78175,
        0.781897,
        0.78592,
        0.781715,
        0.784002,
        0.7842,
        0.78142,
        0.78165,
        0.780834,
        0.781962,
        0.784308,
        0.783725,
        0.78246,
        0.78422,
        0.782831,
        0.788885,
        0.800615,
        0.795596,
        0.788611,
        0.783018,
        0.782766,
        0.783227,
        0.784517,
        0.786802,
        0.788091,
        0.784244,
        0.784517,
        0.795964,
        0.804631,
        0.79293,
        0.785087,
        0.782306,
        0.784942,
        0.785004,
        0.785538,
        0.789359,
        0.789029,
        0.787275,
        0.78088,
        0.782971,
        0.788164,
        0.788561,
        0.781907,
        0.777596,
        0.784083,
        0.785372,
        0.791301,
        0.845503,
        0.85872,
        0.867141,
        0.857134,
        0.794573,
        0.783122,
        0.782155,
        0.785805,
        0.788007,
        0.785305,
        0.785084,
        0.782517,
        0.78117,
        0.787193,
        0.789521,
        0.784435,
        0.785582,
        0.788015,
        0.784957,
        0.784482,
        0.780946,
        0.780947,
        0.78566,
        0.784089,
        0.784226,
        0.796723,
        0.793652,
        0.789975,
        0.786727,
        0.783754,
        0.783865,
        0.788766,
        0.786971,
        0.786466,
        0.789179,
        0.788921,
        0.785873,
        0.78399,
        0.784099,
        0.785157,
        0.782504,
        0.782721,
        0.785231,
        0.787763,
        0.786339,
        0.791239,
        0.796662,
        0.794814,
        0.788805,
        0.785756,
        0.782987,
        0.783266,
        0.783777,
        0.782512,
        0.783739,
        0.7826,
        0.784859,
        0.782779,
        0.785276,
        0.783686,
        0.786614,
        0.786793,
        0.794022,
        0.798795,
        0.788595,
        0.787513,
        0.793037,
        0.786288,
        0.788179,
        0.788272,
        0.786267,
        0.795193,
        0.797923,
        0.787817,
        0.787931,
        0.785246,
        0.787146,
        0.787401,
        0.789811,
        0.78794,
        0.789542,
        0.790644,
        0.788073,
        0.790025,
        0.789485,
        0.796986,
        0.800572,
        0.789522,
        0.790805,
        0.796969,
        0.843183,
        0.869109,
        0.813421,
        0.798202,
        0.822013,
        0.807922,
        0.793888,
        0.791347,
        0.789555,
        0.789946,
        0.789923,
        0.797554,
        0.796099,
        0.791838,
        0.789974,
        0.802207,
        0.807284,
        0.797301,
        0.797427,
        0.802519,
        0.809003,
        0.798894,
        0.798412,
        0.811389,
        0.803566,
        0.796012,
        0.793312,
        0.792252,
        0.793623,
        0.793366,
        0.79215,
        0.792129,
        0.79521,
        0.794728,
        0.79881,
        0.804416,
        0.808402,
        0.802607,
        0.798626,
        0.806325,
        0.834754,
        0.828753,
        0.79917,
        0.796652,
        0.797849,
        0.794242,
        0.796768,
        0.798672,
        0.795907,
        0.806469,
        0.809683,
        0.798111,
        0.799828,
        0.798999,
        0.798505,
        0.798753,
        0.805288,
        0.803382,
        0.805035,
        0.812155,
        0.808923,
        0.805527,
        0.807174,
        0.803351,
        0.80449,
        0.80468,
        0.805561,
        0.804255,
        0.804738,
        0.806522,
        0.80339,
        0.801315,
        0.802647,
        0.79864,
        0.798248,
        0.802243,
        0.806963,
        0.814298,
        0.834792,
        0.83139,
        0.812617,
        0.809955,
        0.805663,
        0.803481,
        0.806315,
        0.810457,
        0.812298,
        0.814274,
        0.814618,
        0.807274,
        0.808489,
        0.810256,
        0.803468,
        0.808704,
        0.803932,
        0.803159,
        0.805634,
        0.81046,
        0.812397,
        0.811209,
        0.810885,
        0.813359,
        0.815168,
        0.813899,
        0.858544,
        0.880689,
        0.826384,
        0.805633,
        0.805232,
        0.808041,
        0.807786,
        0.812599,
        0.834027,
        0.827079,
        0.809979,
        0.811088,
        0.817214,
        0.813337,
        0.819153,
        0.829501,
        0.824827,
        0.813397,
        0.814862,
        0.81051,
        0.808187,
        0.808143,
        0.806545,
        0.807333,
        0.809115,
        0.809766,
        0.809141,
        0.808555,
        0.812031,
        0.810478,
        0.810942,
        0.819312,
        0.813731,
        0.811178,
        0.813802,
        0.813201,
        0.818431,
        0.814906,
        0.810287,
        0.810787,
        0.814344,
        0.814825,
        0.814001,
        0.810932,
        0.811764,
        0.810458,
        0.810999,
        0.816191,
        0.814237,
        0.81733,
        0.829966,
        0.820813,
        0.824705,
        0.849694,
        0.882681,
        0.847232,
        0.822307,
        0.830306,
        0.848919,
        0.833438,
        0.822923,
        0.82041,
        0.823707,
        0.835284,
        0.83951,
        0.844748,
        0.82348,
        0.821032,
        0.824781,
        0.822976,
        0.821434,
        0.839324,
        0.831059,
        0.836711,
        0.876563,
        0.871108,
        0.843976,
        0.828642,
        0.829925,
        0.828641,
        0.829846,
        0.830752,
        0.829583,
        0.828926,
        0.836815,
        0.850493,
        0.847668,
        0.833603,
        0.828266,
        0.824175,
        0.828338,
        0.825385,
        0.827311,
        0.830368,
        0.835551,
        0.839977,
        0.836916,
        0.8333,
        0.840644,
        0.840952,
        0.851501,
        0.840891,
        0.840996,
        0.853501,
        0.869876,
        0.869471,
        0.857289,
        0.849755,
        0.849836,
        0.839129,
        0.835407,
        0.833944,
        0.835942,
        0.836212,
        0.836579,
        0.836227,
        0.839075,
        0.841355,
        0.84386,
        0.841655,
        0.840965,
        0.842912,
        0.847674,
        0.845126,
        0.847664,
        0.859038,
        0.887251,
        0.879992,
        0.854552,
        0.846269,
        0.846136,
        0.845335,
        0.849154,
        0.846787,
        0.852915,
        0.852588,
        0.853251,
        0.851658,
        0.850611,
        0.853165,
        0.855607,
        0.852385,
        0.856531,
        0.857268,
        0.863747,
        0.862936,
        0.861933,
        0.858718,
        0.860224,
        0.859372,
        0.861231,
        0.861679,
        0.86431,
        0.863393,
        0.870138,
        0.869749,
        0.868657,
        0.864851,
        0.874547,
        0.897608,
        0.897851,
        0.872654,
        0.87452,
        0.872809,
        0.87836,
        0.880121,
        0.88189,
        0.884556,
        0.895693,
        0.889518,
        0.881731,
        0.868974,
        0.863054,
        0.859869,
        0.86252,
        0.864421,
        0.877973,
        0.869349,
        0.861007,
        0.855312,
        0.856842,
        0.854455,
        0.856449,
        0.854522,
        0.854861,
        0.855507,
        0.856622,
        0.861322,
        0.871478,
        0.875974,
        0.878043,
        0.872125,
        0.868312,
        0.87313,
        0.872626,
        0.865475,
        0.860551,
        0.864659,
        0.862342,
        0.860075,
        0.863671,
        0.863417,
        0.862103,
        0.861089,
        0.862072,
        0.861994,
        0.86346,
        0.865323,
        0.865394,
        0.86657,
        0.868446,
        0.869298,
        0.869622,
        0.870011,
        0.874293,
        0.886562,
        0.88113,
        0.875939,
        0.868243,
        0.869995,
        0.872579,
        0.872753,
        0.86978,
        0.871382,
        0.874199,
        0.882424,
        0.886777,
        0.887502,
        0.886999,
        0.891246,
        0.883148,
        0.877118,
        0.876656,
        0.878178,
        0.880275,
        0.880702,
        0.881792,
        0.879854,
        0.880211,
        0.885948,
        0.886955,
        0.884961,
        0.88276,
        0.879469,
        0.879673,
        0.876681,
        0.878846,
        0.878674,
        0.879869,
        0.893491,
        0.916263,
        0.895229,
        0.883302,
        0.883733,
        0.884119,
        0.887635,
        0.891879,
        0.890996,
        0.89131,
        0.896218,
        0.898883,
        0.891885,
        0.89232,
        0.887757,
        0.889571,
        0.897367,
        0.907534,
        0.904177,
        0.898425,
        0.892842,
        0.891552,
        0.893023,
        0.888973,
        0.890004,
        0.891134,
        0.894203,
        0.89197,
        0.895703,
        0.902961,
        0.915043,
        0.923082,
        0.920123,
        0.912803,
        0.901152,
        0.892524,
        0.889439,
        0.894115,
        0.912602,
        0.925876,
        0.909413,
        0.903173,
        0.899273,
        0.899756,
        0.90701,
        0.911899,
        0.904654,
        0.901073,
        0.901649,
        0.903751,
        0.901621,
        0.905425,
        0.914278,
        0.91229,
        0.895214,
        0.889854,
        0.884254,
        0.88804,
        0.893779,
        0.900493,
        0.901825,
        0.899237,
        0.903545,
        0.911158,
        0.904119,
        0.894246,
        0.900079,
        0.908671,
        0.91168,
        0.897924,
        0.899965,
        0.897058,
        0.895018,
        0.893458,
        0.893549,
        0.888675,
        0.891913,
        0.88936,
        0.894431,
        0.892054,
        0.894567,
        0.899896,
        0.916654,
        0.909679,
        0.903012,
        0.90067,
        0.899957,
        0.900844,
        0.900206,
        0.901867,
        0.90035,
        0.899521,
        0.896389,
        0.898586,
        0.894652,
        0.898941,
        0.898157,
        0.89691,
        0.898766,
        0.906504,
        0.906821,
        0.910109,
        0.925086,
        0.930152,
        0.919281,
        0.93627,
        0.952494,
        0.939735,
        0.92879,
        0.921412,
        0.921034,
        0.916648,
        0.908012,
        0.9106,
        0.924476,
        0.917672,
        0.909578,
        0.915201,
        0.961344,
        1.01857,
        0.979893,
        0.923331,
        0.911593,
        0.913548,
        0.910054,
        0.906581,
        0.906438,
        0.908301,
        0.908021,
        0.924124,
        0.937517,
        0.928268,
        0.912106,
        0.909862,
        0.915426,
        0.927913,
        0.918221,
        0.912664,
        0.909888,
        0.908504,
        0.9101,
        0.911061,
        0.912026,
        0.911943,
        0.91178,
        0.908235,
        0.911918,
        0.913558,
        0.915982,
        0.910581,
        0.917386,
        0.910333,
        0.914308,
        0.918186,
        0.92923,
        0.928156,
        0.924685,
        0.919805,
        0.917735,
        0.921116,
        0.922176,
        0.922949,
        0.925955,
        0.924336,
        0.916375,
        0.930869,
        0.95574,
        0.951974,
        0.935827,
        0.941383,
        0.937339,
        0.929235,
        0.9343,
        0.957113,
        0.958695,
        0.932741,
        0.922099,
        0.9242,
        0.924516,
        0.921097,
        0.926162,
        0.928745,
        0.919474,
        0.920595,
        0.924005,
        0.922846,
        0.922481,
        0.927583,
        0.929811,
        0.930208,
        0.924254,
        0.921454,
        0.924076,
        0.938205,
        0.949749,
        0.959086,
        0.942951,
        0.947964,
        0.952524,
        0.943435,
        0.933387,
        0.933492,
        0.937725,
        0.929935,
        0.935212,
        0.962661,
        1.00594,
        0.976498,
        0.94082,
        0.927512,
        0.929676,
        0.931715,
        0.932414,
        0.932234,
        0.931265,
        0.934121,
        0.933487,
        0.938234,
        0.932312,
        0.93351,
        0.93725,
        0.951938,
        0.965573,
        0.956653,
        0.94167,
        0.935885,
        0.937715,
        0.937936,
        0.937339,
        0.946814,
        0.970412,
        0.969631,
        0.955812,
        0.946593,
        0.946782,
        0.943325,
        0.940207,
        0.936662,
        0.942945,
        0.96625,
        1.0092,
        0.999576,
        0.958991,
        0.945129,
        0.942713,
        0.954003,
        0.977614,
        0.969297,
        0.948396,
        0.951968,
        0.962726,
        0.958295,
        0.947511,
        0.947158,
        0.94727,
        0.946523,
        0.946629,
        0.94969,
        0.944656,
        0.945569,
        0.945905,
        0.949074,
        0.943865,
        0.944628,
        0.949853,
        0.948581,
        0.947005,
        0.946721,
        0.952938,
        0.975496,
        0.980701,
        0.964692,
        0.956814,
        0.956978,
        0.953892,
        0.951491,
        0.965134,
        0.962657,
        0.95571,
        0.955782,
        0.956854,
        0.953078,
        0.954324,
        0.967634,
        0.981799,
        0.962283,
        0.953464,
        0.953106,
        0.956964,
        0.962107,
        0.959764,
        0.968433,
        0.976811,
        0.977467,
        1.00566,
        1.01937,
        0.984348,
        0.970661,
        0.970166,
        0.973634,
        0.981867,
        0.988096,
        0.973003,
        0.965179,
        0.965308,
        0.965674,
        0.961405,
        0.963253,
        0.967359,
        0.976457,
        1.00493,
        1.00283,
        0.979224,
        0.965361,
        0.966724,
        0.966229,
        0.961562,
        0.969208,
        0.972672,
        0.971028,
        0.973577,
        0.975384,
        0.972405,
        0.973421,
        0.975793,
        0.975451,
        0.972808,
        0.977946,
        0.981759,
        0.971885,
        0.97305,
        0.970544,
        0.968815,
        0.972627,
        0.976144,
        0.971976,
        0.97017,
        0.977076,
        0.976508,
        0.974802,
        0.976165,
        0.976452,
        0.973261,
        0.976335,
        0.97895,
        0.972042,
        0.980302,
        0.989013,
        0.984783,
        0.979724,
        0.986691,
        1.00055,
        1.00529,
        1.00085,
        0.983127,
        0.998054,
        1.00136,
        0.991272,
        0.991656,
        0.986154,
        0.980407,
        0.982195,
        0.983903,
        0.988324,
        0.994097,
        1.01327,
        1.01658,
        0.992301,
        0.989071,
        0.993202,
        0.988341,
        0.984855,
        0.988346,
        0.993549,
        0.988077,
        0.99304,
        0.993202,
        0.990556,
        0.991319,
        0.996383,
        0.998016,
        1.01335,
        1.03057,
        1.00646,
        0.993549,
        0.99195,
        0.99436,
        0.996918,
        1.02743,
        1.05055,
        1.0163,
        1.00572,
        1.03064,
        1.08502,
        1.06598,
        1.01607,
        1.00047,
        0.993041,
        1.00233,
        1.00192,
        1.0026,
        1.00441,
        1.01353,
        1.03106,
        1.07797,
        1.07568,
        1.0241,
        1.00772,
        1.00817,
        1.00806,
        1.00368,
        1.00915,
        1.01237,
        1.00521,
        1.01368,
        1.02276,
        1.02013,
        1.0219,
        1.02439,
        1.03084,
        1.02469,
        1.03536,
        1.03631,
        1.0251,
        1.03184,
        1.04582,
        1.06377,
        1.0544,
        1.04418,
        1.02557,
        1.01266,
        1.02072,
        1.03842,
        1.05394,
        1.03098,
        1.02357,
        1.01762,
        1.02067,
        1.02743,
        1.01545,
        1.0142,
        1.02132,
        1.02203,
        1.01532,
        1.02351,
        1.02575,
        1.02023,
        1.01922,
        1.02449,
        1.02299,
        1.02231,
        1.034,
        1.03073,
        1.03238,
        1.04161,
        1.045,
        1.03733,
        1.06178,
        1.07191,
        1.03923,
        1.02888,
        1.03082,
        1.0309,
        1.02608,
        1.0305,
        1.03388,
        1.03069,
        1.03011,
        1.03958,
        1.03812,
        1.03607,
        1.04083,
        1.04219,
        1.04328,
        1.04179,
        1.04144,
        1.03594,
        1.03663,
        1.04116,
        1.03839,
        1.03981,
        1.04012,
        1.04219,
        1.03462,
        1.04363,
        1.05096,
        1.04555,
        1.04574,
        1.04652,
        1.0455,
        1.04002,
        1.05157,
        1.06036,
        1.0476,
        1.04817,
        1.05277,
        1.04842,
        1.04485,
        1.05137,
        1.05387,
        1.05355,
        1.0696,
        1.07168,
        1.06718,
        1.06391,
        1.104,
        1.14315,
        1.13622,
        1.12918,
        1.09223,
        1.05776,
        1.05442,
        1.05974,
        1.05819,
        1.05872,
        1.06551,
        1.06051,
        1.05384,
        1.05892,
        1.06496,
        1.05862,
        1.05792,
        1.06654,
        1.06317,
        1.05993,
        1.06668,
        1.06857,
        1.06609,
        1.07184,
        1.07248,
        1.06617,
        1.0639,
        1.06924,
        1.07099,
        1.06599,
        1.0766,
        1.08317,
        1.07965,
        1.07716,
        1.08063,
        1.07454,
        1.07757,
        1.1061,
        1.10052,
        1.07954,
        1.07437,
        1.08229,
        1.07335,
        1.07104,
        1.08241,
        1.08686,
        1.09819,
        1.11107,
        1.12489,
        1.11229,
        1.08531,
        1.08998,
        1.08673,
        1.08129,
        1.0884,
        1.10438,
        1.11688,
        1.10406,
        1.0987,
        1.09084,
        1.08924,
        1.12994,
        1.15569,
        1.11852,
        1.09487,
        1.10054,
        1.09654,
        1.09057,
        1.11205,
        1.14698,
        1.13038,
        1.10091,
        1.10108,
        1.09449,
        1.09327,
        1.09923,
        1.10072,
        1.09346,
        1.09707,
        1.10495,
        1.10309,
        1.10467,
        1.1112,
        1.10974,
        1.10075,
        1.1056,
        1.11661,
        1.10563,
        1.10093,
        1.10666,
        1.11207,
        1.10041,
        1.10827,
        1.11852,
        1.11282,
        1.11438,
        1.13748,
        1.17257,
        1.15158,
        1.12366,
        1.12265,
        1.11595,
        1.11516,
        1.12716,
        1.12477,
        1.11405,
        1.11441,
        1.12579,
        1.11996,
        1.11865,
        1.12474,
        1.13799,
        1.15971,
        1.15573,
        1.14018,
        1.12609,
        1.11932,
        1.12723,
        1.12982,
        1.12111,
        1.13001,
        1.14761,
        1.14717,
        1.13099,
        1.1373,
        1.1344,
        1.12982,
        1.13229,
        1.13614,
        1.13536,
        1.12471,
        1.1346,
        1.13695,
        1.1316,
        1.13255,
        1.14018,
        1.14112,
        1.13729,
        1.16012,
        1.17219,
        1.16305,
        1.14809,
        1.14449,
        1.14458,
        1.133,
        1.14218,
        1.1449,
        1.14416,
        1.1362,
        1.15504,
        1.16711,
        1.17225,
        1.20657,
        1.23119,
        1.22754,
        1.18313,
        1.17067,
        1.17121,
        1.15917,
        1.20281,
        1.20105,
        1.20079,
        1.18451,
        1.16839,
        1.16265,
        1.15905,
        1.16073,
        1.15976,
        1.16202,
        1.16417,
        1.16627,
        1.16709,
        1.16649,
        1.16713,
        1.16551,
        1.16788,
        1.16978,
        1.1685,
        1.17469,
        1.18952,
        1.24178,
        1.24899,
        1.21658,
        1.18621,
        1.17504,
        1.17726,
        1.17454,
        1.18301,
        1.18177,
        1.19075,
        1.18617,
        1.18028,
        1.18093,
        1.18128,
        1.1823,
        1.18052,
        1.18398,
        1.18748,
        1.19067,
        1.19451,
        1.19,
        1.18968,
        1.18603,
        1.19073,
        1.19028,
        1.19241,
        1.19224,
        1.19027,
        1.19379,
        1.19686,
        1.19867,
        1.19394,
        1.19679,
        1.19565,
        1.19685,
        1.19993,
        1.19535,
        1.20004,
        1.20821,
        1.23547,
        1.25416,
        1.2478,
        1.22543,
        1.21,
        1.22875,
        1.26684,
        1.27457,
        1.24413,
        1.22798,
        1.22101,
        1.21378,
        1.21668,
        1.22824,
        1.25983,
        1.26226,
        1.24146,
        1.224,
        1.21557,
        1.2174,
        1.2192,
        1.22624,
        1.22822,
        1.22959,
        1.2274,
        1.22442,
        1.22571,
        1.22489,
        1.23706,
        1.25352,
        1.26257,
        1.25192,
        1.26274,
        1.27273,
        1.25607,
        1.24348,
        1.2356,
        1.23641,
        1.23514,
        1.23774,
        1.23623,
        1.23682,
        1.23908,
        1.24017,
        1.24922,
        1.25735,
        1.25666,
        1.24889,
        1.24425,
        1.24319,
        1.24338,
        1.24794,
        1.24923,
        1.24987,
        1.24504,
        1.25128,
        1.25007,
        1.25309,
        1.25715,
        1.25583,
        1.25503,
        1.24906,
        1.25617,
        1.25353,
        1.25727,
        1.25899,
        1.26341,
        1.26253,
        1.25839,
        1.26215,
        1.26262,
        1.26936,
        1.2659,
        1.26307,
        1.26357,
        1.26426,
        1.26684,
        1.26458,
        1.27055,
        1.26708,
        1.27273,
        1.27449,
        1.27477,
        1.27737,
        1.27391,
        1.27997,
        1.27709,
        1.27842,
        1.2785,
        1.28113,
        1.28038,
        1.28201,
        1.28258,
        1.28185,
        1.28447,
        1.286,
        1.29951,
        1.32029,
        1.33074,
        1.30954,
        1.29641,
        1.29303,
        1.29434,
        1.30557,
        1.30642,
        1.30361,
        1.30144,
        1.32668,
        1.36038,
        1.35527,
        1.32985,
        1.31715,
        1.33709,
        1.36305,
        1.35829,
        1.36187,
        1.35672,
        1.33873,
        1.33331,
        1.35919,
        1.36508,
        1.33647,
        1.31395,
        1.31401,
        1.30891,
        1.31277,
        1.31272,
        1.31788,
        1.33121,
        1.34766,
        1.35621,
        1.35271,
        1.34531,
        1.32668,
        1.32515,
        1.32133,
        1.31909,
        1.31857,
        1.32145,
        1.32282,
        1.32344,
        1.32626,
        1.32858,
        1.32767,
        1.32719,
        1.32929,
        1.33071,
        1.33041,
        1.32915,
        1.33064,
        1.33556,
        1.33376,
        1.34248,
        1.34282,
        1.35968,
        1.41054,
        1.46399,
        1.46047,
        1.40146,
        1.37022,
        1.3642,
        1.35267,
        1.34267,
        1.34239,
        1.34315,
        1.34776,
        1.35294,
        1.35513,
        1.35563,
        1.34987,
        1.34878,
        1.34624,
        1.34955,
        1.35787,
        1.35707,
        1.36025,
        1.35705,
        1.35377,
        1.3535,
        1.35529,
        1.35595,
        1.35962,
        1.35843,
        1.36387,
        1.36387,
        1.36524,
        1.36501,
        1.36645,
        1.37024,
        1.37373,
        1.37458,
        1.3802,
        1.3862,
        1.3919,
        1.39979,
        1.40543,
        1.40677,
        1.39555,
        1.39618,
        1.42128,
        1.43652,
        1.41529,
        1.39157,
        1.39243,
        1.39401,
        1.39408,
        1.39142,
        1.3874,
        1.38286,
        1.38095,
        1.38418,
        1.38185,
        1.38499,
        1.39107,
        1.39746,
        1.38938,
        1.38682,
        1.38896,
        1.40695,
        1.44211,
        1.45409,
        1.42818,
        1.39751,
        1.39258,
        1.38984,
        1.39441,
        1.38982,
        1.3922,
        1.38932,
        1.39258,
        1.39656,
        1.39241,
        1.3983,
        1.39479,
        1.40068,
        1.39643,
        1.39865,
        1.39993,
        1.40446,
        1.42953,
        1.46339,
        1.46594,
        1.4245,
        1.40863,
        1.40502,
        1.4081,
        1.40443,
        1.4072,
        1.40549,
        1.40625,
        1.40903,
        1.4052,
        1.4076,
        1.40808,
        1.41017,
        1.41021,
        1.41213,
        1.41579,
        1.41784,
        1.41545,
        1.41712,
        1.41656,
        1.41592,
        1.41683,
        1.4183,
        1.42214,
        1.41988,
        1.42668,
        1.42752,
        1.42353,
        1.43565,
        1.47253,
        1.49257,
        1.47456,
        1.44918,
        1.43512,
        1.43905,
        1.43427,
        1.43181,
        1.43063,
        1.43379,
        1.42837,
        1.43204,
        1.43016,
        1.43416,
        1.434,
        1.43474,
        1.44539,
        1.4576,
        1.45878,
        1.43938,
        1.43901,
        1.43248,
        1.43697,
        1.43429,
        1.43747,
        1.43546,
        1.43603,
        1.43858,
        1.44868,
        1.47511,
        1.4868,
        1.48133,
        1.48791,
        1.51243,
        1.48025,
        1.45814,
        1.44508,
        1.44579,
        1.44583,
        1.44397,
        1.45016,
        1.47189,
        1.50128,
        1.49146,
        1.47169,
        1.44814,
        1.45128,
        1.45014,
        1.45481,
        1.45283,
        1.45177,
        1.45036,
        1.45154,
        1.45788,
        1.45214,
        1.45563,
        1.46166,
        1.48236,
        1.48311,
        1.4731,
        1.46421,
        1.46073,
        1.46116,
        1.46328,
        1.46428,
        1.46272,
        1.46054,
        1.46168,
        1.46489,
        1.46694,
        1.46367,
        1.46319,
        1.46955,
        1.46846,
        1.47194,
        1.48195,
        1.49845,
        1.50569,
        1.48826,
        1.4757,
        1.47403,
        1.48121,
        1.50174,
        1.53903,
        1.53537,
        1.49829,
        1.48104,
        1.48769,
        1.49105,
        1.48686,
        1.48178,
        1.47773,
        1.48044,
        1.48305,
        1.4765,
        1.47843,
        1.48545,
        1.48784,
        1.50471,
        1.52324,
        1.54326,
        1.55964,
        1.56838,
        1.52708,
        1.51914,
        1.55928,
        1.57586,
        1.53208,
        1.49669,
        1.49209,
        1.48988,
        1.48836,
        1.49296,
        1.50278,
        1.49657,
        1.49181,
        1.49303,
        1.4963,
        1.49463,
        1.49636,
        1.49313,
        1.49768,
        1.49538,
        1.4984,
        1.50469,
        1.50633,
        1.50433,
        1.49796,
        1.51037,
        1.54153,
        1.58616,
        1.57544,
        1.53262,
        1.5101,
        1.5084,
        1.50251,
        1.50721,
        1.50739,
        1.50615,
        1.50724,
        1.50531,
        1.5087,
        1.50871,
        1.51363,
        1.50879,
        1.51377,
        1.5143,
        1.51428,
        1.50948,
        1.51687,
        1.51475,
        1.51016,
        1.51397,
        1.5161,
        1.5153,
        1.51712,
        1.51666,
        1.51552,
        1.51847,
        1.52032,
        1.51718,
        1.52559,
        1.541,
        1.56556,
        1.56357,
        1.54277,
        1.52938,
        1.5263,
        1.52341,
        1.52072,
        1.53089,
        1.53053,
        1.52681,
        1.53297,
        1.54176,
        1.57217,
        1.61132,
        1.61547,
        1.58762,
        1.55882,
        1.54268,
        1.53236,
        1.532,
        1.53686,
        1.53863,
        1.53292,
        1.54525,
        1.56899,
        1.58619,
        1.58809,
        1.57317,
        1.56565,
        1.56288,
        1.56624,
        1.56508,
        1.57586,
        1.60447,
        1.5907,
        1.56056,
        1.56648,
        1.58476,
        1.57673,
        1.55854,
        1.55459,
        1.55053,
        1.55202,
        1.54846,
        1.5524,
        1.55403,
        1.54995,
        1.55218,
        1.55975,
        1.56914,
        1.56635,
        1.56339,
        1.56076,
        1.5629,
        1.55806,
        1.55994,
        1.55993,
        1.56008,
        1.56167,
        1.5583,
        1.5593,
        1.56579,
        1.56468,
        1.55877,
        1.56489,
        1.5691,
        1.56471,
        1.56346,
        1.56709,
        1.58298,
        1.62578,
        1.64919,
        1.62431,
        1.58487,
        1.57428,
        1.5717,
        1.57177,
        1.57322,
        1.58815,
        1.58636,
        1.57867,
        1.57846,
        1.57873,
        1.57853,
        1.57461,
        1.57398,
        1.57801,
        1.58268,
        1.57791,
        1.58062,
        1.59322,
        1.59587,
        1.58716,
        1.58651,
        1.58503,
        1.59376,
        1.59151,
        1.58707,
        1.58891,
        1.59163,
        1.58745,
        1.58829,
        1.58801,
        1.59055,
        1.59388,
        1.59315,
        1.58936,
        1.59508,
        1.59692,
        1.59011,
        1.593,
        1.60665,
        1.62406,
        1.62631,
        1.60042,
        1.59554,
        1.60821,
        1.64796,
        1.69868,
        1.69664,
        1.6367,
        1.60531,
        1.61024,
        1.63955,
        1.68082,
        1.67155,
        1.6232,
        1.60878,
        1.6148,
        1.61011,
        1.60863,
        1.60477,
        1.6178,
        1.63997,
        1.64773,
        1.62631,
        1.62208,
        1.61233,
        1.61841,
        1.61096,
        1.61205,
        1.61297,
        1.62095,
        1.619,
        1.6208,
        1.62084,
        1.62534,
        1.6228,
        1.62046,
        1.62039,
        1.62169,
        1.62709,
        1.62629,
        1.6244,
        1.63116,
        1.64093,
        1.63095,
        1.6255,
        1.62587,
        1.63888,
        1.64365,
        1.64835,
        1.64004,
        1.64852,
        1.66922,
        1.68854,
        1.68825,
        1.71013,
        1.74049,
        1.73338,
        1.69591,
        1.69084,
        1.67296,
        1.65735,
        1.63503,
        1.63923,
        1.63991,
        1.64361,
        1.63822,
        1.64125,
        1.64843,
        1.6473,
        1.6407,
        1.64373,
        1.6494,
        1.64935,
        1.64676,
        1.64599,
        1.64566,
        1.65321,
        1.65532,
        1.64906,
        1.64601,
        1.64913,
        1.65561,
        1.6549,
        1.64697,
        1.65244,
        1.6592,
        1.66256,
        1.66362,
        1.67027,
        1.6716,
        1.66711,
        1.65855,
        1.67234,
        1.71862,
        1.7346,
        1.70091,
        1.67222,
        1.66601,
        1.66815,
        1.66438,
        1.66795,
        1.66959,
        1.66633,
        1.66834,
        1.66873,
        1.67675,
        1.70506,
        1.75479,
        1.73672,
        1.69486,
        1.6728,
        1.68052,
        1.6956,
        1.73727,
        1.75596,
        1.72128,
        1.6913,
        1.67901,
        1.68245,
        1.69449,
        1.69034,
        1.68622,
        1.67816,
        1.68217,
        1.69282,
        1.73175,
        1.77199,
        1.75497,
        1.71175,
        1.69089,
        1.68758,
        1.68539,
        1.68296,
        1.6869,
        1.69217,
        1.69141,
        1.68844,
        1.69321,
        1.69404,
        1.69305,
        1.69129,
        1.69349,
        1.70285,
        1.70416,
        1.70374,
        1.72347,
        1.7385,
        1.71864,
        1.69918,
        1.69057,
        1.70167,
        1.70289,
        1.70369,
        1.69822,
        1.70058,
        1.70508,
        1.70529,
        1.70386,
        1.70232,
        1.70969,
        1.71122,
        1.7059,
        1.70785,
        1.71385,
        1.72953,
        1.76894,
        1.79863,
        1.76908,
        1.72715,
        1.71545,
        1.71229,
        1.71271,
        1.71439,
        1.71488,
        1.71695,
        1.71677,
        1.71744,
        1.72243,
        1.72826,
        1.72408,
        1.72019,
        1.72366,
        1.72396,
        1.72102,
        1.71608,
        1.71846,
        1.72296,
        1.72604,
        1.72409,
        1.72881,
        1.74395,
        1.75887,
        1.74506,
        1.72966,
        1.72821,
        1.73253,
        1.7333,
        1.72942,
        1.72764,
        1.72988,
        1.73444,
        1.73957,
        1.74546,
        1.74653,
        1.74195,
        1.74016,
        1.73723,
        1.73408,
        1.74408,
        1.75099,
        1.75512,
        1.75401,
        1.74561,
        1.74408,
        1.74479,
        1.74795,
        1.75833,
        1.75665,
        1.75605,
        1.74949,
        1.74818,
        1.74725,
        1.74967,
        1.75312,
        1.74845,
        1.74381,
        1.74921,
        1.75127,
        1.75501,
        1.74733,
        1.74538,
        1.75209,
        1.7535,
        1.75415,
        1.75248,
        1.76607,
        1.78031,
        1.77296,
        1.75979,
        1.75243,
        1.75758,
        1.7615,
        1.76664,
        1.76918,
        1.77392,
        1.77075,
        1.77059,
        1.76617,
        1.76476,
        1.77207,
        1.81525,
        1.85525,
        1.83883,
        1.79348,
        1.76707,
        1.77203,
        1.78084,
        1.79984,
        1.82493,
        1.80905,
        1.78324,
        1.77587,
        1.77441,
        1.76744,
        1.77457,
        1.7716,
        1.77484,
        1.77122,
        1.77708,
        1.77992,
        1.79071,
        1.81359,
        1.83913,
        1.82297,
        1.80863,
        1.81936,
        1.83029,
        1.80707,
        1.79662,
        1.78454,
        1.77918,
        1.77781,
        1.78324,
        1.80093,
        1.80358,
        1.8043,
        1.81648,
        1.84572,
        1.83853,
        1.80843,
        1.79267,
        1.79048,
        1.79093,
        1.78833,
        1.78772,
        1.79126,
        1.79532,
        1.81788,
        1.86254,
        1.87725,
        1.83691,
        1.81297,
        1.802,
        1.79797,
        1.79218,
        1.79832,
        1.80298,
        1.79833,
        1.79478,
        1.79551,
        1.80041,
        1.80555,
        1.80137,
        1.7996,
        1.80371,
        1.81039,
        1.80664,
        1.80332,
        1.80296,
        1.80186,
        1.80734,
        1.81074,
        1.806,
        1.80678,
        1.80931,
        1.80928,
        1.80906,
        1.81099,
        1.81067,
        1.81559,
        1.8167,
        1.8267,
        1.84573,
        1.86513,
        1.85613,
        1.85103,
        1.85934,
        1.90522,
        1.95367,
        1.92905,
        1.86396,
        1.84354,
        1.85223,
        1.87125,
        1.8572,
        1.83708,
        1.83041,
        1.82859,
        1.82703,
        1.8283,
        1.82626,
        1.82815,
        1.82957,
        1.83132,
        1.82653,
        1.82834,
        1.83955,
        1.83307,
        1.82885,
        1.83648,
        1.82651,
        1.83729,
        1.82994,
        1.849,
        1.88337,
        1.88357,
        1.84584,
        1.85079,
        1.83958,
        1.85174,
        1.84595,
        1.8572,
        1.86204,
        1.86364,
        1.85546,
        1.85841,
        1.84921,
        1.86282,
        1.85795,
        1.86424,
        1.85959,
        1.86537,
        1.85915,
        1.87229,
        1.86083,
        1.89419,
        1.93579,
        1.90016,
        1.90955,
        1.95814,
        1.91184,
        1.88246,
        1.8772,
        1.8872,
        1.87671,
        1.88208,
        1.88732,
        1.89261,
        1.87779,
        1.89376,
        1.89009,
        1.91285,
        1.92178,
        1.90501,
        1.89211,
        1.905,
        1.89713,
        1.90169,
        1.89002,
        1.9094,
        1.91578,
        1.91704,
        1.91118,
        1.91277,
        1.90204,
        1.91741,
        1.92064,
        1.91915,
        1.91523,
        1.91861,
        1.91806,
        1.94737,
        1.97833,
        1.93679,
        1.92718,
        1.91808,
        1.92855,
        1.9239,
        1.93397,
        1.92226,
        1.93904,
        1.93886,
        1.94485,
        1.92952,
        1.93163,
        1.93018,
        1.94514,
        1.93801,
        1.96169,
        1.95607,
        1.96088,
        1.94371,
        1.94859,
        1.93975,
        1.9579,
        1.96082,
        1.95666,
        1.96633,
        2.03086,
        1.99714,
        1.95861,
        1.96833,
        1.95283,
        1.95978,
        1.9539,
        1.96422,
        1.96303,
        2.00647,
        1.9932,
        1.98645,
        1.97422,
        1.98496,
        1.97342,
        2.03628,
        2.01388,
        1.9884,
        1.9845,
        1.98165,
        1.9717,
        1.97444,
        1.9752,
        1.97002,
        1.97956,
        1.98491,
        1.98122,
        1.9846,
        1.99753,
        1.97969,
        2.03093,
        2.06885,
        2.0143,
        1.99516,
        1.99564,
        1.98599,
        2.0034,
        2.03736,
        2.03072,
        2.00371,
        2.00632,
        2.00511,
        2.00417,
        2.04209,
        2.03136,
        2.01596,
        2.00459,
        2.01601,
        2.00396,
        2.04387,
        2.06499,
        2.02568,
        2.03103,
        2.06041,
        2.03164,
        2.01648,
        2.02182,
        2.02698,
        2.0782,
        2.04066,
        2.02924,
        2.01688,
        2.0282,
        2.0256,
        2.03129,
        2.03108,
        2.04974,
        2.04068,
        2.02813,
        2.04189,
        2.02964,
        2.04359,
        2.03069,
        2.04847,
        2.04239,
        2.05173,
        2.04333,
        2.0659,
        2.11815,
        2.06596,
        2.10269,
        2.07246,
        2.04814,
        2.04036,
        2.05287,
        2.04691,
        2.05888,
        2.06677,
        2.08229,
        2.08241,
        2.06567,
        2.06212,
        2.05282,
        2.05714,
        2.05054,
        2.06224,
        2.05518,
        2.06263,
        2.05825,
        2.07091,
        2.0901,
        2.06603,
        2.06321,
        2.0582,
        2.0591,
        2.05817,
        2.06895,
        2.06624,
        2.07266,
        2.07759,
        2.06938,
        2.07386,
        2.07307,
        2.08419,
        2.08001,
        2.07956,
        2.07658,
        2.07544,
        2.08931,
        2.13894,
        2.10479,
        2.08609,
        2.09823,
        2.08583,
        2.08303,
        2.08662,
        2.11598,
        2.11339,
        2.08354,
        2.08647,
        2.1134,
        2.10977,
        2.08655,
        2.08876,
        2.09299,
        2.09636,
        2.14288,
        2.13571,
        2.09979,
        2.09489,
        2.09456,
        2.09721,
        2.09548,
        2.10118,
        2.09167,
        2.09759,
        2.10884,
        2.17249,
        2.19078,
        2.1703,
        2.15298,
        2.13016,
        2.18739,
        2.13391,
        2.11337,
        2.1144,
        2.11482,
        2.12458,
        2.13078,
        2.12611,
        2.12247,
        2.11212,
        2.11821,
        2.11669,
        2.11994,
        2.12004,
        2.12824,
        2.11747,
        2.12491,
        2.11989,
        2.12492,
        2.13443,
        2.1305,
        2.13147,
        2.12892,
        2.15772,
        2.21701,
        2.21888,
        2.15487,
        2.13117,
        2.14692,
        2.13363,
        2.14209,
        2.14065,
        2.13579,
        2.1519,
        2.14097,
        2.14776,
        2.1457,
        2.15181,
        2.14384,
        2.14436,
        2.17711,
        2.19749,
        2.16498,
        2.14539,
        2.151,
        2.14643,
        2.14754,
        2.17702,
        2.15961,
        2.17095,
        2.14948,
        2.15947,
        2.16058,
        2.15481,
        2.16492,
        2.14059,
        2.16468,
        2.14747,
        2.15728,
        2.16576,
        2.15694,
        2.1695,
        2.16684,
        2.20628,
        2.23104,
        2.17071,
        2.1696,
        2.16443,
        2.16868,
        2.16662,
        2.17257,
        2.17451,
        2.17465,
        2.19673,
        2.16756,
        2.17913,
        2.16873,
        2.21313,
        2.25778,
        2.18559,
        2.17699,
        2.17399,
        2.25207,
        2.21523,
        2.17338,
        2.17916,
        2.16243,
        2.18112,
        2.17997,
        2.18146,
        2.17888,
        2.176,
        2.18525,
        2.18246,
        2.25096,
        2.20915,
        2.18064,
        2.18652,
        2.16558,
        2.18957,
        2.20439,
        2.2499,
        2.21418,
        2.18133,
        2.18892,
        2.1841,
        2.23731,
        2.22514,
        2.17797,
        2.19058,
        2.17095,
        2.22131,
        2.25661,
        2.19999,
        2.1949,
        2.17767,
        2.19187,
        2.19746,
        2.19931,
        2.21533,
        2.17792,
        2.20748,
        2.18416,
        2.18612,
        2.21579,
        2.20327,
        2.21168,
        2.18876,
        2.19494,
        2.20184,
        2.18687,
        2.2285,
        2.27691,
        2.23454,
        2.20802,
        2.17992,
        2.21405,
        2.19484,
        2.2078,
        2.21148,
        2.19452,
        2.21925,
        2.20372,
        2.23037,
        2.21964,
        2.20443,
        2.27369,
        2.23588,
        2.25011,
        2.33237,
        2.29239,
        2.23961,
        2.20982,
        2.22377,
        2.22549,
        2.21345,
        2.24902,
        2.2317,
        2.23835,
        2.23507,
        2.21299,
        2.24312,
        2.21836,
        2.27786,
        2.28918,
        2.22757,
        2.25281,
        2.22692,
        2.23784,
        2.25449,
        2.2478,
        2.28809,
        2.2581,
        2.2411,
        2.24541,
        2.23279,
        2.25782,
        2.24048,
        2.23853,
        2.26015,
        2.23316,
        2.24867,
        2.24919,
        2.24761,
        2.25918,
        2.23334,
        2.25901,
        2.30216,
        2.33016,
        2.28513,
        2.24573,
        2.25916,
        2.267,
        2.23477,
        2.27772,
        2.25519,
        2.24849,
        2.27807,
        2.24367,
        2.28004,
        2.27218,
        2.26818,
        2.29909,
        2.28076,
        2.28851,
        2.28044,
        2.26365,
        2.29764,
        2.27502,
        2.288,
        2.2943,
        2.27842,
        2.30189,
        2.27862,
        2.2814,
        2.30095,
        2.27519,
        2.30041,
        2.29148,
        2.2842,
        2.30917,
        2.28276,
        2.29788,
        2.32181,
        2.35665,
        2.33812,
        2.29834,
        2.28817,
        2.32539,
        2.2828,
        2.31351,
        2.30151,
        2.28366,
        2.30866,
        2.28547,
        2.29954,
        2.31932,
        2.28461,
        2.32341,
        2.30937,
        2.29683,
        2.3233,
        2.30189,
        2.31916,
        2.3308,
        2.31317,
        2.33722,
        2.32635,
        2.31407,
        2.34863,
        2.31318,
        2.34164,
        2.32105,
        2.30859,
        2.30942,
        2.30551,
        2.30577,
        2.32335,
        2.36807,
        2.38248,
        2.33682,
        2.32071,
        2.32569,
        2.31428,
        2.32157,
        2.33294,
        2.32291,
        2.32953,
        2.34095,
        2.32654,
        2.3339,
        2.33571,
        2.32418,
        2.34562,
        2.36232,
        2.35486,
        2.34012,
        2.34089,
        2.3532,
        2.34459,
        2.34154,
        2.34129,
        2.34143,
        2.34427,
        2.33421,
        2.36648,
        2.38591,
        2.36121,
        2.35367,
        2.36188,
        2.37443,
        2.33861,
        2.33942,
        2.34846,
        2.33746,
        2.35147,
        2.35575,
        2.36963,
        2.34736,
        2.37282,
        2.38479,
        2.37476,
        2.40655,
        2.3942,
        2.35235,
        2.35357,
        2.35685,
        2.36355,
        2.372,
        2.37965,
        2.3508,
        2.3517,
        2.3477,
        2.3471,
        2.36087,
        2.41663,
        2.43459,
        2.38655,
        2.36085,
        2.36324,
        2.3678,
        2.41185,
        2.48668,
        2.42045,
        2.36836,
        2.36638,
        2.3701,
        2.37073,
        2.37635,
        2.39635,
        2.45258,
        2.42042,
        2.38037,
        2.38085,
        2.37463,
        2.37298,
        2.38638,
        2.42139,
        2.44833,
        2.37939,
        2.37416,
        2.38391,
        2.37043,
        2.37448,
        2.38805,
        2.40299,
        2.4388,
        2.42949,
        2.40051,
        2.42027,
        2.41272,
        2.40253,
        2.48106,
        2.42988,
        2.39691,
        2.39511,
        2.40406,
        2.42702,
        2.43068,
        2.42115,
        2.38711,
        2.40234,
        2.4041,
        2.4058,
        2.39495,
        2.38633,
        2.39336,
        2.38817,
        2.38662,
        2.39941,
        2.4283,
        2.45936,
        2.48399,
        2.42361,
        2.40375,
        2.39614,
        2.4029,
        2.41054,
        2.41509,
        2.41677,
        2.40648,
        2.42076,
        2.41516,
        2.41481,
        2.427,
        2.43214,
        2.42807,
        2.42498,
        2.42906,
        2.43425,
        2.42343,
        2.4057,
        2.42698,
        2.44441,
        2.41757,
        2.43463,
        2.40538,
        2.40723,
        2.44639,
        2.44477,
        2.49978,
        2.56723,
        2.48878,
        2.43001,
        2.44367,
        2.42885,
        2.42047,
        2.42765,
        2.43533,
        2.42776,
        2.44071,
        2.4459,
        2.4334,
        2.44915,
        2.41254,
        2.42981,
        2.42122,
        2.42621,
        2.45548,
        2.49423,
        2.44201,
        2.42916,
        2.4246,
        2.42596,
        2.43632,
        2.442,
        2.41977,
        2.43322,
        2.43369,
        2.42854,
        2.44971,
        2.4409,
        2.4328,
        2.44167,
        2.44976,
        2.43065,
        2.45157,
        2.44508,
        2.43893,
        2.46333,
        2.51354,
        2.48861,
        2.45342,
        2.44279,
        2.43814,
        2.44402,
        2.45244,
        2.45008,
        2.44415,
        2.48654,
        2.49937,
        2.46537,
        2.43762,
        2.44418,
        2.45161,
        2.44668,
        2.44585,
        2.45551,
        2.45447,
        2.45092,
        2.45499,
        2.44383,
        2.45178,
        2.46568,
        2.46861,
        2.48516,
        2.49811,
        2.47795,
        2.47323,
        2.47477,
        2.46555,
        2.4667,
        2.47175,
        2.46241,
        2.47757,
        2.47512,
        2.46266,
        2.47335,
        2.47716,
        2.46355,
        2.47354,
        2.49357,
        2.48776,
        2.49107,
        2.51011,
        2.52012,
        2.4969,
        2.47786,
        2.49349,
        2.55869,
        2.53294,
        2.48285,
        2.48675,
        2.50745,
        2.54453,
        2.52472,
        2.52903,
        2.49047,
        2.4794,
        2.49091,
        2.48881,
        2.49885,
        2.49699,
        2.4771,
        2.48321,
        2.49517,
        2.49329,
        2.48471,
        2.48926,
        2.48793,
        2.48261,
        2.49246,
        2.4754,
        2.48245,
        2.49791,
        2.50504,
        2.58172,
        2.57737,
        2.51746,
        2.49784,
        2.49988,
        2.49705,
        2.49652,
        2.51743,
        2.51586,
        2.49602,
        2.51265,
        2.54138,
        2.53956,
        2.54998,
        2.54839,
        2.54028,
        2.55151,
        2.53508,
        2.51353,
        2.52438,
        2.52114,
        2.52658,
        2.53483,
        2.51551,
        2.50206,
        2.51227,
        2.51002,
        2.5055,
        2.51194,
        2.52995,
        2.51055,
        2.52043,
        2.53142,
        2.54457,
        2.53243,
        2.52247,
        2.52317,
        2.52154,
        2.53442,
        2.53508,
        2.5291,
        2.53258,
        2.53327,
        2.53243,
        2.54116,
        2.53009,
        2.52457,
        2.53654,
        2.54228,
        2.53436,
        2.53159,
        2.53766,
        2.53045,
        2.53819,
        2.54415,
        2.52027,
        2.53345,
        2.54738,
        2.53683,
        2.53803,
        2.54589,
        2.54185,
        2.56877,
        2.64282,
        2.59182,
        2.55094,
        2.55937,
        2.54683,
        2.54329,
        2.55442,
        2.56277,
        2.55408,
        2.56703,
        2.57012,
        2.54787,
        2.56034,
        2.57798,
        2.61995,
        2.60279,
        2.58101,
        2.56277,
        2.54494,
        2.55573,
        2.56685,
        2.54974,
        2.56296,
        2.55888,
        2.5547,
        2.55928,
        2.60517,
        2.6475,
        2.58779,
        2.56263,
        2.56687,
        2.55673,
        2.56849,
        2.57319,
        2.59822,
        2.68559,
        2.62261,
        2.57978,
        2.57287,
        2.57333,
        2.57488,
        2.57563,
        2.57969,
        2.57494,
        2.585,
        2.59273,
        2.58035,
        2.59236,
        2.64581,
        2.65559,
        2.58229,
        2.59081,
        2.57963,
        2.58113,
        2.61374,
        2.68518,
        2.62535,
        2.57719,
        2.58281,
        2.56457,
        2.57962,
        2.58399,
        2.57317,
        2.57703,
        2.59155,
        2.58411,
        2.59143,
        2.60354,
        2.59582,
        2.58192,
        2.59429,
        2.60758,
        2.59573,
        2.59192,
        2.58654,
        2.60887,
        2.59644,
        2.60767,
        2.60573,
        2.58615,
        2.59739,
        2.61125,
        2.59229,
        2.5798,
        2.59527,
        2.58548,
        2.58635,
        2.6066,
        2.58921,
        2.58827,
        2.60919,
        2.58842,
        2.58151,
        2.60829,
        2.60236,
        2.59976,
        2.60617,
        2.62373,
        2.67256,
        2.7193,
        2.70148,
        2.64528,
        2.62697,
        2.63103,
        2.65744,
        2.63225,
        2.61097,
        2.64838,
        2.65975,
        2.62926,
        2.62852,
        2.61597,
        2.60676,
        2.62857,
        2.64313,
        2.63727,
        2.62645,
        2.61494,
        2.61401,
        2.65037,
        2.70163,
        2.70909,
        2.6978,
        2.63744,
        2.61907,
        2.59918,
        2.61181,
        2.61515,
        2.60546,
        2.60509,
        2.61671,
        2.62562,
        2.61575,
        2.61696,
        2.6295,
        2.61885,
        2.61387,
        2.63236,
        2.62423,
        2.63845,
        2.66318,
        2.6279,
        2.61901,
        2.62594,
        2.63523,
        2.62079,
        2.62248,
        2.62903,
        2.6198,
        2.61966,
        2.68502,
        2.7165,
        2.62484,
        2.62487,
        2.62482,
        2.6097,
        2.62748,
        2.67248,
        2.73195,
        2.6735,
        2.6508,
        2.63942,
        2.60842,
        2.66272,
        2.71895,
        2.63744,
        2.62075,
        2.63132,
        2.64699,
        2.67384,
        2.66933,
        2.70137,
        2.70499,
        2.64945,
        2.63477,
        2.63012,
        2.63342,
        2.6321,
        2.64719,
        2.62549,
        2.62449,
        2.64514,
        2.63792,
        2.59808,
        2.62272,
        2.62727,
        2.61713,
        2.62632,
        2.63034,
        2.61966,
        2.61134,
        2.63838,
        2.62351,
        2.61559,
        2.62471,
        2.6392,
        2.62873,
        2.64537,
        2.66503,
        2.64871,
        2.61671,
        2.64254,
        2.64198,
        2.62052,
        2.62997,
        2.64249,
        2.66176,
        2.63538,
        2.64022,
        2.64355,
        2.60737,
        2.62184,
        2.63367,
        2.63515,
        2.62984,
        2.62889,
        2.63397,
        2.62112,
        2.60643,
        2.64956,
        2.63003,
        2.61908,
        2.63076,
        2.63887,
        2.62274,
        2.62129,
        2.62601,
        2.63383,
        2.62675,
        2.62954,
        2.66173,
        2.61118,
        2.64374,
        2.64896,
        2.65034,
        2.64041,
        2.63901,
        2.67043,
        2.64134,
        2.635,
        2.64809,
        2.63702,
        2.6356,
        2.64633,
        2.672,
        2.65392,
        2.62367,
        2.65753,
        2.66048,
        2.64376,
        2.64579,
        2.66866,
        2.65571,
        2.64419,
        2.66445,
        2.67161,
        2.64001,
        2.64371,
        2.66236,
        2.64767,
        2.64207,
        2.6686,
        2.65797,
        2.68292,
        2.68757,
        2.66833,
        2.65894,
        2.67376,
        2.67074,
        2.7056,
        2.7182,
        2.72228,
        2.70679,
        2.68709,
        2.68632,
        2.67262,
        2.67154,
        2.67304,
        2.66453,
        2.64912,
        2.65372,
        2.66508,
        2.66034,
        2.70143,
        2.72619,
        2.71374,
        2.66827,
        2.65571,
        2.67976,
        2.70111,
        2.67541,
        2.6572,
        2.66816,
        2.6593,
        2.65307,
        2.66256,
        2.66403,
        2.65969,
        2.66663,
        2.66492,
        2.67732,
        2.67283,
        2.66855,
        2.6608,
        2.66675,
        2.66788,
        2.68295,
        2.69045,
        2.67703,
        2.68491,
        2.69395,
        2.67736,
        2.6748,
        2.66481,
        2.67316,
        2.67365,
        2.67578,
        2.68052,
        2.67872,
        2.67613,
        2.67277,
        2.67059,
        2.66635,
        2.6602,
        2.66656,
        2.66551,
        2.66481,
        2.67562,
        2.67125,
        2.66738,
        2.67002,
        2.65954,
        2.67319,
        2.68175,
        2.68741,
        2.68465,
        2.67925,
        2.66426,
        2.67789,
        2.69603,
        2.70945,
        2.69201,
        2.69615,
        2.72887,
        2.72582,
        2.71023,
        2.7271,
        2.71094,
        2.68675,
        2.68517,
        2.68155,
        2.67966,
        2.70891,
        2.73256,
        2.79175,
        2.75363,
        2.69425,
        2.68366,
        2.71477,
        2.79349,
        2.77541,
        2.69355,
        2.70893,
        2.78562,
        2.76774,
        2.69457,
        2.67505,
        2.6735,
        2.67746,
        2.67008,
        2.67019,
        2.68048,
        2.73158,
        2.75747,
        2.70583,
        2.70575,
        2.7511,
        2.75901,
        2.71247,
        2.6911,
        2.68504,
        2.67741,
        2.69454,
        2.72372,
        2.775,
        2.78783,
        2.76649,
        2.71872,
        2.70116,
        2.71142,
        2.74442,
        2.78997,
        2.78671,
        2.70379,
        2.67415,
        2.68731,
        2.67812,
        2.68742,
        2.67737,
        2.67776,
        2.66664,
        2.70302,
        2.73863,
        2.70952,
        2.66779,
        2.67636,
        2.68024,
        2.67988,
        2.71657,
        2.77393,
        2.76012,
        2.69747,
        2.69276,
        2.7019,
        2.68791,
        2.68528,
        2.68581,
        2.68858,
        2.68269,
        2.68785,
        2.68713,
        2.68653,
        2.69596,
        2.70435,
        2.67811,
        2.6912,
        2.68841,
        2.69501,
        2.69699,
        2.69978,
        2.69021,
        2.69541,
        2.68205,
        2.6934,
        2.6843,
        2.70085,
        2.69228,
        2.68604,
        2.68108,
        2.70092,
        2.70014,
        2.69183,
        2.70167,
        2.74665,
        2.77943,
        2.74433,
        2.71338,
        2.7115,
        2.73105,
        2.76424,
        2.79404,
        2.74095,
        2.68879,
        2.6868,
        2.70321,
        2.69786,
        2.71437,
        2.71619,
        2.7018,
        2.70616,
        2.70349,
        2.71163,
        2.72472,
        2.72082,
        2.7267,
        2.72667,
        2.72078,
        2.71923,
        2.71681,
        2.72097,
        2.73615,
        2.7172,
        2.69896,
        2.70771,
        2.70416,
        2.70824,
        2.71396,
        2.70177,
        2.73531,
        2.73042,
        2.68782,
        2.68254,
        2.73671,
        2.72713,
        2.67463,
        2.70555,
        2.72288,
        2.71769,
        2.70871,
        2.7141,
        2.72978,
        2.71784,
        2.70013,
        2.70104,
        2.7387,
        2.73682,
        2.69941,
        2.70121,
        2.73114,
        2.73391,
        2.69764,
        2.72143,
        2.74029,
        2.74379,
        2.7083,
        2.73816,
        2.76366,
        2.74095,
        2.73227,
        2.74559,
        2.75194,
        2.75297,
        2.74549,
        2.74442,
        2.72973,
        2.71327,
        2.74125,
        2.77321,
        2.73176,
        2.70192,
        2.69112,
        2.70466,
        2.73416,
        2.74885,
        2.77326,
        2.75206,
        2.73849,
        2.70335,
        2.69264,
        2.72263,
        2.70309,
        2.73742,
        2.74296,
        2.72831,
        2.74015,
        2.72193,
        2.71532,
        2.73419,
        2.74006,
        2.73875,
        2.73244,
        2.73069,
        2.74607,
        2.741,
        2.73334,
        2.7351,
        2.75217,
        2.72312,
        2.71978,
        2.73388,
        2.74845,
        2.74466,
        2.74308,
        2.72584,
        2.72431,
        2.72719,
        2.73647,
        2.78164,
        2.76841,
        2.72632,
        2.7264,
        2.71737,
        2.75382,
        2.74575,
        2.73794,
        2.7279,
        2.75219,
        2.71767,
        2.70965,
        2.73292,
        2.74674,
        2.75312,
        2.73914,
        2.72913,
        2.73303,
        2.74834,
        2.73136,
        2.74433,
        2.75599,
        2.75287,
        2.75098,
        2.74909,
        2.73993,
        2.74182,
        2.75666,
        2.77413,
        2.7808,
        2.7768,
        2.76545,
        2.75852,
        2.76626,
        2.75095,
        2.74006,
        2.72324,
        2.75354,
        2.74141,
        2.72477,
        2.74213,
        2.75902,
        2.75085,
        2.74055,
        2.73159,
        2.78179,
        2.78997,
        2.76198,
        2.72406,
        2.75214,
        2.76955,
        2.77054,
        2.78794,
        2.84398,
        2.85947,
        2.84807,
        2.77919,
        2.76958,
        2.7849,
        2.74562,
        2.74875,
        2.73837,
        2.75939,
        2.7995,
        2.81187,
        2.80147,
        2.81914,
        2.78622,
        2.77096,
        2.78053,
        2.77911,
        2.7896,
        2.81776,
        2.80444,
        2.81131,
        2.86372,
        2.81957,
        2.76116,
        2.75199,
        2.8026,
        2.81441,
        2.78088,
        2.79229,
        2.81892,
        2.84462,
        2.78565,
        2.76965,
        2.81973,
        2.82246,
        2.80811,
        2.80321,
        2.85277,
        2.82034,
        2.77465,
        2.75025,
        2.77271,
        2.77372,
        2.77644,
        2.79648,
        2.79526,
        2.80137,
        2.80004,
        2.78863,
        2.78488,
        2.78558,
        2.78852,
        2.76342,
        2.77931,
        2.80258,
        2.83132,
        2.81346,
        2.80209,
        2.80771,
        2.79569,
        2.77462,
        2.7797,
        2.79771,
        2.80668,
        2.80979,
        2.79061,
        2.81102,
        2.82355,
        2.79882,
        2.77161,
        2.80117,
        2.80256,
        2.78376,
        2.77387,
        2.80672,
        2.85713,
        2.83382,
        2.78054,
        2.79764,
        2.77508,
        2.78589,
        2.7558,
        2.7684,
        2.83645,
        2.81171,
        2.79588,
        2.79326,
        2.7842,
        2.77429,
        2.81578,
        2.79288,
        2.76323,
        2.81038,
        2.83026,
        2.76836,
        2.80705,
        2.81408,
        2.78717,
        2.80387,
        2.80581,
        2.81604,
        2.8402,
        2.80757,
        2.82416,
        2.81555,
        2.81119,
        2.82122,
        2.78362,
        2.78123,
        2.78822,
        2.79539,
        2.79842,
        2.76979,
        2.79791,
        2.82062,
        2.78642,
        2.80231,
        2.80623,
        2.82086,
        2.84957,
        2.81187,
        2.81948,
        2.83558,
        2.80716,
        2.80705,
        2.79087,
        2.80475,
        2.8236,
        2.78819,
        2.79927,
        2.78975,
        2.81607,
        2.81309,
        2.80234,
        2.80479,
        2.894,
        2.97365,
        2.89796,
        2.82838,
        2.76887,
        2.7993,
        2.8558,
        2.84349,
        2.81175,
        2.83723,
        2.91235,
        2.94141,
        2.90183,
        2.82743,
        2.85668,
        2.83082,
        2.76674,
        2.80357,
        2.82145,
        2.83849,
        2.88095,
        2.83502,
        2.83866,
        2.88459,
        2.82321,
        2.7757,
        2.85971,
        2.80684,
        2.79135,
        2.74657,
        2.78643,
        2.81323,
        2.86473,
        2.81565,
        2.79765,
        2.8701,
        2.85778,
        2.86997,
        2.87731,
        2.84826,
        2.85072,
        2.81869,
        2.84397,
        2.84706,
        2.90949,
        2.86402,
        2.83599,
        2.85476,
        2.87655,
        2.86036,
        2.91819,
        3.03916,
        2.95607,
        2.91537,
        2.80188,
        2.77876,
        2.79833,
        2.80333,
        2.84371,
        2.9246,
        2.76376,
        2.76482,
        2.7909,
        2.76376,
        2.83639,
        2.74318,
        2.84593,
        2.91568,
        2.86198,
        2.82864,
        2.76629,
        2.82879,
        2.74136,
        2.7351,
        2.72944,
        2.66084,
        2.79651,
        2.9489,
        2.80723,
        2.76342,
        2.8994,
        2.85043,
        2.95931,
        2.98069,
        2.98968,
        2.84609,
        2.74805,
        2.81646,
        2.83041,
        2.76283,
        2.89587,
        2.97887,
        2.69755,
        2.81931,
        2.92271,
        2.91629,
        2.81892,
        3.01209,
        2.98725,
        2.84744,
        2.97429,
        3.14917,
        2.8793,
        2.78217,
        2.87104,
        3.53862,
        3.17561,
        3.15441,
        3.01652,
        2.97652,
        2.80236,
        2.91544,
        3.31194,
        3.47852,
        2.96204,
        3.12084,
        3.12185,
        3.02603,
        3.01742,
        2.68164,
        2.99819,
        3.3574,
        3.12869,
        2.89704,
        2.8886,
        2.77366,
        3.02138,
        3.16355,
        2.92387,
        2.94729,
        2.77008,
        3.23326,
        2.85725,
        2.86742,
        3.13938,
        3.18497,
        2.84807,
        2.88798,
        3.0543,
        3.2692,
        3.39658,
        3.21466,
        2.93079,
        2.82328,
        2.84413,
        2.99289,
        2.39415,
        3.20784,
        3.53303,
        3.36571,
        2.95697,
        3.11234,
        3.14124,
        3.29374,
        3.18418,
        2.1709,
        3.28289,
        2.48707,
        2.25646,
        2.47176,
        2.59094,
        2.44818,
        2.57368,
        2.90268,
        2.87153,
        3.05351,
        2.75301,
        2.93928,
        3.16683,
        3.11784,
        3.02589,
        2.68481,
        3.10549,
        2.79687,
        2.37131,
        2.93551,
        2.64204,
        2.64382,
        2.48523,
        2.75594,
        3.04529,
        2.815,
        2.8186,
        2.86531,
        2.7308,
        2.7474,
        2.61549,
        2.60529,
        2.60381,
        3.0238,
        2.9963,
        2.59225,
        2.64386,
        2.74297,
        2.64164,
        2.52444,
        2.53285,
        3.3588,
        3.33495,
        2.78452,
        2.77293,
        2.9096,
        2.70248,
        2.44155,
        2.45047,
        2.54264,
        2.892,
        2.84826,
        2.84809,
        2.84792,
        2.84775,
        2.84758,
        2.84741,
        2.84724,
        2.84707,
        2.8469,
        2.84673,
        2.84655,
        2.84638,
        2.84621
    ],
    "flux_error": [
        0.00113949,
        0.00113949,
        0.00115227,
        0.00115227,
        0.00141649,
        0.00141649,
        0.00141649,
        0.00141649,
        0.0015098,
        0.00160085,
        0.00163276,
        0.00170745,
        0.00170745,
        0.00170745,
        0.00170745,
        0.00170745,
        0.00170745,
        0.00164621,
        0.00161363,
        0.00160085,
        0.00160085,
        0.00160085,
        0.00158734,
        0.00160085,
        0.00160085,
        0.00160085,
        0.00160085,
        0.00158734,
        0.0015098,
        0.00146485,
        0.00146485,
        0.00146485,
        0.0015098,
        0.00158734,
        0.00161363,
        0.00158734,
        0.00158734,
        0.00161363,
        0.00164621,
        0.00165391,
        0.00165391,
        0.00164621,
        0.00161363,
        0.00161363,
        0.00159128,
        0.00161363,
        0.00161363,
        0.00161363,
        0.00161363,
        0.00159128,
        0.00159128,
        0.00159128,
        0.00159128,
        0.00165391,
        0.00165391,
        0.00159128,
        0.00153884,
        0.00135601,
        0.00135601,
        0.00141505,
        0.00153884,
        0.0014247,
        0.00151609,
        0.0014247,
        0.0014247,
        0.0014247,
        0.00151609,
        0.00151609,
        0.00151609,
        0.00151609,
        0.00151609,
        0.0014247,
        0.0014247,
        0.0014247,
        0.0014247,
        0.0014247,
        0.00142004,
        0.0014247,
        0.00151609,
        0.00151609,
        0.0014247,
        0.0014247,
        0.0014247,
        0.0014247,
        0.00142004,
        0.00142004,
        0.00142004,
        0.00142004,
        0.00142004,
        0.00142004,
        0.0014247,
        0.0014247,
        0.00142815,
        0.00142004,
        0.00142815,
        0.00141117,
        0.00141117,
        0.00141117,
        0.00142815,
        0.00142815,
        0.00141117,
        0.00132663,
        0.00141117,
        0.00141117,
        0.00141117,
        0.00142815,
        0.00141028,
        0.00141028,
        0.00138847,
        0.00133968,
        0.00133968,
        0.00133968,
        0.00138847,
        0.00138847,
        0.00138847,
        0.00141028,
        0.00141028,
        0.00141028,
        0.00141028,
        0.00141028,
        0.00141028,
        0.00138847,
        0.00133968,
        0.0012762,
        0.0012762,
        0.00123159,
        0.00123159,
        0.00121029,
        0.00121029,
        0.00121029,
        0.00121029,
        0.00123159,
        0.0012762,
        0.00123159,
        0.00112533,
        0.00112533,
        0.00108743,
        0.000978142,
        0.000926575,
        0.000926575,
        0.000926575,
        0.000978142,
        0.00098295,
        0.00098295,
        0.00098295,
        0.00098295,
        0.000978142,
        0.000926575,
        0.000978142,
        0.00098295,
        0.00123159,
        0.00123159,
        0.00123791,
        0.00142892,
        0.00142892,
        0.00142892,
        0.00143319,
        0.00145147,
        0.00145147,
        0.00145147,
        0.00145147,
        0.00145147,
        0.00146052,
        0.00145147,
        0.00145147,
        0.00145147,
        0.00142892,
        0.00145147,
        0.00145147,
        0.00145147,
        0.0016046,
        0.00143147,
        0.00143147,
        0.00143147,
        0.00142247,
        0.00139401,
        0.00138627,
        0.00139401,
        0.00142247,
        0.00142247,
        0.00139401,
        0.00138627,
        0.00139401,
        0.00138627,
        0.00131876,
        0.00131876,
        0.00116747,
        0.00107486,
        0.000922084,
        0.000922084,
        0.000922084,
        0.000922084,
        0.000922084,
        0.000885127,
        0.000885127,
        0.000922084,
        0.00110761,
        0.00110761,
        0.00110761,
        0.0011554,
        0.00110761,
        0.00110761,
        0.00110761,
        0.00110761,
        0.0011554,
        0.0011554,
        0.00115885,
        0.00118012,
        0.00118012,
        0.00115885,
        0.00118012,
        0.00118012,
        0.00121538,
        0.00118012,
        0.00118012,
        0.00121538,
        0.00121663,
        0.00124476,
        0.00127873,
        0.0012894,
        0.0012894,
        0.00127873,
        0.00127873,
        0.00127873,
        0.0012894,
        0.0012894,
        0.0012894,
        0.0012894,
        0.00143566,
        0.00143566,
        0.0012894,
        0.0012894,
        0.0012894,
        0.00134027,
        0.0012894,
        0.00127873,
        0.0012894,
        0.0012894,
        0.00127873,
        0.00127873,
        0.0012894,
        0.0012894,
        0.00130209,
        0.0012894,
        0.00130209,
        0.00130209,
        0.0012894,
        0.0012894,
        0.00127045,
        0.00127045,
        0.00125237,
        0.00125237,
        0.00127045,
        0.00127045,
        0.00127045,
        0.00127045,
        0.00130209,
        0.00133441,
        0.00134027,
        0.00134027,
        0.00134027,
        0.00134027,
        0.00134027,
        0.00133441,
        0.00133441,
        0.00133441,
        0.00133441,
        0.00131729,
        0.00131729,
        0.00131885,
        0.00131729,
        0.00131729,
        0.00131885,
        0.00137139,
        0.00137139,
        0.00134616,
        0.00137139,
        0.00137139,
        0.00134616,
        0.00137139,
        0.00134616,
        0.00134616,
        0.00134616,
        0.00131885,
        0.00131885,
        0.00131885,
        0.00131885,
        0.00131885,
        0.00131885,
        0.00131729,
        0.00130832,
        0.00130832,
        0.00131729,
        0.00131885,
        0.00134616,
        0.00134616,
        0.00134616,
        0.00144869,
        0.00144869,
        0.00144869,
        0.00144869,
        0.00144869,
        0.00134616,
        0.00130832,
        0.00124097,
        0.00124097,
        0.00124097,
        0.00119851,
        0.00119851,
        0.00119851,
        0.00111272,
        0.00119851,
        0.00119851,
        0.00119851,
        0.00119851,
        0.00111272,
        0.00111272,
        0.00111058,
        0.00111058,
        0.00108916,
        0.00108916,
        0.00108289,
        0.00104992,
        0.00102444,
        0.00102444,
        0.00102057,
        0.00100451,
        0.00100451,
        0.00100451,
        0.000970315,
        0.000970315,
        0.000970315,
        0.000970315,
        0.00100451,
        0.00100451,
        0.000986131,
        0.000970315,
        0.000970315,
        0.000970315,
        0.000986131,
        0.000986131,
        0.000986131,
        0.000986131,
        0.000986131,
        0.000986131,
        0.000986131,
        0.00102057,
        0.000986131,
        0.000980963,
        0.000970315,
        0.000970315,
        0.000970315,
        0.000980963,
        0.000986131,
        0.000986131,
        0.000986131,
        0.00102357,
        0.00109337,
        0.00109337,
        0.00109337,
        0.0011016,
        0.00118036,
        0.00118377,
        0.00119497,
        0.00121116,
        0.00121116,
        0.00121116,
        0.00121116,
        0.00121116,
        0.00121116,
        0.00122096,
        0.00122096,
        0.00122096,
        0.00122096,
        0.00118377,
        0.00118377,
        0.00122096,
        0.00120114,
        0.00120114,
        0.00120114,
        0.00122096,
        0.00122168,
        0.00122168,
        0.00122168,
        0.00122168,
        0.00122096,
        0.00122096,
        0.00122096,
        0.00122096,
        0.00122168,
        0.00120114,
        0.00111635,
        0.00111467,
        0.00106741,
        0.00106741,
        0.00106741,
        0.00106741,
        0.00106741,
        0.00111467,
        0.00118611,
        0.00120114,
        0.00120114,
        0.00120114,
        0.00118611,
        0.00118458,
        0.00118458,
        0.00106741,
        0.0009839,
        0.000950879,
        0.000950879,
        0.0009839,
        0.0009839,
        0.000950879,
        0.000950879,
        0.0009839,
        0.000950879,
        0.0009839,
        0.0009839,
        0.0009839,
        0.00118458,
        0.00118458,
        0.00118611,
        0.00124736,
        0.00124736,
        0.00124736,
        0.00118611,
        0.00118458,
        0.0009839,
        0.0009839,
        0.00094452,
        0.000915016,
        0.000915016,
        0.000874038,
        0.000834317,
        0.000834317,
        0.000822042,
        0.000822042,
        0.000834317,
        0.000834317,
        0.000834317,
        0.000834317,
        0.000834317,
        0.000834317,
        0.000834317,
        0.000822042,
        0.000822042,
        0.000822042,
        0.000822042,
        0.000822042,
        0.000834317,
        0.000822042,
        0.000816773,
        0.000779998,
        0.000769609,
        0.000762283,
        0.000769609,
        0.000816773,
        0.000769609,
        0.000816773,
        0.000816773,
        0.000822042,
        0.000822042,
        0.000822042,
        0.00084573,
        0.00084573,
        0.00084573,
        0.00084573,
        0.000816773,
        0.00078368,
        0.000816773,
        0.00084573,
        0.000907503,
        0.000907503,
        0.000907503,
        0.000907503,
        0.000937268,
        0.000907503,
        0.000907503,
        0.00103796,
        0.000988947,
        0.000988947,
        0.00103796,
        0.00106404,
        0.00109302,
        0.00116054,
        0.00116054,
        0.00109302,
        0.00106404,
        0.00106404,
        0.00103796,
        0.00106404,
        0.00103796,
        0.00106404,
        0.00106404,
        0.00103796,
        0.00103796,
        0.000988947,
        0.000988947,
        0.000988947,
        0.00104924,
        0.000989248,
        0.000989248,
        0.000989248,
        0.000989248,
        0.000989248,
        0.000992949,
        0.000992949,
        0.000992949,
        0.000992949,
        0.000989248,
        0.000992949,
        0.000992949,
        0.000992949,
        0.000989248,
        0.000975458,
        0.000975458,
        0.000989248,
        0.000992949,
        0.000992949,
        0.00104606,
        0.00104606,
        0.00102476,
        0.00102476,
        0.000992949,
        0.000989248,
        0.000989248,
        0.000989248,
        0.000992949,
        0.00102476,
        0.00104606,
        0.00104606,
        0.00104606,
        0.00106195,
        0.00106195,
        0.00106195,
        0.00104606,
        0.00104606,
        0.00102929,
        0.00102929,
        0.00102929,
        0.00102929,
        0.00102476,
        0.000982126,
        0.000982126,
        0.000989383,
        0.00102476,
        0.00102476,
        0.000989383,
        0.000989383,
        0.000989383,
        0.000989383,
        0.00102476,
        0.000989383,
        0.000989383,
        0.00102929,
        0.00102929,
        0.00102929,
        0.00102929,
        0.000989383,
        0.000973973,
        0.000962278,
        0.000912466,
        0.000881696,
        0.000881696,
        0.000881696,
        0.000881696,
        0.000881696,
        0.000912466,
        0.000962278,
        0.000989383,
        0.000989383,
        0.000989383,
        0.000989383,
        0.000989383,
        0.000989383,
        0.000962278,
        0.000962278,
        0.000962278,
        0.000979114,
        0.000979114,
        0.00107831,
        0.00107831,
        0.000979114,
        0.00108837,
        0.00108837,
        0.00101129,
        0.00108837,
        0.00108837,
        0.00108837,
        0.00109636,
        0.00109636,
        0.00110483,
        0.00110483,
        0.00110483,
        0.00109636,
        0.00108837,
        0.00101129,
        0.00101129,
        0.00101129,
        0.000979114,
        0.000979114,
        0.000979114,
        0.000979114,
        0.000979114,
        0.000979114,
        0.000975651,
        0.000975651,
        0.000959728,
        0.000942738,
        0.000914526,
        0.000912243,
        0.000912243,
        0.000912243,
        0.000914526,
        0.000914526,
        0.000914526,
        0.000923703,
        0.000923703,
        0.000923703,
        0.000942738,
        0.000942738,
        0.000923703,
        0.000923703,
        0.000926783,
        0.000942738,
        0.000942738,
        0.000942738,
        0.00105447,
        0.00105447,
        0.000942738,
        0.000942738,
        0.000942738,
        0.000942738,
        0.00102403,
        0.00105447,
        0.00108975,
        0.00108975,
        0.00120786,
        0.00120786,
        0.00120786,
        0.00120786,
        0.00120786,
        0.00108975,
        0.00105447,
        0.00102403,
        0.000984869,
        0.000984869,
        0.00102403,
        0.000984869,
        0.00102403,
        0.00102403,
        0.000984869,
        0.000984869,
        0.000969493,
        0.000969493,
        0.000862442,
        0.000969493,
        0.000969493,
        0.000969493,
        0.000969493,
        0.000969493,
        0.000969493,
        0.000862442,
        0.000862442,
        0.000854322,
        0.000831802,
        0.000805578,
        0.000779794,
        0.000779794,
        0.000779794,
        0.000805578,
        0.000831802,
        0.000862442,
        0.000862442,
        0.000862442,
        0.000862442,
        0.000858412,
        0.000780872,
        0.000780872,
        0.000858412,
        0.000858412,
        0.000858412,
        0.000858412,
        0.000904841,
        0.000904841,
        0.000981373,
        0.000981373,
        0.000904841,
        0.000904841,
        0.000904841,
        0.000904841,
        0.000921739,
        0.000981373,
        0.000981373,
        0.000981373,
        0.000992173,
        0.00104446,
        0.00108253,
        0.00108253,
        0.00104446,
        0.000992173,
        0.000992173,
        0.000992173,
        0.000992173,
        0.000992173,
        0.000992173,
        0.000992173,
        0.00102283,
        0.00108253,
        0.00108253,
        0.00102283,
        0.00102283,
        0.000981373,
        0.000969003,
        0.000969003,
        0.000969003,
        0.000969003,
        0.00102283,
        0.00103791,
        0.00103791,
        0.00102283,
        0.000969003,
        0.00086574,
        0.000862387,
        0.000862387,
        0.00085864,
        0.00085864,
        0.00085864,
        0.000853494,
        0.000852679,
        0.000852679,
        0.000852679,
        0.000852679,
        0.000849342,
        0.000852679,
        0.000849342,
        0.000732691,
        0.000852679,
        0.000732691,
        0.000732691,
        0.000732691,
        0.000732691,
        0.00072646,
        0.00072646,
        0.00072646,
        0.00072646,
        0.000732691,
        0.000732691,
        0.000732691,
        0.000732691,
        0.000822307,
        0.000852679,
        0.000853494,
        0.000853494,
        0.000852679,
        0.000852679,
        0.000890026,
        0.000890026,
        0.000890026,
        0.000901698,
        0.000901698,
        0.000901698,
        0.00090933,
        0.00090933,
        0.00090933,
        0.000901698,
        0.00090933,
        0.00117747,
        0.00117747,
        0.00118447,
        0.00117747,
        0.00090933,
        0.000972446,
        0.00109354,
        0.00109354,
        0.00109354,
        0.000972446,
        0.000972446,
        0.000972446,
        0.000949094,
        0.00090933,
        0.00090933,
        0.000841476,
        0.000841476,
        0.000841476,
        0.000949094,
        0.000949094,
        0.000924368,
        0.000924368,
        0.000924368,
        0.000841476,
        0.000841476,
        0.000841476,
        0.000841476,
        0.000841476,
        0.000924368,
        0.000933837,
        0.000933837,
        0.000933837,
        0.000933837,
        0.000933837,
        0.000949094,
        0.000949094,
        0.000933837,
        0.000933837,
        0.000935989,
        0.000949094,
        0.000955781,
        0.000955781,
        0.000949094,
        0.000935989,
        0.000935989,
        0.000955781,
        0.000955781,
        0.000955781,
        0.00101069,
        0.00101069,
        0.00107081,
        0.00110256,
        0.00110256,
        0.00110256,
        0.00110256,
        0.00110256,
        0.00110256,
        0.00107081,
        0.00104917,
        0.00101069,
        0.00101069,
        0.00101069,
        0.000967329,
        0.000935989,
        0.000861441,
        0.000861441,
        0.000935989,
        0.000935989,
        0.000897804,
        0.000870643,
        0.000861441,
        0.000861441,
        0.000870643,
        0.000870643,
        0.000897804,
        0.000967329,
        0.000948401,
        0.000967329,
        0.000948401,
        0.000897804,
        0.000870643,
        0.000862218,
        0.000862218,
        0.000841721,
        0.000806459,
        0.000701204,
        0.000701204,
        0.000806459,
        0.000841721,
        0.000862218,
        0.000870643,
        0.000897804,
        0.000870643,
        0.000897804,
        0.000948401,
        0.0010089,
        0.000948401,
        0.000948401,
        0.000948401,
        0.0010089,
        0.0010089,
        0.00114371,
        0.0010089,
        0.0010089,
        0.0010089,
        0.000988867,
        0.000948401,
        0.000862218,
        0.000854669,
        0.000854669,
        0.000854669,
        0.000974799,
        0.000988867,
        0.000974799,
        0.000974799,
        0.000988867,
        0.00114371,
        0.00114371,
        0.00106125,
        0.000988867,
        0.000988867,
        0.000974799,
        0.000974799,
        0.000974799,
        0.000974799,
        0.000974799,
        0.000947635,
        0.000947635,
        0.000907389,
        0.000907389,
        0.000854669,
        0.000907389,
        0.000907389,
        0.000849152,
        0.000849152,
        0.000849152,
        0.000907389,
        0.000944054,
        0.000944054,
        0.000947635,
        0.000944054,
        0.000944054,
        0.000907389,
        0.000907389,
        0.000907389,
        0.000907389,
        0.000849152,
        0.000846838,
        0.000846838,
        0.000837135,
        0.000840646,
        0.000840646,
        0.000846838,
        0.000846838,
        0.000846838,
        0.000840646,
        0.000840646,
        0.000840646,
        0.000840646,
        0.000837135,
        0.000840646,
        0.000844044,
        0.000840646,
        0.000837135,
        0.000840646,
        0.000840646,
        0.000844044,
        0.000840646,
        0.000840646,
        0.000844044,
        0.000844044,
        0.000846838,
        0.000846838,
        0.000846838,
        0.000844044,
        0.000844044,
        0.000889002,
        0.000955358,
        0.000965074,
        0.000988843,
        0.00100506,
        0.00100506,
        0.000988843,
        0.000988843,
        0.000988843,
        0.000965074,
        0.000988843,
        0.000988843,
        0.00100506,
        0.00100987,
        0.00100987,
        0.00100987,
        0.00100987,
        0.00106185,
        0.00106263,
        0.0010919,
        0.0010919,
        0.00109544,
        0.00109544,
        0.00109544,
        0.00109544,
        0.0010919,
        0.00106185,
        0.0010919,
        0.00109544,
        0.00109544,
        0.00109544,
        0.0010919,
        0.00106185,
        0.00106185,
        0.00106185,
        0.00104968,
        0.00104968,
        0.00104968,
        0.00104968,
        0.00103479,
        0.00103479,
        0.00103479,
        0.000977178,
        0.000950115,
        0.000936094,
        0.000895966,
        0.000895966,
        0.00087116,
        0.000808243,
        0.000808243,
        0.000808243,
        0.000809033,
        0.000809033,
        0.000808243,
        0.000778606,
        0.000808243,
        0.000809033,
        0.000809033,
        0.000808243,
        0.000782756,
        0.000782756,
        0.000782756,
        0.000808243,
        0.000808243,
        0.000808243,
        0.000791593,
        0.000785242,
        0.000785242,
        0.000782756,
        0.000778606,
        0.000778606,
        0.000778606,
        0.000778606,
        0.000709077,
        0.000709077,
        0.000778606,
        0.000778606,
        0.000778606,
        0.000782756,
        0.000782756,
        0.000778606,
        0.000778606,
        0.000778606,
        0.00069106,
        0.00069106,
        0.000780959,
        0.000780959,
        0.000780959,
        0.000780959,
        0.000785242,
        0.000791593,
        0.000791593,
        0.000785242,
        0.000785242,
        0.000789218,
        0.000780959,
        0.000780959,
        0.000789218,
        0.000807849,
        0.000888909,
        0.000937764,
        0.000940225,
        0.000940633,
        0.000940633,
        0.00102923,
        0.00102923,
        0.000940633,
        0.000940633,
        0.000940633,
        0.00102923,
        0.00102923,
        0.00102923,
        0.00102923,
        0.0010954,
        0.00112715,
        0.00122598,
        0.00124093,
        0.00124093,
        0.00124093,
        0.00124093,
        0.00124093,
        0.00124093,
        0.00126848,
        0.00126848,
        0.00126848,
        0.00126848,
        0.00128612,
        0.00128612,
        0.00128612,
        0.00126848,
        0.00124093,
        0.00124093,
        0.0011415,
        0.0011415,
        0.0011415,
        0.00112192,
        0.0011415,
        0.0011415,
        0.0011415,
        0.0011415,
        0.00112192,
        0.0011415,
        0.00126848,
        0.00126848,
        0.00126848,
        0.00126848,
        0.00126848,
        0.0011415,
        0.00112192,
        0.00112192,
        0.00112192,
        0.00114018,
        0.00112192,
        0.0011031,
        0.0011031,
        0.0011031,
        0.0011031,
        0.0011031,
        0.0011031,
        0.00109585,
        0.00109585,
        0.00109585,
        0.0011031,
        0.0011031,
        0.00109585,
        0.00108301,
        0.00103738,
        0.00103738,
        0.00102059,
        0.00108301,
        0.00108301,
        0.00109585,
        0.00109585,
        0.00109585,
        0.00109585,
        0.00108301,
        0.00102059,
        0.000935809,
        0.00102059,
        0.00102059,
        0.00102059,
        0.000935809,
        0.000935809,
        0.000935809,
        0.000922776,
        0.000922776,
        0.000922776,
        0.000922776,
        0.000922776,
        0.000922776,
        0.000922776,
        0.000922776,
        0.000922776,
        0.000922776,
        0.000935809,
        0.000935809,
        0.00099239,
        0.00101693,
        0.00099239,
        0.00099239,
        0.00099239,
        0.00099239,
        0.00099239,
        0.00099239,
        0.000877813,
        0.000877813,
        0.000877813,
        0.000925817,
        0.00099239,
        0.00099239,
        0.00101693,
        0.00101693,
        0.00101693,
        0.00099239,
        0.00099239,
        0.00101693,
        0.00101693,
        0.00101693,
        0.00108683,
        0.00108683,
        0.00101693,
        0.00098144,
        0.00101693,
        0.00108683,
        0.00109263,
        0.00114164,
        0.00114164,
        0.00109263,
        0.00098144,
        0.00098144,
        0.00098144,
        0.000940449,
        0.00098144,
        0.00098144,
        0.000940449,
        0.000940449,
        0.00098144,
        0.0010646,
        0.00098144,
        0.00098144,
        0.00098144,
        0.00098144,
        0.000940449,
        0.00098144,
        0.00098144,
        0.000940449,
        0.000906025,
        0.000906025,
        0.000906025,
        0.000906025,
        0.000898648,
        0.000906025,
        0.000997001,
        0.000906025,
        0.000898648,
        0.000898648,
        0.00087746,
        0.000898648,
        0.000906025,
        0.000997001,
        0.00101623,
        0.0010646,
        0.0010646,
        0.00101623,
        0.000997001,
        0.000997001,
        0.000997001,
        0.000997001,
        0.000962768,
        0.000997001,
        0.000997001,
        0.000997001,
        0.000997001,
        0.00101623,
        0.00101623,
        0.00108962,
        0.00108962,
        0.00114944,
        0.00114944,
        0.00111987,
        0.00108962,
        0.00111987,
        0.00111987,
        0.00114944,
        0.00128142,
        0.0013665,
        0.00137356,
        0.00140637,
        0.00137356,
        0.00137356,
        0.0013665,
        0.0013665,
        0.00129653,
        0.00129653,
        0.00129653,
        0.00129653,
        0.0013665,
        0.0013665,
        0.0013665,
        0.00141963,
        0.00141963,
        0.0013665,
        0.0013665,
        0.0013665,
        0.0013665,
        0.0013665,
        0.00143287,
        0.00155396,
        0.00155396,
        0.00166077,
        0.00175566,
        0.00175566,
        0.0017032,
        0.0017032,
        0.0017032,
        0.00166077,
        0.00164798,
        0.00155396,
        0.0014855,
        0.0014855,
        0.0014855,
        0.0014855,
        0.00155396,
        0.00164798,
        0.00166077,
        0.00166077,
        0.00166077,
        0.00164798,
        0.00166077,
        0.00164798,
        0.00155396,
        0.00150421,
        0.00150421,
        0.0014855,
        0.0014855,
        0.0014539,
        0.0014539,
        0.00145376,
        0.00143643,
        0.00141981,
        0.00141981,
        0.00130588,
        0.00130588,
        0.00130588,
        0.00130588,
        0.00130588,
        0.00141981,
        0.00143643,
        0.00144685,
        0.00145376,
        0.0014539,
        0.00150421,
        0.00155113,
        0.00153763,
        0.00150421,
        0.00150179,
        0.00148779,
        0.00148779,
        0.00150179,
        0.00150179,
        0.00153763,
        0.00153763,
        0.00153763,
        0.00153763,
        0.00154059,
        0.00153763,
        0.00153763,
        0.00150179,
        0.00150179,
        0.00150179,
        0.00150179,
        0.00148779,
        0.00148779,
        0.00148779,
        0.00148779,
        0.00148779,
        0.00149847,
        0.00148779,
        0.00134009,
        0.00117047,
        0.001062,
        0.001062,
        0.00105247,
        0.00100953,
        0.00100953,
        0.00100953,
        0.00100953,
        0.00105153,
        0.00105153,
        0.00105153,
        0.00105153,
        0.00100953,
        0.00105153,
        0.001062,
        0.00110899,
        0.00110899,
        0.00117047,
        0.00117832,
        0.00117832,
        0.00117923,
        0.00117923,
        0.00117923,
        0.00120156,
        0.00124622,
        0.00124622,
        0.00120156,
        0.00120008,
        0.00117923,
        0.00117923,
        0.00120008,
        0.00120008,
        0.00120008,
        0.00117923,
        0.00117923,
        0.00117923,
        0.00117923,
        0.00117923,
        0.00117832,
        0.00117832,
        0.00117581,
        0.00117433,
        0.00117199,
        0.00117199,
        0.00111723,
        0.00109046,
        0.00103708,
        0.00102562,
        0.000957412,
        0.000911264,
        0.000911264,
        0.000911264,
        0.000891752,
        0.000911264,
        0.000911264,
        0.000891752,
        0.000867373,
        0.000863111,
        0.000863111,
        0.000846668,
        0.000830485,
        0.000830485,
        0.000830485,
        0.000846668,
        0.000846668,
        0.000863111,
        0.000867373,
        0.000867373,
        0.000863111,
        0.000846668,
        0.000846668,
        0.000863111,
        0.000863111,
        0.000863111,
        0.000863111,
        0.000867373,
        0.000867373,
        0.000867373,
        0.000867373,
        0.000867373,
        0.000931427,
        0.000863111,
        0.000863111,
        0.000863111,
        0.000847278,
        0.000811328,
        0.000811328,
        0.000811328,
        0.000847278,
        0.00101675,
        0.00101675,
        0.00101977,
        0.00101675,
        0.000898251,
        0.000898251,
        0.000847278,
        0.000847278,
        0.000847278,
        0.000898251,
        0.00101675,
        0.00101675,
        0.00101675,
        0.00101675,
        0.00101977,
        0.00106587,
        0.00101977,
        0.00101675,
        0.00101675,
        0.00101675,
        0.00101778,
        0.00101977,
        0.00101977,
        0.00101977,
        0.00101977,
        0.00101977,
        0.00101977,
        0.00105231,
        0.00105231,
        0.00105231,
        0.00105231,
        0.00105231,
        0.00105231,
        0.00101778,
        0.00102275,
        0.00103047,
        0.00102275,
        0.00102275,
        0.00102275,
        0.00102275,
        0.00102275,
        0.00102275,
        0.00102917,
        0.00102917,
        0.00102917,
        0.00102917,
        0.00102275,
        0.00102275,
        0.00102275,
        0.00102917,
        0.00103047,
        0.00103047,
        0.00103047,
        0.00103047,
        0.00103047,
        0.00106686,
        0.00108121,
        0.00109371,
        0.00108121,
        0.00108121,
        0.00106686,
        0.00103047,
        0.00103047,
        0.00103047,
        0.00103047,
        0.00106686,
        0.00108121,
        0.00109371,
        0.00109729,
        0.00109729,
        0.00109729,
        0.00109371,
        0.00109371,
        0.00109371,
        0.00108121,
        0.00107371,
        0.00106686,
        0.00106686,
        0.00106686,
        0.00106686,
        0.00106686,
        0.00102369,
        0.00102369,
        0.00102369,
        0.000987676,
        0.000987676,
        0.000984747,
        0.000940531,
        0.000940531,
        0.000984747,
        0.000987676,
        0.00101903,
        0.00107371,
        0.0011094,
        0.0011353,
        0.00117551,
        0.0011353,
        0.00112946,
        0.0011353,
        0.0011353,
        0.0011353,
        0.0011353,
        0.0011353,
        0.0011353,
        0.00112946,
        0.00112946,
        0.00112946,
        0.00112946,
        0.00112946,
        0.0011353,
        0.0011353,
        0.00112946,
        0.00112946,
        0.00111398,
        0.00102222,
        0.00102222,
        0.00102222,
        0.00102222,
        0.00102222,
        0.00102222,
        0.00102222,
        0.00102222,
        0.00102222,
        0.00102222,
        0.00102222,
        0.00102222,
        0.000958233,
        0.000952293,
        0.000842392,
        0.000842392,
        0.000842392,
        0.000841118,
        0.00083435,
        0.000841118,
        0.000841118,
        0.000888651,
        0.000919586,
        0.000952293,
        0.000952293,
        0.000919586,
        0.000888651,
        0.000919586,
        0.000952293,
        0.000919586,
        0.000888651,
        0.000888651,
        0.000919586,
        0.000919586,
        0.000953357,
        0.000966569,
        0.000966569,
        0.000966569,
        0.000966569,
        0.000953357,
        0.000919586,
        0.000919586,
        0.000919186,
        0.000919586,
        0.000919586,
        0.000919586,
        0.000919586,
        0.000919186,
        0.000919186,
        0.000953357,
        0.000919186,
        0.000825307,
        0.000801749,
        0.000799279,
        0.000737281,
        0.000737281,
        0.000737281,
        0.000737281,
        0.000670226,
        0.000665179,
        0.000670226,
        0.000670226,
        0.000799279,
        0.000799279,
        0.000801749,
        0.000801749,
        0.000801749,
        0.000801644,
        0.000801644,
        0.000799279,
        0.000744401,
        0.000799279,
        0.000744401,
        0.000670226,
        0.000665179,
        0.000665179,
        0.000670226,
        0.000670226,
        0.000670226,
        0.000665179,
        0.000637511,
        0.000665179,
        0.000670226,
        0.000708275,
        0.000708275,
        0.000708275,
        0.000708275,
        0.000708275,
        0.000708275,
        0.000708453,
        0.000744401,
        0.000744401,
        0.000708453,
        0.000708275,
        0.000702186,
        0.000669485,
        0.000645935,
        0.000637511,
        0.000637511,
        0.000637511,
        0.000637511,
        0.000637511,
        0.000637511,
        0.000645935,
        0.000669485,
        0.000702186,
        0.000702186,
        0.000702186,
        0.000708275,
        0.000708453,
        0.000708453,
        0.000731105,
        0.000731105,
        0.000731105,
        0.000702186,
        0.000702186,
        0.000702186,
        0.000731105,
        0.000731105,
        0.000778002,
        0.000778002,
        0.000778002,
        0.000778002,
        0.000870564,
        0.000870564,
        0.000951652,
        0.000951652,
        0.000972439,
        0.000972439,
        0.000972439,
        0.000972439,
        0.000972439,
        0.000951652,
        0.000951652,
        0.000951652,
        0.000948005,
        0.000935399,
        0.000918724,
        0.000918724,
        0.000901273,
        0.000901273,
        0.000918724,
        0.000901273,
        0.000918724,
        0.000918724,
        0.000918724,
        0.000918724,
        0.000918724,
        0.000901273,
        0.000918724,
        0.000918724,
        0.000918724,
        0.000918724,
        0.000901273,
        0.000901273,
        0.000916501,
        0.000916501,
        0.000901273,
        0.000901273,
        0.000901273,
        0.000916501,
        0.000926454,
        0.000926454,
        0.000931569,
        0.000935399,
        0.000935399,
        0.000931569,
        0.000980866,
        0.000980866,
        0.000931569,
        0.000931569,
        0.000926454,
        0.000916501,
        0.000916501,
        0.000916501,
        0.000926454,
        0.000926454,
        0.000926581,
        0.000931569,
        0.00100097,
        0.00100097,
        0.000931569,
        0.000927244,
        0.000926581,
        0.000926581,
        0.000926581,
        0.000926581,
        0.000926581,
        0.000927244,
        0.000952877,
        0.000952877,
        0.000952877,
        0.000952877,
        0.00100097,
        0.000952877,
        0.000927244,
        0.000926581,
        0.000926581,
        0.000911528,
        0.000911528,
        0.000926581,
        0.000927244,
        0.000952877,
        0.0010606,
        0.0010755,
        0.0010715,
        0.0010715,
        0.0010755,
        0.00114544,
        0.0010755,
        0.0010715,
        0.0010715,
        0.0010715,
        0.0010755,
        0.0010755,
        0.0010755,
        0.00111642,
        0.00114544,
        0.00115656,
        0.00118743,
        0.00114544,
        0.00111642,
        0.0010715,
        0.000924288,
        0.000911528,
        0.000911528,
        0.000911528,
        0.000924288,
        0.000924288,
        0.000924288,
        0.00100238,
        0.00100238,
        0.000924288,
        0.000924288,
        0.000924288,
        0.000924288,
        0.000865953,
        0.000864045,
        0.000852803,
        0.000852803,
        0.000852803,
        0.000852803,
        0.000826893,
        0.000852803,
        0.000826893,
        0.000826893,
        0.000852803,
        0.000852803,
        0.000852803,
        0.000852803,
        0.000826893,
        0.000826893,
        0.000796951,
        0.000796951,
        0.000826893,
        0.000826893,
        0.000864045,
        0.000865953,
        0.000865953,
        0.000871174,
        0.000871174,
        0.000871174,
        0.000865953,
        0.000871174,
        0.000871174,
        0.000871174,
        0.000796951,
        0.000796951,
        0.000871174,
        0.000900016,
        0.000900016,
        0.000900016,
        0.000900016,
        0.000900016,
        0.000866115,
        0.000900016,
        0.000900016,
        0.000866115,
        0.000866115,
        0.000866115,
        0.000792643,
        0.000792643,
        0.000866115,
        0.000866115,
        0.000900016,
        0.000900016,
        0.000933694,
        0.000933694,
        0.000933694,
        0.000933694,
        0.000866115,
        0.000866115,
        0.000817558,
        0.000866115,
        0.000817558,
        0.000817558,
        0.000817558,
        0.000854117,
        0.000866115,
        0.000866115,
        0.000866115,
        0.000866115,
        0.000923218,
        0.000933694,
        0.000933694,
        0.000933694,
        0.000923218,
        0.000923218,
        0.000923218,
        0.000903618,
        0.000903618,
        0.000923218,
        0.000934389,
        0.000934389,
        0.000934389,
        0.000934389,
        0.000934389,
        0.000934389,
        0.000934389,
        0.000934389,
        0.000963339,
        0.000963339,
        0.000979236,
        0.000996158,
        0.00101385,
        0.00110925,
        0.00110925,
        0.00110925,
        0.0011232,
        0.0011232,
        0.0011232,
        0.0011232,
        0.00112333,
        0.00115906,
        0.00120872,
        0.00120931,
        0.00120931,
        0.00120931,
        0.00120931,
        0.00120931,
        0.00122091,
        0.00125648,
        0.00125648,
        0.00125648,
        0.00125648,
        0.00128019,
        0.00128019,
        0.00125648,
        0.00122091,
        0.00122091,
        0.00122091,
        0.00122091,
        0.00122091,
        0.00125648,
        0.00128019,
        0.00129675,
        0.00131952,
        0.00131952,
        0.00133796,
        0.00133796,
        0.00131952,
        0.00129675,
        0.00129675,
        0.00129675,
        0.00128019,
        0.00127623,
        0.001174,
        0.00127623,
        0.00128019,
        0.00128019,
        0.00128019,
        0.00127623,
        0.00127623,
        0.00127623,
        0.00127623,
        0.00127623,
        0.00127623,
        0.00130538,
        0.00130538,
        0.00130538,
        0.00127623,
        0.00118908,
        0.00118908,
        0.00127623,
        0.00118908,
        0.0011786,
        0.001174,
        0.001174,
        0.0011786,
        0.0011786,
        0.001174,
        0.00116211,
        0.00116165,
        0.00116165,
        0.00116165,
        0.00116211,
        0.0011786,
        0.0011786,
        0.0011786,
        0.0011786,
        0.0011786,
        0.00118908,
        0.00119276,
        0.00118908,
        0.0011786,
        0.00116211,
        0.00116165,
        0.00116165,
        0.00116165,
        0.00116165,
        0.00116211,
        0.00116211,
        0.00116211,
        0.00116211,
        0.00116165,
        0.00116211,
        0.00116211,
        0.00116165,
        0.00112196,
        0.00112196,
        0.00112196,
        0.00116165,
        0.00119276,
        0.00123538,
        0.00126487,
        0.00126487,
        0.00123538,
        0.00119276,
        0.00123538,
        0.00123538,
        0.00119276,
        0.00123538,
        0.00123538,
        0.00126487,
        0.00126487,
        0.00126487,
        0.00126487,
        0.00126487,
        0.00126487,
        0.00126487,
        0.00128137,
        0.00128137,
        0.00131187,
        0.00131187,
        0.00131187,
        0.00131187,
        0.00131187,
        0.00131187,
        0.00136847,
        0.0013773,
        0.00136847,
        0.00134678,
        0.00131187,
        0.00126815,
        0.00126815,
        0.00126815,
        0.00128112,
        0.00131187,
        0.00131187,
        0.00131187,
        0.00128112,
        0.00128112,
        0.00128112,
        0.00126815,
        0.00125389,
        0.00126815,
        0.00128112,
        0.00134678,
        0.00134678,
        0.00128112,
        0.00126815,
        0.00125389,
        0.00124981,
        0.00123971,
        0.00123971,
        0.00124981,
        0.00124981,
        0.00124981,
        0.00124981,
        0.00123971,
        0.00119383,
        0.00123971,
        0.00123971,
        0.00123971,
        0.00123971,
        0.00123971,
        0.00121252,
        0.00121252,
        0.00121252,
        0.00121252,
        0.00119383,
        0.00112264,
        0.00107338,
        0.00107338,
        0.00107338,
        0.00112264,
        0.00112264,
        0.00112264,
        0.00107472,
        0.00112264,
        0.00113233,
        0.00113233,
        0.00113233,
        0.00113233,
        0.00121252,
        0.00121252,
        0.00114847,
        0.00121252,
        0.00121252,
        0.00121252,
        0.00121252,
        0.00121252,
        0.00114847,
        0.00113233,
        0.00113233,
        0.00113233,
        0.00113233,
        0.00114847,
        0.00114847,
        0.00114847,
        0.00120951,
        0.00120951,
        0.00120951,
        0.00120951,
        0.00120951,
        0.00114847,
        0.00110933,
        0.00110933,
        0.00107472,
        0.00110933,
        0.00105045,
        0.00105045,
        0.00101204,
        0.00110933,
        0.00110933,
        0.00101204,
        0.000993853,
        0.000970914,
        0.000963365,
        0.000963365,
        0.000963365,
        0.000970914,
        0.000970914,
        0.000972293,
        0.000972293,
        0.000970914,
        0.000855563,
        0.000825181,
        0.000825181,
        0.000825181,
        0.000825181,
        0.000825181,
        0.000855563,
        0.000855563,
        0.000855563,
        0.000972293,
        0.000993853,
        0.00100829,
        0.00100829,
        0.00100829,
        0.000993853,
        0.00100829,
        0.00100829,
        0.000984973,
        0.000984973,
        0.00100829,
        0.00104831,
        0.0011979,
        0.0011979,
        0.00123703,
        0.00124173,
        0.00129273,
        0.00129273,
        0.00129273,
        0.0013187,
        0.00135814,
        0.00137361,
        0.00137361,
        0.00137361,
        0.00137361,
        0.00137361,
        0.00137361,
        0.00137361,
        0.00135814,
        0.00137361,
        0.00139733,
        0.00137361,
        0.00137361,
        0.00137361,
        0.00135689,
        0.00135689,
        0.00135689,
        0.00135689,
        0.0013187,
        0.00135689,
        0.0013187,
        0.00130135,
        0.0013187,
        0.0013187,
        0.00133077,
        0.00133077,
        0.00135689,
        0.00135689,
        0.00135689,
        0.00135689,
        0.00135689,
        0.00133077,
        0.00130135,
        0.00133077,
        0.00135689,
        0.00139454,
        0.00139454,
        0.00138728,
        0.00138728,
        0.00139454,
        0.00139454,
        0.00139454,
        0.00139454,
        0.00138728,
        0.00139454,
        0.00155834,
        0.00155834,
        0.00155834,
        0.00155834,
        0.00155834,
        0.00139454,
        0.0013958,
        0.0013958,
        0.0013958,
        0.0013958,
        0.00139454,
        0.00138728,
        0.00132323,
        0.00132323,
        0.00132323,
        0.00138728,
        0.00132323,
        0.00138728,
        0.00138728,
        0.00138728,
        0.00132323,
        0.00130542,
        0.00128626,
        0.00128626,
        0.00128455,
        0.00128455,
        0.00125621,
        0.00125621,
        0.00128455,
        0.00125621,
        0.00124903,
        0.00115332,
        0.00115332,
        0.00115332,
        0.00113036,
        0.00113036,
        0.00115332,
        0.00115332,
        0.00123026,
        0.00124903,
        0.00123909,
        0.00124903,
        0.00128455,
        0.00130542,
        0.00130542,
        0.00130542,
        0.00124903,
        0.00123909,
        0.00123026,
        0.00123026,
        0.00113036,
        0.00113036,
        0.00113036,
        0.00113036,
        0.00113036,
        0.00113036,
        0.00113036,
        0.00113894,
        0.00113894,
        0.00113036,
        0.00113894,
        0.00114559,
        0.00115612,
        0.00114559,
        0.00114559,
        0.00114559,
        0.00115612,
        0.00115612,
        0.00115612,
        0.00115612,
        0.00114559,
        0.00114559,
        0.00114559,
        0.00114559,
        0.00114559,
        0.00114559,
        0.00115612,
        0.00121041,
        0.00121041,
        0.00125792,
        0.00125792,
        0.00125792,
        0.00125792,
        0.00121041,
        0.00121041,
        0.00125792,
        0.00125792,
        0.00121041,
        0.00117382,
        0.00117382,
        0.00117382,
        0.00117382,
        0.00115764,
        0.00115273,
        0.00115764,
        0.00115764,
        0.00115764,
        0.00115273,
        0.00104438,
        0.000961304,
        0.000961304,
        0.000989339,
        0.000989339,
        0.000961304,
        0.000961304,
        0.000960303,
        0.000960303,
        0.000960303,
        0.000960303,
        0.000960303,
        0.000960303,
        0.000960303,
        0.000961304,
        0.000960303,
        0.000961304,
        0.000960303,
        0.000927981,
        0.000911554,
        0.000927981,
        0.000960303,
        0.000960303,
        0.000960303,
        0.000960303,
        0.000989339,
        0.000996638,
        0.000996638,
        0.000996638,
        0.00102696,
        0.00103123,
        0.00103123,
        0.00103123,
        0.00102696,
        0.00102696,
        0.000996638,
        0.00102696,
        0.00102696,
        0.00102696,
        0.00100721,
        0.000996638,
        0.000996638,
        0.000996638,
        0.000996638,
        0.00100721,
        0.00100721,
        0.00103123,
        0.00103123,
        0.00103123,
        0.00105552,
        0.00109411,
        0.00109411,
        0.00109411,
        0.00112487,
        0.00112487,
        0.00112487,
        0.00112487,
        0.00121062,
        0.00121062,
        0.00121062,
        0.00121062,
        0.00121325,
        0.00122574,
        0.00122574,
        0.00122574,
        0.00122574,
        0.00122574,
        0.00122592,
        0.00122574,
        0.00122574,
        0.00122574,
        0.00122574,
        0.00122574,
        0.00121325,
        0.00121325,
        0.00109411,
        0.00109195,
        0.00109036,
        0.00103196,
        0.00109036,
        0.00103196,
        0.00103139,
        0.00103139,
        0.00103139,
        0.00101526,
        0.000984204,
        0.000984204,
        0.00101526,
        0.000984204,
        0.000914638,
        0.000906596,
        0.000850798,
        0.00078243,
        0.000745777,
        0.00078243,
        0.00078243,
        0.000745777,
        0.000745777,
        0.000745777,
        0.000745777,
        0.000745777,
        0.000687275,
        0.000607148,
        0.000607148,
        0.000607148,
        0.00058042,
        0.00058042,
        0.00058042,
        0.000604615,
        0.000745777,
        0.000745777,
        0.000745777,
        0.000816152,
        0.000816152,
        0.000816152,
        0.000850798,
        0.000902494,
        0.000902494,
        0.000816152,
        0.000902494,
        0.000906469,
        0.000906469,
        0.000994499,
        0.00107201,
        0.00111879,
        0.00114157,
        0.00115281,
        0.00117899,
        0.00120881,
        0.00120881,
        0.00120881,
        0.00120881,
        0.00122962,
        0.00123179,
        0.00124605,
        0.00128362,
        0.00128362,
        0.00128362,
        0.00128362,
        0.00124605,
        0.00123179,
        0.00123179,
        0.00122962,
        0.00122962,
        0.00122962,
        0.00120881,
        0.00117899,
        0.00115771,
        0.00115771,
        0.00115771,
        0.00115281,
        0.00115281,
        0.00115281,
        0.00108673,
        0.000934271,
        0.000925918,
        0.000872175,
        0.000834957,
        0.000818451,
        0.000797999,
        0.000758299,
        0.000753744,
        0.000753744,
        0.000735368,
        0.000735368,
        0.000735368,
        0.000678789,
        0.000669686,
        0.000669686,
        0.000669686,
        0.000668609,
        0.000669686,
        0.000669686,
        0.000669686,
        0.000669686,
        0.000669686,
        0.000678789,
        0.000678789,
        0.000655782,
        0.000655782,
        0.000655782,
        0.000655782,
        0.000655782,
        0.000655782,
        0.000678789,
        0.000655782,
        0.000678789,
        0.000708053,
        0.000736389,
        0.000762526,
        0.000765644,
        0.000765644,
        0.000773786,
        0.000789767,
        0.000791455,
        0.000791455,
        0.000791455,
        0.000791455,
        0.000808302,
        0.000808302,
        0.000808302,
        0.000812612,
        0.000870019,
        0.000899586,
        0.00105053,
        0.00116915,
        0.00116915,
        0.00118296,
        0.00118296,
        0.00118296,
        0.00119377,
        0.00121341,
        0.0012266,
        0.00125445,
        0.00125445,
        0.0012266,
        0.00125445,
        0.00127283,
        0.00127283,
        0.0012266,
        0.0012266,
        0.00121341,
        0.00121341,
        0.0012266,
        0.00121341,
        0.00121341,
        0.00127283,
        0.00127283,
        0.00127283,
        0.00121584,
        0.00121341,
        0.00118296,
        0.00118232,
        0.00116915,
        0.0011605,
        0.0011605,
        0.0011564,
        0.0011605,
        0.0011605,
        0.0011605,
        0.00118232,
        0.00118232,
        0.0011605,
        0.0011564,
        0.00113909,
        0.00113909,
        0.00112915,
        0.00108573,
        0.00108573,
        0.00106525,
        0.00108573,
        0.00106525,
        0.00106525,
        0.00108573,
        0.00105205,
        0.00101755,
        0.000988764,
        0.000979214,
        0.000958836,
        0.000958836,
        0.000851627,
        0.000851627,
        0.000851627,
        0.000851627,
        0.000851627,
        0.000851627,
        0.000851627,
        0.000870524,
        0.000870524,
        0.000870524,
        0.000851627,
        0.000840502,
        0.000837237,
        0.000801582,
        0.000747589,
        0.000801582,
        0.000801582,
        0.000801582,
        0.000743658,
        0.000741743,
        0.000741743,
        0.000719825,
        0.000719825,
        0.000741743,
        0.000719825,
        0.000719825,
        0.000692679,
        0.000692679,
        0.000689468,
        0.000689468,
        0.000719825,
        0.000689468,
        0.000685643,
        0.000685643,
        0.000663607,
        0.000685643,
        0.000663607,
        0.00065778,
        0.00065778,
        0.00065778,
        0.00065778,
        0.000663607,
        0.000685643,
        0.000685643,
        0.000689468,
        0.000685643,
        0.000663607,
        0.000623773,
        0.000621997,
        0.000582082,
        0.000621997,
        0.000623773,
        0.000663607,
        0.000663607,
        0.000663607,
        0.000718339,
        0.000718339,
        0.000721979,
        0.000751579,
        0.000756412,
        0.000756412,
        0.000751579,
        0.000758411,
        0.000796515,
        0.000758411,
        0.000796515,
        0.000819267,
        0.000877338,
        0.000882629,
        0.000882629,
        0.000877338,
        0.000819267,
        0.000819267,
        0.000819267,
        0.000869665,
        0.000869665,
        0.000877338,
        0.000882629,
        0.000953859,
        0.000975269,
        0.000996161,
        0.00100868,
        0.00101754,
        0.00108122,
        0.00111362,
        0.00101754,
        0.00101754,
        0.00111362,
        0.00111362,
        0.00114436,
        0.00114436,
        0.00116234,
        0.00120529,
        0.00121783,
        0.00120529,
        0.00121783,
        0.00121783,
        0.00121783,
        0.00121783,
        0.00121783,
        0.00123154,
        0.00125153,
        0.00125153,
        0.00125153,
        0.00126511,
        0.00126511,
        0.00126511,
        0.00127664,
        0.00127664,
        0.00126511,
        0.00126511,
        0.00125153,
        0.00123154,
        0.00118052,
        0.00116234,
        0.00116024,
        0.00116024,
        0.00105997,
        0.00102872,
        0.00105997,
        0.00105997,
        0.00105997,
        0.00102872,
        0.00100824,
        0.000998106,
        0.000998106,
        0.000991616,
        0.000991616,
        0.000998106,
        0.000998106,
        0.00100824,
        0.000998106,
        0.000998106,
        0.000998106,
        0.000998106,
        0.000991616,
        0.000991616,
        0.000991616,
        0.000989542,
        0.00098363,
        0.000981503,
        0.000971964,
        0.000971964,
        0.000971964,
        0.000971964,
        0.000913261,
        0.000896958,
        0.000896958,
        0.000889273,
        0.000889273,
        0.000889273,
        0.000818653,
        0.000818653,
        0.000889273,
        0.000818653,
        0.000754252,
        0.000724355,
        0.000754252,
        0.000724355,
        0.00069676,
        0.000685368,
        0.000685368,
        0.000685368,
        0.000685368,
        0.000685368,
        0.000685368,
        0.000685368,
        0.000685368,
        0.00061855,
        0.00061855,
        0.000685368,
        0.00069676,
        0.000685368,
        0.000685368,
        0.00069676,
        0.000685368,
        0.00069676,
        0.000706229,
        0.000854459,
        0.000871104,
        0.000871104,
        0.000854459,
        0.000854459,
        0.000854459,
        0.000854459,
        0.000871104,
        0.000901099,
        0.000901099,
        0.000896502,
        0.000896502,
        0.000896502,
        0.000896502,
        0.000871104,
        0.000854459,
        0.000854459,
        0.000816195,
        0.000815902,
        0.000815902,
        0.000738671,
        0.000738671,
        0.000738671,
        0.000706229,
        0.000738671,
        0.000815902,
        0.000815902,
        0.000815902,
        0.000815902,
        0.000738671,
        0.000738671,
        0.000702926,
        0.000702926,
        0.000702926,
        0.000738671,
        0.000815902,
        0.000815902,
        0.000738671,
        0.000702926,
        0.000642221,
        0.000636395,
        0.000594121,
        0.000636395,
        0.000594121,
        0.0005894,
        0.0005894,
        0.0005894,
        0.0005894,
        0.000594121,
        0.000809607,
        0.000847577,
        0.000847577,
        0.000855978,
        0.000887373,
        0.000888153,
        0.000905845,
        0.000905845,
        0.000888153,
        0.000855978,
        0.000855978,
        0.000855978,
        0.000847577,
        0.000855978,
        0.000847577,
        0.000812319,
        0.000809607,
        0.000809607,
        0.000756598,
        0.000756598,
        0.000756598,
        0.000809607,
        0.000812319,
        0.000888153,
        0.000812319,
        0.000905845,
        0.000911374,
        0.000905845,
        0.000905845,
        0.000879323,
        0.000905845,
        0.000905845,
        0.000879323,
        0.000905845,
        0.000905845,
        0.000905845,
        0.000905845,
        0.000879323,
        0.000851962,
        0.000851962,
        0.000851962,
        0.000851962,
        0.000851962,
        0.000879323,
        0.000851962,
        0.000879323,
        0.000879323,
        0.000879323,
        0.000851962,
        0.000851962,
        0.000851962,
        0.000851962,
        0.000824004,
        0.000822827,
        0.000822827,
        0.000824004,
        0.000824004,
        0.000822827,
        0.000801668,
        0.000801668,
        0.000801668,
        0.000801668,
        0.000796277,
        0.000796277,
        0.000796277,
        0.000796277,
        0.000796277,
        0.000787281,
        0.000751965,
        0.000707937,
        0.000787281,
        0.000787281,
        0.000796277,
        0.000801668,
        0.000801668,
        0.000833454,
        0.000801668,
        0.000818426,
        0.000833454,
        0.000893392,
        0.00090675,
        0.00090675,
        0.00090675,
        0.000924762,
        0.000938013,
        0.000924762,
        0.000924762,
        0.000924762,
        0.000938013,
        0.000950429,
        0.000950429,
        0.000993974,
        0.000993974,
        0.00110609,
        0.00110609,
        0.0011084,
        0.0011084,
        0.0011084,
        0.0011084,
        0.0011084,
        0.0011084,
        0.0011084,
        0.00110609,
        0.00105412,
        0.000993974,
        0.000950429,
        0.000950429,
        0.000950429,
        0.000993974,
        0.00105412,
        0.00105412,
        0.00105412,
        0.00110609,
        0.00110609,
        0.00105412,
        0.000993974,
        0.00105412,
        0.000993974,
        0.000993974,
        0.000885881,
        0.000881908,
        0.000826999,
        0.000826999,
        0.000826999,
        0.000826999,
        0.000826999,
        0.000826999,
        0.000826999,
        0.000826999,
        0.000826999,
        0.000881908,
        0.000881908,
        0.000885881,
        0.000955906,
        0.000982026,
        0.000982026,
        0.000982026,
        0.000982026,
        0.00104686,
        0.00104686,
        0.00104686,
        0.00104686,
        0.000982026,
        0.000955906,
        0.000955906,
        0.000955906,
        0.000955906,
        0.000885881,
        0.000846459,
        0.000846459,
        0.000846459,
        0.000846459,
        0.000846459,
        0.000836215,
        0.000816537,
        0.000794376,
        0.000764369,
        0.000736924,
        0.000736924,
        0.000736924,
        0.000736924,
        0.000720335,
        0.000715611,
        0.000704153,
        0.000704153,
        0.000704153,
        0.000715611,
        0.000715611,
        0.000709499,
        0.000709499,
        0.000709499,
        0.000709499,
        0.000709499,
        0.000715611,
        0.000715611,
        0.000715611,
        0.000715611,
        0.000715611,
        0.000709499,
        0.000704153,
        0.000686699,
        0.000655151,
        0.000618473,
        0.000614459,
        0.000614459,
        0.000614459,
        0.000595872,
        0.000614459,
        0.000618473,
        0.000618473,
        0.000618473,
        0.000619019,
        0.000619019,
        0.000619019,
        0.000619019,
        0.000619019,
        0.000618473,
        0.000614459,
        0.000614459,
        0.000582556,
        0.000582556,
        0.000582556,
        0.000582556,
        0.000582556,
        0.000582556,
        0.000614459,
        0.000619019,
        0.000622048,
        0.000619019,
        0.000619019,
        0.000622048,
        0.000622048,
        0.000664961,
        0.000664961,
        0.000664961,
        0.000664961,
        0.000666702,
        0.000668324,
        0.000668324,
        0.000668324,
        0.000666702,
        0.000666702,
        0.000668324,
        0.000668324,
        0.000668324,
        0.000668324,
        0.000668324,
        0.000668414,
        0.000676286,
        0.000684856,
        0.000706032,
        0.000706032,
        0.000684856,
        0.000684856,
        0.000706032,
        0.000697707,
        0.000706032,
        0.000697707,
        0.000697707,
        0.000697707,
        0.000697707,
        0.000684856,
        0.000697707,
        0.000697707,
        0.000706032,
        0.000726444,
        0.000762505,
        0.000762505,
        0.000762505,
        0.000762505,
        0.000762505,
        0.000773,
        0.000773,
        0.000773,
        0.000762505,
        0.000791169,
        0.000792907,
        0.000791169,
        0.000791169,
        0.000791169,
        0.000791169,
        0.000791169,
        0.000792907,
        0.000792907,
        0.000792907,
        0.000792907,
        0.000792907,
        0.000817601,
        0.000880251,
        0.000893151,
        0.000946145,
        0.000951346,
        0.00100057,
        0.00100493,
        0.00100493,
        0.00100493,
        0.00100493,
        0.00100493,
        0.00100493,
        0.00100493,
        0.00103643,
        0.00103643,
        0.00103643,
        0.00103137,
        0.00103137,
        0.00103643,
        0.00103643,
        0.00103643,
        0.00103643,
        0.00103643,
        0.00103137,
        0.00103137,
        0.00103137,
        0.00103137,
        0.00103137,
        0.00100057,
        0.000946072,
        0.00100057,
        0.000946072,
        0.000946072,
        0.00092563,
        0.00092563,
        0.000918151,
        0.000918151,
        0.000918151,
        0.00092563,
        0.000946072,
        0.000946072,
        0.000946072,
        0.000946072,
        0.00103137,
        0.000946072,
        0.000946072,
        0.000946072,
        0.000953625,
        0.000946072,
        0.000946072,
        0.000918151,
        0.000871549,
        0.000820876,
        0.00081115,
        0.00081115,
        0.00081115,
        0.00081115,
        0.00081115,
        0.00081115,
        0.00081115,
        0.00081115,
        0.000795515,
        0.000753447,
        0.000753447,
        0.000753447,
        0.000753447,
        0.000795515,
        0.000795515,
        0.000795515,
        0.000795515,
        0.000753447,
        0.00071025,
        0.00071025,
        0.000753447,
        0.000753447,
        0.000753447,
        0.00071025,
        0.000684149,
        0.000660445,
        0.000660445,
        0.000656594,
        0.000656594,
        0.000656594,
        0.000656154,
        0.000656154,
        0.000656594,
        0.000660445,
        0.000660445,
        0.000660445,
        0.000739055,
        0.000739055,
        0.00072901,
        0.000739055,
        0.00075596,
        0.00075596,
        0.00075596,
        0.000739055,
        0.00072901,
        0.000660445,
        0.000652447,
        0.000644149,
        0.000644149,
        0.000660445,
        0.000660445,
        0.000660445,
        0.000644149,
        0.000644149,
        0.00072901,
        0.000739055,
        0.00075596,
        0.00075596,
        0.00075596,
        0.000785939,
        0.000785939,
        0.000785939,
        0.000819381,
        0.000819381,
        0.000819381,
        0.000819381,
        0.000819381,
        0.000819381,
        0.000819381,
        0.000858884,
        0.000858884,
        0.000858884,
        0.000858884,
        0.000871014,
        0.000871014,
        0.000937206,
        0.00096014,
        0.00096014,
        0.00101166,
        0.00101166,
        0.00101166,
        0.00096014,
        0.00094301,
        0.00094301,
        0.000937206,
        0.000928479,
        0.000928479,
        0.000858884,
        0.000841405,
        0.000841405,
        0.000841405,
        0.00080734,
        0.00080734,
        0.000760963,
        0.000760963,
        0.00080734,
        0.00080734,
        0.000841405,
        0.000841405,
        0.000841405,
        0.00080734,
        0.000798263,
        0.000798263,
        0.000798263,
        0.000798263,
        0.000798263,
        0.000771406,
        0.000771406,
        0.000767076,
        0.000767076,
        0.000760963,
        0.000759432,
        0.000759432,
        0.000759432,
        0.000767076,
        0.000771406,
        0.000791,
        0.000791,
        0.000771406,
        0.00078586,
        0.00078586,
        0.000771406,
        0.00078586,
        0.000791,
        0.000791,
        0.00078586,
        0.00078586,
        0.000791,
        0.000791,
        0.00078586,
        0.000791,
        0.000806102,
        0.00084355,
        0.00084355,
        0.00084355,
        0.00084355,
        0.000862551,
        0.000890605,
        0.000890605,
        0.000890605,
        0.000890605,
        0.000890605,
        0.000890605,
        0.000890605,
        0.000862551,
        0.000890605,
        0.000890605,
        0.00089716,
        0.000927868,
        0.00093257,
        0.000955195,
        0.000955195,
        0.00101904,
        0.00101904,
        0.00101904,
        0.00105005,
        0.00105005,
        0.00105005,
        0.0011007,
        0.0011007,
        0.0011007,
        0.0011007,
        0.00105005,
        0.00104885,
        0.00101904,
        0.00093257,
        0.000907811,
        0.000907811,
        0.00090379,
        0.000860396,
        0.000822801,
        0.000826834,
        0.000826834,
        0.00090379,
        0.000826834,
        0.000826834,
        0.000822801,
        0.000822801,
        0.000822801,
        0.000788823,
        0.000775871,
        0.000775871,
        0.000775871,
        0.000772198,
        0.000772198,
        0.000772198,
        0.000772198,
        0.000772198,
        0.000750652,
        0.000750652,
        0.000772198,
        0.000750652,
        0.000750652,
        0.000772198,
        0.000750652,
        0.000772198,
        0.000772198,
        0.000775871,
        0.000815015,
        0.000815015,
        0.000822801,
        0.000825978,
        0.000825978,
        0.000879324,
        0.000825978,
        0.000825978,
        0.000825978,
        0.000825978,
        0.000879324,
        0.000879324,
        0.000879324,
        0.000887758,
        0.000887758,
        0.000887758,
        0.000929315,
        0.000929315,
        0.000887758,
        0.000879324,
        0.000849724,
        0.000849724,
        0.000847667,
        0.000815015,
        0.000847667,
        0.000815015,
        0.000815015,
        0.000815015,
        0.000814914,
        0.000814914,
        0.000814655,
        0.000814655,
        0.000809247,
        0.000802453,
        0.000796878,
        0.000796878,
        0.000784288,
        0.000784288,
        0.000784288,
        0.000784288,
        0.000784288,
        0.000750532,
        0.000750532,
        0.00073455,
        0.00073455,
        0.00073455,
        0.00073455,
        0.000710062,
        0.000710062,
        0.000710062,
        0.000703454,
        0.000703454,
        0.000698607,
        0.000697128,
        0.000692153,
        0.00066677,
        0.00066677,
        0.00066677,
        0.00066677,
        0.00066677,
        0.000668992,
        0.000692153,
        0.000668992,
        0.000692153,
        0.000692153,
        0.000692153,
        0.000692153,
        0.000697128,
        0.000697128,
        0.000698607,
        0.000701157,
        0.000701157,
        0.000701579,
        0.000701579,
        0.000709595,
        0.000709595,
        0.000701579,
        0.000701157,
        0.000701157,
        0.000701579,
        0.000701579,
        0.000701579,
        0.000701157,
        0.000701157,
        0.000701579,
        0.000712847,
        0.000733333,
        0.000731403,
        0.000712847,
        0.000712847,
        0.000731403,
        0.000733333,
        0.000739661,
        0.000753416,
        0.000739661,
        0.000731403,
        0.000731403,
        0.000739661,
        0.000731403,
        0.000739661,
        0.000753416,
        0.000762034,
        0.000928318,
        0.000964059,
        0.000928318,
        0.000928318,
        0.000888304,
        0.000921803,
        0.000921803,
        0.000928318,
        0.000928318,
        0.000928318,
        0.000928318,
        0.000964059,
        0.00104116,
        0.00104116,
        0.000964059,
        0.000964059,
        0.00104116,
        0.00106025,
        0.00106025,
        0.00104116,
        0.00104116,
        0.00104116,
        0.00104116,
        0.00104116,
        0.00106025,
        0.00108071,
        0.00106025,
        0.00106025,
        0.00104116,
        0.00101195,
        0.00101195,
        0.00101195,
        0.000977313,
        0.000977313,
        0.000946094,
        0.000977313,
        0.00101195,
        0.00104116,
        0.00104116,
        0.00106962,
        0.00108071,
        0.00108132,
        0.00108071,
        0.00108071,
        0.00108071,
        0.00108132,
        0.00109764,
        0.00109764,
        0.00109957,
        0.00120676,
        0.00121601,
        0.00120676,
        0.00109957,
        0.00109957,
        0.00120676,
        0.00120676,
        0.00120676,
        0.00120676,
        0.00121601,
        0.0012161,
        0.0012161,
        0.0012161,
        0.00121601,
        0.00121601,
        0.0012161,
        0.0012161,
        0.0012161,
        0.0012161,
        0.0012161,
        0.00123123,
        0.0012161,
        0.00110185,
        0.00110185,
        0.00117159,
        0.00117159,
        0.00110185,
        0.00109613,
        0.00101864,
        0.00101864,
        0.00101864,
        0.000995371,
        0.000995371,
        0.00100499,
        0.00101864,
        0.00109613,
        0.00109613,
        0.00110185,
        0.0011479,
        0.00117102,
        0.00117102,
        0.00117102,
        0.00117102,
        0.00117159,
        0.00117159,
        0.00121221,
        0.00117159,
        0.00121221,
        0.00121221,
        0.00121221,
        0.00121221,
        0.00121221,
        0.00121221,
        0.00121221,
        0.00117159,
        0.00121994,
        0.00121994,
        0.00121994,
        0.00121994,
        0.00121994,
        0.00121994,
        0.00118306,
        0.00118306,
        0.00118306,
        0.00121994,
        0.00121994,
        0.00127066,
        0.00121994,
        0.00121994,
        0.00118371,
        0.00118371,
        0.00118371,
        0.00118371,
        0.00118371,
        0.00118371,
        0.00121994,
        0.00121994,
        0.00123568,
        0.00121994,
        0.00123568,
        0.00123568,
        0.00123568,
        0.00121994,
        0.00121994,
        0.00121994,
        0.00121994,
        0.00123568,
        0.00123568,
        0.00123568,
        0.00123568,
        0.00123568,
        0.00123568,
        0.00124491,
        0.0012466,
        0.0012466,
        0.0012466,
        0.00124491,
        0.00124491,
        0.0012466,
        0.0012466,
        0.00129742,
        0.00129742,
        0.00129742,
        0.00129742,
        0.00138802,
        0.00138802,
        0.00138802,
        0.00146324,
        0.00146324,
        0.00146324,
        0.00146324,
        0.00146324,
        0.00146324,
        0.0014869,
        0.00150662,
        0.00161346,
        0.00164182,
        0.00165057,
        0.00166694,
        0.00166694,
        0.00166694,
        0.00166694,
        0.00166694,
        0.00166694,
        0.00165057,
        0.00164182,
        0.00164182,
        0.00164182,
        0.00164182,
        0.00161346,
        0.00146324,
        0.00145084,
        0.00132049,
        0.00129329,
        0.00126614,
        0.00126614,
        0.00126614,
        0.00126614,
        0.00124031,
        0.00126614,
        0.00129329,
        0.00130055,
        0.00130055,
        0.00130055,
        0.00129329,
        0.00126614,
        0.00123694,
        0.00123694,
        0.00123694,
        0.00123694,
        0.00126614,
        0.00129329,
        0.00129329,
        0.00129329,
        0.00129329,
        0.00129329,
        0.00123694,
        0.00118294,
        0.00118294,
        0.00118062,
        0.00118062,
        0.00118062,
        0.00118062,
        0.00118294,
        0.00130055,
        0.00133363,
        0.00133363,
        0.00130055,
        0.00130055,
        0.00133363,
        0.00133363,
        0.00133363,
        0.00140612,
        0.00140612,
        0.00152021,
        0.0015462,
        0.0015462,
        0.00154669,
        0.0015462,
        0.00154669,
        0.0015462,
        0.00152021,
        0.00140612,
        0.00140612,
        0.00140612,
        0.00140612,
        0.00140612,
        0.00140612,
        0.00148922,
        0.00148922,
        0.00148922,
        0.00152021,
        0.00148922,
        0.00140612,
        0.00137089,
        0.00133683,
        0.00133683,
        0.00133683,
        0.00133683,
        0.00129621,
        0.00126189,
        0.00125456,
        0.00122458,
        0.00118277,
        0.00115077,
        0.00105072,
        0.000993777,
        0.000979289,
        0.000957085,
        0.000957085,
        0.000957085,
        0.000899224,
        0.000886309,
        0.000899224,
        0.000881873,
        0.000899224,
        0.000957085,
        0.000957085,
        0.000979289,
        0.000957085,
        0.000899224,
        0.000899224,
        0.000899224,
        0.000899224,
        0.000899224,
        0.000899224,
        0.000881873,
        0.000881873,
        0.000878126,
        0.000878126,
        0.000881873,
        0.000881873,
        0.000899224,
        0.000996188,
        0.00122858,
        0.00122858,
        0.00122858,
        0.00122858,
        0.00122858,
        0.00122858,
        0.00108294,
        0.00108294,
        0.00108294,
        0.00108294,
        0.000996188,
        0.000996188,
        0.00092472,
        0.000881173,
        0.000878126,
        0.000854619,
        0.000854619,
        0.000878126,
        0.000878126,
        0.000878126,
        0.000878126,
        0.000878126,
        0.000881173,
        0.00092472,
        0.00092472,
        0.00092472,
        0.00092472,
        0.00092472,
        0.00108294,
        0.00108294,
        0.00108294,
        0.00108294,
        0.00109161,
        0.00109161,
        0.00118872,
        0.00139841,
        0.00139841,
        0.0014298,
        0.00145773,
        0.0014632,
        0.0014632,
        0.0014743,
        0.0014754,
        0.0014754,
        0.0014754,
        0.0014754,
        0.0014754,
        0.0014754,
        0.0014754,
        0.0014754,
        0.0014743,
        0.0014632,
        0.00145773,
        0.00128074,
        0.00120954,
        0.00120954,
        0.00120954,
        0.00120954,
        0.00118872,
        0.00118872,
        0.00117187,
        0.00117187,
        0.00110731,
        0.00110731,
        0.00110731,
        0.00106267,
        0.00103666,
        0.000972938,
        0.000924941,
        0.00090586,
        0.000858232,
        0.00085813,
        0.000793062,
        0.000793062,
        0.000776836,
        0.000776836,
        0.00075027,
        0.00075027,
        0.000756104,
        0.000776836,
        0.000776836,
        0.000793062,
        0.000827681,
        0.00085813,
        0.00085813,
        0.000924941,
        0.000924941,
        0.000934448,
        0.000934448,
        0.000934448,
        0.000934448,
        0.00085813,
        0.00085813,
        0.000827681,
        0.000827681,
        0.00085813,
        0.000934448,
        0.000934448,
        0.00101594,
        0.00101594,
        0.00104433,
        0.00104433,
        0.00111203,
        0.00111203,
        0.00111203,
        0.00111203,
        0.00115864,
        0.00119309,
        0.00115864,
        0.00115864,
        0.00111203,
        0.00111203,
        0.00111203,
        0.00115864,
        0.00111203,
        0.00111203,
        0.00110425,
        0.00102217,
        0.00102217,
        0.00101006,
        0.00101006,
        0.000984132,
        0.00101006,
        0.000984132,
        0.00101006,
        0.000984132,
        0.000984132,
        0.000962782,
        0.000984132,
        0.000984132,
        0.000984132,
        0.000984132,
        0.000984132,
        0.000962782,
        0.000962782,
        0.000984132,
        0.00101006,
        0.000984132,
        0.000957029,
        0.000984132,
        0.00101006,
        0.00109109,
        0.00110425,
        0.00109109,
        0.00101006,
        0.000984132,
        0.000957029,
        0.000957029,
        0.00109109,
        0.000957029,
        0.000957029,
        0.000945474,
        0.000945474,
        0.000927168,
        0.000927168,
        0.00090833,
        0.000927168,
        0.00090833,
        0.00090833,
        0.000863815,
        0.000794452,
        0.000863815,
        0.000794452,
        0.000772992,
        0.000772992,
        0.000772992,
        0.00073151,
        0.000707611,
        0.00073151,
        0.00073151,
        0.000707611,
        0.000707611,
        0.00069756,
        0.000652274,
        0.000648748,
        0.000647991,
        0.000647991,
        0.000647991,
        0.000629923,
        0.000629923,
        0.000629923,
        0.000629923,
        0.000648748,
        0.00069756,
        0.000707611,
        0.000707611,
        0.00073151,
        0.00073151,
        0.000707611,
        0.00073151,
        0.000732258,
        0.00077061,
        0.00077061,
        0.00077061,
        0.00077061,
        0.000862728,
        0.000881639,
        0.000900024,
        0.000922088,
        0.000922088,
        0.000922088,
        0.000956323,
        0.000992593,
        0.00107095,
        0.00110433,
        0.00114089,
        0.00118544,
        0.00118544,
        0.00122347,
        0.0012904,
        0.00133344,
        0.00135019,
        0.0013844,
        0.00147332,
        0.00149107,
        0.00149107,
        0.00153795,
        0.00153795,
        0.00153816,
        0.00153816,
        0.00155805,
        0.00155805,
        0.00155805,
        0.00153816,
        0.00155805,
        0.00156775,
        0.00156775,
        0.00156775,
        0.0015678,
        0.0015678,
        0.00157017,
        0.00157017,
        0.00157017,
        0.0015678,
        0.00157017,
        0.00173095,
        0.00174202,
        0.00174202,
        0.00174202,
        0.00173095,
        0.00173095,
        0.00174202,
        0.00174202,
        0.00174202,
        0.00174202,
        0.00173095,
        0.00174202,
        0.00174202,
        0.00174202,
        0.00174202,
        0.00174202,
        0.00174202,
        0.00174777,
        0.00174202,
        0.00174202,
        0.00173289,
        0.00173095,
        0.00172129,
        0.00172129,
        0.00172129,
        0.00172129,
        0.00171919,
        0.00171919,
        0.00170255,
        0.00170255,
        0.00168833,
        0.00164969,
        0.00156297,
        0.00154789,
        0.00152187,
        0.00152187,
        0.00152187,
        0.00147039,
        0.00143324,
        0.00141846,
        0.00141846,
        0.00141651,
        0.00141651,
        0.00141459,
        0.00139205,
        0.00135871,
        0.00135871,
        0.00134952,
        0.00127116,
        0.00118938,
        0.00113446,
        0.00113446,
        0.00113446,
        0.00113296,
        0.00113296,
        0.00112144,
        0.00109662,
        0.00109653,
        0.00103119,
        0.00103119,
        0.00103119,
        0.00103119,
        0.000991608,
        0.000991608,
        0.00098717,
        0.00098717,
        0.000965028,
        0.000965028,
        0.000964462,
        0.000948383,
        0.000948383,
        0.000920584,
        0.000911824,
        0.000908301,
        0.000908301,
        0.000908301,
        0.000911824,
        0.000908301,
        0.000908301,
        0.000875294,
        0.000875294,
        0.000811154,
        0.000811154,
        0.000802553,
        0.000802553,
        0.000811154,
        0.000811154,
        0.000813906,
        0.000813906,
        0.000811154,
        0.000802553,
        0.000802553,
        0.000802553,
        0.000805561,
        0.000805561,
        0.000805561,
        0.000805561,
        0.000811154,
        0.000805561,
        0.000811154,
        0.000813906,
        0.000838591,
        0.000838591,
        0.000813906,
        0.000838591,
        0.000813906,
        0.000813906,
        0.000808118,
        0.000808118,
        0.000805561,
        0.000808118,
        0.000805561,
        0.000805561,
        0.000805561,
        0.000808118,
        0.000805561,
        0.000805561,
        0.000789366,
        0.000789366,
        0.000782051,
        0.000789366,
        0.000789366,
        0.000789366,
        0.000782051,
        0.000742018,
        0.000708198,
        0.000742018,
        0.000782051,
        0.000742018,
        0.000716127,
        0.000716127,
        0.000716127,
        0.000716127,
        0.000759503,
        0.000782051,
        0.000782051,
        0.000789366,
        0.000789366,
        0.000824543,
        0.000824543,
        0.000848602,
        0.000848602,
        0.000873338,
        0.000896849,
        0.000896849,
        0.000896849,
        0.000896849,
        0.000896849,
        0.000896849,
        0.000889858,
        0.000889858,
        0.000873338,
        0.000873338,
        0.000889858,
        0.000889858,
        0.000896849,
        0.000896849,
        0.000896849,
        0.000889858,
        0.000889858,
        0.000889858,
        0.000889858,
        0.000889858,
        0.000887751,
        0.000873338,
        0.000873338,
        0.000827018,
        0.000827018,
        0.000824543,
        0.00082006,
        0.00082006,
        0.00082006,
        0.000808323,
        0.000803961,
        0.000803961,
        0.000803961,
        0.000788824,
        0.000788824,
        0.000657134,
        0.000635892,
        0.000635892,
        0.000635892,
        0.00063116,
        0.000635892,
        0.00063116,
        0.00063116,
        0.00063116,
        0.00063116,
        0.00063116,
        0.000635892,
        0.000635892,
        0.000635892,
        0.00063116,
        0.000635892,
        0.000635892,
        0.00063116,
        0.000605505,
        0.00063116,
        0.00063116,
        0.000635892,
        0.000673902,
        0.000787465,
        0.000787465,
        0.000787465,
        0.000811637,
        0.000787465,
        0.000701861,
        0.000701861,
        0.000701861,
        0.000787465,
        0.000824853,
        0.000843972,
        0.000947413,
        0.000947413,
        0.000951179,
        0.000951179,
        0.000952267,
        0.00096281,
        0.00101296,
        0.00105862,
        0.00105862,
        0.00105862,
        0.0011076,
        0.0011076,
        0.0011076,
        0.0011076,
        0.0011076,
        0.0011076,
        0.00109415,
        0.00105862,
        0.000977526,
        0.000977526,
        0.000963924,
        0.000963924,
        0.000977526,
        0.000977526,
        0.000977526,
        0.00109415,
        0.00112162,
        0.00112162,
        0.00113563,
        0.00112162,
        0.00109415,
        0.00109415,
        0.00113563,
        0.00113563,
        0.00113563,
        0.00113563,
        0.00109415,
        0.00100822,
        0.000977526,
        0.000977526,
        0.000977526,
        0.000912328,
        0.000912328,
        0.000912328,
        0.000907697,
        0.000907697,
        0.000912328,
        0.000912328,
        0.000926055,
        0.000949762,
        0.000949762,
        0.000982048,
        0.000982048,
        0.000982048,
        0.000982048,
        0.000982048,
        0.000949762,
        0.000949762,
        0.000949762,
        0.000926055,
        0.000949762,
        0.000949762,
        0.000949762,
        0.000949762,
        0.000949762,
        0.000982048,
        0.000982048,
        0.00102474,
        0.00105666,
        0.00113232,
        0.00113274,
        0.00115161,
        0.00115161,
        0.00115161,
        0.00115161,
        0.00115161,
        0.0011575,
        0.0011575,
        0.00117464,
        0.00122002,
        0.00122002,
        0.00122002,
        0.00122002,
        0.00118401,
        0.00122002,
        0.00122002,
        0.00122002,
        0.00122002,
        0.00118401,
        0.00118401,
        0.00118401,
        0.00113274,
        0.00110352,
        0.00101781,
        0.000977145,
        0.000977145,
        0.000977145,
        0.000977145,
        0.000967373,
        0.000967373,
        0.000967373,
        0.000967373,
        0.000967373,
        0.000977145,
        0.000993044,
        0.00101781,
        0.00101781,
        0.000993044,
        0.000993044,
        0.000993044,
        0.000967373,
        0.000967373,
        0.000910815,
        0.000967373,
        0.000967373,
        0.000967373,
        0.000967373,
        0.000967373,
        0.000967373,
        0.000967373,
        0.000967373,
        0.000976124,
        0.000993044,
        0.000993044,
        0.000993044,
        0.000993044,
        0.000976124,
        0.000967373,
        0.000967373,
        0.000917611,
        0.000917611,
        0.000910918,
        0.000910918,
        0.000910815,
        0.000910815,
        0.000910815,
        0.000884817,
        0.000884817,
        0.000910815,
        0.000910815,
        0.000910815,
        0.000910815,
        0.000910815,
        0.000884817,
        0.000862292,
        0.000862292,
        0.000862292,
        0.000862292,
        0.000862292,
        0.000917611,
        0.000988914,
        0.00104641,
        0.00104641,
        0.00104641,
        0.00106702,
        0.00106702,
        0.00108605,
        0.00109814,
        0.00110135,
        0.00110135,
        0.00110366,
        0.00110366,
        0.00110366,
        0.00110366,
        0.00110366,
        0.00110366,
        0.00110553,
        0.00110553,
        0.00111934,
        0.00111934,
        0.00111934,
        0.00110553,
        0.00111934,
        0.00115681,
        0.00118637,
        0.00121058,
        0.00118637,
        0.00118637,
        0.00115681,
        0.00115681,
        0.00115681,
        0.00118637,
        0.00115681,
        0.00111934,
        0.00111934,
        0.0011103,
        0.00111934,
        0.00114176,
        0.00114176,
        0.00114176,
        0.00114176,
        0.00111934,
        0.00114176,
        0.00115681,
        0.00118795,
        0.00118795,
        0.00118795,
        0.00115681,
        0.00115681,
        0.00114176,
        0.00118795,
        0.0011949,
        0.0011949,
        0.00118795,
        0.00117381,
        0.00114176,
        0.00114176,
        0.00114176,
        0.00114176,
        0.00115404,
        0.00114176,
        0.00112791,
        0.0011103,
        0.00112791,
        0.00112791,
        0.00110165,
        0.00112791,
        0.00110165,
        0.000980558,
        0.000957228,
        0.000957228,
        0.000980558,
        0.000957228,
        0.000957228,
        0.000957228,
        0.000931848,
        0.000931848,
        0.000890086,
        0.000890086,
        0.000890086,
        0.000931848,
        0.000890086,
        0.000822779,
        0.000822779,
        0.000807305,
        0.000807305,
        0.000807305,
        0.000807305,
        0.000822779,
        0.000807305,
        0.000807305,
        0.000807305,
        0.000822779,
        0.000822779,
        0.000807305,
        0.000807305,
        0.000822779,
        0.000822779,
        0.000847523,
        0.000931848,
        0.000871131,
        0.000871131,
        0.000871131,
        0.000871131,
        0.000871131,
        0.000871131,
        0.000871131,
        0.000871131,
        0.000971345,
        0.000971345,
        0.000971345,
        0.000971345,
        0.000971345,
        0.000971345,
        0.000971345,
        0.000996617,
        0.000996617,
        0.00103469,
        0.00103469,
        0.00103469,
        0.00105795,
        0.00105795,
        0.00105795,
        0.00105795,
        0.00105795,
        0.00105795,
        0.00105795,
        0.00105795,
        0.00105795,
        0.000971345,
        0.00090899,
        0.000971345,
        0.000971345,
        0.00090899,
        0.00093018,
        0.00090899,
        0.000826753,
        0.000826753,
        0.000815085,
        0.000815085,
        0.000815085,
        0.000804873,
        0.000776517,
        0.000804873,
        0.000815085,
        0.000815085,
        0.000815085,
        0.000815085,
        0.000815085,
        0.000815085,
        0.000815085,
        0.000815085,
        0.000815085,
        0.000824387,
        0.000824387,
        0.000824387,
        0.000859731,
        0.000859731,
        0.000859731,
        0.000859731,
        0.000874411,
        0.000859731,
        0.000859731,
        0.000874411,
        0.00093018,
        0.000874411,
        0.00100998,
        0.00100998,
        0.00100998,
        0.00102805,
        0.00100998,
        0.00100998,
        0.00102805,
        0.00103272,
        0.00103272,
        0.00103982,
        0.0010909,
        0.00103272,
        0.00103272,
        0.00103272,
        0.0010909,
        0.0010909,
        0.00103272,
        0.00103272,
        0.00103272,
        0.00102805,
        0.00102805,
        0.000987094,
        0.000987094,
        0.000987094,
        0.000958029,
        0.000958029,
        0.000958029,
        0.000958029,
        0.000958029,
        0.000821337,
        0.000821337,
        0.000821337,
        0.000906709,
        0.000958029,
        0.000958029,
        0.000987094,
        0.00100952,
        0.00100952,
        0.00100952,
        0.00102626,
        0.00102626,
        0.00102626,
        0.00102992,
        0.00106546,
        0.00106546,
        0.00102992,
        0.00106546,
        0.0010704,
        0.00106546,
        0.00102992,
        0.00102992,
        0.00102992,
        0.00106546,
        0.00106546,
        0.00106546,
        0.00106546,
        0.00106546,
        0.0010704,
        0.0010704,
        0.0010704,
        0.00107548,
        0.00107548,
        0.00113499,
        0.00113499,
        0.00110068,
        0.00107548,
        0.00107548,
        0.00110068,
        0.00110068,
        0.00110068,
        0.00107548,
        0.0010704,
        0.00107548,
        0.00107548,
        0.00107548,
        0.000996977,
        0.000996977,
        0.000961391,
        0.000951307,
        0.000961391,
        0.000996977,
        0.000996977,
        0.000996977,
        0.000996977,
        0.000996977,
        0.000961391,
        0.000961391,
        0.000961391,
        0.000961391,
        0.000961391,
        0.000961391,
        0.000961391,
        0.000996977,
        0.000996977,
        0.000996977,
        0.000961391,
        0.000961391,
        0.000935702,
        0.000916276,
        0.000916276,
        0.000916276,
        0.000935702,
        0.000986861,
        0.000986861,
        0.000935702,
        0.000935702,
        0.000986861,
        0.00100511,
        0.00100511,
        0.00100511,
        0.00100511,
        0.000986861,
        0.0010869,
        0.0011124,
        0.00111441,
        0.00111441,
        0.00111968,
        0.00114112,
        0.00118648,
        0.00114112,
        0.00114112,
        0.00111968,
        0.00111441,
        0.0010869,
        0.0010869,
        0.0010869,
        0.00111441,
        0.00111441,
        0.00111441,
        0.00111441,
        0.00121557,
        0.00121557,
        0.00123831,
        0.00123831,
        0.00123831,
        0.00123831,
        0.00123831,
        0.00125562,
        0.00123831,
        0.00123831,
        0.00125562,
        0.00123831,
        0.00128307,
        0.00128307,
        0.00128307,
        0.00123831,
        0.00123831,
        0.00123831,
        0.00128307,
        0.00128307,
        0.00128307,
        0.00120705,
        0.00120705,
        0.00120705,
        0.00120705,
        0.00120705,
        0.00120705,
        0.00105179,
        0.00120705,
        0.00120705,
        0.00120705,
        0.00110375,
        0.00110375,
        0.00110375,
        0.00110375,
        0.00106989,
        0.00110375,
        0.00109352,
        0.00109352,
        0.00110375,
        0.00117514,
        0.00117514,
        0.00117514,
        0.00117514,
        0.00117514,
        0.00117514,
        0.0011846,
        0.0011846,
        0.00117514,
        0.00117514,
        0.00110375,
        0.00117514,
        0.00117514,
        0.0011846,
        0.0011927,
        0.0011927,
        0.0011846,
        0.0011846,
        0.0011927,
        0.0011927,
        0.0011927,
        0.0011927,
        0.0011927,
        0.0011927,
        0.0011927,
        0.0011927,
        0.0011927,
        0.0011927,
        0.0011927,
        0.0011846,
        0.00117514,
        0.0011846,
        0.00113366,
        0.00112098,
        0.00110987,
        0.00110987,
        0.00109885,
        0.00109885,
        0.00110987,
        0.00112098,
        0.00112098,
        0.00112098,
        0.00112098,
        0.00113366,
        0.00112098,
        0.00112098,
        0.00112098,
        0.00113366,
        0.00114762,
        0.00114762,
        0.00113366,
        0.00114762,
        0.00114762,
        0.00116888,
        0.00116888,
        0.00114762,
        0.00114762,
        0.00116888,
        0.00114762,
        0.00116888,
        0.00116919,
        0.00118215,
        0.00118215,
        0.00118215,
        0.00131725,
        0.0013472,
        0.0013472,
        0.00137973,
        0.0013472,
        0.0013472,
        0.00131725,
        0.00124542,
        0.00124542,
        0.00118215,
        0.00116919,
        0.00124542,
        0.00124542,
        0.00124542,
        0.00116919,
        0.00124542,
        0.00124542,
        0.00124542,
        0.00124542,
        0.00124542,
        0.00124542,
        0.0011632,
        0.0011632,
        0.0011632,
        0.00116264,
        0.0011632,
        0.0011632,
        0.0011632,
        0.00116264,
        0.00110941,
        0.00116264,
        0.00116264,
        0.00116264,
        0.00116264,
        0.00106425,
        0.00106425,
        0.0010046,
        0.0010046,
        0.00103886,
        0.00103886,
        0.00106425,
        0.00108383,
        0.00106425,
        0.00103886,
        0.00103886,
        0.00103886,
        0.00103886,
        0.00100451,
        0.00103886,
        0.00106425,
        0.00108383,
        0.00108383,
        0.00108557,
        0.00108557,
        0.00116251,
        0.00116251,
        0.00113856,
        0.00113856,
        0.00108557,
        0.00108557,
        0.00108557,
        0.00108557,
        0.00108557,
        0.00108557,
        0.00113856,
        0.00113856,
        0.00116251,
        0.00116251,
        0.0011972,
        0.00131857,
        0.00132209,
        0.00132209,
        0.00131857,
        0.00131857,
        0.00132209,
        0.00131857,
        0.00131857,
        0.00130397,
        0.00131857,
        0.00131857,
        0.00131857,
        0.00132594,
        0.00132594,
        0.00135195,
        0.00135195,
        0.00135195,
        0.00135195,
        0.00135195,
        0.00132594,
        0.00132594,
        0.00132594,
        0.00132594,
        0.00130397,
        0.00130397,
        0.00130397,
        0.00130397,
        0.00132594,
        0.00130397,
        0.00132594,
        0.00130397,
        0.0012838,
        0.00124169,
        0.00123029,
        0.00123029,
        0.00124169,
        0.00123029,
        0.00123029,
        0.00123029,
        0.00124169,
        0.00123029,
        0.00122683,
        0.00122683,
        0.00115194,
        0.00114392,
        0.00114135,
        0.00114135,
        0.00114135,
        0.00113419,
        0.00112,
        0.00112,
        0.00112,
        0.00113419,
        0.00114135,
        0.00114135,
        0.00114135,
        0.00114135,
        0.00113419,
        0.00112,
        0.00101714,
        0.00101667,
        0.00101667,
        0.00101559,
        0.00101667,
        0.00101667,
        0.00101667,
        0.00101667,
        0.00101667,
        0.00101667,
        0.00101667,
        0.00101559,
        0.00101667,
        0.00101667,
        0.00101559,
        0.00101559,
        0.00101559,
        0.00101667,
        0.00101667,
        0.00101559,
        0.00101667,
        0.00101714,
        0.00105413,
        0.00114417,
        0.00114417,
        0.00105413,
        0.00114417,
        0.00105413,
        0.00101714,
        0.00105413,
        0.00114417,
        0.00115085,
        0.00115085,
        0.00114417,
        0.00115085,
        0.00115085,
        0.00114417,
        0.00115085,
        0.00115085,
        0.00120858,
        0.00121173,
        0.00122735,
        0.00122972,
        0.00123258,
        0.00123258,
        0.00128182,
        0.00130248,
        0.00130405,
        0.00130405,
        0.00130405,
        0.00134496,
        0.00135669,
        0.00135669,
        0.00136847,
        0.00136847,
        0.00135669,
        0.00136847,
        0.00136847,
        0.00136847,
        0.00136847,
        0.00136847,
        0.00136847,
        0.00136847,
        0.00136847,
        0.00138518,
        0.00138518,
        0.00138518,
        0.00138518,
        0.00136847,
        0.00135669,
        0.00126186,
        0.00126186,
        0.00111341,
        0.00111341,
        0.00111266,
        0.00111266,
        0.00111266,
        0.00109991,
        0.00108375,
        0.00108375,
        0.00108375,
        0.00108375,
        0.00108195,
        0.000961875,
        0.000944215,
        0.000944215,
        0.000944215,
        0.000944215,
        0.000944215,
        0.000944215,
        0.000944215,
        0.000929895,
        0.000944215,
        0.000929895,
        0.000944215,
        0.000944215,
        0.000929895,
        0.000944215,
        0.000929895,
        0.000944215,
        0.0010075,
        0.00108195,
        0.00108195,
        0.00108195,
        0.00108195,
        0.00119141,
        0.00122181,
        0.00122181,
        0.00122181,
        0.00122181,
        0.00122181,
        0.00122181,
        0.00121183,
        0.00121183,
        0.00121183,
        0.00122181,
        0.00122181,
        0.00122181,
        0.00122181,
        0.00121183,
        0.00122181,
        0.00122181,
        0.00124497,
        0.00124497,
        0.00124497,
        0.00122181,
        0.00124497,
        0.00126036,
        0.00124497,
        0.00124497,
        0.00124497,
        0.00122181,
        0.00121183,
        0.00116714,
        0.00116714,
        0.00115695,
        0.00115695,
        0.0011552,
        0.0011552,
        0.00115695,
        0.00116714,
        0.00115695,
        0.00116714,
        0.00116714,
        0.00116714,
        0.00116714,
        0.00115695,
        0.00115695,
        0.0011552,
        0.00111369,
        0.00111369,
        0.00111369,
        0.0011552,
        0.0011552,
        0.00111369,
        0.0011552,
        0.00111369,
        0.0010153,
        0.000991603,
        0.000991603,
        0.0010153,
        0.0010153,
        0.0010153,
        0.0010153,
        0.000991603,
        0.000991603,
        0.000997499,
        0.000997499,
        0.000997499,
        0.000991603,
        0.000936449,
        0.000876219,
        0.000936449,
        0.000936449,
        0.000876219,
        0.000936449,
        0.000936449,
        0.000938009,
        0.000954239,
        0.00098398,
        0.00098398,
        0.00098398,
        0.000954239,
        0.000938009,
        0.000938009,
        0.000936449,
        0.000923825,
        0.000874499,
        0.00085469,
        0.00085469,
        0.000842495,
        0.00083439,
        0.000794021,
        0.000781228,
        0.000794021,
        0.000794021,
        0.00083439,
        0.00083439,
        0.00083439,
        0.00083439,
        0.000842495,
        0.00085469,
        0.000923825,
        0.000923825,
        0.000923825,
        0.000923825,
        0.00085469,
        0.000923825,
        0.00085469,
        0.00085469,
        0.000842495,
        0.00085469,
        0.00085469,
        0.00085469,
        0.000923825,
        0.000923825,
        0.000923825,
        0.000905425,
        0.000941903,
        0.000990891,
        0.0010974,
        0.00124161,
        0.00124161,
        0.00134363,
        0.00134363,
        0.00134363,
        0.00134363,
        0.00134363,
        0.00136045,
        0.00137739,
        0.00137739,
        0.00136045,
        0.00119731,
        0.00119731,
        0.00119731,
        0.00119731,
        0.00119731,
        0.00119731,
        0.00107788,
        0.00119731,
        0.00119731,
        0.00119731,
        0.00119731,
        0.00136045,
        0.00143811,
        0.00143811,
        0.00137178,
        0.00137178,
        0.00143811,
        0.00137178,
        0.00137178,
        0.00137178,
        0.00136045,
        0.00137178,
        0.00137178,
        0.00137178,
        0.00137914,
        0.00137914,
        0.00137178,
        0.00137178,
        0.00130697,
        0.00130697,
        0.00137178,
        0.00137178,
        0.00130697,
        0.0012428,
        0.0012428,
        0.0012428,
        0.0012428,
        0.0012428,
        0.0012428,
        0.00122703,
        0.00122703,
        0.00122582,
        0.0012107,
        0.00120463,
        0.00120463,
        0.00120463,
        0.0012049,
        0.0012049,
        0.0012049,
        0.0012049,
        0.0012049,
        0.00120463,
        0.00120458,
        0.00120463,
        0.00120463,
        0.00120463,
        0.00120463,
        0.00112868,
        0.00112868,
        0.00114695,
        0.00114695,
        0.00114695,
        0.00114695,
        0.00112868,
        0.00111584,
        0.00112868,
        0.00112868,
        0.00114695,
        0.00112868,
        0.00111584,
        0.00111584,
        0.00111584,
        0.00111584,
        0.00111584,
        0.00101254,
        0.00101254,
        0.000987305,
        0.000987305,
        0.000985693,
        0.000987305,
        0.000987305,
        0.000987305,
        0.00101254,
        0.00111584,
        0.00111584,
        0.00114695,
        0.00114695,
        0.00114695,
        0.00114695,
        0.000946907,
        0.000946907,
        0.00119914,
        0.000936359,
        0.00109715,
        0.00119428,
        0.00119428,
        0.00113759,
        0.00119428,
        0.00113759,
        0.00119428,
        0.00119428,
        0.00119428,
        0.00119428,
        0.00119428,
        0.00119428,
        0.00137839,
        0.00137839,
        0.00143912,
        0.00137839,
        0.00137839,
        0.00137839,
        0.00137839,
        0.00137839,
        0.00137839,
        0.00137839,
        0.00137839,
        0.00137839,
        0.00137839,
        0.00119428,
        0.00119428,
        0.00137839,
        0.00137325,
        0.00128481,
        0.00137325,
        0.00137325,
        0.00141317,
        0.00141317,
        0.00143912,
        0.00143912,
        0.00155544,
        0.00153149,
        0.00161882,
        0.0016271,
        0.0016271,
        0.0016271,
        0.0016271,
        0.00161882,
        0.0015751,
        0.0015751,
        0.0015751,
        0.0015751,
        0.00153149,
        0.00147738,
        0.00141317,
        0.00137325,
        0.00137325,
        0.001297,
        0.00128481,
        0.00128481,
        0.001297,
        0.001297,
        0.00128481,
        0.00128481,
        0.001297,
        0.001297,
        0.00130379,
        0.00130379,
        0.00130379,
        0.00130379,
        0.001297,
        0.001297,
        0.001297,
        0.001297,
        0.001297,
        0.00130379,
        0.00137705,
        0.00137705,
        0.00137705,
        0.00137705,
        0.00137719,
        0.00137719,
        0.00137705,
        0.00137719,
        0.00137719,
        0.00138606,
        0.00138606,
        0.00144471,
        0.00144471,
        0.00148996,
        0.00148996,
        0.00152808,
        0.00152808,
        0.00152808,
        0.00152808,
        0.00152808,
        0.00148996,
        0.00152808,
        0.00148996,
        0.00148996,
        0.00148996,
        0.00148996,
        0.0014823,
        0.00127841,
        0.00127841,
        0.00127841,
        0.00127841,
        0.00127841,
        0.00132796,
        0.00127841,
        0.00127841,
        0.00122096,
        0.00127841,
        0.00127841,
        0.00127841,
        0.00127841,
        0.00127841,
        0.00127841,
        0.00122707,
        0.00122096,
        0.00114594,
        0.00122096,
        0.00122096,
        0.00122707,
        0.00122707,
        0.00122707,
        0.00132796,
        0.00132796,
        0.00122707,
        0.00122707,
        0.00132796,
        0.00132796,
        0.00132796,
        0.00145208,
        0.00150232,
        0.00150232,
        0.0015107,
        0.001517,
        0.00153009,
        0.00153009,
        0.00166373,
        0.00166373,
        0.00171245,
        0.00174611,
        0.00174611,
        0.00174611,
        0.00181554,
        0.00181684,
        0.00184975,
        0.00184975,
        0.00184975,
        0.00184975,
        0.00186913,
        0.00184975,
        0.00181684,
        0.00181684,
        0.00184975,
        0.00184975,
        0.00184975,
        0.00184975,
        0.00184975,
        0.00171245,
        0.00168006,
        0.00168006,
        0.00166373,
        0.00166373,
        0.00151405,
        0.00151405,
        0.00151405,
        0.00151405,
        0.00151405,
        0.00146763,
        0.00151405,
        0.00141649,
        0.00136774,
        0.00136774,
        0.00136774,
        0.00136667,
        0.00136667,
        0.00136667,
        0.00136774,
        0.00137462,
        0.00141649,
        0.00141649,
        0.00141649,
        0.00143721,
        0.0014858,
        0.0014858,
        0.0014858,
        0.0014858,
        0.0014858,
        0.00151405,
        0.00151405,
        0.00151405,
        0.00151405,
        0.0014858,
        0.0014858,
        0.0014858,
        0.00148346,
        0.00148329,
        0.00148329,
        0.00148329,
        0.00148346,
        0.00148346,
        0.0014858,
        0.0014858,
        0.0014858,
        0.0014858,
        0.0014858,
        0.00148346,
        0.00148329,
        0.00148329,
        0.00148329,
        0.00140561,
        0.00140561,
        0.00148329,
        0.00140561,
        0.00129187,
        0.00122926,
        0.00122926,
        0.00122926,
        0.00121864,
        0.00116885,
        0.00121864,
        0.00122926,
        0.00122926,
        0.00129187,
        0.00129187,
        0.00130203,
        0.00136642,
        0.00140561,
        0.00140561,
        0.00140561,
        0.00140561,
        0.00136642,
        0.00130203,
        0.00136642,
        0.00140561,
        0.00161188,
        0.00162986,
        0.00162986,
        0.00164637,
        0.00162986,
        0.00161188,
        0.00161188,
        0.00136642,
        0.00130203,
        0.00136642,
        0.00161188,
        0.00161188,
        0.00162986,
        0.00164637,
        0.0016517,
        0.0016517,
        0.0016517,
        0.00164637,
        0.00164637,
        0.00162986,
        0.00162986,
        0.00158165,
        0.00158165,
        0.00158165,
        0.00129123,
        0.00125114,
        0.00123603,
        0.00124051,
        0.00124051,
        0.00121752,
        0.00111539,
        0.00110064,
        0.00109914,
        0.00110064,
        0.00109914,
        0.00109733,
        0.00109914,
        0.00107463,
        0.00107463,
        0.00107463,
        0.00100783,
        0.00100783,
        0.00100783,
        0.000999631,
        0.000985611,
        0.000889471,
        0.000985611,
        0.000999631,
        0.000985611,
        0.000927964,
        0.000889471,
        0.000927964,
        0.000927964,
        0.000927964,
        0.000927964,
        0.000927964,
        0.000927964,
        0.000927964,
        0.000828265,
        0.000927964,
        0.000985611,
        0.00100783,
        0.00100783,
        0.00102265,
        0.00100783,
        0.000985611,
        0.000985611,
        0.000927964,
        0.000927964,
        0.000927964,
        0.000927964,
        0.000985611,
        0.000985611,
        0.000985611,
        0.000927964,
        0.000927964,
        0.00102265,
        0.00102265,
        0.00102265,
        0.00102265,
        0.00102265,
        0.00108683,
        0.00108683,
        0.00107509,
        0.00107509,
        0.000923236,
        0.00107509,
        0.000923236,
        0.000923236,
        0.00107509,
        0.000923236,
        0.000923236,
        0.000923236,
        0.00107509,
        0.00107509,
        0.00107509,
        0.00113567,
        0.00115817,
        0.00115817,
        0.0011692,
        0.0011692,
        0.0011692,
        0.0011692,
        0.00115817,
        0.00113567,
        0.00113567,
        0.00113567,
        0.00107509,
        0.0010324,
        0.000906447,
        0.0010324,
        0.00107509,
        0.0010324,
        0.000882609,
        0.000882609,
        0.0010324,
        0.00104387,
        0.0010324,
        0.0010324,
        0.00104387,
        0.0010324,
        0.00104387,
        0.0010324,
        0.00100305,
        0.00100305,
        0.00100305,
        0.0010324,
        0.00100305,
        0.000976577,
        0.000976577,
        0.000882609,
        0.000976577,
        0.000882609,
        0.000882609,
        0.000882609,
        0.000908145,
        0.000908145,
        0.000878427,
        0.000878427,
        0.000908145,
        0.000976577,
        0.000976577,
        0.000908145,
        0.000976577,
        0.000976577,
        0.000908145,
        0.00084656,
        0.00084656,
        0.000908145,
        0.000863118,
        0.000863118,
        0.000863118,
        0.000863118,
        0.000863118,
        0.000863118,
        0.00084656,
        0.00084656,
        0.000841327,
        0.000841327,
        0.000789517,
        0.000841327,
        0.00084656,
        0.00084656,
        0.000863118,
        0.000863118,
        0.000908145,
        0.00111688,
        0.00112543,
        0.00112905,
        0.00112905,
        0.00112543,
        0.00111688,
        0.000972214,
        0.000972214,
        0.000964311,
        0.000972214,
        0.00111688,
        0.00112543,
        0.00112905,
        0.00112543,
        0.00112543,
        0.00112543,
        0.00112543,
        0.00112543,
        0.00112905,
        0.00112905,
        0.00112905,
        0.00112543,
        0.00115502,
        0.00116795,
        0.00116795,
        0.00115502,
        0.00112543,
        0.00112543,
        0.00111802,
        0.00108125,
        0.00100845,
        0.00100845,
        0.000972214,
        0.000972214,
        0.000972214,
        0.000972214,
        0.000948676,
        0.000948676,
        0.000948676,
        0.00100845,
        0.00100845,
        0.000948676,
        0.000948195,
        0.00086277,
        0.000948195,
        0.000948195,
        0.000948195,
        0.00086277,
        0.00086277,
        0.00086277,
        0.00086277,
        0.00086277,
        0.00086277,
        0.00086277,
        0.00086277,
        0.000855373,
        0.00081693,
        0.00081693,
        0.00081693,
        0.000855373,
        0.00086277,
        0.00086277,
        0.00081693,
        0.00086277,
        0.00084539,
        0.00084539,
        0.00086277,
        0.000881156,
        0.00090314,
        0.000940118,
        0.000940118,
        0.00090314,
        0.000940118,
        0.000960775,
        0.000962849,
        0.000962849,
        0.000960775,
        0.000960775,
        0.000960775,
        0.000960775,
        0.000940118,
        0.000960775,
        0.000962849,
        0.000962849,
        0.000960775,
        0.000960775,
        0.000960775,
        0.000960775,
        0.000970089,
        0.000970089,
        0.000970089,
        0.000970089,
        0.000974771,
        0.00100328,
        0.00100328,
        0.00108586,
        0.00108586,
        0.00101208,
        0.00100328,
        0.00100306,
        0.00100306,
        0.00100306,
        0.00100306,
        0.00100306,
        0.000970089,
        0.000916375,
        0.000916375,
        0.000923743,
        0.000916375,
        0.000916375,
        0.000916375,
        0.000916375,
        0.000856278,
        0.000856278,
        0.000856278,
        0.000856278,
        0.000856278,
        0.000879388,
        0.000916375,
        0.000916375,
        0.000916375,
        0.000916375,
        0.000919267,
        0.000919267,
        0.000919267,
        0.000919267,
        0.000919267,
        0.000919267,
        0.000919267,
        0.000921826,
        0.000923743,
        0.000921826,
        0.000919267,
        0.000921826,
        0.000919267,
        0.000921826,
        0.000923743,
        0.000923743,
        0.00102689,
        0.00102689,
        0.00104422,
        0.00104901,
        0.00108669,
        0.00108669,
        0.00108669,
        0.00108669,
        0.00108669,
        0.00108997,
        0.00108997,
        0.00108669,
        0.00108669,
        0.00105086,
        0.00105086,
        0.00105086,
        0.00104901,
        0.0010473,
        0.0010473,
        0.00104422,
        0.00104422,
        0.0010473,
        0.0010473,
        0.0010473,
        0.00105086,
        0.00105086,
        0.0010473,
        0.0010473,
        0.00104422,
        0.00104422,
        0.00104422,
        0.000983517,
        0.000948427,
        0.000948427,
        0.000926746,
        0.000924243,
        0.000924243,
        0.000924243,
        0.000926746,
        0.000926746,
        0.000924243,
        0.000904765,
        0.000904765,
        0.000880185,
        0.000904765,
        0.000904765,
        0.000904765,
        0.000904765,
        0.000904765,
        0.000880185,
        0.000880185,
        0.000880185,
        0.000845715,
        0.000845715,
        0.000845715,
        0.000807244,
        0.000845715,
        0.000880185,
        0.000899208,
        0.000880185,
        0.000880185,
        0.000880185,
        0.000880185,
        0.000880185,
        0.000845715,
        0.000880185,
        0.000899208,
        0.000904765,
        0.000916831,
        0.000916831,
        0.000922377,
        0.00097912,
        0.00103292,
        0.00097912,
        0.00097912,
        0.00097912,
        0.00097912,
        0.00109255,
        0.00109255,
        0.000922377,
        0.00109255,
        0.00113402,
        0.00113402,
        0.00113402,
        0.00109255,
        0.000938332,
        0.000938332,
        0.000938332,
        0.000938332,
        0.000938332,
        0.00117285,
        0.000938332,
        0.000938332,
        0.000938332,
        0.000938332,
        0.00107745,
        0.000938332,
        0.000938332,
        0.000938332,
        0.000938332,
        0.000938332,
        0.000938332,
        0.000935992,
        0.000935992,
        0.000938332,
        0.00107745,
        0.000938332,
        0.000938332,
        0.000935992,
        0.000938332,
        0.00100152,
        0.00100152,
        0.000938332,
        0.00100152,
        0.00100152,
        0.00100152,
        0.00100152,
        0.00100152,
        0.00100152,
        0.00107745,
        0.00107745,
        0.00107745,
        0.00108919,
        0.00107745,
        0.00107745,
        0.00107745,
        0.00108919,
        0.00111187,
        0.00108919,
        0.00100152,
        0.00100152,
        0.00100152,
        0.00100152,
        0.00108919,
        0.00108919,
        0.00100152,
        0.00100152,
        0.00100152,
        0.00108919,
        0.00108925,
        0.00108925,
        0.00108925,
        0.00108925,
        0.00108925,
        0.00108919,
        0.00108925,
        0.00110323,
        0.00110323,
        0.00110323,
        0.00110323,
        0.00108925,
        0.00108925,
        0.0010699,
        0.0010699,
        0.0010699,
        0.00108537,
        0.00108925,
        0.00108925,
        0.00108537,
        0.00108537,
        0.00108925,
        0.00108537,
        0.0010699,
        0.0010048,
        0.000987467,
        0.000859564,
        0.000987467,
        0.000842059,
        0.000842059,
        0.000839789,
        0.000839789,
        0.000839789,
        0.000839789,
        0.000839789,
        0.000839789,
        0.000842059,
        0.000842059,
        0.000839789,
        0.000839789,
        0.000839789,
        0.000791917,
        0.000791917,
        0.000842059,
        0.000995444,
        0.000992407,
        0.000992407,
        0.000992407,
        0.000842059,
        0.000842059,
        0.000842059,
        0.000842059,
        0.000842059,
        0.000871143,
        0.000992407,
        0.000995444,
        0.000995444,
        0.00103231,
        0.00103231,
        0.00105999,
        0.00105999,
        0.00106463,
        0.00105999,
        0.00106463,
        0.00105999,
        0.00103231,
        0.000995444,
        0.000995444,
        0.00103231,
        0.00105999,
        0.00106463,
        0.00108277,
        0.00111313,
        0.00111313,
        0.00108571,
        0.00108571,
        0.00108571,
        0.00108571,
        0.00111313,
        0.00111313,
        0.00111313,
        0.00111313,
        0.00111313,
        0.00108571,
        0.00103231,
        0.00101056,
        0.000991224,
        0.000991224,
        0.000991224,
        0.000966428,
        0.000966428,
        0.000966428,
        0.000966428,
        0.000966428,
        0.000943788,
        0.000943788,
        0.000943788,
        0.000966428,
        0.000966428,
        0.000943788,
        0.000894948,
        0.000892917,
        0.000892917,
        0.000892917,
        0.000892917,
        0.000882331,
        0.000882331,
        0.000892917,
        0.000882331,
        0.000881018,
        0.000882331,
        0.000882331,
        0.000892917,
        0.000882331,
        0.000882331,
        0.000892917,
        0.000894948,
        0.000894948,
        0.000892917,
        0.000882331,
        0.000892917,
        0.000882331,
        0.000892917,
        0.000882331,
        0.000892917,
        0.000892917,
        0.000894948,
        0.000936921,
        0.000894948,
        0.000894948,
        0.000894948,
        0.000842465,
        0.000842465,
        0.000842465,
        0.000842465,
        0.000842465,
        0.000842465,
        0.000658905,
        0.000658905,
        0.000658905,
        0.000704623,
        0.000658905,
        0.000704623,
        0.000704623,
        0.000704623,
        0.000704623,
        0.000704623,
        0.000704623,
        0.000658905,
        0.000704623,
        0.000716946,
        0.000704623,
        0.000704623,
        0.000704623,
        0.000716946,
        0.000716946,
        0.000716946,
        0.000716946,
        0.000716946,
        0.000785104,
        0.000749575,
        0.000749575,
        0.000749575,
        0.000785104,
        0.000785104,
        0.000785104,
        0.000785104,
        0.000785104,
        0.000798427,
        0.000806272,
        0.000806272,
        0.000807215,
        0.000845717,
        0.000845717,
        0.000845717,
        0.000845717,
        0.000845717,
        0.000918693,
        0.000845717,
        0.000918693,
        0.000845717,
        0.000845717,
        0.000918693,
        0.000918693,
        0.000918693,
        0.000918693,
        0.000845717,
        0.000845717,
        0.000845717,
        0.000845717,
        0.000845717,
        0.000918693,
        0.000920498,
        0.000996454,
        0.00102923,
        0.00102923,
        0.000996454,
        0.000996454,
        0.00102923,
        0.00102923,
        0.00102923,
        0.00104488,
        0.00102923,
        0.00101737,
        0.000996454,
        0.000920498,
        0.000920498,
        0.000920498,
        0.000842328,
        0.000842328,
        0.000842328,
        0.000842328,
        0.000841361,
        0.000841361,
        0.000842328,
        0.000842328,
        0.00085266,
        0.000889953,
        0.000911707,
        0.000889953,
        0.00085266,
        0.00085266,
        0.000842328,
        0.00079385,
        0.00079385,
        0.00079385,
        0.00079385,
        0.000842328,
        0.00085266,
        0.000842328,
        0.000829414,
        0.000829414,
        0.00079385,
        0.000796631,
        0.00079385,
        0.000796631,
        0.000796631,
        0.000796631,
        0.000829414,
        0.000829414,
        0.00085266,
        0.000829414,
        0.000829414,
        0.00085266,
        0.00085266,
        0.000878688,
        0.000829414,
        0.000796631,
        0.000786884,
        0.000786884,
        0.000796631,
        0.000796631,
        0.000796631,
        0.000829414,
        0.000829414,
        0.000796631,
        0.000796631,
        0.000779614,
        0.000749639,
        0.000749639,
        0.000749639,
        0.000779614,
        0.000796631,
        0.000878688,
        0.000878688,
        0.000878688,
        0.000878688,
        0.000889051,
        0.000894763,
        0.000894763,
        0.000894763,
        0.000894763,
        0.000894763,
        0.000913083,
        0.000894763,
        0.000894763,
        0.000889051,
        0.000889051,
        0.000889051,
        0.000894763,
        0.000913083,
        0.000913083,
        0.000913083,
        0.000889051,
        0.000847228,
        0.000847228,
        0.000847228,
        0.000847228,
        0.000849458,
        0.000889051,
        0.000889051,
        0.000918053,
        0.000918053,
        0.000918053,
        0.000849458,
        0.000849458,
        0.000849458,
        0.000849458,
        0.000800326,
        0.000789987,
        0.000789987,
        0.000789987,
        0.000789987,
        0.000800326,
        0.000789987,
        0.000800326,
        0.000738421,
        0.000774138,
        0.000800326,
        0.000774138,
        0.000774138,
        0.000774138,
        0.000774138,
        0.000821895,
        0.000849458,
        0.000909562,
        0.000909562,
        0.000909562,
        0.000918053,
        0.000909562,
        0.000909562,
        0.000909562,
        0.000909562,
        0.000909562,
        0.000821895,
        0.000909562,
        0.000909562,
        0.000909562,
        0.000821895,
        0.000901113,
        0.000901113,
        0.000909562,
        0.000909562,
        0.000909562,
        0.000901113,
        0.000909562,
        0.000909562,
        0.000973047,
        0.000973047,
        0.000909562,
        0.000909562,
        0.000901113,
        0.000823281,
        0.00081965,
        0.00081965,
        0.00081965,
        0.000804027,
        0.000804027,
        0.00081965,
        0.000804027,
        0.00081965,
        0.000781593,
        0.000781593,
        0.000781593,
        0.00075552,
        0.00075552,
        0.00075552,
        0.000758251,
        0.000758251,
        0.000823281,
        0.000823281,
        0.000823281,
        0.000823281,
        0.000823281,
        0.000855371,
        0.000858078,
        0.000858078,
        0.000855371,
        0.000855371,
        0.000855371,
        0.000855371,
        0.000855371,
        0.000855371,
        0.000855371,
        0.000855371,
        0.000855371,
        0.000855371,
        0.000855371,
        0.000855371,
        0.000769017,
        0.000858078,
        0.000769017,
        0.000858078,
        0.000858078,
        0.000858078,
        0.000873546,
        0.00090639,
        0.000873546,
        0.000873546,
        0.00090639,
        0.00090639,
        0.000873546,
        0.000873546,
        0.000873546,
        0.000873546,
        0.000873546,
        0.000873546,
        0.000873546,
        0.000959871,
        0.000959871,
        0.00100637,
        0.00101321,
        0.00101321,
        0.00101321,
        0.00104349,
        0.00104349,
        0.00104349,
        0.00105697,
        0.00106103,
        0.00106103,
        0.00106103,
        0.00107369,
        0.00107369,
        0.00109204,
        0.00107369,
        0.00107369,
        0.00107369,
        0.00106103,
        0.00107369,
        0.00107369,
        0.00105636,
        0.00105636,
        0.00105636,
        0.00105636,
        0.00107369,
        0.00107369,
        0.00105636,
        0.00104349,
        0.00101623,
        0.000974999,
        0.000974999,
        0.000959318,
        0.000922849,
        0.000922849,
        0.00091937,
        0.00091937,
        0.000959318,
        0.00091937,
        0.000909917,
        0.000838212,
        0.00082105,
        0.000787696,
        0.000780712,
        0.000787696,
        0.000787696,
        0.000787696,
        0.00082105,
        0.00082105,
        0.000740979,
        0.00072133,
        0.00072133,
        0.000740979,
        0.00072133,
        0.000731554,
        0.000731554,
        0.00072133,
        0.000731554,
        0.000731554,
        0.000731554,
        0.00072133,
        0.000731554,
        0.000731554,
        0.000731554,
        0.000753037,
        0.000753037,
        0.000753037,
        0.000753037,
        0.000731554,
        0.000753037,
        0.000753037,
        0.000753037,
        0.000753037,
        0.000804459,
        0.000804459,
        0.000753037,
        0.000731554,
        0.000753037,
        0.000731554,
        0.000722719,
        0.000722719,
        0.000722719,
        0.000731554,
        0.000731554,
        0.000731554,
        0.000722719,
        0.000720022,
        0.000722719,
        0.000720022,
        0.000711018,
        0.000711018,
        0.000689474,
        0.000665988,
        0.000665988,
        0.000651972,
        0.000651972,
        0.000630192,
        0.000651972,
        0.000651972,
        0.000665988,
        0.000654862,
        0.000665988,
        0.000689474,
        0.000689474,
        0.000679435,
        0.000679435,
        0.000665988,
        0.000679435,
        0.000665988,
        0.000679435,
        0.000689474,
        0.000689474,
        0.000679435,
        0.000679435,
        0.000654862,
        0.000654862,
        0.000654862,
        0.000665291,
        0.000665291,
        0.000654862,
        0.000654862,
        0.000651972,
        0.000654862,
        0.000665291,
        0.000665291,
        0.000679435,
        0.000679435,
        0.000698426,
        0.000679435,
        0.000665291,
        0.000665291,
        0.000665291,
        0.000648875,
        0.000609679,
        0.000648875,
        0.000648875,
        0.000648875,
        0.000648875,
        0.000609679,
        0.000648875,
        0.000648875,
        0.000648875,
        0.000648875,
        0.000648875,
        0.000648875,
        0.000648875,
        0.000648875,
        0.000665291,
        0.000708116,
        0.000708116,
        0.000715474,
        0.000728425,
        0.000759607,
        0.000759607,
        0.000728425,
        0.000715474,
        0.000715474,
        0.000715474,
        0.000708116,
        0.000708116,
        0.000708116,
        0.000715474,
        0.000741353,
        0.000745342,
        0.000759607,
        0.000745342,
        0.000741353,
        0.000745342,
        0.000745342,
        0.000745342,
        0.000741353,
        0.000715474,
        0.000715474,
        0.000715474,
        0.000741353,
        0.000741353,
        0.000745342,
        0.000745342,
        0.000745342,
        0.000759607,
        0.000791601,
        0.000745342,
        0.000741353,
        0.000741353,
        0.000689031,
        0.000689031,
        0.000741353,
        0.000741353,
        0.000741353,
        0.000741353,
        0.000741353,
        0.000745033,
        0.000745342,
        0.000791601,
        0.000788138,
        0.000788138,
        0.000788138,
        0.000791601,
        0.000788138,
        0.000792765,
        0.00079823,
        0.000929603,
        0.000929603,
        0.000929603,
        0.000931859,
        0.000931859,
        0.000929603,
        0.000929603,
        0.000929603,
        0.000929603,
        0.000929603,
        0.000822799,
        0.000931859,
        0.000931859,
        0.000931859,
        0.000931859,
        0.000931859,
        0.000822799,
        0.00079823,
        0.000788138,
        0.000788138,
        0.000788138,
        0.000788138,
        0.000749083,
        0.000735081,
        0.000732164,
        0.000691564,
        0.000672814,
        0.000666298,
        0.000666298,
        0.000660548,
        0.000660548,
        0.000614679,
        0.000660548,
        0.000614679,
        0.000614679,
        0.000614679,
        0.000614679,
        0.000614679,
        0.000660548,
        0.000660548,
        0.000660548,
        0.000660548,
        0.000660548,
        0.000666298,
        0.000672814,
        0.000672814,
        0.000690597,
        0.000690597,
        0.000690597,
        0.000732164,
        0.000732164,
        0.000732931,
        0.000732164,
        0.000732931,
        0.000744805,
        0.000744805,
        0.000744805,
        0.000744805,
        0.000757937,
        0.000763413,
        0.000763413,
        0.000763413,
        0.000797541,
        0.000800784,
        0.000800784,
        0.000800784,
        0.000800784,
        0.000809486,
        0.000800784,
        0.000800784,
        0.000763413,
        0.00075388,
        0.00075388,
        0.000744805,
        0.000744805,
        0.000727308,
        0.000744805,
        0.000727308,
        0.00065364,
        0.00065364,
        0.000623163,
        0.000623163,
        0.000623163,
        0.000623163,
        0.000623163,
        0.000623163,
        0.000727308,
        0.00075388,
        0.000754418,
        0.00075388,
        0.000727308,
        0.000634787,
        0.000727308,
        0.000634787,
        0.000634787,
        0.000634787,
        0.000634787,
        0.000634787,
        0.000634787,
        0.00063569,
        0.00063569,
        0.000727308,
        0.000754418,
        0.000757704,
        0.000821167,
        0.000821167,
        0.000928327,
        0.000928327,
        0.000928327,
        0.000956985,
        0.000957391,
        0.000957391,
        0.000957391,
        0.000956985,
        0.000928327,
        0.000928327,
        0.000821167,
        0.000789504,
        0.000789504,
        0.000707098,
        0.000789504,
        0.000789504,
        0.000875486,
        0.000875486,
        0.000928327,
        0.000928327,
        0.000928327,
        0.000875486,
        0.000875486,
        0.000875486,
        0.000875486,
        0.000875486,
        0.000815325,
        0.000815325,
        0.000810919,
        0.000789504,
        0.000789504,
        0.000789504,
        0.000789504,
        0.000810919,
        0.000810919,
        0.000789504,
        0.000789504,
        0.000789504,
        0.000810919,
        0.000815325,
        0.000873065,
        0.000873065,
        0.000873065,
        0.000873065,
        0.000873065,
        0.000873065,
        0.00093652,
        0.000941234,
        0.000941234,
        0.000941234,
        0.000949873,
        0.000963376,
        0.000963376,
        0.000963376,
        0.000963376,
        0.000949873,
        0.000941234,
        0.000949873,
        0.000963376,
        0.000963376,
        0.000963376,
        0.00100066,
        0.00100066,
        0.000949873,
        0.000997168,
        0.000949873,
        0.000949873,
        0.000949873,
        0.000997168,
        0.000949873,
        0.000948344,
        0.000933519,
        0.000933519,
        0.000948344,
        0.000949873,
        0.000997168,
        0.000997168,
        0.000997168,
        0.000997168,
        0.00100196,
        0.00100196,
        0.00100196,
        0.000997168,
        0.00100196,
        0.00100196,
        0.00100196,
        0.00108427,
        0.00110078,
        0.00110078,
        0.00110078,
        0.00112992,
        0.00114828,
        0.00114828,
        0.00120916,
        0.00120916,
        0.00130565,
        0.00132459,
        0.00132459,
        0.00145952,
        0.00145952,
        0.00159682,
        0.00159682,
        0.00159682,
        0.00159682,
        0.00145952,
        0.00145952,
        0.00132459,
        0.00132459,
        0.00132459,
        0.00132459,
        0.00137081,
        0.00142176,
        0.00142176,
        0.00143372,
        0.00143372,
        0.00142176,
        0.00142176,
        0.00142176,
        0.00143372,
        0.00145246,
        0.00143372,
        0.00143372,
        0.00142176,
        0.00142176,
        0.00142176,
        0.00142176,
        0.00142176,
        0.00139737,
        0.00139737,
        0.00137081,
        0.00137081,
        0.00137081,
        0.00137081,
        0.00137081,
        0.00137081,
        0.00137081,
        0.00126932,
        0.00126932,
        0.00126932,
        0.00126932,
        0.00126754,
        0.00125882,
        0.00125882,
        0.00123955,
        0.00123955,
        0.00118115,
        0.00118115,
        0.00118115,
        0.00118115,
        0.00118115,
        0.00118115,
        0.00118115,
        0.00118115,
        0.00118115,
        0.00115968,
        0.00114999,
        0.00114999,
        0.00114999,
        0.00114999,
        0.00114999,
        0.00115968,
        0.00114999,
        0.00113298,
        0.00113298,
        0.00113298,
        0.00117403,
        0.00117403,
        0.00117403,
        0.00117403,
        0.00113298,
        0.00117403,
        0.00118115,
        0.00120019,
        0.00120019,
        0.00120019,
        0.00117403,
        0.00117403,
        0.00120019,
        0.00117403,
        0.00117403,
        0.00117403,
        0.00113515,
        0.00113515,
        0.00106871,
        0.00113515,
        0.00117403,
        0.00120246,
        0.00120246,
        0.00117403,
        0.00117403,
        0.00117403,
        0.00113515,
        0.00113515,
        0.00113515,
        0.00113515,
        0.00098305,
        0.000929069,
        0.000929069,
        0.000929069,
        0.000929069,
        0.000962979,
        0.000962979,
        0.000962979,
        0.000929069,
        0.000919503,
        0.000919503,
        0.000919503,
        0.000956412,
        0.000956412,
        0.000962979,
        0.000962979,
        0.000962979,
        0.000956412,
        0.000956412,
        0.000962979,
        0.000962979,
        0.000962979,
        0.000956412,
        0.000956412,
        0.000962979,
        0.000962979,
        0.000983732,
        0.000983732,
        0.000983732,
        0.00107593,
        0.00107593,
        0.00107593,
        0.00107593,
        0.00107593,
        0.000983732,
        0.00097772,
        0.000983732,
        0.00097772,
        0.000956412,
        0.00097772,
        0.000983732,
        0.00097772,
        0.00097772,
        0.000983732,
        0.000983732,
        0.00097772,
        0.00097772,
        0.00097772,
        0.00097772,
        0.00097772,
        0.000969077,
        0.000969077,
        0.000969077,
        0.000969077,
        0.000969077,
        0.000887357,
        0.000969077,
        0.000887357,
        0.000870198,
        0.000870198,
        0.000821333,
        0.000870198,
        0.000969077,
        0.00112762,
        0.00114422,
        0.00114422,
        0.00116037,
        0.00114422,
        0.00116037,
        0.00116037,
        0.00114422,
        0.00112762,
        0.00112762,
        0.00105489,
        0.00105489,
        0.00105489,
        0.00105489,
        0.000964708,
        0.000939952,
        0.000939952,
        0.00091038,
        0.00091038,
        0.000881768,
        0.000821333,
        0.000881768,
        0.000881768,
        0.000881768,
        0.000881768,
        0.000887739,
        0.000891326,
        0.000891326,
        0.000891326,
        0.000891326,
        0.000891326,
        0.000891326,
        0.000891326,
        0.000887739,
        0.000887739,
        0.000887739,
        0.000881768,
        0.000881768,
        0.000881768,
        0.000887739,
        0.000887739,
        0.000887739,
        0.000887739,
        0.000871522,
        0.000871522,
        0.000887739,
        0.000887739,
        0.000891326,
        0.000914937,
        0.000919964,
        0.000919964,
        0.000936626,
        0.00100827,
        0.00100827,
        0.00114631,
        0.00100827,
        0.00100827,
        0.00100827,
        0.000936626,
        0.00100827,
        0.00100827,
        0.000919964,
        0.00100827,
        0.000919964,
        0.00100827,
        0.000919964,
        0.000919964,
        0.000919964,
        0.00100827,
        0.000919964,
        0.00100827,
        0.00110735,
        0.00110735,
        0.00100827,
        0.00102646,
        0.00102646,
        0.00102646,
        0.00100827,
        0.000902971,
        0.000801715,
        0.000801715,
        0.000897849,
        0.000897849,
        0.000897849,
        0.000902971,
        0.000897849,
        0.000902971,
        0.000902971,
        0.000902971,
        0.000994312,
        0.000902971,
        0.000994312,
        0.000994312,
        0.000994312,
        0.00101918,
        0.000994312,
        0.00101918,
        0.00102646,
        0.00102646,
        0.00101918,
        0.00101918,
        0.000994312,
        0.000994312,
        0.000994312,
        0.000994312,
        0.000932985,
        0.000897849,
        0.000875483,
        0.000897849,
        0.000897849,
        0.000932985,
        0.000932985,
        0.000932985,
        0.000932985,
        0.000932985,
        0.000932985,
        0.000932985,
        0.000932985,
        0.000932985,
        0.000932985,
        0.000932985,
        0.000932985,
        0.000932985,
        0.000983216,
        0.000983216,
        0.000983216,
        0.000983216,
        0.000933738,
        0.000927867,
        0.000927867,
        0.000927867,
        0.000933738,
        0.000983216,
        0.000983216,
        0.00104621,
        0.00107748,
        0.00107748,
        0.00111174,
        0.00114144,
        0.00111174,
        0.00111174,
        0.00107748,
        0.00106932,
        0.00106932,
        0.00104621,
        0.00104621,
        0.00103247,
        0.00104621,
        0.00104621,
        0.00104621,
        0.00106932,
        0.00103247,
        0.00106932,
        0.00107599,
        0.00106932,
        0.00106932,
        0.00103247,
        0.00103247,
        0.00103247,
        0.00104341,
        0.00104341,
        0.00106932,
        0.00104341,
        0.00104341,
        0.00104341,
        0.00104341,
        0.00104341,
        0.00104341,
        0.00104341,
        0.00103247,
        0.00103247,
        0.00104341,
        0.00104985,
        0.00104985,
        0.00107599,
        0.00107599,
        0.00104985,
        0.00104985,
        0.00104341,
        0.00104341,
        0.00104985,
        0.00104341,
        0.00104341,
        0.00097581,
        0.00097581,
        0.00097581,
        0.000961502,
        0.000961502,
        0.000961502,
        0.00097581,
        0.000961502,
        0.000924219,
        0.000924219,
        0.000924219,
        0.000923772,
        0.00092257,
        0.00092257,
        0.00092257,
        0.000923772,
        0.000923772,
        0.00092257,
        0.00092257,
        0.000870413,
        0.000830893,
        0.000830893,
        0.000799097,
        0.000830893,
        0.000830893,
        0.000855017,
        0.000855017,
        0.000855017,
        0.000830893,
        0.000855017,
        0.000855017,
        0.000855017,
        0.000830893,
        0.000855017,
        0.000870413,
        0.000879303,
        0.000879303,
        0.000870413,
        0.000855017,
        0.000855017,
        0.000846443,
        0.000855017,
        0.000846443,
        0.000831187,
        0.000830893,
        0.000830182,
        0.000797007,
        0.000797007,
        0.000797007,
        0.000830182,
        0.000797007,
        0.000797007,
        0.000795652,
        0.000795652,
        0.000771694,
        0.000771694,
        0.000693276,
        0.000680598,
        0.000615494,
        0.000680598,
        0.000680598,
        0.000693276,
        0.000693276,
        0.000693276,
        0.000693276,
        0.000680598,
        0.000680598,
        0.000615494,
        0.000615494,
        0.000693276,
        0.000700679,
        0.000700679,
        0.000693276,
        0.000700679,
        0.000771694,
        0.000795652,
        0.000830896,
        0.000859694,
        0.000859694,
        0.000859694,
        0.000859694,
        0.000881588,
        0.000881588,
        0.000911479,
        0.000963178,
        0.000963178,
        0.000911479,
        0.000911479,
        0.000963178,
        0.000973763,
        0.000973763,
        0.000973763,
        0.000973763,
        0.000973763,
        0.00100691,
        0.00103548,
        0.00103548,
        0.00100691,
        0.00100691,
        0.00103548,
        0.00100691,
        0.000973763,
        0.000973763,
        0.000973763,
        0.000950221,
        0.000899878,
        0.000899878,
        0.000899878,
        0.000854291,
        0.000799152,
        0.000854291,
        0.000799152,
        0.000795909,
        0.000795909,
        0.000794587,
        0.000794587,
        0.000795909,
        0.000799152,
        0.000795909,
        0.000795909,
        0.000794587,
        0.000721194,
        0.000794587,
        0.000794587,
        0.000721194,
        0.000721194,
        0.000709564,
        0.000709564,
        0.000721194,
        0.000721194,
        0.000721194,
        0.000709564,
        0.000721194,
        0.000752412,
        0.000752412,
        0.000721194,
        0.000752412,
        0.000752412,
        0.000752412,
        0.000752412,
        0.000752412,
        0.000746533,
        0.000746533,
        0.000746533,
        0.000746533,
        0.000752412,
        0.000752412,
        0.000752412,
        0.000746533,
        0.000752412,
        0.000746533,
        0.000746533,
        0.000746533,
        0.000746533,
        0.000746533,
        0.000746533,
        0.000746533,
        0.000752412,
        0.000746533,
        0.000716217,
        0.000713468,
        0.000686869,
        0.000713468,
        0.000713468,
        0.000713468,
        0.000716217,
        0.000746533,
        0.000746533,
        0.000716217,
        0.000713468,
        0.000713468,
        0.000713468,
        0.000713468,
        0.000713468,
        0.000713468,
        0.000713468,
        0.000669198,
        0.000649144,
        0.000649144,
        0.000642078,
        0.000642078,
        0.000642078,
        0.000669198,
        0.000713468,
        0.000713468,
        0.000716217,
        0.000753691,
        0.000713468,
        0.000642078,
        0.000603094,
        0.000642078,
        0.000824721,
        0.000843497,
        0.000824721,
        0.000824721,
        0.000802767,
        0.000642078,
        0.000603094,
        0.000602941,
        0.000602941,
        0.000642078,
        0.000645526,
        0.000802767,
        0.000802767,
        0.000802767,
        0.000823693,
        0.000824721,
        0.000889824,
        0.000889824,
        0.000824721,
        0.000824721,
        0.000824721,
        0.000824721,
        0.000823693,
        0.000802767,
        0.000746046,
        0.000746046,
        0.000746046,
        0.000802767,
        0.000802767,
        0.000802767,
        0.000802767,
        0.000802767,
        0.000746046,
        0.000707158,
        0.000707158,
        0.000746046,
        0.000746046,
        0.000746046,
        0.000804961,
        0.000804961,
        0.000746046,
        0.000746046,
        0.000746046,
        0.000707158,
        0.000707158,
        0.000707158,
        0.000691544,
        0.000691544,
        0.000707158,
        0.000707158,
        0.000746046,
        0.00071432,
        0.000746046,
        0.000804961,
        0.000814165,
        0.000817998,
        0.000814165,
        0.000804961,
        0.00071432,
        0.00071432,
        0.00071432,
        0.000696083,
        0.00067672,
        0.000680278,
        0.000696083,
        0.000696083,
        0.000696083,
        0.00071432,
        0.000780932,
        0.000780932,
        0.000780932,
        0.000810991,
        0.000810991,
        0.000780932,
        0.000780932,
        0.000780932,
        0.000758732,
        0.000758732,
        0.000758732,
        0.000758732,
        0.000780932,
        0.000780932,
        0.000795007,
        0.000795007,
        0.000795007,
        0.000780932,
        0.000780932,
        0.000795007,
        0.000795007,
        0.000810991,
        0.000810991,
        0.000818106,
        0.000867379,
        0.0009278,
        0.0009278,
        0.000867379,
        0.000861391,
        0.000818106,
        0.000818106,
        0.000818106,
        0.000818106,
        0.000818106,
        0.000857158,
        0.000795007,
        0.000795007,
        0.000857158,
        0.000857158,
        0.000857158,
        0.000857158,
        0.000806651,
        0.000806651,
        0.000795007,
        0.000793425,
        0.000772105,
        0.000749072,
        0.000701674,
        0.000701674,
        0.000701674,
        0.000701674,
        0.000749072,
        0.000749072,
        0.000749072,
        0.000749072,
        0.000749072,
        0.000701674,
        0.000749072,
        0.000701674,
        0.000701674,
        0.000742425,
        0.000742425,
        0.000749072,
        0.000782452,
        0.000806651,
        0.000806651,
        0.000844639,
        0.000870075,
        0.000870075,
        0.000880278,
        0.000927736,
        0.000927736,
        0.000958053,
        0.000958053,
        0.000962235,
        0.000962235,
        0.00100241,
        0.00100241,
        0.00102516,
        0.00102516,
        0.00102018,
        0.00102018,
        0.00102516,
        0.00103596,
        0.00104478,
        0.00111435,
        0.00111435,
        0.00113125,
        0.00118006,
        0.00121277,
        0.00121277,
        0.00121277,
        0.00121277,
        0.00126873,
        0.00121277,
        0.00121277,
        0.00118006,
        0.00121277,
        0.00121277,
        0.00121277,
        0.00118006,
        0.00121277,
        0.00121277,
        0.00121277,
        0.00118701,
        0.00118701,
        0.00118701,
        0.00118701,
        0.00121277,
        0.0014084,
        0.0014084,
        0.00142929,
        0.00142929,
        0.00157571,
        0.00142929,
        0.00157571,
        0.00157571,
        0.00160061,
        0.00157571,
        0.00160061,
        0.00157571,
        0.00157571,
        0.0014084,
        0.00157571,
        0.0014084,
        0.0014084,
        0.00124275,
        0.00124275,
        0.00124275,
        0.0014084,
        0.00124275,
        0.00124275,
        0.00121308,
        0.00121308,
        0.00121308,
        0.00124275,
        0.00121308,
        0.00124275,
        0.00121308,
        0.00120749,
        0.00120336,
        0.00120336,
        0.00119042,
        0.00119042,
        0.00112393,
        0.00119042,
        0.00119042,
        0.00119042,
        0.00115791,
        0.00115791,
        0.00112393,
        0.00112393,
        0.0010825,
        0.0010825,
        0.000956803,
        0.00108081,
        0.00108081,
        0.0010825,
        0.0010825,
        0.0010825,
        0.00108081,
        0.0010825,
        0.00112393,
        0.00115791,
        0.00112393,
        0.00112393,
        0.0010825,
        0.0010825,
        0.0010825,
        0.00115791,
        0.0010825,
        0.00115791,
        0.00115791,
        0.00121801,
        0.00115791,
        0.00121801,
        0.00115791,
        0.00115791,
        0.00115791,
        0.00121801,
        0.00121801,
        0.00136194,
        0.00136983,
        0.00139528,
        0.00136983,
        0.00139528,
        0.00139528,
        0.00142947,
        0.00142947,
        0.00143516,
        0.00143516,
        0.0014413,
        0.00143516,
        0.0014413,
        0.0014413,
        0.00153483,
        0.0014413,
        0.00153483,
        0.0014413,
        0.0014413,
        0.0014413,
        0.0014413,
        0.0014413,
        0.00153483,
        0.00153483,
        0.00159705,
        0.00153483,
        0.00159705,
        0.00153483,
        0.00151079,
        0.00151079,
        0.00153483,
        0.00151079,
        0.0014413,
        0.00135099,
        0.0014413,
        0.00139893,
        0.00139893,
        0.00135099,
        0.00135099,
        0.00133366,
        0.00133366,
        0.00133366,
        0.00133366,
        0.00133366,
        0.00135099,
        0.00133366,
        0.00133366,
        0.00133366,
        0.00135099,
        0.00135099,
        0.00135099,
        0.00135099,
        0.00133366,
        0.00131804,
        0.00131804,
        0.00131804,
        0.00131804,
        0.00129623,
        0.00129623,
        0.00129623,
        0.00129623,
        0.00129623,
        0.001257,
        0.001257,
        0.001257,
        0.001257,
        0.00123179,
        0.001257,
        0.001257,
        0.001257,
        0.00123179,
        0.00123179,
        0.00113624,
        0.00107552,
        0.00107552,
        0.00107552,
        0.00113624,
        0.001257,
        0.001257,
        0.001257,
        0.00113624,
        0.00107552,
        0.00113624,
        0.0012381,
        0.0012381,
        0.0012381,
        0.00113624,
        0.0011098,
        0.00113624,
        0.0012381,
        0.00113624,
        0.0012381,
        0.00120204,
        0.00113624,
        0.0011098,
        0.00120204,
        0.0011098,
        0.0011098,
        0.0011098,
        0.0011098,
        0.00109442,
        0.0011098,
        0.0011098,
        0.0011098,
        0.00119611,
        0.0011098,
        0.00109442,
        0.00107225,
        0.00101867,
        0.00101867,
        0.00101867,
        0.00101867,
        0.00101867,
        0.00101867,
        0.00101808,
        0.00101808,
        0.00101867,
        0.00101867,
        0.00107215,
        0.00101867,
        0.00101867,
        0.00101808,
        0.00101808,
        0.00101598,
        0.00101808,
        0.00101808,
        0.00101808,
        0.00101867,
        0.00101867,
        0.00101808,
        0.00101867,
        0.00101867,
        0.00101867,
        0.00107215,
        0.00107608,
        0.00107215,
        0.00107608,
        0.00107608,
        0.0011658,
        0.0011658,
        0.0011658,
        0.0011658,
        0.00119348,
        0.00119348,
        0.00119348,
        0.00119984,
        0.00119984,
        0.00119984,
        0.00120593,
        0.00119984,
        0.00119984,
        0.00119984,
        0.00119984,
        0.00119348,
        0.00119348,
        0.00119348,
        0.00119984,
        0.00119348,
        0.00114634,
        0.00114634,
        0.00114634,
        0.0011326,
        0.0011326,
        0.00108116,
        0.00108116,
        0.00107493,
        0.00108116,
        0.00107493,
        0.00108116,
        0.00107493,
        0.00108116,
        0.00109946,
        0.00109946,
        0.00108116,
        0.00108116,
        0.00108116,
        0.00108116,
        0.00107493,
        0.00106131,
        0.00104245,
        0.00104245,
        0.00106131,
        0.00104245,
        0.00106131,
        0.00106131,
        0.00108595,
        0.00106131,
        0.00106131,
        0.00104245,
        0.00108595,
        0.00108595,
        0.00108595,
        0.00108595,
        0.00108908,
        0.00108908,
        0.00108908,
        0.00108908,
        0.00108908,
        0.00115054,
        0.00108908,
        0.00108908,
        0.00108595,
        0.00108595,
        0.00104245,
        0.00104245,
        0.000963911,
        0.00104245,
        0.000963911,
        0.000963911,
        0.000937487,
        0.000963911,
        0.000937487,
        0.000888363,
        0.000878013,
        0.000878013,
        0.000859337,
        0.000859337,
        0.000859337,
        0.000859337,
        0.000878013,
        0.000859337,
        0.000859337,
        0.000842924,
        0.000842924,
        0.000842924,
        0.000859337,
        0.000859337,
        0.000878013,
        0.000859337,
        0.000842924,
        0.000859337,
        0.000878013,
        0.000888363,
        0.000878013,
        0.000888363,
        0.000888363,
        0.000888363,
        0.000887355,
        0.000888363,
        0.000888363,
        0.00089124,
        0.00089124,
        0.000956655,
        0.00102977,
        0.00102977,
        0.00102977,
        0.00102977,
        0.00102977,
        0.00102977,
        0.00102977,
        0.00102977,
        0.00102977,
        0.000956655,
        0.000956655,
        0.00102977,
        0.00102977,
        0.00102977,
        0.00102977,
        0.000992324,
        0.00102977,
        0.00102977,
        0.00102977,
        0.00103759,
        0.00103759,
        0.00103759,
        0.00101817,
        0.00101817,
        0.00101817,
        0.00103759,
        0.00104249,
        0.00104249,
        0.00104357,
        0.00104926,
        0.00103759,
        0.00103759,
        0.00104926,
        0.00104926,
        0.00112442,
        0.0011398,
        0.00116141,
        0.00116141,
        0.00116141,
        0.00120142,
        0.00124781,
        0.0012495,
        0.00126752,
        0.0012495,
        0.00124781,
        0.00120142,
        0.00120142,
        0.00116141,
        0.00116141,
        0.00113946,
        0.00112477,
        0.00113946,
        0.00116141,
        0.00116141,
        0.00116141,
        0.00118278,
        0.00124781,
        0.00118278,
        0.00124674,
        0.00118278,
        0.00118278,
        0.00118278,
        0.00113946,
        0.00112477,
        0.00112376,
        0.00112376,
        0.000970258,
        0.000970258,
        0.000886674,
        0.000869826,
        0.000869826,
        0.000869826,
        0.000819028,
        0.000819028,
        0.000869826,
        0.000869826,
        0.000970258,
        0.000970258,
        0.000869826,
        0.000827376,
        0.000869826,
        0.000869826,
        0.000869826,
        0.000839263,
        0.000869826,
        0.000869826,
        0.000847753,
        0.000847753,
        0.000869826,
        0.000847753,
        0.000839263,
        0.000847753,
        0.00102928,
        0.00103357,
        0.00103357,
        0.00103357,
        0.00102928,
        0.00102928,
        0.00102928,
        0.00103357,
        0.00116964,
        0.00116964,
        0.00103357,
        0.0011362,
        0.0011362,
        0.0011362,
        0.00103357,
        0.000998322,
        0.000890983,
        0.000998322,
        0.000998322,
        0.000998322,
        0.00100081,
        0.000998322,
        0.000998322,
        0.000890983,
        0.000998322,
        0.000998322,
        0.000904275,
        0.000904275,
        0.000998322,
        0.00100081,
        0.000998322,
        0.00096626,
        0.00096626,
        0.000904275,
        0.000904275,
        0.00096626,
        0.00100081,
        0.00100081,
        0.00100081,
        0.00100081,
        0.00100081,
        0.00104027,
        0.00100081,
        0.00100081,
        0.00096626,
        0.00100081,
        0.00100081,
        0.00100081,
        0.00096626,
        0.00096626,
        0.000919088,
        0.000904275,
        0.000904275,
        0.000919088,
        0.00096626,
        0.00096626,
        0.00104183,
        0.00111025,
        0.00104183,
        0.00104183,
        0.000986667,
        0.000986667,
        0.00104183,
        0.00109657,
        0.00111025,
        0.00111025,
        0.00109657,
        0.000986667,
        0.00096329,
        0.000919088,
        0.000919088,
        0.000919088,
        0.000915745,
        0.000919088,
        0.000915745,
        0.000919088,
        0.000915745,
        0.000919088,
        0.000915745,
        0.000915745,
        0.000941001,
        0.00096329,
        0.00096329,
        0.000986414,
        0.000986414,
        0.00096329,
        0.00096329,
        0.00096329,
        0.00096329,
        0.000941001,
        0.000941001,
        0.00096329,
        0.000986414,
        0.000986414,
        0.000986414,
        0.000986414,
        0.0010907,
        0.00121789,
        0.00124563,
        0.00126186,
        0.00128485,
        0.00128485,
        0.00128485,
        0.00128485,
        0.00128859,
        0.00128859,
        0.00128859,
        0.00128859,
        0.00128485,
        0.00128485,
        0.00128485,
        0.00127692,
        0.00126186,
        0.00126186,
        0.00126186,
        0.00126186,
        0.00126186,
        0.00126186,
        0.00121789,
        0.00118823,
        0.00121789,
        0.00118823,
        0.00114492,
        0.00114492,
        0.0011143,
        0.00103613,
        0.0010203,
        0.00100123,
        0.00100123,
        0.00100123,
        0.00100123,
        0.00100123,
        0.00100123,
        0.00100238,
        0.00100238,
        0.00100238,
        0.0010203,
        0.00103613,
        0.0011143,
        0.00118823,
        0.00118823,
        0.00118823,
        0.00134883,
        0.00134883,
        0.00134883,
        0.00134883,
        0.00138613,
        0.00140343,
        0.00138613,
        0.00140343,
        0.00140343,
        0.00140343,
        0.00140343,
        0.00140343,
        0.00140343,
        0.00140343,
        0.00140343,
        0.00140343,
        0.00140343,
        0.00144617,
        0.00144617,
        0.00144617,
        0.00146701,
        0.00144617,
        0.0012749,
        0.00113795,
        0.00107964,
        0.00107964,
        0.00105403,
        0.00100842,
        0.00100842,
        0.00105403,
        0.00105403,
        0.00105403,
        0.00106938,
        0.00107964,
        0.00106938,
        0.00106938,
        0.00105403,
        0.00104767,
        0.00102629,
        0.00104767,
        0.00105403,
        0.00104767,
        0.00104767,
        0.00104767,
        0.00104767,
        0.00104767,
        0.00106938,
        0.00106938,
        0.00106938,
        0.00104767,
        0.00104767,
        0.00102629,
        0.00104767,
        0.00104767,
        0.00106938,
        0.00108293,
        0.00108293,
        0.00113701,
        0.00115812,
        0.00115812,
        0.00115812,
        0.00115812,
        0.00115812,
        0.00115812,
        0.00115812,
        0.00125944,
        0.00115812,
        0.00125944,
        0.00125944,
        0.00125944,
        0.00125944,
        0.00125944,
        0.00125944,
        0.00125944,
        0.00125944,
        0.00127377,
        0.00129998,
        0.00127377,
        0.00127377,
        0.00125944,
        0.00125944,
        0.00123162,
        0.00125944,
        0.00127377,
        0.00127377,
        0.00127377,
        0.00127377,
        0.00127377,
        0.00127377,
        0.00123162,
        0.00118727,
        0.00118727,
        0.00118727,
        0.00118727,
        0.00118727,
        0.00118727,
        0.00118727,
        0.00118727,
        0.00115068,
        0.00118727,
        0.00123162,
        0.00118727,
        0.00118727,
        0.00123162,
        0.00123162,
        0.00123162,
        0.00123162,
        0.00123162,
        0.00126646,
        0.00137238,
        0.00138843,
        0.00138843,
        0.00138843,
        0.00137238,
        0.00137238,
        0.00137238,
        0.00137238,
        0.00138843,
        0.00137238,
        0.00126646,
        0.00126646,
        0.00137238,
        0.00126646,
        0.00137238,
        0.00138843,
        0.00137238,
        0.00137238,
        0.00137238,
        0.00137238,
        0.00137238,
        0.00118634,
        0.00118634,
        0.00138843,
        0.0012068,
        0.00118634,
        0.0012068,
        0.0012068,
        0.0012068,
        0.00118634,
        0.00115229,
        0.00115229,
        0.00115229,
        0.00111452,
        0.00111452,
        0.00118634,
        0.00118634,
        0.0012068,
        0.00111452,
        0.00111452,
        0.00111452,
        0.0012068,
        0.00120702,
        0.0012068,
        0.00120702,
        0.0012068,
        0.0012068,
        0.00120702,
        0.00120702,
        0.00120702,
        0.00122157,
        0.00122157,
        0.00122157,
        0.00122157,
        0.00122157,
        0.00127628,
        0.00129617,
        0.00130966,
        0.00130966,
        0.00130966,
        0.00134693,
        0.00134693,
        0.00134693,
        0.00137772,
        0.00137772,
        0.00137772,
        0.00137772,
        0.0014049,
        0.0014049,
        0.0014049,
        0.0014049,
        0.00148184,
        0.0014049,
        0.0014049,
        0.0014049,
        0.0014049,
        0.00148184,
        0.00148184,
        0.00148184,
        0.00148184,
        0.00148184,
        0.00148184,
        0.00148184,
        0.00148184,
        0.00148184,
        0.00148184,
        0.00148769,
        0.00148769,
        0.00148769,
        0.00148769,
        0.00148769,
        0.00148769,
        0.00148769,
        0.00148184,
        0.00148184,
        0.00148769,
        0.00155013,
        0.00161143,
        0.00163463,
        0.00163463,
        0.00163703,
        0.00163463,
        0.00161838,
        0.00161838,
        0.00155013,
        0.00155013,
        0.00155013,
        0.00161838,
        0.00155013,
        0.00155013,
        0.00155013,
        0.00155013,
        0.00155013,
        0.00155013,
        0.00155013,
        0.00137279,
        0.00137279,
        0.00137279,
        0.00137074,
        0.00137074,
        0.00135992,
        0.00135992,
        0.00135992,
        0.00135992,
        0.00135992,
        0.00129467,
        0.00128949,
        0.00128949,
        0.00128949,
        0.0012876,
        0.00127884,
        0.00127884,
        0.0012876,
        0.00127884,
        0.0012876,
        0.00128949,
        0.00129467,
        0.00129467,
        0.00129467,
        0.0013224,
        0.0013224,
        0.00129467,
        0.00129467,
        0.00129467,
        0.0013224,
        0.0013825,
        0.00149136,
        0.00157549,
        0.00162961,
        0.0016311,
        0.00165428,
        0.00172161,
        0.00165428,
        0.00165428,
        0.00165428,
        0.0018596,
        0.00195946,
        0.00195946,
        0.00195946,
        0.00195946,
        0.0020587,
        0.0020587,
        0.00195946,
        0.00195946,
        0.00195946,
        0.0018596,
        0.00165428,
        0.00165428,
        0.00165428,
        0.00162961,
        0.0016227,
        0.0016227,
        0.0016227,
        0.00157549,
        0.00157549,
        0.00156499,
        0.00156256,
        0.00156256,
        0.00156256,
        0.00156256,
        0.00156256,
        0.00147897,
        0.00145286,
        0.00145286,
        0.00145182,
        0.00145286,
        0.00145182,
        0.00144772,
        0.00144772,
        0.00144772,
        0.00144772,
        0.00144772,
        0.00145182,
        0.00145182,
        0.00145182,
        0.00144772,
        0.00144772,
        0.00145286,
        0.00144772,
        0.00145286,
        0.00144772,
        0.00142777,
        0.00139915,
        0.00139915,
        0.00137588,
        0.00136619,
        0.00137588,
        0.00136619,
        0.00136619,
        0.0013326,
        0.0012705,
        0.00126936,
        0.00115768,
        0.00115768,
        0.00115768,
        0.00126936,
        0.00126936,
        0.00126936,
        0.00126936,
        0.0012705,
        0.00126936,
        0.00123634,
        0.00123634,
        0.00119012,
        0.00119012,
        0.00119012,
        0.00123634,
        0.00123634,
        0.00119012,
        0.00102865,
        0.00102865,
        0.00102865,
        0.00119012,
        0.00123634,
        0.00123634,
        0.00123634,
        0.00123634,
        0.00119012,
        0.00123634,
        0.00119012,
        0.00119012,
        0.00119012,
        0.00119012,
        0.00123634,
        0.00123634,
        0.00119012,
        0.00119012,
        0.00119012,
        0.00123634,
        0.00119012,
        0.00119012,
        0.00127531,
        0.00128097,
        0.00128097,
        0.00137384,
        0.00137384,
        0.00128097,
        0.00128097,
        0.00128097,
        0.00137384,
        0.00137384,
        0.00137384,
        0.00128097,
        0.00128097,
        0.00128097,
        0.00128097,
        0.00137384,
        0.00128097,
        0.00137384,
        0.00128097,
        0.00137384,
        0.00137384,
        0.00138161,
        0.00138161,
        0.00137384,
        0.00138161,
        0.00138161,
        0.00141069,
        0.00141069,
        0.00141069,
        0.00141069,
        0.00128097,
        0.00128097,
        0.00141069,
        0.00131718,
        0.00127964,
        0.00127964,
        0.00131718,
        0.00141069,
        0.00141069,
        0.00131718,
        0.00131718,
        0.00127964,
        0.00128995,
        0.00128995,
        0.00128995,
        0.00131243,
        0.00128995,
        0.00131243,
        0.00128995,
        0.00128995,
        0.00127964,
        0.00128995,
        0.00128995,
        0.00131243,
        0.00131718,
        0.00131718,
        0.00146731,
        0.00131718,
        0.00146731,
        0.00131718,
        0.00146731,
        0.00147216,
        0.00146731,
        0.00131718,
        0.00146731,
        0.00147216,
        0.00147216,
        0.00146731,
        0.00131243,
        0.00147216,
        0.00149231,
        0.00149231,
        0.00150311,
        0.00152523,
        0.00154554,
        0.00155254,
        0.00154554,
        0.00154554,
        0.00154554,
        0.00154554,
        0.00154554,
        0.00157058,
        0.00170544,
        0.00157058,
        0.00154554,
        0.00152523,
        0.00151938,
        0.00151938,
        0.00151938,
        0.0015185,
        0.00151938,
        0.0015185,
        0.0015185,
        0.0015185,
        0.0015185,
        0.00149231,
        0.00144794,
        0.0014023,
        0.00144794,
        0.00149231,
        0.00144794,
        0.0014023,
        0.0014023,
        0.00139958,
        0.00138467,
        0.00138467,
        0.00138467,
        0.00126747,
        0.00126747,
        0.00124767,
        0.00122822,
        0.00122822,
        0.00120621,
        0.00120621,
        0.00120621,
        0.00120621,
        0.00120621,
        0.00120621,
        0.00120621,
        0.0011601,
        0.00120621,
        0.00120621,
        0.00120621,
        0.00117613,
        0.00117613,
        0.00117613,
        0.00120087,
        0.00124767,
        0.00124571,
        0.00120087,
        0.00117613,
        0.00113324,
        0.00117613,
        0.00120087,
        0.00120087,
        0.00122937,
        0.00120087,
        0.00120087,
        0.00122937,
        0.00120087,
        0.00122937,
        0.00122937,
        0.00124571,
        0.00124571,
        0.00124571,
        0.00124571,
        0.00124571,
        0.00124571,
        0.00124571,
        0.00124571,
        0.00124571,
        0.00124571,
        0.00124571,
        0.00122937,
        0.00122937,
        0.00124571,
        0.00128659,
        0.00124571,
        0.00122937,
        0.00121811,
        0.00121811,
        0.00122937,
        0.00128659,
        0.00128659,
        0.00121811,
        0.00128659,
        0.00130979,
        0.00134149,
        0.00130979,
        0.00125677,
        0.00125677,
        0.00121811,
        0.00121811,
        0.00116666,
        0.00121811,
        0.00121811,
        0.00123094,
        0.00123094,
        0.00121811,
        0.00116666,
        0.00111547,
        0.00116666,
        0.00116666,
        0.00116666,
        0.00121811,
        0.00121811,
        0.00111547,
        0.00111547,
        0.00111547,
        0.00110706,
        0.00110706,
        0.00111547,
        0.00110706,
        0.00110706,
        0.00110706,
        0.00110706,
        0.00109625,
        0.00109625,
        0.00108952,
        0.00108952,
        0.00106619,
        0.00108952,
        0.00108952,
        0.00107741,
        0.00106619,
        0.00105967,
        0.00105967,
        0.00105967,
        0.00106056,
        0.00106619,
        0.00107741,
        0.00109625,
        0.00107741,
        0.00106056,
        0.00106056,
        0.00106056,
        0.00107741,
        0.00107741,
        0.00106056,
        0.00107741,
        0.00115257,
        0.00115257,
        0.00115257,
        0.00115257,
        0.00115257,
        0.00115257,
        0.00115257,
        0.00115257,
        0.001112,
        0.001112,
        0.001112,
        0.00111202,
        0.00111202,
        0.00111202,
        0.00115257,
        0.00125028,
        0.00128067,
        0.00128067,
        0.00135559,
        0.00135559,
        0.00135559,
        0.00128067,
        0.00128067,
        0.00128438,
        0.00135559,
        0.00135559,
        0.00128438,
        0.00128438,
        0.00128438,
        0.00128438,
        0.0012376,
        0.0012376,
        0.00128438,
        0.0012376,
        0.00128438,
        0.0012376,
        0.00128438,
        0.00128438,
        0.00136874,
        0.00136874,
        0.00143586,
        0.00143586,
        0.00143586,
        0.00139304,
        0.00139304,
        0.00139304,
        0.00139304,
        0.00139304,
        0.00143586,
        0.00143586,
        0.00143777,
        0.00143777,
        0.00146291,
        0.00146291,
        0.00143777,
        0.00139304,
        0.0014324,
        0.00143777,
        0.00146291,
        0.00143777,
        0.00143777,
        0.00146291,
        0.00146291,
        0.00143777,
        0.00143777,
        0.00143777,
        0.00143777,
        0.0014324,
        0.00139304,
        0.00130773,
        0.00130773,
        0.00121333,
        0.00121333,
        0.00121333,
        0.00114383,
        0.00130773,
        0.00114383,
        0.00114383,
        0.00114383,
        0.00106939,
        0.00104055,
        0.00104055,
        0.00104055,
        0.00104055,
        0.00106939,
        0.00106939,
        0.00114383,
        0.00114383,
        0.00114383,
        0.00106939,
        0.00114383,
        0.00114383,
        0.00106939,
        0.00106939,
        0.00114383,
        0.00114383,
        0.00104055,
        0.00104055,
        0.00122,
        0.00122,
        0.00124904,
        0.00124904,
        0.00128806,
        0.00128806,
        0.00124904,
        0.00128806,
        0.00124904,
        0.00128806,
        0.00124904,
        0.00122,
        0.00124904,
        0.00128806,
        0.00124904,
        0.00125221,
        0.00124904,
        0.00122,
        0.00124904,
        0.00124904,
        0.00122,
        0.00116373,
        0.00122,
        0.00122,
        0.00124904,
        0.00125221,
        0.00124904,
        0.00124904,
        0.00124904,
        0.00124904,
        0.00124904,
        0.00119925,
        0.00116373,
        0.00115526,
        0.00116373,
        0.00116373,
        0.00116373,
        0.00119925,
        0.00116373,
        0.00116373,
        0.00115526,
        0.00115526,
        0.00116373,
        0.00115526,
        0.00115526,
        0.00115526,
        0.00115105,
        0.00115526,
        0.00116373,
        0.00116373,
        0.00116373,
        0.00119925,
        0.00119925,
        0.00119925,
        0.00115526,
        0.00115105,
        0.00112059,
        0.00110898,
        0.00109542,
        0.00109542,
        0.00110898,
        0.00110898,
        0.00109474,
        0.00109474,
        0.00108849,
        0.00108849,
        0.00108849,
        0.00110898,
        0.00110898,
        0.00113632,
        0.00116454,
        0.00118838,
        0.0012039,
        0.0012039,
        0.0012039,
        0.0012039,
        0.00120458,
        0.00120458,
        0.0012301,
        0.00120458,
        0.00120458,
        0.00118838,
        0.00118838,
        0.00120458,
        0.00118838,
        0.00118838,
        0.00120458,
        0.00123419,
        0.00144754,
        0.00144754,
        0.00151477,
        0.00144754,
        0.00153609,
        0.00153609,
        0.00153609,
        0.00153609,
        0.00153609,
        0.00153609,
        0.00153609,
        0.00153609,
        0.00153609,
        0.00153609,
        0.00143882,
        0.00141441,
        0.00143882,
        0.00143882,
        0.00143882,
        0.00153609,
        0.00153979,
        0.00153609,
        0.00153609,
        0.00153609,
        0.00153979,
        0.00153979,
        0.00153979,
        0.00157623,
        0.00164981,
        0.00164981,
        0.00157623,
        0.00164981,
        0.00164981,
        0.00164981,
        0.00172933,
        0.00172933,
        0.00172933,
        0.00172933,
        0.00172933,
        0.00172933,
        0.00172933,
        0.00172933,
        0.00153979,
        0.00153979,
        0.00153979,
        0.00172933,
        0.00172933,
        0.00172933,
        0.00172933,
        0.00170833,
        0.00170833,
        0.00149478,
        0.00149478,
        0.00149478,
        0.00139759,
        0.00139562,
        0.00130414,
        0.00129846,
        0.00129835,
        0.00129835,
        0.00129835,
        0.00129846,
        0.00129846,
        0.00129846,
        0.00129846,
        0.00129846,
        0.00130414,
        0.00129846,
        0.00130414,
        0.00130414,
        0.00139562,
        0.00152695,
        0.00160183,
        0.00162253,
        0.00162253,
        0.00160183,
        0.00160183,
        0.00160183,
        0.00152695,
        0.00152695,
        0.0014328,
        0.00151089,
        0.00152695,
        0.00160183,
        0.00162253,
        0.0016598,
        0.00177639,
        0.00177639,
        0.00177639,
        0.00187891,
        0.00187891,
        0.00182428,
        0.00177639,
        0.0016598,
        0.0016598,
        0.00162253,
        0.00161479,
        0.00160183,
        0.00160183,
        0.00154211,
        0.00154211,
        0.00154211,
        0.00154211,
        0.00151089,
        0.00151089,
        0.00151089,
        0.00154211,
        0.00154211,
        0.00161479,
        0.00161479,
        0.00182428,
        0.00182428,
        0.00189387,
        0.00189387,
        0.00189387,
        0.00189387,
        0.00189387,
        0.00189387,
        0.00195002,
        0.00196662,
        0.00196662,
        0.00196662,
        0.00196662,
        0.00196662,
        0.00196662,
        0.00196662,
        0.00196662,
        0.00196704,
        0.00196704,
        0.00207792,
        0.00207813,
        0.00207792,
        0.00207813,
        0.00207792,
        0.00207792,
        0.00207792,
        0.00207792,
        0.0020575,
        0.00196704,
        0.00196662,
        0.00196662,
        0.0019061,
        0.0019061,
        0.0019061,
        0.0019061,
        0.00188373,
        0.00182729,
        0.00182729,
        0.00182729,
        0.00166373,
        0.00157884,
        0.0015514,
        0.0015514,
        0.00150561,
        0.00150561,
        0.00157884,
        0.00157884,
        0.00169016,
        0.00157884,
        0.00157884,
        0.00157884,
        0.00146965,
        0.00157884,
        0.00154876,
        0.00146965,
        0.00154876,
        0.00154876,
        0.00146965,
        0.00146965,
        0.00146965,
        0.00154876,
        0.00169016,
        0.0019218,
        0.00202381,
        0.0019218,
        0.0019218,
        0.00202381,
        0.00204521,
        0.00202381,
        0.00204521,
        0.00204521,
        0.0021803,
        0.00227988,
        0.00231643,
        0.00231643,
        0.00231643,
        0.0021803,
        0.00231643,
        0.0021803,
        0.0021803,
        0.0021803,
        0.00204521,
        0.00204521,
        0.00189616,
        0.00204521,
        0.00204521,
        0.00189616,
        0.00189616,
        0.00189616,
        0.00189616,
        0.00198907,
        0.00198907,
        0.00189616,
        0.00189616,
        0.00183269,
        0.00189616,
        0.00183269,
        0.00183269,
        0.00183098,
        0.00182749,
        0.00177259,
        0.00177477,
        0.00177259,
        0.00176341,
        0.00176341,
        0.00177259,
        0.00176341,
        0.00176341,
        0.00168952,
        0.00172948,
        0.00176341,
        0.00172948,
        0.00172948,
        0.00176341,
        0.00176341,
        0.00176341,
        0.00172948,
        0.00176341,
        0.00172948,
        0.00168952,
        0.00168952,
        0.00168952,
        0.00159436,
        0.00168952,
        0.00168952,
        0.00168952,
        0.00168952,
        0.00172948,
        0.00168952,
        0.00159436,
        0.00159436,
        0.00160615,
        0.00160615,
        0.00160615,
        0.00172948,
        0.00172948,
        0.00160615,
        0.00160615,
        0.00172948,
        0.00172948,
        0.00160615,
        0.00160615,
        0.00160615,
        0.00179085,
        0.00179085,
        0.00179085,
        0.00179085,
        0.00179085,
        0.00160615,
        0.00179085,
        0.00188406,
        0.00179085,
        0.00160615,
        0.00174435,
        0.00174435,
        0.00174435,
        0.00174435,
        0.00173568,
        0.00173568,
        0.00174435,
        0.00174435,
        0.00174435,
        0.00177876,
        0.00177876,
        0.00177876,
        0.00174435,
        0.00173568,
        0.00174435,
        0.00174435,
        0.00173568,
        0.00173568,
        0.00174435,
        0.00174435,
        0.00174435,
        0.00174435,
        0.00173568,
        0.00173568,
        0.00172932,
        0.00173568,
        0.00173568,
        0.00172932,
        0.00172932,
        0.00172932,
        0.00173568,
        0.00172932,
        0.00172932,
        0.00164864,
        0.00172932,
        0.00164864,
        0.00162492,
        0.00159027,
        0.00159027,
        0.00159027,
        0.0013978,
        0.00129647,
        0.0013978,
        0.0013978,
        0.0013978,
        0.00131328,
        0.00130475,
        0.00130475,
        0.00130475,
        0.00129647,
        0.00129647,
        0.00125542,
        0.00125542,
        0.00116391,
        0.00116391,
        0.00116391,
        0.00116391,
        0.00116391,
        0.00112855,
        0.00112855,
        0.00112855,
        0.0011007,
        0.0011007,
        0.0011007,
        0.0011007,
        0.0011007,
        0.0011007,
        0.0011007,
        0.00112855,
        0.00116391,
        0.00116391,
        0.00116481,
        0.00130475,
        0.00130475,
        0.00130475,
        0.00116481,
        0.00144386,
        0.00145285,
        0.00145518,
        0.00145518,
        0.00155355,
        0.00156004,
        0.00156004,
        0.00155355,
        0.00155355,
        0.00155355,
        0.00155355,
        0.00145285,
        0.00144386,
        0.00145285,
        0.00144386,
        0.00144386,
        0.00145285,
        0.00145285,
        0.00144386,
        0.00144386,
        0.00130941,
        0.00144386,
        0.00144386,
        0.00130941,
        0.00130941,
        0.00144386,
        0.00130941,
        0.00130941,
        0.00128265,
        0.00128265,
        0.00130941,
        0.00130941,
        0.00130941,
        0.00128265,
        0.00130941,
        0.00130941,
        0.00128265,
        0.00128265,
        0.00128265,
        0.00128265,
        0.00143244,
        0.00147843,
        0.00147843,
        0.00147843,
        0.00143244,
        0.00147843,
        0.00147843,
        0.00143244,
        0.00123272,
        0.00143244,
        0.00143244,
        0.00147843,
        0.00143244,
        0.00147843,
        0.00151901,
        0.00151901,
        0.00151901,
        0.00151901,
        0.00148106,
        0.00148106,
        0.00147843,
        0.00143244,
        0.00117294,
        0.00117294,
        0.00147843,
        0.00147843,
        0.00138633,
        0.00138633,
        0.00138633,
        0.00114641,
        0.00114641,
        0.00114641,
        0.00114641,
        0.00111596,
        0.00111596,
        0.00111596,
        0.00111596,
        0.00118918,
        0.00118918,
        0.00138633,
        0.00130605,
        0.00118918,
        0.00118918,
        0.00130605,
        0.00127397,
        0.00118918,
        0.00111596,
        0.00111033,
        0.00111033,
        0.00111033,
        0.00111596,
        0.00111033,
        0.00118918,
        0.00118918,
        0.00111033,
        0.00110503,
        0.00109521,
        0.00109521,
        0.00110503,
        0.00111033,
        0.00115482,
        0.00118918,
        0.00115482,
        0.00115482,
        0.00118918,
        0.00127397,
        0.00130605,
        0.00130605,
        0.00130605,
        0.00131242,
        0.00130605,
        0.00131242,
        0.00131242,
        0.00127397,
        0.00127397,
        0.00131242,
        0.00131242,
        0.00131242,
        0.00131242,
        0.00141032,
        0.00141032,
        0.00141032,
        0.00142835,
        0.00144836,
        0.00145876,
        0.00152874,
        0.00160211,
        0.00165502,
        0.00165502,
        0.00165502,
        0.00165502,
        0.00206905,
        0.00206905,
        0.00227702,
        0.00227702,
        0.00206905,
        0.00206905,
        0.00204379,
        0.00204379,
        0.00204379,
        0.00221602,
        0.00221602,
        0.00214211,
        0.00214211,
        0.00221602,
        0.00214211,
        0.00221602,
        0.00230641,
        0.00237002,
        0.00237002,
        0.00240961,
        0.00240961,
        0.00252565,
        0.00253188,
        0.00253188,
        0.00270196,
        0.00270196,
        0.0027735,
        0.0027735,
        0.00305555,
        0.00305555,
        0.00308107,
        0.00308107,
        0.00328615,
        0.00328615,
        0.00328615,
        0.00328615,
        0.0033458,
        0.00336365,
        0.00346144,
        0.00355197,
        0.00366237,
        0.00370804,
        0.00414047,
        0.0041878,
        0.00419968,
        0.00419968,
        0.0042214,
        0.00425625,
        0.00426085,
        0.00434977,
        0.00447797,
        0.00465812,
        0.00465812,
        0.00465812,
        0.00465812,
        0.00469059,
        0.00470091,
        0.00472067,
        0.00470091,
        0.00470091,
        0.00470091,
        0.00470091,
        0.00470091,
        0.00469059,
        0.00465812,
        0.00434977,
        0.00434977,
        0.00428644,
        0.00426085,
        0.00420256,
        0.00420256,
        0.00415121,
        0.00402447,
        0.00392989,
        0.0038182,
        0.0037777,
        0.0037777,
        0.00341801,
        0.00341058,
        0.00333515,
        0.00333515,
        0.00322075,
        0.00301803,
        0.00301803,
        0.00322075,
        0.00322075,
        0.00301803,
        0.00291558,
        0.00287166,
        0.00287166,
        0.00287166,
        0.00286062,
        0.00268121,
        0.00268121,
        0.00286062,
        0.00268121,
        0.00268121,
        0.00268121,
        0.00286062,
        0.00286062,
        0.00287166,
        0.00291558,
        0.00313362,
        0.00318781,
        0.00322075,
        0.00323836,
        0.00335243,
        0.00335243,
        0.00371651,
        0.00380756,
        0.00385968,
        0.00385968,
        0.00388626,
        0.00394285,
        0.00394285,
        0.00394907,
        0.00401906,
        0.00401906,
        0.00420365,
        0.0044096,
        0.00444481,
        0.00446795,
        0.00447569,
        0.00447569,
        0.00447569,
        0.00455311,
        0.00456621,
        0.00469952,
        0.00469952,
        0.00469952,
        0.00469952,
        0.00486291,
        0.00495353,
        0.00505813,
        0.00495353,
        0.00495353,
        0.00499635,
        0.00499635,
        0.00495353,
        0.00495353,
        0.00495353,
        0.00499635,
        0.00499635,
        0.00499635,
        0.00495353,
        0.00494189,
        0.00486291,
        0.00486291,
        0.00486291,
        0.00486291,
        0.00484847,
        0.00484847,
        0.00469952,
        0.00466861,
        0.00466861,
        0.00461581,
        0.00459179,
        0.00435496,
        0.00432803,
        0.00432803,
        0.00429096,
        0.00396255,
        0.00393602,
        0.00391292,
        0.00383299,
        0.00362268,
        0.00362268,
        0.00359947,
        0.00359947,
        0.00359947,
        0.00358567,
        0.0034884,
        0.00334924,
        0.00326864,
        0.00326864,
        0.00326624,
        0.00317352,
        0.00310081,
        0.00304625,
        0.00299576,
        0.00283742,
        0.00279594,
        0.0027388,
        0.00271355,
        0.00271355,
        0.00268538,
        0.00264633,
        0.00262004,
        0.00262004,
        0.00262004,
        0.00262004,
        0.00255076,
        0.00255076,
        0.00255076,
        0.00225046,
        0.00225046,
        0.00221014,
        0.00221014,
        0.002089,
        0.00207058,
        0.00186384,
        0.00186368,
        0.00186368,
        0.00175626,
        0.00165677,
        0.00162309,
        0.00162309,
        0.00162309,
        0.00159158,
        0.00162309,
        0.00162309,
        0.00162309,
        0.00159158,
        0.00162309,
        0.00162309,
        0.00162309,
        0.00162309,
        0.00162309,
        0.00162309,
        0.00162309,
        0.00162309,
        0.00159158,
        0.00162309,
        0.00162309,
        0.00165677,
        0.00162309,
        0.00154519,
        0.00154519,
        0.00154519,
        0.00162309,
        0.00162309,
        0.00162309,
        0.00154519,
        0.00145056,
        0.00154519,
        0.00167822,
        0.00178481,
        0.00167822,
        0.00154519,
        0.00167822,
        0.00154519,
        0.00145056,
        0.00144496,
        0.00144496,
        0.00144496,
        0.00144496,
        0.00144496,
        0.00145056,
        0.00145056,
        0.00146099,
        0.00145056,
        0.00146099,
        0.00146099,
        0.00145056,
        0.00145056,
        0.00144496,
        0.00142714,
        0.00142714,
        0.00145056,
        0.00145056,
        0.00142714,
        0.00145056,
        0.00146099,
        0.0015856,
        0.0015856,
        0.0015856,
        0.0015856,
        0.00146099,
        0.0015856,
        0.0015856,
        0.0015856,
        0.0017647,
        0.00182133,
        0.00187607,
        0.00187847,
        0.00194341,
        0.00194341,
        0.00194341,
        0.00194341,
        0.00195808,
        0.00200003,
        0.00200334,
        0.00205854,
        0.00206331,
        0.00206331,
        0.00206331,
        0.00206331,
        0.00207446,
        0.00215111,
        0.00215111,
        0.00227514,
        0.00239401,
        0.00239401,
        0.00259452,
        0.00239401,
        0.00239401,
        0.00259452,
        0.00264334,
        0.00267059,
        0.00267059,
        0.00267059,
        0.00267059,
        0.00270095,
        0.00267059,
        0.00267059,
        0.00270095,
        0.00274977,
        0.00277508,
        0.00277508,
        0.00277508,
        0.00279247,
        0.00280033,
        0.00290478,
        0.00290478,
        0.00293551,
        0.0032794,
        0.0032794,
        0.00341384,
        0.00389686,
        0.00403049,
        0.00412248,
        0.00419524,
        0.00419975,
        0.00446991,
        0.00451298,
        0.00477379,
        0.00477379,
        0.00477379,
        0.00479557,
        0.00511641,
        0.00511641,
        0.00511641,
        0.00518964,
        0.00518964,
        0.00526383,
        0.00526383,
        0.00526383,
        0.00537585,
        0.00537585,
        0.00526383,
        0.00530477,
        0.00530477,
        0.00560698,
        0.00530477,
        0.00530477,
        0.00530477,
        0.00526383,
        0.00526383,
        0.00511641,
        0.00506845,
        0.00477379,
        0.00477379,
        0.00477379,
        0.00466168,
        0.00466168,
        0.00457759,
        0.00455892,
        0.00455892,
        0.00426403,
        0.00426403,
        0.00407714,
        0.00407714,
        0.00426403,
        0.00407714,
        0.00426403,
        0.00407714,
        0.00426403,
        0.00407714,
        0.00405558,
        0.00407714,
        0.00407714,
        0.00405558,
        0.00395896,
        0.00395896,
        0.00405558,
        0.00395896,
        0.00389085,
        0.00376847,
        0.00376847,
        0.00376847,
        0.00369237,
        0.00376847,
        0.00376847,
        0.00369237,
        0.00369237,
        0.00302192,
        0.00369237,
        0.00369237,
        0.00369237,
        0.00376847,
        0.00376847,
        0.00389085,
        0.00389085,
        0.00389085,
        0.00413622,
        0.00413622,
        0.00424784,
        0.00424784,
        0.00428165,
        0.00439583,
        0.00451759,
        0.00453754,
        0.00453754,
        0.00453754,
        0.00472757,
        0.00472757,
        0.00477986,
        0.00490277,
        0.00490277,
        0.00507694,
        0.00490277,
        0.00519659,
        0.00519659,
        0.00519659,
        0.00529148,
        0.00529148,
        0.00529148,
        0.00519659,
        0.00519659,
        0.00519659,
        0.00507356,
        0.00507356,
        0.00507356,
        0.00507356,
        0.00507356,
        0.00492298,
        0.00492298,
        0.00492298,
        0.00492298,
        0.00492298,
        0.00488772,
        0.00423333,
        0.00423333,
        0.00488772,
        0.00488948,
        0.00488772,
        0.00488948,
        0.00488948,
        0.00488772,
        0.00488772,
        0.00488772,
        0.00488948,
        0.00488948,
        0.00488772,
        0.00488948,
        0.00488948,
        0.00492298,
        0.00505865,
        0.00507356,
        0.00514864,
        0.00520424,
        0.00547764,
        0.00547764,
        0.00547764,
        0.00547764,
        0.00547764,
        0.00547764,
        0.00547764,
        0.00547764,
        0.00547764,
        0.00547764,
        0.00567861,
        0.00567861,
        0.00567861,
        0.00567861,
        0.00567861,
        0.00577133,
        0.00577133,
        0.00577133,
        0.005789,
        0.005789,
        0.005789,
        0.005789,
        0.00577133,
        0.005789,
        0.00580935,
        0.005789,
        0.005789,
        0.00580935,
        0.00580935,
        0.00590289,
        0.005789,
        0.00590289,
        0.0061321,
        0.00590289,
        0.00590289,
        0.00590289,
        0.00595685,
        0.0061321,
        0.0061321,
        0.00625678,
        0.00625678,
        0.00625678,
        0.00627088,
        0.00627088,
        0.00645921,
        0.00675489,
        0.00675489,
        0.0071363,
        0.0072043,
        0.00747738,
        0.00760319,
        0.00760319,
        0.00830274,
        0.00854403,
        0.00854403,
        0.00875867,
        0.0087688,
        0.00928805,
        0.00940688,
        0.00943264,
        0.00947725,
        0.00953138,
        0.00953138,
        0.00954325,
        0.00977492,
        0.00996404,
        0.00996404,
        0.00996404,
        0.0100063,
        0.00996404,
        0.0100063,
        0.010276,
        0.0104985,
        0.0105608,
        0.0105608,
        0.0105608,
        0.0105696,
        0.0107609,
        0.0105696,
        0.0105696,
        0.0105696,
        0.0107609,
        0.0105696,
        0.0105696,
        0.0105696,
        0.0107609,
        0.0105696,
        0.0105696,
        0.0107609,
        0.0105696,
        0.0107609,
        0.0105696,
        0.0104985,
        0.0104258,
        0.0103482,
        0.0103482,
        0.0101773,
        0.0101773,
        0.0101773,
        0.00978375,
        0.00978375,
        0.00978375,
        0.00972929,
        0.00969585,
        0.00967551,
        0.00967551,
        0.00969585,
        0.00967551,
        0.00958734,
        0.00951095,
        0.00946378,
        0.00946378,
        0.00901394,
        0.00888763,
        0.00871325,
        0.00861976,
        0.00861976,
        0.00861636,
        0.00853481,
        0.0085062,
        0.0085062,
        0.00841532,
        0.00841532,
        0.00841532,
        0.00841532,
        0.00841532,
        0.00805733,
        0.00799601,
        0.0078216,
        0.0078216,
        0.0078216,
        0.0078216,
        0.0078216,
        0.0078216,
        0.00799601,
        0.00805733,
        0.00799601,
        0.00799601,
        0.00799601,
        0.00783798,
        0.00783798,
        0.00783798,
        0.00783798,
        0.00783798,
        0.00797325,
        0.00783798,
        0.00797325,
        0.00783798,
        0.0078216,
        0.0078216,
        0.0078216,
        0.00783798,
        0.00783798,
        0.00783798,
        0.0078216,
        0.00773878,
        0.00773878,
        0.0078216,
        0.00783798,
        0.00783798,
        0.00773878,
        0.0074536,
        0.00730902,
        0.0072053,
        0.00697442,
        0.00692139,
        0.0069198,
        0.00646847,
        0.00639979,
        0.00639979,
        0.00633314,
        0.00633314,
        0.00633314,
        0.00629188,
        0.00629188,
        0.0062159,
        0.0062159,
        0.0062159,
        0.00613547,
        0.00596692,
        0.00596692,
        0.00595599,
        0.00595599,
        0.00575085,
        0.00575085,
        0.00595599,
        0.00595599,
        0.00575085,
        0.00539233,
        0.00516458,
        0.00513032,
        0.00516458,
        0.00513032,
        0.00508869,
        0.00498352,
        0.00468882,
        0.00466479,
        0.00466479,
        0.00466479,
        0.00464483,
        0.00451902,
        0.00451902,
        0.00438855,
        0.00428252,
        0.00412762,
        0.00408405,
        0.00408405,
        0.00412762,
        0.00402862,
        0.00372825,
        0.0037237,
        0.0037237,
        0.00356294,
        0.00348493,
        0.00348493,
        0.00356294,
        0.00356294,
        0.00356294,
        0.00356294,
        0.00356294,
        0.00356294,
        0.0037082,
        0.00356294,
        0.00348493,
        0.00348493,
        0.00348493,
        0.00336129,
        0.0033439,
        0.0033439,
        0.00333049,
        0.0033439,
        0.00336129,
        0.00348493,
        0.0037082,
        0.0037082,
        0.00379762,
        0.00403709,
        0.00403709,
        0.00403709,
        0.00403709,
        0.00412779,
        0.00412779,
        0.00412779,
        0.00414462,
        0.00414462,
        0.00418559,
        0.00431194,
        0.00431194,
        0.00437999,
        0.00431194,
        0.00431194,
        0.00412779,
        0.00409773,
        0.00412779,
        0.0041453,
        0.00431194,
        0.0041453,
        0.0041453,
        0.0041453,
        0.00412779,
        0.00412779,
        0.00412779,
        0.00409773,
        0.00398866,
        0.00384559,
        0.00398866,
        0.00398866,
        0.00384559,
        0.00384559,
        0.00384559,
        0.00384559,
        0.00370176,
        0.00370176,
        0.00359947,
        0.00359947,
        0.00370176,
        0.00370176,
        0.00359947,
        0.00359947,
        0.00357103,
        0.00359947,
        0.00359947,
        0.00359947,
        0.00357037,
        0.00357037,
        0.00357037,
        0.00357037,
        0.0034759,
        0.0034557,
        0.0034759,
        0.00357037,
        0.00357037,
        0.0034759,
        0.00361131,
        0.00361131,
        0.0037791,
        0.0037791,
        0.00361131,
        0.00361131,
        0.00359361,
        0.0035549,
        0.0035549,
        0.0035549,
        0.00359361,
        0.00359361,
        0.0035549,
        0.0034759,
        0.0034759,
        0.0034759,
        0.0034759,
        0.0034557,
        0.0033691,
        0.0034557,
        0.0035549,
        0.00359361,
        0.0035549,
        0.0035549,
        0.0034557,
        0.0033691,
        0.0035549,
        0.0035549,
        0.0033691,
        0.00328108,
        0.00328108,
        0.00320725,
        0.00320725,
        0.00292192,
        0.00292192,
        0.00278893,
        0.00266735,
        0.00266735,
        0.00266735,
        0.00278893,
        0.00278893,
        0.00253831,
        0.00278893,
        0.00292192,
        0.00320725,
        0.00292192,
        0.00292192,
        0.00253831,
        0.00253831,
        0.00292192,
        0.00253831,
        0.00253831,
        0.00231755,
        0.00253831,
        0.00253831,
        0.00292192,
        0.0029807,
        0.00292192,
        0.00292192,
        0.0029807,
        0.00304486,
        0.00346131,
        0.00382265,
        0.00382265,
        0.00382265,
        0.00368628,
        0.00382265,
        0.00382265,
        0.00382265,
        0.00368628,
        0.00368628,
        0.00381683,
        0.00382265,
        0.00381683,
        0.00381683,
        0.00381683,
        0.00382265,
        0.00382265,
        0.0038342,
        0.0038342,
        0.00388222,
        0.00398172,
        0.00388222,
        0.00388222,
        0.0038342,
        0.0038342,
        0.0038342,
        0.0038342,
        0.0038342,
        0.0038342,
        0.00381683,
        0.00374477,
        0.00374477,
        0.00374477,
        0.00373266,
        0.00374477,
        0.00374477,
        0.00374477,
        0.00381683,
        0.00407574,
        0.00407574,
        0.00418042,
        0.00418042,
        0.00418042,
        0.00435195,
        0.00435195,
        0.00418042,
        0.00418042,
        0.00418042,
        0.00418042,
        0.00435195,
        0.00418042,
        0.00385977,
        0.00418042,
        0.00435195,
        0.00435195,
        0.00467768,
        0.00467768,
        0.00467768,
        0.00467768,
        0.0048134,
        0.0048134,
        0.0048134,
        0.0048134,
        0.00520032,
        0.00520032,
        0.00486892,
        0.00486892,
        0.00486892,
        0.00486892,
        0.00516661,
        0.00516661,
        0.00520032,
        0.00520032,
        0.00516661,
        0.00486892,
        0.00516661,
        0.00520032,
        0.00516661,
        0.00533305,
        0.0052038,
        0.00516661,
        0.0052038,
        0.00533305,
        0.00533305,
        0.00533305,
        0.00581042,
        0.00588056,
        0.00588056,
        0.00611934,
        0.00624434,
        0.00641816,
        0.0071263,
        0.00755637,
        0.00755637,
        0.00755637,
        0.00755637,
        0.00782979,
        0.00782979,
        0.00789077,
        0.00789863,
        0.00789863,
        0.00798932,
        0.00798932,
        0.00789863,
        0.00798932,
        0.00798932,
        0.00789863,
        0.00789863,
        0.00789863,
        0.00782979,
        0.00789863,
        0.00789863,
        0.00789863,
        0.00789863,
        0.00782979,
        0.0077329,
        0.00772199,
        0.00755637,
        0.00772199,
        0.00733257,
        0.00732001,
        0.00733257,
        0.00733257,
        0.00732001,
        0.00681607,
        0.00732001,
        0.00732001,
        0.00732001,
        0.00732001,
        0.00681607,
        0.00677745,
        0.00656099,
        0.00656099,
        0.00640524,
        0.00640524,
        0.00623459,
        0.00623459,
        0.00615802,
        0.00585012,
        0.00615802,
        0.00585012,
        0.00566821,
        0.00566821,
        0.00566821,
        0.00554368,
        0.00566821,
        0.00566821,
        0.00567965,
        0.00566821,
        0.00554368,
        0.00554368,
        0.00554368,
        0.00554368,
        0.00551311,
        0.00554368,
        0.00554368,
        0.00551311,
        0.00546086,
        0.00546086,
        0.00551311,
        0.00551311,
        0.00554368,
        0.00554368,
        0.00551311,
        0.00551311,
        0.00554368,
        0.00551311,
        0.00551311,
        0.00551311,
        0.00567965,
        0.00567965,
        0.00567965,
        0.00599797,
        0.00603316,
        0.00603316,
        0.00624942,
        0.00624942,
        0.00603316,
        0.00603316,
        0.00624942,
        0.00639447,
        0.00639447,
        0.00639447,
        0.00624942,
        0.00624942,
        0.00603316,
        0.00599797,
        0.00599797,
        0.00599797,
        0.00599797,
        0.00569387,
        0.00569387,
        0.00569387,
        0.00599797,
        0.00624942,
        0.00624942,
        0.00624942,
        0.00632887,
        0.00632887,
        0.00632887,
        0.00632887,
        0.00634519,
        0.00634519,
        0.00632887,
        0.00632887,
        0.00632887,
        0.00632887,
        0.00627993,
        0.00627993,
        0.00632887,
        0.00632887,
        0.00627993,
        0.00632887,
        0.00627993,
        0.00632887,
        0.00632887,
        0.00634519,
        0.00701162,
        0.0072039,
        0.00727022,
        0.00727022,
        0.00727022,
        0.0074426,
        0.00771235,
        0.00774536,
        0.00845953,
        0.00848814,
        0.00858949,
        0.00863563,
        0.00880746,
        0.00880746,
        0.0091125,
        0.0091125,
        0.00916369,
        0.00916369,
        0.00916369,
        0.00916369,
        0.00916369,
        0.00923194,
        0.00932468,
        0.00923829,
        0.00923194,
        0.00923194,
        0.00923194,
        0.00923829,
        0.00923829,
        0.00923829,
        0.00923194,
        0.00916369,
        0.00916369,
        0.00880746,
        0.00880746,
        0.00916369,
        0.00880746,
        0.00838922,
        0.0082271,
        0.0082271,
        0.0082158,
        0.0082158,
        0.0082158,
        0.00788551,
        0.00788551,
        0.00788551,
        0.0082158,
        0.00788551,
        0.0082158,
        0.0082271,
        0.00838922,
        0.00921745,
        0.00921745,
        0.00862432,
        0.00862432,
        0.00921745,
        0.00937201,
        0.00943683,
        0.00943683,
        0.0095254,
        0.00960244,
        0.00964141,
        0.0103708,
        0.0108362,
        0.0109647,
        0.0109819,
        0.0110638,
        0.0110638,
        0.0114842,
        0.0116159,
        0.0116159,
        0.0127013,
        0.0127013,
        0.0127334,
        0.0127334,
        0.0127334,
        0.0127334,
        0.0127334,
        0.0131145,
        0.0134817,
        0.0134817,
        0.0134817,
        0.0134817,
        0.0134817,
        0.0135127,
        0.0134817,
        0.0131145,
        0.0127334,
        0.0126283,
        0.0126283,
        0.0126283,
        0.0126283,
        0.0126011,
        0.0121755,
        0.0126011,
        0.0126283,
        0.0126011,
        0.0123081,
        0.0126011,
        0.0126011,
        0.0126011,
        0.0126283,
        0.0126283,
        0.0126011,
        0.0126011,
        0.0126283,
        0.0126283,
        0.0126283,
        0.0126011,
        0.0124563,
        0.0123081,
        0.0122071,
        0.0122071,
        0.0123081,
        0.0123081,
        0.0123081,
        0.0124563,
        0.0125859,
        0.0126466,
        0.0126466,
        0.0126466,
        0.0125859,
        0.0125849,
        0.0125859,
        0.0126466,
        0.0126466,
        0.0125859,
        0.0126466,
        0.0127375,
        0.0127375,
        0.0127375,
        0.0127375,
        0.0127375,
        0.0127375,
        0.0127375,
        0.0127375,
        0.0127375,
        0.0129945,
        0.0129945,
        0.0130557,
        0.0133509,
        0.0133509,
        0.0133509,
        0.0133509,
        0.0133509,
        0.0133509,
        0.0135034,
        0.0133509,
        0.0130557,
        0.0130557,
        0.0133509,
        0.0130557,
        0.0130557,
        0.0130557,
        0.0129945,
        0.0128637,
        0.0128637,
        0.0128637,
        0.012711,
        0.0126705,
        0.0123589,
        0.0123589,
        0.0123589,
        0.0123589,
        0.0123589,
        0.0126705,
        0.012711,
        0.0126705,
        0.0123589,
        0.0123005,
        0.0123005,
        0.0123005,
        0.0123589,
        0.0126705,
        0.012711,
        0.012711,
        0.012711,
        0.012711,
        0.012711,
        0.0128579,
        0.0128579,
        0.012711,
        0.0128579,
        0.0129075,
        0.0132709,
        0.0135888,
        0.0135888,
        0.013816,
        0.0141498,
        0.0142799,
        0.0144968,
        0.0145023,
        0.0145023,
        0.0146453,
        0.0146453,
        0.0146453,
        0.0146453,
        0.0146453,
        0.0146453,
        0.0146453,
        0.0149621,
        0.0146453,
        0.0146453,
        0.0146453,
        0.0146453,
        0.0146453,
        0.0146453,
        0.0146453,
        0.0144968,
        0.0141498,
        0.0144968,
        0.0145337,
        0.0146453,
        0.0146453,
        0.0146453,
        0.0149621,
        0.0151015,
        0.0151015,
        0.0149621,
        0.0149621,
        0.0145337,
        0.0141484,
        0.0140744,
        0.0141484,
        0.0141484,
        0.0141484,
        0.0138313,
        0.0138262,
        0.0136279,
        0.0136279,
        0.0138262,
        0.0138262,
        0.0138262,
        0.0141484,
        0.0138262,
        0.0141484,
        0.0143662,
        0.0143662,
        0.0143662,
        0.0145337,
        0.0145413,
        0.0151015,
        0.0151015,
        0.0151015,
        0.0145413,
        0.0145413,
        0.0145413,
        0.0145413,
        0.0153836,
        0.0156111,
        0.0153836,
        0.0153836,
        0.0156111,
        0.0156813,
        0.0156813,
        0.0156813,
        0.0156813,
        0.0156813,
        0.0156813,
        0.0156813,
        0.0158638,
        0.0156504,
        0.0156111,
        0.0156504,
        0.0156504,
        0.0156504,
        0.0156111,
        0.0156111,
        0.0156111,
        0.015549,
        0.015382,
        0.015382,
        0.0141919,
        0.0141919,
        0.0141919,
        0.0152904,
        0.0152904,
        0.0141919,
        0.0141919,
        0.0138269,
        0.0136637,
        0.0138269,
        0.0141919,
        0.0136637,
        0.0131768,
        0.0128816,
        0.0128816,
        0.0128816,
        0.0127368,
        0.0127368,
        0.0127368,
        0.0127368,
        0.0128816,
        0.0127368,
        0.0127368,
        0.0128816,
        0.0152904,
        0.0152904,
        0.0153041,
        0.015382,
        0.0153041,
        0.0156361,
        0.0159937,
        0.0163596,
        0.0163596,
        0.0159937,
        0.0159937,
        0.0161119,
        0.0161119,
        0.0161119,
        0.0163596,
        0.0163761,
        0.0168479,
        0.0163761,
        0.0163761,
        0.0163761,
        0.0163761,
        0.0163761,
        0.0163596,
        0.0163596,
        0.0163596,
        0.0161119,
        0.0161119,
        0.0163596,
        0.0163596,
        0.0163596,
        0.0163596,
        0.0161119,
        0.0161119,
        0.015356,
        0.015356,
        0.0161119,
        0.0159832,
        0.0159832,
        0.0159832,
        0.0159832,
        0.0159832,
        0.015356,
        0.0145517,
        0.0145517,
        0.0145517,
        0.0145517,
        0.0143488,
        0.0143488,
        0.0143488,
        0.0145517,
        0.0157074,
        0.0159832,
        0.0157074,
        0.0157074,
        0.0157074,
        0.0157074,
        0.0157074,
        0.0147945,
        0.0145517,
        0.0147945,
        0.0143488,
        0.0142854,
        0.0143488,
        0.0143488,
        0.0143488,
        0.0143488,
        0.0139663,
        0.0136053,
        0.0136053,
        0.0128811,
        0.0128811,
        0.0136053,
        0.0128811,
        0.0128811,
        0.0124069,
        0.0124069,
        0.0124069,
        0.0124069,
        0.0123844,
        0.0124069,
        0.0123844,
        0.0120206,
        0.011478,
        0.011478,
        0.0111264,
        0.011478,
        0.011478,
        0.011478,
        0.0111264,
        0.0111264,
        0.0110308,
        0.0100484,
        0.0100484,
        0.0100459,
        0.0100459,
        0.0100459,
        0.00969272,
        0.0100459,
        0.0100459,
        0.0100459,
        0.0100484,
        0.0100484,
        0.0100459,
        0.0100484,
        0.0100484,
        0.0100459,
        0.00967715,
        0.00963019,
        0.00962522,
        0.00962522,
        0.00952395,
        0.00952395,
        0.00952395,
        0.00952395,
        0.00948527,
        0.00948527,
        0.00948527,
        0.00903696,
        0.00948527,
        0.00903696,
        0.00903696,
        0.00948527,
        0.00948527,
        0.00948527,
        0.00952395,
        0.00962111,
        0.00952395,
        0.00952395,
        0.00952395,
        0.00952395,
        0.00948527,
        0.00925233,
        0.00925233,
        0.00925233,
        0.00904,
        0.00904,
        0.00904,
        0.00925233,
        0.00925233,
        0.00904,
        0.00904,
        0.00925233,
        0.00962111,
        0.0106833,
        0.0119484,
        0.0119484,
        0.0121199,
        0.0121199,
        0.0126223,
        0.0121199,
        0.0121199,
        0.0119484,
        0.0119484,
        0.0127848,
        0.0119484,
        0.0119484,
        0.0119484,
        0.0127848,
        0.0130315,
        0.0130315,
        0.0130563,
        0.0131335,
        0.0134061,
        0.0135101,
        0.0137124,
        0.0137339,
        0.0143138,
        0.0145033,
        0.0145033,
        0.0145033,
        0.0145033,
        0.0143138,
        0.0143138,
        0.0143138,
        0.0146438,
        0.0146438,
        0.0146438,
        0.0146438,
        0.01496,
        0.01496,
        0.0158364,
        0.01619,
        0.0175962,
        0.01619,
        0.0175962,
        0.0175962,
        0.01619,
        0.0158364,
        0.0158364,
        0.01619,
        0.01619,
        0.01619,
        0.01619,
        0.0158364,
        0.0153199,
        0.0153199,
        0.0153199,
        0.0153199,
        0.0153199,
        0.0153199,
        0.0155148,
        0.0157891,
        0.0173912,
        0.0173912,
        0.0173912,
        0.0160312,
        0.0160312,
        0.0173912,
        0.0173912,
        0.0166725,
        0.0166725,
        0.0166725,
        0.0166725,
        0.0160312,
        0.0160312,
        0.0157891,
        0.0160312,
        0.0166725,
        0.0173912,
        0.0178595,
        0.0179156,
        0.017935,
        0.0185194,
        0.0185194,
        0.0185507,
        0.0185507,
        0.0185194,
        0.0185194,
        0.0185507,
        0.0188481,
        0.0188481,
        0.019075,
        0.0188481,
        0.0185507,
        0.0185507,
        0.0185194,
        0.0185194,
        0.0185194,
        0.017935,
        0.0179156,
        0.0179156,
        0.017593,
        0.0152386,
        0.0152386,
        0.017593,
        0.017935,
        0.017935,
        0.017593,
        0.017593,
        0.017593,
        0.017593,
        0.017593,
        0.017593,
        0.017593,
        0.0188481,
        0.0198461,
        0.0203123,
        0.0204358,
        0.0208701,
        0.0208701,
        0.0208701,
        0.0211867,
        0.0211867,
        0.0212945,
        0.0212945,
        0.0212945,
        0.0212945,
        0.0212945,
        0.0212945,
        0.0215199,
        0.0223963,
        0.0226841,
        0.0231513,
        0.0231513,
        0.0231513,
        0.0236743,
        0.0236743,
        0.0247293,
        0.0270232,
        0.0270232,
        0.0270232,
        0.0270232,
        0.0280477,
        0.0280477,
        0.0280477,
        0.0247293,
        0.0242953,
        0.0247293,
        0.0247293,
        0.0247293,
        0.0247293,
        0.0247293,
        0.0247293,
        0.0262692,
        0.0280477,
        0.028302,
        0.0307734,
        0.0307734,
        0.0307734,
        0.0308291,
        0.0308291,
        0.0308291,
        0.0308291,
        0.0314553,
        0.0314553,
        0.0314553,
        0.0308291,
        0.0308291,
        0.0308291,
        0.0314553,
        0.033436,
        0.034448,
        0.034448,
        0.033436,
        0.033436,
        0.033436,
        0.034448,
        0.0366093,
        0.0366093,
        0.0366093,
        0.034448,
        0.034448,
        0.034448,
        0.0366093,
        0.0371699,
        0.0371699,
        0.0371699,
        0.0371699,
        0.0374088,
        0.037922,
        0.037922,
        0.0408305,
        0.0422671,
        0.0422671,
        0.0422671,
        0.0430708,
        0.0440248,
        0.0514652,
        0.0520716,
        0.0520716,
        0.0520716,
        0.0520716,
        0.0604717,
        0.0667733,
        0.0692334,
        0.0821883,
        0.0839237,
        0.0852566,
        0.090415,
        0.0952732,
        0.0974607,
        0.106556,
        0.10752,
        0.109598,
        0.115603,
        0.128172,
        0.130942,
        0.14678,
        0.161444,
        0.185113,
        0.185113,
        0.185113,
        0.185113,
        0.195039,
        0.206547,
        0.222389,
        0.227181,
        0.290035,
        0.290235,
        0.31074,
        0.317322,
        0.388405,
        0.391132,
        0.391132,
        0.391132,
        0.391132,
        0.391132,
        0.391132,
        0.391132,
        0.391132,
        0.388405,
        0.376463,
        0.372478,
        0.372478,
        0.372478,
        0.372478,
        0.372478,
        0.362533,
        0.362533,
        0.368497,
        0.372478,
        0.376463,
        0.388405,
        0.388405,
        0.388405,
        0.388405,
        0.391132,
        0.391132,
        0.391132,
        0.396583,
        0.396583,
        0.396583,
        0.398573,
        0.38689,
        0.38689,
        0.38689,
        0.38689,
        0.38689,
        0.398573,
        0.398573,
        0.398573,
        0.398573,
        0.398573,
        0.398573,
        0.396326,
        0.38689,
        0.382269,
        0.368497,
        0.368497,
        0.352014,
        0.345589,
        0.34382,
        0.3399,
        0.327376,
        0.327376,
        0.327376,
        0.294034,
        0.280545,
        0.27479,
        0.274311,
        0.269742,
        0.269742,
        0.263874,
        0.247141,
        0.247141,
        0.247141,
        0.247141,
        0.247141,
        0.247141,
        0.247141,
        0.247141,
        0.247141,
        0.247141,
        0.247141,
        0.263874,
        0.269742,
        0.274311,
        0.280609,
        0.294034,
        0.295289,
        0.316772,
        0.345941,
        0.368782,
        0.372532,
        0.378577,
        0.378577,
        0.378577,
        0.378577,
        0.378577,
        0.378577,
        0.378577,
        0.378577,
        0.378577,
        0.378577,
        0.378577,
        0.378577,
        0.378577,
        0.378577,
        0.378554,
        0.378531,
        0.378508,
        0.378486,
        0.378463,
        0.37844,
        0.378417,
        0.378394,
        0.345941,
        0.316772
    ]
}