GET /api/miri_4900nm_28707nm_vstar_v866_sco_a_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": [
        2.86878,
        2.78942,
        2.79149,
        2.79829,
        2.78023,
        2.83788,
        2.98195,
        2.96121,
        2.8877,
        2.9701,
        3.22026,
        3.51641,
        3.351,
        2.88977,
        2.80021,
        2.80341,
        2.81428,
        2.83095,
        2.89521,
        3.05577,
        3.13316,
        3.03096,
        2.93847,
        2.93176,
        3.0945,
        3.43283,
        3.24604,
        2.94504,
        2.83267,
        2.82148,
        2.8472,
        2.93611,
        3.01166,
        3.07362,
        3.04218,
        2.94201,
        2.86777,
        2.85585,
        3.02971,
        3.39433,
        3.39019,
        3.06774,
        2.85829,
        2.84386,
        2.91872,
        2.96717,
        3.02743,
        3.11541,
        3.06944,
        2.85702,
        2.75096,
        2.80993,
        2.93518,
        3.27248,
        3.53156,
        3.15588,
        2.93112,
        2.90885,
        2.93203,
        2.95866,
        3.0579,
        3.06972,
        2.95949,
        2.86664,
        2.8346,
        2.87949,
        2.94161,
        3.17059,
        3.51283,
        3.40893,
        3.01864,
        2.98671,
        3.16294,
        3.14757,
        3.14174,
        3.10768,
        3.0019,
        2.85476,
        2.80382,
        2.7917,
        2.81806,
        2.92548,
        3.20386,
        3.62871,
        3.39685,
        3.10929,
        3.03044,
        3.00217,
        2.98779,
        3.05231,
        2.97684,
        2.88169,
        2.83573,
        2.80078,
        2.77139,
        2.79262,
        2.84183,
        3.17838,
        3.46027,
        3.30453,
        3.08448,
        2.97332,
        2.96538,
        2.98289,
        2.93693,
        2.82239,
        2.76831,
        2.83989,
        2.86339,
        2.8854,
        2.90092,
        3.02078,
        3.22927,
        3.45555,
        3.23369,
        2.92483,
        2.85979,
        2.95881,
        3.05305,
        3.00992,
        2.93288,
        2.88371,
        2.85879,
        2.84619,
        2.82916,
        2.8851,
        2.97293,
        3.14501,
        3.39823,
        3.30264,
        2.96175,
        2.85652,
        2.9264,
        2.98341,
        2.88009,
        2.82632,
        2.81791,
        2.88772,
        2.91623,
        2.93952,
        2.99248,
        2.97405,
        2.97308,
        3.2459,
        3.40992,
        3.19034,
        3.08022,
        3.18314,
        3.22681,
        3.15075,
        3.12078,
        3.00518,
        2.88577,
        2.87633,
        2.94241,
        2.99497,
        2.96087,
        2.94678,
        3.06413,
        3.4279,
        3.36455,
        3.21296,
        3.12016,
        3.02174,
        2.91721,
        2.92963,
        2.88579,
        2.91999,
        2.92194,
        2.91648,
        2.86235,
        2.8357,
        2.87066,
        3.02381,
        3.2338,
        3.37451,
        3.24065,
        3.05962,
        3.03309,
        2.94764,
        2.9244,
        2.92095,
        2.96853,
        3.02444,
        3.03165,
        2.90267,
        2.80736,
        2.77366,
        2.79631,
        2.86345,
        3.12268,
        3.37302,
        3.3034,
        3.14839,
        2.96527,
        2.83058,
        2.82445,
        2.8429,
        2.92072,
        2.98441,
        2.90194,
        2.89352,
        2.94786,
        2.94328,
        2.86861,
        2.93415,
        3.06792,
        3.3326,
        3.2822,
        3.05683,
        2.89654,
        2.86997,
        2.89501,
        2.93423,
        2.87661,
        2.79651,
        2.77257,
        2.75681,
        2.8101,
        2.84654,
        2.86067,
        2.91613,
        3.05343,
        3.29954,
        3.38673,
        3.06885,
        2.91791,
        3.01974,
        3.06387,
        2.98853,
        2.8592,
        2.87959,
        2.9242,
        2.85166,
        2.82281,
        2.80799,
        2.80722,
        2.81795,
        2.87566,
        3.11341,
        3.33728,
        3.17445,
        3.00957,
        2.93954,
        2.89208,
        2.83579,
        2.7927,
        2.80487,
        2.85248,
        2.85955,
        2.8483,
        2.83872,
        2.82136,
        2.8142,
        2.83223,
        2.98358,
        3.25291,
        3.24308,
        3.09021,
        3.05199,
        3.07523,
        2.9685,
        2.9619,
        2.96724,
        2.8882,
        2.84003,
        2.8546,
        2.95329,
        3.01662,
        2.9201,
        2.85603,
        2.90571,
        3.07127,
        3.31039,
        3.22846,
        2.98109,
        2.85089,
        2.8112,
        2.78668,
        2.80116,
        2.84932,
        2.8379,
        2.83566,
        2.94471,
        3.1209,
        3.12287,
        3.06786,
        3.08358,
        3.17237,
        3.28689,
        3.3983,
        3.25876,
        2.99699,
        2.87472,
        2.83556,
        2.86926,
        2.91605,
        2.92873,
        2.92105,
        2.96328,
        2.97129,
        2.90228,
        2.90589,
        2.93722,
        3.02157,
        3.11761,
        3.21163,
        3.35788,
        3.42884,
        3.34723,
        3.13647,
        2.99079,
        3.03246,
        2.94842,
        2.82775,
        2.8429,
        2.85671,
        2.85315,
        2.85212,
        2.86827,
        2.89725,
        2.91042,
        3.00536,
        3.09548,
        3.2164,
        3.35885,
        3.14823,
        2.97215,
        2.90398,
        2.90227,
        2.94037,
        2.93432,
        2.86644,
        2.94061,
        2.93696,
        2.92427,
        2.92543,
        2.92123,
        2.92592,
        3.00421,
        3.099,
        3.17356,
        3.26661,
        3.19896,
        2.98569,
        2.88693,
        2.85869,
        2.83817,
        2.86154,
        2.8358,
        2.83645,
        2.83381,
        2.83605,
        2.81175,
        2.8414,
        2.93609,
        3.0218,
        3.04898,
        3.05107,
        3.04929,
        3.10177,
        3.03098,
        2.85062,
        2.78012,
        2.79071,
        2.79297,
        2.82713,
        2.8439,
        2.89158,
        2.8873,
        2.84577,
        2.82226,
        2.88464,
        3.05902,
        3.15526,
        3.07757,
        3.06587,
        3.22901,
        3.22339,
        3.06942,
        2.90673,
        2.85961,
        2.86379,
        2.79613,
        2.77358,
        2.81926,
        2.90979,
        2.98616,
        2.97085,
        2.97355,
        3.0057,
        3.18215,
        3.10701,
        2.902,
        2.82785,
        2.87742,
        3.04848,
        3.07377,
        2.91352,
        2.86481,
        2.94215,
        3.06181,
        3.03141,
        3.01371,
        2.94629,
        2.87719,
        2.91339,
        2.95663,
        2.99013,
        3.01607,
        2.89801,
        2.83841,
        2.81606,
        2.83038,
        2.92235,
        2.99396,
        2.97131,
        2.87945,
        2.93369,
        3.06408,
        2.92004,
        2.83346,
        2.83842,
        2.88574,
        3.00089,
        3.16162,
        3.2186,
        3.12015,
        2.96551,
        2.89959,
        2.90204,
        2.91557,
        2.95066,
        3.0192,
        3.00047,
        2.88184,
        2.86321,
        2.84459,
        2.88926,
        2.93294,
        2.92361,
        2.92537,
        2.91169,
        2.90009,
        2.90025,
        2.95063,
        3.02406,
        3.07343,
        3.06151,
        2.88948,
        2.85618,
        2.91772,
        3.01925,
        2.96647,
        2.90523,
        2.85499,
        2.85552,
        2.91032,
        2.97225,
        2.97789,
        2.94379,
        3.0267,
        3.22776,
        3.13878,
        2.94478,
        2.86658,
        2.85804,
        2.92265,
        3.05026,
        3.23495,
        3.27582,
        3.22138,
        3.15102,
        3.01119,
        2.9821,
        3.1243,
        3.0751,
        2.98697,
        2.97643,
        2.98986,
        2.97564,
        2.94348,
        2.97381,
        2.9364,
        2.85582,
        2.82646,
        2.83046,
        2.87201,
        2.91911,
        3.13303,
        3.28791,
        3.11616,
        2.91896,
        2.90787,
        2.9006,
        2.9244,
        2.97329,
        2.94993,
        2.9094,
        2.87631,
        2.90939,
        2.88699,
        2.84392,
        2.82267,
        2.91365,
        3.01128,
        3.01164,
        2.99933,
        2.95945,
        3.00451,
        3.03853,
        2.96117,
        2.89489,
        2.91599,
        2.87694,
        2.83416,
        2.81954,
        2.83417,
        2.85856,
        2.8827,
        2.9026,
        2.8551,
        2.83406,
        2.85327,
        2.95846,
        3.14553,
        3.31919,
        3.26662,
        3.09394,
        3.02382,
        2.98275,
        2.91652,
        2.88753,
        2.86196,
        2.8128,
        2.81611,
        2.83014,
        2.85712,
        2.89517,
        2.92908,
        2.90874,
        2.87192,
        2.8734,
        2.89238,
        2.89651,
        2.85923,
        2.84135,
        2.86085,
        2.89971,
        2.98156,
        2.99428,
        2.93364,
        2.87443,
        2.83904,
        2.84593,
        2.94629,
        3.1462,
        3.02067,
        2.91813,
        2.92018,
        3.02054,
        3.22054,
        3.27539,
        3.22161,
        3.16565,
        3.01343,
        3.04063,
        3.05647,
        2.92651,
        2.96681,
        2.93032,
        2.98047,
        3.02319,
        2.9412,
        2.8421,
        2.81542,
        2.82257,
        2.84613,
        2.90252,
        2.99163,
        3.236,
        3.16861,
        2.98529,
        2.92582,
        2.9387,
        2.88565,
        2.83082,
        2.85154,
        2.99336,
        3.1942,
        3.19591,
        3.07778,
        3.02788,
        2.89575,
        2.85273,
        2.94268,
        3.05726,
        3.05857,
        3.03149,
        3.02466,
        3.05384,
        3.01107,
        2.92352,
        2.90932,
        2.88653,
        2.86715,
        2.89057,
        2.88316,
        2.89662,
        2.9549,
        3.03055,
        2.99975,
        2.9702,
        2.96272,
        2.94357,
        2.92621,
        2.90662,
        2.89711,
        2.86941,
        2.84497,
        2.8419,
        2.85438,
        2.87369,
        2.88941,
        2.91687,
        2.94358,
        2.94992,
        2.94882,
        2.90237,
        2.91975,
        2.93888,
        2.9561,
        2.95561,
        2.96627,
        2.97595,
        3.15104,
        3.20352,
        3.03058,
        3.03782,
        3.22667,
        3.15948,
        2.97182,
        2.8716,
        2.87425,
        2.9413,
        3.05241,
        3.21845,
        3.27363,
        3.2116,
        3.07154,
        2.95275,
        3.11395,
        3.3982,
        3.40828,
        3.26224,
        3.17676,
        3.0813,
        2.964,
        2.96162,
        3.07794,
        3.24712,
        3.10278,
        2.94982,
        2.90928,
        2.89659,
        2.87248,
        2.89171,
        2.91638,
        2.87706,
        2.89267,
        2.98374,
        3.03154,
        2.95815,
        2.8965,
        2.87226,
        2.89117,
        2.86526,
        2.93564,
        3.08372,
        3.04147,
        2.91845,
        2.84674,
        2.83195,
        2.82567,
        2.82202,
        2.82887,
        2.87684,
        2.94252,
        2.95366,
        2.95936,
        2.98544,
        2.92394,
        3.07902,
        3.25565,
        3.12133,
        2.92481,
        2.87293,
        2.94222,
        3.04015,
        3.03198,
        2.91649,
        2.85569,
        2.83908,
        2.93142,
        3.12405,
        3.14972,
        2.96061,
        2.93261,
        3.05501,
        3.09932,
        3.06217,
        3.04343,
        2.94238,
        2.86301,
        2.83295,
        2.84262,
        2.85343,
        2.84249,
        2.87749,
        2.92627,
        2.96577,
        3.0372,
        3.30599,
        3.44152,
        3.14803,
        2.93055,
        2.88121,
        2.85766,
        2.86183,
        2.87465,
        2.88864,
        2.97899,
        3.11287,
        3.08746,
        2.93251,
        2.8561,
        2.8499,
        2.94153,
        2.93774,
        2.87223,
        2.86262,
        2.87817,
        2.89997,
        2.87603,
        2.83093,
        2.8264,
        2.82953,
        2.82436,
        2.81715,
        2.8246,
        2.88715,
        3.09066,
        3.35285,
        3.25429,
        3.02672,
        2.88755,
        2.85699,
        2.82226,
        2.85161,
        2.9138,
        2.86962,
        2.87001,
        2.93815,
        2.96899,
        2.95598,
        2.8704,
        2.83337,
        2.90787,
        2.99243,
        3.02198,
        2.98881,
        3.0405,
        3.0731,
        2.9508,
        2.85789,
        2.86968,
        2.91822,
        3.02145,
        3.08132,
        3.10659,
        3.00408,
        2.96684,
        2.93662,
        2.92631,
        2.93667,
        2.99573,
        3.08814,
        3.04124,
        2.96284,
        3.06742,
        3.09401,
        2.95635,
        2.86565,
        2.83577,
        2.81929,
        2.88022,
        2.92699,
        2.93928,
        2.91341,
        2.9225,
        2.87845,
        2.84952,
        2.86393,
        2.86571,
        2.87527,
        2.86214,
        2.85794,
        2.92326,
        3.05704,
        3.26034,
        3.2148,
        3.10461,
        3.11059,
        3.2477,
        3.35154,
        3.01039,
        2.86758,
        2.87537,
        2.8877,
        2.93252,
        3.108,
        3.09344,
        3.01016,
        3.01982,
        3.00843,
        2.97222,
        2.9559,
        2.92099,
        2.90693,
        2.97778,
        3.16837,
        3.20804,
        3.19037,
        3.30871,
        3.35729,
        3.20359,
        3.0306,
        2.99044,
        3.02273,
        2.92102,
        2.88156,
        2.89937,
        2.88602,
        2.87546,
        2.86116,
        2.91944,
        3.17517,
        3.36775,
        3.27982,
        3.04384,
        2.92085,
        2.90275,
        2.92637,
        3.09381,
        3.28956,
        3.08868,
        2.95986,
        3.08563,
        3.21612,
        3.03035,
        2.88861,
        2.85545,
        2.90844,
        3.00934,
        3.05501,
        2.96838,
        2.87533,
        2.85664,
        2.83291,
        2.81649,
        2.82154,
        2.82893,
        2.84384,
        2.93424,
        2.9383,
        2.95176,
        3.03679,
        3.37912,
        3.34221,
        3.01603,
        2.91028,
        2.89995,
        2.85016,
        2.81965,
        2.83176,
        2.85474,
        2.86154,
        2.87645,
        2.95768,
        3.05095,
        2.96967,
        2.87081,
        2.93499,
        3.25573,
        3.39001,
        3.15785,
        2.92689,
        2.86569,
        2.87769,
        2.90851,
        3.09384,
        3.18667,
        3.16485,
        3.20892,
        3.076,
        2.97695,
        2.93257,
        2.88406,
        2.8542,
        2.85735,
        2.82188,
        2.83883,
        2.88012,
        2.99393,
        3.13654,
        3.0048,
        2.91802,
        2.86171,
        2.84095,
        2.83691,
        2.85471,
        2.86921,
        2.8591,
        2.8837,
        2.93049,
        3.12447,
        3.19064,
        2.96811,
        2.91539,
        2.93557,
        2.97248,
        3.12684,
        3.16019,
        3.04083,
        2.97386,
        2.94935,
        2.92908,
        2.91943,
        2.94383,
        2.97121,
        2.91403,
        2.88253,
        3.00434,
        3.39727,
        3.65742,
        3.38281,
        2.99373,
        2.94021,
        2.98953,
        2.94216,
        2.89301,
        2.881,
        2.90285,
        2.90345,
        2.9374,
        2.99843,
        2.97023,
        3.01509,
        3.11974,
        3.05675,
        2.92875,
        2.84588,
        2.83709,
        2.83404,
        2.84231,
        2.87954,
        2.92172,
        2.9797,
        3.18241,
        3.34332,
        3.17671,
        3.00402,
        3.10928,
        3.12659,
        2.9634,
        2.86284,
        2.85966,
        2.87881,
        2.95433,
        3.04256,
        3.0336,
        2.98711,
        3.13114,
        3.11797,
        2.95971,
        2.85777,
        2.85726,
        2.89229,
        3.00207,
        3.22923,
        3.19633,
        2.98406,
        2.95333,
        2.91004,
        2.88093,
        2.84975,
        2.84525,
        2.83247,
        2.86302,
        2.90838,
        2.93323,
        2.91193,
        2.9322,
        2.90932,
        2.89039,
        2.98748,
        2.95829,
        2.87026,
        2.88227,
        3.03853,
        3.19951,
        3.44714,
        3.43363,
        3.39246,
        3.14108,
        3.13132,
        3.05818,
        2.95153,
        2.95217,
        3.14762,
        3.14587,
        2.98677,
        3.07351,
        3.12668,
        3.11979,
        3.19381,
        3.20545,
        3.13594,
        3.17066,
        3.21695,
        3.04252,
        2.99124,
        3.02798,
        3.01303,
        3.03179,
        2.97377,
        2.90009,
        2.90589,
        3.03952,
        3.18278,
        3.16376,
        3.06193,
        3.12898,
        3.2647,
        3.19016,
        3.18565,
        3.20711,
        3.01132,
        2.93228,
        2.90532,
        2.84207,
        2.83169,
        2.81415,
        2.8217,
        2.83765,
        2.82964,
        2.82082,
        2.84484,
        2.96187,
        3.08405,
        3.06336,
        3.05782,
        2.9257,
        2.85271,
        2.86825,
        2.88631,
        2.8569,
        2.91746,
        3.00797,
        2.96939,
        2.87773,
        2.83198,
        2.7984,
        2.79645,
        2.77772,
        2.76726,
        2.82418,
        2.93736,
        2.97437,
        3.03853,
        3.22665,
        3.34529,
        3.23642,
        3.04172,
        3.02367,
        3.19424,
        3.25,
        3.05347,
        2.8988,
        2.86561,
        2.91144,
        2.98962,
        2.98714,
        2.98377,
        3.02459,
        3.05954,
        3.04369,
        3.01208,
        3.11506,
        3.24377,
        3.32522,
        3.30063,
        3.19713,
        3.10077,
        3.0095,
        2.91688,
        2.86685,
        2.86687,
        2.8841,
        2.91318,
        2.9308,
        2.91392,
        2.87686,
        2.86313,
        2.88243,
        2.91959,
        2.95216,
        2.97606,
        3.00002,
        2.98497,
        2.92145,
        2.89732,
        2.89361,
        2.9523,
        2.95911,
        2.95501,
        3.01114,
        3.13338,
        3.09291,
        3.02069,
        3.06016,
        3.07833,
        2.97885,
        2.91976,
        2.92445,
        2.99695,
        2.96917,
        2.90204,
        2.86511,
        2.86245,
        2.88054,
        2.89617,
        2.9103,
        2.91504,
        2.91879,
        2.95495,
        3.08675,
        3.29719,
        3.21967,
        3.06532,
        3.00472,
        3.01592,
        3.10495,
        3.24608,
        3.03081,
        2.89765,
        2.85782,
        2.85478,
        2.94771,
        3.11995,
        3.21465,
        3.17421,
        3.14678,
        3.11277,
        3.04783,
        3.01466,
        3.07131,
        3.13074,
        3.10244,
        2.98349,
        2.92405,
        2.96627,
        2.99586,
        3.00386,
        2.99661,
        2.95856,
        2.92009,
        2.90037,
        2.90746,
        2.89058,
        2.88586,
        2.87548,
        2.92328,
        2.99085,
        2.99731,
        2.96491,
        2.98041,
        2.93699,
        2.87841,
        2.87057,
        2.87081,
        2.8876,
        2.86112,
        2.83416,
        2.8438,
        2.92144,
        3.0006,
        3.02336,
        2.9255,
        3.03579,
        3.13162,
        3.15424,
        2.94446,
        2.85022,
        2.83529,
        2.87785,
        3.02081,
        3.13078,
        3.16117,
        3.06813,
        2.9401,
        2.98049,
        2.98722,
        3.01046,
        3.00756,
        3.10461,
        3.10869,
        2.95628,
        2.92581,
        2.89248,
        2.8881,
        2.91867,
        3.07408,
        3.18553,
        3.28134,
        3.3423,
        3.1832,
        3.20268,
        3.26095,
        3.1733,
        3.04668,
        3.05537,
        3.07542,
        3.06209,
        2.96501,
        2.93373,
        2.93,
        3.02676,
        3.06766,
        2.97165,
        2.88107,
        2.83261,
        2.83036,
        2.91854,
        3.09825,
        3.43135,
        3.37312,
        3.25778,
        3.07618,
        2.92112,
        2.87359,
        2.9011,
        2.92939,
        2.96019,
        2.92196,
        2.96363,
        3.00962,
        3.00747,
        2.98083,
        3.02105,
        3.06149,
        3.04249,
        3.01054,
        2.98371,
        2.96868,
        2.95911,
        2.91226,
        2.88115,
        2.89381,
        2.97014,
        3.0904,
        3.07514,
        2.97373,
        2.89285,
        2.8762,
        2.90381,
        2.94404,
        3.03749,
        3.17131,
        3.11968,
        3.06223,
        2.98202,
        2.85954,
        2.84355,
        2.85469,
        2.88952,
        2.87614,
        2.82724,
        2.81883,
        2.83844,
        2.84931,
        2.86371,
        2.95541,
        3.12791,
        3.17907,
        2.98827,
        3.02145,
        3.16353,
        3.16116,
        3.11179,
        3.15647,
        3.20703,
        3.00959,
        2.89842,
        2.90729,
        2.93989,
        2.89855,
        2.84282,
        2.85614,
        2.93546,
        3.02051,
        3.02037,
        3.14957,
        3.13221,
        2.97892,
        2.99828,
        3.00148,
        2.94801,
        2.91855,
        2.93333,
        2.87639,
        2.82885,
        2.7999,
        2.78764,
        2.78835,
        2.81599,
        2.85805,
        2.88203,
        2.85057,
        2.80937,
        2.79792,
        2.81563,
        2.84426,
        2.99275,
        3.22247,
        3.38617,
        3.28407,
        3.06668,
        2.9188,
        2.85106,
        2.83669,
        2.82747,
        2.83689,
        2.8536,
        2.87713,
        2.85574,
        2.8448,
        2.90108,
        2.8956,
        2.86769,
        2.83597,
        2.89009,
        3.05887,
        3.19317,
        3.03178,
        2.91742,
        2.85873,
        2.82192,
        2.82233,
        2.83019,
        2.86307,
        2.97508,
        3.13478,
        3.14435,
        3.05079,
        2.99373,
        3.02415,
        3.04684,
        2.9701,
        2.88022,
        2.85004,
        2.86548,
        2.84028,
        2.83469,
        2.82342,
        2.82137,
        2.82649,
        2.82973,
        2.82753,
        2.82476,
        2.84382,
        2.89839,
        2.91833,
        2.87762,
        2.84829,
        2.85928,
        2.87767,
        2.87428,
        2.84337,
        2.83096,
        2.89298,
        3.04341,
        3.10163,
        3.00651,
        2.88974,
        2.8551,
        2.87486,
        2.93878,
        3.04571,
        2.99168,
        2.9142,
        2.91066,
        3.00693,
        3.04429,
        2.96195,
        2.88644,
        2.86701,
        2.84551,
        2.83886,
        2.86516,
        2.90225,
        2.90331,
        2.91193,
        2.94082,
        3.00085,
        3.09265,
        3.13384,
        3.09302,
        2.99812,
        2.90702,
        2.8882,
        2.92007,
        2.91031,
        2.87016,
        2.86628,
        2.88103,
        2.91581,
        2.96382,
        3.03774,
        3.2061,
        3.15927,
        2.95937,
        2.88054,
        2.96595,
        3.2156,
        3.36343,
        3.22763,
        3.15693,
        3.28634,
        3.39331,
        3.17901,
        2.95746,
        2.90786,
        2.90872,
        2.89909,
        2.89509,
        2.87255,
        2.86043,
        2.88654,
        2.92923,
        2.97098,
        3.02674,
        2.99915,
        2.93607,
        2.87828,
        2.86437,
        2.9001,
        3.02567,
        3.10044,
        3.00362,
        2.94553,
        3.02249,
        3.12432,
        3.01806,
        2.90426,
        2.85993,
        2.86598,
        2.95275,
        3.1619,
        3.1819,
        3.00931,
        2.88418,
        2.85768,
        2.8892,
        2.92522,
        2.93484,
        2.89725,
        2.87503,
        2.85679,
        2.83423,
        2.82978,
        2.84204,
        2.85439,
        2.87823,
        2.96208,
        3.04951,
        2.95295,
        2.89076,
        2.86618,
        2.87917,
        2.86679,
        2.85373,
        2.8625,
        2.89025,
        2.96068,
        2.97478,
        2.92943,
        2.88007,
        2.86342,
        2.8851,
        2.92353,
        2.9214,
        2.91293,
        2.95981,
        3.01063,
        2.94396,
        2.96184,
        3.0825,
        3.1435,
        2.96901,
        2.88417,
        2.84957,
        2.84371,
        2.84178,
        2.88278,
        3.03876,
        3.26505,
        3.31378,
        3.11017,
        3.12561,
        3.13207,
        3.00584,
        2.90131,
        2.85955,
        2.8385,
        2.84301,
        2.85736,
        2.85466,
        2.83131,
        2.81362,
        2.81824,
        2.84034,
        2.8545,
        2.85437,
        2.84536,
        2.83783,
        2.83091,
        2.82342,
        2.81795,
        2.82338,
        2.81704,
        2.82397,
        2.82535,
        2.82581,
        2.84429,
        2.85274,
        2.85938,
        2.84679,
        2.83416,
        2.82239,
        2.81703,
        2.84433,
        2.92317,
        3.01986,
        2.95614,
        2.90643,
        2.91074,
        2.87345,
        2.87608,
        2.86451,
        2.88175,
        2.98893,
        3.01431,
        2.95422,
        2.9047,
        2.88434,
        2.89547,
        2.89649,
        2.88087,
        2.86056,
        2.84323,
        2.86619,
        2.97798,
        3.07925,
        3.07286,
        2.9474,
        2.89546,
        2.97031,
        2.99938,
        2.96329,
        2.90447,
        2.88652,
        2.92146,
        2.93465,
        2.92977,
        2.94108,
        2.97888,
        3.01431,
        3.04128,
        3.03521,
        2.91847,
        2.86722,
        2.90041,
        2.9393,
        2.94762,
        2.86051,
        2.82739,
        2.82598,
        2.82823,
        2.83902,
        2.82987,
        2.84951,
        2.86154,
        2.88039,
        2.90845,
        3.07341,
        3.18471,
        3.04957,
        2.88588,
        2.82985,
        2.82689,
        2.82629,
        2.82609,
        2.83204,
        2.84862,
        2.86774,
        2.89296,
        2.87902,
        2.84478,
        2.83267,
        2.83158,
        2.83257,
        2.84589,
        2.89249,
        2.92411,
        2.89857,
        2.89106,
        2.94293,
        2.95717,
        2.90049,
        2.86464,
        2.86292,
        2.86048,
        2.8726,
        2.86501,
        2.83863,
        2.82322,
        2.81658,
        2.83243,
        2.86405,
        2.94989,
        3.02236,
        2.95325,
        2.88789,
        2.88876,
        2.87711,
        2.87485,
        2.87117,
        2.89104,
        2.86822,
        2.88703,
        2.96203,
        3.01545,
        2.97041,
        2.93718,
        2.89561,
        2.85888,
        2.85742,
        2.88372,
        2.88812,
        2.86366,
        2.82356,
        2.80902,
        2.8104,
        2.82462,
        2.82372,
        2.82709,
        2.84107,
        2.8485,
        2.87199,
        2.91369,
        2.97204,
        3.041,
        3.09821,
        3.02265,
        2.94567,
        2.90274,
        2.85669,
        2.88154,
        2.94823,
        3.01704,
        2.99155,
        2.92283,
        2.86812,
        2.85351,
        2.85086,
        2.84852,
        2.85831,
        2.85675,
        2.84712,
        2.84787,
        2.84622,
        2.84583,
        2.8605,
        2.87668,
        2.85352,
        2.83945,
        2.85022,
        2.86746,
        2.86906,
        2.88352,
        2.87416,
        2.87312,
        2.90312,
        2.95649,
        2.98985,
        2.93319,
        2.85306,
        2.82271,
        2.82403,
        2.85683,
        2.87464,
        2.90012,
        2.98904,
        3.02094,
        2.93352,
        2.87167,
        2.85074,
        2.83017,
        2.82457,
        2.83446,
        2.83258,
        2.8477,
        2.88117,
        2.91615,
        2.90948,
        2.90101,
        2.91677,
        2.92307,
        2.87302,
        2.84085,
        2.82329,
        2.82737,
        2.86415,
        2.91392,
        2.92832,
        2.92406,
        2.944,
        2.93159,
        2.90054,
        2.87518,
        2.85934,
        2.86241,
        2.8563,
        2.84855,
        2.83355,
        2.8263,
        2.82354,
        2.82496,
        2.83444,
        2.86995,
        2.89007,
        2.86528,
        2.85218,
        2.86576,
        2.85426,
        2.86061,
        2.87118,
        2.86946,
        2.87342,
        2.88604,
        2.87611,
        2.86215,
        2.85026,
        2.85582,
        2.85215,
        2.86084,
        2.90596,
        2.97766,
        3.00464,
        2.95289,
        2.92051,
        2.92957,
        2.94037,
        2.91453,
        2.88041,
        2.84918,
        2.83681,
        2.82678,
        2.82886,
        2.83713,
        2.8485,
        2.8551,
        2.85095,
        2.85177,
        2.85471,
        2.86293,
        2.867,
        2.87331,
        2.88333,
        2.87486,
        2.86777,
        2.86054,
        2.88193,
        2.87549,
        2.83854,
        2.88203,
        2.98486,
        3.06808,
        3.02745,
        2.9495,
        2.8984,
        2.89299,
        2.94739,
        3.12141,
        3.21905,
        3.03287,
        2.87586,
        2.83508,
        2.82415,
        2.83536,
        2.83881,
        2.86534,
        2.90933,
        2.916,
        2.91823,
        2.91706,
        2.90564,
        2.90155,
        2.91038,
        2.93601,
        2.92962,
        2.89974,
        2.86113,
        2.83467,
        2.83373,
        2.84154,
        2.84615,
        2.84631,
        2.85682,
        2.87731,
        2.86583,
        2.85316,
        2.84037,
        2.8421,
        2.88409,
        2.99937,
        3.07912,
        3.00805,
        2.90614,
        2.93908,
        3.0652,
        3.04781,
        2.95401,
        2.91363,
        2.88908,
        2.8879,
        2.9032,
        2.90954,
        2.88867,
        2.8834,
        2.90912,
        2.90518,
        2.87666,
        2.8671,
        2.9277,
        3.01085,
        3.01302,
        2.96096,
        2.93399,
        2.9524,
        3.02979,
        3.0816,
        2.99443,
        2.87916,
        2.85583,
        2.85201,
        2.83372,
        2.83451,
        2.84681,
        2.87903,
        2.87449,
        2.85416,
        2.86461,
        2.89794,
        2.90615,
        2.89414,
        2.86537,
        2.86536,
        2.88707,
        2.89559,
        2.868,
        2.86259,
        2.85086,
        2.94131,
        3.13116,
        3.23572,
        3.13166,
        3.18481,
        3.20784,
        3.11017,
        2.98471,
        2.93832,
        2.96902,
        3.22251,
        3.37052,
        3.22218,
        3.05559,
        3.06013,
        3.21423,
        3.20888,
        3.03076,
        2.90295,
        2.85755,
        2.84792,
        2.8526,
        2.88097,
        2.96333,
        2.9632,
        2.87063,
        2.86839,
        2.89774,
        2.90949,
        2.8589,
        2.86676,
        3.06187,
        3.18826,
        3.15027,
        2.97041,
        2.89151,
        2.8692,
        2.86136,
        2.89169,
        2.92518,
        2.94345,
        2.93148,
        2.896,
        2.84665,
        2.85753,
        2.89965,
        2.91151,
        2.90446,
        2.88493,
        2.86031,
        2.86787,
        2.91519,
        3.01963,
        3.19708,
        3.24564,
        3.08453,
        3.0916,
        3.08983,
        2.95703,
        2.8814,
        2.88828,
        2.89583,
        2.8898,
        2.87561,
        2.91373,
        2.92735,
        2.91941,
        2.89797,
        2.89534,
        2.87714,
        2.8451,
        2.8337,
        2.81916,
        2.84232,
        2.88035,
        2.9877,
        3.19135,
        3.32409,
        3.3082,
        3.26232,
        3.39476,
        3.2902,
        3.30935,
        3.36965,
        3.33634,
        3.14945,
        2.97849,
        3.02797,
        3.15188,
        3.17573,
        3.08473,
        3.04464,
        3.12776,
        3.16923,
        3.12465,
        3.35577,
        3.57442,
        3.52851,
        3.2308,
        2.96413,
        2.87612,
        2.87171,
        2.90146,
        2.92477,
        3.00315,
        3.15589,
        3.24788,
        2.99622,
        2.94974,
        2.94351,
        2.98544,
        3.1441,
        3.32312,
        3.21626,
        2.98452,
        3.04879,
        3.14509,
        3.13851,
        3.05027,
        2.9921,
        2.99881,
        2.96048,
        3.04982,
        3.20082,
        3.19658,
        3.05524,
        2.93916,
        2.94326,
        2.9932,
        3.02082,
        3.11134,
        3.25718,
        3.14772,
        3.03908,
        3.04402,
        2.97026,
        2.90878,
        2.93621,
        3.1098,
        3.32852,
        3.28449,
        3.05097,
        3.05817,
        3.16149,
        3.21754,
        3.15621,
        3.06375,
        2.97833,
        2.93146,
        2.93885,
        3.02518,
        3.21223,
        3.28366,
        3.09083,
        2.99004,
        2.95661,
        2.93905,
        2.95001,
        2.90269,
        2.90148,
        2.92415,
        2.90827,
        2.90274,
        2.97897,
        3.13629,
        3.20024,
        3.13798,
        3.11229,
        3.16278,
        3.09588,
        2.99821,
        2.91632,
        2.91682,
        3.02039,
        3.2322,
        3.31396,
        3.19239,
        3.08705,
        3.0101,
        3.0149,
        3.07446,
        3.04783,
        2.98605,
        3.11725,
        3.3247,
        3.24023,
        3.09394,
        3.13272,
        3.21993,
        3.14426,
        3.04372,
        3.09987,
        3.15244,
        3.18333,
        3.22539,
        3.17169,
        3.0668,
        3.05328,
        3.15085,
        3.22949,
        3.20739,
        3.06091,
        3.04781,
        3.07877,
        3.16312,
        3.33033,
        3.59625,
        3.76023,
        3.41939,
        3.02565,
        2.96874,
        3.02339,
        3.23317,
        3.41358,
        3.2348,
        2.9749,
        2.92741,
        3.01128,
        3.1198,
        3.19472,
        3.16318,
        3.0577,
        3.01035,
        2.98667,
        2.94486,
        3.00678,
        3.1469,
        3.21937,
        3.3467,
        3.28194,
        3.19818,
        3.33132,
        3.50846,
        3.50099,
        3.56571,
        3.59984,
        3.63054,
        3.56934,
        3.39158,
        3.28473,
        3.31084,
        3.36325,
        3.3319,
        3.14689,
        3.01127,
        2.94709,
        2.88853,
        2.87038,
        2.8865,
        2.90493,
        2.92416,
        2.9375,
        2.9407,
        2.96885,
        3.04866,
        3.32257,
        3.49936,
        3.42319,
        3.24192,
        3.1478,
        3.14397,
        3.18649,
        3.17437,
        3.09191,
        3.17748,
        3.48788,
        3.65948,
        3.49649,
        3.31128,
        3.50121,
        3.80526,
        3.69547,
        3.26994,
        2.96605,
        2.93222,
        3.03318,
        3.30451,
        3.58089,
        3.67369,
        3.66272,
        3.67836,
        3.63495,
        3.5593,
        3.50296,
        3.42072,
        3.39117,
        3.34297,
        3.31453,
        3.28665,
        3.23258,
        3.30386,
        3.4346,
        3.5154,
        3.45008,
        3.27509,
        3.08539,
        3.03129,
        3.04083,
        3.10049,
        3.10026,
        3.05134,
        2.95175,
        2.90377,
        2.8832,
        2.88704,
        2.9032,
        2.94297,
        2.94315,
        2.96188,
        3.01085,
        3.06005,
        3.12325,
        3.21095,
        3.34058,
        3.4415,
        3.37426,
        3.20854,
        3.03586,
        2.95697,
        2.95753,
        3.08108,
        3.13918,
        3.10483,
        3.06994,
        3.03317,
        3.03216,
        3.00093,
        2.97668,
        3.01189,
        3.16601,
        3.33737,
        3.39271,
        3.29836,
        3.18504,
        3.03303,
        2.9555,
        2.94205,
        2.97597,
        3.00483,
        3.01979,
        3.01902,
        3.02865,
        3.05861,
        3.16738,
        3.29709,
        3.35915,
        3.24857,
        3.14691,
        3.19349,
        3.24596,
        3.22388,
        3.1824,
        3.1914,
        3.17375,
        3.1089,
        3.06099,
        3.02651,
        3.03887,
        3.03228,
        2.98451,
        2.92567,
        2.91759,
        2.92127,
        2.95538,
        2.96351,
        2.94764,
        2.91288,
        2.89991,
        2.89599,
        2.93995,
        2.99718,
        3.16225,
        3.23234,
        3.22908,
        3.16123,
        3.13106,
        3.09644,
        2.98787,
        2.96241,
        3.08597,
        3.24298,
        3.35329,
        3.19119,
        3.22426,
        3.30308,
        3.37925,
        3.29937,
        3.14947,
        3.11835,
        3.12892,
        3.14746,
        3.14702,
        3.12948,
        3.14149,
        3.21122,
        3.26082,
        3.1141,
        3.0658,
        3.04129,
        3.082,
        3.13162,
        3.18824,
        3.16634,
        3.10121,
        3.00401,
        3.01797,
        3.02826,
        3.06041,
        3.04012,
        3.02995,
        3.0552,
        3.06402,
        3.06982,
        3.00221,
        2.97877,
        3.00638,
        3.02452,
        3.01934,
        2.97644,
        2.97718,
        3.0254,
        3.06962,
        3.12935,
        3.12264,
        3.08424,
        3.12429,
        3.19957,
        3.17644,
        3.14114,
        3.20176,
        3.21392,
        3.16451,
        3.12813,
        3.12569,
        3.09136,
        3.0679,
        3.03945,
        2.98746,
        2.97187,
        2.99663,
        3.00849,
        2.99823,
        2.9675,
        2.94194,
        2.94023,
        2.95673,
        3.02407,
        3.09282,
        3.15554,
        3.14179,
        3.05708,
        2.99126,
        3.05079,
        3.14456,
        3.12462,
        3.16534,
        3.26351,
        3.4429,
        3.47922,
        3.28779,
        3.1146,
        3.00182,
        3.00339,
        3.01022,
        3.00281,
        3.00727,
        3.01081,
        3.04387,
        3.13451,
        3.14366,
        3.09787,
        3.09552,
        3.18461,
        3.40205,
        3.36413,
        3.24504,
        3.04931,
        3.01213,
        3.02691,
        3.07429,
        3.11805,
        3.19336,
        3.30519,
        3.24152,
        3.10421,
        3.09925,
        3.09271,
        3.02081,
        3.08672,
        3.16263,
        3.16584,
        3.11903,
        3.08517,
        3.0377,
        3.03702,
        3.06339,
        3.07671,
        3.07805,
        3.04399,
        3.08391,
        3.06578,
        3.02258,
        3.0018,
        3.00997,
        3.05465,
        3.08205,
        3.13344,
        3.26226,
        3.35586,
        3.37078,
        3.27265,
        3.24604,
        3.24212,
        3.25432,
        3.20231,
        3.12604,
        3.05013,
        3.00519,
        2.9619,
        2.98116,
        3.02803,
        3.10316,
        3.23789,
        3.35306,
        3.38664,
        3.31769,
        3.29416,
        3.2757,
        3.22203,
        3.1343,
        3.09486,
        3.1083,
        3.15396,
        3.19979,
        3.21838,
        3.23279,
        3.24895,
        3.24246,
        3.24262,
        3.21935,
        3.13313,
        3.0442,
        2.99237,
        2.9792,
        2.97936,
        2.99245,
        3.03681,
        3.07855,
        3.04451,
        2.97269,
        2.96083,
        2.95725,
        3.00415,
        3.06797,
        3.09254,
        3.12648,
        3.16345,
        3.16684,
        3.1528,
        3.12873,
        3.12492,
        3.16713,
        3.22697,
        3.2232,
        3.05537,
        2.95841,
        2.90718,
        2.95929,
        3.06867,
        3.31404,
        3.48254,
        3.47896,
        3.35376,
        3.31987,
        3.22916,
        3.10687,
        3.06883,
        3.05167,
        3.06601,
        3.1704,
        3.21493,
        3.08828,
        3.04345,
        3.04237,
        3.20813,
        3.18345,
        3.11659,
        3.05104,
        3.04161,
        3.08711,
        3.12955,
        3.09247,
        3.03428,
        3.00895,
        3.04208,
        3.09545,
        3.17782,
        3.2156,
        3.28576,
        3.33131,
        3.22472,
        3.06522,
        2.98902,
        3.00087,
        2.98532,
        2.96143,
        2.93341,
        2.92896,
        2.92981,
        2.92994,
        2.92927,
        2.95093,
        2.93552,
        2.92839,
        2.9196,
        2.91412,
        2.94495,
        3.01493,
        3.07272,
        3.10478,
        3.10822,
        3.0936,
        3.14364,
        3.26245,
        3.32156,
        3.17941,
        3.04785,
        3.03179,
        3.01349,
        2.97268,
        2.95285,
        2.96551,
        2.98084,
        2.95906,
        2.94554,
        2.93753,
        2.951,
        2.97195,
        3.02243,
        3.15258,
        3.2971,
        3.37567,
        3.26485,
        3.14676,
        3.03681,
        2.9703,
        2.98259,
        3.02217,
        3.05846,
        3.06049,
        3.03161,
        3.00156,
        2.96931,
        2.96619,
        2.9726,
        2.96087,
        2.95622,
        3.01457,
        3.03624,
        3.06807,
        3.05073,
        3.13991,
        3.22409,
        3.25356,
        3.16753,
        3.09668,
        3.08255,
        3.15847,
        3.1449,
        3.04858,
        2.98871,
        2.97224,
        2.9811,
        2.98461,
        2.98751,
        2.99966,
        3.03022,
        3.08067,
        3.14456,
        3.12275,
        3.05402,
        2.99846,
        2.99056,
        2.99013,
        2.99488,
        3.00782,
        2.99485,
        3.01977,
        3.18147,
        3.36907,
        3.54743,
        3.63704,
        3.60772,
        3.49235,
        3.24758,
        3.09874,
        3.06794,
        3.11139,
        3.12512,
        3.06479,
        3.01508,
        3.00659,
        3.01126,
        3.0401,
        3.05003,
        3.03238,
        3.00093,
        2.9771,
        2.97066,
        2.96782,
        3.01846,
        3.09846,
        3.19143,
        3.16851,
        3.05289,
        2.9803,
        2.99858,
        3.02548,
        3.06359,
        3.11707,
        3.12956,
        3.07071,
        2.97409,
        2.94564,
        2.94835,
        2.97119,
        3.00764,
        3.01575,
        3.00442,
        2.95833,
        2.94962,
        3.00138,
        3.09193,
        3.07665,
        2.99313,
        2.94884,
        2.95164,
        2.97494,
        3.03963,
        3.05475,
        3.06193,
        3.12624,
        3.22907,
        3.19892,
        3.07729,
        3.01538,
        2.9866,
        2.97909,
        2.93518,
        2.95453,
        2.97417,
        3.07119,
        3.1914,
        3.28731,
        3.20387,
        3.12032,
        3.07382,
        3.06243,
        3.02952,
        2.9842,
        2.96989,
        3.00387,
        3.04341,
        3.05235,
        3.04142,
        3.00624,
        3.02325,
        3.21246,
        3.37888,
        3.44846,
        3.43745,
        3.34092,
        3.16085,
        3.11489,
        3.10892,
        3.09074,
        3.05463,
        3.01273,
        2.99044,
        2.99381,
        3.00498,
        3.02637,
        2.99682,
        2.96412,
        2.9519,
        3.02027,
        3.05577,
        3.06031,
        3.00022,
        2.92716,
        2.90779,
        2.93358,
        2.9472,
        3.0012,
        3.03506,
        3.14197,
        3.33514,
        3.45694,
        3.41706,
        3.31558,
        3.30107,
        3.24241,
        3.15314,
        3.04561,
        2.96996,
        2.94518,
        2.9979,
        3.0874,
        3.27101,
        3.41241,
        3.38508,
        3.27165,
        3.0701,
        2.98371,
        2.93799,
        2.96785,
        3.04321,
        3.16913,
        3.29924,
        3.18455,
        3.09708,
        2.9899,
        2.96015,
        2.96686,
        2.98234,
        2.99665,
        2.98796,
        2.99743,
        3.04763,
        3.0763,
        3.06773,
        3.04499,
        3.03108,
        3.03008,
        3.02525,
        3.0141,
        3.02722,
        3.0402,
        3.02919,
        3.01805,
        3.01841,
        3.0543,
        3.11097,
        3.24237,
        3.21989,
        3.21311,
        3.34176,
        3.36103,
        3.26015,
        3.06754,
        2.98428,
        2.97855,
        3.06739,
        3.07861,
        3.09223,
        3.15446,
        3.26109,
        3.24599,
        3.12299,
        3.03637,
        3.0473,
        3.03256,
        3.03422,
        3.04332,
        3.0702,
        3.17624,
        3.18429,
        3.12954,
        2.99817,
        2.96772,
        2.95302,
        3.019,
        3.09489,
        3.15546,
        3.22587,
        3.14108,
        3.0848,
        3.05561,
        3.01755,
        3.06579,
        3.1353,
        3.10257,
        3.02188,
        2.97842,
        2.97419,
        3.01693,
        3.09733,
        3.27892,
        3.26172,
        3.17501,
        3.09535,
        3.12005,
        3.15454,
        3.16905,
        3.1265,
        3.09497,
        3.08654,
        3.08777,
        3.03191,
        2.98831,
        2.95826,
        2.96257,
        2.98194,
        2.99662,
        3.01313,
        3.04299,
        3.06119,
        3.07698,
        3.02445,
        2.99709,
        2.99471,
        3.05107,
        3.11843,
        3.13338,
        3.09767,
        3.01057,
        2.99842,
        3.03118,
        3.10225,
        3.1618,
        3.11157,
        3.02848,
        3.01546,
        3.12536,
        3.25683,
        3.226,
        3.11253,
        3.02589,
        2.98852,
        2.97583,
        2.97916,
        3.00973,
        3.15891,
        3.39907,
        3.48973,
        3.2997,
        3.06764,
        3.00596,
        2.98308,
        2.97694,
        2.9715,
        2.93999,
        2.94395,
        2.95804,
        2.98163,
        3.09515,
        3.23707,
        3.20541,
        3.09217,
        2.98854,
        2.93307,
        2.91331,
        2.94457,
        3.07223,
        3.2885,
        3.40651,
        3.21344,
        3.09612,
        3.06217,
        3.07834,
        3.04233,
        3.0047,
        3.03657,
        3.07189,
        3.06542,
        3.02585,
        2.974,
        2.95432,
        2.94169,
        2.9277,
        2.91396,
        2.89196,
        2.89069,
        2.90854,
        2.93357,
        2.99166,
        3.16851,
        3.26985,
        3.30267,
        3.25602,
        3.14175,
        3.05345,
        2.98583,
        2.95374,
        2.97984,
        3.01936,
        3.02889,
        2.99884,
        2.97209,
        2.96365,
        3.01616,
        3.05709,
        3.08228,
        3.14274,
        3.21421,
        3.22631,
        3.16085,
        3.14525,
        3.17666,
        3.28957,
        3.35284,
        3.2259,
        3.06738,
        2.98621,
        3.01564,
        3.09104,
        3.24291,
        3.20635,
        3.08542,
        2.97799,
        2.9488,
        2.94178,
        2.98,
        3.02447,
        3.05932,
        3.02271,
        2.95946,
        2.93757,
        2.93718,
        2.96327,
        3.00368,
        3.07137,
        3.09248,
        3.06728,
        3.09504,
        3.08718,
        3.04668,
        2.99165,
        3.01825,
        3.072,
        3.05209,
        3.02422,
        3.06096,
        3.12871,
        3.19144,
        3.23907,
        3.20711,
        3.14955,
        3.12911,
        3.10355,
        3.06253,
        3.01892,
        2.99505,
        3.01234,
        3.05692,
        3.05891,
        3.03298,
        2.99467,
        2.97988,
        3.01331,
        3.12171,
        3.24124,
        3.23192,
        3.07374,
        3.01796,
        3.01269,
        3.02698,
        3.07676,
        3.1428,
        3.20119,
        3.25549,
        3.37545,
        3.44646,
        3.30735,
        3.16391,
        3.10147,
        3.04061,
        3.01173,
        3.02534,
        3.01323,
        2.97308,
        2.96973,
        2.98077,
        2.96156,
        2.94941,
        2.95444,
        2.96311,
        2.99297,
        3.03219,
        3.08155,
        3.20001,
        3.2863,
        3.22684,
        3.11184,
        3.0325,
        2.98801,
        2.96885,
        3.01891,
        3.11532,
        3.23543,
        3.28666,
        3.15261,
        3.03593,
        2.98497,
        2.9705,
        2.95668,
        2.96591,
        2.98701,
        3.05952,
        3.189,
        3.25008,
        3.12716,
        3.02266,
        2.97635,
        2.98982,
        3.01957,
        3.07061,
        3.14198,
        3.2592,
        3.2818,
        3.23224,
        3.14307,
        3.05664,
        3.04477,
        3.0965,
        3.29723,
        3.32347,
        3.2643,
        3.14696,
        3.07027,
        3.0213,
        2.99995,
        3.0297,
        3.13799,
        3.21152,
        3.1431,
        3.03965,
        2.99539,
        2.97474,
        2.94377,
        2.93726,
        2.9438,
        2.96052,
        2.99007,
        2.98844,
        2.96927,
        2.97246,
        2.99345,
        3.00471,
        3.01915,
        2.99403,
        2.97231,
        2.97524,
        2.96658,
        2.95162,
        2.96681,
        2.98957,
        3.02437,
        3.03822,
        3.02337,
        3.01799,
        2.98504,
        2.97923,
        2.98523,
        3.01734,
        3.07776,
        3.15666,
        3.22489,
        3.27821,
        3.42921,
        3.51608,
        3.4879,
        3.33056,
        3.26882,
        3.2665,
        3.21115,
        3.08365,
        3.02502,
        3.04144,
        3.13495,
        3.20006,
        3.16849,
        3.1148,
        3.17343,
        3.34795,
        3.42938,
        3.27481,
        3.10153,
        2.99749,
        2.95901,
        2.95721,
        2.98343,
        2.99045,
        3.00132,
        3.0087,
        3.0029,
        3.02679,
        3.03285,
        3.04125,
        3.09018,
        3.16336,
        3.14052,
        3.09141,
        3.06325,
        3.19211,
        3.30303,
        3.2843,
        3.10125,
        3.0313,
        3.02041,
        3.02413,
        3.02915,
        3.02188,
        3.03044,
        3.02688,
        3.00723,
        3.01903,
        3.05469,
        3.17652,
        3.1472,
        3.08891,
        3.03224,
        3.02489,
        3.07841,
        3.12509,
        3.18797,
        3.27676,
        3.29991,
        3.24272,
        3.07462,
        2.99136,
        2.94533,
        2.92379,
        2.9686,
        2.94995,
        2.92839,
        2.92635,
        2.95456,
        3.02503,
        3.11201,
        3.16047,
        3.10545,
        3.09192,
        3.13419,
        3.21531,
        3.14201,
        3.07104,
        3.05273,
        3.07297,
        3.08863,
        3.07521,
        3.02512,
        2.98718,
        2.98307,
        2.97241,
        2.98498,
        2.97431,
        2.97895,
        3.01804,
        2.98295,
        2.95616,
        2.97548,
        3.00969,
        3.0763,
        3.14985,
        3.12226,
        3.09969,
        3.16174,
        3.30026,
        3.23139,
        3.09593,
        2.98909,
        2.95972,
        2.95032,
        2.95583,
        2.95557,
        3.02009,
        3.10566,
        3.13204,
        3.11051,
        3.09842,
        3.0627,
        3.02364,
        3.03231,
        3.06158,
        3.05934,
        3.07025,
        3.14501,
        3.14067,
        3.13033,
        3.16768,
        3.16521,
        3.085,
        3.02478,
        2.98049,
        3.06452,
        3.15177,
        3.19962,
        3.16294,
        3.09917,
        3.17819,
        3.23201,
        3.19288,
        3.16719,
        3.11585,
        3.05272,
        3.00286,
        2.98714,
        2.97259,
        2.92776,
        2.96524,
        2.98862,
        2.98762,
        2.99502,
        2.98662,
        2.9753,
        2.96906,
        2.9769,
        2.95766,
        2.96922,
        3.04453,
        3.16114,
        3.22002,
        3.30719,
        3.42614,
        3.59806,
        3.66977,
        3.58339,
        3.50445,
        3.36331,
        3.22783,
        3.24546,
        3.32907,
        3.32832,
        3.32804,
        3.35435,
        3.2105,
        3.13832,
        3.19057,
        3.34999,
        3.2725,
        3.16189,
        3.177,
        3.36629,
        3.37947,
        3.23449,
        3.0799,
        3.06933,
        3.08716,
        3.08186,
        3.07293,
        3.16712,
        3.31034,
        3.30119,
        3.11306,
        3.01063,
        2.97134,
        2.95635,
        2.95202,
        2.9789,
        3.06509,
        3.17168,
        3.13525,
        3.06072,
        3.00724,
        2.99162,
        3.00344,
        3.06842,
        3.09942,
        3.08509,
        3.08301,
        3.08479,
        3.10193,
        3.13241,
        3.15281,
        3.16362,
        3.14194,
        3.11071,
        3.12916,
        3.17202,
        3.21755,
        3.22298,
        3.18412,
        3.15487,
        3.14998,
        3.17096,
        3.15709,
        3.12847,
        3.07776,
        3.02711,
        2.99951,
        2.98345,
        2.9938,
        2.97962,
        2.99537,
        3.00945,
        3.03968,
        3.05608,
        3.06558,
        3.11632,
        3.13998,
        3.0838,
        3.02593,
        2.98752,
        2.97906,
        2.99916,
        3.05103,
        3.08566,
        3.08663,
        3.07979,
        3.0904,
        3.06888,
        3.03989,
        3.05111,
        3.1357,
        3.246,
        3.32123,
        3.26495,
        3.15165,
        3.07415,
        3.08116,
        3.13723,
        3.12149,
        3.12387,
        3.12364,
        3.19624,
        3.25925,
        3.23787,
        3.10888,
        3.0668,
        3.11684,
        3.13371,
        3.12178,
        3.14365,
        3.11409,
        3.06352,
        3.0076,
        3.01943,
        3.06353,
        3.12878,
        3.13156,
        3.08317,
        3.07181,
        3.06424,
        3.06473,
        3.14662,
        3.25254,
        3.27488,
        3.1176,
        3.00289,
        2.96967,
        2.97106,
        2.95926,
        2.95517,
        2.96777,
        2.98333,
        2.98919,
        2.98722,
        2.98979,
        3.00268,
        3.00293,
        3.02425,
        3.07041,
        3.1871,
        3.32005,
        3.30976,
        3.222,
        3.19677,
        3.158,
        3.1605,
        3.16034,
        3.08035,
        3.00825,
        2.97719,
        2.98389,
        3.07177,
        3.19238,
        3.30778,
        3.4124,
        3.3589,
        3.217,
        3.13919,
        3.10893,
        3.10841,
        3.13809,
        3.18665,
        3.22892,
        3.27887,
        3.27523,
        3.13079,
        3.0726,
        3.12243,
        3.30927,
        3.30474,
        3.23959,
        3.2268,
        3.22732,
        3.20523,
        3.37148,
        3.46562,
        3.40805,
        3.24049,
        3.12461,
        3.05849,
        3.01761,
        3.03161,
        3.02528,
        3.17157,
        3.27479,
        3.29864,
        3.19405,
        3.11995,
        3.06397,
        3.04168,
        3.05126,
        3.11611,
        3.246,
        3.34904,
        3.32364,
        3.20826,
        3.13818,
        3.08762,
        3.07899,
        3.18705,
        3.38375,
        3.40803,
        3.28091,
        3.11252,
        3.05091,
        3.0296,
        3.03099,
        3.03909,
        3.03654,
        3.01386,
        2.99007,
        2.97645,
        3.06382,
        3.14423,
        3.18176,
        3.1951,
        3.12575,
        3.05644,
        2.99753,
        3.00373,
        3.01987,
        3.04377,
        3.04506,
        3.01651,
        3.01537,
        3.03883,
        3.04501,
        3.07625,
        3.15462,
        3.28373,
        3.33516,
        3.29267,
        3.2527,
        3.15813,
        3.08393,
        3.08629,
        3.05789,
        3.0607,
        3.07136,
        3.09121,
        3.06794,
        3.08675,
        3.17035,
        3.16915,
        3.26569,
        3.23682,
        3.23105,
        3.3076,
        3.2753,
        3.12087,
        3.10301,
        3.0903,
        3.09044,
        3.10928,
        3.05156,
        3.03512,
        3.05941,
        3.09751,
        3.12049,
        3.13762,
        3.09088,
        3.1073,
        3.09223,
        3.13807,
        3.15546,
        3.09932,
        3.0482,
        3.07192,
        3.13841,
        3.14116,
        3.09917,
        3.08617,
        3.0945,
        3.09642,
        3.09633,
        3.06309,
        3.07894,
        3.12223,
        3.11286,
        3.08017,
        3.05328,
        3.15242,
        3.10458,
        3.04024,
        3.15456,
        3.23296,
        3.31701,
        3.257,
        3.35355,
        3.31052,
        3.16812,
        3.1269,
        3.13851,
        3.14739,
        3.113,
        3.07849,
        3.12977,
        3.094,
        3.08756,
        3.0598,
        3.11547,
        3.14875,
        3.14525,
        3.08525,
        3.11419,
        3.17426,
        3.21995,
        3.26969,
        3.34244,
        3.29349,
        3.28133,
        3.23987,
        3.20662,
        3.21905,
        3.19687,
        3.38909,
        3.42984,
        3.21354,
        3.09374,
        3.08328,
        3.10564,
        3.08479,
        3.09528,
        3.18924,
        3.21923,
        3.18478,
        3.28391,
        3.38221,
        3.29493,
        3.24723,
        3.32246,
        3.25022,
        3.15127,
        3.13069,
        3.15083,
        3.14643,
        3.19483,
        3.21257,
        3.18458,
        3.16605,
        3.16175,
        3.20635,
        3.25257,
        3.18017,
        3.1497,
        3.20082,
        3.17004,
        3.15414,
        3.12062,
        3.13257,
        3.13929,
        3.13734,
        3.09459,
        3.09726,
        3.10149,
        3.14896,
        3.16693,
        3.18165,
        3.23713,
        3.36417,
        3.43142,
        3.30427,
        3.21587,
        3.23204,
        3.27887,
        3.35119,
        3.30934,
        3.15401,
        3.17213,
        3.13876,
        3.14628,
        3.11503,
        3.09738,
        3.09808,
        3.12767,
        3.163,
        3.15642,
        3.16251,
        3.13935,
        3.17483,
        3.23764,
        3.31464,
        3.23475,
        3.19266,
        3.17237,
        3.14063,
        3.14086,
        3.13562,
        3.15796,
        3.14303,
        3.15122,
        3.10738,
        3.10501,
        3.10345,
        3.11308,
        3.13879,
        3.17339,
        3.26405,
        3.3117,
        3.36712,
        3.35666,
        3.35978,
        3.24234,
        3.23728,
        3.34075,
        3.31867,
        3.21494,
        3.24579,
        3.33121,
        3.27239,
        3.21443,
        3.21387,
        3.29596,
        3.31055,
        3.24247,
        3.19179,
        3.19791,
        3.16705,
        3.25866,
        3.2761,
        3.32005,
        3.45082,
        3.39996,
        3.37183,
        3.39809,
        3.40948,
        3.36133,
        3.36991,
        3.47726,
        3.51175,
        3.43067,
        3.40578,
        3.38896,
        3.28981,
        3.22002,
        3.24551,
        3.24333,
        3.27824,
        3.28886,
        3.33191,
        3.36904,
        3.37563,
        3.31784,
        3.30246,
        3.32653,
        3.22633,
        3.2046,
        3.17559,
        3.2013,
        3.27106,
        3.27827,
        3.29326,
        3.29471,
        3.24161,
        3.2364,
        3.18348,
        3.14819,
        3.19847,
        3.36275,
        3.40045,
        3.29611,
        3.23305,
        3.20409,
        3.1852,
        3.21033,
        3.24748,
        3.3315,
        3.36018,
        3.3483,
        3.21135,
        3.18854,
        3.165,
        3.23427,
        3.25878,
        3.36904,
        3.475,
        3.45857,
        3.4255,
        3.38015,
        3.40825,
        3.41458,
        3.45695,
        3.36382,
        3.34411,
        3.37585,
        3.35629,
        3.27386,
        3.28652,
        3.25994,
        3.24202,
        3.25473,
        3.29667,
        3.29704,
        3.30068,
        3.29395,
        3.31156,
        3.3715,
        3.32994,
        3.31067,
        3.25876,
        3.26349,
        3.30293,
        3.33167,
        3.26289,
        3.3069,
        3.22645,
        3.25138,
        3.25776,
        3.33774,
        3.3254,
        3.27745,
        3.25656,
        3.2386,
        3.26146,
        3.263,
        3.28506,
        3.33572,
        3.44815,
        3.45593,
        3.44609,
        3.35992,
        3.38451,
        3.29344,
        3.34024,
        3.3836,
        3.46521,
        3.43648,
        3.36512,
        3.31514,
        3.34056,
        3.33471,
        3.3424,
        3.33724,
        3.36981,
        3.37956,
        3.4018,
        3.3776,
        3.36381,
        3.48981,
        3.47417,
        3.39171,
        3.37762,
        3.47312,
        3.49583,
        3.52617,
        3.5009,
        3.48887,
        3.45431,
        3.48467,
        3.45318,
        3.40198,
        3.34083,
        3.3854,
        3.41289,
        3.45145,
        3.50243,
        3.43725,
        3.39638,
        3.32763,
        3.33383,
        3.3375,
        3.40971,
        3.48514,
        3.54214,
        3.43159,
        3.38893,
        3.36355,
        3.4163,
        3.43363,
        3.44944,
        3.41995,
        3.42911,
        3.42437,
        3.4263,
        3.42108,
        3.40506,
        3.39587,
        3.3613,
        3.40819,
        3.41186,
        3.47387,
        3.45535,
        3.4874,
        3.46542,
        3.42935,
        3.39059,
        3.41614,
        3.41118,
        3.43174,
        3.4214,
        3.45617,
        3.46632,
        3.51405,
        3.54121,
        3.56479,
        3.49516,
        3.47468,
        3.4581,
        3.48233,
        3.46843,
        3.4631,
        3.46122,
        3.45753,
        3.41348,
        3.41426,
        3.44871,
        3.43712,
        3.50292,
        3.45614,
        3.49819,
        3.46605,
        3.47784,
        3.44223,
        3.44149,
        3.39516,
        3.44605,
        3.44366,
        3.51207,
        3.45849,
        3.46148,
        3.44692,
        3.48727,
        3.48206,
        3.52997,
        3.52005,
        3.55179,
        3.5439,
        3.52706,
        3.56735,
        3.66379,
        3.6327,
        3.62343,
        3.64526,
        3.60557,
        3.60819,
        3.69511,
        3.68013,
        3.54345,
        3.50475,
        3.50501,
        3.55116,
        3.53224,
        3.54549,
        3.55025,
        3.5627,
        3.54596,
        3.52611,
        3.49346,
        3.55167,
        3.5678,
        3.58776,
        3.56825,
        3.56152,
        3.54921,
        3.57035,
        3.56467,
        3.56827,
        3.59274,
        3.69822,
        3.71826,
        3.63263,
        3.60102,
        3.58469,
        3.58856,
        3.60937,
        3.6493,
        3.60576,
        3.58668,
        3.64481,
        3.62666,
        3.58104,
        3.57692,
        3.59795,
        3.59907,
        3.61,
        3.59038,
        3.55242,
        3.53548,
        3.54493,
        3.58367,
        3.61584,
        3.60028,
        3.58045,
        3.66347,
        3.63889,
        3.58878,
        3.59732,
        3.57508,
        3.60248,
        3.65282,
        3.63753,
        3.61763,
        3.60588,
        3.61585,
        3.60392,
        3.61219,
        3.68315,
        3.70365,
        3.64256,
        3.59959,
        3.65539,
        3.71002,
        3.65957,
        3.62708,
        3.6574,
        3.64344,
        3.62701,
        3.67488,
        3.60521,
        3.60346,
        3.62933,
        3.63824,
        3.65913,
        3.66514,
        3.7246,
        3.72237,
        3.70703,
        3.69159,
        3.64841,
        3.64258,
        3.66681,
        3.66145,
        3.65493,
        3.66257,
        3.65474,
        3.67739,
        3.68553,
        3.68024,
        3.71152,
        3.73051,
        3.70013,
        3.66392,
        3.65377,
        3.68077,
        3.65618,
        3.63296,
        3.6747,
        3.62194,
        3.64451,
        3.65474,
        3.64962,
        3.64878,
        3.64688,
        3.66544,
        3.66921,
        3.68797,
        3.71572,
        3.68747,
        3.68914,
        3.69188,
        3.69764,
        3.69335,
        3.69397,
        3.71977,
        3.73307,
        3.73689,
        3.76138,
        3.79748,
        3.83744,
        3.81355,
        3.768,
        3.75144,
        3.73437,
        3.71892,
        3.70568,
        3.75494,
        3.78911,
        3.77181,
        3.70589,
        3.69017,
        3.73052,
        3.75279,
        3.78026,
        3.77745,
        3.7913,
        3.78289,
        3.73978,
        3.72665,
        3.71841,
        3.72511,
        3.74885,
        3.78408,
        3.74732,
        3.7331,
        3.75573,
        3.72349,
        3.71225,
        3.73646,
        3.73114,
        3.79212,
        3.84511,
        3.84748,
        3.77505,
        3.75294,
        3.7412,
        3.73983,
        3.75674,
        3.78117,
        3.77868,
        3.80069,
        3.84328,
        3.85033,
        3.82166,
        3.81199,
        3.81991,
        3.80351,
        3.78429,
        3.80517,
        3.8175,
        3.81137,
        3.80521,
        3.78069,
        3.79795,
        3.76678,
        3.77298,
        3.74741,
        3.75152,
        3.76057,
        3.78933,
        3.75052,
        3.78307,
        3.73993,
        3.72927,
        3.77479,
        3.75922,
        3.74721,
        3.79074,
        3.79129,
        3.76746,
        3.78256,
        3.75949,
        3.79906,
        3.74453,
        3.74363,
        3.79778,
        3.86549,
        3.91723,
        3.86457,
        3.9238,
        3.86925,
        3.83734,
        3.8142,
        3.79005,
        3.77925,
        3.84056,
        3.83058,
        3.85157,
        3.79404,
        3.80039,
        3.79038,
        3.82048,
        3.85115,
        3.92519,
        3.89606,
        3.91817,
        3.85985,
        3.84948,
        3.84074,
        3.81876,
        3.80149,
        3.83798,
        3.82067,
        3.84788,
        3.82902,
        3.82799,
        3.78548,
        3.80798,
        3.79649,
        3.83091,
        3.79771,
        3.81612,
        3.85028,
        3.86013,
        3.84517,
        3.85807,
        3.81559,
        3.81172,
        3.79668,
        3.80248,
        3.81864,
        3.86016,
        3.87995,
        3.9173,
        3.94824,
        3.90554,
        3.86855,
        3.85475,
        3.85471,
        3.86811,
        3.90149,
        3.90035,
        3.93282,
        3.92917,
        3.9379,
        3.86949,
        3.85401,
        3.85107,
        3.87204,
        3.87557,
        3.89474,
        3.89827,
        3.90036,
        3.90061,
        3.91915,
        3.92281,
        3.93142,
        3.87008,
        3.89581,
        3.93624,
        3.97837,
        3.9334,
        3.88275,
        3.86184,
        3.85877,
        3.85907,
        3.88505,
        3.90614,
        3.92255,
        3.90303,
        3.89861,
        3.9072,
        3.9105,
        3.9373,
        3.93162,
        3.93477,
        3.89571,
        3.90422,
        3.9208,
        3.9193,
        3.90356,
        3.90882,
        3.8783,
        3.92121,
        3.91051,
        3.96205,
        3.97025,
        3.94242,
        3.91211,
        3.94078,
        3.90953,
        3.91651,
        3.91967,
        3.96886,
        3.96386,
        3.9368,
        3.90965,
        3.92271,
        3.93283,
        3.9432,
        3.964,
        3.9255,
        3.95801,
        3.95386,
        3.99459,
        3.98314,
        4.03703,
        3.98807,
        3.96742,
        3.90979,
        3.90931,
        3.92291,
        3.90617,
        3.90243,
        3.94149,
        3.9677,
        3.99408,
        4.02383,
        4.02026,
        3.96335,
        3.99417,
        3.90168,
        3.91518,
        3.94937,
        3.96445,
        3.97637,
        3.95519,
        3.94698,
        3.96267,
        3.95879,
        3.96521,
        3.93228,
        3.94943,
        3.9748,
        3.98841,
        4.01528,
        4.00192,
        4.00388,
        3.97488,
        3.96307,
        3.94359,
        3.95254,
        3.95288,
        3.93908,
        3.96769,
        3.98119,
        3.97883,
        3.9615,
        3.94797,
        3.95257,
        3.97842,
        3.95395,
        3.95295,
        3.96702,
        3.97693,
        3.9686,
        3.98738,
        3.99015,
        4.01017,
        3.9867,
        4.00521,
        3.96533,
        3.9847,
        3.99702,
        4.01046,
        4.00993,
        4.05052,
        4.11212,
        4.1026,
        4.08384,
        4.08391,
        4.05107,
        4.05234,
        4.06124,
        4.01102,
        3.98976,
        3.98563,
        4.01163,
        4.01598,
        3.9978,
        4.01261,
        4.03837,
        4.07387,
        4.02623,
        4.03406,
        4.03208,
        4.05065,
        4.0484,
        4.08581,
        4.09169,
        4.08899,
        4.04099,
        4.02246,
        4.00176,
        4.01072,
        4.00664,
        4.0049,
        4.00171,
        4.0209,
        4.0327,
        4.02988,
        4.04157,
        4.02734,
        4.04813,
        4.06545,
        4.12765,
        4.11876,
        4.0609,
        4.0417,
        4.03411,
        4.04812,
        4.06111,
        4.08868,
        4.08572,
        4.09314,
        4.07409,
        4.05435,
        4.04489,
        4.02801,
        4.02463,
        4.04537,
        4.07705,
        4.10748,
        4.12502,
        4.13783,
        4.14576,
        4.10336,
        4.06498,
        4.03675,
        4.03435,
        4.0577,
        4.05936,
        4.0725,
        4.10608,
        4.10954,
        4.0801,
        4.08933,
        4.09256,
        4.10128,
        4.10195,
        4.10899,
        4.1164,
        4.1879,
        4.19458,
        4.26801,
        4.30047,
        4.27603,
        4.2184,
        4.19324,
        4.16301,
        4.12377,
        4.11599,
        4.10184,
        4.06767,
        4.09217,
        4.12565,
        4.13705,
        4.12152,
        4.11412,
        4.08025,
        4.06874,
        4.06492,
        4.07718,
        4.06229,
        4.07879,
        4.08915,
        4.10438,
        4.10805,
        4.14076,
        4.1312,
        4.12349,
        4.13593,
        4.16663,
        4.15052,
        4.12847,
        4.1277,
        4.139,
        4.15404,
        4.17959,
        4.19987,
        4.17195,
        4.14711,
        4.13251,
        4.11099,
        4.11425,
        4.13296,
        4.12127,
        4.13323,
        4.13662,
        4.16964,
        4.19341,
        4.19563,
        4.18075,
        4.14717,
        4.13527,
        4.11036,
        4.13802,
        4.12337,
        4.15894,
        4.11199,
        4.12926,
        4.10457,
        4.12151,
        4.12195,
        4.13508,
        4.15027,
        4.15855,
        4.15105,
        4.17699,
        4.17405,
        4.16248,
        4.16276,
        4.16749,
        4.17612,
        4.16241,
        4.12285,
        4.13598,
        4.14452,
        4.14907,
        4.14498,
        4.15012,
        4.15888,
        4.18339,
        4.19441,
        4.20387,
        4.19597,
        4.2096,
        4.2218,
        4.22351,
        4.21224,
        4.18669,
        4.18013,
        4.17391,
        4.14825,
        4.17092,
        4.18867,
        4.1915,
        4.19229,
        4.16855,
        4.18447,
        4.1833,
        4.20687,
        4.22869,
        4.20193,
        4.21321,
        4.22531,
        4.22401,
        4.23199,
        4.21172,
        4.22656,
        4.19453,
        4.17671,
        4.2119,
        4.21161,
        4.18635,
        4.20647,
        4.21278,
        4.19926,
        4.22449,
        4.24284,
        4.25058,
        4.23318,
        4.2352,
        4.24308,
        4.24117,
        4.24792,
        4.23847,
        4.2242,
        4.23484,
        4.21878,
        4.24611,
        4.23556,
        4.23428,
        4.22585,
        4.21249,
        4.21885,
        4.2176,
        4.25248,
        4.26905,
        4.27535,
        4.27877,
        4.29065,
        4.28719,
        4.28309,
        4.31565,
        4.32141,
        4.31552,
        4.29859,
        4.28952,
        4.28755,
        4.2605,
        4.26827,
        4.26563,
        4.26339,
        4.28411,
        4.28577,
        4.29065,
        4.26489,
        4.26517,
        4.27472,
        4.26617,
        4.26908,
        4.28912,
        4.27536,
        4.3011,
        4.34207,
        4.39091,
        4.34246,
        4.31887,
        4.2981,
        4.27708,
        4.28203,
        4.30278,
        4.33249,
        4.33514,
        4.31669,
        4.31434,
        4.30985,
        4.32343,
        4.3217,
        4.32002,
        4.31556,
        4.29943,
        4.29618,
        4.31423,
        4.30964,
        4.34144,
        4.34682,
        4.32651,
        4.33711,
        4.34187,
        4.34456,
        4.35455,
        4.3488,
        4.36366,
        4.37346,
        4.34624,
        4.34362,
        4.34261,
        4.3179,
        4.31554,
        4.33363,
        4.32245,
        4.31202,
        4.31723,
        4.34588,
        4.32883,
        4.3477,
        4.35895,
        4.38121,
        4.47755,
        4.48437,
        4.45222,
        4.40833,
        4.39498,
        4.37725,
        4.38874,
        4.40245,
        4.39298,
        4.3779,
        4.36847,
        4.40049,
        4.39964,
        4.38788,
        4.38889,
        4.39132,
        4.37086,
        4.40281,
        4.43037,
        4.428,
        4.40167,
        4.41659,
        4.41706,
        4.44426,
        4.44025,
        4.42677,
        4.4413,
        4.45192,
        4.4402,
        4.43589,
        4.45436,
        4.42193,
        4.41039,
        4.40453,
        4.39138,
        4.40398,
        4.42319,
        4.42443,
        4.43676,
        4.43364,
        4.43699,
        4.45489,
        4.42514,
        4.42287,
        4.4258,
        4.41322,
        4.44402,
        4.43861,
        4.45253,
        4.44927,
        4.45279,
        4.46493,
        4.46767,
        4.47533,
        4.47381,
        4.44805,
        4.43389,
        4.42529,
        4.45024,
        4.4591,
        4.46437,
        4.47247,
        4.46811,
        4.48466,
        4.46664,
        4.46382,
        4.47887,
        4.43699,
        4.44113,
        4.44524,
        4.45804,
        4.47435,
        4.47618,
        4.50177,
        4.50265,
        4.49213,
        4.5078,
        4.46791,
        4.50098,
        4.49526,
        4.48822,
        4.4946,
        4.48657,
        4.48515,
        4.50954,
        4.46993,
        4.49429,
        4.47119,
        4.47184,
        4.46171,
        4.45967,
        4.49156,
        4.4896,
        4.51611,
        4.51329,
        4.50181,
        4.54435,
        4.5224,
        4.555,
        4.53215,
        4.52997,
        4.5469,
        4.52736,
        4.53476,
        4.51016,
        4.50535,
        4.50896,
        4.48716,
        4.51393,
        4.51079,
        4.5329,
        4.54084,
        4.54328,
        4.56911,
        4.5533,
        4.56287,
        4.55932,
        4.56831,
        4.59433,
        4.55021,
        4.57015,
        4.55611,
        4.54627,
        4.55303,
        4.53849,
        4.55092,
        4.54246,
        4.55052,
        4.55134,
        4.56501,
        4.60915,
        4.6169,
        4.58536,
        4.60708,
        4.56958,
        4.60484,
        4.58121,
        4.59056,
        4.58107,
        4.57898,
        4.59716,
        4.54863,
        4.5775,
        4.57752,
        4.57576,
        4.57888,
        4.55572,
        4.58142,
        4.59326,
        4.59148,
        4.59982,
        4.61748,
        4.60486,
        4.63118,
        4.62615,
        4.60061,
        4.58749,
        4.58599,
        4.57906,
        4.58073,
        4.6092,
        4.60135,
        4.59766,
        4.58229,
        4.58107,
        4.58684,
        4.6004,
        4.6309,
        4.65798,
        4.64684,
        4.67284,
        4.63861,
        4.63638,
        4.68043,
        4.70543,
        4.6507,
        4.63204,
        4.65149,
        4.67058,
        4.62338,
        4.63499,
        4.64273,
        4.63174,
        4.62258,
        4.63359,
        4.64437,
        4.66099,
        4.6627,
        4.67757,
        4.6532,
        4.65837,
        4.67098,
        4.66728,
        4.6679,
        4.65645,
        4.67526,
        4.64926,
        4.64307,
        4.64047,
        4.62339,
        4.67452,
        4.67881,
        4.6463,
        4.66316,
        4.64752,
        4.67059,
        4.65687,
        4.67478,
        4.69631,
        4.70245,
        4.69699,
        4.69889,
        4.70361,
        4.68689,
        4.67396,
        4.68498,
        4.64424,
        4.68175,
        4.69258,
        4.6895,
        4.67713,
        4.65702,
        4.64566,
        4.64536,
        4.65035,
        4.68718,
        4.70793,
        4.73211,
        4.69304,
        4.74017,
        4.7422,
        4.722,
        4.71684,
        4.69065,
        4.70489,
        4.69055,
        4.67778,
        4.68225,
        4.67443,
        4.70384,
        4.68143,
        4.68206,
        4.67871,
        4.70191,
        4.72199,
        4.74486,
        4.74471,
        4.7686,
        4.72525,
        4.73347,
        4.74623,
        4.72881,
        4.76023,
        4.75309,
        4.74357,
        4.71159,
        4.75431,
        4.75356,
        4.73196,
        4.69535,
        4.69266,
        4.72435,
        4.69527,
        4.70857,
        4.74836,
        4.77438,
        4.81108,
        4.75092,
        4.80062,
        4.77345,
        4.77937,
        4.82668,
        4.7798,
        4.76278,
        4.75809,
        4.75139,
        4.74112,
        4.74691,
        4.78914,
        4.80902,
        4.79933,
        4.80128,
        4.80874,
        4.81271,
        4.78109,
        4.80976,
        4.81322,
        4.81802,
        4.85698,
        4.89311,
        4.85308,
        4.82659,
        4.84047,
        4.78768,
        4.77941,
        4.77896,
        4.74972,
        4.75205,
        4.74613,
        4.74578,
        4.74509,
        4.74208,
        4.74385,
        4.76345,
        4.78698,
        4.80862,
        4.81192,
        4.81403,
        4.80046,
        4.82591,
        4.82167,
        4.81455,
        4.81658,
        4.81119,
        4.8273,
        4.86159,
        4.89566,
        4.86956,
        4.84587,
        4.80242,
        4.81478,
        4.79105,
        4.79586,
        4.80408,
        4.82417,
        4.83431,
        4.82415,
        4.80974,
        4.82817,
        4.8617,
        4.89863,
        4.88852,
        4.84243,
        4.83039,
        4.82634,
        4.84202,
        4.83121,
        4.80698,
        4.80944,
        4.82067,
        4.80095,
        4.80508,
        4.80787,
        4.84157,
        4.8211,
        4.84564,
        4.86351,
        4.84132,
        4.8409,
        4.82724,
        4.83141,
        4.84144,
        4.84461,
        4.83022,
        4.82405,
        4.84297,
        4.83157,
        4.84604,
        4.85897,
        4.82578,
        4.83179,
        4.84227,
        4.85208,
        4.85659,
        4.86455,
        4.85656,
        4.85913,
        4.91065,
        4.92602,
        4.87624,
        4.87902,
        4.85764,
        4.87245,
        4.86223,
        4.8637,
        4.84945,
        4.84059,
        4.84634,
        4.83407,
        4.8546,
        4.86822,
        4.87268,
        4.87449,
        4.86846,
        4.88055,
        4.88935,
        4.90118,
        4.88184,
        4.87415,
        4.89594,
        4.88446,
        4.8835,
        4.87696,
        4.86013,
        4.86513,
        4.88843,
        4.86539,
        4.85749,
        4.86818,
        4.85192,
        4.87926,
        4.86371,
        4.87026,
        4.88151,
        4.86423,
        4.92031,
        4.88153,
        4.89895,
        4.8985,
        4.89134,
        4.90099,
        4.91059,
        4.92615,
        4.91747,
        4.92715,
        4.91785,
        4.89604,
        4.9056,
        4.89331,
        4.89001,
        4.86992,
        4.87917,
        4.90325,
        4.91628,
        4.8932,
        4.92218,
        4.94893,
        4.90451,
        4.92576,
        4.9341,
        4.94487,
        4.94495,
        4.92005,
        4.93056,
        4.94334,
        4.96833,
        4.95952,
        4.92129,
        4.90559,
        4.90718,
        4.9147,
        4.90477,
        4.92045,
        4.91337,
        4.92802,
        4.93598,
        4.92402,
        4.94067,
        4.93764,
        4.9824,
        4.97354,
        4.96633,
        4.96564,
        4.96242,
        4.93721,
        4.92531,
        4.9239,
        4.92017,
        4.90211,
        4.92641,
        4.91126,
        4.90614,
        4.90279,
        4.90648,
        4.9139,
        4.93894,
        4.92361,
        4.91836,
        4.91642,
        4.92187,
        4.93949,
        4.93191,
        4.94689,
        4.9731,
        4.98346,
        4.98426,
        4.9559,
        4.92543,
        4.93597,
        4.91212,
        4.9236,
        4.92336,
        4.90871,
        4.91638,
        4.94601,
        4.96233,
        4.98706,
        4.98819,
        5.004,
        5.00359,
        5.02626,
        5.0775,
        4.99778,
        4.98847,
        4.96955,
        4.96303,
        4.96735,
        4.9625,
        4.94441,
        4.93053,
        4.95534,
        4.94658,
        4.95426,
        4.91514,
        4.9432,
        4.95303,
        4.97289,
        4.97641,
        4.9742,
        4.96522,
        4.95509,
        4.96055,
        4.94238,
        4.95797,
        4.94987,
        5.00579,
        4.96508,
        4.98089,
        4.98006,
        4.97304,
        4.98155,
        4.96761,
        4.9959,
        4.98662,
        4.9653,
        4.9632,
        4.96757,
        4.98053,
        4.96722,
        4.98161,
        4.95685,
        5.03458,
        4.99762,
        4.96969,
        5.0194,
        5.00453,
        5.04752,
        5.0446,
        5.03773,
        5.02042,
        5.0206,
        5.00031,
        4.99264,
        4.98717,
        4.98358,
        4.98202,
        4.9747,
        4.99405,
        4.99292,
        5.01502,
        5.01222,
        5.03411,
        5.00989,
        5.01099,
        5.03547,
        5.02037,
        5.01945,
        5.02385,
        5.02512,
        5.02848,
        5.04438,
        5.04586,
        5.03579,
        5.03234,
        5.01777,
        4.99898,
        4.99239,
        5.00501,
        4.99639,
        4.9979,
        5.00119,
        5.00961,
        5.04064,
        5.04256,
        5.03836,
        5.06227,
        5.0609,
        5.03914,
        5.02824,
        5.01977,
        5.02944,
        5.0696,
        5.05091,
        5.0482,
        5.04569,
        5.01381,
        5.01637,
        5.02479,
        5.03078,
        5.00894,
        5.00556,
        5.01497,
        5.0214,
        5.03767,
        5.04201,
        5.04728,
        5.04684,
        5.04192,
        5.0628,
        5.06563,
        5.08991,
        5.06652,
        5.05242,
        5.08622,
        5.10836,
        5.11734,
        5.10269,
        5.08376,
        5.07642,
        5.06957,
        5.03871,
        5.04882,
        5.06367,
        5.09221,
        5.09281,
        5.12072,
        5.1327,
        5.12038,
        5.09711,
        5.08522,
        5.08951,
        5.08425,
        5.09182,
        5.10293,
        5.09184,
        5.09647,
        5.09093,
        5.09894,
        5.08554,
        5.09265,
        5.10131,
        5.07409,
        5.05464,
        5.0663,
        5.0701,
        5.04784,
        5.08648,
        5.09707,
        5.11709,
        5.11222,
        5.12498,
        5.07898,
        5.07721,
        5.07085,
        5.06773,
        5.06744,
        5.11075,
        5.11751,
        5.07776,
        5.09705,
        5.07399,
        5.06365,
        5.06793,
        5.06539,
        5.07041,
        5.07609,
        5.07961,
        5.09048,
        5.14349,
        5.2136,
        5.30243,
        5.25856,
        5.21798,
        5.16501,
        5.16671,
        5.16754,
        5.24391,
        5.31697,
        5.2893,
        5.27159,
        5.23182,
        5.17875,
        5.12941,
        5.10498,
        5.12804,
        5.13788,
        5.18251,
        5.15791,
        5.14986,
        5.12122,
        5.13607,
        5.14826,
        5.20208,
        5.17261,
        5.13066,
        5.16245,
        5.11701,
        5.15726,
        5.12969,
        5.15678,
        5.13871,
        5.17136,
        5.12653,
        5.1383,
        5.1155,
        5.13566,
        5.11651,
        5.1085,
        5.11164,
        5.1201,
        5.12662,
        5.12702,
        5.13248,
        5.15529,
        5.15965,
        5.17148,
        5.188,
        5.20375,
        5.14816,
        5.14134,
        5.13092,
        5.21183,
        5.16442,
        5.19956,
        5.1793,
        5.1639,
        5.15311,
        5.14412,
        5.13699,
        5.12891,
        5.1332,
        5.13205,
        5.15677,
        5.147,
        5.13985,
        5.15018,
        5.16503,
        5.18981,
        5.19945,
        5.1389,
        5.1424,
        5.13163,
        5.13717,
        5.20399,
        5.16311,
        5.19492,
        5.20795,
        5.18598,
        5.18778,
        5.18613,
        5.16926,
        5.16371,
        5.15002,
        5.14627,
        5.14068,
        5.17427,
        5.17467,
        5.17655,
        5.18293,
        5.19443,
        5.19512,
        5.20949,
        5.16066,
        5.15714,
        5.18002,
        5.21086,
        5.18242,
        5.18198,
        5.20916,
        5.21044,
        5.20287,
        5.20156,
        5.19219,
        5.18287,
        5.14747,
        5.168,
        5.1584,
        5.16013,
        5.14487,
        5.15826,
        5.14688,
        5.17986,
        5.19507,
        5.20376,
        5.2179,
        5.22848,
        5.19128,
        5.19972,
        5.22965,
        5.24778,
        5.23297,
        5.21625,
        5.22022,
        5.20436,
        5.2126,
        5.21403,
        5.18102,
        5.18736,
        5.17698,
        5.16116,
        5.17894,
        5.18718,
        5.19996,
        5.17913,
        5.1976,
        5.20291,
        5.20826,
        5.23441,
        5.22419,
        5.21915,
        5.22881,
        5.2473,
        5.2643,
        5.27153,
        5.24027,
        5.20658,
        5.19967,
        5.23402,
        5.22558,
        5.21354,
        5.20795,
        5.20782,
        5.19839,
        5.18495,
        5.17421,
        5.20493,
        5.19081,
        5.19141,
        5.22298,
        5.24866,
        5.25258,
        5.18596,
        5.1777,
        5.14852,
        5.174,
        5.19105,
        5.18064,
        5.22456,
        5.23173,
        5.18402,
        5.22336,
        5.22645,
        5.23094,
        5.21413,
        5.23446,
        5.27067,
        5.27357,
        5.25286,
        5.24407,
        5.20902,
        5.20521,
        5.21292,
        5.21457,
        5.21469,
        5.22606,
        5.22609,
        5.23582,
        5.23454,
        5.24071,
        5.23759,
        5.2251,
        5.2403,
        5.217,
        5.20138,
        5.18857,
        5.21458,
        5.21386,
        5.2017,
        5.20128,
        5.18673,
        5.20191,
        5.21422,
        5.22192,
        5.22553,
        5.23629,
        5.23825,
        5.24283,
        5.22554,
        5.25044,
        5.24833,
        5.24559,
        5.25202,
        5.24793,
        5.2576,
        5.25718,
        5.23801,
        5.21171,
        5.21138,
        5.23206,
        5.23425,
        5.24523,
        5.2343,
        5.2434,
        5.24955,
        5.25266,
        5.23472,
        5.23921,
        5.22643,
        5.22661,
        5.25187,
        5.25511,
        5.25463,
        5.24434,
        5.24469,
        5.2319,
        5.22185,
        5.23178,
        5.21122,
        5.20251,
        5.19724,
        5.18734,
        5.22273,
        5.18814,
        5.18789,
        5.18051,
        5.19571,
        5.21635,
        5.22273,
        5.22507,
        5.23185,
        5.21725,
        5.21652,
        5.23581,
        5.24761,
        5.24186,
        5.24465,
        5.26086,
        5.24384,
        5.24757,
        5.23916,
        5.23239,
        5.21998,
        5.19805,
        5.22437,
        5.20977,
        5.20656,
        5.20487,
        5.22081,
        5.27383,
        5.23061,
        5.2169,
        5.21138,
        5.22047,
        5.23806,
        5.24509,
        5.24743,
        5.26519,
        5.26259,
        5.2524,
        5.27775,
        5.26384,
        5.26597,
        5.23876,
        5.23095,
        5.22657,
        5.23136,
        5.23207,
        5.24898,
        5.26041,
        5.24961,
        5.24509,
        5.25968,
        5.28402,
        5.27366,
        5.26344,
        5.26639,
        5.2542,
        5.27033,
        5.2698,
        5.29637,
        5.33132,
        5.33114,
        5.31403,
        5.29228,
        5.25992,
        5.25449,
        5.24658,
        5.22769,
        5.22847,
        5.22633,
        5.20809,
        5.20841,
        5.20556,
        5.23341,
        5.20755,
        5.21493,
        5.23201,
        5.22884,
        5.20886,
        5.22912,
        5.23555,
        5.24937,
        5.27276,
        5.26932,
        5.26488,
        5.2526,
        5.25241,
        5.2445,
        5.22525,
        5.23501,
        5.2435,
        5.23081,
        5.22979,
        5.22545,
        5.22927,
        5.25091,
        5.25094,
        5.223,
        5.21084,
        5.22857,
        5.22647,
        5.22052,
        5.25655,
        5.26442,
        5.2414,
        5.23631,
        5.24511,
        5.27439,
        5.2701,
        5.2277,
        5.2356,
        5.24017,
        5.23372,
        5.24361,
        5.23895,
        5.21137,
        5.2012,
        5.18905,
        5.18548,
        5.18083,
        5.19327,
        5.18664,
        5.19617,
        5.21007,
        5.21479,
        5.24903,
        5.23475,
        5.24042,
        5.25243,
        5.23716,
        5.26655,
        5.28057,
        5.26849,
        5.26123,
        5.26218,
        5.24186,
        5.23636,
        5.24161,
        5.24771,
        5.24957,
        5.25101,
        5.25388,
        5.23813,
        5.24279,
        5.28449,
        5.3176,
        5.29273,
        5.26795,
        5.22464,
        5.23056,
        5.23443,
        5.21451,
        5.23848,
        5.2521,
        5.25105,
        5.24258,
        5.2502,
        5.24181,
        5.25719,
        5.26295,
        5.29944,
        5.35303,
        5.35785,
        5.40209,
        5.44486,
        5.40342,
        5.35817,
        5.29372,
        5.22629,
        5.21533,
        5.19352,
        5.18967,
        5.21439,
        5.23411,
        5.27231,
        5.34267,
        5.42938,
        5.49394,
        5.40843,
        5.31806,
        5.28039,
        5.29174,
        5.25911,
        5.23827,
        5.23575,
        5.2118,
        5.22917,
        5.22565,
        5.20942,
        5.21325,
        5.19502,
        5.18204,
        5.19489,
        5.19039,
        5.19225,
        5.21055,
        5.20778,
        5.2066,
        5.21662,
        5.23108,
        5.24355,
        5.24231,
        5.25279,
        5.28781,
        5.32833,
        5.32027,
        5.33184,
        5.26617,
        5.23778,
        5.26449,
        5.22433,
        5.23917,
        5.225,
        5.19892,
        5.19604,
        5.196,
        5.20137,
        5.20309,
        5.23128,
        5.23647,
        5.1936,
        5.20796,
        5.23779,
        5.21869,
        5.26976,
        5.27121,
        5.30671,
        5.3199,
        5.27726,
        5.27389,
        5.28298,
        5.28756,
        5.29307,
        5.3261,
        5.3272,
        5.38258,
        5.36599,
        5.3538,
        5.37858,
        5.42356,
        5.2542,
        5.23457,
        5.19334,
        5.15402,
        5.17096,
        5.20884,
        5.1871,
        5.23251,
        5.24175,
        5.25573,
        5.26799,
        5.28741,
        5.27686,
        5.31782,
        5.30967,
        5.2792,
        5.30614,
        5.31497,
        5.33891,
        5.35971,
        5.29493,
        5.28179,
        5.24809,
        5.25624,
        5.25212,
        5.2353,
        5.2138,
        5.21683,
        5.237,
        5.26357,
        5.27122,
        5.25717,
        5.22783,
        5.24308,
        5.21025,
        5.2332,
        5.20689,
        5.26859,
        5.25135,
        5.28067,
        5.27187,
        5.24824,
        5.29889,
        5.27437,
        5.28546,
        5.28999,
        5.2486,
        5.26368,
        5.25166,
        5.23412,
        5.22905,
        5.22831,
        5.21417,
        5.26751,
        5.23337,
        5.21684,
        5.26171,
        5.24307,
        5.26899,
        5.30574,
        5.2303,
        5.24529,
        5.29006,
        5.23975,
        5.28292,
        5.32408,
        5.27268,
        5.32216,
        5.30801,
        5.28327,
        5.29471,
        5.23155,
        5.24716,
        5.2749,
        5.23172,
        5.24507,
        5.23119,
        5.22893,
        5.26956,
        5.21946,
        5.21975,
        5.24165,
        5.23057,
        5.22898,
        5.28072,
        5.25695,
        5.24453,
        5.28218,
        5.27907,
        5.27104,
        5.28083,
        5.25934,
        5.29222,
        5.29045,
        5.26838,
        5.2833,
        5.27019,
        5.24257,
        5.24142,
        5.21196,
        5.22919,
        5.25248,
        5.20863,
        5.23807,
        5.23954,
        5.20613,
        5.22125,
        5.24082,
        5.23247,
        5.24818,
        5.2564,
        5.258,
        5.26097,
        5.28345,
        5.26971,
        5.26251,
        5.27744,
        5.28933,
        5.30583,
        5.29124,
        5.27034,
        5.27006,
        5.26152,
        5.27058,
        5.28295,
        5.2577,
        5.24736,
        5.24137,
        5.22413,
        5.23671,
        5.24016,
        5.2417,
        5.25858,
        5.25093,
        5.25049,
        5.26572,
        5.2681,
        5.2615,
        5.26876,
        5.26864,
        5.29053,
        5.28922,
        5.28068,
        5.28744,
        5.27253,
        5.28067,
        5.2659,
        5.26934,
        5.27738,
        5.27993,
        5.26708,
        5.25067,
        5.26272,
        5.23843,
        5.22689,
        5.24947,
        5.23981,
        5.26635,
        5.25858,
        5.25514,
        5.27006,
        5.25091,
        5.27262,
        5.28151,
        5.26404,
        5.27182,
        5.27971,
        5.28721,
        5.32497,
        5.31597,
        5.29103,
        5.26791,
        5.26403,
        5.26377,
        5.25955,
        5.26934,
        5.25717,
        5.2544,
        5.24006,
        5.24905,
        5.24429,
        5.23744,
        5.26936,
        5.23183,
        5.24701,
        5.27407,
        5.25667,
        5.28929,
        5.28851,
        5.26763,
        5.29492,
        5.30003,
        5.28633,
        5.30531,
        5.27217,
        5.31086,
        5.32868,
        5.33169,
        5.36292,
        5.29837,
        5.26245,
        5.26511,
        5.23255,
        5.23451,
        5.24413,
        5.22969,
        5.23946,
        5.23485,
        5.2516,
        5.29168,
        5.31066,
        5.28992,
        5.30665,
        5.28398,
        5.28559,
        5.29705,
        5.29151,
        5.30125,
        5.30256,
        5.27794,
        5.28427,
        5.2916,
        5.28838,
        5.28198,
        5.30726,
        5.30532,
        5.29166,
        5.30973,
        5.28165,
        5.27425,
        5.26486,
        5.27285,
        5.25017,
        5.2749,
        5.28551,
        5.29085,
        5.2897,
        5.27102,
        5.28599,
        5.28663,
        5.28947,
        5.30957,
        5.30108,
        5.31938,
        5.32078,
        5.30708,
        5.3138,
        5.29411,
        5.27998,
        5.29001,
        5.28555,
        5.2683,
        5.25656,
        5.24739,
        5.25416,
        5.23935,
        5.24774,
        5.26251,
        5.26631,
        5.31036,
        5.30705,
        5.26888,
        5.28073,
        5.29105,
        5.30429,
        5.39067,
        5.41693,
        5.37903,
        5.31453,
        5.27762,
        5.31669,
        5.2925,
        5.28251,
        5.29343,
        5.29292,
        5.27605,
        5.28904,
        5.26086,
        5.27808,
        5.28647,
        5.26607,
        5.27289,
        5.24279,
        5.24637,
        5.25669,
        5.24897,
        5.26116,
        5.28004,
        5.33715,
        5.42266,
        5.38991,
        5.37881,
        5.38002,
        5.34196,
        5.34368,
        5.34896,
        5.32429,
        5.34575,
        5.34635,
        5.32018,
        5.33127,
        5.29709,
        5.31187,
        5.29798,
        5.28832,
        5.29103,
        5.26522,
        5.2721,
        5.26658,
        5.23574,
        5.24363,
        5.28369,
        5.24482,
        5.27096,
        5.27021,
        5.26112,
        5.27429,
        5.28855,
        5.30481,
        5.31123,
        5.30168,
        5.33998,
        5.33788,
        5.33111,
        5.34929,
        5.32599,
        5.35283,
        5.40001,
        5.38656,
        5.33406,
        5.30625,
        5.27672,
        5.30723,
        5.3706,
        5.32958,
        5.31676,
        5.26713,
        5.25505,
        5.26092,
        5.26193,
        5.25362,
        5.26956,
        5.25507,
        5.2786,
        5.29751,
        5.28182,
        5.30269,
        5.29994,
        5.28896,
        5.30408,
        5.30868,
        5.31433,
        5.31886,
        5.30472,
        5.30547,
        5.29613,
        5.30463,
        5.33792,
        5.41544,
        5.47928,
        5.3843,
        5.31769,
        5.33351,
        5.479,
        5.49241,
        5.42694,
        5.32978,
        5.31569,
        5.37003,
        5.3928,
        5.40873,
        5.34199,
        5.30514,
        5.31927,
        5.33998,
        5.31886,
        5.32781,
        5.30726,
        5.32245,
        5.37989,
        5.38546,
        5.37204,
        5.32134,
        5.28888,
        5.28515,
        5.27295,
        5.27649,
        5.27335,
        5.26604,
        5.27134,
        5.24396,
        5.26484,
        5.26784,
        5.271,
        5.25883,
        5.27845,
        5.26978,
        5.29374,
        5.30926,
        5.34639,
        5.41358,
        5.47815,
        5.39359,
        5.41104,
        5.53692,
        5.71388,
        5.67306,
        5.47802,
        5.35494,
        5.3036,
        5.29364,
        5.30672,
        5.31959,
        5.27688,
        5.29917,
        5.30697,
        5.28788,
        5.30813,
        5.29942,
        5.32459,
        5.37654,
        5.35648,
        5.31878,
        5.30857,
        5.30163,
        5.31806,
        5.34419,
        5.33299,
        5.37069,
        5.34421,
        5.35132,
        5.36583,
        5.33129,
        5.33092,
        5.30473,
        5.31095,
        5.33096,
        5.29971,
        5.29307,
        5.30305,
        5.29548,
        5.30044,
        5.30715,
        5.30636,
        5.31953,
        5.2904,
        5.26774,
        5.28354,
        5.26796,
        5.28489,
        5.28789,
        5.27737,
        5.2891,
        5.30316,
        5.28688,
        5.3074,
        5.31329,
        5.30989,
        5.31055,
        5.30347,
        5.30447,
        5.31744,
        5.30253,
        5.28949,
        5.30793,
        5.29682,
        5.29482,
        5.28638,
        5.28724,
        5.29266,
        5.2758,
        5.28992,
        5.29303,
        5.27872,
        5.28378,
        5.28537,
        5.27861,
        5.29461,
        5.25771,
        5.27814,
        5.27685,
        5.27791,
        5.31173,
        5.30239,
        5.29777,
        5.30778,
        5.29923,
        5.30755,
        5.30431,
        5.27628,
        5.29291,
        5.27232,
        5.29244,
        5.29642,
        5.26094,
        5.27343,
        5.26535,
        5.25721,
        5.25795,
        5.25094,
        5.26636,
        5.273,
        5.26568,
        5.2937,
        5.31327,
        5.27803,
        5.29864,
        5.2844,
        5.2821,
        5.29153,
        5.28597,
        5.30604,
        5.28103,
        5.30799,
        5.35696,
        5.37992,
        5.39319,
        5.34073,
        5.30051,
        5.28855,
        5.28321,
        5.30029,
        5.29171,
        5.28734,
        5.27532,
        5.26545,
        5.26693,
        5.26543,
        5.26086,
        5.25185,
        5.26351,
        5.2774,
        5.27276,
        5.27969,
        5.27644,
        5.30069,
        5.30863,
        5.30634,
        5.29781,
        5.3336,
        5.3085,
        5.29849,
        5.28985,
        5.30062,
        5.28543,
        5.31217,
        5.30045,
        5.31928,
        5.30592,
        5.28274,
        5.28153,
        5.26705,
        5.2733,
        5.2795,
        5.29042,
        5.28388,
        5.27876,
        5.27319,
        5.29027,
        5.28812,
        5.2866,
        5.28291,
        5.27912,
        5.28386,
        5.29559,
        5.28318,
        5.29127,
        5.28108,
        5.2824,
        5.29858,
        5.27815,
        5.27293,
        5.33149,
        5.40072,
        5.40277,
        5.32884,
        5.27872,
        5.2649,
        5.24511,
        5.25439,
        5.23646,
        5.24991,
        5.26271,
        5.24377,
        5.29311,
        5.35023,
        5.34046,
        5.30898,
        5.25672,
        5.24543,
        5.24774,
        5.23241,
        5.25501,
        5.24519,
        5.24631,
        5.26208,
        5.24681,
        5.24113,
        5.27173,
        5.26929,
        5.27156,
        5.25983,
        5.25892,
        5.26384,
        5.2424,
        5.26353,
        5.23708,
        5.24113,
        5.24876,
        5.24181,
        5.25955,
        5.26899,
        5.28739,
        5.31596,
        5.33833,
        5.37007,
        5.38352,
        5.36597,
        5.36653,
        5.35778,
        5.30931,
        5.31547,
        5.28181,
        5.26378,
        5.28955,
        5.33364,
        5.39851,
        5.45282,
        5.5047,
        5.43703,
        5.33371,
        5.28356,
        5.2737,
        5.2458,
        5.22229,
        5.22384,
        5.2073,
        5.21053,
        5.20335,
        5.21601,
        5.21255,
        5.18461,
        5.20435,
        5.18316,
        5.18476,
        5.20166,
        5.1967,
        5.19582,
        5.18558,
        5.18705,
        5.22162,
        5.20874,
        5.22634,
        5.21893,
        5.21782,
        5.23948,
        5.23601,
        5.24506,
        5.24914,
        5.24516,
        5.25128,
        5.23423,
        5.23804,
        5.20683,
        5.19332,
        5.2041,
        5.19056,
        5.19652,
        5.1845,
        5.18645,
        5.19884,
        5.20042,
        5.23781,
        5.24748,
        5.22302,
        5.18338,
        5.173,
        5.17459,
        5.17527,
        5.15884,
        5.18345,
        5.18138,
        5.19144,
        5.19324,
        5.20204,
        5.21847,
        5.2209,
        5.22268,
        5.21628,
        5.209,
        5.2208,
        5.22234,
        5.21318,
        5.18165,
        5.17119,
        5.20466,
        5.19049,
        5.18446,
        5.17214,
        5.16807,
        5.15575,
        5.15094,
        5.14755,
        5.15435,
        5.14724,
        5.15297,
        5.16866,
        5.16017,
        5.19098,
        5.18998,
        5.21263,
        5.18883,
        5.17875,
        5.19488,
        5.19176,
        5.19429,
        5.21033,
        5.21346,
        5.20245,
        5.1949,
        5.18736,
        5.19072,
        5.18419,
        5.18738,
        5.17719,
        5.17604,
        5.17386,
        5.20672,
        5.24143,
        5.28049,
        5.21156,
        5.18058,
        5.15615,
        5.15361,
        5.18838,
        5.14158,
        5.15123,
        5.13819,
        5.14029,
        5.15666,
        5.16549,
        5.16192,
        5.15153,
        5.15946,
        5.16534,
        5.14806,
        5.18904,
        5.18373,
        5.17272,
        5.17804,
        5.16841,
        5.16689,
        5.16275,
        5.17325,
        5.16677,
        5.16543,
        5.14374,
        5.15277,
        5.14222,
        5.14047,
        5.14857,
        5.12905,
        5.13392,
        5.11014,
        5.11949,
        5.10841,
        5.10515,
        5.12152,
        5.11961,
        5.12328,
        5.12572,
        5.11814,
        5.13452,
        5.13051,
        5.13033,
        5.12121,
        5.12541,
        5.13394,
        5.12712,
        5.14177,
        5.15028,
        5.15122,
        5.15381,
        5.14971,
        5.17455,
        5.15073,
        5.14095,
        5.13784,
        5.13609,
        5.11823,
        5.14665,
        5.15923,
        5.15598,
        5.17103,
        5.12542,
        5.151,
        5.15487,
        5.15444,
        5.14509,
        5.14834,
        5.15466,
        5.1926,
        5.28245,
        5.44466,
        5.40687,
        5.30487,
        5.25987,
        5.15925,
        5.12891,
        5.11087,
        5.13256,
        5.15082,
        5.13102,
        5.11912,
        5.13111,
        5.12678,
        5.14123,
        5.12214,
        5.12428,
        5.12994,
        5.13374,
        5.12036,
        5.10934,
        5.08882,
        5.0763,
        5.06625,
        5.07182,
        5.0599,
        5.08585,
        5.09239,
        5.07994,
        5.08151,
        5.0865,
        5.08392,
        5.08426,
        5.08102,
        5.09063,
        5.09602,
        5.08969,
        5.09642,
        5.11244,
        5.12053,
        5.12753,
        5.10456,
        5.09076,
        5.06848,
        5.07777,
        5.09583,
        5.11428,
        5.1093,
        5.11153,
        5.13389,
        5.18223,
        5.22387,
        5.19857,
        5.13509,
        5.08797,
        5.0648,
        5.05283,
        5.05182,
        5.0785,
        5.11133,
        5.17011,
        5.23365,
        5.21686,
        5.27338,
        5.23408,
        5.14989,
        5.0873,
        5.04695,
        5.05075,
        5.04138,
        5.05044,
        5.06079,
        5.06399,
        5.12246,
        5.31816,
        5.49894,
        5.42497,
        5.19222,
        5.09342,
        5.07106,
        5.05563,
        5.03897,
        5.0355,
        5.04537,
        5.05062,
        5.03594,
        5.0328,
        5.02731,
        5.03029,
        5.04861,
        5.04627,
        5.05512,
        5.04126,
        5.03246,
        5.0169,
        5.01844,
        5.04215,
        5.04155,
        5.03212,
        5.03024,
        5.02357,
        5.04404,
        5.03562,
        5.03261,
        5.02575,
        5.02759,
        5.03089,
        5.02481,
        5.03225,
        5.02533,
        5.01273,
        5.01418,
        5.02012,
        5.02038,
        5.0357,
        5.09038,
        5.16358,
        5.06588,
        5.03341,
        4.99288,
        5.01684,
        5.01311,
        5.06515,
        5.09986,
        5.13555,
        5.47915,
        5.44929,
        5.31989,
        5.23851,
        5.08285,
        5.04692,
        5.0144,
        5.05846,
        5.06131,
        5.06005,
        5.08351,
        5.15776,
        5.19463,
        5.05352,
        5.02436,
        5.00657,
        5.01998,
        5.03366,
        5.10949,
        5.07113,
        5.01573,
        4.99445,
        4.99567,
        4.99538,
        4.99068,
        4.97507,
        4.96735,
        4.97144,
        4.97949,
        4.99763,
        4.98963,
        4.98148,
        4.9944,
        4.97121,
        4.96899,
        4.95783,
        4.99268,
        4.97456,
        5.02211,
        5.07803,
        5.14091,
        5.05936,
        4.98469,
        4.98908,
        4.98858,
        4.97081,
        4.97198,
        4.94256,
        4.94387,
        4.92769,
        4.92944,
        4.95025,
        4.9558,
        4.98077,
        4.9636,
        4.98973,
        4.98611,
        4.97475,
        4.96158,
        4.95698,
        4.96915,
        4.96835,
        4.96704,
        4.96774,
        4.96144,
        4.99121,
        4.96911,
        4.99907,
        4.9562,
        4.96485,
        5.03358,
        5.04289,
        5.04465,
        5.06759,
        5.03099,
        4.98846,
        4.96321,
        4.9458,
        4.93336,
        4.94211,
        4.94013,
        4.96245,
        4.96473,
        4.98575,
        4.95985,
        4.93765,
        4.92849,
        4.92376,
        4.92483,
        4.90915,
        4.90871,
        4.9115,
        4.92276,
        4.93835,
        4.93216,
        4.93088,
        4.95094,
        5.07265,
        5.11973,
        4.99833,
        4.92983,
        4.90569,
        4.90881,
        4.90543,
        4.90509,
        4.89631,
        4.89292,
        4.89762,
        4.89291,
        4.89408,
        4.8829,
        4.91684,
        4.91108,
        4.9132,
        4.92765,
        4.87645,
        4.89627,
        4.86213,
        4.886,
        4.91403,
        4.89885,
        4.89853,
        4.91162,
        4.93294,
        4.91224,
        4.90299,
        4.90535,
        4.9031,
        4.89817,
        4.88037,
        4.88224,
        4.90063,
        4.89249,
        4.89488,
        4.88242,
        4.90147,
        4.91633,
        4.91692,
        4.92113,
        4.85415,
        4.82162,
        4.88848,
        4.981,
        5.21706,
        4.97402,
        4.91196,
        4.94759,
        4.96445,
        4.89248,
        4.85583,
        4.85138,
        4.85749,
        4.90957,
        4.88694,
        4.88456,
        4.93459,
        4.89184,
        4.88419,
        4.87985,
        4.85487,
        4.84587,
        4.88029,
        4.84835,
        4.84976,
        4.8599,
        4.87908,
        4.87292,
        4.89206,
        4.90786,
        4.92074,
        4.92657,
        4.91164,
        4.91021,
        4.8888,
        4.88926,
        4.90689,
        4.88308,
        4.85496,
        4.84336,
        4.84871,
        4.86156,
        4.86892,
        4.84276,
        4.82707,
        4.85118,
        4.8651,
        4.86979,
        4.84375,
        4.87204,
        4.89569,
        4.85163,
        4.86005,
        4.83491,
        4.85718,
        4.8266,
        4.81753,
        4.82933,
        4.83606,
        4.87766,
        4.87127,
        4.84892,
        4.87148,
        4.86742,
        4.89431,
        4.88644,
        4.8673,
        4.86575,
        4.85928,
        4.9093,
        5.00186,
        5.02747,
        4.94175,
        4.86145,
        4.85779,
        4.83338,
        4.86362,
        5.03988,
        5.04285,
        4.88358,
        4.84371,
        4.92714,
        5.17196,
        5.11992,
        4.94055,
        4.86161,
        4.92982,
        4.92343,
        4.8383,
        4.80008,
        4.81074,
        4.79852,
        4.78449,
        4.78992,
        4.79517,
        4.78089,
        4.78685,
        4.81243,
        4.89566,
        4.86758,
        4.86497,
        4.83036,
        4.78171,
        4.78272,
        4.74468,
        4.78719,
        4.77898,
        4.77404,
        4.78277,
        4.75337,
        4.76005,
        4.77439,
        4.76819,
        4.76378,
        4.75668,
        4.74858,
        4.77561,
        4.81834,
        4.89584,
        4.94864,
        5.01592,
        5.32047,
        5.41143,
        4.96019,
        4.82984,
        4.82741,
        4.84226,
        4.84274,
        4.80061,
        4.93119,
        5.17594,
        4.90016,
        4.76654,
        4.83426,
        5.03122,
        4.91284,
        4.73911,
        4.73381,
        4.74413,
        4.75796,
        4.75045,
        4.75804,
        4.73261,
        4.75725,
        4.78696,
        4.80025,
        4.80748,
        4.76024,
        4.8004,
        5.06436,
        5.01154,
        4.80898,
        4.99029,
        5.21786,
        4.90515,
        4.75063,
        4.73856,
        4.72909,
        4.71407,
        4.71168,
        4.70512,
        4.71493,
        4.74292,
        4.79789,
        4.81042,
        4.74138,
        4.71601,
        4.70834,
        4.69983,
        4.72771,
        4.77658,
        4.75788,
        4.7407,
        4.70449,
        4.70558,
        4.7206,
        4.78459,
        5.04622,
        5.14791,
        5.52969,
        5.32624,
        4.95166,
        4.82757,
        4.77707,
        4.72815,
        4.72243,
        4.78936,
        4.83211,
        4.78716,
        4.80058,
        4.76769,
        4.71082,
        4.73797,
        4.80454,
        4.75665,
        4.7175,
        4.73948,
        4.90734,
        4.83988,
        4.74874,
        4.74912,
        4.72627,
        4.71675,
        4.72999,
        4.76471,
        4.80631,
        4.81267,
        4.84874,
        4.94226,
        5.13551,
        5.23723,
        4.9511,
        4.77378,
        4.755,
        4.72647,
        4.71189,
        4.7324,
        4.70904,
        4.72067,
        4.74368,
        4.74475,
        4.80265,
        4.81329,
        4.74632,
        4.76318,
        4.87092,
        4.86423,
        4.76331,
        4.71563,
        4.69748,
        4.72328,
        4.74221,
        4.72935,
        4.79022,
        4.97318,
        4.87057,
        4.75395,
        4.76043,
        4.73692,
        4.7402,
        4.70608,
        4.71834,
        4.7336,
        4.72107,
        4.78693,
        4.82648,
        4.73562,
        4.72417,
        4.67481,
        4.68287,
        4.70505,
        4.69065,
        4.72012,
        4.70301,
        4.67582,
        4.67878,
        4.67908,
        4.68958,
        4.71703,
        4.6921,
        4.69598,
        4.72264,
        4.73395,
        4.92447,
        4.88717,
        4.75046,
        4.70814,
        4.68731,
        4.68065,
        4.70722,
        4.85488,
        4.86937,
        4.75531,
        4.73711,
        4.83455,
        4.98715,
        4.83242,
        4.75294,
        4.75442,
        4.74002,
        4.75174,
        4.74223,
        4.78137,
        4.79862,
        4.77666,
        4.73031,
        4.68527,
        4.76362,
        4.80594,
        4.73047,
        4.69591,
        4.68931,
        4.77436,
        4.80253,
        4.77028,
        4.83938,
        4.80564,
        4.83339,
        4.81043,
        4.75741,
        4.72562,
        4.75489,
        4.76028,
        4.74132,
        4.82208,
        4.75657,
        4.72286,
        4.79963,
        4.84358,
        4.77536,
        4.728,
        4.75166,
        4.80092,
        4.73094,
        4.684,
        4.6917,
        4.67498,
        4.71607,
        4.747,
        4.9455,
        5.00318,
        4.8319,
        4.75497,
        4.70801,
        4.70331,
        4.74527,
        4.75234,
        4.71039,
        4.76115,
        4.89149,
        4.78203,
        4.70988,
        4.69706,
        4.69664,
        4.70837,
        4.71681,
        4.77301,
        4.73898,
        4.74074,
        4.81555,
        4.86724,
        4.86881,
        4.78662,
        4.72071,
        4.7041,
        4.70562,
        4.71073,
        4.68384,
        4.71466,
        4.72964,
        4.71744,
        4.70415,
        4.69006,
        4.729,
        4.71888,
        4.73208,
        4.81548,
        4.86561,
        4.7554,
        4.7476,
        4.79765,
        4.75217,
        4.72693,
        4.74832,
        4.73037,
        4.82268,
        4.95635,
        4.77764,
        4.70344,
        4.69922,
        4.68945,
        4.69282,
        4.71556,
        4.72368,
        4.71613,
        4.72475,
        4.71335,
        4.70258,
        4.73799,
        4.81867,
        4.87626,
        4.75245,
        4.69622,
        4.76795,
        5.16292,
        5.50899,
        5.00298,
        4.78597,
        4.96845,
        4.92066,
        4.7322,
        4.71633,
        4.70177,
        4.70714,
        4.72181,
        4.76364,
        4.76823,
        4.72969,
        4.73091,
        4.77543,
        4.85366,
        4.79782,
        4.7688,
        4.79524,
        4.78735,
        4.7416,
        4.75292,
        4.78324,
        4.80928,
        4.76361,
        4.73781,
        4.76569,
        4.74086,
        4.72313,
        4.71607,
        4.7021,
        4.69865,
        4.73125,
        4.77497,
        4.86637,
        4.91807,
        4.84578,
        4.74576,
        4.79536,
        5.0768,
        5.07024,
        4.7944,
        4.75183,
        4.74931,
        4.74502,
        4.71996,
        4.74274,
        4.76046,
        4.77383,
        4.8625,
        4.78097,
        4.7187,
        4.73132,
        4.72787,
        4.7541,
        4.81163,
        4.81434,
        4.81372,
        4.87935,
        4.8846,
        4.79148,
        4.77256,
        4.76899,
        4.73707,
        4.76172,
        4.74954,
        4.73524,
        4.77476,
        4.77293,
        4.76873,
        4.75836,
        4.74208,
        4.7468,
        4.72755,
        4.72101,
        4.79785,
        4.88723,
        5.0714,
        5.15929,
        4.90205,
        4.84901,
        4.81506,
        4.76903,
        4.75983,
        4.81803,
        4.89879,
        4.92646,
        5.033,
        4.86961,
        4.80591,
        4.86431,
        4.78587,
        4.80728,
        4.81155,
        4.73947,
        4.74445,
        4.80973,
        4.85017,
        4.80169,
        4.8087,
        4.84351,
        4.85305,
        4.82498,
        5.2414,
        5.66688,
        5.0136,
        4.7697,
        4.7267,
        4.76526,
        4.76367,
        4.80786,
        5.0353,
        4.99219,
        4.74004,
        4.7728,
        4.83183,
        4.79713,
        4.86362,
        4.93173,
        4.95332,
        4.8435,
        4.83737,
        4.83174,
        4.75289,
        4.7334,
        4.73738,
        4.72452,
        4.7333,
        4.75097,
        4.75206,
        4.77205,
        4.79132,
        4.81168,
        4.76247,
        4.80552,
        4.79048,
        4.72919,
        4.73384,
        4.83142,
        4.83316,
        4.80907,
        4.76387,
        4.73768,
        4.75719,
        4.78196,
        4.77523,
        4.71884,
        4.72199,
        4.71051,
        4.71928,
        4.74016,
        4.77939,
        4.72223,
        4.81195,
        4.92638,
        4.81642,
        5.21623,
        5.92197,
        5.24879,
        4.88045,
        4.9085,
        5.22154,
        5.13982,
        4.8272,
        4.81054,
        4.88903,
        4.94292,
        5.02722,
        5.03676,
        4.93291,
        4.78515,
        4.77184,
        4.75944,
        4.85918,
        5.04392,
        5.04307,
        5.04695,
        5.23035,
        5.27634,
        4.98591,
        4.86123,
        4.84078,
        4.8874,
        4.86064,
        4.88535,
        4.84788,
        4.84244,
        4.93772,
        5.23165,
        5.21241,
        4.92923,
        4.80966,
        4.78034,
        4.76954,
        4.79152,
        4.77248,
        4.78412,
        4.826,
        4.85045,
        4.85442,
        4.87192,
        4.89947,
        4.93352,
        4.98366,
        4.9405,
        4.87862,
        4.96241,
        5.10379,
        5.17942,
        5.07604,
        4.94285,
        4.8793,
        4.83767,
        4.79407,
        4.82941,
        4.82954,
        4.851,
        4.8467,
        4.83157,
        4.82841,
        4.87595,
        4.87169,
        4.8607,
        4.84812,
        4.88769,
        4.90622,
        4.87789,
        4.89492,
        4.98756,
        5.20359,
        5.18431,
        4.97075,
        4.89175,
        4.85765,
        4.86124,
        4.87825,
        4.90645,
        4.92233,
        4.9196,
        4.90249,
        4.91098,
        4.89774,
        4.92202,
        4.9152,
        4.91745,
        4.90632,
        4.96004,
        5.04621,
        5.08141,
        5.00949,
        4.97064,
        4.96669,
        4.95635,
        4.9586,
        4.97669,
        4.98312,
        4.99076,
        5.00203,
        5.05516,
        5.06963,
        5.05325,
        5.09116,
        5.35799,
        5.40642,
        5.1505,
        5.09028,
        5.11527,
        5.14941,
        5.15749,
        5.17914,
        5.21131,
        5.29435,
        5.31526,
        5.21133,
        5.05653,
        4.96612,
        4.92779,
        4.96105,
        4.99363,
        5.04248,
        5.02618,
        4.90405,
        4.86672,
        4.86897,
        4.85794,
        4.86488,
        4.8732,
        4.88804,
        4.89289,
        4.88615,
        4.9335,
        5.03959,
        5.10541,
        5.10258,
        5.07838,
        5.00535,
        5.03819,
        5.041,
        4.95773,
        4.90934,
        4.9125,
        4.92361,
        4.91503,
        4.8963,
        4.89589,
        4.89478,
        4.89396,
        4.89328,
        4.89663,
        4.87884,
        4.91708,
        4.94098,
        4.94383,
        4.96146,
        4.98227,
        4.98688,
        4.98202,
        5.03087,
        5.10295,
        5.13118,
        5.03254,
        4.96938,
        4.95839,
        5.00293,
        5.02664,
        5.00333,
        4.97474,
        4.99474,
        5.07492,
        5.13722,
        5.13631,
        5.18373,
        5.23685,
        5.13848,
        5.05944,
        5.03416,
        5.07656,
        5.09048,
        5.10949,
        5.09456,
        5.07573,
        5.09466,
        5.14458,
        5.12255,
        5.10878,
        5.05972,
        5.08602,
        5.03993,
        5.0076,
        4.99933,
        5.03517,
        4.99919,
        5.15463,
        5.39673,
        5.22148,
        5.06166,
        5.08321,
        5.0746,
        5.08292,
        5.12225,
        5.12355,
        5.07047,
        5.13826,
        5.12878,
        5.06914,
        5.03659,
        5.05211,
        5.03105,
        5.1089,
        5.21932,
        5.2274,
        5.16258,
        5.08999,
        5.07576,
        5.10971,
        5.10109,
        5.11139,
        5.11447,
        5.09728,
        5.13275,
        5.12437,
        5.19918,
        5.28369,
        5.41548,
        5.38212,
        5.35522,
        5.2282,
        5.11175,
        5.10445,
        5.1347,
        5.40736,
        5.66802,
        5.44641,
        5.34377,
        5.28219,
        5.18641,
        5.26327,
        5.33056,
        5.23744,
        5.18079,
        5.20028,
        5.19619,
        5.21337,
        5.22046,
        5.26688,
        5.21981,
        5.05826,
        4.96745,
        4.98148,
        5.00837,
        5.01716,
        5.03646,
        5.02238,
        5.02313,
        5.05496,
        5.05515,
        5.02144,
        5.01684,
        4.99576,
        5.0376,
        5.0449,
        5.03562,
        5.07511,
        5.08617,
        4.99876,
        4.98468,
        4.97988,
        4.98569,
        4.94475,
        5.00004,
        4.96345,
        5.01402,
        4.99627,
        5.09532,
        5.24782,
        5.26873,
        5.09404,
        5.09151,
        5.06523,
        5.07655,
        5.11364,
        5.20494,
        5.18894,
        5.08203,
        5.06523,
        5.03217,
        4.99799,
        5.02572,
        5.05719,
        5.02289,
        5.02417,
        5.08317,
        5.12122,
        5.11089,
        5.184,
        5.23276,
        5.15948,
        5.43553,
        5.83744,
        5.45744,
        5.17741,
        5.13186,
        5.08302,
        5.03325,
        5.02609,
        5.04161,
        5.17003,
        5.2095,
        5.06763,
        5.07595,
        5.50945,
        6.25621,
        5.92954,
        5.20665,
        5.09595,
        5.08828,
        5.05457,
        4.99678,
        4.98351,
        5.00057,
        5.03039,
        5.10887,
        5.31029,
        5.226,
        5.07957,
        5.01847,
        5.0806,
        5.18898,
        5.15755,
        5.02374,
        4.98543,
        4.9809,
        4.98134,
        5.01477,
        5.00701,
        5.00977,
        5.02018,
        5.049,
        4.9972,
        5.00877,
        5.06875,
        5.09166,
        5.0088,
        5.02978,
        5.0053,
        5.06342,
        5.17088,
        5.15883,
        5.08724,
        5.08224,
        5.12951,
        5.14424,
        5.11353,
        5.14363,
        5.19266,
        5.14782,
        5.1083,
        5.20963,
        5.79223,
        5.80752,
        5.28803,
        5.24913,
        5.31218,
        5.22107,
        5.24451,
        5.5119,
        5.55795,
        5.28299,
        5.13714,
        5.06178,
        5.09857,
        5.11999,
        5.19637,
        5.14466,
        5.06012,
        5.02936,
        5.04915,
        5.07806,
        5.06808,
        5.09107,
        5.19264,
        5.19654,
        5.08842,
        5.06204,
        5.03784,
        5.09495,
        5.28114,
        5.29069,
        5.20726,
        5.43904,
        5.69902,
        5.41191,
        5.16439,
        5.14432,
        5.18284,
        5.18402,
        5.11048,
        5.31522,
        5.83261,
        5.59595,
        5.14055,
        5.06714,
        5.03645,
        5.04083,
        5.07625,
        5.07322,
        5.08479,
        5.1474,
        5.20506,
        5.14875,
        5.13074,
        5.07784,
        5.1073,
        5.21421,
        5.34056,
        5.24708,
        5.14149,
        5.13436,
        5.13298,
        5.12977,
        5.15829,
        5.31447,
        5.67662,
        5.76254,
        5.38721,
        5.23712,
        5.22232,
        5.1823,
        5.11061,
        5.10774,
        5.13993,
        5.39399,
        6.28924,
        6.18019,
        5.41249,
        5.24532,
        5.14309,
        5.19982,
        5.37562,
        5.35115,
        5.2053,
        5.32281,
        5.71625,
        5.50795,
        5.2225,
        5.21857,
        5.19706,
        5.19118,
        5.2423,
        5.20364,
        5.13761,
        5.13577,
        5.12266,
        5.10228,
        5.11508,
        5.06567,
        5.08577,
        5.11374,
        5.1296,
        5.1197,
        5.16383,
        5.34501,
        5.46286,
        5.34635,
        5.26993,
        5.18706,
        5.15541,
        5.16891,
        5.20304,
        5.23878,
        5.16438,
        5.14367,
        5.17707,
        5.14822,
        5.14627,
        5.22902,
        5.32163,
        5.20455,
        5.12599,
        5.09979,
        5.15655,
        5.20553,
        5.2092,
        5.1895,
        5.21029,
        5.26564,
        5.41707,
        5.46772,
        5.34187,
        5.35572,
        5.34071,
        5.29786,
        5.3155,
        5.29092,
        5.21546,
        5.18958,
        5.16009,
        5.1025,
        5.16009,
        5.14028,
        5.15731,
        5.26006,
        5.46891,
        5.53781,
        5.30377,
        5.24497,
        5.18296,
        5.16822,
        5.15415,
        5.15171,
        5.17293,
        5.23613,
        5.23174,
        5.2205,
        5.25717,
        5.21599,
        5.26837,
        5.2748,
        5.2317,
        5.30691,
        5.41224,
        5.25906,
        5.13359,
        5.14144,
        5.14149,
        5.14203,
        5.16265,
        5.18938,
        5.15694,
        5.1637,
        5.24746,
        5.23744,
        5.15315,
        5.19859,
        5.16309,
        5.13553,
        5.15539,
        5.19443,
        5.18938,
        5.29384,
        5.38932,
        5.27903,
        5.22393,
        5.3799,
        5.45999,
        5.33525,
        5.28941,
        5.34031,
        5.36519,
        5.23331,
        5.17947,
        5.15414,
        5.15534,
        5.20477,
        5.20624,
        5.23677,
        5.31706,
        5.50641,
        5.51151,
        5.35488,
        5.29802,
        5.31912,
        5.28096,
        5.22411,
        5.22185,
        5.27724,
        5.33672,
        5.25625,
        5.28973,
        5.30109,
        5.28643,
        5.29144,
        5.37064,
        5.4429,
        5.47052,
        5.40517,
        5.27876,
        5.21212,
        5.22031,
        5.27106,
        5.41841,
        5.62397,
        5.5306,
        5.34138,
        5.51589,
        6.22576,
        6.1448,
        5.44378,
        5.27566,
        5.26486,
        5.26287,
        5.30751,
        5.36464,
        5.36374,
        5.41799,
        5.61838,
        6.08537,
        6.07161,
        5.56896,
        5.45092,
        5.4169,
        5.39424,
        5.38808,
        5.3738,
        5.42368,
        5.4453,
        5.51107,
        5.69529,
        5.68886,
        5.64362,
        5.64258,
        5.63921,
        5.70861,
        5.76642,
        5.84145,
        5.80115,
        5.79705,
        5.95535,
        6.02655,
        6.00001,
        5.85879,
        5.69278,
        5.40561,
        5.29803,
        5.43683,
        5.5775,
        5.3871,
        5.28442,
        5.34128,
        5.36725,
        5.35729,
        5.29989,
        5.24546,
        5.25678,
        5.326,
        5.35866,
        5.28288,
        5.30684,
        5.31243,
        5.28354,
        5.26275,
        5.32609,
        5.3929,
        5.37612,
        5.43158,
        5.46275,
        5.49716,
        5.47973,
        5.48418,
        5.60069,
        5.61752,
        5.4697,
        5.34071,
        5.30187,
        5.3092,
        5.32284,
        5.29038,
        5.31292,
        5.3295,
        5.3184,
        5.39844,
        5.56111,
        5.46224,
        5.4026,
        5.44427,
        5.48243,
        5.41513,
        5.37201,
        5.3896,
        5.31077,
        5.30458,
        5.36659,
        5.38087,
        5.33596,
        5.33677,
        5.36276,
        5.3466,
        5.4605,
        5.51633,
        5.38638,
        5.38268,
        5.38418,
        5.39188,
        5.37505,
        5.47679,
        5.47272,
        5.36621,
        5.39562,
        5.44398,
        5.41684,
        5.35367,
        5.44468,
        5.64154,
        5.84182,
        5.80575,
        5.9188,
        5.64242,
        5.59648,
        5.9663,
        5.9786,
        5.84673,
        5.63121,
        5.46375,
        5.3864,
        5.37185,
        5.46029,
        5.48554,
        5.38745,
        5.40713,
        5.38438,
        5.34133,
        5.34598,
        5.39452,
        5.37217,
        5.36393,
        5.41204,
        5.42546,
        5.41995,
        5.42479,
        5.47563,
        5.49353,
        5.42166,
        5.42857,
        5.43599,
        5.36974,
        5.41781,
        5.48835,
        5.44417,
        5.50236,
        5.57603,
        5.54769,
        5.45573,
        5.43882,
        5.48859,
        5.57398,
        5.57066,
        5.49686,
        5.43388,
        5.38662,
        5.43908,
        5.42561,
        5.40592,
        5.4807,
        5.56647,
        5.5847,
        5.61581,
        5.62714,
        5.50048,
        5.47177,
        5.52967,
        5.48559,
        5.45053,
        5.50999,
        5.62945,
        5.6042,
        5.50257,
        5.51596,
        5.52684,
        5.67881,
        5.97412,
        5.79931,
        5.54109,
        5.50409,
        5.61842,
        5.5968,
        5.66619,
        6.17248,
        6.14284,
        5.62246,
        5.45933,
        5.49693,
        5.49991,
        5.47872,
        5.5166,
        5.54945,
        5.48115,
        5.46409,
        5.59796,
        5.66545,
        5.59563,
        5.55255,
        5.5497,
        5.53295,
        5.50533,
        5.56001,
        5.53844,
        5.49032,
        5.5209,
        5.57962,
        5.54888,
        5.53947,
        5.63754,
        5.69233,
        5.6737,
        5.90882,
        5.9001,
        5.60772,
        5.52927,
        5.60061,
        5.62937,
        5.62223,
        5.59287,
        5.5757,
        5.546,
        5.55081,
        5.63308,
        5.67227,
        5.61282,
        5.64621,
        5.85483,
        5.79709,
        5.59757,
        5.57976,
        5.54719,
        5.51827,
        5.54604,
        5.60928,
        5.57752,
        5.67413,
        5.73958,
        5.72436,
        5.67265,
        5.61655,
        5.65172,
        5.61749,
        5.54986,
        5.5834,
        5.61598,
        5.54633,
        5.55152,
        5.59963,
        5.57001,
        5.55892,
        5.62411,
        5.72125,
        5.98643,
        6.18714,
        5.94122,
        5.72712,
        5.58861,
        5.59656,
        5.61143,
        5.55258,
        5.57141,
        5.62134,
        5.61817,
        5.55681,
        5.61924,
        5.84902,
        6.02262,
        6.1051,
        6.15908,
        6.11524,
        5.71192,
        5.65314,
        5.96594,
        6.02213,
        6.02417,
        5.92441,
        5.80948,
        5.70823,
        5.67086,
        5.67373,
        5.66951,
        5.7154,
        5.69134,
        5.66022,
        5.65151,
        5.6827,
        5.69148,
        5.67746,
        5.65157,
        5.64868,
        5.6777,
        5.70324,
        5.75254,
        5.95005,
        6.44841,
        6.71741,
        6.24198,
        5.87834,
        5.71494,
        5.65398,
        5.67911,
        5.74112,
        5.82812,
        5.79175,
        5.79861,
        5.72923,
        5.69998,
        5.70186,
        5.7076,
        5.71283,
        5.74324,
        5.80156,
        5.86274,
        5.89345,
        5.83861,
        5.72941,
        5.70081,
        5.68972,
        5.73109,
        5.73249,
        5.74361,
        5.71899,
        5.75191,
        5.76062,
        5.76696,
        5.80075,
        5.7398,
        5.74738,
        5.7405,
        5.74142,
        5.74392,
        5.70384,
        5.77462,
        5.89031,
        6.04741,
        5.97575,
        5.86583,
        5.85256,
        6.06072,
        6.77987,
        6.95713,
        6.43566,
        6.06195,
        5.9282,
        5.85278,
        5.83072,
        5.88966,
        6.03238,
        6.07483,
        5.92133,
        5.80877,
        5.78892,
        5.78899,
        5.80184,
        5.85606,
        5.93122,
        5.89284,
        5.85558,
        5.80847,
        5.81827,
        5.837,
        6.00123,
        6.3512,
        6.43666,
        6.1998,
        6.21097,
        6.31578,
        6.13129,
        5.9595,
        5.89972,
        5.8839,
        5.86733,
        5.85243,
        5.85793,
        5.83841,
        5.86467,
        5.84138,
        5.88862,
        5.99682,
        5.98388,
        5.93327,
        5.8822,
        5.87031,
        5.86967,
        5.91193,
        5.91675,
        5.89536,
        5.92063,
        5.92799,
        5.9754,
        5.9339,
        5.97434,
        5.94331,
        5.88739,
        5.88813,
        5.85539,
        5.88036,
        5.88486,
        5.94986,
        5.94303,
        5.93537,
        5.93473,
        5.8785,
        5.91226,
        5.91772,
        5.95996,
        5.92783,
        5.91468,
        5.91877,
        5.93112,
        5.93151,
        5.90776,
        5.93925,
        5.93807,
        5.97575,
        5.97629,
        5.95857,
        5.9576,
        5.95653,
        5.96603,
        5.94925,
        5.93494,
        5.93082,
        5.94779,
        5.96314,
        5.95629,
        5.96586,
        5.96257,
        6.00985,
        6.10516,
        6.38456,
        6.52286,
        6.24387,
        6.04712,
        5.99784,
        6.03578,
        6.13492,
        6.17302,
        6.12599,
        6.09539,
        6.29699,
        6.87341,
        6.9131,
        6.53942,
        6.18695,
        6.22047,
        6.34288,
        6.31364,
        6.31401,
        6.34745,
        6.21109,
        6.14084,
        6.2308,
        6.22415,
        6.1133,
        6.04899,
        6.02857,
        6.03455,
        6.02897,
        6.06631,
        6.03056,
        6.11674,
        6.16341,
        6.2243,
        6.26131,
        6.23772,
        6.18774,
        6.12433,
        6.09531,
        6.06236,
        6.04932,
        6.04073,
        6.0486,
        6.07905,
        6.0918,
        6.10485,
        6.07657,
        6.091,
        6.09514,
        6.0864,
        6.06817,
        6.05881,
        6.07678,
        6.07479,
        6.12917,
        6.14581,
        6.15016,
        6.2261,
        6.56764,
        7.12785,
        7.29742,
        6.78078,
        6.36986,
        6.28584,
        6.17161,
        6.11891,
        6.10991,
        6.11828,
        6.14219,
        6.18675,
        6.21499,
        6.17389,
        6.1626,
        6.14891,
        6.14945,
        6.12999,
        6.14141,
        6.18012,
        6.1808,
        6.1514,
        6.13106,
        6.13264,
        6.13011,
        6.13953,
        6.1644,
        6.18396,
        6.21474,
        6.24519,
        6.23653,
        6.2232,
        6.21747,
        6.22069,
        6.22572,
        6.22397,
        6.2281,
        6.25206,
        6.26182,
        6.29124,
        6.31221,
        6.29399,
        6.29405,
        6.29822,
        6.42875,
        6.54664,
        6.4118,
        6.34731,
        6.52969,
        6.77333,
        6.61723,
        6.38298,
        6.28169,
        6.22127,
        6.19584,
        6.20662,
        6.22012,
        6.22056,
        6.28817,
        6.31573,
        6.3196,
        6.25567,
        6.25311,
        6.35192,
        6.68344,
        6.85735,
        6.54168,
        6.34447,
        6.26251,
        6.25142,
        6.23157,
        6.22401,
        6.21173,
        6.20315,
        6.21459,
        6.21417,
        6.23719,
        6.23252,
        6.28421,
        6.23956,
        6.23536,
        6.2522,
        6.30732,
        6.31868,
        6.40455,
        6.59365,
        6.61127,
        6.4231,
        6.27588,
        6.2881,
        6.26458,
        6.25339,
        6.2351,
        6.2311,
        6.23764,
        6.24817,
        6.25657,
        6.22656,
        6.23892,
        6.23089,
        6.24406,
        6.25611,
        6.28961,
        6.31376,
        6.30349,
        6.27913,
        6.28088,
        6.27298,
        6.27512,
        6.31324,
        6.32664,
        6.31054,
        6.29672,
        6.29422,
        6.32438,
        6.36608,
        6.57347,
        6.71256,
        6.58529,
        6.40949,
        6.34835,
        6.33025,
        6.31634,
        6.29737,
        6.29594,
        6.28275,
        6.31101,
        6.31798,
        6.34397,
        6.34609,
        6.36153,
        6.35226,
        6.4042,
        6.5229,
        6.5763,
        6.47043,
        6.35278,
        6.3397,
        6.30364,
        6.32744,
        6.35091,
        6.35338,
        6.32139,
        6.31824,
        6.37782,
        6.53025,
        6.6768,
        6.61253,
        6.64665,
        6.73321,
        6.61802,
        6.4205,
        6.36912,
        6.36097,
        6.36099,
        6.37482,
        6.38755,
        6.48813,
        6.67077,
        6.67436,
        6.43896,
        6.37291,
        6.33701,
        6.35552,
        6.36044,
        6.3668,
        6.35394,
        6.36146,
        6.37156,
        6.37689,
        6.37184,
        6.36666,
        6.43544,
        6.68728,
        6.9195,
        6.64017,
        6.46817,
        6.44804,
        6.43449,
        6.42129,
        6.40635,
        6.38248,
        6.37755,
        6.37089,
        6.3657,
        6.38983,
        6.39579,
        6.3909,
        6.39587,
        6.39133,
        6.39696,
        6.44376,
        6.56767,
        6.64502,
        6.52441,
        6.41974,
        6.39273,
        6.41821,
        6.52697,
        6.74747,
        6.74836,
        6.56416,
        6.46738,
        6.49541,
        6.5463,
        6.52484,
        6.47808,
        6.42934,
        6.41907,
        6.42381,
        6.42943,
        6.41078,
        6.42962,
        6.47396,
        6.5958,
        6.7531,
        6.80773,
        6.84802,
        6.8892,
        6.6951,
        6.71626,
        7.33733,
        7.65408,
        7.12962,
        6.59328,
        6.44571,
        6.43037,
        6.42693,
        6.44276,
        6.4666,
        6.46972,
        6.44408,
        6.44689,
        6.43584,
        6.44412,
        6.44542,
        6.45978,
        6.45419,
        6.48103,
        6.4824,
        6.5005,
        6.50072,
        6.47544,
        6.46056,
        6.4857,
        6.65274,
        6.93744,
        6.96524,
        6.60297,
        6.48607,
        6.47005,
        6.47094,
        6.47495,
        6.5082,
        6.48201,
        6.46116,
        6.47216,
        6.47399,
        6.47312,
        6.47355,
        6.51756,
        6.53857,
        6.57019,
        6.55328,
        6.50381,
        6.47968,
        6.49281,
        6.46269,
        6.44918,
        6.46483,
        6.49707,
        6.48845,
        6.47986,
        6.48003,
        6.47535,
        6.49736,
        6.496,
        6.52653,
        6.66295,
        6.92176,
        6.96849,
        6.69678,
        6.54032,
        6.5203,
        6.51632,
        6.47604,
        6.49784,
        6.55456,
        6.56666,
        6.56831,
        6.62938,
        6.77128,
        6.86778,
        6.86137,
        6.77735,
        6.63765,
        6.55453,
        6.5242,
        6.50189,
        6.5097,
        6.53494,
        6.52341,
        6.53987,
        6.65918,
        6.76292,
        6.74445,
        6.66731,
        6.63389,
        6.624,
        6.62085,
        6.67033,
        6.96444,
        7.56052,
        7.53425,
        7.01291,
        7.02475,
        7.54601,
        7.51998,
        6.88674,
        6.61005,
        6.59327,
        6.58478,
        6.56782,
        6.54952,
        6.55898,
        6.60296,
        6.57303,
        6.63813,
        6.69004,
        6.70213,
        6.62024,
        6.6201,
        6.63827,
        6.61406,
        6.57915,
        6.59707,
        6.58981,
        6.56743,
        6.57221,
        6.54272,
        6.54456,
        6.56814,
        6.57352,
        6.5552,
        6.58243,
        6.60184,
        6.59755,
        6.61073,
        6.68759,
        6.90462,
        7.10854,
        6.92478,
        6.71649,
        6.64407,
        6.62314,
        6.61275,
        6.64258,
        6.72006,
        6.75933,
        6.7153,
        6.64791,
        6.63076,
        6.59483,
        6.60496,
        6.58381,
        6.5967,
        6.59378,
        6.64613,
        6.6306,
        6.67636,
        6.78742,
        6.73115,
        6.62398,
        6.63139,
        6.64573,
        6.70463,
        6.66699,
        6.61598,
        6.63493,
        6.62675,
        6.61591,
        6.60261,
        6.61012,
        6.62475,
        6.62758,
        6.62662,
        6.63824,
        6.65367,
        6.63996,
        6.69465,
        6.76274,
        6.7732,
        6.74466,
        6.72597,
        6.71947,
        6.74676,
        7.13895,
        7.81306,
        7.66751,
        6.95427,
        6.73462,
        6.74001,
        6.856,
        7.10132,
        7.03003,
        6.8044,
        6.71505,
        6.6661,
        6.70995,
        6.71178,
        6.73002,
        6.75647,
        6.88402,
        6.96639,
        6.84397,
        6.72003,
        6.70447,
        6.70044,
        6.68844,
        6.6858,
        6.69854,
        6.70149,
        6.71348,
        6.71663,
        6.72758,
        6.7217,
        6.70013,
        6.71797,
        6.7028,
        6.7224,
        6.72348,
        6.758,
        6.74475,
        6.79932,
        6.80487,
        6.803,
        6.7486,
        6.72316,
        6.79514,
        7.08282,
        7.2882,
        7.08658,
        6.94155,
        7.18047,
        7.58427,
        7.58272,
        7.76588,
        7.96087,
        7.53676,
        7.11733,
        7.09635,
        6.99772,
        6.83768,
        6.75937,
        6.73318,
        6.74136,
        6.75035,
        6.76856,
        6.79386,
        6.81139,
        6.8008,
        6.77565,
        6.75332,
        6.76334,
        6.77084,
        6.79099,
        6.79056,
        6.77464,
        6.76173,
        6.76797,
        6.78865,
        6.79439,
        6.75061,
        6.79029,
        6.79705,
        6.794,
        6.77015,
        6.77793,
        6.81495,
        6.89043,
        6.92439,
        6.8817,
        6.8462,
        6.82336,
        6.85159,
        7.06018,
        7.21849,
        7.07308,
        6.89507,
        6.83431,
        6.80251,
        6.80669,
        6.84027,
        6.85917,
        6.84857,
        6.82411,
        6.85391,
        6.90542,
        7.33892,
        8.3429,
        8.16368,
        7.20805,
        6.87763,
        6.81291,
        6.9185,
        7.17071,
        7.327,
        7.0981,
        6.90994,
        6.87504,
        6.9079,
        6.95503,
        6.90739,
        6.88052,
        6.84956,
        6.83195,
        6.89848,
        7.09722,
        7.41678,
        7.33967,
        6.99861,
        6.8422,
        6.83773,
        6.83275,
        6.82939,
        6.81339,
        6.8361,
        6.86575,
        6.84767,
        6.8027,
        6.83013,
        6.8717,
        6.87201,
        6.87115,
        6.901,
        6.9303,
        6.97014,
        7.06576,
        7.16573,
        7.04449,
        6.92453,
        6.86354,
        6.87193,
        6.90773,
        6.91736,
        6.89262,
        6.89476,
        6.88469,
        6.89875,
        6.89617,
        6.9103,
        6.89267,
        6.90321,
        6.89457,
        6.90651,
        6.94095,
        7.06363,
        7.51612,
        8.02543,
        7.63036,
        7.08074,
        6.94476,
        6.94483,
        6.89352,
        6.89258,
        6.91064,
        6.94686,
        6.9491,
        6.94091,
        6.9927,
        7.008,
        7.01307,
        7.00799,
        6.97326,
        6.95132,
        6.92988,
        6.89715,
        6.90789,
        6.91347,
        6.93155,
        6.95267,
        7.04369,
        7.43135,
        7.80603,
        7.48323,
        7.08676,
        6.99843,
        6.99217,
        6.98335,
        6.95985,
        6.9461,
        6.94805,
        6.97507,
        7.03716,
        7.09313,
        7.11325,
        7.03553,
        7.02551,
        6.99591,
        6.98779,
        6.99987,
        7.07895,
        7.13279,
        7.14355,
        7.07839,
        6.99559,
        7.00926,
        7.23517,
        7.61576,
        7.54911,
        7.22376,
        7.07842,
        7.04243,
        7.06745,
        7.04982,
        7.02222,
        7.02467,
        7.00869,
        7.00324,
        7.02751,
        7.03728,
        7.03169,
        7.01123,
        6.99015,
        7.0154,
        7.04506,
        7.06152,
        7.1245,
        7.18708,
        7.14645,
        7.03545,
        6.9972,
        6.99754,
        7.02049,
        7.06053,
        7.11522,
        7.18009,
        7.15279,
        7.13773,
        7.0911,
        7.06152,
        7.07489,
        7.2612,
        7.6046,
        7.54553,
        7.24083,
        7.09004,
        7.06932,
        7.10663,
        7.19527,
        7.24651,
        7.19979,
        7.13268,
        7.07889,
        7.04698,
        7.03982,
        7.05509,
        7.13543,
        7.18839,
        7.1214,
        7.05797,
        7.06509,
        7.12309,
        7.21192,
        7.26509,
        7.20589,
        7.15917,
        7.2055,
        7.25843,
        7.1962,
        7.10575,
        7.07701,
        7.06729,
        7.05546,
        7.08339,
        7.17527,
        7.24676,
        7.20716,
        7.20899,
        7.31183,
        7.26126,
        7.15678,
        7.09844,
        7.10757,
        7.11229,
        7.11503,
        7.09703,
        7.08191,
        7.0935,
        7.19387,
        7.49781,
        7.64139,
        7.39522,
        7.24177,
        7.19877,
        7.12665,
        7.0936,
        7.09023,
        7.11439,
        7.11987,
        7.11847,
        7.10703,
        7.10134,
        7.12532,
        7.14004,
        7.16606,
        7.14369,
        7.14526,
        7.14302,
        7.13172,
        7.1215,
        7.11657,
        7.12844,
        7.14963,
        7.17584,
        7.14922,
        7.12983,
        7.12855,
        7.13936,
        7.1402,
        7.14644,
        7.14639,
        7.17473,
        7.22776,
        7.37683,
        7.52707,
        7.38775,
        7.23644,
        7.27576,
        7.57811,
        8.0067,
        7.93613,
        7.47336,
        7.29375,
        7.44467,
        7.66663,
        7.56357,
        7.335,
        7.24291,
        7.20384,
        7.18819,
        7.20188,
        7.21425,
        7.20749,
        7.20368,
        7.2038,
        7.19609,
        7.18314,
        7.17522,
        7.15729,
        7.16465,
        7.16196,
        7.18254,
        7.16436,
        7.20095,
        7.24426,
        7.67688,
        7.54578,
        7.24975,
        7.19414,
        7.20672,
        7.22779,
        7.24152,
        7.24445,
        7.31235,
        7.24229,
        7.23261,
        7.21849,
        7.24138,
        7.24355,
        7.2553,
        7.23195,
        7.22764,
        7.21498,
        7.2361,
        7.27023,
        7.27539,
        7.39212,
        7.71327,
        7.41322,
        7.56004,
        7.96935,
        7.8463,
        7.36975,
        7.3308,
        7.30634,
        7.3256,
        7.30405,
        7.31535,
        7.31732,
        7.30854,
        7.30543,
        7.36206,
        7.57259,
        7.83712,
        7.40384,
        7.35754,
        7.37176,
        7.38758,
        7.33353,
        7.37867,
        7.42294,
        7.7355,
        7.55457,
        7.42503,
        7.37168,
        7.38226,
        7.47793,
        7.65183,
        7.43254,
        7.38902,
        7.379,
        7.38687,
        7.60948,
        7.77577,
        7.47969,
        7.40324,
        7.40135,
        7.42002,
        7.41255,
        7.39417,
        7.38445,
        7.44039,
        7.52223,
        7.46356,
        7.40439,
        7.39049,
        7.38755,
        7.39092,
        7.48198,
        7.54662,
        7.59666,
        7.5673,
        7.47154,
        7.42093,
        7.45312,
        7.48707,
        7.55617,
        7.47357,
        7.58632,
        7.94409,
        7.67746,
        7.50427,
        7.56783,
        7.51301,
        7.50548,
        7.46772,
        7.45312,
        7.54963,
        7.76661,
        7.76443,
        7.61558,
        7.60052,
        7.54167,
        7.56528,
        7.90106,
        7.82836,
        7.60337,
        7.6444,
        7.70534,
        7.66127,
        7.53323,
        7.55584,
        7.54524,
        7.54225,
        7.52519,
        7.52827,
        7.57578,
        7.58774,
        7.56107,
        7.76595,
        8.24661,
        7.75206,
        7.61388,
        7.57428,
        7.60611,
        7.66428,
        7.88956,
        7.78584,
        7.63999,
        7.617,
        7.67762,
        7.64906,
        7.71988,
        7.72649,
        7.61565,
        7.61969,
        7.61625,
        7.64595,
        7.72025,
        7.8097,
        7.68027,
        7.70411,
        7.7808,
        7.66529,
        7.62711,
        7.62781,
        7.69509,
        7.82556,
        7.75037,
        7.70418,
        7.66946,
        7.6438,
        7.66521,
        7.65141,
        7.68892,
        7.77863,
        7.7129,
        7.67015,
        7.67118,
        7.6764,
        7.67463,
        7.69015,
        7.69503,
        7.75301,
        7.71075,
        7.72285,
        7.86784,
        8.23713,
        7.96517,
        8.85102,
        8.23563,
        7.6897,
        7.70291,
        7.71799,
        7.69883,
        7.7154,
        7.78963,
        7.76953,
        7.75654,
        7.70519,
        7.70277,
        7.72625,
        7.70032,
        7.68404,
        7.6769,
        7.74785,
        7.72607,
        7.69735,
        7.79887,
        7.93064,
        7.77476,
        7.71546,
        7.67602,
        7.65761,
        7.72102,
        7.68303,
        7.74183,
        7.70359,
        7.74229,
        7.747,
        7.74525,
        7.77239,
        7.83544,
        7.82489,
        7.76112,
        7.81807,
        7.76176,
        7.94737,
        8.725,
        8.05906,
        7.85284,
        7.88788,
        7.79252,
        7.76803,
        7.79932,
        8.02255,
        7.976,
        7.78966,
        7.79523,
        8.36546,
        8.20558,
        7.80255,
        7.77709,
        7.82503,
        7.85142,
        8.56993,
        8.41806,
        7.8202,
        7.79848,
        7.79869,
        7.81525,
        7.82284,
        7.7924,
        7.79723,
        7.80896,
        7.8903,
        8.38326,
        8.4685,
        8.32765,
        8.14929,
        8.02067,
        8.37496,
        7.97426,
        7.8285,
        7.82472,
        7.81996,
        7.90244,
        7.97766,
        7.8593,
        7.86827,
        7.87185,
        7.85759,
        7.82982,
        7.83927,
        7.8661,
        7.8796,
        7.90106,
        7.87742,
        7.86051,
        7.84976,
        7.93501,
        7.91398,
        7.89202,
        7.89801,
        8.23809,
        8.73053,
        8.53337,
        7.95838,
        7.88759,
        7.89258,
        7.92831,
        7.9074,
        7.91017,
        7.9045,
        7.96451,
        7.98633,
        7.97062,
        7.98099,
        7.966,
        7.94185,
        7.91614,
        8.17142,
        8.3632,
        7.99784,
        7.94147,
        7.92686,
        7.95421,
        8.02609,
        8.70982,
        8.28493,
        8.04133,
        7.95773,
        7.93915,
        7.95816,
        7.93971,
        7.97501,
        7.96695,
        7.96536,
        7.97048,
        7.98099,
        8.02413,
        8.0081,
        8.00074,
        8.073,
        8.40442,
        8.69343,
        8.09529,
        8.03979,
        8.01478,
        7.9836,
        8.0101,
        7.99661,
        8.05741,
        8.04432,
        8.14807,
        8.05903,
        8.03706,
        8.06296,
        8.49088,
        9.23793,
        8.16532,
        8.0221,
        8.09414,
        8.60442,
        8.35999,
        8.02637,
        8.04014,
        8.02943,
        8.00047,
        8.12661,
        8.1178,
        8.06754,
        8.0369,
        8.06135,
        8.0999,
        8.21716,
        8.15059,
        8.02093,
        8.04398,
        8.05534,
        8.08162,
        8.14893,
        8.27531,
        8.14651,
        8.05094,
        8.06943,
        8.13163,
        8.2212,
        8.17275,
        8.0332,
        8.05343,
        8.05536,
        8.19254,
        8.31118,
        8.07836,
        8.03607,
        8.04967,
        8.04475,
        8.18014,
        8.17387,
        8.15567,
        8.06098,
        8.03703,
        8.03844,
        8.01202,
        8.15962,
        8.21961,
        8.08994,
        8.08709,
        8.04325,
        8.06124,
        8.05948,
        8.23699,
        8.78476,
        8.31723,
        8.11051,
        8.04416,
        8.07972,
        8.05317,
        8.04304,
        8.10428,
        8.10844,
        8.0929,
        8.13363,
        8.11962,
        8.16434,
        8.09977,
        8.75822,
        8.62819,
        8.31905,
        9.0251,
        8.82171,
        8.22639,
        8.1343,
        8.09126,
        8.16198,
        8.12753,
        8.2106,
        8.28932,
        8.13455,
        8.2228,
        8.15946,
        8.18636,
        8.21265,
        8.37723,
        8.60289,
        8.20746,
        8.18437,
        8.19013,
        8.16307,
        8.27909,
        8.31517,
        8.42947,
        8.43459,
        8.24299,
        8.23074,
        8.25008,
        8.28502,
        8.23285,
        8.16725,
        8.21806,
        8.219,
        8.15869,
        8.25677,
        8.23878,
        8.23773,
        8.18286,
        8.15918,
        8.60558,
        8.99644,
        8.32396,
        8.23984,
        8.14381,
        8.23916,
        8.17888,
        8.167,
        8.24302,
        8.15359,
        8.23632,
        8.1908,
        8.21965,
        8.29937,
        8.23209,
        8.45912,
        9.08801,
        8.42819,
        8.31634,
        8.24015,
        8.28791,
        8.38248,
        8.27787,
        8.35996,
        8.32087,
        8.3124,
        8.34637,
        8.27195,
        8.33117,
        8.33982,
        8.29697,
        8.37412,
        8.31281,
        8.32739,
        8.3526,
        8.28263,
        8.4775,
        9.03541,
        8.54227,
        8.42839,
        8.3325,
        8.3453,
        8.45228,
        8.28758,
        8.38489,
        8.30674,
        8.34183,
        8.37304,
        8.29419,
        8.34892,
        8.36349,
        8.29387,
        8.40721,
        8.34151,
        8.36306,
        8.39345,
        8.34117,
        8.43679,
        8.46765,
        8.42168,
        8.46406,
        8.37718,
        8.45823,
        8.47977,
        8.35914,
        8.42888,
        8.39052,
        8.39608,
        8.39382,
        8.37721,
        8.47388,
        8.90892,
        8.86667,
        8.50809,
        8.50666,
        8.47745,
        8.42667,
        8.44905,
        8.52817,
        8.46334,
        8.40306,
        8.48687,
        8.42681,
        8.41308,
        8.44416,
        8.44154,
        8.56532,
        8.62593,
        8.5199,
        8.476,
        8.45583,
        8.57141,
        8.61827,
        8.48775,
        8.5178,
        8.50088,
        8.51725,
        8.65331,
        9.20518,
        9.25909,
        8.79213,
        8.84824,
        8.94508,
        9.27001,
        8.72196,
        8.5601,
        8.53259,
        8.50373,
        8.51268,
        8.58514,
        8.60506,
        8.57686,
        8.62952,
        8.66463,
        8.69748,
        8.94528,
        8.84023,
        8.55087,
        8.56021,
        8.55931,
        8.56816,
        8.68304,
        8.66474,
        8.53759,
        8.53645,
        8.53081,
        8.50853,
        8.64643,
        9.02685,
        9.13744,
        8.72152,
        8.56643,
        8.57571,
        8.65598,
        9.09425,
        9.72119,
        8.98606,
        8.58205,
        8.58569,
        8.56515,
        8.57725,
        8.6152,
        8.69368,
        8.92354,
        8.81448,
        8.60234,
        8.6052,
        8.59622,
        8.55668,
        8.63738,
        8.75803,
        8.77116,
        8.6372,
        8.56456,
        8.54848,
        8.57556,
        8.54712,
        8.52639,
        8.64238,
        8.76784,
        8.65739,
        8.70621,
        8.75287,
        8.70853,
        8.71129,
        8.83807,
        8.72011,
        8.62125,
        8.64916,
        8.75014,
        8.88256,
        8.83858,
        8.74809,
        8.64669,
        8.6324,
        8.71884,
        8.70011,
        8.65805,
        8.63415,
        8.61711,
        8.64825,
        8.62087,
        8.68121,
        8.97735,
        9.18345,
        9.29776,
        8.78755,
        8.62627,
        8.6682,
        8.71935,
        8.75068,
        8.73814,
        8.72227,
        8.67778,
        8.70031,
        8.71681,
        8.69086,
        8.83581,
        8.89916,
        8.75157,
        8.78724,
        8.87162,
        8.89235,
        8.79782,
        8.74328,
        8.80593,
        8.95791,
        8.81074,
        8.71635,
        8.80817,
        8.68864,
        9.10611,
        9.75349,
        9.83251,
        10.6959,
        9.73702,
        8.85783,
        8.78645,
        8.80905,
        8.79573,
        8.95474,
        9.28337,
        8.95705,
        8.85407,
        8.93459,
        8.87712,
        8.85458,
        8.75586,
        8.74944,
        8.80214,
        8.78922,
        8.99066,
        9.26569,
        8.90437,
        8.74804,
        8.77986,
        8.78588,
        8.80102,
        8.83024,
        8.76492,
        8.78265,
        8.81945,
        8.74347,
        8.84789,
        8.84127,
        8.78596,
        8.82808,
        8.80981,
        8.76105,
        8.78115,
        8.81896,
        8.78698,
        9.04003,
        9.74661,
        9.29862,
        8.84696,
        8.78469,
        8.75912,
        8.83794,
        8.84356,
        8.7947,
        8.8898,
        9.10656,
        9.22802,
        8.88416,
        8.76671,
        8.76679,
        8.80646,
        8.78092,
        8.7698,
        8.78229,
        8.79373,
        8.78376,
        8.87801,
        8.90377,
        8.82386,
        8.85572,
        8.90653,
        9.02307,
        9.08874,
        9.00059,
        8.89843,
        8.93651,
        8.9043,
        8.84552,
        8.87214,
        8.85943,
        8.84965,
        8.87886,
        8.82876,
        8.84323,
        8.88958,
        8.87806,
        8.86096,
        8.93565,
        8.92969,
        8.928,
        9.07598,
        9.28955,
        9.03488,
        8.88513,
        9.05486,
        9.5846,
        9.24361,
        8.90128,
        8.8889,
        9.13815,
        9.46833,
        9.17694,
        9.11788,
        8.96943,
        8.88901,
        8.89538,
        8.90738,
        8.89054,
        8.94898,
        8.92308,
        8.89539,
        8.90492,
        8.94403,
        8.95456,
        8.92592,
        8.89801,
        8.8642,
        8.90703,
        8.90299,
        8.85659,
        8.93153,
        9.05709,
        9.71483,
        9.6007,
        9.00849,
        8.89641,
        8.90053,
        8.92795,
        8.89956,
        8.93289,
        8.95959,
        8.91091,
        9.00084,
        9.152,
        9.12896,
        9.35639,
        9.80884,
        9.42958,
        9.25656,
        9.42532,
        9.19783,
        8.98954,
        9.03744,
        9.11495,
        9.08473,
        9.03101,
        8.95131,
        8.93227,
        8.96771,
        8.9614,
        8.97161,
        9.00813,
        9.03637,
        9.02621,
        9.05075,
        9.12984,
        9.03382,
        8.98287,
        8.99266,
        8.9716,
        9.00937,
        9.04509,
        9.00667,
        9.01995,
        9.01082,
        8.9422,
        9.0132,
        9.035,
        9.00843,
        9.01217,
        9.12051,
        9.11825,
        9.02336,
        9.03554,
        9.03491,
        9.01436,
        9.08157,
        9.01532,
        8.9635,
        9.06981,
        9.09874,
        9.04598,
        9.04828,
        9.06755,
        9.30119,
        9.91676,
        9.43926,
        9.03987,
        8.99798,
        9.03083,
        9.01423,
        8.99447,
        9.05705,
        9.05751,
        9.17495,
        9.19645,
        9.08286,
        9.07261,
        9.27621,
        9.7285,
        9.52937,
        9.12432,
        9.12062,
        9.0519,
        9.07543,
        9.10402,
        9.03565,
        9.09656,
        9.13351,
        9.04849,
        9.06049,
        9.3077,
        9.37107,
        9.15218,
        9.07689,
        9.07042,
        9.05101,
        9.09572,
        9.12762,
        9.21765,
        9.48919,
        9.29903,
        9.07374,
        9.07026,
        9.11897,
        9.1018,
        9.11358,
        9.17878,
        9.13406,
        9.07911,
        9.17172,
        9.34717,
        9.53211,
        9.45365,
        9.43454,
        9.17999,
        9.13542,
        9.15847,
        9.14207,
        9.31049,
        9.55353,
        9.33032,
        9.1749,
        9.17523,
        9.13212,
        9.11067,
        9.14995,
        9.17329,
        9.10263,
        9.12474,
        9.17714,
        9.15127,
        9.3105,
        9.35206,
        9.13875,
        9.11827,
        9.22785,
        9.20804,
        9.18935,
        9.25918,
        9.31512,
        9.2245,
        9.21077,
        9.27353,
        9.14832,
        9.21764,
        9.2252,
        9.19091,
        9.16247,
        9.23518,
        9.20767,
        9.13053,
        9.20571,
        9.19807,
        9.14863,
        9.29351,
        9.41268,
        9.23407,
        9.18597,
        9.21662,
        9.22095,
        9.20513,
        9.32632,
        9.72567,
        10.0752,
        10.1344,
        9.57731,
        9.53174,
        9.40005,
        9.53406,
        9.32919,
        9.20479,
        9.38675,
        9.52592,
        9.25791,
        9.25606,
        9.24208,
        9.20807,
        9.26621,
        9.48951,
        9.49077,
        9.34959,
        9.26706,
        9.27593,
        9.53231,
        10.0469,
        10.2504,
        10.1891,
        9.42104,
        9.26333,
        9.23994,
        9.15179,
        9.23394,
        9.22779,
        9.18664,
        9.24461,
        9.30257,
        9.19329,
        9.18478,
        9.28128,
        9.24873,
        9.20914,
        9.26905,
        9.27103,
        9.3647,
        9.44626,
        9.34233,
        9.28833,
        9.30157,
        9.37777,
        9.3256,
        9.2681,
        9.29243,
        9.26948,
        9.298,
        10.3254,
        10.7518,
        9.48377,
        9.23839,
        9.30427,
        9.28468,
        9.29395,
        9.79963,
        10.4206,
        9.73055,
        9.39989,
        9.36422,
        9.35376,
        10.0157,
        10.5567,
        9.55996,
        9.20211,
        9.24314,
        9.37786,
        9.78977,
        9.74857,
        10.0669,
        10.3143,
        9.48118,
        9.3587,
        9.35341,
        9.35413,
        9.31873,
        9.38316,
        9.37464,
        9.29971,
        9.39347,
        9.46297,
        9.30884,
        9.29064,
        9.3306,
        9.28463,
        9.24373,
        9.26177,
        9.32656,
        9.34945,
        9.31455,
        9.33383,
        9.28799,
        9.23674,
        9.31624,
        9.35859,
        9.4401,
        9.50877,
        9.39445,
        9.27735,
        9.27731,
        9.27397,
        9.29955,
        9.23127,
        9.34053,
        9.47649,
        9.43762,
        9.31557,
        9.34919,
        9.34,
        9.26068,
        9.31249,
        9.37414,
        9.33281,
        9.28644,
        9.37361,
        9.38016,
        9.29926,
        9.36134,
        9.38713,
        9.26029,
        9.3327,
        9.4777,
        9.41551,
        9.28887,
        9.29346,
        9.35533,
        9.32388,
        9.26794,
        9.32726,
        9.34748,
        9.29237,
        9.3596,
        9.41842,
        9.41012,
        9.28409,
        9.33307,
        9.32912,
        9.33346,
        9.30114,
        9.37546,
        9.3694,
        9.27103,
        9.41601,
        9.4264,
        9.33614,
        9.31948,
        9.39694,
        9.35941,
        9.28092,
        9.40476,
        9.45033,
        9.30341,
        9.34333,
        9.448,
        9.37917,
        9.32879,
        9.33591,
        9.30711,
        9.31857,
        9.2979,
        9.36764,
        9.51671,
        9.58312,
        9.40013,
        9.3638,
        9.41028,
        9.47693,
        9.62916,
        9.6589,
        9.71604,
        9.6623,
        9.51092,
        9.50687,
        9.45836,
        9.40526,
        9.39297,
        9.41258,
        9.39462,
        9.35554,
        9.4182,
        9.48196,
        9.60363,
        9.66997,
        9.59441,
        9.4536,
        9.38283,
        9.45932,
        9.54929,
        9.41459,
        9.41958,
        9.5256,
        9.43164,
        9.32395,
        9.37322,
        9.39655,
        9.37565,
        9.34464,
        9.36983,
        9.4339,
        9.44527,
        9.369,
        9.38025,
        9.3641,
        9.39385,
        9.49373,
        9.55928,
        9.48658,
        9.47812,
        9.54875,
        9.49801,
        9.44165,
        9.42687,
        9.44572,
        9.45325,
        9.45358,
        9.46558,
        9.51817,
        9.46811,
        9.4486,
        9.4632,
        9.45522,
        9.43021,
        9.42147,
        9.43941,
        9.44004,
        9.40159,
        9.44872,
        9.46844,
        9.44575,
        9.43587,
        9.40479,
        9.47982,
        9.57702,
        9.52199,
        9.45186,
        9.41836,
        9.44796,
        9.60297,
        9.69159,
        9.52019,
        9.57413,
        9.99619,
        10.0457,
        9.83166,
        10.1495,
        9.91663,
        9.56946,
        9.50122,
        9.51839,
        9.56192,
        9.66119,
        9.79706,
        9.94299,
        9.80511,
        9.50999,
        9.50216,
        9.90477,
        10.8219,
        10.578,
        9.69979,
        9.61978,
        9.84114,
        9.84871,
        9.52324,
        9.46598,
        9.44853,
        9.45027,
        9.44143,
        9.39062,
        9.52229,
        9.99771,
        10.3226,
        9.79834,
        9.68597,
        10.3825,
        10.5025,
        9.65914,
        9.40748,
        9.4867,
        9.42717,
        9.52328,
        9.63689,
        9.87469,
        10.2682,
        10.4475,
        9.9749,
        9.6287,
        9.67048,
        9.87171,
        10.0008,
        9.90895,
        9.6218,
        9.49441,
        9.54566,
        9.51565,
        9.51385,
        9.48037,
        9.46298,
        9.53366,
        9.69331,
        9.89019,
        9.73933,
        9.558,
        9.56134,
        9.59342,
        9.57627,
        9.73453,
        10.039,
        10.0062,
        9.74479,
        9.51332,
        9.51113,
        9.54046,
        9.5058,
        9.45892,
        9.48948,
        9.62932,
        9.50744,
        9.47931,
        9.52008,
        9.56437,
        9.60987,
        9.56061,
        9.58306,
        9.62328,
        9.56242,
        9.52513,
        9.6166,
        9.61012,
        9.58452,
        9.53687,
        9.58067,
        9.59859,
        9.58074,
        9.54898,
        9.6035,
        9.58348,
        9.54975,
        9.60539,
        9.61748,
        9.62765,
        9.85047,
        9.81543,
        9.91607,
        9.74971,
        9.59928,
        9.6953,
        10.0755,
        10.2347,
        9.76664,
        9.56883,
        9.55812,
        9.5107,
        9.52635,
        9.57464,
        9.6402,
        9.5701,
        9.53833,
        9.57007,
        9.608,
        9.58868,
        9.66401,
        9.77499,
        9.7287,
        9.62268,
        9.61091,
        9.68115,
        9.79915,
        9.83541,
        9.71283,
        9.5765,
        9.59793,
        9.58602,
        9.55405,
        9.65065,
        9.61425,
        9.56035,
        9.60522,
        9.64704,
        9.52146,
        9.53659,
        9.61352,
        9.61603,
        9.46128,
        9.51038,
        9.59491,
        9.5838,
        9.5784,
        9.59257,
        9.58047,
        9.59981,
        9.56908,
        9.54003,
        9.61975,
        9.63246,
        9.49869,
        9.56115,
        9.73154,
        9.66397,
        9.59642,
        9.63614,
        9.80469,
        9.9996,
        10.1504,
        9.9613,
        9.7928,
        9.69359,
        9.76344,
        9.76114,
        9.86907,
        10.3263,
        10.3613,
        9.81551,
        9.86456,
        10.0889,
        10.218,
        9.77537,
        9.62211,
        9.56969,
        9.49869,
        9.66722,
        10.0074,
        10.3616,
        9.97874,
        9.63742,
        9.65323,
        9.6432,
        9.56036,
        9.53463,
        9.66185,
        9.71986,
        9.62201,
        9.61612,
        9.72798,
        9.75514,
        9.61299,
        9.67149,
        9.85536,
        9.85565,
        9.69033,
        9.68458,
        9.77838,
        9.76872,
        9.72572,
        9.74466,
        9.7606,
        9.75356,
        9.67774,
        9.62576,
        9.70139,
        9.74773,
        9.62872,
        9.61933,
        9.67013,
        9.75209,
        10.0038,
        9.98295,
        9.76924,
        9.71321,
        9.57568,
        9.71616,
        9.7397,
        9.71216,
        9.66548,
        9.66081,
        9.68021,
        9.69333,
        9.5785,
        9.60615,
        9.6906,
        9.74675,
        9.72055,
        9.62213,
        9.7437,
        9.76511,
        9.71193,
        9.68652,
        9.77347,
        9.81045,
        9.71707,
        9.66903,
        9.72192,
        9.95601,
        10.1254,
        10.0404,
        9.95326,
        9.87585,
        9.85726,
        9.85836,
        9.8163,
        9.87817,
        9.81444,
        9.74653,
        9.71683,
        9.726,
        9.7994,
        9.74784,
        9.68588,
        9.87923,
        10.0091,
        9.87861,
        9.95346,
        9.83382,
        9.84354,
        9.69866,
        9.62689,
        9.75858,
        10.1873,
        10.6596,
        10.8912,
        10.8218,
        10.227,
        9.96096,
        9.89269,
        9.83993,
        9.8074,
        9.76586,
        9.85013,
        9.87517,
        10.1415,
        10.5448,
        10.256,
        9.90495,
        9.89202,
        9.86303,
        9.85894,
        9.92315,
        10.2145,
        10.0058,
        10.4533,
        11.1386,
        10.4959,
        10.0192,
        9.92346,
        9.98252,
        9.99807,
        9.96133,
        10.0579,
        10.257,
        10.4127,
        10.1519,
        9.86272,
        9.97559,
        10.2515,
        10.3016,
        10.2365,
        10.233,
        10.1195,
        9.95182,
        9.81694,
        9.77099,
        9.7934,
        9.86787,
        9.89618,
        9.81429,
        9.80841,
        9.82777,
        9.84739,
        9.81148,
        9.77679,
        9.97618,
        9.83366,
        9.90353,
        9.85188,
        10.1124,
        10.1538,
        9.97546,
        10.0319,
        9.94544,
        10.0697,
        9.98805,
        9.91158,
        9.84709,
        9.89187,
        9.93313,
        9.78393,
        9.76751,
        9.9022,
        9.90343,
        9.98633,
        9.93909,
        9.8188,
        9.90909,
        10.249,
        10.7916,
        10.4377,
        9.98984,
        10.0135,
        9.91123,
        10.1841,
        9.99097,
        10.0654,
        10.2956,
        9.98019,
        9.91057,
        9.91477,
        9.92068,
        9.95884,
        9.87641,
        9.89488,
        9.89097,
        9.8818,
        9.94343,
        9.95032,
        9.97561,
        10.0072,
        9.95544,
        9.9824,
        10.1977,
        10.1452,
        10.1634,
        10.0725,
        10.0504,
        10.2063,
        9.91836,
        9.88763,
        10.0458,
        10.0922,
        9.90391,
        9.86406,
        9.96261,
        10.023,
        9.90929,
        9.82445,
        9.9361,
        9.99401,
        10.0967,
        9.9824,
        9.96122,
        10.0055,
        10.1467,
        10.1017,
        10.0281,
        9.98379,
        10.051,
        10.089,
        9.91466,
        9.9455,
        10.0039,
        9.92649,
        9.77984,
        9.88162,
        9.95488,
        9.924,
        10.2894,
        10.4426,
        10.4436,
        10.213,
        10.0744,
        9.88924,
        9.8538,
        9.92939,
        10.0423,
        10.0,
        10.3307,
        10.7739,
        10.5412,
        10.2277,
        9.82539,
        9.91762,
        10.0905,
        9.81749,
        9.82771,
        9.72264,
        10.1641,
        10.0093,
        10.1907,
        9.98964,
        10.1082,
        10.2103,
        10.1379,
        9.95302,
        9.83795,
        10.0275,
        10.3106,
        10.1049,
        10.0616,
        10.1538,
        10.3053,
        9.9408,
        9.93193,
        10.005,
        10.1345,
        10.2207,
        9.91554,
        9.84362,
        10.2119,
        10.3903,
        10.4081,
        10.2814,
        9.98696,
        9.90223,
        9.88627,
        9.78427,
        10.3113,
        10.9712,
        10.7206,
        10.0597,
        10.1276,
        10.0296,
        9.84573,
        9.94285,
        10.0781,
        10.0795,
        9.93929,
        9.96451,
        9.88966,
        9.83242,
        10.3401,
        9.92167,
        9.25601,
        10.3063,
        10.0649,
        9.92402,
        9.96966,
        9.88184,
        9.50933,
        9.43815,
        9.67066,
        9.67982,
        9.64472,
        9.89897,
        9.69689,
        10.0206,
        9.90651,
        10.1335,
        10.1108,
        10.5208,
        11.1213,
        10.3032,
        9.9854,
        10.1729,
        10.2686,
        9.7814,
        9.55593,
        10.0194,
        9.99384,
        10.0551,
        10.5651,
        9.83928,
        10.0707,
        10.8639,
        10.9429,
        10.2798,
        11.2934,
        10.0261,
        9.26717,
        9.58967,
        9.4917,
        11.349,
        11.6778,
        8.97744,
        10.8615,
        10.317,
        8.23478,
        9.22043,
        10.3237,
        9.71773,
        8.99753,
        9.36551,
        7.34655,
        10.37,
        8.27647,
        7.44745,
        8.83655,
        9.76145,
        9.96087,
        11.0833,
        10.5237,
        9.00301,
        9.04911,
        9.86047,
        10.4227,
        9.75943,
        8.78989,
        9.44972,
        10.5206,
        9.72297,
        9.76087,
        10.7174,
        9.66422,
        9.52752,
        9.90348,
        10.459,
        10.8422,
        10.6313,
        10.6836,
        9.87914,
        9.17523,
        8.76671,
        8.63214,
        9.45525,
        10.4158,
        10.1251,
        8.52318,
        9.44381,
        9.73581,
        10.6197,
        10.4473,
        9.7184,
        10.012,
        9.73551,
        9.48141,
        9.51742,
        9.63499,
        10.1641,
        10.7611,
        9.65429,
        9.16548,
        10.1768,
        9.74273,
        9.07718,
        10.1124,
        10.7443,
        10.1945,
        10.054,
        10.9565,
        10.4728,
        9.15877,
        9.46216,
        9.77759,
        9.71883,
        9.9285,
        10.073,
        10.1141,
        9.67591,
        9.71597,
        10.0582,
        9.70068,
        9.59388,
        8.7043,
        9.45881,
        9.52677,
        9.78373,
        9.32067,
        10.189,
        10.1259,
        10.4326,
        10.6258,
        10.3168,
        9.38741,
        9.83058,
        11.0667,
        11.1845,
        8.97553,
        10.5287,
        10.7011,
        11.4734,
        9.96789,
        9.14186,
        10.4423,
        10.0932,
        9.98308,
        9.98249,
        9.98189,
        9.98129,
        9.98069,
        9.98009,
        9.97949,
        9.97889,
        9.97829,
        9.97769,
        9.97709,
        9.97648
    ],
    "flux_error": [
        0.0134531,
        0.0146087,
        0.0149609,
        0.0161903,
        0.0172032,
        0.0199474,
        0.0272107,
        0.0283219,
        0.0285967,
        0.0313518,
        0.0317192,
        0.0394869,
        0.0397001,
        0.0397001,
        0.0397001,
        0.0397001,
        0.0397001,
        0.0397001,
        0.0397001,
        0.0397001,
        0.0397001,
        0.0397001,
        0.0397001,
        0.0399244,
        0.0399244,
        0.0400279,
        0.0400279,
        0.0399244,
        0.0394869,
        0.0394869,
        0.0345857,
        0.0345857,
        0.0345857,
        0.0345857,
        0.0345857,
        0.0345857,
        0.0345857,
        0.0345857,
        0.0345857,
        0.0345857,
        0.0345857,
        0.0345857,
        0.0345857,
        0.0345857,
        0.0355067,
        0.035805,
        0.035805,
        0.035805,
        0.035805,
        0.035805,
        0.035805,
        0.035805,
        0.0374088,
        0.0374088,
        0.0374088,
        0.0374088,
        0.0366202,
        0.0374088,
        0.0374088,
        0.0402382,
        0.0408079,
        0.0417001,
        0.0417001,
        0.0408079,
        0.0402382,
        0.0374088,
        0.0366202,
        0.0355067,
        0.0355067,
        0.0347319,
        0.0347319,
        0.0347319,
        0.0342462,
        0.0342462,
        0.0342462,
        0.0336584,
        0.033513,
        0.033513,
        0.033513,
        0.0342462,
        0.0342462,
        0.0342462,
        0.0342462,
        0.0340046,
        0.0342462,
        0.0340046,
        0.0340046,
        0.033513,
        0.033513,
        0.033513,
        0.033513,
        0.0328619,
        0.031266,
        0.0303232,
        0.031266,
        0.0328619,
        0.0340046,
        0.0342462,
        0.0342502,
        0.0342502,
        0.0342502,
        0.0342462,
        0.0340046,
        0.0328619,
        0.031266,
        0.0303232,
        0.0299647,
        0.0299647,
        0.0299647,
        0.0281524,
        0.0274256,
        0.0266594,
        0.0236179,
        0.0266594,
        0.0274256,
        0.0236179,
        0.0236179,
        0.0236179,
        0.0223407,
        0.0218533,
        0.0217056,
        0.0217056,
        0.0217056,
        0.0217056,
        0.0217056,
        0.0217056,
        0.0217056,
        0.0217056,
        0.0217056,
        0.0217056,
        0.0217056,
        0.0217056,
        0.021785,
        0.0218533,
        0.0223122,
        0.0223407,
        0.0260825,
        0.0263221,
        0.0263221,
        0.0263221,
        0.0263221,
        0.0263221,
        0.0269219,
        0.027762,
        0.027762,
        0.027762,
        0.027762,
        0.027762,
        0.0280309,
        0.0285549,
        0.0292464,
        0.029425,
        0.0294817,
        0.0308083,
        0.0308083,
        0.0308083,
        0.0308083,
        0.0298823,
        0.0303634,
        0.0303634,
        0.0298823,
        0.0303634,
        0.0298823,
        0.0303634,
        0.0298823,
        0.0298823,
        0.0298167,
        0.0298167,
        0.0292464,
        0.0292464,
        0.0292464,
        0.0292464,
        0.0298167,
        0.0292464,
        0.0263106,
        0.0262899,
        0.0262899,
        0.0262899,
        0.0263106,
        0.0262899,
        0.0262899,
        0.0256487,
        0.0256487,
        0.0256487,
        0.0256487,
        0.0256487,
        0.0256487,
        0.0256487,
        0.0255997,
        0.0248256,
        0.0248256,
        0.0248256,
        0.024191,
        0.024191,
        0.0236772,
        0.0236772,
        0.0236772,
        0.0236772,
        0.0236772,
        0.024191,
        0.0236772,
        0.0239325,
        0.0236772,
        0.0236525,
        0.0233863,
        0.022586,
        0.022586,
        0.022586,
        0.0224793,
        0.0224793,
        0.0224793,
        0.0206335,
        0.0206335,
        0.0206335,
        0.0206335,
        0.0203024,
        0.0203024,
        0.0206335,
        0.0207282,
        0.0210469,
        0.0207282,
        0.0206335,
        0.0203024,
        0.0195046,
        0.0195046,
        0.0203024,
        0.0207282,
        0.0210469,
        0.0210857,
        0.0212169,
        0.0212169,
        0.0213383,
        0.0213383,
        0.0224793,
        0.02354,
        0.0241189,
        0.0245409,
        0.026329,
        0.026329,
        0.0269415,
        0.0276238,
        0.0284327,
        0.0294562,
        0.0298107,
        0.0299434,
        0.0300971,
        0.0300971,
        0.031613,
        0.031613,
        0.031613,
        0.031613,
        0.031613,
        0.031613,
        0.031613,
        0.031613,
        0.031613,
        0.031613,
        0.0313938,
        0.0313938,
        0.0305983,
        0.0303397,
        0.0299434,
        0.0298107,
        0.0298107,
        0.0298107,
        0.0289176,
        0.0275427,
        0.0259483,
        0.0259483,
        0.0251841,
        0.0246889,
        0.0246889,
        0.023835,
        0.023835,
        0.023835,
        0.023835,
        0.023835,
        0.023835,
        0.023835,
        0.0222053,
        0.0219465,
        0.0219465,
        0.0222053,
        0.0227323,
        0.0227323,
        0.0231971,
        0.0246889,
        0.0246889,
        0.0231971,
        0.0227323,
        0.0231971,
        0.0227323,
        0.0231971,
        0.0231971,
        0.02502,
        0.0273731,
        0.0275801,
        0.0276419,
        0.027983,
        0.0276419,
        0.0276419,
        0.0276419,
        0.0275801,
        0.0276419,
        0.0276419,
        0.0280178,
        0.0280178,
        0.0280178,
        0.0276419,
        0.0273731,
        0.0273731,
        0.0273731,
        0.0273731,
        0.0260883,
        0.0273731,
        0.0273731,
        0.0260883,
        0.0260883,
        0.0259688,
        0.0259688,
        0.0259688,
        0.0257283,
        0.0257283,
        0.0251119,
        0.0257283,
        0.0257283,
        0.0257283,
        0.0251119,
        0.0244349,
        0.0227955,
        0.0227955,
        0.0227955,
        0.0225506,
        0.0220644,
        0.0218348,
        0.0209132,
        0.0199955,
        0.0192042,
        0.0159691,
        0.014879,
        0.0146373,
        0.0146373,
        0.0145513,
        0.0145193,
        0.0145193,
        0.0145193,
        0.0145193,
        0.0123218,
        0.0119359,
        0.0119359,
        0.0115379,
        0.01089,
        0.01089,
        0.01089,
        0.0102201,
        0.00972531,
        0.00972531,
        0.00972531,
        0.00972531,
        0.0102201,
        0.0107686,
        0.01089,
        0.0110914,
        0.0112689,
        0.0112689,
        0.0110914,
        0.01089,
        0.01089,
        0.0107686,
        0.0110914,
        0.0110914,
        0.0110914,
        0.0112689,
        0.0116477,
        0.0116477,
        0.0116477,
        0.0116477,
        0.0116477,
        0.0120215,
        0.0120814,
        0.0120215,
        0.0120814,
        0.0121985,
        0.0122847,
        0.0126672,
        0.0130575,
        0.0133746,
        0.0130575,
        0.0133746,
        0.0144578,
        0.0148955,
        0.0148955,
        0.0162719,
        0.0168844,
        0.0178512,
        0.0209461,
        0.0209643,
        0.0217106,
        0.0217167,
        0.0218306,
        0.0218306,
        0.0219227,
        0.0220932,
        0.0223414,
        0.023732,
        0.023732,
        0.023732,
        0.0243761,
        0.023732,
        0.023732,
        0.0243761,
        0.0244125,
        0.0246469,
        0.0248954,
        0.0248954,
        0.0249854,
        0.0249854,
        0.0249854,
        0.0249854,
        0.0249854,
        0.0256929,
        0.0256929,
        0.0256929,
        0.0249854,
        0.0248398,
        0.0244125,
        0.0242195,
        0.0242195,
        0.0242195,
        0.0242195,
        0.0234794,
        0.0234794,
        0.0234794,
        0.0234794,
        0.0228197,
        0.0223301,
        0.0223301,
        0.0223301,
        0.0221936,
        0.0221936,
        0.021606,
        0.0214612,
        0.02061,
        0.0201435,
        0.0190932,
        0.0190932,
        0.0190932,
        0.0188922,
        0.0188922,
        0.0185773,
        0.018142,
        0.017751,
        0.0165701,
        0.0165701,
        0.0162539,
        0.0161631,
        0.0161631,
        0.0157966,
        0.0162539,
        0.0157966,
        0.0157966,
        0.0157702,
        0.0155927,
        0.0155927,
        0.0151516,
        0.0140043,
        0.0137801,
        0.0136612,
        0.0136612,
        0.0130294,
        0.0127123,
        0.0126984,
        0.0126984,
        0.0126944,
        0.0126944,
        0.0126944,
        0.0126944,
        0.0126944,
        0.0126944,
        0.012484,
        0.012484,
        0.0122375,
        0.0120942,
        0.0118019,
        0.0116818,
        0.0116818,
        0.0116818,
        0.0116818,
        0.0116818,
        0.0113696,
        0.0113696,
        0.011212,
        0.0111454,
        0.0109235,
        0.0100402,
        0.0100402,
        0.0100402,
        0.0094742,
        0.0094742,
        0.0094742,
        0.0100402,
        0.0100402,
        0.0100402,
        0.0094742,
        0.0094742,
        0.0094742,
        0.0094742,
        0.0094742,
        0.00928873,
        0.0094742,
        0.00971579,
        0.0100402,
        0.0107197,
        0.0107197,
        0.0100402,
        0.0107197,
        0.0107197,
        0.0107197,
        0.0107197,
        0.0112619,
        0.0123342,
        0.0123342,
        0.0123342,
        0.0123342,
        0.0140344,
        0.0143227,
        0.0143227,
        0.0143227,
        0.0145178,
        0.0145178,
        0.0145178,
        0.0157676,
        0.0157676,
        0.0157676,
        0.0157676,
        0.0159062,
        0.0159062,
        0.0160265,
        0.0161554,
        0.0161554,
        0.0165414,
        0.0165414,
        0.0165414,
        0.0161554,
        0.0161554,
        0.0161554,
        0.0161554,
        0.0161554,
        0.0165414,
        0.0165414,
        0.0165414,
        0.0161554,
        0.0161554,
        0.0161554,
        0.0161554,
        0.0157676,
        0.0157676,
        0.0157676,
        0.0157676,
        0.0157676,
        0.0157676,
        0.0157676,
        0.0152851,
        0.0152851,
        0.0152851,
        0.0152851,
        0.0152851,
        0.0152851,
        0.0152851,
        0.0152851,
        0.0168993,
        0.0168993,
        0.0168993,
        0.0173115,
        0.0173115,
        0.0173115,
        0.0173115,
        0.0173115,
        0.0173115,
        0.0173115,
        0.0173115,
        0.0174634,
        0.0174634,
        0.0174634,
        0.0174634,
        0.0175437,
        0.0175437,
        0.0174634,
        0.0173115,
        0.0173115,
        0.0173115,
        0.0170172,
        0.0170172,
        0.0170172,
        0.0170172,
        0.0170172,
        0.0170172,
        0.0167582,
        0.0154581,
        0.0153044,
        0.0134247,
        0.0134247,
        0.012993,
        0.012993,
        0.0129261,
        0.0129261,
        0.0129261,
        0.0129261,
        0.0119553,
        0.0119553,
        0.0119553,
        0.0119553,
        0.0119553,
        0.0119553,
        0.0129261,
        0.0119553,
        0.0119553,
        0.0113059,
        0.0119553,
        0.0113059,
        0.0113059,
        0.0113059,
        0.0119553,
        0.0119553,
        0.0119553,
        0.0119553,
        0.0112255,
        0.0118756,
        0.0118756,
        0.0119553,
        0.0118756,
        0.0118756,
        0.0118756,
        0.0119553,
        0.0121327,
        0.0121327,
        0.0121327,
        0.0121327,
        0.0125304,
        0.0125304,
        0.0121327,
        0.0119847,
        0.0118792,
        0.0118756,
        0.0118792,
        0.0118792,
        0.0118792,
        0.0118756,
        0.0118756,
        0.0109403,
        0.0109403,
        0.0108916,
        0.0107892,
        0.0106907,
        0.0106063,
        0.0106063,
        0.0106063,
        0.0106063,
        0.0103533,
        0.0106063,
        0.0103533,
        0.0103533,
        0.00971823,
        0.00971823,
        0.00928607,
        0.00890692,
        0.00890692,
        0.00890692,
        0.00802168,
        0.00802168,
        0.008158,
        0.00814146,
        0.00814146,
        0.00814146,
        0.00802168,
        0.00729838,
        0.00729838,
        0.00802168,
        0.00805024,
        0.00805024,
        0.00814146,
        0.00814146,
        0.008158,
        0.00814146,
        0.00814146,
        0.00814146,
        0.00814146,
        0.00805024,
        0.00814146,
        0.008158,
        0.008158,
        0.008158,
        0.008158,
        0.00878559,
        0.00878559,
        0.00929372,
        0.00952614,
        0.00952614,
        0.00929372,
        0.00952614,
        0.00952614,
        0.00934707,
        0.00952614,
        0.00983895,
        0.0104629,
        0.011306,
        0.0113414,
        0.0116884,
        0.0126782,
        0.0126782,
        0.0129136,
        0.0126782,
        0.0129136,
        0.0134836,
        0.0137487,
        0.0148022,
        0.0153067,
        0.0165997,
        0.0165997,
        0.0165997,
        0.0165997,
        0.0165997,
        0.0165997,
        0.0165997,
        0.0167124,
        0.0165997,
        0.0167124,
        0.0168961,
        0.0173492,
        0.0176575,
        0.0176575,
        0.0176575,
        0.0176991,
        0.0176991,
        0.0182315,
        0.0182404,
        0.0182557,
        0.0182557,
        0.0182315,
        0.0182315,
        0.0182557,
        0.0182557,
        0.0186167,
        0.0188235,
        0.0193613,
        0.0193613,
        0.0193613,
        0.0192664,
        0.0193613,
        0.0193613,
        0.0193613,
        0.0195357,
        0.0193613,
        0.0193613,
        0.0193613,
        0.0195357,
        0.0199171,
        0.0200984,
        0.0200984,
        0.0199171,
        0.0195357,
        0.0195357,
        0.0195357,
        0.0199171,
        0.0199171,
        0.0195357,
        0.0195357,
        0.0192664,
        0.0192664,
        0.0192664,
        0.0192664,
        0.0191241,
        0.0187455,
        0.0186488,
        0.0182546,
        0.017595,
        0.0175275,
        0.0174684,
        0.0174684,
        0.0168091,
        0.0150899,
        0.0139245,
        0.0139245,
        0.0141107,
        0.0141107,
        0.0139245,
        0.0138208,
        0.0124899,
        0.0121697,
        0.0121697,
        0.0136032,
        0.0136032,
        0.0121697,
        0.0121635,
        0.0121635,
        0.0121635,
        0.0120243,
        0.0120243,
        0.0120243,
        0.0120243,
        0.0120243,
        0.0113607,
        0.0109667,
        0.0109129,
        0.0109667,
        0.0109667,
        0.0113607,
        0.0120243,
        0.0120243,
        0.0115417,
        0.0115417,
        0.0115417,
        0.0115417,
        0.0109667,
        0.0100607,
        0.0100607,
        0.0109667,
        0.0115417,
        0.0120243,
        0.0122387,
        0.0122387,
        0.0115417,
        0.0122387,
        0.0122387,
        0.0123082,
        0.0122387,
        0.0115417,
        0.0122387,
        0.0122387,
        0.0115417,
        0.0115417,
        0.0119132,
        0.0122387,
        0.012383,
        0.012383,
        0.012383,
        0.0122825,
        0.0122825,
        0.0119132,
        0.0122825,
        0.0122825,
        0.012383,
        0.0131074,
        0.0131074,
        0.0131771,
        0.0131771,
        0.0131074,
        0.012383,
        0.0122825,
        0.0119132,
        0.0117593,
        0.0106099,
        0.0109308,
        0.0109308,
        0.0112795,
        0.0112795,
        0.0112795,
        0.0112795,
        0.0112795,
        0.0112795,
        0.0115166,
        0.0115166,
        0.0115166,
        0.0112795,
        0.0112795,
        0.0112795,
        0.0112795,
        0.0109673,
        0.0109673,
        0.0112795,
        0.0112795,
        0.0109673,
        0.0109647,
        0.0109647,
        0.0109673,
        0.0109673,
        0.0110181,
        0.0112795,
        0.0113425,
        0.0115166,
        0.0115173,
        0.0115173,
        0.0124252,
        0.0134192,
        0.0134937,
        0.0136695,
        0.0148476,
        0.0151026,
        0.0155481,
        0.0155481,
        0.0168525,
        0.0168525,
        0.0168525,
        0.0155481,
        0.0155481,
        0.0155481,
        0.0168525,
        0.0175878,
        0.017844,
        0.0193005,
        0.0194938,
        0.0194938,
        0.0194938,
        0.0194938,
        0.0194938,
        0.0194938,
        0.0194938,
        0.0193005,
        0.017844,
        0.0175878,
        0.0175878,
        0.0169502,
        0.0169502,
        0.0169502,
        0.0169502,
        0.0160038,
        0.015994,
        0.015994,
        0.015994,
        0.0154863,
        0.0152967,
        0.0150643,
        0.0144918,
        0.0143108,
        0.0143108,
        0.0143108,
        0.0120335,
        0.0120335,
        0.0120335,
        0.0120335,
        0.0120335,
        0.0120335,
        0.0120335,
        0.0120335,
        0.0120335,
        0.0120335,
        0.0127696,
        0.0118343,
        0.0105155,
        0.0105155,
        0.0105155,
        0.0105155,
        0.0104666,
        0.0104666,
        0.0104666,
        0.0105155,
        0.0104666,
        0.0101518,
        0.00922412,
        0.00898937,
        0.00804907,
        0.00898937,
        0.00898937,
        0.00922412,
        0.00982727,
        0.0101518,
        0.0125584,
        0.0127696,
        0.0127696,
        0.0127696,
        0.0127696,
        0.0125584,
        0.0101518,
        0.0106662,
        0.0106662,
        0.0113324,
        0.0113324,
        0.0113324,
        0.0125584,
        0.0130036,
        0.0130238,
        0.0130238,
        0.0130238,
        0.0136096,
        0.0137652,
        0.0137652,
        0.0143245,
        0.0143245,
        0.0143245,
        0.0149109,
        0.0160677,
        0.0164747,
        0.0164978,
        0.017211,
        0.017211,
        0.017211,
        0.0164978,
        0.0164747,
        0.0164747,
        0.0164747,
        0.0164747,
        0.0164747,
        0.0164747,
        0.0171342,
        0.017211,
        0.0172112,
        0.0172365,
        0.0172365,
        0.0174479,
        0.0174479,
        0.0179478,
        0.0179292,
        0.0174479,
        0.0172365,
        0.0172365,
        0.0172112,
        0.0171342,
        0.0172112,
        0.0172112,
        0.0172365,
        0.0174479,
        0.0179292,
        0.0176218,
        0.0176218,
        0.0172365,
        0.0172365,
        0.0172365,
        0.0172365,
        0.0172365,
        0.0172365,
        0.0172365,
        0.0168266,
        0.0172365,
        0.0176218,
        0.0179292,
        0.0176218,
        0.0169438,
        0.0169438,
        0.0169438,
        0.0169438,
        0.0169438,
        0.0169438,
        0.0169438,
        0.0169438,
        0.0176218,
        0.0176218,
        0.0176218,
        0.0178432,
        0.0178432,
        0.0181841,
        0.0181841,
        0.0181841,
        0.0181841,
        0.0182212,
        0.0182212,
        0.0203688,
        0.0205798,
        0.0217566,
        0.0217566,
        0.0229564,
        0.0239097,
        0.0252877,
        0.0257207,
        0.0271227,
        0.0257207,
        0.0257207,
        0.0257207,
        0.0257207,
        0.0257207,
        0.0273638,
        0.0273638,
        0.0257207,
        0.0273638,
        0.0277806,
        0.0278616,
        0.0281755,
        0.0293833,
        0.0293833,
        0.0297276,
        0.0293833,
        0.0297276,
        0.0297276,
        0.0297276,
        0.0293833,
        0.0293833,
        0.0293833,
        0.0293833,
        0.0293833,
        0.0293833,
        0.0293833,
        0.0278616,
        0.0277806,
        0.025507,
        0.0248813,
        0.0248813,
        0.025507,
        0.0277806,
        0.0277806,
        0.0277806,
        0.025507,
        0.0248813,
        0.0248813,
        0.0225377,
        0.0223917,
        0.0214146,
        0.0213557,
        0.0213557,
        0.0213557,
        0.0213557,
        0.0212803,
        0.0212803,
        0.0200004,
        0.0200004,
        0.0196464,
        0.0195319,
        0.0183225,
        0.0176316,
        0.017398,
        0.0173168,
        0.0172591,
        0.0172591,
        0.0172591,
        0.0173168,
        0.0172591,
        0.0172591,
        0.0172591,
        0.0172591,
        0.016985,
        0.0156707,
        0.0154588,
        0.0154588,
        0.0154588,
        0.0156707,
        0.0156707,
        0.0156707,
        0.0154712,
        0.0154712,
        0.0154712,
        0.0154712,
        0.0156707,
        0.0156707,
        0.0156707,
        0.0154712,
        0.0154588,
        0.0154712,
        0.0154712,
        0.0154712,
        0.0156707,
        0.0180928,
        0.0191872,
        0.0202165,
        0.0191872,
        0.0191872,
        0.0191872,
        0.0196986,
        0.0191872,
        0.0191872,
        0.0191872,
        0.0191872,
        0.0191872,
        0.0196986,
        0.0200359,
        0.0200359,
        0.0200359,
        0.0200359,
        0.0200359,
        0.0200359,
        0.0200359,
        0.0196986,
        0.0187203,
        0.0196986,
        0.0195188,
        0.0195188,
        0.0196986,
        0.0198207,
        0.0198207,
        0.0198207,
        0.0198207,
        0.0197259,
        0.0197259,
        0.0196986,
        0.0195188,
        0.0195188,
        0.0187203,
        0.0186495,
        0.0186495,
        0.0186495,
        0.0186348,
        0.0181151,
        0.0181151,
        0.0181151,
        0.0173423,
        0.0167799,
        0.0165799,
        0.0164224,
        0.0165799,
        0.0165799,
        0.0165799,
        0.0164224,
        0.0164224,
        0.0164224,
        0.0162353,
        0.0162313,
        0.0162313,
        0.0159809,
        0.0159809,
        0.0152541,
        0.0152541,
        0.0152541,
        0.0159438,
        0.0152541,
        0.0152541,
        0.0152541,
        0.0152541,
        0.0159438,
        0.0159438,
        0.0159438,
        0.0159438,
        0.0159438,
        0.0159809,
        0.0162537,
        0.0165799,
        0.0168511,
        0.0169217,
        0.0170121,
        0.0171625,
        0.0171625,
        0.0171625,
        0.0180024,
        0.0184632,
        0.0184816,
        0.0202322,
        0.0203169,
        0.0204809,
        0.0204809,
        0.0206785,
        0.0206785,
        0.0206785,
        0.0212799,
        0.0212799,
        0.0212799,
        0.0212799,
        0.0213366,
        0.0216194,
        0.0216194,
        0.0216194,
        0.0216194,
        0.0216194,
        0.0216194,
        0.0216194,
        0.0212799,
        0.0206785,
        0.0204809,
        0.0202578,
        0.0202322,
        0.019451,
        0.0184634,
        0.0182881,
        0.0182881,
        0.0175858,
        0.0167884,
        0.0161959,
        0.0161805,
        0.0159718,
        0.0136479,
        0.0135195,
        0.0133022,
        0.0135195,
        0.0135195,
        0.012665,
        0.0125862,
        0.0120542,
        0.0120542,
        0.0112152,
        0.0111673,
        0.0111673,
        0.0111653,
        0.0111653,
        0.0109206,
        0.010835,
        0.010835,
        0.0109206,
        0.0109206,
        0.010835,
        0.00964518,
        0.00964518,
        0.00964518,
        0.00964518,
        0.00964518,
        0.00964518,
        0.00993652,
        0.00993652,
        0.0103568,
        0.0109206,
        0.0109311,
        0.0111673,
        0.0112068,
        0.0120615,
        0.0120615,
        0.0136507,
        0.0138028,
        0.0157978,
        0.0167316,
        0.0167316,
        0.0167349,
        0.0167424,
        0.0175966,
        0.0192541,
        0.0200109,
        0.0226202,
        0.0226202,
        0.023387,
        0.02348,
        0.0244302,
        0.0246029,
        0.0260981,
        0.0263454,
        0.0263454,
        0.0263454,
        0.0260981,
        0.0257456,
        0.0257456,
        0.0260981,
        0.0263454,
        0.0263454,
        0.0265345,
        0.0265737,
        0.0269863,
        0.028784,
        0.0290742,
        0.0292034,
        0.0292034,
        0.0307086,
        0.0307086,
        0.0292034,
        0.0290742,
        0.028784,
        0.028784,
        0.028784,
        0.028784,
        0.028784,
        0.0289823,
        0.0289823,
        0.0289823,
        0.028784,
        0.0287326,
        0.0281233,
        0.0275624,
        0.0281233,
        0.0287326,
        0.0287326,
        0.0287326,
        0.0287326,
        0.0283301,
        0.0283301,
        0.0283301,
        0.0283301,
        0.0281233,
        0.0279508,
        0.0276382,
        0.0275851,
        0.0275851,
        0.0275851,
        0.0275624,
        0.0269888,
        0.0274238,
        0.0274238,
        0.0274238,
        0.0269888,
        0.0269618,
        0.0269413,
        0.0268765,
        0.0268373,
        0.0253833,
        0.0253833,
        0.0248447,
        0.0248111,
        0.0230043,
        0.0230043,
        0.0229964,
        0.0221513,
        0.0219359,
        0.0218916,
        0.0213158,
        0.0208486,
        0.0208254,
        0.0205691,
        0.0205691,
        0.0195863,
        0.0195863,
        0.0195863,
        0.0195863,
        0.019444,
        0.019444,
        0.0194056,
        0.0192123,
        0.0181046,
        0.0179587,
        0.0178666,
        0.0174762,
        0.0174762,
        0.0172619,
        0.0172619,
        0.0172619,
        0.0172619,
        0.0170381,
        0.0170381,
        0.0164583,
        0.0164583,
        0.0164583,
        0.0170381,
        0.0170381,
        0.0170381,
        0.0170381,
        0.0170381,
        0.0164583,
        0.0164583,
        0.0157537,
        0.0156545,
        0.0156545,
        0.0153056,
        0.0152441,
        0.0148471,
        0.0136296,
        0.0136296,
        0.0135585,
        0.0135585,
        0.0135585,
        0.0135585,
        0.0136296,
        0.0135585,
        0.0135585,
        0.0135585,
        0.0136296,
        0.0135585,
        0.0136296,
        0.0135585,
        0.0135585,
        0.0136296,
        0.0135585,
        0.0132384,
        0.0131144,
        0.0126558,
        0.0124524,
        0.0123364,
        0.0123364,
        0.0123364,
        0.0121578,
        0.0120356,
        0.0120356,
        0.0117691,
        0.0117691,
        0.0117025,
        0.0117025,
        0.0117691,
        0.0117025,
        0.0115527,
        0.0115527,
        0.0115527,
        0.0111032,
        0.0110564,
        0.0110564,
        0.0106258,
        0.0106258,
        0.0106258,
        0.0106258,
        0.0106258,
        0.0106258,
        0.0110564,
        0.0106258,
        0.0106258,
        0.0105517,
        0.0106258,
        0.0110564,
        0.0106258,
        0.0110564,
        0.0110564,
        0.0110564,
        0.0110564,
        0.0112112,
        0.0112413,
        0.0112413,
        0.0112413,
        0.0116851,
        0.0116851,
        0.0116851,
        0.0118676,
        0.0119109,
        0.0118676,
        0.0119109,
        0.0120454,
        0.0120454,
        0.0120454,
        0.0120454,
        0.0119109,
        0.0118676,
        0.0118168,
        0.0118168,
        0.0118168,
        0.0118168,
        0.0118676,
        0.0118168,
        0.0118676,
        0.0118676,
        0.0118168,
        0.0118168,
        0.0116851,
        0.0112413,
        0.0116949,
        0.0118168,
        0.0119109,
        0.0119109,
        0.0120454,
        0.0123604,
        0.0130689,
        0.0130689,
        0.0123604,
        0.0118168,
        0.0116949,
        0.0104056,
        0.00989022,
        0.00967307,
        0.00989022,
        0.0104056,
        0.0111781,
        0.0116949,
        0.0118236,
        0.0118236,
        0.0118236,
        0.0116949,
        0.0111781,
        0.0108832,
        0.0111781,
        0.0111781,
        0.0108832,
        0.0108832,
        0.0108832,
        0.0111781,
        0.0111781,
        0.0111781,
        0.0111781,
        0.0108832,
        0.0108832,
        0.0103754,
        0.0102883,
        0.0102606,
        0.0101542,
        0.0101542,
        0.0102606,
        0.0102883,
        0.0102883,
        0.0103754,
        0.0108832,
        0.0108832,
        0.0108832,
        0.0108832,
        0.0108832,
        0.0108832,
        0.0103754,
        0.0103754,
        0.0103754,
        0.0103754,
        0.0107043,
        0.0107043,
        0.0107043,
        0.0121093,
        0.0121236,
        0.0122235,
        0.0122235,
        0.0127998,
        0.0127998,
        0.0122235,
        0.0127998,
        0.0122235,
        0.0129801,
        0.0129801,
        0.0130076,
        0.0130076,
        0.0130076,
        0.0130076,
        0.0129801,
        0.0129801,
        0.0129801,
        0.0129801,
        0.0129801,
        0.0129801,
        0.0129801,
        0.0129801,
        0.0129801,
        0.0130357,
        0.0130805,
        0.0131148,
        0.0131902,
        0.0132723,
        0.013305,
        0.0132723,
        0.0132723,
        0.0131902,
        0.0131148,
        0.0130805,
        0.0130805,
        0.0130805,
        0.0131902,
        0.0132723,
        0.013305,
        0.0137837,
        0.0140899,
        0.0143477,
        0.0145892,
        0.014918,
        0.0152242,
        0.0152242,
        0.0153615,
        0.0152242,
        0.0152242,
        0.0153615,
        0.0153615,
        0.0153615,
        0.0153615,
        0.0152242,
        0.0151961,
        0.0152242,
        0.0151961,
        0.0152242,
        0.0152242,
        0.0152242,
        0.0152242,
        0.0152242,
        0.0152242,
        0.0152242,
        0.0152242,
        0.0151961,
        0.0151961,
        0.0151961,
        0.0151961,
        0.0151961,
        0.0155997,
        0.0155997,
        0.0151961,
        0.0150724,
        0.0147043,
        0.0146471,
        0.0146471,
        0.0142602,
        0.0142602,
        0.0142602,
        0.0142242,
        0.0141231,
        0.0142242,
        0.0142602,
        0.0146471,
        0.0147043,
        0.0147043,
        0.0147043,
        0.0147043,
        0.0147043,
        0.0142602,
        0.0142242,
        0.0142913,
        0.0142913,
        0.0142913,
        0.0142242,
        0.0142242,
        0.0142242,
        0.0142242,
        0.0141474,
        0.0137592,
        0.0137592,
        0.0137592,
        0.0137592,
        0.0136606,
        0.0136606,
        0.0136606,
        0.0136606,
        0.0137592,
        0.0137592,
        0.0141121,
        0.0141121,
        0.0141121,
        0.0141121,
        0.0137592,
        0.0136894,
        0.0136016,
        0.0125147,
        0.0122987,
        0.0120219,
        0.0112185,
        0.0112185,
        0.0112185,
        0.0112185,
        0.0112185,
        0.0114695,
        0.0116639,
        0.0114695,
        0.0112185,
        0.0110933,
        0.0110933,
        0.0110933,
        0.0110866,
        0.0110433,
        0.0110198,
        0.0110433,
        0.0110433,
        0.0110866,
        0.0110933,
        0.0110933,
        0.0112185,
        0.0112185,
        0.0110933,
        0.0110933,
        0.0110433,
        0.0110198,
        0.0110198,
        0.0110198,
        0.0110433,
        0.0114248,
        0.0114695,
        0.0114695,
        0.0114695,
        0.0114248,
        0.0110169,
        0.0110169,
        0.0110169,
        0.0110169,
        0.0114248,
        0.0114248,
        0.0114248,
        0.0114248,
        0.0114248,
        0.0114248,
        0.0115974,
        0.0115974,
        0.0115974,
        0.0115974,
        0.0115974,
        0.011945,
        0.0115974,
        0.0111762,
        0.0107566,
        0.0107566,
        0.0107566,
        0.0111762,
        0.0115974,
        0.0115974,
        0.0111762,
        0.0107566,
        0.0107147,
        0.0105935,
        0.0105935,
        0.0105935,
        0.0105935,
        0.0105935,
        0.0103878,
        0.010136,
        0.0100364,
        0.0100364,
        0.0100364,
        0.0100962,
        0.010136,
        0.010136,
        0.010136,
        0.010136,
        0.0105935,
        0.0105935,
        0.0105935,
        0.010136,
        0.0100962,
        0.010136,
        0.0105935,
        0.0107147,
        0.0112908,
        0.0107147,
        0.0105935,
        0.0100962,
        0.0100962,
        0.0100425,
        0.0100962,
        0.0100962,
        0.0100962,
        0.0100962,
        0.0100962,
        0.0105038,
        0.0105038,
        0.0105038,
        0.0112908,
        0.0113974,
        0.0114041,
        0.0113974,
        0.0112908,
        0.0107177,
        0.0106581,
        0.0105038,
        0.0105038,
        0.0100425,
        0.0097449,
        0.0097449,
        0.0097449,
        0.0100425,
        0.0100425,
        0.00978012,
        0.00978012,
        0.00978012,
        0.0100425,
        0.0102172,
        0.0102172,
        0.00978012,
        0.00978012,
        0.00970754,
        0.00970754,
        0.00970754,
        0.00970754,
        0.00978012,
        0.00970754,
        0.00944575,
        0.00978012,
        0.00978012,
        0.00978012,
        0.00978012,
        0.00944575,
        0.0087191,
        0.0087191,
        0.00842289,
        0.00842289,
        0.00815771,
        0.00815771,
        0.00815771,
        0.00815771,
        0.00815771,
        0.00815771,
        0.00815771,
        0.00772455,
        0.00772455,
        0.00772455,
        0.00772455,
        0.00772455,
        0.00815771,
        0.00944575,
        0.0101505,
        0.0101505,
        0.0101505,
        0.0101505,
        0.0101505,
        0.0091414,
        0.0091414,
        0.0091414,
        0.00815771,
        0.00750046,
        0.00750046,
        0.00750046,
        0.00815771,
        0.0091414,
        0.0101505,
        0.0101505,
        0.0101505,
        0.0101505,
        0.0101505,
        0.0101505,
        0.0101505,
        0.0102097,
        0.0102097,
        0.0102097,
        0.0105133,
        0.0106437,
        0.0106437,
        0.0106437,
        0.0106437,
        0.0106437,
        0.0106437,
        0.0106897,
        0.0109991,
        0.0109991,
        0.0111174,
        0.0116797,
        0.013164,
        0.0135203,
        0.0138037,
        0.0148109,
        0.0152515,
        0.0157215,
        0.0161216,
        0.0169718,
        0.0172235,
        0.0169718,
        0.0172235,
        0.0172235,
        0.0172235,
        0.0175572,
        0.0175572,
        0.0178461,
        0.0178461,
        0.0180599,
        0.0180599,
        0.0185856,
        0.0185856,
        0.0194526,
        0.0194526,
        0.0195014,
        0.0185856,
        0.0180599,
        0.0180599,
        0.0180599,
        0.0180599,
        0.0180599,
        0.0185856,
        0.0180599,
        0.0178461,
        0.0172235,
        0.0163041,
        0.0163006,
        0.0162014,
        0.0162014,
        0.0162014,
        0.015841,
        0.015841,
        0.0157958,
        0.0157958,
        0.015275,
        0.0148882,
        0.0148882,
        0.0145481,
        0.0145481,
        0.0145481,
        0.0145481,
        0.0142068,
        0.0140808,
        0.0137014,
        0.0124533,
        0.0123449,
        0.0123449,
        0.0117681,
        0.0117681,
        0.0123449,
        0.0117681,
        0.0117681,
        0.0117681,
        0.0116199,
        0.0116199,
        0.0116199,
        0.0116199,
        0.0116199,
        0.0116199,
        0.0116199,
        0.0116199,
        0.0116823,
        0.0116823,
        0.0116823,
        0.0123449,
        0.0128421,
        0.0149346,
        0.0152283,
        0.0153078,
        0.0153078,
        0.0153078,
        0.0153078,
        0.0165796,
        0.017092,
        0.017092,
        0.0175464,
        0.0175464,
        0.0177958,
        0.0178386,
        0.0185791,
        0.0183549,
        0.0185791,
        0.0188467,
        0.0188467,
        0.0188467,
        0.0185791,
        0.0183549,
        0.0188467,
        0.0188467,
        0.0188467,
        0.0188467,
        0.0188467,
        0.0200597,
        0.0200597,
        0.0202417,
        0.0202417,
        0.0202417,
        0.0200597,
        0.0188467,
        0.0183549,
        0.0183549,
        0.0183549,
        0.0183549,
        0.0183549,
        0.0183549,
        0.0183549,
        0.0166502,
        0.0166502,
        0.0166502,
        0.0166502,
        0.0166502,
        0.0166502,
        0.0166502,
        0.0141143,
        0.0141143,
        0.0166502,
        0.0171595,
        0.0176727,
        0.0171595,
        0.0176727,
        0.0176727,
        0.0176727,
        0.0176727,
        0.0176518,
        0.0176518,
        0.0171595,
        0.0151711,
        0.0151711,
        0.0171595,
        0.0176518,
        0.0176727,
        0.0178091,
        0.0182285,
        0.0182285,
        0.0182285,
        0.0182285,
        0.0184779,
        0.0184779,
        0.0185818,
        0.0185818,
        0.0184779,
        0.0182285,
        0.0182285,
        0.0184779,
        0.0185818,
        0.0186594,
        0.0185818,
        0.0185818,
        0.0182285,
        0.0185818,
        0.0182285,
        0.0182285,
        0.0182285,
        0.0180932,
        0.0180932,
        0.0180932,
        0.0180932,
        0.0180932,
        0.0168667,
        0.0166552,
        0.0165374,
        0.016266,
        0.0161538,
        0.0161538,
        0.0161538,
        0.0160388,
        0.0159572,
        0.0155231,
        0.0155231,
        0.0155231,
        0.0155231,
        0.0155231,
        0.0136541,
        0.0136541,
        0.0136541,
        0.0136541,
        0.0136541,
        0.0136541,
        0.0136541,
        0.0136541,
        0.0136541,
        0.0136541,
        0.0136541,
        0.0152622,
        0.0162293,
        0.0162293,
        0.0164801,
        0.0165374,
        0.0174141,
        0.0177369,
        0.0178674,
        0.0178674,
        0.0178674,
        0.0185625,
        0.0178674,
        0.0178674,
        0.0178674,
        0.0185625,
        0.0187849,
        0.0187849,
        0.0187849,
        0.0195118,
        0.0195118,
        0.0200424,
        0.0201398,
        0.0201398,
        0.0201398,
        0.0204984,
        0.0204984,
        0.0205563,
        0.0205563,
        0.0205563,
        0.0206,
        0.0206,
        0.0206,
        0.0206,
        0.0206,
        0.0206,
        0.0206,
        0.0206,
        0.0205563,
        0.0201398,
        0.0201398,
        0.0201398,
        0.0200424,
        0.0201398,
        0.0205563,
        0.0206,
        0.0218713,
        0.0217189,
        0.0217189,
        0.0217189,
        0.0217189,
        0.0205563,
        0.0205563,
        0.0217189,
        0.0205563,
        0.0199587,
        0.0199037,
        0.0199587,
        0.0199587,
        0.0217189,
        0.0199587,
        0.0199037,
        0.0199037,
        0.0188086,
        0.0178501,
        0.0178501,
        0.0172577,
        0.0169927,
        0.0169927,
        0.0169927,
        0.0172577,
        0.0178501,
        0.0188086,
        0.0194397,
        0.0194397,
        0.0194397,
        0.0188086,
        0.0179154,
        0.0178501,
        0.0178501,
        0.0179154,
        0.0179154,
        0.0194397,
        0.0194397,
        0.0194397,
        0.0194397,
        0.0201397,
        0.0220431,
        0.0220431,
        0.0201397,
        0.0201397,
        0.0220431,
        0.0220431,
        0.0226371,
        0.0228988,
        0.0235513,
        0.0258414,
        0.0258414,
        0.0258414,
        0.0267414,
        0.0267414,
        0.0258414,
        0.0258414,
        0.0243689,
        0.0243689,
        0.0243689,
        0.0243689,
        0.0243689,
        0.0258414,
        0.0258414,
        0.0243689,
        0.0237212,
        0.0237212,
        0.0226371,
        0.0222978,
        0.0207061,
        0.0205048,
        0.0195014,
        0.0189261,
        0.0182488,
        0.0182488,
        0.0172092,
        0.0171847,
        0.0170618,
        0.0159679,
        0.0159679,
        0.0159679,
        0.0159679,
        0.0159679,
        0.0159281,
        0.0159281,
        0.0159281,
        0.0159679,
        0.0159679,
        0.0170618,
        0.0171847,
        0.0180669,
        0.0180669,
        0.0180669,
        0.0180669,
        0.0180669,
        0.0171847,
        0.0180669,
        0.0180669,
        0.0181047,
        0.0181047,
        0.0181047,
        0.0194714,
        0.0198052,
        0.0225034,
        0.0225034,
        0.0225034,
        0.0225034,
        0.0225034,
        0.0225034,
        0.0226986,
        0.0225034,
        0.0198052,
        0.0194714,
        0.0194714,
        0.0194714,
        0.0194714,
        0.0194714,
        0.0188574,
        0.0194714,
        0.0194714,
        0.0194714,
        0.0188574,
        0.0185415,
        0.0185001,
        0.0181047,
        0.0181047,
        0.0181047,
        0.017943,
        0.0171298,
        0.0171298,
        0.0171298,
        0.0171298,
        0.0157413,
        0.0157413,
        0.0155318,
        0.0155318,
        0.0171298,
        0.0171298,
        0.0171298,
        0.0171298,
        0.0171298,
        0.0155318,
        0.0149351,
        0.0149351,
        0.0148111,
        0.0147946,
        0.0144263,
        0.0136481,
        0.0136481,
        0.0128031,
        0.0128031,
        0.0124983,
        0.0124983,
        0.0124983,
        0.0124983,
        0.0124983,
        0.0128031,
        0.0130353,
        0.0136481,
        0.0147946,
        0.0136481,
        0.0130353,
        0.0130353,
        0.0128031,
        0.0128031,
        0.0128031,
        0.0123368,
        0.0123368,
        0.0128031,
        0.0130353,
        0.0130353,
        0.0130353,
        0.0130353,
        0.0130353,
        0.0130353,
        0.0135249,
        0.0146508,
        0.0146508,
        0.0146508,
        0.0146508,
        0.0149101,
        0.0149101,
        0.0149101,
        0.0149101,
        0.0146508,
        0.0140187,
        0.0140187,
        0.0135249,
        0.0129389,
        0.0127641,
        0.0123368,
        0.0127641,
        0.0129389,
        0.0134939,
        0.0134967,
        0.0134939,
        0.0134939,
        0.0134967,
        0.0134939,
        0.0129389,
        0.0129389,
        0.0134939,
        0.0127641,
        0.0127641,
        0.0127641,
        0.0134939,
        0.0132192,
        0.0127641,
        0.0127641,
        0.0121555,
        0.0113468,
        0.011199,
        0.0107229,
        0.00943286,
        0.00908839,
        0.00943286,
        0.00943286,
        0.00943286,
        0.0100266,
        0.0107229,
        0.0107229,
        0.0113468,
        0.0113468,
        0.0100266,
        0.0100266,
        0.0100266,
        0.0100266,
        0.0100266,
        0.0100266,
        0.0115212,
        0.0120865,
        0.0115212,
        0.0115212,
        0.0116884,
        0.0116884,
        0.0120865,
        0.0120865,
        0.0120865,
        0.0128202,
        0.0129525,
        0.0130657,
        0.0130657,
        0.0138437,
        0.0138437,
        0.0146464,
        0.0146464,
        0.0146464,
        0.0146464,
        0.0146464,
        0.0146464,
        0.0139775,
        0.0146464,
        0.0146464,
        0.0146464,
        0.0150104,
        0.016318,
        0.0166775,
        0.0163779,
        0.016318,
        0.0150104,
        0.0156014,
        0.0156014,
        0.0156014,
        0.0163147,
        0.016318,
        0.016318,
        0.016318,
        0.0163147,
        0.0163147,
        0.0156014,
        0.0156014,
        0.0156014,
        0.0156014,
        0.0150104,
        0.0150104,
        0.0139775,
        0.0139775,
        0.0156014,
        0.0163147,
        0.0163779,
        0.01668,
        0.0170081,
        0.0170081,
        0.0170081,
        0.01668,
        0.0163779,
        0.0163147,
        0.0156014,
        0.0136376,
        0.0136376,
        0.0136376,
        0.0131261,
        0.0131261,
        0.0136376,
        0.0131261,
        0.0131261,
        0.0131261,
        0.0129907,
        0.012922,
        0.012922,
        0.0128131,
        0.0124662,
        0.0124662,
        0.0128131,
        0.0128131,
        0.0128131,
        0.0124662,
        0.0125522,
        0.0125522,
        0.0124662,
        0.0124432,
        0.0122075,
        0.0119434,
        0.0119434,
        0.0119434,
        0.0119434,
        0.0122075,
        0.0124432,
        0.0124432,
        0.0124432,
        0.0122075,
        0.0122075,
        0.0109429,
        0.0109429,
        0.0108966,
        0.00997682,
        0.00992137,
        0.00974669,
        0.00974669,
        0.00982012,
        0.00982012,
        0.00982012,
        0.00997682,
        0.0108966,
        0.0108966,
        0.0109429,
        0.0108966,
        0.0108966,
        0.0108966,
        0.0108966,
        0.0115259,
        0.0115259,
        0.0125181,
        0.0125181,
        0.0119567,
        0.0119567,
        0.0118785,
        0.0118785,
        0.0118785,
        0.0118785,
        0.0119567,
        0.0119567,
        0.0125181,
        0.0125398,
        0.0125398,
        0.0132599,
        0.0137654,
        0.0140486,
        0.0151339,
        0.0151339,
        0.0140486,
        0.0137654,
        0.0132599,
        0.0125398,
        0.0128055,
        0.0132599,
        0.0128055,
        0.0132599,
        0.0137654,
        0.0137654,
        0.0137654,
        0.0132599,
        0.0137654,
        0.0146088,
        0.0146893,
        0.0151339,
        0.0151339,
        0.0155433,
        0.0155433,
        0.0155433,
        0.0155433,
        0.0151339,
        0.0151339,
        0.0150805,
        0.0146893,
        0.0146088,
        0.0146088,
        0.0146088,
        0.0146088,
        0.0146088,
        0.0146088,
        0.0146088,
        0.0146088,
        0.0146893,
        0.0150805,
        0.0155433,
        0.0155433,
        0.0155433,
        0.0150805,
        0.0146893,
        0.0146893,
        0.0150805,
        0.0154667,
        0.0150805,
        0.0142171,
        0.0128392,
        0.0125377,
        0.0125296,
        0.0124563,
        0.0124886,
        0.0124886,
        0.0125296,
        0.0125296,
        0.0125296,
        0.0128392,
        0.0128392,
        0.0133581,
        0.0128392,
        0.0128392,
        0.0128392,
        0.0125296,
        0.0125296,
        0.0125296,
        0.0125296,
        0.0124886,
        0.0124563,
        0.0124563,
        0.0124886,
        0.0124886,
        0.0124886,
        0.0124886,
        0.0123244,
        0.0117998,
        0.0117998,
        0.0123244,
        0.0124886,
        0.0130169,
        0.0130169,
        0.0130169,
        0.0130169,
        0.0133581,
        0.0133581,
        0.0130169,
        0.0128355,
        0.0123244,
        0.0120239,
        0.0120239,
        0.0120239,
        0.0120239,
        0.0120239,
        0.0120239,
        0.0127017,
        0.0127017,
        0.0127017,
        0.0127017,
        0.0127017,
        0.0128355,
        0.0127017,
        0.0124465,
        0.0124465,
        0.0120492,
        0.0120492,
        0.0124465,
        0.0127017,
        0.0127017,
        0.0127017,
        0.0124465,
        0.0124465,
        0.0124465,
        0.0124465,
        0.0124465,
        0.0120492,
        0.0120239,
        0.0120239,
        0.0120239,
        0.0120492,
        0.0124465,
        0.0126317,
        0.0124465,
        0.0124465,
        0.0124465,
        0.0120492,
        0.0120492,
        0.0124465,
        0.0126317,
        0.0136197,
        0.0136197,
        0.0126317,
        0.0136197,
        0.0136197,
        0.0130547,
        0.0130547,
        0.0126317,
        0.0114358,
        0.0111828,
        0.0111828,
        0.0111828,
        0.0114358,
        0.0114358,
        0.0126317,
        0.0130547,
        0.0134213,
        0.0136197,
        0.0137283,
        0.0137283,
        0.0137283,
        0.0137283,
        0.0137283,
        0.0134213,
        0.0134213,
        0.0130547,
        0.0130547,
        0.0134213,
        0.0134213,
        0.0130547,
        0.0120558,
        0.0120558,
        0.0130547,
        0.0134213,
        0.0131218,
        0.0134213,
        0.0135164,
        0.0142022,
        0.0142022,
        0.0142022,
        0.0142022,
        0.0142022,
        0.0142022,
        0.0135164,
        0.0134213,
        0.0132462,
        0.0131218,
        0.0131218,
        0.0131218,
        0.0131218,
        0.0132462,
        0.0135164,
        0.0150482,
        0.0151555,
        0.0162974,
        0.0162974,
        0.0162974,
        0.0151555,
        0.0150482,
        0.0150482,
        0.0150482,
        0.0150482,
        0.0132462,
        0.0131218,
        0.0131218,
        0.0125362,
        0.0125362,
        0.0125362,
        0.0125362,
        0.0125362,
        0.0127805,
        0.0125362,
        0.0100024,
        0.0100024,
        0.0125362,
        0.0127805,
        0.0131491,
        0.0131491,
        0.0127805,
        0.0125362,
        0.0125362,
        0.0125362,
        0.0125362,
        0.0107899,
        0.010562,
        0.010562,
        0.0107899,
        0.0125362,
        0.0127805,
        0.0127805,
        0.0127805,
        0.0131491,
        0.0135394,
        0.0135394,
        0.0139861,
        0.0139861,
        0.0139861,
        0.0135394,
        0.0135394,
        0.0133479,
        0.0133479,
        0.0133479,
        0.0135394,
        0.0139861,
        0.0139861,
        0.0135394,
        0.0133479,
        0.0119949,
        0.0119949,
        0.0119949,
        0.0119949,
        0.0116195,
        0.0106048,
        0.0105667,
        0.0105667,
        0.0106048,
        0.0106048,
        0.0106048,
        0.0106048,
        0.0106048,
        0.0116195,
        0.0116195,
        0.0110978,
        0.0110978,
        0.0116195,
        0.0116195,
        0.0119162,
        0.0119949,
        0.0125117,
        0.0126343,
        0.0126343,
        0.0128219,
        0.0126343,
        0.0125117,
        0.0125117,
        0.0122395,
        0.0125117,
        0.0126343,
        0.0128042,
        0.0128219,
        0.0128219,
        0.0137849,
        0.0139584,
        0.0139584,
        0.0139584,
        0.0139584,
        0.0139584,
        0.0139584,
        0.0139584,
        0.0139584,
        0.0139584,
        0.0139584,
        0.0139584,
        0.0139584,
        0.01471,
        0.0147466,
        0.0147466,
        0.01471,
        0.0128042,
        0.0128042,
        0.0122395,
        0.0122395,
        0.0111891,
        0.0122395,
        0.0128042,
        0.0131002,
        0.0131002,
        0.0111891,
        0.0111422,
        0.011061,
        0.011061,
        0.0111422,
        0.0111422,
        0.0111422,
        0.0111891,
        0.0111891,
        0.0111891,
        0.0111891,
        0.0111891,
        0.0111891,
        0.0111891,
        0.0111891,
        0.0111891,
        0.0111891,
        0.0111891,
        0.0111422,
        0.0111422,
        0.0111422,
        0.0111891,
        0.0112925,
        0.0123341,
        0.0125335,
        0.0125335,
        0.0125335,
        0.0123341,
        0.0112925,
        0.0109914,
        0.0111575,
        0.0111575,
        0.0111575,
        0.0112925,
        0.0111575,
        0.0111575,
        0.0111575,
        0.0111575,
        0.0111575,
        0.0112925,
        0.0125335,
        0.0125699,
        0.0126005,
        0.0126005,
        0.0125699,
        0.012357,
        0.012357,
        0.012357,
        0.0125699,
        0.0126005,
        0.0130871,
        0.0130871,
        0.0130871,
        0.0126758,
        0.0126005,
        0.0125699,
        0.0125699,
        0.0125699,
        0.0126005,
        0.0126758,
        0.0127666,
        0.0130871,
        0.0134166,
        0.0139555,
        0.0139555,
        0.0142253,
        0.0142253,
        0.0142253,
        0.0139555,
        0.0130871,
        0.0127666,
        0.0127666,
        0.0127666,
        0.0127666,
        0.0127666,
        0.0127666,
        0.0130214,
        0.0130214,
        0.0130214,
        0.0130214,
        0.0130214,
        0.0127666,
        0.0126758,
        0.0121899,
        0.0114248,
        0.0114248,
        0.0114248,
        0.0114248,
        0.0120751,
        0.0113831,
        0.0105714,
        0.0105136,
        0.00984036,
        0.00984036,
        0.00984036,
        0.00984036,
        0.00972666,
        0.00984036,
        0.0105136,
        0.0105136,
        0.0105136,
        0.00984036,
        0.00972666,
        0.00972666,
        0.00963264,
        0.00963264,
        0.00963264,
        0.00956901,
        0.00956901,
        0.00929447,
        0.00929447,
        0.00929447,
        0.00929447,
        0.00956901,
        0.00956901,
        0.0102324,
        0.0103126,
        0.0105136,
        0.0103126,
        0.0102324,
        0.00975282,
        0.00956901,
        0.00929447,
        0.00975282,
        0.00944552,
        0.00929447,
        0.00929447,
        0.00944552,
        0.00944552,
        0.00944552,
        0.00957077,
        0.00957077,
        0.00957077,
        0.00957077,
        0.00957077,
        0.00975282,
        0.0102324,
        0.0103126,
        0.0111023,
        0.0112487,
        0.0113784,
        0.0114723,
        0.0115364,
        0.0115364,
        0.0133494,
        0.0133494,
        0.0115364,
        0.0114723,
        0.0113784,
        0.0113784,
        0.0113784,
        0.0114723,
        0.0115364,
        0.0133494,
        0.0115364,
        0.0115364,
        0.0115364,
        0.0115364,
        0.0114723,
        0.0114723,
        0.0114723,
        0.0111078,
        0.0111078,
        0.0115364,
        0.0115364,
        0.0111078,
        0.010779,
        0.010779,
        0.010779,
        0.0102735,
        0.0102735,
        0.0100658,
        0.0100658,
        0.00963006,
        0.00963006,
        0.00963006,
        0.00884999,
        0.00963006,
        0.00963006,
        0.00963006,
        0.00963006,
        0.00968376,
        0.00968376,
        0.00968376,
        0.00968376,
        0.00968376,
        0.0100658,
        0.0100658,
        0.00968376,
        0.00968376,
        0.00968376,
        0.00989906,
        0.0100658,
        0.0100658,
        0.0100113,
        0.0100113,
        0.0100113,
        0.0100113,
        0.0100113,
        0.00989906,
        0.00968376,
        0.00934092,
        0.00968376,
        0.00968376,
        0.00968376,
        0.00989906,
        0.00934092,
        0.00989906,
        0.00934092,
        0.00934092,
        0.00934092,
        0.00914049,
        0.00892209,
        0.00892209,
        0.00829293,
        0.00823718,
        0.00823718,
        0.0078781,
        0.00823718,
        0.00829293,
        0.00829293,
        0.00892209,
        0.00829293,
        0.00829293,
        0.00829293,
        0.00829293,
        0.00829293,
        0.00829293,
        0.00833291,
        0.00829293,
        0.00833291,
        0.00833291,
        0.00833291,
        0.00833291,
        0.00833291,
        0.00892209,
        0.00833291,
        0.00892209,
        0.00892209,
        0.00904208,
        0.00940505,
        0.0101862,
        0.0102736,
        0.0102965,
        0.0102965,
        0.0102965,
        0.0104673,
        0.0104673,
        0.0104673,
        0.0102965,
        0.0102965,
        0.0102965,
        0.0104673,
        0.0104806,
        0.0104673,
        0.0104806,
        0.0108238,
        0.0108238,
        0.0108238,
        0.0104806,
        0.0115431,
        0.0115431,
        0.0115431,
        0.0110655,
        0.0110655,
        0.0110655,
        0.0104806,
        0.0110655,
        0.0110655,
        0.0104806,
        0.0104673,
        0.00976495,
        0.00875835,
        0.00875835,
        0.00875835,
        0.00875835,
        0.00875835,
        0.00866079,
        0.00821844,
        0.00821844,
        0.00875835,
        0.00821844,
        0.00875835,
        0.00821844,
        0.00821844,
        0.00875835,
        0.00821844,
        0.00821844,
        0.00821844,
        0.00821844,
        0.00818202,
        0.00818202,
        0.00816013,
        0.00816013,
        0.00816013,
        0.00814972,
        0.00814972,
        0.00814972,
        0.00761537,
        0.00761537,
        0.00814972,
        0.00827856,
        0.00846899,
        0.00853235,
        0.00846899,
        0.00846899,
        0.00853235,
        0.0089562,
        0.00920559,
        0.00920559,
        0.00920559,
        0.00920559,
        0.00921425,
        0.00921425,
        0.0092495,
        0.00921425,
        0.00920559,
        0.00921425,
        0.00921425,
        0.00935302,
        0.0101269,
        0.0101269,
        0.00935302,
        0.0101269,
        0.0101269,
        0.0101275,
        0.0102191,
        0.0102191,
        0.0102191,
        0.0102191,
        0.0102706,
        0.0102706,
        0.0102191,
        0.0102706,
        0.0103066,
        0.0105002,
        0.0105002,
        0.010602,
        0.0106883,
        0.0106883,
        0.0108566,
        0.0109529,
        0.0118044,
        0.0118044,
        0.0109529,
        0.0118044,
        0.0123486,
        0.0123973,
        0.0123973,
        0.0123973,
        0.0125682,
        0.0126875,
        0.0126875,
        0.0126875,
        0.0125682,
        0.0123973,
        0.0123973,
        0.0123973,
        0.0123973,
        0.0123973,
        0.0123973,
        0.0125682,
        0.0132287,
        0.0133779,
        0.0133779,
        0.0135117,
        0.0135117,
        0.0135117,
        0.0136125,
        0.0135117,
        0.0133779,
        0.0133779,
        0.0125682,
        0.0125682,
        0.0125682,
        0.0133779,
        0.0133779,
        0.0137761,
        0.0125682,
        0.0134921,
        0.0137761,
        0.0146747,
        0.0146679,
        0.0146747,
        0.0146747,
        0.0148147,
        0.0148147,
        0.0148147,
        0.015061,
        0.015061,
        0.015061,
        0.015061,
        0.0148147,
        0.0146747,
        0.0146679,
        0.0144656,
        0.0138322,
        0.0138322,
        0.0138322,
        0.0134921,
        0.0134921,
        0.0134921,
        0.0134169,
        0.0134169,
        0.0134169,
        0.0134169,
        0.0129039,
        0.0129039,
        0.0129039,
        0.0134169,
        0.0129039,
        0.0123947,
        0.0118108,
        0.0116943,
        0.0116943,
        0.0118108,
        0.0118108,
        0.0118108,
        0.0118108,
        0.0118108,
        0.0123947,
        0.0123947,
        0.0123947,
        0.0129039,
        0.0139102,
        0.0139102,
        0.0139102,
        0.0142146,
        0.0139102,
        0.0139102,
        0.0142146,
        0.0142146,
        0.0142146,
        0.0149382,
        0.0163094,
        0.0164253,
        0.0166076,
        0.0178818,
        0.0166076,
        0.0166076,
        0.0166076,
        0.0178818,
        0.0178818,
        0.0178818,
        0.0178818,
        0.0188069,
        0.0178818,
        0.0178818,
        0.0164253,
        0.0163094,
        0.0157006,
        0.0154372,
        0.0149382,
        0.014456,
        0.0133874,
        0.0123764,
        0.0133874,
        0.0137321,
        0.0137321,
        0.014456,
        0.0137321,
        0.0137321,
        0.0137321,
        0.0137321,
        0.0133874,
        0.0123764,
        0.0123764,
        0.0122734,
        0.0106729,
        0.0106729,
        0.0106729,
        0.0102381,
        0.0101364,
        0.0102381,
        0.0102381,
        0.0101364,
        0.00997666,
        0.0101364,
        0.0101364,
        0.00997666,
        0.00997666,
        0.00997666,
        0.00997666,
        0.00997666,
        0.00997666,
        0.0102381,
        0.0106729,
        0.0102381,
        0.0102381,
        0.0102381,
        0.0102381,
        0.0106729,
        0.0106729,
        0.0113562,
        0.0113562,
        0.0113562,
        0.0113562,
        0.0113562,
        0.0113562,
        0.0113562,
        0.0113562,
        0.0113562,
        0.0113562,
        0.0113562,
        0.0107281,
        0.0106805,
        0.0107281,
        0.0113562,
        0.0113562,
        0.0107281,
        0.0111054,
        0.0107281,
        0.0106805,
        0.0106805,
        0.0107281,
        0.0107281,
        0.0106805,
        0.00998747,
        0.00998747,
        0.00971043,
        0.00918769,
        0.00918374,
        0.00918374,
        0.00918374,
        0.00918374,
        0.00918769,
        0.00971043,
        0.00998747,
        0.00998747,
        0.00998747,
        0.00998747,
        0.0106023,
        0.0106023,
        0.00998747,
        0.00998747,
        0.00971043,
        0.00971043,
        0.00918374,
        0.00900641,
        0.00868029,
        0.00868029,
        0.00868029,
        0.00851583,
        0.00851583,
        0.00838276,
        0.00838276,
        0.00851583,
        0.00868029,
        0.00900641,
        0.0091058,
        0.0091058,
        0.0091058,
        0.0091058,
        0.0091058,
        0.0091058,
        0.00868029,
        0.00850655,
        0.00838276,
        0.00834317,
        0.00807678,
        0.00742641,
        0.00687077,
        0.00677927,
        0.00687077,
        0.00687077,
        0.00742641,
        0.00742641,
        0.00742641,
        0.00742641,
        0.00687077,
        0.00742641,
        0.00742641,
        0.00742641,
        0.00761545,
        0.0083432,
        0.0083432,
        0.00814698,
        0.00809025,
        0.00809025,
        0.00809025,
        0.00809025,
        0.00809025,
        0.00814698,
        0.00814698,
        0.00809025,
        0.00809025,
        0.00814698,
        0.0083432,
        0.0083432,
        0.0083432,
        0.00848589,
        0.00891,
        0.00898184,
        0.00933534,
        0.0094968,
        0.0094968,
        0.0094968,
        0.0104486,
        0.0105964,
        0.0108792,
        0.0110913,
        0.012377,
        0.0124739,
        0.0124739,
        0.0131343,
        0.0133969,
        0.0171792,
        0.0208449,
        0.0282067,
        0.0282067,
        0.0282067,
        0.0282067,
        0.0282067,
        0.0282067,
        0.0284187,
        0.0286036,
        0.028782,
        0.0301531,
        0.0301531,
        0.0301531,
        0.0301531,
        0.0301531,
        0.0301531,
        0.0301531,
        0.028782,
        0.0286036,
        0.0282067,
        0.0186268,
        0.0186268,
        0.0185233,
        0.0178829,
        0.0178829,
        0.0173915,
        0.0166519,
        0.0155367,
        0.0140393,
        0.0140364,
        0.0122429,
        0.0117828,
        0.0117454,
        0.0117454,
        0.0116632,
        0.0107555,
        0.0116632,
        0.0116632,
        0.0116632,
        0.0116632,
        0.0116632,
        0.0116632,
        0.0116632,
        0.0117454,
        0.0117828,
        0.0122429,
        0.0130508,
        0.0140364,
        0.0140364,
        0.0140364,
        0.0140393,
        0.0140393,
        0.0140364,
        0.0130508,
        0.0130508,
        0.0130508,
        0.0130508,
        0.014714,
        0.0150176,
        0.0155311,
        0.0158373,
        0.0167766,
        0.0167766,
        0.0173605,
        0.0184116,
        0.018436,
        0.0199501,
        0.0203926,
        0.020415,
        0.0222353,
        0.0210923,
        0.020415,
        0.020415,
        0.0203926,
        0.0203926,
        0.020415,
        0.020415,
        0.0210923,
        0.0212775,
        0.0212775,
        0.0227693,
        0.0239584,
        0.0241981,
        0.0279159,
        0.0279159,
        0.0279159,
        0.0279159,
        0.0279159,
        0.0279159,
        0.0266704,
        0.0260995,
        0.0241981,
        0.0241375,
        0.0241375,
        0.0241375,
        0.0241981,
        0.0260995,
        0.0241681,
        0.0241375,
        0.0239584,
        0.0234292,
        0.0234292,
        0.0234292,
        0.0234292,
        0.0239584,
        0.0241375,
        0.0241681,
        0.0260995,
        0.0266704,
        0.0266704,
        0.0260995,
        0.0255447,
        0.0241681,
        0.0241375,
        0.0234292,
        0.0234292,
        0.0232474,
        0.0232474,
        0.0219026,
        0.0219026,
        0.0219026,
        0.0232474,
        0.0241681,
        0.0255447,
        0.0255447,
        0.0241681,
        0.0232474,
        0.0230329,
        0.0217409,
        0.0192092,
        0.0192092,
        0.0217409,
        0.0227741,
        0.0230329,
        0.0230329,
        0.0230329,
        0.0230329,
        0.0230329,
        0.0230329,
        0.0230329,
        0.0230329,
        0.0227741,
        0.0227741,
        0.0227741,
        0.0230329,
        0.0236998,
        0.0238423,
        0.0243738,
        0.0272077,
        0.0309582,
        0.0314494,
        0.0331836,
        0.0331836,
        0.0331836,
        0.0243738,
        0.0273431,
        0.0273431,
        0.0273431,
        0.0273431,
        0.0273431,
        0.0273431,
        0.0331836,
        0.037169,
        0.0366435,
        0.0331836,
        0.0324043,
        0.0273431,
        0.0243738,
        0.0238423,
        0.0238423,
        0.0236998,
        0.0222689,
        0.0222689,
        0.0222689,
        0.0238423,
        0.0273431,
        0.0273431,
        0.0273431,
        0.0273431,
        0.0222689,
        0.02148,
        0.0213285,
        0.0209273,
        0.0197674,
        0.0197674,
        0.0194325,
        0.0187447,
        0.0194325,
        0.0197674,
        0.0209273,
        0.0213285,
        0.0213285,
        0.0197674,
        0.0194325,
        0.0178867,
        0.0178867,
        0.0178867,
        0.0185237,
        0.0194325,
        0.0194325,
        0.0185237,
        0.0194325,
        0.0209404,
        0.020945,
        0.0213285,
        0.0213285,
        0.0213285,
        0.0213274,
        0.020945,
        0.0209404,
        0.0202545,
        0.0202545,
        0.0202545,
        0.0202545,
        0.0209404,
        0.020945,
        0.0213274,
        0.0215847,
        0.0215847,
        0.0215847,
        0.0215847,
        0.0215847,
        0.0213274,
        0.0213274,
        0.0213274,
        0.0213274,
        0.020945,
        0.0209404,
        0.0213274,
        0.0242615,
        0.0247952,
        0.026297,
        0.026297,
        0.0247952,
        0.0247128,
        0.0242615,
        0.0213274,
        0.0213274,
        0.0242615,
        0.0242615,
        0.0242615,
        0.0242615,
        0.0242615,
        0.0242615,
        0.0247128,
        0.0247128,
        0.0247128,
        0.0247128,
        0.0242615,
        0.0207046,
        0.0184003,
        0.0177255,
        0.0168895,
        0.0174554,
        0.0177255,
        0.0184003,
        0.0184931,
        0.0207046,
        0.0216796,
        0.0216796,
        0.0216796,
        0.0216796,
        0.0207046,
        0.0184931,
        0.0184003,
        0.0184003,
        0.0184003,
        0.0174554,
        0.0168895,
        0.0168895,
        0.0174554,
        0.0184003,
        0.0184931,
        0.019915,
        0.0209496,
        0.019915,
        0.0197809,
        0.0184931,
        0.0184003,
        0.0174554,
        0.0184931,
        0.0197809,
        0.0197809,
        0.0197809,
        0.0197809,
        0.0197809,
        0.0169288,
        0.0169288,
        0.0169288,
        0.0169288,
        0.0158855,
        0.0158855,
        0.0152295,
        0.0145729,
        0.0145729,
        0.0152295,
        0.0169288,
        0.017385,
        0.017385,
        0.0186778,
        0.0186778,
        0.0186778,
        0.0186778,
        0.0186778,
        0.0186778,
        0.017385,
        0.0169288,
        0.0169288,
        0.0169288,
        0.0169288,
        0.0169288,
        0.0162078,
        0.0159398,
        0.0162078,
        0.0169288,
        0.017385,
        0.0186778,
        0.0187189,
        0.0187189,
        0.0186778,
        0.017385,
        0.017385,
        0.0162078,
        0.0162078,
        0.0162078,
        0.0162078,
        0.0159398,
        0.0159398,
        0.0159398,
        0.0162078,
        0.0162078,
        0.0162078,
        0.0162078,
        0.0159398,
        0.0151368,
        0.0146928,
        0.0146928,
        0.0151368,
        0.0162078,
        0.0181747,
        0.0181747,
        0.0181747,
        0.0186021,
        0.0202668,
        0.0202668,
        0.0202668,
        0.0202668,
        0.0186021,
        0.0181747,
        0.017191,
        0.0181747,
        0.0186021,
        0.0202668,
        0.0202668,
        0.0202668,
        0.0202668,
        0.0202668,
        0.0203094,
        0.0202668,
        0.0202668,
        0.0202668,
        0.0202668,
        0.0202242,
        0.0202242,
        0.0202242,
        0.0202242,
        0.0202668,
        0.0203094,
        0.0203094,
        0.0202242,
        0.0202242,
        0.0203094,
        0.0211934,
        0.0211934,
        0.0212664,
        0.0212664,
        0.0212664,
        0.0211934,
        0.0211934,
        0.0211934,
        0.0212664,
        0.023681,
        0.0232385,
        0.0212664,
        0.0212664,
        0.0212664,
        0.0229891,
        0.0230969,
        0.0230969,
        0.0232385,
        0.0232385,
        0.0232385,
        0.0230969,
        0.0230969,
        0.0230969,
        0.0230969,
        0.0232385,
        0.0230969,
        0.0229891,
        0.0227469,
        0.0227469,
        0.0229891,
        0.0229891,
        0.0229891,
        0.0229891,
        0.0227469,
        0.0217153,
        0.0210891,
        0.0210891,
        0.0210891,
        0.0217153,
        0.0217153,
        0.0210891,
        0.0196283,
        0.0196283,
        0.0196283,
        0.0210891,
        0.0210891,
        0.0210891,
        0.0210891,
        0.0196283,
        0.0189646,
        0.0194148,
        0.0196283,
        0.0210891,
        0.0210891,
        0.0210891,
        0.0196283,
        0.0196283,
        0.0196283,
        0.0196283,
        0.0210891,
        0.0210891,
        0.0210891,
        0.0196283,
        0.0194148,
        0.0193224,
        0.0193224,
        0.0194148,
        0.0196283,
        0.0225566,
        0.0225566,
        0.0194148,
        0.0194148,
        0.0194148,
        0.0194148,
        0.0225566,
        0.0225566,
        0.0225566,
        0.0194148,
        0.0193224,
        0.0194148,
        0.0225566,
        0.0227549,
        0.0227549,
        0.0227549,
        0.0227549,
        0.0225566,
        0.0225566,
        0.0225566,
        0.0225566,
        0.0226778,
        0.0226778,
        0.0225566,
        0.0212105,
        0.0212105,
        0.0212105,
        0.0224109,
        0.0225566,
        0.0226778,
        0.0226778,
        0.0226778,
        0.0224109,
        0.0224109,
        0.0224109,
        0.0226778,
        0.0227549,
        0.0227549,
        0.0226778,
        0.0224109,
        0.0224109,
        0.0224109,
        0.0224109,
        0.0224109,
        0.0224109,
        0.0218672,
        0.0212105,
        0.0204495,
        0.0204495,
        0.0204495,
        0.0204495,
        0.0212105,
        0.0204495,
        0.0199765,
        0.018392,
        0.018392,
        0.018392,
        0.0199765,
        0.0199765,
        0.0199765,
        0.0199765,
        0.0196106,
        0.018392,
        0.0178091,
        0.0178091,
        0.018392,
        0.018392,
        0.017917,
        0.0178091,
        0.0178091,
        0.0178091,
        0.017917,
        0.018392,
        0.018392,
        0.018392,
        0.018392,
        0.0182083,
        0.0182083,
        0.0182083,
        0.0182083,
        0.0182083,
        0.0196106,
        0.0196106,
        0.0192788,
        0.0192788,
        0.0192788,
        0.0192788,
        0.0196106,
        0.0196106,
        0.0196106,
        0.0196106,
        0.0196106,
        0.0192788,
        0.0192788,
        0.0192788,
        0.0204668,
        0.0204668,
        0.0204668,
        0.0204668,
        0.0204668,
        0.0204668,
        0.0207622,
        0.0207622,
        0.0207622,
        0.0207622,
        0.0207622,
        0.0207622,
        0.0209804,
        0.0209804,
        0.0209804,
        0.0209804,
        0.0209859,
        0.0209859,
        0.0209859,
        0.0209859,
        0.0209859,
        0.0213825,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218281,
        0.0218847,
        0.0218847,
        0.0218847,
        0.0218847,
        0.0218847,
        0.0218847,
        0.0232174,
        0.0232174,
        0.0232174,
        0.0232174,
        0.0232174,
        0.0233179,
        0.023335,
        0.023335,
        0.023335,
        0.023335,
        0.023335,
        0.023335,
        0.023335,
        0.023335,
        0.023335,
        0.023335,
        0.023335,
        0.023335,
        0.023335,
        0.0242239,
        0.0244944,
        0.0247597,
        0.0248418,
        0.0248418,
        0.0248418,
        0.0248418,
        0.0248418,
        0.0248418,
        0.0248418,
        0.0248418,
        0.0247597,
        0.0247597,
        0.0247597,
        0.0247597,
        0.0247597,
        0.0247597,
        0.0247597,
        0.0247597,
        0.0248418,
        0.0248418,
        0.0248418,
        0.0248418,
        0.0247597,
        0.0247597,
        0.0247597,
        0.0247597,
        0.0247597,
        0.0247597,
        0.0247597,
        0.0247597,
        0.0248418,
        0.0242313,
        0.0242313,
        0.0242313,
        0.0266007,
        0.0266007,
        0.0266007,
        0.0242313,
        0.0221276,
        0.0221276,
        0.0221276,
        0.0242313,
        0.0242313,
        0.0242313,
        0.0242313,
        0.0242313,
        0.0211245,
        0.0211245,
        0.0211245,
        0.0211245,
        0.0211245,
        0.0211245,
        0.0211245,
        0.0211245,
        0.020555,
        0.020555,
        0.020555,
        0.020555,
        0.0211245,
        0.0211245,
        0.0211245,
        0.020555,
        0.0196661,
        0.0194514,
        0.0194514,
        0.0194514,
        0.0196661,
        0.0196661,
        0.0196661,
        0.0196661,
        0.0194514,
        0.0194514,
        0.0194514,
        0.0196661,
        0.020555,
        0.0211245,
        0.0211245,
        0.020555,
        0.0194514,
        0.0194514,
        0.0194514,
        0.0194514,
        0.0194514,
        0.0194514,
        0.0194514,
        0.0194428,
        0.0189415,
        0.0189415,
        0.0189415,
        0.0182938,
        0.0174383,
        0.0182938,
        0.0182938,
        0.0182938,
        0.0174383,
        0.0174383,
        0.0174383,
        0.0174383,
        0.0182938,
        0.0182938,
        0.0182938,
        0.0174383,
        0.0174383,
        0.0174383,
        0.0174383,
        0.0174383,
        0.0174383,
        0.0189415,
        0.0189415,
        0.0189415,
        0.0174383,
        0.0174383,
        0.0174383,
        0.0179566,
        0.0189664,
        0.0189664,
        0.0189664,
        0.0189823,
        0.0189823,
        0.0189823,
        0.0195494,
        0.0199616,
        0.0204935,
        0.0209659,
        0.0209659,
        0.0209659,
        0.0209659,
        0.0204935,
        0.0199616,
        0.0199616,
        0.0199616,
        0.0199616,
        0.0199616,
        0.018616,
        0.0179566,
        0.0179566,
        0.0179566,
        0.0179566,
        0.0179566,
        0.0183366,
        0.018616,
        0.018616,
        0.018616,
        0.018616,
        0.018616,
        0.018616,
        0.0202216,
        0.0202216,
        0.018616,
        0.0183366,
        0.0176813,
        0.0168646,
        0.0168646,
        0.0168646,
        0.0168646,
        0.0176813,
        0.0183366,
        0.0183366,
        0.0183366,
        0.0183366,
        0.0202216,
        0.0202838,
        0.0208833,
        0.0211836,
        0.0211836,
        0.0211836,
        0.0211836,
        0.0208833,
        0.0202838,
        0.0202216,
        0.0202216,
        0.0202216,
        0.0208833,
        0.0211836,
        0.0211836,
        0.0202216,
        0.0199067,
        0.0195957,
        0.0199067,
        0.0205477,
        0.0205477,
        0.0205477,
        0.0205477,
        0.0199067,
        0.0195957,
        0.0195957,
        0.0195957,
        0.0195957,
        0.0199067,
        0.0205477,
        0.0199067,
        0.0195957,
        0.0192837,
        0.0192837,
        0.0192837,
        0.0195957,
        0.0199067,
        0.0205477,
        0.0205477,
        0.0205477,
        0.0205477,
        0.0200814,
        0.0190031,
        0.0180256,
        0.0180256,
        0.0190031,
        0.0190031,
        0.0190031,
        0.0187081,
        0.0180256,
        0.0180256,
        0.0187081,
        0.0190616,
        0.0200814,
        0.0231916,
        0.0233858,
        0.0231916,
        0.0200814,
        0.0190616,
        0.0189073,
        0.0189073,
        0.0190616,
        0.0200814,
        0.0231916,
        0.0200814,
        0.0190899,
        0.0190616,
        0.0189073,
        0.0189073,
        0.0189073,
        0.0190616,
        0.0190899,
        0.0190899,
        0.0190899,
        0.0190899,
        0.0190616,
        0.0189236,
        0.0190616,
        0.0190899,
        0.0209289,
        0.0217435,
        0.0217435,
        0.0209289,
        0.0190899,
        0.0189236,
        0.0189236,
        0.0189236,
        0.0190899,
        0.0207983,
        0.0207983,
        0.0207983,
        0.0193306,
        0.0190899,
        0.0189236,
        0.0173991,
        0.0173991,
        0.0187823,
        0.0189236,
        0.0193306,
        0.0190009,
        0.0189236,
        0.0187823,
        0.0182119,
        0.0182119,
        0.0187823,
        0.0190009,
        0.0193306,
        0.0207983,
        0.0193306,
        0.0190009,
        0.0187823,
        0.0182119,
        0.0182119,
        0.0182871,
        0.0187823,
        0.0190009,
        0.0187823,
        0.0182871,
        0.0182119,
        0.0142192,
        0.0140944,
        0.0140944,
        0.0142192,
        0.0144929,
        0.0156247,
        0.0156247,
        0.0150833,
        0.0144929,
        0.0142192,
        0.0142192,
        0.0142192,
        0.0144929,
        0.0144929,
        0.0144878,
        0.0142192,
        0.0140944,
        0.0131124,
        0.0131124,
        0.0131124,
        0.0140944,
        0.0140944,
        0.0137988,
        0.0137988,
        0.0140944,
        0.0137988,
        0.0137988,
        0.0127417,
        0.0137988,
        0.0140139,
        0.0140944,
        0.0144878,
        0.0144878,
        0.0144878,
        0.0140139,
        0.0137988,
        0.0137988,
        0.0137988,
        0.0140139,
        0.0144878,
        0.014617,
        0.014617,
        0.014617,
        0.014617,
        0.0146621,
        0.0146621,
        0.0150905,
        0.0150905,
        0.0154607,
        0.0154607,
        0.0154607,
        0.0150905,
        0.0150905,
        0.0150905,
        0.0150905,
        0.0146621,
        0.0146621,
        0.0150905,
        0.0150905,
        0.0154607,
        0.0150905,
        0.0150905,
        0.0146621,
        0.0146621,
        0.0146621,
        0.0146621,
        0.0146621,
        0.0144696,
        0.0139516,
        0.0133599,
        0.012495,
        0.0107878,
        0.0107878,
        0.0103922,
        0.0102489,
        0.0102489,
        0.0103922,
        0.0103922,
        0.0103922,
        0.0103922,
        0.0102489,
        0.0100932,
        0.0100932,
        0.0100932,
        0.0100932,
        0.0100932,
        0.0102489,
        0.0103922,
        0.0103922,
        0.0103922,
        0.0103922,
        0.0103922,
        0.0103922,
        0.0103922,
        0.0136448,
        0.0140459,
        0.0143217,
        0.0148603,
        0.0148603,
        0.0148603,
        0.0152299,
        0.0152299,
        0.0152299,
        0.015441,
        0.015441,
        0.015441,
        0.015441,
        0.0152299,
        0.0148603,
        0.0148603,
        0.0138843,
        0.0148603,
        0.0152299,
        0.0152299,
        0.0152299,
        0.0152299,
        0.0152299,
        0.015031,
        0.0148603,
        0.0148149,
        0.0148149,
        0.0148149,
        0.0138843,
        0.0135827,
        0.0133581,
        0.0133581,
        0.0133581,
        0.0133581,
        0.0133581,
        0.0133581,
        0.0135114,
        0.0135114,
        0.0138843,
        0.0148149,
        0.0138843,
        0.0138843,
        0.0138843,
        0.0138843,
        0.0148149,
        0.0148867,
        0.0148867,
        0.0148867,
        0.0148149,
        0.0138341,
        0.0138341,
        0.0138341,
        0.0148867,
        0.0148867,
        0.0149075,
        0.0150232,
        0.0150232,
        0.0149075,
        0.0149075,
        0.0149075,
        0.0149075,
        0.0150232,
        0.0160247,
        0.0160247,
        0.0160247,
        0.0160247,
        0.0160247,
        0.0160247,
        0.0160247,
        0.0160247,
        0.0160247,
        0.0172337,
        0.0172431,
        0.0172431,
        0.0179311,
        0.0179311,
        0.0179311,
        0.0172431,
        0.0179311,
        0.0179311,
        0.0182987,
        0.0182987,
        0.0179311,
        0.0174737,
        0.0174737,
        0.0174737,
        0.0172431,
        0.0174737,
        0.0179311,
        0.0182987,
        0.0184364,
        0.0193832,
        0.0193832,
        0.0195945,
        0.0193832,
        0.0193832,
        0.0193832,
        0.0193832,
        0.0184364,
        0.0174737,
        0.0174406,
        0.0165417,
        0.0165379,
        0.0160874,
        0.0158435,
        0.0158435,
        0.0165379,
        0.0165417,
        0.0174406,
        0.0174406,
        0.0174406,
        0.0165417,
        0.0165379,
        0.0165379,
        0.0165417,
        0.0165417,
        0.0165417,
        0.0172452,
        0.0158394,
        0.0157952,
        0.0157952,
        0.0157952,
        0.0157952,
        0.0157952,
        0.0157952,
        0.0158394,
        0.0172452,
        0.0174152,
        0.0174406,
        0.0174406,
        0.0174152,
        0.0174152,
        0.0174152,
        0.0174152,
        0.0188738,
        0.0189934,
        0.0189934,
        0.0189934,
        0.0189934,
        0.0174152,
        0.0172452,
        0.0172452,
        0.0174152,
        0.0189165,
        0.0198784,
        0.0198784,
        0.0198784,
        0.0198784,
        0.0198784,
        0.0201952,
        0.0208695,
        0.0208695,
        0.0201952,
        0.0198784,
        0.0192171,
        0.0189165,
        0.0160512,
        0.0154719,
        0.0152749,
        0.0152749,
        0.0154719,
        0.0160512,
        0.0189165,
        0.0192171,
        0.019232,
        0.019232,
        0.019232,
        0.019232,
        0.0192171,
        0.0192171,
        0.0192171,
        0.0192171,
        0.019232,
        0.019232,
        0.0192171,
        0.018741,
        0.018741,
        0.018741,
        0.018741,
        0.0187073,
        0.0178873,
        0.0176075,
        0.016434,
        0.0176075,
        0.0176075,
        0.0176075,
        0.0176075,
        0.0176075,
        0.0176075,
        0.0178873,
        0.0178873,
        0.0176075,
        0.0176075,
        0.0174927,
        0.016434,
        0.016434,
        0.0163918,
        0.0162344,
        0.0162344,
        0.0162344,
        0.0163918,
        0.016434,
        0.016434,
        0.016434,
        0.0163918,
        0.0163918,
        0.0163918,
        0.0163918,
        0.016434,
        0.0164595,
        0.016434,
        0.0163918,
        0.0162344,
        0.0162255,
        0.0155706,
        0.0155706,
        0.0162255,
        0.0162344,
        0.0164595,
        0.0166606,
        0.0166606,
        0.0166606,
        0.0166606,
        0.0164595,
        0.0164595,
        0.0164595,
        0.0162255,
        0.0162255,
        0.0162255,
        0.0162255,
        0.0155715,
        0.0155706,
        0.0141335,
        0.0139408,
        0.013921,
        0.013921,
        0.0139408,
        0.0155706,
        0.0155706,
        0.0150889,
        0.0148357,
        0.0139408,
        0.0139408,
        0.0140056,
        0.0148357,
        0.0148357,
        0.0148357,
        0.0146853,
        0.0140056,
        0.0140056,
        0.0139408,
        0.0133489,
        0.0132659,
        0.0133489,
        0.0139408,
        0.0140056,
        0.0140056,
        0.0146853,
        0.0146853,
        0.014771,
        0.0146853,
        0.0146853,
        0.0146853,
        0.0146853,
        0.0146853,
        0.0146853,
        0.0146853,
        0.0140056,
        0.0137533,
        0.0132659,
        0.0132659,
        0.0132659,
        0.0137533,
        0.0140056,
        0.0140235,
        0.0140235,
        0.0140235,
        0.0140235,
        0.0140235,
        0.0140235,
        0.0137533,
        0.0137533,
        0.0137533,
        0.0140235,
        0.0140235,
        0.0140235,
        0.0140235,
        0.0140235,
        0.0140235,
        0.0137533,
        0.0137533,
        0.0140235,
        0.0153606,
        0.0177687,
        0.017822,
        0.0186104,
        0.0186578,
        0.0186578,
        0.0186578,
        0.0186578,
        0.0186578,
        0.0186578,
        0.0218685,
        0.0224464,
        0.0225218,
        0.0225218,
        0.0224464,
        0.0218333,
        0.0186104,
        0.018324,
        0.018324,
        0.0186104,
        0.0209701,
        0.0218333,
        0.0218333,
        0.0209701,
        0.0205866,
        0.0188412,
        0.0188412,
        0.0188412,
        0.0205866,
        0.0205866,
        0.0209701,
        0.0209701,
        0.0209701,
        0.0205866,
        0.019276,
        0.019276,
        0.019276,
        0.019276,
        0.0205866,
        0.0209701,
        0.0214991,
        0.0214991,
        0.0212672,
        0.0212672,
        0.0209701,
        0.0205866,
        0.0205866,
        0.0205866,
        0.0209701,
        0.0212672,
        0.0212672,
        0.0205866,
        0.019276,
        0.0188412,
        0.0180458,
        0.0180458,
        0.0185897,
        0.019276,
        0.0212672,
        0.0212672,
        0.0212972,
        0.0212972,
        0.0212972,
        0.0212972,
        0.0212972,
        0.0212972,
        0.0212672,
        0.0212672,
        0.0212672,
        0.0212672,
        0.0201003,
        0.0185897,
        0.0181671,
        0.018098,
        0.0179543,
        0.018098,
        0.018098,
        0.018098,
        0.0181671,
        0.0181671,
        0.0181671,
        0.0185897,
        0.0201003,
        0.0201003,
        0.0215589,
        0.0215589,
        0.0222672,
        0.0222672,
        0.0222672,
        0.0222672,
        0.0215589,
        0.0215589,
        0.0207576,
        0.0201003,
        0.0190463,
        0.0190463,
        0.0190463,
        0.0190463,
        0.0190144,
        0.0190463,
        0.0190463,
        0.0190483,
        0.0207576,
        0.0207576,
        0.0207576,
        0.0207576,
        0.0190483,
        0.0190483,
        0.0207576,
        0.0207576,
        0.0207576,
        0.0190483,
        0.0190463,
        0.0190144,
        0.0190144,
        0.0185069,
        0.0185069,
        0.0185069,
        0.0182092,
        0.0182092,
        0.0182092,
        0.0182092,
        0.0169951,
        0.0169951,
        0.0178825,
        0.0182092,
        0.0185069,
        0.0187169,
        0.0188592,
        0.0188592,
        0.0188592,
        0.0188592,
        0.0188592,
        0.0187169,
        0.0187169,
        0.0187169,
        0.0187169,
        0.0187169,
        0.0187169,
        0.0185069,
        0.0183235,
        0.0182092,
        0.0178825,
        0.0178825,
        0.0182092,
        0.0183235,
        0.0187169,
        0.0187169,
        0.0187169,
        0.0188592,
        0.0188592,
        0.0188592,
        0.0187169,
        0.0187169,
        0.0187169,
        0.0187169,
        0.0183235,
        0.0163237,
        0.0155689,
        0.0149966,
        0.0140587,
        0.0138437,
        0.0130845,
        0.0127895,
        0.0127895,
        0.0130845,
        0.0138437,
        0.0140587,
        0.0140587,
        0.0140587,
        0.0140587,
        0.0138437,
        0.0130845,
        0.0149966,
        0.0149966,
        0.0130845,
        0.0127895,
        0.0126073,
        0.0126073,
        0.0126073,
        0.0126073,
        0.0126073,
        0.0120343,
        0.0126073,
        0.0126073,
        0.0127895,
        0.0149966,
        0.015254,
        0.0156294,
        0.015674,
        0.0162604,
        0.0162604,
        0.0162604,
        0.0162604,
        0.0163582,
        0.0168704,
        0.0168704,
        0.0163582,
        0.0163582,
        0.0168704,
        0.0163582,
        0.0163582,
        0.0163582,
        0.0163582,
        0.0163582,
        0.0168704,
        0.0168786,
        0.0175372,
        0.0176199,
        0.0176199,
        0.0175372,
        0.0168786,
        0.0168786,
        0.0168786,
        0.0168704,
        0.0168704,
        0.0168786,
        0.0168786,
        0.0168786,
        0.0168786,
        0.0168704,
        0.0164986,
        0.0164986,
        0.0164986,
        0.0168704,
        0.0168037,
        0.0164986,
        0.0143499,
        0.0164986,
        0.0164986,
        0.0164986,
        0.0164986,
        0.0164986,
        0.0164986,
        0.0164986,
        0.0143499,
        0.0130702,
        0.0122787,
        0.0119766,
        0.0111295,
        0.0111295,
        0.0111295,
        0.0111295,
        0.0111295,
        0.0111295,
        0.0117754,
        0.0130702,
        0.0130702,
        0.0130702,
        0.0130702,
        0.0130702,
        0.0130702,
        0.0130702,
        0.0130702,
        0.0130702,
        0.012795,
        0.012795,
        0.012795,
        0.012795,
        0.0126841,
        0.0126841,
        0.0117754,
        0.0117754,
        0.0126841,
        0.012795,
        0.0132857,
        0.013432,
        0.0140038,
        0.0140224,
        0.0148964,
        0.0162137,
        0.0162137,
        0.0162137,
        0.0162137,
        0.0170538,
        0.0170538,
        0.0170538,
        0.0162137,
        0.0153624,
        0.0148964,
        0.013432,
        0.013432,
        0.0128603,
        0.0128603,
        0.013432,
        0.0137582,
        0.0153624,
        0.0153624,
        0.0153624,
        0.0153624,
        0.0177545,
        0.0187623,
        0.0187623,
        0.0187623,
        0.0187623,
        0.0153624,
        0.0153624,
        0.0137582,
        0.0137582,
        0.0137582,
        0.0134385,
        0.0128603,
        0.0128603,
        0.0128603,
        0.0128603,
        0.0128603,
        0.0134385,
        0.0137582,
        0.0137582,
        0.0152257,
        0.0165662,
        0.0171486,
        0.0171486,
        0.0171486,
        0.0171486,
        0.0165662,
        0.0152257,
        0.0134385,
        0.0134385,
        0.0134385,
        0.0134385,
        0.0134385,
        0.0131243,
        0.0131243,
        0.0131243,
        0.0131243,
        0.0134385,
        0.0134385,
        0.0152257,
        0.0165662,
        0.0165662,
        0.0166987,
        0.0203805,
        0.0203805,
        0.0203805,
        0.0203805,
        0.0203805,
        0.0178703,
        0.0178703,
        0.0178703,
        0.0166987,
        0.0166987,
        0.0166987,
        0.0166987,
        0.0166987,
        0.0166987,
        0.0166987,
        0.0178703,
        0.0203805,
        0.0206377,
        0.0206377,
        0.0206377,
        0.0206377,
        0.0209968,
        0.0209968,
        0.0209968,
        0.0209968,
        0.0206377,
        0.018562,
        0.018562,
        0.018562,
        0.018562,
        0.018562,
        0.018562,
        0.018562,
        0.018562,
        0.018562,
        0.018562,
        0.018562,
        0.018562,
        0.018562,
        0.0206377,
        0.0206377,
        0.0206377,
        0.0215509,
        0.0220264,
        0.0220264,
        0.0220264,
        0.0220264,
        0.0216509,
        0.0215509,
        0.0211192,
        0.018562,
        0.0211192,
        0.0168436,
        0.0168436,
        0.0168436,
        0.0168436,
        0.0181138,
        0.0211192,
        0.0211192,
        0.0211192,
        0.0211192,
        0.0211192,
        0.0211192,
        0.0216509,
        0.0231827,
        0.0231827,
        0.0231827,
        0.0231827,
        0.0230042,
        0.0216509,
        0.0211192,
        0.0190706,
        0.0181608,
        0.0181138,
        0.0180905,
        0.0179362,
        0.0149791,
        0.0149791,
        0.0149791,
        0.0149791,
        0.0179362,
        0.0180905,
        0.0180905,
        0.0181138,
        0.0181608,
        0.0190706,
        0.0230042,
        0.0230042,
        0.0190706,
        0.0181608,
        0.0180905,
        0.0179362,
        0.0177287,
        0.016113,
        0.016113,
        0.0157793,
        0.0148604,
        0.0148604,
        0.0148604,
        0.0148604,
        0.0152653,
        0.0152653,
        0.0152653,
        0.0157793,
        0.0157793,
        0.016113,
        0.016476,
        0.0177287,
        0.0183596,
        0.0186637,
        0.0191961,
        0.0186637,
        0.0183596,
        0.0177287,
        0.016476,
        0.016113,
        0.0157793,
        0.0152653,
        0.0148604,
        0.0133966,
        0.0133966,
        0.01371,
        0.0152653,
        0.0157793,
        0.0157793,
        0.0157793,
        0.0160907,
        0.016476,
        0.016476,
        0.0191961,
        0.0196602,
        0.0196602,
        0.0196602,
        0.0191961,
        0.0160907,
        0.0143903,
        0.01371,
        0.0134564,
        0.0125066,
        0.0122166,
        0.0115944,
        0.0115944,
        0.0114193,
        0.0114193,
        0.0114193,
        0.0115944,
        0.0120807,
        0.0125066,
        0.0130648,
        0.0131171,
        0.0134564,
        0.01371,
        0.0143903,
        0.0143903,
        0.0134564,
        0.0131171,
        0.0130648,
        0.0126312,
        0.0120807,
        0.0115944,
        0.0114018,
        0.0112208,
        0.0112208,
        0.0112208,
        0.0114018,
        0.0114761,
        0.0120807,
        0.0120807,
        0.0126312,
        0.0130648,
        0.0131171,
        0.0140744,
        0.0149299,
        0.0156831,
        0.0160137,
        0.0179185,
        0.0179185,
        0.0179185,
        0.0156831,
        0.0156831,
        0.0149299,
        0.0141819,
        0.0140744,
        0.0126312,
        0.0125081,
        0.0125081,
        0.0125081,
        0.0126312,
        0.0140744,
        0.0141819,
        0.0149299,
        0.0155907,
        0.0157218,
        0.0188323,
        0.0188323,
        0.0211009,
        0.0218446,
        0.0218446,
        0.0211009,
        0.0188323,
        0.0162294,
        0.0157218,
        0.0155907,
        0.014818,
        0.0141819,
        0.0125081,
        0.0124079,
        0.0122118,
        0.0122118,
        0.0124079,
        0.0125081,
        0.014818,
        0.0155907,
        0.0157218,
        0.0162294,
        0.0211009,
        0.0215418,
        0.0218446,
        0.0229132,
        0.0229132,
        0.0218446,
        0.0215418,
        0.0211009,
        0.0203906,
        0.0186719,
        0.016507,
        0.0162294,
        0.014818,
        0.014242,
        0.0135915,
        0.0135915,
        0.014242,
        0.014818,
        0.0150463,
        0.016507,
        0.0186719,
        0.0203906,
        0.0206227,
        0.0215418,
        0.0229132,
        0.0237796,
        0.0254232,
        0.0237796,
        0.0237203,
        0.0206227,
        0.0203906,
        0.0186719,
        0.0186615,
        0.016507,
        0.0150463,
        0.014242,
        0.0135915,
        0.0114725,
        0.0114725,
        0.0124598,
        0.0135915,
        0.014242,
        0.0150463,
        0.0186615,
        0.0206227,
        0.0231863,
        0.0237203,
        0.0237796,
        0.0254232,
        0.0263339,
        0.0263339,
        0.0237203,
        0.0231863,
        0.0187728,
        0.0186615,
        0.0151028,
        0.0151028,
        0.0151028,
        0.0151028,
        0.0139792,
        0.0139792,
        0.0139792,
        0.0139792,
        0.0151028,
        0.0165095,
        0.0171905,
        0.0187728,
        0.0190266,
        0.0209871,
        0.0230392,
        0.0231863,
        0.0287618,
        0.0237842,
        0.0230392,
        0.0209871,
        0.0190266,
        0.0189647,
        0.0187728,
        0.0175207,
        0.0171905,
        0.0167582,
        0.0165095,
        0.0165095,
        0.0165095,
        0.0165095,
        0.0165095,
        0.0167582,
        0.0171905,
        0.0171905,
        0.0171905,
        0.0175207,
        0.0182897,
        0.0189647,
        0.0230392,
        0.0232357,
        0.0232357,
        0.0232357,
        0.0222833,
        0.0210816,
        0.0189647,
        0.0182897,
        0.0175207,
        0.0167582,
        0.0164086,
        0.0157849,
        0.015673,
        0.0157849,
        0.0167582,
        0.0167582,
        0.0167615,
        0.0182897,
        0.0210816,
        0.0215073,
        0.0222833,
        0.0225528,
        0.0232357,
        0.0234904,
        0.0249337,
        0.0251934,
        0.0251934,
        0.0249337,
        0.0234904,
        0.0225528,
        0.0222833,
        0.0215073,
        0.0210816,
        0.0167615,
        0.016203,
        0.0157849,
        0.0157849,
        0.016203,
        0.016203,
        0.0167615,
        0.0184246,
        0.0201219,
        0.0215073,
        0.0218823,
        0.0218823,
        0.0225528,
        0.0262212,
        0.0279652,
        0.0281843,
        0.0281843,
        0.0279652,
        0.0278371,
        0.0252228,
        0.0219294,
        0.0218823,
        0.0201219,
        0.0184246,
        0.0179054,
        0.0179054,
        0.0179054,
        0.0179054,
        0.0184246,
        0.01845,
        0.0201133,
        0.0201219,
        0.0207254,
        0.0218823,
        0.0219294,
        0.0235098,
        0.0252228,
        0.0252228,
        0.0252228,
        0.0249035,
        0.0249035,
        0.0235098,
        0.0219294,
        0.0207254,
        0.0207254,
        0.0206455,
        0.0201133,
        0.0192809,
        0.01845,
        0.017929,
        0.017929,
        0.017929,
        0.017929,
        0.017929,
        0.01845,
        0.01845,
        0.01845,
        0.01845,
        0.01845,
        0.017929,
        0.0175329,
        0.0172715,
        0.0168784,
        0.0167762,
        0.0162621,
        0.0162621,
        0.0162621,
        0.0162621,
        0.0162621,
        0.0154262,
        0.0154262,
        0.0152222,
        0.0152222,
        0.0152222,
        0.0151926,
        0.0151285,
        0.0142781,
        0.0141409,
        0.0139875,
        0.0141078,
        0.0136846,
        0.0136846,
        0.0136846,
        0.0136846,
        0.0141078,
        0.0141078,
        0.0141136,
        0.0141409,
        0.0141409,
        0.0151926,
        0.0151926,
        0.0154262,
        0.0154262,
        0.0158057,
        0.0170776,
        0.0170776,
        0.0166595,
        0.0166595,
        0.0166595,
        0.0170776,
        0.0170776,
        0.0166595,
        0.0166595,
        0.0166595,
        0.0166595,
        0.0166595,
        0.0170776,
        0.0170776,
        0.0170776,
        0.0178065,
        0.0179827,
        0.0188113,
        0.0191991,
        0.0191991,
        0.0191991,
        0.0194127,
        0.0194127,
        0.0191991,
        0.0188113,
        0.0186161,
        0.0166595,
        0.0166563,
        0.0162429,
        0.0159336,
        0.0158383,
        0.0154662,
        0.0153372,
        0.0154662,
        0.0153372,
        0.0152005,
        0.0146503,
        0.014594,
        0.0146503,
        0.0152005,
        0.0153372,
        0.0158383,
        0.0159336,
        0.0159336,
        0.0159336,
        0.0160107,
        0.0159336,
        0.0158383,
        0.0158383,
        0.015708,
        0.0153372,
        0.0152005,
        0.0146503,
        0.014594,
        0.0146503,
        0.0146503,
        0.0144157,
        0.0144157,
        0.0143172,
        0.0143172,
        0.0144157,
        0.0146278,
        0.0146503,
        0.0150697,
        0.0146503,
        0.0148101,
        0.0150697,
        0.0150697,
        0.0150697,
        0.0150697,
        0.0148101,
        0.0146278,
        0.0144157,
        0.0143172,
        0.014078,
        0.0135073,
        0.0130556,
        0.0124076,
        0.0124076,
        0.0115038,
        0.0115038,
        0.0115038,
        0.0114247,
        0.0115038,
        0.0115038,
        0.0114247,
        0.0114247,
        0.0115038,
        0.0114247,
        0.0114247,
        0.0113738,
        0.0110302,
        0.0109081,
        0.0103673,
        0.010258,
        0.010258,
        0.010258,
        0.0102075,
        0.0102075,
        0.0101934,
        0.0100284,
        0.00909764,
        0.00971373,
        0.00909764,
        0.0090452,
        0.00877008,
        0.0090452,
        0.0090452,
        0.00909764,
        0.0090452,
        0.00909764,
        0.00949891,
        0.00949891,
        0.00971373,
        0.00971373,
        0.00971373,
        0.0100284,
        0.00971373,
        0.00949891,
        0.00946554,
        0.00946554,
        0.00946554,
        0.00946554,
        0.00949891,
        0.00949891,
        0.00949891,
        0.00946554,
        0.00805305,
        0.00805305,
        0.00946554,
        0.00949891,
        0.00971373,
        0.00982678,
        0.00984756,
        0.0103273,
        0.0103399,
        0.0114798,
        0.0120728,
        0.0134734,
        0.0136772,
        0.0145914,
        0.0145914,
        0.0136772,
        0.0124321,
        0.0124087,
        0.0122187,
        0.0120728,
        0.0120728,
        0.0120728,
        0.0120728,
        0.0122187,
        0.0122187,
        0.0122187,
        0.0124087,
        0.0124321,
        0.0124321,
        0.0124321,
        0.0124321,
        0.0124321,
        0.0124321,
        0.0124087,
        0.0123558,
        0.0123558,
        0.0124087,
        0.0124087,
        0.0124087,
        0.0123558,
        0.0122187,
        0.0122187,
        0.0122187,
        0.0113444,
        0.0113444,
        0.0113444,
        0.0111836,
        0.0107251,
        0.0107009,
        0.010684,
        0.010684,
        0.010684,
        0.010684,
        0.010684,
        0.010684,
        0.0104283,
        0.0104283,
        0.0104283,
        0.0104283,
        0.0104283,
        0.0113444,
        0.0123558,
        0.0132307,
        0.0132307,
        0.0132307,
        0.0132307,
        0.012276,
        0.0113444,
        0.0104283,
        0.0104283,
        0.0112232,
        0.0104283,
        0.0104283,
        0.0104283,
        0.0112232,
        0.0112232,
        0.012276,
        0.0132307,
        0.0133337,
        0.0133337,
        0.0133337,
        0.0133337,
        0.0133337,
        0.0133337,
        0.0133337,
        0.0133337,
        0.0139203,
        0.0140258,
        0.0140258,
        0.0140258,
        0.0144295,
        0.0144295,
        0.0165281,
        0.0165281,
        0.0144295,
        0.0144295,
        0.0144295,
        0.0165281,
        0.0165281,
        0.0165281,
        0.0165281,
        0.0169611,
        0.0169611,
        0.0165281,
        0.0165281,
        0.0165281,
        0.0165281,
        0.0165281,
        0.0165281,
        0.0165281,
        0.0169611,
        0.016994,
        0.0171144,
        0.0180619,
        0.0205374,
        0.0207737,
        0.020977,
        0.021996,
        0.0222668,
        0.021996,
        0.021996,
        0.0222668,
        0.0222668,
        0.024256,
        0.024256,
        0.0262613,
        0.0262613,
        0.0262613,
        0.0264607,
        0.0267345,
        0.0267345,
        0.0267345,
        0.0267345,
        0.0267345,
        0.0267345,
        0.0267345,
        0.026518,
        0.026518,
        0.026518,
        0.026518,
        0.0264607,
        0.0264607,
        0.026518,
        0.026518,
        0.0265214,
        0.026518,
        0.026518,
        0.024256,
        0.0236733,
        0.0235514,
        0.0235514,
        0.0229572,
        0.0227096,
        0.0227096,
        0.0202465,
        0.0202465,
        0.0202465,
        0.0202465,
        0.0202465,
        0.0202465,
        0.0198953,
        0.0198953,
        0.0198786,
        0.0188389,
        0.0188389,
        0.0174731,
        0.0174588,
        0.0174588,
        0.0174588,
        0.0174588,
        0.0164151,
        0.0164151,
        0.0161699,
        0.0155875,
        0.0151562,
        0.0147115,
        0.0147115,
        0.0147049,
        0.0144958,
        0.0144958,
        0.0144958,
        0.0144958,
        0.0147049,
        0.0147115,
        0.0147115,
        0.0147115,
        0.0147049,
        0.0147049,
        0.0147115,
        0.0144958,
        0.013964,
        0.0137086,
        0.0132613,
        0.0132613,
        0.0137086,
        0.0132613,
        0.0132613,
        0.0132613,
        0.0137086,
        0.0137086,
        0.0137086,
        0.0137086,
        0.0137086,
        0.0137086,
        0.0137086,
        0.013964,
        0.013964,
        0.0137086,
        0.0135806,
        0.0135806,
        0.0135806,
        0.0132613,
        0.0124909,
        0.0124909,
        0.0123723,
        0.0122525,
        0.0120743,
        0.0122525,
        0.0120743,
        0.0117844,
        0.0120743,
        0.0117844,
        0.0120743,
        0.0122525,
        0.0122525,
        0.0120743,
        0.0120743,
        0.0120743,
        0.0120743,
        0.0117844,
        0.0117844,
        0.0117844,
        0.0117844,
        0.0115303,
        0.0115303,
        0.0115303,
        0.0104601,
        0.0115303,
        0.0115303,
        0.0104601,
        0.0104601,
        0.0104601,
        0.0115303,
        0.0104601,
        0.0104601,
        0.0115303,
        0.0117844,
        0.0115303,
        0.0115303,
        0.0115303,
        0.0118525,
        0.0115303,
        0.0118525,
        0.0118525,
        0.0118525,
        0.0118525,
        0.0118525,
        0.0127891,
        0.0127891,
        0.0127891,
        0.0127891,
        0.0127684,
        0.0127684,
        0.012156,
        0.012156,
        0.012156,
        0.0118525,
        0.0118525,
        0.0114812,
        0.0111711,
        0.0111711,
        0.0111711,
        0.0111711,
        0.00987418,
        0.0111711,
        0.0111711,
        0.00987418,
        0.00987418,
        0.00986454,
        0.00986454,
        0.00987418,
        0.00987418,
        0.00987418,
        0.00986454,
        0.00986454,
        0.00986454,
        0.00987418,
        0.00986454,
        0.00971509,
        0.00964498,
        0.00964498,
        0.00964498,
        0.00948727,
        0.00948727,
        0.0092543,
        0.0092543,
        0.00948727,
        0.00984556,
        0.00984556,
        0.0097872,
        0.0097872,
        0.0097872,
        0.00984556,
        0.00984556,
        0.0108474,
        0.0108474,
        0.0102936,
        0.0108347,
        0.0108347,
        0.0108347,
        0.0108073,
        0.0108073,
        0.0108073,
        0.0108073,
        0.0108347,
        0.0108073,
        0.0102936,
        0.0102936,
        0.0102936,
        0.0102936,
        0.0108073,
        0.0108073,
        0.0102936,
        0.0108073,
        0.0108073,
        0.0108073,
        0.0108073,
        0.0102936,
        0.0097872,
        0.0102936,
        0.0108073,
        0.0108073,
        0.0108347,
        0.0108073,
        0.0102936,
        0.0102936,
        0.00972333,
        0.00972333,
        0.00967974,
        0.00967974,
        0.00972333,
        0.00972333,
        0.00972333,
        0.00967974,
        0.00967974,
        0.00967974,
        0.00960285,
        0.00972333,
        0.00972333,
        0.00927806,
        0.0100085,
        0.00927806,
        0.0100085,
        0.0102466,
        0.0102466,
        0.0102466,
        0.0102466,
        0.0102466,
        0.0103925,
        0.0110369,
        0.0103925,
        0.0102466,
        0.0102466,
        0.0100085,
        0.0100085,
        0.0100085,
        0.00916983,
        0.0100085,
        0.00999438,
        0.0100085,
        0.00999438,
        0.00999438,
        0.00999438,
        0.00999438,
        0.0100085,
        0.0100085,
        0.0100085,
        0.0102239,
        0.0102239,
        0.0102239,
        0.0102239,
        0.0102239,
        0.0102239,
        0.0102239,
        0.00999438,
        0.00946942,
        0.00999438,
        0.0102239,
        0.0103925,
        0.0113719,
        0.0113719,
        0.0113719,
        0.0113719,
        0.0113719,
        0.0113719,
        0.0113719,
        0.0113719,
        0.0114172,
        0.0115234,
        0.0115234,
        0.0120232,
        0.0120873,
        0.0120873,
        0.0120232,
        0.0120232,
        0.0120232,
        0.0120232,
        0.0115145,
        0.0115145,
        0.0113719,
        0.0115145,
        0.0116936,
        0.0115145,
        0.0115145,
        0.0113719,
        0.0113719,
        0.0113719,
        0.0113719,
        0.0112842,
        0.0112354,
        0.0109906,
        0.0109906,
        0.0112354,
        0.0112842,
        0.0112842,
        0.0112842,
        0.0112842,
        0.0112842,
        0.0112354,
        0.0112354,
        0.0112842,
        0.0112354,
        0.0109906,
        0.0108824,
        0.0109906,
        0.0108824,
        0.0108824,
        0.0108633,
        0.0100275,
        0.00971263,
        0.0096689,
        0.0096689,
        0.0096689,
        0.00921501,
        0.0096689,
        0.0096689,
        0.0096689,
        0.00921501,
        0.00851453,
        0.00825291,
        0.00825291,
        0.00851453,
        0.00851453,
        0.00825291,
        0.00825291,
        0.00851453,
        0.00921501,
        0.00921501,
        0.00921501,
        0.00921501,
        0.00921501,
        0.00851453,
        0.00921501,
        0.00981956,
        0.00981956,
        0.00981956,
        0.00981956,
        0.00981956,
        0.0100275,
        0.00981956,
        0.0102285,
        0.0109826,
        0.0109826,
        0.0109826,
        0.0109826,
        0.0109826,
        0.00981956,
        0.00981956,
        0.00981956,
        0.0109826,
        0.0109866,
        0.011145,
        0.0117267,
        0.011145,
        0.0117267,
        0.0124448,
        0.0124448,
        0.0124448,
        0.0124448,
        0.0130242,
        0.0130242,
        0.0124448,
        0.0124448,
        0.0124448,
        0.0124448,
        0.0125684,
        0.0124448,
        0.0124448,
        0.0119238,
        0.0119238,
        0.0119238,
        0.0109826,
        0.010982,
        0.0106462,
        0.00983269,
        0.00983269,
        0.0106462,
        0.010982,
        0.0119238,
        0.0119238,
        0.0119238,
        0.0119238,
        0.0119238,
        0.011559,
        0.011559,
        0.011559,
        0.0108514,
        0.0108514,
        0.0106462,
        0.0106462,
        0.00983269,
        0.00973809,
        0.00983269,
        0.00983269,
        0.00877357,
        0.00877357,
        0.00877357,
        0.00877357,
        0.00877357,
        0.00862893,
        0.00817531,
        0.00817531,
        0.00817531,
        0.00817531,
        0.00862893,
        0.00988756,
        0.00988756,
        0.00988756,
        0.00988756,
        0.00862893,
        0.00817531,
        0.00817531,
        0.00817531,
        0.00817531,
        0.00817531,
        0.00809256,
        0.00809256,
        0.0075113,
        0.00748599,
        0.0075113,
        0.0075113,
        0.00809256,
        0.00809256,
        0.0075113,
        0.0075113,
        0.0075113,
        0.00748599,
        0.00748599,
        0.0075113,
        0.00809256,
        0.00917269,
        0.0095569,
        0.00978819,
        0.0103072,
        0.0108749,
        0.0108749,
        0.0109883,
        0.0109883,
        0.0109883,
        0.0108749,
        0.0109883,
        0.0109883,
        0.0109883,
        0.0113076,
        0.0113076,
        0.0115785,
        0.0116639,
        0.0115785,
        0.0116639,
        0.0116639,
        0.0115785,
        0.0115785,
        0.0115009,
        0.0115009,
        0.0115009,
        0.0115009,
        0.0115785,
        0.0129157,
        0.0129157,
        0.0129157,
        0.0129157,
        0.0129157,
        0.0129157,
        0.0131914,
        0.0132472,
        0.0132472,
        0.0132472,
        0.0133775,
        0.0134674,
        0.0136373,
        0.0144668,
        0.0144668,
        0.0144668,
        0.0136373,
        0.0134674,
        0.0134674,
        0.0133775,
        0.0132472,
        0.0132472,
        0.0130256,
        0.0133775,
        0.0133775,
        0.0134674,
        0.0136373,
        0.0144668,
        0.0145771,
        0.0149661,
        0.0152813,
        0.0154258,
        0.0154258,
        0.0152813,
        0.0152813,
        0.0154258,
        0.0154258,
        0.0156765,
        0.0154258,
        0.0152583,
        0.0149661,
        0.0145771,
        0.0141205,
        0.0130256,
        0.0113578,
        0.0113549,
        0.0111666,
        0.0111666,
        0.0111666,
        0.0111666,
        0.0113549,
        0.0113549,
        0.0117558,
        0.0136996,
        0.0117558,
        0.0136996,
        0.0117558,
        0.0113549,
        0.0113549,
        0.0113549,
        0.0111666,
        0.0111666,
        0.0111666,
        0.0111666,
        0.0111666,
        0.0101254,
        0.0101254,
        0.00992558,
        0.00980667,
        0.00951956,
        0.00951956,
        0.00934746,
        0.00934746,
        0.00934746,
        0.00934746,
        0.00934746,
        0.00934746,
        0.00951956,
        0.00992558,
        0.00951956,
        0.00992558,
        0.00992558,
        0.0100861,
        0.0100861,
        0.0100861,
        0.0103091,
        0.0103091,
        0.0121927,
        0.0121927,
        0.0121927,
        0.011696,
        0.011696,
        0.011696,
        0.0115386,
        0.0115386,
        0.0111975,
        0.0111975,
        0.0103091,
        0.0103091,
        0.0103091,
        0.0111975,
        0.0111975,
        0.0111975,
        0.0111975,
        0.0111975,
        0.0115386,
        0.0115386,
        0.0111975,
        0.0103694,
        0.0111975,
        0.0115386,
        0.011696,
        0.011696,
        0.011696,
        0.011696,
        0.011696,
        0.011696,
        0.011696,
        0.011696,
        0.0122607,
        0.0122607,
        0.0123581,
        0.0123581,
        0.0123581,
        0.0134667,
        0.0123581,
        0.0134667,
        0.0134667,
        0.0134667,
        0.0134667,
        0.0134667,
        0.0134667,
        0.0134667,
        0.0134667,
        0.0134848,
        0.0134848,
        0.0134848,
        0.0144523,
        0.0144523,
        0.0152252,
        0.0155593,
        0.0155593,
        0.0155593,
        0.0155593,
        0.0155593,
        0.0158998,
        0.0158998,
        0.0158998,
        0.0162048,
        0.0162048,
        0.0162048,
        0.0162048,
        0.0169104,
        0.0169104,
        0.0169104,
        0.0169104,
        0.0169104,
        0.0169104,
        0.0169104,
        0.0169104,
        0.0169104,
        0.0169104,
        0.0169104,
        0.0169104,
        0.0169104,
        0.0184257,
        0.0184257,
        0.0169104,
        0.0169104,
        0.0199578,
        0.0199578,
        0.0199578,
        0.0199578,
        0.0199578,
        0.0199578,
        0.0199578,
        0.0199578,
        0.0199578,
        0.0199578,
        0.0199578,
        0.0194703,
        0.0194703,
        0.0199578,
        0.0194703,
        0.0194703,
        0.0194703,
        0.0194703,
        0.0194703,
        0.0194703,
        0.0194703,
        0.0194703,
        0.0194703,
        0.0194703,
        0.0194703,
        0.0194703,
        0.0194703,
        0.01836,
        0.01836,
        0.0194703,
        0.01836,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0168974,
        0.0167161,
        0.0167161,
        0.0167161,
        0.0167161,
        0.0167161,
        0.0167161,
        0.0167161,
        0.0167161,
        0.0167161,
        0.0167161,
        0.0167161,
        0.0167161,
        0.0199279,
        0.0167161,
        0.0167161,
        0.0199279,
        0.0199279,
        0.0199279,
        0.0199279,
        0.0199279,
        0.0199279,
        0.0199279,
        0.0199279,
        0.0199279,
        0.0199279,
        0.0199279,
        0.0168625,
        0.0168625,
        0.0168625,
        0.0165275,
        0.0168625,
        0.0168625,
        0.0168625,
        0.0168625,
        0.0168625,
        0.0168625,
        0.0168625,
        0.0168625,
        0.0168625,
        0.0168625,
        0.0173717,
        0.0175172,
        0.017787,
        0.017787,
        0.017787,
        0.0192759,
        0.0192759,
        0.0192759,
        0.0192759,
        0.0192759,
        0.0192759,
        0.0192759,
        0.0192759,
        0.0192759,
        0.0192759,
        0.0192759,
        0.0192759,
        0.0235468,
        0.0235468,
        0.0215622,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0215622,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.0243589,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.02383,
        0.02383,
        0.02383,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.023429,
        0.0224253,
        0.0224253,
        0.0224253,
        0.0224253,
        0.0224253,
        0.0224253,
        0.0224253,
        0.0224253,
        0.0229502,
        0.0229502,
        0.0230331,
        0.0233761,
        0.0238613,
        0.0238613,
        0.0238613,
        0.0238613,
        0.0239687,
        0.0239687,
        0.0239687,
        0.0239687,
        0.0239687,
        0.0239687,
        0.0238613,
        0.0238613,
        0.0233761,
        0.0233761,
        0.0230761,
        0.0230331,
        0.0230331,
        0.0229502,
        0.0225517,
        0.0225517,
        0.0225517,
        0.0225517,
        0.0225517,
        0.0225517,
        0.0221291,
        0.0217463,
        0.0215643,
        0.0215643,
        0.0215643,
        0.0212986,
        0.0212986,
        0.0212209,
        0.0212209,
        0.0212209,
        0.0212209,
        0.0210229,
        0.0208459,
        0.0208459,
        0.0208459,
        0.0208459,
        0.0208459,
        0.0210229,
        0.0208459,
        0.0208459,
        0.0208235,
        0.0208235,
        0.0208235,
        0.0200559,
        0.0202155,
        0.0208235,
        0.0202155,
        0.0200559,
        0.0198106,
        0.0198106,
        0.0194369,
        0.0198106,
        0.0198106,
        0.0200559,
        0.0200559,
        0.0200559,
        0.0202155,
        0.0202155,
        0.0202871,
        0.0208235,
        0.0208459,
        0.0208459,
        0.0210127,
        0.0210127,
        0.0215881,
        0.021609,
        0.021609,
        0.0220826,
        0.0228628,
        0.0231959,
        0.0232294,
        0.0232294,
        0.023633,
        0.0236937,
        0.0246113,
        0.0246943,
        0.0246943,
        0.0246943,
        0.0246943,
        0.0246943,
        0.024961,
        0.024961,
        0.0246943,
        0.0246943,
        0.0246943,
        0.0246113,
        0.0246113,
        0.0236937,
        0.0240718,
        0.0240718,
        0.0236937,
        0.0225392,
        0.0225392,
        0.0225392,
        0.0236937,
        0.0236937,
        0.0236937,
        0.0240718,
        0.0240718,
        0.0240718,
        0.0240718,
        0.0246943,
        0.0250793,
        0.0250793,
        0.0250793,
        0.0250793,
        0.0254833,
        0.030026,
        0.035506,
        0.0373521,
        0.0373521,
        0.0394468,
        0.0394468,
        0.0419725,
        0.0429233,
        0.0434904,
        0.0448833,
        0.0457217,
        0.0474864,
        0.0486148,
        0.0489967,
        0.0490628,
        0.0490628,
        0.0489996,
        0.0489996,
        0.0486148,
        0.0486148,
        0.0474864,
        0.0448833,
        0.0448174,
        0.0442569,
        0.0434904,
        0.0429233,
        0.0423687,
        0.0423687,
        0.0419725,
        0.0419725,
        0.0417708,
        0.0417708,
        0.0419725,
        0.0423687,
        0.0442569,
        0.0442569,
        0.0442569,
        0.0423687,
        0.0417708,
        0.0413932,
        0.0413932,
        0.0407013,
        0.0399538,
        0.0394494,
        0.0394494,
        0.0393721,
        0.0393721,
        0.0393721,
        0.0393721,
        0.0393721,
        0.0393721,
        0.0393721,
        0.0393721,
        0.0393721,
        0.0393721,
        0.0393721,
        0.0393721,
        0.0379191,
        0.0373109,
        0.0373109,
        0.0373109,
        0.0373109,
        0.0379191,
        0.0373109,
        0.0373109,
        0.0373109,
        0.0373109,
        0.0379191,
        0.0379937,
        0.0383633,
        0.0382595,
        0.0379937,
        0.0379191,
        0.0373109,
        0.0359947,
        0.0357202,
        0.0356684,
        0.0352908,
        0.0348369,
        0.0345542,
        0.0337142,
        0.0331736,
        0.0326764,
        0.0326102,
        0.0326102,
        0.0326102,
        0.0318348,
        0.0318348,
        0.0307314,
        0.0318348,
        0.0312995,
        0.0307314,
        0.0307314,
        0.0307314,
        0.0307314,
        0.0307314,
        0.030394,
        0.030394,
        0.0275023,
        0.0275023,
        0.0275023,
        0.0275023,
        0.0275023,
        0.0275023,
        0.030394,
        0.030394,
        0.0304003,
        0.0304003,
        0.0304003,
        0.0304863,
        0.0304863,
        0.0307314,
        0.0307314,
        0.0307314,
        0.0307314,
        0.0307314,
        0.0307314,
        0.0307314,
        0.0307314,
        0.0304863,
        0.0304003,
        0.0304003,
        0.0304863,
        0.0304003,
        0.0304003,
        0.0304003,
        0.0304003,
        0.0304003,
        0.0304003,
        0.0304863,
        0.0304863,
        0.0304863,
        0.0302956,
        0.0301211,
        0.0301211,
        0.0301211,
        0.0294727,
        0.0290945,
        0.0290945,
        0.0286831,
        0.0283352,
        0.0283352,
        0.0280602,
        0.0279779,
        0.0279779,
        0.0275767,
        0.0275767,
        0.0275767,
        0.0275767,
        0.0275767,
        0.0275767,
        0.0275767,
        0.026792,
        0.0262678,
        0.0250547,
        0.0240332,
        0.0238956,
        0.0237274,
        0.0230849,
        0.0227282,
        0.0218851,
        0.0210325,
        0.0205125,
        0.0200354,
        0.0200354,
        0.0200354,
        0.0200354,
        0.0200354,
        0.0191247,
        0.0191247,
        0.0191019,
        0.0189642,
        0.0189033,
        0.0178941,
        0.0178941,
        0.0178941,
        0.0178941,
        0.0178941,
        0.0168057,
        0.0168057,
        0.0178941,
        0.0178941,
        0.0189033,
        0.0189642,
        0.0191019,
        0.019299,
        0.020178,
        0.0204289,
        0.0204289,
        0.0207223,
        0.0209999,
        0.0209999,
        0.0209999,
        0.0209999,
        0.0209999,
        0.0207223,
        0.0204289,
        0.020178,
        0.019299,
        0.019299,
        0.0189642,
        0.0182046,
        0.0182046,
        0.019299,
        0.020178,
        0.020178,
        0.020178,
        0.020178,
        0.020178,
        0.020178,
        0.0182046,
        0.0175969,
        0.0171072,
        0.015421,
        0.015421,
        0.0152513,
        0.0152513,
        0.0152513,
        0.0152513,
        0.0152513,
        0.0152513,
        0.0152513,
        0.015421,
        0.0171072,
        0.0171072,
        0.0174744,
        0.0174744,
        0.0175969,
        0.0175969,
        0.0176874,
        0.0177425,
        0.0177425,
        0.0179761,
        0.0179965,
        0.0179761,
        0.0177425,
        0.0176874,
        0.0175969,
        0.0175969,
        0.0175969,
        0.0175969,
        0.0175969,
        0.0174744,
        0.0174744,
        0.0174744,
        0.0170734,
        0.0170734,
        0.0169866,
        0.0163367,
        0.0163367,
        0.0162962,
        0.015726,
        0.0156555,
        0.0144187,
        0.0144187,
        0.0144187,
        0.0143557,
        0.0143557,
        0.0137043,
        0.0137043,
        0.0135297,
        0.0134901,
        0.0123967,
        0.0123967,
        0.0123967,
        0.0123967,
        0.011358,
        0.011358,
        0.011358,
        0.0112341,
        0.0109433,
        0.0109433,
        0.0109433,
        0.0108963,
        0.0108963,
        0.0105194,
        0.0105194,
        0.00959185,
        0.0095158,
        0.00859401,
        0.00848676,
        0.0079113,
        0.00747186,
        0.00747186,
        0.00685454,
        0.00681734,
        0.00681734,
        0.00685454,
        0.00728688,
        0.00728688,
        0.00728688,
        0.00728688,
        0.00728688,
        0.00747186,
        0.00728688,
        0.00728688,
        0.00728688,
        0.00728688,
        0.00728688,
        0.00728688,
        0.0065514,
        0.0065514,
        0.0065514,
        0.00625113,
        0.00595708,
        0.0058427,
        0.0058427,
        0.0058427,
        0.00652295,
        0.0065514,
        0.00652295,
        0.0065514,
        0.0065514,
        0.0065514,
        0.0065514,
        0.00670067,
        0.00670067,
        0.0065514,
        0.0065514,
        0.0065514,
        0.00670067,
        0.00670067,
        0.00670067,
        0.00670067,
        0.00662501,
        0.00662501,
        0.00652295,
        0.00652295,
        0.00652295,
        0.006441,
        0.006441,
        0.006441,
        0.006441,
        0.006441,
        0.006441,
        0.00649644,
        0.00649644,
        0.00652295,
        0.00652295,
        0.00662501,
        0.00662501,
        0.00662836,
        0.00662501,
        0.00662836,
        0.00679098,
        0.00679098,
        0.00679098,
        0.00679098,
        0.00679098,
        0.00679098,
        0.00662836,
        0.00662501,
        0.00662836,
        0.00679098,
        0.00679098,
        0.00679098,
        0.00685602,
        0.00685602,
        0.00685602,
        0.00685602,
        0.00685602,
        0.00679098,
        0.00685602,
        0.00711624,
        0.00685602,
        0.00711624,
        0.00711624,
        0.00737789,
        0.00745774,
        0.00745774,
        0.00749288,
        0.00776913,
        0.00776913,
        0.00817125,
        0.00776913,
        0.00776913,
        0.00776913,
        0.00776913,
        0.00842321,
        0.00845856,
        0.00845856,
        0.0085601,
        0.0085601,
        0.0085601,
        0.00857741,
        0.0085601,
        0.00857741,
        0.00857741,
        0.00857741,
        0.00857741,
        0.00859414,
        0.0087577,
        0.0087577,
        0.00871656,
        0.00925997,
        0.00950207,
        0.00997563,
        0.00950207,
        0.00950207,
        0.00950207,
        0.00997563,
        0.00999469,
        0.0110429,
        0.0110429,
        0.0117628,
        0.0120727,
        0.0120727,
        0.0120727,
        0.0125967,
        0.0125967,
        0.0117628,
        0.0125967,
        0.0125967,
        0.0129267,
        0.0129267,
        0.0129267,
        0.0130787,
        0.0130787,
        0.0130787,
        0.0130787,
        0.0130957,
        0.0133723,
        0.0133723,
        0.0137038,
        0.0137038,
        0.0133723,
        0.0133723,
        0.0130957,
        0.0130957,
        0.0130787,
        0.0127699,
        0.0127699,
        0.0126754,
        0.0126434,
        0.0125967,
        0.0116283,
        0.0116027,
        0.0116027,
        0.0116027,
        0.0113309,
        0.0116027,
        0.0116283,
        0.0116283,
        0.0116283,
        0.0113309,
        0.0106052,
        0.0105329,
        0.0105329,
        0.0106052,
        0.0106052,
        0.0106052,
        0.0106052,
        0.0106052,
        0.0106052,
        0.0105329,
        0.0106052,
        0.0106052,
        0.0108978,
        0.0110201,
        0.0113309,
        0.0113309,
        0.0121938,
        0.0123991,
        0.0124409,
        0.0134626,
        0.0138016,
        0.0143644,
        0.0143825,
        0.0144183,
        0.0145151,
        0.0145151,
        0.0144183,
        0.0145151,
        0.0144183,
        0.0144183,
        0.0144183,
        0.0144183,
        0.0144183,
        0.0143825,
        0.0143825,
        0.0143825,
        0.0143825,
        0.0143825,
        0.0143644,
        0.0143825,
        0.0143825,
        0.0144183,
        0.0144183,
        0.0143825,
        0.0144183,
        0.0138016,
        0.0138016,
        0.0123562,
        0.0123562,
        0.0123562,
        0.0122952,
        0.0122952,
        0.0122952,
        0.0122952,
        0.0122952,
        0.0122572,
        0.0122952,
        0.0123562,
        0.0123562,
        0.013784,
        0.0139437,
        0.0146411,
        0.0146411,
        0.0149571,
        0.0149571,
        0.0149571,
        0.0149612,
        0.0149571,
        0.0149571,
        0.0149612,
        0.0149612,
        0.0150215,
        0.0149612,
        0.0149612,
        0.0149612,
        0.0146067,
        0.0149612,
        0.0146067,
        0.0146067,
        0.0146067,
        0.0143225,
        0.0146067,
        0.0146067,
        0.0150215,
        0.0152611,
        0.0152611,
        0.015949,
        0.0168928,
        0.0168928,
        0.0168928,
        0.0152611,
        0.017191,
        0.0152611,
        0.017191,
        0.0172451,
        0.0172451,
        0.0173175,
        0.0173175,
        0.0173175,
        0.0175265,
        0.0173175,
        0.0175265,
        0.0175265,
        0.0177644,
        0.0178933,
        0.0178933,
        0.0178933,
        0.0179233,
        0.0180556,
        0.0182186,
        0.0180556,
        0.0182186,
        0.0182186,
        0.0182186,
        0.0182186,
        0.0180556,
        0.0182186,
        0.0182186,
        0.0182186,
        0.0182186,
        0.0182186,
        0.0182186,
        0.0191697,
        0.0192199,
        0.0191697,
        0.0182186,
        0.0191697,
        0.0192199,
        0.0191697,
        0.0192199,
        0.0191697,
        0.0192199,
        0.019393,
        0.0194739,
        0.0197831,
        0.019393,
        0.019393,
        0.0197831,
        0.0197831,
        0.0203052,
        0.0203052,
        0.0203052,
        0.0203052,
        0.0197831,
        0.0195596,
        0.0195596,
        0.0195596,
        0.019393,
        0.019393,
        0.019393,
        0.0192199,
        0.019393,
        0.0195596,
        0.019393,
        0.019393,
        0.0195596,
        0.0195596,
        0.0197831,
        0.0197831,
        0.0197831,
        0.0195596,
        0.0197831,
        0.0202608,
        0.0202608,
        0.0202608,
        0.0202608,
        0.0203623,
        0.0203623,
        0.0202608,
        0.0202608,
        0.0195596,
        0.0195596,
        0.0202608,
        0.0195596,
        0.0202608,
        0.0203623,
        0.0203623,
        0.0211837,
        0.0212412,
        0.0216983,
        0.0216983,
        0.0216983,
        0.0215189,
        0.0212412,
        0.0212412,
        0.0215189,
        0.0215189,
        0.0215189,
        0.0215189,
        0.0215189,
        0.0215189,
        0.0215189,
        0.0215189,
        0.0216983,
        0.0216983,
        0.0219028,
        0.0219028,
        0.0219028,
        0.0244276,
        0.0244276,
        0.0244276,
        0.0244276,
        0.0242951,
        0.0242951,
        0.0242951,
        0.0242951,
        0.0229594,
        0.022157,
        0.022157,
        0.0219811,
        0.0219028,
        0.0219811,
        0.022157,
        0.0229594,
        0.0232178,
        0.0232178,
        0.0231825,
        0.0229594,
        0.0231825,
        0.0232112,
        0.0231825,
        0.0232112,
        0.0232112,
        0.0231825,
        0.0229594,
        0.0231825,
        0.0229594,
        0.0229594,
        0.0229594,
        0.0229594,
        0.0224529,
        0.0224529,
        0.0231825,
        0.0231825,
        0.0232112,
        0.0232178,
        0.0232178,
        0.0232178,
        0.0232178,
        0.0232112,
        0.0232112,
        0.0232178,
        0.0232817,
        0.0232817,
        0.0232112,
        0.0232112,
        0.0232112,
        0.0232112,
        0.0232817,
        0.0232112,
        0.0231904,
        0.0232817,
        0.0231904,
        0.0231904,
        0.0231904,
        0.0231904,
        0.0224137,
        0.0224137,
        0.021324,
        0.0203066,
        0.0193902,
        0.0203066,
        0.0193902,
        0.0187498,
        0.0187498,
        0.017143,
        0.0168099,
        0.0165,
        0.0165,
        0.0161807,
        0.0159974,
        0.0149696,
        0.0144896,
        0.0144896,
        0.014186,
        0.0132996,
        0.0132996,
        0.0132996,
        0.0132832,
        0.0130881,
        0.0131308,
        0.0131308,
        0.0130881,
        0.0128797,
        0.0128797,
        0.0126075,
        0.0127153,
        0.0128797,
        0.0128797,
        0.0130881,
        0.0130881,
        0.0131308,
        0.0130881,
        0.0131308,
        0.0132832,
        0.0132996,
        0.0132832,
        0.0132832,
        0.0132996,
        0.0132996,
        0.0133555,
        0.013402,
        0.013402,
        0.0137589,
        0.013402,
        0.0137589,
        0.013843,
        0.013843,
        0.013843,
        0.013843,
        0.013843,
        0.013843,
        0.0136767,
        0.013843,
        0.013843,
        0.0143212,
        0.0143212,
        0.016022,
        0.0143212,
        0.0143212,
        0.0143212,
        0.0152553,
        0.0143212,
        0.0152553,
        0.0143212,
        0.0143212,
        0.0136767,
        0.0143212,
        0.0136767,
        0.0143212,
        0.0136767,
        0.0136767,
        0.0136767,
        0.0136767,
        0.0127588,
        0.0136767,
        0.0136767,
        0.0127588,
        0.0124856,
        0.0127588,
        0.0150892,
        0.0150915,
        0.0152522,
        0.0152553,
        0.0152553,
        0.0154455,
        0.0152553,
        0.0152553,
        0.0152522,
        0.0152553,
        0.0152522,
        0.0154455,
        0.0152522,
        0.0154455,
        0.0154455,
        0.0157353,
        0.0154455,
        0.0157353,
        0.0157353,
        0.0163143,
        0.0163143,
        0.0163143,
        0.0163143,
        0.0163143,
        0.0157353,
        0.0163143,
        0.0161173,
        0.0161173,
        0.0161173,
        0.0161173,
        0.0161173,
        0.0163143,
        0.0161173,
        0.0161173,
        0.0158828,
        0.0158828,
        0.015542,
        0.015542,
        0.015542,
        0.015542,
        0.0148489,
        0.0141272,
        0.0139891,
        0.0139891,
        0.0138855,
        0.0136197,
        0.0125824,
        0.0124063,
        0.0124063,
        0.0119181,
        0.0119181,
        0.0116237,
        0.0116237,
        0.0115928,
        0.0115928,
        0.0113466,
        0.0113466,
        0.0113171,
        0.0113171,
        0.0113171,
        0.0110693,
        0.0109891,
        0.0109891,
        0.0109891,
        0.0109891,
        0.0109891,
        0.0109891,
        0.0103928,
        0.0109891,
        0.0109891,
        0.0110693,
        0.0110693,
        0.0109891,
        0.0109891,
        0.0109891,
        0.0109417,
        0.0109891,
        0.0109417,
        0.0109417,
        0.0109417,
        0.0109891,
        0.0109417,
        0.0109417,
        0.0109417,
        0.0109417,
        0.0109417,
        0.0109891,
        0.0109417,
        0.0109417,
        0.0109417,
        0.0109417,
        0.0111249,
        0.0113423,
        0.0113423,
        0.0124003,
        0.0124003,
        0.0124003,
        0.0133926,
        0.0134153,
        0.013952,
        0.013952,
        0.013952,
        0.0143086,
        0.0146522,
        0.0147422,
        0.0147422,
        0.0147422,
        0.0147422,
        0.0147422,
        0.0147422,
        0.0153118,
        0.0147422,
        0.0147422,
        0.0147422,
        0.0147422,
        0.0147422,
        0.0153118,
        0.0147422,
        0.0153118,
        0.0147422,
        0.0146522,
        0.0146403,
        0.014428,
        0.0143086,
        0.014428,
        0.0140974,
        0.0135743,
        0.0134766,
        0.0134766,
        0.0134766,
        0.0134766,
        0.0135743,
        0.0134766,
        0.0134766,
        0.0132538,
        0.0132538,
        0.0134766,
        0.0135743,
        0.0132538,
        0.0135743,
        0.0132538,
        0.0114217,
        0.0114217,
        0.0132538,
        0.0132538,
        0.0132538,
        0.0132538,
        0.0132538,
        0.0135743,
        0.0132538,
        0.0132538,
        0.0135743,
        0.0135743,
        0.0138981,
        0.0139123,
        0.0139123,
        0.0139123,
        0.0140909,
        0.0140909,
        0.0139321,
        0.0140909,
        0.0139321,
        0.0139123,
        0.0139123,
        0.0139123,
        0.0139123,
        0.0128128,
        0.0128128,
        0.0128128,
        0.0128128,
        0.0126613,
        0.0126613,
        0.0128128,
        0.0128128,
        0.0128128,
        0.0129439,
        0.0128128,
        0.0129439,
        0.0128128,
        0.0128128,
        0.0129327,
        0.0129439,
        0.0129327,
        0.0129327,
        0.0128128,
        0.0128128,
        0.0128128,
        0.0129327,
        0.0129327,
        0.0129327,
        0.0129439,
        0.0129439,
        0.0132244,
        0.0132244,
        0.0132244,
        0.0129439,
        0.0132244,
        0.0132244,
        0.0132244,
        0.0129439,
        0.0130401,
        0.0130401,
        0.0130401,
        0.0130401,
        0.0132244,
        0.0132244,
        0.0130401,
        0.0132244,
        0.0132244,
        0.0132244,
        0.013962,
        0.013962,
        0.0130401,
        0.0130401,
        0.0130401,
        0.013962,
        0.0130401,
        0.0127986,
        0.0121035,
        0.0121035,
        0.011803,
        0.011766,
        0.0114132,
        0.00967447,
        0.00936894,
        0.00967447,
        0.0100704,
        0.00967447,
        0.00967447,
        0.00932982,
        0.00932982,
        0.00838702,
        0.00846151,
        0.00838702,
        0.00817096,
        0.00786636,
        0.00786636,
        0.00817096,
        0.00817096,
        0.00786636,
        0.00786636,
        0.00786636,
        0.00786636,
        0.00786636,
        0.00786636,
        0.00817096,
        0.00817096,
        0.00838702,
        0.00846151,
        0.00905013,
        0.00905013,
        0.00905013,
        0.00846151,
        0.00905013,
        0.00920715,
        0.00945656,
        0.00920715,
        0.00920715,
        0.0092787,
        0.00945656,
        0.00957428,
        0.00957428,
        0.0108043,
        0.0108043,
        0.0108043,
        0.0108711,
        0.0108711,
        0.0108711,
        0.0108711,
        0.0108043,
        0.0108108,
        0.0108108,
        0.0108108,
        0.0108043,
        0.0108043,
        0.0102445,
        0.0100365,
        0.0100365,
        0.00990147,
        0.00990147,
        0.0097646,
        0.0092787,
        0.0092787,
        0.00963686,
        0.00963686,
        0.00963686,
        0.00963686,
        0.0097646,
        0.0097646,
        0.00963686,
        0.00883131,
        0.00883131,
        0.00883131,
        0.00883131,
        0.00883131,
        0.00963686,
        0.00883131,
        0.00883131,
        0.00883131,
        0.00883131,
        0.00853512,
        0.00841688,
        0.00805186,
        0.00768415,
        0.00768415,
        0.00768415,
        0.00768415,
        0.00768415,
        0.00805186,
        0.00841688,
        0.00805186,
        0.00805186,
        0.00841688,
        0.00805186,
        0.00805186,
        0.00805186,
        0.00805186,
        0.00805186,
        0.00801917,
        0.00801917,
        0.00768415,
        0.00768415,
        0.00768415,
        0.00768415,
        0.00768415,
        0.00768415,
        0.00768415,
        0.00801917,
        0.00832079,
        0.00801917,
        0.00832079,
        0.00832079,
        0.00867525,
        0.0089171,
        0.0089171,
        0.0089171,
        0.00941054,
        0.00960336,
        0.00960336,
        0.00960336,
        0.00960336,
        0.00960336,
        0.00960336,
        0.00971047,
        0.00987904,
        0.00971047,
        0.00960336,
        0.00960336,
        0.00971047,
        0.00971047,
        0.00971047,
        0.00971047,
        0.00971047,
        0.00960336,
        0.00960336,
        0.00821535,
        0.00821535,
        0.00821535,
        0.00821535,
        0.00821535,
        0.00821535,
        0.00821535,
        0.00827597,
        0.00827597,
        0.00821535,
        0.00827597,
        0.00827597,
        0.00827597,
        0.00827597,
        0.00827597,
        0.00827597,
        0.00922539,
        0.00923837,
        0.00923837,
        0.00923837,
        0.00923837,
        0.0101656,
        0.010596,
        0.0106808,
        0.0101656,
        0.0106808,
        0.0112934,
        0.011651,
        0.0121303,
        0.0122196,
        0.0122196,
        0.01235,
        0.01235,
        0.0124477,
        0.0128561,
        0.0128561,
        0.0134559,
        0.0134559,
        0.0134559,
        0.0134559,
        0.0134559,
        0.0128561,
        0.0128561,
        0.0128561,
        0.0134559,
        0.0136649,
        0.0134559,
        0.0128561,
        0.0134559,
        0.0136649,
        0.0136649,
        0.0136649,
        0.0134559,
        0.0134559,
        0.0134559,
        0.0134559,
        0.0129797,
        0.0128325,
        0.0129797,
        0.0136649,
        0.0136649,
        0.0136649,
        0.0136649,
        0.0131171,
        0.0129797,
        0.0129797,
        0.0128325,
        0.0124349,
        0.0122918,
        0.0122918,
        0.0124349,
        0.0129797,
        0.0129797,
        0.0124349,
        0.0124349,
        0.0113152,
        0.0112495,
        0.0113152,
        0.0117139,
        0.0117139,
        0.0117139,
        0.0117139,
        0.0117139,
        0.0124349,
        0.0124349,
        0.0124349,
        0.0124349,
        0.0131171,
        0.0131171,
        0.0130102,
        0.0130102,
        0.0130102,
        0.0130102,
        0.0130102,
        0.0138671,
        0.0138671,
        0.0138671,
        0.0141222,
        0.0141222,
        0.0141372,
        0.0141372,
        0.0141222,
        0.0141222,
        0.0141222,
        0.0141222,
        0.0141222,
        0.0141372,
        0.0143961,
        0.0143961,
        0.0143961,
        0.0157257,
        0.0141372,
        0.0157257,
        0.0161478,
        0.0161478,
        0.0158196,
        0.0161478,
        0.0161478,
        0.0159011,
        0.0159011,
        0.0161478,
        0.0161478,
        0.0159011,
        0.0159011,
        0.0161478,
        0.0166642,
        0.0168354,
        0.0166642,
        0.0159011,
        0.0159011,
        0.0159011,
        0.0158196,
        0.0158529,
        0.0158196,
        0.0158529,
        0.0159011,
        0.0159011,
        0.0159011,
        0.0158529,
        0.0159011,
        0.0159011,
        0.0158529,
        0.0159011,
        0.0158529,
        0.0158196,
        0.0154504,
        0.0154504,
        0.0154429,
        0.0154429,
        0.0154504,
        0.0158529,
        0.0158529,
        0.0158529,
        0.0159907,
        0.0159907,
        0.0159907,
        0.0159907,
        0.0159907,
        0.0167569,
        0.0177636,
        0.018745,
        0.018745,
        0.018745,
        0.018745,
        0.018745,
        0.018745,
        0.018745,
        0.0181785,
        0.018745,
        0.018745,
        0.0181785,
        0.0181785,
        0.018745,
        0.0181785,
        0.0181785,
        0.0185961,
        0.0185961,
        0.0181785,
        0.0181785,
        0.0180373,
        0.0167569,
        0.0180373,
        0.0180373,
        0.0180373,
        0.0180373,
        0.0181785,
        0.0181785,
        0.0181785,
        0.0181785,
        0.0181785,
        0.0180373,
        0.0180373,
        0.0181785,
        0.0185961,
        0.0190482,
        0.0196302,
        0.0196302,
        0.0190482,
        0.0190482,
        0.0190482,
        0.0190482,
        0.0196302,
        0.0202535,
        0.0207161,
        0.0207161,
        0.0208119,
        0.0221844,
        0.0221844,
        0.0221844,
        0.0221844,
        0.0221844,
        0.0221844,
        0.0208119,
        0.0207161,
        0.0207161,
        0.0207161,
        0.0207161,
        0.0193337,
        0.0193337,
        0.0191735,
        0.0190337,
        0.0191735,
        0.0191735,
        0.0191735,
        0.0190337,
        0.0190337,
        0.0190337,
        0.0190337,
        0.0191735,
        0.0193337,
        0.0191735,
        0.0191735,
        0.0191735,
        0.0190028,
        0.0190028,
        0.0190028,
        0.0184736,
        0.0176656,
        0.0184736,
        0.0184736,
        0.0176656,
        0.0176656,
        0.0176656,
        0.0176656,
        0.0176656,
        0.0182672,
        0.0182672,
        0.0176656,
        0.0176656,
        0.0182672,
        0.0182672,
        0.0182672,
        0.0182672,
        0.0182672,
        0.0182672,
        0.0186736,
        0.0186736,
        0.0186736,
        0.0186736,
        0.0186736,
        0.0186736,
        0.0190028,
        0.0190348,
        0.0190348,
        0.0190348,
        0.0190348,
        0.0205764,
        0.0205764,
        0.0205764,
        0.0221152,
        0.0219634,
        0.0219634,
        0.0219634,
        0.0221152,
        0.0221609,
        0.0221609,
        0.0223005,
        0.0223005,
        0.0223005,
        0.0223005,
        0.0223005,
        0.0223005,
        0.0223005,
        0.0223005,
        0.0223005,
        0.0228555,
        0.0241967,
        0.0241967,
        0.0228555,
        0.0240839,
        0.0240839,
        0.0241967,
        0.0241967,
        0.0241967,
        0.0241967,
        0.0241967,
        0.0240839,
        0.0240839,
        0.0241967,
        0.0241967,
        0.0252621,
        0.026317,
        0.026317,
        0.026317,
        0.0252621,
        0.0252621,
        0.026317,
        0.026317,
        0.0268549,
        0.0268549,
        0.0268549,
        0.0268549,
        0.0268549,
        0.0268549,
        0.0268549,
        0.0268549,
        0.026317,
        0.026317,
        0.026317,
        0.026317,
        0.026317,
        0.026317,
        0.026317,
        0.026317,
        0.0252755,
        0.0252755,
        0.025958,
        0.025958,
        0.025958,
        0.025958,
        0.025958,
        0.0253401,
        0.0253401,
        0.025958,
        0.025958,
        0.0260792,
        0.0260792,
        0.025958,
        0.025958,
        0.025958,
        0.025958,
        0.025958,
        0.0253401,
        0.0259101,
        0.0259101,
        0.0259101,
        0.0259101,
        0.0259101,
        0.0253401,
        0.0253401,
        0.0259101,
        0.0259101,
        0.0253401,
        0.0259101,
        0.0259101,
        0.0259101,
        0.0259101,
        0.0253401,
        0.0253401,
        0.0247176,
        0.0247176,
        0.0253401,
        0.0253401,
        0.0253401,
        0.0253401,
        0.0259101,
        0.0259101,
        0.0259101,
        0.0268492,
        0.0260808,
        0.0260808,
        0.0289156,
        0.0289156,
        0.0289156,
        0.0294272,
        0.029458,
        0.0294272,
        0.0294272,
        0.029458,
        0.029458,
        0.0294272,
        0.0294272,
        0.0294272,
        0.029458,
        0.0294918,
        0.0298665,
        0.029902,
        0.0298665,
        0.029902,
        0.0306994,
        0.0306994,
        0.029902,
        0.029902,
        0.029902,
        0.0298665,
        0.0294918,
        0.0294918,
        0.029458,
        0.0292805,
        0.0279122,
        0.0279122,
        0.0272115,
        0.0269766,
        0.0269766,
        0.0269766,
        0.0259024,
        0.0256009,
        0.0253611,
        0.0250011,
        0.0242297,
        0.0242219,
        0.0242297,
        0.0242297,
        0.0242297,
        0.0242297,
        0.0242297,
        0.0242297,
        0.0242297,
        0.0250011,
        0.0242297,
        0.0242219,
        0.0242297,
        0.0242297,
        0.0242297,
        0.0242219,
        0.0233145,
        0.0225757,
        0.0225757,
        0.0231494,
        0.0231494,
        0.0231598,
        0.0231598,
        0.0231598,
        0.0242219,
        0.0231598,
        0.0231598,
        0.0231494,
        0.0231494,
        0.0230805,
        0.0231494,
        0.0231598,
        0.0232806,
        0.0231598,
        0.0231494,
        0.0231494,
        0.0230805,
        0.0230805,
        0.0224771,
        0.0224771,
        0.0221794,
        0.0224771,
        0.0229586,
        0.0224771,
        0.0224771,
        0.0224771,
        0.0229586,
        0.0229586,
        0.0229586,
        0.0229586,
        0.0229586,
        0.0230805,
        0.0230805,
        0.0232806,
        0.0229586,
        0.0224771,
        0.0224771,
        0.0224771,
        0.0229586,
        0.0232806,
        0.0241341,
        0.0232806,
        0.0229586,
        0.0224771,
        0.0224771,
        0.0229586,
        0.0224771,
        0.0229586,
        0.0219052,
        0.0219052,
        0.0218923,
        0.0219052,
        0.0219052,
        0.0219052,
        0.0220181,
        0.0220181,
        0.0219052,
        0.0219052,
        0.0220181,
        0.0220181,
        0.0220181,
        0.0219052,
        0.0218707,
        0.0212669,
        0.0199501,
        0.0199501,
        0.0199501,
        0.018663,
        0.0183423,
        0.0180392,
        0.0179425,
        0.0177595,
        0.0177595,
        0.017314,
        0.0163923,
        0.0163807,
        0.0163807,
        0.0163807,
        0.0161933,
        0.0161933,
        0.0161933,
        0.0161933,
        0.0153557,
        0.0153557,
        0.0151463,
        0.0151463,
        0.0151463,
        0.0153557,
        0.0153557,
        0.0153557,
        0.0153557,
        0.0153557,
        0.0153557,
        0.0153557,
        0.0153557,
        0.0153557,
        0.0154253,
        0.0156835,
        0.0156835,
        0.0156835,
        0.0154253,
        0.0153557,
        0.0153557,
        0.0153557,
        0.0153557,
        0.0153557,
        0.0154253,
        0.0153557,
        0.0151463,
        0.0151463,
        0.0145788,
        0.0145788,
        0.0145788,
        0.0144292,
        0.0133125,
        0.0135814,
        0.0133125,
        0.012825,
        0.0126675,
        0.0126675,
        0.0122893,
        0.0121782,
        0.0121782,
        0.0121782,
        0.0121782,
        0.0115876,
        0.0115774,
        0.0115774,
        0.0115774,
        0.0121782,
        0.0115774,
        0.0115774,
        0.0121782,
        0.0122893,
        0.0122893,
        0.012825,
        0.012825,
        0.0122893,
        0.012825,
        0.012825,
        0.0132262,
        0.0132262,
        0.0132262,
        0.012825,
        0.0121782,
        0.0120939,
        0.0117931,
        0.0117931,
        0.010703,
        0.010703,
        0.010703,
        0.0117931,
        0.0120939,
        0.0120939,
        0.0120939,
        0.0117931,
        0.0117931,
        0.0117931,
        0.010703,
        0.0102337,
        0.00952547,
        0.0102337,
        0.010703,
        0.010703,
        0.010703,
        0.0102337,
        0.0102337,
        0.010703,
        0.0110048,
        0.0102337,
        0.0105312,
        0.0102337,
        0.0102337,
        0.0102337,
        0.009887,
        0.0102337,
        0.0105312,
        0.0110048,
        0.0110048,
        0.0110048,
        0.011218,
        0.011218,
        0.0110048,
        0.0105312,
        0.009887,
        0.00968107,
        0.00968107,
        0.00968107,
        0.00968107,
        0.00968107,
        0.00968107,
        0.00968107,
        0.00945882,
        0.00803965,
        0.00803965,
        0.00803965,
        0.00803965,
        0.00803965,
        0.00803965,
        0.00764827,
        0.00764827,
        0.00755534,
        0.00764827,
        0.00803965,
        0.00764827,
        0.00764827,
        0.00764827,
        0.00764827,
        0.00758465,
        0.00764827,
        0.00803965,
        0.00803965,
        0.00764827,
        0.00764827,
        0.00764827,
        0.00758465,
        0.00764827,
        0.00764827,
        0.00843981,
        0.00868946,
        0.00895867,
        0.00923664,
        0.00923664,
        0.00968649,
        0.00968649,
        0.00987713,
        0.00987713,
        0.00968649,
        0.00968649,
        0.00968649,
        0.00987713,
        0.00987713,
        0.00997432,
        0.00997432,
        0.00987713,
        0.00987713,
        0.00968649,
        0.00895867,
        0.00874193,
        0.00874193,
        0.00847563,
        0.00847563,
        0.00818207,
        0.00818207,
        0.00847563,
        0.00874193,
        0.00895867,
        0.00874193,
        0.00847563,
        0.00847563,
        0.00847563,
        0.00847563,
        0.00847563,
        0.00874193,
        0.00874193,
        0.00889051,
        0.00889051,
        0.00901091,
        0.00901091,
        0.00889051,
        0.00847563,
        0.00847563,
        0.00889051,
        0.00847563,
        0.00889051,
        0.00901091,
        0.00916083,
        0.0094086,
        0.0100955,
        0.0101839,
        0.0101839,
        0.0101839,
        0.0101839,
        0.0106193,
        0.0108572,
        0.0106936,
        0.0106193,
        0.0106193,
        0.0106193,
        0.0106193,
        0.0101839,
        0.0101839,
        0.0101839,
        0.0100955,
        0.0100955,
        0.0100955,
        0.00994473,
        0.00994473,
        0.00956723,
        0.00956723,
        0.00956723,
        0.00957744,
        0.00957744,
        0.00956723,
        0.00956723,
        0.00941793,
        0.00941793,
        0.00905439,
        0.00887911,
        0.0088085,
        0.00876721,
        0.00872507,
        0.00872507,
        0.00859791,
        0.00836045,
        0.00780463,
        0.00716803,
        0.0067876,
        0.0067876,
        0.0066226,
        0.00632089,
        0.00632089,
        0.0066226,
        0.0066226,
        0.0066226,
        0.0066226,
        0.00686717,
        0.00686717,
        0.00673523,
        0.00632089,
        0.00599723,
        0.00599723,
        0.00592173,
        0.00592173,
        0.00579294,
        0.00592173,
        0.00593859,
        0.00592173,
        0.00592173,
        0.00592173,
        0.00592173,
        0.00579294,
        0.00579294,
        0.00565313,
        0.00528025,
        0.00528025,
        0.00528025,
        0.00528025,
        0.00565313,
        0.00565313,
        0.00560445,
        0.00560445,
        0.00560445,
        0.00540983,
        0.00540983,
        0.00544161,
        0.00544161,
        0.00544161,
        0.00540983,
        0.00540983,
        0.00540983,
        0.00507154,
        0.00519521,
        0.00540983,
        0.00540983,
        0.00544161,
        0.00544161,
        0.00544161,
        0.00560445,
        0.00544161,
        0.00560445,
        0.00560445,
        0.00586033,
        0.00586033,
        0.00586033,
        0.00586033,
        0.0059909,
        0.0059909,
        0.00603372,
        0.0059909,
        0.0059909,
        0.0059909,
        0.0059909,
        0.00587935,
        0.00597556,
        0.00587935,
        0.00587935,
        0.00587935,
        0.00587935,
        0.00597556,
        0.00597556,
        0.00597556,
        0.0059909,
        0.0059909,
        0.00597556,
        0.00597556,
        0.00597556,
        0.00587935,
        0.00574035,
        0.00559008,
        0.00574035,
        0.00559008,
        0.00574035,
        0.00574035,
        0.00574035,
        0.00574035,
        0.00587935,
        0.00587935,
        0.00587935,
        0.00587935,
        0.00597556,
        0.00625646,
        0.00628221,
        0.00628558,
        0.00666865,
        0.00691271,
        0.00709585,
        0.00709585,
        0.00709585,
        0.00709585,
        0.00691271,
        0.0066625,
        0.00691271,
        0.00691271,
        0.00691271,
        0.00709585,
        0.00691271,
        0.0066625,
        0.0066625,
        0.00691271,
        0.00691271,
        0.00692991,
        0.00692991,
        0.00691271,
        0.00691271,
        0.00692991,
        0.00709585,
        0.00714065,
        0.00714065,
        0.00714065,
        0.00714065,
        0.00709585,
        0.00692991,
        0.0066625,
        0.00643849,
        0.00617698,
        0.00546078,
        0.0051535,
        0.0051535,
        0.0051535,
        0.00512909,
        0.0051535,
        0.00546078,
        0.00546078,
        0.00546078,
        0.00569262,
        0.00569262,
        0.0059465,
        0.00617698,
        0.00617698,
        0.00617698,
        0.00617698,
        0.0059465,
        0.00617698,
        0.00643678,
        0.00644306,
        0.00644306,
        0.00644306,
        0.00644306,
        0.00644306,
        0.00656099,
        0.00644306,
        0.00650415,
        0.00656099,
        0.00676462,
        0.00682749,
        0.00682749,
        0.00682749,
        0.00682749,
        0.00682749,
        0.00682749,
        0.0071277,
        0.0071277,
        0.00725764,
        0.0071277,
        0.00682749,
        0.00682749,
        0.00676462,
        0.00682749,
        0.00682749,
        0.00676462,
        0.00676462,
        0.00676462,
        0.00682749,
        0.00682749,
        0.00682749,
        0.00651593,
        0.00651593,
        0.00650415,
        0.00650415,
        0.00650415,
        0.00629726,
        0.00650415,
        0.00651593,
        0.00651593,
        0.00651593,
        0.00651593,
        0.00670216,
        0.00710127,
        0.0071277,
        0.0071277,
        0.0071277,
        0.00782171,
        0.00782171,
        0.00710127,
        0.00710127,
        0.00821569,
        0.00823159,
        0.00823159,
        0.00821569,
        0.00710127,
        0.00710127,
        0.00821569,
        0.00821569,
        0.00821569,
        0.00837545,
        0.00842398,
        0.0087487,
        0.00891205,
        0.00946506,
        0.00946506,
        0.00932395,
        0.00932395,
        0.00891205,
        0.0087487,
        0.00842398,
        0.00837545,
        0.00837545,
        0.00837545,
        0.00837545,
        0.00803542,
        0.00837545,
        0.00837545,
        0.00837545,
        0.00842398,
        0.00932395,
        0.00932395,
        0.00932395,
        0.00946506,
        0.00946506,
        0.00946506,
        0.00947232,
        0.00989003,
        0.00947232,
        0.00989003,
        0.0101227,
        0.0103782,
        0.0103782,
        0.0103782,
        0.0104322,
        0.0104322,
        0.0104322,
        0.010712,
        0.0109355,
        0.0113804,
        0.0118206,
        0.0125915,
        0.0125915,
        0.0131947,
        0.0131947,
        0.0125915,
        0.0125915,
        0.0131947,
        0.0131947,
        0.013539,
        0.0135479,
        0.0135479,
        0.0135479,
        0.0135479,
        0.0135691,
        0.0138442,
        0.0139412,
        0.0139412,
        0.0138442,
        0.0138442,
        0.0139412,
        0.0139412,
        0.0139412,
        0.0148303,
        0.0148303,
        0.0139412,
        0.0139412,
        0.0148303,
        0.0148303,
        0.0161664,
        0.0161284,
        0.0161664,
        0.0168563,
        0.0168563,
        0.0168563,
        0.0187921,
        0.0187921,
        0.0187921,
        0.0190246,
        0.0190246,
        0.0190246,
        0.0187921,
        0.0181447,
        0.0181447,
        0.0181447,
        0.0178161,
        0.017753,
        0.0168563,
        0.0161284,
        0.0161284,
        0.0168563,
        0.0161284,
        0.0158658,
        0.0158524,
        0.0158524,
        0.0153861,
        0.0153861,
        0.0153861,
        0.0153861,
        0.0153861,
        0.0153861,
        0.0153861,
        0.0153861,
        0.0153861,
        0.0158524,
        0.0158658,
        0.0158524,
        0.0158658,
        0.0158658,
        0.0158658,
        0.0178161,
        0.0181447,
        0.0179459,
        0.0179459,
        0.0179459,
        0.0195662,
        0.0195662,
        0.0195662,
        0.0195662,
        0.0195662,
        0.0195662,
        0.0179459,
        0.0179459,
        0.0179459,
        0.0179459,
        0.0176149,
        0.0176149,
        0.0176149,
        0.0176149,
        0.0168933,
        0.0158439,
        0.0154668,
        0.015362,
        0.015362,
        0.015362,
        0.0151586,
        0.0151586,
        0.0150727,
        0.0150727,
        0.0148979,
        0.0148979,
        0.0137985,
        0.0137985,
        0.0137985,
        0.0148979,
        0.0148979,
        0.0146167,
        0.0148979,
        0.0148979,
        0.0150727,
        0.0153314,
        0.015362,
        0.015362,
        0.015637,
        0.0161314,
        0.0168933,
        0.0175349,
        0.0175349,
        0.0175349,
        0.0175587,
        0.0175587,
        0.0184658,
        0.019267,
        0.0196721,
        0.0196865,
        0.0200031,
        0.0201504,
        0.0204153,
        0.0204153,
        0.0204153,
        0.020918,
        0.0215742,
        0.0215742,
        0.0215742,
        0.0215742,
        0.0215742,
        0.0215742,
        0.0215742,
        0.0215742,
        0.0215742,
        0.0215192,
        0.0215192,
        0.0215192,
        0.0215192,
        0.0211699,
        0.020918,
        0.0196828,
        0.0196018,
        0.0196018,
        0.0196018,
        0.0196828,
        0.0196828,
        0.0196828,
        0.0196828,
        0.0196828,
        0.0196018,
        0.0196018,
        0.0196018,
        0.0192955,
        0.0192955,
        0.0192955,
        0.0192955,
        0.0191353,
        0.0191353,
        0.0187735,
        0.0187735,
        0.0185934,
        0.0185934,
        0.0185934,
        0.0185346,
        0.0183415,
        0.0183415,
        0.01828,
        0.0180641,
        0.0180641,
        0.0180641,
        0.01828,
        0.01828,
        0.0180641,
        0.0167934,
        0.0180641,
        0.0180641,
        0.0183415,
        0.0183415,
        0.0183415,
        0.018274,
        0.0183415,
        0.0183415,
        0.0183415,
        0.0185346,
        0.0185346,
        0.0185346,
        0.0185346,
        0.0191031,
        0.0193261,
        0.0193261,
        0.0193261,
        0.0198289,
        0.0198289,
        0.0204786,
        0.0211834,
        0.0212431,
        0.0212431,
        0.0212431,
        0.0213097,
        0.0218673,
        0.0219008,
        0.0224441,
        0.0224441,
        0.0229772,
        0.0229772,
        0.0224441,
        0.0218673,
        0.0218673,
        0.0222127,
        0.0218673,
        0.0218673,
        0.0222127,
        0.0222127,
        0.0224441,
        0.0229772,
        0.0229772,
        0.0224441,
        0.0223396,
        0.0223396,
        0.0223396,
        0.0223396,
        0.0222127,
        0.0218406,
        0.0222127,
        0.0223396,
        0.0223396,
        0.0223396,
        0.0223396,
        0.0223396,
        0.0222127,
        0.0218406,
        0.0217271,
        0.0217271,
        0.0217271,
        0.021722,
        0.021722,
        0.021722,
        0.021722,
        0.021722,
        0.0215963,
        0.021722,
        0.0215963,
        0.0215963,
        0.0213353,
        0.0212876,
        0.0211365,
        0.0212876,
        0.0212876,
        0.0213353,
        0.0212876,
        0.0212876,
        0.0211365,
        0.0212876,
        0.0213353,
        0.0212876,
        0.0211365,
        0.0210893,
        0.0208376,
        0.0210893,
        0.0208376,
        0.0208376,
        0.0211365,
        0.0212876,
        0.0211365,
        0.0208376,
        0.0207808,
        0.0208376,
        0.0208376,
        0.0212876,
        0.0208376,
        0.0208376,
        0.0207808,
        0.0208376,
        0.0207808,
        0.0208376,
        0.0206928,
        0.0208376,
        0.0206928,
        0.020552,
        0.0202473,
        0.020552,
        0.0204033,
        0.0204033,
        0.0202473,
        0.0197315,
        0.0197315,
        0.0202473,
        0.0202473,
        0.0202473,
        0.0201557,
        0.0202473,
        0.0201557,
        0.0197315,
        0.0197315,
        0.0201557,
        0.0201557,
        0.0201557,
        0.0201557,
        0.0201557,
        0.0201557,
        0.0201557,
        0.0204033,
        0.020552,
        0.020552,
        0.020691,
        0.020691,
        0.0210595,
        0.0210595,
        0.021448,
        0.0223297,
        0.0223297,
        0.0223297,
        0.0223297,
        0.0223297,
        0.0223297,
        0.0223297,
        0.0223889,
        0.0223297,
        0.0223889,
        0.0223297,
        0.0223889,
        0.0226112,
        0.0227695,
        0.0227695,
        0.02294,
        0.02294,
        0.0230588,
        0.0234017,
        0.0234017,
        0.0230588,
        0.0230588,
        0.02294,
        0.0230588,
        0.0230588,
        0.02294,
        0.02294,
        0.0230588,
        0.0235143,
        0.0235282,
        0.0235282,
        0.0235143,
        0.0235143,
        0.0235282,
        0.0235282,
        0.0240965,
        0.0240965,
        0.0241353,
        0.0242386,
        0.0244541,
        0.0244541,
        0.0244541,
        0.0244541,
        0.0244746,
        0.0244746,
        0.0244746,
        0.0244541,
        0.0242386,
        0.0241353,
        0.0241353,
        0.0238997,
        0.0238997,
        0.0236002,
        0.0236002,
        0.0229408,
        0.0236002,
        0.0236002,
        0.0229408,
        0.0228934,
        0.0228934,
        0.0228934,
        0.0228934,
        0.0229408,
        0.0236002,
        0.0236002,
        0.0238997,
        0.0238997,
        0.0242777,
        0.0242777,
        0.0242777,
        0.0242777,
        0.0263126,
        0.0276008,
        0.030667,
        0.124078,
        0.124527,
        0.124527,
        0.131603,
        0.131603,
        0.131603,
        0.131603,
        0.131603,
        0.131603,
        0.131603,
        0.131603,
        0.131603,
        0.131603,
        0.131603,
        0.131603,
        0.131603,
        0.12883,
        0.12883,
        0.12558,
        0.12558,
        0.124775,
        0.124775,
        0.124527,
        0.124527,
        0.124078,
        0.124078,
        0.120833,
        0.120833,
        0.118044,
        0.118044,
        0.11804,
        0.11804,
        0.117302,
        0.117302,
        0.116393,
        0.117302,
        0.117302,
        0.117958,
        0.117958,
        0.117998,
        0.117958,
        0.117998,
        0.117998,
        0.11965,
        0.117998,
        0.117998,
        0.117998,
        0.117998,
        0.117958,
        0.117998,
        0.117958,
        0.117958,
        0.117781,
        0.117781,
        0.117523,
        0.117523,
        0.117462,
        0.117462,
        0.117328,
        0.117328,
        0.11702,
        0.11702,
        0.116767,
        0.116767,
        0.116165,
        0.116165,
        0.115111,
        0.114363,
        0.112833,
        0.111574,
        0.110889,
        0.109819,
        0.108798,
        0.107604,
        0.101342,
        0.0983483,
        0.0957979,
        0.0957921,
        0.0937285,
        0.0894349,
        0.0891748,
        0.0891602,
        0.0889876,
        0.0867033,
        0.0842334,
        0.0842334,
        0.0839488,
        0.0839488,
        0.0820592,
        0.0820592,
        0.0806867,
        0.0806867,
        0.0793777,
        0.0793777,
        0.0751665,
        0.0751665,
        0.0750609,
        0.0750609,
        0.0751665,
        0.0751665,
        0.0773196,
        0.0751665,
        0.0773196,
        0.0751665,
        0.0773196,
        0.0751665,
        0.0773196,
        0.0750609,
        0.0773196,
        0.0750609,
        0.0773196,
        0.0773196,
        0.0773531,
        0.0773531,
        0.0773196,
        0.0773196,
        0.0728542,
        0.073235,
        0.0728542,
        0.073235,
        0.0728542,
        0.073235,
        0.0728542,
        0.073235,
        0.0728542,
        0.073235,
        0.0728542,
        0.0728542,
        0.07274,
        0.0700895,
        0.0684277,
        0.0666534,
        0.0637251,
        0.0630934,
        0.0630934,
        0.0630551,
        0.0630551,
        0.0630116,
        0.0629389,
        0.062442,
        0.062442,
        0.0620554,
        0.0620554,
        0.0616347,
        0.0610085,
        0.0587887,
        0.0566704,
        0.0556268,
        0.0549786,
        0.0549786,
        0.0549599,
        0.0549599,
        0.0546175,
        0.0546175,
        0.054066,
        0.054066,
        0.0518549,
        0.0483979,
        0.0447193,
        0.0439125,
        0.0437278,
        0.0426245,
        0.0424805,
        0.0423712,
        0.0424805,
        0.0423712,
        0.0423712,
        0.0422052,
        0.0422052,
        0.0417912,
        0.0410803,
        0.0407474,
        0.0376196,
        0.0357007,
        0.0339877,
        0.0338863,
        0.0326928,
        0.032241,
        0.0320975,
        0.0320975,
        0.0315639,
        0.0311338,
        0.0300268,
        0.0293793,
        0.0280129,
        0.0258301,
        0.0258301,
        0.025749,
        0.025749,
        0.025749,
        0.0253269,
        0.0251621,
        0.0251621,
        0.0249072,
        0.0236089,
        0.0227917,
        0.0203214,
        0.0188979,
        0.0188911,
        0.0169265,
        0.0169147,
        0.016731,
        0.0164069,
        0.0162657,
        0.0155615,
        0.0155615,
        0.0155615,
        0.0153659,
        0.0153659,
        0.0150816,
        0.0142364,
        0.0142364,
        0.0142364,
        0.0142364,
        0.0140576,
        0.0131935,
        0.0123553,
        0.0114204,
        0.0111263,
        0.0111192,
        0.0111192,
        0.0111192,
        0.0111192,
        0.0111192,
        0.0111263,
        0.0110395,
        0.0110395,
        0.0111263,
        0.0111263,
        0.0114204,
        0.0114204,
        0.0114204,
        0.0114204,
        0.0111263,
        0.0114204,
        0.0111263,
        0.0111263,
        0.0111263,
        0.0123553,
        0.0123794,
        0.0134397,
        0.01374,
        0.01374,
        0.01374,
        0.01374,
        0.0141357,
        0.0146525,
        0.0152711,
        0.0156402,
        0.01682,
        0.016947,
        0.0174022,
        0.0189764,
        0.0195032,
        0.0195531,
        0.0195531,
        0.0203006,
        0.0210565,
        0.0203006,
        0.0210565,
        0.0212119,
        0.022222,
        0.0227396,
        0.0228568,
        0.0239796,
        0.0244576,
        0.024657,
        0.0257928,
        0.0262529,
        0.0265211,
        0.0269409,
        0.027374,
        0.028236,
        0.0286258,
        0.0292966,
        0.0295673,
        0.032478,
        0.0325754,
        0.0329888,
        0.0330075,
        0.0338714,
        0.0343874,
        0.0344621,
        0.0351707,
        0.0363108,
        0.0370482,
        0.0377526,
        0.037869,
        0.038835,
        0.039414,
        0.0395334,
        0.0395334,
        0.0399249,
        0.0409809,
        0.0411133,
        0.0411133,
        0.0433099,
        0.0433953,
        0.0433953,
        0.0447676,
        0.0452967,
        0.0452967,
        0.0462404,
        0.0469424,
        0.0472457,
        0.0475361,
        0.0478371,
        0.0478802,
        0.04819,
        0.0483239,
        0.0487244,
        0.0489302,
        0.049858,
        0.049858,
        0.049858,
        0.049858,
        0.050975,
        0.0517832,
        0.0517832,
        0.0533317,
        0.0533317,
        0.0535363,
        0.0543625,
        0.0543625,
        0.0557075,
        0.0559428,
        0.0559428,
        0.0564287,
        0.0573109,
        0.0575511,
        0.0577958,
        0.0586265,
        0.0590842,
        0.0601774,
        0.0604745,
        0.06087,
        0.0618927,
        0.0618927,
        0.0618927,
        0.0620662,
        0.0652747,
        0.0656943,
        0.0677858,
        0.0679727,
        0.0690719,
        0.0709388,
        0.0712745,
        0.0720341,
        0.0720998,
        0.0720998,
        0.0735393,
        0.073639,
        0.0739628,
        0.0742114,
        0.0747973,
        0.0751591,
        0.0755256,
        0.0768437,
        0.0779228,
        0.0779228,
        0.0781549,
        0.0784867,
        0.078774,
        0.0790539,
        0.0790539,
        0.0810871,
        0.0810871,
        0.0810871,
        0.0812468,
        0.0812468,
        0.0817118,
        0.0823398,
        0.0817118,
        0.0823398,
        0.0823398,
        0.0837045,
        0.0837045,
        0.0838511,
        0.0843542,
        0.0846794,
        0.0853761,
        0.0857895,
        0.0861922,
        0.0863018,
        0.0861922,
        0.0862143,
        0.0863018,
        0.0866192,
        0.0866192,
        0.0863018,
        0.0875162,
        0.0875162,
        0.0875162,
        0.0875162,
        0.0875162,
        0.0883366,
        0.0875162,
        0.0875162,
        0.0883366,
        0.0886302,
        0.0887068,
        0.0888394,
        0.0888472,
        0.0894662,
        0.0894662,
        0.0897814,
        0.0897814,
        0.090292,
        0.090292,
        0.090292,
        0.0912262,
        0.0912262,
        0.0924954,
        0.0933832,
        0.0935765,
        0.096794,
        0.0991132,
        0.0999076,
        0.101177,
        0.102241,
        0.103738,
        0.104428,
        0.104428,
        0.104463,
        0.10455,
        0.10455,
        0.10455,
        0.10455,
        0.104823,
        0.105201,
        0.105762,
        0.106136,
        0.106136,
        0.106136,
        0.105762,
        0.106252,
        0.105762,
        0.105201,
        0.104945,
        0.104823,
        0.104823,
        0.10455,
        0.104463,
        0.10455,
        0.10455,
        0.10455,
        0.10455,
        0.10455,
        0.104823,
        0.104945,
        0.105777,
        0.105777,
        0.106145,
        0.106252,
        0.106532,
        0.106532,
        0.1067,
        0.107778,
        0.108007,
        0.108977,
        0.108988,
        0.108988,
        0.108988,
        0.111162,
        0.112837,
        0.113877,
        0.11632,
        0.121981,
        0.121981,
        0.121981,
        0.121981,
        0.122377,
        0.122377,
        0.122377,
        0.122377,
        0.122377,
        0.122377,
        0.123499,
        0.123499,
        0.123499,
        0.123499,
        0.123499,
        0.123499,
        0.122377,
        0.122377,
        0.121935,
        0.121408,
        0.120092,
        0.119479,
        0.113193,
        0.111373,
        0.111275,
        0.109151,
        0.1085,
        0.108317,
        0.0758788,
        0.071678,
        0.0699739,
        0.0693978,
        0.0665452,
        0.0659817,
        0.0627428,
        0.06084,
        0.0577992,
        0.0571973,
        0.0557749,
        0.0548377,
        0.0541727,
        0.0536639,
        0.0536454,
        0.0510741,
        0.0504112,
        0.0499874,
        0.0486867,
        0.0423325,
        0.0414248,
        0.0414172,
        0.0412449,
        0.0400118,
        0.039773,
        0.0392025,
        0.0375668,
        0.0342068,
        0.0338318,
        0.0327863,
        0.0310393,
        0.0310393,
        0.0310393,
        0.0310393,
        0.0309925,
        0.0309925,
        0.0309925,
        0.0309925,
        0.0309925,
        0.0309925,
        0.0309925,
        0.0309925,
        0.0309747,
        0.0309747,
        0.0309925,
        0.0309925,
        0.0310393,
        0.031333,
        0.0318205,
        0.0318205,
        0.0328629,
        0.0354224,
        0.0369913,
        0.0369913,
        0.0376808,
        0.0382376,
        0.0388884,
        0.0392672,
        0.0393348,
        0.039729,
        0.039729,
        0.0399815,
        0.0399815,
        0.0399815,
        0.0399815,
        0.0399815,
        0.039729,
        0.0393348,
        0.0393348,
        0.0389288,
        0.0382376,
        0.0382376,
        0.0376808,
        0.0376808,
        0.0376808,
        0.0362448,
        0.0362448,
        0.0362448,
        0.0359706,
        0.0359508,
        0.0359508,
        0.0359508,
        0.031919,
        0.0318697,
        0.0305898,
        0.0303812,
        0.0300504,
        0.0292988,
        0.0291758,
        0.0263235,
        0.0251796,
        0.0247291,
        0.0241,
        0.0233246,
        0.0233246,
        0.023037,
        0.0225374,
        0.0221527,
        0.0221135,
        0.0213012,
        0.02117,
        0.0204885,
        0.0193106,
        0.0192515,
        0.0190411,
        0.0190411,
        0.018737,
        0.0167076,
        0.0167076,
        0.0167076,
        0.0158983,
        0.0158983,
        0.0158524,
        0.0155188,
        0.0152033,
        0.0152033,
        0.0152033,
        0.0152033,
        0.0155188,
        0.0155188,
        0.0155188,
        0.0158524,
        0.0158524,
        0.0158983,
        0.0158983,
        0.0158983,
        0.0171131,
        0.0173169,
        0.0173169,
        0.0184474,
        0.0184474,
        0.0186847,
        0.0186847,
        0.0186847,
        0.018744,
        0.0202887,
        0.0228597,
        0.0231945,
        0.0231945,
        0.0231945,
        0.0232887,
        0.0232887,
        0.0231945,
        0.0232887,
        0.024569,
        0.024569,
        0.024569,
        0.0232887,
        0.0231945,
        0.0231945,
        0.0231945,
        0.0228928,
        0.0228928,
        0.02231,
        0.0222742,
        0.0222742,
        0.0210491,
        0.0210148,
        0.0204726,
        0.0201611,
        0.0192566,
        0.0192566,
        0.0183595,
        0.0183595,
        0.0183595,
        0.0183595,
        0.0181089,
        0.0170595,
        0.016937,
        0.0167567,
        0.0146033,
        0.0145569,
        0.0142723,
        0.0142723,
        0.0142723,
        0.0140488,
        0.0137686,
        0.0136211,
        0.0129509,
        0.0128383,
        0.0128383,
        0.0127856,
        0.0127856,
        0.0128383,
        0.0128383,
        0.0127856,
        0.0127856,
        0.0128383,
        0.0127856,
        0.0128383,
        0.0127856,
        0.0127835,
        0.0127835,
        0.011882,
        0.0117375,
        0.0117375,
        0.0115996,
        0.0115996,
        0.0115996,
        0.0115996,
        0.0117375,
        0.0117389,
        0.0117389,
        0.0117389,
        0.0117375,
        0.0115996,
        0.0115874,
        0.0115342,
        0.0115342,
        0.0115874,
        0.0115874,
        0.0115874,
        0.0115874,
        0.0115342,
        0.0111188,
        0.0110927,
        0.0110819,
        0.0110819,
        0.0103587,
        0.0110819,
        0.0103587,
        0.0103587,
        0.0103587,
        0.0110819,
        0.0110819,
        0.0111188,
        0.0111188,
        0.0115874,
        0.0111188,
        0.0111188,
        0.0111188,
        0.0110819,
        0.0110819,
        0.0108361,
        0.0103587,
        0.0102411,
        0.0102034,
        0.0102411,
        0.0102411,
        0.0103587,
        0.0103587,
        0.0103587,
        0.0103587,
        0.0102411,
        0.0102411,
        0.0102411,
        0.0102411,
        0.0102411,
        0.0103587,
        0.0108361,
        0.0108361,
        0.0108361,
        0.0108361,
        0.0102034,
        0.00999165,
        0.00999165,
        0.00999165,
        0.00997286,
        0.00997286,
        0.00987397,
        0.00997286,
        0.00999165,
        0.00999165,
        0.00999165,
        0.00999165,
        0.00999165,
        0.0109953,
        0.0115214,
        0.011596,
        0.011596,
        0.0111471,
        0.0109953,
        0.0111471,
        0.0111471,
        0.011596,
        0.011596,
        0.011596,
        0.0124799,
        0.0124799,
        0.0124799,
        0.0111471,
        0.0109953,
        0.0111471,
        0.0111471,
        0.0121887,
        0.0124799,
        0.0126378,
        0.0126378,
        0.0126378,
        0.0125588,
        0.0125588,
        0.0125588,
        0.0125588,
        0.0125207,
        0.0125207,
        0.0125588,
        0.0125588,
        0.0125207,
        0.0125207,
        0.0125047,
        0.0125047,
        0.0125047,
        0.0125207,
        0.0125047,
        0.0124799,
        0.0124799,
        0.0124799,
        0.0124799,
        0.0122121,
        0.0122121,
        0.0122121,
        0.0122121,
        0.0125047,
        0.0124482,
        0.0124482,
        0.0122121,
        0.0118559,
        0.0118559,
        0.0115122,
        0.0115122,
        0.0115122,
        0.0118559,
        0.0118559,
        0.0118559,
        0.0118559,
        0.0118455,
        0.0118455,
        0.0118455,
        0.0115122,
        0.0109908,
        0.0115122,
        0.0115122,
        0.0109908,
        0.0109908,
        0.0115122,
        0.0115122,
        0.0109908,
        0.0115122,
        0.0118455,
        0.0118559,
        0.0121192,
        0.0121757,
        0.0121833,
        0.0121833,
        0.0121757,
        0.0121757,
        0.0121757,
        0.0121833,
        0.0121833,
        0.0133326,
        0.0133326,
        0.0133326,
        0.0121833,
        0.0121757,
        0.0121192,
        0.0121757,
        0.0121757,
        0.0121192,
        0.0121192,
        0.0121192,
        0.0121192,
        0.0121192,
        0.0121192,
        0.0121757,
        0.0121192,
        0.0118373,
        0.0118373,
        0.0121192,
        0.0121192,
        0.0118373,
        0.0118373,
        0.0118373,
        0.0118373,
        0.0117083,
        0.0117083,
        0.0117083,
        0.0115086,
        0.0123966,
        0.0123966,
        0.0123966,
        0.0123966,
        0.0126734,
        0.0123966,
        0.0126734,
        0.0127019,
        0.0127023,
        0.0130669,
        0.0133305,
        0.0157626,
        0.0159928,
        0.0161749,
        0.0161818,
        0.016402,
        0.0165956,
        0.0165956,
        0.017021,
        0.0172024,
        0.0180043,
        0.0180043,
        0.0180853,
        0.0187553,
        0.0189915,
        0.0189915,
        0.0190138,
        0.0193362,
        0.0193362,
        0.0193362,
        0.0196823,
        0.0196823,
        0.0196823,
        0.0196823,
        0.0197463,
        0.0197463,
        0.0197463,
        0.0199606,
        0.0199606,
        0.0197463,
        0.0196823,
        0.0194651,
        0.0194651,
        0.0193247,
        0.0193247,
        0.0190138,
        0.0190138,
        0.0180853,
        0.0180043,
        0.0180043,
        0.0180043,
        0.0180853,
        0.0180853,
        0.0190138,
        0.0178973,
        0.0178973,
        0.0178973,
        0.0178973,
        0.0167086,
        0.0167086,
        0.0167086,
        0.0162429,
        0.0162429,
        0.0162429,
        0.0162429,
        0.0162429,
        0.0162429,
        0.0160317,
        0.0154087,
        0.0154087,
        0.0151386,
        0.0151386,
        0.0151386,
        0.0151386,
        0.0151386,
        0.0151386,
        0.0151386,
        0.014023,
        0.0151386,
        0.0160317,
        0.0160317,
        0.0160317,
        0.0160317,
        0.0151386,
        0.014023,
        0.0141679,
        0.0141679,
        0.0141679,
        0.0137162,
        0.0137162,
        0.0141679,
        0.0141679,
        0.0141679,
        0.0141679,
        0.0163128,
        0.0189609,
        0.0189609,
        0.019543,
        0.0210735,
        0.0215649,
        0.0220101,
        0.0226561,
        0.0226561,
        0.0226561,
        0.0226561,
        0.0227764,
        0.0235451,
        0.0235451,
        0.0235451,
        0.0235451,
        0.0235451,
        0.0234925,
        0.0238919,
        0.0241299,
        0.0258678,
        0.0277877,
        0.0284662,
        0.0284662,
        0.028714,
        0.028714,
        0.0287155,
        0.0289555,
        0.0289555,
        0.0287155,
        0.028714,
        0.028714,
        0.0289555,
        0.0297173,
        0.0297173,
        0.0289555,
        0.0289555,
        0.0289555,
        0.028714,
        0.028714,
        0.028714,
        0.0289555,
        0.0297173,
        0.0298226,
        0.0298226,
        0.0298226,
        0.0298226,
        0.0298226,
        0.0300695,
        0.0300695,
        0.0300695,
        0.0302322,
        0.0311722,
        0.0311722,
        0.0319001,
        0.0327619,
        0.0336047,
        0.0336047,
        0.0349484,
        0.0349484,
        0.0355593,
        0.0358764,
        0.0361345,
        0.0358764,
        0.0358764,
        0.0361345,
        0.0370292,
        0.0370292,
        0.0382314,
        0.0386416,
        0.0386416,
        0.0386416,
        0.0386416,
        0.0392954,
        0.0392954,
        0.0392954,
        0.040411,
        0.040411,
        0.040411,
        0.0411524,
        0.040411,
        0.040411,
        0.0411524,
        0.0411524,
        0.0421188,
        0.0424059,
        0.0421188,
        0.0406938,
        0.040411,
        0.040411,
        0.0406938,
        0.0406938,
        0.0406938,
        0.0406938,
        0.0414159,
        0.0406938,
        0.0406938,
        0.0414159,
        0.0415738,
        0.0424059,
        0.0424059,
        0.0431448,
        0.0450327,
        0.0459309,
        0.0478774,
        0.0480774,
        0.0482827,
        0.0482827,
        0.0485682,
        0.0508684,
        0.0517061,
        0.0536821,
        0.054228,
        0.0554896,
        0.0554896,
        0.0561367,
        0.0561367,
        0.0561367,
        0.0575326,
        0.0584636,
        0.0584636,
        0.0584636,
        0.0585263,
        0.0604454,
        0.0604454,
        0.0619407,
        0.0630293,
        0.0630293,
        0.0630293,
        0.0619407,
        0.0630293,
        0.063824,
        0.063824,
        0.0639879,
        0.0639879,
        0.0639879,
        0.0641409,
        0.0641409,
        0.0641409,
        0.0650712,
        0.0663176,
        0.0666035,
        0.0666035,
        0.0666035,
        0.0666035,
        0.0666035,
        0.0675903,
        0.0681568,
        0.0708327,
        0.0708327,
        0.0708327,
        0.0708327,
        0.0708327,
        0.0708327,
        0.0689091,
        0.0689091,
        0.0703157,
        0.0703157,
        0.0703157,
        0.0703157,
        0.0708327,
        0.0703157,
        0.0689091,
        0.0689091,
        0.0689091,
        0.0689091,
        0.0689091,
        0.0688474,
        0.0680199,
        0.0670687,
        0.0670687,
        0.06657,
        0.0663283,
        0.0663283,
        0.0656895,
        0.0656061,
        0.0642474,
        0.0635769,
        0.0614234,
        0.0614234,
        0.0607609,
        0.0602434,
        0.0614234,
        0.0614234,
        0.0614234,
        0.0614234,
        0.0602434,
        0.0602434,
        0.0602434,
        0.059419,
        0.0574402,
        0.0571749,
        0.0574402,
        0.0574402,
        0.0574402,
        0.0574402,
        0.0574402,
        0.0584425,
        0.0584425,
        0.0584425,
        0.0574402,
        0.0571749,
        0.0571749,
        0.0574402,
        0.0584425,
        0.0602434,
        0.0602434,
        0.0603771,
        0.0603771,
        0.0603771,
        0.0598907,
        0.0598907,
        0.0598907,
        0.0584425,
        0.0574402,
        0.0571749,
        0.0563993,
        0.0571749,
        0.0563993,
        0.0563993,
        0.0560618,
        0.0560618,
        0.0560618,
        0.0558929,
        0.0556217,
        0.0544857,
        0.0538914,
        0.0536136,
        0.0536136,
        0.0536125,
        0.0530567,
        0.0530567,
        0.0519642,
        0.0524924,
        0.0519642,
        0.0518829,
        0.051641,
        0.051641,
        0.051342,
        0.051641,
        0.051342,
        0.051342,
        0.0509038,
        0.0501472,
        0.0501472,
        0.0501472,
        0.0501472,
        0.0501472,
        0.0501472,
        0.0501472,
        0.0501472,
        0.0509038,
        0.051342,
        0.0519642,
        0.0519642,
        0.0524868,
        0.0524924,
        0.0538369,
        0.0538369,
        0.0528754,
        0.0528754,
        0.0528754,
        0.0528754,
        0.0538369,
        0.0538369,
        0.0538369,
        0.0541658,
        0.0541658,
        0.0541658,
        0.0541658,
        0.0542836,
        0.0542836,
        0.0538369,
        0.0538369,
        0.0538369,
        0.0538369,
        0.0538093,
        0.0528754,
        0.0497094,
        0.0496644,
        0.0493004,
        0.0493004,
        0.0480662,
        0.0480662,
        0.0479151,
        0.0463614,
        0.0457834,
        0.0452178,
        0.0445891,
        0.0445886,
        0.0445886,
        0.0407886,
        0.0406185,
        0.0407886,
        0.0406185,
        0.0404883,
        0.0392021,
        0.0377008,
        0.0364282,
        0.0364282,
        0.0363841,
        0.0361687,
        0.0361652,
        0.0363841,
        0.0364282,
        0.0377008,
        0.0377008,
        0.0377008,
        0.0364282,
        0.0364282,
        0.0364282,
        0.0364282,
        0.0363841,
        0.0364282,
        0.0364282,
        0.0363841,
        0.0364282,
        0.0377008,
        0.0378364,
        0.038798,
        0.038798,
        0.038798,
        0.038798,
        0.0378364,
        0.0377008,
        0.0377008,
        0.0378364,
        0.0378364,
        0.0378364,
        0.038798,
        0.0378364,
        0.0378364,
        0.038798,
        0.03888,
        0.038798,
        0.0378364,
        0.0378364,
        0.0378364,
        0.0378364,
        0.0378364,
        0.0378364,
        0.038798,
        0.038798,
        0.038798,
        0.038798,
        0.038798,
        0.0407716,
        0.0407716,
        0.040618,
        0.0407716,
        0.0407716,
        0.0424865,
        0.0407716,
        0.0424865,
        0.0424865,
        0.0432303,
        0.0432303,
        0.0432303,
        0.0443662,
        0.0443662,
        0.0432303,
        0.0432303,
        0.0443662,
        0.0443662,
        0.0432303,
        0.0443662,
        0.0458595,
        0.0443662,
        0.0432303,
        0.0424865,
        0.0424865,
        0.0424865,
        0.0421983,
        0.0416246,
        0.0416246,
        0.0407716,
        0.0406409,
        0.040618,
        0.040618,
        0.0390232,
        0.0373783,
        0.0373149,
        0.035921,
        0.0373149,
        0.0373149,
        0.0373783,
        0.0373783,
        0.0368382,
        0.0368382,
        0.035921,
        0.0368382,
        0.0368382,
        0.0368382,
        0.035921,
        0.035921,
        0.035921,
        0.0353995,
        0.0353995,
        0.035921,
        0.0353995,
        0.0295482,
        0.0295482,
        0.0353995,
        0.0295482,
        0.0299749,
        0.0299749,
        0.0299749,
        0.0299749,
        0.0299749,
        0.0308575,
        0.0299749,
        0.0308575,
        0.0308575,
        0.0332071,
        0.0332071,
        0.0332071,
        0.0309152,
        0.0309152,
        0.0309152,
        0.0308575,
        0.0299749,
        0.0299749,
        0.0299749,
        0.0299749,
        0.0299749,
        0.0294575,
        0.0294575,
        0.0299749,
        0.0299749,
        0.0299749,
        0.0308575,
        0.0308575,
        0.0309152,
        0.0309152,
        0.0309152,
        0.0332071,
        0.0332071,
        0.0332071,
        0.0338428,
        0.0350706,
        0.0358542,
        0.0358542,
        0.0350706,
        0.0350706,
        0.0358542,
        0.0350706,
        0.0350706,
        0.0358542,
        0.0358542,
        0.0358542,
        0.0359736,
        0.0391639,
        0.0393901,
        0.0393901,
        0.04276,
        0.0441858,
        0.0450193,
        0.0486791,
        0.0489324,
        0.0489324,
        0.0489324,
        0.0489324,
        0.0526246,
        0.0526246,
        0.0541762,
        0.0558312,
        0.0558312,
        0.0564986,
        0.0576986,
        0.0576986,
        0.0564986,
        0.0558312,
        0.0558312,
        0.0564986,
        0.0564986,
        0.0564986,
        0.0564986,
        0.0561722,
        0.0558312,
        0.0547461,
        0.0558312,
        0.0558312,
        0.0558312,
        0.0547461,
        0.0558312,
        0.0561722,
        0.0564986,
        0.058156,
        0.0629891,
        0.0629891,
        0.058156,
        0.0629891,
        0.0629891,
        0.0629891,
        0.0629891,
        0.0629891,
        0.058156,
        0.0629891,
        0.0629891,
        0.0643487,
        0.0675307,
        0.0685086,
        0.0685086,
        0.0727685,
        0.0727685,
        0.0727685,
        0.083508,
        0.0836852,
        0.0836852,
        0.0836852,
        0.0836852,
        0.083508,
        0.0791216,
        0.0791216,
        0.0791216,
        0.0791216,
        0.0735975,
        0.0735975,
        0.0767026,
        0.0735975,
        0.0735975,
        0.0767026,
        0.0767026,
        0.0767026,
        0.0767026,
        0.0767026,
        0.0767026,
        0.0791216,
        0.0791216,
        0.0784261,
        0.0767026,
        0.0735975,
        0.065427,
        0.065427,
        0.0640212,
        0.065427,
        0.0735975,
        0.0644936,
        0.0640212,
        0.0644936,
        0.0735975,
        0.0644936,
        0.0640212,
        0.0640212,
        0.0640212,
        0.0644936,
        0.070552,
        0.070552,
        0.070552,
        0.070552,
        0.0762799,
        0.0784261,
        0.0784261,
        0.0762799,
        0.0762799,
        0.0714257,
        0.070552,
        0.070552,
        0.0688446,
        0.0688446,
        0.0688446,
        0.070552,
        0.0714257,
        0.0762799,
        0.078529,
        0.0797186,
        0.0797186,
        0.0797186,
        0.0797186,
        0.0797186,
        0.0797186,
        0.078529,
        0.078529,
        0.0797186,
        0.0803405,
        0.0824519,
        0.089858,
        0.0824519,
        0.0824519,
        0.0824519,
        0.0803405,
        0.0797186,
        0.0797186,
        0.0714257,
        0.0714257,
        0.0688446,
        0.0687529,
        0.0688446,
        0.0797186,
        0.0797186,
        0.0687529,
        0.0687529,
        0.0687529,
        0.0687529,
        0.0687529,
        0.0687529,
        0.0687529,
        0.0687529,
        0.0768114,
        0.0803405,
        0.0803405,
        0.0768114,
        0.0810337,
        0.0884997,
        0.0884997,
        0.0810337,
        0.0810337,
        0.0810337,
        0.0810337,
        0.0823855,
        0.0884997,
        0.0884997,
        0.0912207,
        0.103447,
        0.105183,
        0.107807,
        0.118848,
        0.119024,
        0.128976,
        0.135384,
        0.138153,
        0.140184,
        0.140184,
        0.140184,
        0.140467,
        0.140852,
        0.140852,
        0.141621,
        0.141621,
        0.142188,
        0.143287,
        0.145755,
        0.146905,
        0.146905,
        0.149307,
        0.150097,
        0.153571,
        0.163792,
        0.165951,
        0.165951,
        0.165951,
        0.165951,
        0.16705,
        0.16705,
        0.172606,
        0.172606,
        0.172711,
        0.172711,
        0.172711,
        0.179687,
        0.185113,
        0.190856,
        0.19133,
        0.195517,
        0.196512,
        0.200531,
        0.202081,
        0.220783,
        0.232434,
        0.236018,
        0.249994,
        0.249994,
        0.257602,
        0.26377,
        0.287172,
        0.294291,
        0.295473,
        0.309916,
        0.312904,
        0.31485,
        0.33572,
        0.338103,
        0.413483,
        0.421802,
        0.422149,
        0.437322,
        0.439382,
        0.439382,
        0.441541,
        0.441541,
        0.441541,
        0.458538,
        0.485413,
        0.502316,
        0.516973,
        0.516973,
        0.520252,
        0.522231,
        0.522231,
        0.522231,
        0.520252,
        0.522231,
        0.543566,
        0.58164,
        0.58164,
        0.601194,
        0.601194,
        0.58164,
        0.543566,
        0.58164,
        0.601194,
        0.610605,
        0.673039,
        0.685222,
        0.709491,
        0.711383,
        0.711383,
        0.711383,
        0.711383,
        0.711383,
        0.714612,
        0.714612,
        0.72192,
        0.736287,
        0.736287,
        0.736287,
        0.736287,
        0.72192,
        0.72192,
        0.72192,
        0.718682,
        0.718682,
        0.72192,
        0.72192,
        0.72192,
        0.750173,
        0.750173,
        0.72192,
        0.72192,
        0.72192,
        0.725781,
        0.718682,
        0.699183,
        0.693951,
        0.661284,
        0.661284,
        0.648632,
        0.648632,
        0.661284,
        0.648632,
        0.648632,
        0.648632,
        0.661284,
        0.661284,
        0.661284,
        0.718682,
        0.718682,
        0.725781,
        0.758699,
        0.758699,
        0.758699,
        0.758699,
        0.758699,
        0.725781,
        0.666098,
        0.666098,
        0.648632,
        0.648632,
        0.648632,
        0.648632,
        0.640496,
        0.634769,
        0.634769,
        0.602378,
        0.602378,
        0.602378,
        0.592729,
        0.592729,
        0.575095,
        0.57285,
        0.57285,
        0.553369,
        0.544593,
        0.480741,
        0.45054,
        0.439731,
        0.439731,
        0.439731,
        0.439731,
        0.421394,
        0.421394,
        0.421394,
        0.421394,
        0.439731,
        0.45054,
        0.45054,
        0.45054,
        0.47877,
        0.480741,
        0.486413,
        0.486413,
        0.501245,
        0.544593,
        0.565267,
        0.565267,
        0.57285,
        0.590884,
        0.645972,
        0.6602,
        0.669822,
        0.68875,
        0.717031,
        0.727236,
        0.727499,
        0.733731,
        0.758974,
        0.758974,
        0.758974,
        0.758928,
        0.758928,
        0.758928,
        0.758928,
        0.758928,
        0.758928,
        0.758928,
        0.758928,
        0.758928,
        0.727499,
        0.717031,
        0.717031,
        0.717031,
        0.565267
    ]
}