GET /api/ishell_4516nm_5232nm_vstar_df_tau/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.516422561476274,
        4.51644258699542,
        4.516462612514565,
        4.516482638033711,
        4.516502663552857,
        4.516523165870078,
        4.516543191389223,
        4.516563216908369,
        4.516583242427515,
        4.51660326794666,
        4.516623293465806,
        4.516643318984952,
        4.516663344504098,
        4.516683370023244,
        4.51670339554239,
        4.516723421061536,
        4.516743446580681,
        4.516763472099827,
        4.516783497618973,
        4.516803523138118,
        4.516824025455339,
        4.516844050974485,
        4.516864076493631,
        4.516884102012776,
        4.516904127531922,
        4.516924153051068,
        4.516944178570214,
        4.516964204089359,
        4.516984229608505,
        4.5170042551276515,
        4.517024280646797,
        4.517044306165943,
        4.517064331685089,
        4.517184484799963,
        4.517204510319109,
        4.517224535838254,
        4.5172445613574,
        4.517264586876546,
        4.517284135597617,
        4.517304161116763,
        4.517324186635909,
        4.517344212155055,
        4.5173642376742,
        4.517384263193346,
        4.517404288712492,
        4.517424314231637,
        4.517444339750783,
        4.517464365269929,
        4.517484390789075,
        4.518262525247311,
        4.518282550766457,
        4.518302576285603,
        4.518322601804749,
        4.518342150525819,
        4.518362176044965,
        4.518382201564111,
        4.518402227083256,
        4.5184217758043275,
        4.5184418013234735,
        4.518461826842619,
        4.518481852361765,
        4.518501401082836,
        4.518521426601981,
        4.518541452121127,
        4.518561477640273,
        4.5185810263613435,
        4.5186010518804895,
        4.518621077399636,
        4.518641102918782,
        4.518660651639852,
        4.518680677158998,
        4.518700702678144,
        4.518720251399214,
        4.51874027691836,
        4.518780327956652,
        4.518799876677723,
        4.518819902196869,
        4.518839927716014,
        4.518859476437085,
        4.518879501956231,
        4.5188995274753765,
        4.518919076196448,
        4.518939101715594,
        4.518959127234739,
        4.51897867595581,
        4.518998701474956,
        4.519018726994101,
        4.519038275715173,
        4.519058301234319,
        4.519078326753464,
        4.519097875474535,
        4.519117900993681,
        4.519137926512826,
        4.519157475233897,
        4.5191775007530435,
        4.519197049474114,
        4.51921707499326,
        4.519237100512406,
        4.519256649233476,
        4.519276674752622,
        4.519296700271768,
        4.519316248992839,
        4.519336274511985,
        4.519355823233056,
        4.519375848752201,
        4.519395874271347,
        4.519415422992418,
        4.520128236114393,
        4.520147784835464,
        4.520167810354609,
        4.52018735907568,
        4.520207384594826,
        4.520226933315897,
        4.520246958835043,
        4.520266507556114,
        4.520286533075259,
        4.52030608179633,
        4.5203256305174015,
        4.520345656036547,
        4.520365204757618,
        4.520385230276764,
        4.520404778997834,
        4.52042480451698,
        4.520444353238052,
        4.520463901959122,
        4.520483927478268,
        4.520503476199338,
        4.520523501718484,
        4.520543050439556,
        4.520562599160626,
        4.520582624679772,
        4.520602173400843,
        4.520622198919988,
        4.52064174764106,
        4.520661296362131,
        4.520681321881276,
        4.520700870602347,
        4.520720419323418,
        4.520740444842564,
        4.520759993563635,
        4.520779542284705,
        4.520799567803851,
        4.5208191165249225,
        4.520838665245993,
        4.520858690765139,
        4.52087823948621,
        4.5208977882072805,
        4.5209178137264265,
        4.520937362447497,
        4.520956911168568,
        4.520976936687714,
        4.5209964854087845,
        4.521016034129856,
        4.521036059649002,
        4.521055608370072,
        4.521075157091143,
        4.521095182610289,
        4.52111473133136,
        4.521134280052431,
        4.521153828773501,
        4.521173854292647,
        4.521193403013719,
        4.522096935365653,
        4.522116484086724,
        4.522136032807794,
        4.5221560583269405,
        4.522175607048012,
        4.522195155769082,
        4.522214704490153,
        4.522234253211224,
        4.522253801932295,
        4.522273350653366,
        4.5222928993744365,
        4.522312448095508,
        4.522331996816578,
        4.522351545537649,
        4.522371571056795,
        4.522391119777866,
        4.522410668498937,
        4.522430217220007,
        4.5224497659410785,
        4.52246931466215,
        4.52248886338322,
        4.522508412104291,
        4.522527960825362,
        4.522547509546433,
        4.522567058267504,
        4.5225866069885745,
        4.522606155709646,
        4.522625704430716,
        4.522645253151787,
        4.522664801872859,
        4.522684350593929,
        4.522703899315,
        4.5227234480360705,
        4.522742996757142,
        4.522762545478213,
        4.522782094199283,
        4.522801642920355,
        4.522821191641425,
        4.522840740362496,
        4.522860289083567,
        4.522879837804638,
        4.522899386525709,
        4.522918935246779,
        4.522938483967851,
        4.522958032688922,
        4.522977581409992,
        4.522997130131063,
        4.523016678852134,
        4.523036227573205,
        4.523055776294276,
        4.523075325015347,
        4.523094873736418,
        4.523114422457488,
        4.523133971178559,
        4.523153519899631,
        4.523173068620701,
        4.523192617341772,
        4.52391353603102,
        4.523933084752091,
        4.523952156675087,
        4.523971705396158,
        4.523991254117229,
        4.5240108028382995,
        4.524030351559371,
        4.524049423482366,
        4.5240689722034375,
        4.524088520924508,
        4.524108069645579,
        4.524127141568575,
        4.524146690289646,
        4.524166239010717,
        4.5241857877317875,
        4.524204859654784,
        4.524224408375854,
        4.5242439570969255,
        4.524263505817997,
        4.524282577740992,
        4.5243021264620635,
        4.524321675183134,
        4.524341223904205,
        4.524360295827201,
        4.524379844548272,
        4.524399393269342,
        4.5244189419904135,
        4.52443801391341,
        4.52445756263448,
        4.5244771113555515,
        4.524496183278547,
        4.524515731999618,
        4.524535280720689,
        4.52455482944176,
        4.524573901364756,
        4.524593450085827,
        4.524612998806898,
        4.5246320707298935,
        4.524651619450965,
        4.524671168172035,
        4.5246902400950315,
        4.524709788816102,
        4.524729337537173,
        4.5247484094601695,
        4.52476795818124,
        4.524787506902311,
        4.524806578825307,
        4.524826127546378,
        4.524845676267448,
        4.524864748190445,
        4.524884296911515,
        4.5249033688345115,
        4.524922917555583,
        4.524942466276653,
        4.5249615381996495,
        4.52498108692072,
        4.525000635641791,
        4.525019707564787,
        4.525039256285858,
        4.5250583282088535,
        4.525077876929925,
        4.525097425650996,
        4.5251164975739915,
        4.525136046295063,
        4.525155118218058,
        4.525870315330407,
        4.525889387253404,
        4.525908935974474,
        4.525928007897471,
        4.525947556618541,
        4.525966628541537,
        4.525986177262609,
        4.526005249185604,
        4.5260247979066754,
        4.526043869829671,
        4.526062941752667,
        4.526082490473738,
        4.526101562396734,
        4.526121111117805,
        4.526140183040801,
        4.526159731761871,
        4.526178803684868,
        4.526197875607863,
        4.526217424328935,
        4.52623649625193,
        4.526256044973001,
        4.526275116895998,
        4.526294188818993,
        4.526313737540065,
        4.52633280946306,
        4.526352358184131,
        4.526371430107127,
        4.526390502030123,
        4.526410050751194,
        4.52642912267419,
        4.526448194597186,
        4.526467743318257,
        4.5264868152412525,
        4.526506363962324,
        4.526525435885319,
        4.526544507808316,
        4.526564056529386,
        4.5265831284523825,
        4.526602200375378,
        4.526621749096449,
        4.526640821019446,
        4.526659892942441,
        4.5266794416635125,
        4.526698513586508,
        4.5267175855095045,
        4.526737134230575,
        4.526756206153571,
        4.526775278076567,
        4.526794826797638,
        4.526813898720634,
        4.52683297064363,
        4.526852042566626,
        4.526871591287697,
        4.5268906632106924,
        4.526909735133689,
        4.526929283854759,
        4.526948355777756,
        4.526967427700751,
        4.526986499623748,
        4.527006048344818,
        4.5270251202678145,
        4.52704419219081,
        4.527791811572253,
        4.527810883495249,
        4.527829955418245,
        4.527849027341241,
        4.527868576062311,
        4.527887647985308,
        4.527906719908303,
        4.5279257918313,
        4.527944863754295,
        4.527963935677292,
        4.527983007600287,
        4.528002079523284,
        4.528021151446279,
        4.528040223369276,
        4.528059772090346,
        4.528078844013343,
        4.528097915936338,
        4.528116987859335,
        4.52813605978233,
        4.528155131705327,
        4.528174203628322,
        4.528193275551319,
        4.528212347474314,
        4.5282314193973106,
        4.528250491320306,
        4.528269563243302,
        4.528288635166298,
        4.528307707089294,
        4.52832677901229,
        4.528346327733361,
        4.528365399656357,
        4.528384471579352,
        4.528403543502349,
        4.528422615425344,
        4.528441687348341,
        4.528460759271336,
        4.528479831194333,
        4.528498903117328,
        4.528517975040325,
        4.52853704696332,
        4.528556118886317,
        4.528575190809312,
        4.528594262732309,
        4.528613334655304,
        4.528632406578301,
        4.528651478501296,
        4.528670550424293,
        4.528689622347288,
        4.528708694270285,
        4.52872776619328,
        4.528746838116277,
        4.528765910039272,
        4.528784981962269,
        4.5288035770871895,
        4.528822649010186,
        4.5288417209331815,
        4.528860792856177,
        4.5288798647791735,
        4.528898936702169,
        4.5289180086251655,
        4.5289561524711575,
        4.528975224394153,
        4.529032440163141,
        4.529735717323618,
        4.5297543124485395,
        4.529773384371535,
        4.5297924562945315,
        4.529811528217527,
        4.5298306001405235,
        4.529849195265444,
        4.52986826718844,
        4.529887339111436,
        4.529906411034432,
        4.5299250061593535,
        4.529944078082349,
        4.529963150005345,
        4.529982221928341,
        4.530000817053263,
        4.530019888976258,
        4.530038960899255,
        4.53005803282225,
        4.530076627947171,
        4.530095699870167,
        4.530114771793163,
        4.530133843716159,
        4.53015243884108,
        4.5301715107640765,
        4.530190582687072,
        4.5302096546100685,
        4.530228249734989,
        4.530247321657986,
        4.530266393580981,
        4.530284988705902,
        4.5303040606288985,
        4.530323132551894,
        4.530341727676816,
        4.530360799599811,
        4.530379871522808,
        4.530398943445803,
        4.530417538570725,
        4.53043661049372,
        4.530455682416716,
        4.530474277541638,
        4.530493349464633,
        4.5305124213876296,
        4.53053101651255,
        4.530550088435547,
        4.530569160358542,
        4.530587755483464,
        4.5306068274064595,
        4.530625899329456,
        4.530644494454377,
        4.530663566377372,
        4.530682161502294,
        4.530701233425289,
        4.530720305348286,
        4.530738900473207,
        4.530757972396203,
        4.530777044319199,
        4.530795639444119,
        4.530814711367116,
        4.5308333064920365,
        4.530852378415033,
        4.5308714503380285,
        4.53089004546295,
        4.530909117385946,
        4.5309277125108665,
        4.530946784433863,
        4.5309658563568584,
        4.53098445148178,
        4.531003523404776,
        4.531022118529697,
        4.531041190452693,
        4.531682007065358,
        4.5317191973152005,
        4.531738269238196,
        4.531756864363117,
        4.531775936286113,
        4.531794531411034,
        4.53181360333403,
        4.531832198458951,
        4.531851270381948,
        4.531869865506868,
        4.531888460631789,
        4.5319075325547855,
        4.531926127679706,
        4.531945199602703,
        4.5319637947276235,
        4.53198286665062,
        4.532001461775541,
        4.532020056900461,
        4.532039128823458,
        4.532057723948379,
        4.532076795871375,
        4.532095390996296,
        4.5321139861212165,
        4.532133058044213,
        4.532151653169134,
        4.53217072509213,
        4.532189320217051,
        4.5322079153419725,
        4.532226987264968,
        4.532245582389889,
        4.5322641775148105,
        4.532283249437806,
        4.532301844562728,
        4.532320439687648,
        4.532339511610644,
        4.532358106735566,
        4.532377178658561,
        4.532395773783483,
        4.5324143689084035,
        4.5324334408314,
        4.532452035956321,
        4.5324706310812415,
        4.532489703004238,
        4.532508298129159,
        4.53252689325408,
        4.532545488379001,
        4.532564560301997,
        4.532583155426918,
        4.532601750551839,
        4.532620822474835,
        4.532639417599756,
        4.532658012724677,
        4.532677084647673,
        4.532695679772594,
        4.532714274897516,
        4.5327328700224365,
        4.532751941945432,
        4.532770537070354,
        4.5327891321952745,
        4.532808204118271,
        4.532826799243192,
        4.532845394368112,
        4.532863989493034,
        4.53288306141603,
        4.532901656540951,
        4.532920251665872,
        4.532938846790793,
        4.532957918713789,
        4.53297651383871,
        4.532995108963632,
        4.533013704088552,
        4.533032776011548,
        4.5330513711364695,
        4.533686466172235,
        4.533705061297157,
        4.533723656422078,
        4.5337422515469985,
        4.53376084667192,
        4.533779441796841,
        4.533798036921762,
        4.533816632046683,
        4.533835703969679,
        4.5338542990946005,
        4.533872894219521,
        4.533891489344442,
        4.533910084469364,
        4.533928679594284,
        4.533947274719205,
        4.533965869844127,
        4.5339844649690475,
        4.534003060093969,
        4.53402165521889,
        4.534040250343811,
        4.534058845468732,
        4.534077917391728,
        4.5340965125166495,
        4.53411510764157,
        4.534133702766491,
        4.534152297891413,
        4.534170893016333,
        4.534189488141254,
        4.534208083266176,
        4.534394034515387,
        4.534412629640308,
        4.534431224765228,
        4.53444981989015,
        4.534468415015071,
        4.5344870101399914,
        4.534505605264913,
        4.534524200389834,
        4.5345427955147555,
        4.534561390639676,
        4.534579985764597,
        4.534598580889519,
        4.534617176014439,
        4.53463577113936,
        4.534654366264282,
        4.5346729613892025,
        4.534691556514123,
        4.53470967484097,
        4.534728269965891,
        4.534746865090812,
        4.534765460215733,
        4.534784055340654,
        4.534802650465576,
        4.534821245590496,
        4.534839840715417,
        4.534858435840339,
        4.5348770309652595,
        4.53489562609018,
        4.534914221215102,
        4.534932816340023,
        4.534950934666869,
        4.53496952979179,
        4.534988124916711,
        4.535006720041633,
        4.535025315166553,
        4.535043910291474,
        4.535062505416396,
        4.5350811005413165,
        4.535654688625421,
        4.5356732837503415,
        4.535691878875263,
        4.535710474000184,
        4.535729069125105,
        4.5357471874519515,
        4.535765782576872,
        4.535784377701793,
        4.535802972826715,
        4.535821091153561,
        4.535839686278481,
        4.535858281403403,
        4.535876876528324,
        4.53589499485517,
        4.535913589980091,
        4.535932185105012,
        4.535950780229934,
        4.53596889855678,
        4.5359874936817,
        4.536079992508231,
        4.536098110835077,
        4.536116705959999,
        4.5361353010849195,
        4.536153419411765,
        4.536172014536687,
        4.536190609661608,
        4.536208727988454,
        4.536227323113375,
        4.536245918238296,
        4.536264513363217,
        4.536282631690064,
        4.5363012268149845,
        4.536319821939905,
        4.536337940266752,
        4.536356535391673,
        4.536375130516594,
        4.53639324884344,
        4.536411843968361,
        4.536430439093282,
        4.536448557420129,
        4.5364671525450495,
        4.5364852708718955,
        4.536503865996817,
        4.536522461121738,
        4.536540579448584,
        4.536559174573505,
        4.536577769698426,
        4.536595888025272,
        4.536614483150194,
        4.53663260147704,
        4.5366511966019605,
        4.536669791726882,
        4.536687910053728,
        4.536706505178649,
        4.5367251003035705,
        4.536743218630416,
        4.536761813755337,
        4.536779932082184,
        4.536798527207105,
        4.536816645533951,
        4.536835240658872,
        4.536853835783793,
        4.536871954110639,
        4.536890549235561,
        4.536908667562407,
        4.536927262687327,
        4.536945381014173,
        4.536963976139095,
        4.536982571264016,
        4.537000689590862,
        4.537019284715783,
        4.537037403042629,
        4.53705599816755,
        4.537734958626207,
        4.537918049086969,
        4.537936167413815,
        4.537954762538736,
        4.537972880865582,
        4.537990999192428,
        4.53800959431735,
        4.538027712644196,
        4.538045830971042,
        4.538064426095963,
        4.538082544422809,
        4.53810113954773,
        4.538119257874576,
        4.538137376201423,
        4.5381559713263435,
        4.5381740896531895,
        4.538192207980036,
        4.538210803104957,
        4.538228921431803,
        4.538247039758649,
        4.538265634883571,
        4.5382837532104165,
        4.5383018715372625,
        4.538320466662184,
        4.53833858498903,
        4.538356703315876,
        4.538375298440798,
        4.538393416767644,
        4.53841153509449,
        4.538430130219411,
        4.538448248546257,
        4.538466366873103,
        4.538484961998024,
        4.538503080324871,
        4.538521198651717,
        4.538539316978563,
        4.538557912103484,
        4.53857603043033,
        4.538594148757176,
        4.538612743882097,
        4.538630862208944,
        4.53864898053579,
        4.538667098862636,
        4.538685693987557,
        4.538703812314403,
        4.538721930641249,
        4.538740048968095,
        4.538758644093017,
        4.538776762419863,
        4.538794880746709,
        4.5388129990735555,
        4.538831594198476,
        4.538849712525322,
        4.538867830852168,
        4.538885949179015,
        4.538904544303936,
        4.538922662630782,
        4.5389407809576285,
        4.5389588992844745,
        4.53897701761132,
        4.538995612736242,
        4.539013731063088,
        4.539031849389934,
        4.53904996771678,
        4.539068562841702,
        4.5390866811685475,
        4.5391047994953935,
        4.539122917822239,
        4.539141036149086,
        4.539759443252231,
        4.5397775615790765,
        4.539795679905923,
        4.539813798232769,
        4.539831916559615,
        4.539850034886461,
        4.539868153213308,
        4.539886271540154,
        4.539904389867,
        4.539922508193846,
        4.539940626520693,
        4.5399592216456135,
        4.5399773399724594,
        4.539995458299306,
        4.540013576626152,
        4.540031694952998,
        4.540049813279844,
        4.540067931606691,
        4.540086049933537,
        4.540104168260383,
        4.540122286587229,
        4.540140404914076,
        4.540158523240922,
        4.540176641567768,
        4.5401947598946135,
        4.54021287822146,
        4.540230996548306,
        4.540249114875152,
        4.540267233201999,
        4.540285351528845,
        4.540303469855691,
        4.540321588182537,
        4.540339706509384,
        4.54035782483623,
        4.540375943163076,
        4.540394061489922,
        4.5404121798167685,
        4.540430298143614,
        4.54044841647046,
        4.540466534797306,
        4.540484653124153,
        4.540502771450999,
        4.540520889777845,
        4.540538531306616,
        4.540556649633463,
        4.540574767960309,
        4.540592886287155,
        4.540611004614001,
        4.540629122940848,
        4.540647241267694,
        4.54066535959454,
        4.540683477921386,
        4.540701596248232,
        4.540719714575078,
        4.540737832901924,
        4.54075595122877,
        4.540774069555617,
        4.540791711084388,
        4.540809829411234,
        4.54082794773808,
        4.540846066064927,
        4.540864184391773,
        4.540882302718619,
        4.540900421045465,
        4.540918539372312,
        4.540936657699158,
        4.540954299227929,
        4.540972417554775,
        4.540990535881622,
        4.5410086542084676,
        4.5410267725353135,
        4.5410448908621595,
        4.541063009189006,
        4.541081127515852,
        4.541098769044623,
        4.541116887371469,
        4.541135005698316,
        4.541153124025162,
        4.541171242352008,
        4.541765809551408,
        4.541783927878254,
        4.541801569407025,
        4.541819687733872,
        4.541837806060718,
        4.541855924387564,
        4.541873565916335,
        4.541891684243181,
        4.541909802570028,
        4.541927444098799,
        4.541945562425645,
        4.541963680752491,
        4.541981799079338,
        4.541999440608109,
        4.542017558934955,
        4.542035677261801,
        4.542053318790572,
        4.542071437117419,
        4.542089555444265,
        4.542107196973036,
        4.542125315299882,
        4.542143433626729,
        4.5421610751555,
        4.542179193482346,
        4.542197311809192,
        4.542214953337963,
        4.54223307166481,
        4.542251189991656,
        4.542268831520427,
        4.542286949847273,
        4.5423050681741195,
        4.542322709702891,
        4.542340828029737,
        4.5423589463565825,
        4.542376587885354,
        4.5423947062122005,
        4.5424128245390465,
        4.542430466067818,
        4.542448584394664,
        4.542466225923436,
        4.542484344250282,
        4.5425024625771275,
        4.542520104105899,
        4.542538222432745,
        4.5425563407595915,
        4.542573982288363,
        4.542592100615209,
        4.54260974214398,
        4.542627860470827,
        4.5426459787976725,
        4.542663620326444,
        4.54268173865329,
        4.542699380182061,
        4.542717498508908,
        4.542735140037679,
        4.542753258364525,
        4.542771376691371,
        4.542789018220142,
        4.542807136546989,
        4.54282477807576,
        4.542842896402606,
        4.542860537931377,
        4.542878656258224,
        4.54289677458507,
        4.542914416113841,
        4.542932534440687,
        4.542950175969458,
        4.542968294296305,
        4.542985935825076,
        4.543004054151922,
        4.543021695680693,
        4.543039814007539,
        4.543057455536311,
        4.543075573863157,
        4.543093215391928,
        4.543111333718774,
        4.543128975247545,
        4.543147093574392,
        4.543164735103163,
        4.543182853430009,
        4.54320049495878,
        4.5438079357062024,
        4.543825577234974,
        4.543843218763745,
        4.543861337090592,
        4.543878978619363,
        4.543896620148134,
        4.54391473847498,
        4.543932380003751,
        4.543950498330598,
        4.543968139859369,
        4.54398578138814,
        4.544003899714986,
        4.544021541243757,
        4.544039182772528,
        4.544057301099375,
        4.544074942628146,
        4.5440925841569175,
        4.5441107024837635,
        4.544128344012535,
        4.5441464623393815,
        4.544164103868153,
        4.544181745396924,
        4.54419986372377,
        4.544217505252541,
        4.544235146781312,
        4.544252788310084,
        4.54427090663693,
        4.544288548165701,
        4.544306189694472,
        4.544324308021318,
        4.54434194955009,
        4.5443595910788614,
        4.544377709405707,
        4.5443953509344786,
        4.54441299246325,
        4.5444311107900965,
        4.544448752318868,
        4.544466393847639,
        4.54448403537641,
        4.544502153703256,
        4.544519795232027,
        4.544537436760799,
        4.54455507828957,
        4.544573196616416,
        4.544590838145187,
        4.5446084796739585,
        4.544626598000805,
        4.5446442395295765,
        4.544661881058348,
        4.544679522587119,
        4.544697640913965,
        4.544715282442736,
        4.544732923971508,
        4.544750565500279,
        4.54476820702905,
        4.544786325355896,
        4.544803966884667,
        4.5448216084134385,
        4.544839249942211,
        4.5448573682690565,
        4.544875009797828,
        4.544892651326599,
        4.54491029285537,
        4.544927934384141,
        4.544946052710988,
        4.544963694239759,
        4.54498133576853,
        4.544998977297301,
        4.5450166188260726,
        4.5450347371529185,
        4.5450523786816905,
        4.545070020210462,
        4.545087661739233,
        4.545105303268004,
        4.54512342159485,
        4.545866272995544,
        4.545883914524315,
        4.545901556053086,
        4.545919197581857,
        4.545936839110629,
        4.5459544806394,
        4.5459721221681715,
        4.545989763696943,
        4.546007405225714,
        4.546025046754485,
        4.546042688283256,
        4.546060329812028,
        4.546077971340799,
        4.546096089667645,
        4.546113731196416,
        4.5461313727251875,
        4.546149014253959,
        4.546166655782731,
        4.546184297311502,
        4.546201938840273,
        4.546219103570969,
        4.5462367450997405,
        4.546254386628512,
        4.546272028157283,
        4.546289669686055,
        4.546307311214826,
        4.546324952743597,
        4.546342594272368,
        4.5463602358011395,
        4.546377877329911,
        4.546395518858682,
        4.546413160387454,
        4.546430801916225,
        4.546448443444996,
        4.546466084973767,
        4.546483726502538,
        4.5465013680313096,
        4.546519009560081,
        4.546536651088853,
        4.546554292617624,
        4.546571934146395,
        4.546589575675166,
        4.546607217203937,
        4.546624381934634,
        4.546642023463405,
        4.546659664992177,
        4.546677306520948,
        4.546694948049719,
        4.54671258957849,
        4.5467302311072615,
        4.546747872636033,
        4.546765514164804,
        4.546783155693576,
        4.546800320424272,
        4.546817961953043,
        4.5468356034818145,
        4.546853245010586,
        4.546870886539357,
        4.546888528068128,
        4.5469061695969,
        4.546923811125671,
        4.546941452654442,
        4.546958617385139,
        4.54697625891391,
        4.546993900442681,
        4.547011541971452,
        4.547029183500223,
        4.547046825028995,
        4.547064466557766,
        4.547222286720558,
        4.547239928249329,
        4.5472575697781,
        4.547274734508797,
        4.547292376037568,
        4.547310017566339,
        4.547327659095111,
        4.547345300623882,
        4.5473624653545786,
        4.54738010688335,
        4.547397748412121,
        4.547415389940892,
        4.547433031469663,
        4.5474501962003595,
        4.5474678377291315,
        4.547975627678899,
        4.5480109107364415,
        4.548028552265213,
        4.548045716995909,
        4.548063358524681,
        4.548081000053452,
        4.5480981647841485,
        4.54811580631292,
        4.548133447841691,
        4.548150612572387,
        4.548168254101158,
        4.5481858956299295,
        4.548203060360626,
        4.548220701889398,
        4.548238343418169,
        4.548255508148865,
        4.5482731496776365,
        4.548290314408333,
        4.548307955937104,
        4.548325597465875,
        4.5483427621965715,
        4.548360403725343,
        4.548378045254115,
        4.548395209984811,
        4.548412851513582,
        4.548430493042353,
        4.54844765777305,
        4.548465299301821,
        4.548482464032517,
        4.548500105561288,
        4.5485177470900595,
        4.548534911820756,
        4.548552553349528,
        4.548569718080224,
        4.548587359608995,
        4.548605001137767,
        4.548622165868463,
        4.548639807397234,
        4.54865697212793,
        4.548674613656702,
        4.548691778387398,
        4.54870941991617,
        4.548727061444941,
        4.5487442261756375,
        4.548761867704409,
        4.548779032435105,
        4.548796673963876,
        4.5488138386945725,
        4.548831480223344,
        4.54884864495404,
        4.548866286482811,
        4.548883928011583,
        4.5489010927422795,
        4.548918734271051,
        4.548935899001747,
        4.548953540530518,
        4.5489707052612145,
        4.549144736558553,
        4.549162378087324,
        4.54917954281802,
        4.5491971843467915,
        4.549214349077488,
        4.549231990606259,
        4.549249155336955,
        4.549266796865727,
        4.549283961596424,
        4.549301603125195,
        4.549318767855891,
        4.549336409384662,
        4.549353574115359,
        4.54937121564413,
        4.549388380374826,
        4.549405545105523,
        4.549423186634294,
        4.54944035136499,
        4.549457992893762,
        4.5494751576244585,
        4.54949279915323,
        4.549509963883926,
        4.549527605412697,
        4.5495447701433935,
        4.54956193487409,
        4.549579576402861,
        4.5496143826623285,
        4.55008259837188,
        4.550099763102576,
        4.550117404631348,
        4.5501345693620445,
        4.550151734092741,
        4.550169375621512,
        4.550186540352208,
        4.550203705082905,
        4.550221346611676,
        4.550238511342372,
        4.550255676073069,
        4.550272840803765,
        4.550290482332536,
        4.550307647063232,
        4.550324811793929,
        4.550342453322701,
        4.550359618053397,
        4.5503767827840935,
        4.550394424312865,
        4.550411589043561,
        4.550428753774257,
        4.550445918504954,
        4.550463560033725,
        4.550480724764421,
        4.550497889495118,
        4.550515531023889,
        4.550532695754585,
        4.550549860485281,
        4.550567025215978,
        4.550584666744749,
        4.550601831475445,
        4.5506189962061425,
        4.550636160936839,
        4.55065380246561,
        4.550670967196306,
        4.550688131927003,
        4.550705296657699,
        4.55072293818647,
        4.550740102917167,
        4.550757267647863,
        4.550774432378559,
        4.550791597109256,
        4.550809238638027,
        4.550826403368723,
        4.5508435680994195,
        4.550860732830116,
        4.550878374358888,
        4.55103333373323,
        4.551050498463926,
        4.551068139992697,
        4.551085304723394,
        4.55110246945409,
        4.551119634184786,
        4.551136798915483,
        4.551153963646179,
        4.55117160517495,
        4.5511887699056475,
        4.551205934636344,
        4.55122309936704,
        4.5512402640977365,
        4.551257428828433,
        4.551275070357204,
        4.5512922350879,
        4.551309399818597,
        4.551326564549293,
        4.551343729279989,
        4.551360894010686,
        4.551378058741382,
        4.5513952234720785,
        4.55141286500085,
        4.551430029731546,
        4.551447194462242,
        4.551464359192939,
        4.551481523923635,
        4.551498688654331,
        4.551515853385028,
        4.551533018115724,
        4.55155018284642,
        4.5515678243751925,
        4.551584989105889,
        4.551602153836585,
        4.5516193185672815,
        4.551636483297978,
        4.551653648028674,
        4.551670812759371,
        4.551687977490067,
        4.551705142220763,
        4.55172230695146,
        4.551739471682156,
        4.552203396209033,
        4.5522205609397295,
        4.552237725670426,
        4.552254890401122,
        4.5522720551318185,
        4.552289219862515,
        4.552306384593211,
        4.552323549323908,
        4.552340714054604,
        4.5523578787853,
        4.552375043515997,
        4.552392208246693,
        4.55240937297739,
        4.552426537708087,
        4.552443702438783,
        4.5524603903714045,
        4.552477555102101,
        4.552494719832797,
        4.5525118845634935,
        4.55252904929419,
        4.552546214024886,
        4.552563378755583,
        4.552580543486279,
        4.552597708216975,
        4.552614872947672,
        4.552632037678368,
        4.552649202409064,
        4.552666367139761,
        4.552683055072382,
        4.552700219803079,
        4.552717384533775,
        4.552734549264471,
        4.552751713995168,
        4.552768878725864,
        4.55278604345656,
        4.552803208187257,
        4.552820372917953,
        4.552837537648649,
        4.552957213965449,
        4.552973901898071,
        4.552991066628767,
        4.553008231359463,
        4.55302539609016,
        4.553042560820856,
        4.553059725551552,
        4.553076890282249,
        4.55309357821487,
        4.553110742945567,
        4.553127907676263,
        4.553145072406959,
        4.5531622371376566,
        4.553179401868353,
        4.553196089800974,
        4.553213254531671,
        4.553230419262367,
        4.5532475839930635,
        4.55326474872376,
        4.553281436656381,
        4.553298601387078,
        4.553315766117774,
        4.5533329308484705,
        4.553350095579167,
        4.553366783511788,
        4.553383948242485,
        4.553401112973181,
        4.553418277703877,
        4.553435442434574,
        4.553452130367195,
        4.553469295097892,
        4.553486459828588,
        4.553503624559284,
        4.553520789289981,
        4.553537477222602,
        4.553554641953299,
        4.553571806683995,
        4.553588971414691,
        4.553605659347313,
        4.553622824078009,
        4.553639988808706,
        4.553657153539402,
        4.5536738414720235,
        4.55369100620272,
        4.553708170933416,
        4.5537253356641125,
        4.554886338976493,
        4.556047342288873,
        4.556067367808019,
        4.556087870125239,
        4.55649267169083,
        4.55651317400805,
        4.556533199527196,
        4.556553225046342,
        4.5565737273635625,
        4.556593752882708,
        4.5566142551999285,
        4.5566342807190745,
        4.556654783036295,
        4.5566748085554405,
        4.5566948340745865,
        4.556876970939198,
        4.556896996458344,
        4.556917498775565,
        4.55693752429471,
        4.556957549813856,
        4.556978052131077,
        4.556998077650222,
        4.557018103169368,
        4.557038605486589,
        4.557058631005735,
        4.55707865652488,
        4.557099158842101,
        4.557119184361247,
        4.557139209880393,
        4.557159712197613,
        4.557179737716759,
        4.557199763235905,
        4.557220265553126,
        4.557240291072271,
        4.557260316591417,
        4.557280818908638,
        4.557300844427784,
        4.557320869946929,
        4.55734137226415,
        4.557361397783296,
        4.557381423302442,
        4.5574014488215875,
        4.557421951138808,
        4.557441976657954,
        4.5574620021771,
        4.55748250449432,
        4.557502530013466,
        4.557522555532612,
        4.557542581051758,
        4.557563083368978,
        4.5575831088881245,
        4.5576031344072705,
        4.557623159926416,
        4.5576436622436365,
        4.5576636877627825,
        4.557683713281929,
        4.557703738801074,
        4.55772376432022,
        4.557744266637441,
        4.557764292156587,
        4.557784317675732,
        4.557804343194878,
        4.557824845512099,
        4.557844871031245,
        4.55786489655039,
        4.557884922069536,
        4.557904947588682,
        4.557925449905903,
        4.557945475425048,
        4.557965500944194,
        4.55798552646334,
        4.558005551982485,
        4.558025577501631,
        4.558046079818852,
        4.558066105337998,
        4.558086130857143,
        4.558106156376289,
        4.558126181895435,
        4.55814620741458,
        4.558166709731801,
        4.558186735250947,
        4.558206760770093,
        4.5582267862892385,
        4.5582468118083845,
        4.558266837327531,
        4.558286862846676,
        4.558929109853566,
        4.558949135372711,
        4.558969160891857,
        4.5589891864110035,
        4.559009211930149,
        4.559029237449295,
        4.559049262968441,
        4.559069288487586,
        4.559089314006732,
        4.559109339525878,
        4.559129365045024,
        4.559149390564169,
        4.559169416083315,
        4.559189441602461,
        4.559209467121606,
        4.559229492640752,
        4.559249041361824,
        4.559269066880969,
        4.559289092400115,
        4.559309117919261,
        4.559329143438407,
        4.559349168957552,
        4.559369194476698,
        4.559389219995844,
        4.559409245514989,
        4.559429271034135,
        4.559449296553281,
        4.559469322072427,
        4.5594893475915725,
        4.559509373110719,
        4.559529398629865,
        4.559548947350935,
        4.559568972870081,
        4.559588998389227,
        4.559609023908372,
        4.559629049427518,
        4.559649074946664,
        4.559669100465809,
        4.5596891259849555,
        4.5597091515041015,
        4.559728700225173,
        4.559748725744318,
        4.559768751263464,
        4.55978877678261,
        4.559808802301755,
        4.559828827820901,
        4.559848853340047,
        4.559868878859192,
        4.559888427580264,
        4.55990845309941,
        4.559928478618555,
        4.559948504137701,
        4.559968529656847,
        4.559988555175993,
        4.560008103897063,
        4.560028129416209,
        4.560048154935355,
        4.5600681804545005,
        4.5600882059736465,
        4.5601082314927925,
        4.560127780213863,
        4.560147805733009,
        4.560167831252155,
        4.5601878567713,
        4.560207882290446,
        4.560227431011517,
        4.5602474565306625,
        4.560267482049809,
        4.560287507568955,
        4.560307056290026,
        4.560327081809171,
        4.560347107328317,
        4.560367132847463,
        4.560386681568533,
        4.5604067070876795,
        4.5604267326068255,
        4.560446758125971,
        4.560466783645117,
        4.560486332366188,
        4.560506357885333,
        4.560924032998946,
        4.560943581720016,
        4.560963607239162,
        4.560983632758308,
        4.5610031814793786,
        4.561023206998525,
        4.561043232517671,
        4.561062781238741,
        4.561082806757887,
        4.561102832277033,
        4.561122380998103,
        4.5611424065172494,
        4.5611624320363955,
        4.561181980757466,
        4.561202006276612,
        4.561221554997683,
        4.561241580516828,
        4.561261606035974,
        4.5612811547570455,
        4.561301180276191,
        4.561320728997262,
        4.561340754516408,
        4.561360780035553,
        4.561380328756624,
        4.56140035427577,
        4.561419902996841,
        4.561439928515987,
        4.561459954035133,
        4.561479502756203,
        4.561499528275349,
        4.56151907699642,
        4.561539102515566,
        4.561558651236637,
        4.561578676755782,
        4.561598225476853,
        4.561618250995999,
        4.561638276515145,
        4.561657825236216,
        4.561677850755362,
        4.561697399476432,
        4.561717424995578,
        4.561736973716649,
        4.5617569992357945,
        4.561776547956866,
        4.561796573476012,
        4.561816122197082,
        4.561836147716228,
        4.561855696437299,
        4.5618757219564445,
        4.561895270677516,
        4.561915296196662,
        4.561934844917732,
        4.561954870436878,
        4.561974419157949,
        4.561994444677095,
        4.562013993398166,
        4.562034018917312,
        4.562053567638382,
        4.562073593157528,
        4.562093141878599,
        4.562113167397745,
        4.562132716118816,
        4.562152264839886,
        4.562172290359032,
        4.5621918390801035,
        4.562211864599249,
        4.56223141332032,
        4.562251438839466,
        4.562270987560536,
        4.562291013079682,
        4.562310561800754,
        4.562330110521824,
        4.56235013604097,
        4.56236968476204,
        4.562389710281186,
        4.562409259002258,
        4.562428807723328,
        4.562448833242474,
        4.562468381963545,
        4.56248840748269,
        4.562507956203762,
        4.562527504924833,
        4.562547530443978,
        4.562567079165049,
        4.562587104684195,
        4.562606653405266,
        4.562626202126337,
        4.562646227645483,
        4.562665776366553,
        4.5626853250876245,
        4.563040062855349,
        4.563060088374495,
        4.563079637095566,
        4.563099185816637,
        4.563119211335783,
        4.563138760056853,
        4.563158308777925,
        4.563177857498996,
        4.563197883018141,
        4.563217431739212,
        4.563236980460283,
        4.563256529181354,
        4.5632765547005,
        4.56329610342157,
        4.5633156521426415,
        4.563335200863713,
        4.563355226382858,
        4.563374775103929,
        4.563394323824999,
        4.563413872546071,
        4.563433898065217,
        4.563453446786287,
        4.563472995507358,
        4.5634925442284295,
        4.563512569747575,
        4.563532118468646,
        4.563551667189716,
        4.5635712159107875,
        4.563590764631859,
        4.563610790151004,
        4.563630338872075,
        4.563649887593146,
        4.563669436314217,
        4.563688985035288,
        4.563709010554433,
        4.563728559275504,
        4.563748107996576,
        4.563767656717646,
        4.563787205438717,
        4.5638067541597875,
        4.563826779678934,
        4.563846328400005,
        4.563865877121075,
        4.563885425842146,
        4.563904974563217,
        4.563924523284288,
        4.563944072005359,
        4.563964097524504,
        4.563983646245576,
        4.564003194966647,
        4.564022743687717,
        4.5640422924087884,
        4.564061841129859,
        4.56408138985093,
        4.564101415370076,
        4.564120964091146,
        4.564140512812218,
        4.564160061533288,
        4.564179610254359,
        4.5641991589754305,
        4.564218707696501,
        4.564238256417572,
        4.564257805138642,
        4.564277353859714,
        4.564296902580785,
        4.56431692809993,
        4.564336476821001,
        4.5643560255420725,
        4.564375574263143,
        4.564395122984214,
        4.5644146717052845,
        4.564434220426356,
        4.564453769147427,
        4.564473317868497,
        4.5644928665895685,
        4.564512415310639,
        4.56453196403171,
        4.564551512752781,
        4.564571061473852,
        4.564590610194923,
        4.564610158915993,
        4.5646297076370645,
        4.564649256358135,
        4.564668805079206,
        4.564688353800277,
        4.564707902521348,
        4.564727451242419,
        4.564746999963489,
        4.5647665486845606,
        4.565254789913258,
        4.565274338634328,
        4.565293887355399,
        4.565313436076471,
        4.565332984797541,
        4.565352533518612,
        4.565372082239683,
        4.565391630960754,
        4.565411179681825,
        4.565430251604821,
        4.565449800325892,
        4.565469349046962,
        4.5654888977680335,
        4.565508446489105,
        4.565527995210175,
        4.565547543931246,
        4.565567092652317,
        4.565586164575313,
        4.565605713296383,
        4.565625262017455,
        4.565644810738526,
        4.565664359459596,
        4.5656839081806675,
        4.565702980103663,
        4.565722528824734,
        4.565742077545805,
        4.5658588930741555,
        4.565878441795227,
        4.565897990516297,
        4.5659170624392935,
        4.565936611160364,
        4.565956159881435,
        4.5659757086025055,
        4.565995257323577,
        4.566014329246572,
        4.5660338779676435,
        4.566053426688715,
        4.566072975409785,
        4.5660920473327815,
        4.566111596053852,
        4.566131144774923,
        4.566150693495994,
        4.566170242217065,
        4.566189314140061,
        4.5662088628611315,
        4.566228411582203,
        4.566247960303273,
        4.5662670322262695,
        4.56628658094734,
        4.566306129668411,
        4.5663252015914075,
        4.566344750312478,
        4.566364299033549,
        4.5663838477546195,
        4.566402919677616,
        4.566422468398686,
        4.5664420171197575,
        4.566461089042754,
        4.566480637763824,
        4.5665001864848955,
        4.566519735205966,
        4.566538807128962,
        4.566558355850033,
        4.566577904571104,
        4.5665969764940995,
        4.566616525215171,
        4.566636073936242,
        4.5666551458592375,
        4.566674694580309,
        4.566694243301379,
        4.5667133152243755,
        4.566732863945446,
        4.566752412666517,
        4.566771484589513,
        4.566791033310584,
        4.566810582031655,
        4.566829653954651,
        4.566849202675722,
        4.566868751396792,
        4.566887823319789,
        4.566907372040859,
        4.5669264439638555,
        4.566945992684927,
        4.566965541405997,
        4.5669846133289935,
        4.567004162050064,
        4.567023710771135,
        4.567042782694131,
        4.567062331415202,
        4.5670814033381975,
        4.567100952059269,
        4.56712050078034,
        4.5671395727033355,
        4.567159121424407,
        4.567178193347402,
        4.5671977420684735,
        4.567216813991469,
        4.56723636271254,
        4.567468563375016,
        4.567487635298012,
        4.567507184019083,
        4.567526255942079,
        4.56754580466315,
        4.567564876586146,
        4.567584425307217,
        4.567603497230213,
        4.567623045951284,
        4.567642117874279,
        4.567661666595351,
        4.567680738518346,
        4.5677002872394175,
        4.567719359162413,
        4.567738907883484,
        4.56775797980648,
        4.567777528527551,
        4.5677966004505475,
        4.567816149171618,
        4.567835221094614,
        4.567854769815685,
        4.567873841738681,
        4.567892913661677,
        4.567912462382748,
        4.567931534305743,
        4.567951083026815,
        4.56797015494981,
        4.567989703670881,
        4.568008775593877,
        4.568028324314948,
        4.568047396237945,
        4.56806646816094,
        4.568086016882011,
        4.568105088805007,
        4.568124637526078,
        4.568143709449074,
        4.568163258170145,
        4.568182330093141,
        4.568201402016137,
        4.568220950737207,
        4.568240022660204,
        4.568259571381274,
        4.568278643304271,
        4.568297715227266,
        4.568317263948337,
        4.568336335871333,
        4.568355407794329,
        4.568374956515401,
        4.568394028438396,
        4.568413577159467,
        4.568432649082463,
        4.568451721005459,
        4.56847126972653,
        4.568490341649526,
        4.568509413572522,
        4.568528962293593,
        4.5685480342165885,
        4.568567106139585,
        4.568586654860655,
        4.568605726783652,
        4.568624798706647,
        4.5686443474277185,
        4.568663419350714,
        4.5686824912737105,
        4.568702039994781,
        4.568721111917777,
        4.568740183840773,
        4.568759732561844,
        4.56877880448484,
        4.568797876407836,
        4.568817425128907,
        4.568836497051903,
        4.568855568974899,
        4.568874640897895,
        4.568894189618966,
        4.568913261541962,
        4.568932333464958,
        4.568951882186028,
        4.568970954109025,
        4.56899002603202,
        4.569009097955017,
        4.569028646676087,
        4.569047718599084,
        4.569066790522079,
        4.569085862445076,
        4.569105411166146,
        4.569124483089142,
        4.569143555012138,
        4.569162626935134,
        4.569182175656205,
        4.569201247579201,
        4.569220319502197,
        4.569239391425193,
        4.569258463348189,
        4.56927801206926,
        4.5692970839922555,
        4.569316155915252,
        4.5693352278382475,
        4.569354776559319,
        4.569373848482314,
        4.569392920405311,
        4.569411992328306,
        4.569431064251303,
        4.569450612972373,
        4.5694696848953695,
        4.569488756818365,
        4.5695078287413615,
        4.569737645413463,
        4.569756717336459,
        4.569775789259455,
        4.569794861182451,
        4.569813933105447,
        4.569833481826517,
        4.569852553749514,
        4.569871625672509,
        4.569890697595506,
        4.569909769518501,
        4.569928841441498,
        4.569947913364493,
        4.56996698528749,
        4.569986057210485,
        4.570005605931557,
        4.570024677854552,
        4.570043749777549,
        4.570062821700544,
        4.570081893623541,
        4.570100965546536,
        4.5701200374695325,
        4.570139109392528,
        4.5701581813155245,
        4.57017725323852,
        4.5701963251615165,
        4.570215397084512,
        4.5702344690075085,
        4.570254017728579,
        4.570273089651575,
        4.570292161574571,
        4.570311233497567,
        4.570330305420563,
        4.570349377343559,
        4.570368449266555,
        4.570387521189551,
        4.570406593112547,
        4.570425665035543,
        4.570444736958539,
        4.570463808881535,
        4.570482880804531,
        4.570501952727527,
        4.570521024650523,
        4.570540096573519,
        4.570559168496515,
        4.570578240419511,
        4.570597312342507,
        4.570616384265503,
        4.570635456188499,
        4.570654528111495,
        4.570673600034491,
        4.570692671957486,
        4.570711743880483,
        4.570730815803478,
        4.570749887726475,
        4.57076895964947,
        4.570788031572467,
        4.570807103495462,
        4.570825698620384,
        4.5708447705433795,
        4.570863842466376,
        4.570882914389371,
        4.570901986312368,
        4.570921058235363,
        4.57094013015836,
        4.570959202081355,
        4.570978274004352,
        4.570997345927347,
        4.571016417850344,
        4.571035489773339,
        4.571054561696336,
        4.571073633619331,
        4.571092228744252,
        4.571111300667249,
        4.571130372590244,
        4.571149444513241,
        4.571168516436236,
        4.571187588359233,
        4.571206660282228,
        4.5712257322052245,
        4.57124480412822,
        4.571263399253142,
        4.571282471176137,
        4.571301543099134,
        4.571320615022129,
        4.571339686945126,
        4.571358758868121,
        4.571377830791118,
        4.571396902714113,
        4.571415497839034,
        4.57143456976203,
        4.571453641685026,
        4.571472713608022,
        4.571491785531018,
        4.571510857454014,
        4.571529452578935,
        4.571548524501932,
        4.571567596424927,
        4.571586668347924,
        4.571605740270919,
        4.571624812193916,
        4.571643407318836,
        4.571662479241833,
        4.571681551164828,
        4.571700623087824,
        4.57171969501082,
        4.571738290135741,
        4.5717573620587375,
        4.571776433981733,
        4.5717955059047295,
        4.572003866663461,
        4.572022938586456,
        4.572042010509453,
        4.572060605634373,
        4.57207967755737,
        4.572098749480365,
        4.572117821403362,
        4.5721364165282825,
        4.572155488451278,
        4.5721745603742745,
        4.572193155499195,
        4.572212227422192,
        4.572231299345187,
        4.572307110239096,
        4.572325705364017,
        4.572344777287014,
        4.572363849210009,
        4.572382444334931,
        4.572401516257926,
        4.572420588180923,
        4.5724391833058435,
        4.57245825522884,
        4.5724773271518355,
        4.572495922276756,
        4.572514994199753,
        4.572534066122748,
        4.57255266124767,
        4.5725717331706655,
        4.572590805093662,
        4.572609400218583,
        4.572628472141579,
        4.572647544064575,
        4.572666139189496,
        4.572685211112492,
        4.572704283035487,
        4.572722878160409,
        4.572741950083405,
        4.572760545208326,
        4.572779617131322,
        4.572930762121065,
        4.572949357245986,
        4.5729684291689825,
        4.572987501091978,
        4.573006096216899,
        4.573025168139895,
        4.573043763264816,
        4.573062835187812,
        4.573081430312733,
        4.57310050223573,
        4.573119574158725,
        4.573138169283647,
        4.573157241206642,
        4.573175836331563,
        4.5731949082545595,
        4.57321350337948,
        4.573232575302477,
        4.5732511704273975,
        4.573270242350394,
        4.573288837475315,
        4.57330790939831,
        4.573326981321307,
        4.573345576446227,
        4.573364648369224,
        4.573383243494145,
        4.573402315417141,
        4.573420910542062,
        4.573439982465057,
        4.573458577589979,
        4.5734776495129745,
        4.573496244637896,
        4.573515316560892,
        4.573533911685813,
        4.573552983608809,
        4.57357157873373,
        4.573590650656726,
        4.573609245781647,
        4.5736278409065685,
        4.573646912829564,
        4.573665507954485,
        4.573684579877481,
        4.573703175002402,
        4.573722246925398,
        4.573740842050319,
        4.573759913973316,
        4.573778509098236,
        4.573797581021233,
        4.5738161761461535,
        4.573834771271074,
        4.573853843194071,
        4.5738724383189915,
        4.573891510241988,
        4.573910105366909,
        4.573929177289904,
        4.573947772414826,
        4.573966367539747,
        4.573985439462743,
        4.574004034587664,
        4.57402310651066,
        4.574041701635581,
        4.574060296760502,
        4.574079368683498,
        4.574097963808419,
        4.574117035731415,
        4.574267227125008,
        4.574285822249929,
        4.574304417374851,
        4.574323489297846,
        4.574342084422768,
        4.574360679547689,
        4.574379751470684,
        4.574398346595606,
        4.574416941720527,
        4.574436013643523,
        4.574454608768444,
        4.574473203893365,
        4.574492275816361,
        4.574510870941282,
        4.5745294660662035,
        4.574548537989199,
        4.57456713311412,
        4.574585728239041,
        4.574604323363962,
        4.574623395286959,
        4.574641990411879,
        4.5746605855368,
        4.5746796574597965,
        4.574698252584717,
        4.574716847709639,
        4.5747359196326345,
        4.574754514757556,
        4.574773109882477,
        4.574791705007398,
        4.574810776930394,
        4.574829372055315,
        4.5748479671802365,
        4.574866562305157,
        4.574885634228153,
        4.574904229353074,
        4.574922824477995,
        4.574941419602917,
        4.574960491525912,
        4.574979086650833,
        4.574997681775755,
        4.5750162769006755,
        4.575035348823672,
        4.575053943948593,
        4.575072539073513,
        4.575091134198435,
        4.575109729323356,
        4.575128801246352,
        4.575147396371273,
        4.575165991496194,
        4.575184586621115,
        4.575203181746036,
        4.575222253669033,
        4.575240848793953,
        4.575259443918874,
        4.575278039043796,
        4.5752966341687165,
        4.575315706091713,
        4.575334301216634,
        4.575352896341554,
        4.575371491466476,
        4.575390086591397,
        4.5754086817163175,
        4.575427753639314,
        4.575446348764235,
        4.575464943889156,
        4.575483539014077,
        4.575502134138998,
        4.5755207292639195,
        4.575539801186915,
        4.575558396311837,
        4.5755769914367574,
        4.575595586561678,
        4.5756141816866,
        4.575632776811521,
        4.575651371936441,
        4.575669967061363,
        4.5756890389843585,
        4.57570763410928,
        4.575726229234201,
        4.575744824359122,
        4.575763419484043,
        4.575782014608964,
        4.575800609733886,
        4.575819204858806,
        4.575837799983727,
        4.575856871906724,
        4.575875467031644,
        4.575894062156565,
        4.575912657281487,
        4.5759312524064075,
        4.575949847531329,
        4.57596844265625,
        4.575987037781171,
        4.576005632906092,
        4.576024228031013,
        4.576042823155934,
        4.576061418280855,
        4.576080013405776,
        4.576098608530698,
        4.576117203655619,
        4.576135798780539,
        4.576154393905461,
        4.5761734658284565,
        4.576192060953378,
        4.576210656078299,
        4.57622925120322,
        4.576247846328141,
        4.576266441453062,
        4.576285036577983,
        4.576303631702904,
        4.576322226827825,
        4.576340821952747,
        4.576359417077668,
        4.576378012202588,
        4.57639660732751,
        4.576415202452431,
        4.576563963451799,
        4.576582081778645,
        4.576600676903567,
        4.576619272028488,
        4.5766378671534085,
        4.57665646227833,
        4.576675057403251,
        4.5766936525281725,
        4.576712247653093,
        4.576730842778014,
        4.576749437902936,
        4.576768033027856,
        4.576786628152777,
        4.576805223277699,
        4.5768238184026195,
        4.57684241352754,
        4.576861008652462,
        4.576879603777383,
        4.576897722104229,
        4.57691631722915,
        4.576934912354071,
        4.576953507478993,
        4.576972102603913,
        4.576990697728834,
        4.577009292853756,
        4.5770278879786765,
        4.577046483103597,
        4.577064601430444,
        4.577083196555365,
        4.577101791680286,
        4.577120386805207,
        4.577138981930128,
        4.57715757705505,
        4.57717617217997,
        4.577194767304891,
        4.577212885631738,
        4.577231480756659,
        4.5772500758815795,
        4.577268671006501,
        4.577287266131422,
        4.577305861256343,
        4.577324456381264,
        4.57734257470811,
        4.577361169833031,
        4.577379764957953,
        4.577398360082873,
        4.577416955207795,
        4.577435073534641,
        4.577453668659562,
        4.577472263784483,
        4.577490858909404,
        4.577509454034325,
        4.5775280491592465,
        4.577546167486092,
        4.577564762611013,
        4.577583357735935,
        4.577601952860856,
        4.5776200711877015,
        4.577638666312623,
        4.577657261437544,
        4.577675856562465,
        4.577694451687386,
        4.577712570014232,
        4.577731165139153,
        4.577749760264075,
        4.577768355388995,
        4.577786473715841,
        4.577805068840763,
        4.577823663965684,
        4.577842259090605,
        4.577860377417451,
        4.577878972542372,
        4.577897567667294,
        4.5779161627922145,
        4.57793428111906,
        4.577952876243982,
        4.577971471368903,
        4.577990066493824,
        4.57800818482067,
        4.578026779945591,
        4.578045375070512,
        4.578063493397359,
        4.5780820885222795,
        4.5781006836472,
        4.578119278772122,
        4.578137397098968,
        4.578155992223889,
        4.57817458734881,
        4.578192705675656,
        4.578211300800577,
        4.578229895925499,
        4.5782480142523445,
        4.578266609377265,
        4.578285204502187,
        4.578303322829033,
        4.578321917953954,
        4.578340513078875,
        4.578358631405721,
        4.578377226530642,
        4.578395821655564,
        4.5784139399824095,
        4.57843253510733,
        4.578451130232252,
        4.578469248559098,
        4.578487843684019,
        4.57850643880894,
        4.578524557135786,
        4.578543152260707,
        4.578561747385629,
        4.5785798657124746,
        4.578598460837395,
        4.578616579164242,
        4.578635174289163,
        4.578653769414084,
        4.5786718877409305,
        4.578690482865851,
        4.578708601192697,
        4.578727196317619,
        4.57874579144254,
        4.5787639097693855,
        4.578874526922762,
        4.578892645249609,
        4.57891124037453,
        4.578929358701376,
        4.578947953826297,
        4.578966548951218,
        4.578984667278064,
        4.579003262402986,
        4.579021380729832,
        4.579039975854752,
        4.579058094181598,
        4.57907668930652,
        4.579094807633366,
        4.579113402758287,
        4.5791315210851335,
        4.579150116210054,
        4.5791682345369,
        4.579186829661822,
        4.579205424786743,
        4.579223543113589,
        4.57924213823851,
        4.579260256565356,
        4.579278851690277,
        4.579296970017124,
        4.5793155651420445,
        4.5793336834688905,
        4.579352278593812,
        4.579370396920658,
        4.579388992045579,
        4.579407110372426,
        4.579425228699272,
        4.579443823824192,
        4.579461942151038,
        4.57948053727596,
        4.579498655602806,
        4.579517250727727,
        4.5795353690545735,
        4.579553964179494,
        4.57957208250634,
        4.579590677631262,
        4.579608795958108,
        4.5796273910830285,
        4.579645509409875,
        4.579663627736721,
        4.579682222861642,
        4.579700341188488,
        4.57971893631341,
        4.579737054640256,
        4.579755649765176,
        4.579773768092023,
        4.579791886418869,
        4.57981048154379,
        4.579828599870637,
        4.5798471949955575,
        4.579865313322403,
        4.579883908447325,
        4.579902026774171,
        4.579920145101017,
        4.580085117234932,
        4.580103235561778,
        4.580121353888624,
        4.580139949013546,
        4.580158067340392,
        4.580176662465313,
        4.5801947807921595,
        4.580212899119005,
        4.580231494243926,
        4.580249612570773,
        4.580267730897619,
        4.58028632602254,
        4.5803044443493866,
        4.5803225626762325,
        4.580341157801153,
        4.580359276127999,
        4.580377394454846,
        4.580395989579767,
        4.580414107906613,
        4.58043222623346,
        4.5804503445603055,
        4.580468939685226,
        4.580487058012072,
        4.580505176338919,
        4.58052377146384,
        4.580541889790686,
        4.580560008117533,
        4.580578603242453,
        4.580596721569299,
        4.580614839896146,
        4.580632958222992,
        4.580651553347913,
        4.580669671674759,
        4.580687790001606,
        4.580705908328452,
        4.580724503453372,
        4.580742621780219,
        4.580760740107065,
        4.580778858433911,
        4.580797453558832,
        4.580815571885679,
        4.580833690212525,
        4.580851808539371,
        4.580870403664292,
        4.580888521991138,
        4.580906640317984,
        4.58092475864483,
        4.580943353769752,
        4.580961472096598,
        4.580979590423444,
        4.58099770875029,
        4.581015827077136,
        4.581034422202057,
        4.581052540528903,
        4.58107065885575,
        4.581088777182596,
        4.581106895509442,
        4.5811254906343635,
        4.581216559066669,
        4.581234677393515,
        4.581252795720362,
        4.581270914047208,
        4.581289032374054,
        4.5813071507008996,
        4.581325745825821,
        4.581343864152667,
        4.581361982479513,
        4.581380100806359,
        4.581398219133206,
        4.581416337460052,
        4.581434455786898,
        4.581453050911819,
        4.581471169238665,
        4.581489287565511,
        4.581507405892357,
        4.581525524219204,
        4.58154364254605,
        4.581561760872896,
        4.581579879199742,
        4.581598474324664,
        4.58161659265151,
        4.5816347109783555,
        4.581652829305202,
        4.581670947632048,
        4.581689065958894,
        4.58170718428574,
        4.581725302612587,
        4.581743420939433,
        4.581761539266279,
        4.581780134391201,
        4.5817982527180465,
        4.5818163710448925,
        4.581834489371738,
        4.581852607698585,
        4.581870726025431,
        4.581888844352277,
        4.581906962679123,
        4.58192508100597,
        4.581943199332816,
        4.581961317659662,
        4.581979435986508,
        4.581997554313355,
        4.582015672640201,
        4.5820337909670465,
        4.5820519092938925,
        4.582070027620739,
        4.582088145947585,
        4.582106264274431,
        4.582124859399353,
        4.582142977726199,
        4.582161096053045,
        4.582179214379891,
        4.582197332706738,
        4.5822154510335835,
        4.5822335693604295,
        4.582251687687275,
        4.582269806014122,
        4.582287924340968,
        4.582306042667814,
        4.58232416099466,
        4.582342279321507,
        4.582360397648353,
        4.582378515975199,
        4.582396634302045,
        4.582414275830817,
        4.582432394157663,
        4.582450512484509,
        4.582468630811355,
        4.5824867491382015,
        4.5825048674650475,
        4.582522985791893,
        4.582541104118739,
        4.582559222445586,
        4.582577340772432,
        4.582595459099278,
        4.582613577426124,
        4.582631695752971,
        4.582649814079817,
        4.582667932406663,
        4.58268605073351,
        4.582704169060356,
        4.5827222873872016,
        4.5827404057140475,
        4.582758047242819,
        4.5827761655696655,
        4.5827942838965114,
        4.582812402223357,
        4.582830520550203,
        4.58284863887705,
        4.582866757203896,
        4.582884875530742,
        4.582902993857589,
        4.582921112184435,
        4.582938753713206,
        4.582956872040052,
        4.582974990366898,
        4.582993108693745,
        4.583011227020591,
        4.583029345347437,
        4.583047463674283,
        4.5830655820011295,
        4.583083223529901,
        4.583101341856747,
        4.5831194601835925,
        4.583137578510439,
        4.583155696837285,
        4.583173815164131,
        4.583191933490977,
        4.583209575019749,
        4.583227693346595,
        4.583245811673441,
        4.583263930000287,
        4.583282048327134,
        4.58330016665398,
        4.583317808182751,
        4.583335926509597,
        4.583354044836444,
        4.58337216316329,
        4.583390281490136,
        4.583407923018907,
        4.583426041345754,
        4.5834441596726,
        4.583462277999446,
        4.583480396326292,
        4.5835523928356015,
        4.583570511162447,
        4.583588152691219,
        4.583606271018065,
        4.583624389344911,
        4.583642507671757,
        4.583660149200529,
        4.583678267527375,
        4.583696385854221,
        4.583714504181067,
        4.583732145709838,
        4.583750264036685,
        4.583768382363531,
        4.583786500690377,
        4.583804142219148,
        4.583822260545995,
        4.583840378872841,
        4.583858497199687,
        4.583876138728458,
        4.583894257055305,
        4.583912375382151,
        4.583948135237768,
        4.583966253564615,
        4.583984371891461,
        4.584002013420232,
        4.584020131747078,
        4.584038250073924,
        4.584055891602696,
        4.584074009929542,
        4.584092128256388,
        4.584110246583234,
        4.584127888112006,
        4.584146006438852,
        4.584164124765698,
        4.584181766294469,
        4.584199884621315,
        4.584218002948162,
        4.584235644476933,
        4.584253762803779,
        4.584271881130625,
        4.584289522659397,
        4.584307640986243,
        4.584325759313089,
        4.58434340084186,
        4.584361519168706,
        4.584379160697478,
        4.584397279024324,
        4.58441539735117,
        4.584433038879941,
        4.584451157206788,
        4.584469275533634,
        4.584486917062405,
        4.584505035389251,
        4.584523153716097,
        4.584540795244869,
        4.584558913571715,
        4.584576555100486,
        4.584594673427332,
        4.584612791754179,
        4.58463043328295,
        4.584648551609796,
        4.584666193138567,
        4.584684311465413,
        4.58470242979226,
        4.584720071321031,
        4.584738189647877,
        4.584755831176648,
        4.584773949503494,
        4.584791591032266,
        4.584809709359112,
        4.584827827685958,
        4.584845469214729,
        4.584863587541576,
        4.584881229070347,
        4.584899347397193,
        4.584916988925964,
        4.58493510725281,
        4.584953225579657,
        4.584970867108428,
        4.584988985435274,
        4.585006626964045,
        4.585024745290891,
        4.585042386819663,
        4.585060505146509,
        4.58507814667528,
        4.585096265002126,
        4.585113906530897,
        4.585132024857744,
        4.585149666386515,
        4.585167784713361,
        4.585185426242132,
        4.585203544568978,
        4.58522118609775,
        4.585239304424596,
        4.585256945953367,
        4.585275064280213,
        4.5852927058089845,
        4.585310824135831,
        4.5853284656646025,
        4.5853465839914485,
        4.58536422552022,
        4.585382343847066,
        4.585399985375838,
        4.5854181037026835,
        4.585435745231455,
        4.585453863558301,
        4.585471505087072,
        4.585489623413919,
        4.58550726494269,
        4.585524906471461,
        4.585543024798307,
        4.585560666327078,
        4.585578784653925,
        4.585596426182696,
        4.585614544509542,
        4.585632186038313,
        4.58565030436516,
        4.585667945893931,
        4.585685587422702,
        4.585703705749548,
        4.585721347278319,
        4.585739465605165,
        4.585757107133937,
        4.5857747486627085,
        4.5857928669895545,
        4.585810508518326,
        4.585828626845172,
        4.585846268373944,
        4.585863909902715,
        4.585988830998338,
        4.586006472527109,
        4.586024590853956,
        4.586042232382727,
        4.586060350709573,
        4.586077992238344,
        4.5860956337671155,
        4.586113752093961,
        4.5861313936227335,
        4.586149035151505,
        4.586167153478351,
        4.586184795007122,
        4.586202436535893,
        4.58622055486274,
        4.586238196391511,
        4.586255837920282,
        4.586273956247128,
        4.586291597775899,
        4.58630923930467,
        4.586327357631517,
        4.586344999160288,
        4.586362640689059,
        4.586380759015905,
        4.5863984005446765,
        4.5864160420734486,
        4.58643368360222,
        4.586451801929066,
        4.586469443457837,
        4.586487084986608,
        4.586505203313455,
        4.586522844842226,
        4.586540486370997,
        4.586558604697843,
        4.586576246226614,
        4.586593887755385,
        4.586611529284157,
        4.586629647611003,
        4.5866472891397745,
        4.586664930668546,
        4.586682572197317,
        4.586700690524163,
        4.586718332052935,
        4.586735973581706,
        4.586753615110477,
        4.586771733437323,
        4.586789374966094,
        4.586807016494865,
        4.586824658023637,
        4.586842776350483,
        4.5868604178792545,
        4.586878059408026,
        4.586895700936797,
        4.586913342465568,
        4.586931460792415,
        4.586949102321186,
        4.586966743849957,
        4.586984385378728,
        4.587002503705574,
        4.587020145234346,
        4.587037786763117,
        4.5870554282918885,
        4.58707306982066,
        4.587090711349431,
        4.587108829676277,
        4.587126471205049,
        4.58714411273382,
        4.587161754262591,
        4.587179395791362,
        4.587356764675225,
        4.587374406203996,
        4.587392047732767,
        4.587409689261539,
        4.5874278075883845,
        4.587445449117157,
        4.587463090645928,
        4.587480732174699,
        4.58749837370347,
        4.587516015232241,
        4.587533656761012,
        4.5875512982897835,
        4.5875689398185555,
        4.5875870581454015,
        4.587604699674173,
        4.587622341202944,
        4.587639982731715,
        4.587657624260486,
        4.587675265789258,
        4.587692907318029,
        4.5877105488468,
        4.587728190375572,
        4.587745831904343,
        4.587763473433114,
        4.587781591759961,
        4.587799233288732,
        4.587816874817503,
        4.587834516346274,
        4.587852157875045,
        4.5878697994038165,
        4.5878874409325885,
        4.58790508246136,
        4.587922723990131,
        4.587940365518902,
        4.587958007047673,
        4.587975648576444,
        4.587993290105215,
        4.588010931633987,
        4.588028573162759,
        4.58804621469153,
        4.588063856220301,
        4.588081497749072,
        4.588099139277843,
        4.588116780806614,
        4.588134422335386,
        4.5881520638641575,
        4.588169705392929,
        4.5881873469217,
        4.588204988450471,
        4.588222629979242,
        4.588240271508013,
        4.588257913036785,
        4.58832847915187,
        4.588346120680641,
        4.588363762209413,
        4.588381403738184,
        4.588399045266955,
        4.588416686795727,
        4.588434328324498,
        4.588451969853269,
        4.58846961138204,
        4.588487252910812,
        4.588504894439583,
        4.588522535968354,
        4.5885401774971255,
        4.588557819025897,
        4.588575460554668,
        4.588593102083439,
        4.588610743612211,
        4.588628385140982,
        4.588646026669753,
        4.58866319140045,
        4.588680832929221,
        4.588698474457992,
        4.588716115986763,
        4.588733757515535,
        4.588751399044306,
        4.588769040573077,
        4.588786682101849,
        4.58880432363062,
        4.588821965159391,
        4.588839606688162,
        4.588857248216934,
        4.58887441294763,
        4.588892054476402,
        4.588909696005173,
        4.588927337533944,
        4.588944979062715,
        4.588962620591486,
        4.588980262120257,
        4.588997903649029,
        4.589015068379726,
        4.589032709908497,
        4.589050351437268,
        4.589067992966039,
        4.58908563449481,
        4.5891032760235815,
        4.5891209175523535,
        4.58913808228305,
        4.589155723811821,
        4.589173365340592,
        4.589191006869363,
        4.5892086483981345,
        4.589226289926906,
        4.589243454657602,
        4.589261096186374,
        4.589278737715145,
        4.589296379243916,
        4.5893140207726875,
        4.589331662301459,
        4.589348827032155,
        4.589366468560926,
        4.589384110089697,
        4.589401751618469,
        4.5894193931472405,
        4.589436557877937,
        4.589454199406708,
        4.589471840935479,
        4.58948948246425,
        4.589507123993021,
        4.589524288723718,
        4.58954193025249,
        4.589559571781261,
        4.589577213310032,
        4.5895943780407285,
        4.5896120195695,
        4.589629661098271,
        4.589647302627042,
        4.589664944155813,
        4.58968210888651,
        4.589699750415281,
        4.589717391944053,
        4.589735033472824,
        4.58975219820352,
        4.589769839732291,
        4.589787481261062,
        4.589804645991759,
        4.58982228752053,
        4.589839929049302,
        4.589857570578073,
        4.589874735308769,
        4.589892376837541,
        4.589910018366312,
        4.589927659895083,
        4.589944824625779,
        4.58996246615455,
        4.589980107683322,
        4.589997272414019,
        4.59001491394279,
        4.590032555471561,
        4.590049720202257,
        4.590067361731029,
        4.5900850032598,
        4.590102644788571,
        4.590119809519267,
        4.590137451048039,
        4.59015509257681,
        4.590172257307507,
        4.590189898836278,
        4.590207540365049,
        4.590224705095745,
        4.590242346624517,
        4.590259988153288,
        4.590277152883984,
        4.590294794412756,
        4.590312435941527,
        4.590329600672224,
        4.590347242200995,
        4.590364883729766,
        4.590382048460462,
        4.590399689989233,
        4.59041685471993,
        4.590434496248701,
        4.590452137777473,
        4.590469302508169,
        4.5904869440369405,
        4.590504585565712,
        4.590521750296408,
        4.590539391825179,
        4.5905565565558755,
        4.590574198084647,
        4.590591839613418,
        4.590609004344114,
        4.590626645872886,
        4.5906438106035825,
        4.590661452132354,
        4.590679093661125,
        4.590696258391821,
        4.590713899920592,
        4.590731064651289,
        4.59074870618006,
        4.590766347708831,
        4.590783512439527,
        4.590801153968299,
        4.590818318698996,
        4.590835960227767,
        4.590853124958463,
        4.590870766487234,
        4.5908884080160055,
        4.590905572746702,
        4.590923214275473,
        4.590940379006169,
        4.590958020534941,
        4.590975185265638,
        4.590992826794409,
        4.591009991525105,
        4.591027633053876,
        4.591044797784573,
        4.591062439313344,
        4.59107960404404,
        4.591097245572811,
        4.5911148871015826,
        4.591132051832279,
        4.591149693361051,
        4.591166858091747,
        4.5911844996205184,
        4.591201664351215,
        4.591219305879986,
        4.591236470610682,
        4.5912541121394534,
        4.59127127687015,
        4.591288918398921,
        4.591306083129617,
        4.591323724658389,
        4.591340889389086,
        4.591358054119782,
        4.591375695648553,
        4.5913928603792495,
        4.591410501908021,
        4.591427666638717,
        4.591445308167488,
        4.5914624728981845,
        4.591480114426956,
        4.591497279157652,
        4.591514920686423,
        4.5915320854171195,
        4.591549726945892,
        4.591566891676588,
        4.591584056407284,
        4.591601697936055,
        4.591618862666752,
        4.591636504195523,
        4.591653668926219,
        4.59167131045499,
        4.591688475185687,
        4.591705639916383,
        4.591723281445154,
        4.591740446175851,
        4.591758087704623,
        4.591775252435319,
        4.59179289396409,
        4.5918100586947865,
        4.591827223425483,
        4.591844864954254,
        4.59186202968495,
        4.5918796712137215,
        4.591896835944418,
        4.591914000675114,
        4.591931642203885,
        4.591948806934582,
        4.591965971665279,
        4.59198361319405,
        4.5920007779247465,
        4.592018419453518,
        4.592035584184214,
        4.59205274891491,
        4.5920703904436815,
        4.592087555174378,
        4.592104719905074,
        4.592122361433845,
        4.592139526164542,
        4.592156690895238,
        4.59217433242401,
        4.592191497154706,
        4.592208661885403,
        4.592226303414174,
        4.59224346814487,
        4.592260632875567,
        4.592278274404338,
        4.592295439135034,
        4.5923126038657305,
        4.592330245394502,
        4.592347410125198,
        4.592364574855894,
        4.5923822163846655,
        4.592399381115362,
        4.592416545846058,
        4.59243418737483,
        4.592451352105527,
        4.592468516836223,
        4.592486158364994,
        4.59250332309569,
        4.592520487826387,
        4.592537652557083,
        4.592555294085854,
        4.592572458816551,
        4.592589623547247,
        4.592607265076018,
        4.5926244298067145,
        4.592641594537411,
        4.592658759268107,
        4.592676400796879,
        4.592693565527576,
        4.592710730258272,
        4.592727894988968,
        4.592745536517739,
        4.592762701248436,
        4.592779865979132,
        4.5927970307098285,
        4.5928146722386,
        4.592831836969296,
        4.592849001699992,
        4.592866166430689,
        4.592883331161385,
        4.592900972690156,
        4.5929181374208525,
        4.592935302151549,
        4.592952466882245,
        4.592970108411017,
        4.592987273141714,
        4.59300443787241,
        4.593021602603106,
        4.593038767333803,
        4.593056408862574,
        4.59307357359327,
        4.5930907383239665,
        4.593107903054663,
        4.593125067785359,
        4.59314270931413,
        4.593159874044827,
        4.593177038775523,
        4.593194203506219,
        4.593211368236916,
        4.593228532967612,
        4.593246174496384,
        4.5932633392270805,
        4.593280503957777,
        4.593297668688473,
        4.59331483341917,
        4.593331998149866,
        4.593349639678637,
        4.593366804409333,
        4.59338396914003,
        4.593401133870726,
        4.5934182986014225,
        4.593435463332119,
        4.593452628062815,
        4.593470269591586,
        4.593487434322283,
        4.593504599052979,
        4.593521763783675,
        4.593538928514372,
        4.593556093245068,
        4.593573257975764,
        4.593590422706461,
        4.593608064235233,
        4.593625228965929,
        4.5936423936966255,
        4.593659558427322,
        4.593676723158018,
        4.593693887888715,
        4.593711052619411,
        4.593728217350107,
        4.593745382080804,
        4.5937625468115,
        4.593779711542196,
        4.5937973530709675,
        4.593814517801664,
        4.59383168253236,
        4.5938488472630565,
        4.593866011993753,
        4.595197232218872,
        4.5965627819053845,
        4.596583284222605,
        4.596603786539826,
        4.596624288857047,
        4.596644791174268,
        4.596665293491488,
        4.596685795808709,
        4.5967062981259295,
        4.5967263236450755,
        4.596746825962296,
        4.596767328279516,
        4.596787830596737,
        4.596808332913958,
        4.596828835231179,
        4.5968493375484,
        4.596869363067545,
        4.596889865384766,
        4.5969103677019865,
        4.596930870019207,
        4.596951372336428,
        4.596971874653649,
        4.596992376970869,
        4.597012402490015,
        4.597032904807236,
        4.597053407124457,
        4.5970739094416775,
        4.597094411758897,
        4.5971144372780435,
        4.597134939595264,
        4.597155441912485,
        4.597175944229706,
        4.597196446546926,
        4.597216472066072,
        4.597236974383293,
        4.597257476700514,
        4.5972779790177345,
        4.5972984813349544,
        4.5973185068541005,
        4.597339009171321,
        4.597359511488542,
        4.597380013805763,
        4.597400039324908,
        4.597420541642129,
        4.59744104395935,
        4.597461546276571,
        4.597481571795716,
        4.597502074112937,
        4.5975225764301575,
        4.597543078747378,
        4.597563104266524,
        4.597583606583744,
        4.597604108900965,
        4.597624611218186,
        4.597644636737332,
        4.597665139054553,
        4.597685641371773,
        4.597705666890919,
        4.59772616920814,
        4.5977466715253605,
        4.597767173842581,
        4.5977871993617265,
        4.597807701678947,
        4.597828203996168,
        4.597848229515314,
        4.597868731832534,
        4.597889234149755,
        4.597909259668901,
        4.597929761986122,
        4.597950264303343,
        4.597970289822488,
        4.597990792139709,
        4.59801129445693,
        4.598031319976076,
        4.598051822293296,
        4.598072324610516,
        4.598092350129662,
        4.598112852446883,
        4.598132877966029,
        4.598153380283249,
        4.59817388260047,
        4.598193908119616,
        4.598214410436837,
        4.598234912754058,
        4.598254938273203,
        4.598275440590424,
        4.59829546610957,
        4.598315968426791,
        4.598336470744011,
        4.598356496263157,
        4.5983769985803775,
        4.5983970240995236,
        4.5984175264167435,
        4.598438028733964,
        4.59845805425311,
        4.598478556570331,
        4.598498582089477,
        4.598519084406697,
        4.598539109925843,
        4.598559612243064,
        4.59857963776221,
        4.59860014007943,
        4.598620642396651,
        4.598640667915797,
        4.598661170233018,
        4.598681195752163,
        4.598701698069384,
        4.59872172358853,
        4.598742225905751,
        4.598762251424897,
        4.598782753742117,
        4.598802779261263,
        4.5988232815784835,
        4.59884330709763,
        4.5988638094148495,
        4.5988838349339956,
        4.598904337251216,
        4.598924362770362,
        4.598944865087582,
        4.598964890606728,
        4.598985392923949,
        4.599005418443095,
        4.599025920760316,
        4.599045946279461,
        4.599066448596682,
        4.599086474115828,
        4.599106976433049,
        4.599127001952194,
        4.599147504269415,
        4.599167529788561,
        4.599187555307707,
        4.599208057624927,
        4.599228083144073,
        4.599248585461294,
        4.59926861098044,
        4.59928911329766,
        4.599309138816806,
        4.599329164335952,
        4.599349666653173,
        4.599369692172318,
        4.599390194489539,
        4.599410220008685,
        4.599430722325906,
        4.599450747845051,
        4.599470773364197,
        4.599491275681418,
        4.599511301200564,
        4.599531326719709,
        4.59955182903693,
        4.599571854556076,
        4.599592356873297,
        4.599612382392442,
        4.599632407911588,
        4.599652910228809,
        4.599672935747955,
        4.5996929612671,
        4.599713463584321,
        4.599733489103467,
        4.5997539914206875,
        4.599774016939833,
        4.599794042458979,
        4.5998145447761996,
        4.599834570295346,
        4.599854595814491,
        4.599875098131712,
        4.599895123650858,
        4.599915149170004,
        4.599935651487224,
        4.59995567700637,
        4.599975702525516,
        4.599995728044662,
        4.600016230361882,
        4.600036255881028,
        4.600056281400174,
        4.600076783717395,
        4.60009680923654,
        4.600116834755686,
        4.600136860274832,
        4.600157362592053,
        4.600177388111198,
        4.600197413630344,
        4.600217915947565,
        4.600237941466711,
        4.600257966985856,
        4.600277992505002,
        4.600298494822223,
        4.600318520341368,
        4.600338545860514,
        4.60035857137966,
        4.600379073696881,
        4.600399099216026,
        4.600419124735172,
        4.600439150254318,
        4.600459652571539,
        4.600479678090684,
        4.60049970360983,
        4.600519729128976,
        4.600539754648121,
        4.600560256965342,
        4.600580282484488,
        4.600600308003634,
        4.600620333522779,
        4.600640359041925,
        4.600660861359146,
        4.600680886878292,
        4.600700912397437,
        4.600720937916583,
        4.6007409634357295,
        4.6007609889548755,
        4.6007814912720955,
        4.6008015167912415,
        4.6008215423103875,
        4.600841567829533,
        4.600861593348679,
        4.600881618867825,
        4.600902121185046,
        4.600922146704191,
        4.600942172223337,
        4.600962197742483,
        4.600982223261629,
        4.601002248780774,
        4.60102227429992,
        4.601042776617141,
        4.601062802136286,
        4.601082827655432,
        4.601102853174578,
        4.601122878693724,
        4.601142904212869,
        4.601162929732015,
        4.601182955251161,
        4.6012029807703065,
        4.601223006289453,
        4.601243508606673,
        4.6012635341258195,
        4.601283559644965,
        4.601303585164111,
        4.601323610683257,
        4.601343636202402,
        4.601363661721548,
        4.601383687240694,
        4.60140371275984,
        4.601423738278985,
        4.601443763798131,
        4.601463789317277,
        4.601483814836422,
        4.601503840355568,
        4.601523865874714,
        4.60154389139386,
        4.601563916913006,
        4.601584419230226,
        4.6016044447493725,
        4.6016244702685185,
        4.601644495787664,
        4.60166452130681,
        4.601684546825956,
        4.601704572345101,
        4.601724597864247,
        4.601744623383393,
        4.601764648902538,
        4.601784674421684,
        4.60180469994083,
        4.601824725459976,
        4.601844750979121,
        4.601864776498267,
        4.6018848020174135,
        4.601904350738484,
        4.60192437625763,
        4.601944401776776,
        4.601964427295921,
        4.60216468248738,
        4.602184708006525,
        4.602204733525671,
        4.602224759044817,
        4.602244307765887,
        4.602264333285033,
        4.602284358804179,
        4.6023043843233244,
        4.6023244098424705,
        4.6023444353616165,
        4.602364460880763,
        4.602384486399908,
        4.602404511919054,
        4.6024245374382,
        4.60244408615927,
        4.602464111678416,
        4.602484137197562,
        4.602504162716707,
        4.602524188235853,
        4.6025442137549994,
        4.6025642392741455,
        4.602583787995216,
        4.602603813514362,
        4.602623839033508,
        4.602643864552653,
        4.602663890071799,
        4.602683915590945,
        4.60270394111009,
        4.6027234898311615,
        4.602743515350308,
        4.602763540869453,
        4.602783566388599,
        4.602803591907745,
        4.602823140628815,
        4.602843166147961,
        4.602863191667107,
        4.602883217186253,
        4.602903242705398,
        4.60292279142647,
        4.602942816945616,
        4.602962842464761,
        4.602982867983907,
        4.603002893503053,
        4.603022442224123,
        4.603042467743269,
        4.603062493262415,
        4.6030825187815605,
        4.603102067502632,
        4.603122093021778,
        4.603142118540923,
        4.603162144060069,
        4.60318169278114,
        4.603201718300285,
        4.603221743819431,
        4.603241769338577,
        4.603261318059648,
        4.603281343578794,
        4.60330136909794,
        4.603321394617086,
        4.603340943338156,
        4.603360968857302,
        4.603380994376448,
        4.6034010198955935,
        4.603420568616665,
        4.603440594135811,
        4.603460619654956,
        4.603480168376027,
        4.603500193895173,
        4.603520219414318,
        4.60353976813539,
        4.603559793654536,
        4.603579819173681,
        4.603599367894752,
        4.603619393413898,
        4.603639418933043,
        4.603658967654114,
        4.6036789931732605,
        4.603699018692406,
        4.603718567413477,
        4.603738592932623,
        4.603758618451768,
        4.603778167172839,
        4.603798192691985,
        4.6038182182111305,
        4.603837766932202,
        4.603857792451348,
        4.603877817970493,
        4.603897366691564,
        4.60391739221071,
        4.6039369409317805,
        4.603956966450927,
        4.603976991970073,
        4.603996540691143,
        4.604016566210289,
        4.60403611493136,
        4.604056140450505,
        4.604076165969651,
        4.604095714690723,
        4.604115740209868,
        4.604135288930939,
        4.604155314450085,
        4.60417533996923,
        4.6041948886903015,
        4.6042149142094475,
        4.604234462930518,
        4.604254488449664,
        4.604274037170735,
        4.60429406268988,
        4.604314088209026,
        4.604333636930098,
        4.604353662449243,
        4.604373211170314,
        4.60439323668946,
        4.60441278541053,
        4.604432810929676,
        4.604452359650747,
        4.604472385169893,
        4.604491933890964,
        4.604511959410109,
        4.60453150813118,
        4.604551533650326,
        4.604571082371397,
        4.604591107890543,
        4.604610656611614,
        4.604630682130759,
        4.6046502308518305,
        4.6046702563709765,
        4.604689805092047,
        4.604709830611193,
        4.604729379332264,
        4.604749404851409,
        4.6047689535724805,
        4.6047889790916265,
        4.604808527812697,
        4.604828553331843,
        4.604848102052914,
        4.604868127572059,
        4.604887676293131,
        4.604907701812277,
        4.604927250533347,
        4.604946799254418,
        4.604966824773563,
        4.604986373494635,
        4.605006399013781,
        4.605025947734851,
        4.605045973253997,
        4.605065521975068,
        4.605085070696139,
        4.605105096215285,
        4.605124644936356,
        4.605144670455501,
        4.605164219176572,
        4.605183767897643,
        4.605203793416789,
        4.60522334213786,
        4.605243367657005,
        4.605262916378076,
        4.6052824650991475,
        4.605302490618293,
        4.605322039339364,
        4.60534206485851,
        4.60536161357958,
        4.6053811623006515,
        4.605401187819798,
        4.605420736540868,
        4.605440285261939,
        4.605460310781084,
        4.6054798595021555,
        4.605499408223227,
        4.605519433742372,
        4.605538982463443,
        4.605558531184514,
        4.60557855670366,
        4.605598105424731,
        4.605617654145801,
        4.605637679664947,
        4.605657228386018,
        4.605676777107089,
        4.605696802626235,
        4.605716351347306,
        4.605735900068376,
        4.6057559255875224,
        4.605775474308594,
        4.605795023029664,
        4.605814571750735,
        4.60583459726988,
        4.605854145990952,
        4.605873694712023,
        4.605893720231168,
        4.605913268952239,
        4.6059328176733105,
        4.605952366394381,
        4.605972391913527,
        4.605991940634597,
        4.6060114893556685,
        4.60603103807674,
        4.606051063595885,
        4.606070612316956,
        4.606090161038027,
        4.606109709759098,
        4.606129735278244,
        4.606149283999314,
        4.606168832720385,
        4.606188381441457,
        4.606208406960602,
        4.606227955681673,
        4.606247504402744,
        4.606267053123815,
        4.606286601844886,
        4.606306627364031,
        4.606326176085102,
        4.606345724806173,
        4.606365273527244,
        4.606384822248315,
        4.606404847767461,
        4.606424396488531,
        4.606443945209603,
        4.606463493930673,
        4.606483042651744,
        4.60650306817089,
        4.606522616891961,
        4.606542165613032,
        4.606561714334102,
        4.6065812630551735,
        4.606600811776245,
        4.60662083729539,
        4.606640386016461,
        4.606659934737532,
        4.606679483458603,
        4.606699032179674,
        4.606718580900744,
        4.6067381296218155,
        4.606757678342887,
        4.606777703862032,
        4.606797252583103,
        4.6068168013041735,
        4.606836350025245,
        4.606855898746316,
        4.606875447467386,
        4.6068949961884575,
        4.606914544909528,
        4.606934093630599,
        4.606954119149745,
        4.6069736678708155,
        4.606993216591887,
        4.607012765312957,
        4.607032314034028,
        4.6070518627551,
        4.60707141147617,
        4.607090960197241,
        4.6071105089183115,
        4.607130057639383,
        4.607149606360454,
        4.607169155081524,
        4.607188703802596,
        4.607208729321742,
        4.607228278042812,
        4.607247826763883,
        4.607267375484954,
        4.607286924206025,
        4.607306472927096,
        4.607326021648166,
        4.607345570369238,
        4.607365119090308,
        4.607384667811379,
        4.6074042165324505,
        4.607423765253521,
        4.607443313974592,
        4.607462862695662,
        4.607482411416734,
        4.607501960137805,
        4.607521508858875,
        4.6075410575799465,
        4.607560606301017,
        4.607580155022088,
        4.607599703743158,
        4.60761925246423,
        4.607638801185301,
        4.607658349906371,
        4.6076778986274425,
        4.607697447348513,
        4.607716996069584,
        4.607736544790655,
        4.607756093511726,
        4.607775165434722,
        4.6077947141557924,
        4.607814262876864,
        4.607833811597935,
        4.607853360319005,
        4.6078729090400765,
        4.607892457761147,
        4.607912006482218,
        4.607931555203289,
        4.60795110392436,
        4.607970652645431,
        4.607990201366501,
        4.6080097500875725,
        4.608029298808644,
        4.608048370731639,
        4.6080679194527105,
        4.608087468173781,
        4.608107016894852,
        4.6081265656159225,
        4.608146114336994,
        4.608165663058065,
        4.608185211779135,
        4.6082047605002066,
        4.608223832423202,
        4.608243381144273,
        4.608262929865344,
        4.608282478586415,
        4.608302027307486,
        4.6083215760285565,
        4.608341124749628,
        4.608360196672623,
        4.6083797453936945,
        4.608399294114766,
        4.608418842835836,
        4.608438391556907,
        4.608457940277978,
        4.608477488999049,
        4.6084965609220445,
        4.608516109643116,
        4.608535658364187,
        4.608555207085257,
        4.608574755806329,
        4.608593827729324,
        4.608613376450395,
        4.608632925171466,
        4.608652473892537,
        4.608672022613608,
        4.608691094536604,
        4.608710643257675,
        4.608730191978745,
        4.608749740699817,
        4.608769289420888,
        4.608788361343883,
        4.608807910064955,
        4.608827458786025,
        4.608847007507096,
        4.608866079430092,
        4.608885628151163,
        4.608905176872233,
        4.608924725593305,
        4.608943797516301,
        4.608963346237371,
        4.608982894958443,
        4.609002443679513,
        4.609021515602509,
        4.60904106432358,
        4.609060613044651,
        4.609080161765722,
        4.609099233688718,
        4.609118782409789,
        4.609138331130859,
        4.609157403053856,
        4.609176951774926,
        4.609196500495997,
        4.609216049217069,
        4.609235121140064,
        4.609254669861135,
        4.609274218582206,
        4.609293290505202,
        4.6093128392262726,
        4.609332387947344,
        4.609351459870339,
        4.609371008591411,
        4.609390557312482,
        4.609409629235477,
        4.609429177956549,
        4.609448726677619,
        4.609467798600615,
        4.609487347321686,
        4.609506896042757,
        4.6095259679657525,
        4.609545516686824,
        4.609720024782237,
        4.609739096705233,
        4.609758645426304,
        4.6097777173493,
        4.6097972660703705,
        4.609816814791442,
        4.609835886714437,
        4.609855435435509,
        4.609874507358504,
        4.609894056079575,
        4.609913604800647,
        4.609932676723642,
        4.609952225444713,
        4.609971297367709,
        4.60999084608878,
        4.6100103948098505,
        4.610029466732847,
        4.610049015453917,
        4.610068087376914,
        4.610087636097984,
        4.6101067080209805,
        4.610126256742052,
        4.610145328665047,
        4.610164877386119,
        4.610183949309114,
        4.610203498030185,
        4.610223046751256,
        4.610242118674252,
        4.6102616673953225,
        4.610280739318319,
        4.610300288039389,
        4.610319359962386,
        4.610338908683457,
        4.6103579806064525,
        4.610377529327524,
        4.610396601250519,
        4.6104161499715905,
        4.610435221894586,
        4.610454770615657,
        4.610473842538653,
        4.610493391259724,
        4.61051246318272,
        4.610532011903791,
        4.6105510838267865,
        4.610570155749783,
        4.610589704470854,
        4.61060877639385,
        4.610628325114921,
        4.6106473970379165,
        4.610666945758988,
        4.610686017681983,
        4.6107055664030545,
        4.61072463832605,
        4.610744187047121,
        4.610763258970117,
        4.610782330893113,
        4.610801879614184,
        4.61082095153718,
        4.610840500258251,
        4.610859572181247,
        4.610879120902318,
        4.610898192825314,
        4.61091726474831,
        4.6109368134693804,
        4.610955885392377,
        4.610975434113447,
        4.610994506036444,
        4.611013577959439,
        4.6110331266805105,
        4.611052198603506,
        4.6110712705265025,
        4.611090819247573,
        4.611109891170569,
        4.61112943989164,
        4.611148511814636,
        4.611167583737632,
        4.611187132458703,
        4.611206204381699,
        4.611225276304695,
        4.611244825025766,
        4.611263896948762,
        4.611282968871758,
        4.611302517592828,
        4.611321589515825,
        4.61134066143882,
        4.611360210159892,
        4.611379282082887,
        4.611398354005884,
        4.611417902726954,
        4.61143697464995,
        4.611456046572946,
        4.611475595294017,
        4.611494667217013,
        4.611513739140009,
        4.6115332878610795,
        4.611552359784076,
        4.6115714317070715,
        4.611590980428143,
        4.611610052351138,
        4.611629124274135,
        4.61164819619713,
        4.6116677449182015,
        4.611686816841198,
        4.6117058887641935,
        4.611725437485265,
        4.61174450940826,
        4.611763581331257,
        4.611782653254252,
        4.6118022019753235,
        4.611821273898319,
        4.6118403458213155,
        4.611859417744311,
        4.611878966465382,
        4.611898038388378,
        4.611917110311374,
        4.61193618223437,
        4.611955730955441,
        4.611974802878437,
        4.611993874801433,
        4.612012946724429,
        4.612032018647425,
        4.612051567368495,
        4.612070639291492,
        4.612089711214487,
        4.612108783137484,
        4.612127855060479,
        4.612147403781551,
        4.612166475704546,
        4.612185547627543,
        4.612204619550538,
        4.612223691473535,
        4.612243240194605,
        4.612262312117601,
        4.612281384040597,
        4.612300455963593,
        4.612319527886589,
        4.612338599809585,
        4.612358148530656,
        4.612377220453652,
        4.612396292376648,
        4.612415364299644,
        4.61243443622264,
        4.612453508145636,
        4.612472580068632,
        4.612492128789703,
        4.6125112007126985,
        4.612530272635695,
        4.6125493445586905,
        4.612568416481687,
        4.6125874884046825,
        4.612606560327679,
        4.6126256322506745,
        4.612645180971746,
        4.612664252894741,
        4.612683324817738,
        4.612702396740733,
        4.61272146866373,
        4.612740540586725,
        4.612759612509722,
        4.612778684432717,
        4.612797756355714,
        4.612816828278709,
        4.61283637699978,
        4.612855448922776,
        4.612874520845772,
        4.612893592768768,
        4.612912664691764,
        4.61293173661476,
        4.612950808537756,
        4.612969880460752,
        4.612988952383748,
        4.613008024306744,
        4.61302709622974,
        4.613046168152736,
        4.613065240075732,
        4.613084311998728,
        4.613103383921724,
        4.61312245584472,
        4.613141527767716,
        4.613160599690712,
        4.613179671613708,
        4.613198743536704,
        4.6132178154596994,
        4.613236887382696,
        4.613255959305691,
        4.613275031228688,
        4.613294103151683,
        4.61331317507468,
        4.613332246997675,
        4.613351318920672,
        4.613370390843667,
        4.613389462766664,
        4.613408534689659,
        4.613427606612656,
        4.613446678535651,
        4.613465750458648,
        4.613484822381643,
        4.61350389430464,
        4.613522966227635,
        4.613542038150632,
        4.613561110073627,
        4.613580181996624,
        4.613599253919619,
        4.613618325842616,
        4.613637397765611,
        4.613656469688608,
        4.613675541611603,
        4.6136946135346,
        4.613713685457595,
        4.613732757380592,
        4.6137513525055125,
        4.613770424428508,
        4.6137894963515045,
        4.6138085682745,
        4.6138276401974965,
        4.613846712120492,
        4.6138657840434885,
        4.613884855966484,
        4.6139039278894804,
        4.613922999812476,
        4.613942071735472,
        4.613960666860393,
        4.61397973878339,
        4.613998810706385,
        4.614017882629382,
        4.614036954552377,
        4.614056026475374,
        4.614075098398369,
        4.614094170321366,
        4.614112765446286,
        4.614131837369282,
        4.614150909292278,
        4.614169981215274,
        4.61418905313827,
        4.614208125061266,
        4.6142267201861875,
        4.614245792109183,
        4.6142648640321795,
        4.614283935955175,
        4.6143030078781715,
        4.614322079801167,
        4.614340674926089,
        4.614359746849084,
        4.61437881877208,
        4.614397890695076,
        4.614416962618072,
        4.614435557742993,
        4.614454629665989,
        4.614473701588985,
        4.614492773511981,
        4.614511845434977,
        4.614530440559898,
        4.614549512482895,
        4.61456858440589,
        4.614587656328887,
        4.614606728251882,
        4.614625323376803,
        4.614644395299799,
        4.614663467222795,
        4.614682539145791,
        4.614701134270712,
        4.6147202061937085,
        4.614739278116704,
        4.6147583500397005,
        4.614776945164621,
        4.614796017087618,
        4.614815089010613,
        4.61483416093361,
        4.61485275605853,
        4.614871827981526,
        4.614890899904522,
        4.614909971827518,
        4.61492856695244,
        4.614947638875435,
        4.614966710798432,
        4.614985305923352,
        4.615004377846349,
        4.615023449769344,
        4.615042521692341,
        4.6150611168172615,
        4.615080188740257,
        4.6150992606632535,
        4.615117855788174,
        4.615136927711171,
        4.615155999634166,
        4.615174594759088,
        4.615193666682083,
        4.61521273860508,
        4.615231333730001,
        4.615250405652996,
        4.615269477575993,
        4.615288072700913,
        4.61530714462391,
        4.615326216546905,
        4.615344811671827,
        4.6153638835948225,
        4.615382955517819,
        4.61540155064274,
        4.615420622565735,
        4.615439217690657,
        4.6154582896136525,
        4.615477361536649,
        4.61549595666157,
        4.615515028584566,
        4.615534100507562,
        4.615552695632482,
        4.615571767555479,
        4.6155903626804,
        4.615609434603396,
        4.615628506526392,
        4.615647101651313,
        4.615666173574309,
        4.61568476869923,
        4.615703840622226,
        4.615722912545222,
        4.615741507670143,
        4.615760579593139,
        4.61577917471806,
        4.615798246641056,
        4.6158168417659775,
        4.615835913688973,
        4.6158549856119695,
        4.61587358073689,
        4.615892652659886,
        4.615911247784807,
        4.615930319707803,
        4.615948914832725,
        4.61596798675572,
        4.615986581880642,
        4.616005653803637,
        4.616024725726633,
        4.6160433208515546,
        4.61606239277455,
        4.616080987899472,
        4.616100059822467,
        4.616118654947389,
        4.6161377268703845,
        4.616156321995305,
        4.616175393918302,
        4.616193989043222,
        4.616213060966219,
        4.61623165609114,
        4.616250728014136,
        4.616269323139057,
        4.616288395062052,
        4.616306990186974,
        4.6163260621099695,
        4.616344657234891,
        4.616363729157887,
        4.616382324282808,
        4.616400919407729,
        4.616419991330725,
        4.616438586455646,
        4.616457658378642,
        4.6164762535035635,
        4.616495325426559,
        4.616513920551481,
        4.616532992474476,
        4.616551587599397,
        4.616570659522393,
        4.616589254647314,
        4.616607849772236,
        4.616626921695231,
        4.616645516820152,
        4.616664588743149,
        4.616683183868069,
        4.616702255791066,
        4.6167208509159865,
        4.616739446040908,
        4.616758517963904,
        4.616777113088824,
        4.616796185011821,
        4.616814780136742,
        4.616833375261663,
        4.616852447184659,
        4.61687104230958,
        4.616890114232576,
        4.616908709357497,
        4.616927304482418,
        4.616946376405414,
        4.616964971530336,
        4.616983566655256,
        4.617002638578252,
        4.6170212337031735,
        4.617039828828094,
        4.617058900751091,
        4.6170774958760115,
        4.617096567799008,
        4.617115162923929,
        4.617133758048849,
        4.617152829971846,
        4.617171425096767,
        4.617358806740202,
        4.617377401865124,
        4.617396473788119,
        4.61741506891304,
        4.617433664037962,
        4.617452735960957,
        4.617471331085879,
        4.6174899262108,
        4.61750852133572,
        4.617527593258717,
        4.6175461883836375,
        4.617564783508559,
        4.617583855431555,
        4.6176024505564754,
        4.617621045681397,
        4.617639640806318,
        4.617658712729314,
        4.617677307854235,
        4.617695902979156,
        4.617714498104077,
        4.617733570027073,
        4.617752165151995,
        4.617770760276915,
        4.617789355401836,
        4.617807950526758,
        4.617827022449753,
        4.617845617574675,
        4.617864212699596,
        4.617882807824516,
        4.617901879747513,
        4.617920474872434,
        4.617939069997355,
        4.617957665122276,
        4.617976260247197,
        4.617995332170193,
        4.618013927295114,
        4.618032522420036,
        4.618051117544956,
        4.618069712669877,
        4.6180887845928735,
        4.618107379717794,
        4.618125974842716,
        4.618144569967637,
        4.618163165092557,
        4.618181760217479,
        4.618200832140475,
        4.618219427265396,
        4.618238022390317,
        4.618256617515238,
        4.618275212640159,
        4.61829380776508,
        4.618312402890001,
        4.618331474812997,
        4.618350069937918,
        4.61836866506284,
        4.6183872601877605,
        4.618405855312681,
        4.618424450437603,
        4.618443045562524,
        4.618461640687444,
        4.618480712610441,
        4.6184993077353615,
        4.618517902860283,
        4.618536497985204,
        4.618555093110125,
        4.618573688235046,
        4.618592283359967,
        4.618610878484889,
        4.6186294736098095,
        4.61864806873473,
        4.618667140657727,
        4.618685735782647,
        4.618704330907569,
        4.61872292603249,
        4.6187415211574105,
        4.618760116282332,
        4.618778711407253,
        4.618797306532174,
        4.618815901657095,
        4.618834496782016,
        4.618853091906938,
        4.6188716870318585,
        4.618890282156779,
        4.618908877281701,
        4.618927472406622,
        4.618946067531542,
        4.618964662656464,
        4.618983257781385,
        4.619002329704381,
        4.619020924829302,
        4.619039519954223,
        4.619058115079144,
        4.619076710204065,
        4.619095305328986,
        4.6191139004539075,
        4.619132495578828,
        4.61915109070375,
        4.619169685828671,
        4.619188280953591,
        4.619206876078513,
        4.619225471203434,
        4.6192440663283545,
        4.619262661453276,
        4.619281256578197,
        4.619299374905043,
        4.6193179700299645,
        4.619336565154885,
        4.619355160279807,
        4.619373755404728,
        4.619392350529648,
        4.61941094565457,
        4.619429540779491,
        4.6194481359044115,
        4.619466731029333,
        4.619485326154254,
        4.6195039212791755,
        4.619522516404096,
        4.619541111529017,
        4.619559706653939,
        4.619578301778859,
        4.61959689690378,
        4.619615492028702,
        4.619633610355548,
        4.6196522054804685,
        4.61967080060539,
        4.619689395730311,
        4.6197079908552325,
        4.619726585980153,
        4.619745181105074,
        4.619763776229996,
        4.619782371354916,
        4.619800966479837,
        4.619819084806684,
        4.619837679931605,
        4.6198562750565255,
        4.619874870181447,
        4.619893465306368,
        4.6199120604312895,
        4.61993065555621,
        4.619949250681131,
        4.619967369007978,
        4.619985964132899,
        4.620004559257819,
        4.620023154382741,
        4.620041749507662,
        4.6200603446325825,
        4.620078939757504,
        4.62009705808435,
        4.620115653209271,
        4.6201342483341925,
        4.620152843459113,
        4.620171438584035,
        4.620190033708956,
        4.620208152035802,
        4.620226747160723,
        4.620245342285644,
        4.620263937410565,
        4.620282532535486,
        4.620300650862332,
        4.620319245987253,
        4.620337841112175,
        4.6203564362370955,
        4.620375031362016,
        4.620393149688863,
        4.620411744813784,
        4.6204303399387046,
        4.620448935063626,
        4.620467530188547,
        4.620485648515393,
        4.6205042436403145,
        4.620522838765235,
        4.620541433890157,
        4.620559552217003,
        4.620578147341924,
        4.620596742466845,
        4.620615337591766,
        4.620633455918612,
        4.620652051043534,
        4.620670646168454,
        4.620689241293375,
        4.620707359620222,
        4.620725954745143,
        4.6207445498700634,
        4.620763144994985,
        4.620781263321831,
        4.620799858446752,
        4.620818453571673,
        4.620836571898519,
        4.62085516702344,
        4.620873762148362,
        4.6208923572732825,
        4.6209104756001285,
        4.62092907072505,
        4.620947665849971,
        4.620965784176817,
        4.620984379301738,
        4.621002974426659,
        4.621021092753505,
        4.621039687878427,
        4.6210582830033475,
        4.6210764013301935,
        4.621094996455115,
        4.621113591580036,
        4.621131709906882,
        4.6211503050318035,
        4.621168900156724,
        4.62118701848357,
        4.621205613608492,
        4.6212242087334126,
        4.6212423270602585,
        4.62126092218518,
        4.621279517310101,
        4.621297635636947,
        4.6213162307618685,
        4.621334825886789,
        4.621352944213635,
        4.621371539338557,
        4.621389657665403,
        4.6214082527903235,
        4.621426847915245,
        4.621444966242091,
        4.621463561367012,
        4.621481679693859,
        4.6215002748187795,
        4.6215188699437,
        4.621536988270547,
        4.621555583395468,
        4.621573701722314,
        4.621592296847235,
        4.621610891972156,
        4.621629010299002,
        4.621647605423924,
        4.62166572375077,
        4.62168431887569,
        4.621702914000612,
        4.621721032327458,
        4.621739627452379,
        4.621757745779226,
        4.621776340904146,
        4.621794459230992,
        4.621813054355914,
        4.62183117268276,
        4.621849767807681,
        4.621867886134527,
        4.621886481259448,
        4.621905076384369,
        4.621923194711215,
        4.621941789836137,
        4.6219599081629825,
        4.621978503287903,
        4.62199662161475,
        4.622015216739671,
        4.622033335066517,
        4.6220519301914385,
        4.622070048518284,
        4.622088643643205,
        4.622106761970052,
        4.622125357094973,
        4.622143475421819,
        4.62216207054674,
        4.622180188873586,
        4.622198783998507,
        4.622216902325353,
        4.622235497450275,
        4.622253615777121,
        4.622272210902041,
        4.622290329228888,
        4.622308924353809,
        4.622327042680655,
        4.622345161007502,
        4.6223637561324225,
        4.622381874459268,
        4.62240046958419,
        4.622418587911036,
        4.622437183035957,
        4.622455301362804,
        4.622473896487724,
        4.62249201481457,
        4.622510133141416,
        4.622528728266338,
        4.622546846593184,
        4.622565441718105,
        4.622583560044951,
        4.622602155169872,
        4.622620273496718,
        4.622638391823565,
        4.622656986948486,
        4.622675105275332,
        4.622693700400253,
        4.622711818727099,
        4.622729937053945,
        4.622748532178866,
        4.622766650505713,
        4.6227852456306335,
        4.6228033639574795,
        4.622821482284326,
        4.622840077409247,
        4.622858195736093,
        4.62287631406294,
        4.622894909187861,
        4.622913027514707,
        4.622931622639628,
        4.622949740966474,
        4.62296785929332,
        4.622986454418241,
        4.623004572745088,
        4.623022691071934,
        4.623041286196854,
        4.623059404523701,
        4.623077522850547,
        4.623096117975468,
        4.623114236302314,
        4.623132354629161,
        4.6231509497540815,
        4.623169068080927,
        4.623187186407774,
        4.623205781532695,
        4.623223899859541,
        4.623242018186388,
        4.623260136513234,
        4.6232787316381545,
        4.6232968499650005,
        4.623314968291847,
        4.623333563416768,
        4.623351681743614,
        4.623369800070461,
        4.623388395195382,
        4.6234065135222275,
        4.6234246318490735,
        4.62344275017592,
        4.623461345300841,
        4.623479463627687,
        4.623497581954534,
        4.62351570028138,
        4.623534295406301,
        4.6235524137331465,
        4.623570532059993,
        4.623588650386839,
        4.62360724551176,
        4.623625363838607,
        4.623643482165453,
        4.623661600492299,
        4.62368019561722,
        4.623698313944066,
        4.623716432270912,
        4.623734550597758,
        4.62375314572268,
        4.623771264049526,
        4.623789382376372,
        4.623807500703218,
        4.623825619030065,
        4.623844214154985,
        4.623862332481831,
        4.623880450808678,
        4.623898569135524,
        4.62391668746237,
        4.623935282587292,
        4.623953400914138,
        4.623971519240984,
        4.6239896375678295,
        4.624007755894676,
        4.624026351019597,
        4.624044469346443,
        4.624062587673289,
        4.624080706000136,
        4.624098824326982,
        4.624116942653828,
        4.624135537778749,
        4.624153656105595,
        4.624171774432441,
        4.624189892759287,
        4.624208011086134,
        4.62422612941298,
        4.624244247739826,
        4.624262842864748,
        4.624280961191594,
        4.6242990795184395,
        4.6243171978452855,
        4.624335316172132,
        4.624353434498978,
        4.624371552825824,
        4.62438967115267,
        4.624408266277592,
        4.624426384604438,
        4.624444502931284,
        4.624462621258131,
        4.6244807395849765,
        4.6244988579118225,
        4.624516976238668,
        4.624535094565515,
        4.624553212892361,
        4.624571331219207,
        4.624589449546053,
        4.624608044670975,
        4.624626162997821,
        4.624644281324667,
        4.624662399651513,
        4.624680517978359,
        4.624698636305205,
        4.624716754632051,
        4.624734872958898,
        4.624752991285744,
        4.62477110961259,
        4.624789227939436,
        4.624807346266283,
        4.624825464593129,
        4.624843582919975,
        4.624861701246821,
        4.624879819573668,
        4.6248979379005135,
        4.6249160562273595,
        4.624934174554205,
        4.625133952947588,
        4.625152071274435,
        4.625170189601281,
        4.625187831130052,
        4.625205949456898,
        4.625224067783745,
        4.625242186110591,
        4.625260304437437,
        4.625278422764283,
        4.62529654109113,
        4.625314659417976,
        4.625332777744822,
        4.625350896071668,
        4.6253690143985144,
        4.62538713272536,
        4.625405251052206,
        4.625423369379052,
        4.625441487705899,
        4.625459606032745,
        4.625477724359591,
        4.625658430829978,
        4.625676549156824,
        4.62569466748367,
        4.625712785810516,
        4.625730904137363,
        4.625748545666134,
        4.62576666399298,
        4.625784782319826,
        4.625802900646673,
        4.625821018973519,
        4.625839137300365,
        4.625857255627211,
        4.625875373954058,
        4.625893015482829,
        4.625911133809675,
        4.625929252136521,
        4.625947370463368,
        4.6259654887902135,
        4.6259836071170595,
        4.626001725443905,
        4.6260193669726775,
        4.626037485299523,
        4.626055603626369,
        4.626073721953215,
        4.626091840280062,
        4.626109958606908,
        4.626127600135679,
        4.626145718462525,
        4.626163836789372,
        4.626181955116218,
        4.626200073443064,
        4.626217714971835,
        4.626235833298681,
        4.626253951625528,
        4.626272069952374,
        4.62629018827922,
        4.626307829807991,
        4.626325948134838,
        4.626344066461684,
        4.62636218478853,
        4.626380303115376,
        4.626397944644148,
        4.626416062970994,
        4.62643418129784,
        4.6264522996246855,
        4.626469941153457,
        4.6264880594803035,
        4.6265061778071495,
        4.626524296133995,
        4.626542414460842,
        4.626560055989613,
        4.626578174316459,
        4.626596292643305,
        4.6266139341720764,
        4.626632052498923,
        4.626650170825769,
        4.626668289152615,
        4.626685930681386,
        4.626704049008233,
        4.626722167335079,
        4.626740285661925,
        4.626757927190696,
        4.626776045517542,
        4.626794163844389,
        4.62681180537316,
        4.626829923700006,
        4.626848042026852,
        4.626866160353699,
        4.62688380188247,
        4.626901920209316,
        4.626920038536162,
        4.626937680064933,
        4.62695579839178,
        4.626973916718626,
        4.626991558247397,
        4.627009676574243,
        4.62702779490109,
        4.627045436429861,
        4.627063554756707,
        4.627081673083553,
        4.627099314612324,
        4.627117432939171,
        4.627135551266017,
        4.627153192794788,
        4.627171311121634,
        4.627189429448481,
        4.627207070977252,
        4.627225189304098,
        4.627243307630944,
        4.627260949159715,
        4.627279067486562,
        4.627297185813408,
        4.627314827342179,
        4.627332945669025,
        4.627350587197797,
        4.627368705524643,
        4.627386823851489,
        4.62740446538026,
        4.627422583707106,
        4.627440225235878,
        4.627458343562724,
        4.62747646188957,
        4.627494103418341,
        4.627512221745188,
        4.627529863273959,
        4.627547981600805,
        4.627566099927651,
        4.627583741456422,
        4.627601859783269,
        4.62761950131204,
        4.627637619638886,
        4.627655261167657,
        4.627673379494503,
        4.62769149782135,
        4.627709139350121,
        4.627727257676967,
        4.627744899205738,
        4.627763017532585,
        4.627780659061356,
        4.627798777388202,
        4.627816418916973,
        4.627834537243819,
        4.627852655570666,
        4.627870297099437,
        4.627888415426283,
        4.627906056955054,
        4.6279241752819,
        4.627941816810672,
        4.627959935137518,
        4.627977576666289,
        4.627995694993135,
        4.6280133365219065,
        4.628031454848753,
        4.6280490963775245,
        4.62806721470437,
        4.628084856233142,
        4.6281029745599875,
        4.62812061608876,
        4.6281387344156055,
        4.628156375944377,
        4.628174494271223,
        4.628192135799994,
        4.628210254126841,
        4.628227895655612,
        4.628246013982458,
        4.628263655511229,
        4.628281773838076,
        4.628299415366847,
        4.628317056895618,
        4.628335175222464,
        4.628352816751235,
        4.628370935078081,
        4.628388576606853,
        4.628406694933699,
        4.62842433646247,
        4.628442454789316,
        4.628460096318087,
        4.628477737846859,
        4.628495856173705,
        4.628513497702476,
        4.628531616029322,
        4.6285492575580935,
        4.62856737588494,
        4.6285850174137115,
        4.628602658942483,
        4.628620777269329,
        4.6286384187981,
        4.628656537124947,
        4.628674178653718,
        4.628691820182489,
        4.628709938509335,
        4.628727580038106,
        4.628745698364953,
        4.628763339893724,
        4.628780981422495,
        4.628799099749341,
        4.628816741278112,
        4.628834382806883,
        4.62885250113373,
        4.628870142662501,
        4.628888260989347,
        4.6289059025181185,
        4.62892354404689,
        4.6289416623737365,
        4.628959303902508,
        4.628976945431279,
        4.628995063758125,
        4.629012705286896,
        4.629030346815668,
        4.629048465142514,
        4.629066106671285,
        4.629083748200056,
        4.629101866526902,
        4.629119508055673,
        4.629137149584445,
        4.629155267911291,
        4.629172909440062,
        4.629190550968834,
        4.6292086692956795,
        4.629226310824452,
        4.629243952353223,
        4.629262070680069,
        4.62927971220884,
        4.629297353737611,
        4.629314995266382,
        4.629333113593229,
        4.629350755122,
        4.629368396650771,
        4.629386514977617,
        4.629404156506388,
        4.62942179803516,
        4.629439439563932,
        4.6294575578907775,
        4.629475199419549,
        4.62949284094832,
        4.629510482477091,
        4.629528600803938,
        4.629546242332709,
        4.62956388386148,
        4.629582002188326,
        4.629599643717097,
        4.629617285245869,
        4.62963492677464,
        4.6296525683034115,
        4.6296706866302575,
        4.629688328159029,
        4.6297059696878,
        4.629723611216572,
        4.629741729543418,
        4.629759371072189,
        4.62977701260096,
        4.629794654129731,
        4.629812295658502,
        4.629830413985349,
        4.62984805551412,
        4.6298656970428915,
        4.629883338571663,
        4.629900980100434,
        4.62991909842728,
        4.629936739956052,
        4.629954381484823,
        4.629972023013594,
        4.629989664542365,
        4.630007782869211,
        4.630025424397982,
        4.630043065926754,
        4.630060707455526,
        4.630078348984297,
        4.630095990513068,
        4.630114108839914,
        4.630131750368685,
        4.630149391897457,
        4.630167033426228,
        4.630184674954999,
        4.6302023164837705,
        4.630220434810616,
        4.6302380763393876,
        4.63025571786816,
        4.630273359396931,
        4.630291000925702,
        4.630308642454473,
        4.630326283983244,
        4.630343925512015,
        4.630362043838862,
        4.630379685367633,
        4.6303973268964045,
        4.630414968425176,
        4.630432609953947,
        4.630450251482718,
        4.63046789301149,
        4.630485534540261,
        4.630503176069032,
        4.630521294395878,
        4.630538935924649,
        4.6305565774534205,
        4.630574218982193,
        4.630591860510964,
        4.630609502039735,
        4.630627143568506,
        4.630644785097277,
        4.630662426626048,
        4.6306800681548195,
        4.6306977096835915,
        4.630715351212363,
        4.630732992741134,
        4.630750634269905,
        4.630768752596751,
        4.630786394125522,
        4.630804035654294,
        4.630821677183065,
        4.630839318711836,
        4.630856960240608,
        4.630874601769379,
        4.63089224329815,
        4.630909884826921,
        4.630927526355693,
        4.630945167884464,
        4.630962809413235,
        4.6309804509420065,
        4.630998092470778,
        4.631015733999549,
        4.63103337552832,
        4.631051017057092,
        4.631068658585863,
        4.631086300114634,
        4.631103941643405,
        4.631121583172177,
        4.631139224700948,
        4.63115686622972,
        4.631174507758491,
        4.631192149287262,
        4.631209790816033,
        4.631227432344804,
        4.6312450738735755,
        4.631262715402347,
        4.631280356931119,
        4.63129799845989,
        4.631315639988661,
        4.631333281517432,
        4.631350923046203,
        4.6313685645749745,
        4.631386206103746,
        4.631403847632518,
        4.631421012363214,
        4.631438653891985,
        4.631456295420756,
        4.6314739369495275,
        4.631491578478299,
        4.63150922000707,
        4.631526861535842,
        4.631544503064613,
        4.631562144593384,
        4.631579786122155,
        4.631597427650926,
        4.631615069179698,
        4.631632710708469,
        4.631649875439165,
        4.631667516967937,
        4.631685158496708,
        4.631702800025479,
        4.6317204415542506,
        4.631738083083022,
        4.631755724611793,
        4.631773366140564,
        4.631791007669336,
        4.631808649198107,
        4.6318258139288035,
        4.631843455457575,
        4.631861096986346,
        4.631878738515117,
        4.631896380043888,
        4.63191402157266,
        4.631931663101431,
        4.631948827832128,
        4.631966469360899,
        4.63198411088967,
        4.632001752418441,
        4.632019393947212,
        4.6320370354759834,
        4.6320546770047555,
        4.632071841735452,
        4.632089483264223,
        4.632107124792994,
        4.632124766321765,
        4.632142407850536,
        4.632160049379308,
        4.632177214110004,
        4.632194855638776,
        4.632212497167547,
        4.632230138696318,
        4.632247780225089,
        4.632264944955786,
        4.632282586484557,
        4.632300228013328,
        4.6323178695421,
        4.632335511070871,
        4.632352675801568,
        4.632370317330339,
        4.63238795885911,
        4.632405600387881,
        4.632423241916652,
        4.632440406647349,
        4.63245804817612,
        4.632475689704892,
        4.632493331233663,
        4.632510495964359,
        4.63252813749313,
        4.632545779021902,
        4.632563420550673,
        4.632580585281369,
        4.63259822681014,
        4.632615868338912,
        4.632633509867683,
        4.63265067459838,
        4.632668316127151,
        4.632685957655922,
        4.632703599184693,
        4.63272076391539,
        4.632738405444161,
        4.632756046972933,
        4.632773688501704,
        4.6327908532324,
        4.632983479654659,
        4.6330011211834305,
        4.633018285914127,
        4.633035927442898,
        4.63305356897167,
        4.633070733702366,
        4.633088375231138,
        4.633106016759909,
        4.633123181490605,
        4.633140823019376,
        4.633158464548147,
        4.633175629278844,
        4.633193270807615,
        4.633210912336387,
        4.633228077067083,
        4.633245718595854,
        4.633263360124626,
        4.633280524855322,
        4.633298166384093,
        4.633315807912864,
        4.633332972643561,
        4.633350614172332,
        4.633367778903028,
        4.6333854204318,
        4.633403061960571,
        4.633420226691268,
        4.633437868220039,
        4.63345550974881,
        4.633472674479506,
        4.633490316008277,
        4.633507480738974,
        4.633525122267745,
        4.633542763796517,
        4.633559928527213,
        4.6335775700559845,
        4.633594734786681,
        4.633612376315452,
        4.633630017844223,
        4.6336471825749195,
        4.633664824103691,
        4.633681988834387,
        4.633699630363158,
        4.6337167950938545,
        4.6337344366226265,
        4.633752078151398,
        4.633769242882094,
        4.633786884410865,
        4.6338040491415615,
        4.633821690670333,
        4.633838855401029,
        4.6338564969298,
        4.6338736616604965,
        4.633891303189268,
        4.633908467919965,
        4.633926109448736,
        4.633943750977507,
        4.633960915708204,
        4.633978557236975,
        4.633995721967671,
        4.634013363496442,
        4.634030528227139,
        4.63404816975591,
        4.634065334486606,
        4.634082976015378,
        4.6341001407460745,
        4.634117782274846,
        4.634134947005542,
        4.634152588534313,
        4.6341697532650095,
        4.634187394793781,
        4.634204559524477,
        4.634222201053248,
        4.6342393657839445,
        4.634257007312716,
        4.634274172043413,
        4.634291813572184,
        4.63430897830288,
        4.634326143033577,
        4.634343784562348,
        4.634360949293044,
        4.634378590821815,
        4.634395755552512,
        4.634413397081283,
        4.634430561811979,
        4.63444820334075,
        4.634465368071447,
        4.634483009600219,
        4.634500174330915,
        4.6345173390616115,
        4.634534980590383,
        4.634552145321079,
        4.63456978684985,
        4.6345869515805465,
        4.634604593109318,
        4.634621757840014,
        4.63463892257071,
        4.6346565640994815,
        4.634673728830178,
        4.63469137035895,
        4.634708535089646,
        4.6347256998203425,
        4.636232620136062,
        4.637808199374567,
        4.637829178489863,
        4.637849680807084,
        4.6378701831243045,
        4.6378911622396,
        4.637911664556821,
        4.637932166874042,
        4.637952669191262,
        4.6379736483065575,
        4.637994150623778,
        4.638014652940999,
        4.63803515525822,
        4.638056134373516,
        4.638076636690736,
        4.638097139007956,
        4.638117641325177,
        4.638138620440473,
        4.638159122757694,
        4.6381796250749145,
        4.638200127392135,
        4.638221106507431,
        4.638241608824651,
        4.638262111141872,
        4.638282613459093,
        4.638303592574388,
        4.638324094891609,
        4.63834459720883,
        4.63836509952605,
        4.638385601843271,
        4.638406580958566,
        4.638427083275787,
        4.638447585593008,
        4.638468087910229,
        4.638488590227449,
        4.6385095693427445,
        4.638530071659965,
        4.638550573977186,
        4.638571076294407,
        4.638591578611628,
        4.638612080928848,
        4.638633060044143,
        4.638653562361364,
        4.638674064678585,
        4.638694566995806,
        4.638715069313027,
        4.638735571630248,
        4.638756073947468,
        4.638777053062763,
        4.638797555379984,
        4.638818057697205,
        4.638838560014426,
        4.638859062331647,
        4.6388795646488665,
        4.638900066966087,
        4.638920569283308,
        4.638941071600529,
        4.638962050715825,
        4.6389825530330455,
        4.6390030553502655,
        4.639023557667486,
        4.639044059984707,
        4.639064562301928,
        4.639085064619149,
        4.63910556693637,
        4.63912606925359,
        4.6391465715708105,
        4.639167073888031,
        4.639187576205252,
        4.639208078522473,
        4.639229057637769,
        4.6392495599549886,
        4.639270062272209,
        4.63929056458943,
        4.639311066906651,
        4.639331569223872,
        4.639352071541092,
        4.639372573858313,
        4.6393930761755335,
        4.639413578492754,
        4.639434080809975,
        4.639454583127196,
        4.639475085444416,
        4.639495587761637,
        4.639516090078858,
        4.6395365923960785,
        4.639557094713299,
        4.63957759703052,
        4.63959809934774,
        4.639618601664961,
        4.639639103982182,
        4.639659606299403,
        4.6396801086166235,
        4.6397006109338434,
        4.639721113251064,
        4.639741615568285,
        4.639762117885506,
        4.639782620202727,
        4.639803122519948,
        4.639823624837168,
        4.639843650356314,
        4.6398641526735345,
        4.639884654990755,
        4.639905157307976,
        4.639925659625196,
        4.639946161942417,
        4.639966664259638,
        4.639987166576859,
        4.6400076688940795,
        4.640028171211299,
        4.64004867352852,
        4.640069175845741,
        4.640089678162962,
        4.640109703682108,
        4.640130205999328,
        4.640150708316549,
        4.64017121063377,
        4.64019171295099,
        4.640212215268211,
        4.640232717585432,
        4.640253219902652,
        4.640273245421798,
        4.640293747739019,
        4.64031425005624,
        4.640334752373461,
        4.6403552546906806,
        4.640375757007901,
        4.640396259325122,
        4.640416284844268,
        4.640436787161489,
        4.640457289478709,
        4.64047779179593,
        4.640498294113151,
        4.640518796430372,
        4.640538821949518,
        4.640559324266738,
        4.640579826583958,
        4.640600328901179,
        4.6406208312184,
        4.640641333535621,
        4.640661359054766,
        4.640681861371987,
        4.640702363689208,
        4.640722866006429,
        4.640742891525575,
        4.640763393842795,
        4.640783896160015,
        4.640946961101631,
        4.640967463418852,
        4.640987965736072,
        4.6410079912552185,
        4.641028493572439,
        4.641048995889659,
        4.64106949820688,
        4.641089523726026,
        4.641110026043247,
        4.641130528360468,
        4.641151030677688,
        4.641171056196834,
        4.641191558514055,
        4.6412120608312755,
        4.6412320863504215,
        4.6412525886676415,
        4.641273090984862,
        4.641293116504008,
        4.641313618821229,
        4.64133412113845,
        4.641354146657595,
        4.641374648974816,
        4.641395151292037,
        4.641415176811183,
        4.641435679128403,
        4.641456181445624,
        4.64147620696477,
        4.6414967092819905,
        4.641517211599211,
        4.6415372371183565,
        4.641557739435577,
        4.641578241752798,
        4.641598267271944,
        4.641618769589164,
        4.641639271906385,
        4.641659297425531,
        4.641679799742752,
        4.641700302059973,
        4.641720327579118,
        4.641740829896339,
        4.641760855415485,
        4.641781357732706,
        4.6418018600499265,
        4.641821885569072,
        4.641842387886292,
        4.6418624134054385,
        4.641882915722659,
        4.641903418039879,
        4.641923443559025,
        4.641943945876246,
        4.641963971395392,
        4.641984473712612,
        4.642004499231758,
        4.642025001548979,
        4.6420455038662,
        4.642065529385346,
        4.642086031702566,
        4.642106057221712,
        4.642126559538933,
        4.642146585058079,
        4.642167087375299,
        4.642187112894445,
        4.642207615211666,
        4.642227640730812,
        4.642248143048032,
        4.642268168567178,
        4.6422886708843984,
        4.6423086964035445,
        4.642329198720765,
        4.6423492242399105,
        4.642369726557131,
        4.642389752076277,
        4.642410254393498,
        4.642430279912643,
        4.642450782229864,
        4.64247080774901,
        4.642491310066231,
        4.642511335585376,
        4.642531837902597,
        4.642551863421743,
        4.642572365738964,
        4.642592391258109,
        4.64261289357533,
        4.642632919094476,
        4.642653421411697,
        4.642673446930842,
        4.642693949248063,
        4.642713974767209,
        4.642734000286355,
        4.642754502603576,
        4.642774528122721,
        4.642795030439942,
        4.642815055959088,
        4.642835558276309,
        4.642855583795454,
        4.6428756093146,
        4.642896111631821,
        4.642916137150967,
        4.642936639468187,
        4.642956664987333,
        4.642976690506479,
        4.6429971928236995,
        4.643017218342845,
        4.6430377206600655,
        4.6430577461792115,
        4.643077771698358,
        4.6430982740155775,
        4.6431182995347235,
        4.64313832505387,
        4.64315882737109,
        4.643178852890236,
        4.643199355207456,
        4.6432193807266025,
        4.6432394062457485,
        4.643259908562968,
        4.6432799340821145,
        4.6432999596012605,
        4.643320461918481,
        4.6433404874376265,
        4.6433605129567725,
        4.643381015273993,
        4.643401040793139,
        4.643421066312285,
        4.643441568629505,
        4.6434615941486515,
        4.643481619667797,
        4.643502121985017,
        4.6435221475041635,
        4.6435421730233095,
        4.643562198542455,
        4.6435827008596755,
        4.6436027263788215,
        4.643622751897968,
        4.6436432542151875,
        4.643663279734334,
        4.64368330525348,
        4.643703330772626,
        4.643723833089846,
        4.643743858608992,
        4.643763884128138,
        4.643783909647284,
        4.643804411964504,
        4.64382443748365,
        4.643844463002796,
        4.643864488521941,
        4.643884990839162,
        4.643905016358308,
        4.643925041877454,
        4.643945067396599,
        4.64396556971382,
        4.643985595232966,
        4.644005620752112,
        4.644025646271257,
        4.644045671790403,
        4.644066174107624,
        4.64408619962677,
        4.644106225145915,
        4.644126250665061,
        4.644146276184207,
        4.644166778501428,
        4.644186804020573,
        4.644206829539719,
        4.644226855058865,
        4.64424688057801,
        4.644267382895231,
        4.644287408414377,
        4.644307433933523,
        4.6443274594526684,
        4.6443474849718145,
        4.6443675104909605,
        4.644388012808181,
        4.6444080383273265,
        4.6444280638464726,
        4.644448089365619,
        4.644468114884764,
        4.64448814040391,
        4.644508165923056,
        4.644528191442202,
        4.644548693759422,
        4.644568719278568,
        4.644588744797714,
        4.64460877031686,
        4.644628795836005,
        4.644648821355151,
        4.644668846874297,
        4.644688872393442,
        4.644708897912588,
        4.644729400229809,
        4.644749425748955,
        4.6447694512681,
        4.644789476787246,
        4.6448095023063924,
        4.644829527825538,
        4.644849553344684,
        4.64486957886383,
        4.644889604382976,
        4.644909629902121,
        4.644929655421267,
        4.644949680940413,
        4.644969706459558,
        4.644989731978704,
        4.64500975749785,
        4.645030259815071,
        4.645050285334216,
        4.645070310853362,
        4.645090336372508,
        4.645110361891653,
        4.645130387410799,
        4.6451504129299455,
        4.6451704384490915,
        4.645310617083112,
        4.645330642602257,
        4.645350668121403,
        4.645370693640549,
        4.645390719159694,
        4.64541074467884,
        4.6454307701979864,
        4.645450795717132,
        4.645470344438203,
        4.645490369957349,
        4.645510395476495,
        4.64553042099564,
        4.645550446514786,
        4.645570472033932,
        4.645590497553077,
        4.645610523072223,
        4.645630548591369,
        4.6456505741105145,
        4.645670599629661,
        4.645690625148807,
        4.645710650667953,
        4.645730676187098,
        4.645750701706244,
        4.64577072722539,
        4.64579027594646,
        4.645810301465606,
        4.645830326984752,
        4.645850352503897,
        4.6458703780230435,
        4.6458904035421895,
        4.6459104290613356,
        4.645930454580481,
        4.645950480099627,
        4.645970028820698,
        4.645990054339843,
        4.646010079858989,
        4.646030105378135,
        4.64605013089728,
        4.646070156416426,
        4.646090181935572,
        4.646109730656643,
        4.646129756175789,
        4.646149781694935,
        4.646169807214081,
        4.646189832733226,
        4.646209858252372,
        4.646229883771518,
        4.6462494324925885,
        4.6462694580117345,
        4.646289483530881,
        4.646309509050026,
        4.646329534569172,
        4.646349083290243,
        4.646369108809388,
        4.646389134328534,
        4.64640915984768,
        4.646429185366826,
        4.646448734087897,
        4.646468759607043,
        4.646488785126189,
        4.646508810645334,
        4.64652883616448,
        4.646548384885551,
        4.646568410404696,
        4.646588435923842,
        4.646608461442988,
        4.646628010164059,
        4.646648035683205,
        4.646668061202351,
        4.646688086721496,
        4.646707635442567,
        4.646727660961713,
        4.646747686480858,
        4.646767712000004,
        4.646787260721076,
        4.646807286240221,
        4.646827311759367,
        4.646847337278513,
        4.646866885999583,
        4.646886911518729,
        4.646906937037875,
        4.646926485758946,
        4.646946511278092,
        4.646966536797238,
        4.646986562316384,
        4.647006111037454,
        4.6470261365566,
        4.647046162075746,
        4.6470657107968165,
        4.647085736315963,
        4.647105761835109,
        4.647125310556179,
        4.647145336075325,
        4.647165361594471,
        4.647184910315541,
        4.647204935834687,
        4.6472249613538335,
        4.647244510074904,
        4.64726453559405,
        4.647284561113196,
        4.647304109834266,
        4.647324135353412,
        4.6473436840744835,
        4.647363709593629,
        4.647383735112775,
        4.647403283833846,
        4.647423309352991,
        4.647443334872137,
        4.647462883593208,
        4.6474829091123535,
        4.647502457833425,
        4.647522483352571,
        4.647542508871716,
        4.647562057592787,
        4.647582083111933,
        4.647601631833004,
        4.64762165735215,
        4.647641682871296,
        4.647661231592366,
        4.647681257111512,
        4.647700805832583,
        4.647720831351728,
        4.6477408568708745,
        4.647760405591946,
        4.647780431111091,
        4.647799979832162,
        4.647820005351308,
        4.6478395540723785,
        4.6478595795915245,
        4.647879128312595,
        4.647899153831741,
        4.647918702552812,
        4.647938728071957,
        4.647958753591103,
        4.647978302312175,
        4.64799832783132,
        4.648017876552391,
        4.648037902071537,
        4.648057450792607,
        4.648077476311753,
        4.648097025032825,
        4.64811705055197,
        4.648136599273041,
        4.648156624792187,
        4.648176173513257,
        4.648196199032403,
        4.648215747753475,
        4.64823577327262,
        4.648255321993691,
        4.648275347512837,
        4.6482948962339075,
        4.6483149217530535,
        4.648334470474125,
        4.648354019195195,
        4.648374044714341,
        4.6483935934354115,
        4.6484136189545575,
        4.648433167675629,
        4.648453193194774,
        4.648472741915845,
        4.648492767434991,
        4.6485123161560615,
        4.648531864877133,
        4.648551890396279,
        4.648571439117349,
        4.648591464636495,
        4.648611013357566,
        4.648631038876712,
        4.648650587597783,
        4.648670136318853,
        4.648690161837999,
        4.6487097105590705,
        4.648729736078216,
        4.648749284799287,
        4.648768833520358,
        4.648788859039503,
        4.6488084077605745,
        4.648827956481646,
        4.648847982000791,
        4.648867530721862,
        4.648887556241008,
        4.648946679202295,
        4.648966227923366,
        4.648985776644437,
        4.6490058021635825,
        4.649025350884654,
        4.649044899605725,
        4.64906492512487,
        4.649084473845941,
        4.649104022567012,
        4.649124048086158,
        4.649143596807229,
        4.649163145528299,
        4.649183171047445,
        4.649202719768517,
        4.649222268489587,
        4.649242294008733,
        4.649261842729804,
        4.649281391450875,
        4.649301416970021,
        4.649320965691091,
        4.649340514412162,
        4.6493600631332335,
        4.649380088652379,
        4.64939963737345,
        4.649419186094521,
        4.649439211613666,
        4.6494587603347375,
        4.649478309055808,
        4.649497857776879,
        4.649517883296025,
        4.6495374320170955,
        4.649556980738167,
        4.649576529459238,
        4.649596554978383,
        4.649616103699454,
        4.649635652420525,
        4.649655201141596,
        4.649675226660742,
        4.649694775381812,
        4.6497143241028835,
        4.649733872823955,
        4.6497538983431,
        4.649773447064171,
        4.6497929957852415,
        4.649812544506313,
        4.649832093227384,
        4.649852118746529,
        4.6498716674676,
        4.649891216188672,
        4.649910764909742,
        4.649930313630813,
        4.649950339149958,
        4.64996988787103,
        4.649989436592101,
        4.650008985313171,
        4.650028534034242,
        4.650048082755313,
        4.650068108274459,
        4.65008765699553,
        4.6501072057166,
        4.650126754437672,
        4.650146303158743,
        4.650165851879813,
        4.6501854006008845,
        4.65020542612003,
        4.650224974841101,
        4.650244523562172,
        4.6502640722832425,
        4.650283621004314,
        4.650303169725384,
        4.650322718446455,
        4.650342743965601,
        4.650362292686672,
        4.650381841407743,
        4.650401390128814,
        4.6504209388498845,
        4.650440487570956,
        4.650460036292026,
        4.650479585013097,
        4.650499133734169,
        4.650518682455239,
        4.650538707974385,
        4.650558256695455,
        4.6505778054165265,
        4.650597354137598,
        4.650616902858668,
        4.650636451579739,
        4.65065600030081,
        4.650675549021881,
        4.650695097742952,
        4.6507146464640226,
        4.650734195185094,
        4.650753743906164,
        4.650773292627235,
        4.650792841348307,
        4.650812390069377,
        4.650831938790448,
        4.650851487511519,
        4.65087103623259,
        4.650890584953661,
        4.650910133674731,
        4.650929682395803,
        4.650949231116873,
        4.650969256636019,
        4.65098880535709,
        4.651008354078161,
        4.651027902799232,
        4.651047451520302,
        4.651067000241373,
        4.65108607216437,
        4.65110562088544,
        4.6511251696065115,
        4.651144718327582,
        4.651164267048653,
        4.651183815769724,
        4.651203364490795,
        4.651222913211866,
        4.651242461932936,
        4.6512620106540075,
        4.651281559375078,
        4.651301108096149,
        4.65132065681722,
        4.651340205538291,
        4.651359754259362,
        4.651379302980432,
        4.6513988517015035,
        4.651418400422575,
        4.651437949143645,
        4.651457497864716,
        4.651477046585787,
        4.651496118508783,
        4.651515667229854,
        4.651535215950925,
        4.651554764671996,
        4.651574313393066,
        4.6515938621141375,
        4.651613410835209,
        4.651632959556279,
        4.65165250827735,
        4.651672056998421,
        4.651691128921417,
        4.6517106776424875,
        4.651730226363559,
        4.65174977508463,
        4.6517693238057,
        4.6517888725267715,
        4.651808421247842,
        4.651827969968913,
        4.651847041891909,
        4.65186659061298,
        4.651886139334051,
        4.6519056880551215,
        4.651925236776193,
        4.651944785497263,
        4.651964334218334,
        4.651983406141331,
        4.652002954862401,
        4.652022503583472,
        4.652042052304543,
        4.652061601025614,
        4.6520806729486095,
        4.652100221669681,
        4.652119770390752,
        4.652139319111822,
        4.652158867832894,
        4.652178416553964,
        4.65219748847696,
        4.652217037198031,
        4.652236585919102,
        4.652256134640173,
        4.652275206563169,
        4.65229475528424,
        4.65231430400531,
        4.652333852726382,
        4.652353401447453,
        4.652372473370448,
        4.65239202209152,
        4.65241157081259,
        4.652431119533661,
        4.652450191456657,
        4.652469740177728,
        4.652489288898798,
        4.6525088376198696,
        4.652527909542866,
        4.652547458263936,
        4.652567006985008,
        4.652586555706078,
        4.652605627629074,
        4.652625176350145,
        4.652644725071216,
        4.6526637969942115,
        4.652683345715283,
        4.652702894436354,
        4.652722443157424,
        4.652741515080421,
        4.652761063801491,
        4.652780612522562,
        4.652799684445558,
        4.652819233166629,
        4.6528387818877,
        4.652857853810696,
        4.652877402531767,
        4.6528969512528375,
        4.652916499973909,
        4.652935571896904,
        4.652955120617976,
        4.652974669339047,
        4.652993741262042,
        4.653013289983114,
        4.653032361906109,
        4.65305191062718,
        4.653071459348251,
        4.653090531271247,
        4.6531100799923175,
        4.653129628713389,
        4.653148700636385,
        4.6531682493574555,
        4.653187798078527,
        4.653206870001522,
        4.653226418722594,
        4.653245490645589,
        4.65326503936666,
        4.653284588087731,
        4.653303660010727,
        4.653323208731798,
        4.653342280654794,
        4.653361829375865,
        4.6533813780969355,
        4.653400450019932,
        4.653419998741002,
        4.653439070663999,
        4.653458619385069,
        4.65347816810614,
        4.653497240029136,
        4.653516788750207,
        4.653535860673204,
        4.653555409394274,
        4.65357448131727,
        4.653594030038341,
        4.653613578759412,
        4.6536326506824075,
        4.653652199403479,
        4.653671271326474,
        4.6536908200475455,
        4.653709891970541,
        4.653729440691612,
        4.653748512614609,
        4.653768061335679,
        4.6537871332586755,
        4.653806681979746,
        4.653825753902742,
        4.653845302623813,
        4.653864374546809,
        4.6538839232678795,
        4.653902995190876,
        4.653922543911946,
        4.653941615834943,
        4.653961164556014,
        4.6539802364790095,
        4.653999785200081,
        4.654018857123076,
        4.6540384058441475,
        4.654057477767143,
        4.654077026488214,
        4.65409609841121,
        4.654115647132281,
        4.654134719055277,
        4.654154267776348,
        4.654173339699343,
        4.654192888420415,
        4.654211960343411,
        4.6542315090644815,
        4.654250580987478,
        4.6542696529104735,
        4.654289201631545,
        4.65430827355454,
        4.6543278222756115,
        4.654346894198607,
        4.654366442919678,
        4.654385514842674,
        4.65440458676567,
        4.654424135486741,
        4.654443207409737,
        4.654462756130807,
        4.654481828053804,
        4.654500899976799,
        4.654520448697871,
        4.654539520620867,
        4.654559069341937,
        4.654578141264934,
        4.654597213187929,
        4.654616761909001,
        4.654635833831996,
        4.654655382553067,
        4.654674454476063,
        4.654693526399059,
        4.65471307512013,
        4.654732147043126,
        4.654751218966122,
        4.654770767687193,
        4.6547898396101886,
        4.654808911533185,
        4.654828460254255,
        4.654847532177252,
        4.654866604100247,
        4.654886152821319,
        4.654905224744315,
        4.654924296667311,
        4.654943845388382,
        4.654962917311377,
        4.654981989234374,
        4.655001537955444,
        4.655020609878441,
        4.655039681801436,
        4.655059230522507,
        4.655078302445503,
        4.655097374368499,
        4.65511692308957,
        4.655135995012566,
        4.655155066935562,
        4.655174138858558,
        4.6551936875796285,
        4.655212759502625,
        4.6552318314256205,
        4.655251380146692,
        4.655270452069687,
        4.655289523992684,
        4.655308595915679,
        4.6553281446367505,
        4.655347216559746,
        4.6553662884827425,
        4.655385360405738,
        4.655404909126809,
        4.655423981049806,
        4.655443052972801,
        4.655462124895797,
        4.655481673616868,
        4.6555007455398645,
        4.65551981746286,
        4.6555388893858565,
        4.655558438106927,
        4.655577510029923,
        4.655596581952919,
        4.655615653875915,
        4.655634725798911,
        4.655654274519982,
        4.655673346442978,
        4.655692418365974,
        4.65571149028897,
        4.655730562211966,
        4.655750110933036,
        4.655769182856033,
        4.655788254779028,
        4.655807326702025,
        4.65582639862502,
        4.655845470548017,
        4.655865019269087,
        4.655884091192084,
        4.655903163115079,
        4.655922235038076,
        4.655941306961071,
        4.6559603788840676,
        4.655979927605138,
        4.655998999528134,
        4.65601807145113,
        4.656037143374126,
        4.656056215297122,
        4.656075287220118,
        4.656094359143114,
        4.65611343106611,
        4.656132979787181,
        4.656152051710177,
        4.656171123633173,
        4.656190195556169,
        4.656209267479165,
        4.656228339402161,
        4.656247411325157,
        4.656266483248153,
        4.656285555171149,
        4.65630510389222,
        4.656324175815215,
        4.656343247738212,
        4.656362319661207,
        4.656381391584204,
        4.656400463507199,
        4.656419535430196,
        4.656438607353191,
        4.656457679276188,
        4.656476751199183,
        4.65649582312218,
        4.656514895045175,
        4.656533966968171,
        4.656553038891167,
        4.656572587612239,
        4.656591659535234,
        4.656610731458231,
        4.656629803381226,
        4.656648875304223,
        4.656667947227218,
        4.656687019150214,
        4.65670609107321,
        4.656725162996206,
        4.656744234919202,
        4.656763306842198,
        4.656782378765194,
        4.65680145068819,
        4.656820522611186,
        4.656839594534182,
        4.656858666457178,
        4.656877738380174,
        4.65689681030317,
        4.656915882226166,
        4.656934954149162,
        4.656954026072158,
        4.656973097995154,
        4.65699216991815,
        4.657011241841146,
        4.657030313764142,
        4.657049385687138,
        4.6570684576101335,
        4.65708752953313,
        4.6571066014561255,
        4.657125196581047,
        4.657144268504043,
        4.657163340427038,
        4.657182412350035,
        4.65720148427303,
        4.657220556196027,
        4.657239628119022,
        4.657258700042019,
        4.657277771965014,
        4.657296843888011,
        4.657315915811006,
        4.657334987734003,
        4.657354059656998,
        4.657373131579995,
        4.657391726704915,
        4.657410798627912,
        4.657429870550907,
        4.657448942473904,
        4.657468014396899,
        4.657487086319896,
        4.657506158242891,
        4.657525230165888,
        4.657544302088883,
        4.657562897213804,
        4.657581969136801,
        4.657601041059796,
        4.6576201129827925,
        4.657639184905788,
        4.6576582568287845,
        4.65767732875178,
        4.6576964006747765,
        4.657714995799697,
        4.657734067722694,
        4.657753139645689,
        4.657772211568686,
        4.657791283491681,
        4.657810355414678,
        4.6578289505395984,
        4.657848022462594,
        4.65786709438559,
        4.657886166308586,
        4.657905238231582,
        4.657924310154578,
        4.6579429052795,
        4.657961977202495,
        4.657981049125492,
        4.658000121048487,
        4.658019192971484,
        4.658037788096404,
        4.658056860019401,
        4.658075931942396,
        4.658095003865393,
        4.658114075788388,
        4.658132670913309,
        4.6581517428363055,
        4.658170814759301,
        4.6581898866822975,
        4.658208481807218,
        4.658227553730215,
        4.65824662565321,
        4.658265697576207,
        4.658284292701127,
        4.658303364624124,
        4.658322436547119,
        4.658341508470116,
        4.658360103595037,
        4.658379175518032,
        4.658398247441029,
        4.658417319364024,
        4.658435914488946,
        4.658454986411941,
        4.658474058334938,
        4.658493130257933,
        4.658511725382855,
        4.6585307973058505,
        4.658549869228846,
        4.658568464353768,
        4.658587536276763,
        4.65860660819976,
        4.65862520332468,
        4.658644275247677,
        4.658663347170672,
        4.658682419093669,
        4.65870101421859,
        4.658720086141586,
        4.658739158064582,
        4.658757753189502,
        4.658776825112499,
        4.658795897035494,
        4.658814492160416,
        4.6588335640834115,
        4.658852636006408,
        4.658871231131329,
        4.658890303054325,
        4.658909374977321,
        4.6589279701022415,
        4.658947042025238,
        4.658965637150159,
        4.658984709073155,
        4.659003780996151,
        4.659022376121072,
        4.659041448044068,
        4.659060519967064,
        4.659079115091985,
        4.659098187014981,
        4.659116782139902,
        4.659135854062898,
        4.659154925985894,
        4.659173521110815,
        4.659192593033811,
        4.659211664956807,
        4.659230260081728,
        4.659249332004724,
        4.659267927129645,
        4.659286999052641,
        4.659305594177562,
        4.6593246661005585,
        4.659343738023554,
        4.659362333148476,
        4.659381405071471,
        4.659400000196392,
        4.659419072119388,
        4.659437667244309,
        4.659456739167306,
        4.659475811090301,
        4.659494406215223,
        4.659513478138218,
        4.659532073263139,
        4.659551145186136,
        4.659569740311056,
        4.659588812234053,
        4.6596074073589735,
        4.65962647928197,
        4.659645074406891,
        4.659664146329886,
        4.659682741454808,
        4.659701813377803,
        4.659720408502725,
        4.659739480425721,
        4.659758075550642,
        4.659777147473638,
        4.6597957425985586,
        4.659814814521555,
        4.659833409646476,
        4.659852481569472,
        4.659871076694393,
        4.659890148617389,
        4.65990874374231,
        4.659927815665306,
        4.659946410790227,
        4.659965482713223,
        4.6599840778381445,
        4.66000314976114,
        4.660021744886062,
        4.660040816809057,
        4.660059411933978,
        4.660078483856974,
        4.660097078981895,
        4.660115674106817,
        4.660134746029812,
        4.660153341154734,
        4.66017241307773,
        4.66019100820265,
        4.660210080125647,
        4.6602286752505675,
        4.660247270375489,
        4.660266342298485,
        4.660284937423405,
        4.660304009346402,
        4.660322604471323,
        4.660341199596244,
        4.66036027151924,
        4.6603788666441615,
        4.660397938567157,
        4.660416533692078,
        4.660435128816999,
        4.660454200739995,
        4.660472795864917,
        4.660491867787912,
        4.660510462912833,
        4.660679249431348,
        4.660698321354344,
        4.660716916479265,
        4.6607355116041855,
        4.660754583527182,
        4.660773178652103,
        4.660791773777024,
        4.66081084570002,
        4.660829440824941,
        4.660848035949862,
        4.660867107872858,
        4.6608857029977795,
        4.6609042981227,
        4.660922893247621,
        4.660941965170617,
        4.660960560295538,
        4.66097915542046,
        4.660998227343455,
        4.661016822468377,
        4.661035417593298,
        4.661054489516293,
        4.661073084641215,
        4.661091679766136,
        4.661110274891057,
        4.661129346814053,
        4.661147941938974,
        4.661166537063895,
        4.661185132188816,
        4.6612042041118125,
        4.661222799236733,
        4.661241394361654,
        4.661259989486576,
        4.661279061409571,
        4.661297656534493,
        4.6613162516594135,
        4.661334846784334,
        4.661353918707331,
        4.6613725138322515,
        4.661391108957173,
        4.661409704082094,
        4.661428776005089,
        4.661447371130011,
        4.661465966254932,
        4.6614845613798535,
        4.661503156504774,
        4.66152222842777,
        4.661540823552691,
        4.661559418677612,
        4.661578013802534,
        4.6615966089274545,
        4.66161568085045,
        4.661634275975372,
        4.6616528711002925,
        4.661671466225213,
        4.661690061350135,
        4.66170913327313,
        4.661727728398052,
        4.661746323522973,
        4.6617649186478936,
        4.661783513772815,
        4.661802108897736,
        4.661820704022658,
        4.661839775945653,
        4.661858371070574,
        4.6618769661954955,
        4.661895561320416,
        4.661914156445338,
        4.661932751570259,
        4.661951346695179,
        4.661970418618176,
        4.661989013743097,
        4.662007608868018,
        4.662026203992939,
        4.66204479911786,
        4.662063394242781,
        4.662081989367702,
        4.662100584492623,
        4.662119656415619,
        4.66213825154054,
        4.662156846665462,
        4.6621754417903825,
        4.662194036915303,
        4.662212632040225,
        4.662231227165146,
        4.662249822290066,
        4.662268417414988,
        4.662287012539909,
        4.66230560766483,
        4.662324202789751,
        4.662343274712747,
        4.662361869837668,
        4.662380464962589,
        4.662399060087511,
        4.6624176552124315,
        4.662436250337352,
        4.662454845462274,
        4.662473440587195,
        4.662492035712115,
        4.662510630837037,
        4.662529225961958,
        4.662547821086879,
        4.6625664162118,
        4.662585011336721,
        4.6626036064616425,
        4.662622201586563,
        4.662640796711484,
        4.662659391836406,
        4.662677986961326,
        4.662696582086248,
        4.662715177211169,
        4.6627337723360895,
        4.662752367461011,
        4.662770962585932,
        4.662789557710853,
        4.662808152835774,
        4.662826747960695,
        4.662845343085616,
        4.6628639382105375,
        4.662882533335458,
        4.66290112846038,
        4.662919723585301,
        4.662938318710221,
        4.662956913835143,
        4.662975508960064,
        4.6629941040849845,
        4.663012699209906,
        4.663031294334827,
        4.6630498894597485,
        4.663068484584669,
        4.66308707970959,
        4.663105674834512,
        4.663124269959432,
        4.663142388286278,
        4.6631609834112,
        4.663179578536121,
        4.6631981736610415,
        4.663216768785963,
        4.663235363910884,
        4.6632539590358055,
        4.663272554160726,
        4.663291149285647,
        4.663309744410569,
        4.663328339535489,
        4.663346457862335,
        4.663365052987257,
        4.663383648112178,
        4.6634022432370985,
        4.66342083836202,
        4.663439433486941,
        4.6634580286118625,
        4.663476623736783,
        4.663495218861704,
        4.663513337188551,
        4.663531932313472,
        4.663550527438392,
        4.663569122563314,
        4.663587717688235,
        4.6636063128131555,
        4.663624907938077,
        4.663643026264923,
        4.663661621389844,
        4.6636802165147655,
        4.663698811639686,
        4.663717406764608,
        4.663736001889529,
        4.663754120216375,
        4.663772715341296,
        4.663791310466217,
        4.663809905591138,
        4.663828500716059,
        4.66384709584098,
        4.663865214167826,
        4.663883809292748,
        4.6639024044176685,
        4.663920999542589,
        4.663939594667511,
        4.663957712994357,
        4.6639763081192775,
        4.663994903244199,
        4.66401349836912,
        4.664031616695966,
        4.6640502118208875,
        4.664068806945808,
        4.66408740207073,
        4.664105997195651,
        4.664124115522497,
        4.664142710647418,
        4.664161305772339,
        4.66417990089726,
        4.664198019224107,
        4.664216614349027,
        4.664235209473948,
        4.66425380459887,
        4.664271922925716,
        4.664290518050636,
        4.664309113175558,
        4.664327708300479,
        4.664345826627325,
        4.664364421752246,
        4.664383016877167,
        4.664401135204013,
        4.664419730328935,
        4.6644383254538555,
        4.664456920578776,
        4.664475038905623,
        4.664493634030544,
        4.664512229155465,
        4.664530347482311,
        4.664548942607232,
        4.664567537732153,
        4.664586132857075,
        4.6646042511839205,
        4.664622846308841,
        4.664641441433763,
        4.664659559760609,
        4.66467815488553,
        4.664696750010451,
        4.664714868337297,
        4.664733463462218,
        4.66475205858714,
        4.6647701769139855,
        4.664788772038906,
        4.664807367163828,
        4.664825485490674,
        4.664844080615595,
        4.6648621989424415,
        4.664880794067362,
        4.664899389192283,
        4.66491750751913,
        4.664936102644051,
        4.664954697768971,
        4.664972816095818,
        4.664991411220739,
        4.665009529547585,
        4.6650281246725065,
        4.665046719797427,
        4.665064838124273,
        4.665083433249195,
        4.665102028374116,
        4.6651201467009615,
        4.665138741825883,
        4.665156860152729,
        4.66517545527765,
        4.6651940504025715,
        4.6652121687294175,
        4.665230763854338,
        4.665248882181185,
        4.665267477306106,
        4.665285595632952,
        4.665304190757873,
        4.665322785882794,
        4.66534090420964,
        4.665359499334562,
        4.665377617661408,
        4.665396212786328,
        4.665414331113175,
        4.665432926238096,
        4.665451044564942,
        4.665469639689864,
        4.66548775801671,
        4.66550635314163,
        4.665524948266552,
        4.665543066593398,
        4.665561661718319,
        4.665579780045165,
        4.665598375170086,
        4.665616493496932,
        4.665635088621853,
        4.6656532069487,
        4.6656718020736205,
        4.6656899204004665,
        4.665708515525388,
        4.665726633852234,
        4.665745228977155,
        4.665763347304002,
        4.665781942428922,
        4.665800060755768,
        4.66581865588069,
        4.665836774207536,
        4.665855369332457,
        4.6658734876593035,
        4.665892082784224,
        4.66591020111107,
        4.665928319437916,
        4.665946914562838,
        4.665965032889684,
        4.6659836280146045,
        4.666001746341451,
        4.666020341466372,
        4.666038459793218,
        4.66605705491814,
        4.666075173244986,
        4.666093291571832,
        4.666111886696753,
        4.666130005023599,
        4.66614860014852,
        4.666166718475366,
        4.6661853136002875,
        4.6662034319271335,
        4.6662215502539794,
        4.666240145378901,
        4.666258263705747,
        4.666276858830668,
        4.666294977157515,
        4.666313095484361,
        4.666331690609281,
        4.666349808936128,
        4.666368404061049,
        4.666386522387895,
        4.666404640714741,
        4.6664232358396625,
        4.666441354166508,
        4.666459949291429,
        4.666478067618276,
        4.666496185945122,
        4.666514781070043,
        4.6665328993968895,
        4.6665510177237355,
        4.666569612848656,
        4.666587731175502,
        4.666605849502349,
        4.66662444462727,
        4.666642562954116,
        4.666660681280963,
        4.666679276405883,
        4.666697394732729,
        4.666715513059575,
        4.666734108184497,
        4.666752226511343,
        4.666770344838189,
        4.66678893996311,
        4.666807058289956,
        4.666825176616802,
        4.666843771741724,
        4.66686189006857,
        4.666880008395416,
        4.6668986035203375,
        4.666916721847183,
        4.666934840174029,
        4.66695343529895,
        4.666971553625797,
        4.666989671952643,
        4.667007790279489,
        4.6670263854044105,
        4.6670445037312565,
        4.667062622058102,
        4.667080740384948,
        4.66709933550987,
        4.667117453836716,
        4.667135572163562,
        4.6671541672884835,
        4.6671722856153295,
        4.667190403942175,
        4.667208522269021,
        4.667227117393943,
        4.667245235720789,
        4.667263354047635,
        4.667281472374482,
        4.667299590701328,
        4.6673181858262485,
        4.667336304153094,
        4.667354422479941,
        4.667372540806787,
        4.667391135931708,
        4.667409254258555,
        4.667427372585401,
        4.667445490912247,
        4.667463609239093,
        4.667482204364014,
        4.66750032269086,
        4.667518441017706,
        4.667536559344553,
        4.667554677671399,
        4.66757327279632,
        4.667591391123166,
        4.6676095094500125,
        4.6676276277768585,
        4.667645746103704,
        4.667664341228626,
        4.667682459555472,
        4.667700577882318,
        4.667718696209164,
        4.667736814536011,
        4.667754932862857,
        4.6677735279877774,
        4.667791646314624,
        4.66780976464147,
        4.667827882968316,
        4.667846001295162,
        4.667864119622009,
        4.667882237948855,
        4.667900833073776,
        4.667918951400622,
        4.6679370697274685,
        4.667955188054314,
        4.66797330638116,
        4.667991424708007,
        4.668009543034853,
        4.668027661361699,
        4.668045779688545,
        4.668064374813467,
        4.668082493140313,
        4.668100611467159,
        4.6681187297940046,
        4.668136848120851,
        4.668154966447697,
        4.668173084774543,
        4.668191203101389,
        4.668209321428236,
        4.668227439755082,
        4.668245558081928,
        4.66826415320685,
        4.668282271533696,
        4.6683003898605415,
        4.6683185081873875,
        4.668336626514234,
        4.66835474484108,
        4.668372863167926,
        4.668390981494772,
        4.668409099821619,
        4.668427218148465,
        4.668445336475311,
        4.668463454802157,
        4.668481573129004,
        4.66849969145585,
        4.668517809782696,
        4.668535928109542,
        4.668554046436388,
        4.668572164763234,
        4.66859028309008,
        4.668608401416927,
        4.668626519743773,
        4.668644638070619,
        4.668662756397465,
        4.668680874724312,
        4.668698993051158,
        4.668717111378004,
        4.66873522970485,
        4.6687533480316965,
        4.6687714663585425,
        4.668789584685388,
        4.668807703012234,
        4.668825821339081,
        4.668843939665927,
        4.668862057992773,
        4.668880176319619,
        4.668898294646466,
        4.668916412973312,
        4.668934531300158,
        4.668952649627005,
        4.668970767953851,
        4.6689888862806965,
        4.6690070046075425,
        4.669025122934389,
        4.669043241261235,
        4.669061359588081,
        4.669079477914927,
        4.669097596241774,
        4.66911571456862,
        4.669133832895466,
        4.669151474424237,
        4.669169592751084,
        4.66918771107793,
        4.669205829404776,
        4.669223947731622,
        4.669242066058469,
        4.6692601843853145,
        4.6692783027121605,
        4.669296421039006,
        4.669314539365853,
        4.669332657692699,
        4.66935029922147,
        4.669368417548316,
        4.669386535875163,
        4.669404654202009,
        4.669422772528855,
        4.669440890855701,
        4.669459009182548,
        4.669477127509394,
        4.66949524583624,
        4.669512887365011,
        4.669531005691858,
        4.669549124018704,
        4.66956724234555,
        4.669585360672396,
        4.669603478999242,
        4.669621597326088,
        4.6696392388548595,
        4.6696573571817055,
        4.669675475508551,
        4.669693593835398,
        4.669711712162244,
        4.66972983048909,
        4.669747472017861,
        4.669765590344708,
        4.669783708671554,
        4.6698018269984,
        4.669819945325246,
        4.669837586854018,
        4.669855705180864,
        4.66987382350771,
        4.669891941834556,
        4.669910060161403,
        4.669927701690174,
        4.66994582001702,
        4.669963938343866,
        4.669982056670713,
        4.670000174997559,
        4.67001781652633,
        4.670035934853176,
        4.670054053180022,
        4.6700721715068685,
        4.670090289833714,
        4.670107931362486,
        4.6701260496893315,
        4.670144168016178,
        4.670162286343024,
        4.6701799278717955,
        4.670198046198641,
        4.670216164525488,
        4.670234282852334,
        4.670251924381105,
        4.670270042707951,
        4.670288161034798,
        4.670306279361644,
        4.670323920890415,
        4.670342039217261,
        4.670360157544107,
        4.670377799072879,
        4.670395917399725,
        4.670414035726571,
        4.670432154053417,
        4.670449795582189,
        4.670467913909035,
        4.670486032235881,
        4.670503673764652,
        4.670521792091498,
        4.670539910418345,
        4.670557551947116,
        4.670575670273962,
        4.670593788600808,
        4.670611906927655,
        4.670629548456426,
        4.670647666783272,
        4.670665785110118,
        4.670683426638889,
        4.670701544965736,
        4.670719663292582,
        4.670737304821353,
        4.670755423148199,
        4.670773541475046,
        4.670791183003817,
        4.670809301330663,
        4.670827419657509,
        4.67084506118628,
        4.670863179513127,
        4.670880821041898,
        4.670898939368744,
        4.67091705769559,
        4.670934699224362,
        4.670952817551208,
        4.670970935878054,
        4.670988577406825,
        4.671006695733671,
        4.671024337262443,
        4.671042455589289,
        4.671060573916135,
        4.671078215444906,
        4.671096333771753,
        4.671113975300524,
        4.67113209362737,
        4.671150211954216,
        4.671167853482987,
        4.671185971809834,
        4.671203613338605,
        4.671221731665451,
        4.671239849992297,
        4.671257491521068,
        4.671275609847915,
        4.671293251376686,
        4.671311369703532,
        4.671329011232303,
        4.67134712955915,
        4.671365247885996,
        4.671382889414767,
        4.671401007741613,
        4.671418649270384,
        4.671436767597231,
        4.671454409126002,
        4.671472527452848,
        4.671490168981619,
        4.671508287308465,
        4.671525928837237,
        4.671544047164083,
        4.671562165490929,
        4.6715798070197,
        4.671597925346547,
        4.671615566875318,
        4.671633685202164,
        4.671651326730935,
        4.671669445057781,
        4.6716870865865525,
        4.671705204913399,
        4.6717228464421705,
        4.6717409647690165,
        4.671758606297788,
        4.6717767246246344,
        4.671794366153406,
        4.6718124844802515,
        4.671830126009023,
        4.671848244335869,
        4.671865885864641,
        4.671884004191487,
        4.671901645720258,
        4.671919287249029,
        4.671937405575875,
        4.671955047104646,
        4.671973165431493,
        4.671990806960264,
        4.67200892528711,
        4.672026566815881,
        4.672044685142728,
        4.672062326671499,
        4.672080444998345,
        4.672098086527116,
        4.672115728055887,
        4.672133846382734,
        4.672151487911505,
        4.672169606238351,
        4.6721872477671225,
        4.672205366093968,
        4.67222300762274,
        4.672240649151512,
        4.6722587674783576,
        4.672276409007129,
        4.672294527333975,
        4.672312168862746,
        4.672329810391518,
        4.672347928718364,
        4.672365570247135,
        4.672383688573981,
        4.672401330102752,
        4.672418971631524,
        4.67243708995837,
        4.672454731487141,
        4.672472849813987,
        4.672490491342758,
        4.67250813287153,
        4.672526251198376,
        4.672543892727147,
        4.672561534255919,
        4.6725796525827645,
        4.672597294111536,
        4.672614935640308,
        4.672633053967154,
        4.672650695495925,
        4.672668337024696,
        4.672686455351542,
        4.672704096880314,
        4.672721738409085,
        4.672739856735931,
        4.672757498264702,
        4.672775139793473,
        4.67279325812032,
        4.672810899649091,
        4.6728285411778625,
        4.6728466595047085,
        4.67286430103348,
        4.672881942562251,
        4.672900060889098,
        4.672917702417869,
        4.67293534394664,
        4.672953462273486,
        4.672971103802257,
        4.672988745331029,
        4.6730063868598,
        4.673024505186646,
        4.673042146715417,
        4.673059788244188,
        4.673077906571034,
        4.673095548099806,
        4.673113189628578,
        4.673130831157349,
        4.673148949484195,
        4.673166591012966,
        4.673184232541737,
        4.673201874070509,
        4.673219992397355,
        4.673237633926126,
        4.673255275454897,
        4.673272916983668,
        4.673291035310515,
        4.673308676839286,
        4.673326318368058,
        4.673343959896829,
        4.673362078223675,
        4.673379719752446,
        4.673397361281218,
        4.673415002809989,
        4.673433121136835,
        4.673450762665606,
        4.673468404194377,
        4.673486045723148,
        4.6735036872519204,
        4.673521805578766,
        4.6735394471075375,
        4.673557088636309,
        4.67357473016508,
        4.673592371693851,
        4.673610490020698,
        4.673823141962103,
        4.673840783490874,
        4.673858425019645,
        4.6738760665484165,
        4.673893708077188,
        4.674088718489822,
        4.674106360018593,
        4.674124001547364,
        4.674141643076136,
        4.674159284604907,
        4.674176926133678,
        4.6741945676624495,
        4.674212209191221,
        4.674229850719992,
        4.674247492248764,
        4.67426561057561,
        4.674283252104381,
        4.674300893633152,
        4.674318535161923,
        4.674336176690694,
        4.674353818219466,
        4.6743714597482375,
        4.674389101277009,
        4.67440674280578,
        4.674424384334551,
        4.674442025863322,
        4.674459667392093,
        4.674477308920865,
        4.6744949504496365,
        4.674512591978408,
        4.674530233507179,
        4.67454787503595,
        4.674565993362796,
        4.674583634891568,
        4.674601276420339,
        4.67461891794911,
        4.674636559477881,
        4.6746542010066525,
        4.674671842535424,
        4.674689484064195,
        4.674707125592967,
        4.674724767121738,
        4.674742408650509,
        4.67476005017928,
        4.6747776917080515,
        4.674795333236823,
        4.674812974765594,
        4.674830616294366,
        4.674848257823137,
        4.674865899351908,
        4.674883540880679,
        4.67490118240945,
        4.674918823938222,
        4.674936465466994,
        4.674954106995765,
        4.674971271726461,
        4.674988913255232,
        4.675006554784003,
        4.6750241963127745,
        4.675041837841546,
        4.675059479370317,
        4.675077120899089,
        4.67509476242786,
        4.675112403956631,
        4.675130045485402,
        4.6751476870141735,
        4.675165328542945,
        4.675182970071716,
        4.675200611600488,
        4.675218253129259,
        4.67523589465803,
        4.675253536186801,
        4.675270700917498,
        4.675288342446269,
        4.67530598397504,
        4.675323625503812,
        4.675341267032583,
        4.675358908561354,
        4.675376550090125,
        4.675394191618897,
        4.675411833147668,
        4.675429474676439,
        4.675447116205211,
        4.675464280935907,
        4.675481922464678,
        4.67549956399345,
        4.675517205522221,
        4.675534847050992,
        4.675552488579763,
        4.675570130108534,
        4.675587771637306,
        4.675604936368003,
        4.675622577896774,
        4.675640219425545,
        4.675657860954316,
        4.675675502483087,
        4.675693144011858,
        4.67571078554063,
        4.675727950271327,
        4.675745591800098,
        4.675763233328869,
        4.67578087485764,
        4.675798516386411,
        4.6758161579151825,
        4.675833322645879,
        4.675850964174651,
        4.675868605703422,
        4.675886247232193,
        4.675903888760964,
        4.675921053491661,
        4.675938695020432,
        4.675956336549203,
        4.675973978077974,
        4.675991619606746,
        4.6760087843374425,
        4.676026425866214,
        4.676044067394985,
        4.676061708923756,
        4.676079350452527,
        4.6760965151832234,
        4.676114156711995,
        4.676131798240767,
        4.676149439769538,
        4.676167081298309,
        4.676184246029005,
        4.676201887557776,
        4.676219529086548,
        4.676237170615319,
        4.676254335346015,
        4.676271976874787,
        4.676289618403558,
        4.676307259932329,
        4.676324424663026,
        4.678011574651058,
        4.6798036202155675,
        4.679824122532788,
        4.679845101648084,
        4.67986608076338,
        4.6798865830806,
        4.679907562195895,
        4.679928541311191,
        4.679949043628412,
        4.679970022743707,
        4.679991001859003,
        4.680011504176224,
        4.680032483291519,
        4.680053462406815,
        4.680073964724035,
        4.680094943839331,
        4.680115922954626,
        4.680136425271847,
        4.680157404387143,
        4.680178383502438,
        4.680198885819659,
        4.680219864934955,
        4.6802408440502505,
        4.680261346367471,
        4.680282325482766,
        4.680302827799987,
        4.680323806915283,
        4.680344786030578,
        4.680365288347799,
        4.680386267463095,
        4.680406769780316,
        4.680427748895611,
        4.680448728010907,
        4.680469230328127,
        4.680490209443422,
        4.680510711760643,
        4.680531690875939,
        4.6805526699912345,
        4.680573172308455,
        4.680594151423751,
        4.680614653740972,
        4.6806356328562675,
        4.680656135173487,
        4.680677114288783,
        4.680697616606004,
        4.6807185957213,
        4.680739574836595,
        4.680760077153816,
        4.680781056269112,
        4.6808015585863325,
        4.680822537701628,
        4.6811334100464626,
        4.681154389161758,
        4.681174891478978,
        4.681195870594274,
        4.681216372911495,
        4.6812368752287155,
        4.681257854344011,
        4.681278356661232,
        4.681299335776528,
        4.6813198380937475,
        4.681340817209043,
        4.681361319526264,
        4.68138229864156,
        4.6814028009587805,
        4.681423303276001,
        4.681444282391297,
        4.681464784708518,
        4.6814857638238125,
        4.681506266141033,
        4.681526768458254,
        4.68154774757355,
        4.681568249890771,
        4.681589229006066,
        4.681609731323287,
        4.681630233640507,
        4.681651212755803,
        4.681671715073024,
        4.681692694188319,
        4.68171319650554,
        4.681733698822761,
        4.6817546779380566,
        4.681775180255277,
        4.681795682572497,
        4.681816661687793,
        4.681837164005014,
        4.681857666322235,
        4.68187864543753,
        4.681899147754751,
        4.681919650071971,
        4.681940629187267,
        4.681961131504488,
        4.681981633821708,
        4.682002612937004,
        4.682023115254225,
        4.682043617571446,
        4.682064596686741,
        4.682085099003961,
        4.682105601321182,
        4.682126580436478,
        4.682147082753699,
        4.6821675850709195,
        4.68218808738814,
        4.682209066503436,
        4.682291552570393,
        4.682312054887614,
        4.682332557204835,
        4.68235353632013,
        4.6823740386373505,
        4.682394540954571,
        4.682415043271792,
        4.682436022387088,
        4.682456524704309,
        4.6824770270215295,
        4.682497529338749,
        4.682518508454045,
        4.682539010771266,
        4.682559513088487,
        4.682580015405708,
        4.682600517722928,
        4.682621496838223,
        4.682641999155444,
        4.682662501472665,
        4.682683003789886,
        4.6827035061071065,
        4.682724485222402,
        4.682744987539623,
        4.682765489856843,
        4.682785992174064,
        4.682806494491285,
        4.68282747360658,
        4.682847975923801,
        4.682868478241022,
        4.682888980558242,
        4.682909482875463,
        4.6829299851926836,
        4.682950487509904,
        4.6829714666252,
        4.682991968942421,
        4.683012471259641,
        4.683032973576862,
        4.6830534758940825,
        4.683073978211303,
        4.683094480528524,
        4.68311545964382,
        4.68313596196104,
        4.683156464278261,
        4.683176966595481,
        4.683197468912702,
        4.683217971229923,
        4.683238473547144,
        4.683258975864364,
        4.683279478181585,
        4.68330045729688,
        4.683320959614101,
        4.683341461931322,
        4.683361964248543,
        4.683382466565763,
        4.683402968882984,
        4.6834234712002045,
        4.683443973517425,
        4.683464475834646,
        4.683484978151867,
        4.683505480469087,
        4.683525982786308,
        4.683546485103529,
        4.6835669874207495,
        4.68358748973797,
        4.683608468853266,
        4.683628971170486,
        4.683649473487707,
        4.683669975804928,
        4.6836904781221484,
        4.683710980439369,
        4.683731482756589,
        4.68375198507381,
        4.683772487391031,
        4.683792989708252,
        4.683813492025473,
        4.683833994342693,
        4.683854496659913,
        4.683874998977134,
        4.683895501294355,
        4.683916003611576,
        4.683936505928797,
        4.683957008246018,
        4.6839775105632375,
        4.683998012880458,
        4.684018515197679,
        4.6840390175149,
        4.684059043034046,
        4.684079545351266,
        4.684100047668487,
        4.684120549985708,
        4.6841410523029285,
        4.684161554620149,
        4.684182056937369,
        4.68420255925459,
        4.684223061571811,
        4.684243563889032,
        4.684264066206253,
        4.6842845685234735,
        4.6843050708406935,
        4.684325573157914,
        4.684346075475135,
        4.684366100994281,
        4.684386603311502,
        4.684407105628722,
        4.684427607945943,
        4.684448110263164,
        4.6844686125803845,
        4.684489114897605,
        4.684509617214825,
        4.684530119532046,
        4.684550145051192,
        4.684570647368413,
        4.684591149685634,
        4.684611652002854,
        4.684632154320075,
        4.6846526566372955,
        4.684673158954516,
        4.684693184473662,
        4.684713686790882,
        4.684734189108103,
        4.684754691425324,
        4.684775193742545,
        4.684795696059766,
        4.6848161983769865,
        4.684836223896132,
        4.6848567262133525,
        4.684877228530573,
        4.684897730847794,
        4.684918233165015,
        4.68493825868416,
        4.684958761001381,
        4.684979263318602,
        4.684999765635823,
        4.6850202679530435,
        4.685040293472189,
        4.6850607957894095,
        4.68508129810663,
        4.685101800423851,
        4.685122302741072,
        4.685142328260217,
        4.685162830577438,
        4.685183332894659,
        4.68520383521188,
        4.685223860731025,
        4.685244363048246,
        4.6852648653654665,
        4.685285367682687,
        4.685305393201833,
        4.685325895519053,
        4.685346397836274,
        4.685366900153495,
        4.685386925672641,
        4.685407427989862,
        4.685427930307082,
        4.685447955826228,
        4.685468458143449,
        4.6854889604606695,
        4.68550946277789,
        4.6855294882970355,
        4.685549990614256,
        4.685570492931477,
        4.685590518450623,
        4.685611020767843,
        4.685631523085064,
        4.68565154860421,
        4.685672050921431,
        4.685692553238652,
        4.685712578757797,
        4.685733081075018,
        4.685753583392239,
        4.685773608911385,
        4.685794111228605,
        4.685814613545825,
        4.685834639064971,
        4.685855141382192,
        4.685875643699413,
        4.685895669218558,
        4.685916171535779,
        4.685936673853,
        4.685956699372146,
        4.685977201689367,
        4.685997227208512,
        4.686017729525733,
        4.686038231842954,
        4.6860582573621,
        4.68607875967932,
        4.6860992619965405,
        4.6861192875156865,
        4.686139789832907,
        4.6861598153520525,
        4.686180317669273,
        4.686200819986494,
        4.68622084550564,
        4.686241347822861,
        4.686261373342006,
        4.686281875659227,
        4.686301901178373,
        4.686322403495594,
        4.686342905812815,
        4.68636293133196,
        4.686383433649181,
        4.686403459168327,
        4.686423961485548,
        4.686443987004693,
        4.686464489321914,
        4.68648451484106,
        4.6865050171582805,
        4.686525042677426,
        4.6865455449946465,
        4.6865655705137925,
        4.686586072831013,
        4.686606575148234,
        4.686626600667379,
        4.6866471029846,
        4.686667128503746,
        4.686687630820967,
        4.686707656340112,
        4.686728158657333,
        4.686748184176479,
        4.6867686864937,
        4.686788712012845,
        4.686808737531991,
        4.686829239849212,
        4.686849265368358,
        4.686869767685578,
        4.686889793204724,
        4.686910295521945,
        4.686930321041091,
        4.686950823358311,
        4.686970848877457,
        4.686991351194678,
        4.687011376713824,
        4.687031879031045,
        4.68705190455019,
        4.687071930069336,
        4.687092432386557,
        4.687112457905702,
        4.687132960222923,
        4.687152985742069,
        4.6871734880592895,
        4.6871935135784355,
        4.687213539097581,
        4.6872340414148015,
        4.6872540669339475,
        4.687274569251168,
        4.6872945947703135,
        4.6873146202894596,
        4.68733512260668,
        4.687355148125826,
        4.687375650443046,
        4.687395675962192,
        4.6874157014813385,
        4.687436203798559,
        4.6874562293177044,
        4.6874762548368505,
        4.687496757154071,
        4.687516782673217,
        4.6875368081923625,
        4.687557310509583,
        4.687577336028729,
        4.68759783834595,
        4.687617863865095,
        4.687637889384241,
        4.687658391701462,
        4.687678417220608,
        4.6876984427397534,
        4.687718945056974,
        4.68773897057612,
        4.6877589960952655,
        4.6877790216144115,
        4.687799523931632,
        4.687819549450778,
        4.6878395749699235,
        4.687860077287144,
        4.68788010280629,
        4.6879001283254365,
        4.687920630642656,
        4.687940656161802,
        4.6879606816809485,
        4.6879807072000945,
        4.6880012095173145,
        4.6880212350364605,
        4.6880412605556065,
        4.688061286074753,
        4.6880817883919725,
        4.688101813911119,
        4.688121839430265,
        4.688141864949411,
        4.688162367266631,
        4.688182392785777,
        4.688202418304923,
        4.688222443824068,
        4.688242946141289,
        4.688262971660435,
        4.688282997179581,
        4.688303022698726,
        4.688323525015947,
        4.688343550535093,
        4.688363576054239,
        4.688383601573384,
        4.68840362709253,
        4.688424129409751,
        4.688444154928897,
        4.688464180448042,
        4.688484205967188,
        4.688504231486334,
        4.688524733803555,
        4.6885447593227,
        4.688564784841846,
        4.688584810360992,
        4.688604835880137,
        4.688624861399283,
        4.688645363716504,
        4.68866538923565,
        4.688685414754795,
        4.688705440273941,
        4.6887254657930875,
        4.688745491312233,
        4.6887659936294535,
        4.6887860191485995,
        4.6888060446677455,
        4.688826070186891,
        4.688846095706037,
        4.688866121225183,
        4.688886146744329,
        4.688906172263474,
        4.688926674580695,
        4.688946700099841,
        4.688966725618986,
        4.688986751138132,
        4.689006776657278,
        4.689026802176424,
        4.689046827695569,
        4.689066853214715,
        4.689086878733861,
        4.6891069042530065,
        4.6891269297721525,
        4.689147432089373,
        4.689167457608519,
        4.6891874831276645,
        4.689207508646811,
        4.689227534165957,
        4.689247559685102,
        4.689267585204248,
        4.689287610723394,
        4.68930763624254,
        4.689327661761685,
        4.689347687280831,
        4.689367712799977,
        4.689387738319122,
        4.689407763838268,
        4.689427789357414,
        4.68944781487656,
        4.6894678403957055,
        4.689487865914852,
        4.689507891433998,
        4.689527916953143,
        4.689547942472289,
        4.689567967991435,
        4.689587993510581,
        4.689608019029726,
        4.689628044548872,
        4.689648070068018,
        4.689668095587163,
        4.689688121106309,
        4.689708146625455,
        4.689728172144601,
        4.6897481976637465,
        4.6897682231828925,
        4.689788248702039,
        4.689808274221184,
        4.68982829974033,
        4.689848325259476,
        4.689868350778621,
        4.689888376297767,
        4.689908401816913,
        4.689928427336059,
        4.689948452855204,
        4.68996847837435,
        4.689988503893496,
        4.690008052614567,
        4.690028078133713,
        4.690048103652859,
        4.690068129172004,
        4.69008815469115,
        4.690108180210296,
        4.690128205729442,
        4.690148231248587,
        4.690168256767733,
        4.690188282286879,
        4.690208307806024,
        4.690227856527096,
        4.690247882046242,
        4.690267907565387,
        4.690287933084533,
        4.690307958603679,
        4.690327984122825,
        4.69034800964197,
        4.690368035161116,
        4.690387583882187,
        4.6904076094013325,
        4.6904276349204785,
        4.690447660439625,
        4.69046768595877,
        4.690487711477916,
        4.690507736997062,
        4.690527285718132,
        4.690547311237278,
        4.690567336756424,
        4.69058736227557,
        4.690607387794715,
        4.690626936515787,
        4.690646962034933,
        4.690666987554078,
        4.690687013073224,
        4.69070703859237,
        4.690727064111515,
        4.690746612832586,
        4.690766638351732,
        4.6907866638708775,
        4.690906340187678,
        4.690925888908748,
        4.690945914427894,
        4.6909659399470405,
        4.690985965466186,
        4.691005514187257,
        4.691025539706403,
        4.691045565225548,
        4.691065590744694,
        4.691085139465765,
        4.6911051649849105,
        4.6911251905040565,
        4.691145216023203,
        4.691164764744273,
        4.691184790263419,
        4.691204815782565,
        4.691224364503635,
        4.691244390022781,
        4.691264415541927,
        4.691284441061073,
        4.691303989782144,
        4.69132401530129,
        4.691344040820435,
        4.691363589541506,
        4.691383615060652,
        4.691403640579797,
        4.691423189300869,
        4.691443214820015,
        4.69146324033916,
        4.691482789060231,
        4.691502814579377,
        4.691522840098522,
        4.6915423888195935,
        4.6915624143387396,
        4.691582439857885,
        4.691601988578956,
        4.691622014098102,
        4.691642039617248,
        4.691661588338318,
        4.691681613857464,
        4.6917016393766104,
        4.691721188097681,
        4.691741213616827,
        4.691760762337897,
        4.691780787857043,
        4.691800813376189,
        4.69182036209726,
        4.691840387616406,
        4.691860413135552,
        4.691879961856622,
        4.691899987375768,
        4.691919536096839,
        4.6919395616159845,
        4.6919595871351305,
        4.691979135856202,
        4.691999161375347,
        4.692018710096418,
        4.692038735615564,
        4.6920582843366345,
        4.692078309855781,
        4.692098335374927,
        4.692117884095997,
        4.692137909615143,
        4.692157458336214,
        4.692177483855359,
        4.692197032576431,
        4.692217058095577,
        4.692236606816647,
        4.692256632335793,
        4.692276181056864,
        4.692296206576009,
        4.6923162320951555,
        4.692335780816227,
        4.692355806335372,
        4.692375355056443,
        4.692395380575589,
        4.6924149292966595,
        4.6924349548158055,
        4.692454503536877,
        4.692474529056022,
        4.692494077777093,
        4.692514103296239,
        4.6925336520173095,
        4.692553677536456,
        4.692573226257526,
        4.692593251776672,
        4.692612800497743,
        4.692632826016888,
        4.69265237473796,
        4.692671923459031,
        4.692691948978176,
        4.692711497699247,
        4.692731523218393,
        4.692751071939464,
        4.69277109745861,
        4.692790646179681,
        4.692810671698826,
        4.692830220419897,
        4.692849769140968,
        4.692869794660114,
        4.692889343381185,
        4.692909368900331,
        4.692928917621401,
        4.692948943140547,
        4.692968491861618,
        4.692988040582689,
        4.693008066101835,
        4.693027614822905,
        4.693047640342051,
        4.693067189063123,
        4.693086737784193,
        4.693106763303339,
        4.69312631202441,
        4.693146337543555,
        4.693165886264627,
        4.693185434985697,
        4.693205460504843,
        4.693225009225914,
        4.693244557946985,
        4.693264583466131,
        4.693284132187202,
        4.693304157706347,
        4.693323706427418,
        4.6933432551484895,
        4.693363280667635,
        4.693382829388706,
        4.693402378109776,
        4.693422403628922,
        4.6934419523499935,
        4.693461501071064,
        4.69348152659021,
        4.693501075311281,
        4.6935206240323515,
        4.6935406495514975,
        4.693560198272569,
        4.693579746993639,
        4.693599772512785,
        4.6936193212338555,
        4.693638869954927,
        4.693658418675998,
        4.693678444195143,
        4.693697992916214,
        4.693717541637286,
        4.693737567156431,
        4.693757115877502,
        4.693776664598572,
        4.693796213319644,
        4.69381623883879,
        4.69383578755986,
        4.693855336280931,
        4.6938748850020025,
        4.693894910521148,
        4.693914459242219,
        4.693934007963289,
        4.69395355668436,
        4.6939735822035065,
        4.693993130924577,
        4.694012679645648,
        4.694032228366719,
        4.6940522538858644,
        4.694071802606936,
        4.694091351328006,
        4.694110900049077,
        4.6941304487701485,
        4.694150474289294,
        4.694170023010365,
        4.694189571731436,
        4.6942091204525065,
        4.6942291459716525,
        4.694248694692723,
        4.694268243413794,
        4.694287792134865,
        4.694307340855936,
        4.694326889577007,
        4.694346915096153,
        4.694366463817223,
        4.694386012538295,
        4.694405561259365,
        4.694425109980436,
        4.6944446587015065,
        4.6944646842206526,
        4.694484232941724,
        4.694503781662794,
        4.694523330383865,
        4.694542879104937,
        4.694562427826007,
        4.694581976547078,
        4.694602002066223,
        4.694621550787295,
        4.694641099508366,
        4.694660648229436,
        4.694680196950507,
        4.694699745671578,
        4.694719294392649,
        4.69473884311372,
        4.694758868632865,
        4.694778417353937,
        4.694797966075008,
        4.694817514796078,
        4.6948370635171495,
        4.69485661223822,
        4.694876160959291,
        4.694895709680362,
        4.694915258401433,
        4.694934807122504,
        4.694954355843574,
        4.69497438136272,
        4.6949939300837915,
        4.695013478804862,
        4.695033027525933,
        4.6950525762470035,
        4.695072124968075,
        4.695091673689146,
        4.695111222410216,
        4.6951307711312875,
        4.695150319852358,
        4.695169868573429,
        4.6951894172945,
        4.695208966015571,
        4.695228514736642,
        4.695248063457712,
        4.6952676121787835,
        4.695287160899855,
        4.695306709620925,
        4.695326258341996,
        4.695345807063067,
        4.695365355784138,
        4.695384904505209,
        4.6954044532262795,
        4.695424001947351,
        4.695443550668421,
        4.695463099389492,
        4.695482648110564,
        4.695502196831634,
        4.695521745552705,
        4.6955412942737755,
        4.695560842994847,
        4.695580391715918,
        4.695599940436988,
        4.69561948915806,
        4.69563903787913,
        4.695658586600201,
        4.695678135321272,
        4.695697684042343,
        4.695717232763414,
        4.695736781484484,
        4.695756330205556,
        4.695775402128551,
        4.695794950849622,
        4.695814499570694,
        4.695834048291764,
        4.695853597012835,
        4.695873145733906,
        4.695892694454977,
        4.695912243176048,
        4.695931791897118,
        4.69595134061819,
        4.69597088933926,
        4.695990438060331,
        4.696009509983327,
        4.696029058704398,
        4.696048607425469,
        4.69606815614654,
        4.696087704867611,
        4.696107253588681,
        4.696126802309752,
        4.696146351030824,
        4.696165422953819,
        4.6961849716748905,
        4.696204520395961,
        4.696224069117032,
        4.696243617838102,
        4.696263166559174,
        4.696282715280245,
        4.69630178720324,
        4.696321335924312,
        4.696340884645382,
        4.696360433366453,
        4.6963799820875245,
        4.696399530808595,
        4.696418602731591,
        4.696438151452662,
        4.696457700173733,
        4.696477248894803,
        4.6964967976158745,
        4.696515869538871,
        4.696535418259941,
        4.6965549669810125,
        4.696574515702083,
        4.696594064423154,
        4.69661313634615,
        4.696632685067221,
        4.696652233788292,
        4.6966717825093625,
        4.696691331230434,
        4.696710403153429,
        4.6967299518745005,
        4.696749500595571,
        4.696769049316642,
        4.6967881212396385,
        4.696807669960709,
        4.69682721868178,
        4.6968467674028505,
        4.696865839325847,
        4.696885388046917,
        4.6969049367679885,
        4.69692448548906,
        4.696943557412055,
        4.6969631061331265,
        4.696982654854197,
        4.697001726777193,
        4.697021275498264,
        4.697040824219335,
        4.697060372940406,
        4.697079444863402,
        4.697098993584473,
        4.697118542305543,
        4.69713761422854,
        4.69715716294961,
        4.697176711670681,
        4.697195783593677,
        4.697215332314748,
        4.697234881035819,
        4.69725442975689,
        4.697273501679886,
        4.6972930504009565,
        4.697312599122028,
        4.697331671045023,
        4.6973512197660945,
        4.697370768487166,
        4.697389840410161,
        4.6974093891312325,
        4.697428461054228,
        4.697448009775299,
        4.69746755849637,
        4.697486630419366,
        4.6975061791404364,
        4.697525727861508,
        4.697544799784503,
        4.6975643485055745,
        4.697583897226646,
        4.697602969149641,
        4.6976225178707125,
        4.697641589793708,
        4.697661138514779,
        4.69768068723585,
        4.697699759158846,
        4.697719307879916,
        4.697738379802913,
        4.697757928523984,
        4.6977774772450545,
        4.697796549168051,
        4.697816097889121,
        4.697835169812118,
        4.697854718533188,
        4.6978737904561845,
        4.697893339177255,
        4.697912887898326,
        4.697931959821322,
        4.697951508542393,
        4.697970580465389,
        4.69799012918646,
        4.698009201109456,
        4.698028749830526,
        4.698048298551598,
        4.698067370474593,
        4.6980869191956645,
        4.69810599111866,
        4.698125539839731,
        4.698144611762727,
        4.698164160483798,
        4.6981832324067945,
        4.698202781127865,
        4.698221853050861,
        4.698241401771932,
        4.698260473694928,
        4.698280022415998,
        4.698299094338995,
        4.698318643060065,
        4.698337714983062,
        4.698357263704132,
        4.698376335627128,
        4.6983958843482,
        4.698414956271195,
        4.6984345049922664,
        4.698453576915262,
        4.698473125636333,
        4.698492197559329,
        4.6985117462804,
        4.698530818203396,
        4.698549890126392,
        4.698569438847462,
        4.698588510770459,
        4.698608059491529,
        4.698627131414526,
        4.698646680135597,
        4.698665752058592,
        4.698685300779664,
        4.698704372702659,
        4.698723444625656,
        4.698742993346726,
        4.698762065269722,
        4.698781613990793,
        4.698800685913789,
        4.6988202346348595,
        4.698839306557856,
        4.6988583784808515,
        4.698877927201923,
        4.698896999124918,
        4.6989165478459896,
        4.698935619768985,
        4.6989546916919815,
        4.698974240413053,
        4.698993312336048,
        4.699012384259045,
        4.699031932980115,
        4.699051004903112,
        4.699070553624182,
        4.699089625547178,
        4.699108697470174,
        4.699128246191245,
        4.699147318114241,
        4.699166390037237,
        4.6991859387583075,
        4.699205010681304,
        4.6992240826042995,
        4.699243631325371,
        4.699262703248366,
        4.699281775171363,
        4.699301323892433,
        4.6993203958154295,
        4.699339467738425,
        4.699359016459496,
        4.699378088382493,
        4.699397160305488,
        4.6994167090265595,
        4.699435780949555,
        4.6994548528725515,
        4.699474401593622,
        4.699493473516618,
        4.699647002496736,
        4.699666074419731,
        4.699685623140803,
        4.699704695063798,
        4.699723766986795,
        4.69974283890979,
        4.699762387630861,
        4.699781459553857,
        4.699800531476853,
        4.699819603399849,
        4.69983915212092,
        4.699858224043916,
        4.699877295966912,
        4.699896367889908,
        4.699915916610979,
        4.6999349885339745,
        4.699954060456971,
        4.6999731323799665,
        4.699992204302963,
        4.700011753024033,
        4.70003082494703,
        4.700049896870025,
        4.700068968793022,
        4.700088040716017,
        4.7001075894370885,
        4.700126661360085,
        4.7001457332830805,
        4.700164805206076,
        4.7001838771290725,
        4.700202949052068,
        4.700222497773139,
        4.700241569696136,
        4.700260641619131,
        4.700279713542128,
        4.700298785465123,
        4.700317857388119,
        4.70033740610919,
        4.7003564780321865,
        4.700375549955182,
        4.7003946218781785,
        4.700413693801174,
        4.70043276572417,
        4.700451837647166,
        4.700471386368237,
        4.700490458291233,
        4.700509530214229,
        4.700528602137225,
        4.700547674060221,
        4.700566745983217,
        4.700585817906212,
        4.700604889829209,
        4.70062443855028,
        4.7006435104732756,
        4.700662582396272,
        4.7006816543192675,
        4.700700726242263,
        4.7007197981652595,
        4.700738870088255,
        4.7007579420112515,
        4.700777013934247,
        4.7007960858572435,
        4.700815157780239,
        4.7008342297032355,
        4.700853301626231,
        4.700872850347302,
        4.700891922270298,
        4.700910994193294,
        4.70093006611629,
        4.700949138039286,
        4.700968209962282,
        4.700987281885278,
        4.701006353808274,
        4.70102542573127,
        4.701044497654266,
        4.701063569577262,
        4.701082641500258,
        4.701101713423254,
        4.70112078534625,
        4.701139857269246,
        4.701158929192242,
        4.701178001115238,
        4.701197073038234,
        4.70121614496123,
        4.701235216884226,
        4.701254288807222,
        4.701273360730218,
        4.701292432653214,
        4.70131150457621,
        4.701330576499206,
        4.701349648422202,
        4.701368720345198,
        4.701387792268194,
        4.70140686419119,
        4.701425936114186,
        4.701445008037181,
        4.701464079960178,
        4.701483151883173,
        4.70150222380617,
        4.701521295729165,
        4.701540367652162,
        4.701559439575157,
        4.701578511498154,
        4.701597106623074,
        4.701616178546071,
        4.701635250469066,
        4.701654322392063,
        4.701673394315058,
        4.701692466238055,
        4.70171153816105,
        4.701730610084047,
        4.701749682007042,
        4.701768753930039,
        4.701787825853034,
        4.701806897776031,
        4.7018254929009515,
        4.701844564823947,
        4.7018636367469435,
        4.701882708669939,
        4.7019017805929355,
        4.701920852515931,
        4.7019399244389275,
        4.701958996361923,
        4.7019780682849195,
        4.70199666340984,
        4.702015735332837,
        4.702034807255832,
        4.702053879178829,
        4.702072951101824,
        4.702092023024821,
        4.702111094947816,
        4.702129690072737,
        4.702148761995733,
        4.702167833918729,
        4.702186905841725,
        4.702205977764721,
        4.702225049687717,
        4.702243644812638,
        4.702262716735635,
        4.70228178865863,
        4.7023008605816266,
        4.702319932504622,
        4.7023390044276185,
        4.702357599552539,
        4.702376671475536,
        4.702395743398531,
        4.702414815321528,
        4.702433887244523,
        4.702452482369444,
        4.7024715542924405,
        4.702490626215436,
        4.7025096981384324,
        4.702528770061428,
        4.70254736518635,
        4.702566437109345,
        4.702585509032342,
        4.702604580955337,
        4.702623176080259,
        4.702642248003254,
        4.70266131992625,
        4.702680391849246,
        4.702698986974167,
        4.7027180588971635,
        4.702737130820159,
        4.7027562027431555,
        4.702774797868076,
        4.702793869791073,
        4.702812941714068,
        4.702832013637065,
        4.7028506087619855,
        4.702869680684981,
        4.7028887526079775,
        4.702907347732898,
        4.702926419655895,
        4.70294549157889,
        4.702964563501887,
        4.702983158626807,
        4.703002230549804,
        4.703021302472799,
        4.703039897597721,
        4.703058969520717,
        4.703078041443712,
        4.703096636568634,
        4.703115708491629,
        4.703134780414626,
        4.7031533755395465,
        4.703172447462543,
        4.7031915193855385,
        4.70321011451046,
        4.703229186433456,
        4.703248258356452,
        4.703266853481373,
        4.703285925404368,
        4.703304997327365,
        4.703323592452286,
        4.703342664375282,
        4.703361736298278,
        4.703380331423199,
        4.703399403346195,
        4.703418475269191,
        4.703437070394112,
        4.7034561423171075,
        4.703474737442029,
        4.703493809365025,
        4.703512881288021,
        4.703531476412942,
        4.703550548335938,
        4.703569143460859,
        4.703588215383855,
        4.703607287306851,
        4.703625882431772,
        4.703644954354768,
        4.703663549479689,
        4.7036826214026854,
        4.703701693325681,
        4.703720288450602,
        4.703739360373598,
        4.703757955498519,
        4.703777027421515,
        4.703795622546436,
        4.703814694469433,
        4.703833766392428,
        4.70385236151735,
        4.703871433440345,
        4.703890028565266,
        4.7039091004882625,
        4.703927695613183,
        4.70394676753618,
        4.7039653626611,
        4.703984434584097,
        4.704003506507092,
        4.704022101632013,
        4.70404117355501,
        4.70405976867993,
        4.704078840602927,
        4.7040974357278476,
        4.704116507650844,
        4.704135102775765,
        4.704154174698761,
        4.704172769823682,
        4.7041918417466775,
        4.704210436871599,
        4.704229508794595,
        4.704248103919516,
        4.704267175842512,
        4.704285770967433,
        4.704304842890429,
        4.70432343801535,
        4.704342509938346,
        4.704361105063267,
        4.704379700188189,
        4.704398772111184,
        4.704417367236105,
        4.704436439159101,
        4.704455034284022,
        4.704474106207019,
        4.704492701331939,
        4.704511773254936,
        4.7045303683798565,
        4.704549440302852,
        4.704568035427774,
        4.704586630552694,
        4.704605702475691,
        4.704624297600612,
        4.704643369523608,
        4.704661964648529,
        4.70468055977345,
        4.704699631696446,
        4.704718226821367,
        4.704737298744363,
        4.704755893869284,
        4.7047749657922795,
        4.704793560917201,
        4.704812156042122,
        4.704831227965118,
        4.704849823090039,
        4.70486841821496,
        4.704887490137956,
        4.704906085262877,
        4.7049251571858735,
        4.704943752310794,
        4.704962347435716,
        4.704981419358711,
        4.705000014483632,
        4.705018609608554,
        4.705037681531549,
        4.705056276656471,
        4.7050753485794665,
        4.705093943704387,
        4.705112538829309,
        4.7051316107523045,
        4.705150205877226,
        4.705168801002147,
        4.705187872925143,
        4.705206468050064,
        4.705225063174985,
        4.705244135097981,
        4.705262730222902,
        4.705281325347824,
        4.705299920472744,
        4.70531899239574,
        4.705337587520662,
        4.705356182645582,
        4.705375254568579,
        4.7053938496934995,
        4.70541244481842,
        4.705431516741417,
        4.705450111866337,
        4.705468706991259,
        4.70548730211618,
        4.705506374039175,
        4.705524969164097,
        4.705543564289018,
        4.705562636212014,
        4.705581231336935,
        4.705599826461856,
        4.705618421586777,
        4.705637493509773,
        4.7056560886346945,
        4.705674683759615,
        4.705786731307216,
        4.705805803230213,
        4.7058243983551336,
        4.705842993480055,
        4.705861588604976,
        4.7058806605279715,
        4.705899255652893,
        4.705917850777814,
        4.7059364459027355,
        4.705955041027656,
        4.705974112950652,
        4.7059927080755735,
        4.706011303200494,
        4.706029898325416,
        4.706048493450337,
        4.706067565373332,
        4.706086160498254,
        4.7061047556231745,
        4.706123350748096,
        4.706141945873017,
        4.706160540997938,
        4.706179612920934,
        4.706198208045855,
        4.7062168031707765,
        4.706235398295697,
        4.706253993420618,
        4.70627258854554,
        4.706291660468535,
        4.706310255593456,
        4.706328850718378,
        4.706347445843298,
        4.70636604096822,
        4.706384636093141,
        4.7064032312180615,
        4.706421826342983,
        4.706440898265979,
        4.7064594933909,
        4.706478088515821,
        4.706496683640742,
        4.7065152787656634,
        4.706533873890584,
        4.706552469015505,
        4.706571064140427,
        4.706589659265347,
        4.706608254390269,
        4.7066273263132645,
        4.706645921438185,
        4.706664516563107,
        4.706683111688028,
        4.706701706812949,
        4.70672030193787,
        4.706738897062791,
        4.706757492187712,
        4.706776087312633,
        4.706794682437554,
        4.706813277562476,
        4.706831872687396,
        4.706850467812317,
        4.706869062937239,
        4.706888134860234,
        4.706906729985156,
        4.706925325110077,
        4.706943920234997,
        4.706962515359919,
        4.70698111048484,
        4.706999705609761,
        4.707018300734682,
        4.707036895859603,
        4.707055490984525,
        4.707074086109445,
        4.707092681234366,
        4.707111276359288,
        4.7071298714842085,
        4.70714846660913,
        4.707167061734051,
        4.707185656858972,
        4.707204251983893,
        4.707222847108814,
        4.707241442233735,
        4.707260037358656,
        4.707278632483577,
        4.707297227608499,
        4.7073158227334195,
        4.70733441785834,
        4.707353012983262,
        4.707371608108183,
        4.707390203233103,
        4.70740832155995,
        4.707426916684871,
        4.707445511809792,
        4.707464106934713,
        4.707482702059634,
        4.707501297184556,
        4.7075198923094765,
        4.707538487434397,
        4.707557082559319,
        4.70757567768424,
        4.70759427280916,
        4.707612867934082,
        4.707631463059003,
        4.7076500581839245,
        4.707668653308845,
        4.707686771635691,
        4.707705366760613,
        4.7077239618855335,
        4.707742557010454,
        4.707761152135376,
        4.707779747260297,
        4.707798342385217,
        4.707816937510139,
        4.70783553263506,
        4.707854127759981,
        4.707872246086827,
        4.707890841211748,
        4.707909436336669,
        4.707928031461591,
        4.707946626586511,
        4.707965221711433,
        4.707983816836354,
        4.7080024119612744,
        4.708020530288121,
        4.708039125413042,
        4.708057720537963,
        4.708076315662884,
        4.708094910787805,
        4.708113505912726,
        4.708131624239573,
        4.7081502193644935,
        4.708168814489414,
        4.708187409614336,
        4.708206004739257,
        4.708224599864178,
        4.708242718191024,
        4.708261313315945,
        4.708279908440867,
        4.708483501218848,
        4.70850209634377,
        4.7085202146706155,
        4.708538809795536,
        4.708557404920458,
        4.708576000045379,
        4.708594118372225,
        4.708612713497146,
        4.708631308622067,
        4.708649903746989,
        4.708668022073835,
        4.708686617198755,
        4.708705212323677,
        4.708723807448598,
        4.708741925775444,
        4.708760520900365,
        4.708779116025286,
        4.708797234352132,
        4.708815829477054,
        4.708834424601974,
        4.708853019726895,
        4.708871138053742,
        4.708889733178663,
        4.7089083283035835,
        4.70892644663043,
        4.708945041755351,
        4.708963636880272,
        4.7089822320051935,
        4.7090003503320395,
        4.70901894545696,
        4.709037540581882,
        4.709055658908728,
        4.7090742540336485,
        4.70909284915857,
        4.709110967485416,
        4.709129562610337,
        4.7091481577352585,
        4.7091662760621045,
        4.709184871187025,
        4.709203466311947,
        4.709221584638793,
        4.709240179763714,
        4.709258774888635,
        4.709276893215481,
        4.709295488340402,
        4.7093140834653235,
        4.7093322017921695,
        4.70935079691709,
        4.709368915243937,
        4.709387510368858,
        4.709406105493779,
        4.709424223820625,
        4.709442818945546,
        4.709461414070467,
        4.709479532397314,
        4.7094981275222345,
        4.7095162458490805,
        4.709534840974002,
        4.709553436098923,
        4.709571554425769,
        4.70959014955069,
        4.709608267877536,
        4.709626863002457,
        4.709645458127379,
        4.709663576454225,
        4.7096821715791455,
        4.709700289905992,
        4.709718885030913,
        4.709737003357759,
        4.709755598482681,
        4.709774193607601,
        4.709792311934447,
        4.709810907059369,
        4.709829025386215,
        4.709847620511136,
        4.709865738837982,
        4.709884333962903,
        4.709902452289749,
        4.70992104741467,
        4.709939165741517,
        4.709957760866438,
        4.709976355991358,
        4.709994474318205,
        4.710013069443126,
        4.710031187769972,
        4.7100497828948935,
        4.7100679012217395,
        4.71008649634666,
        4.710104614673507,
        4.710123209798428,
        4.710141328125274,
        4.710159923250195,
        4.710178041577041,
        4.710196636701962,
        4.710214755028809,
        4.71023335015373,
        4.710251468480576,
        4.710270063605497,
        4.710288181932343,
        4.710306777057264,
        4.71032489538411,
        4.710343013710957,
        4.7103616088358775,
        4.7103797271627235,
        4.710398322287645,
        4.710416440614491,
        4.710435035739412,
        4.710453154066259,
        4.710471749191179,
        4.710489867518025,
        4.710508462642947,
        4.710526580969793,
        4.710544699296639,
        4.71056329442156,
        4.7105814127484065,
        4.710600007873327,
        4.710618126200173,
        4.710636721325095,
        4.710654839651941,
        4.710672957978787,
        4.710691553103708,
        4.710709671430554,
        4.710728266555475,
        4.710746384882322,
        4.710764503209168,
        4.710783098334089,
        4.7108012166609345,
        4.710819811785856,
        4.710837930112702,
        4.710856048439548,
        4.71087464356447,
        4.710892761891316,
        4.710910880218162,
        4.710929475343083,
        4.710947593669929,
        4.71096618879485,
        4.710984307121696,
        4.711002425448543,
        4.7110210205734635,
        4.7110391389003095,
        4.711057257227156,
        4.711075852352077,
        4.711093970678923,
        4.71111208900577,
        4.711130684130691,
        4.7111488024575365,
        4.7111669207843825,
        4.711185515909304,
        4.71120363423615,
        4.711221752562996,
        4.711240347687918,
        4.711258466014764,
        4.71127658434161,
        4.711295179466531,
        4.711313297793377,
        4.711331416120223,
        4.711350011245144,
        4.711368129571991,
        4.711386247898837,
        4.711404366225683,
        4.711422961350604,
        4.71144107967745,
        4.711459198004296,
        4.711477793129218,
        4.711495911456064,
        4.71151402978291,
        4.711532148109756,
        4.711550743234677,
        4.711568861561523,
        4.711586979888369,
        4.711605098215215,
        4.711623693340137,
        4.711641811666983,
        4.711659929993829,
        4.7116780483206755,
        4.711696643445596,
        4.711714761772442,
        4.711732880099289,
        4.711750998426135,
        4.711769593551056,
        4.711787711877902,
        4.7118058302047485,
        4.7118239485315945,
        4.71184206685844,
        4.711860661983362,
        4.711878780310208,
        4.711896898637054,
        4.7119150169639,
        4.7119336120888216,
        4.7119517304156675,
        4.7119698487425135,
        4.711987967069359,
        4.712006085396206,
        4.712024203723052,
        4.712042798847973,
        4.71206091717482,
        4.712079035501666,
        4.712097153828512,
        4.712115272155358,
        4.712133867280279,
        4.712151985607125,
        4.712170103933971,
        4.712188222260818,
        4.712206340587664,
        4.71222445891451,
        4.712243054039431,
        4.7122611723662775,
        4.7122792906931235,
        4.712297409019969,
        4.712315527346816,
        4.712333645673662,
        4.712351764000508,
        4.712370359125429,
        4.712388477452276,
        4.712406595779122,
        4.712424714105968,
        4.712442832432814,
        4.71246095075966,
        4.712479069086506,
        4.712497187413352,
        4.712515305740198,
        4.71253390086512,
        4.712552019191966,
        4.712570137518812,
        4.712588255845659,
        4.712606374172505,
        4.712624492499351,
        4.7126426108261965,
        4.712660729153043,
        4.712678847479889,
        4.712696965806735,
        4.712715084133581,
        4.712733202460428,
        4.712751797585349,
        4.712769915912195,
        4.712788034239042,
        4.7128061525658875,
        4.7128242708927335,
        4.712842389219579,
        4.712860507546426,
        4.712878625873272,
        4.712896744200118,
        4.712914862526964,
        4.712932980853811,
        4.712951099180657,
        4.712969217507503,
        4.712987335834349,
        4.713005454161196,
        4.713023572488042,
        4.7130416908148876,
        4.713059809141734,
        4.71307792746858,
        4.713096045795426,
        4.713114164122272,
        4.713132282449119,
        4.713150400775965,
        4.713168519102811,
        4.713186637429657,
        4.713204755756504,
        4.71322287408335,
        4.713240992410196,
        4.713259110737042,
        4.7132772290638885,
        4.713295347390734,
        4.71331346571758,
        4.713331584044426,
        4.713349702371273,
        4.713367820698119,
        4.713385939024965,
        4.713404057351811,
        4.713422175678658,
        4.713440294005504,
        4.71345841233235,
        4.713476530659196,
        4.7134946489860425,
        4.7135127673128885,
        4.713530885639734,
        4.713549003966581,
        4.713567122293427,
        4.713584763822198,
        4.713602882149044,
        4.71362100047589,
        4.713639118802737,
        4.713657237129583,
        4.713675355456429,
        4.713693473783276,
        4.713711592110122,
        4.713729710436968,
        4.713747828763814,
        4.7137659470906605,
        4.7137840654175065,
        4.713801706946278,
        4.713819825273124,
        4.7138379435999695,
        4.713856061926816,
        4.713874180253662,
        4.713892298580508,
        4.713910416907355,
        4.713928535234201,
        4.713946176762972,
        4.713964295089818,
        4.713982413416664,
        4.714000531743511,
        4.714018650070357,
        4.714036768397203,
        4.714054886724049,
        4.714072528252821,
        4.714090646579667,
        4.714108764906513,
        4.714126883233359,
        4.7141450015602056,
        4.7141631198870515,
        4.7141812382138975,
        4.714198879742669,
        4.714216998069515,
        4.714235116396361,
        4.714253234723207,
        4.714271353050053,
        4.714288994578825,
        4.714307112905671,
        4.714325231232517,
        4.714343349559363,
        4.71436146788621,
        4.714379109414981,
        4.714397227741827,
        4.714415346068673,
        4.714433464395519,
        4.714451582722366,
        4.714469224251137,
        4.714487342577983,
        4.714505460904829,
        4.714523579231676,
        4.714541697558522,
        4.714559339087293,
        4.714577457414139,
        4.714595575740986,
        4.714613694067832,
        4.714631335596603,
        4.714649453923449,
        4.7146675722502955,
        4.7146856905771415,
        4.714703332105913,
        4.714721450432759,
        4.7147395687596045,
        4.714757687086451,
        4.7147753286152225,
        4.7147934469420685,
        4.714811565268914,
        4.714829683595761,
        4.714847325124532,
        4.714865443451378,
        4.714883561778224,
        4.7149012033069955,
        4.714919321633842,
        4.714937439960688,
        4.714955558287534,
        4.714973199816305,
        4.714991318143152,
        4.715009436469998,
        4.715027077998769,
        4.715045196325615,
        4.715063314652462,
        4.715080956181233,
        4.715099074508079,
        4.715117192834925,
        4.715134834363696,
        4.715152952690543,
        4.715171071017389,
        4.71518871254616,
        4.715206830873006,
        4.715224949199853,
        4.715242590728624,
        4.71526070905547,
        4.715278827382316,
        4.715296468911087,
        4.715314587237934,
        4.71533270556478,
        4.715350347093551,
        4.715368465420397,
        4.715386583747244,
        4.715404225276015,
        4.715422343602861,
        4.715439985131632,
        4.715458103458478,
        4.715476221785325,
        4.715493863314096,
        4.715511981640942,
        4.715530099967788,
        4.715547741496559,
        4.715565859823406,
        4.715583501352177,
        4.715601619679023,
        4.715619738005869,
        4.715637379534641,
        4.715655497861487,
        4.715673139390258,
        4.715691257717104,
        4.715708899245875,
        4.715727017572722,
        4.715745135899568,
        4.715762777428339,
        4.715780895755185,
        4.715798537283956,
        4.715816655610803,
        4.715834297139574,
        4.71585241546642,
        4.715870533793266,
        4.715888175322038,
        4.715906293648884,
        4.715923935177655,
        4.715942053504501,
        4.7159596950332725,
        4.715977813360119,
        4.7159954548888905,
        4.716013573215736,
        4.716031214744508,
        4.7160493330713535,
        4.716066974600126,
        4.7160850929269715,
        4.716102734455743,
        4.716120852782589,
        4.7161389711094355,
        4.716156612638207,
        4.716174730965053,
        4.716192372493824,
        4.71621049082067,
        4.716228132349441,
        4.716246250676288,
        4.716263892205059,
        4.716282010531905,
        4.716299652060676,
        4.716317293589447,
        4.716335411916294,
        4.716353053445065,
        4.716371171771911,
        4.716388813300682,
        4.716406931627529,
        4.7164245731563,
        4.716442691483146,
        4.716460333011917,
        4.716478451338763,
        4.716496092867534,
        4.716514211194381,
        4.716531852723152,
        4.7165494942519235,
        4.716567612578769,
        4.716585254107541,
        4.716603372434387,
        4.716621013963159,
        4.7166391322900045,
        4.716656773818776,
        4.716674415347547,
        4.716692533674394,
        4.716710175203165,
        4.716728293530011,
        4.716745935058782,
        4.716764053385628,
        4.7167816949144,
        4.716799336443171,
        4.716817454770017,
        4.716835096298788,
        4.716853214625634,
        4.716870856154406,
        4.716888497683177,
        4.716906616010023,
        4.716924257538794,
        4.716941899067566,
        4.716960017394412,
        4.7169776589231835,
        4.7169957772500295,
        4.717013418778801,
        4.717031060307572,
        4.717049178634419,
        4.71706682016319,
        4.717084461691961,
        4.717102580018807,
        4.717120221547578,
        4.717137863076349,
        4.717155981403196,
        4.717173622931967,
        4.717191264460738,
        4.717422988325139,
        4.717440629853911,
        4.717458271382682,
        4.717476389709528,
        4.717494031238299,
        4.7175116727670705,
        4.717529314295842,
        4.7175474326226885,
        4.71756507415146,
        4.717582715680231,
        4.717600357209002,
        4.717618475535848,
        4.71763611706462,
        4.717653758593391,
        4.717671876920237,
        4.717689518449008,
        4.717707159977779,
        4.7177248015065505,
        4.717742919833397,
        4.7177605613621685,
        4.71777820289094,
        4.717795844419711,
        4.717813962746557,
        4.717831604275329,
        4.7178492458041,
        4.717866887332871,
        4.717884528861642,
        4.717902647188488,
        4.717920288717259,
        4.717937930246031,
        4.7179555717748025,
        4.7179736901016485,
        4.71799133163042,
        4.718008973159191,
        4.718026614687962,
        4.718044256216734,
        4.71806237454358,
        4.718080016072351,
        4.718097657601122,
        4.718115299129893,
        4.7181329406586645,
        4.7181505821874365,
        4.7181687005142825,
        4.718186342043054,
        4.718203983571825,
        4.718221625100596,
        4.718239266629367,
        4.718257384956214,
        4.718275026484985,
        4.718292668013756,
        4.718310309542527,
        4.7183279510712985,
        4.71834559260007,
        4.718363234128842,
        4.718381352455688,
        4.718398993984459,
        4.71841663551323,
        4.718434277042001,
        4.718451918570772,
        4.718469560099544,
        4.7184872016283155,
        4.718505319955161,
        4.718522961483933,
        4.718540603012704,
        4.718558244541475,
        4.718575886070247,
        4.718593527599018,
        4.718611169127789,
        4.71862881065656,
        4.7186464521853315,
        4.7186645705121775,
        4.7186822120409495,
        4.720554359682042,
        4.722568593149455,
        4.72258957226475,
        4.722610551380046,
        4.7226320072934165,
        4.722652986408712,
        4.722673965524008,
        4.722694944639303,
        4.722715923754599,
        4.722736902869895,
        4.72275788198519,
        4.722778861100486,
        4.722799840215782,
        4.722820819331077,
        4.722841798446373,
        4.722862777561668,
        4.722883756676963,
        4.722905212590334,
        4.722926191705629,
        4.722947170820925,
        4.722968149936221,
        4.722989129051516,
        4.723010108166812,
        4.7230310872821075,
        4.723052066397403,
        4.723073045512699,
        4.723094024627994,
        4.72311500374329,
        4.723135982858586,
        4.723156961973881,
        4.723177941089177,
        4.723198920204473,
        4.723219899319767,
        4.723240878435063,
        4.723261857550359,
        4.723282836665654,
        4.72330381578095,
        4.723324794896246,
        4.723345774011541,
        4.723366753126837,
        4.7233877322421325,
        4.723408711357428,
        4.723429690472724,
        4.723450669588019,
        4.723471648703315,
        4.723492627818611,
        4.723513606933906,
        4.723534586049201,
        4.723555088366422,
        4.7235760674817175,
        4.723597046597013,
        4.723618025712309,
        4.7236390048276045,
        4.7236599839429,
        4.723680963058196,
        4.723701942173491,
        4.723722921288787,
        4.723743900404083,
        4.723764879519378,
        4.723785858634674,
        4.723806837749969,
        4.7238273400671895,
        4.723848319182485,
        4.723869298297781,
        4.723890277413076,
        4.723911256528372,
        4.723932235643668,
        4.723953214758963,
        4.723974193874259,
        4.72399469619148,
        4.7240156753067755,
        4.724036654422071,
        4.724057633537366,
        4.7240786126526615,
        4.724099591767957,
        4.724120570883253,
        4.724141073200474,
        4.724162052315769,
        4.724183031431065,
        4.7242040105463605,
        4.724224989661656,
        4.724245968776952,
        4.724266471094173,
        4.724287450209467,
        4.724308429324763,
        4.724329408440059,
        4.724350387555354,
        4.724370889872575,
        4.724391868987871,
        4.724412848103166,
        4.724433827218462,
        4.724454806333758,
        4.7244753086509785,
        4.724496287766274,
        4.72451726688157,
        4.724538245996865,
        4.724558748314085,
        4.724579727429381,
        4.724600706544677,
        4.724621685659972,
        4.724642664775268,
        4.724663167092489,
        4.724684146207784,
        4.72470512532308,
        4.724725627640301,
        4.724746606755596,
        4.724767585870891,
        4.724788564986187,
        4.724809067303408,
        4.724830046418703,
        4.724851025533999,
        4.724872004649295,
        4.7248925069665155,
        4.724913486081811,
        4.724934465197107,
        4.724954967514327,
        4.724975946629622,
        4.724996925744918,
        4.725017428062139,
        4.7250384071774345,
        4.72505938629273,
        4.725079888609951,
        4.725100867725247,
        4.725121846840542,
        4.725142825955838,
        4.725163328273058,
        4.7251843073883535,
        4.725204809705574,
        4.72522578882087,
        4.725246767936166,
        4.725267270253386,
        4.725288249368682,
        4.725309228483978,
        4.725329730801199,
        4.725350709916493,
        4.725371689031789,
        4.72539219134901,
        4.725413170464305,
        4.725433672781526,
        4.725454651896822,
        4.7254756310121175,
        4.725496133329338,
        4.725517112444634,
        4.725537614761854,
        4.72555859387715,
        4.725579572992445,
        4.725600075309666,
        4.725621054424962,
        4.725641556742183,
        4.725662535857478,
        4.725683514972774,
        4.725704017289995,
        4.725724996405289,
        4.72574549872251,
        4.725766477837806,
        4.725786980155027,
        4.725807959270322,
        4.725828461587543,
        4.725849440702839,
        4.7258704198181345,
        4.725890922135355,
        4.72591190125065,
        4.725932403567871,
        4.725953382683167,
        4.725973885000387,
        4.725994864115683,
        4.726015366432904,
        4.7260363455481995,
        4.72605684786542,
        4.726077826980715,
        4.726098329297936,
        4.726119308413232,
        4.726139810730452,
        4.726160789845748,
        4.726181292162969,
        4.7262022712782645,
        4.726222773595485,
        4.72624375271078,
        4.726450683075287,
        4.7264716621905825,
        4.726492164507803,
        4.726512666825024,
        4.72653364594032,
        4.72655414825754,
        4.726575127372835,
        4.726595629690056,
        4.726616608805352,
        4.726637111122573,
        4.7266576134397935,
        4.726678592555089,
        4.72669909487231,
        4.726720073987605,
        4.726740576304826,
        4.726761078622046,
        4.726782057737342,
        4.726802560054563,
        4.726823062371784,
        4.726844041487079,
        4.726864543804299,
        4.726885522919595,
        4.726906025236816,
        4.726926527554037,
        4.726947506669332,
        4.726968008986553,
        4.726988511303774,
        4.72700949041907,
        4.7270299927362895,
        4.72705049505351,
        4.727071474168806,
        4.727091976486027,
        4.727112478803248,
        4.727133457918543,
        4.727153960235763,
        4.727174462552984,
        4.72719544166828,
        4.727215943985501,
        4.727236446302721,
        4.727256948619942,
        4.727277927735238,
        4.727298430052458,
        4.727318932369679,
        4.727339911484974,
        4.727360413802195,
        4.727380916119416,
        4.727401418436637,
        4.7274223975519325,
        4.7274428998691524,
        4.727463402186373,
        4.727484381301669,
        4.72750488361889,
        4.727525385936111,
        4.727545888253331,
        4.72799932322256,
        4.728019825539781,
        4.728040327857002,
        4.728060830174223,
        4.728081332491444,
        4.728102311606738,
        4.728122813923959,
        4.72814331624118,
        4.728163818558401,
        4.728184320875622,
        4.728204823192843,
        4.728225325510063,
        4.728246304625358,
        4.728266806942579,
        4.7282873092598,
        4.728307811577021,
        4.728328313894242,
        4.7283488162114615,
        4.728369318528682,
        4.728389820845903,
        4.728410323163124,
        4.72843130227842,
        4.7284518045956405,
        4.7284723069128605,
        4.728492809230081,
        4.728513311547302,
        4.728533813864523,
        4.728554316181744,
        4.728574818498965,
        4.728595320816185,
        4.7286158231334054,
        4.728636325450626,
        4.728656827767847,
        4.728677330085068,
        4.728697832402289,
        4.7287188115175836,
        4.728739313834804,
        4.728759816152025,
        4.728780318469246,
        4.728800820786467,
        4.728821323103688,
        4.728841825420908,
        4.7288623277381285,
        4.728882830055349,
        4.72890333237257,
        4.728923834689791,
        4.728944337007011,
        4.728964839324232,
        4.729108355544777,
        4.729128857861998,
        4.7291493601792185,
        4.7291698624964384,
        4.729190364813659,
        4.72921086713088,
        4.729230892650026,
        4.729251394967247,
        4.729271897284467,
        4.729292399601688,
        4.729312901918909,
        4.7293334042361295,
        4.72935390655335,
        4.729374408870571,
        4.729394911187791,
        4.729415413505012,
        4.729435915822233,
        4.729456418139454,
        4.7294769204566744,
        4.729497422773895,
        4.72951744829304,
        4.729537950610261,
        4.729558452927482,
        4.729578955244703,
        4.729599457561924,
        4.729619959879144,
        4.729640462196365,
        4.729660964513585,
        4.729681466830806,
        4.729701492349951,
        4.729721994667172,
        4.729742496984393,
        4.729762999301614,
        4.729783501618835,
        4.729804003936056,
        4.7298245062532756,
        4.729844531772422,
        4.729865034089642,
        4.729885536406863,
        4.729906038724084,
        4.729926541041304,
        4.729947043358525,
        4.729967545675746,
        4.729987571194892,
        4.730008073512113,
        4.730028575829333,
        4.730049078146553,
        4.730069580463774,
        4.73008960598292,
        4.730110108300141,
        4.730130610617361,
        4.730151112934582,
        4.730171615251803,
        4.730191640770949,
        4.73021214308817,
        4.73023264540539,
        4.73025314772261,
        4.730273650039831,
        4.730293675558977,
        4.730314177876198,
        4.730334680193418,
        4.730355182510639,
        4.730375208029785,
        4.730395710347006,
        4.730416212664227,
        4.730436714981447,
        4.730456740500593,
        4.7304772428178135,
        4.730497745135034,
        4.730518247452255,
        4.7305382729714,
        4.730558775288621,
        4.730579277605842,
        4.730599303124988,
        4.730619805442208,
        4.730640307759429,
        4.73066081007665,
        4.730680835595796,
        4.7307013379130165,
        4.7307218402302365,
        4.7307418657493825,
        4.730762368066603,
        4.730782870383824,
        4.730802895902969,
        4.73082339822019,
        4.730843900537411,
        4.730863926056557,
        4.730884428373778,
        4.730904930690998,
        4.730924956210144,
        4.730945458527365,
        4.7309659608445855,
        4.730985986363732,
        4.7310064886809515,
        4.731026990998172,
        4.731047016517318,
        4.731067518834539,
        4.73108802115176,
        4.731108046670905,
        4.731128548988126,
        4.731148574507272,
        4.731169076824493,
        4.731189579141713,
        4.731209604660859,
        4.73123010697808,
        4.731250609295301,
        4.731270634814446,
        4.731291137131667,
        4.731311162650813,
        4.7313316649680335,
        4.731352167285254,
        4.7313721928043995,
        4.73139269512162,
        4.731412720640766,
        4.731433222957987,
        4.731453248477132,
        4.731473750794353,
        4.731494253111574,
        4.73151427863072,
        4.731534780947941,
        4.731554806467086,
        4.731575308784307,
        4.731595334303453,
        4.731615836620674,
        4.731635862139819,
        4.73165636445704,
        4.731676389976186,
        4.731696892293407,
        4.731717394610627,
        4.731737420129773,
        4.7317579224469934,
        4.7317779479661395,
        4.73179845028336,
        4.7318184758025055,
        4.731838978119726,
        4.731859003638872,
        4.731879505956093,
        4.731899531475238,
        4.731920033792459,
        4.731940059311605,
        4.731960561628826,
        4.731980587147971,
        4.732000612667117,
        4.732021114984338,
        4.732041140503484,
        4.732061642820704,
        4.73208166833985,
        4.732102170657071,
        4.732122196176217,
        4.732142698493437,
        4.732162724012583,
        4.732183226329804,
        4.73220325184895,
        4.732223277368095,
        4.732243779685316,
        4.732263805204462,
        4.732284307521683,
        4.732304333040829,
        4.732324835358049,
        4.732344860877195,
        4.732364886396341,
        4.732385388713562,
        4.732405414232707,
        4.732425916549928,
        4.732445942069074,
        4.73246596758822,
        4.73248646990544,
        4.732506495424586,
        4.7325269977418065,
        4.732547023260953,
        4.732567048780098,
        4.7325875510973185,
        4.732607576616465,
        4.732627602135611,
        4.732648104452831,
        4.732668129971977,
        4.7326886322891975,
        4.7327086578083435,
        4.732728683327489,
        4.7327491856447095,
        4.7327692111638555,
        4.7327892366830016,
        4.7328097390002215,
        4.7328297645193675,
        4.732849790038514,
        4.732870292355734,
        4.73289031787488,
        4.732910343394026,
        4.7329308457112464,
        4.7329508712303925,
        4.732970896749538,
        4.7329913990667585,
        4.7330114245859045,
        4.73303145010505,
        4.733051475624196,
        4.7330719779414165,
        4.733092003460563,
        4.733112028979708,
        4.733132531296929,
        4.733152556816075,
        4.733172582335221,
        4.733192607854366,
        4.733213110171587,
        4.733233135690733,
        4.733253161209879,
        4.733273186729024,
        4.733293689046245,
        4.733313714565391,
        4.733333740084537,
        4.733353765603682,
        4.733374267920903,
        4.733394293440049,
        4.733414318959194,
        4.73343434447834,
        4.733454846795561,
        4.733474872314707,
        4.733494897833852,
        4.733514923352998,
        4.733534948872144,
        4.733555451189365,
        4.73357547670851,
        4.733595502227656,
        4.733615527746802,
        4.733635553265948,
        4.733656055583168,
        4.733676081102314,
        4.73369610662146,
        4.733716132140605,
        4.733736157659751,
        4.733756659976972,
        4.733776685496118,
        4.7337967110152634,
        4.7338167365344095,
        4.7338367620535555,
        4.733856787572702,
        4.733876813091847,
        4.7338973154090676,
        4.733917340928214,
        4.733937366447359,
        4.733957391966505,
        4.733977417485651,
        4.733997443004797,
        4.734017468523942,
        4.734037970841163,
        4.734057996360309,
        4.734078021879455,
        4.7340980473986,
        4.734118072917746,
        4.734138098436892,
        4.734158123956037,
        4.734178149475183,
        4.734198174994329,
        4.73421867731155,
        4.734238702830695,
        4.734258728349841,
        4.734278753868987,
        4.734298779388133,
        4.734318804907279,
        4.734338830426425,
        4.734358855945571,
        4.734378881464716,
        4.734398906983862,
        4.734418932503008,
        4.734438958022153,
        4.734458983541299,
        4.734479009060445,
        4.734499034579591,
        4.734519060098736,
        4.734539562415957,
        4.734559587935103,
        4.734579613454248,
        4.734599638973394,
        4.7346196644925405,
        4.7346396900116865,
        4.734659715530832,
        4.734679741049978,
        4.734699766569124,
        4.734719792088269,
        4.734739817607415,
        4.734759843126561,
        4.734779868645707,
        4.734799894164852,
        4.734819919683998,
        4.734839945203144,
        4.734859970722289,
        4.734879996241435,
        4.7349000217605814,
        4.7349200472797275,
        4.734940072798873,
        4.734960098318019,
        4.73497964703909,
        4.734999672558235,
        4.735019698077381,
        4.735039723596527,
        4.735059749115672,
        4.735079774634818,
        4.735099800153964,
        4.73511982567311,
        4.7351398511922556,
        4.735159876711402,
        4.735179902230548,
        4.735199927749693,
        4.735219953268839,
        4.735239978787985,
        4.73526000430713,
        4.735279553028201,
        4.735299578547347,
        4.735319604066492,
        4.7353396295856385,
        4.7353596551047845,
        4.7353796806239306,
        4.735559433498167,
        4.7355794590173135,
        4.735599484536459,
        4.73561903325753,
        4.735639058776676,
        4.735659084295821,
        4.735679109814967,
        4.735699135334113,
        4.735719160853258,
        4.7357387095743295,
        4.735758735093476,
        4.735778760612621,
        4.735798786131767,
        4.735818811650913,
        4.735838837170059,
        4.735858385891129,
        4.735878411410275,
        4.735898436929421,
        4.735918462448566,
        4.735938487967712,
        4.735958036688784,
        4.735978062207929,
        4.735998087727075,
        4.736018113246221,
        4.736038138765366,
        4.736057687486437,
        4.736077713005583,
        4.7360977385247285,
        4.7361177640438745,
        4.736137312764946,
        4.736157338284091,
        4.736177363803237,
        4.736197389322383,
        4.736216938043453,
        4.736236963562599,
        4.736256989081745,
        4.7362770146008915,
        4.736296563321962,
        4.736316588841108,
        4.736336614360254,
        4.736356639879399,
        4.73637618860047,
        4.736396214119616,
        4.7364162396387615,
        4.736435788359833,
        4.736455813878979,
        4.736475839398124,
        4.73649586491727,
        4.736515413638341,
        4.736535439157486,
        4.736555464676632,
        4.736575013397704,
        4.736595038916849,
        4.736615064435995,
        4.736634613157066,
        4.736654638676211,
        4.736674664195357,
        4.7366942129164284,
        4.736714238435574,
        4.73673426395472,
        4.736753812675791,
        4.736773838194936,
        4.736793863714082,
        4.736813412435153,
        4.7368334379542985,
        4.7368534634734445,
        4.736873012194516,
        4.736893037713661,
        4.736912586434732,
        4.736932611953878,
        4.736952637473023,
        4.7369721861940945,
        4.736992211713241,
        4.737012237232386,
        4.737031785953457,
        4.737051811472603,
        4.737071360193673,
        4.737091385712819,
        4.737111411231965,
        4.737130959953036,
        4.737150985472182,
        4.737170534193253,
        4.737190559712398,
        4.7372101084334695,
        4.7372301339526155,
        4.737250159471761,
        4.737269708192832,
        4.737289733711978,
        4.737309282433048,
        4.737329307952194,
        4.7373488566732656,
        4.737368882192411,
        4.737388907711557,
        4.737408456432628,
        4.737428481951773,
        4.737448030672844,
        4.73746805619199,
        4.737487604913061,
        4.737507630432207,
        4.737527179153278,
        4.737547204672423,
        4.737566753393494,
        4.7375867789126405,
        4.737606327633711,
        4.737626353152857,
        4.737645901873927,
        4.737665927393073,
        4.7376854761141445,
        4.73770550163329,
        4.737725050354361,
        4.737745075873507,
        4.737764624594577,
        4.737784650113723,
        4.7378041988347945,
        4.73782422435394,
        4.737843773075011,
        4.737863798594157,
        4.737883347315227,
        4.737903372834373,
        4.737922921555445,
        4.737942470276515,
        4.737962495795661,
        4.737982044516732,
        4.738002070035877,
        4.738021618756949,
        4.738041644276095,
        4.738061192997165,
        4.738081218516311,
        4.738100767237381,
        4.738120315958453,
        4.738140341477599,
        4.738159890198669,
        4.738179915717815,
        4.738199464438886,
        4.738219013159957,
        4.738239038679103,
        4.738258587400174,
        4.738278612919319,
        4.73829816164039,
        4.738317710361461,
        4.738337735880607,
        4.738357284601678,
        4.738377310120823,
        4.738396858841894,
        4.738416407562966,
        4.738436433082111,
        4.738455981803182,
        4.738475530524253,
        4.738495556043398,
        4.73851510476447,
        4.73853465348554,
        4.738554679004686,
        4.738574227725757,
        4.7385937764468276,
        4.738613801965974,
        4.738633350687045,
        4.738652899408115,
        4.738672924927261,
        4.7386924736483325,
        4.738712022369403,
        4.738732047888549,
        4.738751596609619,
        4.73877114533069,
        4.7387911708498365,
        4.738810719570907,
        4.738830268291978,
        4.738850293811124,
        4.7388698425321945,
        4.738889391253266,
        4.738908939974336,
        4.738928965493482,
        4.738948514214553,
        4.738968062935624,
        4.73898808845477,
        4.739007637175841,
        4.739027185896911,
        4.7390467346179825,
        4.739066760137129,
        4.739086308858199,
        4.73910585757927,
        4.7391254063003405,
        4.7391454318194866,
        4.739164980540558,
        4.739184529261628,
        4.739204077982699,
        4.739224103501845,
        4.739243652222916,
        4.739263200943987,
        4.739282749665057,
        4.739302775184203,
        4.739322323905275,
        4.739341872626345,
        4.739361421347416,
        4.739380970068487,
        4.739400995587633,
        4.739420544308704,
        4.739440093029774,
        4.739459641750845,
        4.739479190471917,
        4.739499215991062,
        4.739518764712133,
        4.739538313433203,
        4.739557862154275,
        4.739577410875346,
        4.739596959596416,
        4.739616985115562,
        4.7396365338366335,
        4.739656082557704,
        4.739675631278775,
        4.7396951799998455,
        4.739714728720917,
        4.739734277441988,
        4.739754302961133,
        4.739773851682204,
        4.739793400403275,
        4.739812949124346,
        4.739832497845417,
        4.7398520465664875,
        4.739871595287559,
        4.739891620806705,
        4.739911169527775,
        4.739930718248846,
        4.739950266969917,
        4.739969815690988,
        4.739989364412058,
        4.7400089131331296,
        4.740028461854201,
        4.740048010575271,
        4.740067559296342,
        4.740087584815488,
        4.740107133536559,
        4.74012668225763,
        4.7401462309787,
        4.740165779699772,
        4.740185328420843,
        4.740204877141913,
        4.740224425862984,
        4.740243974584055,
        4.740263523305126,
        4.740283072026197,
        4.740302620747268,
        4.740322169468339,
        4.740341718189409,
        4.74036126691048,
        4.740380815631552,
        4.740400364352622,
        4.740419913073693,
        4.740439461794764,
        4.74045948731391,
        4.740479036034981,
        4.740498584756051,
        4.7405181334771225,
        4.740537682198193,
        4.740557230919264,
        4.740576779640335,
        4.740596328361406,
        4.740615877082477,
        4.740635425803547,
        4.7406549745246185,
        4.74067452324569,
        4.74069407196676,
        4.7407131438897565,
        4.740732692610827,
        4.740752241331898,
        4.7407717900529684,
        4.74079133877404,
        4.740810887495111,
        4.740830436216181,
        4.7408499849372525,
        4.740869533658323,
        4.740889082379394,
        4.740908631100465,
        4.740928179821536,
        4.740947728542607,
        4.740967277263677,
        4.7409868259847485,
        4.74100637470582,
        4.74102592342689,
        4.741045472147961,
        4.741065020869032,
        4.741084092792028,
        4.7411036415130985,
        4.74112319023417,
        4.741142738955241,
        4.741162287676311,
        4.7411818363973826,
        4.741201385118453,
        4.741220933839524,
        4.741240482560595,
        4.741260031281666,
        4.741279103204662,
        4.7412986519257325,
        4.741318200646804,
        4.741337749367875,
        4.741357298088945,
        4.741376846810017,
        4.741396395531087,
        4.741415944252158,
        4.741435016175154,
        4.741454564896225,
        4.741474113617296,
        4.7414936623383666,
        4.741513211059438,
        4.741532759780508,
        4.741551831703505,
        4.741571380424575,
        4.741590929145646,
        4.741610477866717,
        4.741630026587788,
        4.741649575308859,
        4.7416686472318545,
        4.741688195952926,
        4.741707744673997,
        4.741727293395067,
        4.741746842116139,
        4.741765914039134,
        4.741785462760205,
        4.741805011481276,
        4.741824560202347,
        4.741844108923418,
        4.741863180846414,
        4.741882729567485,
        4.741902278288555,
        4.741921827009627,
        4.741940898932622,
        4.741960447653693,
        4.741979996374765,
        4.741999545095835,
        4.742018617018831,
        4.742038165739902,
        4.742057714460973,
        4.742077263182043,
        4.74209633510504,
        4.742115883826111,
        4.742135432547181,
        4.742154981268253,
        4.742174053191248,
        4.742193601912319,
        4.74221315063339,
        4.742232699354461,
        4.742251771277457,
        4.742271319998528,
        4.742290868719599,
        4.742309940642595,
        4.742329489363666,
        4.742349038084736,
        4.742368586805807,
        4.742387658728803,
        4.742407207449874,
        4.7424267561709454,
        4.742445828093941,
        4.742465376815012,
        4.742484925536083,
        4.742503997459079,
        4.742523546180149,
        4.742543094901221,
        4.742562166824216,
        4.742581715545287,
        4.742601264266359,
        4.742620336189354,
        4.742639884910425,
        4.742659433631496,
        4.742678505554492,
        4.742698054275563,
        4.742717126198559,
        4.742736674919629,
        4.742756223640701,
        4.742775295563697,
        4.742794844284767,
        4.742814393005839,
        4.742833464928834,
        4.742853013649905,
        4.742872085572901,
        4.742891634293972,
        4.742911183015043,
        4.742930254938039,
        4.74294980365911,
        4.742968875582106,
        4.742988424303177,
        4.743007973024247,
        4.743027044947244,
        4.743046593668314,
        4.743065665591311,
        4.743085214312381,
        4.743104763033452,
        4.743123834956449,
        4.743143383677519,
        4.743162455600515,
        4.743182004321586,
        4.743201076244582,
        4.7432206249656526,
        4.743239696888649,
        4.743259245609719,
        4.743278794330791,
        4.743297866253786,
        4.743317414974857,
        4.743336486897854,
        4.743356035618924,
        4.743375107541921,
        4.743394656262991,
        4.743413728185987,
        4.743433276907058,
        4.743452348830054,
        4.7434718975511245,
        4.743490969474121,
        4.743510518195191,
        4.743529590118188,
        4.743549138839259,
        4.7435682107622545,
        4.743587759483326,
        4.743606831406321,
        4.743626380127393,
        4.743645452050388,
        4.743665000771459,
        4.743684072694455,
        4.743703621415526,
        4.743722693338522,
        4.743742242059593,
        4.7437613139825885,
        4.743780385905585,
        4.743799934626655,
        4.743819006549652,
        4.743838555270723,
        4.7438576271937185,
        4.74387717591479,
        4.743896247837785,
        4.7439157965588565,
        4.743934868481852,
        4.7439539404048485,
        4.743973489125919,
        4.743992561048915,
        4.744012109769986,
        4.744031181692982,
        4.744050253615978,
        4.744069802337049,
        4.744088874260044,
        4.744108422981116,
        4.744127494904112,
        4.744146566827108,
        4.744166115548179,
        4.7441851874711745,
        4.744204736192246,
        4.744223808115241,
        4.744242880038238,
        4.744262428759308,
        4.7442815006823045,
        4.744301049403375,
        4.744320121326371,
        4.744339193249367,
        4.744358741970438,
        4.744377813893434,
        4.74439688581643,
        4.7444164345375,
        4.744435506460497,
        4.744454578383492,
        4.744474127104564,
        4.744493199027559,
        4.744512270950556,
        4.744531819671627,
        4.744550891594622,
        4.744569963517619,
        4.744589512238689,
        4.744608584161686,
        4.744627656084681,
        4.744838877631862,
        4.744858426352932,
        4.744877498275929,
        4.744896570198924,
        4.7449161189199955,
        4.744935190842991,
        4.7449542627659875,
        4.744973334688983,
        4.744992883410054,
        4.74501195533305,
        4.745031027256046,
        4.745050099179042,
        4.745069647900113,
        4.7450887198231095,
        4.745107791746105,
        4.745126863669101,
        4.745145935592097,
        4.745165484313168,
        4.745184556236164,
        4.74520362815916,
        4.745222700082156,
        4.745242248803227,
        4.745261320726223,
        4.745280392649219,
        4.745299464572215,
        4.745318536495211,
        4.745338085216281,
        4.745357157139278,
        4.745376229062273,
        4.74539530098527,
        4.745414372908265,
        4.745433444831262,
        4.745452993552332,
        4.745472065475329,
        4.745491137398324,
        4.745510209321321,
        4.745529281244316,
        4.745548353167313,
        4.745567901888383,
        4.745586973811379,
        4.745606045734375,
        4.745625117657371,
        4.745644189580367,
        4.745663261503363,
        4.745682333426359,
        4.74570188214743,
        4.745720954070426,
        4.745740025993422,
        4.745759097916418,
        4.745778169839414,
        4.74579724176241,
        4.745816313685406,
        4.745835385608402,
        4.745854457531398,
        4.7458740062524685,
        4.745893078175465,
        4.7459121500984605,
        4.745931222021457,
        4.7459502939444524,
        4.745969365867449,
        4.745988437790444,
        4.746007509713441,
        4.746026581636436,
        4.746045653559433,
        4.746064725482428,
        4.746083797405424,
        4.746103346126495,
        4.746122418049492,
        4.746141489972487,
        4.746160561895484,
        4.746179633818479,
        4.746198705741476,
        4.746217777664471,
        4.746236849587467,
        4.746255921510463,
        4.746274993433459,
        4.746294065356455,
        4.746313137279451,
        4.746332209202447,
        4.746351281125443,
        4.746370353048439,
        4.746389424971435,
        4.746408496894431,
        4.746427568817427,
        4.746446640740423,
        4.746465712663419,
        4.746484784586415,
        4.746503856509411,
        4.746522928432407,
        4.746542000355403,
        4.746561072278399,
        4.746580144201395,
        4.746599216124391,
        4.746618288047387,
        4.746637359970383,
        4.746656431893379,
        4.746675503816375,
        4.746694575739371,
        4.746713647662367,
        4.746732719585363,
        4.746751791508359,
        4.746770863431355,
        4.746789935354351,
        4.746809007277347,
        4.746828079200342,
        4.746846674325264,
        4.746865746248259,
        4.746884818171256,
        4.746903890094251,
        4.746922962017248,
        4.746942033940243,
        4.74696110586324,
        4.746980177786235,
        4.746999249709232,
        4.747018321632227,
        4.747037393555224,
        4.747056465478219,
        4.747075060603141,
        4.747094132526136,
        4.747189492141116,
        4.747208564064112,
        4.747227635987108,
        4.74724623111203,
        4.747265303035025,
        4.747284374958022,
        4.747303446881017,
        4.747322518804014,
        4.747341590727009,
        4.747360662650006,
        4.747379257774926,
        4.747398329697923,
        4.747417401620918,
        4.747436473543915,
        4.74745554546691,
        4.747474617389907,
        4.7474932125148275,
        4.747512284437823,
        4.7475313563608195,
        4.747550428283815,
        4.7475695002068115,
        4.747588572129807,
        4.747607167254729,
        4.747626239177724,
        4.747645311100721,
        4.747664383023716,
        4.747683454946713,
        4.747702050071633,
        4.747721121994629,
        4.747740193917625,
        4.747759265840621,
        4.7477778609655426,
        4.747796932888538,
        4.7478160048115345,
        4.74783507673453,
        4.7478541486575265,
        4.747872743782447,
        4.747891815705444,
        4.747910887628439,
        4.747929959551436,
        4.7479485546763565,
        4.747967626599352,
        4.7479866985223484,
        4.748005770445344,
        4.748024365570266,
        4.748043437493261,
        4.748062509416258,
        4.748081104541178,
        4.748100176464175,
        4.74811924838717,
        4.748138320310167,
        4.7481569154350876,
        4.748175987358083,
        4.7481950592810795,
        4.748214131204075,
        4.748232726328997,
        4.748251798251992,
        4.748270870174989,
        4.7482894652999095,
        4.748308537222906,
        4.7483276091459015,
        4.748346204270822,
        4.748365276193819,
        4.748384348116814,
        4.748402943241736,
        4.748422015164731,
        4.748441087087728,
        4.748459682212649,
        4.748478754135645,
        4.748497826058641,
        4.748516421183561,
        4.748535493106558,
        4.748554565029553,
        4.748573160154475,
        4.7485922320774705,
        4.748611304000467,
        4.748629899125388,
        4.748648971048384,
        4.74866804297138,
        4.748686638096301,
        4.748705710019297,
        4.748724305144218,
        4.748743377067214,
        4.74876244899021,
        4.748781044115131,
        4.748800116038127,
        4.748818711163048,
        4.748837783086044,
        4.74885685500904,
        4.748875450133961,
        4.748894522056957,
        4.748913117181878,
        4.748932189104874,
        4.74895126102787,
        4.748969856152791,
        4.7489889280757875,
        4.749007523200708,
        4.749026595123704,
        4.7490451902486255,
        4.749064262171621,
        4.7490833340946175,
        4.749101929219538,
        4.749121001142535,
        4.749139596267455,
        4.749158668190451,
        4.749177263315373,
        4.749196335238368,
        4.74921493036329,
        4.749234002286285,
        4.749252597411207,
        4.7492716693342025,
        4.749290741257199,
        4.74930933638212,
        4.749328408305115,
        4.749347003430037,
        4.7493660753530325,
        4.749384670477954,
        4.74940374240095,
        4.74942233752587,
        4.749441409448867,
        4.749460004573788,
        4.749479076496784,
        4.749497671621705,
        4.749516743544701,
        4.749535338669622,
        4.749554410592618,
        4.749573005717539,
        4.74959160084246,
        4.749610672765456,
        4.749629267890377,
        4.7496483398133735,
        4.749666934938294,
        4.74968600686129,
        4.7497046019862115,
        4.749723673909207,
        4.749742269034129,
        4.749761340957124,
        4.749779936082046,
        4.749799008005041,
        4.749817603129962,
        4.749836198254884,
        4.749855270177879,
        4.749873865302801,
        4.7498929372257965,
        4.749911532350718,
        4.749930127475639,
        4.7499491993986345,
        4.749967794523556,
        4.749986866446552,
        4.750005461571473,
        4.750024533494469,
        4.75004312861939,
        4.750061723744311,
        4.750080795667307,
        4.750099390792228,
        4.750118462715224,
        4.750137057840146,
        4.750155652965066,
        4.750174724888062,
        4.7501933200129836,
        4.750211915137904,
        4.750230987060901,
        4.7502495821858215,
        4.750268177310742,
        4.750287249233739,
        4.750305844358659,
        4.750324916281656,
        4.750343511406577,
        4.750362106531497,
        4.750381178454494,
        4.750399773579415,
        4.750418368704336,
        4.750437440627332,
        4.750456035752253,
        4.750474630877174,
        4.75049370280017,
        4.750512297925091,
        4.750530893050012,
        4.7505499649730085,
        4.750568560097929,
        4.75058715522285,
        4.750605750347772,
        4.750624822270767,
        4.750643417395689,
        4.75066201252061,
        4.750681084443605,
        4.750699679568527,
        4.7507182746934475,
        4.750736869818369,
        4.750755941741365,
        4.7507745368662855,
        4.750793131991207,
        4.750812203914203,
        4.750830799039124,
        4.750849394164045,
        4.750867989288966,
        4.750887061211962,
        4.750905656336883,
        4.750924251461805,
        4.750942846586725,
        4.750961918509721,
        4.750980513634643,
        4.750999108759563,
        4.751017703884485,
        4.7510367758074805,
        4.751055370932401,
        4.751073966057323,
        4.751092561182244,
        4.751111156307165,
        4.751130228230161,
        4.751148823355082,
        4.751167418480003,
        4.751186013604924,
        4.75120508552792,
        4.751223680652841,
        4.751242275777762,
        4.751260870902684,
        4.751279466027604,
        4.751298537950601,
        4.7513171330755215,
        4.751335728200442,
        4.751354323325364,
        4.751372918450285,
        4.751391513575206,
        4.751410585498202,
        4.751429180623123,
        4.751447775748044,
        4.751466370872965,
        4.751484965997886,
        4.751503561122807,
        4.751522633045803,
        4.7515412281707246,
        4.751559823295645,
        4.751578418420566,
        4.751597013545488,
        4.751615608670408,
        4.75163420379533,
        4.751653275718326,
        4.751671870843246,
        4.751690465968168,
        4.751709061093089,
        4.75172765621801,
        4.751746251342931,
        4.751764846467852,
        4.7517834415927735,
        4.751802036717694,
        4.751821108640691,
        4.7518397037656115,
        4.751858298890532,
        4.751876894015454,
        4.751895489140375,
        4.751914084265295,
        4.751932679390217,
        4.751951274515138,
        4.7519698696400585,
        4.75198846476498,
        4.752007059889901,
        4.7520256550148225,
        4.752044726937818,
        4.752063322062739,
        4.7520819171876605,
        4.752100512312581,
        4.752119107437503,
        4.752137702562424,
        4.752156297687344,
        4.752174892812266,
        4.752193487937187,
        4.7522120830621075,
        4.752230678187029,
        4.75224927331195,
        4.7522678684368715,
        4.752286463561792,
        4.752305058686713,
        4.752323653811635,
        4.752342248936555,
        4.752360844061476,
        4.752379439186398,
        4.752398034311319,
        4.75241662943624,
        4.752435224561161,
        4.752453819686082,
        4.752472414811003,
        4.752491009935924,
        4.752509605060845,
        4.7525282001857665,
        4.752546795310687,
        4.752565390435609,
        4.75258398556053,
        4.75260258068545,
        4.752621175810372,
        4.752639770935293,
        4.7526583660602135,
        4.752676961185135,
        4.752695556310056,
        4.752714151434977,
        4.752732746559898,
        4.752751341684819,
        4.752769936809741,
        4.752788531934661,
        4.752806650261507,
        4.752825245386429,
        4.75284384051135,
        4.7528624356362705,
        4.752881030761192,
        4.752899625886113,
        4.752918221011034,
        4.752936816135955,
        4.752955411260876,
        4.752974006385798,
        4.7529926015107185,
        4.753011196635639,
        4.753029314962486,
        4.753047910087407,
        4.7530665052123275,
        4.753085100337249,
        4.75310369546217,
        4.753122290587091,
        4.753140885712012,
        4.753159480836933,
        4.753178075961855,
        4.753196194288701,
        4.753214789413621,
        4.753233384538543,
        4.753251979663464,
        4.7532705747883846,
        4.753289169913306,
        4.753307765038227,
        4.753325883365073,
        4.7533444784899945,
        4.753363073614915,
        4.753381668739836,
        4.753400263864758,
        4.753418858989678,
        4.753436977316524,
        4.753455572441446,
        4.753474167566367,
        4.753492762691288,
        4.753511357816209,
        4.75352995294113,
        4.753548071267977,
        4.7535666663928975,
        4.753585261517818,
        4.75360385664274,
        4.753622451767661,
        4.753640570094507,
        4.753659165219428,
        4.753677760344349,
        4.75369635546927,
        4.753714950594191,
        4.753733068921037,
        4.753751664045958,
        4.75377025917088,
        4.7537888542958004,
        4.753806972622646,
        4.753825567747568,
        4.753844162872489,
        4.75386275799741,
        4.753881353122331,
        4.753899471449177,
        4.753918066574099,
        4.7539366616990195,
        4.75395525682394,
        4.753973375150787,
        4.753991970275708,
        4.754010565400629,
        4.7540286837274754,
        4.754213681380536,
        4.754231799707382,
        4.754250394832304,
        4.754268989957224,
        4.75428710828407,
        4.754305703408992,
        4.754324298533913,
        4.754342416860759,
        4.75436101198568,
        4.754379607110601,
        4.754398202235522,
        4.754416320562369,
        4.754434915687289,
        4.75445351081221,
        4.754471629139057,
        4.754490224263978,
        4.754508342590824,
        4.754526937715745,
        4.754545532840666,
        4.754563651167512,
        4.754582246292434,
        4.754600841417354,
        4.7546189597442,
        4.754637554869122,
        4.754656149994043,
        4.754674268320889,
        4.75469286344581,
        4.754710981772656,
        4.754729576897577,
        4.754748172022499,
        4.754766290349345,
        4.754784885474265,
        4.754803480599187,
        4.754821598926033,
        4.754840194050954,
        4.7548583123778005,
        4.754876907502721,
        4.754895502627642,
        4.754913620954489,
        4.75493221607941,
        4.754950334406256,
        4.754968929531177,
        4.754987047858023,
        4.755005642982944,
        4.755024238107866,
        4.7550423564347115,
        4.755060951559632,
        4.755079069886479,
        4.7550976650114,
        4.755115783338246,
        4.755134378463167,
        4.755152496790013,
        4.755171091914934,
        4.755189687039856,
        4.755207805366702,
        4.7552264004916225,
        4.755244518818468,
        4.75526311394339,
        4.755281232270236,
        4.755299827395157,
        4.755317945722004,
        4.755336540846924,
        4.75535465917377,
        4.755373254298692,
        4.755391372625538,
        4.755409967750459,
        4.7554280860773055,
        4.755446681202226,
        4.755464799529072,
        4.755483394653994,
        4.75550151298084,
        4.7555201081057605,
        4.755538226432607,
        4.755556821557528,
        4.755574939884374,
        4.755593535009296,
        4.755611653336142,
        4.755630248461062,
        4.755648366787908,
        4.75566696191283,
        4.755685080239676,
        4.755703198566522,
        4.7557217936914435,
        4.7557399120182895,
        4.75575850714321,
        4.755776625470057,
        4.755795220594978,
        4.755813338921824,
        4.755831934046745,
        4.755850052373591,
        4.755868170700437,
        4.755886765825358,
        4.755904884152205,
        4.755923479277126,
        4.755941597603972,
        4.7559597159308185,
        4.755978311055739,
        4.755996429382585,
        4.756015024507507,
        4.756033142834353,
        4.7560517379592735,
        4.75606985628612,
        4.756087974612966,
        4.756106569737887,
        4.756124688064733,
        4.75614280639158,
        4.756161401516501,
        4.7561795198433465,
        4.756198114968268,
        4.756216233295114,
        4.75623435162196,
        4.756252946746882,
        4.756271065073728,
        4.756289183400574,
        4.756307778525494,
        4.756325896852341,
        4.756344015179187,
        4.756362610304108,
        4.756380728630955,
        4.7563993237558755,
        4.756417442082721,
        4.756435560409568,
        4.756454155534489,
        4.756472273861335,
        4.756490392188181,
        4.756508510515028,
        4.7565271056399485,
        4.7565452239667945,
        4.756563342293641,
        4.756581937418562,
        4.756600055745408,
        4.756618174072254,
        4.756636769197176,
        4.7566548875240215,
        4.7566730058508675,
        4.756691600975789,
        4.756709719302635,
        4.756727837629481,
        4.756745955956328,
        4.756764551081249,
        4.756782669408095,
        4.7568007877349405,
        4.756819382859862,
        4.756837501186708,
        4.756855619513554,
        4.756873737840401,
        4.756892332965322,
        4.756910451292168,
        4.756928569619014,
        4.75694668794586,
        4.756965283070781,
        4.756983401397627,
        4.757001519724474,
        4.75701963805132,
        4.757038233176241,
        4.757056351503087,
        4.757074469829933,
        4.757092588156779,
        4.757110706483625,
        4.757129301608547,
        4.757147419935393,
        4.757165538262239,
        4.757183656589085,
        4.7572022517140065,
        4.757220370040852,
        4.757238488367698,
        4.757256606694545,
        4.757274725021391,
        4.757293320146312,
        4.757311438473158,
        4.757329556800005,
        4.757347675126851,
        4.757365793453697,
        4.757383911780543,
        4.757402506905464,
        4.75742062523231,
        4.757438743559156,
        4.757456861886003,
        4.757474980212849,
        4.757493098539695,
        4.7575116936646165,
        4.757529811991462,
        4.757547930318308,
        4.757566048645154,
        4.757584166972001,
        4.757602285298847,
        4.757620403625693,
        4.757638998750614,
        4.757657117077461,
        4.757675235404307,
        4.7576933537311525,
        4.757711472057999,
        4.757729590384845,
        4.757747708711691,
        4.757765827038537,
        4.757784422163459,
        4.757802540490305,
        4.757820658817151,
        4.757838777143997,
        4.757856895470844,
        4.7578750137976895,
        4.7578931321245355,
        4.757911250451382,
        4.757929368778228,
        4.757947487105074,
        4.757966082229995,
        4.757984200556842,
        4.758002318883688,
        4.758020437210534,
        4.75803855553738,
        4.7580566738642265,
        4.758074792191072,
        4.758092910517918,
        4.758111028844764,
        4.758129147171611,
        4.758147265498457,
        4.758165383825303,
        4.75818350215215,
        4.758201620478996,
        4.758219738805842,
        4.758237857132688,
        4.758255975459535,
        4.758274570584455,
        4.758292688911301,
        4.758310807238147,
        4.758328925564994,
        4.75834704389184,
        4.758365162218686,
        4.758383280545532,
        4.758401398872379,
        4.758419517199225,
        4.758437635526071,
        4.7584557538529175,
        4.7584738721797635,
        4.758491990506609,
        4.758510108833455,
        4.758528227160302,
        4.758546345487148,
        4.758564463813994,
        4.75858258214084,
        4.758600700467687,
        4.758618818794533,
        4.758636937121379,
        4.75865457865015,
        4.758672696976997,
        4.758690815303843,
        4.758708933630689,
        4.758727051957535,
        4.7587451702843815,
        4.758763288611227,
        4.758781406938073,
        4.758799525264919,
        4.758817643591766,
        4.758835761918612,
        4.758853880245458,
        4.758871998572304,
        4.758890116899151,
        4.758908235225997,
        4.758926353552843,
        4.758944471879689,
        4.758962590206536,
        4.758980231735307,
        4.758998350062153,
        4.759016468388999,
        4.7590345867158454,
        4.759052705042691,
        4.759070823369537,
        4.759088941696383,
        4.75910706002323,
        4.759125178350076,
        4.759143296676922,
        4.759160938205693,
        4.75917905653254,
        4.759197174859386,
        4.759215293186232,
        4.759233411513078,
        4.759251529839925,
        4.759269648166771,
        4.759287766493617,
        4.759305408022388,
        4.759323526349235,
        4.759341644676081,
        4.7593597630029265,
        4.7593778813297725,
        4.759395999656619,
        4.759414117983465,
        4.759431759512236,
        4.759449877839082,
        4.759467996165929,
        4.759486114492775,
        4.759504232819621,
        4.759522351146467,
        4.759539992675238,
        4.759558111002085,
        4.759576229328931,
        4.759594347655777,
        4.759612465982624,
        4.759630107511395,
        4.759648225838241,
        4.759666344165087,
        4.759684462491933,
        4.75970258081878,
        4.759720222347551,
        4.759738340674397,
        4.759756459001243,
        4.7597745773280895,
        4.7597926956549355,
        4.759810337183707,
        4.759828455510553,
        4.759846573837399,
        4.759864692164245,
        4.7598823336930165,
        4.7599004520198624,
        4.759918570346708,
        4.759936688673555,
        4.759954330202326,
        4.759972448529172,
        4.759990566856018,
        4.760008685182865,
        4.760026326711636,
        4.760044445038482,
        4.760062563365328,
        4.760080681692175,
        4.760098323220946,
        4.760116441547792,
        4.760134559874638,
        4.760152678201485,
        4.760170319730256,
        4.760188438057102,
        4.760206556383948,
        4.760224197912719,
        4.760242316239566,
        4.760260434566412,
        4.760278552893258,
        4.760296194422029,
        4.760314312748876,
        4.760332431075722,
        4.760350072604493,
        4.760368190931339,
        4.760386309258185,
        4.760655700170504,
        4.760673341699275,
        4.760691460026121,
        4.760709578352967,
        4.760727219881739,
        4.760745338208585,
        4.760762979737356,
        4.760781098064202,
        4.760799216391049,
        4.76081685791982,
        4.760834976246666,
        4.760853094573512,
        4.760870736102283,
        4.76088885442913,
        4.760906495957901,
        4.760924614284747,
        4.760942732611593,
        4.760960374140364,
        4.760978492467211,
        4.760996133995982,
        4.761014252322828,
        4.761031893851599,
        4.761050012178446,
        4.761068130505292,
        4.761085772034063,
        4.761103890360909,
        4.76112153188968,
        4.761139650216527,
        4.761157291745298,
        4.761175410072144,
        4.76119352839899,
        4.761211169927761,
        4.761229288254608,
        4.761246929783379,
        4.761265048110225,
        4.761282689638996,
        4.761300807965842,
        4.761318449494614,
        4.76133656782146,
        4.761354209350231,
        4.761372327677077,
        4.761389969205848,
        4.761408087532695,
        4.761426205859541,
        4.761443847388312,
        4.761461965715158,
        4.76147960724393,
        4.761497725570776,
        4.761515367099547,
        4.761533485426393,
        4.7615511269551645,
        4.761569245282011,
        4.7615868868107825,
        4.761605005137628,
        4.7616226466664,
        4.761640288195171,
        4.7616584065220176,
        4.761676048050789,
        4.761694166377635,
        4.761711807906406,
        4.761729926233252,
        4.761747567762024,
        4.76176568608887,
        4.761783327617641,
        4.761801445944487,
        4.761819087473258,
        4.763883146339499,
        4.766125527685751,
        4.766146983599121,
        4.766167962714417,
        4.766189418627787,
        4.766210397743083,
        4.766231853656453,
        4.766252832771749,
        4.7662742886851195,
        4.766295267800415,
        4.766316723713786,
        4.766337702829081,
        4.766359158742452,
        4.766380137857747,
        4.766401593771118,
        4.766422572886413,
        4.766444028799784,
        4.766465007915079,
        4.76648646382845,
        4.7665074429437455,
        4.766528422059041,
        4.766549877972412,
        4.766570857087707,
        4.766592313001078,
        4.766613292116373,
        4.766634748029744,
        4.766655727145039,
        4.76667718305841,
        4.7666981621737055,
        4.766719141289001,
        4.7667405972023715,
        4.766761576317666,
        4.766783032231038,
        4.766804011346332,
        4.766825467259704,
        4.766846446374998,
        4.766867425490294,
        4.7668888814036645,
        4.76690986051896,
        4.766931316432331,
        4.766952295547626,
        4.766973274662922,
        4.766994730576292,
        4.767015709691588,
        4.767037165604958,
        4.767058144720254,
        4.76707912383555,
        4.76710057974892,
        4.767121558864216,
        4.767142537979511,
        4.767163993892882,
        4.7671849730081775,
        4.767205952123473,
        4.7672274080368435,
        4.767248387152139,
        4.767269366267435,
        4.767290822180805,
        4.767311801296101,
        4.7673327804113965,
        4.767354236324767,
        4.767607416102538,
        4.767628872015909,
        4.767649851131204,
        4.7676708302465,
        4.7676918093617955,
        4.767713265275166,
        4.767734244390462,
        4.767755223505757,
        4.767776202621053,
        4.767797658534423,
        4.767818637649719,
        4.7678396167650146,
        4.76786059588031,
        4.767882051793681,
        4.767903030908976,
        4.767924010024272,
        4.7679449891395675,
        4.767965968254863,
        4.767987424168234,
        4.768008403283529,
        4.768029382398825,
        4.7680503615141205,
        4.768071340629415,
        4.768092796542787,
        4.768113775658081,
        4.768134754773377,
        4.768155733888673,
        4.768176713003968,
        4.768198168917339,
        4.768219148032634,
        4.76824012714793,
        4.768261106263226,
        4.768282085378521,
        4.768303064493817,
        4.768324520407187,
        4.768345499522483,
        4.768366478637779,
        4.768387457753074,
        4.76840843686837,
        4.7684294159836655,
        4.768450395098961,
        4.768471851012332,
        4.768492830127627,
        4.768513809242922,
        4.768534788358218,
        4.768555767473513,
        4.768576746588809,
        4.768597725704105,
        4.7686187048194,
        4.768639683934696,
        4.768661139848066,
        4.768682118963362,
        4.7687030980786576,
        4.768724077193953,
        4.768745056309249,
        4.7687660354245445,
        4.76878701453984,
        4.768807993655136,
        4.768828972770431,
        4.768849951885727,
        4.768870931001022,
        4.768891910116317,
        4.768912889231613,
        4.768933868346909,
        4.768954847462204,
        4.7689758265775,
        4.76899728249087,
        4.769018261606166,
        4.769039240721462,
        4.769060219836757,
        4.769081198952053,
        4.769102178067349,
        4.769123157182644,
        4.76914413629794,
        4.7691651154132355,
        4.769186094528531,
        4.769207073643827,
        4.7692280527591215,
        4.769249031874417,
        4.769270010989713,
        4.7692909901050085,
        4.769311969220304,
        4.7693329483356,
        4.769353927450895,
        4.769374906566191,
        4.769395885681487,
        4.7694163879987075,
        4.769437367114003,
        4.769458346229299,
        4.769479325344594,
        4.769500304459889,
        4.769521283575185,
        4.76954226269048,
        4.769563241805776,
        4.769584220921072,
        4.769605200036367,
        4.769626179151663,
        4.769647158266959,
        4.769668137382254,
        4.76968911649755,
        4.7697100956128455,
        4.769731074728141,
        4.769751577045362,
        4.769772556160657,
        4.769793535275952,
        4.769814514391248,
        4.769835493506544,
        4.769856472621839,
        4.769877451737135,
        4.769898430852431,
        4.769919409967726,
        4.769939912284947,
        4.769960891400243,
        4.769981870515538,
        4.770002849630834,
        4.77002382874613,
        4.770044807861424,
        4.77006578697672,
        4.770086289293941,
        4.7701072684092365,
        4.770128247524532,
        4.770149226639828,
        4.770170205755123,
        4.770191184870419,
        4.77021168718764,
        4.7702326663029355,
        4.770253645418231,
        4.770274624533527,
        4.7702956036488215,
        4.770316105966042,
        4.770337085081338,
        4.770358064196634,
        4.770379043311929,
        4.770400022427225,
        4.770420524744446,
        4.770441503859741,
        4.770462482975037,
        4.770483462090333,
        4.770504441205628,
        4.770524943522848,
        4.770545922638144,
        4.77056690175344,
        4.770587880868735,
        4.770608383185956,
        4.770629362301252,
        4.770650341416547,
        4.770671320531843,
        4.770691822849064,
        4.770712801964359,
        4.770733781079654,
        4.77075476019495,
        4.770775262512171,
        4.770796241627466,
        4.770817220742762,
        4.770838199858058,
        4.770858702175278,
        4.770879681290574,
        4.77090066040587,
        4.7709211627230905,
        4.770942141838385,
        4.770963120953681,
        4.770983623270902,
        4.771004602386197,
        4.771025581501493,
        4.771046083818714,
        4.7710670629340095,
        4.771088042049305,
        4.771109021164601,
        4.771129523481822,
        4.771150502597116,
        4.771171481712412,
        4.771191984029633,
        4.7712129631449285,
        4.771233465462149,
        4.771254444577445,
        4.771275423692741,
        4.771295926009961,
        4.771316905125257,
        4.771337884240553,
        4.771358386557773,
        4.771379365673068,
        4.771400344788364,
        4.771420847105585,
        4.77144182622088,
        4.771462328538101,
        4.771483307653397,
        4.7715042867686925,
        4.7715247890859125,
        4.771545768201208,
        4.771566270518429,
        4.771587249633725,
        4.77160822874902,
        4.771628731066241,
        4.771649710181537,
        4.771670212498758,
        4.771691191614053,
        4.771711693931273,
        4.771732673046569,
        4.771753652161864,
        4.771774154479085,
        4.771795133594381,
        4.771815635911602,
        4.771836615026897,
        4.771857117344118,
        4.771878096459414,
        4.771898598776634,
        4.771919577891929,
        4.77194008020915,
        4.771961059324446,
        4.771981561641667,
        4.772002540756962,
        4.772023043074183,
        4.772044022189479,
        4.772064524506699,
        4.7720855036219945,
        4.772106005939215,
        4.772126985054511,
        4.772147487371732,
        4.772168466487027,
        4.772188968804248,
        4.772209947919544,
        4.772230450236764,
        4.7722514293520595,
        4.77227193166928,
        4.772292910784576,
        4.772313413101797,
        4.772334392217092,
        4.772354894534313,
        4.772375873649609,
        4.772396375966829,
        4.7724173550821245,
        4.772437857399345,
        4.772458359716566,
        4.772479338831862,
        4.772499841149083,
        4.772520820264378,
        4.772541322581598,
        4.772562301696894,
        4.772582804014115,
        4.772603306331336,
        4.772624285446631,
        4.772644787763852,
        4.772665766879148,
        4.7726862691963685,
        4.7727067715135885,
        4.772727750628884,
        4.772748252946105,
        4.772769232061401,
        4.772789734378621,
        4.772810236695842,
        4.772831215811138,
        4.772851718128358,
        4.772872220445579,
        4.772893199560874,
        4.772913701878095,
        4.772934204195316,
        4.772955183310612,
        4.7729756856278325,
        4.772996664743128,
        4.773017167060348,
        4.773037669377569,
        4.7730586484928645,
        4.773079150810085,
        4.773099653127306,
        4.773244122944001,
        4.773265102059296,
        4.773285604376516,
        4.773306106693737,
        4.773327085809033,
        4.773347588126254,
        4.7733680904434745,
        4.773388592760695,
        4.773409571875991,
        4.773430074193211,
        4.773450576510432,
        4.773471078827653,
        4.773492057942948,
        4.773512560260169,
        4.77353306257739,
        4.773553564894611,
        4.7735745440099056,
        4.773595046327126,
        4.773615548644347,
        4.773636050961568,
        4.773657030076864,
        4.7736775323940845,
        4.7736980347113045,
        4.773718537028525,
        4.773739516143821,
        4.773760018461042,
        4.773780520778263,
        4.7738010230954835,
        4.773821525412704,
        4.773842504527999,
        4.77386300684522,
        4.773883509162441,
        4.773904011479662,
        4.773924513796882,
        4.773945016114103,
        4.773965995229398,
        4.773986497546619,
        4.77400699986384,
        4.7740275021810605,
        4.774048004498281,
        4.774068506815502,
        4.774089485930798,
        4.774109988248018,
        4.774130490565239,
        4.7741509928824595,
        4.77417149519968,
        4.774191997516901,
        4.774212976632197,
        4.774233478949417,
        4.774253981266638,
        4.774274483583858,
        4.774294985901079,
        4.7743154882183,
        4.77433599053552,
        4.774356492852741,
        4.774376995169962,
        4.774397974285257,
        4.774418476602478,
        4.774438978919699,
        4.77445948123692,
        4.77447998355414,
        4.774500485871361,
        4.7745209881885815,
        4.774541490505802,
        4.774561992823023,
        4.774582495140243,
        4.774602997457464,
        4.774623499774685,
        4.7746444788899804,
        4.774664981207201,
        4.774685483524422,
        4.774705985841642,
        4.774726488158863,
        4.774746990476084,
        4.774767492793305,
        4.774787995110525,
        4.774808497427746,
        4.774828999744966,
        4.774849502062187,
        4.774870004379408,
        4.774890506696629,
        4.77491100901385,
        4.77493151133107,
        4.77495201364829,
        4.774972515965511,
        4.774993018282732,
        4.775013520599953,
        4.775034022917174,
        4.775054525234394,
        4.7750750275516145,
        4.775095529868835,
        4.775116032186056,
        4.775136534503277,
        4.775157036820498,
        4.775177539137718,
        4.775198041454939,
        4.7752185437721595,
        4.77523904608938,
        4.775259548406601,
        4.775280050723821,
        4.775300553041042,
        4.775320578560188,
        4.775341080877409,
        4.77536158319463,
        4.77538208551185,
        4.7754025878290705,
        4.775423090146291,
        4.775443592463512,
        4.775464094780733,
        4.775484597097954,
        4.775505099415174,
        4.775525601732395,
        4.775546104049615,
        4.775566606366836,
        4.775586631885982,
        4.775607134203202,
        4.775627636520423,
        4.775648138837644,
        4.775668641154865,
        4.775689143472086,
        4.775709645789306,
        4.775730148106526,
        4.7757501736256724,
        4.775770675942893,
        4.775791178260114,
        4.775811680577334,
        4.775832182894555,
        4.775852685211776,
        4.775873187528997,
        4.775893213048143,
        4.775913715365363,
        4.775934217682583,
        4.775954719999804,
        4.775975222317025,
        4.775995724634246,
        4.776015750153391,
        4.776036252470612,
        4.776056754787833,
        4.776077257105054,
        4.776097759422274,
        4.776118261739495,
        4.77613828725864,
        4.776158789575861,
        4.776179291893082,
        4.776199794210303,
        4.776220296527524,
        4.776240322046669,
        4.77626082436389,
        4.776281326681111,
        4.7763018289983314,
        4.776321854517477,
        4.776342356834697,
        4.776362859151918,
        4.776403386988285,
        4.776627958881562,
        4.776647984400708,
        4.776668486717929,
        4.77668898903515,
        4.776709014554295,
        4.776729516871516,
        4.776750019188737,
        4.776770044707883,
        4.7767905470251035,
        4.7768110493423235,
        4.776831551659544,
        4.77685157717869,
        4.776872079495911,
        4.776892581813132,
        4.776912607332277,
        4.776933109649498,
        4.776953611966719,
        4.776973637485865,
        4.776994139803085,
        4.777014642120306,
        4.777034667639452,
        4.777055169956673,
        4.777075195475819,
        4.7770956977930386,
        4.777116200110259,
        4.777136225629405,
        4.777156727946626,
        4.777177230263847,
        4.777197255782992,
        4.777217758100213,
        4.777237783619359,
        4.77725828593658,
        4.7772787882538,
        4.777298813772946,
        4.777319316090167,
        4.777339341609313,
        4.777359843926533,
        4.777380346243754,
        4.7774003717629,
        4.7774208740801205,
        4.7774408995992665,
        4.7774614019164865,
        4.777481904233707,
        4.777501929752853,
        4.777522432070074,
        4.777542457589219,
        4.77756295990644,
        4.777582985425586,
        4.777603487742807,
        4.777623513261952,
        4.777644015579173,
        4.777664517896394,
        4.77768454341554,
        4.777705045732761,
        4.777725071251906,
        4.777745573569127,
        4.777765599088273,
        4.777786101405494,
        4.777806126924639,
        4.77782662924186,
        4.777846654761006,
        4.7778671570782265,
        4.777887182597372,
        4.7779076849145925,
        4.7779277104337385,
        4.777948212750959,
        4.777968238270105,
        4.777988740587325,
        4.778008766106471,
        4.778029268423692,
        4.778049293942838,
        4.778069796260058,
        4.778089821779204,
        4.778110324096425,
        4.778130349615571,
        4.778150375134716,
        4.778170877451937,
        4.778190902971083,
        4.778211405288304,
        4.778231430807449,
        4.77825193312467,
        4.778271958643816,
        4.778292460961037,
        4.778312486480182,
        4.778332511999328,
        4.778353014316549,
        4.778373039835695,
        4.778393542152916,
        4.778413567672061,
        4.778433593191207,
        4.778454095508428,
        4.778474121027573,
        4.778494623344794,
        4.77851464886394,
        4.778534674383086,
        4.778555176700307,
        4.778575202219452,
        4.778595704536673,
        4.778615730055819,
        4.778635755574964,
        4.778656257892185,
        4.778676283411331,
        4.778696308930477,
        4.778716811247698,
        4.778736836766843,
        4.778756862285989,
        4.77877736460321,
        4.778797390122355,
        4.778817892439576,
        4.778837917958722,
        4.778857943477868,
        4.778878445795089,
        4.778898471314234,
        4.77891849683338,
        4.778938999150601,
        4.778959024669746,
        4.778979050188892,
        4.778999075708038,
        4.779019578025259,
        4.779039603544404,
        4.77905962906355,
        4.779080131380771,
        4.779100156899917,
        4.779120182419062,
        4.779140684736283,
        4.779160710255429,
        4.779180735774575,
        4.77920076129372,
        4.779221263610941,
        4.779241289130087,
        4.779261314649233,
        4.779281340168378,
        4.779301842485599,
        4.779321868004745,
        4.779341893523891,
        4.779361919043036,
        4.779382421360257,
        4.779402446879403,
        4.779422472398548,
        4.779442497917694,
        4.779463000234915,
        4.779483025754061,
        4.779503051273206,
        4.779523076792352,
        4.779543579109573,
        4.779563604628719,
        4.779583630147864,
        4.77960365566701,
        4.779623681186156,
        4.779644183503377,
        4.779664209022522,
        4.779684234541668,
        4.779704260060814,
        4.7797242855799595,
        4.77974478789718,
        4.779764813416326,
        4.7797848389354725,
        4.779804864454618,
        4.779824889973764,
        4.77984491549291,
        4.7798654178101305,
        4.779885443329276,
        4.779905468848422,
        4.779925494367568,
        4.779945519886713,
        4.779965545405859,
        4.779985570925005,
        4.780006073242226,
        4.780026098761371,
        4.780046124280517,
        4.780066149799663,
        4.780086175318809,
        4.780106200837954,
        4.7801262263571,
        4.780146251876246,
        4.780166754193466,
        4.780186779712612,
        4.780206805231758,
        4.780226830750904,
        4.7802468562700495,
        4.780266881789196,
        4.780286907308342,
        4.780306932827487,
        4.780326958346633,
        4.780346983865779,
        4.780367009384925,
        4.780387511702145,
        4.780407537221291,
        4.780427562740437,
        4.780447588259583,
        4.780467613778728,
        4.780487639297874,
        4.78050766481702,
        4.780527690336165,
        4.780547715855311,
        4.780567741374457,
        4.7805877668936025,
        4.780607792412749,
        4.780627817931895,
        4.780647843451041,
        4.780667868970186,
        4.780687894489332,
        4.780707920008478,
        4.780727945527623,
        4.780747971046769,
        4.780767996565915,
        4.780788022085061,
        4.780808047604206,
        4.780828073123352,
        4.780848098642498,
        4.7808681241616435,
        4.78088814968079,
        4.780908175199936,
        4.780928200719082,
        4.780948226238227,
        4.780968251757373,
        4.780988277276519,
        4.781008302795664,
        4.78102832831481,
        4.781048353833956,
        4.781068379353101,
        4.781088404872247,
        4.781108430391393,
        4.781128455910539,
        4.7811484814296845,
        4.7811685069488306,
        4.781188532467977,
        4.781208557987122,
        4.781228106708193,
        4.781248132227339,
        4.781268157746484,
        4.78128818326563,
        4.781308208784776,
        4.781328234303922,
        4.781348259823067,
        4.7813682853422135,
        4.7813883108613595,
        4.781408336380505,
        4.781428361899651,
        4.781447910620722,
        4.781467936139867,
        4.781487961659013,
        4.781507987178159,
        4.781528012697305,
        4.78154803821645,
        4.781568063735596,
        4.781588089254742,
        4.781607637975813,
        4.781627663494959,
        4.781647689014105,
        4.78166771453325,
        4.781687740052396,
        4.781707765571542,
        4.781727791090688,
        4.7817473398117585,
        4.7817673653309045,
        4.781787390850051,
        4.781807416369196,
        4.781827441888342,
        4.781847467407488,
        4.781867016128558,
        4.781887041647704,
        4.78190706716685,
        4.781927092685995,
        4.781947118205141,
        4.781966666926213,
        4.781986692445358,
        4.782006717964504,
        4.78202674348365,
        4.782046769002796,
        4.782066317723866,
        4.782086343243012,
        4.782106368762158,
        4.7821263942813035,
        4.782145943002375,
        4.782165968521521,
        4.782185994040666,
        4.782206019559812,
        4.782226045078958,
        4.782245593800028,
        4.782265619319174,
        4.78228564483832,
        4.782305670357466,
        4.782325219078537,
        4.782345244597683,
        4.782365270116828,
        4.782384818837899,
        4.782404844357045,
        4.78242486987619,
        4.7824448953953365,
        4.782464444116408,
        4.782484469635553,
        4.782504495154699,
        4.78252404387577,
        4.782544069394915,
        4.782564094914061,
        4.782584120433207,
        4.782603669154278,
        4.782623694673424,
        4.78264372019257,
        4.78266326891364,
        4.782683294432786,
        4.782703319951932,
        4.782722868673003,
        4.782742894192149,
        4.782762919711295,
        4.782782468432366,
        4.782802493951511,
        4.782822519470657,
        4.782842068191728,
        4.7828620937108735,
        4.782981293229598,
        4.7830008419506695,
        4.783020867469816,
        4.783040892988961,
        4.783060441710032,
        4.783080467229178,
        4.783100492748323,
        4.783120041469394,
        4.78314006698854,
        4.783159615709611,
        4.783179641228757,
        4.783199666747903,
        4.783219215468973,
        4.783239240988119,
        4.7832587897091905,
        4.783278815228336,
        4.783298363949407,
        4.783318389468553,
        4.783338414987698,
        4.783357963708769,
        4.783377989227915,
        4.783397537948986,
        4.783417563468132,
        4.783437112189202,
        4.783457137708348,
        4.783476686429419,
        4.7834967119485645,
        4.7835167374677106,
        4.783536286188782,
        4.783556311707927,
        4.783575860428998,
        4.783595885948144,
        4.783615434669215,
        4.783635460188361,
        4.783655008909432,
        4.783675034428577,
        4.783694583149648,
        4.783714608668794,
        4.783734157389865,
        4.784445540117615,
        4.784504663078902,
        4.784524211799973,
        4.784544237319119,
        4.78456378604019,
        4.784583811559336,
        4.784603360280407,
        4.784622909001477,
        4.784642934520623,
        4.784662483241695,
        4.784682031962765,
        4.784702057481911,
        4.784721606202981,
        4.784977646769203,
        4.785016744211345,
        4.785036769730491,
        4.785056318451561,
        4.785075867172632,
        4.7850958926917775,
        4.785115441412849,
        4.78513499013392,
        4.78515453885499,
        4.785174564374136,
        4.785194113095208,
        4.785213661816278,
        4.785233210537349,
        4.785253236056494,
        4.785272784777566,
        4.785292333498637,
        4.785311882219707,
        4.785331907738853,
        4.785351456459924,
        4.785371005180995,
        4.785390553902066,
        4.785410102623136,
        4.785430128142282,
        4.785449676863354,
        4.785469225584424,
        4.785488774305495,
        4.785508323026566,
        4.785528348545712,
        4.785547897266783,
        4.785567445987853,
        4.7855869947089245,
        4.785606543429996,
        4.785626568949141,
        4.785646117670212,
        4.785665666391282,
        4.785685215112354,
        4.785704763833425,
        4.785724312554495,
        4.785744338073641,
        4.7857638867947125,
        4.785783435515783,
        4.785802984236854,
        4.7858225329579245,
        4.785842081678996,
        4.785861630400067,
        4.785881655919212,
        4.785901204640283,
        4.785920753361354,
        4.785940302082425,
        4.785959850803496,
        4.7859793995245665,
        4.785998948245638,
        4.786018496966708,
        4.786038522485854,
        4.786058071206925,
        4.786077619927996,
        4.786097168649067,
        4.786116717370137,
        4.786136266091209,
        4.78615581481228,
        4.78617536353335,
        4.786194912254421,
        4.786214460975492,
        4.786234009696563,
        4.786253558417634,
        4.786273583936779,
        4.786293132657851,
        4.786312681378922,
        4.786332230099992,
        4.786351778821063,
        4.786371327542134,
        4.786390876263205,
        4.786410424984276,
        4.786429973705347,
        4.786449522426418,
        4.786469071147488,
        4.7864886198685594,
        4.786508168589631,
        4.786527717310701,
        4.786547266031772,
        4.786566814752843,
        4.786586363473914,
        4.786605912194985,
        4.7866254609160555,
        4.786645009637127,
        4.786664558358197,
        4.786684107079268,
        4.7867036558003395,
        4.78672320452141,
        4.786742753242481,
        4.7867623019635515,
        4.786781850684623,
        4.786801399405693,
        4.786820948126764,
        4.7868404968478355,
        4.786860045568906,
        4.786879594289977,
        4.7868991430110475,
        4.786918691732119,
        4.78693824045319,
        4.78695778917426,
        4.7869773378953315,
        4.786996886616402,
        4.787016435337473,
        4.787035984058544,
        4.787055532779615,
        4.787074604702611,
        4.7870941534236815,
        4.787113702144753,
        4.787133250865824,
        4.787152799586894,
        4.787172348307966,
        4.787191897029036,
        4.787211445750107,
        4.787230994471178,
        4.787250543192249,
        4.78727009191332,
        4.78728964063439,
        4.787308712557387,
        4.787328261278457,
        4.787347809999528,
        4.7873673587206,
        4.78738690744167,
        4.787406456162741,
        4.7874260048838115,
        4.787445553604883,
        4.787464625527878,
        4.78748417424895,
        4.787503722970021,
        4.787523271691091,
        4.787542820412162,
        4.787562369133233,
        4.787581917854304,
        4.7876009897772995,
        4.787620538498371,
        4.787640087219442,
        4.787659635940512,
        4.787679184661584,
        4.787698733382654,
        4.78771780530565,
        4.787737354026722,
        4.787756902747792,
        4.787776451468863,
        4.787796000189934,
        4.78781507211293,
        4.787834620834,
        4.787854169555072,
        4.787873718276143,
        4.787893266997213,
        4.78791233892021,
        4.78793188764128,
        4.787951436362351,
        4.787970985083422,
        4.787990533804493,
        4.788009605727489,
        4.78802915444856,
        4.788048703169631,
        4.788068251890701,
        4.788087323813698,
        4.788106872534768,
        4.788126421255839,
        4.78814596997691,
        4.788165041899906,
        4.788184590620977,
        4.788204139342048,
        4.788223688063119,
        4.788242759986114,
        4.788262308707186,
        4.788281857428257,
        4.788301406149327,
        4.788320478072324,
        4.788340026793394,
        4.788359575514465,
        4.788378647437461,
        4.788398196158532,
        4.788417744879603,
        4.788437293600674,
        4.78845636552367,
        4.78847591424474,
        4.788495462965812,
        4.788514534888807,
        4.788534083609878,
        4.788553632330949,
        4.788572704253945,
        4.7885922529750165,
        4.788611801696087,
        4.788630873619083,
        4.788650422340154,
        4.788669971061225,
        4.78868904298422,
        4.788708591705292,
        4.788728140426363,
        4.788747212349358,
        4.78876676107043,
        4.7887863097915,
        4.788805381714496,
        4.788824930435567,
        4.788844002358563,
        4.788863551079634,
        4.788883099800705,
        4.7889021717237,
        4.788921720444772,
        4.788941269165843,
        4.788960341088838,
        4.78897988980991,
        4.788998961732905,
        4.789018510453976,
        4.789038059175047,
        4.789057131098043,
        4.789076679819114,
        4.78909575174211,
        4.789115300463181,
        4.789134849184252,
        4.789153921107248,
        4.789173469828318,
        4.789192541751315,
        4.789212090472385,
        4.789231162395382,
        4.789250711116452,
        4.789270259837523,
        4.789289331760519,
        4.78930888048159,
        4.789327952404586,
        4.789347501125657,
        4.789366573048653,
        4.789386121769724,
        4.78940519369272,
        4.78942474241379,
        4.789443814336787,
        4.789463363057857,
        4.789482434980854,
        4.789501983701924,
        4.789521532422995,
        4.789540604345992,
        4.789560153067062,
        4.789579224990058,
        4.789598773711129,
        4.789617845634125,
        4.7896373943551955,
        4.789656466278192,
        4.789676014999262,
        4.789695086922259,
        4.789714635643329,
        4.7897337075663255,
        4.789752779489321,
        4.789772328210392,
        4.789791400133389,
        4.789810948854459,
        4.789830020777456,
        4.789849569498526,
        4.789868641421522,
        4.789888190142593,
        4.789907262065589,
        4.7899268107866595,
        4.789945882709656,
        4.789965431430726,
        4.789984503353723,
        4.790003575276718,
        4.7900231239977895,
        4.790042195920786,
        4.7904469974863755,
        4.790466069409371,
        4.7904851413323675,
        4.790504690053438,
        4.790523761976434,
        4.79054283389943,
        4.790562382620501,
        4.790581454543497,
        4.790600526466493,
        4.790620075187563,
        4.79063914711056,
        4.790658219033555,
        4.790677767754627,
        4.790696839677622,
        4.790715911600619,
        4.79073546032169,
        4.790754532244685,
        4.790773604167681,
        4.790792676090677,
        4.790812224811749,
        4.790831296734744,
        4.790850368657741,
        4.790869917378811,
        4.790888989301807,
        4.790908061224803,
        4.790927133147799,
        4.79094668186887,
        4.790965753791866,
        4.790984825714862,
        4.791004374435933,
        4.7910234463589285,
        4.791042518281925,
        4.7910615902049205,
        4.791100210848987,
        4.791119282771984,
        4.791138354694979,
        4.7911579034160505,
        4.791176975339046,
        4.7911960472620425,
        4.791215119185038,
        4.791234667906109,
        4.791253739829105,
        4.791272811752101,
        4.791291883675097,
        4.791310955598093,
        4.791330504319164,
        4.79134957624216,
        4.791368648165156,
        4.791387720088152,
        4.791406792011148,
        4.791426340732219,
        4.791445412655214,
        4.791464484578211,
        4.791483556501206,
        4.791502628424203,
        4.791522177145273,
        4.79154124906827,
        4.791560320991265,
        4.791579392914262,
        4.791598464837257,
        4.791617536760254,
        4.791637085481325,
        4.79165615740432,
        4.791675229327316,
        4.791694301250312,
        4.791713373173308,
        4.791732445096304,
        4.7917515170193,
        4.791771065740371,
        4.791790137663367,
        4.791809209586363,
        4.791828281509359,
        4.791847353432355,
        4.791866425355351,
        4.791885497278347,
        4.791904569201343,
        4.791924117922414,
        4.7919431898454095,
        4.791962261768406,
        4.7919813336914014,
        4.792000405614398,
        4.792019477537393,
        4.79203854946039,
        4.792057621383385,
        4.792076693306382,
        4.792095765229377,
        4.792115313950449,
        4.792134385873444,
        4.792153457796441,
        4.792172529719436,
        4.792191601642433,
        4.792210673565428,
        4.792229745488425,
        4.79224881741142,
        4.792267889334417,
        4.792286961257412,
        4.792306033180409,
        4.792325105103404,
        4.792344177026401,
        4.792363248949396,
        4.792382320872393,
        4.792401392795388,
        4.792420464718385,
        4.79243953664138,
        4.7924586085643766,
        4.792477680487372,
        4.7924967524103685,
        4.792515824333364,
        4.7925348962563605,
        4.792553968179356,
        4.7925730401023525,
        4.792592112025348,
        4.7926111839483445,
        4.79263025587134,
        4.7926493277943365,
        4.792668399717332,
        4.792687471640328,
        4.792706543563324,
        4.792763759332312,
        4.792782831255308,
        4.792801903178304,
        4.7928209751013,
        4.792840047024296,
        4.792859118947292,
        4.7928781908702875,
        4.792897262793284,
        4.7929163347162795,
        4.792935406639276,
        4.7929544785622715,
        4.792973550485268,
        4.7929926224082635,
        4.79301169433126,
        4.7930307662542555,
        4.793049361379177,
        4.793068433302173,
        4.793087505225169,
        4.793106577148165,
        4.793125649071161,
        4.793144720994157,
        4.793163792917152,
        4.793182864840149,
        4.793201936763144,
        4.793221008686141,
        4.793240080609136,
        4.793258675734058,
        4.793277747657053,
        4.79329681958005,
        4.793315891503045,
        4.793334963426042,
        4.793354035349037,
        4.793373107272034,
        4.793392179195029,
        4.793410774319951,
        4.7934298462429465,
        4.793448918165943,
        4.7934679900889385,
        4.793487062011934,
        4.7935061339349305,
        4.793524729059851,
        4.793543800982848,
        4.793562872905843,
        4.79358194482884,
        4.793601016751835,
        4.793620088674832,
        4.793638683799752,
        4.793657755722749,
        4.793676827645744,
        4.793695899568741,
        4.793714971491736,
        4.793734043414733,
        4.793752638539654,
        4.793771710462649,
        4.793790782385646,
        4.793809854308641,
        4.793828926231638,
        4.793847521356558,
        4.793866593279555,
        4.79388566520255,
        4.793904737125547,
        4.7939233322504675,
        4.793942404173464,
        4.7939614760964595,
        4.793980548019456,
        4.7939996199424515,
        4.794018215067372,
        4.794037286990369,
        4.794056358913364,
        4.794075430836361,
        4.794094025961281,
        4.794113097884278,
        4.794132169807273,
        4.79415124173027,
        4.794169836855191,
        4.794188908778187,
        4.794207980701183,
        4.794226575826103,
        4.7942456477491,
        4.794264719672095,
        4.794283791595092,
        4.7943023867200125,
        4.794321458643009,
        4.7943405305660045,
        4.794359125690926,
        4.794378197613922,
        4.794397269536918,
        4.794416341459914,
        4.794434936584834,
        4.794454008507831,
        4.794473080430826,
        4.794491675555748,
        4.794510747478744,
        4.79452981940174,
        4.794548414526661,
        4.794567486449657,
        4.794586558372653,
        4.7946051534975735,
        4.79462422542057,
        4.7946432973435655,
        4.794737703362396,
        4.794756298487317,
        4.794775370410313,
        4.794794442333309,
        4.79481303745823,
        4.794832109381226,
        4.794851181304222,
        4.7948697764291435,
        4.794888848352139,
        4.79490744347706,
        4.794926515400056,
        4.794945587323052,
        4.794964182447973,
        4.794983254370969,
        4.795001849495891,
        4.795020921418886,
        4.795039993341883,
        4.795058588466803,
        4.795077660389799,
        4.7950962555147205,
        4.795115327437716,
        4.795133922562638,
        4.795152994485633,
        4.79517206640863,
        4.7951906615335504,
        4.795209733456547,
        4.795228328581468,
        4.795247400504463,
        4.795265995629385,
        4.79528506755238,
        4.795304139475377,
        4.795322734600298,
        4.795341806523294,
        4.795360401648215,
        4.79537947357121,
        4.795398068696132,
        4.7954171406191275,
        4.795435735744049,
        4.795454807667045,
        4.795473402791966,
        4.795492474714962,
        4.795511069839883,
        4.795530141762879,
        4.7955487368878,
        4.795567808810796,
        4.795586403935717,
        4.795605475858713,
        4.795624070983634,
        4.79564314290663,
        4.795661738031551,
        4.795680809954547,
        4.795699405079469,
        4.795718477002464,
        4.795737072127386,
        4.795756144050381,
        4.795774739175302,
        4.7957938110982985,
        4.795812406223219,
        4.795831001348141,
        4.795850073271136,
        4.795868668396057,
        4.795887740319054,
        4.795906335443974,
        4.795925407366971,
        4.795944002491892,
        4.795963074414888,
        4.795981669539809,
        4.7960002646647295,
        4.796019336587726,
        4.796037931712647,
        4.796057003635643,
        4.796075598760564,
        4.79609467068356,
        4.796113265808481,
        4.796131860933402,
        4.796150932856398,
        4.796169527981319,
        4.7961885999043155,
        4.796207195029236,
        4.796225790154157,
        4.796244862077153,
        4.796263457202074,
        4.796282052326996,
        4.796301124249991,
        4.796319719374913,
        4.7963387912979085,
        4.796357386422829,
        4.796375981547751,
        4.7963950534707465,
        4.796413648595668,
        4.796432243720589,
        4.796451315643584,
        4.796469910768506,
        4.796488505893427,
        4.796507577816423,
        4.796526172941344,
        4.796544768066265,
        4.796563839989261,
        4.796582435114182,
        4.796601030239104,
        4.796620102162099,
        4.796638697287021,
        4.7966572924119415,
        4.796676364334937,
        4.796694959459859,
        4.796713554584779,
        4.796732626507776,
        4.796751221632697,
        4.796769816757617,
        4.796788888680614,
        4.796807483805535,
        4.796826078930456,
        4.796844674055377,
        4.7968637459783725,
        4.796882341103294,
        4.796900936228215,
        4.796920008151211,
        4.796938603276132,
        4.796957198401053,
        4.7969757935259745,
        4.79699486544897,
        4.797013460573892,
        4.797032055698812,
        4.797050650823733,
        4.79706972274673,
        4.79708831787165,
        4.797106912996572,
        4.797125508121493,
        4.797144580044488,
        4.79716317516941,
        4.797181770294331,
        4.797200365419252,
        4.797219437342248,
        4.797238032467169,
        4.79725662759209,
        4.797275222717011,
        4.797293817841933,
        4.797312889764928,
        4.797331484889849,
        4.797350080014771,
        4.797368675139691,
        4.797387270264613,
        4.7974063421876085,
        4.797424937312529,
        4.797443532437451,
        4.797462127562372,
        4.797480722687293,
        4.797499794610289,
        4.79751838973521,
        4.797536984860131,
        4.797555579985052,
        4.797574175109974,
        4.797592770234894,
        4.79761184215789,
        4.797630437282812,
        4.797649032407732,
        4.797667627532653,
        4.797686222657575,
        4.7977048177824955,
        4.797723412907417,
        4.797742484830413,
        4.797761079955333,
        4.797779675080255,
        4.797798270205176,
        4.797816865330097,
        4.797835460455018,
        4.797854055579939,
        4.797872650704861,
        4.797891722627856,
        4.797910317752778,
        4.7979289128776985,
        4.797947508002619,
        4.797966103127541,
        4.797984698252462,
        4.798003293377382,
        4.798021888502304,
        4.798040483627225,
        4.798059078752146,
        4.798077673877067,
        4.798096745800063,
        4.798115340924984,
        4.798133936049905,
        4.798152531174826,
        4.7981711262997475,
        4.798189721424668,
        4.79820831654959,
        4.798226911674511,
        4.798245506799431,
        4.798264101924353,
        4.798375672673879,
        4.7983942677988,
        4.798412862923722,
        4.7984314580486425,
        4.798450053173563,
        4.798468648298485,
        4.798487243423406,
        4.798506315346402,
        4.798524910471323,
        4.7985435055962435,
        4.798562100721165,
        4.798580695846086,
        4.798599290971008,
        4.7986174092978535,
        4.798636004422774,
        4.798654599547696,
        4.798673194672617,
        4.798691789797537,
        4.798710384922459,
        4.79872898004738,
        4.7987475751723006,
        4.798766170297222,
        4.798784765422143,
        4.798803360547065,
        4.798821955671985,
        4.798840550796906,
        4.798859145921828,
        4.7988777410467485,
        4.798896336171669,
        4.798914931296591,
        4.798933526421512,
        4.798952121546433,
        4.798970716671354,
        4.798989311796275,
        4.799007906921196,
        4.799026502046117,
        4.799044620372963,
        4.799063215497885,
        4.7990818106228055,
        4.799100405747726,
        4.799119000872648,
        4.799137595997569,
        4.799156191122489,
        4.799174786247411,
        4.799193381372332,
        4.799211976497253,
        4.799230094824099,
        4.79924868994902,
        4.799267285073942,
        4.7992858801988625,
        4.799304475323783,
        4.799323070448705,
        4.799341665573626,
        4.799360260698546,
        4.799378379025393,
        4.799396974150314,
        4.799415569275235,
        4.799434164400156,
        4.799452759525077,
        4.799471354649999,
        4.7994899497749195,
        4.7995080681017654,
        4.799526663226687,
        4.799545258351608,
        4.799563853476529,
        4.79958244860145,
        4.799601043726371,
        4.799619162053217,
        4.799637757178139,
        4.799656352303059,
        4.79967494742798,
        4.799693542552902,
        4.7997121376778225,
        4.799730256004668,
        4.79974885112959,
        4.799767446254511,
        4.799786041379432,
        4.799804636504353,
        4.799822754831199,
        4.799841349956121,
        4.7998599450810415,
        4.799878540205962,
        4.799896658532809,
        4.79991525365773,
        4.799933848782651,
        4.799952443907572,
        4.799971039032493,
        4.799989157359339,
        4.800007752484261,
        4.800026347609181,
        4.800044942734102,
        4.800063061060949,
        4.80008165618587,
        4.80010025131079,
        4.800118846435712,
        4.800136964762558,
        4.800155559887479,
        4.8001741550124,
        4.800192750137321,
        4.800210868464167,
        4.800229463589089,
        4.8002480587140095,
        4.8002661770408555,
        4.800284772165777,
        4.800303367290698,
        4.8003219624156195,
        4.800340080742465,
        4.800358675867386,
        4.800377270992308,
        4.800395389319154,
        4.8004139844440745,
        4.800432579568996,
        4.800450697895842,
        4.800469293020763,
        4.8004878881456845,
        4.8005060064725305,
        4.800524601597451,
        4.800543196722373,
        4.800561315049219,
        4.8005799101741395,
        4.800598505299061,
        4.800616623625907,
        4.800635218750828,
        4.8006538138757495,
        4.8006719322025955,
        4.800690527327516,
        4.800709122452438,
        4.800727240779284,
        4.800745835904205,
        4.800764431029126,
        4.800782549355972,
        4.800801144480893,
        4.8008197396058145,
        4.8008378579326605,
        4.800856453057581,
        4.800874571384428,
        4.800893166509349,
        4.80091176163427,
        4.800929879961116,
        4.800948475086037,
        4.800966593412883,
        4.800985188537805,
        4.8010037836627255,
        4.8010219019895715,
        4.801040497114493,
        4.801058615441339,
        4.80107721056626,
        4.801095805691181,
        4.801113924018027,
        4.801132519142948,
        4.801150637469794,
        4.801169232594716,
        4.801187350921562,
        4.801205946046482,
        4.801224541171404,
        4.80124265949825,
        4.801261254623171,
        4.801279372950018,
        4.801297968074938,
        4.801316086401784,
        4.801334681526706,
        4.801352799853552,
        4.801371394978473,
        4.8013895133053195,
        4.80140810843024,
        4.801426703555161,
        4.801444821882008,
        4.801463417006929,
        4.8014815353337745,
        4.801500130458696,
        4.801518248785542,
        4.801536843910463,
        4.80155496223731,
        4.8015735573622305,
        4.801591675689076,
        4.801610270813998,
        4.801628389140844,
        4.801646984265765,
        4.801665102592611,
        4.801683697717532,
        4.801701816044378,
        4.801720411169299,
        4.801738529496146,
        4.801756647822992,
        4.801775242947913,
        4.801793361274759,
        4.80181195639968,
        4.801830074726526,
        4.801848669851448,
        4.8019950468604415,
        4.802013641985362,
        4.802031760312209,
        4.80205035543713,
        4.802068473763976,
        4.802086592090823,
        4.802105187215743,
        4.802123305542589,
        4.802141900667511,
        4.802160018994357,
        4.802178137321203,
        4.802196732446124,
        4.8022148507729705,
        4.802233445897891,
        4.802251564224737,
        4.802269682551584,
        4.802288277676505,
        4.802306396003351,
        4.802324991128272,
        4.802343109455118,
        4.802361227781964,
        4.802379822906885,
        4.802397941233732,
        4.802416059560578,
        4.802434654685499,
        4.802452773012345,
        4.802470891339191,
        4.802489486464112,
        4.802507604790959,
        4.80252619991588,
        4.802544318242726,
        4.802562436569572,
        4.802581031694493,
        4.802599150021339,
        4.802617268348185,
        4.802635863473107,
        4.802726931905412,
        4.802745050232258,
        4.80276364535718,
        4.802781763684026,
        4.802799882010872,
        4.802818477135793,
        4.802836595462639,
        4.802854713789485,
        4.803055445779018,
        4.803073564105865,
        4.803092159230785,
        4.803110277557631,
        4.803128395884477,
        4.803146514211324,
        4.803165109336245,
        4.803183227663091,
        4.803201345989938,
        4.803219464316784,
        4.803238059441704,
        4.803256177768551,
        4.803274296095397,
        4.803292414422243,
        4.803311009547164,
        4.803329127874011,
        4.803347246200857,
        4.803365364527703,
        4.8033834828545485,
        4.80340207797947,
        4.803420196306316,
        4.803438314633162,
        4.803456432960009,
        4.803474551286855,
        4.803493146411776,
        4.803511264738622,
        4.803529383065468,
        4.803547501392314,
        4.80356561971916,
        4.803583738046007,
        4.803602333170928,
        4.803620451497774,
        4.80363856982462,
        4.803656688151467,
        4.803674806478313,
        4.8036929248051585,
        4.8037110431320045,
        4.803729638256926,
        4.803747756583772,
        4.803765874910618,
        4.803783993237465,
        4.803802111564311,
        4.803820229891157,
        4.803838348218003,
        4.803856943342924,
        4.80387506166977,
        4.803893179996616,
        4.803911298323463,
        4.803929416650309,
        4.803947534977155,
        4.803965653304001,
        4.803983771630848,
        4.804001889957694,
        4.8040204850826145,
        4.804038603409461,
        4.804056721736307,
        4.804074840063153,
        4.804092958389999,
        4.804111076716846,
        4.804129195043692,
        4.804147313370538,
        4.804165431697384,
        4.804183550024231,
        4.804201668351077,
        4.804219786677923,
        4.804238381802843,
        4.80425650012969,
        4.804274618456536,
        4.804292736783382,
        4.804310855110229,
        4.804328973437075,
        4.804347091763921,
        4.804365210090767,
        4.804383328417614,
        4.80440144674446,
        4.8044195650713055,
        4.8044376833981515,
        4.804455801724998,
        4.804473920051844,
        4.80449203837869,
        4.804510156705536,
        4.804528275032383,
        4.804546393359229,
        4.804564511686075,
        4.804582630012921,
        4.804600748339768,
        4.804618866666614,
        4.80463698499346,
        4.8046551033203055,
        4.804673221647152,
        4.804691339973998,
        4.804709458300844,
        4.804727576627691,
        4.804745694954537,
        4.804763813281383,
        4.804781931608229,
        4.804800049935076,
        4.804818168261922,
        4.804836286588768,
        4.804854404915614,
        4.8048725232424605,
        4.8048906415693065,
        4.804908759896152,
        4.804926878222998,
        4.804944996549845,
        4.804963114876691,
        4.804981233203537,
        4.804999351530383,
        4.805016993059155,
        4.805035111386001,
        4.805053229712847,
        4.805071348039693,
        4.80508946636654,
        4.805107584693386,
        4.805125703020232,
        4.805143821347078,
        4.8051619396739245,
        4.80518005800077,
        4.805198176327616,
        4.805216294654462,
        4.805233936183234,
        4.80525205451008,
        4.805270172836926,
        4.805288291163772,
        4.805306409490619,
        4.805324527817465,
        4.805342646144311,
        4.805360764471157,
        4.805378882798004,
        4.805396524326775,
        4.805414642653621,
        4.805432760980467,
        4.805450879307314,
        4.80546899763416,
        4.805577230797161,
        4.805595349124008,
        4.805613467450854,
        4.805631108979625,
        4.805649227306471,
        4.805667345633317,
        4.805685463960164,
        4.80570358228701,
        4.805721700613856,
        4.805739342142627,
        4.805757460469474,
        4.808190084247611,
        4.810839174351753,
        4.810860153467048,
        4.810881609380419,
        4.81090306529379,
        4.81092452120716,
        4.8109459771205305,
        4.810967433033901,
        4.810988888947271,
        4.811010344860642,
        4.8110313239759375,
        4.81116005945616,
        4.811181038571456,
        4.811202494484826,
        4.811223950398197,
        4.811245406311567,
        4.8112668622249375,
        4.811288318138308,
        4.811309297253604,
        4.811330753166974,
        4.8113522090803444,
        4.811373664993715,
        4.811565814617899,
        4.81158727053127,
        4.81160872644464,
        4.811629705559936,
        4.811651161473306,
        4.811672617386677,
        4.811694073300048,
        4.812911577184304,
        4.8147698976812245,
        4.81479087679652,
        4.814811855911816,
        4.8148328350271115,
        4.814853814142406,
        4.8148752700557775,
        4.814896249171072,
        4.814917228286368,
        4.814938207401664,
        4.814959186516959,
        4.81498064243033,
        4.815001621545625,
        4.815022600660921,
        4.8150435797762166,
        4.815064558891512,
        4.815085538006808,
        4.815106993920178,
        4.815127973035474,
        4.8151489521507695,
        4.815169931266065,
        4.815190910381361,
        4.8152118894966565,
        4.815233345410027,
        4.8152543245253225,
        4.815275303640618,
        4.815296282755914,
        4.815317261871209,
        4.815338240986504,
        4.8153592201018,
        4.81538067601517,
        4.815401655130466,
        4.815422634245762,
        4.815443613361057,
        4.815464592476353,
        4.8154855715916485,
        4.815506550706944,
        4.81552752982224,
        4.815548508937535,
        4.815569488052831,
        4.8155909439662015,
        4.815611923081497,
        4.815632902196793,
        4.815653881312088,
        4.815674860427384,
        4.815695839542679,
        4.815716818657974,
        4.81573779777327,
        4.815758776888566,
        4.815779756003861,
        4.815800735119157,
        4.815821714234453,
        4.815842693349748,
        4.815863672465044,
        4.8158846515803395,
        4.815905630695635,
        4.815926609810931,
        4.815947588926226,
        4.815968568041522,
        4.815989547156818,
        4.8160105262721125,
        4.816031505387408,
        4.816052484502704,
        4.816073463617999,
        4.816094442733295,
        4.816115421848591,
        4.816136400963886,
        4.816157380079182,
        4.816178359194478,
        4.816199338309773,
        4.816220317425069,
        4.8162412965403645,
        4.81626227565566,
        4.816283254770956,
        4.816304233886251,
        4.816325213001546,
        4.816346192116842,
        4.816367171232137,
        4.816388150347433,
        4.816409129462729,
        4.816430108578024,
        4.81645108769332,
        4.816472066808616,
        4.816493045923911,
        4.816514025039207,
        4.8165350041545025,
        4.816555983269798,
        4.816576485587019,
        4.816597464702314,
        4.816618443817609,
        4.816639422932905,
        4.816660402048201,
        4.816681381163496,
        4.816702360278792,
        4.816723339394088,
        4.816744318509383,
        4.816765297624679,
        4.8167857999419,
        4.816806779057195,
        4.816827758172491,
        4.816848737287787,
        4.816869716403082,
        4.816890695518377,
        4.816911674633673,
        4.8169321769508935,
        4.816953156066189,
        4.816974135181485,
        4.81699511429678,
        4.817016093412076,
        4.817037072527372,
        4.817058051642667,
        4.817078553959888,
        4.817099533075184,
        4.8171205121904785,
        4.817141491305774,
        4.81716247042107,
        4.817182972738291,
        4.817203951853586,
        4.817224930968882,
        4.817245910084178,
        4.817266889199473,
        4.817287391516694,
        4.81730837063199,
        4.817329349747285,
        4.817350328862581,
        4.817371307977876,
        4.8173918102950966,
        4.817412789410392,
        4.817433768525688,
        4.8174547476409835,
        4.817475249958204,
        4.8174962290735,
        4.817517208188796,
        4.817538187304091,
        4.817558689621312,
        4.817579668736607,
        4.8176006478519025,
        4.817621626967198,
        4.817642129284419,
        4.817663108399715,
        4.81768408751501,
        4.817705066630306,
        4.817725568947527,
        4.817746548062822,
        4.817767527178118,
        4.817788029495338,
        4.8178090086106335,
        4.817829987725929,
        4.817850966841225,
        4.817871469158446,
        4.817892448273741,
        4.817913427389037,
        4.817933929706258,
        4.817954908821553,
        4.817975887936849,
        4.817996390254069,
        4.818017369369365,
        4.81803834848466,
        4.818058850801881,
        4.818079829917177,
        4.818100809032472,
        4.818121311349693,
        4.818142290464989,
        4.8181632695802845,
        4.8181837718975045,
        4.8182047510128,
        4.818225253330021,
        4.818246232445317,
        4.818267211560612,
        4.818287713877833,
        4.818308692993129,
        4.818329672108424,
        4.818350174425645,
        4.818371153540941,
        4.818391655858161,
        4.818412634973456,
        4.818433614088752,
        4.818454116405973,
        4.8184750955212685,
        4.818495597838489,
        4.818516576953785,
        4.818537079271006,
        4.818558058386301,
        4.818579037501596,
        4.818599539818817,
        4.818620518934113,
        4.8186410212513335,
        4.818662000366629,
        4.81868250268385,
        4.818703481799146,
        4.818724460914441,
        4.818744963231661,
        4.818765942346957,
        4.818786444664178,
        4.818807423779473,
        4.818827926096694,
        4.81884890521199,
        4.818869407529211,
        4.818890386644506,
        4.818910888961726,
        4.818931868077022,
        4.818952370394243,
        4.818973349509538,
        4.818993851826759,
        4.819014830942055,
        4.819035333259276,
        4.819056312374571,
        4.819076814691791,
        4.819097793807087,
        4.819118296124308,
        4.819139275239603,
        4.819159777556824,
        4.81918075667212,
        4.819201258989341,
        4.819222238104636,
        4.819242740421856,
        4.819263719537152,
        4.819284221854373,
        4.819304724171594,
        4.819325703286889,
        4.81934620560411,
        4.819367184719406,
        4.819387687036627,
        4.819408666151921,
        4.819429168469142,
        4.819449670786363,
        4.819470649901659,
        4.8194911522188795,
        4.819512131334175,
        4.819532633651396,
        4.819553135968616,
        4.8195741150839115,
        4.819594617401132,
        4.819615596516428,
        4.819636098833649,
        4.81965660115087,
        4.819677580266165,
        4.819698082583386,
        4.819719061698681,
        4.819739564015902,
        4.819760066333123,
        4.819781045448418,
        4.819801547765639,
        4.81982205008286,
        4.8198430291981555,
        4.8198635315153755,
        4.819884033832596,
        4.819905012947892,
        4.819925515265113,
        4.8199464943804085,
        4.819966996697629,
        4.81998749901485,
        4.82000800133207,
        4.820028980447366,
        4.820049482764587,
        4.820069985081807,
        4.820090964197103,
        4.820111466514324,
        4.820131968831545,
        4.8201529479468395,
        4.82017345026406,
        4.820193952581281,
        4.820214931696577,
        4.820235434013798,
        4.8202559363310185,
        4.820276438648239,
        4.820297417763534,
        4.820317920080755,
        4.820338422397976,
        4.820359401513271,
        4.820379903830492,
        4.8209363271839,
        4.820956829501121,
        4.820977331818341,
        4.820997834135562,
        4.8210183364527825,
        4.821038838770003,
        4.821059341087224,
        4.82108032020252,
        4.82110082251974,
        4.821121324836961,
        4.8211418271541815,
        4.821162329471402,
        4.821182831788623,
        4.821203334105843,
        4.821223836423064,
        4.82124481553836,
        4.82126531785558,
        4.821285820172801,
        4.821306322490022,
        4.821326824807243,
        4.821347327124463,
        4.821367829441684,
        4.821388331758905,
        4.821408834076125,
        4.821429336393346,
        4.821450315508642,
        4.821470817825862,
        4.821491320143083,
        4.8215118224603035,
        4.821532324777524,
        4.821552827094745,
        4.821573329411965,
        4.821593831729186,
        4.821614334046407,
        4.821634836363628,
        4.8216553386808485,
        4.821675840998069,
        4.821696343315289,
        4.82171684563251,
        4.821737347949731,
        4.821757850266952,
        4.821880864170276,
        4.821901366487497,
        4.821921868804717,
        4.821942371121938,
        4.821962873439158,
        4.821983375756379,
        4.8220038780736,
        4.822024380390821,
        4.822044882708041,
        4.822065385025262,
        4.822085887342483,
        4.822106389659703,
        4.822126891976924,
        4.822147394294144,
        4.822167896611365,
        4.822188398928586,
        4.822208901245807,
        4.8222294035630275,
        4.822249905880248,
        4.822270408197468,
        4.822290910514689,
        4.82231141283191,
        4.822331915149131,
        4.822352417466352,
        4.822372919783572,
        4.822392945302718,
        4.8224134476199385,
        4.822433949937159,
        4.82245445225438,
        4.8224749545716,
        4.822495456888821,
        4.822515959206042,
        4.822536461523263,
        4.8225569638404835,
        4.822577466157704,
        4.8225974916768495,
        4.82261799399407,
        4.822638496311291,
        4.822658998628512,
        4.822679500945733,
        4.822700003262953,
        4.822720505580174,
        4.82274053109932,
        4.8227610334165405,
        4.822781535733761,
        4.822802038050981,
        4.822822540368202,
        4.822843042685423,
        4.822863545002644,
        4.82288357052179,
        4.82290407283901,
        4.822924575156231,
        4.8229450774734515,
        4.822965579790672,
        4.822986082107893,
        4.823006107627038,
        4.823026609944259,
        4.82304711226148,
        4.823067614578701,
        4.823088116895922,
        4.823108142415067,
        4.823128644732288,
        4.8231491470495085,
        4.823169649366729,
        4.823189674885875,
        4.823210177203095,
        4.823230679520316,
        4.823251181837537,
        4.823271684154758,
        4.823291709673904,
        4.823312211991124,
        4.823332714308345,
        4.8233532166255655,
        4.8233732421447115,
        4.823393744461932,
        4.823414246779152,
        4.823434749096373,
        4.823454774615519,
        4.82347527693274,
        4.82349577924996,
        4.823516281567181,
        4.823536307086327,
        4.823556809403548,
        4.8235773117207685,
        4.823597337239914,
        4.8236178395571345,
        4.823638341874355,
        4.823658844191576,
        4.823678869710722,
        4.823699372027942,
        4.823719874345163,
        4.823739899864309,
        4.82376040218153,
        4.823780904498751,
        4.823800930017896,
        4.823821432335117,
        4.823841934652338,
        4.823861960171484,
        4.823882462488704,
        4.823902964805924,
        4.82392299032507,
        4.823943492642291,
        4.823963994959512,
        4.823984020478657,
        4.824004522795878,
        4.824025025113099,
        4.824045050632245,
        4.824065552949465,
        4.824085578468611,
        4.824106080785832,
        4.824126583103053,
        4.824146608622199,
        4.824167110939419,
        4.8241876132566395,
        4.8242076387757855,
        4.824228141093006,
        4.8242481666121515,
        4.824268668929372,
        4.824289171246593,
        4.824309196765739,
        4.82432969908296,
        4.824349724602105,
        4.824370226919326,
        4.824390252438472,
        4.824410754755693,
        4.824431257072913,
        4.824451282592059,
        4.82447178490928,
        4.824491810428426,
        4.824512312745647,
        4.824532338264792,
        4.824552840582013,
        4.824572866101159,
        4.8245933684183795,
        4.824613870735599,
        4.8246338962547455,
        4.824654398571966,
        4.824674424091112,
        4.824694926408332,
        4.824714951927478,
        4.824735454244699,
        4.824755479763845,
        4.824775982081066,
        4.824796007600211,
        4.824816509917432,
        4.824836535436578,
        4.824857037753799,
        4.824877063272944,
        4.824897565590165,
        4.824917591109311,
        4.824938093426532,
        4.824958118945677,
        4.824978621262898,
        4.824998646782044,
        4.825019149099265,
        4.82503917461841,
        4.825059676935631,
        4.825079702454777,
        4.825099727973923,
        4.825120230291143,
        4.825140255810289,
        4.8251607581275096,
        4.825180783646656,
        4.825201285963876,
        4.825221311483022,
        4.825241813800242,
        4.8252618393193885,
        4.825281864838534,
        4.8253023671557544,
        4.8253223926749005,
        4.825342894992121,
        4.825524555058658,
        4.825545057375878,
        4.825565082895024,
        4.82558510841417,
        4.825605610731391,
        4.825625636250536,
        4.825645661769682,
        4.825666164086903,
        4.825686189606049,
        4.825706215125194,
        4.825726717442415,
        4.825746742961561,
        4.825767245278782,
        4.825787270797927,
        4.825807296317073,
        4.825827798634294,
        4.82584782415344,
        4.825867849672585,
        4.825887875191731,
        4.825908377508952,
        4.825928403028097,
        4.825948428547243,
        4.825968930864464,
        4.82598895638361,
        4.826008981902755,
        4.826029484219976,
        4.826049509739122,
        4.826069535258268,
        4.826090037575488,
        4.826110063094634,
        4.82613008861378,
        4.826150114132926,
        4.826170616450146,
        4.826190641969292,
        4.826210667488438,
        4.8262306930075844,
        4.826251195324804,
        4.82627122084395,
        4.8262912463630965,
        4.8263112718822425,
        4.8263317741994625,
        4.8263517997186085,
        4.8263718252377545,
        4.8263918507569,
        4.8264123530741205,
        4.826432378593267,
        4.826452404112413,
        4.826472429631558,
        4.826492931948779,
        4.826512957467925,
        4.826532982987071,
        4.826553008506216,
        4.826573034025362,
        4.826593536342583,
        4.826613561861729,
        4.826633587380874,
        4.82665361290002,
        4.826673638419166,
        4.826694140736387,
        4.826714166255532,
        4.826734191774678,
        4.826754217293824,
        4.826774242812969,
        4.826794268332115,
        4.826814770649336,
        4.826834796168482,
        4.826854821687627,
        4.826874847206773,
        4.826894872725919,
        4.8269148982450645,
        4.8269349237642105,
        4.826955426081431,
        4.826975451600577,
        4.8269954771197225,
        4.827015502638869,
        4.827035528158015,
        4.827055553677161,
        4.827075579196306,
        4.827095604715452,
        4.827116107032673,
        4.827136132551818,
        4.827156158070964,
        4.82717618359011,
        4.827196209109256,
        4.827216234628401,
        4.827236260147547,
        4.827256285666693,
        4.827276311185838,
        4.827296336704984,
        4.82731636222413,
        4.827336864541351,
        4.827356890060496,
        4.827376915579642,
        4.8273969410987885,
        4.827416966617934,
        4.82743699213708,
        4.827457017656226,
        4.827477043175372,
        4.827497068694517,
        4.827517094213663,
        4.827537119732809,
        4.827557145251954,
        4.8275771707711,
        4.827597196290246,
        4.827617221809392,
        4.827637247328537,
        4.827657272847683,
        4.8276772983668295,
        4.827697323885975,
        4.827717349405121,
        4.827737374924267,
        4.827757400443413,
        4.827777425962558,
        4.827797451481704,
        4.82781747700085,
        4.827837502519995,
        4.827857528039141,
        4.827877553558287,
        4.827897579077433,
        4.827917604596578,
        4.827937630115724,
        4.8279576556348704,
        4.827977681154016,
        4.827997706673162,
        4.828017732192308,
        4.828037757711453,
        4.828057783230599,
        4.828077808749745,
        4.828097834268891,
        4.828117859788036,
        4.828137885307182,
        4.828157910826328,
        4.828177936345473,
        4.828197961864619,
        4.828217510585691,
        4.828237536104836,
        4.828257561623982,
        4.828277587143128,
        4.828297612662274,
        4.828317638181419,
        4.828337663700565,
        4.828357689219711,
        4.828377714738856,
        4.828397740258002,
        4.8284172889790735,
        4.828437314498219,
        4.828457340017365,
        4.828477365536511,
        4.828497391055657,
        4.828517416574802,
        4.828537442093948,
        4.828557467613094,
        4.828577016334164,
        4.82859704185331,
        4.828617067372456,
        4.828637092891602,
        4.828657118410748,
        4.828677143929894,
        4.82869716944904,
        4.82871671817011,
        4.828736743689256,
        4.828756769208402,
        4.828776794727547,
        4.828796820246693,
        4.828816845765839,
        4.82883639448691,
        4.828856420006056,
        4.828876445525202,
        4.828896471044347,
        4.828916496563493,
        4.828936045284564,
        4.82919542343731,
        4.82921497215838,
        4.829234997677526,
        4.829255023196672,
        4.829275048715817,
        4.829294597436888,
        4.829314622956034,
        4.82933464847518,
        4.829354197196251,
        4.829374222715397,
        4.829394248234542,
        4.829414273753688,
        4.829433822474759,
        4.829453847993904,
        4.8294738735130505,
        4.829493422234122,
        4.829513447753267,
        4.829533473272413,
        4.829553498791559,
        4.829573047512629,
        4.829593073031775,
        4.829613098550921,
        4.829632647271992,
        4.829652672791138,
        4.829672698310284,
        4.829692247031354,
        4.8297122725505,
        4.829732298069646,
        4.829751846790717,
        4.829771872309863,
        4.829791897829009,
        4.82981144655008,
        4.829831472069225,
        4.829851497588371,
        4.829871046309442,
        4.8298910718285875,
        4.8299110973477335,
        4.829930646068805,
        4.82995067158795,
        4.829970220309021,
        4.829990245828167,
        4.830010271347312,
        4.8300298200683836,
        4.83004984558753,
        4.830069871106675,
        4.830089419827746,
        4.830109445346892,
        4.830128994067962,
        4.830149019587108,
        4.830169045106254,
        4.830188593827325,
        4.830208619346471,
        4.830228168067541,
        4.830248193586687,
        4.8302677423077585,
        4.8302877678269045,
        4.83030779334605,
        4.830327342067121,
        4.830347367586267,
        4.830366916307337,
        4.830386941826483,
        4.830406490547554,
        4.8304265160667,
        4.830446064787771,
        4.830466090306916,
        4.830486115826062,
        4.830505664547133,
        4.8305256900662785,
        4.83054523878735,
        4.830565264306496,
        4.830584813027566,
        4.830604838546712,
        4.830624387267783,
        4.830644412786929,
        4.830663961508,
        4.830683987027146,
        4.830703535748216,
        4.830723561267362,
        4.8307431099884335,
        4.830763135507579,
        4.83078268422865,
        4.830802709747796,
        4.830822258468866,
        4.830842283988012,
        4.830861832709083,
        4.830881858228229,
        4.8309014069493,
        4.830921432468446,
        4.830940981189516,
        4.8309605299105876,
        4.830980555429733,
        4.831000104150804,
        4.83102012966995,
        4.83103967839102,
        4.831059703910166,
        4.831079252631238,
        4.831099278150383,
        4.831118826871454,
        4.831138375592525,
        4.83115840111167,
        4.831177949832742,
        4.831197975351888,
        4.831217524072958,
        4.831237072794029,
        4.831257098313174,
        4.831276647034246,
        4.831296672553392,
        4.831316221274462,
        4.831335769995533,
        4.831355795514679,
        4.83137534423575,
        4.831395369754896,
        4.831414918475967,
        4.831434467197037,
        4.831454492716183,
        4.831474041437254,
        4.8314940669564,
        4.831513615677471,
        4.831533164398541,
        4.831553189917687,
        4.831572738638759,
        4.831592287359829,
        4.831612312878975,
        4.831631861600046,
        4.831651410321117,
        4.831671435840263,
        4.831690984561333,
        4.831710533282404,
        4.83173055880155,
        4.831750107522621,
        4.831769656243692,
        4.831789681762838,
        4.831809230483908,
        4.831828779204979,
        4.8318488047241255,
        4.831868353445196,
        4.831887902166267,
        4.831907450887337,
        4.8319274764064835,
        4.831947025127555,
        4.831966573848625,
        4.831986599367771,
        4.832006148088842,
        4.832025696809913,
        4.832045245530984,
        4.832065271050129,
        4.8320848197712,
        4.8321043684922715,
        4.832124394011417,
        4.832143942732488,
        4.832163491453559,
        4.8321830401746295,
        4.832203065693776,
        4.832222614414846,
        4.832242163135917,
        4.832261711856988,
        4.832281260578059,
        4.832301286097205,
        4.832320834818276,
        4.832340383539346,
        4.832359932260418,
        4.832379957779563,
        4.832399506500634,
        4.832419055221705,
        4.832438603942776,
        4.832458152663847,
        4.832478178182993,
        4.832497726904063,
        4.8325172756251344,
        4.832536824346205,
        4.832556373067276,
        4.832851034277564,
        4.832870582998635,
        4.832890131719705,
        4.8329096804407765,
        4.832929229161848,
        4.832948777882918,
        4.832968803402064,
        4.832988352123135,
        4.833007900844206,
        4.833027449565277,
        4.833046998286347,
        4.833066547007419,
        4.833086095728489,
        4.83310564444956,
        4.833125193170631,
        4.833144741891702,
        4.833164767410848,
        4.833184316131919,
        4.833203864852989,
        4.833223413574061,
        4.833242962295131,
        4.833262511016202,
        4.833282059737273,
        4.833301608458344,
        4.833321157179415,
        4.833340705900485,
        4.833360254621557,
        4.833379803342628,
        4.833399352063698,
        4.833418900784769,
        4.83343844950584,
        4.833457998226911,
        4.833477546947982,
        4.833497095669053,
        4.833516644390124,
        4.833536669909269,
        4.83355621863034,
        4.8335757673514115,
        4.833595316072482,
        4.833614864793553,
        4.833634413514623,
        4.833653962235695,
        4.833673510956766,
        4.833693059677836,
        4.8337126083989075,
        4.833732157119978,
        4.833751705841049,
        4.83377125456212,
        4.833790326485116,
        4.833809875206187,
        4.8338294239272575,
        4.833848972648329,
        4.833868521369399,
        4.83388807009047,
        4.8339076188115415,
        4.833927167532612,
        4.833946716253683,
        4.8339662649747535,
        4.833985813695825,
        4.834005362416896,
        4.834024911137966,
        4.8340444598590375,
        4.834064008580108,
        4.834083557301179,
        4.83410310602225,
        4.834122654743321,
        4.834142203464392,
        4.8341612753873875,
        4.834180824108459,
        4.834200372829529,
        4.8342199215506,
        4.834239470271672,
        4.834259018992742,
        4.834278567713813,
        4.8342981164348835,
        4.834317665155955,
        4.834337213877026,
        4.8343562858000215,
        4.834375834521093,
        4.834395383242163,
        4.834414931963234,
        4.834434480684306,
        4.834454029405376,
        4.834473578126447,
        4.8344931268475175,
        4.834512198770514,
        4.834531747491584,
        4.834551296212656,
        4.834570844933727,
        4.834590393654797,
        4.834609942375868,
        4.834629014298864,
        4.834648563019935,
        4.8346681117410055,
        4.834687660462077,
        4.834707209183148,
        4.834726757904218,
        4.834745829827215,
        4.834765378548285,
        4.834784927269356,
        4.834804475990428,
        4.834824024711498,
        4.834843096634494,
        4.834862645355565,
        4.834882194076636,
        4.834901742797706,
        4.834921291518778,
        4.834940363441773,
        4.834959912162844,
        4.834979460883916,
        4.834999009604986,
        4.835018081527982,
        4.835037630249053,
        4.835057178970124,
        4.835076727691195,
        4.835096276412266,
        4.835115348335262,
        4.835134897056332,
        4.835154445777404,
        4.835173994498474,
        4.83519306642147,
        4.835212615142541,
        4.835232163863612,
        4.835251235786608,
        4.835270784507679,
        4.83529033322875,
        4.83530988194982,
        4.835328953872817,
        4.835348502593887,
        4.835368051314958,
        4.835387123237955,
        4.835406671959025,
        4.835426220680096,
        4.835445769401167,
        4.835464841324163,
        4.835484390045234,
        4.835503938766305,
        4.8355230106893,
        4.835542559410372,
        4.835562108131443,
        4.835581180054438,
        4.83560072877551,
        4.83562027749658,
        4.835639349419576,
        4.835658898140647,
        4.835678446861718,
        4.835697518784714,
        4.835717067505785,
        4.835736616226856,
        4.835755688149852,
        4.835775236870923,
        4.835794785591993,
        4.83581385751499,
        4.83583340623606,
        4.835852954957131,
        4.835872026880128,
        4.835891575601198,
        4.835910647524194,
        4.835930196245265,
        4.835949744966336,
        4.835968816889332,
        4.835988365610403,
        4.836007437533398,
        4.83602698625447,
        4.836046534975541,
        4.836065606898536,
        4.836085155619608,
        4.836104227542603,
        4.836123776263674,
        4.836143324984745,
        4.836162396907741,
        4.836490910781347,
        4.836510459502418,
        4.8365295314254135,
        4.836549080146485,
        4.836568628867555,
        4.836587700790552,
        4.836607249511622,
        4.836626321434618,
        4.83664587015569,
        4.836664942078685,
        4.836684490799756,
        4.836703562722752,
        4.836722634645748,
        4.836742183366819,
        4.836761255289815,
        4.8367808040108855,
        4.836799875933882,
        4.836819424654952,
        4.836838496577949,
        4.836858045299019,
        4.8368771172220155,
        4.836896665943086,
        4.836915737866082,
        4.8369352865871535,
        4.836954358510149,
        4.8369734304331455,
        4.836992979154216,
        4.837012051077212,
        4.837031599798283,
        4.837050671721279,
        4.8370702204423495,
        4.837089292365346,
        4.8371083642883415,
        4.837127913009413,
        4.837146984932408,
        4.8371665336534795,
        4.837185605576475,
        4.8372046774994715,
        4.837224226220542,
        4.837243298143538,
        4.8372628468646095,
        4.837281918787605,
        4.8373009907106015,
        4.837320539431672,
        4.837339611354668,
        4.837359160075739,
        4.837378231998735,
        4.837397303921731,
        4.837416852642802,
        4.837435924565797,
        4.837454996488794,
        4.837474545209864,
        4.837493617132861,
        4.837512689055856,
        4.837532237776927,
        4.837551309699923,
        4.837570858420994,
        4.83758993034399,
        4.837609002266986,
        4.837628550988057,
        4.837647622911053,
        4.837666694834049,
        4.837685766757045,
        4.837705315478116,
        4.837724387401112,
        4.837743459324108,
        4.837763008045179,
        4.837782079968175,
        4.8378011518911705,
        4.837820700612242,
        4.837839772535237,
        4.837858844458234,
        4.837878393179304,
        4.837897465102301,
        4.837916537025296,
        4.8379356089482926,
        4.837955157669363,
        4.837974229592359,
        4.837993301515355,
        4.838012373438351,
        4.838031922159422,
        4.838050994082418,
        4.838070066005414,
        4.83808913792841,
        4.8381086866494805,
        4.838127758572477,
        4.8381468304954725,
        4.838165902418469,
        4.83818545113954,
        4.838204523062536,
        4.838223594985531,
        4.838242666908528,
        4.838262215629599,
        4.8382812875525945,
        4.838300359475591,
        4.8383194313985864,
        4.838338503321582,
        4.838358052042653,
        4.83837712396565,
        4.838396195888645,
        4.838415267811642,
        4.838434339734637,
        4.8384538884557085,
        4.838472960378704,
        4.8384920323017,
        4.838511104224696,
        4.838530176147692,
        4.838549724868763,
        4.838568796791759,
        4.838587868714755,
        4.838606940637751,
        4.838626012560747,
        4.838645084483743,
        4.8386646332048135,
        4.83868370512781,
        4.8387027770508055,
        4.838721848973802,
        4.8387409208967975,
        4.838759992819794,
        4.8387790647427895,
        4.838798613463861,
        4.838817685386856,
        4.838836757309853,
        4.838855829232848,
        4.838874901155845,
        4.83889397307884,
        4.838913045001837,
        4.838932116924832,
        4.8389516656459035,
        4.838970737568899,
        4.8389898094918955,
        4.839008881414891,
        4.8390279533378875,
        4.839047025260883,
        4.8390660971838795,
        4.839085169106875,
        4.8391042410298715,
        4.839123312952867,
        4.8391423848758635,
        4.839161933596934,
        4.83918100551993,
        4.839200077442926,
        4.839219149365922,
        4.839238221288918,
        4.839257293211914,
        4.83927636513491,
        4.839295437057905,
        4.839314508980902,
        4.839333580903897,
        4.839352652826894,
        4.839371724749889,
        4.839390796672886,
        4.839409868595881,
        4.839428940518878,
        4.839448012441873,
        4.83946708436487,
        4.839486156287865,
        4.839505228210862,
        4.839524300133857,
        4.839543372056854,
        4.839562443979849,
        4.839581515902846,
        4.839600587825841,
        4.839619659748838,
        4.839638731671833,
        4.83965780359483,
        4.840666231523242,
        4.840685303446238,
        4.840704375369234,
        4.84072344729223,
        4.840742042417151,
        4.840761114340147,
        4.840780186263143,
        4.840799258186139,
        4.840818330109135,
        4.840836925234056,
        4.8408559971570515,
        4.840875069080048,
        4.8408941410030435,
        4.84091321292604,
        4.840931808050961,
        4.840950879973957,
        4.840969951896953,
        4.840989023819949,
        4.84100761894487,
        4.841026690867866,
        4.841045762790862,
        4.841064834713858,
        4.841083429838779,
        4.841102501761775,
        4.841121573684771,
        4.841140645607767,
        4.841159240732688,
        4.841178312655684,
        4.84119738457868,
        4.841216456501676,
        4.841235051626597,
        4.841254123549593,
        4.841273195472589,
        4.84129179059751,
        4.841310862520506,
        4.841329934443502,
        4.841349006366498,
        4.841367601491419,
        4.841386673414415,
        4.841405745337411,
        4.841424340462332,
        4.8414434123853285,
        4.841462484308324,
        4.841481079433245,
        4.841500151356241,
        4.841519223279237,
        4.841537818404158,
        4.841556890327154,
        4.84157596225015,
        4.841594557375071,
        4.841613629298068,
        4.841632701221063,
        4.841651296345984,
        4.84167036826898,
        4.841689440191976,
        4.8417080353168975,
        4.841727107239893,
        4.8417461791628895,
        4.84176477428781,
        4.841783846210807,
        4.841802918133802,
        4.841821513258723,
        4.842667591442632,
        4.843815959606028,
        4.843834554730949,
        4.84385314985587,
        4.843872221778867,
        4.843890816903787,
        4.843909412028708,
        4.8439284839517045,
        4.843947079076625,
        4.843965674201547,
        4.843984269326468,
        4.844003341249463,
        4.844021936374385,
        4.844040531499306,
        4.844059126624227,
        4.844078198547223,
        4.8440967936721435,
        4.844115388797065,
        4.844133983921986,
        4.844153055844982,
        4.844171650969903,
        4.844190246094824,
        4.8442088412197455,
        4.844227913142741,
        4.844246508267663,
        4.844265103392583,
        4.844283698517504,
        4.844302293642426,
        4.844321365565421,
        4.844339960690343,
        4.844358555815264,
        4.8443771509401845,
        4.844395746065106,
        4.844414817988102,
        4.844433413113023,
        4.844452008237944,
        4.844470603362865,
        4.8444891984877865,
        4.844508270410782,
        4.844526865535704,
        4.844545460660624,
        4.844564055785545,
        4.844582650910467,
        4.8446012460353876,
        4.844620317958384,
        4.844638913083305,
        4.8446575082082255,
        4.844676103333147,
        4.844694698458068,
        4.844713293582989,
        4.84473188870791,
        4.844750960630906,
        4.8447695557558275,
        4.844788150880748,
        4.844806746005669,
        4.844825341130591,
        4.844843936255511,
        4.844862531380432,
        4.844881126505354,
        4.844900198428349,
        4.844918793553271,
        4.844937388678192,
        4.844955983803112,
        4.844974578928034,
        4.844993174052955,
        4.8450117691778765,
        4.845030364302797,
        4.845048959427718,
        4.84506755455264,
        4.845086626475635,
        4.845105221600557,
        4.8451238167254775,
        4.845142411850398,
        4.84516100697532,
        4.845179602100241,
        4.845198197225161,
        4.845216792350083,
        4.845235387475004,
        4.8452539825999255,
        4.845272577724846,
        4.845291172849767,
        4.845309767974689,
        4.845328363099609,
        4.84534695822453,
        4.845365553349452,
        4.8453841484743725,
        4.845403220397369,
        4.84542181552229,
        4.84544041064721,
        4.845459005772132,
        4.845477600897053,
        4.845496196021974,
        4.845514791146895,
        4.845533386271816,
        4.845551981396738,
        4.845570576521658,
        4.845589171646579,
        4.845607766771501,
        4.8456263618964215,
        4.845644957021342,
        4.845663552146264,
        4.845682147271185,
        4.845700742396106,
        4.845719337521027,
        4.845737932645948,
        4.845756050972795,
        4.845774646097715,
        4.845793241222636,
        4.845811836347558,
        4.8458304314724785,
        4.845849026597399,
        4.845867621722321,
        4.845886216847242,
        4.845904811972163,
        4.845923407097084,
        4.845942002222005,
        4.845960597346926,
        4.845979192471847,
        4.845997787596768,
        4.8460163827216896,
        4.84603497784661,
        4.846053572971532,
        4.846072168096453,
        4.846090286423299,
        4.84610888154822,
        4.846127476673141,
        4.846146071798062,
        4.846164666922983,
        4.846183262047904,
        4.846201857172825,
        4.846220452297747,
        4.846239047422667,
        4.846257642547589,
        4.846275760874435,
        4.846294355999356,
        4.846312951124277,
        4.846331546249198,
        4.846350141374119,
        4.84636873649904,
        4.846387331623961,
        4.846405926748882,
        4.846424045075729,
        4.8464426402006495,
        4.84646123532557,
        4.846479830450492,
        4.846498425575413,
        4.846517020700334,
        4.846535615825255,
        4.846553734152101,
        4.846572329277023,
        4.846590924401943,
        4.846609519526864,
        4.846628114651786,
        4.846646232978632,
        4.8466648281035525,
        4.846683423228474,
        4.846702018353395,
        4.846720613478316,
        4.846739208603237,
        4.846757326930083,
        4.846775922055004,
        4.846794517179926,
        4.846813112304846,
        4.846831707429768,
        4.846849825756614,
        4.846868420881535,
        4.846887016006456,
        4.846905611131377,
        4.846923729458223,
        4.846942324583145,
        4.846960919708065,
        4.846979514832986,
        4.847441055369489,
        4.84745965049441,
        4.847477768821256,
        4.847496363946178,
        4.847514959071098,
        4.847533077397944,
        4.847551672522866,
        4.847570267647787,
        4.847588385974633,
        4.847606981099554,
        4.847625576224475,
        4.847643694551321,
        4.847662289676243,
        4.847680884801163,
        4.847699003128009,
        4.847717598252931,
        4.847736193377852,
        4.847754311704698,
        4.847772906829619,
        4.84779150195454,
        4.847809620281386,
        4.847828215406308,
        4.847846333733154,
        4.847864928858074,
        4.847883523982996,
        4.847901642309842,
        4.847920237434763,
        4.847938832559684,
        4.84795695088653,
        4.847975546011451,
        4.847993664338298,
        4.848012259463219,
        4.848030854588139,
        4.848048972914986,
        4.848067568039907,
        4.848085686366753,
        4.848104281491675,
        4.848122399818521,
        4.848140994943441,
        4.848159590068363,
        4.848177708395209,
        4.84819630352013,
        4.8482144218469765,
        4.848233016971897,
        4.848251135298743,
        4.848269730423665,
        4.848288325548586,
        4.8483064438754315,
        4.848325039000353,
        4.848343157327199,
        4.84836175245212,
        4.848379870778967,
        4.8483984659038875,
        4.848416584230733,
        4.848435179355655,
        4.848453297682501,
        4.848471892807422,
        4.848490011134268,
        4.848508606259189,
        4.848526724586035,
        4.848545319710956,
        4.848563438037803,
        4.848582033162724,
        4.84860015148957,
        4.848618746614491,
        4.848636864941337,
        4.848655460066258,
        4.848673578393105,
        4.8486921735180255,
        4.8487102918448715,
        4.848728886969793,
        4.848747005296639,
        4.84876560042156,
        4.848783718748406,
        4.848802313873327,
        4.848820432200173,
        4.848839027325094,
        4.848857145651941,
        4.848875740776862,
        4.848893859103708,
        4.8489119774305545,
        4.848930572555475,
        4.848948690882321,
        4.848967286007243,
        4.848985404334089,
        4.8490039994590095,
        4.849022117785856,
        4.849040712910777,
        4.849058831237623,
        4.849076949564469,
        4.849095544689391,
        4.849113663016237,
        4.849132258141157,
        4.849150376468004,
        4.84916849479485,
        4.849187089919771,
        4.849205208246618,
        4.8492238033715385,
        4.849241921698384,
        4.84926004002523,
        4.849278635150152,
        4.849296753476998,
        4.849315348601919,
        4.8493334669287655,
        4.8493515852556115,
        4.849370180380532,
        4.849388298707379,
        4.849406417034225,
        4.849425012159146,
        4.849443130485993,
        4.849461725610913,
        4.849479843937759,
        4.849497962264605,
        4.849516557389527,
        4.849534675716373,
        4.849552794043219,
        4.8495713891681405,
        4.849589507494986,
        4.849607625821832,
        4.849626220946754,
        4.8496443392736,
        4.849662457600446,
        4.849681052725367,
        4.8496991710522135,
        4.849717289379059,
        4.84973588450398,
        4.849754002830827,
        4.849772121157673,
        4.849790239484519,
        4.849808834609441,
        4.8498269529362865,
        4.8498450712631325,
        4.849863666388053,
        4.8498817847149,
        4.849899903041746,
        4.849918498166667,
        4.849936616493514,
        4.8499547348203595,
        4.8499728531472055,
        4.849991448272126,
        4.850009566598973,
        4.850027684925819,
        4.850045803252665,
        4.850064398377587,
        4.850082516704433,
        4.8501006350312785,
        4.8501187533581245,
        4.850137348483046,
        4.850155466809892,
        4.850173585136738,
        4.850191703463585,
        4.850210298588506,
        4.850228416915352,
        4.8502465352421975,
        4.850264653569044,
        4.850283248693965,
        4.850301367020811,
        4.850319485347658,
        4.850337603674504,
        4.85035572200135,
        4.8503743171262705,
        4.850392435453117,
        4.850410553779963,
        4.850428672106809,
        4.850446790433656,
        4.850465385558577,
        4.850483503885423,
        4.850501622212269,
        4.850519740539116,
        4.852958562692226,
        4.8557254219208685,
        4.855746877834239,
        4.855768810545684,
        4.855790266459055,
        4.855811722372425,
        4.85583365508387,
        4.855855110997241,
        4.855876566910611,
        4.855898499622056,
        4.855919955535427,
        4.855941411448797,
        4.8559633441602434,
        4.855984800073614,
        4.856006732785059,
        4.85602818869843,
        4.8560496446118,
        4.856071577323245,
        4.856093033236616,
        4.856114489149986,
        4.856136421861431,
        4.856157877774802,
        4.856179333688172,
        4.856201266399618,
        4.856222722312989,
        4.856244178226359,
        4.85626563413973,
        4.856287566851175,
        4.856309022764545,
        4.856330478677916,
        4.856352411389361,
        4.8563738673027315,
        4.856395323216102,
        4.856416779129472,
        4.856438711840918,
        4.856460167754288,
        4.856481623667659,
        4.856503556379105,
        4.856525012292475,
        4.8565464682058455,
        4.856567924119216,
        4.856589856830661,
        4.856611312744032,
        4.856632768657402,
        4.8566542245707724,
        4.856675680484143,
        4.856697613195588,
        4.856719069108959,
        4.856740525022329,
        4.856761980935699,
        4.856783913647146,
        4.856805369560516,
        4.8568268254738864,
        4.856848281387257,
        4.856869737300627,
        4.856891670012073,
        4.856913125925443,
        4.856934581838813,
        4.856956037752184,
        4.856977493665554,
        4.8569994263769996,
        4.85702088229037,
        4.85704233820374,
        4.857063794117111,
        4.857085250030481,
        4.857106705943852,
        4.857128638655298,
        4.857150094568668,
        4.857171550482039,
        4.857193006395409,
        4.85721446230878,
        4.85723591822215,
        4.8572573741355205,
        4.857279306846966,
        4.857300762760336,
        4.857322218673707,
        4.857343674587077,
        4.8573651305004475,
        4.857386586413818,
        4.857408042327188,
        4.857429498240559,
        4.857450954153929,
        4.857472886865375,
        4.857494342778746,
        4.857515798692116,
        4.857537254605487,
        4.857558710518857,
        4.857580166432228,
        4.857601622345598,
        4.857623078258968,
        4.857644534172339,
        4.857665990085709,
        4.85768744599908,
        4.85770890191245,
        4.857730357825821,
        4.857751813739191,
        4.857773746450636,
        4.857795202364007,
        4.857816658277377,
        4.857838114190748,
        4.857859570104119,
        4.857881026017489,
        4.85790248193086,
        4.85792393784423,
        4.857945393757601,
        4.858331123400194,
        4.858352579313564,
        4.858374035226935,
        4.858395491140306,
        4.858416947053676,
        4.858438402967047,
        4.858459858880417,
        4.858481314793788,
        4.858502770707158,
        4.858524226620529,
        4.858545682533899,
        4.8585671384472695,
        4.85858859436064,
        4.858609573475936,
        4.858631029389306,
        4.8586524853026765,
        4.858673941216047,
        4.858695397129417,
        4.858716853042788,
        4.858738308956158,
        4.858759764869529,
        4.858781220782899,
        4.858802199898195,
        4.858823655811565,
        4.858845111724936,
        4.858866567638306,
        4.8588880235516765,
        4.858909479465047,
        4.858930935378417,
        4.858951914493713,
        4.858973370407083,
        4.858994826320454,
        4.859016282233824,
        4.859037738147196,
        4.859059194060566,
        4.859080173175862,
        4.859101629089232,
        4.859123085002603,
        4.859144540915973,
        4.8591659968293435,
        4.859186975944639,
        4.8592084318580095,
        4.85922988777138,
        4.85925134368475,
        4.859272799598121,
        4.8592937787134165,
        4.859315234626787,
        4.859336690540157,
        4.859358146453528,
        4.859379602366898,
        4.859400581482194,
        4.859422037395564,
        4.859443493308935,
        4.859464949222305,
        4.859485928337601,
        4.859507384250971,
        4.859528840164342,
        4.859550296077712,
        4.859571275193008,
        4.859592731106378,
        4.859614187019749,
        4.859635166135044,
        4.859656622048415,
        4.859678077961785,
        4.859699533875156,
        4.859720512990451,
        4.859741968903822,
        4.859763424817192,
        4.859784403932488,
        4.859805859845858,
        4.859827315759229,
        4.859848771672599,
        4.859869750787895,
        4.859891206701265,
        4.859912662614636,
        4.859933641729931,
        4.859955097643302,
        4.859976553556672,
        4.859997532671968,
        4.860018988585338,
        4.860040444498709,
        4.860061423614004,
        4.860082879527375,
        4.860104335440745,
        4.860125314556041,
        4.860146770469411,
        4.860168226382782,
        4.860189205498077,
        4.860210661411448,
        4.860231640526743,
        4.860253096440114,
        4.860274552353484,
        4.86029553146878,
        4.86031698738215,
        4.860337966497446,
        4.860359422410816,
        4.860380878324187,
        4.8604018574394825,
        4.860423313352853,
        4.860444292468149,
        4.860465748381519,
        4.8604872042948895,
        4.860508183410185,
        4.8605296393235555,
        4.860550618438851,
        4.860572074352222,
        4.860593053467517,
        4.860614509380888,
        4.860635965294258,
        4.860656944409554,
        4.860678400322924,
        4.86069937943822,
        4.86072083535159,
        4.860741814466886,
        4.860763270380256,
        4.860784249495552,
        4.860805705408922,
        4.860826684524218,
        4.8608481404375885,
        4.860869119552884,
        4.860890575466255,
        4.860912031379625,
        4.860933010494921,
        4.860954466408291,
        4.860975445523587,
        4.860996901436957,
        4.861017880552253,
        4.8610388596675485,
        4.861060315580919,
        4.8610812946962145,
        4.861102750609585,
        4.861123729724881,
        4.861145185638251,
        4.861166164753547,
        4.861187620666917,
        4.861208599782213,
        4.861230055695583,
        4.861251034810879,
        4.861272490724249,
        4.861293469839545,
        4.861314925752915,
        4.861335904868211,
        4.861356883983507,
        4.861378339896877,
        4.861399319012173,
        4.861420774925543,
        4.861441754040839,
        4.861462733156134,
        4.861484189069505,
        4.8615051681848005,
        4.861526624098171,
        4.861547603213467,
        4.861569059126837,
        4.861949543990606,
        4.861970523105902,
        4.8619919790192725,
        4.862012958134568,
        4.862033937249864,
        4.862055393163234,
        4.86207637227853,
        4.8620973513938255,
        4.862118807307196,
        4.862139786422492,
        4.862160765537787,
        4.862181744653083,
        4.862203200566453,
        4.862224179681749,
        4.8622451587970446,
        4.862266614710415,
        4.862287593825711,
        4.862308572941006,
        4.862329552056302,
        4.862351007969672,
        4.862371987084968,
        4.862392966200263,
        4.862413945315558,
        4.862435401228929,
        4.8624563803442244,
        4.86247735945952,
        4.862498338574816,
        4.862519794488186,
        4.862540773603482,
        4.862561752718777,
        4.862582731834073,
        4.8626041877474435,
        4.862625166862739,
        4.862646145978035,
        4.86266712509333,
        4.862688104208626,
        4.8627095601219965,
        4.862730539237292,
        4.862751518352588,
        4.862772497467883,
        4.862793476583179,
        4.8628149324965495,
        4.862835911611845,
        4.862856890727141,
        4.8628778698424355,
        4.862898848957731,
        4.862919828073027,
        4.862941283986397,
        4.862962263101693,
        4.8629832422169885,
        4.863004221332284,
        4.86302520044758,
        4.863046179562875,
        4.863067635476246,
        4.8630886145915415,
        4.863109593706837,
        4.863130572822133,
        4.863151551937428,
        4.863172531052724,
        4.86319351016802,
        4.863214489283315,
        4.863235945196686,
        4.863256924311981,
        4.863277903427277,
        4.863298882542572,
        4.8633198616578674,
        4.863340840773163,
        4.863361819888459,
        4.863382799003754,
        4.86340377811905,
        4.863424757234346,
        4.863445736349641,
        4.863467192263012,
        4.863488171378307,
        4.863509150493603,
        4.863530129608899,
        4.863551108724194,
        4.86357208783949,
        4.8635930669547855,
        4.863614046070081,
        4.863635025185377,
        4.863656004300672,
        4.863676983415967,
        4.863697962531263,
        4.8637189416465585,
        4.863739920761854,
        4.86376089987715,
        4.863781878992445,
        4.863802858107741,
        4.863823837223037,
        4.863844816338332,
        4.863865795453628,
        4.863886774568924,
        4.863907753684219,
        4.863928732799515,
        4.86394971191481,
        4.863970691030105,
        4.863991670145401,
        4.8640126492606965,
        4.864033628375992,
        4.864054607491288,
        4.8640755866065835,
        4.864096565721879,
        4.864117544837175,
        4.86413852395247,
        4.864159503067766,
        4.864180482183062,
        4.864201461298357,
        4.864222440413653,
        4.864243419528949,
        4.864264398644243,
        4.864285377759539,
        4.864306356874835,
        4.86432733599013,
        4.864347838307351,
        4.864368817422647,
        4.864389796537942,
        4.864410775653238,
        4.864431754768534,
        4.864452733883829,
        4.864473712999125,
        4.8644946921144205,
        4.864515671229716,
        4.864536650345012,
        4.864557152662232,
        4.864578131777527,
        4.864599110892823,
        4.864620090008119,
        4.864641069123414,
        4.86466204823871,
        4.864683027354006,
        4.864704006469301,
        4.864724508786522,
        4.864745487901818,
        4.864766467017113,
        4.864787446132408,
        4.864808425247704,
        4.864829404362999,
        4.864850383478295,
        4.864870885795516,
        4.8648918649108115,
        4.864912844026107,
        4.864933823141403,
        4.864954802256698,
        4.864975304573919,
        4.864996283689215,
        4.8650172628045105,
        4.865038241919805,
        4.865059221035101,
        4.8650802001503965,
        4.865100702467617,
        4.865121681582913,
        4.865142660698209,
        4.865163639813504,
        4.865184142130725,
        4.865205121246021,
        4.865226100361316,
        4.865247079476612,
        4.86553887989845,
        4.865559859013746,
        4.865580838129041,
        4.865601340446262,
        4.865622319561558,
        4.865643298676853,
        4.865663800994074,
        4.865684780109369,
        4.865705759224665,
        4.86572673833996,
        4.865747240657181,
        4.865768219772477,
        4.865789198887772,
        4.865809701204993,
        4.865830680320289,
        4.8658516594355845,
        4.865872161752805,
        4.8658931408681,
        4.865914119983396,
        4.865934622300617,
        4.865955601415912,
        4.865976580531208,
        4.865997082848429,
        4.866018061963724,
        4.866038564280945,
        4.866059543396241,
        4.866080522511536,
        4.866101024828756,
        4.866122003944052,
        4.866142983059348,
        4.8661634853765685,
        4.866184464491864,
        4.866204966809085,
        4.866225945924381,
        4.866246925039676,
        4.866267427356896,
        4.866288406472192,
        4.866308908789413,
        4.866329887904708,
        4.866350867020004,
        4.866371369337225,
        4.8663923484525204,
        4.866412850769741,
        4.866433829885037,
        4.866454332202257,
        4.8664753113175525,
        4.866496290432848,
        4.866516792750069,
        4.866537771865365,
        4.8665582741825855,
        4.866579253297881,
        4.866599755615102,
        4.866620734730398,
        4.8666412370476175,
        4.866662216162913,
        4.866682718480134,
        4.86670369759543,
        4.8667241999126505,
        4.866745179027946,
        4.866765681345167,
        4.866786660460463,
        4.8668071627776825,
        4.866828141892978,
        4.866848644210199,
        4.866869623325495,
        4.8668901256427155,
        4.866911104758011,
        4.866931607075232,
        4.866952586190528,
        4.866973088507748,
        4.866994067623043,
        4.867014569940264,
        4.86703554905556,
        4.8670560513727805,
        4.867077030488076,
        4.867097532805297,
        4.867118511920593,
        4.867139014237813,
        4.867159993353108,
        4.867180495670329,
        4.86720099798755,
        4.8672219771028455,
        4.867242479420066,
        4.867263458535362,
        4.867283960852582,
        4.867304939967878,
        4.8673254422850984,
        4.867345944602319,
        4.867366923717615,
        4.867387426034836,
        4.867408405150131,
        4.867428907467352,
        4.867449409784572,
        4.867470388899868,
        4.867490891217089,
        4.867511870332384,
        4.867532372649605,
        4.867552874966826,
        4.867573854082122,
        4.867594356399342,
        4.867614858716562,
        4.867635837831858,
        4.867656340149079,
        4.8676768424663,
        4.867697821581595,
        4.867718323898816,
        4.867739303014112,
        4.867759805331332,
        4.867780307648553,
        4.867801286763848,
        4.867821789081069,
        4.86784229139829,
        4.867863270513586,
        4.867883772830806,
        4.867904275148026,
        4.867924777465247,
        4.867945756580543,
        4.867966258897764,
        4.8679867612149845,
        4.86800774033028,
        4.8680282426475,
        4.868048744964721,
        4.868069724080017,
        4.868090226397237,
        4.868110728714458,
        4.868131231031679,
        4.868152210146975,
        4.868172712464195,
        4.8681932147814155,
        4.868214193896711,
        4.868234696213932,
        4.868255198531153,
        4.868275700848374,
        4.868296679963669,
        4.868317182280889,
        4.86833768459811,
        4.868358186915331,
        4.868379166030627,
        4.868399668347847,
        4.868420170665068,
        4.868440672982288,
        4.868461175299509,
        4.868482154414805,
        4.8685026567320255,
        4.868523159049246,
        4.868543661366467,
        4.868564163683688,
        4.868585142798983,
        4.868605645116204,
        4.8686261474334245,
        4.868646649750645,
        4.868667152067866,
        4.868688131183162,
        4.868708633500382,
        4.868729135817603,
        4.868749638134823,
        4.868770140452044,
        4.86879111956734,
        4.868811621884561,
        4.868832124201782,
        4.8688526265190015,
        4.868873128836222,
        4.869202119507904,
        4.8692226218251236,
        4.869243124142344,
        4.869263626459565,
        4.869284128776786,
        4.869305107892082,
        4.8693256102093025,
        4.8693461125265225,
        4.869366614843743,
        4.869387117160964,
        4.869407619478185,
        4.869428121795406,
        4.869448624112626,
        4.869469126429847,
        4.8694896287470675,
        4.869510131064288,
        4.869530633381509,
        4.86955113569873,
        4.86957163801595,
        4.869592140333171,
        4.869612642650392,
        4.8696331449676125,
        4.869653647284833,
        4.869674149602053,
        4.869694651919274,
        4.869715154236495,
        4.869735656553716,
        4.869756158870937,
        4.869776661188157,
        4.869797163505377,
        4.869817665822598,
        4.869838168139819,
        4.86985867045704,
        4.869879172774261,
        4.869899675091482,
        4.8699201774087015,
        4.869940679725922,
        4.869961182043143,
        4.869981684360364,
        4.870002186677585,
        4.870022688994805,
        4.870043191312026,
        4.8700636936292465,
        4.870084195946467,
        4.870104698263688,
        4.870125200580909,
        4.870145702898129,
        4.87016620521535,
        4.870186707532571,
        4.8702072098497915,
        4.870227712167012,
        4.8702477376861575,
        4.870268240003378,
        4.870288742320599,
        4.87030924463782,
        4.870329746955041,
        4.870350249272261,
        4.870370751589482,
        4.8703912539067025,
        4.870411756223923,
        4.870432258541144,
        4.870452284060289,
        4.87047278637751,
        4.870493288694731,
        4.870513791011952,
        4.870534293329173,
        4.8705547956463935,
        4.870575297963613,
        4.870595800280834,
        4.87061582579998,
        4.870636328117201,
        4.870656830434422,
        4.870677332751642,
        4.870697835068863,
        4.870718337386084,
        4.87073836290523,
        4.8707588652224505,
        4.8707793675396704,
        4.870799869856891,
        4.870820372174112,
        4.870840874491333,
        4.870860900010479,
        4.870881402327699,
        4.87090190464492,
        4.870922406962141,
        4.8709429092793615,
        4.8709629347985075,
        4.8709834371157275,
        4.871003939432948,
        4.871024441750169,
        4.87104494406739,
        4.871064969586536,
        4.871085471903756,
        4.871105974220977,
        4.871126476538198,
        4.871146502057344,
        4.8711670043745645,
        4.8711875066917845,
        4.871208009009005,
        4.871228034528151,
        4.871248536845372,
        4.871269039162593,
        4.871289541479813,
        4.871309566998959,
        4.87133006931618,
        4.871350571633401,
        4.871371073950621,
        4.871391099469767,
        4.8714116017869875,
        4.871432104104208,
        4.871452606421429,
        4.871472631940574,
        4.871493134257795,
        4.871513636575016,
        4.871533662094162,
        4.871554164411383,
        4.871574666728603,
        4.871594692247749,
        4.87161519456497,
        4.871635696882191,
        4.871655722401336,
        4.8716762247185565,
        4.871696727035777,
        4.871716752554923,
        4.871737254872144,
        4.871757757189364,
        4.87177778270851,
        4.871798285025731,
        4.871818787342952,
        4.871838812862097,
        4.871859315179318,
        4.871879817496539,
        4.871899843015685,
        4.871920345332906,
        4.871940847650126,
        4.871960873169272,
        4.8719813754864925,
        4.8720014010056385,
        4.872021903322859,
        4.872042405640079,
        4.872062431159225,
        4.872082933476446,
        4.872103435793667,
        4.872123461312812,
        4.872143963630033,
        4.872163989149179,
        4.8721844914664,
        4.872204993783621,
        4.872225019302766,
        4.872245521619987,
        4.872265547139133,
        4.872286049456354,
        4.872306074975499,
        4.87232657729272,
        4.87234707960994,
        4.872367105129086,
        4.872387607446307,
        4.872407632965452,
        4.872428135282673,
        4.872448160801819,
        4.87246866311904,
        4.872488688638185,
        4.872509190955406,
        4.872812911329118,
        4.872833413646338,
        4.872853439165484,
        4.8728739414827045,
        4.8728939670018505,
        4.8729144693190705,
        4.8729344948382165,
        4.872954997155437,
        4.872975022674583,
        4.872995524991803,
        4.873015550510949,
        4.87303605282817,
        4.873056078347316,
        4.873076103866461,
        4.873096606183682,
        4.873116631702828,
        4.873137134020049,
        4.873157159539194,
        4.873177661856415,
        4.873197687375561,
        4.873217712894707,
        4.873238215211928,
        4.873258240731073,
        4.873278743048294,
        4.87329876856744,
        4.873318794086585,
        4.873339296403806,
        4.873359321922952,
        4.873379824240173,
        4.873399849759319,
        4.873419875278464,
        4.873440377595685,
        4.873460403114831,
        4.873480905432052,
        4.873500930951197,
        4.873520956470343,
        4.873541458787564,
        4.87356148430671,
        4.873581509825855,
        4.873602012143076,
        4.873622037662222,
        4.873642063181367,
        4.873662565498588,
        4.873682591017734,
        4.87370261653688,
        4.873723118854101,
        4.873743144373246,
        4.873763169892392,
        4.873783672209613,
        4.873803697728758,
        4.873823723247904,
        4.873844225565125,
        4.873864251084271,
        4.873884276603416,
        4.873904302122562,
        4.873924804439783,
        4.873944829958929,
        4.873964855478074,
        4.873985357795295,
        4.874005383314441,
        4.874025408833587,
        4.874045434352732,
        4.874065936669953,
        4.874085962189099,
        4.874105987708245,
        4.874126490025465,
        4.874146515544611,
        4.874166541063757,
        4.874186566582903,
        4.874207068900123,
        4.874227094419269,
        4.874247119938415,
        4.87426714545756,
        4.874287170976706,
        4.874307673293927,
        4.874327698813073,
        4.874347724332218,
        4.8743677498513645,
        4.874388252168585,
        4.874408277687731,
        4.8744283032068765,
        4.8744483287260225,
        4.8744683542451686,
        4.874488856562389,
        4.8745088820815345,
        4.874528907600681,
        4.874548933119827,
        4.874568958638972,
        4.874589460956193,
        4.874609486475339,
        4.874629511994485,
        4.87464953751363,
        4.874669563032776,
        4.874689588551922,
        4.874710090869143,
        4.874730116388288,
        4.874750141907434,
        4.87477016742658,
        4.874790192945725,
        4.874810218464871,
        4.874830243984017,
        4.874850746301238,
        4.874870771820383,
        4.874890797339529,
        4.874910822858675,
        4.874930848377821,
        4.8749508738969665,
        4.8749708994161125,
        4.8749909249352585,
        4.8750114272524785,
        4.8750314527716245,
        4.875051478290771,
        4.875071503809917,
        4.875091529329062,
        4.875111554848208,
        4.875131580367354,
        4.875151605886499,
        4.875171631405645,
        4.875191656924791,
        4.875212159242012,
        4.875232184761157,
        4.875252210280303,
        4.875272235799449,
        4.875292261318594,
        4.87531228683774,
        4.875332312356886,
        4.875352337876032,
        4.8753723633951775,
        4.875392388914324,
        4.87541241443347,
        4.875432439952615,
        4.875452465471761,
        4.875472490990907,
        4.875492516510053,
        4.875512542029198,
        4.875532567548344,
        4.87555259306749,
        4.875572618586635,
        4.875592644105781,
        4.875612669624927,
        4.875632695144073,
        4.8756527206632185,
        4.875672746182365,
        4.875692771701511,
        4.875712797220656,
        4.875732822739802,
        4.875752848258948,
        4.875772873778093,
        4.875792899297239,
        4.875812924816385,
        4.875832950335531,
        4.875852975854676,
        4.875873001373822,
        4.875893026892968,
        4.8759130524121135,
        4.8759330779312595,
        4.875953103450406,
        4.875973128969552,
        4.875993154488697,
        4.876013180007843,
        4.876033205526989,
        4.876053231046134,
        4.87607325656528,
        4.876092805286351,
        4.876112830805496,
        4.876132856324642,
        4.8761528818437885,
        4.8761729073629345,
        4.87619293288208,
        4.876432762313755,
        4.8764527878329,
        4.876472336553971,
        4.876492362073117,
        4.876512387592262,
        4.876532413111408,
        4.876552438630554,
        4.8765724641497,
        4.8765924896688455,
        4.876612038389917,
        4.876632063909063,
        4.876652089428208,
        4.876672114947354,
        4.8766921404665,
        4.876712165985645,
        4.876731714706716,
        4.876751740225862,
        4.876771765745008,
        4.876791791264154,
        4.8768118167833,
        4.87683136550437,
        4.876851391023516,
        4.876871416542662,
        4.876891442061808,
        4.876911467580953,
        4.8769310163020245,
        4.876951041821171,
        4.876971067340316,
        4.876991092859462,
        4.877010641580533,
        4.877030667099678,
        4.877050692618824,
        4.87707071813797,
        4.877090743657115,
        4.877110292378187,
        4.877130317897333,
        4.877150343416478,
        4.877170368935624,
        4.877189917656695,
        4.87720994317584,
        4.877229968694986,
        4.8772495174160575,
        4.877269542935203,
        4.877289568454349,
        4.877309593973495,
        4.877329142694565,
        4.877349168213711,
        4.877369193732857,
        4.8773887424539275,
        4.8774087679730735,
        4.87742879349222,
        4.877448819011366,
        4.877468367732436,
        4.877488393251582,
        4.877508418770728,
        4.877527967491798,
        4.877547993010944,
        4.8775680185300905,
        4.877587567251161,
        4.877607592770307,
        4.877627618289453,
        4.877647167010523,
        4.877667192529669,
        4.877687218048815,
        4.877706766769886,
        4.877726792289032,
        4.877746817808178,
        4.877766366529248,
        4.877786392048394,
        4.87780641756754,
        4.8778259662886105,
        4.877845991807757,
        4.877865540528828,
        4.877885566047973,
        4.877905591567119,
        4.87792514028819,
        4.877945165807335,
        4.877965191326481,
        4.877984740047553,
        4.878004765566698,
        4.878024314287769,
        4.878044339806915,
        4.87806436532606,
        4.8780839140471315,
        4.8781039395662775,
        4.878123488287348,
        4.878143513806494,
        4.878163062527565,
        4.87818308804671,
        4.878203113565856,
        4.878222662286928,
        4.878242687806073,
        4.878262236527144,
        4.87828226204629,
        4.87830181076736,
        4.878321836286506,
        4.878341385007577,
        4.878361410526723,
        4.878381436045869,
        4.878400984766939,
        4.878421010286085,
        4.8784405590071565,
        4.878460584526302,
        4.878480133247373,
        4.878500158766519,
        4.878519707487589,
        4.878539733006735,
        4.8785592817278065,
        4.878579307246952,
        4.878598855968023,
        4.878618881487169,
        4.878638430208239,
        4.878658455727385,
        4.878678004448457,
        4.878698029967602,
        4.878717578688673,
        4.878737604207819,
        4.878757152928889,
        4.878777178448035,
        4.878796727169107,
        4.878816752688252,
        4.878836301409323,
        4.878855850130393,
        4.878875875649539,
        4.878895424370611,
        4.878915449889756,
        4.878934998610827,
        4.878955024129973,
        4.878974572851043,
        4.8789945983701895,
        4.879014147091261,
        4.879033695812331,
        4.879053721331477,
        4.879073270052548,
        4.8790932955716935,
        4.879112844292765,
        4.879132869811911,
        4.879152418532981,
        4.879171967254052,
        4.8791919927731975,
        4.879211541494269,
        4.879231567013415,
        4.879251115734485,
        4.879270664455556,
        4.879290689974702,
        4.879310238695773,
        4.879329787416844,
        4.87934981293599,
        4.87936936165706,
        4.879389387176206,
        4.879408935897277,
        4.879428484618348,
        4.879448510137494,
        4.879468058858564,
        4.879487607579636,
        4.879507633098782,
        4.879527181819852,
        4.879546730540923,
        4.879566756060069,
        4.87958630478114,
        4.879605853502211,
        4.879625879021356,
        4.879645427742427,
        4.8796649764634985,
        4.879685001982644,
        4.879704550703715,
        4.879724099424786,
        4.879744124943931,
        4.8797636736650025,
        4.879783222386073,
        4.879803247905219,
        4.87982279662629,
        4.880058811673365,
        4.880078360394436,
        4.880098385913582,
        4.880117934634653,
        4.880137483355724,
        4.880157032076794,
        4.88017705759594,
        4.8801966063170115,
        4.880216155038082,
        4.880235703759153,
        4.880255729278299,
        4.880275277999369,
        4.880294826720441,
        4.880314375441511,
        4.880333924162582,
        4.880353949681728,
        4.880373498402799,
        4.88039304712387,
        4.88041259584494,
        4.8804321445660115,
        4.8804521700851575,
        4.880471718806228,
        4.880491267527299,
        4.88051081624837,
        4.880530364969441,
        4.880549913690512,
        4.880569939209657,
        4.880589487930728,
        4.8806090366518,
        4.88062858537287,
        4.880648134093941,
        4.8806676828150115,
        4.8806877083341575,
        4.880707257055229,
        4.880726805776299,
        4.88074635449737,
        4.880765903218442,
        4.880785451939512,
        4.880805000660583,
        4.880825026179728,
        4.8808445749008,
        4.880864123621871,
        4.880883672342941,
        4.880903221064012,
        4.880922769785083,
        4.880942318506154,
        4.880961867227225,
        4.880981415948296,
        4.881001441467442,
        4.881020990188512,
        4.881040538909583,
        4.8810600876306545,
        4.881079636351725,
        4.881099185072796,
        4.881118733793866,
        4.881138282514938,
        4.881157831236009,
        4.881177379957079,
        4.8811969286781505,
        4.881216477399221,
        4.881236026120292,
        4.881255574841363,
        4.8812756003605084,
        4.88129514908158,
        4.881314697802651,
        4.881334246523721,
        4.8813537952447925,
        4.881373343965863,
        4.881392892686934,
        4.881412441408005,
        4.881431990129076,
        4.881451538850147,
        4.881471087571217,
        4.8814906362922885,
        4.88151018501336,
        4.88152973373443,
        4.881549282455501,
        4.881568831176572,
        4.881588379897643,
        4.881607928618714,
        4.8816274773397845,
        4.881647026060856,
        4.881666574781926,
        4.881686123502997,
        4.881705672224068,
        4.881725220945139,
        4.88174476966621,
        4.8817643183872805,
        4.881783867108352,
        4.881803415829422,
        4.881822964550493,
        4.881842513271565,
        4.88186158519456,
        4.881881133915631,
        4.881900682636702,
        4.881920231357773,
        4.881939780078844,
        4.881959328799915,
        4.881978877520986,
        4.881998426242056,
        4.882017974963127,
        4.882037523684199,
        4.882057072405269,
        4.88207662112634,
        4.882096169847411,
        4.882115718568482,
        4.882134790491477,
        4.882154339212549,
        4.88217388793362,
        4.88219343665469,
        4.882212985375761,
        4.882232534096832,
        4.882252082817903,
        4.882271631538974,
        4.882291180260045,
        4.882310252183041,
        4.882329800904111,
        4.882349349625183,
        4.882368898346253,
        4.882388447067324,
        4.8824079957883955,
        4.882427544509466,
        4.882446616432462,
        4.882466165153533,
        4.882485713874604,
        4.882505262595674,
        4.882524811316745,
        4.882544360037817,
        4.882563908758887,
        4.8825829806818835,
        4.882602529402954,
        4.882622078124025,
        4.882641626845096,
        4.882661175566167,
        4.882680247489163,
        4.882699796210233,
        4.882719344931305,
        4.882738893652375,
        4.882758442373446,
        4.882777514296443,
        4.882797063017513,
        4.882816611738584,
        4.882836160459655,
        4.882855709180726,
        4.882874781103721,
        4.882894329824793,
        4.882913878545864,
        4.882933427266934,
        4.882952499189931,
        4.882972047911001,
        4.882991596632072,
        4.883011145353143,
        4.883030694074214,
        4.88304976599721,
        4.883069314718281,
        4.883088863439352,
        4.883107935362347,
        4.883127484083419,
        4.883147032804489,
        4.88316658152556,
        4.883185653448556,
        4.883205202169627,
        4.883224750890698,
        4.883244299611769,
        4.883263371534765,
        4.883282920255835,
        4.883302468976907,
        4.883321540899902,
        4.8833410896209735,
        4.883360638342045,
        4.883380187063115,
        4.8833992589861115,
        4.883418807707182,
        4.883438356428253,
        4.883457428351249,
        4.8836901058118,
        4.883709654532871,
        4.883728726455867,
        4.883748275176938,
        4.883767823898008,
        4.883786895821005,
        4.883806444542075,
        4.883825993263146,
        4.883845065186143,
        4.883864613907213,
        4.8838836858302095,
        4.88390323455128,
        4.883922783272351,
        4.883941855195347,
        4.883961403916418,
        4.883980475839413,
        4.884000024560485,
        4.884019573281556,
        4.884038645204551,
        4.884058193925623,
        4.884077265848618,
        4.8840968145696895,
        4.88411636329076,
        4.884135435213756,
        4.884154983934827,
        4.884174055857823,
        4.884193604578893,
        4.88421267650189,
        4.884232225222961,
        4.884251297145957,
        4.884270845867028,
        4.884289917790023,
        4.884309466511095,
        4.884329015232165,
        4.8843480871551614,
        4.884367635876232,
        4.884386707799228,
        4.884406256520299,
        4.884425328443295,
        4.884444877164366,
        4.884463949087362,
        4.884483497808433,
        4.884502569731429,
        4.8845221184525,
        4.884541190375495,
        4.884560739096567,
        4.884579811019562,
        4.884599359740633,
        4.884618431663629,
        4.8846379803847,
        4.884657052307696,
        4.884676601028767,
        4.884695672951763,
        4.884715221672834,
        4.88473429359583,
        4.884753842316901,
        4.884772914239897,
        4.884791986162893,
        4.884811534883964,
        4.884830606806959,
        4.884850155528031,
        4.884869227451026,
        4.884888776172097,
        4.884907848095093,
        4.884927396816164,
        4.884946468739161,
        4.884965540662156,
        4.884985089383227,
        4.885004161306223,
        4.885023710027294,
        4.88504278195029,
        4.885061853873286,
        4.8850814025943565,
        4.885100474517353,
        4.885120023238423,
        4.88513909516142,
        4.885158167084415,
        4.8851777158054865,
        4.885196787728482,
        4.885216336449553,
        4.885235408372549,
        4.885254480295545,
        4.885274029016617,
        4.885293100939612,
        4.885312649660683,
        4.885331721583679,
        4.885350793506675,
        4.885370342227746,
        4.885389414150742,
        4.885408486073738,
        4.885428034794809,
        4.8854471067178045,
        4.885466178640801,
        4.885485727361871,
        4.885504799284868,
        4.885523871207863,
        4.8855434199289345,
        4.88556249185193,
        4.8855815637749265,
        4.885601112495997,
        4.885620184418993,
        4.885639256341989,
        4.88565880506306,
        4.885677876986056,
        4.885696948909052,
        4.885716497630123,
        4.885735569553119,
        4.885754641476115,
        4.885773713399111,
        4.885793262120182,
        4.886100320080417,
        4.886119392003413,
        4.886138463926409,
        4.8861580126474795,
        4.886177084570476,
        4.8861961564934715,
        4.886215228416468,
        4.8862343003394635,
        4.886253849060535,
        4.88627292098353,
        4.886291992906527,
        4.886311064829522,
        4.886330136752519,
        4.886349685473589,
        4.8863687573965855,
        4.886387829319581,
        4.8864069012425775,
        4.886425973165573,
        4.886445521886644,
        4.88646459380964,
        4.886483665732636,
        4.886502737655632,
        4.886521809578628,
        4.886540881501624,
        4.886560430222695,
        4.886579502145691,
        4.886598574068687,
        4.886617645991683,
        4.886636717914679,
        4.886655789837675,
        4.886675338558746,
        4.886694410481741,
        4.886713482404738,
        4.886732554327733,
        4.88675162625073,
        4.886770698173725,
        4.886789770096722,
        4.886808842019717,
        4.886828390740789,
        4.886847462663784,
        4.8868665345867806,
        4.886885606509776,
        4.8869046784327725,
        4.886923750355768,
        4.8869428222787645,
        4.88696189420176,
        4.8869809661247565,
        4.887000038047752,
        4.8870191099707485,
        4.887038658691819,
        4.887057730614815,
        4.887076802537811,
        4.887095874460807,
        4.887114946383803,
        4.887134018306799,
        4.887153090229795,
        4.887286593690767,
        4.887305665613763,
        4.887324737536759,
        4.887343809459755,
        4.887362881382751,
        4.887381953305747,
        4.887401025228743,
        4.887420097151739,
        4.887439169074735,
        4.887458240997731,
        4.887477312920727,
        4.8874968616417975,
        4.887515456766719,
        4.887534528689715,
        4.887553600612711,
        4.887572672535707,
        4.887591744458702,
        4.887610816381699,
        4.887629888304694,
        4.887648960227691,
        4.887668032150686,
        4.887687104073683,
        4.887706175996678,
        4.887725247919675,
        4.88774431984267,
        4.887763391765667,
        4.887782463688662,
        4.887801535611659,
        4.887820607534654,
        4.887839679457651,
        4.887858751380646,
        4.887877823303643,
        4.887896895226638,
        4.887915967149635,
        4.88793503907263,
        4.887954110995627,
        4.887973182918622,
        4.887991778043544,
        4.888010849966539,
        4.888029921889536,
        4.888048993812531,
        4.888068065735527,
        4.888087137658523,
        4.888106209581519,
        4.888125281504515,
        4.888144353427511,
        4.888163425350507,
        4.888182020475428,
        4.8882010923984245,
        4.88822016432142,
        4.8882392362444165,
        4.888258308167412,
        4.8882773800904085,
        4.888296452013404,
        4.8883155239364005,
        4.888334119061321,
        4.888353190984318,
        4.888372262907313,
        4.888391334830309,
        4.888410406753305,
        4.888429478676301,
        4.888448550599297,
        4.888467145724218,
        4.888486217647214,
        4.88850528957021,
        4.888524361493206,
        4.888543433416202,
        4.888562505339198,
        4.888581100464119,
        4.8886001723871155,
        4.888619244310111,
        4.8886383162331075,
        4.888657388156103,
        4.888675983281024,
        4.88869505520402,
        4.888714127127016,
        4.888733199050012,
        4.888752270973008,
        4.888770866097929,
        4.888789938020925,
        4.888809009943921,
        4.888828081866917,
        4.888846676991839,
        4.888865748914834,
        4.888884820837831,
        4.888903892760826,
        4.888922964683823,
        4.888941559808743,
        4.888960631731739,
        4.888979703654735,
        4.888998775577731,
        4.8890173707026525,
        4.889036442625648,
        4.8890555145486445,
        4.88907458647164,
        4.889093181596562,
        4.889112253519557,
        4.889131325442553,
        4.889149920567474,
        4.88916899249047,
        4.889188064413466,
        4.889207136336462,
        4.889225731461384,
        4.889244803384379,
        4.889263875307376,
        4.889282470432296,
        4.889301542355293,
        4.889320614278288,
        4.889339686201284,
        4.8893582813262055,
        4.889377353249201,
        4.8893964251721975,
        4.889415020297118,
        4.889434092220115,
        4.88945316414311,
        4.889471759268032,
        4.8894908311910275,
        4.889509903114024,
        4.889528498238945,
        4.88954757016194,
        4.889566642084937,
        4.889585237209857,
        4.889604309132854,
        4.889623381055849,
        4.889641976180771,
        4.889661048103767,
        4.889679643228687,
        4.889698715151684,
        4.889717787074679,
        4.889736382199601,
        4.8897554541225965,
        4.889774526045593,
        4.889793121170514,
        4.88981219309351,
        4.889830788218431,
        4.889849860141426,
        4.889868932064423,
        4.889887527189344,
        4.88990659911234,
        4.889925194237261,
        4.889944266160257,
        4.889963338083253,
        4.8899819332081735,
        4.89000100513117,
        4.890019600256091,
        4.890038672179087,
        4.890057744102083,
        4.890076339227004,
        4.89009541115,
        4.8901140062749215,
        4.890133078197917,
        4.890151673322838,
        4.890170745245834,
        4.890189340370755,
        4.8902084122937515,
        4.890227484216747,
        4.890246079341669,
        4.890265151264664,
        4.890283746389585,
        4.890302818312581,
        4.890321413437502,
        4.890340485360499,
        4.890359080485419,
        4.890378152408416,
        4.8903967475333365,
        4.890415819456333,
        4.890434414581254,
        4.890453486504249,
        4.890472081629171,
        4.8904911535521665,
        4.890509748677088,
        4.890528820600084,
        4.890547415725004,
        4.890566487648001,
        4.890585082772922,
        4.890604154695918,
        4.890622749820839,
        4.890641821743835,
        4.890660416868756,
        4.890679488791752,
        4.890698083916673,
        4.890717155839669,
        4.89073575096459,
        4.890942681329096,
        4.890961276454018,
        4.890980348377013,
        4.890998943501935,
        4.8910180154249305,
        4.891036610549851,
        4.891055205674773,
        4.8910742775977685,
        4.89109287272269,
        4.891111944645686,
        4.891130539770607,
        4.891149134895528,
        4.891168206818524,
        4.891186801943445,
        4.891205873866441,
        4.891224468991362,
        4.891243064116283,
        4.89126213603928,
        4.8912807311642,
        4.891299326289121,
        4.891318398212118,
        4.891336993337038,
        4.891355588461959,
        4.8913746603849555,
        4.891393255509876,
        4.891411850634798,
        4.891430922557793,
        4.891449517682715,
        4.891468589605711,
        4.891487184730631,
        4.891505779855553,
        4.891524851778549,
        4.89154344690347,
        4.891562042028391,
        4.892590972274024,
        4.892609567398945,
        4.892628162523867,
        4.892646757648787,
        4.892665829571784,
        4.8926844246967045,
        4.892703019821625,
        4.892721614946547,
        4.892740210071468,
        4.892758805196388,
        4.89277740032131,
        4.892795995446231,
        4.892815067369227,
        4.892833662494148,
        4.892852257619069,
        4.89287085274399,
        4.892889447868911,
        4.892908042993833,
        4.8929266381187535,
        4.892945233243674,
        4.892963828368596,
        4.892982423493517,
        4.893001018618437,
        4.893020090541434,
        4.893038685666355,
        4.893057280791276,
        4.893075875916197,
        4.893094471041118,
        4.893113066166039,
        4.89313166129096,
        4.893150256415881,
        4.8931688515408025,
        4.893187446665723,
        4.893206041790645,
        4.893224636915566,
        4.893243232040486,
        4.893261827165408,
        4.893280422290329,
        4.8932990174152495,
        4.893317612540171,
        4.893336207665092,
        4.893354802790014,
        4.893373397914934,
        4.893391993039855,
        4.893410588164777,
        4.8934291832896974,
        4.893447778414618,
        4.89346637353954,
        4.893484968664461,
        4.893503563789382,
        4.893522158914303,
        4.893540754039224,
        4.893559349164145,
        4.893577944289066,
        4.893596539413987,
        4.8936151345389085,
        4.893633729663829,
        4.893652324788751,
        4.893670919913672,
        4.893689515038592,
        4.893708110163514,
        4.893726705288435,
        4.8937453004133555,
        4.893763895538277,
        4.893782490663198,
        4.89380108578812,
        4.89381968091304,
        4.893838276037961,
        4.893856871162883,
        4.8938754662878035,
        4.893894061412724,
        4.893912656537646,
        4.893931251662567,
        4.8939493699894125,
        4.893967965114334,
        4.893986560239255,
        4.894005155364176,
        4.894023750489097,
        4.894042345614018,
        4.89406094073894,
        4.8940795358638605,
        4.894098130988781,
        4.894116726113703,
        4.894135321238624,
        4.8941534395654696,
        4.894172034690391,
        4.894190629815312,
        4.894209224940233,
        4.894227820065154,
        4.894246415190075,
        4.894265010314997,
        4.8942836054399175,
        4.894301723766763,
        4.894320318891685,
        4.894338914016606,
        4.894357509141527,
        4.894376104266448,
        4.894394699391369,
        4.89441329451629,
        4.894542506794588,
        4.894561101919509,
        4.89457969704443,
        4.894598292169351,
        4.894616887294272,
        4.894635005621119,
        4.8946536007460395,
        4.89467219587096,
        4.894690790995882,
        4.894709386120803,
        4.894727504447649,
        4.89474609957257,
        4.894764694697491,
        4.894783289822412,
        4.894801884947333,
        4.894820003274179,
        4.8948385983991,
        4.894857193524022,
        4.8948757886489425,
        4.894893906975788,
        4.89491250210071,
        4.894931097225631,
        4.894949692350552,
        4.894967810677398,
        4.894986405802319,
        4.895005000927241,
        4.8950235960521615,
        4.8950417143790075,
        4.895060309503929,
        4.89507890462885,
        4.895097499753771,
        4.8951156180806175,
        4.895134213205538,
        4.895152808330459,
        4.895171403455381,
        4.8951895217822265,
        4.895208116907147,
        4.895226712032069,
        4.895244830358915,
        4.895263425483836,
        4.895282020608757,
        4.895300138935603,
        4.895318734060524,
        4.895337329185446,
        4.895355924310366,
        4.895374042637212,
        4.895392637762134,
        4.895411232887055,
        4.895429351213901,
        4.895447946338822,
        4.895466541463743,
        4.895484659790589,
        4.895503254915511,
        4.895521850040431,
        4.895539968367277,
        4.895558563492199,
        4.89557715861712,
        4.895595276943966,
        4.895613872068887,
        4.895632467193808,
        4.895650585520654,
        4.895669180645576,
        4.895687298972422,
        4.895705894097342,
        4.895724489222264,
        4.89574260754911,
        4.895761202674031,
        4.895779797798952,
        4.895797916125798,
        4.895816511250719,
        4.895834629577566,
        4.895853224702487,
        4.895871819827407,
        4.895889938154254,
        4.895908533279175,
        4.895926651606021,
        4.895945246730943,
        4.895963841855863,
        4.895981960182709,
        4.896000555307631,
        4.896018673634477,
        4.896037268759398,
        4.896055387086244,
        4.896073982211165,
        4.896092577336086,
        4.896110695662933,
        4.8961292907878535,
        4.898777427295846,
        4.90179365191766,
        4.901815584629105,
        4.90183751734055,
        4.901859450051996,
        4.901880905965366,
        4.901902838676811,
        4.901924771388257,
        4.901946704099703,
        4.901968636811148,
        4.901990569522593,
        4.902012025435964,
        4.902033958147409,
        4.902055890858854,
        4.9020778235703,
        4.902099756281745,
        4.902121212195116,
        4.902143144906561,
        4.902165077618006,
        4.902187010329452,
        4.902208466242822,
        4.902230398954267,
        4.902252331665713,
        4.902274264377159,
        4.902295720290529,
        4.902317653001974,
        4.9023395857134195,
        4.902361518424865,
        4.902382974338235,
        4.902404907049681,
        4.902426839761127,
        4.902448772472572,
        4.902470228385942,
        4.9024921610973875,
        4.902514093808833,
        4.902536026520278,
        4.902557482433648,
        4.9025794151450945,
        4.90260134785654,
        4.90262280376991,
        4.9026447364813555,
        4.902666669192801,
        4.902688125106171,
        4.902710057817616,
        4.902731990529062,
        4.902753923240508,
        4.902775379153878,
        4.902797311865323,
        4.902819244576769,
        4.902840700490139,
        4.902862633201584,
        4.90288456591303,
        4.9029060218264,
        4.902927954537846,
        4.902949410451217,
        4.902971343162662,
        4.902993275874107,
        4.9030147317874775,
        4.903036664498923,
        4.903058597210368,
        4.903080053123738,
        4.903101985835184,
        4.90312391854663,
        4.90314537446,
        4.903167307171445,
        4.903188763084816,
        4.903210695796261,
        4.903232628507706,
        4.903254084421077,
        4.903276017132522,
        4.9032974730458925,
        4.903319405757339,
        4.903340861670709,
        4.903362794382154,
        4.9033847270935995,
        4.90340618300697,
        4.903428115718415,
        4.903449571631786,
        4.903471504343231,
        4.903492960256601,
        4.903514892968047,
        4.903536825679493,
        4.903558281592863,
        4.903580214304308,
        4.903601670217679,
        4.903623602929124,
        4.9036450588424945,
        4.90366699155394,
        4.90368844746731,
        4.903710380178755,
        4.903731836092127,
        4.903753768803572,
        4.903775224716942,
        4.903797157428388,
        4.903818613341758,
        4.903840546053203,
        4.903862001966574,
        4.903883934678019,
        4.903905390591389,
        4.903927323302835,
        4.903948779216206,
        4.903970711927651,
        4.903992167841022,
        4.904014100552467,
        4.904035556465837,
        4.904057489177283,
        4.904078945090653,
        4.9041004010040234,
        4.904122333715469,
        4.904143789628839,
        4.904165722340285,
        4.904187178253656,
        4.904209110965101,
        4.904230566878471,
        4.904252499589917,
        4.904273955503287,
        4.9042954114166575,
        4.904317344128103,
        4.904338800041473,
        4.904360732752918,
        4.904382188666289,
        4.904403644579659,
        4.904425577291105,
        4.904447033204476,
        4.904468965915921,
        4.9044904218292915,
        4.904511877742662,
        4.904533810454107,
        4.904555266367478,
        4.904576722280848,
        4.904598654992293,
        4.904620110905664,
        4.90464204361711,
        4.90466349953048,
        4.904684955443851,
        4.904706888155296,
        4.904728344068666,
        4.904749799982037,
        4.904771732693482,
        4.9047931886068525,
        4.904814644520223,
        4.904836577231668,
        4.904858033145039,
        4.904879489058409,
        4.904901421769855,
        4.904922877683226,
        4.904944333596596,
        4.904966266308041,
        4.904987722221412,
        4.905009178134782,
        4.905030634048153,
        4.905052566759598,
        4.905074022672968,
        4.905095478586339,
        4.905117411297784,
        4.905138867211154,
        4.905160323124525,
        4.905181779037895,
        4.9052037117493414,
        4.905225167662712,
        4.905246623576082,
        4.905268079489453,
        4.905290012200898,
        4.905311468114268,
        4.905332924027639,
        4.905354379941009,
        4.9053763126524546,
        4.905397768565825,
        4.905419224479195,
        4.905440680392566,
        4.905462613104011,
        4.905484069017382,
        4.905505524930753,
        4.905526980844123,
        4.905548436757494,
        4.905570369468939,
        4.905591825382309,
        4.90561328129568,
        4.90563473720905,
        4.905656193122421,
        4.905678125833866,
        4.905699581747236,
        4.905721037660607,
        4.905742493573977,
        4.905763949487348,
        4.905785405400718,
        4.905807338112164,
        4.905828794025535,
        4.905850249938905,
        4.905871705852276,
        4.905893161765646,
        4.9059146176790165,
        4.905936550390462,
        4.905958006303832,
        4.905979462217203,
        4.906000918130573,
        4.9060223740439435,
        4.906043829957314,
        4.906065285870684,
        4.906086741784055,
        4.9061086744955,
        4.9061301304088705,
        4.906151586322241,
        4.906173042235612,
        4.906194498148983,
        4.906215954062353,
        4.9062374099757236,
        4.906258865889094,
        4.906280321802464,
        4.906301777715835,
        4.906323233629205,
        4.9063451663406505,
        4.906366622254021,
        4.906388078167391,
        4.906409534080762,
        4.906430989994132,
        4.906452445907503,
        4.906473901820873,
        4.906495357734244,
        4.906516813647614,
        4.9065382695609845,
        4.906559725474355,
        4.906581181387726,
        4.906602637301097,
        4.906624093214467,
        4.906645549127838,
        4.906667005041208,
        4.9066884609545784,
        4.906709916867949,
        4.906731372781319,
        4.90675282869469,
        4.90677428460806,
        4.906795740521431,
        4.906817196434801,
        4.9068386523481715,
        4.906860108261542,
        4.906881564174912,
        4.906903020088283,
        4.906924476001653,
        4.906945931915024,
        4.906967387828394,
        4.906988843741765,
        4.907010299655135,
        4.9070317555685055,
        4.907053211481876,
        4.907074667395247,
        4.907096123308618,
        4.907117579221988,
        4.9071390351353585,
        4.907160491048729,
        4.907181946962099,
        4.907202926077395,
        4.9072243819907655,
        4.907245837904136,
        4.907267293817506,
        4.907288749730877,
        4.907310205644247,
        4.907331661557618,
        4.907737893517432,
        4.907759349430803,
        4.907780805344173,
        4.907802261257544,
        4.907823717170914,
        4.907845173084285,
        4.90786615219958,
        4.907887608112951,
        4.907909064026321,
        4.907930519939692,
        4.907951975853062,
        4.907972954968358,
        4.907994410881728,
        4.908015866795099,
        4.908037322708469,
        4.9080587786218395,
        4.908079757737135,
        4.908101213650506,
        4.908122669563876,
        4.908144125477246,
        4.908165104592542,
        4.9081865605059125,
        4.908208016419283,
        4.908229472332653,
        4.908250451447949,
        4.9082719073613195,
        4.90829336327469,
        4.90831481918806,
        4.908335798303356,
        4.908357254216726,
        4.908378710130097,
        4.908400166043467,
        4.908421145158763,
        4.908442601072133,
        4.908464056985504,
        4.9084850361007994,
        4.90850649201417,
        4.90852794792754,
        4.908549403840911,
        4.908570382956206,
        4.908591838869577,
        4.908613294782947,
        4.908634273898243,
        4.908655729811613,
        4.908677185724984,
        4.908698164840279,
        4.90871962075365,
        4.90874107666702,
        4.908762055782316,
        4.908783511695686,
        4.908804967609057,
        4.9088259467243525,
        4.908847402637723,
        4.908868858551093,
        4.908889837666389,
        4.908911293579759,
        4.90893274949313,
        4.9089537286084255,
        4.908975184521796,
        4.908996163637092,
        4.909017619550462,
        4.9090390754638324,
        4.909060054579128,
        4.9090815104924985,
        4.909102966405869,
        4.909123945521165,
        4.909145401434535,
        4.909166380549831,
        4.909187836463201,
        4.909208815578497,
        4.909230271491867,
        4.909251727405238,
        4.909272706520533,
        4.909294162433904,
        4.909315141549199,
        4.90933659746257,
        4.909357576577865,
        4.909379032491236,
        4.909400488404606,
        4.909421467519902,
        4.909442923433272,
        4.909463902548568,
        4.9094853584619385,
        4.909506337577234,
        4.9095277934906045,
        4.9095487726059,
        4.909570228519271,
        4.909591207634566,
        4.909612663547937,
        4.909633642663232,
        4.909655098576603,
        4.909676554489973,
        4.909697533605269,
        4.909718989518639,
        4.909739968633935,
        4.909761424547305,
        4.909782403662601,
        4.909803382777897,
        4.909824838691267,
        4.909845817806563,
        4.909867273719933,
        4.909888252835229,
        4.909909708748599,
        4.909930687863895,
        4.909952143777265,
        4.909973122892561,
        4.909994578805931,
        4.910015557921227,
        4.9100370138345975,
        4.910057992949893,
        4.910078972065189,
        4.910100427978559,
        4.910121407093855,
        4.910142863007225,
        4.910163842122521,
        4.910185298035891,
        4.910206277151187,
        4.910227256266483,
        4.910248712179853,
        4.910269691295149,
        4.910291147208519,
        4.910312126323815,
        4.910333582237185,
        4.910354561352481,
        4.9103755404677765,
        4.910396996381147,
        4.9104179754964425,
        4.910438954611738,
        4.910460410525109,
        4.910481389640404,
        4.910502845553775,
        4.91052382466907,
        4.910544803784365,
        4.910566259697736,
        4.910587238813031,
        4.910608217928327,
        4.910629673841697,
        4.910650652956993,
        4.9106716320722885,
        4.910693087985659,
        4.910714067100955,
        4.91073504621625,
        4.910756502129621,
        4.910777481244916,
        4.910798460360212,
        4.910819916273582,
        4.910840895388878,
        4.910861874504174,
        4.910883330417544,
        4.91090430953284,
        4.910925288648135,
        4.910946267763431,
        4.9109677236768015,
        4.910988702792097,
        4.911009681907393,
        4.911031137820763,
        4.911052116936059,
        4.9110730960513544,
        4.91109407516665,
        4.9111155310800205,
        4.911136510195316,
        4.911157489310612,
        4.9111784684259066,
        4.911199924339278,
        4.911220903454573,
        4.911241882569868,
        4.911262861685164,
        4.911284317598534,
        4.91130529671383,
        4.911326275829126,
        4.911347254944421,
        4.911368710857792,
        4.911389689973087,
        4.911410669088383,
        4.911431648203679,
        4.911452627318974,
        4.911474083232345,
        4.91149506234764,
        4.911516041462936,
        4.911537020578232,
        4.911557999693527,
        4.911579455606898,
        4.911600434722193,
        4.911621413837489,
        4.911642392952785,
        4.911663372068079,
        4.911684827981451,
        4.911705807096745,
        4.911726786212041,
        4.911747765327337,
        4.911768744442632,
        4.911789723557928,
        4.911810702673224,
        4.911832158586594,
        4.91185313770189,
        4.911874116817185,
        4.911895095932481,
        4.911916075047777,
        4.911937054163072,
        4.911958033278368,
        4.911979489191738,
        4.912000468307034,
        4.91202144742233,
        4.912042426537625,
        4.912063405652921,
        4.912084384768216,
        4.912105363883511,
        4.912126342998807,
        4.9121473221141025,
        4.912168301229398,
        4.912189757142769,
        4.912210736258064,
        4.91223171537336,
        4.9122526944886555,
        4.912273673603951,
        4.912294652719247,
        4.9123156318345425,
        4.912336610949838,
        4.912357590065134,
        4.912378569180429,
        4.912399548295725,
        4.912420527411021,
        4.912441506526315,
        4.912462485641611,
        4.912483464756907,
        4.912504443872202,
        4.912525422987498,
        4.912546402102794,
        4.912567381218089,
        4.912588360333385,
        4.9126093394486805,
        4.912630318563976,
        4.912651297679272,
        4.912672276794567,
        4.912693255909863,
        4.912714235025159,
        4.912735214140454,
        4.912756193255749,
        4.912777172371045,
        4.91279815148634,
        4.912819130601636,
        4.912840109716932,
        4.912861088832227,
        4.912882067947523,
        4.9129030470628186,
        4.912924026178114,
        4.91294500529341,
        4.9129659844087055,
        4.912986963524001,
        4.913007942639297,
        4.913028921754592,
        4.913049900869888,
        4.913070879985183,
        4.913091859100478,
        4.913112838215774,
        4.91313381733107,
        4.913154796446365,
        4.913175298763586,
        4.913196277878882,
        4.913217256994177,
        4.913238236109473,
        4.913259215224769,
        4.913280194340064,
        4.91330117345536,
        4.913322152570656,
        4.91334313168595,
        4.913364110801246,
        4.913384613118467,
        4.9134055922337625,
        4.913426571349058,
        4.913447550464354,
        4.913468529579649,
        4.913489508694945,
        4.913510487810241,
        4.9135309901274615,
        4.913551969242757,
        4.913572948358052,
        4.9135939274733476,
        4.913614906588643,
        4.913635885703939,
        4.9136568648192345,
        4.913677367136455,
        4.913698346251751,
        4.913719325367047,
        4.913740304482342,
        4.913761283597638,
        4.913781785914859,
        4.913802765030154,
        4.913823744145449,
        4.913844723260745,
        4.91386570237604,
        4.913886681491336,
        4.913907183808557,
        4.9139281629238525,
        4.913949142039148,
        4.913970121154444,
        4.913990623471665,
        4.91401160258696,
        4.914032581702256,
        4.914053560817551,
        4.914074539932846,
        4.914095042250067,
        4.914116021365363,
        4.914137000480658,
        4.914157979595954,
        4.914178481913175,
        4.9141994610284705,
        4.914220440143766,
        4.914241419259062,
        4.914261921576282,
        4.914282900691577,
        4.914303879806873,
        4.914324382124094,
        4.9143453612393895,
        4.914366340354685,
        4.914387319469981,
        4.914407821787202,
        4.914428800902497,
        4.914449780017793,
        4.914470282335013,
        4.9144912614503085,
        4.914512240565604,
        4.914532742882825,
        4.914553721998121,
        4.914574701113416,
        4.914595203430637,
        4.914616182545933,
        4.914637161661228,
        4.914658140776524,
        4.914678643093744,
        4.9146996222090396,
        4.91472012452626,
        4.914741103641556,
        4.914762082756852,
        4.9147825850740725,
        4.914803564189368,
        4.914824543304664,
        4.914845045621885,
        4.91486602473718,
        4.914887003852475,
        4.914907506169696,
        4.9149284852849915,
        4.914948987602212,
        4.914969966717508,
        4.914990945832804,
        4.915011448150024,
        4.91503242726532,
        4.91505292958254,
        4.915073908697836,
        4.915094887813131,
        4.915115390130352,
        4.915136369245648,
        4.915156871562869,
        4.915177850678164,
        4.91519882979346,
        4.915219332110681,
        4.915240311225976,
        4.915260813543196,
        4.915281792658492,
        4.915302294975713,
        4.915323274091008,
        4.915344253206304,
        4.915364755523525,
        4.915385734638821,
        4.915406236956041,
        4.915427216071336,
        4.915447718388557,
        4.915468697503853,
        4.9154891998210735,
        4.915510178936369,
        4.91553068125359,
        4.915551660368886,
        4.915572162686106,
        4.915593141801402,
        4.915613644118622,
        4.915634623233918,
        4.9156551255511385,
        4.915676104666434,
        4.915696606983655,
        4.915717586098951,
        4.915738088416171,
        4.915759067531467,
        4.915779569848687,
        4.915800548963983,
        4.9158210512812035,
        4.915842030396499,
        4.91586253271372,
        4.915883511829016,
        4.915945495578752,
        4.915965997895973,
        4.9159869770112685,
        4.916007479328489,
        4.916028458443785,
        4.916048960761006,
        4.9160699398763015,
        4.916090442193521,
        4.916110944510742,
        4.916131923626038,
        4.916152425943259,
        4.916173405058554,
        4.916193907375775,
        4.916214409692996,
        4.916235388808292,
        4.916255891125512,
        4.916276870240807,
        4.916297372558028,
        4.916317874875249,
        4.916338853990545,
        4.916359356307765,
        4.916380335423061,
        4.916400837740281,
        4.916421340057502,
        4.9164423191727975,
        4.916462821490018,
        4.916483323807239,
        4.916504302922535,
        4.916524805239756,
        4.916545307556976,
        4.916566286672271,
        4.916586788989492,
        4.916607291306713,
        4.916628270422009,
        4.916648772739229,
        4.91666927505645,
        4.916690254171745,
        4.916710756488966,
        4.916731258806187,
        4.916752237921482,
        4.916772740238703,
        4.916793242555924,
        4.91681422167122,
        4.91683472398844,
        4.91685522630566,
        4.916875728622881,
        4.916896707738177,
        4.916917210055398,
        4.916937712372619,
        4.916958691487914,
        4.916979193805134,
        4.916999696122355,
        4.917020198439576,
        4.9170411775548715,
        4.917061679872092,
        4.917082182189313,
        4.917102684506533,
        4.917123663621829,
        4.91714416593905,
        4.91716466825627,
        4.917185170573491,
        4.917206149688787,
        4.917226652006008,
        4.917247154323228,
        4.9172676566404485,
        4.917288635755744,
        4.917309138072965,
        4.917329640390186,
        4.917350142707407,
        4.917370645024627,
        4.917391624139922,
        4.917412126457143,
        4.917432628774364,
        4.917453131091585,
        4.917473633408806,
        4.917494612524101,
        4.917515114841321,
        4.917535617158542,
        4.917556119475763,
        4.917576621792984,
        4.9175971241102046,
        4.9176181032255,
        4.91763860554272,
        4.917659107859941,
        4.917679610177162,
        4.917700112494383,
        4.9177206148116035,
        4.917741593926899,
        4.917762096244119,
        4.91778259856134,
        4.917803100878561,
        4.917823603195782,
        4.917844105513002,
        4.917864607830223,
        4.917885110147443,
        4.917906089262739,
        4.91792659157996,
        4.9179470938971805,
        4.917967596214401,
        4.917988098531622,
        4.918008600848842,
        4.918029103166063,
        4.918049605483284,
        4.918070107800505,
        4.9180906101177255,
        4.918111589233021,
        4.918132091550241,
        4.918152593867462,
        4.918173096184683,
        4.918193598501904,
        4.9182141008191245,
        4.918234603136345,
        4.918255105453565,
        4.918275607770786,
        4.918296110088007,
        4.918316612405228,
        4.918337114722449,
        4.9183576170396694,
        4.918378119356889,
        4.91839862167411,
        4.918419123991331,
        4.918439626308552,
        4.918460128625773,
        4.918480630942993,
        4.9185011332602135,
        4.918521635577434,
        4.918542137894655,
        4.918562640211876,
        4.918583142529097,
        4.918603644846317,
        4.918624147163538,
        4.9186446494807585,
        4.918665151797979,
        4.9186856541152,
        4.91870615643242,
        4.918726658749641,
        4.918747161066862,
        4.918767663384083,
        4.9187881657013035,
        4.918808668018524,
        4.918829170335744,
        4.918849672652965,
        4.918870174970186,
        4.918890677287407,
        4.918911179604628,
        4.918931681921848,
        4.918952184239068,
        4.918972686556289,
        4.91899318887351,
        4.919013691190731,
        4.919034193507952,
        4.919054695825172,
        4.919074721344318,
        4.919095223661539,
        4.9191157259787595,
        4.91913622829598,
        4.9191567306132,
        4.919177232930421,
        4.919197735247642,
        4.919218237564863,
        4.919238739882084,
        4.919259242199304,
        4.91927926771845,
        4.91929977003567,
        4.919320272352891,
        4.919340774670112,
        4.919361276987333,
        4.919381779304553,
        4.919402281621774,
        4.919422783938995,
        4.919442809458141,
        4.9194633117753614,
        4.919483814092581,
        4.919504316409802,
        4.919524818727023,
        4.919545321044244,
        4.919565346563389,
        4.91958584888061,
        4.919606351197831,
        4.919626853515052,
        4.919647355832272,
        4.919667858149493,
        4.919687883668638,
        4.919708385985859,
        4.91972888830308,
        4.919749390620301,
        4.919769892937522,
        4.919789918456667,
        4.919810420773888,
        4.919830923091109,
        4.919851425408329,
        4.91987192772555,
        4.919891953244695,
        4.919912455561916,
        4.919932957879137,
        4.919953460196358,
        4.919973485715503,
        4.919993988032724,
        4.920014490349945,
        4.920034992667166,
        4.920055018186312,
        4.920075520503532,
        4.920096022820752,
        4.920116525137973,
        4.920136550657119,
        4.92015705297434,
        4.92017755529156,
        4.920198057608781,
        4.920218083127927,
        4.920238585445148,
        4.920259087762369,
        4.920279590079589,
        4.920299615598735,
        4.9203201179159555,
        4.920340620233176,
        4.9203606457523215,
        4.920381148069542,
        4.920401650386763,
        4.920421675905909,
        4.92044217822313,
        4.92046268054035,
        4.920482706059496,
        4.920503208376717,
        4.920523710693938,
        4.920543736213084,
        4.920564238530304,
        4.9205847408475245,
        4.9206047663666705,
        4.920625268683891,
        4.920645771001112,
        4.920665796520257,
        4.920686298837478,
        4.920706801154699,
        4.920726826673845,
        4.920747328991065,
        4.920767831308286,
        4.920787856827432,
        4.920808359144653,
        4.920828861461874,
        4.920848886981019,
        4.92086938929824,
        4.920889414817386,
        4.9209099171346065,
        4.920930419451826,
        4.9209504449709724,
        4.920970947288193,
        4.920990972807339,
        4.92101147512456,
        4.92103197744178,
        4.921052002960926,
        4.921072505278147,
        4.921092530797293,
        4.921113033114513,
        4.921133058633659,
        4.92115356095088,
        4.921174063268101,
        4.921194088787246,
        4.921214591104467,
        4.921234616623613,
        4.921255118940834,
        4.92127514445998,
        4.9212956467771996,
        4.921315672296346,
        4.921336174613566,
        4.9213562001327125,
        4.921376702449932,
        4.921397204767153,
        4.921417230286299,
        4.92143773260352,
        4.921457758122665,
        4.921478260439886,
        4.921498285959032,
        4.921518788276253,
        4.921538813795399,
        4.921559316112619,
        4.921579341631765,
        4.921599843948986,
        4.921619869468132,
        4.921640371785352,
        4.921660397304498,
        4.921680899621719,
        4.921700925140865,
        4.92172095066001,
        4.921741452977231,
        4.921761478496377,
        4.921781980813598,
        4.921802006332743,
        4.921822508649964,
        4.92184253416911,
        4.9218630364863305,
        4.921883062005476,
        4.9219035643226965,
        4.9219235898418425,
        4.921943615360989,
        4.921964117678209,
        4.9219841431973546,
        4.922004645514575,
        4.922024671033721,
        4.922045173350942,
        4.922065198870087,
        4.9220852243892335,
        4.922105726706454,
        4.9221257522256,
        4.92214625454282,
        4.922166280061966,
        4.922186305581112,
        4.922206807898333,
        4.922226833417478,
        4.922246858936624,
        4.922267361253845,
        4.922287386772991,
        4.922307889090211,
        4.922327914609357,
        4.922347940128503,
        4.922368442445724,
        4.922388467964869,
        4.922408493484015,
        4.922428995801236,
        4.922449021320382,
        4.922469046839527,
        4.922489549156748,
        4.922509574675894,
        4.922529600195039,
        4.92255010251226,
        4.922570128031406,
        4.922590153550552,
        4.922610655867773,
        4.922630681386918,
        4.922650706906064,
        4.922671209223285,
        4.92269123474243,
        4.922711260261576,
        4.922731762578797,
        4.922751788097943,
        4.922771813617088,
        4.922792315934309,
        4.922812341453455,
        4.922832366972601,
        4.922852392491746,
        4.922872894808967,
        4.922892920328113,
        4.922912945847259,
        4.9229329713664045,
        4.922953473683625,
        4.922973499202771,
        4.922993524721917,
        4.923013550241063,
        4.923034052558283,
        4.9230540780774295,
        4.9230741035965755,
        4.923094129115721,
        4.9231146314329415,
        4.9231346569520875,
        4.923154682471233,
        4.923174707990379,
        4.9231952103075995,
        4.923215235826746,
        4.923235261345891,
        4.923255286865037,
        4.923275312384183,
        4.923295814701404,
        4.923315840220549,
        4.923335865739695,
        4.923355891258841,
        4.923375916777986,
        4.923396419095207,
        4.923416444614353,
        4.923436470133499,
        4.923456495652644,
        4.92347652117179,
        4.923496546690936,
        4.923517049008157,
        4.923537074527302,
        4.923557100046448,
        4.923577125565594,
        4.923597151084739,
        4.923617176603885,
        4.923637678921106,
        4.923657704440252,
        4.9236777299593975,
        4.9236977554785435,
        4.9237177809976895,
        4.923737806516836,
        4.923757832035981,
        4.923778334353202,
        4.923798359872348,
        4.923818385391494,
        4.923838410910639,
        4.923858436429785,
        4.923878461948931,
        4.923898487468076,
        4.923918512987222,
        4.923938538506368,
        4.923958564025513,
        4.923979066342734,
        4.92399909186188,
        4.924019117381026,
        4.924039142900171,
        4.924059168419317,
        4.924079193938463,
        4.924099219457609,
        4.924119244976755,
        4.924139270495901,
        4.924159296015047,
        4.924179321534192,
        4.924199347053338,
        4.924219372572484,
        4.92423939809163,
        4.924259423610775,
        4.924279449129921,
        4.924299951447142,
        4.924319976966287,
        4.924340002485433,
        4.924360028004579,
        4.924380053523725,
        4.92440007904287,
        4.924420104562016,
        4.924440130081162,
        4.924460155600308,
        4.924480181119454,
        4.9245002066386,
        4.924520232157746,
        4.924540257676891,
        4.924560283196037,
        4.924580308715183,
        4.924600334234328,
        4.924620359753474,
        4.92464038527262,
        4.924660410791766,
        4.924680436310911,
        4.924699985031983,
        4.924720010551129,
        4.924740036070274,
        4.92476006158942,
        4.924780087108566,
        4.924800112627711,
        4.924820138146857,
        4.924840163666003,
        4.924860189185148,
        4.924880214704294,
        4.92490024022344,
        4.924920265742586,
        4.9249402912617315,
        4.9249603167808775,
        4.924980342300024,
        4.925000367819169,
        4.92501991654024,
        4.925039942059386,
        4.925059967578531,
        4.925079993097677,
        4.925100018616823,
        4.925120044135969,
        4.925140069655114,
        4.9251600951742605,
        4.9251801206934065,
        4.925200146212552,
        4.925219694933623,
        4.925239720452769,
        4.925259745971914,
        4.92527977149106,
        4.925299797010206,
        4.925319822529352,
        4.925339848048497,
        4.925359396769569,
        4.925379422288715,
        4.92539944780786,
        4.925419473327006,
        4.925439498846152,
        4.925459524365297,
        4.925479549884443,
        4.925499098605514,
        4.925519124124659,
        4.9255391496438055,
        4.9255591751629515,
        4.9255792006820975,
        4.925598749403168,
        4.925618774922314,
        4.92563880044146,
        4.925658825960605,
        4.925678851479751,
        4.925698400200822,
        4.9257184257199675,
        4.925738451239114,
        4.92575847675826,
        4.925778502277405,
        4.925798050998476,
        4.925818076517622,
        4.925838102036767,
        4.925858127555913,
        4.925878153075059,
        4.92589770179613,
        4.925917727315276,
        4.925937752834422,
        4.925957778353568,
        4.925977327074638,
        4.925997352593784,
        4.92601737811293,
        4.926037403632075,
        4.926056952353147,
        4.926076977872293,
        4.926097003391438,
        4.926116552112509,
        4.926136577631655,
        4.9261566031508,
        4.926176628669946,
        4.9261961773910175,
        4.926216202910163,
        4.926236228429309,
        4.92625577715038,
        4.926275802669525,
        4.926295828188671,
        4.926315853707817,
        4.9263354024288875,
        4.9263554279480335,
        4.9263754534671795,
        4.92639500218825,
        4.926415027707396,
        4.926435053226542,
        4.926454601947612,
        4.926474627466758,
        4.926494652985904,
        4.926514201706975,
        4.926534227226121,
        4.926554252745267,
        4.926573801466337,
        4.926593826985483,
        4.926613852504629,
        4.9266334012257,
        4.926653426744846,
        4.926672975465917,
        4.926693000985062,
        4.926713026504208,
        4.926732575225279,
        4.9267526007444244,
        4.9267726262635705,
        4.926792174984642,
        4.926812200503787,
        4.926831749224858,
        4.926851774744004,
        4.926871800263149,
        4.9268913489842205,
        4.926911374503367,
        4.926930923224437,
        4.926950948743583,
        4.926970974262729,
        4.926990522983799,
        4.927010548502945,
        4.927030097224017,
        4.927050122743162,
        4.927069671464233,
        4.927089696983379,
        4.927109722502524,
        4.9271292712235955,
        4.9271492967427415,
        4.927168845463812,
        4.927188870982958,
        4.927208419704029,
        4.927228445223174,
        4.9272479939442455,
        4.9272680194633915,
        4.927287568184462,
        4.927307593703608,
        4.927327142424679,
        4.927347167943824,
        4.927366716664896,
        4.927386742184042,
        4.927406767703187,
        4.927426316424258,
        4.927446341943404,
        4.927465890664474,
        4.92748591618362,
        4.927505464904691,
        4.927525013625762,
        4.927545039144908,
        4.927564587865978,
        4.927584613385124,
        4.927604162106196,
        4.927624187625341,
        4.927643736346412,
        4.927663761865558,
        4.9276833105866285,
        4.9277033361057745,
        4.927722884826846,
        4.927742910345991,
        4.927762459067062,
        4.927782484586208,
        4.9278020333072785,
        4.92782158202835,
        4.927841607547496,
        4.927861156268566,
        4.927881181787712,
        4.9279007305087825,
        4.927920756027929,
        4.927940304749,
        4.92795985347007,
        4.927979878989216,
        4.927999427710287,
        4.928019453229433,
        4.928039001950504,
        4.928058550671575,
        4.92807857619072,
        4.9280981249117914,
        4.9281181504309375,
        4.928137699152008,
        4.928157247873079,
        4.928177273392224,
        4.9281968221132955,
        4.928216370834367,
        4.928236396353512,
        4.928255945074583,
        4.928275970593729,
        4.9282955193147995,
        4.928315068035871,
        4.928335093555017,
        4.928354642276087,
        4.928374190997158,
        4.9283942165163035,
        4.928413765237375,
        4.928433313958446,
        4.928453339477591,
        4.928472888198662,
        4.928492436919734,
        4.928512462438879,
        4.92853201115995,
        4.92855155988102,
        4.928571585400166,
        4.928591134121238,
        4.928610682842308,
        4.928630708361454,
        4.928650257082525,
        4.928669805803596,
        4.928689354524667,
        4.928709380043813,
        4.928728928764883,
        4.9287484774859545,
        4.9287685030051,
        4.928788051726171,
        4.928807600447242,
        4.928827149168312,
        4.9288471746874585,
        4.92886672340853,
        4.9288862721296,
        4.928905820850671,
        4.9289258463698165,
        4.928945395090888,
        4.928964943811959,
        4.928984492533029,
        4.929004518052175,
        4.929024066773247,
        4.929043615494317,
        4.929063164215388,
        4.929083189734533,
        4.9291027384556045,
        4.929122287176676,
        4.929141835897746,
        4.929161384618817,
        4.929181410137963,
        4.929200958859034,
        4.929220507580105,
        4.929240056301175,
        4.929259605022247,
        4.929279630541393,
        4.929299179262463,
        4.929318727983534,
        4.929338276704605,
        4.929357825425676,
        4.929377850944822,
        4.929397399665892,
        4.929416948386963,
        4.929436497108035,
        4.929456045829105,
        4.929475594550176,
        4.929495620069321,
        4.929515168790393,
        4.929534717511464,
        4.929554266232534,
        4.9295738149536055,
        4.929593363674676,
        4.929612912395747,
        4.929632937914893,
        4.9296524866359634,
        4.929672035357035,
        4.929691584078105,
        4.929711132799176,
        4.9297306815202475,
        4.929750230241318,
        4.929769778962389,
        4.9297893276834595,
        4.9298093532026055,
        4.929828901923677,
        4.929848450644747,
        4.929867999365818,
        4.92988754808689,
        4.92990709680796,
        4.929926645529031,
        4.9299461942501015,
        4.929965742971173,
        4.929985291692244,
        4.930004840413314,
        4.930024389134386,
        4.930044414653531,
        4.930063963374602,
        4.930083512095673,
        4.9301030608167435,
        4.930122609537815,
        4.930142158258885,
        4.930161706979956,
        4.930181255701028,
        4.930200804422098,
        4.930220353143169,
        4.9302399018642395,
        4.930259450585311,
        4.930278999306382,
        4.930298548027452,
        4.930318096748524,
        4.930337645469594,
        4.930357194190665,
        4.930376742911736,
        4.930396291632807,
        4.930415840353878,
        4.930435389074948,
        4.93045493779602,
        4.930474486517091,
        4.930494035238161,
        4.9305135839592324,
        4.930533132680303,
        4.930552681401374,
        4.930572230122445,
        4.930591778843516,
        4.930611327564587,
        4.930630876285657,
        4.9306504250067285,
        4.9306699737278,
        4.93068952244887,
        4.930709071169941,
        4.930728619891012,
        4.930748168612083,
        4.930767717333154,
        4.93078678925615,
        4.930806337977221,
        4.930825886698291,
        4.9308454354193625,
        4.930864984140433,
        4.930884532861504,
        4.930904081582575,
        4.930923630303646,
        4.930943179024717,
        4.930962727745787,
        4.9309822764668585,
        4.93100182518793,
        4.931020897110925,
        4.9310404458319965,
        4.931059994553067,
        4.931079543274138,
        4.9310990919952085,
        4.93111864071628,
        4.931138189437351,
        4.931157738158421,
        4.9311772868794925,
        4.931196358802488,
        4.931215907523559,
        4.9312354562446306,
        4.931255004965701,
        4.931274553686772,
        4.9312941024078425,
        4.931313651128914,
        4.931332723051909,
        4.9313522717729805,
        4.931371820494052,
        4.931391369215122,
        4.931410917936193,
        4.931430466657264,
        4.93144953858026,
        4.9314690873013305,
        4.931488636022402,
        4.931508184743473,
        4.931527733464543,
        4.93154680538754,
        4.93156635410861,
        4.931585902829681,
        4.931605451550753,
        4.931625000271823,
        4.931644072194819,
        4.93166362091589,
        4.931683169636961,
        4.931702718358031,
        4.9317222670791026,
        4.931741339002098,
        4.931760887723169,
        4.931780436444241,
        4.931799985165311,
        4.931819057088307,
        4.931838605809378,
        4.931858154530449,
        4.93187770325152,
        4.931896775174516,
        4.931916323895587,
        4.931935872616657,
        4.931955421337729,
        4.931974493260724,
        4.931994041981795,
        4.932013590702866,
        4.932033139423937,
        4.932052211346933,
        4.932071760068004,
        4.932091308789075,
        4.9321103807120705,
        4.932129929433142,
        4.932149478154212,
        4.932169026875283,
        4.93218809879828,
        4.93220764751935,
        4.932227196240421,
        4.932246268163417,
        4.932265816884488,
        4.9322853656055585,
        4.932304437528555,
        4.932323986249625,
        4.9323435349706966,
        4.932362606893693,
        4.932382155614763,
        4.932401704335835,
        4.93242077625883,
        4.932440324979901,
        4.932459873700972,
        4.932478945623968,
        4.9324984943450385,
        4.93251804306611,
        4.932537114989106,
        4.9325566637101765,
        4.932576212431248,
        4.932595284354243,
        4.932614833075315,
        4.93263390499831,
        4.932653453719381,
        4.932673002440453,
        4.932692074363448,
        4.932711623084519,
        4.93273117180559,
        4.933176024409471,
        4.933195096332467,
        4.933214645053538,
        4.933233716976534,
        4.933253265697605,
        4.9332723376206005,
        4.933291886341672,
        4.933310958264668,
        4.9333305069857385,
        4.933349578908735,
        4.933369127629805,
        4.933388199552802,
        4.933407748273872,
        4.9334268201968685,
        4.933446368917939,
        4.933465440840935,
        4.933484989562006,
        4.933504061485002,
        4.933523610206073,
        4.933542682129069,
        4.93356223085014,
        4.933581302773136,
        4.934294115895111,
        4.934313187818106,
        4.934332736539178,
        4.934351808462173,
        4.93437088038517,
        4.93439042910624,
        4.934409501029236,
        4.934428572952232,
        4.934448121673303,
        4.934467193596299,
        4.934486265519295,
        4.9345058142403655,
        4.934524886163362,
        4.9345439580863575,
        4.934563506807429,
        4.934582578730425,
        4.934601650653421,
        4.934620722576416,
        4.9346402712974875,
        4.934659343220484,
        4.9346784151434795,
        4.934697963864551,
        4.934717035787546,
        4.934736107710543,
        4.934755179633538,
        4.9347747283546095,
        4.934793800277605,
        4.9348128722006015,
        4.934831944123597,
        4.934851492844668,
        4.934870564767664,
        4.93488963669066,
        4.934908708613656,
        4.934928257334727,
        4.934947329257723,
        4.934966401180719,
        4.934985473103715,
        4.935005021824786,
        4.935024093747781,
        4.935043165670778,
        4.935062237593773,
        4.93508130951677,
        4.93510085823784,
        4.935119930160837,
        4.935139002083832,
        4.935158074006829,
        4.935177145929824,
        4.935196694650895,
        4.935215766573891,
        4.935234838496887,
        4.935253910419883,
        4.935272982342879,
        4.93529253106395,
        4.935311602986946,
        4.935330674909942,
        4.935349746832938,
        4.935368818755934,
        4.93538789067893,
        4.9354074394000005,
        4.935426511322997,
        4.9354455832459925,
        4.935464655168989,
        4.9354837270919845,
        4.935502799014981,
        4.9355218709379765,
        4.935541419659048,
        4.935560491582043,
        4.93557956350504,
        4.935598635428035,
        4.935617707351032,
        4.935636779274027,
        4.935655851197024,
        4.935674923120019,
        4.935693995043016,
        4.935713543764086,
        4.935732615687082,
        4.935751687610078,
        4.935770759533074,
        4.93578983145607,
        4.935808903379066,
        4.935827975302062,
        4.935847047225058,
        4.935866119148054,
        4.93588519107105,
        4.935904262994046,
        4.935923811715117,
        4.935942883638113,
        4.935961955561109,
        4.935981027484105,
        4.936000099407101,
        4.936019171330097,
        4.936038243253093,
        4.936057315176089,
        4.936076387099085,
        4.936095459022081,
        4.936114530945077,
        4.936133602868073,
        4.936152674791069,
        4.936171746714065,
        4.936190818637061,
        4.936209890560057,
        4.936228962483053,
        4.936248034406049,
        4.936267106329045,
        4.936286178252041,
        4.936305250175037,
        4.936324322098033,
        4.936343394021029,
        4.936362465944025,
        4.936381537867021,
        4.936400609790017,
        4.936419681713012,
        4.936438753636009,
        4.936457825559004,
        4.936476897482001,
        4.936495969404996,
        4.936515041327993,
        4.936534113250988,
        4.936553185173985,
        4.93657225709698,
        4.9365913290199765,
        4.936610400942972,
        4.9366294728659685,
        4.936648544788964,
        4.9366676167119605,
        4.936686688634956,
        4.9367057605579525,
        4.936724832480948,
        4.93674342760587,
        4.936762499528865,
        4.936781571451862,
        4.936800643374857,
        4.936819715297854,
        4.936838787220849,
        4.936857859143846,
        4.936876931066841,
        4.936896002989837,
        4.936915074912833,
        4.936934146835829,
        4.936953218758825,
        4.936971813883746,
        4.936990885806742,
        4.937009957729738,
        4.937029029652734,
        4.93704810157573,
        4.937067173498726,
        4.937086245421722,
        4.937105317344718,
        4.937123912469639,
        4.9371429843926355,
        4.937162056315631,
        4.9371811282386275,
        4.937200200161623,
        4.937219272084619,
        4.937238344007615,
        4.937256939132536,
        4.937276011055532,
        4.937295082978528,
        4.937314154901524,
        4.93733322682452,
        4.937352298747516,
        4.937370893872437,
        4.937389965795433,
        4.937409037718429,
        4.937428109641425,
        4.937447181564421,
        4.937465776689342,
        4.937484848612338,
        4.937503920535334,
        4.93752299245833,
        4.937542064381326,
        4.937560659506247,
        4.937579731429243,
        4.937598803352239,
        4.937617875275235,
        4.937636947198231,
        4.937655542323152,
        4.9376746142461485,
        4.937693686169144,
        4.9377127580921405,
        4.937731353217061,
        4.937750425140057,
        4.937769497063053,
        4.937788568986049,
        4.937807640909045,
        4.937826236033966,
        4.937845307956962,
        4.937864379879958,
        4.937883451802954,
        4.937902046927875,
        4.937921118850872,
        4.937940190773867,
        4.937958785898788,
        4.937977857821784,
        4.93799692974478,
        4.938016001667776,
        4.938034596792697,
        4.9380536687156935,
        4.938072740638689,
        4.938091335763611,
        4.938110407686606,
        4.938129479609603,
        4.938148551532598,
        4.938167146657519,
        4.938186218580515,
        4.938205290503511,
        4.938223885628433,
        4.938242957551428,
        4.938262029474425,
        4.938280624599345,
        4.938299696522342,
        4.938318768445337,
        4.938337363570258,
        4.9383564354932545,
        4.93837550741625,
        4.938394102541172,
        4.938413174464167,
        4.938432246387164,
        4.9384508415120845,
        4.938469913435081,
        4.938488508560002,
        4.938507580482997,
        4.938526652405994,
        4.938545247530914,
        4.938564319453911,
        4.938583391376906,
        4.938601986501828,
        4.938621058424824,
        4.938639653549744,
        4.938658725472741,
        4.938677797395736,
        4.938696392520658,
        4.9387154644436535,
        4.938734059568575,
        4.938753131491571,
        4.938772203414567,
        4.938790798539488,
        4.938809870462483,
        4.938828465587405,
        4.938847537510401,
        4.938866609433397,
        4.938885204558318,
        4.938904276481314,
        4.938922871606235,
        4.938941943529231,
        4.938960538654152,
        4.938979610577148,
        4.938998205702069,
        4.939017277625065,
        4.939036349548061,
        4.939054944672982,
        4.9390740165959786,
        4.939092611720899,
        4.939111683643895,
        4.9391302787688165,
        4.939149350691812,
        4.939167945816734,
        4.939187017739729,
        4.939205612864651,
        4.939224684787646,
        4.939243279912567,
        4.939262351835564,
        4.939280946960484,
        4.939300018883481,
        4.9393186140084016,
        4.939337685931398,
        4.939356281056319,
        4.939375352979314,
        4.939393948104236,
        4.9394130200272315,
        4.939431615152153,
        4.939450687075149,
        4.93946928220007,
        4.939488354123066,
        4.939506949247987,
        4.939526021170983,
        4.939544616295904,
        4.9395636882189,
        4.939582283343821,
        4.939600878468742,
        4.939619950391738,
        4.939638545516659,
        4.939657617439655,
        4.939676212564576,
        4.939695284487573,
        4.939713879612493,
        4.939732474737414,
        4.9397515466604105,
        4.939770141785331,
        4.939789213708328,
        4.939807808833248,
        4.939826880756245,
        4.939845475881166,
        4.939864071006086,
        4.939883142929083,
        4.939901738054004,
        4.939920809977,
        4.939939405101921,
        4.9399580002268415,
        4.939977072149838,
        4.939995667274759,
        4.940014739197755,
        4.940033334322676,
        4.9400519294475975,
        4.940071001370593,
        4.940089596495514,
        4.9401081916204355,
        4.940127263543431,
        4.940145858668353,
        4.940164453793273,
        4.940183525716269,
        4.940202120841191,
        4.940220715966111,
        4.940239787889108,
        4.9402583830140285,
        4.940277454937025,
        4.940296050061946,
        4.9403146451868665,
        4.940333717109863,
        4.940352312234784,
        4.940370907359705,
        4.940389502484626,
        4.940408574407622,
        4.940427169532543,
        4.940445764657464,
        4.94046483658046,
        4.940483431705381,
        4.940502026830302,
        4.940521098753298,
        4.940539693878219,
        4.940558289003141,
        4.9405768841280615,
        4.940595956051057,
        4.940614551175979,
        4.9406331463008994,
        4.940652218223896,
        4.940670813348817,
        4.940689408473737,
        4.940708003598659,
        4.940727075521655,
        4.940745670646576,
        4.940764265771497,
        4.940782860896418,
        4.940801932819414,
        4.940820527944335,
        4.9408391230692565,
        4.940857718194177,
        4.940876790117173,
        4.9408953852420945,
        4.940913980367015,
        4.940932575491937,
        4.940951647414932,
        4.940970242539853,
        4.940988837664775,
        4.941007432789696,
        4.941026027914617,
        4.941045099837613,
        4.9410636949625335,
        4.941082290087455,
        4.941100885212376,
        4.9411194803372975,
        4.941138552260293,
        4.941157147385214,
        4.9411757425101355,
        4.941194337635056,
        4.941212932759978,
        4.941231527884899,
        4.941250599807894,
        4.941269194932816,
        4.9412877900577366,
        4.941306385182658,
        4.941324980307579,
        4.9413435754325,
        4.941362647355496,
        4.941381242480417,
        4.941399837605338,
        4.941418432730259,
        4.94143702785518,
        4.941455622980102,
        4.941474218105022,
        4.941493290028018,
        4.94151188515294,
        4.94153048027786,
        4.941549075402782,
        4.941567670527703,
        4.9415862656526235,
        4.941604860777545,
        4.941623455902466,
        4.941642527825462,
        4.941661122950383,
        4.941679718075304,
        4.9416983132002255,
        4.941716908325146,
        4.941735503450067,
        4.941754098574989,
        4.941772693699909,
        4.941791288824831,
        4.941809883949752,
        4.9418284790746725,
        4.941847074199594,
        4.94186614612259,
        4.94188474124751,
        4.941903336372432,
        4.941921931497353,
        4.9419405266222745,
        4.941959121747195,
        4.941977716872116,
        4.941996311997038,
        4.942014907121958,
        4.942033502246879,
        4.942052097371801,
        4.9420706924967215,
        4.942089287621643,
        4.942107882746564,
        4.942126477871485,
        4.942145072996406,
        4.942163668121327,
        4.942182263246248,
        4.942200858371169,
        4.94221945349609,
        4.945279066742721,
        4.948747772737614,
        4.94876970544906,
        4.948791638160506,
        4.948814047670026,
        4.948835980381471,
        4.948857913092916,
        4.948880322602436,
        4.948902255313882,
        4.948924188025328,
        4.948946120736773,
        4.948968530246293,
        4.948990462957738,
        4.949012395669183,
        4.9490343283806295,
        4.9490567378901495,
        4.949078670601595,
        4.94910060331304,
        4.949122536024485,
        4.949144945534006,
        4.949166878245451,
        4.949188810956897,
        4.949210743668342,
        4.949232676379787,
        4.949255085889307,
        4.949277018600753,
        4.9492989513121985,
        4.949320884023644,
        4.949343293533164,
        4.949365226244609,
        4.949387158956055,
        4.9494090916675,
        4.949431024378946,
        4.949452957090391,
        4.949475366599911,
        4.949497299311356,
        4.949519232022802,
        4.9495411647342475,
        4.949563097445693,
        4.949585030157138,
        4.949607439666658,
        4.949629372378103,
        4.949651305089549,
        4.949673237800995,
        4.94969517051244,
        4.949717103223885,
        4.94973903593533,
        4.949761445444851,
        4.9497833781562965,
        4.949805310867742,
        4.949827243579187,
        4.949849176290632,
        4.9498711090020775,
        4.949893041713523,
        4.949914974424969,
        4.949936907136414,
        4.949959316645934,
        4.949981249357379,
        4.950003182068825,
        4.950025114780271,
        4.950047047491716,
        4.950068980203161,
        4.9500909129146065,
        4.950112845626052,
        4.950134778337497,
        4.950156711048942,
        4.950178643760388,
        4.9502005764718335,
        4.950222509183279,
        4.950244441894724,
        4.950266851404244,
        4.95028878411569,
        4.950310716827135,
        4.950332649538581,
        4.950354582250026,
        4.950376514961471,
        4.950398447672916,
        4.950420380384362,
        4.950442313095808,
        4.950464245807253,
        4.950486178518698,
        4.9505081112301434,
        4.950530043941589,
        4.950551976653034,
        4.95057390936448,
        4.950595842075925,
        4.9506177747873705,
        4.950639707498816,
        4.950661640210261,
        4.950683572921706,
        4.950705505633152,
        4.950727438344598,
        4.950749371056043,
        4.950771303767488,
        4.9507927596808585,
        4.950814692392304,
        4.950836625103749,
        4.950858557815195,
        4.95088049052664,
        4.950902423238086,
        4.950924355949531,
        4.950946288660976,
        4.950968221372421,
        4.950990154083867,
        4.951012086795313,
        4.951034019506758,
        4.951055952218203,
        4.951077884929648,
        4.951099340843019,
        4.951121273554464,
        4.951143206265909,
        4.951165138977355,
        4.951187071688801,
        4.951209004400246,
        4.951230937111691,
        4.951252869823136,
        4.951274802534582,
        4.951296258447952,
        4.951318191159398,
        4.951340123870843,
        4.951362056582289,
        4.951383989293734,
        4.951405922005179,
        4.951427854716624,
        4.951449310629995,
        4.951471243341441,
        4.951493176052886,
        4.951515108764331,
        4.951537041475777,
        4.951558974187222,
        4.951580430100592,
        4.951602362812038,
        4.951624295523484,
        4.951646228234929,
        4.951668160946374,
        4.951690093657819,
        4.95171154957119,
        4.951733482282635,
        4.95175541499408,
        4.953018929892564,
        4.953040385805935,
        4.9530623185173805,
        4.953084251228826,
        4.953105707142196,
        4.9531276398536415,
        4.953149095767012,
        4.953171028478457,
        4.953192484391828,
        4.953214417103273,
        4.953235873016644,
        4.953257805728089,
        4.953279738439535,
        4.95332312706435,
        4.953344582977721,
        4.953366515689166,
        4.953387971602536,
        4.954773546808195,
        4.954795002721565,
        4.95481693543301,
        4.954838391346381,
        4.954859847259751,
        4.954881303173122,
        4.954903235884568,
        4.954924691797938,
        4.954946147711309,
        4.954968080422754,
        4.954989536336124,
        4.955010992249495,
        4.955032448162865,
        4.95505438087431,
        4.955075836787681,
        4.955097292701051,
        4.955118748614422,
        4.955140204527792,
        4.955162137239237,
        4.955183593152608,
        4.955205049065979,
        4.95522650497935,
        4.955248437690795,
        4.955269893604165,
        4.955291349517536,
        4.955312805430906,
        4.955334261344277,
        4.955356194055722,
        4.955377649969092,
        4.955399105882463,
        4.955420561795833,
        4.955442017709204,
        4.955463473622574,
        4.955485406334019,
        4.95550686224739,
        4.955528318160761,
        4.955549774074131,
        4.955571229987502,
        4.955592685900872,
        4.955614618612318,
        4.955636074525688,
        4.955657530439058,
        4.955678986352429,
        4.955700442265799,
        4.95572189817917,
        4.95574335409254,
        4.955765286803985,
        4.955786742717356,
        4.955808198630726,
        4.955829654544097,
        4.955851110457467,
        4.955872566370838,
        4.955894022284209,
        4.955915478197579,
        4.95593693411095,
        4.95595839002432,
        4.9559803227357655,
        4.956001778649136,
        4.956023234562506,
        4.956044690475877,
        4.956066146389247,
        4.956087602302618,
        4.956109058215988,
        4.956130514129359,
        4.956151970042729,
        4.956173425956099,
        4.95619488186947,
        4.95621633778284,
        4.956237793696211,
        4.956259249609581,
        4.956280705522952,
        4.956302161436322,
        4.956324094147768,
        4.956345550061139,
        4.956367005974509,
        4.9563884618878795,
        4.95640991780125,
        4.95643137371462,
        4.956452829627991,
        4.956474285541361,
        4.956495741454732,
        4.956517197368102,
        4.956538653281473,
        4.956560109194843,
        4.9565815651082135,
        4.956603021021584,
        4.956645932848325,
        4.956667388761695,
        4.957573066704967,
        4.959036598395871,
        4.959058054309241,
        4.959121945251279,
        4.9591429243665734,
        4.959164380279944,
        4.9591853593952395,
        4.95920681530861,
        4.959227794423906,
        4.959249250337276,
        4.959270229452572,
        4.959291685365942,
        4.959312664481238,
        4.959334120394608,
        4.959355576307979,
        4.959376555423274,
        4.959398011336645,
        4.95941899045194,
        4.959440446365311,
        4.959461425480606,
        4.959482881393977,
        4.9595038605092725,
        4.959525316422643,
        4.959546295537939,
        4.959567751451309,
        4.959588730566605,
        4.9596097096819,
        4.959631165595271,
        4.959652144710566,
        4.959673600623937,
        4.9596945797392324,
        4.959716035652603,
        4.9597370147678985,
        4.959758470681269,
        4.959779449796565,
        4.959800905709935,
        4.959821884825231,
        4.959843340738601,
        4.959864319853897,
        4.959885298969192,
        4.959906754882563,
        4.9599277339978585,
        4.959949189911229,
        4.9599701690265245,
        4.959991624939895,
        4.960012604055191,
        4.960033583170486,
        4.960055039083857,
        4.960076018199152,
        4.960097474112523,
        4.960118453227818,
        4.960139432343114,
        4.9601608882564845,
        4.96018186737178,
        4.960202846487076,
        4.960224302400446,
        4.960245281515742,
        4.960266737429112,
        4.960287716544408,
        4.960308695659704,
        4.960330151573074,
        4.96035113068837,
        4.960372109803664,
        4.960393565717036,
        4.9604145448323305,
        4.960435523947626,
        4.9604569798609965,
        4.960477958976292,
        4.960498938091588,
        4.960520394004958,
        4.960541373120254,
        4.9605623522355495,
        4.96058380814892,
        4.960604787264216,
        4.960625766379511,
        4.960647222292882,
        4.960668201408177,
        4.960689180523473,
        4.960710636436843,
        4.960731615552139,
        4.960752594667435,
        4.96077357378273,
        4.960795029696101,
        4.960816008811396,
        4.960836987926692,
        4.9608584438400625,
        4.960879422955358,
        4.960900402070654,
        4.960921381185949,
        4.96094283709932,
        4.9609638162146155,
        4.960984795329911,
        4.961005774445206,
        4.961027230358576,
        4.961048209473872,
        4.961069188589168,
        4.961090167704463,
        4.961111146819759,
        4.961132602733129,
        4.961153581848425,
        4.961174560963721,
        4.961195540079016,
        4.961216995992387,
        4.961237975107682,
        4.961258954222978,
        4.9612799333382736,
        4.961300912453569,
        4.96132236836694,
        4.961343347482235,
        4.961364326597531,
        4.9613853057128265,
        4.961406284828122,
        4.961427263943418,
        4.961448719856788,
        4.961469698972084,
        4.961490678087379,
        4.961511657202674,
        4.96153263631797,
        4.961553615433266,
        4.961575071346636,
        4.961596050461932,
        4.961617029577227,
        4.961638008692523,
        4.9616589878078186,
        4.961679966923114,
        4.96170094603841,
        4.96172240195178,
        4.961743381067076,
        4.9617643601823715,
        4.961785339297667,
        4.961806318412963,
        4.9618272975282585,
        4.961848276643554,
        4.961869255758849,
        4.9618902348741445,
        4.961911690787515,
        4.961932669902811,
        4.961953649018106,
        4.961974628133402,
        4.9619956072486975,
        4.962016586363993,
        4.962037565479289,
        4.962058544594584,
        4.96207952370988,
        4.962100502825176,
        4.962121481940471,
        4.962142461055767,
        4.962163440171063,
        4.962184419286358,
        4.962205398401654,
        4.962226377516949,
        4.962247833430319,
        4.962268812545615,
        4.96228979166091,
        4.962310770776206,
        4.962331749891502,
        4.962352729006797,
        4.962373708122093,
        4.9623946872373885,
        4.962415666352684,
        4.96243664546798,
        4.962457624583275,
        4.962478603698571,
        4.962499582813867,
        4.962520561929162,
        4.962541541044458,
        4.962562520159753,
        4.962583499275048,
        4.962604478390344,
        4.96262545750564,
        4.962646436620935,
        4.962667415736231,
        4.962687918053452,
        4.962708897168747,
        4.962729876284043,
        4.962750855399339,
        4.962771834514634,
        4.96279281362993,
        4.962813792745226,
        4.962834771860521,
        4.962855750975816,
        4.962876730091112,
        4.962897709206407,
        4.962918688321703,
        4.9629396674369985,
        4.962960646552294,
        4.96298162566759,
        4.963002127984811,
        4.963023107100106,
        4.963044086215402,
        4.963065065330698,
        4.963086044445993,
        4.963107023561289,
        4.963128002676584,
        4.963148981791879,
        4.963169960907175,
        4.9631909400224705,
        4.963211442339691,
        4.963232421454987,
        4.963253400570283,
        4.963274379685578,
        4.963295358800874,
        4.9633163379161696,
        4.963337317031465,
        4.963357819348685,
        4.963378798463981,
        4.963399777579276,
        4.963420756694572,
        4.963441735809868,
        4.963462714925163,
        4.963483217242384,
        4.96350419635768,
        4.9635251754729754,
        4.963546154588271,
        4.963567133703567,
        4.963588112818862,
        4.963608615136082,
        4.963629594251378,
        4.963650573366674,
        4.963671552481969,
        4.963692531597265,
        4.963713033914486,
        4.963734013029781,
        4.963754992145077,
        4.963775971260373,
        4.9637964735775935,
        4.963817452692889,
        4.963838431808184,
        4.9638594109234795,
        4.963880390038775,
        4.963900892355996,
        4.963921871471292,
        4.963942850586587,
        4.963963829701883,
        4.963984332019104,
        4.964005311134399,
        4.964026290249695,
        4.964046792566915,
        4.964067771682211,
        4.964088750797506,
        4.964109729912802,
        4.964130232230023,
        4.964151211345318,
        4.964172190460614,
        4.96419316957591,
        4.9642136718931305,
        4.964234651008426,
        4.964255630123722,
        4.964276132440942,
        4.964297111556237,
        4.964318090671533,
        4.964338592988754,
        4.964359572104049,
        4.964380551219345,
        4.964401053536566,
        4.9644220326518615,
        4.964443011767157,
        4.964463514084377,
        4.964484493199673,
        4.964505472314968,
        4.964525974632189,
        4.964546953747485,
        4.9645679328627805,
        4.964588435180001,
        4.964609414295297,
        4.964630393410593,
        4.9646508957278135,
        4.964671874843108,
        4.964692377160329,
        4.964713356275625,
        4.96473433539092,
        4.964754837708141,
        4.964775816823437,
        4.9647967959387325,
        4.964817298255953,
        4.964838277371249,
        4.964858779688469,
        4.9648797588037645,
        4.96490073791906,
        4.964921240236281,
        4.964942219351577,
        4.9649627216687975,
        4.964983700784093,
        4.965004203101314,
        4.96502518221661,
        4.965046161331904,
        4.965066663649125,
        4.965087642764421,
        4.965108145081642,
        4.965129124196937,
        4.965149626514158,
        4.965170605629454,
        4.965191107946675,
        4.965212087061969,
        4.965233066177265,
        4.965253568494486,
        4.9652745476097815,
        4.965295049927002,
        4.965316029042298,
        4.965336531359519,
        4.965357510474814,
        4.965378012792035,
        4.96539899190733,
        4.965419494224551,
        4.9654404733398465,
        4.965460975657067,
        4.965481954772363,
        4.965502457089584,
        4.9655234362048795,
        4.9655439385221,
        4.965564917637395,
        4.965585419954616,
        4.9656063990699115,
        4.965626901387132,
        4.965647403704353,
        4.965668382819649,
        4.96568888513687,
        4.965709864252165,
        4.965730366569385,
        4.965751345684681,
        4.965771848001902,
        4.965792827117197,
        4.965813329434418,
        4.965833831751639,
        4.965854810866935,
        4.965875313184155,
        4.96589629229945,
        4.965916794616671,
        4.965937773731967,
        4.965958276049188,
        4.965978778366408,
        4.965999757481704,
        4.966020259798925,
        4.96604123891422,
        4.9660617412314405,
        4.966082243548661,
        4.966103222663957,
        4.966123724981178,
        4.9661447040964735,
        4.966165206413694,
        4.966185708730914,
        4.96620668784621,
        4.966227190163431,
        4.966247692480652,
        4.966268671595947,
        4.966289173913168,
        4.966309676230389,
        4.966330655345684,
        4.9663511576629045,
        4.9663721367782,
        4.966392639095421,
        4.966413141412642,
        4.966434120527937,
        4.966454622845158,
        4.966475125162378,
        4.966495627479599,
        4.966516606594895,
        4.9665371089121155,
        4.966557611229336,
        4.966578590344632,
        4.966599092661853,
        4.966619594979073,
        4.966640574094368,
        4.966661076411589,
        4.96668157872881,
        4.966702557844106,
        4.966723060161327,
        4.966743562478547,
        4.966764064795767,
        4.966785043911063,
        4.966805546228284,
        4.966826048545505,
        4.9668465508627255,
        4.966867529978021,
        4.966888032295242,
        4.966908534612462,
        4.966929036929683,
        4.966950016044978,
        4.966970518362199,
        4.96699102067942,
        4.967011522996641,
        4.967032502111937,
        4.9670530044291565,
        4.967073506746377,
        4.967094009063598,
        4.967114988178894,
        4.967135490496115,
        4.9671559928133355,
        4.9671764951305555,
        4.967196997447776,
        4.967217976563072,
        4.967238478880293,
        4.967258981197514,
        4.9672794835147345,
        4.967299985831954,
        4.967320488149175,
        4.967341467264471,
        4.967361969581692,
        4.967382471898913,
        4.967402974216133,
        4.967423476533353,
        4.967444455648649,
        4.96746495796587,
        4.967485460283091,
        4.9675059626003115,
        4.967526464917532,
        4.967546967234752,
        4.967567469551973,
        4.967588448667269,
        4.96760895098449,
        4.9676294533017105,
        4.967649955618931,
        4.967670457936152,
        4.967690960253372,
        4.967711462570593,
        4.967731964887814,
        4.967752944003109,
        4.96777344632033,
        4.967793948637551,
        4.967814450954771,
        4.967834953271992,
        4.967855455589213,
        4.9678759579064335,
        4.967896460223654,
        4.967916962540874,
        4.967937464858095,
        4.967957967175316,
        4.967978469492537,
        4.9679994486078325,
        4.968019950925053,
        4.968040453242274,
        4.968060955559494,
        4.968081457876715,
        4.968101960193936,
        4.968122462511157,
        4.9681429648283775,
        4.968163467145597,
        4.968183969462818,
        4.968204471780039,
        4.96822497409726,
        4.968245476414481,
        4.968265978731702,
        4.968286481048922,
        4.968306983366142,
        4.968327485683363,
        4.968347988000584,
        4.968368490317805,
        4.968388992635025,
        4.968409494952246,
        4.9684299972694665,
        4.968450499586687,
        4.968471001903908,
        4.968491504221129,
        4.968512006538349,
        4.96853250885557,
        4.968553011172791,
        4.9685735134900115,
        4.968594015807232,
        4.968614518124453,
        4.968635020441673,
        4.968655522758894,
        4.968676025076115,
        4.968696527393336,
        4.9687170297105565,
        4.9687375320277765,
        4.968758034344997,
        4.968778536662218,
        4.968798562181364,
        4.968819064498585,
        4.968839566815805,
        4.968860069133026,
        4.968880571450247,
        4.9689010737674675,
        4.968921576084688,
        4.968942078401909,
        4.968962580719129,
        4.96898308303635,
        4.969003585353571,
        4.969024087670792,
        4.969044113189938,
        4.969064615507158,
        4.9690851178243785,
        4.969105620141599,
        4.96912612245882,
        4.969146624776041,
        4.969167127093261,
        4.969187629410482,
        4.969207654929628,
        4.969228157246849,
        4.9692486595640695,
        4.969269161881289,
        4.96928966419851,
        4.969310166515731,
        4.969330668832952,
        4.969350694352098,
        4.969371196669318,
        4.969391698986539,
        4.96941220130376,
        4.96943270362098,
        4.9694527291401265,
        4.969473231457346,
        4.969493733774567,
        4.969514236091788,
        4.969534738409009,
        4.96955524072623,
        4.969575266245375,
        4.969595768562596,
        4.969616270879817,
        4.9696367731970374,
        4.969657275514258,
        4.969677301033403,
        4.969697803350624,
        4.969718305667845,
        4.969738807985066,
        4.969758833504212,
        4.969779335821432,
        4.969799838138653,
        4.969820340455874,
        4.96984036597502,
        4.9698608682922405,
        4.9698813706094604,
        4.969901872926681,
        4.969921898445827,
        4.969942400763048,
        4.969962903080269,
        4.969983405397489,
        4.970003430916635,
        4.970023933233856,
        4.970044435551077,
        4.9700649378682975,
        4.970084963387443,
        4.9701054657046635,
        4.970125968021884,
        4.97014599354103,
        4.97016649585825,
        4.970186998175471,
        4.970207023694617,
        4.970227526011838,
        4.970248028329059,
        4.970268530646279,
        4.970288556165425,
        4.970309058482646,
        4.9703295607998665,
        4.970349586319012,
        4.9703700886362325,
        4.970390590953453,
        4.970410616472599,
        4.97043111878982,
        4.97045162110704,
        4.970471646626186,
        4.970492148943407,
        4.970512174462553,
        4.970532676779774,
        4.970553179096994,
        4.97057320461614,
        4.970593706933361,
        4.970614209250582,
        4.970634234769727,
        4.970654737086948,
        4.970675239404168,
        4.9706952649233145,
        4.970715767240535,
        4.9707357927596805,
        4.970756295076901,
        4.970776797394122,
        4.970796822913268,
        4.970817325230488,
        4.970837350749634,
        4.970857853066855,
        4.970877878586001,
        4.970898380903222,
        4.970918883220442,
        4.970938908739588,
        4.970959411056809,
        4.970979436575955,
        4.970999938893175,
        4.971019964412321,
        4.971040466729542,
        4.971060969046762,
        4.971080994565908,
        4.971101496883128,
        4.9711215224022745,
        4.971142024719495,
        4.971162050238641,
        4.971182552555861,
        4.971202578075007,
        4.971223080392228,
        4.971243105911374,
        4.971263608228594,
        4.97128363374774,
        4.971304136064961,
        4.971324161584107,
        4.971344663901327,
        4.971364689420473,
        4.971385191737694,
        4.97140521725684,
        4.971425719574061,
        4.971445745093206,
        4.971466247410427,
        4.971486272929573,
        4.971506775246794,
        4.971526800765939,
        4.97154730308316,
        4.971567328602306,
        4.9715878309195265,
        4.971607856438672,
        4.9716283587558925,
        4.9716483842750385,
        4.971668409794185,
        4.9716889121114045,
        4.9717089376305506,
        4.971729439947771,
        4.971749465466917,
        4.971769967784137,
        4.971789993303283,
        4.971810495620504,
        4.97183052113965,
        4.9718505466587954,
        4.971871048976016,
        4.971891074495162,
        4.971911576812383,
        4.971931602331528,
        4.971951627850674,
        4.971972130167895,
        4.971992155687041,
        4.972012658004262,
        4.972032683523407,
        4.972052709042553,
        4.972073211359774,
        4.972093236878919,
        4.972113262398065,
        4.972133764715286,
        4.972153790234432,
        4.972174292551653,
        4.972194318070798,
        4.972214343589944,
        4.972234845907165,
        4.97225487142631,
        4.972274896945456,
        4.972295399262677,
        4.972315424781823,
        4.972335450300968,
        4.972355952618189,
        4.972375978137335,
        4.972396003656481,
        4.972416505973701,
        4.972436531492847,
        4.972456557011993,
        4.972477059329214,
        4.972497084848359,
        4.972517110367505,
        4.972537135886651,
        4.972557638203872,
        4.972577663723017,
        4.972597689242163,
        4.972618191559384,
        4.97263821707853,
        4.972658242597675,
        4.972678268116821,
        4.972698770434042,
        4.972718795953188,
        4.972738821472333,
        4.972759323789554,
        4.9727793493087,
        4.972799374827845,
        4.972819400346991,
        4.972839902664212,
        4.972859928183358,
        4.9728799537025035,
        4.9728999792216495,
        4.97292048153887,
        4.972940507058016,
        4.9729605325771615,
        4.972980558096308,
        4.973000583615454,
        4.9730210859326744,
        4.97304111145182,
        4.973061136970966,
        4.973081162490112,
        4.9731016648073325,
        4.973121690326478,
        4.973141715845624,
        4.97316174136477,
        4.973181766883915,
        4.973201792403061,
        4.973222294720282,
        4.973242320239428,
        4.973262345758573,
        4.973282371277719,
        4.973302396796865,
        4.973322899114086,
        4.973342924633231,
        4.973362950152377,
        4.973382975671523,
        4.973403001190668,
        4.973423026709814,
        4.97344305222896,
        4.973463554546181,
        4.973483580065326,
        4.973503605584472,
        4.973523631103618,
        4.973543656622764,
        4.97356368214191,
        4.973583707661056,
        4.9736042099782765,
        4.973624235497422,
        4.973644261016568,
        4.973664286535714,
        4.97368431205486,
        4.973704337574005,
        4.973724363093151,
        4.973744388612297,
        4.973764414131442,
        4.973784439650588,
        4.973804941967809,
        4.973824967486955,
        4.9738449930061,
        4.973865018525246,
        4.973885044044392,
        4.973905069563537,
        4.973925095082683,
        4.9739451206018295,
        4.9739651461209755,
        4.973985171640121,
        4.974005197159267,
        4.974025222678413,
        4.974045248197558,
        4.974065273716704,
        4.97408529923585,
        4.974105324754996,
        4.974125350274141,
        4.974145375793287,
        4.974165878110508,
        4.974185903629654,
        4.974205929148799,
        4.974225954667945,
        4.974245980187091,
        4.9742660057062364,
        4.9742860312253825,
        4.9743060567445285,
        4.974326082263674,
        4.97434610778282,
        4.974366133301966,
        4.974386158821112,
        4.974406184340257,
        4.974426209859403,
        4.974446235378549,
        4.974465784099619,
        4.974485809618765,
        4.9745058351379114,
        4.974525860657057,
        4.974545886176203,
        4.974565911695349,
        4.974585937214495,
        4.97460596273364,
        4.974625988252786,
        4.974646013771932,
        4.974666039291077,
        4.974686064810223,
        4.974706090329369,
        4.974726115848515,
        4.97474614136766,
        4.974766166886806,
        4.974786192405952,
        4.974806217925098,
        4.974825766646169,
        4.974845792165315,
        4.97486581768446,
        4.974885843203606,
        4.974905868722752,
        4.974925894241898,
        4.974945919761043,
        4.974965945280189,
        4.974985970799335,
        4.975005519520406,
        4.975025545039552,
        4.975045570558698,
        4.975065596077843,
        4.975085621596989,
        4.975105647116135,
        4.97512567263528,
        4.975145698154426,
        4.975165246875497,
        4.975185272394643,
        4.975205297913789,
        4.975225323432935,
        4.975245348952081,
        4.975265374471226,
        4.975284923192297,
        4.975304948711443,
        4.975324974230588,
        4.975344999749734,
        4.97536502526888,
        4.9753850507880255,
        4.975404599509097,
        4.975424625028243,
        4.975444650547388,
        4.975464676066534,
        4.97548470158568,
        4.975504250306751,
        4.975524275825896,
        4.975544301345042,
        4.9755643268641885,
        4.975584352383334,
        4.975603901104405,
        4.975623926623551,
        4.975643952142696,
        4.975663977661842,
        4.975683526382913,
        4.9757035519020585,
        4.9757235774212045,
        4.975743602940351,
        4.975763628459496,
        4.975783177180567,
        4.975803202699713,
        4.975823228218859,
        4.975843253738004,
        4.975862802459075,
        4.9758828279782215,
        4.975902853497367,
        4.975922402218438,
        4.975942427737584,
        4.975962453256729,
        4.975982478775875,
        4.976002027496946,
        4.9760220530160915,
        4.976697199090149,
        4.976756798849512,
        4.976776824368658,
        4.976796373089728,
        4.976816398608874,
        4.9768359473299455,
        4.976855972849091,
        4.976875521570162,
        4.976895547089308,
        4.976915095810378,
        4.976935121329524,
        4.97695514684867,
        4.976974695569741,
        4.976994721088887,
        4.977014269809958,
        4.977034295329103,
        4.977053844050174,
        4.97707386956932,
        4.977093418290391,
        4.977113443809537,
        4.977132992530607,
        4.977153018049753,
        4.977172566770824,
        4.97719259228997,
        4.977212141011041,
        4.977232166530187,
        4.977251715251257,
        4.977271740770403,
        4.9772912894914745,
        4.97731131501062,
        4.977330863731691,
        4.977350889250837,
        4.977370437971907,
        4.977390463491053,
        4.9774100122121245,
        4.97743003773127,
        4.977449586452341,
        4.977469611971487,
        4.977489160692557,
        4.977509186211703,
        4.977528734932775,
        4.97754876045192,
        4.977568309172991,
        4.977587857894061,
        4.977607883413207,
        4.977627432134279,
        4.977647457653424,
        4.977667006374495,
        4.977687031893641,
        4.977706580614711,
        4.977726606133857,
        4.977746154854929,
        4.977765703575999,
        4.977785729095145,
        4.977805277816216,
        4.977825303335361,
        4.977844852056433,
        4.977864400777503,
        4.977884426296649,
        4.97790397501772,
        4.9779240005368655,
        4.977943549257937,
        4.977963097979008,
        4.977983123498153,
        4.978002672219224,
        4.978022220940296,
        4.978042246459441,
        4.978061795180512,
        4.978081820699658,
        4.978101369420728,
        4.9781209181418,
        4.978140943660945,
        4.978160492382016,
        4.978180041103087,
        4.978200066622232,
        4.978219615343304,
        4.978239164064375,
        4.97825918958352,
        4.978278738304591,
        4.978298287025662,
        4.978318312544808,
        4.978337861265879,
        4.978357409986949,
        4.978377435506095,
        4.9783969842271665,
        4.978416532948237,
        4.978436081669308,
        4.978456107188454,
        4.9784756559095245,
        4.978495204630596,
        4.978515230149741,
        4.978534778870812,
        4.978554327591883,
        4.978573876312954,
        4.9785939018321,
        4.978613450553171,
        4.978632999274241,
        4.978653024793387,
        4.978672573514458,
        4.978692122235529,
        4.9787116709566,
        4.978731696475745,
        4.9787512451968166,
        4.978770793917888,
        4.978790342638958,
        4.978810368158104,
        4.9788299168791745,
        4.978849465600246,
        4.978869014321317,
        4.978888563042387,
        4.978908588561533,
        4.978928137282605,
        4.978947686003675,
        4.978967234724746,
        4.978986783445817,
        4.979006808964963,
        4.979026357686034,
        4.979045906407104,
        4.979065455128175,
        4.979085003849246,
        4.979105029368392,
        4.979124578089463,
        4.979144126810533,
        4.979163675531605,
        4.979183224252676,
        4.979203249771821,
        4.979222798492892,
        4.979242347213963,
        4.979261895935034,
        4.979281444656105,
        4.9793009933771755,
        4.9793210188963215,
        4.979340567617393,
        4.979360116338463,
        4.979379665059534,
        4.979399213780605,
        4.979418762501676,
        4.979438311222747,
        4.9794578599438175,
        4.9794778854629635,
        4.979497434184034,
        4.979516982905105,
        4.979536531626176,
        4.979556080347247,
        4.979575629068318,
        4.979595177789388,
        4.9796147265104596,
        4.979634275231531,
        4.979654300750676,
        4.979673849471747,
        4.979693398192818,
        4.979712946913889,
        4.97973249563496,
        4.97975204435603,
        4.979771593077102,
        4.979791141798172,
        4.979810690519243,
        4.979830239240314,
        4.979849787961385,
        4.979869336682456,
        4.979888885403526,
        4.979908434124598,
        4.979928459643744,
        4.979948008364814,
        4.979967557085885,
        4.9799871058069565,
        4.980006654528027,
        4.980026203249098,
        4.980846295937925,
        4.980865844658996,
        4.980885393380067,
        4.980904942101137,
        4.980924490822209,
        4.980943562745204,
        4.980963111466275,
        4.980982660187347,
        4.981002208908417,
        4.981021757629488,
        4.9810413063505585,
        4.98106085507163,
        4.981079926994626,
        4.981099475715697,
        4.981119024436768,
        4.981138573157838,
        4.981158121878909,
        4.981177670599981,
        4.981196742522976,
        4.981216291244047,
        4.981235839965118,
        4.981255388686189,
        4.981274937407259,
        4.981294486128331,
        4.981313558051326,
        4.981333106772397,
        4.981352655493469,
        4.981372204214539,
        4.98139175293561,
        4.981410824858606,
        4.981430373579677,
        4.981449922300748,
        4.981469471021819,
        4.98148901974289,
        4.981508091665885,
        4.981527640386957,
        4.981547189108027,
        4.981566737829098,
        4.981585809752094,
        4.981605358473165,
        4.981624907194236,
        4.981644455915307,
        4.981663527838303,
        4.981683076559373,
        4.981702625280445,
        4.981722174001516,
        4.981741245924511,
        4.981760794645583,
        4.981780343366653,
        4.981799892087724,
        4.98181896401072,
        4.981838512731791,
        4.981858061452861,
        4.981877133375858,
        4.981896682096929,
        4.981916230817999,
        4.981935779539071,
        4.981954851462066,
        4.981974400183137,
        4.981993948904208,
        4.982013020827204,
        4.9820325695482754,
        4.982052118269346,
        4.982071190192342,
        4.982090738913413,
        4.982110287634484,
        4.982129359557479,
        4.982148908278551,
        4.982168456999621,
        4.982187528922617,
        4.982207077643689,
        4.982226626364759,
        4.982245698287755,
        4.982265247008826,
        4.982284795729897,
        4.982303867652893,
        4.982323416373964,
        4.982342965095034,
        4.982362037018031,
        4.982381585739102,
        4.982401134460172,
        4.982420206383169,
        4.982439755104239,
        4.982458827027235,
        4.982478375748306,
        4.982497924469377,
        4.9825169963923726,
        4.982536545113444,
        4.982555617036439,
        4.982575165757511,
        4.982594714478582,
        4.982613786401577,
        4.982633335122649,
        4.982652407045644,
        4.982671955766715,
        4.982691504487786,
        4.982710576410782,
        4.982730125131853,
        4.982749197054849,
        4.98276874577592,
        4.982787817698916,
        4.982807366419987,
        4.982826915141057,
        4.982845987064054,
        4.982865535785124,
        4.982884607708121,
        4.982904156429191,
        4.982923228352187,
        4.982942777073259,
        4.982961848996254,
        4.982981397717325,
        4.983000469640321,
        4.983020018361392,
        4.983039090284388,
        4.983058639005459,
        4.9830777109284545,
        4.983097259649526,
        4.983116331572521,
        4.983135880293593,
        4.983154952216588,
        4.983174500937659,
        4.983193572860656,
        4.983213121581726,
        4.983232193504723,
        4.983251742225793,
        4.983270814148789,
        4.98329036286986,
        4.983309434792856,
        4.9833289835139265,
        4.983348055436923,
        4.983367604157993,
        4.98338667608099,
        4.983406224802061,
        4.9834252967250565,
        4.983444845446128,
        4.983463917369123,
        4.98348298929212,
        4.98350253801319,
        4.9835216099361865,
        4.983541158657257,
        4.983560230580253,
        4.983579779301324,
        4.98359885122432,
        4.983617923147316,
        4.983637471868387,
        4.9836565437913825,
        4.983676092512454,
        4.983695164435449,
        4.983714236358446,
        4.983733785079517,
        4.9837528570025125,
        4.983772405723584,
        4.983791477646579,
        4.983810549569576,
        4.983830098290646,
        4.9838491702136425,
        4.983868718934713,
        4.983887790857709,
        4.983906862780705,
        4.983926411501776,
        4.983945483424772,
        4.983964555347768,
        4.983984104068838,
        4.984003175991835,
        4.98402224791483,
        4.984041796635902,
        4.984060868558897,
        4.984079940481894,
        4.984099489202965,
        4.98411856112596,
        4.984137633048956,
        4.984157181770027,
        4.984176253693024,
        4.984195325616019,
        4.98421487433709,
        4.984233946260086,
        4.984253018183082,
        4.984272566904153,
        4.984291638827149,
        4.984310710750145,
        4.984330259471216,
        4.9843493313942115,
        4.984368403317208,
        4.984387952038278,
        4.984407023961275,
        4.98442609588427,
        4.984445167807267,
        4.984464716528337,
        4.9844837884513336,
        4.984502860374329,
        4.9845219322973255,
        4.984541481018396,
        4.984560552941392,
        4.984579624864388,
        4.984598696787384,
        4.984618245508455,
        4.984637317431451,
        4.984656389354447,
        4.984675461277443,
        4.984695009998514,
        4.98471408192151,
        4.984733153844506,
        4.984752225767502,
        4.984771774488573,
        4.984790846411569,
        4.984809918334565,
        4.984828990257561,
        4.984848062180557,
        4.984867610901627,
        4.984886682824624,
        4.984905754747619,
        4.984924826670616,
        4.984943898593611,
        4.984963447314683,
        4.984982519237678,
        4.985001591160675,
        4.98502066308367,
        4.985039735006667,
        4.985059283727737,
        4.985078355650733,
        4.985097427573729,
        4.985116499496725,
        4.985135571419721,
        4.985154643342717,
        4.985174192063788,
        4.985193263986784,
        4.98521233590978,
        4.985231407832776,
        4.985250479755772,
        4.985269551678768,
        4.985288623601764,
        4.985308172322835,
        4.9853272442458305,
        4.985346316168827,
        4.9853653880918225,
        4.985384460014819,
        4.9854035319378145,
        4.985422603860811,
        4.9854416757838065,
        4.985460747706803,
        4.985480296427873,
        4.98549936835087,
        4.985518440273865,
        4.985537512196862,
        4.985556584119857,
        4.985575656042854,
        4.985594727965849,
        4.985613799888846,
        4.985632871811841,
        4.985651943734838,
        4.985671015657833,
        4.98569008758083,
        4.9857096363019,
        4.985728708224896,
        4.985747780147892,
        4.985766852070888,
        4.985785923993884,
        4.98580499591688,
        4.985824067839876,
        4.985843139762872,
        4.985862211685868,
        4.9858812836088635,
        4.98590035553186,
        4.9859194274548555,
        4.985938499377852,
        4.9859575713008475,
        4.985976643223844,
        4.9859957151468395,
        4.986014787069836,
        4.9860338589928315,
        4.986052930915828,
        4.9860720028388235,
        4.98609107476182,
        4.9861101466848154,
        4.986129218607812,
        4.986148290530807,
        4.986167362453804,
        4.986186434376799,
        4.986205506299796,
        4.986224578222791,
        4.986243650145788,
        4.986262722068783,
        4.98628179399178,
        4.986300865914775,
        4.986319937837772,
        4.986339009760767,
        4.986358081683764,
        4.986377153606759,
        4.986396225529756,
        4.986415297452751,
        4.986434369375748,
        4.9864529645006685,
        4.986472036423664,
        4.9864911083466605,
        4.986510180269656,
        4.9865292521926525,
        4.986548324115648,
        4.9865673960386445,
        4.98658646796164,
        4.9866055398846365,
        4.986624611807632,
        4.9866436837306285,
        4.986662755653624,
        4.986681350778546,
        4.986700422701541,
        4.986719494624538,
        4.986738566547533,
        4.98675763847053,
        4.986776710393525,
        4.986795782316521,
        4.986814854239517,
        4.986833926162513,
        4.986852521287434,
        4.98687159321043,
        4.986890665133426,
        4.986909737056422,
        4.986928808979418,
        4.986947880902414,
        4.98696695282541,
        4.986985547950331,
        4.9870046198733275,
        4.987023691796323,
        4.9870427637193195,
        4.987061835642315,
        4.9870809075653115,
        4.987099502690232,
        4.987118574613228,
        4.987137646536224,
        4.98715671845922,
        4.987175790382216,
        4.987194385507137,
        4.9872134574301334,
        4.987232529353129,
        4.987251601276125,
        4.987270673199121,
        4.987289268324043,
        4.987308340247038,
        4.987327412170035,
        4.98734648409303,
        4.987365556016026,
        4.987384151140947,
        4.987403223063943,
        4.987422294986939,
        4.987441366909935,
        4.9874599620348565,
        4.987479033957852,
        4.9874981058808485,
        4.987517177803844,
        4.987535772928765,
        4.987554844851761,
        4.987573916774757,
        4.987592988697753,
        4.987611583822674,
        4.98763065574567,
        4.987649727668666,
        4.987668799591662,
        4.987687394716583,
        4.98770646663958,
        4.987725538562575,
        4.987744610485572,
        4.987763205610492,
        4.987782277533488,
        4.987801349456484,
        4.987819944581405,
        4.9878390165044015,
        4.987858088427397,
        4.987876683552319,
        4.987895755475314,
        4.987914827398311,
        4.987933899321306,
        4.987952494446227,
        4.9879715663692235,
        4.987990638292219,
        4.988009233417141,
        4.988028305340136,
        4.988047377263133,
        4.988065972388053,
        4.98808504431105,
        4.988104116234045,
        4.988122711358967,
        4.988141783281963,
        4.988160855204958,
        4.98817945032988,
        4.988198522252875,
        4.988217117377797,
        4.9882361893007925,
        4.988255261223789,
        4.98827385634871,
        4.988292928271706,
        4.988312000194702,
        4.988330595319622,
        4.988349667242619,
        4.98836826236754,
        4.988387334290536,
        4.988406406213532,
        4.988425001338453,
        4.988444073261449,
        4.9884626683863695,
        4.988481740309366,
        4.9885008122323615,
        4.988519407357283,
        4.988538479280279,
        4.9885570744052,
        4.988576146328196,
        4.988594741453117,
        4.988613813376113,
        4.988632885299109,
        4.98865148042403,
        4.988670552347026,
        4.9886891474719475,
        4.988708219394943,
        4.988726814519865,
        4.98874588644286,
        4.988764481567781,
        4.988783553490777,
        4.988802625413773,
        4.988821220538695,
        4.98884029246169,
        4.988858887586612,
        4.988877959509607,
        4.988896554634528,
        4.9889156265575245,
        4.988934221682445,
        4.988953293605442,
        4.9889718887303625,
        4.988990960653359,
        4.98900955577828,
        4.989028627701276,
        4.989047222826197,
        4.989066294749192,
        4.989084889874114,
        4.98910396179711,
        4.989122556922031,
        4.989141628845027,
        4.9891602239699475,
        4.989179295892944,
        4.989197891017865,
        4.989216962940861,
        4.989235558065782,
        4.9892541531907035,
        4.989273225113699,
        4.98929182023862,
        4.989310892161616,
        4.989329487286537,
        4.9893485592095335,
        4.989367154334454,
        4.989386226257451,
        4.989404821382371,
        4.989423416507292,
        4.989442488430289,
        4.989461083555209,
        4.989480155478206,
        4.9894987506031265,
        4.989517822526123,
        4.989536417651044,
        4.9895550127759645,
        4.989574084698961,
        4.989592679823882,
        4.989611751746878,
        4.989630346871799,
        4.98964894199672,
        4.989668013919716,
        4.989686609044637,
        4.989705204169558,
        4.989724276092554,
        4.989742871217475,
        4.989761943140471,
        4.989780538265392,
        4.989799133390314,
        4.989818205313309,
        4.989836800438231,
        4.9898553955631515,
        4.989874467486147,
        4.989893062611069,
        4.989911657735989,
        4.989930729658986,
        4.989949324783907,
        4.989967919908827,
        4.989986991831824,
        4.993055902640914,
        4.996613054678702,
        4.9966354641882225,
        4.9966578736977425,
        4.996679806409189,
        4.996702215918709,
        4.996724625428229,
        4.996747034937749,
        4.996768967649195,
        4.996791377158715,
        4.996813786668235,
        4.99683571937968,
        4.9968581288892,
        4.996880538398721,
        4.996902947908241,
        4.996924880619686,
        4.9969472901292065,
        4.996969699638727,
        4.996991632350173,
        4.997014041859693,
        4.997036451369213,
        4.997058860878734,
        4.997080793590179,
        4.997103203099699,
        4.997125612609219,
        4.997147545320665,
        4.997169954830185,
        4.997192364339705,
        4.99721429705115,
        4.99723670656067,
        4.997259116070191,
        4.997281048781637,
        4.997303458291157,
        4.997325867800677,
        4.997347800512123,
        4.997370210021643,
        4.997392142733088,
        4.997414552242608,
        4.997436961752129,
        4.997458894463574,
        4.997481303973094,
        4.997503713482614,
        4.99752564619406,
        4.9975480557035805,
        4.997569988415026,
        4.997592397924546,
        4.997614807434066,
        4.997636740145512,
        4.997659149655032,
        4.997681082366477,
        4.997703491875997,
        4.9977254245874425,
        4.997747834096963,
        4.9977702436064835,
        4.997792176317929,
        4.997814585827449,
        4.997836518538895,
        4.997858928048415,
        4.99788086075986,
        4.99790327026938,
        4.9979256797789,
        4.997947612490346,
        4.997970021999866,
        4.997991954711312,
        4.998014364220832,
        4.998036296932277,
        4.998058706441798,
        4.998080639153243,
        4.998103048662763,
        4.998124981374208,
        4.998147390883729,
        4.9981693235951745,
        4.998191733104695,
        4.99821366581614,
        4.99823607532566,
        4.998258008037106,
        4.998280417546626,
        4.998302350258071,
        4.998324759767591,
        4.9983466924790365,
        4.998369101988557,
        4.998391034700003,
        4.998413444209523,
        4.998435376920968,
        4.998457786430489,
        4.998479719141934,
        4.998501651853379,
        4.998524061362899,
        4.998545994074345,
        4.998568403583866,
        4.998590336295311,
        4.998612745804831,
        4.998634678516276,
        4.998657088025796,
        4.998679020737242,
        4.9987009534486875,
        4.9987233629582075,
        4.998745295669653,
        4.998767705179173,
        4.998789637890619,
        4.998811570602064,
        4.998833980111584,
        4.998855912823029,
        4.9988783223325495,
        4.998900255043996,
        4.998922187755441,
        4.998944597264961,
        4.998966529976406,
        4.998988939485926,
        4.999010872197372,
        4.9990328049088175,
        4.999055214418338,
        4.999077147129783,
        4.999099079841228,
        4.999121489350749,
        4.999143422062194,
        4.999165354773639,
        4.9991877642831595,
        4.999209696994605,
        4.999231629706051,
        4.999254039215571,
        4.999275971927016,
        4.999297904638461,
        4.999320314147981,
        4.9993422468594275,
        4.999364179570873,
        4.999386589080393,
        4.999408521791838,
        4.999430454503283,
        4.9994523872147285,
        4.999474796724249,
        4.999496729435695,
        4.99951866214714,
        4.99954107165666,
        4.999563004368105,
        4.999584937079551,
        4.9996068697909966,
        4.999629279300517,
        4.999651212011962,
        4.999673144723407,
        4.999695077434853,
        4.999717486944373,
        4.9997394196558185,
        4.999761352367264,
        4.999783285078709,
        4.99980569458823,
        4.999827627299675,
        4.99984956001112,
        4.999871492722566,
        4.999893902232086,
        4.999915834943531,
        4.999937767654977,
        4.999959700366422,
        4.9999816330778675,
        5.0000040425873875,
        5.000025975298833,
        5.000047908010278,
        5.000069840721724,
        5.000091773433169,
        5.000114182942689,
        5.000136115654135,
        5.00015804836558,
        5.000179981077026,
        5.000201913788471,
        5.000224323297991,
        5.0002462560094365,
        5.000268188720882,
        5.000290121432327,
        5.000312054143773,
        5.000333986855218,
        5.000355919566664,
        5.000378329076184,
        5.000400261787629,
        5.000422194499074,
        5.00044412721052,
        5.0004660599219655,
        5.000487992633411,
        5.000509925344856,
        5.000531858056301,
        5.000554267565822,
        5.000576200277267,
        5.000598132988713,
        5.000620065700158,
        5.000641998411603,
        5.000663931123048,
        5.0006858638344935,
        5.00070779654594,
        5.000729729257385,
        5.00075166196883,
        5.00077407147835,
        5.000796004189795,
        5.0008179369012415,
        5.000839869612687,
        5.000861802324132,
        5.000883735035577,
        5.0009056677470225,
        5.000927600458468,
        5.000949533169913,
        5.000971465881359,
        5.000993398592804,
        5.00101533130425,
        5.001037264015695,
        5.00105919672714,
        5.001081129438585,
        5.001103062150031,
        5.001124994861477,
        5.001146927572922,
        5.001168860284367,
        5.001190792995812,
        5.001212725707258,
        5.001234658418704,
        5.001256591130149,
        5.001278523841594,
        5.0013004565530395,
        5.001322389264485,
        5.00134432197593,
        5.001366254687375,
        5.001388187398821,
        5.0014101201102665,
        5.001432052821712,
        5.001453985533157,
        5.001475918244602,
        5.0014978509560475,
        5.001519783667494,
        5.001541716378939,
        5.001563649090384,
        5.001585581801829,
        5.001607514513275,
        5.00162944722472,
        5.002918709219249,
        5.002940165132619,
        5.0029620978440645,
        5.00298403055551,
        5.00300548646888,
        5.0030274191803255,
        5.003049351891771,
        5.003071284603216,
        5.003092740516586,
        5.0031146732280325,
        5.003136605939478,
        5.003158061852848,
        5.003179994564293,
        5.003201927275739,
        5.003223383189109,
        5.003245315900554,
        5.003267248612,
        5.003288704525371,
        5.003310637236816,
        5.003332569948261,
        5.003354025861632,
        5.003375958573077,
        5.003397891284522,
        5.003419347197893,
        5.003441279909338,
        5.003463212620784,
        5.0034846685341545,
        5.0035066012456,
        5.00352805715897,
        5.003549989870415,
        5.003571922581861,
        5.003593378495231,
        5.003615311206676,
        5.003636767120047,
        5.003658699831493,
        5.003680632542938,
        5.003702088456309,
        5.003724021167754,
        5.003745477081124,
        5.0037674097925695,
        5.003789342504015,
        5.003810798417385,
        5.00383273112883,
        5.003854187042201,
        5.003876119753647,
        5.003897575667017,
        5.003919508378463,
        5.003941441089908,
        5.003962897003278,
        5.003984829714724,
        5.004006285628094,
        5.004028218339539,
        5.00404967425291,
        5.004071606964356,
        5.004093062877726,
        5.0041149955891715,
        5.004136451502542,
        5.004158384213987,
        5.004179840127358,
        5.004201772838803,
        5.004223228752173,
        5.0042451614636185,
        5.004266617376989,
        5.004288550088435,
        5.0043100060018055,
        5.004331938713251,
        5.004353394626621,
        5.0043753273380664,
        5.004396783251437,
        5.004418715962882,
        5.004440171876253,
        5.004462104587698,
        5.004483560501068,
        5.004505493212514,
        5.004526949125885,
        5.00454888183733,
        5.0045703377507005,
        5.004592270462146,
        5.004613726375516,
        5.004635182288887,
        5.004657115000332,
        5.004678570913702,
        5.0047005036251475,
        5.004721959538519,
        5.004743892249964,
        5.0047653481633345,
        5.004786804076705,
        5.00480873678815,
        5.004830192701521,
        5.004852125412966,
        5.004873581326336,
        5.004895037239707,
        5.004916969951152,
        5.004938425864522,
        5.0049603585759685,
        5.004981814489339,
        5.005003270402709,
        5.005025203114155,
        5.005046659027525,
        5.0050681149408955,
        5.005090047652341,
        5.005111503565711,
        5.005132959479082,
        5.005154892190527,
        5.005176348103897,
        5.0051982808153435,
        5.005219736728714,
        5.005241192642084,
        5.00526312535353,
        5.0052845812669,
        5.0053060371802705,
        5.005327969891716,
        5.005349425805086,
        5.005370881718457,
        5.005392337631827,
        5.005414270343272,
        5.005435726256643,
        5.005457182170013,
        5.005479114881459,
        5.00550057079483,
        5.0055220267082,
        5.005543959419645,
        5.005565415333016,
        5.005586871246386,
        5.005608327159757,
        5.005630259871202,
        5.005651715784572,
        5.005673171697943,
        5.005695104409388,
        5.0057165603227585,
        5.005738016236129,
        5.005759472149499,
        5.0057814048609455,
        5.005802860774316,
        5.005824316687686,
        5.005845772601057,
        5.005867228514427,
        5.0058891612258725,
        5.005910617139243,
        5.005932073052613,
        5.005953528965984,
        5.005975461677429,
        5.0059969175907995,
        5.00601837350417,
        5.00603982941754,
        5.006061285330911,
        5.006083218042357,
        5.006104673955727,
        5.006126129869098,
        5.006147585782468,
        5.006169041695839,
        5.006190974407284,
        5.006212430320654,
        5.006233886234025,
        5.006255342147395,
        5.006276798060766,
        5.006298253974136,
        5.006320186685581,
        5.006341642598952,
        5.006363098512322,
        5.006384554425693,
        5.006406010339063,
        5.006427466252434,
        5.006448922165805,
        5.00647085487725,
        5.0064923107906205,
        5.006513766703991,
        5.006535222617361,
        5.006556678530732,
        5.006578134444102,
        5.006599590357473,
        5.006621046270843,
        5.006642978982288,
        5.006664434895659,
        5.006685890809029,
        5.0067073467224,
        5.00672880263577,
        5.006750258549141,
        5.006771714462511,
        5.006793170375882,
        5.006814626289253,
        5.006836082202623,
        5.006857538115994,
        5.006878994029364,
        5.006900926740809,
        5.00692238265418,
        5.00694383856755,
        5.006965294480921,
        5.006986750394291,
        5.0070082063076615,
        5.007029662221032,
        5.007051118134402,
        5.007072574047773,
        5.007094029961143,
        5.007115485874514,
        5.007136941787884,
        5.007158397701255,
        5.007179853614625,
        5.0072013095279955,
        5.007222765441367,
        5.007244221354737,
        5.007265677268108,
        5.007287133181478,
        5.0073085890948485,
        5.007330045008219,
        5.007351500921589,
        5.00737295683496,
        5.00739441274833,
        5.007415868661701,
        5.007437324575071,
        5.007458780488442,
        5.007480236401812,
        5.0075016923151825,
        5.007523148228553,
        5.007544604141923,
        5.007566060055294,
        5.007587515968664,
        5.007608971882035,
        5.007630427795405,
        5.007651883708776,
        5.007672862824071,
        5.007694318737442,
        5.007715774650812,
        5.0077372305641825,
        5.007758686477554,
        5.007780142390924,
        5.007801598304295,
        5.007823054217665,
        5.007844510131036,
        5.007865966044406,
        5.0078874219577765,
        5.007908401073072,
        5.0079298569864426,
        5.007951312899813,
        5.007972768813183,
        5.007994224726554,
        5.008015680639924,
        5.008037136553295,
        5.008058592466665,
        5.008080048380036,
        5.008101027495331,
        5.008122483408702,
        5.008143939322072,
        5.008165395235443,
        5.008186851148813,
        5.0082083070621835,
        5.008229286177479,
        5.0082507420908495,
        5.00827219800422,
        5.00829365391759,
        5.008315109830961,
        5.008336565744331,
        5.008357544859627,
        5.008379000772997,
        5.008400456686368,
        5.008421912599738,
        5.00844336851311,
        5.00846482442648,
        5.008485803541776,
        5.008507259455146,
        5.0085287153685165,
        5.008550171281887,
        5.008571150397183,
        5.008592606310553,
        5.0086140622239235,
        5.008635518137294,
        5.008656974050664,
        5.00867795316596,
        5.00869940907933,
        5.008720864992701,
        5.008742320906071,
        5.008763300021367,
        5.008784755934737,
        5.008806211848108,
        5.008827667761478,
        5.008848646876774,
        5.008870102790144,
        5.008891558703515,
        5.008913014616885,
        5.008933993732181,
        5.008955449645551,
        5.008976905558922,
        5.008997884674217,
        5.009019340587588,
        5.009040796500958,
        5.009062252414329,
        5.009083231529624,
        5.009104687442995,
        5.009126143356365,
        5.009147122471661,
        5.009168578385031,
        5.009190034298402,
        5.009211013413697,
        5.009232469327068,
        5.009253925240438,
        5.009274904355734,
        5.009296360269104,
        5.009317816182475,
        5.00933879529777,
        5.009360251211141,
        5.009381707124511,
        5.009402686239807,
        5.009424142153177,
        5.009445598066548,
        5.009466577181843,
        5.009488033095214,
        5.009509489008584,
        5.00953046812388,
        5.00955192403725,
        5.009572903152546,
        5.009594359065916,
        5.009615814979287,
        5.0096367940945825,
        5.009658250007953,
        5.009679229123249,
        5.009700685036619,
        5.0097221409499895,
        5.009743120065285,
        5.0097645759786555,
        5.009785555093951,
        5.009807011007322,
        5.009828466920692,
        5.009849446035988,
        5.009870901949358,
        5.009891881064654,
        5.009913336978024,
        5.00993431609332,
        5.00995577200669,
        5.009976751121986,
        5.009998207035356,
        5.010019662948727,
        5.010040642064022,
        5.010062097977393,
        5.0100830770926885,
        5.010104533006059,
        5.010125512121355,
        5.010146968034725,
        5.010167947150021,
        5.010189403063391,
        5.010210382178687,
        5.010231838092057,
        5.010252817207353,
        5.010274273120723,
        5.010295252236019,
        5.010316708149389,
        5.010337687264685,
        5.010359143178055,
        5.010380122293351,
        5.0104015782067215,
        5.010422557322017,
        5.010444013235388,
        5.010464992350683,
        5.010486448264054,
        5.010507427379349,
        5.01052888329272,
        5.010549862408015,
        5.010570841523311,
        5.010592297436681,
        5.010613276551977,
        5.0106347324653475,
        5.010655711580643,
        5.010677167494014,
        5.010698146609309,
        5.010719125724605,
        5.010740581637975,
        5.010761560753271,
        5.010783016666641,
        5.010803995781937,
        5.0108254516953075,
        5.010846430810603,
        5.010867409925898,
        5.010888865839269,
        5.010909844954564,
        5.010931300867935,
        5.01095227998323,
        5.010973259098526,
        5.010994715011896,
        5.011015694127192,
        5.011036673242487,
        5.011058129155858,
        5.011079108271153,
        5.011100564184524,
        5.0111215432998195,
        5.011142522415115,
        5.011163978328486,
        5.011184957443781,
        5.011205936559077,
        5.011227392472447,
        5.011248371587743,
        5.011269350703039,
        5.011290806616409,
        5.011311785731705,
        5.011332764847,
        5.011354220760371,
        5.011375199875666,
        5.011396178990962,
        5.0114176349043325,
        5.011438614019628,
        5.011459593134924,
        5.011480572250219,
        5.01150202816359,
        5.0115230072788854,
        5.011543986394181,
        5.0115654423075515,
        5.011586421422847,
        5.011607400538142,
        5.0116283796534375,
        5.011649835566808,
        5.011670814682104,
        5.011691793797399,
        5.01171324971077,
        5.011734228826065,
        5.011755207941361,
        5.011776187056657,
        5.011797642970027,
        5.011818622085323,
        5.011839601200618,
        5.011860580315914,
        5.01188155943121,
        5.01190301534458,
        5.011923994459876,
        5.011944973575171,
        5.011965952690467,
        5.011987408603837,
        5.012008387719133,
        5.012029366834429,
        5.012050345949724,
        5.01207132506502,
        5.01209278097839,
        5.012113760093686,
        5.012134739208981,
        5.012155718324276,
        5.012176697439572,
        5.0121981533529425,
        5.012219132468238,
        5.012240111583534,
        5.012261090698829,
        5.012282069814125,
        5.012303048929421,
        5.012324504842791,
        5.012345483958087,
        5.012366463073382,
        5.012387442188678,
        5.012408421303974,
        5.012429400419269,
        5.012450379534565,
        5.012471835447935,
        5.012492814563231,
        5.012513793678527,
        5.012534772793822,
        5.012555751909117,
        5.012576731024413,
        5.012597710139708,
        5.012618689255004,
        5.012640145168374,
        5.01266112428367,
        5.012682103398966,
        5.012703082514261,
        5.012724061629557,
        5.012745040744853,
        5.012766019860148,
        5.012786998975444,
        5.0128079780907395,
        5.012828957206035,
        5.012849936321331,
        5.012870915436626,
        5.012891894551922,
        5.0129133504652925,
        5.012934329580587,
        5.012955308695883,
        5.0129762878111785,
        5.012997266926474,
        5.01301824604177,
        5.0130392251570655,
        5.013060204272361,
        5.013081183387657,
        5.013102162502952,
        5.013123141618248,
        5.013144120733544,
        5.013165099848839,
        5.013186078964135,
        5.013207058079431,
        5.013228037194726,
        5.013249016310021,
        5.013269995425317,
        5.013290974540612,
        5.013311953655908,
        5.0133329327712035,
        5.013353911886499,
        5.013374891001795,
        5.01339587011709,
        5.013416849232386,
        5.013437828347682,
        5.013458807462977,
        5.013479786578273,
        5.013500765693569,
        5.013521744808864,
        5.01354272392416,
        5.013563703039455,
        5.01358468215475,
        5.013605661270046,
        5.013626163587267,
        5.013647142702562,
        5.013668121817858,
        5.013689100933154,
        5.013710080048449,
        5.013731059163745,
        5.013752038279041,
        5.013773017394336,
        5.013793996509632,
        5.0138149756249275,
        5.013835954740222,
        5.013856933855518,
        5.013877436172739,
        5.013898415288034,
        5.01391939440333,
        5.013940373518626,
        5.013961352633921,
        5.013982331749217,
        5.014003310864513,
        5.014024289979808,
        5.014045269095104,
        5.014065771412325,
        5.014086750527619,
        5.014107729642915,
        5.014128708758211,
        5.014149687873506,
        5.014170666988802,
        5.014191646104098,
        5.0142121484213185,
        5.014233127536614,
        5.01425410665191,
        5.014275085767205,
        5.014296064882501,
        5.014317043997797,
        5.014337546315017,
        5.014358525430312,
        5.014379504545608,
        5.0144004836609035,
        5.014421462776199,
        5.01444196509342,
        5.014462944208716,
        5.014483923324011,
        5.014504902439307,
        5.0145258815546025,
        5.014546383871823,
        5.014567362987118,
        5.014588342102414,
        5.014609321217709,
        5.01462982353493,
        5.014650802650226,
        5.0146717817655215,
        5.014692760880817,
        5.014713739996113,
        5.014734242313334,
        5.014755221428629,
        5.014776200543925,
        5.014797179659221,
        5.0148176819764405,
        5.014838661091736,
        5.014859640207032,
        5.014880142524253,
        5.014901121639548,
        5.014922100754844,
        5.0149430798701395,
        5.01496358218736,
        5.014984561302656,
        5.015005540417952,
        5.015026042735172,
        5.015047021850467,
        5.015068000965763,
        5.0150889800810585,
        5.015109482398279,
        5.015130461513575,
        5.015151440628871,
        5.0151719429460915,
        5.015192922061387,
        5.015213901176682,
        5.015234403493903,
        5.015255382609198,
        5.015276361724494,
        5.015296864041715,
        5.0153178431570105,
        5.015338822272306,
        5.015359324589527,
        5.015380303704823,
        5.015401282820118,
        5.015421785137338,
        5.015442764252634,
        5.015463266569855,
        5.01548424568515,
        5.015505224800446,
        5.015525727117667,
        5.015546706232962,
        5.015567685348258,
        5.015588187665479,
        5.015609166780774,
        5.0156296690979945,
        5.01565064821329,
        5.015671627328586,
        5.015692129645807,
        5.015713108761102,
        5.015733611078323,
        5.015754590193619,
        5.015775569308914,
        5.015796071626134,
        5.01581705074143,
        5.015837553058651,
        5.015858532173946,
        5.015879034491167,
        5.015900013606463,
        5.015920515923684,
        5.015941495038979,
        5.018616570638202,
        5.021873339888804,
        5.02189336540795,
        5.0219138677251705,
        5.0219338932443165,
        5.021954395561536,
        5.0219744210806825,
        5.021994923397903,
        5.022014948917049,
        5.022035451234269,
        5.022055476753415,
        5.022075979070636,
        5.022096004589782,
        5.022116506907003,
        5.022136532426148,
        5.022157034743369,
        5.022177060262515,
        5.022197562579736,
        5.022217588098881,
        5.022238090416102,
        5.022258115935248,
        5.022278618252469,
        5.022298643771614,
        5.022319146088835,
        5.022339171607981,
        5.022359673925202,
        5.022379699444347,
        5.022400201761568,
        5.022420227280714,
        5.0224407295979345,
        5.02246075511708,
        5.022480780636226,
        5.0225012829534466,
        5.022521308472593,
        5.022541810789813,
        5.022561836308959,
        5.022582338626179,
        5.0226023641453255,
        5.022622389664471,
        5.0226428919816914,
        5.0226629175008375,
        5.022683419818058,
        5.022703445337204,
        5.0227234708563495,
        5.02274397317357,
        5.022763998692716,
        5.022784501009937,
        5.022804526529082,
        5.022824552048228,
        5.022845054365449,
        5.022865079884595,
        5.022885582201815,
        5.022905607720961,
        5.022925633240107,
        5.022946135557328,
        5.022966161076473,
        5.022986186595619,
        5.02300668891284,
        5.023026714431986,
        5.023047216749206,
        5.023067242268352,
        5.023087267787498,
        5.023107770104719,
        5.023127795623864,
        5.02314782114301,
        5.023168323460231,
        5.023188348979377,
        5.023208374498522,
        5.023228400017668,
        5.023248902334889,
        5.023268927854034,
        5.02328895337318,
        5.023309455690401,
        5.023329481209547,
        5.023349506728692,
        5.023370009045913,
        5.023390034565059,
        5.023410060084205,
        5.0234300856033505,
        5.023450587920571,
        5.023470613439717,
        5.023490638958863,
        5.023511141276083,
        5.023531166795229,
        5.023551192314375,
        5.0235712178335215,
        5.023591720150741,
        5.023611745669887,
        5.0236317711890335,
        5.0236517967081795,
        5.0236722990253995,
        5.0236923245445455,
        5.0237123500636915,
        5.023732375582837,
        5.0237528779000575,
        5.023772903419204,
        5.02379292893835,
        5.023812954457495,
        5.023832979976641,
        5.023853482293862,
        5.023873507813008,
        5.023893533332153,
        5.023913558851299,
        5.023933584370445,
        5.023954086687666,
        5.023974112206811,
        5.023994137725957,
        5.024014163245103,
        5.024034188764248,
        5.024054691081469,
        5.024074716600615,
        5.024094742119761,
        5.024114767638906,
        5.024134793158052,
        5.024154818677198,
        5.024175320994419,
        5.024195346513564,
        5.02421537203271,
        5.024235397551856,
        5.0242554230710015,
        5.0242754485901475,
        5.024295474109294,
        5.024315976426514,
        5.0243360019456595,
        5.024356027464806,
        5.024376052983952,
        5.024396078503098,
        5.024416104022243,
        5.024436129541389,
        5.024456155060535,
        5.024476657377755,
        5.024496682896901,
        5.024516708416047,
        5.024536733935193,
        5.024556759454338,
        5.024576784973484,
        5.02459681049263,
        5.024616836011775,
        5.024636861530921,
        5.024656887050067,
        5.0246769125692134,
        5.024697414886433,
        5.024717440405579,
        5.0247374659247255,
        5.024757491443871,
        5.024777516963017,
        5.024797542482163,
        5.024817568001309,
        5.024837593520454,
        5.0248576190396,
        5.024877644558746,
        5.024897670077891,
        5.024917695597037,
        5.024937721116183,
        5.024957746635329,
        5.024977772154474,
        5.02499779767362,
        5.0250178231927665,
        5.025037848711912,
        5.025057874231058,
        5.025077899750204,
        5.02509792526935,
        5.025117950788495,
        5.025137976307641,
        5.025158001826787,
        5.025178027345932,
        5.025198052865078,
        5.025218078384224,
        5.02523810390337,
        5.025258129422515,
        5.025278154941661,
        5.0252981804608075,
        5.025318205979953,
        5.025338231499099,
        5.025358257018245,
        5.02537828253739,
        5.025398308056536,
        5.025418333575682,
        5.025438359094828,
        5.025458384613973,
        5.025478410133119,
        5.02549795885419,
        5.0255179843733355,
        5.025538009892482,
        5.025558035411628,
        5.025578060930773,
        5.025598086449919,
        5.025618111969065,
        5.025638137488211,
        5.025658163007356,
        5.025678188526502,
        5.025698214045648,
        5.025717762766718,
        5.0257377882858645,
        5.0257578138050105,
        5.025777839324156,
        5.025797864843302,
        5.025817890362448,
        5.025837915881594,
        5.025857941400739,
        5.025877966919885,
        5.025897515640956,
        5.025917541160101,
        5.025937566679247,
        5.025957592198393,
        5.025977617717539,
        5.025997643236685,
        5.026017191957756,
        5.026037217476901,
        5.026057242996047,
        5.026077268515193,
        5.026097294034339,
        5.026117319553484,
        5.0261368682745555,
        5.026156893793702,
        5.026176919312847,
        5.026196944831993,
        5.026216970351139,
        5.026236995870284,
        5.026256544591355,
        5.026276570110501,
        5.026296595629646,
        5.026316621148792,
        5.0263366466679384,
        5.026356195389009,
        5.026376220908155,
        5.026396246427301,
        5.026416271946447,
        5.026435820667517,
        5.026455846186663,
        5.026475871705809,
        5.0264958972249545,
        5.026515445946026,
        5.026535471465172,
        5.026555496984317,
        5.026575522503463,
        5.026595071224534,
        5.026615096743679,
        5.026635122262825,
        5.026655147781971,
        5.026674696503042,
        5.026694722022188,
        5.026714747541334,
        5.026734773060479,
        5.02675432178155,
        5.026774347300696,
        5.026794372819841,
        5.026813921540913,
        5.026833947060059,
        5.026853972579204,
        5.02687399809835,
        5.026893546819421,
        5.026913572338566,
        5.026933597857712,
        5.026953146578784,
        5.026973172097929,
        5.026993197617075,
        5.027012746338146,
        5.027032771857291,
        5.027052797376437,
        5.027072346097508,
        5.0270923716166545,
        5.0271123971358,
        5.027131945856871,
        5.027151971376017,
        5.027171996895162,
        5.027191545616233,
        5.027211571135379,
        5.0272315966545245,
        5.027251145375596,
        5.027271170894742,
        5.027290719615812,
        5.027310745134958,
        5.027330770654104,
        5.0273503193751745,
        5.0273703448943206,
        5.027390370413467,
        5.027409919134537,
        5.027429944653683,
        5.027449493374753,
        5.027469518893899,
        5.027489544413045,
        5.027509093134116,
        5.027529118653262,
        5.027548667374333,
        5.0285232426394275,
        5.030092861901997,
        5.030112410623068,
        5.030131959344138,
        5.0301515080652095,
        5.0301715335843555,
        5.030191082305426,
        5.030210631026497,
        5.0302301797475675,
        5.030249728468639,
        5.030269277189709,
        5.03028882591078,
        5.0303083746318515,
        5.030328400150997,
        5.030347948872068,
        5.030367497593139,
        5.0303870463142095,
        5.030406595035281,
        5.030426143756351,
        5.030445692477422,
        5.030465241198494,
        5.030484789919564,
        5.030504338640635,
        5.0305238873617055,
        5.030543436082777,
        5.030563461601923,
        5.030583010322993,
        5.030602559044064,
        5.030622107765135,
        5.030641656486206,
        5.030661205207277,
        5.030680753928348,
        5.030700302649419,
        5.030719851370489,
        5.03073940009156,
        5.030758948812632,
        5.030778497533702,
        5.030798046254773,
        5.030817594975844,
        5.030837143696915,
        5.030856692417986,
        5.030876241139056,
        5.030895789860128,
        5.030915338581198,
        5.030934887302269,
        5.0309544360233405,
        5.030973984744411,
        5.030993533465482,
        5.031013082186552,
        5.031032630907624,
        5.031052179628695,
        5.031071728349765,
        5.0310912770708365,
        5.031110825791907,
        5.031130374512978,
        5.031149923234049,
        5.03116947195512,
        5.031189020676191,
        5.031208569397261,
        5.0312281181183325,
        5.031247666839404,
        5.031267215560474,
        5.031286764281545,
        5.031306313002616,
        5.031325384925612,
        5.0313449336466824,
        5.031364482367754,
        5.031384031088825,
        5.03150132341525,
        5.031520872136321,
        5.031540420857391,
        5.031559492780388,
        5.031579041501458,
        5.031598590222529,
        5.0316181389436005,
        5.031637687664671,
        5.031657236385742,
        5.0316767851068125,
        5.031696333827884,
        5.03171540575088,
        5.0317349544719505,
        5.031754503193022,
        5.031774051914092,
        5.031793600635163,
        5.031813149356235,
        5.031832698077305,
        5.031851770000301,
        5.031871318721372,
        5.031890867442443,
        5.031910416163513,
        5.0319299648845845,
        5.031949513605656,
        5.031968585528651,
        5.031988134249723,
        5.032007682970793,
        5.032027231691864,
        5.0320467804129345,
        5.032065852335931,
        5.032085401057002,
        5.0321049497780725,
        5.032124498499144,
        5.032144047220214,
        5.032163119143211,
        5.032182667864281,
        5.032202216585352,
        5.032221765306423,
        5.032241314027494,
        5.03226038595049,
        5.0322799346715605,
        5.032299483392632,
        5.032319032113702,
        5.032338104036699,
        5.03235765275777,
        5.03237720147884,
        5.032396750199911,
        5.032415822122907,
        5.032435370843978,
        5.0324549195650485,
        5.03247446828612,
        5.032493540209115,
        5.032513088930187,
        5.032532637651258,
        5.032552186372328,
        5.032571258295325,
        5.032590807016395,
        5.032610355737466,
        5.032629427660462,
        5.032648976381533,
        5.032668525102604,
        5.032688073823675,
        5.032707145746671,
        5.032726694467741,
        5.032746243188813,
        5.032765315111808,
        5.032784863832879,
        5.032804412553951,
        5.032823484476946,
        5.032843033198017,
        5.032862581919088,
        5.032881653842084,
        5.0329012025631545,
        5.032920751284226,
        5.032939823207221,
        5.032959371928293,
        5.032978920649364,
        5.032997992572359,
        5.033017541293431,
        5.033037090014501,
        5.033056161937497,
        5.033075710658568,
        5.033094782581564,
        5.0331143313026345,
        5.033133880023706,
        5.033152951946702,
        5.0331725006677726,
        5.033192049388844,
        5.033211121311839,
        5.033230670032911,
        5.033249741955906,
        5.033269290676977,
        5.033288839398048,
        5.033307911321044,
        5.033327460042115,
        5.033346531965111,
        5.033366080686182,
        5.0333856294072525,
        5.033404701330249,
        5.033424250051319,
        5.033443321974316,
        5.033462870695386,
        5.0334819426183826,
        5.033501491339453,
        5.033521040060524,
        5.033540111983521,
        5.033559660704591,
        5.033578732627587,
        5.033598281348658,
        5.033617353271654,
        5.0336369019927245,
        5.033655973915721,
        5.033675522636791,
        5.033694594559788,
        5.033714143280858,
        5.0337332152038545,
        5.033752763924926,
        5.033771835847921,
        5.0337913845689926,
        5.033810456491988,
        5.033830005213059,
        5.033849077136055,
        5.033868625857126,
        5.033887697780122,
        5.033907246501193,
        5.0339263184241885,
        5.03394586714526,
        5.033964939068255,
        5.0339844877893265,
        5.034003559712323,
        5.034023108433393,
        5.03404218035639,
        5.03406172907746,
        5.0340808010004565,
        5.034100349721527,
        5.034119421644523,
        5.034138970365594,
        5.03415804228859,
        5.034177114211586,
        5.034196662932657,
        5.034215734855652,
        5.034235283576724,
        5.03425435549972,
        5.0342739042207905,
        5.034292976143787,
        5.0343120480667825,
        5.034331596787854,
        5.034350668710849,
        5.0343702174319205,
        5.034389289354916,
        5.034408838075987,
        5.034427909998983,
        5.034446981921979,
        5.03446653064305,
        5.034485602566046,
        5.034504674489042,
        5.034524223210113,
        5.034543295133108,
        5.03456284385418,
        5.034581915777176,
        5.034600987700172,
        5.034620536421243,
        5.034639608344238,
        5.034658680267235,
        5.034678228988305,
        5.034697300911302,
        5.034716849632372,
        5.034735921555368,
        5.034754993478364,
        5.034774542199435,
        5.034793614122431,
        5.034812686045427,
        5.0348322347664975,
        5.034851306689494,
        5.0348703786124895,
        5.034889927333561,
        5.034908999256556,
        5.034928071179553,
        5.034947143102548,
        5.0349666918236196,
        5.034985763746615,
        5.0350048356696115,
        5.035024384390683,
        5.035043456313678,
        5.035062528236675,
        5.035082076957745,
        5.035101148880742,
        5.035120220803737,
        5.0351392927267336,
        5.035158841447804,
        5.0351779133708,
        5.035196985293796,
        5.035216057216792,
        5.035235605937863,
        5.035254677860859,
        5.035273749783855,
        5.035292821706851,
        5.0353123704279215,
        5.035331442350918,
        5.0353505142739134,
        5.03536958619691,
        5.03538913491798,
        5.035408206840977,
        5.035427278763972,
        5.035446350686969,
        5.035465899408039,
        5.0354849713310355,
        5.035504043254031,
        5.035523115177027,
        5.035542187100023,
        5.035561735821094,
        5.03558080774409,
        5.035599879667086,
        5.035618951590082,
        5.035638023513078,
        5.035657572234149,
        5.035676644157145,
        5.0356957160801405,
        5.035714788003137,
        5.0357338599261325,
        5.035753408647204,
        5.035772480570199,
        5.035791552493196,
        5.035810624416191,
        5.035829696339188,
        5.035848768262183,
        5.03586784018518,
        5.03588738890625,
        5.0359064608292465,
        5.035925532752242,
        5.0359446046752385,
        5.035963676598234,
        5.0359827485212305,
        5.036001820444226,
        5.036021369165297,
        5.036040441088293,
        5.036059513011289,
        5.036078584934285,
        5.036097656857281,
        5.036116728780277,
        5.036135800703273,
        5.036154872626269,
        5.036173944549265,
        5.036193493270336,
        5.036212565193332,
        5.036231637116328,
        5.036250709039324,
        5.03626978096232,
        5.036288852885316,
        5.036307924808312,
        5.036326996731308,
        5.036346068654304,
        5.0363651405773,
        5.0363842125002956,
        5.036403284423292,
        5.0364223563462875,
        5.036441428269284,
        5.036460976990354,
        5.036480048913351,
        5.036499120836346,
        5.036518192759343,
        5.036537264682338,
        5.036556336605335,
        5.03657540852833,
        5.036594480451327,
        5.036613552374322,
        5.036632624297319,
        5.036651696220314,
        5.036670768143311,
        5.036689840066306,
        5.036708911989303,
        5.036727983912298,
        5.036747055835295,
        5.03676612775829,
        5.036785199681287,
        5.036804271604282,
        5.036823343527279,
        5.036842415450274,
        5.036861487373271,
        5.036880559296266,
        5.036899631219262,
        5.036918703142258,
        5.036937775065254,
        5.03695684698825,
        5.036975918911246,
        5.036994990834242,
        5.037014062757238,
        5.037032657882159,
        5.037051729805155,
        5.037070801728151,
        5.037089873651147,
        5.037108945574143,
        5.037128017497139,
        5.037147089420135,
        5.037166161343131,
        5.037185233266127,
        5.037204305189123,
        5.037223377112119,
        5.037242449035115,
        5.037261520958111,
        5.037280592881107,
        5.037299188006028,
        5.037318259929024,
        5.03733733185202,
        5.037356403775016,
        5.037375475698012,
        5.037394547621008,
        5.037413619544004,
        5.037432691467,
        5.037451763389996,
        5.037470358514917,
        5.037489430437913,
        5.037508502360909,
        5.037527574283905,
        5.037546646206901,
        5.037565718129897,
        5.037584790052893,
        5.037603385177814,
        5.0376224571008095,
        5.037641529023806,
        5.0376606009468015,
        5.037679672869798,
        5.0376987447927934,
        5.037717339917715,
        5.037736411840711,
        5.037755483763707,
        5.037774555686703,
        5.037793627609699,
        5.037812699532695,
        5.037831294657616,
        5.037850366580612,
        5.037869438503608,
        5.037888510426604,
        5.037907582349599,
        5.037926177474521,
        5.0379452493975165,
        5.037964321320513,
        5.0379833932435085,
        5.038002465166505,
        5.038021060291426,
        5.038040132214422,
        5.038059204137418,
        5.038078276060414,
        5.038096871185335,
        5.03811594310833,
        5.038135015031327,
        5.038154086954322,
        5.038172682079244,
        5.03819175400224,
        5.038210825925236,
        5.038229897848232,
        5.038248492973153,
        5.038267564896149,
        5.038286636819145,
        5.041548412449532,
        5.045416675231192,
        5.045439084740712,
        5.045461494250233,
        5.045484380557828,
        5.045506790067348,
        5.045529199576869,
        5.045551609086389,
        5.045574018595909,
        5.045596904903505,
        5.045619314413025,
        5.045641723922545,
        5.045664133432065,
        5.045686542941586,
        5.045709429249181,
        5.045731838758701,
        5.045754248268221,
        5.045776657777742,
        5.045799067287262,
        5.0458219535948565,
        5.0458443631043775,
        5.0458667726138975,
        5.0458891821234175,
        5.045911591632938,
        5.0459340011424585,
        5.0459564106519785,
        5.045979296959573,
        5.046001706469094,
        5.046024115978614,
        5.046046525488134,
        5.046068934997654,
        5.046091344507175,
        5.046113754016695,
        5.04613664032429,
        5.046159049833811,
        5.046181459343331,
        5.046203868852851,
        5.046226278362371,
        5.046248687871892,
        5.046271097381412,
        5.046293506890932,
        5.046315916400453,
        5.046338325909973,
        5.046361212217568,
        5.046383621727088,
        5.046406031236609,
        5.046428440746129,
        5.046450850255649,
        5.04647325976517,
        5.04649566927469,
        5.04651807878421,
        5.04654048829373,
        5.046562897803251,
        5.046585307312771,
        5.046607716822291,
        5.046630126331811,
        5.046652535841332,
        5.046674945350852,
        5.046697354860372,
        5.046719764369893,
        5.046742173879413,
        5.046764583388933,
        5.046786992898453,
        5.046809402407974,
        5.046831811917494,
        5.046854698225089,
        5.04687710773461,
        5.04689951724413,
        5.046921449955575,
        5.046943859465095,
        5.046966268974615,
        5.046988678484136,
        5.047011087993656,
        5.047033497503176,
        5.047055907012697,
        5.047078316522217,
        5.047100726031737,
        5.047123135541257,
        5.047145545050778,
        5.047167954560298,
        5.047190364069818,
        5.047212773579338,
        5.047235183088859,
        5.047257592598379,
        5.047280002107899,
        5.04730241161742,
        5.04732482112694,
        5.04734723063646,
        5.04736964014598,
        5.047392049655501,
        5.047413982366947,
        5.047436391876467,
        5.047458801385987,
        5.047481210895508,
        5.047503620405028,
        5.047526029914548,
        5.047548439424068,
        5.047570848933589,
        5.047593258443109,
        5.047615667952629,
        5.047637600664074,
        5.047660010173595,
        5.047682419683115,
        5.047704829192635,
        5.047727238702155,
        5.047749648211676,
        5.047772057721196,
        5.047793990432641,
        5.047816399942161,
        5.047838809451682,
        5.047861218961202,
        5.047883628470722,
        5.047906037980242,
        5.047927970691688,
        5.0479503802012085,
        5.0479727897107285,
        5.0479951992202485,
        5.0480176087297695,
        5.0480400182392895,
        5.048061950950735,
        5.048084360460255,
        5.048106769969776,
        5.048129179479296,
        5.048240750228822,
        5.048263159738342,
        5.048285092449788,
        5.048307501959308,
        5.048329911468828,
        5.048352320978348,
        5.048374253689794,
        5.0483966631993145,
        5.0484190727088345,
        5.0484414822183545,
        5.048463414929801,
        5.048485824439321,
        5.048508233948841,
        5.048530643458361,
        5.048552576169806,
        5.048574985679327,
        5.048597395188847,
        5.048619327900292,
        5.048641737409812,
        5.048664146919333,
        5.048686556428853,
        5.0487084891402985,
        5.0487308986498185,
        5.048753308159339,
        5.048775240870785,
        5.048797650380305,
        5.048820059889825,
        5.048841992601271,
        5.048864402110791,
        5.048886811620311,
        5.048909221129831,
        5.048931153841276,
        5.048953563350797,
        5.048975972860317,
        5.048997905571762,
        5.0490203150812825,
        5.049042247792729,
        5.049064657302249,
        5.049087066811769,
        5.049108999523214,
        5.049131409032735,
        5.049153818542255,
        5.0491757512537,
        5.04919816076322,
        5.049220570272741,
        5.049242502984186,
        5.049264912493706,
        5.049286845205152,
        5.049309254714672,
        5.0493316642241926,
        5.049353596935638,
        5.049376006445158,
        5.049397939156603,
        5.049420348666124,
        5.049442758175644,
        5.049464690887089,
        5.049487100396609,
        5.0495090331080545,
        5.0495314426175755,
        5.049553375329021,
        5.049575784838541,
        5.049598194348061,
        5.049620127059506,
        5.049642536569027,
        5.049664469280472,
        5.049686878789992,
        5.0497088115014375,
        5.049731221010958,
        5.049753153722404,
        5.049775563231924,
        5.049797495943369,
        5.049819905452889,
        5.049841838164335,
        5.049864247673855,
        5.049886657183375,
        5.04990858989482,
        5.049930999404341,
        5.0499529321157866,
        5.049975341625307,
        5.049997274336752,
        5.050019683846272,
        5.050041616557718,
        5.050064026067238,
        5.050085958778683,
        5.0501078914901285,
        5.0501303009996485,
        5.050152233711095,
        5.050174643220615,
        5.05019657593206,
        5.05021898544158,
        5.050240918153025,
        5.050263327662546,
        5.050285260373991,
        5.050307669883511,
        5.050329602594957,
        5.050351535306402,
        5.050373944815923,
        5.050395877527368,
        5.050418287036888,
        5.050440219748333,
        5.050462629257854,
        5.0504845619692995,
        5.050506494680745,
        5.050528904190265,
        5.05055083690171,
        5.050573246411231,
        5.050595179122676,
        5.050617111834121,
        5.0506395213436415,
        5.050661454055087,
        5.050683863564608,
        5.050705796276053,
        5.050727728987498,
        5.050750138497018,
        5.050772071208463,
        5.0507940039199095,
        5.0508164134294296,
        5.050838346140875,
        5.050860755650395,
        5.05088268836184,
        5.050904621073286,
        5.050927030582806,
        5.0509489632942515,
        5.050970896005697,
        5.050993305515217,
        5.051015238226663,
        5.051037170938108,
        5.051059580447628,
        5.051081513159073,
        5.051103445870519,
        5.0511258553800396,
        5.051147788091485,
        5.05116972080293,
        5.051191653514375,
        5.051214063023895,
        5.0512359957353405,
        5.051257928446787,
        5.051280337956307,
        5.051302270667752,
        5.051324203379197,
        5.051346136090642,
        5.051368545600163,
        5.051390478311609,
        5.051412411023054,
        5.051434820532574,
        5.051456753244019,
        5.051478685955464,
        5.0515006186669105,
        5.0515230281764305,
        5.051544960887876,
        5.051566893599321,
        5.051588826310766,
        5.051611235820287,
        5.051633168531732,
        5.051655101243178,
        5.051677033954623,
        5.051698966666068,
        5.051721376175589,
        5.051743308887034,
        5.0517652415984795,
        5.051787174309925,
        5.05180910702137,
        5.05183151653089,
        5.051853449242336,
        5.051875381953781,
        5.051897314665227,
        5.051919247376672,
        5.051941656886192,
        5.051963589597638,
        5.051985522309083,
        5.0520074550205285,
        5.052029387731974,
        5.052051320443419,
        5.052073729952939,
        5.052095662664385,
        5.05211759537583,
        5.052139528087276,
        5.052161460798721,
        5.052183393510166,
        5.052205326221611,
        5.052227735731132,
        5.0522496684425775,
        5.052271601154023,
        5.052293533865468,
        5.052315466576913,
        5.0523373992883585,
        5.052359331999805,
        5.05238126471125,
        5.05240367422077,
        5.052425606932215,
        5.05244753964366,
        5.052469472355106,
        5.052491405066552,
        5.052513337777997,
        5.052535270489442,
        5.052557203200887,
        5.052579135912333,
        5.052601068623778,
        5.052623001335224,
        5.052644934046669,
        5.0526668667581145,
        5.0526892762676345,
        5.05271120897908,
        5.052733141690525,
        5.052755074401971,
        5.052777007113416,
        5.052798939824862,
        5.052820872536307,
        5.052842805247752,
        5.052864737959197,
        5.0528866706706435,
        5.052908603382089,
        5.052930536093534,
        5.052952468804979,
        5.052974401516424,
        5.05299633422787,
        5.053018266939315,
        5.053040199650761,
        5.053062132362206,
        5.0530840650736515,
        5.053105997785097,
        5.053127930496542,
        5.053149863207987,
        5.053171795919433,
        5.053193728630879,
        5.053215661342324,
        5.053237594053769,
        5.053259526765214,
        5.0532814594766595,
        5.053303392188106,
        5.053325324899551,
        5.053347257610996,
        5.053369190322441,
        5.053390646235812,
        5.053412578947257,
        5.053434511658702,
        5.053456444370148,
        5.053478377081594,
        5.053500309793039,
        5.053522242504484,
        5.053544175215929,
        5.053566107927375,
        5.05358804063882,
        5.053609973350266,
        5.053631906061711,
        5.053653361975082,
        5.053675294686527,
        5.053697227397972,
        5.053719160109417,
        5.053741092820863,
        5.053763025532309,
        5.053784958243754,
        5.053806890955199,
        5.053828823666644,
        5.053850279580015,
        5.05387221229146,
        5.053894145002905,
        5.0539160777143515,
        5.053938010425797,
        5.053959943137242,
        5.053981875848687,
        5.054003331762058,
        5.054025264473503,
        5.054047197184948,
        5.054069129896394,
        5.0540910626078395,
        5.054112995319285,
        5.054134451232655,
        5.0541563839441,
        5.054178316655546,
        5.054200249366991,
        5.054222182078437,
        5.054243637991807,
        5.054265570703253,
        5.054287503414698,
        5.054309436126143,
        5.054331368837588,
        5.054352824750959,
        5.054374757462404,
        5.05439669017385,
        5.054418622885295,
        5.054440078798666,
        5.054462011510111,
        5.054483944221556,
        5.054505876933002,
        5.054527809644447,
        5.054549265557817,
        5.054571198269263,
        5.054593130980709,
        5.054615063692154,
        5.054636519605524,
        5.0546584523169695,
        5.054680385028415,
        5.054701840941785,
        5.054723773653231,
        5.054745706364677,
        5.054767639076122,
        5.054789094989492,
        5.0548110277009375,
        5.054832960412383,
        5.054854416325753,
        5.054876349037198,
        5.0548982817486445,
        5.05492021446009,
        5.05494167037346,
        5.054963603084905,
        5.054985535796351,
        5.055006991709721,
        5.055028924421166,
        5.055050857132612,
        5.055072313045982,
        5.055094245757428,
        5.055116178468873,
        5.055137634382244,
        5.055159567093689,
        5.055181499805134,
        5.055202955718505,
        5.05522488842995,
        5.05524634434332,
        5.055268277054767,
        5.055290209766212,
        5.055311665679582,
        5.0553335983910275,
        5.055355531102473,
        5.055376987015843,
        5.055398919727288,
        5.055420375640659,
        5.055442308352104,
        5.05546424106355,
        5.055485696976921,
        5.055507629688366,
        5.055529085601736,
        5.0555510183131815,
        5.055572951024627,
        5.055594406937997,
        5.0556163396494425,
        5.055637795562813,
        5.055659728274259,
        5.0556811841876295,
        5.055703116899075,
        5.05572504961052,
        5.05574650552389,
        5.055768438235336,
        5.055789894148706,
        5.055811826860151,
        5.055833282773522,
        5.055855215484968,
        5.055876671398338,
        5.0558986041097835,
        5.055920060023154,
        5.055941992734599,
        5.0559639254460444,
        5.055985381359415,
        5.05600731407086,
        5.056028769984231,
        5.056050702695677,
        5.056072158609047,
        5.056094091320492,
        5.056115547233863,
        5.056137479945308,
        5.0561589358586785,
        5.056180868570124,
        5.056202324483494,
        5.056223780396865,
        5.05624571310831,
        5.05626716902168,
        5.056289101733126,
        5.056310557646497,
        5.056332490357942,
        5.0563539462713125,
        5.056375878982758,
        5.056397334896128,
        5.056419267607573,
        5.056440723520944,
        5.056462179434314,
        5.0564841121457595,
        5.05650556805913,
        5.056527500770576,
        5.0565489566839465,
        5.056570889395392,
        5.056592345308762,
        5.056613801222133,
        5.056635733933578,
        5.056657189846948,
        5.056679122558394,
        5.056700578471764,
        5.0567220343851345,
        5.056743967096581,
        5.056765423009951,
        5.056787355721396,
        5.056808811634767,
        5.056830267548137,
        5.056852200259582,
        5.056873656172953,
        5.056895112086323,
        5.0569170447977685,
        5.056938500711139,
        5.056960433422584,
        5.056981889335955,
        5.057003345249326,
        5.057025277960771,
        5.057046733874142,
        5.057068189787512,
        5.057090122498957,
        5.057111578412328,
        5.057133034325698,
        5.057154967037143,
        5.057176422950514,
        5.057197878863884,
        5.0572198115753295,
        5.0572412674887,
        5.057262723402071,
        5.057284179315442,
        5.057306112026887,
        5.057327567940257,
        5.057349023853628,
        5.057370956565073,
        5.0573924124784435,
        5.057413868391814,
        5.057435324305184,
        5.05745725701663,
        5.05747871293,
        5.0575001688433705,
        5.057522101554816,
        5.057543557468187,
        5.0575650133815575,
        5.057586469294928,
        5.057608402006373,
        5.057629857919744,
        5.057651313833114,
        5.0576727697464845,
        5.05769470245793,
        5.0577161583713,
        5.057737614284671,
        5.057759070198041,
        5.0577805261114115,
        5.057802458822857,
        5.057823914736227,
        5.0578453706495985,
        5.057866826562969,
        5.057888282476339,
        5.057910215187785,
        5.057931671101155,
        5.0579531270145255,
        5.057974582927896,
        5.057996038841266,
        5.058017971552712,
        5.058039427466082,
        5.0580608833794525,
        5.058082339292823,
        5.058103795206193,
        5.058125251119564,
        5.058147183831009,
        5.05816863974438,
        5.058190095657751,
        5.058211551571121,
        5.058233007484492,
        5.058254463397862,
        5.058276396109307,
        5.058297852022678,
        5.058319307936048,
        5.058340763849419,
        5.058362219762789,
        5.0583836756761595,
        5.05840513158953,
        5.0584265875029,
        5.058448520214346,
        5.058469976127716,
        5.0584914320410865,
        5.058512887954457,
        5.058534343867828,
        5.058555799781199,
        5.058577255694569,
        5.05859871160794,
        5.05862016752131,
        5.0586416234346805,
        5.058663079348051,
        5.058684535261421,
        5.058706467972867,
        5.058727923886237,
        5.0587493797996075,
        5.058770835712978,
        5.058792291626348,
        5.058813747539719,
        5.058835203453089,
        5.05885665936646,
        5.05887811527983,
        5.0588995711932006,
        5.058921027106571,
        5.058942483019941,
        5.058963938933313,
        5.058985394846683,
        5.059006850760054,
        5.059028306673424,
        5.0590497625867945,
        5.059071218500165,
        5.059092674413535,
        5.059114130326906,
        5.059135586240276,
        5.059157042153647,
        5.059178498067017,
        5.059199953980388,
        5.059221409893758,
        5.0592428658071285,
        5.059264321720499,
        5.059285777633869,
        5.05930723354724,
        5.05932868946061,
        5.059350145373981,
        5.059371601287351,
        5.0593930572007215,
        5.059414513114092,
        5.059435969027463,
        5.059457424940834,
        5.059478880854204,
        5.059500336767575,
        5.05952131588287,
        5.060099195149648,
        5.060120651063018,
        5.060142106976389,
        5.06016356288976,
        5.06018501880313,
        5.060205997918426,
        5.060227453831796,
        5.060248909745167,
        5.060270365658537,
        5.060291821571908,
        5.060312800687203,
        5.060334256600574,
        5.060355712513944,
        5.060377168427315,
        5.060398624340685,
        5.060419603455981,
        5.060441059369351,
        5.060462515282722,
        5.060483971196092,
        5.0605054271094625,
        5.060526406224758,
        5.060547862138129,
        5.060569318051499,
        5.0605907739648694,
        5.060611753080165,
        5.0606332089935355,
        5.060654664906906,
        5.060676120820276,
        5.060697099935572,
        5.0607185558489425,
        5.060740011762313,
        5.060760990877609,
        5.060782446790979,
        5.060803902704349,
        5.06082535861772,
        5.0608463377330155,
        5.060867793646386,
        5.060889249559756,
        5.060910228675052,
        5.0609316845884225,
        5.060953140501793,
        5.060974596415163,
        5.060995575530459,
        5.061017031443829,
        5.0610384873572,
        5.0610594664724955,
        5.061080922385866,
        5.061102378299236,
        5.061123357414532,
        5.0611448133279024,
        5.061166269241273,
        5.0611872483565685,
        5.061208704269939,
        5.061230160183309,
        5.061251139298605,
        5.0612725952119755,
        5.061294051125346,
        5.0613150302406416,
        5.061336486154012,
        5.061357465269308,
        5.061378921182678,
        5.0614003770960485,
        5.061421356211344,
        5.061442812124715,
        5.06146379124001,
        5.061485247153381,
        5.061506703066751,
        5.061527682182047,
        5.061549138095417,
        5.061570117210713,
        5.061591573124083,
        5.061613029037454,
        5.061634008152749,
        5.06165546406612,
        5.061676443181415,
        5.061697899094786,
        5.061719355008156,
        5.061740334123452,
        5.061761790036822,
        5.061782769152118,
        5.061804225065488,
        5.061825204180784,
        5.0618466600941545,
        5.06186763920945,
        5.061889095122821,
        5.061910074238116,
        5.061931530151487,
        5.061952986064857,
        5.061973965180153,
        5.061995421093523,
        5.062016400208819,
        5.062037856122189,
        5.062058835237485,
        5.062080291150855,
        5.062101270266151,
        5.062122726179521,
        5.062143705294817,
        5.0621651612081875,
        5.062186140323483,
        5.062207596236854,
        5.062228575352149,
        5.06225003126552,
        5.062271010380815,
        5.062291989496111,
        5.062313445409481,
        5.062334424524777,
        5.062355880438147,
        5.062376859553443,
        5.0623983154668135,
        5.062419294582109,
        5.06244075049548,
        5.062461729610775,
        5.062483185524146,
        5.062504164639441,
        5.062525143754737,
        5.062546599668107,
        5.062567578783403,
        5.0625890346967735,
        5.062610013812069,
        5.0626314697254395,
        5.062652448840735,
        5.062673427956031,
        5.062694883869401,
        5.062715862984697,
        5.062737318898067,
        5.062758298013363,
        5.062779277128659,
        5.062800733042029,
        5.062821712157325,
        5.062843168070695,
        5.062864147185991,
        5.062885126301286,
        5.062906582214657,
        5.062927561329952,
        5.062948540445247,
        5.062969996358618,
        5.062990975473913,
        5.063011954589209,
        5.063033410502579,
        5.063054389617875,
        5.063075368733171,
        5.063096824646541,
        5.063117803761837,
        5.063138782877132,
        5.063160238790503,
        5.0631812179057984,
        5.063202197021094,
        5.0632236529344645,
        5.06324463204976,
        5.063265611165056,
        5.063287067078426,
        5.063308046193722,
        5.0633290253090175,
        5.063350481222388,
        5.063371460337684,
        5.063392439452979,
        5.063413418568275,
        5.063434874481645,
        5.063455853596941,
        5.063476832712237,
        5.063498288625607,
        5.063519267740903,
        5.063540246856198,
        5.063561225971493,
        5.063582681884864,
        5.063603661000159,
        5.063624640115455,
        5.06364561923075,
        5.063667075144121,
        5.0636880542594165,
        5.063709033374712,
        5.063730012490008,
        5.063751468403378,
        5.063772447518674,
        5.0637934266339695,
        5.063814405749265,
        5.063835384864561,
        5.063856840777931,
        5.063877819893227,
        5.0638987990085225,
        5.063919778123818,
        5.063940757239114,
        5.063962213152484,
        5.06398319226778,
        5.0640041713830755,
        5.064025150498371,
        5.064046129613666,
        5.064067585527037,
        5.064088564642332,
        5.064109543757628,
        5.064130522872923,
        5.064151501988219,
        5.0641724811035145,
        5.06419346021881,
        5.0642149161321806,
        5.064235895247476,
        5.064256874362772,
        5.0642778534780675,
        5.064298832593363,
        5.064319811708659,
        5.064340790823954,
        5.064362246737325,
        5.0643832258526205,
        5.064404204967916,
        5.064425184083212,
        5.064446163198507,
        5.064467142313802,
        5.064488121429098,
        5.064509100544393,
        5.064530079659689,
        5.0645515355730595,
        5.064572514688355,
        5.064593493803651,
        5.064614472918946,
        5.064635452034242,
        5.064656431149538,
        5.064677410264833,
        5.064698389380129,
        5.064719368495425,
        5.06474034761072,
        5.064761326726016,
        5.0647823058413115,
        5.064803284956607,
        5.064824264071902,
        5.064845719985273,
        5.064866699100568,
        5.064887678215864,
        5.064908657331159,
        5.064929636446455,
        5.0649506155617505,
        5.064971594677046,
        5.064992573792342,
        5.065013552907637,
        5.065034532022933,
        5.065055511138229,
        5.065076490253524,
        5.06509746936882,
        5.065118448484116,
        5.065139427599411,
        5.065160406714707,
        5.065181385830002,
        5.065202364945297,
        5.065223344060593,
        5.065244323175889,
        5.065265302291184,
        5.06528628140648,
        5.0653072605217755,
        5.065328239637071,
        5.065349218752367,
        5.065369721069588,
        5.065390700184883,
        5.065411679300179,
        5.0654326584154745,
        5.065453637530769,
        5.065474616646065,
        5.0654955957613605,
        5.065516574876656,
        5.065537553991952,
        5.0655585331072475,
        5.065579512222543,
        5.065600491337839,
        5.065621470453134,
        5.06564244956843,
        5.065663428683726,
        5.0656839310009465,
        5.065704910116242,
        5.065725889231537,
        5.0657468683468325,
        5.065767847462128,
        5.065788826577424,
        5.065809805692719,
        5.065830784808015,
        5.065851763923311,
        5.0658722662405316,
        5.065893245355827,
        5.065914224471123,
        5.0659352035864185,
        5.065956182701714,
        5.06597716181701,
        5.0659981409323045,
        5.066018643249525,
        5.066039622364821,
        5.066060601480117,
        5.066081580595412,
        5.066102559710708,
        5.0661235388260035,
        5.066144041143224,
        5.06616502025852,
        5.066185999373816,
        5.066206978489111,
        5.066227957604407,
        5.066248459921627,
        5.0662694390369225,
        5.066290418152218,
        5.066311397267514,
        5.066332376382809,
        5.06635287870003,
        5.066373857815326,
        5.0663948369306215,
        5.066415816045917,
        5.066436795161213,
        5.066457297478433,
        5.066478276593728,
        5.066499255709024,
        5.06652023482432,
        5.0665407371415405,
        5.066561716256836,
        5.066582695372132,
        5.066603674487427,
        5.066624176804648,
        5.066645155919944,
        5.0666661350352395,
        5.066687114150534,
        5.066707616467755,
        5.066728595583051,
        5.066749574698346,
        5.066770553813642,
        5.066791056130863,
        5.0668120352461585,
        5.066833014361454,
        5.066853516678675,
        5.066874495793971,
        5.066895474909265,
        5.066916454024561,
        5.066936956341782,
        5.0669579354570775,
        5.066978914572373,
        5.066999416889594,
        5.06702039600489,
        5.067041375120185,
        5.067061877437406,
        5.067082856552702,
        5.0671038356679965,
        5.067124337985217,
        5.067145317100513,
        5.067166296215809,
        5.0671867985330294,
        5.067207777648325,
        5.067228756763621,
        5.067249259080842,
        5.067270238196137,
        5.067290740513357,
        5.067311719628653,
        5.067332698743948,
        5.067353201061169,
        5.067374180176465,
        5.0673951592917605,
        5.067415661608981,
        5.067436640724277,
        5.067457143041498,
        5.067478122156793,
        5.067499101272088,
        5.067519603589309,
        5.067540582704605,
        5.067561085021826,
        5.067582064137121,
        5.067603043252417,
        5.067623545569638,
        5.067644524684933,
        5.067665027002153,
        5.067686006117449,
        5.06770650843467,
        5.067727487549965,
        5.067748466665261,
        5.067768968982482,
        5.0677899480977775,
        5.067810450414998,
        5.067831429530294,
        5.067851931847514,
        5.06787291096281,
        5.06789341328003,
        5.067914392395326,
        5.067934894712547,
        5.0679558738278425,
        5.067976376145063,
        5.067997355260359,
        5.068017857577579,
        5.068038836692875,
        5.068059339010095,
        5.068080318125391,
        5.068100820442612,
        5.0681217995579075,
        5.068142301875128,
        5.068163280990424,
        5.068183783307644,
        5.06820476242294,
        5.06822526474016,
        5.068246243855456,
        5.068266746172677,
        5.068287725287973,
        5.068308227605193,
        5.068329206720489,
        5.068349709037709,
        5.068370688153005,
        5.0683911904702255,
        5.068411692787446,
        5.068432671902742,
        5.068453174219963,
        5.068474153335258,
        5.068494655652478,
        5.068515634767774,
        5.068536137084995,
        5.068556639402216,
        5.068577618517511,
        5.068598120834732,
        5.068619099950028,
        5.068639602267249,
        5.068660581382544,
        5.068681083699764,
        5.068701586016985,
        5.068722565132281,
        5.0687430674495015,
        5.068763569766722,
        5.068784548882018,
        5.068805051199238,
        5.068826030314534,
        5.068846532631754,
        5.068867034948975,
        5.068888014064271,
        5.068908516381492,
        5.068929018698713,
        5.068949997814008,
        5.068970500131228,
        5.068991002448449,
        5.069011981563745,
        5.0690324838809655,
        5.069052986198186,
        5.069073965313482,
        5.069094467630703,
        5.069114969947923,
        5.069135949063218,
        5.069156451380439,
        5.06917695369766,
        5.069197932812956,
        5.069218435130177,
        5.0692389374473965,
        5.069259916562692,
        5.069280418879913,
        5.069300921197134,
        5.0693219003124295,
        5.06934240262965,
        5.069362904946871,
        5.069383407264091,
        5.069404386379387,
        5.069424888696608,
        5.069445391013828,
        5.069465893331049,
        5.069486872446345,
        5.069507374763566,
        5.069527877080786,
        5.069548856196081,
        5.069569358513302,
        5.069589860830523,
        5.069610363147744,
        5.069630865464965,
        5.06965184458026,
        5.06967234689748,
        5.069692849214701,
        5.069713351531922,
        5.069734330647218,
        5.069754832964438,
        5.069775335281659,
        5.069795837598879,
        5.0698163399161,
        5.069837319031396,
        5.0698578213486165,
        5.069878323665837,
        5.069898825983058,
        5.069919328300278,
        5.069940307415574,
        5.069960809732795,
        5.0699813120500155,
        5.070001814367236,
        5.070022316684457,
        5.070043295799753,
        5.070063798116973,
        5.070084300434194,
        5.070104802751414,
        5.070125305068635,
        5.070145807385856,
        5.070166309703077,
        5.070187288818372,
        5.0702077911355925,
        5.070228293452813,
        5.070248795770034,
        5.070269298087255,
        5.070289800404476,
        5.070310302721696,
        5.070330805038917,
        5.070351784154212,
        5.070372286471433,
        5.070392788788654,
        5.070413291105875,
        5.070433793423095,
        5.070454295740316,
        5.070474798057536,
        5.070495300374757,
        5.070515802691978,
        5.070536305009199,
        5.070557284124494,
        5.0705777864417145,
        5.070598288758935,
        5.070618791076156,
        5.070639293393377,
        5.070659795710598,
        5.070680298027818,
        5.070700800345039,
        5.0707213026622595,
        5.07074180497948,
        5.070762307296701,
        5.070782809613922,
        5.070803311931142,
        5.070823814248363,
        5.070844316565584,
        5.0708648188828045,
        5.070885321200025,
        5.070905823517245,
        5.070926325834466,
        5.070946828151687,
        5.070967330468908,
        5.070987832786129,
        5.0710083351033495,
        5.071028837420569,
        5.07104933973779,
        5.071069842055011,
        5.071090344372232,
        5.071110846689453,
        5.071131349006673,
        5.071151851323894,
        5.071172353641114,
        5.071192855958335,
        5.071213358275556,
        5.071233860592777,
        5.071254362909997,
        5.071274865227218,
        5.0712953675444385,
        5.071315869861659,
        5.07133637217888,
        5.0713568744961,
        5.071377376813321,
        5.071397879130542,
        5.071418381447763,
        5.0714388837649835,
        5.071459386082204,
        5.071479888399424,
        5.071500390716645,
        5.071520416235791,
        5.071540918553012,
        5.071561420870233,
        5.071581923187453,
        5.071602425504674,
        5.0716229278218945,
        5.071643430139115,
        5.071663932456336,
        5.071684434773557,
        5.071704937090777,
        5.071724962609923,
        5.071745464927144,
        5.071765967244365,
        5.071786469561585,
        5.0718069718788055,
        5.071827474196026,
        5.071847976513247,
        5.071868002032393,
        5.071888504349613,
        5.071909006666834,
        5.071929508984055,
        5.071950011301276,
        5.0719705136184965,
        5.071991015935717,
        5.0720110414548625,
        5.072031543772083,
        5.072052046089304,
        5.072072548406525,
        5.072093050723746,
        5.072113553040966,
        5.072133578560112,
        5.072154080877333,
        5.0721745831945535,
        5.072195085511774,
        5.072215587828994,
        5.07223561334814,
        5.072256115665361,
        5.072276617982582,
        5.072297120299803,
        5.072317145818948,
        5.072337648136169,
        5.07235815045339,
        5.0723786527706105,
        5.072399155087831,
        5.0724191806069765,
        5.072439682924197,
        5.072460185241418,
        5.072480687558639,
        5.072500713077784,
        5.072521215395005,
        5.072541717712226,
        5.072562220029447,
        5.072582245548593,
        5.072602747865813,
        5.0726232501830335,
        5.072643752500254,
        5.0726637780194,
        5.072684280336621,
        5.072704782653841,
        5.072724808172987,
        5.072745310490208,
        5.072765812807429,
        5.072785838326574,
        5.072806340643795,
        5.072826842961016,
        5.0728473452782366,
        5.072867370797383,
        5.0728878731146025,
        5.072908375431823,
        5.072928400950969,
        5.07294890326819,
        5.072969405585411,
        5.072989431104556,
        5.073009933421777,
        5.073030435738998,
        5.073050461258144,
        5.073070963575365,
        5.073091465892585,
        5.073111491411731,
        5.073131993728952,
        5.0731524960461725,
        5.073172521565318,
        5.0731930238825385,
        5.0732130494016845,
        5.073233551718905,
        5.073254054036126,
        5.073274079555271,
        5.073294581872492,
        5.073315084189713,
        5.073335109708859,
        5.073355612026079,
        5.073375637545225,
        5.073396139862446,
        5.073416642179667,
        5.073436667698813,
        5.073457170016033,
        5.073477195535179,
        5.0734976978524,
        5.073517723371546,
        5.073538225688766,
        5.073558728005986,
        5.073578753525132,
        5.073599255842353,
        5.073619281361498,
        5.073639783678719,
        5.073659809197865,
        5.073680311515086,
        5.073700337034232,
        5.073720839351452,
        5.073741341668673,
        5.073761367187819,
        5.07378186950504,
        5.073801895024185,
        5.073822397341406,
        5.073842422860552,
        5.073862925177773,
        5.073882950696918,
        5.073903453014139,
        5.073923478533285,
        5.073943980850506,
        5.073964006369652,
        5.073984508686872,
        5.074004534206018,
        5.074025036523238,
        5.0740450620423845,
        5.074065564359604,
        5.0740855898787505,
        5.074106092195971,
        5.074126117715117,
        5.074146620032337,
        5.074166645551483,
        5.074186671070629,
        5.07420717338785,
        5.074227198906995,
        5.074247701224216,
        5.074267726743362,
        5.074288229060583,
        5.074308254579728,
        5.074328756896949,
        5.074348782416095,
        5.074368807935241,
        5.074389310252462,
        5.074409335771607,
        5.074429838088828,
        5.074449863607974,
        5.074470365925195,
        5.07449039144434,
        5.074510416963486,
        5.074530919280707,
        5.074550944799853,
        5.074571447117073,
        5.074591472636219,
        5.074611498155365,
        5.074632000472586,
        5.074652025991731,
        5.074672528308952,
        5.074692553828098,
        5.074712579347244,
        5.074733081664464,
        5.07475310718361,
        5.074773132702756,
        5.074793635019977,
        5.074813660539122,
        5.074833686058268,
        5.074854188375489,
        5.074874213894635,
        5.07489423941378,
        5.074914741731001,
        5.074934767250147,
        5.074954792769292,
        5.074975295086513,
        5.074995320605659,
        5.075015346124805,
        5.075035848442026,
        5.075055873961171,
        5.075075899480317,
        5.075096401797538,
        5.075116427316683,
        5.075136452835829,
        5.07515695515305,
        5.075176980672196,
        5.075197006191341,
        5.075217031710487,
        5.075237534027708,
        5.075257559546854,
        5.075277585065999,
        5.07529808738322,
        5.075318112902366,
        5.075338138421512,
        5.075358163940657,
        5.075378666257878,
        5.075398691777024,
        5.07541871729617,
        5.075438742815315,
        5.075459245132536,
        5.075479270651682,
        5.075499296170828,
        5.075519321689973,
        5.075539824007194,
        5.07555984952634,
        5.075579875045485,
        5.075599900564631,
        5.075619926083777,
        5.075640428400998,
        5.075660453920143,
        5.075680479439289,
        5.075700504958435,
        5.075720530477581,
        5.075741032794801,
        5.075761058313947,
        5.0757810838330935,
        5.075801109352239,
        5.075821134871385,
        5.0758416371886055,
        5.0758616627077515,
        5.075881688226897,
        5.075901713746043,
        5.075921739265189,
        5.075941764784335,
        5.075962267101555,
        5.075982292620701,
        5.076002318139847,
        5.076022343658992,
        5.076042369178138,
        5.076062394697284,
        5.07608242021643,
        5.07610292253365,
        5.076122948052796,
        5.076142973571942,
        5.076162999091088,
        5.076183024610233,
        5.076203050129379,
        5.076223075648525,
        5.0762431011676705,
        5.076263126686817,
        5.076283629004037,
        5.076303654523183,
        5.076323680042329,
        5.076343705561475,
        5.076363731080621,
        5.076383756599766,
        5.076403782118912,
        5.076423807638058,
        5.076443833157204,
        5.076463858676349,
        5.076483884195495,
        5.076503909714641,
        5.076524412031862,
        5.076544437551007,
        5.076564463070153,
        5.076584488589299,
        5.076604514108444,
        5.07662453962759,
        5.0766445651467365,
        5.076664590665882,
        5.076684616185028,
        5.076704641704174,
        5.07672466722332,
        5.076744692742465,
        5.076764718261611,
        5.076784743780757,
        5.076804769299902,
        5.076824794819048,
        5.076844820338194,
        5.07686484585734,
        5.076884871376485,
        5.076904896895631,
        5.076924922414777,
        5.076944947933923,
        5.076964973453069,
        5.076984998972215,
        5.077005024491361,
        5.077025050010506,
        5.077045075529652,
        5.077065101048798,
        5.077085126567943,
        5.077105152087089,
        5.077125177606235,
        5.077145203125381,
        5.077165228644526,
        5.077185254163672,
        5.077205279682818,
        5.077224828403889,
        5.077244853923035,
        5.077264879442181,
        5.077284904961326,
        5.077304930480472,
        5.077324955999618,
        5.077344981518763,
        5.077365007037909,
        5.077385032557055,
        5.077405058076201,
        5.0774250835953465,
        5.0774451091144925,
        5.077464657835564,
        5.077484683354709,
        5.077504708873855,
        5.077524734393001,
        5.077544759912146,
        5.077564785431292,
        5.077584810950438,
        5.077604836469584,
        5.077624861988729,
        5.077644410709801,
        5.077664436228947,
        5.077684461748092,
        5.077704487267238,
        5.077724512786384,
        5.077744538305529,
        5.077764563824675,
        5.077784112545746,
        5.0778041380648915,
        5.0778241635840375,
        5.077844189103184,
        5.07786421462233,
        5.077884240141475,
        5.077903788862546,
        5.077923814381692,
        5.077943839900837,
        5.077963865419983,
        5.077983890939129,
        5.0780034396602,
        5.078023465179346,
        5.078043490698492,
        5.078063516217637,
        5.078083541736783,
        5.078103090457854,
        5.078123115976999,
        5.078143141496145,
        5.078163167015291,
        5.078183192534437,
        5.078202741255508,
        5.078222766774654,
        5.0782427922938,
        5.078262817812945,
        5.078282366534016,
        5.078302392053162,
        5.078322417572307,
        5.078342443091453,
        5.078361991812525,
        5.07838201733167,
        5.078402042850816,
        5.078422068369962,
        5.078441617091032,
        5.078461642610178,
        5.078481668129324,
        5.078501216850395,
        5.078521242369541,
        5.078541267888687,
        5.078561293407832,
        5.078580842128903,
        5.078600867648049,
        5.078620893167194,
        5.078640441888266,
        5.078660467407412,
        5.078680492926558,
        5.078700041647628,
        5.078720067166774,
        5.07874009268592,
        5.07875964140699,
        5.0787796669261365,
        5.0787996924452825,
        5.078819241166353,
        5.078839266685499,
        5.078859292204645,
        5.078878840925715,
        5.078898866444861,
        5.078918891964007,
        5.078938440685078,
        5.078958466204224,
        5.07897849172337,
        5.07899804044444,
        5.079018065963586,
        5.079038091482732,
        5.079057640203803,
        5.079077665722949,
        5.079097214444019,
        5.079117239963165,
        5.079137265482311,
        5.079156814203381,
        5.079176839722527,
        5.079196388443599,
        5.079216413962745,
        5.07923643948189,
        5.079255988202961,
        5.079276013722107,
        5.0792955624431775,
        5.0793155879623235,
        5.07933561348147,
        5.07935516220254,
        5.079375187721686,
        5.079394736442756,
        5.079414761961902,
        5.079434310682974,
        5.079454336202119,
        5.07947388492319,
        5.079493910442336,
        5.079513935961481,
        5.079533484682552,
        5.079553510201698,
        5.079573058922769,
        5.079593084441915,
        5.079612633162986,
        5.079632658682131,
        5.0796522074032024,
        5.0796722329223485,
        5.079691781643419,
        5.079711807162565,
        5.079731355883636,
        5.079751381402781,
        5.0797709301238525,
        5.0797909556429985,
        5.079810504364069,
        5.079830529883215,
        5.079850078604286,
        5.079870104123431,
        5.079889652844503,
        5.079909678363649,
        5.079929227084719,
        5.079949252603865,
        5.079968801324935,
        5.079988826844081,
        5.080008375565153,
        5.080027924286223,
        5.080047949805369,
        5.08006749852644,
        5.080087524045585,
        5.080107072766657,
        5.080127098285803,
        5.080146647006873,
        5.080166672526019,
        5.08018622124709,
        5.080205769968161,
        5.080225795487307,
        5.080245344208377,
        5.080265369727523,
        5.080284918448594,
        5.083287315926237,
        5.086961045093338,
        5.086980117016333,
        5.086999665737404,
        5.0870187376604,
        5.087037809583396,
        5.087056881506392,
        5.087095502150459,
        5.087114574073455,
        5.087133645996451,
        5.087152717919447,
        5.087171789842443,
        5.087191338563514,
        5.0872104104865095,
        5.087229482409506,
        5.0872485543325014,
        5.087267626255498,
        5.087287174976568,
        5.087306246899565,
        5.08732531882256,
        5.087344390745557,
        5.087363462668552,
        5.087382534591549,
        5.087402083312619,
        5.0874211552356154,
        5.087440227158611,
        5.087459299081607,
        5.087478371004603,
        5.087497442927599,
        5.08751699164867,
        5.087536063571666,
        5.091016451119396,
        5.095186288683429,
        5.095208698192949,
        5.095231584500544,
        5.09525447080814,
        5.095277357115735,
        5.095299766625255,
        5.09532265293285,
        5.095345539240445,
        5.095367948749965,
        5.095390835057561,
        5.095413721365156,
        5.095436130874676,
        5.095459017182272,
        5.095481903489866,
        5.095504789797461,
        5.095527199306982,
        5.095550085614577,
        5.095572495124097,
        5.095595381431693,
        5.095618267739288,
        5.095640677248808,
        5.095663563556403,
        5.095686449863998,
        5.095708859373518,
        5.095731745681114,
        5.095754631988709,
        5.095777041498229,
        5.095799927805825,
        5.095822814113419,
        5.0958452236229395,
        5.095868109930535,
        5.095890519440055,
        5.095913405747651,
        5.095936292055246,
        5.095958701564766,
        5.0959815878723616,
        5.096003997381882,
        5.096026883689476,
        5.096049769997072,
        5.096072179506592,
        5.096095065814187,
        5.096117475323707,
        5.096140361631303,
        5.096162771140823,
        5.096185657448419,
        5.096208543756013,
        5.096230953265533,
        5.096253839573129,
        5.096276249082649,
        5.096299135390244,
        5.096321544899764,
        5.09634443120736,
        5.09636684071688,
        5.096389727024476,
        5.096412136533996,
        5.0964350228415904,
        5.0964574323511105,
        5.096480318658706,
        5.096503204966301,
        5.096525614475821,
        5.096548500783417,
        5.096570910292937,
        5.096593796600532,
        5.096616206110053,
        5.0966390924176475,
        5.0966615019271675,
        5.096684388234763,
        5.096706797744283,
        5.096729207253803,
        5.096752093561399,
        5.096774503070919,
        5.096797389378514,
        5.096819798888035,
        5.09684268519563,
        5.09686509470515,
        5.096887981012745,
        5.0969103905222655,
        5.09693327682986,
        5.096955686339381,
        5.096978095848901,
        5.097000982156496,
        5.097023391666016,
        5.097046277973612,
        5.097068687483132,
        5.097091573790728,
        5.097113983300248,
        5.097136392809768,
        5.0971592791173626,
        5.0971816886268835,
        5.097204574934478,
        5.097226984443998,
        5.097249393953519,
        5.097272280261114,
        5.097294689770634,
        5.09731757607823,
        5.09733998558775,
        5.09736239509727,
        5.097385281404866,
        5.097407690914386,
        5.097430577221981,
        5.0974529867315015,
        5.0974753962410215,
        5.097498282548616,
        5.097520692058136,
        5.097543101567657,
        5.097565987875252,
        5.097588397384772,
        5.097610806894293,
        5.097633693201888,
        5.097656102711408,
        5.097678512220929,
        5.097701398528524,
        5.097723808038044,
        5.097746217547564,
        5.098127656007485,
        5.0993663774060725,
        5.099388786915593,
        5.099411196425113,
        5.0994336059346335,
        5.0994560154441535,
        5.099478424953674,
        5.0995008344631945,
        5.0995232439727145,
        5.099545653482235,
        5.0995680629917555,
        5.0995904725012755,
        5.0996128820107955,
        5.0996352915203165,
        5.0996577010298365,
        5.0996801105393565,
        5.099702520048877,
        5.0997249295583975,
        5.0997473390679176,
        5.099769748577438,
        5.0997921580869585,
        5.0998145675964786,
        5.099836977105999,
        5.099859386615519,
        5.09988179612504,
        5.09990420563456,
        5.09992661514408,
        5.0999490246536,
        5.099971434163121,
        5.099993843672641,
        5.100016253182161,
        5.100038662691681,
        5.100061072201202,
        5.100083481710722,
        5.100105891220242,
        5.100128300729763,
        5.100150710239283,
        5.100172642950728,
        5.100195052460248,
        5.100217461969769,
        5.100239871479289,
        5.100262280988809,
        5.100284690498329,
        5.10030710000785,
        5.10032950951737,
        5.10035191902689,
        5.10037432853641,
        5.100396738045931,
        5.100418670757376,
        5.100441080266896,
        5.100463489776416,
        5.100485899285937,
        5.100508308795457,
        5.100530718304977,
        5.100553127814497,
        5.100575537324018,
        5.1005974700354635,
        5.1006198795449835,
        5.100642289054504,
        5.1006646985640245,
        5.1006871080735445,
        5.100709517583065,
        5.100731927092585,
        5.100753859804031,
        5.100776269313551,
        5.100798678823071,
        5.100821088332591,
        5.100843497842112,
        5.100865430553557,
        5.100887840063077,
        5.100910249572597,
        5.100932659082118,
        5.100955068591638,
        5.100977478101158,
        5.100999410812603,
        5.101021820322124,
        5.101044229831644,
        5.101066639341164,
        5.10108857205261,
        5.1011109815621305,
        5.1011333910716505,
        5.101155800581171,
        5.101178210090691,
        5.101200142802137,
        5.101222552311657,
        5.101244961821177,
        5.101267371330697,
        5.101289304042143,
        5.101311713551663,
        5.101334123061183,
        5.101356532570703,
        5.101378465282149,
        5.101400874791669,
        5.101423284301189,
        5.101445693810709,
        5.101467626522155,
        5.1014900360316755,
        5.1015124455411955,
        5.101534378252641,
        5.101556787762161,
        5.101579197271682,
        5.101601606781202,
        5.101623539492647,
        5.101645949002167,
        5.101668358511688,
        5.101690291223133,
        5.101712700732653,
        5.101735110242173,
        5.101757042953619,
        5.1017794524631395,
        5.1018018619726595,
        5.101823794684105,
        5.101846204193625,
        5.101868613703146,
        5.101890546414591,
        5.101912955924111,
        5.101935365433631,
        5.101957298145077,
        5.101979707654597,
        5.102002117164117,
        5.1020240498755625,
        5.102046459385083,
        5.102068392096529,
        5.102090801606049,
        5.102113211115569,
        5.102135143827014,
        5.102157553336535,
        5.10217948604798,
        5.1022018955575,
        5.10222430506702,
        5.102246237778466,
        5.102268647287986,
        5.102290579999432,
        5.102312989508952,
        5.1023353990184726,
        5.102357331729918,
        5.102379741239438,
        5.102401673950883,
        5.102424083460403,
        5.102446016171849,
        5.102468425681369,
        5.102490835190889,
        5.1025127679023345,
        5.102535177411855,
        5.102557110123301,
        5.102579519632821,
        5.102601452344266,
        5.102623861853786,
        5.102645794565232,
        5.102668204074752,
        5.102690136786197,
        5.1027125462957175,
        5.1027349558052375,
        5.102756888516684,
        5.102779298026204,
        5.102801230737649,
        5.102823640247169,
        5.102845572958614,
        5.102867982468135,
        5.10288991517958,
        5.1029123246891,
        5.102934257400546,
        5.1029566669100666,
        5.102978599621512,
        5.103000532332957,
        5.103022941842477,
        5.103044874553922,
        5.103067284063443,
        5.1030892167748885,
        5.1031116262844085,
        5.103133558995854,
        5.103155968505374,
        5.10317790121682,
        5.10320031072634,
        5.103222243437785,
        5.10324417614923,
        5.1032665856587505,
        5.103288518370197,
        5.103310927879717,
        5.103332860591162,
        5.103355270100682,
        5.103377202812127,
        5.103399135523573,
        5.103421545033093,
        5.1034434777445385,
        5.103465887254059,
        5.103487819965504,
        5.10350975267695,
        5.10353216218647,
        5.103554094897915,
        5.103576504407435,
        5.1035984371188805,
        5.103620369830327,
        5.103642779339847,
        5.103664712051292,
        5.103686644762737,
        5.103709054272258,
        5.103730986983703,
        5.103753396493223,
        5.103775329204669,
        5.103797261916114,
        5.103819671425635,
        5.10384160413708,
        5.103863536848525,
        5.103885946358045,
        5.1039078790694905,
        5.103929811780936,
        5.103952221290457,
        5.103974154001902,
        5.103996086713347,
        5.104018019424792,
        5.104040428934312,
        5.1040623616457585,
        5.104084294357204,
        5.104106703866724,
        5.104128636578169,
        5.104150569289614,
        5.104172978799135,
        5.1041949115105805,
        5.104216844222026,
        5.104238776933471,
        5.104261186442991,
        5.104283119154436,
        5.104305051865882,
        5.104326984577328,
        5.104349394086848,
        5.104371326798293,
        5.104393259509738,
        5.104415192221184,
        5.104437601730704,
        5.1044595344421495,
        5.104481467153595,
        5.10450339986504,
        5.104525809374561,
        5.104547742086006,
        5.104569674797451,
        5.104591607508897,
        5.104614017018417,
        5.104635949729862,
        5.104657882441308,
        5.104679815152753,
        5.1047017478641985,
        5.1047241573737185,
        5.104746090085164,
        5.10476802279661,
        5.104789955508055,
        5.1048118882195,
        5.104833820930946,
        5.104856230440466,
        5.104878163151911,
        5.104900095863357,
        5.104922028574802,
        5.1049439612862475,
        5.104965893997693,
        5.104988303507213,
        5.105010236218658,
        5.105032168930104,
        5.105054101641549,
        5.105076034352995,
        5.10509796706444,
        5.105119899775885,
        5.105142309285406,
        5.105164241996851,
        5.1051861747082965,
        5.105208107419742,
        5.105230040131187,
        5.105251972842632,
        5.1052739055540775,
        5.105295838265524,
        5.105318247775044,
        5.105340180486489,
        5.105362113197934,
        5.105384045909379,
        5.1054059786208255,
        5.105427911332271,
        5.105449844043716,
        5.105471776755161,
        5.105493709466606,
        5.105515642178052,
        5.105537574889497,
        5.105559507600943,
        5.105581440312388,
        5.105603849821908,
        5.1056257825333535,
        5.105647715244799,
        5.105669647956245,
        5.10569158066769,
        5.105713513379135,
        5.105735446090581,
        5.105757378802026,
        5.105779311513471,
        5.105801244224916,
        5.1058231769363625,
        5.105845109647808,
        5.105867042359253,
        5.105888975070698,
        5.105910907782143,
        5.105932840493589,
        5.105954773205035,
        5.10597670591648,
        5.105998638627925,
        5.1060205713393705,
        5.106042504050816,
        5.106064436762261,
        5.106086369473706,
        5.106108302185152,
        5.106130234896598,
        5.106152167608043,
        5.106174100319488,
        5.106196033030933,
        5.1062179657423785,
        5.106239898453825,
        5.106261354367195,
        5.10628328707864,
        5.106305219790086,
        5.106327152501531,
        5.106349085212976,
        5.106371017924421,
        5.106392950635867,
        5.106414883347313,
        5.106436816058758,
        5.106458748770203,
        5.106480681481648,
        5.106502614193094,
        5.10652454690454,
        5.10654600281791,
        5.106567935529355,
        5.106589868240801,
        5.106611800952246,
        5.106633733663691,
        5.106655666375136,
        5.1066775990865825,
        5.106699531798028,
        5.106721464509473,
        5.106742920422843,
        5.106764853134289,
        5.106786785845734,
        5.106808718557179,
        5.106830651268624,
        5.1068525839800705,
        5.106874516691516,
        5.106895972604886,
        5.106917905316331,
        5.106939838027777,
        5.106961770739222,
        5.106983703450667,
        5.107005636162113,
        5.107027092075484,
        5.107049024786929,
        5.107070957498374,
        5.107092890209819,
        5.107114822921265,
        5.107136278834635,
        5.107158211546081,
        5.107180144257526,
        5.107202076968972,
        5.107224009680417,
        5.107245465593787,
        5.107267398305233,
        5.107289331016678,
        5.107311263728124,
        5.107333196439569,
        5.10735465235294,
        5.107376585064385,
        5.10739851777583,
        5.107420450487275,
        5.107441906400646,
        5.107463839112091,
        5.107485771823537,
        5.107507704534982,
        5.107529160448353,
        5.107551093159798,
        5.107573025871243,
        5.107856243927734,
        5.107878176639179,
        5.10789963255255,
        5.107921565263995,
        5.10794349797544,
        5.1079649538888106,
        5.107986886600256,
        5.108008819311702,
        5.108030275225072,
        5.108052207936518,
        5.108074140647963,
        5.108095596561333,
        5.1081175292727785,
        5.108139461984224,
        5.108160917897594,
        5.108182850609039,
        5.1082047833204856,
        5.108226239233856,
        5.108248171945301,
        5.108269627858672,
        5.108291560570117,
        5.108313493281562,
        5.108334949194933,
        5.108356881906378,
        5.108378337819748,
        5.108400270531194,
        5.10842220324264,
        5.10844365915601,
        5.108465591867455,
        5.108487047780826,
        5.108508980492271,
        5.108530913203716,
        5.108552369117087,
        5.108574301828532,
        5.108595757741903,
        5.1086176904533485,
        5.108639146366719,
        5.108661079078164,
        5.108682534991535,
        5.10870446770298,
        5.108726400414425,
        5.1087478563277955,
        5.108769789039241,
        5.108791244952611,
        5.108813177664057,
        5.108834633577428,
        5.108856566288873,
        5.108878022202243,
        5.108899954913689,
        5.108921410827059,
        5.108943343538504,
        5.108964799451875,
        5.10898673216332,
        5.109008188076691,
        5.109030120788137,
        5.109051576701507,
        5.109073509412952,
        5.109094965326323,
        5.109116898037768,
        5.109138353951138,
        5.109160286662584,
        5.109181742575954,
        5.109203675287399,
        5.109225131200771,
        5.109247063912216,
        5.109268519825586,
        5.109289975738957,
        5.109311908450402,
        5.109333364363772,
        5.109355297075218,
        5.109376752988588,
        5.109398685700033,
        5.109420141613404,
        5.10944207432485,
        5.10946353023822,
        5.109484986151591,
        5.109506918863036,
        5.109528374776406,
        5.109550307487852,
        5.109571763401222,
        5.1095932193145925,
        5.109615152026038,
        5.109636607939408,
        5.1096585406508535,
        5.109679996564224,
        5.109701452477595,
        5.1097233851890405,
        5.109744841102411,
        5.109766773813856,
        5.109788229727227,
        5.109809685640597,
        5.109831618352042,
        5.109853074265413,
        5.109874530178783,
        5.109896462890228,
        5.109917918803599,
        5.109939374716969,
        5.109961307428415,
        5.109982763341786,
        5.110004219255156,
        5.1100261519666015,
        5.110047607879972,
        5.110069063793342,
        5.110090996504788,
        5.110112452418158,
        5.1101339083315285,
        5.110155841042974,
        5.110177296956344,
        5.110198752869715,
        5.110220685581161,
        5.110242141494531,
        5.110263597407902,
        5.110285053321272,
        5.110306986032717,
        5.110328441946088,
        5.110349897859458,
        5.110371830570903,
        5.110393286484274,
        5.110414742397644,
        5.110436198311015,
        5.11045813102246,
        5.11047958693583,
        5.110501042849202,
        5.110522498762572,
        5.110544431474017,
        5.110565887387388,
        5.110587343300758,
        5.110608799214129,
        5.110630731925574,
        5.110652187838944,
        5.110673643752315,
        5.110695099665685,
        5.110716555579056,
        5.110738488290501,
        5.110759944203871,
        5.110781400117242,
        5.110802856030612,
        5.110824311943984,
        5.110846244655429,
        5.110867700568799,
        5.11088915648217,
        5.11091061239554,
        5.110932068308911,
        5.110954001020356,
        5.110975456933726,
        5.110996912847097,
        5.111018368760467,
        5.1110398246738376,
        5.111061280587208,
        5.111083213298653,
        5.111104669212024,
        5.111814144747474,
        5.111835600660845,
        5.111857056574215,
        5.111878512487586,
        5.111899968400956,
        5.1119214243143265,
        5.111942880227698,
        5.111964336141068,
        5.111985792054439,
        5.112007247967809,
        5.11202870388118,
        5.11205015979455,
        5.1120716157079205,
        5.112093071621291,
        5.112114527534661,
        5.112135983448032,
        5.112157439361402,
        5.112178895274773,
        5.112200351188143,
        5.1122218071015135,
        5.112243263014884,
        5.112264718928254,
        5.112286174841625,
        5.112307630754995,
        5.112329086668366,
        5.112350542581736,
        5.112371521697032,
        5.112392977610402,
        5.112414433523773,
        5.112435889437143,
        5.112457345350514,
        5.112478801263885,
        5.112500257177255,
        5.112521713090626,
        5.112543169003996,
        5.112564624917367,
        5.112586080830737,
        5.1126075367441075,
        5.112628515859403,
        5.112649971772774,
        5.112671427686144,
        5.1126928835995145,
        5.112714339512885,
        5.112735795426255,
        5.112757251339626,
        5.112778707252996,
        5.112800163166367,
        5.112821142281662,
        5.112842598195033,
        5.112864054108403,
        5.112885510021774,
        5.112906965935144,
        5.1129284218485145,
        5.112949877761885,
        5.112970856877181,
        5.112992312790551,
        5.113013768703921,
        5.113035224617292,
        5.113056680530662,
        5.113078136444033,
        5.113099115559328,
        5.113120571472699,
        5.113142027386069,
        5.113163483299441,
        5.113184939212811,
        5.113205918328107,
        5.113227374241477,
        5.1132488301548475,
        5.113270286068218,
        5.113291741981588,
        5.113312721096884,
        5.1133341770102545,
        5.113355632923625,
        5.113377088836995,
        5.113398544750366,
        5.1134195238656615,
        5.113440979779032,
        5.113462435692402,
        5.113483891605773,
        5.113504870721068,
        5.113526326634439,
        5.113547782547809,
        5.11356923846118,
        5.113590217576475,
        5.113611673489846,
        5.113633129403216,
        5.113654585316587,
        5.113675564431882,
        5.113697020345253,
        5.113718476258623,
        5.113739455373919,
        5.114226504607429,
        5.115567022395009,
        5.115588001510305,
        5.115609457423675,
        5.115630436538971,
        5.115651415654266,
        5.115672871567637,
        5.115693850682932,
        5.115714829798227,
        5.1157362857115976,
        5.115757264826893,
        5.115778720740264,
        5.115799699855559,
        5.115820678970855,
        5.115842134884225,
        5.115863113999521,
        5.115884093114817,
        5.115905549028187,
        5.115926528143483,
        5.115947507258778,
        5.115968963172149,
        5.115989942287444,
        5.116011398200815,
        5.1160323773161105,
        5.116053356431406,
        5.116074812344777,
        5.116095791460072,
        5.116116770575368,
        5.1161377496906635,
        5.116159205604034,
        5.11618018471933,
        5.116201163834625,
        5.116222619747996,
        5.116243598863291,
        5.116264577978587,
        5.116286033891957,
        5.116307013007253,
        5.116327992122549,
        5.116348971237844,
        5.116370427151215,
        5.11639140626651,
        5.116412385381805,
        5.116433364497101,
        5.116454820410471,
        5.116475799525767,
        5.1164967786410624,
        5.116518234554433,
        5.1165392136697285,
        5.116560192785024,
        5.11658117190032,
        5.116602151015615,
        5.116623606928986,
        5.1166445860442815,
        5.116665565159577,
        5.116686544274873,
        5.116708000188243,
        5.116728979303539,
        5.1167499584188345,
        5.11677093753413,
        5.116791916649426,
        5.116813372562796,
        5.116834351678092,
        5.1168553307933875,
        5.116876309908683,
        5.116897289023978,
        5.116918744937349,
        5.116939724052644,
        5.11696070316794,
        5.116981682283235,
        5.117002661398531,
        5.1170236405138265,
        5.117045096427197,
        5.117066075542493,
        5.117087054657788,
        5.117108033773084,
        5.1171290128883795,
        5.117149992003675,
        5.117171447917046,
        5.117192427032341,
        5.117213406147637,
        5.1172343852629325,
        5.117255364378228,
        5.117276343493524,
        5.117297322608819,
        5.117318301724114,
        5.1173397576374855,
        5.11736073675278,
        5.117381715868076,
        5.1174026949833715,
        5.117423674098667,
        5.117444653213963,
        5.117465632329258,
        5.117486611444554,
        5.11750759055985,
        5.117528569675145,
        5.117549548790441,
        5.117571004703811,
        5.117591983819107,
        5.117612962934403,
        5.117633942049698,
        5.117654921164994,
        5.11767590028029,
        5.117696879395584,
        5.11771785851088,
        5.117738837626176,
        5.117759816741471,
        5.117780795856767,
        5.117801774972063,
        5.117822754087358,
        5.117843733202654,
        5.1178647123179495,
        5.117885691433245,
        5.117906670548541,
        5.117927649663836,
        5.117948628779132,
        5.117969607894428,
        5.117990587009723,
        5.118011566125018,
        5.118032545240314,
        5.118053524355609,
        5.118074503470905,
        5.118095482586201,
        5.118116461701496,
        5.118137440816792,
        5.1181584199320875,
        5.118179399047383,
        5.118200378162679,
        5.1182213572779744,
        5.11824233639327,
        5.118263315508566,
        5.118284294623861,
        5.118305273739157,
        5.118326252854452,
        5.118347231969747,
        5.118368211085043,
        5.118389190200339,
        5.118410169315634,
        5.11843114843093,
        5.118451650748151,
        5.118472629863446,
        5.118493608978742,
        5.118514588094038,
        5.118535567209333,
        5.118556546324629,
        5.118577525439925,
        5.118598504555219,
        5.118619483670515,
        5.118640462785811,
        5.118661441901106,
        5.118681944218327,
        5.118702923333623,
        5.118723902448918,
        5.118744881564214,
        5.11876586067951,
        5.118786839794805,
        5.118807818910101,
        5.118828798025397,
        5.1188493003426165,
        5.118870279457912,
        5.118891258573208,
        5.1189122376885035,
        5.118933216803799,
        5.118954195919095,
        5.118974698236316,
        5.118995677351611,
        5.119016656466907,
        5.1190376355822025,
        5.119058614697498,
        5.119079593812794,
        5.119100096130014,
        5.119121075245309,
        5.119142054360605,
        5.119163033475901,
        5.119184012591196,
        5.119204514908417,
        5.119225494023713,
        5.119246473139008,
        5.119267452254304,
        5.1192884313696,
        5.1193089336868205,
        5.119329912802115,
        5.119350891917411,
        5.1193718710327065,
        5.119392373349927,
        5.119413352465223,
        5.119434331580519,
        5.119455310695814,
        5.119475813013035,
        5.119496792128331,
        5.119517771243626,
        5.119538750358922,
        5.119559252676142,
        5.119580231791438,
        5.119601210906733,
        5.119622190022029,
        5.11964269233925,
        5.119663671454545,
        5.119684650569841,
        5.119705629685137,
        5.1197261320023575,
        5.119747111117653,
        5.119768090232948,
        5.119788592550169,
        5.119809571665464,
        5.11983055078076,
        5.119851053097981,
        5.1198720322132765,
        5.119893011328572,
        5.119913513645793,
        5.119934492761089,
        5.119955471876384,
        5.119975974193604,
        5.1199969533089,
        5.1200179324241955,
        5.120038434741416,
        5.120059413856712,
        5.120080392972008,
        5.120100895289228,
        5.120121874404524,
        5.12014285351982,
        5.12016335583704,
        5.120184334952335,
        5.120205314067631,
        5.120225816384852,
        5.120246795500147,
        5.120267297817368,
        5.120288276932664,
        5.1203092560479595,
        5.12032975836518,
        5.120350737480475,
        5.120371239797696,
        5.120392218912992,
        5.120413198028287,
        5.120433700345508,
        5.120454679460804,
        5.1204751817780245,
        5.12049616089332,
        5.120517140008616,
        5.120537642325836,
        5.120558621441131,
        5.120579123758352,
        5.120600102873648,
        5.120620605190869,
        5.120641584306164,
        5.120662086623385,
        5.120683065738681,
        5.1207040448539765,
        5.120724547171196,
        5.120745526286492,
        5.120766028603713,
        5.1207870077190085,
        5.120807510036229,
        5.120828489151525,
        5.120848991468746,
        5.1208699705840415,
        5.120890472901261,
        5.120911452016557,
        5.120931954333778,
        5.1209529334490735,
        5.120973435766294,
        5.12099441488159,
        5.121014917198811,
        5.1210358963141065,
        5.1210563986313264,
        5.121077377746622,
        5.121097880063843,
        5.121118859179139,
        5.121139361496359,
        5.121160340611655,
        5.121180842928876,
        5.1212018220441715,
        5.1212223243613915,
        5.121242826678612,
        5.121263805793908,
        5.121284308111129,
        5.121305287226424,
        5.121325789543645,
        5.121346768658941,
        5.121367270976162,
        5.1213882500914565,
        5.121408752408677,
        5.121429254725898,
        5.121450233841194,
        5.121470736158415,
        5.12149171527371,
        5.121512217590931,
        5.121532719908151,
        5.121553699023447,
        5.1215742013406675,
        5.121595180455963,
        5.121615682773184,
        5.121636185090405,
        5.1216571642057005,
        5.1216776665229204,
        5.121698645638216,
        5.121719147955437,
        5.121739650272658,
        5.121760629387953,
        5.121781131705174,
        5.121801634022395,
        5.121822613137691,
        5.121843115454911,
        5.1218636177721315,
        5.121884596887427,
        5.121905099204648,
        5.121925601521869,
        5.1219465806371645,
        5.121967082954385,
        5.121987585271605,
        5.122008564386901,
        5.122029066704122,
        5.122049569021343,
        5.122070548136638,
        5.122091050453859,
        5.12211155277108,
        5.122132531886375,
        5.1221530342035955,
        5.122173536520816,
        5.122194038838037,
        5.122215017953333,
        5.122235520270554,
        5.122256022587774,
        5.122277001703069,
        5.12229750402029,
        5.122318006337511,
        5.122338508654732,
        5.122359487770027,
        5.122379990087248,
        5.122400492404468,
        5.122420994721689,
        5.122441973836985,
        5.1224624761542055,
        5.122482978471426,
        5.122503480788647,
        5.122524459903943,
        5.122544962221163,
        5.122565464538384,
        5.122585966855604,
        5.122606469172825,
        5.122627448288121,
        5.122647950605342,
        5.122668452922562,
        5.1226889552397825,
        5.122709457557003,
        5.122730436672299,
        5.12275093898952,
        5.122771441306741,
        5.122791943623961,
        5.1228124459411815,
        5.122833425056477,
        5.122853927373698,
        5.122874429690919,
        5.12289493200814,
        5.1229154343253605,
        5.12293593664258,
        5.122956915757876,
        5.122977418075097,
        5.122997920392318,
        5.1230184227095386,
        5.123038925026759,
        5.123059427343979,
        5.123080406459275,
        5.123100908776496,
        5.123121411093717,
        5.1231419134109375,
        5.123162415728158,
        5.123182918045378,
        5.123203420362599,
        5.12322392267982,
        5.123244424997041,
        5.123265404112336,
        5.123285906429557,
        5.123306408746777,
        5.123326911063998,
        5.123347413381219,
        5.12336791569844,
        5.123388418015661,
        5.123408920332881,
        5.123429422650101,
        5.123449924967322,
        5.123470427284543,
        5.123491406399839,
        5.1235119087170595,
        5.12353241103428,
        5.1235529133515,
        5.123573415668721,
        5.123593917985942,
        5.123614420303163,
        5.123634922620384,
        5.1236554249376045,
        5.1236759272548245,
        5.123696429572045,
        5.123716931889266,
        5.123737434206487,
        5.123757936523708,
        5.123778438840928,
        5.123798941158149,
        5.123819443475369,
        5.12383994579259,
        5.123860448109811,
        5.123880950427032,
        5.123901452744252,
        5.123921955061473,
        5.123942457378694,
        5.123962959695914,
        5.123983462013135,
        5.124003964330355,
        5.124024466647576,
        5.124044968964797,
        5.124065471282018,
        5.124085973599239,
        5.124106475916459,
        5.124126978233679,
        5.1241474805509,
        5.124167982868121,
        5.124188485185342,
        5.124208987502563,
        5.1242294898197835,
        5.124249515338929,
        5.1242700176561495,
        5.12429051997337,
        5.124311022290591,
        5.124331524607812,
        5.124352026925032,
        5.124372529242253,
        5.124393031559474,
        5.1244135338766945,
        5.124434036193915,
        5.124454538511135,
        5.124475040828356,
        5.124495066347502,
        5.124515568664723,
        5.124536070981944,
        5.124556573299164,
        5.124577075616385,
        5.1245975779336055,
        5.124618080250826,
        5.124638582568047,
        5.124658608087192,
        5.124679110404413,
        5.124699612721634,
        5.124883656778545,
        5.124904159095766,
        5.124924184614912,
        5.124944686932133,
        5.124965189249353,
        5.1249856915665735,
        5.125006193883794,
        5.12502621940294,
        5.125046721720161,
        5.125067224037381,
        5.125087726354602,
        5.125108228671823,
        5.125128254190969,
        5.12514875650819,
        5.12516925882541,
        5.1251897611426305,
        5.125210263459851,
        5.125230288978997,
        5.125250791296218,
        5.125271293613438,
        5.125291795930659,
        5.125311821449805,
        5.125332323767026,
        5.125352826084247,
        5.125373328401467,
        5.125393353920613,
        5.1254138562378335,
        5.125434358555054,
        5.1254543840742,
        5.12547488639142,
        5.125495388708641,
        5.125515891025862,
        5.125535916545008,
        5.125556418862229,
        5.125576921179449,
        5.125596946698595,
        5.125617449015816,
        5.125637951333037,
        5.125658453650257,
        5.125678479169403,
        5.125698981486623,
        5.125719483803844,
        5.12573950932299,
        5.12576001164021,
        5.125780513957431,
        5.125800539476577,
        5.125821041793798,
        5.125841544111019,
        5.125861569630164,
        5.125882071947385,
        5.125902574264606,
        5.125922599783752,
        5.125943102100972,
        5.125963604418192,
        5.1259836299373385,
        5.126004132254559,
        5.1260241577737045,
        5.126044660090925,
        5.126065162408146,
        5.126085187927292,
        5.126105690244513,
        5.126126192561733,
        5.126146218080879,
        5.1261667203981,
        5.126186745917246,
        5.126207248234467,
        5.126227750551687,
        5.126247776070833,
        5.1262682783880535,
        5.1262883039072,
        5.1263088062244195,
        5.126328831743566,
        5.126349334060786,
        5.126369836378007,
        5.126389861897152,
        5.126410364214373,
        5.126430389733519,
        5.12645089205074,
        5.126470917569886,
        5.126491419887106,
        5.126511445406252,
        5.126531947723473,
        5.126552450040694,
        5.126572475559839,
        5.12659297787706,
        5.126613003396206,
        5.126633505713427,
        5.126653531232572,
        5.126674033549793,
        5.126694059068939,
        5.1267145613861596,
        5.126734586905306,
        5.1267550892225255,
        5.126775114741672,
        5.126795617058892,
        5.1268156425780385,
        5.126836144895258,
        5.1268561704144044,
        5.126876672731625,
        5.126896698250771,
        5.126917200567991,
        5.126937226087137,
        5.126957728404358,
        5.126977753923504,
        5.126997779442649,
        5.12701828175987,
        5.127038307279016,
        5.127058809596237,
        5.127078835115382,
        5.127099337432603,
        5.127119362951749,
        5.12713986526897,
        5.127159890788116,
        5.127179916307261,
        5.127200418624482,
        5.127220444143628,
        5.127240946460849,
        5.127260971979994,
        5.127281474297215,
        5.127301499816361,
        5.127321525335507,
        5.127342027652727,
        5.127362053171873,
        5.127382555489094,
        5.12740258100824,
        5.127422606527385,
        5.127443108844606,
        5.127463134363752,
        5.127483159882898,
        5.127503662200118,
        5.127523687719264,
        5.127544190036485,
        5.127564215555631,
        5.127584241074776,
        5.127604743391997,
        5.127624768911143,
        5.127644794430289,
        5.127665296747509,
        5.127685322266655,
        5.127705347785801,
        5.127725850103022,
        5.127745875622167,
        5.127765901141313,
        5.127786403458534,
        5.12780642897768,
        5.127826454496825,
        5.127846956814046,
        5.127866982333192,
        5.127887007852338,
        5.127907510169558,
        5.127927535688704,
        5.12794756120785,
        5.127967586726995,
        5.127988089044216,
        5.128008114563362,
        5.128028140082508,
        5.128048642399729,
        5.128068667918874,
        5.12808869343802,
        5.128108718957166,
        5.128129221274386,
        5.128149246793532,
        5.128169272312678,
        5.128189297831824,
        5.128209800149044,
        5.12822982566819,
        5.128249851187336,
        5.128269876706482,
        5.128290379023702,
        5.128310404542848,
        5.128330430061994,
        5.128350455581139,
        5.12837095789836,
        5.128390983417506,
        5.128411008936652,
        5.128431034455797,
        5.128451059974943,
        5.128471562292164,
        5.12849158781131,
        5.128511613330455,
        5.128531638849601,
        5.128551664368747,
        5.128572166685968,
        5.128592192205113,
        5.1286122177242595,
        5.1286322432434055,
        5.128652268762551,
        5.128672294281697,
        5.1286927965989175,
        5.128712822118064,
        5.128732847637209,
        5.128752873156355,
        5.128772898675501,
        5.128792924194647,
        5.128813426511867,
        5.128833452031013,
        5.128853477550159,
        5.128873503069304,
        5.12889352858845,
        5.128913554107596,
        5.128933579626742,
        5.128953605145887,
        5.128974107463108,
        5.128994132982254,
        5.1290141585014,
        5.129034184020545,
        5.129054209539691,
        5.129074235058837,
        5.129094260577983,
        5.129114286097129,
        5.129134311616275,
        5.12915433713542,
        5.129174839452641,
        5.129194864971787,
        5.129214890490933,
        5.129234916010078,
        5.129254941529224,
        5.12927496704837,
        5.129294992567516,
        5.129315018086661,
        5.129335043605807,
        5.129355069124953,
        5.129375094644098,
        5.129395120163244,
        5.12941514568239,
        5.1294351712015365,
        5.129455196720682,
        5.129475222239828,
        5.129495247758974,
        5.129515273278119,
        5.129535298797265,
        5.129555324316411,
        5.129575349835556,
        5.12993580918018,
        5.129975860218472,
        5.1299958857376176,
        5.130015911256764,
        5.13003593677591,
        5.130055962295055,
        5.130075987814201,
        5.130095536535272,
        5.130115562054418,
        5.130135587573563,
        5.130155613092709,
        5.130175638611855,
        5.1301956641310005,
        5.1302156896501465,
        5.1302357151692926,
        5.130255740688438,
        5.130275766207584,
        5.130295314928655,
        5.1303153404478,
        5.130335365966946,
        5.130355391486092,
        5.130375417005238,
        5.130395442524383,
        5.130415468043529,
        5.1304354935626755,
        5.130455042283746,
        5.130475067802892,
        5.130495093322038,
        5.130515118841183,
        5.130535144360329,
        5.130555169879475,
        5.1305747186005455,
        5.1305947441196915,
        5.130614769638838,
        5.130634795157984,
        5.130654820677129,
        5.130674846196275,
        5.130694394917346,
        5.130714420436491,
        5.130734445955637,
        5.130754471474783,
        5.130774496993928,
        5.130794045715,
        5.130814071234146,
        5.130834096753291,
        5.130854122272437,
        5.130874147791583,
        5.130893696512653,
        5.130913722031799,
        5.130933747550945,
        5.130953773070091,
        5.130973321791162,
        5.130993347310308,
        5.131013372829454,
        5.131033398348599,
        5.13105294706967,
        5.131072972588816,
        5.131092998107961,
        5.131113023627107,
        5.131132572348179,
        5.131152597867324,
        5.13117262338647,
        5.131192648905616,
        5.131212197626686,
        5.131232223145832,
        5.131252248664978,
        5.131271797386049,
        5.131291822905195,
        5.131311848424341,
        5.131331873943487,
        5.131351422664557,
        5.131371448183703,
        5.131391473702849,
        5.1314110224239196,
        5.131431047943066,
        5.131451073462212,
        5.131470622183282,
        5.131490647702428,
        5.131510673221574,
        5.131530221942644,
        5.1315502474617904,
        5.1315702729809365,
        5.131589821702007,
        5.131609847221153,
        5.131629872740299,
        5.131649421461369,
        5.131669446980515,
        5.131689472499661,
        5.131709021220732,
        5.131729046739878,
        5.131748595460948,
        5.131768620980094,
        5.13178864649924,
        5.131808195220311,
        5.1318282207394565,
        5.131848246258603,
        5.131867794979674,
        5.131887820498819,
        5.13190736921989,
        5.131927394739036,
        5.131947420258181,
        5.131966968979253,
        5.131986994498399,
        5.132006543219469,
        5.132026568738615,
        5.132046117459685,
        5.1320661429788315,
        5.1320861684979775,
        5.132105717219048,
        5.132125742738194,
        5.132145291459265,
        5.13216531697841,
        5.1321848656994815,
        5.1322048912186276,
        5.132224439939698,
        5.132244465458844,
        5.13226449097799,
        5.13228403969906,
        5.132304065218206,
        5.132323613939278,
        5.132343639458423,
        5.132363188179494,
        5.13238321369864,
        5.13240276241971,
        5.132422787938856,
        5.132442336659928,
        5.132462362179073,
        5.132481910900144,
        5.13250193641929,
        5.13252148514036,
        5.1325415106595065,
        5.132561059380578,
        5.132581084899723,
        5.132600633620794,
        5.13262065913994,
        5.1326402078610105,
        5.1326602333801565,
        5.132679782101227,
        5.132699330822298,
        5.132719356341444,
        5.1327389050625145,
        5.1327589305816606,
        5.132778479302732,
        5.132798504821877,
        5.132818053542948,
        5.132838079062094,
        5.132857627783165,
        5.132877176504236,
        5.132897202023382,
        5.132916750744452,
        5.132936776263598,
        5.132956324984669,
        5.132976350503815,
        5.132995899224886,
        5.133015447945956,
        5.133035473465102,
        5.1330550221861735,
        5.133075047705319,
        5.13309459642639,
        5.133114145147461,
        5.133134170666606,
        5.1331537193876775,
        5.133173268108748,
        5.133193293627894,
        5.133212842348965,
        5.13323286786811,
        5.1332524165891815,
        5.133271965310253,
        5.133291990829398,
        5.133311539550469,
        5.13333108827154,
        5.1333511137906855,
        5.133370662511757,
        5.133390211232827,
        5.133410236751973,
        5.133429785473044,
        5.133449334194115,
        5.133469359713261,
        5.133488908434332,
        5.133508457155402,
        5.133528482674548,
        5.13354803139562,
        5.13356758011669,
        5.133587128837761,
        5.133607154356906,
        5.133626703077978,
        5.133646251799049,
        5.133666277318194,
        5.133685826039265,
        5.1337053747603365,
        5.133725400279482,
        5.133744949000553,
        5.133764497721623,
        5.1337840464426945,
        5.1338040719618405,
        5.133823620682911,
        5.133843169403982,
        5.133862718125053,
        5.1338827436441985,
        5.13390229236527,
        5.13392184108634,
        5.133941389807411,
        5.133961415326557,
        5.133980964047628,
        5.134000512768699,
        5.13402006148977,
        5.1340396102108405,
        5.134059635729987,
        5.134079184451057,
        5.134098733172128,
        5.134118281893199,
        5.134138307412345,
        5.134157856133416,
        5.134177404854487,
        5.134196953575557,
        5.134216502296629,
        5.134236051017699,
        5.134256076536845,
        5.134275625257916,
        5.134295173978987,
        5.134314722700058,
        5.134334271421128,
        5.134354296940274,
        5.1343738456613455,
        5.134393394382416,
        5.134412943103487,
        5.134432491824558,
        5.134452040545629,
        5.1344715892667,
        5.134491614785845,
        5.134511163506916,
        5.1345307122279875,
        5.134550260949058,
        5.134569809670129,
        5.1345893583911995,
        5.134608907112271,
        5.134628455833342,
        5.134648481352487,
        5.134668030073558,
        5.13468757879463,
        5.1347071275157,
        5.134726676236771,
        5.1347462249578415,
        5.134765773678913,
        5.134785322399984,
        5.134804871121054,
        5.134824419842126,
        5.134844445361271,
        5.134863994082342,
        5.134883542803413,
        5.1349030915244835,
        5.134922640245555,
        5.134942188966625,
        5.134961737687696,
        5.134981286408768,
        5.135000835129838,
        5.135020383850909,
        5.1350399325719795,
        5.135059481293051,
        5.135079030014122,
        5.135098578735192,
        5.135118127456264,
        5.135137676177334,
        5.135157224898405,
        5.135176773619476,
        5.135196322340547,
        5.135215871061618,
        5.135235419782688,
        5.13525496850376,
        5.135274517224831,
        5.135294065945901,
        5.1353136146669724,
        5.135333163388043,
        5.135352712109114,
        5.135372260830185,
        5.135391809551256,
        5.135411358272327,
        5.1354504557144685,
        5.13547000443554,
        5.135528650598752,
        5.135548199319823,
        5.135567748040893,
        5.143148599032759,
        5.151667788636026,
        5.151690198145546,
        5.151713084453141,
        5.151735493962661,
        5.151757903472181,
        5.151780789779777,
        5.151803199289297,
        5.151825608798817,
        5.151848495106413,
        5.151870904615933,
        5.151893314125453,
        5.151916200433049,
        5.151938609942569,
        5.151961019452089,
        5.151983428961609,
        5.152006315269205,
        5.152028724778725,
        5.152051134288245,
        5.152073543797766,
        5.1520964301053604,
        5.1521188396148805,
        5.1521412491244005,
        5.1521636586339215,
        5.152186544941516,
        5.152208954451036,
        5.152231363960557,
        5.152253773470077,
        5.152276659777672,
        5.152299069287193,
        5.152321478796713,
        5.152343888306233,
        5.152366774613828,
        5.152389184123349,
        5.152411593632869,
        5.152434003142389,
        5.15245641265191,
        5.152479298959505,
        5.152501708469025,
        5.152524117978545,
        5.152546527488066,
        5.152568936997586,
        5.152591823305181,
        5.1526142328147015,
        5.152636642324222,
        5.152659051833742,
        5.152681461343262,
        5.152703870852783,
        5.152726757160377,
        5.1527491666698975,
        5.152771576179418,
        5.152793985688938,
        5.1528163951984585,
        5.1528388047079785,
        5.152861214217499,
        5.152884100525094,
        5.152906510034614,
        5.152928919544135,
        5.152951329053655,
        5.152973738563175,
        5.152996148072695,
        5.153018557582216,
        5.153040967091736,
        5.153063853399331,
        5.153086262908852,
        5.153108672418372,
        5.153131081927892,
        5.153153491437412,
        5.153175900946933,
        5.153198310456453,
        5.153220719965973,
        5.153243129475494,
        5.153265538985014,
        5.153287948494534,
        5.153310358004054,
        5.15333324431165,
        5.15335565382117,
        5.15337806333069,
        5.153400472840211,
        5.153422882349731,
        5.153445291859251,
        5.153624567935413,
        5.153646977444933,
        5.153669386954454,
        5.153691796463974,
        5.153714205973494,
        5.153736615483015,
        5.153759024992535,
        5.153781434502055,
        5.153803844011575,
        5.153826253521096,
        5.153848663030616,
        5.153871072540136,
        5.153893482049656,
        5.153915891559177,
        5.153938301068697,
        5.153960710578217,
        5.153983120087738,
        5.154005529597258,
        5.154027939106778,
        5.154050348616298,
        5.154072758125819,
        5.154095167635339,
        5.154117577144859,
        5.1541395098563045,
        5.1541619193658255,
        5.1541843288753455,
        5.1542067383848655,
        5.154229147894386,
        5.1542515574039065,
        5.1542739669134265,
        5.154296376422947,
        5.154318785932467,
        5.1543411954419875,
        5.154363604951508,
        5.154386014461028,
        5.154407947172473,
        5.154430356681994,
        5.154452766191514,
        5.154475175701034,
        5.154497585210554,
        5.154519994720075,
        5.154542404229595,
        5.154564813739115,
        5.15458674645056,
        5.154609155960081,
        5.154631565469601,
        5.154653974979121,
        5.154676384488642,
        5.154698793998162,
        5.154721203507682,
        5.154743136219127,
        5.154765545728648,
        5.154787955238168,
        5.154810364747688,
        5.154832774257208,
        5.154855183766729,
        5.154877116478175,
        5.154899525987695,
        5.154921935497215,
        5.154944345006736,
        5.154966754516256,
        5.154988687227701,
        5.155011096737221,
        5.155033506246742,
        5.155055915756262,
        5.155078325265782,
        5.155100257977227,
        5.155122667486747,
        5.155145076996268,
        5.155167486505788,
        5.155189419217233,
        5.155211828726753,
        5.155234238236274,
        5.155256647745794,
        5.155279057255314,
        5.15530098996676,
        5.155323399476281,
        5.155345808985801,
        5.155368218495321,
        5.155390151206766,
        5.155412560716287,
        5.155434970225807,
        5.155456902937252,
        5.155479312446772,
        5.155501721956293,
        5.155524131465813,
        5.155546064177258,
        5.155568473686778,
        5.155590883196299,
        5.155612815907745,
        5.155635225417265,
        5.155657634926785,
        5.155680044436306,
        5.155701977147751,
        5.155724386657271,
        5.155746796166791,
        5.155768728878236,
        5.155791138387757,
        5.155813547897277,
        5.155835480608722,
        5.155857890118242,
        5.155880299627763,
        5.1559022323392085,
        5.155924641848729,
        5.155947051358249,
        5.155968984069694,
        5.155991393579215,
        5.15601332629066,
        5.15603573580018,
        5.1560581453097,
        5.156080078021146,
        5.156102487530666,
        5.156124897040186,
        5.1561468297516315,
        5.1561692392611524,
        5.156191171972598,
        5.156213581482118,
        5.156235990991638,
        5.156257923703083,
        5.156280333212604,
        5.156302265924049,
        5.156324675433569,
        5.156347084943089,
        5.156369017654535,
        5.156391427164055,
        5.156413359875501,
        5.156435769385021,
        5.156457702096466,
        5.156480111605987,
        5.156502521115507,
        5.156568796047918,
        5.156591205557438,
        5.156613138268884,
        5.156635547778404,
        5.156657480489849,
        5.15667988999937,
        5.156701822710815,
        5.156724232220335,
        5.15674616493178,
        5.1567685744413,
        5.156790983950821,
        5.1568129166622665,
        5.1568353261717865,
        5.156857258883232,
        5.156879668392753,
        5.156901601104198,
        5.156924010613718,
        5.156945943325163,
        5.1569678760366084,
        5.156990285546129,
        5.157012218257575,
        5.157034627767095,
        5.15705656047854,
        5.15707896998806,
        5.157100902699506,
        5.157123312209026,
        5.157145244920471,
        5.157167654429991,
        5.157189587141437,
        5.1572119966509575,
        5.157233929362403,
        5.157255862073848,
        5.157278271583368,
        5.157300204294813,
        5.157322613804334,
        5.1573445465157794,
        5.1573669560252995,
        5.157388888736745,
        5.15741082144819,
        5.157433230957711,
        5.157455163669156,
        5.157477573178676,
        5.157499505890121,
        5.1575214386015675,
        5.157543848111088,
        5.157565780822533,
        5.157588190332053,
        5.157610123043498,
        5.157632055754944,
        5.157654465264464,
        5.1576763979759095,
        5.157698330687355,
        5.157720740196875,
        5.157742672908321,
        5.157765082417841,
        5.157787015129286,
        5.157808947840731,
        5.1578313573502514,
        5.157853290061698,
        5.157875222773143,
        5.157897632282663,
        5.157919564994108,
        5.157941497705553,
        5.157963907215074,
        5.1579858399265195,
        5.158007772637965,
        5.158030182147485,
        5.15805211485893,
        5.158074047570375,
        5.158095980281821,
        5.158118389791341,
        5.158140322502787,
        5.158162255214232,
        5.158184664723752,
        5.158206597435198,
        5.158228530146643,
        5.1582504628580885,
        5.158272872367609,
        5.158294805079054,
        5.1583167377905,
        5.15833914730002,
        5.158361080011465,
        5.15838301272291,
        5.158404945434356,
        5.158427354943877,
        5.158449287655322,
        5.158471220366767,
        5.158493153078212,
        5.158515562587732,
        5.158537495299178,
        5.158559428010624,
        5.158581360722069,
        5.158603293433514,
        5.158625702943034,
        5.1586476356544795,
        5.158669568365925,
        5.158691501077371,
        5.158713433788816,
        5.158735843298336,
        5.158757776009781,
        5.158779708721227,
        5.158801641432673,
        5.158823574144118,
        5.158845983653638,
        5.158867916365083,
        5.1588898490765285,
        5.158911781787974,
        5.15893371449942,
        5.158955647210865,
        5.158978056720385,
        5.15899998943183,
        5.159021922143276,
        5.159043854854721,
        5.159065787566167,
        5.159087720277612,
        5.159110129787132,
        5.1591320624985775,
        5.159153995210023,
        5.159175927921469,
        5.159197860632914,
        5.159219793344359,
        5.1592417260558046,
        5.15926365876725,
        5.15928606827677,
        5.159308000988216,
        5.159329933699661,
        5.159351866411106,
        5.159373799122552,
        5.159395731833997,
        5.159417664545442,
        5.159439597256888,
        5.1594615299683335,
        5.159483462679779,
        5.159505395391224,
        5.159527804900744,
        5.159549737612189,
        5.159571670323635,
        5.159593603035081,
        5.159615535746526,
        5.159725199303753,
        5.159747132015198,
        5.159769064726643,
        5.159790997438089,
        5.159812930149534,
        5.159834862860979,
        5.159856795572425,
        5.1598787282838705,
        5.159900660995316,
        5.159922593706761,
        5.159944526418206,
        5.1599664591296515,
        5.159988391841098,
        5.160010324552543,
        5.160032257263988,
        5.160054189975433,
        5.1600761226868785,
        5.160098055398324,
        5.16011998810977,
        5.160141920821215,
        5.16016385353266,
        5.160185786244106,
        5.160207718955551,
        5.160229651666996,
        5.160251584378441,
        5.1602735170898875,
        5.160295449801333,
        5.160317382512778,
        5.160339315224223,
        5.160361247935668,
        5.160382703849039,
        5.160404636560484,
        5.16042656927193,
        5.1604485019833755,
        5.160470434694821,
        5.160492367406266,
        5.160514300117711,
        5.160536232829156,
        5.1605581655406025,
        5.160580098252048,
        5.160602030963493,
        5.160623963674938,
        5.160645419588309,
        5.160667352299754,
        5.160689285011199,
        5.160711217722645,
        5.1607331504340905,
        5.160755083145536,
        5.160777015856981,
        5.160798948568426,
        5.160820404481797,
        5.160842337193242,
        5.160864269904688,
        5.160886202616133,
        5.1609081353275785,
        5.160930068039024,
        5.160951523952394,
        5.160973456663839,
        5.160995389375285,
        5.16101732208673,
        5.161039254798176,
        5.161061187509621,
        5.161082643422992,
        5.161104576134437,
        5.161126508845882,
        5.161148441557327,
        5.161170374268773,
        5.161191830182144,
        5.161213762893589,
        5.1612356956050345,
        5.16125762831648,
        5.161279561027925,
        5.161301016941295,
        5.161322949652741,
        5.161344882364187,
        5.161366815075632,
        5.161388747787077,
        5.161410203700448,
        5.161432136411893,
        5.161454069123338,
        5.161476001834783,
        5.161497457748154,
        5.1615193904596,
        5.161541323171045,
        5.16156325588249,
        5.161584711795861,
        5.161606644507306,
        5.161628577218751,
        5.161650033132122,
        5.161671965843567,
        5.161693898555013,
        5.161715831266458,
        5.161737287179829,
        5.161759219891274,
        5.161781152602719,
        5.16180260851609,
        5.161824541227535,
        5.16184647393898,
        5.161868406650426,
        5.161889862563797,
        5.161911795275242,
        5.161933727986687,
        5.161955183900058,
        5.161977116611503,
        5.161999049322948,
        5.162020505236319,
        5.162042437947765,
        5.16206437065921,
        5.16208582657258,
        5.162107759284026,
        5.162129215197396,
        5.162151147908841,
        5.162173080620287,
        5.162194536533657,
        5.162216469245102,
        5.162238401956548,
        5.162259857869919,
        5.162281790581364,
        5.162303723292809,
        5.16232517920618,
        5.162347111917625,
        5.162368567830995,
        5.162390500542441,
        5.162412433253887,
        5.162433889167257,
        5.1624558218787024,
        5.162477277792073,
        5.162499210503518,
        5.162521143214963,
        5.162542599128334,
        5.162564531839779,
        5.1625859877531495,
        5.162607920464595,
        5.162629376377966,
        5.162651309089411,
        5.1626732418008565,
        5.162694697714227,
        5.162716630425672,
        5.162738086339043,
        5.162760019050488,
        5.162781474963858,
        5.1628034076753035,
        5.162824863588675,
        5.16284679630012,
        5.1628682522134905,
        5.162890184924936,
        5.162911640838306,
        5.1629335735497515,
        5.162955029463122,
        5.162976962174567,
        5.162998418087938,
        5.163020350799383,
        5.163041806712754,
        5.163063739424199,
        5.16308519533757,
        5.163107128049015,
        5.1631285839623855,
        5.163150516673831,
        5.163171972587201,
        5.163193905298646,
        5.163215361212017,
        5.163237293923462,
        5.163258749836833,
        5.163280682548279,
        5.163302138461649,
        5.163324071173094,
        5.163345527086465,
        5.163366982999835,
        5.1633889157112804,
        5.163410371624651,
        5.163432304336096,
        5.163453760249467,
        5.163475692960913,
        5.163497148874283,
        5.163518604787654,
        5.163540537499099,
        5.163561993412469,
        5.1635839261239145,
        5.163605382037285,
        5.163626837950655,
        5.163648770662101,
        5.163670226575471,
        5.163692159286916,
        5.163713615200287,
        5.163735071113658,
        5.163757003825103,
        5.163778459738474,
        5.163800392449919,
        5.163821848363289,
        5.16384330427666,
        5.163865236988105,
        5.1638866929014755,
        5.163908148814846,
        5.163930081526291,
        5.163951537439662,
        5.163972993353032,
        5.163994926064478,
        5.164016381977849,
        5.164037837891219,
        5.164059770602664,
        5.164081226516035,
        5.164102682429405,
        5.16412461514085,
        5.164146071054221,
        5.164167526967591,
        5.1641894596790365,
        5.164210915592407,
        5.164232371505777,
        5.1642543042172235,
        5.164275760130594,
        5.164297216043964,
        5.164318671957335,
        5.16434060466878,
        5.1643620605821505,
        5.164383516495521,
        5.164405449206966,
        5.164426905120337,
        5.164448361033707,
        5.1644698169470775,
        5.164491749658523,
        5.164513205571893,
        5.1645346614852645,
        5.164556117398635,
        5.16457805011008,
        5.164599506023451,
        5.164620961936821,
        5.1646424178501915,
        5.164664350561637,
        5.164685806475007,
        5.164707262388378,
        5.164728718301748,
        5.1647501742151185,
        5.164772106926564,
        5.164793562839934,
        5.164815018753305,
        5.164836474666675,
        5.164857930580046,
        5.164879863291492,
        5.164901319204862,
        5.1649227751182325,
        5.164944231031603,
        5.164965686944973,
        5.164987619656419,
        5.165009075569789,
        5.1650305314831595,
        5.16505198739653,
        5.1650734433099,
        5.165094899223271,
        5.165116355136641,
        5.1651382878480865,
        5.165159743761458,
        5.165181199674828,
        5.165202655588199,
        5.165224111501569,
        5.16524556741494,
        5.16526702332831,
        5.165288956039755,
        5.165310411953126,
        5.165331867866496,
        5.165353323779867,
        5.165374779693237,
        5.165396235606607,
        5.165417691519978,
        5.165439147433348,
        5.165460603346719,
        5.165482536058164,
        5.165503991971534,
        5.165525447884905,
        5.165546903798276,
        5.165568359711647,
        5.165589815625017,
        5.1656112715383875,
        5.165632727451758,
        5.165654183365128,
        5.165675639278499,
        5.165697095191869,
        5.16571855110524,
        5.16574000701861,
        5.165761462931981,
        5.165782918845351,
        5.165804851556796,
        5.165826307470167,
        5.165847763383537,
        5.165869219296908,
        5.165890675210278,
        5.165912131123648,
        5.165933587037019,
        5.16595504295039,
        5.165976498863761,
        5.165997954777131,
        5.1660194106905015,
        5.166040866603872,
        5.166062322517242,
        5.166083778430613,
        5.166105234343983,
        5.166126690257354,
        5.166148146170724,
        5.166169602084095,
        5.166191057997465,
        5.1662125139108355,
        5.166233969824206,
        5.166255425737576,
        5.166276404852872,
        5.166297860766242,
        5.166319316679613,
        5.166340772592983,
        5.166362228506354,
        5.166383684419724,
        5.166405140333095,
        5.166426596246465,
        5.1664480521598355,
        5.166469508073206,
        5.166490963986577,
        5.166512419899948,
        5.166533875813318,
        5.166555331726689,
        5.166576787640059,
        5.166597766755355,
        5.166619222668725,
        5.1666406785820955,
        5.166662134495466,
        5.166683590408836,
        5.166705046322207,
        5.166726502235577,
        5.166747958148948,
        5.166769414062318,
        5.166790393177614,
        5.166811849090984,
        5.166833305004355,
        5.166854760917725,
        5.1668762168310955,
        5.166897672744466,
        5.166919128657836,
        5.166940107773132,
        5.1669615636865025,
        5.166983019599873,
        5.167004475513243,
        5.167025931426614,
        5.167047387339984,
        5.167068843253355,
        5.16708982236865,
        5.167111278282021,
        5.167132734195391,
        5.167154190108762,
        5.167175646022133,
        5.167196625137428,
        5.167218081050798,
        5.1672395369641695,
        5.16726099287754,
        5.16728244879091,
        5.167303427906206,
        5.167324883819576,
        5.167346339732947,
        5.167367795646317,
        5.167389251559688,
        5.167410230674983,
        5.167431686588354,
        5.167453142501724,
        5.167474598415095,
        5.16749557753039,
        5.167517033443761,
        5.167538489357131,
        5.167559945270502,
        5.167580924385797,
        5.167602380299168,
        5.167623836212538,
        5.167645292125909,
        5.167666271241204,
        5.167687727154575,
        5.167709183067945,
        5.167730162183241,
        5.167751618096611,
        5.167773074009982,
        5.167794529923352,
        5.167815509038648,
        5.167836964952018,
        5.167858420865389,
        5.167879399980684,
        5.167900855894055,
        5.167922311807425,
        5.167943290922721,
        5.167964746836091,
        5.167986202749462,
        5.168007181864757,
        5.168028637778128,
        5.168050093691498,
        5.168071072806794,
        5.168092528720164,
        5.168113984633535,
        5.16813496374883,
        5.168156419662201,
        5.168177875575571,
        5.168198854690867,
        5.168220310604237,
        5.168241766517608,
        5.168262745632903,
        5.168284201546274,
        5.168305180661569,
        5.16832663657494,
        5.16834809248831,
        5.168369071603606,
        5.168390527516976,
        5.168411506632272,
        5.168432962545642,
        5.168454418459013,
        5.1684753975743085,
        5.168496853487679,
        5.168517832602975,
        5.168539288516345,
        5.1685607444297155,
        5.168581723545011,
        5.1686031794583815,
        5.168624158573677,
        5.168645614487048,
        5.168666593602343,
        5.168688049515714,
        5.168709505429084,
        5.16873048454438,
        5.16875194045775,
        5.168772919573046,
        5.168794375486416,
        5.168815354601712,
        5.168836810515082,
        5.168857789630378,
        5.1688792455437484,
        5.168900224659044,
        5.1689216805724145,
        5.16894265968771,
        5.168964115601081,
        5.168985094716376,
        5.169006550629747,
        5.169027529745042,
        5.169048985658413,
        5.169069964773708,
        5.169091420687079,
        5.1691123998023745,
        5.169133855715745,
        5.1691548348310405,
        5.169176290744411,
        5.169197269859707,
        5.169218725773077,
        5.169239704888373,
        5.169261160801743,
        5.169282139917039,
        5.169303595830409,
        5.169324574945705,
        5.1693455540610005,
        5.169367009974371,
        5.169387989089667,
        5.169409445003037,
        5.169430424118333,
        5.169451880031703,
        5.169472859146999,
        5.169493838262294,
        5.169515294175665,
        5.16953627329096,
        5.169557729204331,
        5.1695787083196265,
        5.169600164232997,
        5.169621143348293,
        5.169642122463587,
        5.169663578376959,
        5.169684557492253,
        5.169706013405624,
        5.1697269925209195,
        5.169747971636215,
        5.169769427549586,
        5.169790406664881,
        5.169811385780177,
        5.169832841693547,
        5.169853820808843,
        5.169874799924139,
        5.169896255837509,
        5.169917234952805,
        5.169938690866175,
        5.169959669981471,
        5.169980649096766,
        5.170002105010137,
        5.170023084125432,
        5.170044063240728,
        5.170065042356024,
        5.170086498269394,
        5.17010747738469,
        5.170128456499985,
        5.170149912413356,
        5.1701708915286515,
        5.170191870643947,
        5.170213326557318,
        5.170234305672613,
        5.170255284787909,
        5.170276740701279,
        5.170297719816575,
        5.170318698931871,
        5.170339678047165,
        5.170361133960537,
        5.170382113075831,
        5.170403092191127,
        5.170424071306423,
        5.170445527219793,
        5.170466506335089,
        5.170487485450384,
        5.17050846456568,
        5.1705299204790505,
        5.170550899594346,
        5.170571878709642,
        5.170592857824937,
        5.170614313738308,
        5.1706352928536035,
        5.170656271968899,
        5.170677251084195,
        5.170698706997565,
        5.170719686112861,
        5.1707406652281565,
        5.170761644343452,
        5.170782623458748,
        5.170804079372118,
        5.170825058487414,
        5.170846037602709,
        5.170867016718004,
        5.1708879958333,
        5.17090945174667,
        5.170930430861966,
        5.1709514099772615,
        5.170972389092557,
        5.170993368207853,
        5.1710143473231485,
        5.171035803236519,
        5.1710567823518145,
        5.17107776146711,
        5.171098740582406,
        5.1711197196977015,
        5.171140698812997,
        5.171161677928293,
        5.171183133841663,
        5.171204112956959,
        5.1712250920722544,
        5.17124607118755,
        5.171267050302846,
        5.1712880294181405,
        5.171309008533436,
        5.171329987648732,
        5.171350966764027,
        5.171372422677398,
        5.1713934017926935,
        5.171414380907989,
        5.171435360023285,
        5.17145633913858,
        5.172414703269128,
        5.174299009261131,
        5.174319988376427,
        5.174340967491722,
        5.174361469808943,
        5.174382448924239,
        5.1744029512414595,
        5.174423930356755,
        5.174444909472051,
        5.174465411789272,
        5.174486390904566,
        5.174506893221787,
        5.174527872337083,
        5.174548374654304,
        5.174569353769599,
        5.17458985608682,
        5.174610835202116,
        5.1746318143174115,
        5.174652316634632,
        5.174673295749927,
        5.174693798067148,
        5.1747147771824435,
        5.174735279499664,
        5.17475625861496,
        5.174776760932181,
        5.1747977400474765,
        5.174818242364697,
        5.174839221479992,
        5.174859723797213,
        5.174880702912509,
        5.174901205229729,
        5.174922184345025,
        5.174942686662246,
        5.1749636657775415,
        5.174984168094762,
        5.175005147210057,
        5.175025649527278,
        5.175046628642574,
        5.175067130959794,
        5.17508811007509,
        5.175108612392311,
        5.175378003304629,
        5.17539850562185,
        5.1754190079390705,
        5.175439987054366,
        5.175460489371587,
        5.175481468486882,
        5.175501970804103,
        5.175522473121323,
        5.175543452236619,
        5.17556395455384,
        5.1755849336691355,
        5.175605435986356,
        5.175625938303576,
        5.175646917418872,
        5.175667419736093,
        5.175687922053314,
        5.175708901168609,
        5.17572940348583,
        5.175749905803051,
        5.175770884918347,
        5.1757913872355665,
        5.175812366350862,
        5.175832868668083,
        5.175853370985304,
        5.1758743501005995,
        5.17589485241782,
        5.17591535473504,
        5.175935857052261,
        5.175956836167557,
        5.175977338484778,
        5.175997840801998,
        5.176018819917294,
        5.176039322234515,
        5.176059824551735,
        5.1760808036670305,
        5.176101305984251,
        5.176121808301472,
        5.176142310618693,
        5.176163289733989,
        5.1761837920512095,
        5.176204294368429,
        5.176225273483725,
        5.176245775800946,
        5.176266278118167,
        5.176286780435388,
        5.176307759550683,
        5.176328261867904,
        5.176348764185124,
        5.176369266502345,
        5.1763902456176405,
        5.176410747934861,
        5.176431250252082,
        5.176451752569303,
        5.176472254886523,
        5.176493234001819,
        5.176513736319039,
        5.17653423863626,
        5.176554740953481,
        5.176575243270702,
        5.176596222385998,
        5.1766167247032175,
        5.176637227020438,
        5.176657729337659,
        5.17667823165488,
        5.176699210770176,
        5.1767197130873965,
        5.1767402154046165,
        5.176760717721837,
        5.176781220039058,
        5.176802199154354,
        5.176822701471575,
        5.1768432037887955,
        5.176863706106015,
        5.176884208423236,
        5.176904710740457,
        5.176925213057678,
        5.176946192172974,
        5.176966694490194,
        5.176987196807415,
        5.177007699124635,
        5.177028201441856,
        5.177048703759077,
        5.177069206076298,
        5.177089708393519,
        5.177110687508814,
        5.177131189826034,
        5.177151692143255,
        5.177172194460476,
        5.177192696777697,
        5.1772131990949175,
        5.1772337014121375,
        5.177254203729358,
        5.177274706046579,
        5.1772952083638,
        5.177315710681021,
        5.1773366897963164,
        5.177357192113537,
        5.177377694430757,
        5.177398196747978,
        5.177418699065199,
        5.17743920138242,
        5.177459703699641,
        5.1774802060168605,
        5.177500708334081,
        5.177521210651302,
        5.177541712968523,
        5.177562215285744,
        5.177582717602965,
        5.177603219920185,
        5.1776237222374055,
        5.177644224554626,
        5.177664726871847,
        5.177685229189068,
        5.177705731506288,
        5.177726233823509,
        5.17774673614073,
        5.1777672384579505,
        5.177787740775171,
        5.177808243092392,
        5.177828745409612,
        5.177849247726833,
        5.177869750044054,
        5.177890252361275,
        5.1779107546784955,
        5.177931256995715,
        5.177951759312936,
        5.177972261630157,
        5.177992763947378,
        5.178013266264599,
        5.17803376858182,
        5.17805427089904,
        5.17807477321626,
        5.178095275533481,
        5.178115777850702,
        5.178136280167923,
        5.178156305687068,
        5.178176808004289,
        5.17819731032151,
        5.178217812638731,
        5.178238314955951,
        5.178258817273172,
        5.178279319590392,
        5.178299821907613,
        5.178320324224834,
        5.178340826542055,
        5.178361328859276,
        5.178381354378421,
        5.178401856695642,
        5.178422359012862,
        5.178442861330083,
        5.178463363647304,
        5.178483865964524,
        5.178504368281745,
        5.178524870598966,
        5.178544896118112,
        5.178565398435333,
        5.1785859007525525,
        5.178606403069773,
        5.178626905386994,
        5.178647407704215,
        5.178667910021436,
        5.178687935540581,
        5.178708437857802,
        5.178728940175023,
        5.178749442492244,
        5.178769944809464,
        5.1787899703286095,
        5.17881047264583,
        5.178830974963051,
        5.178851477280272,
        5.178871979597493,
        5.178892005116638,
        5.178912507433859,
        5.17893300975108,
        5.178953512068301,
        5.178974014385521,
        5.178994039904667,
        5.179014542221887,
        5.179035044539108,
        5.179055546856329,
        5.17907604917355,
        5.179096074692695,
        5.179116577009916,
        5.179137079327137,
        5.179157581644358,
        5.179177607163504,
        5.179198109480724,
        5.179218611797944,
        5.179239114115165,
        5.179259139634311,
        5.179279641951532,
        5.179300144268752,
        5.179320169787898,
        5.179340672105119,
        5.17936117442234,
        5.179381676739561,
        5.179401702258706,
        5.179422204575927,
        5.1794427068931475,
        5.1794627324122935,
        5.179483234729513,
        5.179503737046734,
        5.17952376256588,
        5.179544264883101,
        5.179564767200322,
        5.179585269517542,
        5.179605295036688,
        5.179625797353909,
        5.17964629967113,
        5.179666325190275,
        5.179686827507496,
        5.179706853026642,
        5.1797273553438625,
        5.179747857661083,
        5.1797678831802285,
        5.179788385497449,
        5.17980888781467,
        5.179828913333816,
        5.179849415651037,
        5.179869917968257,
        5.179889943487403,
        5.179910445804624,
        5.17993047132377,
        5.17995097364099,
        5.179971475958211,
        5.179991501477357,
        5.180012003794578,
        5.180032029313723,
        5.180052531630944,
        5.180073033948164,
        5.1800930594673105,
        5.180113561784531,
        5.1801335873036765,
        5.180154089620897,
        5.180174591938118,
        5.180194617457264,
        5.180215119774485,
        5.18023514529363,
        5.180255647610851,
        5.180275673129997,
        5.180296175447218,
        5.180316200966363,
        5.180336703283584,
        5.180357205600805,
        5.180377231119951,
        5.180397733437171,
        5.180417758956317,
        5.180438261273538,
        5.180458286792684,
        5.1804787891099044,
        5.18049881462905,
        5.18051931694627,
        5.1805393424654165,
        5.180559844782637,
        5.1805798703017825,
        5.180600372619003,
        5.180620398138149,
        5.18064090045537,
        5.180660925974515,
        5.180681428291736,
        5.180701453810882,
        5.180721956128103,
        5.180741981647248,
        5.180762483964469,
        5.180782509483615,
        5.180803011800836,
        5.180823037319981,
        5.180843062839127,
        5.180863565156348,
        5.180883590675494,
        5.180904092992715,
        5.18092411851186,
        5.180944620829081,
        5.180964646348227,
        5.180985148665448,
        5.181005174184593,
        5.181025199703739,
        5.18104570202096,
        5.181065727540106,
        5.181086229857326,
        5.181106255376472,
        5.181126280895618,
        5.181146783212839,
        5.181166808731984,
        5.181187311049205,
        5.181207336568351,
        5.181227362087497,
        5.181247864404717,
        5.181267889923863,
        5.181287915443009,
        5.1813084177602295,
        5.181328443279375,
        5.1813489455965955,
        5.181368971115742,
        5.181388996634888,
        5.181409498952108,
        5.181429524471254,
        5.1814495499904,
        5.1814700523076205,
        5.181490077826766,
        5.181510103345912,
        5.1815306056631325,
        5.1815506311822785,
        5.181570656701424,
        5.1815911590186445,
        5.181611184537791,
        5.181631210056936,
        5.181651712374157,
        5.181671737893303,
        5.181691763412449,
        5.1817122657296695,
        5.181732291248815,
        5.181752316767961,
        5.181772342287107,
        5.181792844604327,
        5.181812870123473,
        5.181832895642619,
        5.18185339795984,
        5.181873423478985,
        5.181893448998131,
        5.181913474517277,
        5.181933976834498,
        5.181954002353643,
        5.181974027872789,
        5.181994053391935,
        5.182014555709156,
        5.182034581228301,
        5.182054606747447,
        5.182074632266593,
        5.182095134583814,
        5.182115160102959,
        5.182135185622105,
        5.182155211141251,
        5.182175236660396,
        5.182195738977617,
        5.182215764496763,
        5.182235790015909,
        5.182255815535054,
        5.1822758410542,
        5.182296343371421,
        5.182316368890567,
        5.182336394409712,
        5.182356419928858,
        5.182376445448004,
        5.182396947765225,
        5.18241697328437,
        5.182436998803516,
        5.182457024322662,
        5.182477049841808,
        5.182497075360954,
        5.1825175776781744,
        5.1825376031973205,
        5.182557628716466,
        5.182577654235612,
        5.182597679754758,
        5.182617705273903,
        5.182637730793049,
        5.18265823311027,
        5.182678258629416,
        5.182698284148561,
        5.182718309667707,
        5.182738335186853,
        5.182758360705999,
        5.182778386225144,
        5.18279841174429,
        5.182818437263436,
        5.182838939580656,
        5.182858965099802,
        5.182878990618948,
        5.182899016138094,
        5.1829190416572395,
        5.1829390671763855,
        5.182959092695532,
        5.182979118214677,
        5.182999143733823,
        5.183019169252969,
        5.183039194772115,
        5.18305922029126,
        5.183079245810406,
        5.183099271329552,
        5.183119296848697,
        5.183139799165918,
        5.183159824685064,
        5.18317985020421,
        5.183199875723355,
        5.183219901242501,
        5.183239926761647,
        5.1832599522807925,
        5.1832799777999385,
        5.183300003319085,
        5.183320028838231,
        5.183340054357376,
        5.183360079876522,
        5.183380105395668,
        5.183400130914813,
        5.183420156433959,
        5.183440181953105,
        5.183460207472251,
        5.183480232991396,
        5.183500258510542,
        5.183520284029688,
        5.1835403095488335,
        5.1835603350679795,
        5.183580360587126,
        5.183600386106271,
        5.183619934827342,
        5.183639960346488,
        5.183659985865634,
        5.183680011384779,
        5.183700036903925,
        5.183720062423071,
        5.183740087942216,
        5.1837601134613625,
        5.1837801389805085,
        5.183800164499654,
        5.1838201900188,
        5.183840215537946,
        5.183860241057092,
        5.183880266576237,
        5.183899815297308,
        5.183919840816454,
        5.183939866335599,
        5.183959891854745,
        5.183979917373891,
        5.183999942893037,
        5.184019968412183,
        5.184039993931329,
        5.184060019450475,
        5.184079568171545,
        5.184099593690691,
        5.184119619209837,
        5.184139644728982,
        5.184159670248128,
        5.184179695767274,
        5.1841997212864195,
        5.1842197468055655,
        5.184239295526637,
        5.184259321045782,
        5.184279346564928,
        5.184299372084074,
        5.18431939760322,
        5.184339423122365,
        5.184358971843436,
        5.1843789973625825,
        5.184399022881728,
        5.184419048400874,
        5.18443907392002,
        5.18445862264109,
        5.184478648160236,
        5.184498673679382,
        5.184518699198527,
        5.184538724717673,
        5.1845582734387445,
        5.18457829895789,
        5.184598324477036,
        5.184618349996182,
        5.184637898717252,
        5.184657924236398,
        5.184677949755544,
        5.18469797527469,
        5.184718000793835,
        5.184737549514907,
        5.184757575034053,
        5.184777600553198,
        5.184797626072344,
        5.184817174793415,
        5.18483720031256,
        5.184857225831706,
        5.1848767745527775,
        5.184896800071923,
        5.184916825591069,
        5.184936851110215,
        5.184956399831285,
        5.184976425350431,
        5.184996450869577,
        5.1850159995906475,
        5.185036025109794,
        5.18505605062894,
        5.185076076148085,
        5.185095624869156,
        5.185115650388302,
        5.185135675907447,
        5.185155224628518,
        5.1851752501476644,
        5.18519527566681,
        5.185214824387881,
        5.185234849907027,
        5.185254875426173,
        5.185274424147243,
        5.185294449666389,
        5.185314475185535,
        5.185334023906606,
        5.185354049425752,
        5.185374074944898,
        5.185393623665968,
        5.185413649185114,
        5.1854331979061845,
        5.1854532234253305,
        5.185473248944477,
        5.185492797665547,
        5.185512823184693,
        5.185532848703839,
        5.185552397424909,
        5.185572422944055,
        5.185591971665127,
        5.185611997184272,
        5.185632022703418,
        5.185651571424489,
        5.185671596943634,
        5.1856911456647055,
        5.1857111711838515,
        5.185730719904922,
        5.185750745424068,
        5.185770770943214,
        5.185790319664284,
        5.18581034518343,
        5.1858298939045016,
        5.185849919423647,
        5.185869468144718,
        5.185889493663864,
        5.185909042384934,
        5.18592906790408,
        5.185949093423226,
        5.185968642144297,
        5.185988667663443,
        5.186008216384514,
        5.186028241903659,
        5.18604779062473,
        5.1860678161438765,
        5.186087364864947,
        5.186107390384093,
        5.186126939105164,
        5.186146964624309,
        5.1861665133453805,
        5.1861865388645265,
        5.186206087585597,
        5.186226113104743,
        5.186245661825813,
        5.186265687344959,
        5.1862852360660305,
        5.186305261585176,
        5.186324810306247,
        5.186344359027318,
        5.186364384546463,
        5.1863839332675346,
        5.186403958786681,
        5.186423507507751,
        5.186443533026897,
        5.186463081747968,
        5.186483107267113,
        5.186502655988185,
        5.186522204709255,
        5.186542230228401,
        5.186561778949472,
        5.186581804468618,
        5.186601353189689,
        5.186621378708835,
        5.186640927429905,
        5.186818296313768,
        5.186838321832914,
        5.186857870553984,
        5.18687789607313,
        5.186897444794202,
        5.186916993515272,
        5.186937019034418,
        5.186956567755489,
        5.1869761164765595,
        5.186996141995706,
        5.187015690716777,
        5.187035239437847,
        5.187055264956993,
        5.187074813678064,
        5.187094362399135,
        5.187114387918281,
        5.187133936639351,
        5.187153485360422,
        5.1871735108795685,
        5.187193059600639,
        5.18721260832171,
        5.187232633840856,
        5.187252182561926,
        5.187271731282998,
        5.187291280004068,
        5.187311305523214,
        5.187330854244285,
        5.187350402965356,
        5.187370428484502,
        5.187389977205573,
        5.187409525926643,
        5.1874290746477145,
        5.18744910016686,
        5.187468648887931,
        5.187488197609002,
        5.1875077463300725,
        5.1875277718492185,
        5.18754732057029,
        5.18756686929136,
        5.187586418012431,
        5.1876064435315765,
        5.187625992252648,
        5.187645540973719,
        5.187665089694789,
        5.187684638415861,
        5.187704663935007,
        5.187724212656077,
        5.187743761377148,
        5.187763310098219,
        5.18778285881929,
        5.187802884338436,
        5.187822433059506,
        5.187841981780577,
        5.187861530501648,
        5.187881079222719,
        5.187901104741865,
        5.187920653462935,
        5.187940202184007,
        5.187959750905078,
        5.187979299626148,
        5.1879988483472195,
        5.188018873866365,
        5.188038422587436,
        5.188057971308507,
        5.1880775200295774,
        5.188097068750649,
        5.188116617471719,
        5.18813616619279,
        5.188156191711936,
        5.188175740433007,
        5.188195289154078,
        5.188214837875148,
        5.1882343865962195,
        5.188253935317291,
        5.188273484038361,
        5.188293032759432,
        5.188313058278578,
        5.188332606999649,
        5.18835215572072,
        5.18837170444179,
        5.1883912531628615,
        5.188410801883933,
        5.188430350605003,
        5.188449899326074,
        5.188469448047145,
        5.188488996768216,
        5.188508545489287,
        5.1885280942103575,
        5.188547642931429,
        5.188567668450574,
        5.188587217171645,
        5.188606765892716,
        5.188626314613787,
        5.188645863334858,
        5.188665412055928,
        5.188684960777,
        5.188704509498071,
        5.188724058219141,
        5.188743606940212,
        5.188763155661283,
        5.188782704382354,
        5.188802253103425,
        5.188821801824496,
        5.188841350545567,
        5.188860899266637,
        5.188880447987708,
        5.18889999670878,
        5.18891954542985,
        5.188939094150921,
        5.188958642871992,
        5.188978191593063,
        5.188997740314134,
        5.189017289035204,
        5.196580736897335,
        5.205043425928727,
        5.2050663122363225,
        5.205156903870553,
        5.205179790178148,
        5.205202676485744,
        5.205225085995264,
        5.2052479723028595,
        5.205655634656898,
        5.205678520964494,
        5.205791522108244,
        5.205859704232955,
        5.205882113742476,
        5.205905000050071,
        5.205927409559591,
        5.205950295867186,
        5.205972705376706,
        5.206018001193822,
        5.206040887501417,
        5.206063297010937,
        5.206086183318533,
        5.206108592828053,
        5.206131002337573,
        5.206153888645169,
        5.206176298154689,
        5.2061991844622835,
        5.2062215939718035,
        5.206244480279399,
        5.206266889788919,
        5.206334595115555,
        5.20635748142315,
        5.206379890932671,
        5.206402300442191,
        5.206425186749786,
        5.206447596259307,
        5.2064704825669015,
        5.2064928920764215,
        5.2065153015859424,
        5.206538187893537,
        5.206560597403057,
        5.206583006912577,
        5.206605893220173,
        5.206628302729693,
        5.206651189037288,
        5.206673598546809,
        5.206696008056329,
        5.206718894363924,
        5.206741303873445,
        5.206763713382965,
        5.20678659969056,
        5.2068090092000805,
        5.2068314187096005,
        5.206854305017195,
        5.206876714526715,
        5.206899124036236,
        5.206922010343831,
        5.206944419853351,
        5.206966829362872,
        5.206989238872392,
        5.207012125179987,
        5.207034534689508,
        5.207056944199028,
        5.207079830506623,
        5.2122097009944675,
        5.218422856708482,
        5.218487701246669,
        5.218574478496301,
        5.218726100284119,
        5.218748032995564,
        5.21881287753375,
        5.218834333447121,
        5.218856266158566,
        5.2188777220719365,
        5.218899177985307,
        5.218921110696753,
        5.218985955234939,
        5.21900741114831,
        5.21902886706168,
        5.219072255686496,
        5.219094188397941,
        5.219159032936127,
        5.2191804888494975,
        5.2192453333876845,
        5.219266789301055,
        5.219288245214425,
        5.219310177925871,
        5.219331633839241,
        5.2193530897526115,
        5.219375022464057,
        5.219396478377427,
        5.219417934290798,
        5.219439867002243,
        5.219482778828985,
        5.219504234742355,
        5.2195261674538,
        5.219547623367171,
        5.219569079280541,
        5.219591011991986,
        5.219612467905357,
        5.219633923818727,
        5.219655379732098,
        5.219677312443543,
        5.219698768356913,
        5.219720224270284,
        5.219806524721841,
        5.219827980635212,
        5.220194161556734,
        5.22021609426818,
        5.22023755018155,
        5.2202590060949206,
        5.220280462008291,
        5.220301917921661,
        5.220323373835032,
        5.220344829748402,
        5.2203667624598475,
        5.220388218373218,
        5.220409674286589,
        5.22043113019996,
        5.22045258611333,
        5.220474042026701,
        5.220495497940071,
        5.2205169538534415,
        5.220538409766812,
        5.220560342478257,
        5.220581798391628,
        5.220603254304998,
        5.2206247102183685,
        5.220646166131739,
        5.220667622045109,
        5.22068907795848,
        5.22071053387185,
        5.220731989785221,
        5.220818290236778,
        5.220839746150149,
        5.220861202063519,
        5.220882657976889,
        5.22090411389026,
        5.221054305283853,
        5.221075761197223,
        5.221097217110594,
        5.221118673023964,
        5.221140128937335,
        5.221161584850705,
        5.221183040764076,
        5.221204496677446,
        5.2212259525908165,
        5.221247408504187,
        5.221268864417558,
        5.221290320330929,
        5.221311776244299,
        5.2213332321576695,
        5.22135468807104,
        5.22137614398441,
        5.221397599897781,
        5.221419055811151,
        5.221440511724522,
        5.221461967637892,
        5.221482946753188,
        5.221504402666558,
        5.221525858579929,
        5.221547314493299,
        5.22156877040667,
        5.22159022632004,
        5.22161168223341,
        5.221633138146781,
        5.221654594060151,
        5.221676049973522,
        5.221697505886892,
        5.221718961800263,
        5.221740417713633,
        5.221761396828929,
        5.221782852742299,
        5.22180430865567,
        5.22182576456904,
        5.221847220482411,
        5.221868676395782,
        5.221890132309152,
        5.221911588222523,
        5.221932567337818,
        5.221954023251189,
        5.221975479164559,
        5.22199693507793,
        5.2220183909913,
        5.2220398469046705,
        5.222061302818041,
        5.222082281933337,
        5.222103737846707,
        5.222125193760077,
        5.222146649673448,
        5.222168105586818,
        5.222189561500189,
        5.222210540615484,
        5.222231996528855,
        5.222253452442225,
        5.222274908355596,
        5.222296364268966,
        5.222317820182337,
        5.222338799297632,
        5.222360255211003,
        5.222381711124373,
        5.2224031670377435,
        5.222424146153039,
        5.22244560206641,
        5.22246705797978,
        5.222509969806521,
        5.222808445401409,
        5.222829901314779,
        5.222850880430075,
        5.222872336343445,
        5.222893792256816,
        5.222915248170186,
        5.222936227285482,
        5.222957683198852,
        5.222979139112223,
        5.223000118227518,
        5.223021574140889,
        5.223043030054259,
        5.223064009169555,
        5.223085465082925,
        5.223106920996296,
        5.223127900111591,
        5.223149356024962,
        5.223170811938332,
        5.223191791053628,
        5.223213246966998,
        5.223234702880369,
        5.223255681995664,
        5.223277137909035,
        5.223298593822405,
        5.223319572937701,
        5.223341028851071,
        5.223362007966367,
        5.223383463879737,
        5.223404919793108,
        5.2234258989084035,
        5.223447354821774,
        5.2234683339370696,
        5.22348978985044,
        5.22351124576381,
        5.223532224879106,
        5.2235536807924765,
        5.223574659907772,
        5.223596115821143,
        5.223617571734513,
        5.223638550849809,
        5.223660006763179,
        5.223680985878475,
        5.223702441791845,
        5.223723420907141,
        5.223744876820511,
        5.223766332733882,
        5.223787311849177,
        5.223808767762548,
        5.223829746877843,
        5.223851202791214,
        5.2238721819065095,
        5.22389363781988,
        5.223914616935176,
        5.223936072848546,
        5.223957051963842,
        5.223978507877212,
        5.223999486992508,
        5.224020942905878,
        5.224529686451795,
        5.224551142365166,
        5.2245721214804615,
        5.224593100595757,
        5.2246145565091275,
        5.224635535624423,
        5.224656991537794,
        5.224677970653089,
        5.224698949768385,
        5.224720405681755,
        5.224741384797051,
        5.224762840710421,
        5.224783819825717,
        5.224804798941013,
        5.224826254854383,
        5.224847233969679,
        5.224868689883049,
        5.224889668998345,
        5.2249106481136405,
        5.224932104027011,
        5.2249530831423066,
        5.224974062257602,
        5.224995518170973,
        5.225016497286268,
        5.225037476401564,
        5.225058932314934,
        5.22507991143023,
        5.225100890545526,
        5.225122346458896,
        5.225143325574192,
        5.2251643046894864,
        5.225185760602858,
        5.2252067397181525,
        5.225227718833448,
        5.225249174746819,
        5.225270153862114,
        5.22529113297741,
        5.2253121120927055,
        5.225333568006076,
        5.225354547121372,
        5.225375526236667,
        5.225396982150038,
        5.225417961265333,
        5.225438940380629,
        5.225459919495925,
        5.225481375409295,
        5.225502354524591,
        5.225523333639886,
        5.225544312755182,
        5.225565768668552,
        5.225586747783848,
        5.225607726899144,
        5.225628706014439,
        5.22565016192781,
        5.225671141043105,
        5.225692120158401,
        5.225713099273697,
        5.225734078388991,
        5.225755534302362,
        5.2257765134176575,
        5.225797492532953,
        5.225818471648249,
        5.225839450763544,
        5.225860906676915,
        5.2258818857922105,
        5.225902864907506,
        5.225923844022802,
        5.225944823138097,
        5.225966279051468,
        5.2259872581667635,
        5.226008237282059,
        5.226029216397355,
        5.22605019551265,
        5.226071174627946,
        5.2260926305413165,
        5.226113609656612,
        5.226134588771908,
        5.226155567887203,
        5.226176547002498,
        5.226197526117794,
        5.226218505233089,
        5.22623996114646,
        5.2262609402617555,
        5.226281919377051,
        5.226302898492347,
        5.226323877607642,
        5.226344856722938,
        5.226365835838234,
        5.226386814953529,
        5.226407794068825,
        5.226429249982195,
        5.226450229097491,
        5.226471208212787,
        5.226492187328082,
        5.226513166443378,
        5.226534145558674,
        5.226555124673969,
        5.226576103789264,
        5.22659708290456,
        5.226618062019855,
        5.226639041135151,
        5.2266600202504465,
        5.226680999365742,
        5.226702455279113,
        5.226723434394408,
        5.226744413509704,
        5.2267653926249995,
        5.226786371740295,
        5.226807350855591,
        5.226828329970886,
        5.226849309086182,
        5.226870288201478,
        5.226891267316773,
        5.226912246432068,
        5.226933225547364,
        5.226954204662659,
        5.226975183777955,
        5.226996162893251,
        5.227017142008546,
        5.227038121123842,
        5.227059100239138,
        5.227080079354433,
        5.227101058469729,
        5.2271220375850245,
        5.22714301670032,
        5.227163995815616,
        5.227184974930911,
        5.227205954046207,
        5.227226933161502,
        5.227247912276797,
        5.227268414594018,
        5.227289393709314,
        5.2273103728246095,
        5.227331351939905,
        5.227352331055201,
        5.2273733101704964,
        5.227394289285792,
        5.227415268401088,
        5.227436247516383,
        5.227457226631679,
        5.227478205746975,
        5.227499184862269,
        5.227520163977565,
        5.227541143092861,
        5.2275616454100815,
        5.227582624525377,
        5.227603603640673,
        5.227624582755968,
        5.227645561871264,
        5.22766654098656,
        5.227687520101855,
        5.227708499217151,
        5.227729001534372,
        5.227749980649667,
        5.227770959764962,
        5.227791938880258,
        5.2278129179955535,
        5.227833897110849,
        5.227854876226145,
        5.227875378543366,
        5.227896357658661,
        5.227917336773957,
        5.2279383158892525,
        5.227959295004548,
        5.227980274119844,
        5.228000776437064,
        5.228397472435381,
        5.228418451550676,
        5.228439430665972,
        5.228460409781267,
        5.228480912098488,
        5.228501891213783,
        5.228522870329079,
        5.228543849444375,
        5.228564351761595,
        5.228585330876891,
        5.228606309992187,
        5.2286268123094075,
        5.228647791424703,
        5.228668770539998,
        5.2286897496552935,
        5.228710251972514,
        5.22873123108781,
        5.228752210203106,
        5.2287727125203265,
        5.228793691635622,
        5.228814670750918,
        5.228835173068139,
        5.228856152183434,
        5.228877131298729,
        5.22889763361595,
        5.2289186127312455,
        5.228939591846541,
        5.228960094163762,
        5.228981073279058,
        5.229002052394353,
        5.229022554711574,
        5.22904353382687,
        5.229064512942165,
        5.229085015259385,
        5.229105994374681,
        5.229126496691902,
        5.229147475807197,
        5.229168454922493,
        5.229188957239714,
        5.2292099363550095,
        5.229230915470305,
        5.229251417787525,
        5.229272396902821,
        5.229292899220042,
        5.229313878335337,
        5.229334857450633,
        5.229355359767854,
        5.229376338883149,
        5.22939684120037,
        5.229417820315666,
        5.229438322632886,
        5.229459301748181,
        5.229480280863477,
        5.229500783180698,
        5.2295217622959935,
        5.229542264613214,
        5.22956324372851,
        5.229583746045731,
        5.2296047251610265,
        5.229625227478246,
        5.229646206593542,
        5.229666708910763,
        5.2296876880260585,
        5.229708190343279,
        5.229729169458575,
        5.229750148573871,
        5.2297706508910915,
        5.229791630006387,
        5.229812132323607,
        5.229833111438903,
        5.229853613756124,
        5.229874592871419,
        5.22989509518864,
        5.229978058053672,
        5.229998560370893,
        5.230143983783737,
        5.230164486100958,
        5.230205967533474,
        5.230226469850695,
        5.230247448965991,
        5.230267951283212,
        5.2302889303985065,
        5.230309432715727,
        5.230329935032948,
        5.230350914148244,
        5.230371416465465,
        5.23039239558076,
        5.230412897897981,
        5.230433400215201,
        5.230454379330497,
        5.230474881647718,
        5.230495860763013,
        5.230516363080234,
        5.230536865397455,
        5.2305578445127505,
        5.2305783468299705,
        5.230598849147191,
        5.230619828262487,
        5.230640330579708,
        5.230661309695003,
        5.230681812012224,
        5.230702314329445,
        5.230723293444741,
        5.230743795761961,
        5.2307642980791815,
        5.230785277194477,
        5.230805779511698,
        5.230826281828919,
        5.2308472609442145,
        5.230867763261435,
        5.230888265578655,
        5.230909244693951,
        5.230929747011172,
        5.230950249328393,
        5.230991730760909,
        5.23101223307813,
        5.23103273539535,
        5.2310537145106455,
        5.231074216827866,
        5.231094719145087,
        5.231115221462308,
        5.231136200577604,
        5.231156702894824,
        5.231177205212044,
        5.231197707529265,
        5.231218686644561,
        5.231239188961782,
        5.231259691279003,
        5.231280193596223,
        5.23134217734596,
        5.231362679663181,
        5.231383658778476,
        5.231404161095697,
        5.231424663412917,
        5.231445165730138,
        5.231465668047359,
        5.231486647162654,
        5.231507149479875,
        5.231548154114317,
        5.231568656431537,
        5.2315896355468325,
        5.231610137864053,
        5.231651142498495,
        5.231671644815716,
        5.231692623931011,
        5.2317131262482315,
        5.231733628565452,
        5.231774633199894,
        5.231795135517115,
        5.231815637834335
    ],
    "flux": [
        1.53536,
        1.59712,
        1.49267,
        1.62166,
        1.64569,
        1.59897,
        1.67311,
        1.60148,
        1.50186,
        1.54903,
        1.44888,
        1.39596,
        1.50398,
        1.47517,
        1.46593,
        1.48105,
        1.47313,
        1.58469,
        1.56471,
        1.53395,
        1.44995,
        1.47436,
        1.54951,
        1.54993,
        1.54628,
        1.49415,
        1.39069,
        1.39585,
        1.48699,
        1.68266,
        1.68168,
        1.69022,
        1.75868,
        1.33395,
        1.4804,
        1.50463,
        1.60941,
        1.61715,
        1.67232,
        1.59311,
        1.40563,
        1.51752,
        1.45048,
        1.22515,
        1.39732,
        1.22067,
        1.31196,
        1.60273,
        1.39352,
        1.44371,
        1.22805,
        1.28194,
        1.1961,
        1.28197,
        1.34892,
        1.36129,
        1.34934,
        1.28685,
        1.25203,
        1.30114,
        1.32053,
        1.35458,
        1.48866,
        1.49814,
        1.45724,
        1.39399,
        1.42405,
        1.51768,
        1.48591,
        1.45464,
        1.36681,
        1.36658,
        1.52918,
        1.56956,
        1.30868,
        1.35652,
        1.31311,
        1.35499,
        1.48816,
        1.59439,
        1.52506,
        1.4201,
        1.43723,
        1.44875,
        1.44481,
        1.37577,
        1.42636,
        1.61277,
        1.55105,
        1.56053,
        1.70016,
        1.75015,
        1.64594,
        1.58373,
        1.63896,
        1.57123,
        1.71667,
        1.67493,
        1.57256,
        1.45385,
        1.50888,
        1.68031,
        1.68522,
        1.65786,
        1.66128,
        1.85574,
        2.05343,
        1.65387,
        1.77475,
        1.63521,
        1.56577,
        1.65849,
        1.43843,
        1.43514,
        1.73803,
        1.76986,
        1.62052,
        1.5542,
        1.61217,
        1.58403,
        1.44194,
        1.55694,
        1.73987,
        1.48247,
        1.40204,
        1.50339,
        1.51247,
        1.42213,
        1.4903,
        1.58529,
        1.54122,
        1.57306,
        1.58214,
        1.55493,
        1.54064,
        1.46435,
        1.42117,
        1.4244,
        1.4362,
        1.4867,
        1.51849,
        1.51949,
        1.53373,
        1.48314,
        1.4268,
        1.41435,
        1.39621,
        1.37103,
        1.41433,
        1.46836,
        1.42935,
        1.51115,
        1.46885,
        1.40629,
        1.47584,
        1.41981,
        1.4373,
        1.56173,
        1.47565,
        1.47975,
        1.52246,
        1.58943,
        1.44892,
        1.53038,
        1.61391,
        1.64847,
        1.56085,
        1.5087,
        1.58481,
        1.60688,
        1.58627,
        1.53685,
        1.54557,
        1.59182,
        1.61741,
        1.62195,
        1.60419,
        1.70526,
        1.68178,
        1.6872,
        1.74481,
        1.71226,
        1.60052,
        1.57759,
        1.62146,
        1.61513,
        1.64703,
        1.52756,
        1.59764,
        1.65658,
        1.58714,
        1.54225,
        1.57344,
        1.59091,
        1.56606,
        1.54873,
        1.49666,
        1.47549,
        1.59395,
        1.59505,
        1.47465,
        1.42883,
        1.49371,
        1.45578,
        1.41185,
        1.40309,
        1.57393,
        1.54069,
        1.41138,
        1.47005,
        1.44952,
        1.36313,
        1.39995,
        1.34948,
        1.41542,
        1.41871,
        1.39583,
        1.3153,
        1.30029,
        1.43069,
        1.29978,
        1.30624,
        1.35409,
        1.38709,
        1.24102,
        1.27382,
        1.40007,
        1.491,
        1.35773,
        1.35901,
        1.31492,
        1.3012,
        1.41426,
        1.42679,
        1.4357,
        1.40862,
        1.48314,
        1.42605,
        1.4024,
        1.45729,
        1.45104,
        1.43968,
        1.42113,
        1.43283,
        1.43077,
        1.48791,
        1.48809,
        1.46484,
        1.45427,
        1.36139,
        1.33822,
        1.30773,
        1.38889,
        1.42539,
        1.41611,
        1.41306,
        1.44084,
        1.40228,
        1.43585,
        1.37064,
        1.40822,
        1.37309,
        1.44658,
        1.4575,
        1.43835,
        1.41912,
        1.38058,
        1.37542,
        1.40254,
        1.45802,
        1.41247,
        1.39688,
        1.47183,
        1.48393,
        1.37968,
        1.34628,
        1.35084,
        1.34299,
        1.44018,
        1.4971,
        1.41159,
        1.40866,
        1.48586,
        1.77115,
        2.03528,
        1.87102,
        1.76701,
        1.74638,
        1.78847,
        1.7364,
        1.88521,
        1.93133,
        1.80622,
        1.8824,
        1.88596,
        1.91224,
        1.89692,
        1.80313,
        1.86366,
        1.89457,
        1.89862,
        1.97707,
        1.91395,
        1.82553,
        1.80899,
        1.81033,
        1.86098,
        1.87609,
        1.87804,
        1.85719,
        1.87314,
        1.8798,
        1.90397,
        1.90095,
        1.895,
        1.93097,
        1.87252,
        1.83954,
        1.77268,
        1.75395,
        1.74679,
        1.79448,
        1.86223,
        1.76557,
        1.72977,
        1.7838,
        1.84432,
        1.83195,
        1.79708,
        1.74929,
        1.71034,
        1.73249,
        1.78666,
        1.71469,
        1.65371,
        1.66569,
        1.64059,
        1.68478,
        1.64604,
        1.7171,
        1.7506,
        1.73615,
        1.78418,
        1.76483,
        1.73784,
        1.53862,
        1.50275,
        1.52264,
        1.52966,
        1.46294,
        1.57502,
        1.67755,
        1.5996,
        1.58576,
        1.54098,
        1.5626,
        1.51553,
        1.5616,
        1.62404,
        1.59043,
        1.61236,
        1.58157,
        1.5106,
        1.56477,
        1.57404,
        1.62104,
        1.57211,
        1.56469,
        1.52288,
        1.52214,
        1.55997,
        1.56312,
        1.56365,
        1.51133,
        1.46057,
        1.50975,
        1.48585,
        1.44221,
        1.51345,
        1.47928,
        1.50733,
        1.46945,
        1.54279,
        1.5575,
        1.50556,
        1.43807,
        1.45074,
        1.44978,
        1.44169,
        1.48296,
        1.49828,
        1.4986,
        1.41554,
        1.36317,
        1.39566,
        1.42762,
        1.42207,
        1.44912,
        1.30543,
        1.35203,
        1.45323,
        1.40845,
        1.31877,
        1.40003,
        1.26616,
        1.28893,
        1.4149,
        1.32963,
        1.35674,
        1.4905,
        1.36078,
        1.26507,
        1.3416,
        1.34992,
        1.34429,
        1.33886,
        1.38336,
        1.42328,
        1.40465,
        1.34755,
        1.35475,
        1.3713,
        1.38445,
        1.39053,
        1.45442,
        1.4408,
        1.37929,
        1.425,
        1.37181,
        1.3793,
        1.3814,
        1.44746,
        1.3818,
        1.36708,
        1.39691,
        1.39277,
        1.38392,
        1.37876,
        1.38437,
        1.38483,
        1.39127,
        1.42297,
        1.36742,
        1.47267,
        1.44439,
        1.34358,
        1.35717,
        1.35923,
        1.26245,
        1.38643,
        1.42187,
        1.43113,
        1.4055,
        1.41407,
        1.41823,
        1.40011,
        1.36578,
        1.27604,
        1.28198,
        1.29069,
        1.426,
        1.44734,
        1.307,
        1.34477,
        1.37292,
        1.44092,
        1.41231,
        1.35995,
        1.38753,
        1.43181,
        1.35289,
        1.37511,
        1.43295,
        1.43342,
        1.60811,
        1.22196,
        1.15634,
        1.28899,
        1.53306,
        1.56391,
        1.47008,
        1.35294,
        1.45442,
        1.48819,
        1.48311,
        1.56395,
        1.55138,
        1.59764,
        1.67183,
        1.67805,
        1.51367,
        1.51601,
        1.52031,
        1.4329,
        1.55668,
        1.61178,
        1.51598,
        1.51719,
        1.72604,
        1.64513,
        1.68221,
        1.80468,
        1.77196,
        1.69588,
        1.81364,
        1.79968,
        1.81694,
        1.80642,
        1.91588,
        1.99946,
        2.01208,
        1.95867,
        1.96423,
        1.89625,
        1.97671,
        2.03274,
        1.93217,
        1.96809,
        2.03892,
        1.95474,
        1.99246,
        2.04592,
        2.06054,
        2.02658,
        2.10012,
        1.92308,
        1.98546,
        2.05039,
        2.00525,
        1.97595,
        2.03971,
        2.11776,
        2.14648,
        2.12717,
        2.14401,
        2.08856,
        2.03535,
        2.01031,
        1.99654,
        2.0477,
        2.06061,
        2.06183,
        1.9236,
        1.81794,
        1.88607,
        1.89576,
        1.98758,
        2.14477,
        2.14992,
        1.98102,
        1.98714,
        1.72474,
        1.45105,
        1.62653,
        1.73344,
        1.67363,
        1.61508,
        1.64425,
        1.59241,
        1.55294,
        1.59811,
        1.57371,
        1.58749,
        1.47423,
        1.59515,
        1.57107,
        1.58376,
        1.53687,
        1.48428,
        1.48636,
        1.52231,
        1.5937,
        1.50226,
        1.53215,
        1.51924,
        1.50363,
        1.44336,
        1.475,
        1.45979,
        1.52788,
        1.2248,
        1.63637,
        1.61421,
        1.50319,
        1.4603,
        1.47128,
        1.41717,
        1.34643,
        1.48505,
        1.52964,
        1.48308,
        1.4537,
        1.405,
        1.44606,
        1.52196,
        1.49826,
        1.47403,
        1.45563,
        1.36567,
        1.44348,
        1.48599,
        1.47525,
        1.41898,
        1.40024,
        1.42961,
        1.44629,
        1.32199,
        1.35282,
        1.40933,
        1.47411,
        1.45517,
        1.41822,
        1.2307,
        1.23608,
        1.29266,
        1.19792,
        1.20671,
        1.49666,
        1.92002,
        1.73879,
        1.58859,
        1.5335,
        1.31843,
        1.30785,
        1.42942,
        1.51752,
        1.37372,
        1.33392,
        1.2808,
        1.2957,
        1.29381,
        1.36384,
        1.31506,
        1.34186,
        1.27207,
        1.31549,
        1.18265,
        1.29808,
        1.41397,
        1.47744,
        1.39213,
        1.35321,
        1.43408,
        1.37898,
        1.41386,
        1.37347,
        1.39867,
        1.38229,
        1.28051,
        1.35265,
        1.41528,
        1.39902,
        1.38586,
        1.42927,
        1.39637,
        1.39619,
        1.4801,
        1.41203,
        1.43035,
        1.39143,
        1.40864,
        1.37366,
        1.38591,
        1.3316,
        1.37169,
        1.33928,
        1.28876,
        1.38392,
        1.38217,
        1.38293,
        1.2987,
        1.31619,
        1.38455,
        1.42311,
        1.43856,
        1.37852,
        1.38262,
        1.37873,
        1.31079,
        1.41911,
        1.32828,
        1.37394,
        1.40792,
        1.42678,
        1.44494,
        1.4326,
        1.33158,
        1.39673,
        1.35737,
        1.27343,
        1.31124,
        1.56454,
        1.44385,
        1.46342,
        1.40751,
        1.34099,
        1.36394,
        1.35413,
        1.37755,
        1.39658,
        1.427,
        1.44676,
        1.39582,
        1.38608,
        1.41455,
        1.42012,
        1.45708,
        1.45454,
        1.49619,
        1.48264,
        1.46919,
        1.47217,
        1.41555,
        1.4467,
        1.40398,
        1.52326,
        1.50174,
        1.5096,
        1.5791,
        1.54957,
        1.54958,
        1.47822,
        1.49547,
        1.52307,
        1.61963,
        1.61975,
        1.38177,
        1.50932,
        1.37952,
        1.62059,
        1.55822,
        1.58997,
        1.63083,
        1.66945,
        1.611,
        1.6422,
        1.68272,
        1.65171,
        1.76847,
        1.77476,
        1.78072,
        1.78365,
        1.84022,
        1.86665,
        1.84337,
        1.80001,
        1.81781,
        1.9068,
        1.73984,
        1.90324,
        1.89999,
        1.92868,
        1.78628,
        1.81837,
        1.90045,
        1.75998,
        1.89224,
        1.88791,
        1.96255,
        2.03926,
        1.88126,
        1.78067,
        1.54387,
        1.58696,
        1.66094,
        1.50609,
        1.51835,
        1.32949,
        1.43827,
        1.43589,
        1.46829,
        1.53266,
        1.51477,
        1.55742,
        1.71004,
        1.65827,
        1.58699,
        1.53221,
        1.49332,
        1.43275,
        1.39462,
        1.44381,
        1.4429,
        1.47753,
        1.51474,
        1.43302,
        1.46433,
        1.41236,
        1.41626,
        1.472,
        1.45186,
        1.37572,
        1.35168,
        1.40597,
        1.41119,
        1.41741,
        1.43196,
        1.42046,
        1.47045,
        1.39119,
        1.35674,
        1.41127,
        1.41106,
        1.39423,
        1.40769,
        1.40191,
        1.31265,
        1.34706,
        1.46162,
        1.31888,
        1.35327,
        1.40826,
        1.36196,
        1.39101,
        1.40908,
        1.4415,
        1.36999,
        1.35051,
        1.39941,
        1.41551,
        1.56358,
        1.44486,
        1.40745,
        1.38566,
        1.38511,
        1.47681,
        1.35888,
        1.31666,
        1.38821,
        1.45153,
        1.37498,
        1.48232,
        1.38308,
        1.34985,
        1.38325,
        1.42294,
        1.46029,
        1.41201,
        1.34632,
        1.47234,
        1.44739,
        1.20945,
        1.31604,
        1.46531,
        1.30697,
        1.57131,
        1.51539,
        1.33854,
        1.44975,
        1.51515,
        1.36207,
        1.37828,
        1.37135,
        1.4237,
        1.3382,
        1.44299,
        1.5651,
        1.48555,
        1.35726,
        1.39494,
        1.39775,
        1.43545,
        1.41476,
        1.42587,
        1.40636,
        1.42377,
        1.47092,
        1.43641,
        1.38925,
        1.47531,
        1.49682,
        1.48219,
        1.47538,
        1.51602,
        1.47107,
        1.49357,
        1.41369,
        1.48081,
        1.45798,
        1.46366,
        1.4312,
        1.43523,
        1.44398,
        1.47202,
        1.44624,
        1.40418,
        1.43714,
        1.42965,
        1.49098,
        1.46713,
        1.40405,
        1.3748,
        1.41547,
        1.42422,
        1.47966,
        1.43806,
        1.47877,
        1.53432,
        1.50649,
        1.44655,
        1.43055,
        1.42478,
        1.43277,
        1.41712,
        1.38112,
        1.48745,
        1.45426,
        1.38899,
        1.42147,
        1.31959,
        1.43022,
        1.33063,
        1.33523,
        1.38375,
        1.37215,
        1.439,
        1.38362,
        1.41763,
        1.38901,
        1.45392,
        1.37583,
        1.53661,
        1.51957,
        1.62769,
        1.41192,
        1.51744,
        1.42588,
        1.41023,
        1.50919,
        1.49361,
        1.36783,
        1.45419,
        1.50872,
        1.40592,
        1.31884,
        1.28476,
        1.38225,
        1.43475,
        1.48784,
        1.56291,
        1.47074,
        1.45533,
        1.47935,
        1.43769,
        1.47671,
        1.50863,
        1.49731,
        1.41789,
        1.50895,
        1.56661,
        1.64042,
        1.59376,
        1.60405,
        1.65888,
        1.66751,
        1.64425,
        1.70549,
        1.91764,
        1.78387,
        1.70045,
        1.75035,
        1.78565,
        1.57339,
        1.54074,
        1.6007,
        1.51045,
        1.58006,
        1.56512,
        1.6688,
        1.62294,
        1.59482,
        1.64672,
        1.69613,
        1.68922,
        1.67196,
        1.68842,
        1.70399,
        1.69827,
        1.69393,
        1.66031,
        1.61746,
        1.63455,
        1.74479,
        1.71366,
        1.78706,
        1.77695,
        1.65142,
        1.63313,
        1.77163,
        1.72725,
        1.73567,
        1.70027,
        1.72538,
        1.85317,
        1.87918,
        1.72552,
        2.09815,
        2.11372,
        1.78366,
        1.99143,
        2.1348,
        1.97737,
        1.93403,
        1.98767,
        1.93946,
        1.8482,
        1.79072,
        1.95239,
        1.82761,
        1.80187,
        1.84636,
        1.89701,
        1.82016,
        1.90948,
        1.9153,
        1.89206,
        1.89632,
        1.83414,
        1.80387,
        1.7961,
        1.83042,
        1.81946,
        1.82253,
        1.85147,
        1.81443,
        1.78973,
        1.76029,
        1.7475,
        1.73945,
        1.7434,
        1.72654,
        1.72864,
        1.69244,
        1.70349,
        1.6133,
        1.67698,
        1.63081,
        1.61081,
        1.58896,
        1.62924,
        1.64543,
        1.71429,
        1.67382,
        1.63625,
        1.61496,
        1.55756,
        1.64609,
        1.54035,
        1.51169,
        1.53145,
        1.5065,
        1.44742,
        1.46966,
        1.56847,
        1.48447,
        1.41994,
        1.37466,
        1.29811,
        1.38905,
        1.49487,
        1.36539,
        1.3547,
        1.33652,
        1.27952,
        1.43119,
        1.58183,
        1.19542,
        1.55235,
        1.30022,
        1.44349,
        1.41246,
        1.25885,
        1.65361,
        1.43738,
        1.51714,
        1.37682,
        1.45107,
        1.25909,
        1.43624,
        1.69243,
        1.43734,
        1.23023,
        1.48163,
        1.30064,
        1.15238,
        1.23131,
        1.37287,
        1.38018,
        1.47038,
        1.35881,
        1.39152,
        1.28609,
        1.35351,
        1.35289,
        1.3685,
        1.45222,
        1.42688,
        1.39257,
        1.3729,
        1.40822,
        1.38925,
        1.35944,
        1.37098,
        1.4282,
        1.41203,
        1.40232,
        1.36957,
        1.40349,
        1.44112,
        1.43207,
        1.3833,
        1.40205,
        1.34866,
        1.45876,
        1.41267,
        1.40152,
        1.40272,
        1.36185,
        1.35544,
        1.40319,
        1.36276,
        1.35213,
        1.43614,
        1.54148,
        1.44924,
        1.39408,
        1.40339,
        1.48501,
        1.36386,
        1.30283,
        1.42211,
        1.33235,
        1.32977,
        1.54712,
        1.23186,
        1.3665,
        1.38358,
        1.46485,
        1.5781,
        1.37169,
        1.42108,
        1.41731,
        1.48533,
        1.34415,
        1.46109,
        1.51066,
        1.51492,
        1.44277,
        1.43153,
        1.39931,
        1.47179,
        1.3034,
        1.38974,
        1.51819,
        1.49866,
        1.33621,
        1.3709,
        1.40129,
        1.4724,
        1.44358,
        1.54098,
        1.48705,
        1.21719,
        1.68639,
        1.41213,
        1.68126,
        1.25097,
        1.32629,
        1.33405,
        1.41189,
        1.53302,
        1.48198,
        1.36299,
        1.40189,
        1.50574,
        1.39114,
        1.43032,
        1.46454,
        1.46677,
        1.53983,
        1.37192,
        1.47888,
        1.4491,
        1.51977,
        1.61644,
        1.4608,
        1.49592,
        1.46435,
        1.44987,
        1.48578,
        1.47709,
        1.51211,
        1.48595,
        1.6054,
        1.50203,
        1.47902,
        1.51138,
        1.54623,
        1.55945,
        1.46143,
        1.56969,
        1.61409,
        1.63429,
        1.54226,
        1.55535,
        1.47971,
        1.4858,
        1.50193,
        1.47516,
        1.4129,
        1.36629,
        1.89338,
        1.83452,
        1.60367,
        1.69396,
        1.47699,
        1.62552,
        1.64764,
        1.66589,
        1.63081,
        1.63904,
        1.54777,
        1.61146,
        1.62548,
        1.67965,
        1.50794,
        1.50663,
        1.57911,
        1.70031,
        1.63145,
        1.59365,
        1.68271,
        1.71284,
        1.54467,
        1.59637,
        1.73573,
        1.70013,
        1.65435,
        1.6387,
        1.62213,
        1.59657,
        1.68096,
        1.61119,
        1.59155,
        1.71229,
        1.63381,
        1.56304,
        1.59894,
        1.65409,
        1.69748,
        1.58964,
        1.54414,
        1.55031,
        1.91825,
        1.94845,
        2.08199,
        1.96179,
        1.95708,
        1.89291,
        1.94745,
        2.06671,
        1.97157,
        1.85477,
        1.85075,
        1.82686,
        1.83656,
        1.85748,
        1.85061,
        1.77725,
        2.02047,
        2.00724,
        1.96016,
        1.97016,
        1.89471,
        1.90122,
        2.01751,
        1.97686,
        2.0961,
        2.03036,
        1.95853,
        1.91429,
        1.89527,
        1.88446,
        1.90685,
        1.75569,
        1.76779,
        1.7866,
        1.86751,
        1.77895,
        1.8557,
        2.35077,
        1.82462,
        1.88011,
        1.84693,
        1.82615,
        1.90989,
        1.811,
        1.76692,
        1.83746,
        1.82735,
        1.75686,
        1.76018,
        1.7978,
        1.749,
        1.74743,
        1.69616,
        1.66904,
        1.71971,
        1.67694,
        1.67142,
        1.64343,
        1.65569,
        1.64371,
        1.60588,
        1.60599,
        1.56829,
        1.63819,
        1.58762,
        1.61049,
        1.68926,
        1.60979,
        1.59068,
        1.61173,
        1.54396,
        1.44008,
        1.5896,
        1.59263,
        1.54724,
        1.52809,
        1.4593,
        1.50947,
        1.42775,
        1.44431,
        1.48927,
        1.51956,
        1.42128,
        1.56223,
        null,
        1.39973,
        1.38794,
        1.55378,
        1.41889,
        1.20726,
        1.45642,
        1.51324,
        1.41812,
        1.52103,
        1.42574,
        1.3726,
        1.50434,
        1.54666,
        1.45882,
        1.84314,
        1.6358,
        1.41309,
        1.38909,
        1.43059,
        1.4701,
        1.45623,
        1.51196,
        1.51335,
        1.46223,
        1.46166,
        1.48946,
        1.5023,
        1.51646,
        1.4883,
        1.50358,
        1.46712,
        1.46052,
        1.50566,
        1.5086,
        1.49757,
        1.46886,
        1.50366,
        1.55094,
        1.48402,
        1.51887,
        1.56906,
        1.52731,
        1.50177,
        1.56838,
        1.55258,
        1.54071,
        1.58579,
        1.56898,
        1.54657,
        1.56402,
        1.54862,
        1.55048,
        1.54762,
        1.53894,
        1.53226,
        1.50412,
        1.48227,
        1.50837,
        1.50638,
        1.47545,
        1.4869,
        1.44372,
        1.45472,
        1.49844,
        1.48732,
        1.4513,
        1.43852,
        1.432,
        1.41701,
        1.41715,
        1.38464,
        1.41022,
        1.44651,
        1.48703,
        1.44124,
        1.31371,
        1.3372,
        1.3628,
        1.31573,
        1.35425,
        1.37925,
        1.3482,
        1.31276,
        1.43839,
        1.56664,
        1.68289,
        1.73426,
        1.60227,
        1.68527,
        1.69517,
        1.68678,
        1.74758,
        1.77534,
        1.76188,
        1.78697,
        1.81837,
        1.82858,
        1.82267,
        1.80474,
        1.80537,
        1.83432,
        1.84757,
        1.87144,
        1.83333,
        1.82988,
        1.85283,
        1.91446,
        1.89969,
        1.88396,
        1.89836,
        1.89787,
        1.88898,
        1.87525,
        1.88589,
        1.88462,
        1.84048,
        1.85888,
        1.83555,
        1.83502,
        1.83792,
        1.84859,
        1.79024,
        1.79103,
        1.83243,
        1.82126,
        1.81154,
        1.81604,
        1.82701,
        1.82819,
        1.84136,
        1.83324,
        1.78655,
        1.76212,
        1.71981,
        1.69,
        1.68474,
        1.70707,
        1.71014,
        1.70447,
        1.68473,
        1.63836,
        1.63904,
        1.64976,
        1.61795,
        1.60893,
        1.59477,
        1.57121,
        1.55337,
        1.53691,
        1.57212,
        1.56996,
        1.55007,
        1.55105,
        1.48113,
        1.44644,
        1.4821,
        1.50153,
        1.50126,
        1.46946,
        1.41173,
        1.44908,
        1.48461,
        1.43431,
        1.49679,
        1.54217,
        1.279,
        1.20855,
        1.07391,
        1.29175,
        1.41588,
        1.27328,
        1.37124,
        1.37667,
        1.35039,
        1.30272,
        1.31229,
        1.3108,
        1.28428,
        1.30284,
        1.27874,
        1.28446,
        1.33672,
        1.35733,
        1.3791,
        1.37366,
        1.33635,
        1.311,
        1.28768,
        1.2946,
        1.29009,
        1.3036,
        1.3051,
        1.37437,
        1.35422,
        1.32823,
        1.33466,
        1.32988,
        1.34993,
        1.38421,
        1.36706,
        1.38235,
        1.38957,
        1.38588,
        1.35921,
        1.33294,
        1.34346,
        1.39241,
        1.40931,
        1.40131,
        1.40937,
        1.40861,
        1.40633,
        1.40052,
        1.35725,
        1.36922,
        1.38986,
        1.41584,
        1.39436,
        1.42969,
        1.39682,
        1.39596,
        1.40528,
        1.36029,
        1.37171,
        1.39751,
        1.38099,
        1.36837,
        1.37995,
        1.38857,
        1.38038,
        1.37587,
        1.39439,
        1.38948,
        1.40463,
        1.39708,
        1.38401,
        1.3811,
        1.4033,
        1.40477,
        1.40186,
        1.45476,
        1.42301,
        1.37448,
        1.36919,
        1.4274,
        1.38742,
        1.37214,
        1.457,
        1.50185,
        1.48026,
        1.45436,
        1.42914,
        1.27804,
        1.29258,
        1.33122,
        1.43344,
        1.5162,
        1.53721,
        1.50274,
        1.54314,
        1.54157,
        1.55024,
        1.54019,
        1.48624,
        1.46576,
        1.491,
        1.53404,
        1.55458,
        1.55839,
        1.49267,
        1.49606,
        1.49191,
        1.48023,
        1.45667,
        1.4797,
        1.51258,
        1.51396,
        1.49835,
        1.52227,
        1.49491,
        1.44265,
        1.47934,
        1.52074,
        1.538,
        1.55726,
        1.52639,
        1.51166,
        1.52988,
        1.55562,
        1.52877,
        1.52939,
        1.51273,
        1.53452,
        1.53596,
        1.52165,
        1.54753,
        1.52294,
        1.48836,
        1.48627,
        1.4621,
        1.46329,
        1.47701,
        1.43593,
        1.4639,
        1.49386,
        1.45942,
        1.45309,
        1.4414,
        1.44743,
        1.45166,
        1.44407,
        1.42359,
        1.40413,
        1.42293,
        1.44229,
        1.42363,
        1.43622,
        1.41521,
        1.39179,
        1.39919,
        1.38563,
        1.36389,
        1.36995,
        1.4022,
        1.39498,
        1.39451,
        1.34819,
        1.32606,
        1.36487,
        1.36774,
        1.36726,
        1.38987,
        1.40376,
        1.40455,
        1.39715,
        1.33457,
        1.31566,
        1.32973,
        1.35289,
        1.42294,
        1.36436,
        1.32632,
        1.31714,
        1.26227,
        1.43522,
        1.41664,
        1.26428,
        1.3651,
        1.26605,
        1.37321,
        1.37503,
        1.35338,
        1.35262,
        1.42944,
        1.39416,
        1.34978,
        1.35499,
        1.41216,
        1.46822,
        1.39656,
        1.44538,
        1.54435,
        1.5454,
        1.54862,
        1.58207,
        1.48948,
        1.48061,
        1.48571,
        1.67605,
        1.6799,
        1.37228,
        1.66734,
        1.74345,
        1.67577,
        1.76389,
        1.7193,
        1.71682,
        1.74191,
        1.7923,
        1.83908,
        1.84143,
        1.84035,
        1.86394,
        1.87712,
        1.85477,
        1.84839,
        1.87765,
        1.87561,
        1.84545,
        1.83795,
        1.84043,
        1.88888,
        1.84467,
        1.86675,
        1.90388,
        1.90592,
        1.87859,
        1.84252,
        1.86148,
        1.85587,
        1.87954,
        1.87823,
        1.82303,
        1.85379,
        1.85396,
        1.82056,
        1.84726,
        1.84267,
        1.8179,
        1.78419,
        1.80236,
        1.79334,
        1.80988,
        1.79208,
        1.77296,
        1.67786,
        1.74656,
        1.76962,
        1.63188,
        1.74632,
        1.67867,
        1.74933,
        1.65233,
        1.38028,
        1.51039,
        1.49785,
        1.57664,
        1.69003,
        1.90201,
        1.67668,
        1.67076,
        1.61479,
        1.53719,
        1.64953,
        1.59235,
        1.50071,
        1.622,
        1.6041,
        1.56853,
        1.55738,
        1.60293,
        1.50912,
        1.68798,
        1.56773,
        1.39165,
        1.41974,
        1.51669,
        1.44537,
        1.48186,
        1.42508,
        1.36124,
        1.38311,
        1.36347,
        1.32017,
        1.32736,
        1.33866,
        1.35924,
        1.36773,
        1.36251,
        1.34312,
        1.3687,
        1.37905,
        1.38311,
        1.37398,
        1.35541,
        1.3591,
        1.39352,
        1.36101,
        1.3642,
        1.38585,
        1.3694,
        1.3736,
        1.38585,
        1.3761,
        1.37066,
        1.39909,
        1.38133,
        1.37676,
        1.42177,
        1.40954,
        1.38831,
        1.42573,
        1.40641,
        1.40666,
        1.43971,
        1.44947,
        1.39826,
        1.4078,
        1.41088,
        1.41577,
        1.42021,
        1.45589,
        1.41214,
        1.37894,
        1.41297,
        1.42149,
        1.43208,
        1.43784,
        1.39934,
        1.40901,
        1.40312,
        1.43105,
        1.39802,
        1.40675,
        1.4027,
        1.36097,
        1.38301,
        1.39867,
        1.40398,
        1.42746,
        1.43967,
        1.36982,
        1.42159,
        1.42915,
        1.44278,
        1.26995,
        1.18222,
        1.32502,
        1.4441,
        1.38972,
        1.50094,
        1.41261,
        1.47047,
        1.51572,
        1.43654,
        1.41815,
        1.46362,
        1.4473,
        1.45377,
        1.42545,
        1.47363,
        1.51095,
        1.46492,
        1.43368,
        1.47327,
        1.51958,
        1.55182,
        1.48197,
        1.45179,
        1.48121,
        1.477,
        1.45366,
        1.49457,
        1.42112,
        1.46463,
        1.50494,
        1.42098,
        1.38823,
        1.47191,
        1.36056,
        1.4945,
        1.47132,
        1.57124,
        1.49534,
        1.49011,
        1.44978,
        1.48258,
        1.5027,
        1.48791,
        1.5316,
        1.53009,
        1.52176,
        1.54634,
        1.57588,
        1.56907,
        1.56346,
        1.51415,
        1.45683,
        1.51852,
        1.58799,
        1.57654,
        1.56147,
        1.56893,
        1.54035,
        1.54644,
        1.53568,
        1.51706,
        1.50274,
        1.51697,
        1.52697,
        1.52157,
        1.51793,
        1.46906,
        1.44442,
        1.46688,
        1.48736,
        1.4446,
        1.45164,
        1.4474,
        1.41098,
        1.42886,
        1.46163,
        1.46636,
        1.44009,
        1.42263,
        1.40507,
        1.42978,
        1.46376,
        1.45304,
        1.41404,
        1.41008,
        1.38917,
        1.36453,
        1.34759,
        1.38404,
        1.3958,
        1.37695,
        1.35102,
        1.34803,
        1.37724,
        1.32205,
        1.3106,
        1.28702,
        1.42145,
        1.32002,
        1.42103,
        1.53859,
        1.41347,
        1.34631,
        1.2746,
        1.30124,
        1.28561,
        1.34457,
        1.36016,
        1.37517,
        1.35535,
        1.34536,
        1.33995,
        1.3461,
        1.3449,
        1.32544,
        1.36983,
        1.38015,
        1.3785,
        1.38348,
        1.4106,
        1.39493,
        1.39815,
        1.39647,
        1.3676,
        1.39991,
        1.39406,
        1.37856,
        1.38795,
        1.41724,
        1.37791,
        1.39744,
        1.39866,
        1.34401,
        1.39618,
        1.38073,
        1.34786,
        1.30021,
        1.35605,
        1.32748,
        1.34947,
        1.35128,
        1.29902,
        1.31456,
        1.37298,
        1.39974,
        1.40553,
        1.43339,
        1.46676,
        1.47335,
        1.46485,
        1.45349,
        1.40443,
        1.37376,
        1.51312,
        1.53036,
        1.65026,
        1.43561,
        1.58994,
        1.65428,
        1.49918,
        1.49431,
        1.46629,
        1.44339,
        1.46608,
        1.4813,
        1.47647,
        1.49586,
        1.49542,
        1.51106,
        1.49927,
        1.52549,
        1.5607,
        1.50085,
        1.48567,
        1.56902,
        1.57605,
        1.52676,
        1.56548,
        1.5059,
        1.39624,
        1.28453,
        1.5254,
        1.52629,
        1.63155,
        1.71538,
        1.72113,
        1.56509,
        1.67606,
        1.65748,
        1.82792,
        1.70876,
        1.70792,
        1.80922,
        1.80582,
        1.77968,
        1.9401,
        2.00474,
        1.89007,
        1.92483,
        1.78172,
        1.84077,
        1.87689,
        1.88576,
        1.92576,
        1.96931,
        1.94783,
        1.91989,
        1.91503,
        1.91876,
        1.884,
        1.89258,
        1.87959,
        1.91198,
        1.92107,
        1.92325,
        1.90068,
        1.90305,
        1.8738,
        1.84258,
        1.81323,
        1.77797,
        1.79163,
        1.81806,
        1.77924,
        1.75929,
        1.76885,
        1.74805,
        1.76813,
        1.75452,
        1.80003,
        1.80185,
        1.75339,
        1.74428,
        1.78278,
        1.75358,
        1.72838,
        1.69615,
        1.62692,
        1.64935,
        1.62898,
        1.64281,
        1.48167,
        1.32114,
        1.5522,
        1.62582,
        1.56028,
        1.53735,
        1.33741,
        1.37625,
        1.48161,
        1.51381,
        1.48716,
        1.49015,
        1.42776,
        1.38222,
        1.40244,
        1.41864,
        1.42628,
        1.42462,
        1.41328,
        1.36464,
        1.37728,
        1.3753,
        1.3972,
        1.35517,
        1.38574,
        1.38278,
        1.32554,
        1.31374,
        1.33489,
        1.34128,
        1.34971,
        1.35288,
        1.34884,
        1.30567,
        1.32822,
        1.34153,
        1.31527,
        1.31806,
        1.3309,
        1.34261,
        1.37916,
        1.37104,
        1.34856,
        1.35801,
        1.35635,
        1.34101,
        1.37145,
        1.37415,
        1.36222,
        1.3631,
        1.4102,
        1.44452,
        1.42391,
        1.43142,
        1.44212,
        1.33735,
        1.40641,
        1.40586,
        1.21006,
        1.4614,
        1.42944,
        1.40452,
        1.43886,
        1.43163,
        1.43707,
        1.47043,
        1.44477,
        1.42934,
        1.47022,
        1.50113,
        1.49679,
        1.44637,
        1.48895,
        1.49939,
        1.52671,
        1.52225,
        1.54001,
        1.49528,
        1.53751,
        1.59024,
        1.5738,
        1.57468,
        1.57951,
        1.60921,
        1.63698,
        1.63671,
        1.57424,
        1.5759,
        1.6047,
        1.58481,
        1.53722,
        1.54108,
        1.55602,
        1.52693,
        1.53069,
        1.52956,
        1.53433,
        1.56206,
        1.52615,
        1.517,
        1.52601,
        1.50609,
        1.51372,
        1.54163,
        1.54985,
        1.59119,
        1.57337,
        1.56723,
        1.5349,
        1.51743,
        1.59354,
        1.55308,
        1.54918,
        1.52,
        1.55547,
        1.51325,
        1.53068,
        1.56388,
        1.59453,
        1.57409,
        1.60948,
        1.5257,
        1.38691,
        1.36423,
        1.50482,
        1.45008,
        1.42424,
        1.43122,
        1.5001,
        1.46209,
        1.44304,
        1.48823,
        1.47536,
        1.44005,
        1.41904,
        1.4065,
        1.40161,
        1.42104,
        1.4014,
        1.38595,
        1.41118,
        1.43411,
        1.40703,
        1.38833,
        1.39556,
        1.44403,
        1.42281,
        1.42157,
        1.40613,
        1.39417,
        1.38899,
        1.38752,
        1.41015,
        1.40191,
        1.33717,
        1.37095,
        1.34092,
        1.28878,
        1.27655,
        1.3008,
        1.33066,
        1.39327,
        1.35263,
        1.48612,
        1.33656,
        1.16311,
        1.12987,
        1.29283,
        1.42392,
        1.38647,
        1.30444,
        1.33304,
        1.33113,
        1.29831,
        1.31314,
        1.32729,
        1.32667,
        1.3161,
        1.34003,
        1.37462,
        1.35904,
        1.31517,
        1.33805,
        1.34084,
        1.3459,
        1.35419,
        1.33613,
        1.33041,
        1.3401,
        1.35475,
        1.34221,
        1.37207,
        1.36568,
        1.34198,
        1.31361,
        1.3498,
        1.36116,
        1.3484,
        1.35192,
        1.36369,
        1.35288,
        1.3978,
        1.32827,
        1.33984,
        1.36665,
        1.39972,
        1.3854,
        1.38886,
        1.33266,
        1.35786,
        1.3597,
        1.38029,
        1.3852,
        1.40139,
        1.40341,
        1.3727,
        1.3665,
        1.36228,
        1.37656,
        1.37389,
        1.34661,
        1.38784,
        1.36569,
        1.3762,
        1.38144,
        1.40398,
        1.41923,
        1.33162,
        1.33585,
        1.37501,
        1.35058,
        1.29862,
        1.35139,
        1.33478,
        1.25745,
        1.31043,
        1.30595,
        1.38562,
        1.41157,
        1.43561,
        1.50971,
        1.4592,
        1.39732,
        1.27179,
        1.31737,
        1.39379,
        1.35078,
        1.3534,
        1.32915,
        1.35848,
        1.35133,
        1.37698,
        1.40009,
        1.43427,
        1.40864,
        1.41405,
        1.39874,
        1.39938,
        1.41047,
        1.40559,
        1.38396,
        1.35968,
        1.41151,
        1.42198,
        1.47573,
        1.42365,
        1.46632,
        1.44502,
        1.38335,
        1.32367,
        1.40608,
        1.35905,
        1.34398,
        1.3714,
        1.34749,
        1.36855,
        1.50499,
        1.41404,
        1.33301,
        1.45571,
        1.43266,
        1.42968,
        1.42878,
        1.47982,
        1.48827,
        1.4315,
        1.45839,
        1.42642,
        1.425,
        1.45555,
        1.49557,
        1.47661,
        1.41751,
        1.44986,
        1.48782,
        1.45429,
        1.49153,
        1.42962,
        1.57241,
        1.58702,
        1.65988,
        1.61501,
        1.65304,
        1.7038,
        1.69781,
        1.73165,
        1.72478,
        1.77098,
        1.76455,
        1.79432,
        1.79524,
        1.8102,
        1.84353,
        1.79702,
        1.79993,
        1.80339,
        1.83879,
        1.80895,
        1.83939,
        1.89044,
        1.8937,
        1.84737,
        1.86316,
        1.87606,
        1.89425,
        1.88357,
        1.88824,
        1.87182,
        1.87968,
        1.87399,
        1.87894,
        1.90085,
        1.8802,
        1.90667,
        1.84416,
        1.84553,
        1.82934,
        1.80655,
        1.79624,
        1.8134,
        1.83824,
        1.82026,
        1.78514,
        1.75356,
        1.782,
        1.78431,
        1.77357,
        1.77147,
        1.74105,
        1.70848,
        1.7445,
        1.74345,
        1.63643,
        1.72725,
        1.93407,
        1.71923,
        1.5029,
        1.58729,
        1.56954,
        1.60146,
        1.70838,
        1.6642,
        1.65941,
        1.6441,
        1.58099,
        1.5966,
        1.6682,
        1.63816,
        1.65634,
        1.55559,
        1.54528,
        1.56959,
        1.5426,
        1.54413,
        1.47442,
        1.4209,
        1.4121,
        1.58586,
        1.61282,
        1.66624,
        1.56935,
        1.55157,
        1.55955,
        1.49116,
        1.52322,
        1.53015,
        1.54,
        1.55639,
        1.60065,
        1.53517,
        1.57588,
        1.59261,
        1.55391,
        1.55866,
        1.52944,
        1.55655,
        1.57904,
        1.57017,
        1.54491,
        1.52864,
        1.49912,
        1.53543,
        1.53543,
        1.52792,
        1.55132,
        1.51893,
        1.57342,
        1.58013,
        1.56054,
        1.53624,
        1.58194,
        1.57959,
        1.5482,
        1.54816,
        1.58105,
        1.56175,
        1.52509,
        1.53602,
        1.54665,
        1.58379,
        1.53286,
        1.51549,
        1.52901,
        1.55563,
        1.52995,
        1.55768,
        1.52789,
        1.53336,
        1.54049,
        1.54773,
        1.5805,
        1.56172,
        1.54189,
        1.54118,
        1.55324,
        1.55813,
        1.60679,
        1.57814,
        1.56875,
        1.53879,
        1.58797,
        1.54958,
        1.59134,
        1.59237,
        1.57996,
        1.57476,
        1.58181,
        1.59786,
        1.56156,
        1.56257,
        1.54825,
        1.54343,
        1.50639,
        1.52205,
        1.53306,
        1.51579,
        1.5101,
        1.50774,
        1.49142,
        1.51529,
        1.45791,
        1.49595,
        1.4479,
        1.48571,
        1.51261,
        1.45989,
        1.4587,
        1.47083,
        1.4585,
        1.42104,
        1.42749,
        1.47117,
        1.40521,
        1.41931,
        1.45545,
        1.44166,
        1.40668,
        1.46379,
        1.39389,
        1.4053,
        1.23526,
        1.44547,
        1.84132,
        1.44122,
        1.34571,
        1.38978,
        1.35134,
        1.36619,
        1.31642,
        1.36462,
        1.43715,
        1.38334,
        1.36048,
        1.41494,
        1.38807,
        1.32201,
        1.50637,
        1.39637,
        1.37256,
        1.55036,
        1.55379,
        1.65004,
        1.5784,
        1.33661,
        1.42977,
        1.28843,
        1.57533,
        1.48253,
        1.44197,
        1.47198,
        1.39215,
        1.35093,
        1.46198,
        1.43204,
        1.39151,
        1.4192,
        1.43722,
        1.37383,
        1.46162,
        1.36159,
        1.32688,
        1.363,
        1.44656,
        1.4282,
        1.42169,
        1.39228,
        1.42218,
        1.39879,
        1.3436,
        1.36124,
        1.39202,
        1.40731,
        1.35088,
        1.39109,
        1.43059,
        1.38184,
        1.42502,
        1.38053,
        1.37465,
        1.37141,
        1.33767,
        1.40363,
        1.39946,
        1.3967,
        1.3671,
        1.43441,
        1.42149,
        1.38418,
        1.41945,
        1.42265,
        1.37028,
        1.45308,
        1.40691,
        1.42713,
        1.44526,
        1.38385,
        1.41671,
        1.45052,
        1.42505,
        1.39727,
        1.4725,
        1.37839,
        1.42457,
        1.41239,
        1.4249,
        1.43253,
        1.44969,
        1.44405,
        1.41322,
        1.44029,
        1.38481,
        1.41805,
        1.44016,
        1.45418,
        1.45101,
        1.41621,
        1.39626,
        1.38771,
        1.36764,
        1.3719,
        1.36282,
        1.36968,
        1.39865,
        1.39924,
        1.39482,
        1.3897,
        1.37607,
        1.38422,
        1.3754,
        1.38333,
        1.36128,
        1.40729,
        1.36698,
        1.40447,
        1.37139,
        1.35922,
        1.31756,
        1.35209,
        1.32913,
        1.37269,
        1.3693,
        1.37093,
        1.32648,
        1.29902,
        1.29218,
        1.37681,
        1.39315,
        1.26313,
        1.32855,
        1.28026,
        1.15935,
        1.3051,
        1.38936,
        1.10153,
        1.22478,
        1.27054,
        1.30909,
        1.44597,
        1.37648,
        1.32967,
        1.35251,
        1.33661,
        1.31961,
        1.31954,
        1.24822,
        1.25107,
        1.29875,
        1.36102,
        1.30471,
        1.28003,
        1.34331,
        1.33422,
        1.29017,
        1.29042,
        1.28,
        1.3104,
        1.33354,
        1.29881,
        1.25807,
        1.29668,
        1.25891,
        1.30293,
        1.2854,
        1.3396,
        1.30123,
        1.32691,
        1.30614,
        1.27791,
        1.33001,
        1.33402,
        1.31932,
        1.31801,
        1.34658,
        1.30029,
        1.34175,
        1.35281,
        1.35223,
        1.36052,
        1.32267,
        1.35159,
        1.4179,
        1.35837,
        1.37787,
        1.37262,
        1.41284,
        1.36301,
        1.36174,
        1.44918,
        1.4099,
        1.46455,
        1.41549,
        1.41148,
        1.40576,
        1.52008,
        1.45153,
        1.38064,
        1.57984,
        1.63345,
        1.55043,
        1.40865,
        1.60433,
        1.50823,
        1.60698,
        1.59248,
        1.6943,
        1.73599,
        1.73128,
        1.72391,
        1.71063,
        1.74486,
        1.74238,
        1.71127,
        1.80243,
        1.86344,
        1.81555,
        1.80811,
        1.78731,
        1.80659,
        1.80397,
        1.80514,
        1.83597,
        1.8053,
        1.82641,
        1.82184,
        1.78484,
        1.82549,
        1.78466,
        1.86275,
        1.77086,
        1.82108,
        1.80497,
        1.7851,
        1.82801,
        1.84485,
        1.86954,
        1.87536,
        1.77186,
        1.77322,
        1.85024,
        1.84448,
        1.68715,
        1.80773,
        1.79609,
        1.79829,
        1.84988,
        1.70042,
        1.73128,
        1.73205,
        1.74828,
        1.78984,
        1.85105,
        1.77421,
        1.41972,
        1.55492,
        1.7788,
        1.72071,
        1.66332,
        1.72821,
        1.65235,
        1.68141,
        1.73539,
        1.71437,
        1.71749,
        1.72392,
        1.66077,
        1.72063,
        1.74971,
        1.70779,
        1.72747,
        1.70202,
        1.68021,
        1.70143,
        1.67983,
        1.69742,
        1.71546,
        1.70134,
        1.66623,
        1.68008,
        1.63715,
        1.63258,
        1.62303,
        1.59669,
        1.58661,
        1.57836,
        1.59568,
        1.58044,
        1.5822,
        1.57055,
        1.55962,
        1.55705,
        1.53939,
        1.55949,
        1.5937,
        1.55353,
        1.52397,
        1.51761,
        1.52645,
        1.49782,
        1.48754,
        1.52917,
        1.46218,
        1.46705,
        1.51911,
        1.48678,
        1.51594,
        1.49476,
        1.53551,
        1.50037,
        1.51259,
        1.56312,
        1.49679,
        1.50414,
        1.54278,
        1.55156,
        1.5105,
        1.52312,
        1.52401,
        1.55143,
        1.51836,
        1.50841,
        1.50627,
        1.51509,
        1.49905,
        1.49368,
        1.4973,
        1.48708,
        1.50396,
        1.52705,
        1.45356,
        1.4857,
        1.49514,
        1.51653,
        1.48491,
        1.45794,
        1.48629,
        1.45913,
        1.48943,
        1.40517,
        1.42391,
        1.42966,
        1.42326,
        1.44003,
        1.40869,
        1.3994,
        1.39904,
        1.40726,
        1.41682,
        1.40461,
        1.40086,
        1.37728,
        1.39787,
        1.36313,
        1.33647,
        1.37892,
        1.39477,
        1.38116,
        1.34352,
        1.36301,
        1.35269,
        1.42484,
        1.37077,
        1.37496,
        1.36115,
        1.36738,
        1.42629,
        1.41919,
        1.26621,
        1.32911,
        1.24822,
        1.30029,
        1.29432,
        1.28333,
        1.35635,
        1.375,
        1.44367,
        1.28133,
        1.38603,
        1.48907,
        1.35559,
        1.37656,
        1.48164,
        1.4368,
        1.28028,
        1.35231,
        1.31055,
        1.51815,
        1.46723,
        1.6813,
        1.42697,
        1.44266,
        1.39333,
        1.43772,
        1.40439,
        1.34751,
        1.4119,
        1.38368,
        1.44016,
        1.40373,
        1.41389,
        1.38476,
        1.40149,
        1.42828,
        1.41368,
        1.41858,
        1.44496,
        1.37166,
        1.40791,
        1.3879,
        1.37312,
        1.39166,
        1.39251,
        1.40561,
        1.38033,
        1.36828,
        1.30683,
        1.37337,
        1.35877,
        1.39332,
        1.38349,
        1.41504,
        1.34069,
        1.40388,
        1.37571,
        1.37311,
        1.33939,
        1.40049,
        1.35881,
        1.33352,
        1.30002,
        1.35361,
        1.35662,
        1.32683,
        1.31462,
        1.36573,
        1.3175,
        1.29339,
        1.29554,
        1.34126,
        1.31667,
        1.32618,
        1.32116,
        1.34969,
        1.36149,
        1.36039,
        1.34751,
        1.31003,
        1.30512,
        1.34152,
        1.33206,
        1.32744,
        1.29996,
        1.2973,
        1.31377,
        1.29027,
        1.32463,
        1.3208,
        1.32729,
        1.32224,
        1.33621,
        1.30456,
        1.3277,
        1.33097,
        1.35718,
        1.33901,
        1.33939,
        1.3149,
        1.33432,
        1.32291,
        1.31779,
        1.28387,
        1.31494,
        1.31667,
        1.30867,
        1.31362,
        1.29557,
        1.27228,
        1.35178,
        1.33531,
        1.31624,
        1.33814,
        1.36661,
        1.2863,
        1.33335,
        1.3289,
        1.33587,
        1.3195,
        1.36329,
        1.36024,
        1.27486,
        1.33018,
        1.35068,
        1.32291,
        1.38728,
        1.31632,
        1.28398,
        1.29654,
        1.33481,
        1.27959,
        1.29663,
        1.32238,
        1.30388,
        1.29101,
        1.25284,
        1.29584,
        1.26874,
        1.34706,
        1.29181,
        1.36819,
        1.32858,
        1.37246,
        1.36549,
        1.37715,
        1.35718,
        1.29381,
        1.35175,
        1.37954,
        1.47217,
        1.37598,
        1.32883,
        1.35992,
        1.35946,
        1.32768,
        1.42525,
        1.33178,
        1.2532,
        1.22115,
        1.23892,
        1.26919,
        1.36746,
        1.27894,
        1.29708,
        1.23255,
        1.29557,
        1.35758,
        1.35715,
        1.35598,
        1.42067,
        1.36109,
        1.38217,
        1.40708,
        1.37307,
        1.35728,
        1.36407,
        1.37645,
        1.37817,
        1.37618,
        1.43486,
        1.41672,
        1.40395,
        1.43549,
        1.39461,
        1.43123,
        1.44857,
        1.42919,
        1.36451,
        1.38957,
        1.35854,
        1.42219,
        1.42215,
        1.42012,
        1.441,
        1.38962,
        1.40566,
        1.37091,
        1.38939,
        1.35785,
        1.44535,
        1.40497,
        1.44619,
        1.45727,
        null,
        1.46936,
        1.44204,
        1.41003,
        1.40023,
        1.42616,
        1.44557,
        1.41837,
        1.42632,
        1.41775,
        1.39899,
        1.39744,
        1.40257,
        1.37482,
        1.38015,
        1.38482,
        1.38621,
        1.3757,
        1.39113,
        1.38471,
        1.35528,
        1.35262,
        1.37859,
        1.36372,
        1.3614,
        1.34471,
        1.34108,
        1.3026,
        1.29541,
        1.33653,
        1.31945,
        1.32936,
        1.32439,
        1.32743,
        1.33714,
        1.36585,
        1.32314,
        1.26825,
        1.25811,
        1.28789,
        1.342,
        1.34568,
        1.32843,
        1.32861,
        1.33884,
        1.35244,
        1.33841,
        1.35716,
        1.35205,
        1.34363,
        1.35409,
        1.36814,
        1.3626,
        1.36166,
        1.35251,
        1.31882,
        1.32231,
        1.32164,
        1.32648,
        1.31474,
        1.33967,
        1.34849,
        1.33564,
        1.2965,
        1.30932,
        1.36129,
        1.33743,
        1.31782,
        1.31526,
        1.29428,
        1.30633,
        1.27494,
        1.27244,
        1.3379,
        1.31113,
        1.26667,
        1.31806,
        1.35381,
        1.28934,
        1.27508,
        1.30361,
        1.31864,
        1.33407,
        1.32289,
        1.33735,
        1.34043,
        1.32211,
        1.34316,
        1.34181,
        1.34571,
        1.32685,
        1.3273,
        1.31535,
        1.31795,
        1.31445,
        1.3125,
        1.29175,
        1.31149,
        1.31927,
        1.30761,
        1.32724,
        1.33687,
        1.35922,
        1.33884,
        1.30936,
        1.31178,
        1.34952,
        1.34926,
        1.36474,
        1.37709,
        1.36357,
        1.34589,
        1.35879,
        1.36178,
        1.3329,
        1.3252,
        1.35475,
        1.34116,
        1.30065,
        1.33091,
        1.33697,
        1.33609,
        1.35775,
        1.37822,
        1.35965,
        1.3521,
        1.35431,
        1.37741,
        1.36915,
        1.35105,
        1.35522,
        1.37881,
        1.35962,
        1.33963,
        1.37122,
        1.39546,
        1.37826,
        1.37284,
        1.3709,
        1.36766,
        1.3421,
        1.38763,
        1.40508,
        1.4024,
        1.34026,
        1.34304,
        1.39244,
        1.37747,
        1.33938,
        1.37563,
        1.33283,
        1.3277,
        1.33375,
        1.33553,
        1.34725,
        1.33646,
        1.31644,
        1.33367,
        1.3354,
        1.34176,
        1.34619,
        1.34228,
        1.33895,
        1.34998,
        1.34754,
        1.3571,
        1.35077,
        1.36117,
        1.3522,
        1.37587,
        1.38109,
        1.36569,
        1.37278,
        1.3606,
        1.36031,
        1.37026,
        1.36859,
        1.38741,
        1.40015,
        1.38817,
        1.38944,
        1.3609,
        1.3483,
        1.36163,
        1.355,
        1.37054,
        1.3669,
        1.37086,
        1.39425,
        1.38494,
        1.36587,
        1.33997,
        1.33409,
        1.35002,
        1.3515,
        1.31897,
        1.2575,
        1.28927,
        1.30868,
        1.30175,
        1.32581,
        1.30409,
        1.30805,
        1.27659,
        1.29348,
        1.27245,
        1.26846,
        1.27828,
        1.26771,
        1.26742,
        1.33786,
        1.33064,
        1.31772,
        1.32516,
        1.3234,
        1.33187,
        1.31498,
        1.29453,
        1.30033,
        1.29746,
        1.31566,
        1.30339,
        1.32537,
        1.33334,
        1.31906,
        1.32359,
        1.32006,
        1.33625,
        1.33236,
        1.35212,
        1.3596,
        1.3386,
        1.34194,
        1.3423,
        1.36844,
        1.373,
        1.36623,
        1.35909,
        1.37923,
        1.40185,
        1.40908,
        1.38332,
        1.40227,
        1.39754,
        1.39601,
        1.40509,
        1.41534,
        1.42454,
        1.42333,
        1.42161,
        1.42232,
        1.45809,
        1.46669,
        1.4479,
        1.39966,
        1.38551,
        1.42854,
        1.45315,
        1.51017,
        1.48481,
        1.44314,
        1.47248,
        1.48436,
        1.47308,
        1.38278,
        1.43121,
        1.31893,
        1.30015,
        1.34008,
        1.48447,
        1.6468,
        1.71913,
        1.7434,
        1.72136,
        1.76404,
        1.81405,
        1.83113,
        1.83155,
        1.84681,
        1.87863,
        1.86959,
        1.90893,
        1.9152,
        1.93107,
        1.91429,
        1.92497,
        1.91551,
        1.91074,
        1.94078,
        1.95287,
        1.96105,
        1.95679,
        1.91845,
        1.93498,
        1.96334,
        1.97207,
        1.9602,
        1.95394,
        1.93509,
        1.92588,
        1.94368,
        1.96876,
        1.92282,
        1.91647,
        1.89459,
        1.86378,
        1.86479,
        1.8821,
        1.85537,
        1.81502,
        1.77069,
        1.7955,
        1.79488,
        1.80281,
        1.83493,
        1.80506,
        1.77938,
        1.78016,
        1.73818,
        1.74347,
        1.72572,
        1.69684,
        1.67033,
        1.68621,
        1.6537,
        1.65762,
        1.64799,
        1.61383,
        1.58972,
        1.59662,
        1.56133,
        1.55419,
        1.55978,
        1.55146,
        1.54538,
        1.53097,
        1.52137,
        1.49998,
        1.49921,
        1.47145,
        1.47662,
        1.49198,
        1.47419,
        1.45853,
        1.44634,
        1.42744,
        1.42242,
        1.43097,
        1.39028,
        1.37467,
        1.37325,
        1.39129,
        1.37514,
        1.3907,
        1.37505,
        1.34558,
        1.3575,
        1.38471,
        1.3449,
        1.3398,
        1.3546,
        1.37866,
        1.3914,
        1.31403,
        1.30965,
        1.30472,
        1.33744,
        1.34242,
        1.34092,
        1.32467,
        1.34902,
        1.34777,
        1.31477,
        1.32876,
        1.3333,
        1.33408,
        1.34829,
        1.32837,
        1.32968,
        1.34816,
        1.37729,
        1.33868,
        1.29567,
        1.33417,
        1.35204,
        1.35037,
        1.33265,
        1.32929,
        1.31361,
        1.34013,
        1.3199,
        1.3017,
        1.29698,
        1.3178,
        1.32882,
        1.33429,
        1.33256,
        1.33363,
        1.33504,
        1.3399,
        1.35101,
        1.35181,
        1.34503,
        1.33155,
        1.33856,
        1.34866,
        1.34726,
        1.3405,
        1.36829,
        1.33963,
        1.34813,
        1.34954,
        1.37067,
        1.36305,
        1.37692,
        1.39337,
        1.39314,
        1.37518,
        1.39141,
        1.44753,
        1.44592,
        1.51259,
        1.4928,
        1.50101,
        1.49563,
        1.4782,
        1.49061,
        1.5153,
        1.50678,
        1.46177,
        1.43505,
        1.42924,
        1.46091,
        1.42949,
        1.43613,
        1.436,
        1.38729,
        1.41027,
        1.40686,
        1.42598,
        1.47754,
        1.42078,
        1.39509,
        1.39985,
        1.43515,
        1.42235,
        1.42853,
        1.40629,
        1.40402,
        1.37425,
        1.38362,
        1.37704,
        1.39985,
        1.39374,
        1.37806,
        1.359,
        1.38131,
        1.39193,
        1.37536,
        1.38401,
        1.38487,
        1.37391,
        1.37245,
        1.38433,
        1.41409,
        1.42191,
        1.39151,
        1.38155,
        1.38184,
        1.38676,
        1.39785,
        1.37145,
        1.35298,
        1.37008,
        1.36686,
        1.3707,
        1.38717,
        1.36929,
        1.38113,
        1.35557,
        1.37589,
        1.40561,
        1.39882,
        1.38675,
        1.3755,
        1.35691,
        1.37121,
        1.34972,
        1.3261,
        1.37613,
        1.37938,
        1.37258,
        1.34688,
        1.36261,
        1.33928,
        1.32396,
        1.34783,
        1.36697,
        1.37997,
        1.36329,
        1.36576,
        1.36707,
        1.37446,
        1.349,
        1.34876,
        1.34266,
        1.36202,
        1.34263,
        1.32515,
        1.33082,
        1.32891,
        1.35034,
        1.36605,
        1.36678,
        1.3511,
        1.36254,
        1.34908,
        1.35654,
        1.36353,
        1.32905,
        1.32507,
        1.32116,
        1.31902,
        1.33086,
        1.33584,
        1.32329,
        1.34616,
        1.36203,
        1.36686,
        1.36055,
        1.35956,
        1.35342,
        1.35112,
        1.34923,
        1.36355,
        1.36036,
        1.37319,
        1.37399,
        1.35074,
        1.36306,
        1.35805,
        1.36025,
        1.35467,
        1.3706,
        1.36408,
        1.36138,
        1.36926,
        1.38047,
        1.3449,
        1.35533,
        1.35695,
        1.34241,
        1.35317,
        1.36594,
        1.37581,
        1.36601,
        1.36287,
        1.37149,
        1.36704,
        1.37464,
        1.37947,
        1.3789,
        1.36248,
        1.3913,
        1.38383,
        1.34696,
        1.32342,
        1.33573,
        1.35752,
        1.36341,
        1.35769,
        1.35123,
        1.36184,
        1.37532,
        1.38145,
        1.40347,
        1.3875,
        1.3779,
        1.35973,
        1.3713,
        1.38442,
        1.39339,
        1.40803,
        1.40097,
        1.44409,
        1.44207,
        1.44625,
        1.44654,
        1.44668,
        1.45458,
        1.45526,
        1.4512,
        1.48113,
        1.49897,
        1.50793,
        1.51327,
        1.47535,
        1.50562,
        1.5106,
        1.49705,
        1.50963,
        1.51382,
        1.47025,
        1.48437,
        1.47385,
        1.47711,
        1.51653,
        1.52719,
        1.51229,
        1.54985,
        1.54736,
        1.54694,
        1.53915,
        1.51661,
        1.54062,
        1.57998,
        1.59125,
        1.61599,
        1.5897,
        1.57056,
        1.57064,
        1.56543,
        1.58065,
        1.57548,
        1.55526,
        1.56217,
        1.58253,
        1.60271,
        1.56051,
        1.56163,
        1.54888,
        1.56925,
        1.54803,
        1.54424,
        1.55655,
        1.54866,
        1.57963,
        1.56246,
        1.52601,
        1.56157,
        1.63164,
        1.59023,
        1.59011,
        1.52181,
        1.70245,
        1.90239,
        1.95589,
        1.85634,
        1.87611,
        1.74833,
        1.82531,
        1.80359,
        1.77659,
        1.8447,
        1.88021,
        1.89474,
        1.88359,
        1.86742,
        1.87445,
        1.8882,
        1.87855,
        1.89438,
        1.85948,
        1.82538,
        1.86947,
        1.8734,
        1.86665,
        1.856,
        1.85184,
        1.85687,
        1.82426,
        1.85454,
        1.8289,
        1.83338,
        1.82839,
        1.80982,
        1.80661,
        1.84524,
        1.84673,
        1.82102,
        1.79954,
        1.80993,
        1.80821,
        1.76662,
        1.76764,
        1.72416,
        1.74288,
        1.76265,
        1.73298,
        1.72684,
        1.74873,
        1.73673,
        1.74644,
        1.68112,
        1.71189,
        1.71044,
        1.73373,
        1.70377,
        1.65286,
        1.65695,
        1.66156,
        1.64781,
        1.63959,
        1.62408,
        1.60505,
        1.60459,
        1.57873,
        1.55949,
        1.55756,
        1.58078,
        1.5724,
        1.53164,
        1.54343,
        1.53993,
        1.51946,
        1.53459,
        1.55219,
        1.51415,
        1.50516,
        1.50825,
        1.47443,
        1.51015,
        1.47747,
        1.46067,
        1.46967,
        1.44137,
        1.39309,
        1.4158,
        1.39761,
        1.41209,
        1.43955,
        1.44212,
        1.42759,
        1.37112,
        1.41248,
        1.41167,
        1.41728,
        1.42305,
        1.40871,
        1.40719,
        1.4115,
        1.3955,
        1.39771,
        1.43144,
        1.4012,
        1.40965,
        1.42154,
        1.39839,
        1.40308,
        1.39017,
        1.394,
        1.39207,
        1.37909,
        1.39266,
        1.37714,
        1.38227,
        1.33887,
        1.34383,
        1.30748,
        1.34341,
        1.3644,
        1.39292,
        1.38146,
        1.38405,
        1.40497,
        1.35458,
        1.37424,
        1.38803,
        1.36423,
        1.39769,
        1.3927,
        1.35725,
        1.35252,
        1.38084,
        1.38117,
        1.37562,
        1.37138,
        1.39548,
        1.38254,
        1.38083,
        1.3608,
        1.3699,
        1.37968,
        1.39428,
        1.39696,
        1.36639,
        1.3644,
        1.34946,
        1.3835,
        1.36995,
        1.37354,
        1.36901,
        1.35708,
        1.36112,
        1.33778,
        1.33643,
        1.34663,
        1.33484,
        1.35779,
        1.36195,
        1.35794,
        1.34749,
        1.34155,
        1.358,
        1.37111,
        1.33833,
        1.36222,
        1.35484,
        1.33104,
        1.31448,
        1.29305,
        1.30151,
        1.33136,
        1.3339,
        1.32552,
        1.33005,
        1.29378,
        1.3313,
        1.32329,
        1.31955,
        1.3088,
        1.30586,
        1.35526,
        1.34154,
        1.3231,
        1.32449,
        1.34528,
        1.32703,
        1.33365,
        1.34565,
        1.35078,
        1.34177,
        1.33492,
        1.34889,
        1.34998,
        1.33473,
        1.35336,
        1.36703,
        1.35859,
        1.37604,
        1.39766,
        1.37107,
        1.361,
        1.37638,
        1.38256,
        1.38285,
        1.42083,
        1.40942,
        1.39472,
        1.38236,
        1.37278,
        1.38754,
        1.45803,
        1.43448,
        1.41918,
        1.4142,
        1.42573,
        1.42759,
        1.4139,
        1.39473,
        1.40861,
        1.37771,
        1.37293,
        1.39886,
        1.40487,
        1.37924,
        1.41078,
        1.4074,
        1.41932,
        1.43233,
        1.40979,
        1.39777,
        1.40402,
        1.39892,
        1.37966,
        1.39534,
        1.39487,
        1.40052,
        1.42453,
        1.40083,
        1.38934,
        1.40391,
        1.4083,
        1.41785,
        1.42037,
        1.41157,
        1.38783,
        1.40025,
        1.38726,
        1.38703,
        1.38598,
        1.41109,
        1.3991,
        1.38978,
        1.41221,
        1.41818,
        1.42101,
        1.40502,
        1.41994,
        1.40889,
        1.43535,
        1.43707,
        1.43292,
        1.41857,
        1.42185,
        1.4164,
        1.39816,
        1.3969,
        1.4076,
        1.40374,
        1.4084,
        1.39752,
        1.42906,
        1.42547,
        1.42096,
        1.43784,
        1.44607,
        1.43371,
        1.41599,
        1.4067,
        1.42868,
        1.41315,
        1.39121,
        1.40878,
        1.40064,
        1.42088,
        1.39071,
        1.39038,
        1.39763,
        1.40765,
        1.4038,
        1.42741,
        1.38548,
        1.39218,
        1.39158,
        1.40726,
        1.41554,
        1.40075,
        1.38472,
        1.39564,
        1.39617,
        1.39569,
        1.39339,
        1.41574,
        1.43138,
        1.42706,
        1.42765,
        1.42705,
        1.44479,
        1.45076,
        1.42998,
        1.44393,
        1.43676,
        1.46356,
        1.46038,
        1.44206,
        1.43988,
        1.41933,
        1.43915,
        1.45208,
        1.46068,
        1.43452,
        1.4841,
        1.46001,
        1.46143,
        1.45246,
        1.47695,
        1.46495,
        1.49819,
        1.51666,
        1.55027,
        1.498,
        1.49294,
        1.44094,
        1.44716,
        1.49585,
        1.49328,
        1.47835,
        1.45823,
        1.47997,
        1.46153,
        1.45135,
        1.46197,
        1.4632,
        1.48297,
        1.42615,
        1.47078,
        1.48613,
        1.45846,
        1.45173,
        1.45983,
        1.48048,
        1.4505,
        1.46585,
        1.45883,
        1.43749,
        1.45919,
        1.49219,
        1.50365,
        1.5175,
        1.5046,
        1.50643,
        1.49826,
        1.52462,
        1.513,
        1.53037,
        1.51289,
        1.50356,
        1.51637,
        1.50564,
        1.4985,
        1.50605,
        1.49289,
        1.51654,
        1.50689,
        1.49971,
        1.45591,
        1.46356,
        1.48905,
        1.45235,
        1.45607,
        1.4438,
        1.46563,
        1.42605,
        1.43577,
        1.43553,
        1.49693,
        1.51221,
        1.48317,
        1.43498,
        1.41469,
        1.48114,
        1.4776,
        1.43887,
        1.55365,
        1.53367,
        1.41609,
        1.5694,
        1.72775,
        1.58254,
        1.57295,
        1.61528,
        1.5916,
        1.64826,
        1.64143,
        1.66747,
        1.65416,
        1.68039,
        1.73789,
        1.78019,
        1.75425,
        1.74627,
        1.76174,
        1.79561,
        1.79069,
        1.76946,
        1.74924,
        1.74537,
        1.77388,
        1.7775,
        1.76373,
        1.80562,
        1.77248,
        1.75685,
        1.76479,
        1.77809,
        1.79073,
        1.7657,
        1.74768,
        1.7806,
        1.78609,
        1.79366,
        1.78189,
        1.76916,
        1.77276,
        1.79048,
        1.73185,
        1.71099,
        1.75306,
        1.74317,
        1.72194,
        1.71895,
        1.73088,
        1.73861,
        1.74173,
        1.71428,
        1.73393,
        1.73661,
        1.68579,
        1.69948,
        1.6975,
        1.66029,
        1.66173,
        1.70271,
        1.68409,
        1.64512,
        1.60664,
        1.60081,
        1.58848,
        1.5762,
        1.57957,
        1.59916,
        1.57194,
        1.56524,
        1.5363,
        1.55164,
        1.5587,
        1.52946,
        1.50902,
        1.49594,
        1.48392,
        1.49559,
        1.50796,
        1.48577,
        1.46564,
        1.46434,
        1.46396,
        1.45632,
        1.42704,
        1.42153,
        1.41175,
        1.42211,
        1.41028,
        1.38517,
        1.37842,
        1.3711,
        1.35492,
        1.36692,
        1.37864,
        1.3552,
        1.34871,
        1.34691,
        1.36008,
        1.33138,
        1.34051,
        1.34949,
        1.31412,
        1.34973,
        1.3199,
        1.31847,
        1.31398,
        1.34621,
        1.31925,
        1.35032,
        1.34038,
        1.33834,
        1.31776,
        1.32989,
        1.34914,
        1.3424,
        1.35856,
        1.35383,
        1.34162,
        1.34667,
        1.33629,
        1.34624,
        1.37028,
        1.38137,
        1.35408,
        1.34516,
        1.35446,
        1.33752,
        1.36106,
        1.38253,
        1.37434,
        1.37715,
        1.38679,
        1.38222,
        1.36003,
        1.34236,
        1.32783,
        1.34473,
        1.33619,
        1.37286,
        1.37792,
        1.38618,
        1.39501,
        1.38456,
        1.39037,
        1.40933,
        1.40212,
        1.39232,
        1.39326,
        1.39776,
        1.3447,
        1.37438,
        1.39157,
        1.37939,
        1.35946,
        1.38492,
        1.37476,
        1.38919,
        1.36487,
        1.38995,
        1.36119,
        1.41275,
        1.3782,
        1.37425,
        1.36952,
        1.36952,
        1.37803,
        1.39005,
        1.37066,
        1.37718,
        1.39773,
        1.41035,
        1.40632,
        1.40171,
        1.43839,
        1.42093,
        1.40914,
        1.37677,
        1.3548,
        1.36275,
        1.36653,
        1.37312,
        1.37685,
        1.38562,
        1.39223,
        1.39059,
        1.38739,
        1.3805,
        1.41416,
        1.46996,
        1.41276,
        1.37029,
        1.38943,
        1.36972,
        1.36195,
        1.36239,
        1.39208,
        1.39172,
        1.42283,
        1.42312,
        1.4252,
        1.44835,
        1.42239,
        1.41491,
        1.41837,
        1.39397,
        1.37109,
        1.38529,
        1.40056,
        1.38919,
        1.37745,
        1.3783,
        1.38997,
        1.40812,
        1.39278,
        1.42032,
        1.42344,
        1.40513,
        1.39669,
        1.3887,
        1.3998,
        1.38952,
        1.38635,
        1.38671,
        1.35923,
        1.39705,
        1.38445,
        1.37752,
        1.36235,
        1.3831,
        1.36443,
        1.36997,
        1.35703,
        1.36199,
        1.35542,
        1.35697,
        1.33607,
        1.36531,
        1.38701,
        1.38413,
        1.40134,
        1.43789,
        1.38684,
        1.36519,
        1.46211,
        1.51776,
        1.54878,
        1.47715,
        1.57053,
        1.64463,
        1.69954,
        1.49989,
        1.51283,
        1.49055,
        1.40164,
        1.43697,
        1.40113,
        1.42944,
        1.40861,
        1.41848,
        1.41752,
        1.41603,
        1.40855,
        1.40819,
        1.40922,
        1.46063,
        1.43432,
        1.44572,
        1.45264,
        1.42784,
        1.42251,
        1.43559,
        1.43159,
        1.44758,
        1.45554,
        1.49704,
        1.47786,
        1.481,
        1.47525,
        1.48911,
        1.47304,
        1.46697,
        1.46903,
        1.46188,
        1.4784,
        1.49935,
        1.4766,
        1.50552,
        1.54722,
        1.5297,
        1.50919,
        1.5097,
        1.5252,
        1.53251,
        1.52956,
        1.53465,
        1.57517,
        1.58269,
        1.56563,
        1.55829,
        1.59269,
        1.5932,
        1.6376,
        1.5998,
        1.6108,
        1.59117,
        1.61919,
        1.61014,
        1.63441,
        1.60959,
        1.56379,
        1.671,
        1.63099,
        1.67926,
        1.64673,
        1.64152,
        1.57621,
        1.57762,
        1.57057,
        1.55234,
        1.5728,
        1.56111,
        1.54728,
        1.56555,
        1.57504,
        1.55205,
        1.5472,
        1.53373,
        1.5357,
        1.52627,
        1.54519,
        1.48131,
        1.5368,
        1.52143,
        1.53127,
        1.51705,
        1.5442,
        1.55702,
        1.55399,
        1.55602,
        1.56678,
        1.57977,
        1.59706,
        1.61476,
        1.59865,
        1.6131,
        1.62213,
        1.58014,
        1.57089,
        1.5729,
        1.55434,
        1.56443,
        1.54994,
        1.54907,
        1.559,
        1.50283,
        1.54259,
        1.55737,
        1.49191,
        1.54633,
        1.5452,
        1.5562,
        1.52814,
        1.5208,
        1.51895,
        1.5239,
        1.538,
        1.53297,
        1.56785,
        1.53281,
        1.50847,
        1.51491,
        1.48654,
        1.50446,
        1.46932,
        1.46415,
        1.50015,
        1.51787,
        1.53019,
        1.4525,
        1.47112,
        1.43418,
        1.46081,
        1.45905,
        1.42039,
        1.45432,
        1.45661,
        1.4124,
        1.45577,
        1.44208,
        1.39824,
        1.48806,
        1.44104,
        1.44348,
        1.44944,
        1.43247,
        1.45055,
        1.4522,
        1.44807,
        1.43499,
        1.47645,
        1.40471,
        1.44982,
        1.44955,
        1.46841,
        1.4829,
        1.45137,
        1.53231,
        1.54953,
        1.51246,
        1.49501,
        1.50051,
        1.50021,
        1.57637,
        1.54518,
        1.71595,
        1.6189,
        1.62855,
        1.46658,
        1.60024,
        1.64677,
        1.74242,
        1.83407,
        1.83719,
        1.89772,
        1.94974,
        1.84626,
        1.80113,
        1.88314,
        1.92935,
        1.98066,
        1.95804,
        1.90591,
        1.89626,
        2.05332,
        2.30571,
        2.26113,
        2.10263,
        1.90326,
        1.90018,
        1.87552,
        1.99797,
        1.95859,
        1.91806,
        1.81039,
        1.82566,
        1.79267,
        1.83437,
        1.84916,
        1.84634,
        1.77261,
        1.81824,
        1.8096,
        1.79243,
        1.82708,
        1.80838,
        1.84859,
        1.83437,
        1.83139,
        1.8189,
        1.77389,
        1.79192,
        1.74982,
        1.71958,
        1.72327,
        1.71751,
        1.75688,
        1.73522,
        1.67994,
        1.68694,
        1.63396,
        1.65734,
        1.62978,
        1.6686,
        1.63077,
        1.64363,
        1.64843,
        1.66389,
        1.62269,
        1.62869,
        1.5912,
        1.62921,
        1.64375,
        1.62837,
        1.60342,
        1.59416,
        1.59919,
        1.60346,
        1.57951,
        1.54214,
        1.51467,
        1.52905,
        1.5248,
        1.51078,
        1.50588,
        1.48908,
        1.47655,
        1.4689,
        1.48251,
        1.48649,
        1.48249,
        1.47095,
        1.43429,
        1.45055,
        1.45207,
        1.43197,
        1.44305,
        1.41724,
        1.40229,
        1.41266,
        1.40439,
        1.40173,
        1.40874,
        1.4231,
        1.45949,
        1.41206,
        1.40161,
        1.43164,
        1.40898,
        1.42929,
        1.38629,
        1.41103,
        1.39705,
        1.38987,
        1.39575,
        1.37359,
        1.42285,
        1.42229,
        1.39621,
        1.40136,
        1.39473,
        1.39925,
        1.40844,
        1.38741,
        1.42664,
        1.38766,
        1.40701,
        1.3905,
        1.39663,
        1.43347,
        1.41451,
        1.42563,
        1.40254,
        1.41479,
        1.44951,
        1.41491,
        1.4019,
        1.41655,
        1.41381,
        1.40071,
        1.44107,
        1.46437,
        1.42879,
        1.38675,
        1.36629,
        1.36779,
        1.38296,
        1.41307,
        1.34993,
        1.35796,
        1.36256,
        1.36365,
        1.35644,
        1.35936,
        1.43064,
        1.40501,
        1.41564,
        1.37279,
        1.33775,
        1.32916,
        1.36128,
        1.33853,
        1.39566,
        1.37849,
        1.3423,
        1.33991,
        1.40342,
        1.36727,
        1.34748,
        1.34122,
        1.33986,
        1.36607,
        1.32558,
        1.33828,
        1.33467,
        1.35663,
        1.37732,
        1.31189,
        1.30431,
        1.308,
        1.34079,
        1.3363,
        1.35642,
        1.33809,
        1.35021,
        1.3464,
        1.32624,
        1.34986,
        1.36763,
        1.33801,
        1.32466,
        1.35199,
        1.35927,
        1.29068,
        1.34903,
        1.33782,
        1.3481,
        1.3232,
        1.31895,
        1.30678,
        1.30853,
        1.3271,
        1.2961,
        1.37802,
        1.34387,
        1.32604,
        1.33845,
        1.34027,
        1.33444,
        1.28975,
        1.30905,
        1.33368,
        1.35082,
        1.33471,
        1.36197,
        1.37734,
        1.33787,
        1.36265,
        1.36837,
        1.31462,
        1.30893,
        1.31068,
        1.33706,
        1.35498,
        1.35328,
        1.31767,
        1.34757,
        1.29613,
        1.32488,
        1.36544,
        1.36146,
        1.35342,
        1.37271,
        1.34156,
        1.38718,
        1.33994,
        1.34241,
        1.35488,
        1.40104,
        1.38168,
        1.3637,
        1.31185,
        1.37288,
        1.39922,
        1.38778,
        1.41088,
        1.41955,
        1.39483,
        1.39342,
        1.38049,
        1.40961,
        1.43401,
        1.41426,
        1.42142,
        1.40349,
        1.38954,
        1.41835,
        1.43039,
        1.43814,
        1.43757,
        1.41656,
        1.41481,
        1.41678,
        1.44234,
        1.42946,
        1.41079,
        1.42158,
        1.43335,
        1.40011,
        1.42013,
        1.4409,
        1.43552,
        1.48182,
        1.47804,
        1.5188,
        1.53373,
        1.48928,
        1.48145,
        1.51247,
        1.55875,
        1.55503,
        1.51935,
        1.54165,
        1.51724,
        1.52653,
        1.54351,
        1.57845,
        1.51996,
        1.53468,
        1.49683,
        1.53529,
        1.51527,
        1.48642,
        1.54329,
        1.54963,
        1.55968,
        1.54755,
        1.5557,
        1.55892,
        1.57926,
        1.51217,
        1.53042,
        1.54677,
        1.53425,
        1.54347,
        1.56081,
        1.54572,
        1.60015,
        1.58748,
        1.58744,
        1.56228,
        1.57201,
        1.56311,
        1.5716,
        1.57891,
        1.60053,
        1.57546,
        1.56002,
        1.54674,
        1.57885,
        1.5588,
        1.58372,
        1.53943,
        1.5464,
        1.55751,
        1.50543,
        1.48757,
        1.53847,
        1.50267,
        1.48812,
        1.46306,
        1.5005,
        1.48592,
        1.49415,
        1.48463,
        1.45502,
        1.50439,
        1.47231,
        1.48619,
        1.4646,
        1.44106,
        1.39963,
        1.44484,
        1.44528,
        1.44782,
        1.43384,
        1.42446,
        1.4132,
        1.41813,
        1.38531,
        1.3827,
        1.36525,
        1.41592,
        1.3962,
        1.3766,
        1.37593,
        1.37236,
        1.39988,
        1.33875,
        1.44472,
        1.40802,
        1.36428,
        1.36666,
        1.3749,
        1.37735,
        1.37879,
        1.37892,
        1.34662,
        1.37346,
        1.35115,
        1.32585,
        1.36285,
        1.3338,
        1.33738,
        1.36108,
        1.37123,
        1.35309,
        1.30198,
        1.32368,
        1.33363,
        1.32801,
        1.3247,
        1.33398,
        1.34713,
        1.36918,
        1.33599,
        1.3034,
        1.29902,
        1.35146,
        1.28547,
        1.31906,
        1.33711,
        1.34198,
        1.3072,
        1.32709,
        1.30693,
        1.35896,
        1.36923,
        1.3534,
        1.33325,
        1.34763,
        1.34,
        1.29968,
        1.32229,
        1.33762,
        1.38651,
        1.38811,
        1.40214,
        1.37347,
        1.32237,
        1.38802,
        1.43412,
        1.3965,
        1.39105,
        1.38576,
        1.38465,
        1.39658,
        1.37559,
        1.36752,
        1.39759,
        1.45449,
        1.42221,
        1.45367,
        1.5356,
        1.34258,
        1.38353,
        1.12991,
        1.70537,
        1.69614,
        1.55509,
        1.67275,
        1.62675,
        1.65904,
        1.64618,
        1.6472,
        1.58907,
        1.6584,
        1.7143,
        1.65742,
        1.74719,
        1.69428,
        1.77382,
        1.76719,
        1.73392,
        1.73954,
        1.75483,
        1.73953,
        1.79307,
        1.78778,
        1.73382,
        1.76145,
        1.76515,
        1.79233,
        1.73912,
        1.75598,
        1.69075,
        1.70989,
        1.7386,
        1.68216,
        1.70542,
        1.75923,
        1.72441,
        1.70721,
        1.75118,
        1.74022,
        1.69561,
        1.69922,
        1.72312,
        1.67533,
        1.72396,
        1.68914,
        1.66708,
        1.67297,
        1.71161,
        1.68181,
        1.69442,
        1.70379,
        1.73015,
        1.70307,
        1.66289,
        1.66056,
        1.67482,
        1.70686,
        1.69172,
        1.66464,
        1.67538,
        1.6632,
        1.61692,
        1.63227,
        1.63346,
        1.57609,
        1.61985,
        1.58624,
        1.53419,
        1.54142,
        1.54349,
        1.47451,
        1.51802,
        1.49547,
        1.53828,
        1.48686,
        1.52421,
        1.5209,
        1.46787,
        1.5049,
        1.46734,
        1.4661,
        1.44001,
        1.39267,
        1.46802,
        1.44505,
        1.41104,
        1.36407,
        1.39593,
        1.35614,
        1.36397,
        1.34814,
        1.39747,
        1.37422,
        1.35501,
        1.36752,
        1.37958,
        1.38781,
        1.40413,
        1.36267,
        1.31488,
        1.32679,
        1.34986,
        null,
        1.55626,
        1.54951,
        1.56551,
        1.54464,
        1.54341,
        1.55636,
        1.53496,
        1.52555,
        1.57029,
        1.58678,
        1.56872,
        1.57577,
        1.56604,
        1.52741,
        1.52666,
        1.53498,
        1.54806,
        1.53439,
        1.52032,
        1.52367,
        1.50653,
        1.49673,
        1.48974,
        1.49298,
        1.49133,
        1.48063,
        1.50213,
        1.50247,
        1.46095,
        1.44044,
        1.42327,
        1.42863,
        1.42888,
        1.42763,
        1.41422,
        1.39791,
        1.42025,
        1.42698,
        1.41861,
        1.42603,
        1.40317,
        1.39954,
        1.38175,
        1.36565,
        1.37186,
        1.40199,
        1.40496,
        1.37803,
        1.37232,
        1.3858,
        1.38072,
        1.33632,
        1.34471,
        1.36853,
        1.35737,
        1.3408,
        1.3259,
        1.3298,
        1.35209,
        1.3657,
        1.36336,
        1.33709,
        1.35981,
        1.36416,
        1.38254,
        1.384,
        1.35381,
        1.36045,
        1.37845,
        1.3881,
        1.3721,
        1.36841,
        1.38209,
        1.38623,
        1.38409,
        1.38001,
        1.39463,
        1.4016,
        1.40629,
        1.40594,
        1.40063,
        1.37448,
        1.3764,
        1.37553,
        1.38037,
        1.37456,
        1.37727,
        1.38412,
        1.3803,
        1.36303,
        1.37613,
        1.39403,
        1.38567,
        1.39492,
        1.38746,
        1.37383,
        1.38983,
        1.38118,
        1.38167,
        1.40145,
        1.3968,
        1.39694,
        1.38729,
        1.37992,
        1.39693,
        1.40004,
        1.39447,
        1.38969,
        1.39283,
        1.39671,
        1.36466,
        1.37015,
        1.41892,
        1.40006,
        1.38777,
        1.40593,
        1.41017,
        1.39947,
        1.41989,
        1.41149,
        1.37573,
        1.39822,
        1.41215,
        1.40831,
        1.3963,
        1.40494,
        1.44128,
        1.45288,
        1.43741,
        1.46075,
        1.47224,
        1.48646,
        1.49797,
        1.49661,
        1.50249,
        1.47461,
        1.52528,
        1.50181,
        1.49206,
        1.45431,
        1.57448,
        1.54078,
        1.50803,
        1.4944,
        1.49021,
        1.37181,
        1.32824,
        1.41397,
        1.51695,
        1.55814,
        1.62111,
        1.64618,
        1.6583,
        1.66502,
        1.64747,
        1.66969,
        1.7015,
        1.70385,
        1.74527,
        1.76341,
        1.74317,
        1.71834,
        1.70777,
        1.71538,
        1.69007,
        1.70372,
        1.70669,
        1.72014,
        1.73623,
        1.71972,
        1.72478,
        1.69927,
        1.6757,
        1.65097,
        1.65492,
        1.68848,
        1.73553,
        1.72005,
        1.69586,
        1.69631,
        1.71468,
        1.69503,
        1.69533,
        1.68899,
        1.70671,
        1.70991,
        1.68744,
        1.67378,
        1.7096,
        1.6971,
        1.66065,
        1.69111,
        1.69689,
        1.69152,
        1.67064,
        1.68399,
        1.68254,
        1.62569,
        1.63355,
        1.62487,
        1.59656,
        1.61295,
        1.60149,
        1.59928,
        1.59613,
        1.58481,
        1.56729,
        1.57237,
        1.55921,
        1.49746,
        1.5021,
        1.51426,
        1.48907,
        1.49606,
        1.50267,
        1.48614,
        1.46612,
        1.44539,
        1.42243,
        1.44816,
        1.42029,
        1.4044,
        1.38604,
        1.37555,
        1.3844,
        1.38121,
        1.37642,
        1.37438,
        1.35851,
        1.33704,
        1.34032,
        1.3456,
        1.37078,
        1.35764,
        1.34469,
        1.33594,
        1.30845,
        1.30319,
        1.3041,
        1.3407,
        1.32478,
        1.35955,
        1.34302,
        1.32769,
        1.34776,
        1.3875,
        1.35394,
        1.34736,
        1.35729,
        1.37974,
        1.36576,
        1.36907,
        1.3796,
        1.38653,
        1.40167,
        1.37794,
        1.36876,
        1.39499,
        1.39976,
        1.38027,
        1.38144,
        1.38509,
        1.3965,
        1.40971,
        1.42208,
        1.42607,
        1.41356,
        1.39655,
        1.39092,
        1.4053,
        1.39606,
        1.39587,
        1.41172,
        1.4051,
        1.3892,
        1.39109,
        1.39589,
        1.40168,
        1.39998,
        1.42737,
        1.441,
        1.41951,
        1.41966,
        1.4232,
        1.40631,
        1.39261,
        1.39523,
        1.3995,
        1.42705,
        1.42826,
        1.43006,
        1.41914,
        1.41148,
        1.41705,
        1.40903,
        1.42934,
        1.43134,
        1.42627,
        1.42905,
        1.43129,
        1.4281,
        1.43694,
        1.44033,
        1.46499,
        1.46321,
        1.47539,
        1.48139,
        1.47183,
        1.44954,
        1.47712,
        1.49979,
        1.50128,
        1.52623,
        1.55097,
        1.569,
        1.54803,
        1.52275,
        1.53867,
        1.56375,
        1.55413,
        1.5246,
        1.54364,
        1.52608,
        1.51706,
        1.56004,
        1.55817,
        1.5649,
        1.56469,
        1.53771,
        1.53195,
        1.5615,
        1.57185,
        1.58941,
        1.58304,
        1.58054,
        1.5837,
        1.59016,
        1.58094,
        1.5616,
        1.57563,
        1.55671,
        1.55751,
        1.56807,
        1.56421,
        1.58082,
        1.52348,
        1.59799,
        1.60123,
        1.57771,
        1.58082,
        1.56642,
        1.55286,
        1.70873,
        1.85084,
        1.83536,
        1.66013,
        1.91099,
        1.74792,
        1.82274,
        1.70884,
        1.68164,
        1.65448,
        1.5874,
        1.60124,
        1.63454,
        1.61198,
        1.59501,
        1.57371,
        1.57438,
        1.58756,
        1.54365,
        1.54945,
        1.5676,
        1.56133,
        1.56308,
        1.54427,
        1.50875,
        1.52884,
        1.52139,
        1.5454,
        1.55105,
        1.52355,
        1.52085,
        1.50003,
        1.51115,
        1.5091,
        1.51807,
        1.51087,
        1.53795,
        1.51549,
        1.477,
        1.48515,
        1.48297,
        1.50348,
        1.51996,
        1.49446,
        1.47561,
        1.46037,
        1.45369,
        1.45584,
        1.45656,
        1.4561,
        1.44258,
        1.442,
        1.43653,
        1.40489,
        1.39611,
        1.41214,
        1.43664,
        1.43555,
        1.4233,
        1.42527,
        1.43612,
        1.43632,
        1.43049,
        1.41456,
        1.40404,
        1.4216,
        1.42212,
        1.4187,
        1.41998,
        1.41763,
        1.40232,
        1.41385,
        1.42104,
        1.42026,
        1.43249,
        1.42378,
        1.42087,
        1.41355,
        1.39388,
        1.41111,
        1.41059,
        1.42999,
        1.43396,
        1.46692,
        1.43592,
        1.42568,
        1.44516,
        1.43544,
        1.44732,
        1.4415,
        1.45467,
        1.4895,
        1.46152,
        1.43589,
        1.43064,
        1.42612,
        1.44787,
        1.46554,
        1.47806,
        1.46208,
        1.44904,
        1.45374,
        1.46898,
        1.44966,
        1.44099,
        1.46513,
        1.46514,
        1.4517,
        1.47593,
        1.48325,
        1.48999,
        1.45171,
        1.44473,
        1.47007,
        1.45348,
        1.47771,
        1.43891,
        1.45258,
        1.47304,
        1.46514,
        1.45517,
        1.44121,
        1.43966,
        1.41873,
        1.43952,
        1.42557,
        1.39879,
        1.42072,
        1.44549,
        1.45973,
        1.44057,
        1.44967,
        1.43573,
        1.41096,
        1.43115,
        1.42124,
        1.46664,
        1.43326,
        1.43154,
        1.44276,
        1.41571,
        1.42619,
        1.42552,
        1.44612,
        1.47177,
        1.43481,
        1.43451,
        1.45712,
        1.43316,
        1.46845,
        1.44362,
        1.45013,
        1.42031,
        1.42739,
        1.40424,
        1.453,
        1.47353,
        1.47091,
        1.44732,
        1.4328,
        1.4394,
        1.45069,
        1.42994,
        1.43525,
        1.42879,
        1.44974,
        1.42579,
        1.42252,
        1.43365,
        1.47637,
        1.47751,
        1.45007,
        1.44512,
        1.43259,
        1.4747,
        1.49694,
        1.49006,
        1.49894,
        1.48762,
        1.5306,
        1.45673,
        1.4611,
        1.5697,
        1.65334,
        1.53698,
        2.1331,
        1.86092,
        1.62571,
        1.5302,
        1.56363,
        1.61593,
        1.61611,
        1.6699,
        1.68618,
        1.67912,
        1.69379,
        1.7516,
        1.77036,
        1.78099,
        1.78793,
        1.7804,
        1.79537,
        1.78569,
        1.78378,
        1.79552,
        1.81712,
        1.8109,
        1.7975,
        1.79429,
        1.77476,
        1.75569,
        1.74775,
        1.76237,
        1.73946,
        1.73497,
        1.69947,
        1.67603,
        1.62027,
        1.64698,
        1.67732,
        1.69787,
        1.72749,
        1.75501,
        1.75244,
        1.75489,
        1.74385,
        1.74078,
        1.73987,
        1.72194,
        1.74335,
        1.7401,
        1.7615,
        1.75355,
        1.74503,
        1.73815,
        1.7781,
        1.73231,
        1.72265,
        1.74228,
        1.756,
        1.70389,
        1.6983,
        1.72931,
        1.70042,
        1.68724,
        1.68456,
        1.67072,
        1.64464,
        1.63489,
        1.63643,
        1.63163,
        1.64001,
        1.62826,
        1.62023,
        1.62539,
        1.64315,
        1.59386,
        1.58812,
        1.59831,
        1.61442,
        1.60259,
        1.59567,
        1.56253,
        1.55898,
        1.554,
        1.53519,
        1.53825,
        1.52835,
        1.52247,
        1.52905,
        1.50447,
        1.45252,
        1.46779,
        1.48837,
        1.46946,
        1.45924,
        1.47473,
        1.47616,
        1.49409,
        1.48208,
        1.47954,
        1.47033,
        1.49073,
        1.47892,
        1.47608,
        1.47012,
        1.47603,
        1.4636,
        1.47657,
        1.4731,
        1.48936,
        1.50833,
        1.51263,
        1.48483,
        1.47697,
        1.47371,
        1.48081,
        1.48276,
        1.48586,
        1.50224,
        1.49118,
        1.48372,
        1.47743,
        1.48349,
        1.51684,
        1.50129,
        1.48594,
        1.50936,
        1.50355,
        1.50382,
        1.51352,
        1.51038,
        1.52056,
        1.53031,
        1.50655,
        1.51264,
        1.51279,
        1.52893,
        1.53958,
        1.5139,
        1.52492,
        1.51784,
        1.53224,
        1.55156,
        1.54937,
        1.55268,
        1.57886,
        1.59627,
        1.62234,
        1.60107,
        1.59396,
        1.61805,
        1.62363,
        1.62763,
        1.58852,
        1.61163,
        1.63786,
        1.61964,
        1.63215,
        1.6453,
        1.63678,
        1.64144,
        1.65959,
        1.66739,
        1.66742,
        1.66508,
        1.6764,
        1.68375,
        1.70161,
        1.69809,
        1.69457,
        1.73042,
        1.7459,
        1.73989,
        1.75412,
        1.74038,
        1.73763,
        1.75068,
        1.77031,
        1.77544,
        1.77963,
        1.77457,
        1.78769,
        1.79112,
        1.7845,
        1.77905,
        1.77356,
        1.75747,
        1.74523,
        1.78072,
        1.78002,
        1.82403,
        1.80263,
        1.79673,
        1.80779,
        1.81147,
        1.83636,
        1.86054,
        1.87069,
        1.88727,
        1.86547,
        1.84174,
        1.88047,
        1.87992,
        1.87527,
        1.88523,
        1.87943,
        1.87881,
        1.86952,
        1.87366,
        1.88114,
        1.8653,
        1.87113,
        1.88127,
        1.89168,
        1.85672,
        1.87124,
        1.87156,
        1.8652,
        1.87454,
        1.83972,
        1.84914,
        1.83502,
        1.8522,
        1.84891,
        1.8138,
        1.8093,
        1.80801,
        1.79107,
        1.80155,
        1.80842,
        1.78643,
        1.75272,
        1.76435,
        1.77392,
        1.77185,
        1.76379,
        1.75517,
        1.72163,
        1.72725,
        1.74793,
        1.74623,
        1.76277,
        1.77032,
        1.77788,
        1.75547,
        1.74995,
        1.74143,
        1.77561,
        1.77809,
        1.76401,
        1.77588,
        1.76734,
        1.74536,
        1.72609,
        1.73512,
        1.7538,
        1.77059,
        1.75179,
        1.7169,
        1.73169,
        1.76232,
        1.71491,
        1.70525,
        1.71918,
        1.74219,
        1.72947,
        1.73072,
        1.73061,
        1.71119,
        1.70788,
        1.71613,
        1.7237,
        1.73718,
        1.75275,
        1.72339,
        1.70533,
        1.7205,
        1.71076,
        1.71261,
        1.69303,
        1.67187,
        1.67514,
        1.72052,
        1.68094,
        1.668,
        1.66564,
        1.67636,
        1.65896,
        1.6269,
        1.61289,
        1.6381,
        1.59235,
        1.62345,
        1.61977,
        1.64815,
        1.66714,
        1.61563,
        1.63203,
        1.6237,
        1.62607,
        1.65462,
        1.67104,
        1.65287,
        1.65438,
        1.67713,
        1.67341,
        1.63576,
        1.64562,
        1.66136,
        1.63673,
        1.62678,
        1.62291,
        1.62261,
        1.61539,
        1.60827,
        1.60097,
        1.62279,
        1.61486,
        1.62169,
        1.6121,
        1.60837,
        1.59722,
        1.59678,
        1.59479,
        1.57459,
        1.5864,
        1.5819,
        1.58167,
        1.5645,
        1.55785,
        1.576,
        1.48793,
        1.54695,
        1.54188,
        1.49566,
        1.51269,
        1.50167,
        1.51669,
        1.51933,
        1.50732,
        1.49468,
        1.49525,
        1.47995,
        1.47218,
        1.4843,
        1.47441,
        1.45805,
        1.45277,
        1.4527,
        1.47377,
        1.45919,
        1.45543,
        1.47014,
        1.4659,
        1.46402,
        1.4453,
        1.48219,
        1.46425,
        1.43955,
        1.43704,
        1.46992,
        1.43817,
        1.44038,
        1.42623,
        1.44291,
        1.44411,
        1.4265,
        1.44478,
        1.44783,
        1.45623,
        1.41992,
        1.39553,
        1.4184,
        1.44481,
        1.42151,
        1.41469,
        1.4352,
        1.47873,
        1.47682,
        1.44574,
        1.45854,
        1.4916,
        1.49389,
        1.50154,
        1.45842,
        1.53135,
        1.69211,
        1.71653,
        1.72251,
        1.64469,
        1.61305,
        1.63652,
        1.56413,
        1.55248,
        1.63118,
        1.5851,
        1.51798,
        1.53814,
        1.53777,
        1.47332,
        1.49885,
        1.51004,
        1.47071,
        1.45805,
        1.45309,
        1.47368,
        1.44892,
        1.46658,
        1.43127,
        1.45392,
        1.46802,
        1.4846,
        1.47135,
        1.48613,
        1.48789,
        1.51618,
        1.4846,
        1.51211,
        1.53019,
        1.52221,
        1.52356,
        1.57551,
        1.55302,
        1.59923,
        1.5915,
        1.51485,
        1.52843,
        1.54628,
        1.58418,
        1.52999,
        1.53413,
        1.57307,
        1.62968,
        1.67358,
        1.69591,
        1.70702,
        1.71013,
        1.68237,
        1.6812,
        1.67514,
        1.71434,
        1.76002,
        1.7355,
        1.74256,
        1.72972,
        1.7324,
        1.78499,
        1.76105,
        1.77594,
        1.74777,
        1.77126,
        1.75283,
        1.75443,
        1.76023,
        1.78781,
        1.77874,
        1.73684,
        1.64104,
        1.56994,
        1.51501,
        1.53554,
        1.58942,
        1.61712,
        1.6814,
        1.68899,
        1.69516,
        1.66804,
        1.70753,
        1.69411,
        1.6951,
        1.71279,
        1.72125,
        1.70158,
        1.70505,
        1.68375,
        1.68252,
        1.70688,
        1.71662,
        1.69875,
        1.65162,
        1.62977,
        1.64553,
        1.64543,
        1.6367,
        1.60932,
        1.62854,
        1.58892,
        1.57247,
        1.57856,
        1.54919,
        1.54765,
        1.56884,
        1.54363,
        1.51402,
        1.50208,
        1.50506,
        1.50157,
        1.48438,
        1.47804,
        1.45488,
        1.46199,
        1.45012,
        1.43994,
        1.44303,
        1.4349,
        1.43402,
        1.39154,
        1.39692,
        1.42501,
        1.42243,
        1.41993,
        1.41004,
        1.39163,
        1.37914,
        1.3953,
        1.40123,
        1.39783,
        1.40229,
        1.38708,
        1.38758,
        1.40928,
        1.40073,
        1.38672,
        1.39067,
        1.39917,
        1.4024,
        1.39266,
        1.40071,
        1.39595,
        1.43149,
        1.43835,
        1.45427,
        1.441,
        1.44783,
        1.46043,
        1.40978,
        1.43392,
        1.46522,
        1.49536,
        1.50421,
        1.45369,
        1.43806,
        1.42675,
        1.48117,
        1.49381,
        1.50004,
        1.47921,
        1.51045,
        1.48877,
        1.49404,
        1.50541,
        1.49125,
        1.51747,
        1.50847,
        1.53533,
        1.53189,
        1.5166,
        1.51408,
        1.51916,
        1.53152,
        1.53097,
        1.54106,
        1.56352,
        1.55315,
        1.52801,
        1.55849,
        1.567,
        1.59152,
        1.59994,
        1.56109,
        1.57482,
        1.61414,
        1.56587,
        1.58852,
        1.61046,
        1.58111,
        1.62189,
        1.60032,
        1.56797,
        1.57683,
        1.55578,
        1.54234,
        1.53385,
        1.56372,
        1.57554,
        1.53081,
        1.58242,
        1.54925,
        1.54601,
        1.54994,
        1.55283,
        1.54944,
        1.57952,
        1.67835,
        1.58703,
        1.62761,
        1.66056,
        1.72991,
        1.66832,
        1.66692,
        1.68932,
        1.62918,
        1.80713,
        1.81377,
        1.84403,
        1.80691,
        1.88469,
        1.78324,
        1.70586,
        1.60794,
        1.66431,
        1.65724,
        1.55438,
        1.59629,
        1.5366,
        1.53972,
        1.58777,
        1.54683,
        1.55212,
        1.50867,
        1.50822,
        1.52787,
        1.52087,
        1.52712,
        1.51682,
        1.47657,
        1.49135,
        1.49725,
        1.48452,
        1.4716,
        1.48357,
        1.46377,
        1.46416,
        1.44918,
        1.4353,
        1.43209,
        1.4182,
        1.39096,
        1.38911,
        1.38465,
        1.39073,
        1.39615,
        1.3818,
        1.36192,
        1.38536,
        1.38793,
        1.40503,
        1.40686,
        1.40607,
        1.36705,
        1.40415,
        1.41062,
        1.39195,
        1.4129,
        1.37172,
        1.3868,
        1.3671,
        1.36111,
        1.37538,
        1.37114,
        1.40211,
        1.37659,
        1.36044,
        1.36133,
        1.37766,
        1.3752,
        1.37448,
        1.38777,
        1.39109,
        1.39755,
        1.39193,
        1.38444,
        1.37999,
        1.42449,
        1.39048,
        1.35809,
        1.45236,
        1.44159,
        1.40253,
        1.3872,
        1.38856,
        1.40666,
        1.43438,
        1.44164,
        1.38043,
        1.37822,
        1.43572,
        1.44387,
        1.41977,
        1.39062,
        1.42524,
        1.42795,
        1.42477,
        1.40593,
        1.42365,
        1.43236,
        1.44123,
        1.40154,
        1.40682,
        1.41215,
        1.41451,
        1.40078,
        1.43163,
        1.45299,
        1.44135,
        1.42618,
        1.40251,
        1.389,
        1.42868,
        1.41582,
        1.39696,
        1.41583,
        1.43502,
        1.41838,
        1.42221,
        1.41911,
        1.43393,
        1.42964,
        1.41194,
        1.41659,
        1.40832,
        1.39689,
        1.4082,
        1.37282,
        1.4146,
        1.42807,
        1.42219,
        1.40636,
        1.42062,
        1.42829,
        1.42949,
        1.44541,
        1.42339,
        1.42873,
        1.41456,
        1.39439,
        1.40204,
        1.40641,
        1.41206,
        1.41148,
        1.42982,
        1.43648,
        1.40716,
        1.41865,
        1.42301,
        1.42638,
        1.43563,
        1.39832,
        1.42094,
        1.41663,
        1.41061,
        1.4303,
        1.42403,
        1.42529,
        1.43756,
        1.40981,
        1.38684,
        1.40414,
        1.42211,
        1.42467,
        1.40639,
        1.3994,
        1.41427,
        1.42014,
        1.43151,
        1.39018,
        1.41843,
        1.39658,
        1.38372,
        1.39775,
        1.35257,
        1.35637,
        1.39482,
        1.39136,
        1.41164,
        1.40615,
        1.40615,
        1.39914,
        1.4052,
        1.43432,
        1.42305,
        1.43104,
        1.41502,
        1.41946,
        1.40439,
        1.40478,
        1.41143,
        1.42043,
        1.43518,
        1.42191,
        1.43836,
        1.44547,
        1.44639,
        1.42307,
        1.46784,
        1.46887,
        1.44158,
        1.45091,
        1.42303,
        1.4271,
        1.41099,
        1.40775,
        1.43696,
        1.40543,
        1.38288,
        1.40357,
        1.40299,
        1.42117,
        1.42724,
        1.42713,
        1.41112,
        1.42806,
        1.41011,
        1.40781,
        1.43038,
        1.43257,
        1.44136,
        1.44677,
        1.43233,
        1.4193,
        1.42415,
        1.39139,
        1.40303,
        1.4031,
        1.42315,
        1.41858,
        1.41813,
        1.42697,
        1.41803,
        1.39665,
        1.4206,
        1.43476,
        1.42191,
        1.41257,
        1.41448,
        1.37432,
        1.40089,
        1.41199,
        1.42314,
        1.42485,
        1.39829,
        1.38901,
        1.40028,
        1.4156,
        1.41599,
        1.3957,
        1.37113,
        1.37134,
        1.39279,
        1.38877,
        1.39017,
        1.39795,
        1.39124,
        1.3946,
        1.38677,
        1.39608,
        1.38744,
        1.40682,
        1.40527,
        1.36392,
        1.38502,
        1.36205,
        1.37944,
        1.37379,
        1.37654,
        1.38833,
        1.38169,
        1.39841,
        1.41521,
        1.37482,
        1.36771,
        1.39329,
        1.3663,
        1.36688,
        1.39921,
        1.37016,
        1.37386,
        1.37117,
        1.39767,
        1.41535,
        1.38071,
        1.3768,
        1.4044,
        1.39545,
        1.39789,
        1.41097,
        1.40668,
        1.42047,
        1.42906,
        1.40665,
        1.40129,
        1.37114,
        1.3889,
        1.4323,
        1.41581,
        1.4353,
        1.41304,
        1.44081,
        1.4465,
        1.45044,
        1.4439,
        1.43226,
        1.39146,
        1.38227,
        1.40995,
        1.41661,
        1.42116,
        1.46277,
        1.43665,
        1.45509,
        1.47077,
        1.47112,
        1.46684,
        1.43106,
        1.39843,
        1.43496,
        1.44295,
        1.44811,
        1.43282,
        1.42913,
        1.45115,
        1.46617,
        1.50305,
        1.46055,
        1.4391,
        1.41493,
        1.46015,
        1.46462,
        1.46553,
        1.44821,
        1.4692,
        1.4263,
        1.46348,
        1.44948,
        1.48228,
        1.46121,
        1.49474,
        1.47646,
        1.46636,
        1.47802,
        1.48266,
        1.48322,
        1.51019,
        1.49209,
        1.49713,
        1.49188,
        1.5066,
        1.50028,
        1.55959,
        1.57247,
        1.54746,
        1.54051,
        1.52922,
        1.53221,
        1.54973,
        1.49479,
        1.57621,
        1.54044,
        1.5785,
        1.57328,
        1.55755,
        1.58356,
        1.54883,
        1.50573,
        1.56323,
        1.56953,
        1.55397,
        1.54951,
        1.6004,
        1.62752,
        1.60587,
        1.60972,
        1.64365,
        1.65319,
        1.63445,
        1.62676,
        1.63788,
        1.64204,
        1.64069,
        1.60651,
        1.64223,
        1.68784,
        1.65894,
        1.65193,
        1.60383,
        1.60022,
        1.55573,
        1.58059,
        1.61521,
        1.61356,
        1.5885,
        1.61311,
        1.6254,
        1.60464,
        1.62773,
        1.61602,
        1.57597,
        1.59716,
        1.60119,
        1.58367,
        1.6112,
        1.59604,
        1.60447,
        1.55929,
        1.57877,
        1.58653,
        1.55931,
        1.53561,
        1.55252,
        1.58208,
        1.60409,
        1.58831,
        1.56532,
        1.57378,
        1.58624,
        1.51464,
        1.52732,
        1.53638,
        1.51481,
        1.51742,
        1.48742,
        1.51367,
        1.46889,
        1.488,
        1.50302,
        1.4708,
        1.475,
        1.4547,
        1.45211,
        1.4761,
        1.4718,
        1.47872,
        1.48445,
        1.45965,
        1.4508,
        1.4341,
        1.4,
        1.43423,
        1.40373,
        1.43619,
        1.40796,
        1.38429,
        1.37663,
        1.41973,
        1.39515,
        1.36493,
        1.3861,
        1.36584,
        1.35718,
        1.39546,
        1.38946,
        1.38246,
        1.37593,
        1.36323,
        1.35151,
        1.34419,
        1.36891,
        1.36466,
        1.37098,
        1.37947,
        1.34287,
        1.37851,
        1.3864,
        1.36482,
        1.36165,
        1.38453,
        1.37535,
        1.40251,
        1.37679,
        1.36641,
        1.39129,
        1.38059,
        1.35557,
        1.35287,
        1.39541,
        1.37234,
        1.37011,
        1.37499,
        1.38175,
        1.39498,
        1.382,
        1.38967,
        1.35513,
        1.34229,
        1.37403,
        1.4203,
        1.37702,
        1.36883,
        1.35786,
        1.39982,
        1.33976,
        1.35029,
        1.33204,
        1.36855,
        1.33627,
        1.38803,
        1.33635,
        1.39339,
        1.40243,
        1.38733,
        1.36641,
        1.37375,
        1.34869,
        1.3653,
        1.38269,
        1.40013,
        1.39491,
        1.39547,
        1.35606,
        1.36875,
        1.34966,
        1.37802,
        1.393,
        1.39813,
        1.36931,
        1.3791,
        1.37254,
        1.38336,
        1.35311,
        1.35548,
        1.38544,
        1.40848,
        1.37706,
        1.37462,
        1.39214,
        1.37526,
        1.37304,
        1.37332,
        1.35779,
        1.39028,
        1.38488,
        1.38333,
        1.42504,
        1.41263,
        1.38039,
        1.39469,
        1.3994,
        1.40349,
        1.4378,
        1.42119,
        1.40989,
        1.43431,
        1.42108,
        1.42062,
        1.38248,
        1.4036,
        1.41942,
        1.42775,
        1.41742,
        1.42251,
        1.40704,
        1.46044,
        1.43524,
        1.42257,
        1.39715,
        1.41,
        1.40216,
        1.40047,
        1.44229,
        1.44616,
        1.44515,
        1.45098,
        1.44859,
        1.39453,
        1.43517,
        1.43088,
        1.43591,
        1.44022,
        1.44832,
        1.47706,
        1.46584,
        1.45727,
        1.43442,
        1.44969,
        1.46044,
        1.4689,
        1.4711,
        1.46875,
        1.47752,
        1.49144,
        1.48715,
        1.46794,
        1.45218,
        1.4822,
        1.44463,
        1.46006,
        1.42783,
        1.47281,
        1.46196,
        1.46693,
        1.46327,
        1.47282,
        1.46353,
        1.47615,
        1.47744,
        1.49178,
        1.51915,
        1.47078,
        1.47571,
        1.48516,
        1.50977,
        1.51635,
        1.50402,
        1.48619,
        1.47782,
        1.46259,
        1.51731,
        1.4663,
        1.47074,
        1.44901,
        1.47714,
        1.46827,
        1.49956,
        1.47902,
        1.45083,
        1.43894,
        1.48502,
        1.49453,
        1.51333,
        1.46028,
        1.44097,
        1.41073,
        1.45087,
        1.46091,
        1.46363,
        1.46228,
        1.47739,
        1.48714,
        1.47847,
        1.45578,
        1.46254,
        1.43597,
        1.46176,
        1.43427,
        1.47091,
        1.46234,
        1.4894,
        1.50563,
        1.47206,
        1.45416,
        1.43663,
        1.47427,
        1.47487,
        1.46147,
        1.45285,
        1.50399,
        1.44493,
        1.44538,
        1.42728,
        1.44,
        1.44673,
        1.43053,
        1.42188,
        1.44409,
        1.43007,
        1.43011,
        1.46765,
        1.44109,
        1.44056,
        1.46032,
        1.46384,
        1.44138,
        1.41806,
        1.45415,
        1.42086,
        1.41727,
        1.42836,
        1.42453,
        1.44543,
        1.39746,
        1.37001,
        1.39744,
        1.46273,
        1.5026,
        1.43769,
        1.45408,
        1.5001,
        1.48838,
        1.50342,
        1.41556,
        1.43776,
        1.53804,
        1.53384,
        1.52637,
        1.4631,
        1.46292,
        1.47861,
        1.45393,
        1.45185,
        1.54455,
        1.51517,
        1.51217,
        1.50759,
        1.47487,
        1.51317,
        1.51282,
        1.45755,
        1.4792,
        1.45257,
        1.50524,
        1.47278,
        1.51107,
        1.4748,
        1.52265,
        1.51529,
        1.4862,
        1.50473,
        1.54249,
        1.5633,
        1.65526,
        1.55752,
        1.62621,
        1.65919,
        1.73292,
        1.72028,
        1.62461,
        1.81305,
        1.72003,
        1.93161,
        2.16761,
        2.31568,
        2.19015,
        2.02179,
        2.27821,
        2.12609,
        2.01655,
        1.87479,
        1.86796,
        1.92648,
        1.94521,
        1.92595,
        1.88259,
        1.88348,
        1.85607,
        1.85203,
        1.83621,
        1.88317,
        1.84195,
        1.76352,
        1.66436,
        1.7406,
        1.66773,
        1.74603,
        1.7745,
        1.77423,
        1.82022,
        1.79766,
        1.82119,
        1.78625,
        1.79337,
        1.76445,
        1.8181,
        1.81614,
        1.82838,
        1.76115,
        1.80721,
        1.81997,
        1.83179,
        1.85026,
        1.86794,
        1.83172,
        1.81793,
        1.82209,
        1.84104,
        1.87284,
        1.8755,
        1.80298,
        1.80279,
        1.748,
        1.76458,
        1.76921,
        1.75345,
        1.76512,
        1.75787,
        1.73802,
        1.69673,
        1.6855,
        1.6954,
        1.71782,
        1.74229,
        1.68365,
        1.69227,
        1.68479,
        1.64317,
        1.70025,
        1.72301,
        1.68609,
        1.64618,
        1.63225,
        1.59129,
        1.61958,
        1.63942,
        1.60929,
        1.61491,
        1.58828,
        1.62027,
        1.59876,
        1.55397,
        1.54157,
        1.53952,
        1.52064,
        1.54672,
        1.52466,
        1.48024,
        1.50327,
        1.48521,
        1.50181,
        1.51192,
        1.53842,
        1.50685,
        1.52717,
        1.50076,
        1.4928,
        1.52413,
        1.57261,
        1.51553,
        1.52611,
        1.50433,
        1.52184,
        1.54575,
        1.54794,
        1.52865,
        1.51729,
        1.56733,
        1.54081,
        1.49119,
        1.52261,
        1.57508,
        1.5618,
        1.51715,
        1.53546,
        1.53824,
        1.4871,
        1.46568,
        1.55699,
        1.55728,
        1.52267,
        1.48495,
        1.49484,
        1.4671,
        1.51674,
        1.51631,
        1.55976,
        1.47813,
        1.45604,
        1.49168,
        1.48336,
        1.43528,
        1.4828,
        null,
        1.44419,
        1.45789,
        1.45708,
        1.47977,
        1.48619,
        1.49995,
        1.50403,
        1.44079,
        1.44657,
        1.44503,
        1.42307,
        1.44664,
        1.42941,
        1.39557,
        1.39463,
        1.39335,
        1.41151,
        1.4137,
        1.43243,
        1.46028,
        1.40317,
        1.3714,
        1.41454,
        1.44089,
        1.44664,
        1.42803,
        1.40717,
        1.44413,
        1.46292,
        1.45835,
        1.44781,
        1.43335,
        1.47302,
        1.47225,
        1.45148,
        1.45748,
        1.44074,
        1.45098,
        1.4676,
        1.52035,
        1.4986,
        1.48784,
        1.5251,
        1.5827,
        1.63429,
        1.63569,
        1.69379,
        1.74877,
        2.03348,
        2.43006,
        1.42732,
        1.62875,
        1.67627,
        1.61508,
        1.5597,
        1.56691,
        1.58531,
        1.56848,
        1.54048,
        1.52905,
        1.51305,
        1.54508,
        1.54024,
        1.52187,
        1.50147,
        1.4765,
        1.47492,
        1.47445,
        1.44741,
        1.44155,
        1.46763,
        1.45735,
        1.45948,
        1.48874,
        1.48296,
        1.4789,
        1.50714,
        1.48237,
        1.49003,
        1.46044,
        1.47429,
        1.50549,
        1.50261,
        1.54091,
        1.55922,
        1.53761,
        1.53319,
        1.54395,
        1.57449,
        1.61742,
        1.59497,
        1.5305,
        1.54635,
        1.55393,
        1.61615,
        1.64633,
        1.57643,
        1.50635,
        1.51322,
        1.59681,
        1.61762,
        1.66899,
        1.6218,
        1.67328,
        1.34876,
        1.42553,
        1.50728,
        1.64596,
        1.6511,
        1.63145,
        1.68584,
        1.70002,
        1.66639,
        1.68832,
        1.74458,
        1.71975,
        1.72739,
        1.7589,
        1.76936,
        1.77747,
        1.80884,
        1.78021,
        1.78052,
        1.77258,
        1.7624,
        1.80013,
        1.77501,
        1.76884,
        1.76937,
        1.76462,
        1.78504,
        1.77682,
        1.75246,
        1.75081,
        1.74439,
        1.7873,
        1.81446,
        1.82217,
        1.80427,
        1.7884,
        1.78287,
        1.7983,
        1.79826,
        1.78639,
        1.78255,
        1.80929,
        1.80784,
        1.77802,
        1.7897,
        1.77138,
        1.78022,
        1.79371,
        1.76815,
        1.75247,
        1.75095,
        1.71791,
        1.68014,
        1.68025,
        1.65619,
        1.63845,
        1.64381,
        1.64735,
        1.62333,
        1.60065,
        1.62698,
        1.62713,
        1.6387,
        1.61792,
        1.60109,
        1.59156,
        1.59228,
        1.61074,
        1.62031,
        1.60378,
        1.56461,
        1.55679,
        1.54709,
        1.54293,
        1.54952,
        1.53588,
        1.51181,
        1.51316,
        1.53358,
        1.51996,
        1.48678,
        1.47292,
        1.48495,
        1.49191,
        1.48615,
        1.47114,
        1.46387,
        1.47558,
        1.45987,
        1.44061,
        1.44759,
        1.43672,
        1.43731,
        1.43214,
        1.42612,
        1.44326,
        1.44701,
        1.41744,
        1.37443,
        1.37714,
        1.36787,
        1.37794,
        1.37384,
        1.39251,
        1.3792,
        1.39175,
        1.36952,
        1.36098,
        1.37529,
        1.36455,
        1.33245,
        1.35327,
        1.35274,
        1.35757,
        1.35205,
        1.35508,
        1.33934,
        1.36448,
        1.35641,
        1.34319,
        1.36148,
        1.36146,
        1.35489,
        1.37838,
        1.37621,
        1.36971,
        1.38056,
        1.39477,
        1.3862,
        1.3946,
        1.39651,
        1.36902,
        1.37136,
        1.38297,
        1.39382,
        1.41561,
        1.4136,
        1.35631,
        1.38267,
        1.40114,
        1.39522,
        1.40895,
        1.40496,
        1.41154,
        1.41388,
        1.42347,
        1.41974,
        1.44116,
        1.43378,
        1.42601,
        1.42165,
        1.43815,
        1.42699,
        1.4108,
        1.43304,
        1.42185,
        1.39477,
        1.3953,
        1.40258,
        1.41755,
        1.41053,
        1.40267,
        1.41107,
        1.39291,
        1.37563,
        1.38968,
        1.40453,
        1.37928,
        1.37619,
        1.39651,
        1.41254,
        1.38841,
        1.39346,
        1.34911,
        1.37012,
        1.39408,
        1.42586,
        1.39553,
        1.37875,
        1.40983,
        1.42424,
        1.39956,
        1.38276,
        1.37887,
        1.3728,
        1.37284,
        1.37153,
        1.37071,
        1.36968,
        1.41331,
        1.42534,
        1.39009,
        1.39475,
        1.38585,
        1.39611,
        1.4089,
        1.40356,
        1.39924,
        1.38624,
        1.37433,
        1.39177,
        1.37947,
        1.37638,
        1.38666,
        1.382,
        1.37338,
        1.36796,
        1.36786,
        1.36241,
        1.35793,
        1.36718,
        1.38914,
        1.3571,
        1.35371,
        1.35289,
        1.32994,
        1.33482,
        1.35523,
        1.36709,
        1.33687,
        1.33333,
        1.37379,
        1.35377,
        1.33896,
        1.33379,
        1.34328,
        1.36682,
        1.37341,
        1.34535,
        1.34434,
        1.34297,
        1.34592,
        1.34995,
        1.35187,
        1.32708,
        1.30695,
        1.34741,
        1.35067,
        1.34675,
        1.34668,
        1.33248,
        1.34821,
        1.33502,
        1.335,
        1.35202,
        1.33834,
        1.35543,
        1.35405,
        1.34606,
        1.36101,
        1.34546,
        1.34894,
        1.36389,
        1.37089,
        1.37774,
        1.3689,
        1.35893,
        1.38908,
        1.37641,
        1.3756,
        1.39835,
        1.37396,
        1.38317,
        1.39013,
        1.38873,
        1.39116,
        1.37687,
        1.35526,
        1.36656,
        1.38215,
        1.41244,
        1.37183,
        1.38435,
        1.40144,
        1.41936,
        1.41259,
        1.42011,
        1.43485,
        1.43019,
        1.40868,
        1.36751,
        1.39548,
        1.42019,
        1.39001,
        1.39756,
        1.38624,
        1.39667,
        1.40608,
        1.3957,
        1.40065,
        1.40299,
        1.39054,
        1.41297,
        1.37379,
        1.35875,
        1.36662,
        1.36985,
        1.36585,
        1.36943,
        1.35809,
        1.37739,
        1.35418,
        1.34963,
        1.3555,
        1.36825,
        1.37236,
        1.37885,
        1.37587,
        1.36781,
        1.36478,
        1.35161,
        1.36244,
        1.39071,
        1.35639,
        1.3573,
        1.35536,
        1.38111,
        1.35949,
        1.36571,
        1.3617,
        1.35713,
        1.38948,
        1.39025,
        1.4046,
        1.38954,
        1.37075,
        1.38742,
        1.41005,
        1.40792,
        1.40858,
        1.39484,
        1.4093,
        1.40238,
        1.42991,
        1.4144,
        1.43561,
        1.40554,
        1.38241,
        1.40226,
        1.40065,
        1.40437,
        1.39177,
        1.38532,
        1.43323,
        1.41885,
        1.40115,
        1.42691,
        1.39833,
        1.3873,
        1.39301,
        1.38401,
        1.36533,
        1.38405,
        1.39239,
        1.36707,
        1.37392,
        1.3853,
        1.35916,
        1.37958,
        1.38308,
        1.34673,
        1.337,
        1.31275,
        1.32668,
        1.32086,
        1.33372,
        1.33037,
        1.32561,
        1.35311,
        1.36515,
        1.33083,
        1.3226,
        1.3164,
        1.33238,
        1.32466,
        1.34436,
        1.35277,
        1.32309,
        1.29471,
        1.3048,
        1.34799,
        1.34705,
        1.31457,
        1.33386,
        1.34671,
        1.37785,
        1.34256,
        1.34811,
        1.37875,
        1.361,
        1.36068,
        1.35992,
        1.36105,
        1.38185,
        1.4163,
        1.39607,
        1.36702,
        1.38228,
        1.39151,
        1.38236,
        1.36633,
        1.37667,
        1.38053,
        1.39532,
        1.39283,
        1.39612,
        1.3968,
        1.41448,
        1.41895,
        1.38053,
        1.40156,
        1.39738,
        1.45243,
        1.49182,
        1.45935,
        1.40458,
        1.38777,
        1.48371,
        1.57431,
        1.84939,
        1.80239,
        1.60412,
        1.57239,
        1.69611,
        1.60878,
        1.61732,
        1.56636,
        1.58975,
        1.64423,
        1.68339,
        1.71074,
        1.70656,
        1.70955,
        1.74971,
        1.78204,
        1.76512,
        1.77485,
        1.72088,
        1.73455,
        1.76382,
        1.77954,
        1.76924,
        1.79242,
        1.75607,
        1.77502,
        1.77115,
        1.74301,
        1.72349,
        1.72406,
        1.77573,
        1.74783,
        1.76121,
        1.77747,
        1.79728,
        1.77584,
        1.75401,
        1.76324,
        1.74924,
        1.74172,
        1.73884,
        1.7401,
        1.72462,
        1.72448,
        1.73604,
        1.73626,
        1.70369,
        1.70395,
        1.71671,
        1.722,
        1.69936,
        1.67622,
        1.69341,
        1.66404,
        1.66473,
        1.66648,
        1.67914,
        1.65043,
        1.6394,
        1.59279,
        1.61378,
        1.57483,
        1.56839,
        1.56236,
        1.57172,
        1.54173,
        1.54828,
        1.5545,
        1.54047,
        1.50937,
        1.48767,
        1.48655,
        1.50875,
        1.50129,
        1.4901,
        1.44981,
        1.46709,
        1.46052,
        1.47944,
        1.44479,
        1.44259,
        1.42944,
        1.44551,
        1.45066,
        1.45741,
        1.45708,
        1.4535,
        1.4584,
        1.45509,
        1.46278,
        1.46209,
        1.47486,
        1.4759,
        1.45689,
        1.43212,
        1.42329,
        1.42681,
        1.40744,
        1.42459,
        1.43062,
        1.44353,
        1.43421,
        1.44785,
        1.43338,
        1.42082,
        1.41148,
        1.43003,
        1.42813,
        1.45536,
        1.45696,
        1.43898,
        1.44382,
        1.40677,
        1.40184,
        1.42644,
        1.40413,
        1.39675,
        1.40151,
        1.39278,
        1.37239,
        1.36151,
        1.3978,
        1.40832,
        1.37448,
        1.3813,
        1.3884,
        1.4,
        1.38216,
        1.37279,
        1.36648,
        1.36261,
        1.37328,
        1.38676,
        1.39235,
        1.39442,
        1.38951,
        1.37364,
        1.38886,
        1.37794,
        1.36447,
        1.36772,
        1.38345,
        1.36829,
        1.38715,
        1.37599,
        1.35064,
        1.36951,
        1.35448,
        1.37278,
        1.35516,
        1.38657,
        1.38688,
        1.3545,
        1.35585,
        1.35182,
        1.32943,
        1.32112,
        1.37601,
        1.38237,
        1.37244,
        1.33286,
        1.32023,
        1.35422,
        1.34501,
        1.35962,
        1.36785,
        1.34317,
        1.35922,
        1.3598,
        1.35496,
        1.33844,
        1.36124,
        1.36656,
        1.37909,
        1.37434,
        1.38195,
        1.37134,
        1.36797,
        1.37063,
        1.38386,
        1.37445,
        1.37147,
        1.34395,
        1.34423,
        1.34234,
        1.3461,
        1.342,
        1.33197,
        1.2967,
        1.31635,
        1.33822,
        1.34455,
        1.36073,
        1.34274,
        1.32637,
        1.36458,
        1.34793,
        1.34909,
        1.35061,
        1.37136,
        1.35085,
        1.37814,
        1.43066,
        1.4263,
        1.39439,
        1.34459,
        1.36835,
        1.39615,
        1.32188,
        1.32998,
        1.3498,
        1.35031,
        1.38331,
        1.41113,
        1.35437,
        1.31041,
        1.29799,
        1.32344,
        1.36751,
        1.34088,
        1.34062,
        1.34354,
        1.38235,
        1.43212,
        1.36246,
        1.43649,
        1.43997,
        1.3995,
        1.44008,
        1.41552,
        1.28271,
        1.34425,
        1.36974,
        1.38383,
        1.34552,
        1.32191,
        1.35646,
        1.42617,
        1.42578,
        1.33547,
        1.41791,
        1.42037,
        1.42249,
        1.39462,
        1.3754,
        1.33677,
        1.3693,
        1.3584,
        1.38135,
        1.43143,
        1.33793,
        1.3527,
        1.38395,
        1.39763,
        1.40485,
        1.38057,
        1.40626,
        1.38657,
        1.3599,
        1.31153,
        1.36303,
        1.41904,
        1.38123,
        1.37218,
        1.36157,
        1.32828,
        1.39731,
        1.41568,
        1.4176,
        1.40008,
        1.38792,
        1.39109,
        1.40841,
        1.40211,
        1.37218,
        1.3843,
        1.41947,
        1.44737,
        1.3885,
        1.36534,
        1.35777,
        1.38436,
        1.38949,
        1.34582,
        1.40532,
        1.4107,
        1.34358,
        1.34712,
        1.38745,
        1.36147,
        1.37083,
        1.40176,
        1.3652,
        1.39056,
        1.37871,
        1.38646,
        1.40397,
        1.41426,
        1.39188,
        1.38335,
        1.42457,
        1.41177,
        1.38576,
        1.36537,
        1.3832,
        1.3417,
        1.34668,
        1.37828,
        1.35671,
        1.30477,
        1.33779,
        1.33643,
        1.33053,
        1.30901,
        1.34842,
        1.33283,
        1.29155,
        1.33448,
        1.34,
        1.34633,
        1.31554,
        1.31534,
        1.32362,
        1.35929,
        1.37739,
        1.33743,
        1.32464,
        1.33965,
        1.32503,
        1.33527,
        1.32357,
        1.31429,
        1.3224,
        1.30564,
        1.31354,
        1.32477,
        1.33144,
        1.31445,
        1.32046,
        1.29858,
        1.29957,
        1.32067,
        1.31036,
        1.29904,
        1.31414,
        1.32601,
        1.3235,
        1.33786,
        1.30004,
        1.31437,
        1.30348,
        1.29735,
        1.32551,
        1.342,
        1.32414,
        1.34921,
        1.34013,
        1.31282,
        1.27834,
        1.30469,
        1.34766,
        1.3297,
        1.33242,
        1.36115,
        1.34394,
        1.36178,
        1.34992,
        1.37505,
        1.37768,
        1.35994,
        1.35578,
        1.34276,
        1.34091,
        1.33016,
        1.34552,
        1.36266,
        1.36591,
        1.33807,
        1.34148,
        1.34811,
        1.36869,
        1.37828,
        1.37797,
        1.37436,
        1.33964,
        1.34944,
        1.35184,
        1.33484,
        1.35282,
        1.39387,
        1.38244,
        1.35558,
        1.36507,
        1.3832,
        1.39485,
        1.4042,
        1.4177,
        1.39645,
        1.41483,
        1.38248,
        1.39524,
        1.39631,
        1.39637,
        1.365,
        1.39537,
        1.42528,
        1.4454,
        1.42188,
        1.39917,
        1.47092,
        1.46251,
        1.41651,
        1.44885,
        1.42872,
        1.47321,
        1.4974,
        1.47176,
        1.43718,
        1.43788,
        1.50979,
        1.46998,
        1.49399,
        1.4453,
        1.44941,
        1.46124,
        1.48592,
        1.5218,
        1.52746,
        1.53359,
        1.54905,
        1.50374,
        1.5705,
        1.66377,
        1.51072,
        1.551,
        1.47939,
        1.45428,
        1.60731,
        1.59922,
        1.49807,
        1.79112,
        1.81716,
        1.68667,
        1.60048,
        1.74543,
        1.73072,
        1.7767,
        1.86818,
        1.77639,
        1.68504,
        1.71087,
        1.81248,
        1.84445,
        1.80472,
        1.81574,
        1.83547,
        1.8477,
        1.82851,
        1.79326,
        1.85625,
        1.88583,
        1.83886,
        1.80841,
        1.82949,
        1.84395,
        1.78144,
        1.77218,
        1.82272,
        1.80505,
        1.76443,
        1.71468,
        1.74635,
        1.74714,
        1.73127,
        1.72877,
        1.75992,
        1.74271,
        1.72346,
        1.71639,
        1.68328,
        1.68696,
        1.69833,
        1.67638,
        1.71301,
        1.69664,
        1.70571,
        1.68714,
        1.66245,
        1.6513,
        1.61961,
        1.64445,
        1.64089,
        1.6239,
        1.59788,
        1.60949,
        1.56879,
        1.57182,
        1.57931,
        1.57704,
        1.54441,
        1.52803,
        1.51395,
        1.51869,
        1.54197,
        1.50797,
        1.49787,
        1.4535,
        1.44471,
        1.45889,
        1.48393,
        1.49669,
        1.46954,
        1.44987,
        1.45666,
        1.46682,
        1.45979,
        1.41562,
        1.44646,
        1.44413,
        1.40426,
        1.40448,
        1.40065,
        1.41935,
        1.36777,
        1.36147,
        1.39715,
        1.43724,
        1.42861,
        1.39354,
        1.40132,
        1.36163,
        1.35527,
        1.36283,
        1.35418,
        1.37171,
        1.37999,
        1.38526,
        1.382,
        1.37138,
        1.34714,
        1.34995,
        1.3613,
        1.32062,
        1.34435,
        1.33197,
        1.33523,
        1.344,
        1.33342,
        1.35577,
        1.35471,
        1.33929,
        1.30347,
        1.27287,
        1.28229,
        1.32789,
        1.35196,
        1.33397,
        1.32821,
        1.31178,
        1.32007,
        1.33433,
        1.30616,
        1.30623,
        1.34239,
        1.35707,
        1.35662,
        1.32105,
        1.34773,
        1.38503,
        1.33421,
        1.33041,
        1.31667,
        1.36304,
        1.27358,
        1.27256,
        1.2892,
        1.31085,
        1.30478,
        1.31819,
        1.31697,
        1.30997,
        1.32128,
        1.32926,
        1.32324,
        1.32365,
        1.34557,
        1.35658,
        1.33746,
        1.32956,
        1.33725,
        1.35422,
        1.34555,
        1.34586,
        1.34057,
        1.3382,
        1.3408,
        1.35915,
        1.37584,
        1.387,
        1.37059,
        1.40588,
        1.38478,
        1.35602,
        1.28888,
        1.3027,
        1.35696,
        1.37288,
        1.33849,
        1.37735,
        1.3815,
        1.31439,
        1.33531,
        1.36825,
        1.37248,
        1.39762,
        1.40147,
        1.36672,
        1.35987,
        1.36845,
        1.33898,
        1.33033,
        1.31679,
        1.28385,
        1.30894,
        1.34452,
        1.39821,
        1.35071,
        1.33829,
        1.41068,
        1.43686,
        1.41456,
        1.34248,
        1.32091,
        1.33887,
        1.32866,
        1.38486,
        1.35116,
        1.3641,
        1.34935,
        1.3525,
        1.32127,
        1.30401,
        1.36669,
        1.36529,
        1.33449,
        1.33501,
        1.32989,
        1.33555,
        1.31904,
        1.35334,
        1.33752,
        1.33052,
        1.36228,
        1.3424,
        1.33279,
        1.3419,
        1.35271,
        1.36131,
        1.36295,
        1.40878,
        1.3923,
        1.38049,
        1.38734,
        1.41023,
        1.40751,
        1.37976,
        1.35698,
        1.35814,
        1.3812,
        1.35991,
        1.35788,
        1.3641,
        1.37341,
        1.35743,
        1.37342,
        1.35737,
        1.39268,
        1.35345,
        1.34058,
        1.35702,
        1.28778,
        1.30761,
        1.37873,
        1.36368,
        1.36914,
        1.39771,
        1.40003,
        1.3945,
        1.31274,
        1.31402,
        1.37662,
        1.34848,
        1.35224,
        1.34565,
        1.32642,
        1.29323,
        1.34255,
        1.28225,
        1.38472,
        1.40062,
        1.34715,
        1.33868,
        1.34884,
        1.35364,
        1.34387,
        1.32579,
        1.31233,
        1.31476,
        1.32969,
        1.32342,
        1.32081,
        1.31349,
        1.33974,
        1.34191,
        1.33887,
        1.34863,
        1.33579,
        1.35651,
        1.36287,
        1.36774,
        1.30596,
        1.31445,
        1.35565,
        1.40423,
        1.34648,
        1.32559,
        1.32358,
        1.38639,
        1.38416,
        1.34771,
        1.33624,
        1.30103,
        1.37866,
        1.37721,
        1.29441,
        1.32815,
        1.30814,
        1.40821,
        1.38341,
        1.3127,
        1.34423,
        1.39016,
        1.35529,
        1.3397,
        1.39428,
        1.36633,
        1.38286,
        1.34565,
        1.34797,
        1.35558,
        1.34906,
        1.47787,
        1.45678,
        1.32812,
        1.39359,
        1.5762,
        1.58443,
        1.52538,
        1.69532,
        2.027,
        1.66795,
        1.5888,
        1.47435,
        1.53976,
        1.51715,
        1.45755,
        1.46527,
        1.36617,
        1.34844,
        1.41768,
        1.45079,
        1.44496,
        1.39285,
        1.45257,
        1.4111,
        1.36203,
        1.47459,
        1.42191,
        1.44426,
        1.37736,
        1.4024,
        1.40585,
        1.40003,
        1.41639,
        1.42611,
        1.42159,
        1.3826,
        1.339,
        1.32277,
        1.3652,
        1.33973,
        1.32696,
        1.38339,
        1.35919,
        1.36656,
        1.33626,
        1.37038,
        1.39918,
        1.45067,
        1.46194,
        1.38682,
        1.4108,
        1.43817,
        1.37835,
        1.38962,
        1.39675,
        1.40753,
        1.38568,
        1.36865,
        1.34832,
        1.39587,
        1.4537,
        1.46177,
        1.42248,
        1.4328,
        1.40691,
        1.4007,
        1.37329,
        1.41233,
        1.48063,
        1.40004,
        1.48079,
        1.46864,
        1.4517,
        1.48725,
        1.49266,
        1.52964,
        1.44031,
        1.57178,
        1.53026,
        1.57454,
        1.47946,
        1.54486,
        1.43672,
        1.40912,
        1.52968,
        1.40831,
        1.39416,
        1.38425,
        1.53652,
        1.35444,
        1.43888,
        1.43982,
        1.44881,
        1.46455,
        1.51676,
        1.55746,
        1.47175,
        1.48084,
        1.49865,
        1.47269,
        1.4912,
        1.47704,
        1.48888,
        1.49158,
        1.48213,
        1.49369,
        1.48343,
        1.4634,
        1.50247,
        1.48546,
        1.50465,
        1.50484,
        1.49926,
        1.46159,
        1.44991,
        1.48571,
        1.52563,
        1.54831,
        1.4928,
        1.48862,
        1.51009,
        1.54883,
        1.55581,
        1.55026,
        1.48665,
        1.54174,
        1.54053,
        1.53372,
        1.55974,
        1.58037,
        1.59926,
        1.55817,
        1.50531,
        1.53927,
        1.52315,
        1.59996,
        1.56544,
        1.59304,
        1.61094,
        1.5786,
        1.57064,
        1.56434,
        1.40077,
        1.57976,
        1.84831,
        1.81612,
        1.72614,
        1.54526,
        1.7568,
        1.73521,
        1.79414,
        1.83918,
        1.76334,
        1.63992,
        1.71505,
        1.85214,
        1.77992,
        1.76901,
        1.80675,
        1.79538,
        1.83555,
        1.76541,
        1.71915,
        1.73859,
        1.72562,
        1.82757,
        1.76834,
        1.75077,
        1.73964,
        1.78065,
        1.76399,
        1.76689,
        1.76322,
        1.82003,
        1.83389,
        1.78526,
        1.75176,
        1.74236,
        1.78356,
        1.77768,
        1.76892,
        1.71394,
        1.73002,
        1.77815,
        1.67833,
        1.59827,
        1.68373,
        1.73377,
        1.74437,
        1.7426,
        1.70773,
        1.72185,
        1.73619,
        1.71313,
        1.67095,
        1.66944,
        1.63731,
        1.63561,
        1.62757,
        1.5904,
        1.65257,
        1.63543,
        1.62129,
        1.57817,
        1.54353,
        1.57302,
        1.52938,
        1.54878,
        1.51401,
        1.54353,
        1.51638,
        1.57731,
        1.60208,
        1.52933,
        1.48309,
        1.48852,
        1.43719,
        1.40199,
        1.42108,
        1.40457,
        1.43864,
        1.46811,
        1.53118,
        1.51478,
        1.46974,
        1.44268,
        1.45577,
        1.45714,
        1.4689,
        1.41648,
        1.35254,
        1.36056,
        1.43828,
        1.4256,
        1.39718,
        1.42889,
        1.42231,
        1.46037,
        1.44139,
        1.41685,
        1.43329,
        1.42704,
        1.46891,
        1.42043,
        1.45718,
        1.47405,
        1.4579,
        1.4017,
        1.40212,
        1.40501,
        1.41678,
        1.39049,
        1.34206,
        1.32421,
        1.41591,
        1.43031,
        1.3881,
        1.3605,
        1.37309,
        1.38489,
        1.38473,
        1.4065,
        1.3794,
        1.36936,
        1.38474,
        1.44045,
        1.41357,
        1.33483,
        1.37933,
        1.41561,
        1.38554,
        1.38302,
        1.39911,
        1.35931,
        1.42318,
        1.38737,
        1.29456,
        1.34204,
        1.44521,
        1.36556,
        1.35223,
        1.3603,
        1.37949,
        1.41568,
        1.41773,
        1.42044,
        1.35176,
        1.42219,
        1.46213,
        1.43641,
        1.41109,
        1.4089,
        1.43966,
        1.37867,
        1.3568,
        1.42733,
        1.41683,
        1.42702,
        1.41243,
        1.38387,
        1.38767,
        1.46915,
        1.45431,
        1.41349,
        1.3853,
        1.39051,
        1.49244,
        1.46567,
        1.40444,
        1.42406,
        1.43546,
        1.4216,
        1.42416,
        1.4039,
        1.41873,
        1.41758,
        1.38755,
        1.38547,
        1.38967,
        1.39457,
        1.37906,
        1.36178,
        1.33526,
        1.39861,
        1.42192,
        1.41241,
        1.40589,
        1.40795,
        1.41199,
        1.40002,
        1.38981,
        1.40076,
        1.38269,
        1.3909,
        1.40445,
        1.37902,
        1.35211,
        1.39761,
        1.40057,
        1.43736,
        1.35747,
        1.36542,
        1.38353,
        1.37728,
        1.36307,
        1.35455,
        1.35767,
        1.36507,
        1.38618,
        1.3628,
        1.35398,
        1.32902,
        1.39151,
        1.32623,
        1.32576,
        1.34352,
        1.28516,
        1.25453,
        1.4135,
        1.3676,
        1.37416,
        1.27775,
        1.35796,
        1.36988,
        1.34682,
        1.35329,
        1.33857,
        1.3547,
        1.35347,
        1.38048,
        1.33493,
        1.36042,
        1.34868,
        1.34678,
        1.32734,
        1.3758,
        1.41551,
        1.35696,
        1.31245,
        1.33564,
        1.33173,
        1.30983,
        1.35142,
        1.37928,
        1.35007,
        1.35079,
        1.29533,
        1.34135,
        1.40601,
        1.42071,
        1.35452,
        1.34546,
        1.35017,
        1.2658,
        1.29598,
        1.27699,
        1.28418,
        1.38379,
        1.40477,
        1.40481,
        1.43938,
        1.42656,
        1.35366,
        1.35948,
        1.34412,
        1.38552,
        1.33459,
        1.33743,
        1.32832,
        1.38988,
        1.38919,
        1.36034,
        1.33247,
        1.33594,
        1.33857,
        1.35623,
        1.41384,
        1.39945,
        1.39271,
        1.34297,
        1.34938,
        1.42324,
        1.37496,
        1.40869,
        1.38043,
        1.42957,
        1.43544,
        1.25559,
        1.24278,
        1.37073,
        1.39335,
        1.30517,
        1.41126,
        1.21449,
        1.22836,
        1.38186,
        1.62163,
        1.43527,
        1.54989,
        1.46543,
        1.49869,
        1.43861,
        1.3328,
        1.23907,
        1.34953,
        1.33968,
        1.31127,
        1.39046,
        1.28677,
        1.29698,
        1.27379,
        1.28788,
        1.27696,
        1.2475,
        1.30762,
        1.26885,
        1.30939,
        1.32558,
        1.3028,
        1.30325,
        1.30278,
        1.31365,
        1.31219,
        1.30863,
        1.36121,
        1.35076,
        1.3255,
        1.33884,
        1.34778,
        1.3253,
        1.33876,
        1.34112,
        1.40242,
        1.4001,
        1.35937,
        1.38734,
        1.33467,
        1.3364,
        1.34366,
        1.34209,
        1.31379,
        1.29565,
        1.42517,
        1.4206,
        1.39067,
        1.40105,
        1.3901,
        1.32623,
        1.36475,
        1.38671,
        1.37107,
        1.35797,
        1.30628,
        1.32642,
        1.32844,
        1.45058,
        1.44232,
        1.42783,
        1.40306,
        1.43657,
        1.45548,
        1.40513,
        1.36236,
        1.40384,
        1.38551,
        1.41767,
        1.46958,
        1.39357,
        1.41312,
        1.38276,
        1.45527,
        1.46227,
        1.42599,
        1.4774,
        1.46484,
        1.39409,
        1.41365,
        1.40682,
        1.38339,
        1.35071,
        1.39234,
        1.4579,
        1.45859,
        1.47691,
        1.42518,
        1.40335,
        1.43737,
        1.46074,
        1.48383,
        1.43906,
        1.42886,
        1.47287,
        1.50505,
        1.45433,
        1.44128,
        1.44593,
        1.45621,
        1.46123,
        1.44502,
        1.39978,
        1.4427,
        1.55174,
        1.54298,
        1.49243,
        1.41515,
        1.46424,
        1.46232,
        1.37964,
        1.34162,
        1.42013,
        1.49119,
        1.41669,
        1.4199,
        1.39539,
        1.46024,
        1.4388,
        1.3821,
        1.43427,
        1.45033,
        1.36867,
        1.4317,
        1.45171,
        1.40758,
        1.41067,
        1.36717,
        1.40376,
        1.40949,
        1.4079,
        1.3693,
        1.41391,
        1.44724,
        1.45004,
        1.37742,
        1.38689,
        1.44884,
        1.45676,
        1.5624,
        1.43303,
        1.35503,
        1.3623,
        1.43082,
        1.49221,
        1.45057,
        1.40176,
        1.40791,
        1.41067,
        1.34051,
        1.32864,
        1.44691,
        1.46546,
        1.46984,
        1.37037,
        1.35284,
        1.42719,
        1.40021,
        1.41406,
        1.34224,
        1.33456,
        1.3713,
        1.43803,
        1.46872,
        1.44438,
        1.36361,
        1.38226,
        1.39419,
        1.44773,
        1.38963,
        1.35648,
        1.40319,
        1.38076,
        1.41775,
        1.40546,
        1.39416,
        1.49868,
        1.39103,
        1.40511,
        1.38603,
        1.34402,
        1.38128,
        1.48333,
        1.51289,
        1.39302,
        1.42461,
        1.32257,
        1.62081,
        1.7659,
        1.64023,
        1.70091,
        1.68404,
        1.67684,
        1.76251,
        1.76644,
        1.66942,
        1.69649,
        1.65244,
        1.79551,
        1.87325,
        1.71109,
        1.6551,
        1.68921,
        1.8693,
        1.88106,
        1.90015,
        1.84432,
        1.70899,
        1.72545,
        1.80825,
        1.89373,
        1.84666,
        1.83932,
        1.83559,
        1.86977,
        1.7706,
        1.85525,
        1.81237,
        1.83381,
        1.80982,
        1.79238,
        1.77003,
        1.81306,
        1.91946,
        1.99863,
        1.87083,
        1.76737,
        1.75066,
        1.69784,
        1.69748,
        1.73169,
        2.05679,
        1.93486,
        1.8842,
        1.80159,
        1.78353,
        1.77149,
        1.74459,
        1.7842,
        1.81015,
        1.74842,
        1.7406,
        1.76558,
        1.70972,
        1.71357,
        1.69231,
        1.75324,
        1.72113,
        1.75113,
        1.64606,
        1.62436,
        1.65653,
        1.62983,
        1.63575,
        1.62097,
        1.60932,
        1.64659,
        1.61487,
        1.63782,
        null,
        1.35062,
        1.29793,
        1.29051,
        1.34988,
        1.37342,
        1.34465,
        1.36745,
        1.41742,
        1.41588,
        1.40507,
        1.42553,
        1.38919,
        1.39425,
        1.39697,
        1.42577,
        1.4419,
        1.37847,
        1.3557,
        1.38921,
        1.41472,
        1.42361,
        1.40274,
        1.38151,
        1.39544,
        1.38651,
        1.36715,
        1.36955,
        1.40898,
        1.40146,
        1.38041,
        1.3828,
        1.4027,
        1.41188,
        1.38954,
        1.36315,
        1.35675,
        1.40138,
        1.39507,
        1.37799,
        1.39151,
        1.41804,
        1.39777,
        1.39056,
        1.44296,
        1.42966,
        1.39433,
        1.38537,
        1.38037,
        1.41872,
        1.40654,
        1.39576,
        1.38154,
        1.38053,
        1.376,
        1.37591,
        1.37865,
        1.37564,
        1.37447,
        1.38608,
        1.33184,
        1.31379,
        1.33137,
        1.33468,
        1.33365,
        1.33107,
        1.34207,
        1.34552,
        1.32873,
        1.35065,
        1.34579,
        1.33475,
        1.34972,
        1.35674,
        1.33517,
        1.31844,
        1.31645,
        1.2804,
        1.24442,
        1.29268,
        1.34754,
        1.38237,
        1.33857,
        1.35607,
        1.34934,
        1.32622,
        1.35144,
        1.3589,
        1.34197,
        1.30054,
        1.31807,
        1.32682,
        1.4011,
        1.35873,
        1.32328,
        1.3811,
        1.3659,
        1.34735,
        1.28879,
        1.26603,
        1.40239,
        1.361,
        1.33303,
        1.34161,
        1.33613,
        1.35209,
        1.38443,
        1.4031,
        1.41066,
        1.40986,
        1.39812,
        1.37336,
        1.33319,
        1.37175,
        1.43259,
        1.49639,
        1.37577,
        1.38704,
        1.4902,
        1.50937,
        1.52422,
        1.48166,
        1.39465,
        1.38776,
        1.352,
        1.35665,
        1.35509,
        1.39138,
        1.34742,
        1.31044,
        1.39864,
        1.45284,
        1.36195,
        1.35468,
        1.36161,
        1.34762,
        1.37692,
        1.36993,
        1.33444,
        1.3645,
        1.37899,
        1.38059,
        1.38246,
        1.36899,
        1.31565,
        1.34647,
        1.35561,
        1.37755,
        1.39407,
        1.41611,
        1.41341,
        1.41044,
        1.43341,
        1.42016,
        1.42226,
        1.42706,
        1.38141,
        1.46692,
        1.4556,
        1.41775,
        1.42254,
        1.44165,
        1.47092,
        1.43091,
        1.45135,
        1.45802,
        1.42903,
        1.43188,
        1.45873,
        1.52418,
        1.52483,
        1.4836,
        1.43144,
        1.44037,
        1.50459,
        1.52472,
        1.37458,
        1.33301,
        1.73338,
        1.63504,
        1.61456,
        1.70701,
        1.74862,
        1.58506,
        1.72521,
        1.77961,
        1.7791,
        1.76975,
        1.76546,
        1.77193,
        1.82959,
        1.86038,
        1.85836,
        1.89263,
        1.86922,
        1.87859,
        1.87116,
        1.78911,
        1.84782,
        1.88358,
        1.86713,
        1.87646,
        1.83565,
        1.7948,
        1.85193,
        1.93051,
        1.86185,
        1.87758,
        1.90889,
        1.91129,
        1.90125,
        1.83435,
        1.83386,
        1.875,
        1.88331,
        1.88393,
        1.93084,
        1.86857,
        1.86241,
        1.86179,
        1.89302,
        1.87038,
        1.80572,
        1.82141,
        1.95009,
        1.94771,
        1.87927,
        1.84153,
        1.97648,
        1.90234,
        2.22316,
        2.33895,
        1.67103,
        1.5265,
        1.42003,
        1.57004,
        1.57774,
        1.4875,
        1.58541,
        1.60546,
        1.60725,
        1.61245,
        1.54625,
        1.5342,
        1.49309,
        1.47179,
        1.49967,
        1.54157,
        1.52787,
        1.47698,
        1.47232,
        1.46899,
        1.43679,
        1.44882,
        1.47633,
        1.42609,
        1.40975,
        1.40301,
        1.44281,
        1.4688,
        1.47928,
        1.52614,
        1.42859,
        1.44852,
        1.54644,
        1.52276,
        1.52087,
        1.48282,
        1.49051,
        1.49564,
        1.53061,
        1.53302,
        1.53055,
        1.53522,
        1.56959,
        1.66548,
        1.66406,
        1.52484,
        1.55356,
        1.6821,
        1.88212,
        1.75296,
        1.5907,
        1.48993,
        1.52408,
        1.61069,
        1.56897,
        1.51728,
        1.45496,
        1.44298,
        1.5015,
        1.48455,
        1.44548,
        1.45756,
        1.44138,
        1.41337,
        1.44587,
        1.42972,
        1.41901,
        1.42406,
        1.43394,
        1.42189,
        1.39903,
        1.39412,
        1.40123,
        1.43329,
        1.38748,
        1.39275,
        1.39848,
        1.40264,
        1.4085,
        1.41215,
        1.4116,
        1.40495,
        1.40305,
        1.40348,
        1.41757,
        1.42692,
        1.43576,
        1.43562,
        1.42118,
        1.40548,
        1.38778,
        1.41844,
        1.47428,
        1.45529,
        1.40936,
        1.38494,
        1.4274,
        1.4147,
        1.43055,
        1.43909,
        1.43781,
        1.44519,
        1.44694,
        1.45706,
        1.44078,
        1.4256,
        1.43458,
        1.44031,
        1.42322,
        1.40835,
        1.43365,
        1.46577,
        1.44158,
        1.46556,
        1.44846,
        1.46727,
        1.44899,
        1.42547,
        1.45164,
        1.42687,
        1.42115,
        1.45173,
        1.43789,
        1.42912,
        1.42248,
        1.42892,
        1.4133,
        1.3803,
        1.37512,
        1.38439,
        1.38502,
        1.41648,
        1.39877,
        1.38154,
        1.38051,
        1.40688,
        1.41401,
        1.39468,
        1.39288,
        1.36668,
        1.39429,
        1.38554,
        1.36399,
        1.39359,
        1.36373,
        1.36368,
        1.35048,
        1.37177,
        1.38459,
        1.40212,
        1.37727,
        1.4004,
        1.40675,
        1.37042,
        1.35511,
        1.34224,
        1.34107,
        1.36798,
        1.36756,
        1.35744,
        1.36565,
        1.35082,
        1.34546,
        1.36757,
        1.38355,
        1.40742,
        1.35876,
        1.37866,
        1.33471,
        1.3317,
        1.33501,
        1.31827,
        1.31215,
        1.2979,
        1.34817,
        1.34471,
        1.32895,
        1.36228,
        1.34027,
        1.33876,
        1.35872,
        1.3715,
        1.38362,
        1.38689,
        1.34902,
        1.34835,
        1.37266,
        1.36955,
        1.36725,
        1.37217,
        1.37414,
        1.35533,
        1.39411,
        1.38594,
        1.34914,
        1.37415,
        1.38941,
        1.40939,
        1.39978,
        1.40646,
        1.4021,
        1.43254,
        1.40815,
        1.42198,
        1.43424,
        1.40598,
        1.43061,
        1.42908,
        1.38832,
        1.38636,
        1.41164,
        1.40627,
        1.40884,
        1.4023,
        1.42699,
        1.43224,
        1.41362,
        1.40792,
        1.43877,
        1.39765,
        1.40128,
        1.43252,
        1.41662,
        1.41715,
        1.42353,
        1.43395,
        1.43606,
        1.42865,
        1.43872,
        1.42685,
        1.41256,
        1.40306,
        1.40869,
        1.39714,
        1.39888,
        1.43532,
        1.41421,
        1.41197,
        1.41041,
        1.40681,
        1.39659,
        1.40779,
        1.41699,
        1.41265,
        1.3966,
        1.42472,
        1.41502,
        1.4224,
        1.41737,
        1.40661,
        1.43869,
        1.44318,
        1.42261,
        1.41695,
        1.42766,
        1.44525,
        1.44639,
        1.43101,
        1.43507,
        1.42298,
        1.43465,
        1.43401,
        1.41485,
        1.44046,
        1.40742,
        1.43371,
        1.40711,
        1.41298,
        1.38559,
        1.37845,
        1.37004,
        1.35889,
        1.41032,
        1.41303,
        1.41391,
        1.36441,
        1.35651,
        1.34825,
        1.36907,
        1.39073,
        1.38001,
        1.35448,
        1.37771,
        1.36894,
        1.37998,
        1.37592,
        1.36346,
        1.37789,
        1.37795,
        1.35927,
        1.36507,
        1.37456,
        1.40612,
        1.37856,
        1.36386,
        1.40079,
        1.37647,
        1.38399,
        1.37875,
        1.38777,
        1.38873,
        1.36512,
        1.40075,
        1.4169,
        1.41438,
        1.39655,
        1.38709,
        1.37649,
        1.38397,
        1.41691,
        1.37703,
        1.3616,
        1.3719,
        1.39454,
        1.38926,
        1.39278,
        1.35702,
        1.3908,
        1.38378,
        1.3792,
        1.40012,
        1.35866,
        1.36631,
        1.35791,
        1.33392,
        1.37121,
        1.40994,
        1.37767,
        1.36792,
        1.3734,
        1.39369,
        1.41264,
        1.33518,
        1.33396,
        1.36245,
        1.3792,
        1.39663,
        1.41415,
        1.37621,
        1.38588,
        1.38933,
        1.40584,
        1.41603,
        1.43503,
        1.44556,
        1.45347,
        1.43407,
        1.42974,
        1.42795,
        1.46589,
        1.44586,
        1.40678,
        1.45157,
        1.43784,
        1.48901,
        1.40635,
        1.31941,
        1.34848,
        1.36076,
        1.85068,
        1.75069,
        1.57786,
        1.59146,
        1.59142,
        1.63109,
        1.61036,
        1.65422,
        1.68521,
        1.71995,
        1.78214,
        1.74703,
        1.76298,
        1.79,
        1.79413,
        1.81126,
        1.77358,
        1.80095,
        1.78515,
        1.76344,
        1.78267,
        1.79522,
        1.83998,
        1.83401,
        1.83518,
        1.83977,
        1.84328,
        1.82867,
        1.8188,
        1.8153,
        1.84595,
        1.8678,
        1.84941,
        1.83185,
        1.85947,
        1.82815,
        1.80256,
        1.77713,
        1.76566,
        1.76002,
        1.77118,
        1.75949,
        1.75493,
        1.73408,
        1.71114,
        1.73764,
        1.71561,
        1.70879,
        1.70885,
        1.71513,
        1.711,
        1.7034,
        1.68276,
        1.67384,
        1.65689,
        1.64527,
        1.6359,
        1.61471,
        1.60696,
        1.6074,
        1.61494,
        1.58282,
        1.58206,
        1.59281,
        1.57595,
        1.57412,
        1.58854,
        1.53602,
        1.53573,
        1.54077,
        1.532,
        1.52365,
        1.49196,
        1.49307,
        1.47198,
        1.48114,
        1.4696,
        1.46856,
        1.47284,
        1.44131,
        1.40603,
        1.34822,
        1.36392,
        1.37998,
        1.36543,
        1.35225,
        1.33198,
        1.32458,
        1.30854,
        1.3074,
        1.31817,
        1.3525,
        1.34939,
        1.35122,
        1.33252,
        1.33392,
        1.33171,
        1.34583,
        1.36066,
        1.34705,
        1.3087,
        1.31762,
        1.31185,
        1.33616,
        1.34468,
        1.30677,
        1.33411,
        1.36166,
        1.29883,
        1.31071,
        1.31336,
        1.31867,
        1.37583,
        1.39733,
        1.38849,
        1.3691,
        1.35339,
        1.38525,
        1.32613,
        1.33833,
        1.3569,
        1.36451,
        1.33605,
        1.32426,
        1.37333,
        1.336,
        1.33611,
        1.34705,
        1.3261,
        1.33193,
        1.36051,
        1.37623,
        1.35229,
        1.34757,
        1.37369,
        1.36472,
        1.34895,
        1.34552,
        1.37748,
        1.42732,
        1.37563,
        1.32924,
        1.37475,
        1.38458,
        1.38506,
        1.3985,
        1.3813,
        1.3514,
        1.31304,
        1.35322,
        1.3199,
        1.29965,
        1.31894,
        1.33055,
        1.38934,
        1.3524,
        1.35155,
        1.37717,
        1.37252,
        1.40343,
        1.35637,
        1.31324,
        1.36228,
        1.40276,
        1.38079,
        1.38582,
        1.36052,
        1.37172,
        1.37195,
        1.38424,
        1.36996,
        1.39886,
        1.34851,
        1.34352,
        1.37327,
        1.39496,
        1.34185,
        1.34642,
        1.30216,
        1.35567,
        1.36206,
        1.34273,
        1.33732,
        1.36012,
        1.36722,
        1.35208,
        1.31951,
        1.3476,
        1.36907,
        1.36076,
        1.35132,
        1.34054,
        1.35551,
        1.37719,
        1.38786,
        1.36619,
        1.34956,
        1.33866,
        1.35719,
        1.34066,
        1.31821,
        1.34571,
        1.32635,
        1.30342,
        1.32253,
        1.34178,
        1.34949,
        1.32733,
        1.33983,
        1.31945,
        1.32012,
        1.32252,
        1.33445,
        1.36334,
        1.35211,
        1.35039,
        1.36562,
        1.34335,
        1.34902,
        1.34078,
        1.35932,
        1.33838,
        1.3257,
        1.32868,
        1.33261,
        1.32715,
        1.31583,
        1.29582,
        1.30871,
        1.32186,
        1.35064,
        1.32245,
        1.31744,
        1.36192,
        1.34727,
        1.31757,
        1.32345,
        1.32862,
        1.33144,
        1.37808,
        1.33227,
        1.32343,
        1.3192,
        1.30461,
        1.33703,
        1.3431,
        1.32646,
        1.33467,
        1.34276,
        1.34266,
        1.33181,
        1.34742,
        1.33161,
        1.29025,
        1.3133,
        1.31287,
        1.35092,
        1.31441,
        1.32746,
        1.36332,
        1.36404,
        1.37817,
        1.38464,
        1.35822,
        1.38001,
        1.35928,
        1.3938,
        1.39281,
        1.42381,
        1.43042,
        1.38253,
        1.34851,
        1.35263,
        1.35597,
        1.34592,
        1.36279,
        1.37619,
        1.3705,
        1.40004,
        1.40792,
        1.38019,
        1.36647,
        1.37325,
        1.41592,
        1.43306,
        1.41723,
        1.44252,
        1.44482,
        1.46187,
        1.44934,
        1.46304,
        1.41774,
        1.39904,
        1.41933,
        1.45385,
        1.45414,
        1.44405,
        1.42589,
        1.41463,
        1.44111,
        1.42617,
        1.44796,
        1.45873,
        1.40652,
        1.39636,
        1.43067,
        1.46918,
        1.44886,
        1.46932,
        1.46461,
        1.49285,
        1.46586,
        1.48662,
        1.4465,
        1.4629,
        1.48665,
        1.47718,
        1.44565,
        1.45848,
        1.44296,
        1.43504,
        1.45594,
        1.49101,
        1.48062,
        1.46767,
        1.49624,
        1.52854,
        1.44044,
        1.47285,
        1.47941,
        1.50637,
        1.49042,
        1.47383,
        1.46222,
        1.44412,
        1.44022,
        1.43284,
        1.40945,
        1.36925,
        1.39471,
        1.40306,
        1.44294,
        1.42207,
        1.37149,
        1.38847,
        1.38852,
        1.39703,
        1.41074,
        1.41187,
        1.40249,
        1.37202,
        1.36296,
        1.35555,
        1.36908,
        1.34268,
        1.31407,
        1.33436,
        1.34209,
        1.34263,
        1.35225,
        1.32174,
        1.29144,
        1.3162,
        1.32881,
        1.36072,
        1.34983,
        1.33049,
        1.33579,
        1.36644,
        1.38283,
        1.38695,
        1.34395,
        1.32463,
        1.34186,
        1.32089,
        1.35006,
        1.32575,
        1.29986,
        1.33406,
        1.37268,
        1.35788,
        1.32868,
        1.33129,
        1.33002,
        1.33848,
        1.38075,
        1.35341,
        1.37128,
        1.35712,
        1.35704,
        1.3439,
        1.30648,
        1.30656,
        1.34073,
        1.28168,
        1.30169,
        1.31121,
        1.3139,
        1.29368,
        1.2959,
        1.35948,
        1.33914,
        1.3302,
        1.28928,
        1.27468,
        1.2725,
        1.29326,
        1.29429,
        1.28325,
        1.29016,
        1.34549,
        1.32769,
        1.30643,
        1.31978,
        1.31901,
        1.28567,
        1.29432,
        1.33136,
        1.33835,
        1.33719,
        1.31315,
        1.28812,
        1.30903,
        1.3312,
        1.31065,
        1.30777,
        1.29872,
        1.3125,
        1.32212,
        1.31822,
        1.31609,
        1.29571,
        1.26224,
        1.31053,
        1.31113,
        1.34855,
        1.37042,
        1.31225,
        1.28847,
        1.35099,
        1.35432,
        1.30646,
        1.32792,
        1.35466,
        1.36613,
        1.36371,
        1.39341,
        1.44587,
        1.41228,
        1.38289,
        1.37077,
        1.40199,
        1.38674,
        1.40092,
        1.55241,
        1.6151,
        1.56125,
        1.45952,
        1.67682,
        1.70617,
        1.42579,
        1.42796,
        1.51791,
        1.56672,
        1.63457,
        1.54311,
        1.46122,
        1.44726,
        1.66782,
        1.83272,
        1.79896,
        1.63413,
        1.70103,
        1.72891,
        1.74714,
        1.79047,
        1.80218,
        1.78992,
        1.79179,
        1.7748,
        1.8142,
        1.82796,
        1.78504,
        1.79902,
        1.75808,
        1.71692,
        1.86126,
        1.84926,
        1.79671,
        1.82225,
        1.76353,
        1.76149,
        1.81748,
        1.76769,
        1.72383,
        1.78764,
        1.85615,
        1.86467,
        1.89439,
        1.86266,
        1.84715,
        1.78571,
        1.77033,
        1.77924,
        1.77479,
        1.76624,
        1.79463,
        1.75656,
        1.77089,
        1.76707,
        1.75923,
        1.7303,
        1.72411,
        1.72154,
        1.73364,
        1.68168,
        1.67557,
        1.69005,
        1.63335,
        1.64026,
        1.61114,
        1.61852,
        1.60894,
        1.63753,
        1.66816,
        1.63782,
        1.61595,
        1.59463,
        1.57283,
        1.57298,
        1.56898,
        1.55307,
        1.54406,
        1.52946,
        1.51483,
        1.52796,
        1.56568,
        1.54253,
        1.52929,
        1.54768,
        1.47979,
        1.46322,
        1.51281,
        1.50461,
        1.46586,
        1.44919,
        1.46283,
        1.44746,
        1.42356,
        1.42951,
        1.41633,
        1.41872,
        1.43383,
        1.414,
        1.41488,
        1.40197,
        1.42382,
        1.35746,
        1.31753,
        1.35004,
        1.36842,
        1.36671,
        1.39241,
        1.4036,
        1.35837,
        1.3092,
        1.41354,
        1.40298,
        1.4236,
        1.43479,
        1.43636,
        1.41412,
        1.38735,
        1.4296,
        1.43551,
        1.44014,
        1.4324,
        1.49467,
        1.49304,
        1.43168,
        1.38602,
        1.49792,
        1.43466,
        1.66691,
        1.43842,
        1.42331,
        1.66279,
        1.55531,
        1.40951,
        1.37046,
        1.35213,
        1.48254,
        1.42871,
        1.3807,
        1.39146,
        1.39194,
        1.409,
        1.44676,
        1.37504,
        1.32826,
        1.34222,
        1.38442,
        1.38014,
        1.39302,
        1.35143,
        1.37248,
        1.40272,
        1.38754,
        1.38927,
        1.36234,
        1.4121,
        1.3811,
        1.3549,
        1.35641,
        1.35424,
        1.33133,
        1.32451,
        1.30939,
        1.3582,
        1.42128,
        1.35074,
        1.35455,
        1.34599,
        1.31876,
        1.30212,
        1.32689,
        1.33181,
        1.33286,
        1.34893,
        1.35922,
        1.30962,
        1.34311,
        1.38518,
        1.3978,
        1.41209,
        1.37448,
        1.37977,
        1.36874,
        1.37552,
        1.36366,
        1.34669,
        1.32363,
        1.34145,
        1.37061,
        1.36704,
        1.38918,
        1.43122,
        1.37655,
        1.38078,
        1.39233,
        1.32229,
        1.37811,
        1.40545,
        1.37449,
        1.33414,
        1.38639,
        1.44273,
        1.36159,
        1.40216,
        1.4005,
        1.34971,
        1.3533,
        1.37121,
        1.3699,
        1.34987,
        1.37973,
        1.368,
        1.35566,
        1.34806,
        1.35167,
        1.38623,
        1.37894,
        1.3932,
        1.36276,
        1.39,
        1.32147,
        1.29672,
        1.33097,
        1.36067,
        1.41055,
        1.41299,
        1.40591,
        1.36126,
        1.40136,
        1.39364,
        1.37867,
        1.39786,
        1.39767,
        1.38598,
        1.4051,
        1.39939,
        1.37597,
        1.37134,
        1.35398,
        1.41139,
        1.44329,
        1.38205,
        1.38957,
        1.4104,
        1.41563,
        1.42446,
        1.39549,
        1.33195,
        1.38747,
        1.41648,
        1.47209,
        1.47768,
        1.46088,
        1.4398,
        1.46411,
        1.45329,
        1.4702,
        1.46779,
        1.41568,
        1.41661,
        1.42932,
        1.48085,
        1.47864,
        1.46973,
        1.48449,
        1.47284,
        1.48278,
        1.50179,
        1.47972,
        1.47894,
        1.44937,
        1.41523,
        1.42403,
        1.49762,
        1.47582,
        1.53862,
        1.51806,
        1.4826,
        1.52139,
        1.49405,
        1.50277,
        1.48855,
        1.46739,
        1.46708,
        1.48,
        1.48738,
        1.48215,
        1.48275,
        1.52076,
        1.49407,
        1.47024,
        1.42166,
        1.40249,
        1.44738,
        1.39902,
        1.43547,
        1.46297,
        1.47696,
        1.51176,
        1.51576,
        1.48319,
        1.51104,
        1.50211,
        1.47761,
        1.46809,
        1.48037,
        1.45389,
        1.48538,
        1.48479,
        1.49579,
        1.49134,
        1.50924,
        1.50169,
        1.53608,
        1.55274,
        1.52113,
        1.50766,
        1.46908,
        1.45703,
        1.45734,
        1.44514,
        1.45239,
        1.52424,
        1.53888,
        1.53831,
        1.51098,
        1.5074,
        1.48439,
        1.45085,
        1.46317,
        1.49042,
        1.50156,
        1.47801,
        1.47145,
        1.46713,
        1.46566,
        1.42345,
        1.40744,
        1.40635,
        1.42529,
        1.43465,
        1.41349,
        1.41297,
        1.39783,
        1.42225,
        1.40152,
        1.4033,
        1.38027,
        1.40967,
        1.35235,
        1.31134,
        1.36009,
        1.35318,
        1.35437,
        1.34709,
        1.30194,
        1.30829,
        1.34205,
        1.41397,
        1.39954,
        1.30455,
        1.3444,
        1.31923,
        1.33992,
        1.33358,
        1.3466,
        1.34105,
        1.32015,
        1.33014,
        1.34432,
        1.31167,
        1.30174,
        1.28745,
        1.27998,
        1.36905,
        1.37124,
        1.3202,
        1.31017,
        1.30612,
        1.31564,
        1.37005,
        1.4072,
        1.31702,
        1.32005,
        1.3173,
        1.34749,
        1.41817,
        1.32237,
        1.31789,
        1.35957,
        1.34764,
        1.34062,
        1.30044,
        1.35104,
        1.32515,
        1.29523,
        1.31521,
        1.34705,
        1.34531,
        1.33453,
        1.35421,
        1.3263,
        1.33377,
        1.33404,
        1.3188,
        1.35903,
        1.39032,
        1.37861,
        1.36006,
        1.29993,
        1.33363,
        1.26586,
        1.28019,
        1.3132,
        1.29424,
        1.31851,
        1.32006,
        1.31409,
        1.28628,
        1.33274,
        1.33448,
        1.26774,
        1.32819,
        1.3344,
        1.34238,
        1.30685,
        1.30113,
        1.33983,
        1.32125,
        1.29866,
        1.31523,
        1.33352,
        1.34134,
        1.27221,
        1.26557,
        1.3145,
        1.34189,
        1.31597,
        1.35131,
        1.30601,
        1.33587,
        1.34476,
        1.37159,
        1.37495,
        1.28647,
        1.31719,
        1.36917,
        1.37539,
        1.37921,
        1.37735,
        1.3466,
        1.32964,
        1.33335,
        1.33037,
        1.34149,
        1.31672,
        1.32599,
        1.36514,
        1.37581,
        1.36976,
        1.34831,
        1.31234,
        1.31869,
        1.34023,
        1.35479,
        1.37893,
        1.33865,
        1.35785,
        1.35412,
        1.3586,
        1.3522,
        1.36946,
        1.33962,
        1.32496,
        1.30396,
        1.33993,
        1.32902,
        1.32964,
        1.41316,
        1.48829,
        1.37759,
        1.31953,
        1.35938,
        1.35338,
        1.39097,
        1.45621,
        1.43332,
        1.42851,
        1.48501,
        1.42981,
        1.41766,
        1.49582,
        1.4002,
        1.72249,
        1.88044,
        1.66129,
        1.6177,
        1.69161,
        1.66645,
        1.62844,
        1.67846,
        1.71104,
        1.7468,
        1.75509,
        1.80326,
        1.815,
        1.81364,
        1.84312,
        1.84757,
        1.80881,
        1.80028,
        1.8002,
        1.81314,
        1.82006,
        1.83507,
        1.89715,
        1.90065,
        1.85503,
        1.82269,
        1.82203,
        1.84267,
        1.84623,
        1.81769,
        1.80562,
        1.88711,
        1.89047,
        1.84875,
        1.85773,
        1.81321,
        1.84955,
        1.83465,
        1.85012,
        1.7933,
        1.75465,
        1.78294,
        1.77349,
        1.7213,
        1.68781,
        1.72829,
        1.83401,
        1.7188,
        1.712,
        1.76222,
        1.71099,
        1.72201,
        1.69066,
        1.71111,
        1.69737,
        1.68465,
        1.67541,
        1.69966,
        1.70489,
        1.65928,
        1.65056,
        1.66203,
        1.64861,
        1.61148,
        1.62479,
        1.55679,
        1.57673,
        1.59594,
        1.56872,
        1.56208,
        1.53615,
        1.51954,
        1.51188,
        1.51811,
        1.5454,
        1.51535,
        1.50404,
        1.45359,
        1.47149,
        1.44924,
        1.43203,
        1.45186,
        1.39348,
        1.34626,
        1.41605,
        1.36495,
        1.35184,
        1.28972,
        1.41903,
        1.37267,
        1.3588,
        1.37235,
        1.37708,
        1.34608,
        1.34183,
        1.34906,
        1.36364,
        1.31788,
        1.30722,
        1.28779,
        1.29491,
        1.29062,
        1.32661,
        1.3586,
        1.39096,
        1.30065,
        1.29853,
        1.30792,
        1.31435,
        1.2879,
        1.28266,
        1.29722,
        1.34608,
        1.35392,
        1.3165,
        1.26688,
        1.29369,
        1.34442,
        1.32789,
        1.30415,
        1.33226,
        1.35983,
        1.35418,
        1.33726,
        1.35553,
        1.29269,
        1.29724,
        1.30497,
        1.31138,
        1.32166,
        1.28648,
        1.30911,
        1.33306,
        1.28161,
        1.31309,
        1.31405,
        1.29826,
        1.32037,
        1.3317,
        1.3261,
        1.31741,
        1.34431,
        1.34089,
        1.28931,
        1.24955,
        1.33615,
        1.33599,
        1.33522,
        1.30573,
        1.33903,
        1.30773,
        1.25868,
        1.26317,
        1.24763,
        1.29576,
        1.31337,
        1.31953,
        1.33147,
        1.30672,
        1.27634,
        1.29616,
        1.30114,
        1.28812,
        1.28654,
        1.26515,
        1.27518,
        1.28178,
        1.28041,
        1.26065,
        1.31806,
        1.30134,
        1.30025,
        1.29468,
        1.30472,
        1.20128,
        1.24887,
        1.40021,
        1.40445,
        1.40625,
        1.30506,
        1.31634,
        1.26687,
        1.28542,
        1.28386,
        1.29447,
        1.28359,
        1.30719,
        1.34396,
        1.34741,
        1.28186,
        1.35299,
        1.32604,
        1.3265,
        1.3122,
        1.37105,
        1.34759,
        1.36645,
        1.30119,
        1.2722,
        1.29368,
        1.29654,
        1.3119,
        1.32703,
        1.35993,
        1.37133,
        1.39802,
        1.38253,
        1.37593,
        1.34756,
        1.39602,
        1.40867,
        1.42487,
        1.38075,
        1.33442,
        1.311,
        1.29116,
        1.33703,
        1.40423,
        1.4411,
        1.36435,
        1.37758,
        1.35599,
        1.3754,
        1.36437,
        1.40433,
        1.41641,
        1.40123,
        1.39361,
        1.38057,
        1.39568,
        1.39534,
        1.40714,
        1.38564,
        1.40897,
        1.45232,
        1.37121,
        1.36492,
        1.36559,
        1.45769,
        1.39975,
        1.42151,
        1.41564,
        1.46198,
        1.43241,
        1.43107,
        1.40373,
        1.35411,
        1.4543,
        1.43495,
        1.4349,
        1.40904,
        1.41599,
        1.41585,
        1.46089,
        1.4319,
        1.47497,
        1.4921,
        1.49497,
        1.49598,
        1.45804,
        1.40535,
        1.41242,
        1.35437,
        1.3924,
        1.48798,
        1.53186,
        1.48417,
        1.45396,
        1.48366,
        1.45976,
        1.46027,
        1.46871,
        1.46443,
        1.35317,
        1.42099,
        1.46432,
        1.45325,
        1.45253,
        1.42408,
        1.43091,
        1.36747,
        1.34751,
        1.44615,
        1.45681,
        1.50236,
        1.52263,
        1.50268,
        1.50725,
        1.49333,
        1.45423,
        1.53679,
        1.51539,
        1.47185,
        1.52167,
        1.43113,
        1.43881,
        1.43465,
        1.49111,
        1.4323,
        1.41523,
        1.46539,
        1.47087,
        1.43003,
        1.3908,
        1.44035,
        1.38974,
        1.43191,
        1.45675,
        1.40738,
        1.42675,
        1.42715,
        1.44393,
        1.39996,
        1.41951,
        1.40564,
        1.38218,
        1.40239,
        1.33594,
        1.33084,
        1.39593,
        1.42664,
        1.32978,
        1.33903,
        1.21446,
        1.28898,
        1.36321,
        1.38364,
        1.25169,
        1.31266,
        1.21083,
        1.25766,
        1.41633,
        1.47313,
        1.52864,
        1.31028,
        1.44997,
        1.31834,
        1.4184,
        1.45425,
        1.66142,
        1.75099,
        1.63215,
        1.46633,
        1.56443,
        1.62862,
        1.44558,
        1.25894,
        1.18756,
        1.49461,
        1.48282,
        1.32562,
        1.38044,
        1.29976,
        1.32924,
        1.33106,
        1.32053,
        1.38382,
        1.25736,
        1.32194,
        1.34392,
        1.33514,
        1.35418,
        1.3016,
        1.31364,
        1.30469,
        1.37983,
        1.34206,
        1.36103,
        1.34242,
        1.29598,
        1.25282,
        1.23742,
        1.30416,
        1.34804,
        1.30942,
        1.27726,
        1.32894,
        1.36488,
        1.29717,
        1.34746,
        1.33657,
        1.34209,
        1.37719,
        1.33898,
        1.24555,
        1.29917,
        1.37704,
        1.42795,
        1.40646,
        1.40466,
        1.4172,
        1.42495,
        1.48418,
        1.37698,
        1.41928,
        1.38244,
        1.38525,
        1.39647,
        1.39511,
        1.36944,
        1.35435,
        1.36454,
        1.35422,
        1.30196,
        1.39963,
        1.40044,
        1.47323,
        null,
        1.39356,
        1.33575,
        1.35214,
        1.43339,
        1.42529,
        1.41441,
        1.42714,
        1.37053,
        1.33414,
        1.37352,
        1.35955,
        1.37241,
        1.40876,
        1.36356,
        1.36397,
        1.38742,
        1.3587,
        1.36097,
        1.39002,
        1.38342,
        1.40309,
        1.41036,
        1.38054,
        1.38787,
        1.37368,
        1.3786,
        1.38289,
        1.42952,
        1.41291,
        1.35333,
        1.36107,
        1.38188,
        1.42105,
        1.38223,
        1.34473,
        1.32773,
        1.34616,
        1.39863,
        1.40299,
        1.35028,
        1.40564,
        1.42939,
        1.39796,
        1.35298,
        1.33653,
        1.3708,
        1.38257,
        1.34208,
        1.36838,
        1.36366,
        1.38457,
        1.42228,
        1.50294,
        1.48348,
        1.52703,
        1.55223,
        1.48529,
        1.46237,
        1.57569,
        1.79025,
        1.8254,
        1.71947,
        1.56046,
        1.51613,
        1.63369,
        1.56773,
        1.50275,
        1.55354,
        1.52884,
        1.51914,
        1.51756,
        1.52262,
        1.53226,
        1.5544,
        1.56061,
        1.52225,
        1.47686,
        1.48913,
        1.52188,
        1.53948,
        1.48034,
        1.47537,
        1.50728,
        1.51432,
        1.46303,
        1.44381,
        1.49678,
        1.51946,
        1.49038,
        1.49226,
        1.52854,
        1.52126,
        1.51459,
        1.51316,
        1.45843,
        1.4325,
        1.49649,
        1.51275,
        1.48327,
        1.4651,
        1.45251,
        1.47098,
        1.48182,
        1.48188,
        1.49853,
        1.51911,
        1.48408,
        1.44447,
        1.4506,
        1.45858,
        1.43921,
        1.43903,
        1.4509,
        1.43306,
        1.41242,
        1.43639,
        1.46395,
        1.43821,
        1.44603,
        1.46307,
        1.42537,
        1.41168,
        1.43194,
        1.43562,
        1.4071,
        1.44007,
        1.44987,
        1.42536,
        1.38672,
        1.37169,
        1.37569,
        1.39164,
        1.35877,
        1.35662,
        1.34441,
        1.33591,
        1.32925,
        1.36161,
        1.37372,
        1.36012,
        1.30819,
        1.31809,
        1.30939,
        1.29415,
        1.31603,
        1.28678,
        1.32493,
        1.3234,
        1.31451,
        1.27971,
        1.28655,
        1.31979,
        1.31124,
        1.31779,
        1.33785,
        1.30878,
        1.28688,
        1.32223,
        1.33824,
        1.33419,
        1.31039,
        1.303,
        1.35614,
        1.35387,
        1.3004,
        1.32808,
        1.32931,
        1.36202,
        1.34294,
        1.33011,
        1.31653,
        1.36712,
        1.34883,
        1.32608,
        1.31681,
        1.33633,
        1.31975,
        1.31187,
        1.30526,
        1.28517,
        1.32513,
        1.32768,
        1.3181,
        1.33684,
        1.33291,
        1.31926,
        1.33532,
        1.29558,
        1.2802,
        1.29914,
        1.29053,
        1.31254,
        1.30751,
        1.30761,
        1.30683,
        1.31351,
        1.30959,
        1.32504,
        1.29445,
        1.29621,
        1.28971,
        1.2949,
        1.27225,
        1.29194,
        1.33055,
        1.33418,
        1.31449,
        1.30428,
        1.27695,
        1.3164,
        1.35581,
        1.32505,
        1.29811,
        1.30319,
        1.30846,
        1.27933,
        1.27101,
        1.28457,
        1.35148,
        1.33577,
        1.30611,
        1.29014,
        1.31878,
        1.31294,
        1.30104,
        1.30022,
        1.29905,
        1.3043,
        1.32083,
        1.30341,
        1.33496,
        1.31645,
        1.34548,
        1.33722,
        1.34341,
        1.31627,
        1.34173,
        1.33294,
        1.33357,
        1.34106,
        1.35149,
        1.36365,
        1.34699,
        1.34942,
        1.36165,
        1.38506,
        1.35725,
        1.30612,
        1.30589,
        1.35802,
        1.37824,
        1.35611,
        1.44888,
        1.44357,
        1.4315,
        1.37428,
        1.37024,
        1.39677,
        1.36806,
        1.3873,
        1.3933,
        1.35087,
        1.36159,
        1.34261,
        1.35902,
        1.37996,
        1.37823,
        1.37382,
        1.32466,
        1.31683,
        1.36842,
        1.36256,
        1.36372,
        1.34551,
        1.38036,
        1.33991,
        1.30916,
        1.31257,
        1.37304,
        1.37447,
        1.33534,
        1.36841,
        1.38514,
        1.39121,
        1.35998,
        1.36504,
        1.37888,
        1.36471,
        1.33911,
        1.32248,
        1.39248,
        1.38809,
        1.38356,
        1.32645,
        1.33747,
        1.32646,
        1.40649,
        1.38756,
        1.37734,
        1.38752,
        1.40641,
        1.42259,
        1.35353,
        1.42817,
        1.4426,
        1.45031,
        1.47108,
        1.46086,
        1.40659,
        1.39402,
        1.4429,
        1.44216,
        1.4359,
        1.46754,
        1.47647,
        1.4689,
        1.47913,
        1.45841,
        1.42718,
        1.48517,
        1.41201,
        1.50778,
        1.56548,
        1.80386,
        1.68568,
        1.68638,
        1.59235,
        1.67208,
        1.71722,
        1.70457,
        1.7952,
        1.78583,
        1.78334,
        1.80198,
        1.79187,
        1.85176,
        1.87068,
        1.85537,
        1.88864,
        1.91562,
        1.91401,
        1.90511,
        1.88361,
        1.86364,
        1.86614,
        1.85698,
        1.86874,
        1.88848,
        1.89028,
        1.88992,
        1.90084,
        1.89102,
        1.84502,
        1.84892,
        1.85559,
        1.84845,
        1.85909,
        1.82128,
        1.82847,
        1.83541,
        1.81419,
        1.77552,
        1.75827,
        1.78685,
        1.81727,
        1.77143,
        1.75036,
        1.77674,
        1.79584,
        1.79859,
        1.75461,
        1.73632,
        1.71384,
        1.72471,
        1.78889,
        1.78744,
        1.74541,
        1.7038,
        1.68265,
        1.68732,
        1.67322,
        1.66366,
        1.63981,
        1.63661,
        1.63281,
        1.6068,
        1.56728,
        1.55196,
        1.57324,
        1.57449,
        1.55902,
        1.54991,
        1.52781,
        1.53056,
        1.51854,
        1.48035,
        1.47097,
        1.46202,
        1.46501,
        1.44041,
        1.46592,
        1.44859,
        1.40374,
        1.39172,
        1.38355,
        1.36601,
        1.32769,
        1.32867,
        1.40737,
        1.40367,
        1.36305,
        1.33703,
        1.33813,
        1.37659,
        1.37091,
        1.34851,
        1.3243,
        1.31438,
        1.33068,
        1.33055,
        1.30595,
        1.28794,
        1.36908,
        1.34311,
        1.36685,
        1.31429,
        1.32802,
        1.35994,
        1.33865,
        1.34461,
        1.36791,
        1.34012,
        1.31868,
        1.32749,
        1.34527,
        1.27067,
        1.31973,
        1.31325,
        1.27416,
        1.29292,
        1.27641,
        1.28593,
        1.29344,
        1.34872,
        1.28588,
        1.31574,
        1.29909,
        1.27739,
        1.24577,
        1.29504,
        1.30362,
        1.31512,
        1.29084,
        1.3103,
        1.30532,
        1.38002,
        1.36704,
        1.30755,
        1.38841,
        1.45233,
        1.40298,
        1.34672,
        1.26919,
        1.32915,
        1.36368,
        1.38371,
        1.26791,
        1.46529,
        1.43224,
        1.28971,
        1.24685,
        1.34667,
        1.17234,
        1.37849,
        1.52819,
        1.41273,
        1.62088,
        1.26132,
        1.43447,
        1.55863,
        1.4535,
        1.51068,
        1.47931,
        1.48854,
        1.48553,
        1.46443,
        1.51116,
        1.50878,
        1.53182,
        1.54918,
        1.51816,
        1.52502,
        1.52658,
        1.49763,
        1.50598,
        1.51371,
        1.48637,
        1.45562,
        1.41141,
        1.45224,
        1.48739,
        1.53067,
        1.48036,
        1.45635,
        1.47371,
        1.45327,
        1.45776,
        1.47444,
        1.46085,
        1.48091,
        1.46863,
        1.47749,
        1.48031,
        1.47139,
        1.51185,
        1.5021,
        1.49802,
        1.48207,
        1.50737,
        1.54729,
        1.51773,
        1.4703,
        1.47427,
        1.55181,
        1.55225,
        1.51743,
        1.51581,
        1.51856,
        1.49738,
        1.49429,
        1.52634,
        1.49107,
        1.47126,
        1.48622,
        1.49885,
        1.4788,
        1.47861,
        1.49687,
        1.46772,
        1.48546,
        1.47379,
        1.4497,
        1.44349,
        1.52207,
        1.50116,
        1.41388,
        1.40046,
        1.42001,
        1.38627,
        1.3889,
        1.36919,
        1.4021,
        1.39279,
        1.3538,
        1.33357,
        1.3427,
        1.37394,
        1.36904,
        1.33376,
        1.35104,
        1.34894,
        1.36041,
        1.35997,
        1.36815,
        1.37178,
        1.34391,
        1.34032,
        1.37555,
        1.37231,
        1.36462,
        1.3372,
        1.36271,
        1.32796,
        1.33391,
        1.32522,
        1.35332,
        1.35161,
        1.33091,
        1.34792,
        1.3457,
        1.29797,
        1.35181,
        1.34885,
        1.34779,
        1.3546,
        1.35476,
        1.33958,
        1.37897,
        1.39157,
        1.34815,
        1.37724,
        1.33277,
        1.3414,
        1.42539,
        1.42702,
        1.33414,
        1.34934,
        1.42136,
        1.40131,
        1.36178,
        1.37237,
        1.32132,
        1.2835,
        1.36735,
        1.42566,
        1.46891,
        1.3836,
        1.38257,
        1.38024,
        1.39654,
        1.38506,
        1.39223,
        1.38244,
        1.3791,
        1.36986,
        1.36007,
        1.35466,
        1.33765,
        1.38131,
        1.36813,
        1.3711,
        1.3721,
        1.3642,
        1.36322,
        1.38083,
        1.39894,
        1.37626,
        1.37616,
        1.40243,
        1.38157,
        1.35591,
        1.35908,
        1.41166,
        1.39218,
        1.38733,
        1.3809,
        1.41269,
        1.40358,
        1.37778,
        1.37107,
        1.34751,
        1.35961,
        1.32529,
        1.32127,
        1.30567,
        1.41622,
        1.39161,
        1.3848,
        1.38766,
        1.36946,
        1.35604,
        1.34713,
        1.37657,
        1.35274,
        1.35927,
        1.35418,
        1.30262,
        1.30268,
        1.36691,
        1.35355,
        1.33604,
        1.32471,
        1.33972,
        1.27652,
        1.30871,
        1.35424,
        1.34576,
        1.37038,
        1.37034,
        1.35875,
        1.338,
        1.31284,
        1.28322,
        1.30002,
        1.32243,
        1.32321,
        1.34528,
        1.341,
        1.32514,
        1.33229,
        1.31356,
        1.33353,
        1.33408,
        1.33822,
        1.33494,
        1.35903,
        1.32396,
        1.34119,
        1.34951,
        1.33301,
        1.30307,
        1.29873,
        1.29205,
        1.3167,
        1.32009,
        1.33329,
        1.29277,
        1.31393,
        1.31285,
        1.30698,
        1.3063,
        1.30989,
        1.3135,
        1.32274,
        1.36148,
        1.32892,
        1.28793,
        1.33436,
        1.35101,
        1.35112,
        1.3213,
        1.33121,
        1.33385,
        1.31527,
        1.33288,
        1.33086,
        1.33601,
        1.30328,
        1.32921,
        1.32326,
        1.33116,
        1.3095,
        1.2948,
        1.31413,
        1.31547,
        1.30039,
        1.28978,
        1.29287,
        1.3129,
        1.32418,
        1.34446,
        1.33136,
        1.32316,
        1.35229,
        1.3555,
        1.35497,
        1.34427,
        1.34233,
        1.32311,
        1.35435,
        1.36861,
        1.36615,
        1.33622,
        1.32399,
        1.33551,
        1.34584,
        1.34466,
        1.33616,
        1.28196,
        1.37224,
        1.39557,
        1.34543,
        1.27345,
        1.34348,
        1.37321,
        1.33775,
        1.36393,
        1.36571,
        1.37049,
        1.35203,
        1.33152,
        1.37118,
        1.41041,
        1.36324,
        1.34578,
        1.37843,
        1.41938,
        1.42315,
        1.39379,
        1.41862,
        1.38901,
        1.43619,
        1.41189,
        1.43405,
        1.42162,
        1.45021,
        1.37838,
        1.42839,
        1.49714,
        1.58909,
        1.58233,
        1.5963,
        1.55434,
        1.48381,
        1.45136,
        1.38299,
        1.42108,
        1.30044,
        1.74617,
        1.93656,
        1.73825,
        1.69691,
        1.8141,
        1.78983,
        1.78971,
        1.83355,
        1.86406,
        1.81793,
        1.80039,
        1.90179,
        1.92521,
        1.90828,
        1.89963,
        1.86559,
        1.82853,
        1.92622,
        1.99059,
        2.01164,
        1.94314,
        1.99648,
        2.06356,
        2.04784,
        1.90394,
        1.99498,
        2.17442,
        2.02503,
        2.17545,
        2.1985,
        2.06105,
        2.0007,
        1.99242,
        2.15903,
        2.05479,
        2.10976,
        2.33752,
        2.45711,
        2.98506,
        2.62182,
        1.68874,
        2.0187,
        1.81774,
        1.81618,
        1.87649,
        1.72671,
        1.69166,
        1.74552,
        1.80203,
        1.69503,
        1.72697,
        1.77551,
        1.81274,
        1.45234,
        1.66491,
        1.61774,
        1.57518,
        1.76505,
        1.7006,
        1.60504,
        1.61697,
        1.62335,
        1.65228,
        1.58724,
        1.57992,
        1.5395,
        1.57372,
        1.59023,
        1.56189,
        1.59392,
        1.5643,
        1.52959,
        1.50472,
        1.5475,
        1.56343,
        1.57585,
        1.56941,
        1.53814,
        1.55453,
        1.48716,
        1.54855,
        1.53666,
        1.48871,
        1.46634,
        1.51398,
        1.49581,
        1.46184,
        1.46891,
        1.51225,
        1.52377,
        1.45402,
        1.48671,
        1.57213,
        1.48661,
        1.52532,
        1.56198,
        1.54575,
        1.52458,
        1.49542,
        1.50124,
        1.51456,
        1.51714,
        1.51211,
        1.54494,
        1.51846,
        1.55578,
        1.548,
        1.51284,
        1.49105,
        1.50884,
        1.50741,
        1.55876,
        1.55785,
        1.53133,
        1.50557,
        1.4758,
        1.44691,
        1.45528,
        1.47605,
        1.45843,
        1.45705,
        1.45353,
        1.41971,
        1.41398,
        1.44563,
        1.44191,
        1.42109,
        1.45513,
        1.47587,
        1.46026,
        1.45944,
        1.47592,
        1.43671,
        1.4552,
        1.44647,
        1.43827,
        1.43192,
        1.47953,
        1.47487,
        1.44099,
        1.43385,
        1.46594,
        1.51187,
        1.46357,
        1.45914,
        1.46404,
        1.49795,
        1.47633,
        1.465,
        1.42676,
        1.4569,
        1.43964,
        1.41085,
        1.43346,
        1.42006,
        1.43504,
        1.40594,
        1.42791,
        1.41605,
        1.41327,
        1.44456,
        1.43746,
        1.41634,
        1.43317,
        1.3967,
        1.37985,
        1.38202,
        1.41819,
        1.39353,
        1.33055,
        1.3635,
        1.35814,
        1.31028,
        1.33046,
        1.34087,
        1.28194,
        1.27814,
        1.2564,
        1.385,
        1.30568,
        1.3817,
        1.28276,
        1.28902,
        1.31348,
        1.35348,
        1.28286,
        1.26344,
        1.32035,
        1.29183,
        1.27966,
        1.33018,
        1.3261,
        1.35276,
        1.35778,
        1.3314,
        1.3792,
        1.32376,
        1.35446,
        1.37811,
        1.37474,
        1.31303,
        1.25839,
        1.3273,
        1.31408,
        1.31415,
        1.35512,
        1.37995,
        1.3409,
        1.34219,
        1.32612,
        1.36774,
        1.33533,
        1.36024,
        1.34484,
        1.3897,
        1.37955,
        1.34572,
        1.37888,
        1.35069,
        1.36454,
        1.34458,
        1.32564,
        1.34652,
        1.34293,
        1.35543,
        1.36703,
        1.36155,
        1.35278,
        1.34422,
        1.37137,
        1.37522,
        1.35878,
        1.34003,
        1.35098,
        1.39564,
        1.3866,
        1.36916,
        1.34701,
        1.31553,
        1.3617,
        1.37791,
        1.36135,
        1.3419,
        1.29549,
        1.30384,
        1.34604,
        1.32985,
        1.33119,
        1.31579,
        1.33674,
        1.3432,
        1.33922,
        1.33533,
        1.35298,
        1.34681,
        1.32329,
        1.33216,
        1.34049,
        1.3774,
        1.35202,
        1.34742,
        1.34316,
        1.37061,
        1.36383,
        1.35962,
        1.34211,
        1.33045,
        1.25684,
        1.28959,
        1.27239,
        1.38903,
        1.37177,
        1.3088,
        1.33692,
        1.34733,
        1.30964,
        1.36151,
        1.36249,
        1.35284,
        1.35511,
        1.30711,
        1.32528,
        1.33017,
        1.34044,
        1.27622,
        1.35186,
        1.35132,
        1.33354,
        1.33433,
        1.33567,
        1.37714,
        1.34808,
        1.32446,
        1.37088,
        1.39442,
        1.37485,
        1.39665,
        1.38191,
        1.38779,
        1.30264,
        1.30983,
        1.3488,
        1.47886,
        1.40936,
        1.41402,
        1.45476,
        1.44004,
        1.35241,
        1.51804,
        1.60426,
        1.55804,
        1.53134,
        1.54806,
        1.53229,
        1.55253,
        1.47151,
        1.60686,
        1.58405,
        1.6242,
        1.632,
        1.50778,
        1.46915,
        1.54821,
        1.48701,
        1.47515,
        1.43316,
        1.43559,
        1.48108,
        1.40072,
        1.31667,
        1.39048,
        1.4698,
        1.49534,
        1.48679,
        1.38648,
        1.41349,
        1.47256,
        1.42137,
        1.39432,
        1.43962,
        1.43666,
        1.45775,
        1.33922,
        1.23395,
        1.3293,
        1.55565,
        1.38187,
        1.52085,
        1.48331,
        1.47242,
        1.50158,
        1.41992,
        1.42923,
        1.46839,
        1.43178,
        1.42503,
        1.50058,
        1.45331,
        1.43069,
        1.47709,
        1.46629,
        1.45098,
        1.457,
        1.41551,
        1.39397,
        1.42183,
        1.43992,
        1.42842,
        1.43756,
        1.42072,
        1.4144,
        1.39978,
        1.41039,
        1.45284,
        1.43431,
        1.40322,
        1.40596,
        1.40574,
        1.41645,
        1.37956,
        1.40947,
        1.40552,
        1.39562,
        1.39896,
        1.39148,
        1.36952,
        1.39074,
        1.40083,
        1.41288,
        1.39677,
        1.36929,
        1.37136,
        1.38343,
        1.41234,
        1.42084,
        1.40889,
        1.43011,
        1.45101,
        1.43923,
        1.43459,
        1.41779,
        1.38241,
        1.40145,
        1.40017,
        1.40456,
        1.39731,
        1.40614,
        1.40992,
        1.43516,
        1.44466,
        1.42118,
        1.43698,
        1.42587,
        1.41917,
        1.44926,
        1.41816,
        1.45185,
        1.4495,
        1.44527,
        1.48147,
        1.49435,
        1.47377,
        1.47911,
        1.52158,
        1.47535,
        1.3877,
        1.4083,
        1.42155,
        1.70581,
        1.52327,
        1.72276,
        1.69371,
        1.70766,
        1.69523,
        1.62099,
        1.66662,
        1.68589,
        1.69889,
        1.72162,
        1.75331,
        1.73334,
        1.763,
        1.78178,
        1.85885,
        1.89702,
        1.8546,
        1.8719,
        1.89384,
        1.86016,
        1.87711,
        1.85146,
        1.89997,
        1.89938,
        1.86619,
        1.87612,
        1.8813,
        1.91807,
        1.94853,
        1.91044,
        1.91429,
        1.96034,
        1.98152,
        1.9254,
        1.874,
        1.84593,
        1.90891,
        1.93119,
        1.93941,
        1.89937,
        1.90652,
        1.87884,
        1.84287,
        1.85138,
        1.89284,
        1.83946,
        1.81883,
        1.79941,
        1.84554,
        1.82322,
        1.82326,
        1.85338,
        1.84629,
        1.80956,
        1.80435,
        1.76289,
        1.72552,
        1.74538,
        1.78663,
        1.73234,
        1.74568,
        1.78578,
        1.74362,
        1.71337,
        1.66755,
        1.62188,
        1.63955,
        1.67375,
        1.66746,
        1.62792,
        1.60845,
        1.5837,
        1.5486,
        1.53792,
        1.59992,
        1.58329,
        1.58513,
        1.55654,
        1.57004,
        1.56992,
        1.56266,
        1.58331,
        1.48268,
        1.49057,
        1.47679,
        1.49258,
        1.47472,
        1.46763,
        1.44005,
        1.41943,
        1.37097,
        1.36102,
        1.44612,
        1.45674,
        1.4428,
        1.37796,
        1.33865,
        1.3194,
        1.37735,
        1.32604,
        1.27164,
        1.60244,
        1.63036,
        1.5195,
        1.39052,
        1.39397,
        1.4561,
        1.44106,
        1.46375,
        1.43768,
        1.46543,
        1.4546,
        1.42074,
        1.47608,
        1.48347,
        1.50532,
        1.47393,
        1.43658,
        1.41146,
        1.46367,
        1.45986,
        1.50199,
        1.46645,
        1.48558,
        1.48207,
        1.49649,
        1.54181,
        1.56943,
        1.55751,
        1.53089,
        1.49857,
        1.48597,
        1.49257,
        1.52704,
        1.56594,
        1.54365,
        1.56472,
        1.5507,
        1.50762,
        1.51096,
        1.55302,
        1.52197,
        1.54053,
        1.50192,
        1.45626,
        1.48531,
        1.5141,
        1.49066,
        1.46784,
        1.47785,
        1.48563,
        1.49658,
        1.48701,
        1.50862,
        1.47791,
        1.51738,
        1.45288,
        1.54888,
        1.59297,
        1.61594,
        1.56191,
        1.5378,
        1.54507,
        1.52024,
        1.52682,
        1.51081,
        1.53686,
        1.5593,
        1.61454,
        1.62122,
        1.59444,
        1.6031,
        1.59744,
        1.60254,
        1.49807,
        1.52489,
        1.51646,
        1.54818,
        1.54057,
        1.54471,
        1.52426,
        1.53957,
        1.54378,
        1.54728,
        1.52481,
        1.4781,
        1.42691,
        1.47886,
        1.50042,
        1.50229,
        1.48563,
        1.4547,
        1.41382,
        1.42624,
        1.41266,
        1.42925,
        1.4119,
        1.40642,
        1.41535,
        1.41859,
        1.42489,
        1.38781,
        1.39837,
        1.40276,
        1.44816,
        1.38665,
        1.37761,
        1.35368,
        1.39475,
        1.42512,
        1.37242,
        1.41545,
        1.38696,
        1.37167,
        1.36068,
        1.35686,
        1.38698,
        1.36868,
        1.34334,
        1.39149,
        1.39466,
        1.37566,
        1.32517,
        1.33859,
        1.37888,
        1.34105,
        1.33694,
        1.32099,
        1.36476,
        1.36075,
        1.33493,
        1.3505,
        1.36663,
        1.37999,
        1.32642,
        1.35542,
        1.34698,
        1.33342,
        1.31949,
        1.36341,
        1.35853,
        1.29668,
        1.28351,
        1.32684,
        1.35735,
        1.34633,
        1.33557,
        1.3264,
        1.31068,
        1.33755,
        1.33816,
        1.35163,
        1.26387,
        1.29444,
        1.27698,
        1.26548,
        1.30894,
        1.28878,
        1.28465,
        1.28666,
        1.2961,
        1.30831,
        1.3165,
        1.31582,
        1.30992,
        1.26144,
        1.2766,
        1.31453,
        1.3215,
        1.3155,
        1.33587,
        1.33612,
        1.35205,
        1.33035,
        1.25644,
        1.32541,
        1.27951,
        1.2962,
        1.31308,
        1.35418,
        1.35507,
        1.38509,
        1.3394,
        1.3162,
        1.33601,
        1.34524,
        1.37113,
        1.35275,
        1.25853,
        1.31012,
        1.34151,
        1.40832,
        1.23409,
        1.37561,
        1.40008,
        1.31986,
        1.36301,
        1.35034,
        1.36942,
        1.35544,
        1.31431,
        1.35171,
        1.3158,
        1.32602,
        1.32448,
        1.31363,
        1.32763,
        1.32567,
        1.34593,
        1.36616,
        1.34688,
        1.34972,
        1.36322,
        1.32673,
        1.29819,
        1.22773,
        1.27532,
        1.28791,
        1.31926,
        1.31314,
        1.32398,
        1.30747,
        1.32794,
        1.28473,
        1.28959,
        1.34136,
        1.29844,
        1.34532,
        1.3092,
        1.30128,
        1.30575,
        1.32587,
        1.33425,
        1.30689,
        1.31453,
        1.34034,
        1.34501,
        1.31718,
        1.30431,
        1.27051,
        1.27747,
        1.28147,
        1.29712,
        1.31044,
        1.37043,
        1.34312,
        1.28567,
        1.34399,
        1.31923,
        1.32747,
        1.32379,
        1.30916,
        1.29435,
        1.33358,
        1.31148,
        1.27861,
        1.27808,
        1.22534,
        1.2896,
        1.30113,
        1.30539,
        1.29567,
        1.3178,
        1.33197,
        1.32245,
        1.32007,
        1.29117,
        1.24426,
        1.29753,
        1.28335,
        1.27889,
        1.27045,
        1.28936,
        1.32257,
        1.31938,
        1.28454,
        1.33842,
        1.33793,
        1.33941,
        1.3035,
        1.23853,
        1.2737,
        1.27811,
        1.3446,
        1.31771,
        1.3251,
        1.35931,
        1.32536,
        1.32035,
        1.26757,
        1.30396,
        1.27454,
        1.26723,
        1.27577,
        1.30489,
        1.29565,
        1.28286,
        1.31516,
        1.31452,
        1.30313,
        1.30759,
        1.29217,
        1.29663,
        1.2902,
        1.32943,
        1.33543,
        1.31241,
        1.29894,
        1.3008,
        1.30508,
        1.30591,
        1.30263,
        1.33609,
        1.34758,
        1.31011,
        1.35212,
        1.31036,
        1.3364,
        1.30734,
        1.29732,
        1.34055,
        1.32014,
        1.34479,
        1.35662,
        1.3642,
        1.30261,
        1.35909,
        1.33148,
        1.27951,
        1.31659,
        1.30784,
        1.31449,
        1.28179,
        1.30466,
        1.31073,
        1.30522,
        1.32691,
        1.34113,
        1.35722,
        1.35461,
        1.29357,
        1.33202,
        1.29582,
        1.31559,
        1.31533,
        1.31458,
        1.36162,
        1.28154,
        1.32635,
        1.36072,
        1.32764,
        1.32526,
        1.33177,
        1.34308,
        1.35657,
        1.33063,
        1.28934,
        1.28231,
        1.28869,
        1.34022,
        1.35997,
        1.35193,
        1.34217,
        1.34506,
        1.29254,
        1.27648,
        1.26865,
        1.27581,
        1.38273,
        1.36082,
        1.36334,
        1.34412,
        1.30685,
        1.29363,
        1.28189,
        1.20364,
        1.17135,
        1.16105,
        1.19392,
        1.36062,
        1.46578,
        1.33629,
        1.28814,
        1.3187,
        1.35328,
        1.46313,
        1.45043,
        1.38449,
        1.38527,
        1.40704,
        1.39138,
        1.42282,
        1.40695,
        1.38586,
        1.34228,
        1.39939,
        1.48039,
        1.48204,
        1.4761,
        1.3989,
        1.45767,
        1.45816,
        1.47831,
        1.45564,
        1.49129,
        1.44317,
        1.54427,
        1.46212,
        1.52953,
        1.48468,
        1.4868,
        1.5449,
        1.38173,
        1.46001,
        1.61478,
        1.57028,
        1.7846,
        1.54285,
        1.77528,
        1.63372,
        1.6206,
        1.81649,
        1.91967,
        2.31907,
        2.42801,
        2.33408,
        1.88683,
        2.04655,
        2.0346,
        2.08834,
        1.96981,
        1.96493,
        1.99037,
        1.90973,
        1.91418,
        1.86629,
        1.92184,
        1.85951,
        1.92942,
        2.02296,
        1.98025,
        1.9375,
        1.98878,
        1.96106,
        1.91006,
        1.80325,
        1.84668,
        1.88238,
        1.86177,
        1.91146,
        1.90327,
        1.81914,
        1.87217,
        1.78888,
        1.7908,
        1.79979,
        1.82578,
        1.81176,
        1.84748,
        1.77201,
        1.78421,
        1.78857,
        1.77011,
        1.85058,
        1.78815,
        1.7602,
        1.80509,
        1.79169,
        1.77016,
        1.71682,
        1.76568,
        1.69876,
        1.6703,
        1.69024,
        1.70429,
        1.66386,
        1.64826,
        1.66968,
        1.6583,
        1.62675,
        1.63745,
        1.60164,
        1.5962,
        1.65773,
        1.64106,
        1.62727,
        1.59833,
        1.63439,
        1.63452,
        1.60824,
        1.59485,
        1.58628,
        1.59828,
        1.57937,
        1.57615,
        1.50997,
        1.53111,
        1.50287,
        1.48567,
        1.54567,
        1.58767,
        1.5271,
        1.46915,
        1.48609,
        1.5622,
        1.59378,
        1.53865,
        1.46371,
        1.50478,
        1.45821,
        1.5107,
        1.48386,
        1.51355,
        1.53178,
        1.51596,
        1.46822,
        1.44017,
        1.5502,
        1.57707,
        1.54424,
        1.53779,
        1.57828,
        1.50563,
        1.50565,
        1.53202,
        1.52868,
        1.56975,
        1.54214,
        1.46796,
        1.48317,
        1.45219,
        1.47832,
        1.51425,
        1.53702,
        1.57271,
        1.53276,
        1.54967,
        1.56608,
        1.52512,
        1.48601,
        1.46675,
        1.54409,
        1.55827,
        1.40504,
        1.43237,
        1.46959,
        1.60251,
        1.48546,
        1.48068,
        1.45085,
        1.46309,
        1.4577,
        1.46931,
        1.36629,
        1.4676,
        1.58288,
        1.47004,
        1.68125,
        1.78732,
        1.45006,
        1.57487,
        1.4068,
        1.35191,
        1.40141,
        1.36889,
        1.52434,
        1.49665,
        1.47307,
        null,
        1.34785,
        1.44638,
        1.45114,
        1.41841,
        1.53287,
        1.62694,
        1.4602,
        1.51794,
        1.51445,
        1.53357,
        1.4341,
        1.6576,
        1.60866,
        1.42224,
        1.44646,
        1.50226,
        1.47458,
        1.44788,
        1.51348,
        1.49456,
        1.37868,
        1.61384,
        1.40935,
        1.14831,
        1.27262,
        1.39661,
        1.3506,
        1.47778,
        null,
        1.53519,
        1.57728,
        1.50072,
        1.55755,
        1.6142,
        1.53214,
        1.53512,
        1.53039,
        1.55877,
        1.56327,
        1.42542,
        1.41864,
        1.50166,
        1.49561,
        1.49264,
        1.46802,
        1.51268,
        1.50193,
        1.53485,
        1.50703,
        1.42592,
        1.43426,
        1.46898,
        1.45178,
        1.48736,
        1.47329,
        1.4443,
        1.44658,
        1.47327,
        1.41726,
        1.43576,
        1.45297,
        1.41078,
        1.40083,
        1.39546,
        1.3533,
        1.34922,
        1.34816,
        1.38094,
        1.36542,
        1.3397,
        1.33416,
        1.36627,
        1.38196,
        1.34913,
        1.38043,
        1.38739,
        1.35532,
        1.4175,
        1.39782,
        1.39888,
        1.37408,
        1.34661,
        1.30677,
        1.34248,
        1.3746,
        1.35779,
        1.34598,
        1.33367,
        1.37944,
        1.40543,
        1.35765,
        1.33458,
        1.36126,
        1.38733,
        1.37484,
        1.36926,
        1.35238,
        1.36876,
        1.34132,
        1.39809,
        1.40166,
        1.39709,
        1.39204,
        1.36267,
        1.34554,
        1.33735,
        1.31,
        1.33694,
        1.36341,
        1.29625,
        1.29015,
        1.29515,
        1.35098,
        1.3542,
        1.31088,
        1.33087,
        1.3132,
        1.33815,
        1.36221,
        1.32566,
        1.33473,
        1.34645,
        1.2895,
        1.2755,
        1.30711,
        1.35493,
        1.3384,
        1.32143,
        1.29484,
        1.3118,
        1.30169,
        1.24925,
        1.25235,
        1.28669,
        1.28681,
        1.26097,
        1.28117,
        1.29666,
        1.32491,
        1.29543,
        1.32105,
        1.33044,
        1.34594,
        1.33442,
        1.32335,
        1.33572,
        1.33129,
        1.34095,
        1.30407,
        1.34524,
        1.34854,
        1.35029,
        1.35357,
        1.3621,
        1.34198,
        1.37915,
        1.39096,
        1.32847,
        1.31972,
        1.36987,
        1.37322,
        1.34041,
        1.32766,
        1.33607,
        1.32608,
        1.33677,
        1.37183,
        1.35656,
        1.36052,
        1.35774,
        1.35396,
        1.3704,
        1.35442,
        1.36811,
        1.37976,
        1.35253,
        1.38325,
        1.36841,
        1.33714,
        1.34926,
        1.36608,
        1.30716,
        1.33349,
        1.33255,
        1.33008,
        1.30411,
        1.32765,
        1.33944,
        1.31999,
        1.31737,
        1.35246,
        1.2837,
        1.34872,
        1.29849,
        1.27411,
        1.3427,
        1.32708,
        1.356,
        1.35126,
        1.38372,
        1.39472,
        1.35032,
        1.34209,
        1.37637,
        1.39114,
        1.36287,
        1.37647,
        1.37973,
        1.39127,
        1.38463,
        1.39306,
        1.4002,
        1.41303,
        1.4175,
        1.42527,
        1.40331,
        1.43307,
        1.41239,
        1.40297,
        1.34948,
        1.37941,
        1.38388,
        1.38964,
        1.37107,
        1.34036,
        1.33383,
        1.36305,
        1.39524,
        1.40587,
        1.42582,
        1.38048,
        1.36386,
        1.37338,
        1.34288,
        1.33506,
        1.38062,
        1.36396,
        1.35957,
        1.35483,
        1.35489,
        1.38761,
        1.35654,
        1.3353,
        1.31313,
        1.31782,
        1.28587,
        1.32753,
        1.36301,
        1.35802,
        1.32327,
        1.30812,
        1.35197,
        1.4131,
        1.34439,
        1.33292,
        1.34431,
        1.29204,
        1.30632,
        1.34516,
        1.34487,
        1.35136,
        1.37289,
        1.35654,
        1.35686,
        1.40232,
        1.40375,
        1.33735,
        1.40996,
        1.41576,
        1.41834,
        1.44646,
        1.40328,
        1.46431,
        1.44803,
        1.41235,
        1.40078,
        1.45561,
        1.45823,
        1.4323,
        1.44696,
        1.4505,
        1.44069,
        1.40479,
        1.41225,
        1.44918,
        1.39611,
        1.35192,
        1.40826,
        1.46949,
        1.47497,
        1.55256,
        1.46113,
        1.48761,
        1.5106,
        1.47471,
        1.56394,
        1.59245,
        1.64159,
        1.58585,
        1.46148,
        1.51329,
        1.40753,
        1.53279,
        1.41647,
        1.45149,
        1.5138,
        1.52725,
        1.45486,
        1.47641,
        1.47927,
        1.40463,
        1.52489,
        1.47529,
        1.42199,
        1.40611,
        1.4272,
        1.39959,
        1.38118,
        1.39703,
        1.29854,
        1.32728,
        1.38698,
        1.41086,
        1.43974,
        1.43147,
        1.39438,
        1.39319,
        1.42784,
        1.43821,
        1.40523,
        1.40716,
        1.42685,
        1.40651,
        1.33344,
        1.30119,
        1.43593,
        1.53827,
        1.46598,
        1.45232,
        1.36539,
        1.43927,
        1.48189,
        1.38453,
        1.24782,
        1.31722,
        1.35646,
        1.3233,
        1.37309,
        1.38471,
        1.36197,
        1.43795,
        1.40544,
        1.38842,
        1.41489,
        1.38385,
        1.41528,
        1.40303,
        1.44212,
        1.41241,
        1.4246,
        1.4342,
        1.36516,
        1.41745,
        1.44599,
        1.37521,
        1.41085,
        1.45327,
        1.44387,
        1.46681,
        1.43279,
        1.45462,
        1.50532,
        1.46895,
        1.47181,
        1.46489,
        1.49001,
        1.49362,
        1.51004,
        1.49212,
        1.52517,
        1.51736,
        1.55153,
        1.56911,
        1.56286,
        1.54766,
        1.58283,
        1.62132,
        1.61227,
        1.54436,
        1.59775,
        1.61008,
        1.54844,
        1.62975,
        1.60533,
        1.6209,
        1.63014,
        1.69419,
        1.7138,
        1.7825,
        1.8165,
        1.7715,
        1.75897,
        1.78792,
        1.79956,
        1.80262,
        1.88247,
        1.92132,
        1.92333,
        1.93219,
        1.89687,
        1.9245,
        1.97304,
        1.98181,
        2.00708,
        2.05924,
        2.04973,
        1.99269,
        2.01927,
        2.03563,
        1.97763,
        2.00843,
        2.01242,
        1.97643,
        2.01829,
        2.02155,
        2.04344,
        2.05646,
        2.05336,
        2.06861,
        2.02472,
        2.02342,
        1.92717,
        1.92321,
        1.92641,
        1.93583,
        1.94736,
        1.96439,
        1.92703,
        1.9321,
        1.95436,
        1.93315,
        1.91134,
        1.96307,
        1.90701,
        1.90334,
        1.90277,
        1.88224,
        1.8592,
        1.87776,
        1.81794,
        1.82524,
        1.80412,
        1.80031,
        1.77439,
        1.79901,
        1.73801,
        1.72781,
        1.74513,
        1.75308,
        1.76993,
        1.72815,
        1.69326,
        1.72379,
        1.73504,
        1.65412,
        1.78523,
        1.69243,
        1.63344,
        1.63705,
        1.67091,
        1.75849,
        1.79662,
        1.66449,
        1.68001,
        1.92618,
        1.68359,
        1.83665,
        1.89131,
        1.71185,
        1.72892,
        1.63817,
        1.47081,
        1.57822,
        1.54981,
        1.51493,
        1.52571,
        1.48146,
        1.41069,
        1.47496,
        1.4589,
        1.48732,
        1.51295,
        1.45208,
        1.42574,
        1.43273,
        1.45748,
        1.46596,
        1.47083,
        1.48769,
        1.47374,
        1.45042,
        1.40935,
        1.38648,
        1.39624,
        1.34789,
        1.34022,
        1.38077,
        1.41802,
        1.31891,
        1.22993,
        1.22293,
        1.43683,
        1.45657,
        1.42316,
        1.40122,
        1.29536,
        1.36748,
        1.38398,
        1.32879,
        1.2924,
        1.3466,
        1.29772,
        1.32223,
        1.31403,
        1.32649,
        1.40776,
        1.33988,
        1.36645,
        1.35805,
        1.35855,
        1.38452,
        1.36958,
        1.34938,
        1.35695,
        1.35263,
        1.36121,
        1.34368,
        1.33942,
        1.36166,
        1.32489,
        1.3512,
        1.33838,
        1.31731,
        1.34171,
        1.3328,
        1.34542,
        1.39684,
        1.36938,
        1.33729,
        1.34424,
        1.37547,
        1.38211,
        1.35159,
        1.36677,
        1.35073,
        1.35237,
        1.35839,
        1.35766,
        1.33633,
        1.36761,
        1.36877,
        1.37753,
        1.42076,
        1.3778,
        1.34954,
        1.32398,
        1.33211,
        1.33742,
        1.33662,
        1.33782,
        1.33225,
        1.38862,
        1.35081,
        1.34502,
        1.35646,
        1.35914,
        1.36386,
        1.38689,
        1.37236,
        1.35163,
        1.36434,
        1.38408,
        1.41835,
        1.37891,
        1.36658,
        1.394,
        1.38041,
        1.36625,
        1.36991,
        1.35629,
        1.35918,
        1.35474,
        1.3603,
        1.37148,
        1.37445,
        1.35662,
        1.33925,
        1.34888,
        1.38096,
        1.34428,
        1.38043,
        1.38616,
        1.4019,
        1.36999,
        1.3317,
        1.36467,
        1.37089,
        1.38381,
        1.35417,
        1.37036,
        1.39114,
        1.40989,
        1.46184,
        1.40901,
        1.39579,
        1.38379,
        1.38385,
        1.39141,
        1.38042,
        1.37685,
        1.37015,
        1.40259,
        1.35496,
        1.36052,
        1.37107,
        1.36154,
        1.35801,
        1.34288,
        1.34425,
        1.33496,
        1.27847,
        1.31833,
        1.39512,
        1.37588,
        1.39172,
        1.39431,
        1.35614,
        1.30391,
        1.32059,
        1.40262,
        1.38274,
        1.3383,
        1.35833,
        1.40248,
        1.35696,
        1.3717,
        1.35646,
        1.33314,
        1.35254,
        1.374,
        1.34029,
        1.35709,
        1.34729,
        1.35342,
        1.35208,
        1.36215,
        1.36816,
        1.32701,
        1.2971,
        1.29952,
        1.3142,
        1.35178,
        1.35598,
        1.31295,
        1.32104,
        1.31819,
        1.2984,
        1.29945,
        1.38993,
        1.35931,
        1.29803,
        1.31387,
        1.3063,
        1.3004,
        1.31201,
        1.30715,
        1.33322,
        1.40957,
        1.43109,
        1.35344,
        1.37806,
        1.29716,
        1.2107,
        1.34059,
        1.31687,
        1.21184,
        1.25658,
        1.33833,
        1.31792,
        1.28149,
        1.28371,
        1.34854,
        1.30248,
        1.29099,
        1.28986,
        1.33715,
        1.32781,
        1.30302,
        1.28333,
        1.26587,
        1.32022,
        1.36116,
        1.33571,
        1.34425,
        1.31281,
        1.33164,
        1.31542,
        1.29933,
        1.33883,
        1.35281,
        1.33899,
        1.3157,
        1.3307,
        1.31316,
        1.2649,
        1.31612,
        1.32731,
        1.29106,
        1.28178,
        1.31448,
        1.30465,
        1.32563,
        1.29897,
        1.309,
        1.33238,
        1.37766,
        1.34858,
        1.37036,
        1.30561,
        1.30484,
        1.34118,
        1.35591,
        1.32234,
        1.3801,
        1.32184,
        1.32189,
        1.30698,
        1.32386,
        1.3456,
        1.3368,
        1.30452,
        1.29481,
        1.33452,
        1.28595,
        1.27282,
        1.31629,
        1.30703,
        1.30197,
        1.26418,
        1.31016,
        1.34977,
        1.32259,
        1.24819,
        1.25459,
        1.25722,
        1.30942,
        1.28726,
        1.29314,
        1.29665,
        1.3104,
        1.30207,
        1.31161,
        1.32904,
        1.3271,
        1.32665,
        1.30509,
        1.32194,
        1.32141,
        1.33595,
        1.32319,
        1.35337,
        1.34117,
        1.31481,
        1.30514,
        1.32038,
        1.31612,
        1.3023,
        1.33755,
        1.33244,
        1.31156,
        1.28456,
        1.30755,
        1.1777,
        1.15547,
        1.31997,
        1.36299,
        1.33703,
        1.32881,
        1.33746,
        1.33015,
        1.36953,
        1.37659,
        1.36327,
        1.34852,
        1.31308,
        1.32844,
        1.35819,
        1.33473,
        1.37757,
        1.33423,
        1.36481,
        1.35152,
        1.35239,
        1.36139,
        1.37358,
        1.37722,
        1.3346,
        1.34733,
        1.36822,
        1.35259,
        1.38121,
        1.36603,
        1.39487,
        1.38161,
        1.3449,
        1.36869,
        1.33431,
        1.37374,
        1.32605,
        1.35265,
        1.37345,
        1.3448,
        1.35163,
        1.38747,
        1.37315,
        1.38755,
        1.4016,
        1.36462,
        1.39095,
        1.39072,
        1.37457,
        1.34652,
        1.36605,
        1.37812,
        1.36212,
        1.3473,
        1.39031,
        1.36622,
        1.3882,
        1.35254,
        1.39193,
        1.45202,
        1.44484,
        1.35813,
        1.36441,
        1.44522,
        1.433,
        1.39249,
        1.45004,
        1.3774,
        1.16769,
        1.29815,
        1.3447,
        1.60185,
        1.39533,
        1.38994,
        1.32281,
        1.40134,
        1.43734,
        1.50411,
        1.4646,
        1.54257,
        1.52989,
        1.57189,
        1.53687,
        1.54507,
        1.48305,
        1.48963,
        1.44812,
        1.49831,
        1.62467,
        1.58519,
        1.61498,
        1.58907,
        1.56964,
        1.61532,
        1.60324,
        1.64673,
        1.66851,
        1.69762,
        1.69966,
        1.72355,
        1.70658,
        1.70772,
        1.74539,
        1.76225,
        1.81044,
        1.82267,
        1.82598,
        1.83517,
        1.79589,
        1.82695,
        1.85833,
        1.86839,
        1.86864,
        1.85507,
        1.88387,
        1.90799,
        1.84834,
        1.89792,
        1.90099,
        1.90214,
        1.84737,
        1.86162,
        1.91775,
        1.95769,
        1.91971,
        1.95709,
        1.94588,
        1.98044,
        1.95566,
        1.89601,
        1.89932,
        1.87797,
        1.81048,
        1.81047,
        1.88102,
        1.84874,
        1.83701,
        1.8162,
        1.81659,
        1.81949,
        1.79411,
        1.77868,
        1.78043,
        1.75156,
        1.75668,
        1.74224,
        1.73029,
        1.74547,
        1.75158,
        1.73913,
        1.72435,
        1.68668,
        1.68403,
        1.6876,
        1.6719,
        1.61116,
        1.60563,
        1.62125,
        1.64002,
        1.66226,
        1.60492,
        1.5493,
        1.59925,
        1.57999,
        1.61368,
        1.61358,
        1.54428,
        1.51049,
        1.52026,
        1.51527,
        1.49541,
        1.51399,
        1.48381,
        1.45076,
        1.49623,
        1.49085,
        1.46963,
        1.49445,
        1.4588,
        1.45895,
        1.46227,
        1.44794,
        1.39145,
        1.40955,
        1.42003,
        1.42359,
        1.38327,
        1.35953,
        1.36332,
        1.36077,
        1.3887,
        1.37431,
        1.41429,
        1.43408,
        1.4004,
        1.35426,
        1.34652,
        1.40624,
        1.38474,
        1.37235,
        1.36395,
        1.35375,
        1.33393,
        1.39067,
        1.36138,
        1.33536,
        1.3396,
        1.33941,
        1.35546,
        1.37406,
        1.36645,
        1.37145,
        1.40103,
        1.38858,
        1.37462,
        1.37378,
        1.34508,
        1.3798,
        1.37915,
        1.358,
        1.33511,
        1.41047,
        1.39,
        1.39335,
        1.31432,
        1.37893,
        1.36352,
        1.32933,
        1.30982,
        1.40723,
        1.40326,
        1.41058,
        1.32277,
        1.35888,
        1.28423,
        1.32158,
        1.35072,
        1.23688,
        1.28087,
        1.29004,
        1.22594,
        1.5462,
        1.5739,
        1.43593,
        1.41562,
        1.35176,
        1.45151,
        1.42402,
        1.31306,
        1.37846,
        1.32042,
        1.345,
        1.42402,
        1.38893,
        1.41307,
        1.38373,
        1.45704,
        1.46464,
        1.39488,
        1.3674,
        1.37061,
        1.32417,
        1.36882,
        1.46334,
        1.41566,
        1.39075,
        1.44654,
        1.39368,
        1.35186,
        1.40065,
        1.36328,
        1.39219,
        1.40641,
        1.3998,
        1.42569,
        1.34618,
        1.38572,
        1.38548,
        1.43309,
        1.45086,
        1.35155,
        1.39746,
        1.38161,
        1.38341,
        1.3676,
        1.3604,
        1.45978,
        1.43384,
        1.36316,
        1.3788,
        1.41884,
        1.40973,
        1.48065,
        1.43842,
        1.4169,
        1.37525,
        1.38985,
        1.3971,
        1.42225,
        1.42115,
        1.39893,
        1.38339,
        1.38158,
        1.36559,
        1.41294,
        1.41368,
        1.44054,
        1.43211,
        1.45928,
        1.38766,
        1.33687,
        1.405,
        1.35568,
        1.38367,
        1.40614,
        1.40309,
        1.45023,
        1.41993,
        1.41759,
        1.40282,
        1.4171,
        1.43565,
        1.40455,
        1.42168,
        1.46206,
        1.44057,
        1.44157,
        1.43612,
        1.41005,
        1.42497,
        1.45222,
        1.44157,
        1.46296,
        1.43518,
        1.45556,
        1.42774,
        1.43398,
        1.43787,
        1.46556,
        1.45076,
        1.4404,
        1.46451,
        1.4775,
        1.43963,
        1.41907,
        1.43216,
        1.43292,
        1.40418,
        1.38703,
        1.42184,
        1.4302,
        1.4152,
        1.40433,
        1.41509,
        1.4317,
        1.40015,
        1.38343,
        1.39903,
        1.3663,
        1.35985,
        1.38214,
        1.38948,
        1.38797,
        1.42514,
        1.39009,
        1.41736,
        1.35587,
        1.38263,
        1.4645,
        1.40741,
        1.39715,
        1.44246,
        1.41379,
        1.43569,
        1.41424,
        1.4618,
        1.35784,
        1.3983,
        1.44761,
        1.42648,
        1.41877,
        1.32484,
        1.38848,
        1.37933,
        1.36882,
        1.3707,
        1.36679,
        1.36396,
        1.38916,
        1.37069,
        1.43077,
        1.42844,
        1.36724,
        1.3376,
        1.2462,
        1.23303,
        1.49719,
        1.30412,
        1.43826,
        1.54612,
        1.36433,
        1.38181,
        1.40348,
        1.41225,
        1.28925,
        1.36234,
        1.4013,
        1.27381,
        2.28951,
        2.16512,
        1.84582,
        1.85679,
        1.61912,
        1.62947,
        1.50872,
        1.39273,
        1.61086,
        1.67563,
        1.58313,
        1.68028,
        1.58202,
        1.74344,
        1.54996,
        1.66754,
        1.72212,
        1.8843,
        1.71124,
        1.67946,
        1.58168,
        1.66094,
        1.60836,
        1.54756,
        1.71465,
        1.62576,
        1.69241,
        1.62978,
        1.7256,
        1.71213,
        1.81441,
        1.6657,
        1.7149,
        1.63626,
        1.68886,
        1.6996,
        1.69837,
        1.63821,
        1.49588,
        1.58809,
        1.69198,
        1.58064,
        1.64366,
        1.75795,
        1.73578,
        1.78886,
        1.66068,
        1.55255,
        1.68251,
        1.56572,
        1.57658,
        1.63538,
        1.60857,
        1.64709,
        1.54679,
        1.59796,
        1.78458,
        1.56603,
        1.44764,
        1.75348,
        1.78507,
        1.70104,
        null,
        2.41479,
        2.23865,
        1.95241,
        2.0189,
        1.90848,
        2.08332,
        2.16793,
        2.07878,
        2.02961,
        2.07627,
        2.10817,
        2.00141,
        2.08414,
        2.11488,
        2.06439,
        2.06965,
        2.06102,
        2.09019,
        2.02184,
        2.05846,
        2.10583,
        2.05905,
        1.95672,
        2.01858,
        2.07475,
        2.0657,
        1.98805,
        2.02112,
        2.0093,
        2.03209,
        2.04963,
        2.04214,
        1.96874,
        1.99642,
        1.92801,
        1.92801,
        1.87397,
        1.9009,
        1.95589,
        1.98442,
        1.91065,
        1.83734,
        1.81927,
        1.86978,
        1.87731,
        1.84056,
        1.80538,
        1.84723,
        1.79382,
        1.79309,
        1.74289,
        1.76049,
        1.69784,
        1.70096,
        1.71081,
        1.73702,
        1.67281,
        1.67777,
        1.6803,
        1.66284,
        1.64831,
        1.66237,
        1.67938,
        1.58338,
        1.68617,
        1.60517,
        1.59508,
        1.59625,
        1.59346,
        1.55895,
        1.5311,
        1.47385,
        1.50981,
        1.46469,
        1.4442,
        1.51022,
        1.50506,
        1.43383,
        1.43186,
        1.46666,
        1.45451,
        1.42879,
        1.46229,
        1.46702,
        1.43407,
        1.39669,
        1.41042,
        1.40176,
        1.41891,
        1.36116,
        1.33003,
        1.29302,
        1.38526,
        1.36734,
        1.36206,
        1.30733,
        1.34321,
        1.31929,
        1.34631,
        1.35313,
        1.32317,
        1.26678,
        1.33716,
        1.28846,
        1.28776,
        1.31802,
        1.36736,
        1.32882,
        1.31832,
        1.32336,
        1.32555,
        1.35277,
        1.35998,
        1.34692,
        1.37821,
        1.3207,
        1.32858,
        1.33033,
        1.32319,
        1.37305,
        1.31279,
        1.29935,
        1.36188,
        1.35576,
        1.3686,
        1.35355,
        1.40749,
        1.3614,
        1.37901,
        1.36286,
        1.35824,
        1.34741,
        1.3669,
        1.39187,
        1.41857,
        1.38567,
        1.31866,
        1.32576,
        1.38215,
        1.40835,
        1.37721,
        1.42425,
        1.39291,
        1.37225,
        1.33208,
        1.36692,
        1.33168,
        1.3689,
        1.36042,
        1.40151,
        1.3253,
        1.33205,
        1.34259,
        1.40919,
        1.39076,
        1.40851,
        1.33314,
        1.33223,
        1.35573,
        1.38868,
        1.36741,
        1.34152,
        1.33462,
        1.369,
        1.36658,
        1.37118,
        1.38004,
        1.43625,
        1.45578,
        1.46301,
        1.29968,
        1.65797,
        1.36931,
        1.31028,
        1.31478,
        1.41107,
        1.51151,
        1.33332,
        1.25777,
        1.32688,
        1.43814,
        1.52577,
        1.4801,
        1.4515,
        1.36129,
        1.34093,
        1.34664,
        1.38316,
        1.37218,
        1.35756,
        1.40809,
        1.42223,
        1.38831,
        1.37192,
        1.41048,
        1.37798,
        1.42433,
        1.39641,
        1.36024,
        1.39979,
        1.4187,
        1.40005,
        1.35884,
        1.40565,
        1.40148,
        1.40002,
        1.41759,
        1.43508,
        1.44759,
        1.38417,
        1.33903,
        1.37729,
        1.31,
        1.3278,
        1.40136,
        1.36973,
        1.34998,
        1.25366,
        1.30101,
        1.29632,
        1.35533,
        1.32966,
        1.36734,
        1.40301,
        1.35375,
        1.38385,
        1.39455,
        1.38179,
        1.34723,
        1.3808,
        1.3801,
        1.35195,
        1.33869,
        1.34897,
        1.29353,
        1.30058,
        1.26525,
        1.35692,
        1.39177,
        1.32794,
        1.3735,
        1.31726,
        1.32545,
        1.32008,
        1.3718,
        1.32725,
        1.38344,
        1.36623,
        1.34875,
        1.29809,
        1.30724,
        1.38262,
        1.41253,
        1.35956,
        1.35603,
        1.31252,
        1.35135,
        1.3417,
        1.35871,
        1.34522,
        1.34821,
        1.40293,
        1.40584,
        1.30639,
        1.38665,
        1.36377,
        1.3206,
        1.28609,
        1.34709,
        1.31608,
        1.36924,
        1.41318,
        1.42587,
        1.34981,
        1.37735,
        1.41095,
        1.4345,
        1.46765,
        1.3848,
        1.39383,
        1.40882,
        1.33053,
        1.40476,
        1.43217,
        1.36594,
        1.35899,
        1.38282,
        1.43505,
        1.40833,
        1.3969,
        1.41917,
        1.42286,
        1.36509,
        1.38589,
        1.40423,
        1.36407,
        1.40798,
        1.37831,
        1.36864,
        1.31694,
        1.30445,
        1.35631,
        1.39906,
        1.41487,
        1.46833,
        1.39628,
        1.42371,
        1.42753,
        1.41789,
        1.45457,
        1.48513,
        1.40375,
        1.5324,
        1.45016,
        1.45727,
        1.43278,
        1.49398,
        1.50441,
        1.50528,
        1.38534,
        1.38341,
        1.50513,
        1.47023,
        1.49174,
        1.47775,
        1.43013,
        1.39597,
        1.38569,
        1.3395,
        1.37986,
        1.46086,
        1.34326,
        1.37551,
        1.43038,
        1.23877,
        1.42238,
        1.52514,
        1.41635,
        1.35948,
        1.5361,
        null,
        1.6156,
        1.60911,
        1.56077,
        1.52343,
        1.52995,
        1.53346,
        1.51726,
        1.54629,
        1.55443,
        1.49602,
        1.47696,
        1.48229,
        1.50993,
        1.48862,
        1.47826,
        1.46169,
        1.43166,
        1.41527,
        1.39967,
        1.43681,
        1.4294,
        1.42005,
        1.43322,
        1.42785,
        1.38537,
        1.38221,
        1.36998,
        1.37355,
        1.36159,
        1.38786,
        1.39796,
        1.39419,
        1.36625,
        1.37545,
        1.36764,
        1.32816,
        1.35815,
        1.32463,
        1.3301,
        1.37758,
        1.352,
        1.37121,
        1.36624,
        1.39305,
        1.3883,
        1.37396,
        1.35349,
        1.36573,
        1.39017,
        1.34148,
        1.36154,
        1.41937,
        1.38547,
        1.36989,
        1.35113,
        1.33549,
        1.36179,
        1.37512,
        1.41057,
        1.46505,
        1.4139,
        1.3705,
        1.37362,
        1.38461,
        1.35683,
        1.352,
        1.37814,
        1.37999,
        1.39747,
        1.38638,
        1.38085,
        1.34864,
        1.40113,
        1.37763,
        1.3724,
        1.36348,
        1.37154,
        1.32262,
        1.29834,
        1.30739,
        1.34759,
        1.38066,
        1.35648,
        1.35761,
        1.3934,
        1.33413,
        1.29886,
        1.31163,
        1.28299,
        1.23748,
        1.32886,
        1.37492,
        1.3915,
        1.36393,
        1.34423,
        1.28597,
        1.29363,
        1.2864,
        1.38071,
        1.24635,
        1.18932,
        1.31967,
        1.32399,
        1.55852,
        1.31499,
        1.43044,
        1.37504,
        1.32993,
        1.34875,
        1.27648,
        1.27786,
        1.33253,
        1.35435,
        1.36411,
        1.34053,
        1.38082,
        1.32943,
        1.29708,
        1.35788,
        1.33316,
        1.35136,
        1.34485,
        1.36901,
        1.38804,
        1.36114,
        1.35519,
        1.36926,
        1.34436,
        1.37877,
        1.39958,
        1.40382,
        1.37646,
        1.40998,
        1.41209,
        1.37535,
        1.40113,
        1.40339,
        1.37791,
        1.40106,
        1.40311,
        1.36537,
        1.42681,
        1.41886,
        1.41212,
        1.40499,
        1.38455,
        1.41305,
        1.44537,
        1.4188,
        1.4144,
        1.42752,
        1.43585,
        1.41934,
        1.44893,
        1.4297,
        1.44493,
        1.45611,
        1.42874,
        1.43334,
        1.43606,
        1.44597,
        1.45405,
        1.44102,
        1.39536,
        1.39109,
        1.43119,
        1.40915,
        1.40523,
        1.42823,
        1.43306,
        1.43928,
        1.45183,
        1.43732,
        1.39307,
        1.41433,
        1.41913,
        1.39955,
        1.39361,
        1.39641,
        1.3892,
        1.40617,
        1.41005,
        1.4123,
        1.43396,
        1.427,
        1.41257,
        1.40204,
        1.39239,
        1.42774,
        1.41892,
        1.42033,
        1.40181,
        1.43075,
        1.38911,
        1.41896,
        1.39252,
        1.37805,
        1.40073,
        1.40055,
        1.36663,
        1.33894,
        1.37192,
        1.37816,
        1.37076,
        1.38993,
        1.409,
        1.40609,
        1.36141,
        1.32947,
        1.3436,
        1.34123,
        1.35159,
        1.30756,
        1.33829,
        1.34523,
        1.35994,
        1.29925,
        1.31242,
        1.32225,
        1.3306,
        1.33098,
        1.32735,
        1.31114,
        1.32052,
        1.32915,
        1.31096,
        1.3693,
        1.32828,
        1.3391,
        1.33839,
        1.31882,
        1.33815,
        1.34597,
        1.37713,
        1.37236,
        1.33457,
        1.35972,
        1.32628,
        1.32633,
        1.33176,
        1.34602,
        1.32983,
        1.30052,
        1.28565,
        1.34192,
        1.31657,
        1.30285,
        1.33037,
        1.35826,
        1.27555,
        1.27935,
        1.37102,
        1.26858,
        1.26988,
        1.3519,
        1.36697,
        1.32979,
        1.18732,
        1.1861,
        1.18034,
        1.18159,
        1.37745,
        1.31406,
        1.29936,
        1.27491,
        1.27367,
        1.31973,
        1.29092,
        1.29,
        1.35905,
        1.34806,
        1.33605,
        1.31148,
        1.29476,
        1.3594,
        1.37759,
        1.33236,
        1.32766,
        1.33853,
        1.36543,
        1.33881,
        1.35023,
        1.34932,
        1.34298,
        1.33919,
        1.34515,
        1.33927,
        1.31899,
        1.34438,
        1.33548,
        1.33486,
        1.30645,
        1.24964,
        1.31992,
        1.31827,
        1.34521,
        1.33426,
        1.37875,
        1.33066,
        1.29699,
        1.30346,
        1.34266,
        1.30519,
        1.32412,
        1.35956,
        1.3913,
        1.36824,
        1.38457,
        1.38493,
        1.38003,
        1.35506,
        1.42373,
        1.42698,
        1.42483,
        1.40939,
        1.42439,
        1.4336,
        1.40872,
        1.43565,
        1.45189,
        1.4718,
        1.47887,
        1.49063,
        1.45942,
        1.45396,
        1.46433,
        1.46997,
        1.48566,
        1.45907,
        1.46443,
        1.48778,
        1.49511,
        1.4607,
        1.4895,
        1.47323,
        1.47051,
        1.48851,
        1.4962,
        1.5373,
        1.51034,
        1.52106,
        1.52991,
        1.48104,
        1.28707,
        1.51539,
        1.55649,
        1.57636,
        1.53796,
        1.52464,
        1.55572,
        1.53737,
        1.5269,
        1.52137,
        1.50198,
        1.53504,
        1.5371,
        1.48143,
        1.49413,
        1.49506,
        1.49088,
        1.51498,
        1.49914,
        1.50184,
        1.54145,
        1.52472,
        1.54589,
        1.56542,
        1.58349,
        1.57514,
        1.53437,
        1.56138,
        1.55927,
        1.584,
        1.61038,
        1.59946,
        1.58794,
        1.6095,
        1.60013,
        1.5989,
        1.62904,
        1.65727,
        1.62122,
        1.62676,
        1.61993,
        1.59474,
        1.57415,
        1.63553,
        1.6706,
        1.63654,
        1.63902,
        1.58525,
        1.60402,
        1.64948,
        1.67864,
        1.59401,
        1.7087,
        1.63206,
        1.72269,
        1.72417,
        1.75728,
        1.76705,
        1.68567,
        1.74116,
        1.81526,
        1.76857,
        1.73677,
        1.71227,
        1.82159,
        1.78515,
        1.8386,
        1.86444,
        1.85096,
        1.63468,
        1.98921,
        2.02865,
        1.87556,
        2.08455,
        2.02491,
        1.78262,
        1.78117,
        1.80524,
        1.86178,
        1.91976,
        1.8251,
        1.69885,
        1.71517,
        1.82918,
        1.77607,
        1.69792,
        1.67857,
        1.7306,
        1.71891,
        1.73641,
        1.76484,
        1.78758,
        1.76372,
        1.77759,
        1.76895,
        1.66832,
        1.65275,
        1.63651,
        1.6202,
        1.68856,
        1.60832,
        1.63175,
        1.59246,
        1.57126,
        1.57709,
        1.60999,
        1.59576,
        1.60164,
        1.57518,
        1.58921,
        1.56203,
        1.58892,
        1.54791,
        1.54472,
        1.54326,
        1.56192,
        1.5662,
        1.52015,
        1.49094,
        1.53233,
        1.4878,
        1.4632,
        1.44954,
        1.45442,
        1.47187,
        1.43521,
        1.42316,
        1.4133,
        1.40125,
        1.39912,
        1.4368,
        1.40461,
        1.39525,
        1.40386,
        1.43747,
        1.41384,
        1.38148,
        1.38636,
        1.40679,
        1.37686,
        1.35768,
        1.39138,
        1.37253,
        1.35602,
        1.38692,
        1.36219,
        1.34092,
        1.35055,
        1.37031,
        1.33782,
        1.35702,
        1.3534,
        1.35562,
        1.40159,
        1.3896,
        1.3635,
        1.33538,
        1.33956,
        1.33586,
        1.36983,
        1.34406,
        1.34771,
        1.32389,
        1.3246,
        1.34657,
        1.31395,
        1.3311,
        1.29903,
        1.28945,
        1.32827,
        1.37468,
        1.35338,
        1.35506,
        1.36883,
        1.36019,
        1.33348,
        1.33921,
        1.29066,
        1.2974,
        1.34048,
        1.36062,
        1.33932,
        1.32424,
        1.34765,
        1.31657,
        1.32553,
        1.32013,
        1.33553,
        1.32639,
        1.38079,
        1.35862,
        1.33313,
        1.31354,
        1.32392,
        1.35278,
        1.32188,
        1.33031,
        1.36068,
        1.34055,
        1.30601,
        1.36296,
        1.30585,
        1.27744,
        1.30576,
        1.32584,
        1.33319,
        1.36539,
        1.38127,
        1.39242,
        1.34404,
        1.38174,
        1.32679,
        1.38504,
        1.358,
        1.38903,
        1.45933,
        1.39382,
        1.36698,
        1.40873,
        1.44779,
        1.41261,
        1.37529,
        1.31741,
        1.26663,
        1.31165,
        1.40397,
        1.44069,
        1.41371,
        1.39813,
        1.30821,
        1.40168,
        1.42474,
        1.45001,
        1.51134,
        1.31895,
        1.55441,
        1.48692,
        1.40092,
        1.32614,
        1.3357,
        1.40765,
        1.43498,
        1.36529,
        1.38299,
        1.41716,
        1.38194,
        1.33882,
        1.40887,
        1.41702,
        1.37352,
        1.38923,
        1.44798,
        1.41581,
        1.36838,
        1.38033,
        1.3832,
        1.38969,
        1.39175,
        1.36475,
        1.38116,
        1.39628,
        1.36616,
        1.34234,
        1.38792,
        1.37314,
        1.32575,
        1.31998,
        1.36383,
        1.36333,
        1.41291,
        1.3947,
        1.32861,
        1.38586,
        1.34282,
        1.31676,
        1.32037,
        1.32667,
        1.3238,
        1.32308,
        1.32133,
        1.32357,
        1.31105,
        1.26356,
        1.31405,
        1.33277,
        1.35502,
        1.32836,
        1.28514,
        1.28459,
        1.33011,
        1.32124,
        1.34093,
        1.34645,
        1.37601,
        1.33851,
        1.36036,
        1.34895,
        1.36647,
        1.43758,
        1.40194,
        1.40394,
        1.39605,
        1.41144,
        1.37827,
        1.35325,
        1.32345,
        1.32723,
        1.34291,
        1.36074,
        1.30693,
        1.27093,
        1.33325,
        1.32494,
        1.31978,
        1.36197,
        1.35914,
        1.3662,
        1.31952,
        1.28326,
        1.22432,
        1.31185,
        1.32848,
        1.33998,
        1.37696,
        1.35537,
        1.35416,
        1.37382,
        1.32922,
        1.33777,
        1.34956,
        1.33133,
        1.30866,
        1.34887,
        1.36548,
        1.35975,
        1.34638,
        1.32607,
        1.34113,
        1.32403,
        1.29171,
        1.35514,
        1.34878,
        1.31311,
        1.288,
        1.31978,
        1.32065,
        1.33362,
        1.34169,
        1.31567,
        1.30011,
        1.32589,
        1.34528,
        1.30906,
        1.30451,
        1.30371,
        1.32922,
        1.30894,
        1.33677,
        1.36583,
        1.34243,
        1.32674,
        1.33083,
        1.34589,
        1.37637,
        1.33482,
        1.30081,
        1.31282,
        1.36058,
        1.3146,
        1.30056,
        1.32189,
        1.32226,
        1.33422,
        1.34868,
        1.31847,
        1.36908,
        1.32455,
        1.32385,
        1.33018,
        1.32714,
        1.32644,
        1.35365,
        1.37928,
        1.29692,
        1.34314,
        1.40991,
        1.39853,
        1.36655,
        1.41481,
        1.33906,
        1.31014,
        1.34948,
        1.28803,
        1.39019,
        1.36227,
        1.14174,
        1.16961,
        1.40677,
        1.29115,
        1.43116,
        1.4914,
        1.32784,
        1.29759,
        1.33329,
        1.33822,
        1.4057,
        1.40876,
        1.33261,
        1.35861,
        1.35364,
        1.36746,
        1.37142,
        1.3757,
        1.3717,
        1.41725,
        1.37227,
        1.38075,
        1.36811,
        1.39326,
        1.39949,
        1.42652,
        1.4036,
        1.3784,
        1.39653,
        1.46625,
        1.43552,
        1.43731,
        1.44103,
        1.41012,
        1.39668,
        1.44174,
        1.46106,
        1.46392,
        1.4969,
        1.48435,
        1.50611,
        1.49272,
        1.50418,
        1.50315,
        1.50649,
        1.51737,
        1.52442,
        1.5522,
        1.54724,
        1.58334,
        1.55131,
        1.54531,
        1.58921,
        1.59796,
        1.56683,
        1.56299,
        1.56805,
        1.54699,
        1.59529,
        1.56421,
        1.58295,
        1.6018,
        1.59339,
        1.56846,
        1.57318,
        1.59084,
        1.57631,
        1.54469,
        1.52705,
        1.52511,
        1.53356,
        1.5357,
        1.54946,
        1.52216,
        1.52925,
        1.56921,
        1.5584,
        1.55793,
        1.56743,
        1.5182,
        1.51808,
        1.5019,
        1.52174,
        1.51964,
        1.53638,
        1.50941,
        1.5671,
        1.5726,
        1.55338,
        1.54863,
        1.56864,
        1.55523,
        1.56387,
        1.57956,
        1.58253,
        1.60468,
        1.54573,
        1.5389,
        1.56686,
        1.53862,
        1.55725,
        1.53247,
        1.53188,
        1.56231,
        1.55716,
        1.58101,
        1.58413,
        1.52587,
        1.56013,
        1.57085,
        1.57286,
        1.55629,
        1.56573,
        1.54514,
        1.54625,
        1.53339,
        1.53738,
        1.52149,
        1.53237,
        1.54095,
        1.52129,
        1.51649,
        1.4803,
        1.47332,
        1.50209,
        1.51053,
        1.51169,
        1.54027,
        1.50142,
        1.53226,
        1.51766,
        1.51933,
        1.52729,
        1.53231,
        1.52206,
        1.54344,
        1.5766,
        1.56451,
        1.51415,
        1.5865,
        1.52758,
        1.53649,
        1.54679,
        1.55139,
        1.56702,
        1.60043,
        1.59884,
        1.6533,
        1.71502,
        1.69902,
        1.70715,
        1.73341,
        1.75511,
        1.7448,
        1.76098,
        1.81629,
        1.79694,
        1.80543,
        1.84001,
        1.91096,
        1.8395,
        1.75898,
        1.85059,
        1.89014,
        1.81052,
        1.82808,
        1.74711,
        1.73555,
        1.71617,
        1.76796,
        2.10498,
        1.85596,
        2.01435,
        1.89599,
        1.81361,
        1.74806,
        1.8416,
        1.8485,
        1.84437,
        1.83005,
        1.86193,
        1.8511,
        1.82326,
        1.74195,
        1.69666,
        1.70814,
        1.67493,
        1.75231,
        1.72742,
        1.71969,
        1.7181,
        1.72898,
        1.7331,
        1.6828,
        1.6503,
        1.65306,
        1.61259,
        1.60557,
        1.59959,
        1.61918,
        1.6166,
        1.59433,
        1.5765,
        1.59841,
        1.57487,
        1.59446,
        1.51677,
        1.49129,
        1.53452,
        1.51254,
        1.47943,
        1.49788,
        1.49824,
        1.51782,
        1.4734,
        1.48674,
        1.45922,
        1.43308,
        1.41729,
        1.4457,
        1.4155,
        1.39735,
        1.38743,
        1.3846,
        1.35913,
        1.3634,
        1.3387,
        1.34301,
        1.37012,
        1.40469,
        1.37526,
        1.38425,
        1.39977,
        1.382,
        1.38042,
        1.37178,
        1.38154,
        1.37653,
        1.36644,
        1.34913,
        1.36141,
        1.40528,
        1.40442,
        1.41497,
        1.40039,
        1.39524,
        1.42469,
        1.41877,
        1.39886,
        1.3923,
        1.43818,
        1.40541,
        1.41386,
        1.42962,
        1.40769,
        1.40496,
        1.4082,
        1.40539,
        1.43582,
        1.41201,
        1.41766,
        1.41484,
        1.451,
        1.44814,
        1.4751,
        1.45079,
        1.40209,
        1.42235,
        1.4019,
        1.43386,
        1.46461,
        1.42234,
        1.44121,
        1.43666,
        1.44503,
        1.45496,
        1.43051,
        1.41882,
        1.43899,
        1.4384,
        1.43281,
        1.39857,
        1.40226,
        1.40921,
        1.38799,
        1.37353,
        1.33719,
        1.35982,
        1.36581,
        1.38113,
        1.39574,
        1.41972,
        1.40365,
        1.39619,
        1.39342,
        1.38643,
        1.39,
        1.3954,
        1.39783,
        1.38522,
        1.4131,
        1.3697,
        1.32539,
        1.35259,
        1.37831,
        1.38991,
        1.3858,
        1.38312,
        1.3938,
        1.39872,
        1.36155,
        1.37665,
        1.40644,
        1.37983,
        1.35108,
        1.37386,
        1.34484,
        1.36134,
        1.34596,
        1.39328,
        1.31474,
        1.32387,
        1.31551,
        1.32874,
        1.36143,
        1.31131,
        1.29443,
        1.35667,
        1.31829,
        1.30589,
        1.27177,
        1.30017,
        1.24295,
        1.34025,
        1.36381,
        1.33784,
        1.27614,
        1.27398,
        1.26061,
        1.37005,
        1.39365,
        1.17496,
        1.24737,
        1.42202,
        1.43805,
        1.42455,
        1.33396,
        1.35531,
        1.32667,
        1.25792,
        1.29392,
        1.25509,
        1.34043,
        1.36578,
        1.32629,
        1.3079,
        1.33008,
        1.3074,
        1.31127,
        1.33596,
        1.35668,
        1.3435,
        1.33554,
        1.29696,
        1.32285,
        1.34495,
        1.33544,
        1.34058,
        1.32913,
        1.28885,
        1.31878,
        1.32206,
        1.31239,
        1.33003,
        1.31835,
        1.33248,
        1.39785,
        1.35602,
        1.33063,
        1.3288,
        1.31328,
        1.36933,
        1.39596,
        1.35542,
        1.3298,
        1.35542,
        1.34991,
        1.34124,
        1.30291,
        1.28283,
        1.30635,
        1.32783,
        1.32027,
        1.34464,
        1.34733,
        1.30307,
        1.2664,
        1.29835,
        1.35074,
        1.3233,
        1.33567,
        1.3119,
        1.34658,
        1.40179,
        1.33047,
        1.31462,
        1.31613,
        1.36711,
        1.38381,
        1.36454,
        1.37303,
        1.36874,
        1.33534,
        1.35092,
        1.39017,
        1.36941,
        1.38848,
        1.41352,
        1.39522,
        1.38058,
        1.37739,
        1.36134,
        1.37037,
        1.36261,
        1.40187,
        1.43628,
        1.40752,
        1.40126,
        1.43329,
        1.42863,
        1.42076,
        1.45115,
        1.42442,
        1.42746,
        1.42491,
        1.43533,
        1.42263,
        1.42628,
        1.4219,
        1.42634,
        1.40215,
        1.40892,
        1.41922,
        1.38185,
        1.38232,
        1.39282,
        1.41445,
        1.39696,
        1.37993,
        1.39402,
        1.39613,
        1.40693,
        1.41583,
        1.39699,
        1.38132,
        1.35592,
        1.38424,
        1.37594,
        1.39209,
        1.37004,
        1.35792,
        1.36479,
        1.38202,
        1.35981,
        1.41612,
        1.39859,
        1.36249,
        1.35282,
        1.40673,
        1.40947,
        1.3774,
        1.40388,
        1.41171,
        1.37376,
        1.38577,
        1.37827,
        1.37848,
        1.42313,
        1.41506,
        1.43411,
        1.407,
        1.37784,
        1.39308,
        1.408,
        1.36449,
        1.40102,
        1.40806,
        1.4497,
        1.44141,
        1.4324,
        1.39132,
        1.39851,
        1.43236,
        1.40907,
        1.41462,
        1.41744,
        1.41844,
        1.36181,
        1.40226,
        1.37559,
        1.36924,
        1.41305,
        1.41745,
        1.40019,
        1.34134,
        1.31758,
        1.34739,
        1.41953,
        1.36833,
        1.3397,
        1.43146,
        1.3425,
        1.36063,
        1.34017,
        1.3078,
        1.40845,
        1.37663,
        1.41291,
        1.5246,
        1.41489,
        1.35755,
        1.41898,
        1.44489,
        1.47354,
        1.49138,
        1.4492,
        1.43068,
        1.42631,
        1.45308,
        1.4951,
        1.44906,
        1.45488,
        1.49259,
        1.50393,
        1.48452,
        1.48095,
        1.51589,
        1.46145,
        1.53062,
        1.50648,
        1.49401,
        1.47396,
        1.52026,
        1.52246,
        1.49512,
        1.53306,
        1.55881,
        1.56963,
        1.58437,
        1.59781,
        1.57288,
        1.57819,
        1.57645,
        1.57511,
        1.59198,
        1.61056,
        1.58377,
        1.58634,
        1.59302,
        1.58284,
        1.60112,
        1.54867,
        1.55137,
        1.56542,
        1.55108,
        1.53376,
        1.58075,
        1.53788,
        1.56544,
        1.59081,
        1.58585,
        1.58195,
        1.60488,
        1.627,
        1.61631,
        1.61245,
        1.63851,
        1.62643,
        1.65112,
        1.65911,
        1.68169,
        1.6505,
        1.63378,
        1.64796,
        1.63791,
        1.64643,
        1.64536,
        1.61542,
        1.63109,
        1.61432,
        1.60598,
        1.60316,
        1.58139,
        1.56626,
        1.60953,
        1.62095,
        1.61134,
        1.61143,
        1.5796,
        1.63775,
        1.65887,
        1.63484,
        1.6536,
        1.59946,
        1.60816,
        1.62696,
        1.59073,
        1.53124,
        1.52824,
        1.55027,
        1.52918,
        1.50924,
        1.54195,
        1.51351,
        1.56264,
        1.58083,
        1.56006,
        1.4817,
        1.48443,
        1.52689,
        1.57265,
        1.58932,
        1.6188,
        1.54934,
        1.61517,
        1.75479,
        1.80249,
        1.80757,
        2.14375,
        2.11983,
        2.09727,
        1.9203,
        1.74649,
        1.7374,
        1.78043,
        1.66543,
        1.56081,
        1.72109,
        1.79951,
        1.76458,
        1.74365,
        1.65781,
        1.74832,
        1.76423,
        1.67719,
        1.68132,
        1.72243,
        1.77487,
        1.71797,
        1.67332,
        1.72937,
        1.81812,
        1.75983,
        1.67325,
        1.71066,
        1.79969,
        1.82355,
        1.76955,
        1.87074,
        1.81946,
        1.7705,
        1.76482,
        1.84368,
        1.87616,
        1.87804,
        1.89837,
        1.93837,
        1.93556,
        1.94324,
        1.96331,
        1.93282,
        1.88379,
        1.85241,
        1.91035,
        1.91449,
        1.95446,
        1.94337,
        1.9774,
        1.92301,
        1.86423,
        1.85929,
        2.00864,
        2.01063,
        1.98689,
        2.38754,
        2.02321,
        1.88229,
        1.78382,
        1.86577,
        1.74862,
        1.7846,
        1.88229,
        1.8752,
        1.81226,
        1.87943,
        1.87507,
        1.86672,
        1.89248,
        1.82009,
        1.74791,
        1.7785,
        1.79633,
        1.78562,
        1.81048,
        1.80053,
        1.76674,
        1.74978,
        1.75774,
        1.72004,
        1.72214,
        1.722,
        1.71386,
        1.68558,
        1.716,
        1.65702,
        1.68958,
        1.63247,
        1.63003,
        1.56909,
        1.64179,
        1.6527,
        1.61481,
        1.63514,
        1.68364,
        1.65264,
        1.65983,
        1.60167,
        1.57213,
        1.50023,
        1.56226,
        1.5127,
        1.54753,
        1.59808,
        1.5702,
        1.53102,
        1.53141,
        1.48782,
        1.48795,
        1.49763,
        1.48247,
        1.45737,
        1.46017,
        1.48316,
        1.51187,
        1.44098,
        1.39139,
        1.41154,
        1.39534,
        1.41152,
        1.47957,
        1.46221,
        1.41174,
        1.43795,
        1.45127,
        1.41686,
        1.40912,
        1.42469,
        1.39504,
        1.39515,
        1.44385,
        1.41419,
        1.38131,
        1.40863,
        1.40807,
        1.41207,
        1.40628,
        1.43346,
        1.42911,
        1.404,
        1.37979,
        1.3661,
        1.36457,
        1.37885,
        1.38631,
        1.35843,
        1.3648,
        1.3539,
        1.36579,
        1.42257,
        1.38389,
        1.35512,
        1.37944,
        1.32269,
        1.32215,
        1.39079,
        1.35086,
        1.33186,
        1.34995,
        1.36548,
        1.32661,
        1.34665,
        1.35114,
        1.31376,
        1.30642,
        1.33226,
        1.32626,
        1.37207,
        1.3763,
        1.35376,
        1.36576,
        1.33588,
        1.25957,
        1.31278,
        1.3232,
        1.31498,
        1.31073,
        1.33198,
        1.35165,
        1.30446,
        1.27769,
        1.31917,
        1.31325,
        1.31815,
        1.32627,
        1.34287,
        1.33908,
        1.35408,
        1.34967,
        1.32588,
        1.28407,
        1.34438,
        1.39816,
        1.32521,
        1.33291,
        1.32886,
        1.34059,
        1.29946,
        1.34272,
        1.29576,
        1.27731,
        1.28602,
        1.30447,
        1.35422,
        1.34604,
        1.36622,
        1.31932,
        1.34077,
        1.27039,
        1.30522,
        1.33033,
        1.33215,
        1.28457,
        1.28168,
        1.34892,
        1.333,
        1.30788,
        1.30984,
        1.27595,
        1.27131,
        1.319,
        1.3641,
        1.31938,
        1.29025,
        1.37611,
        1.32877,
        1.4133,
        1.32949,
        1.32774,
        1.29002,
        1.33978,
        1.43478,
        1.3232,
        1.25774,
        1.30076,
        1.30794,
        1.33496,
        1.21048,
        1.39189,
        1.52189,
        1.45456,
        1.29625,
        1.54589,
        1.45986,
        1.3164,
        1.24319,
        1.27054,
        1.25145,
        1.3706,
        1.34488,
        1.37136,
        1.33025,
        1.37305,
        1.47377,
        1.35619,
        1.32802,
        1.35537,
        1.47493,
        1.55865,
        1.553,
        1.42432,
        1.51115,
        1.34153,
        1.37806,
        1.50373,
        1.59769,
        1.54537,
        1.45595,
        1.46569,
        1.43054,
        1.52452,
        1.29246,
        1.43401,
        1.684,
        1.27922,
        1.47627,
        1.54875,
        1.6297,
        1.59933,
        1.53283,
        1.50431,
        1.47796,
        1.53892,
        1.4537,
        1.55426,
        1.49595,
        1.37169,
        1.30181,
        1.46475,
        1.37788,
        1.48159,
        1.43418,
        1.41569,
        1.4003,
        1.43305,
        1.44266,
        1.46125,
        1.41784,
        1.4717,
        1.47152,
        1.4141,
        1.39493,
        1.36688,
        1.38795,
        1.36793,
        1.4162,
        1.46058,
        1.39942,
        1.45743,
        1.39039,
        1.35006,
        1.32873,
        1.41974,
        1.37197,
        1.40469,
        1.38486,
        1.283,
        1.29013,
        1.3821,
        1.40672,
        1.31049,
        1.27335,
        1.33051,
        1.39343,
        1.31184,
        1.35209,
        1.36392,
        1.27849,
        1.30839,
        1.38042,
        1.38155,
        1.31668,
        1.31744,
        1.28787,
        1.40633,
        1.34531,
        1.32116,
        1.38951,
        1.42284,
        1.39451,
        1.40617,
        1.43738,
        1.40643,
        1.3817,
        1.32583,
        1.36733,
        1.39197,
        1.32973,
        1.35806,
        1.40362,
        1.45343,
        1.49326,
        1.49761,
        1.43332,
        1.45196,
        1.43154,
        1.50859,
        1.54636,
        1.46841,
        1.42756,
        1.48753,
        1.4931,
        1.38212,
        1.45753,
        1.46958,
        1.36835,
        1.46784,
        1.53048,
        1.3769,
        1.30674,
        1.56732,
        1.57021,
        1.57604,
        1.47919,
        1.57776,
        1.41596,
        1.58035,
        1.57649,
        1.60646,
        1.47835,
        1.61032,
        1.54787,
        1.64239,
        1.66878,
        1.57019,
        1.52798,
        1.54621,
        1.53101,
        1.60197,
        1.60206,
        1.54862,
        1.57977,
        1.58027,
        1.67834,
        1.60304,
        1.59213,
        1.58133,
        1.53329,
        1.56137,
        1.49459,
        1.55312,
        1.66309,
        1.67987,
        1.64078,
        1.5547,
        1.5814,
        1.59018,
        1.60795,
        1.56759,
        1.60126,
        1.62133,
        1.58384,
        1.60078,
        1.65733,
        1.62992,
        1.57949,
        1.59155,
        1.57162,
        1.57819,
        1.64454,
        1.61206,
        1.60877,
        1.62788,
        1.67981,
        1.59749,
        1.52644,
        1.59746,
        1.59921,
        1.55929,
        1.55414,
        1.6251,
        1.58615,
        1.57299,
        1.53088,
        1.58151,
        1.52183,
        1.51474,
        1.52379,
        1.52915,
        1.50503,
        1.45844,
        1.52561,
        1.48674,
        1.52695,
        1.48293,
        1.50631,
        1.53244,
        1.49962,
        1.58121,
        1.44418,
        1.54052,
        1.51823,
        1.45882,
        1.50375,
        1.47885,
        1.50353,
        1.42441,
        1.53853,
        null,
        1.38977,
        1.35234,
        1.28867,
        1.37591,
        1.35197,
        1.37995,
        1.37158,
        1.37838,
        1.34345,
        1.33508,
        1.32148,
        1.33714,
        1.35859,
        1.35232,
        1.362,
        1.35726,
        1.3561,
        1.36165,
        1.35974,
        1.37409,
        1.40838,
        1.37187,
        1.30719,
        1.34385,
        1.35561,
        1.34629,
        1.3547,
        1.37411,
        1.37241,
        1.40471,
        1.3887,
        1.3498,
        1.33748,
        1.36058,
        1.35007,
        1.37492,
        1.34737,
        1.35386,
        1.3427,
        1.40545,
        1.39359,
        1.38695,
        1.36415,
        1.35443,
        1.37058,
        1.35375,
        1.3396,
        1.3451,
        1.31905,
        1.33808,
        1.37739,
        1.39796,
        1.37421,
        1.35869,
        1.34962,
        1.35664,
        1.31742,
        1.30223,
        1.34935,
        1.36351,
        1.30808,
        1.33206,
        1.33771,
        1.36017,
        1.3531,
        1.32715,
        1.30816,
        1.31077,
        1.35926,
        1.34222,
        1.28706,
        1.29846,
        1.31558,
        1.28955,
        1.29661,
        1.31603,
        1.31335,
        1.29523,
        1.29961,
        1.31101,
        1.30757,
        1.30861,
        1.25472,
        1.29077,
        1.30125,
        1.29993,
        1.29184,
        1.303,
        1.28243,
        1.28476,
        1.29491,
        1.3249,
        1.32546,
        1.32576,
        1.29424,
        1.26426,
        1.28875,
        1.31878,
        1.312,
        1.30873,
        1.32443,
        1.32569,
        1.29082,
        1.30387,
        1.31804,
        1.32738,
        1.30845,
        1.32864,
        1.35281,
        1.34578,
        1.33183,
        1.29734,
        1.30455,
        1.33716,
        1.33967,
        1.32667,
        1.32137,
        1.34143,
        1.33196,
        1.31188,
        1.33366,
        1.34406,
        1.35107,
        1.37518,
        1.36209,
        1.35427,
        1.34663,
        1.35579,
        1.3903,
        1.38733,
        1.35274,
        1.35406,
        1.37553,
        1.37015,
        1.39335,
        1.42117,
        1.40027,
        1.38691,
        1.36376,
        1.40214,
        1.42823,
        1.46561,
        1.46036,
        1.43506,
        1.42398,
        1.45189,
        1.42259,
        1.39972,
        1.42766,
        1.43993,
        1.43547,
        1.45148,
        1.44008,
        1.4674,
        1.45947,
        1.48079,
        1.45523,
        1.46209,
        1.47624,
        1.45097,
        1.46798,
        1.39281,
        1.43423,
        1.42266,
        1.44185,
        1.62147,
        1.53769,
        1.47338,
        1.5088,
        1.5774,
        1.49745,
        1.46082,
        1.45556,
        1.46046,
        1.4284,
        1.43285,
        1.47765,
        1.50136,
        1.4928,
        1.46756,
        1.47155,
        1.49921,
        1.50027,
        1.49596,
        1.4889,
        1.50256,
        1.51038,
        1.50466,
        1.51284,
        1.46866,
        1.4913,
        1.50993,
        1.49154,
        1.52133,
        1.55044,
        1.53603,
        1.50163,
        1.49739,
        1.49701,
        1.52627,
        1.53898,
        1.54124,
        1.52148,
        1.47841,
        1.45376,
        1.49756,
        1.47774,
        1.4719,
        1.44792,
        1.47946,
        1.4189,
        1.43893,
        1.45829,
        1.45452,
        1.43906,
        1.45091,
        1.41115,
        1.4158,
        1.42777,
        1.42884,
        1.40153,
        1.40829,
        1.43784,
        1.41946,
        1.37585,
        1.3226,
        1.37804,
        1.38154,
        1.39462,
        1.42625,
        1.4126,
        1.33748,
        1.34344,
        1.39205,
        1.40122,
        1.39362,
        1.30875,
        1.31536,
        1.30706,
        1.33133,
        1.43487,
        1.44049,
        1.30969,
        1.30238,
        1.36969,
        1.3862,
        1.41156,
        1.34986,
        1.43068,
        1.40852,
        1.30848,
        1.49188,
        1.40201,
        1.43854,
        1.52385,
        1.37137,
        1.29815,
        1.48245,
        1.51201,
        1.52958,
        1.54762,
        1.73225,
        1.69886,
        1.4932,
        1.54329,
        1.55088,
        1.52122,
        1.465,
        1.40595,
        1.46429,
        1.38324,
        1.35916,
        1.41982,
        1.34866,
        1.39014,
        1.37283,
        1.42514,
        1.37615,
        1.41946,
        1.41687,
        1.43177,
        1.38897,
        1.41923,
        1.41297,
        1.52543,
        1.46817,
        1.50286,
        1.5726,
        1.54452,
        1.49181,
        1.60253,
        1.60022,
        1.57145,
        1.51476,
        1.54347,
        1.53207,
        1.5719,
        1.57592,
        1.58552,
        1.61832,
        1.60317,
        1.5935,
        1.59057,
        1.66386,
        1.61878,
        1.61057,
        1.62467,
        1.67867,
        1.71664,
        1.69692,
        1.73807,
        1.67947,
        1.70343,
        1.69937,
        1.69252,
        1.78288,
        1.76809,
        1.83781,
        1.84741,
        1.80322,
        1.81715,
        1.79614,
        1.83157,
        1.82721,
        1.85497,
        1.82414,
        1.79525,
        1.80993,
        1.78748,
        1.86783,
        1.8143,
        1.77212,
        1.79189,
        1.80721,
        1.79148,
        1.82134,
        1.83362,
        1.85139,
        1.83351,
        1.8026,
        1.79847,
        1.82748,
        1.80944,
        1.796,
        1.77515,
        1.75865,
        1.77198,
        1.76746,
        1.78779,
        1.77055,
        1.76874,
        1.7431,
        1.75324,
        1.7642,
        1.76212,
        1.77424,
        1.76625,
        1.69608,
        1.72433,
        1.6934,
        1.67011,
        1.65195,
        1.65689,
        1.61482,
        1.62547,
        1.62516,
        1.6123,
        1.58111,
        1.57334,
        1.58325,
        1.55324,
        1.54647,
        1.56353,
        1.55249,
        1.53053,
        1.53608,
        1.50026,
        1.48279,
        1.4705,
        1.46009,
        1.45446,
        1.42417,
        1.41944,
        1.41057,
        1.43194,
        1.3953,
        1.4047,
        1.40914,
        1.41071,
        1.37277,
        1.35462,
        1.39545,
        1.35016,
        1.3437,
        1.34918,
        1.37687,
        1.37624,
        1.35778,
        1.34153,
        1.33408,
        1.33315,
        1.34916,
        1.32157,
        1.26924,
        1.29268,
        1.31707,
        1.32291,
        1.32237,
        1.32878,
        1.3166,
        1.292,
        1.29454,
        1.30883,
        1.33562,
        1.3158,
        1.29618,
        1.30681,
        1.307,
        1.30339,
        1.31147,
        1.28979,
        1.29263,
        1.32003,
        1.30605,
        1.30509,
        1.31148,
        1.29177,
        1.31265,
        1.28551,
        1.29718,
        1.31289,
        1.32449,
        1.3127,
        1.32421,
        1.32135,
        1.32048,
        1.30947,
        1.31323,
        1.31462,
        1.30063,
        1.32582,
        1.35448,
        1.34051,
        1.33562,
        1.31975,
        1.33583,
        1.30064,
        1.29208,
        1.32629,
        1.35086,
        1.35188,
        1.29467,
        1.30233,
        1.33002,
        1.31732,
        1.29244,
        1.31906,
        1.31344,
        1.32677,
        1.34731,
        1.31505,
        1.28019,
        1.30402,
        1.29725,
        1.29875,
        1.36074,
        1.32923,
        1.32125,
        1.28643,
        1.3179,
        1.31901,
        1.33789,
        1.31434,
        1.32159,
        1.31114,
        1.29834,
        1.32383,
        1.31024,
        1.32802,
        1.2753,
        1.29409,
        1.31137,
        1.30483,
        1.29549,
        1.27198,
        1.27409,
        1.34113,
        1.27844,
        1.35419,
        1.37384,
        1.33896,
        1.34381,
        1.3446,
        1.32757,
        1.34554,
        1.30716,
        1.33049,
        1.35562,
        1.37421,
        1.35578,
        1.36495,
        1.32655,
        1.30778,
        1.34881,
        1.35104,
        1.33356,
        1.35753,
        1.35014,
        1.35948,
        1.32659,
        1.32492,
        1.33087,
        1.34491,
        1.34394,
        1.35727,
        1.38511,
        1.39543,
        1.40224,
        1.3849,
        1.32551,
        1.3489,
        1.38611,
        1.36945,
        1.36302,
        1.34523,
        1.36162,
        1.34272,
        1.32893,
        1.33761,
        1.32377,
        1.30994,
        1.29269,
        1.31062,
        1.32983,
        1.34875,
        1.36757,
        1.35005,
        1.3395,
        1.30387,
        1.31847,
        1.32513,
        1.3408,
        1.36203,
        1.33515,
        1.33843,
        1.32671,
        1.31725,
        1.35869,
        1.38646,
        1.34623,
        1.33552,
        1.33929,
        1.32884,
        1.33107,
        1.32834,
        1.33614,
        1.36158,
        1.33821,
        1.31721,
        1.31927,
        1.31801,
        1.34769,
        1.34193,
        1.3245,
        1.31833,
        1.34038,
        1.34799,
        1.31423,
        1.29592,
        1.30404,
        1.31361,
        1.3852,
        1.35436,
        1.34289,
        1.33662,
        1.34933,
        1.33376,
        1.32908,
        1.34093,
        1.31572,
        1.34051,
        1.31591,
        1.30818,
        1.36875,
        1.32484,
        1.33096,
        1.32303,
        1.34445,
        1.33893,
        1.30869,
        1.31022,
        1.32289,
        1.32082,
        1.30761,
        1.30709,
        1.32167,
        1.31801,
        1.32952,
        1.30121,
        1.34277,
        1.34556,
        1.33823,
        1.33748,
        1.34421,
        1.34163,
        1.37094,
        1.38381,
        1.38997,
        1.38575,
        1.38819,
        1.37807,
        1.43214,
        1.38257,
        1.38994,
        1.39429,
        1.4299,
        1.39376,
        1.40415,
        1.38284,
        1.43804,
        1.42697,
        1.42521,
        1.40165,
        1.48459,
        1.49643,
        1.46964,
        1.45358,
        1.4508,
        1.45758,
        1.44952,
        1.46557,
        1.46399,
        1.54344,
        1.55188,
        1.56067,
        1.58757,
        1.55136,
        1.48291,
        1.57089,
        1.65247,
        1.70822,
        1.73437,
        1.6554,
        1.91919,
        1.76196,
        1.79426,
        1.94071,
        1.77116,
        1.75549,
        1.73486,
        1.62674,
        1.67577,
        1.69273,
        1.66806,
        1.65135,
        1.60651,
        1.56814,
        1.61516,
        1.68747,
        1.67595,
        1.62124,
        1.51435,
        1.53559,
        1.62356,
        1.57497,
        1.51148,
        1.53249,
        1.54845,
        1.56655,
        1.55493,
        1.54174,
        1.54569,
        1.58767,
        1.55405,
        1.53883,
        1.5694,
        1.55607,
        1.56048,
        1.57213,
        1.56433,
        1.56482,
        1.56116,
        1.58299,
        1.57987,
        1.58046,
        1.58421,
        1.58016,
        1.60816,
        1.57788,
        1.57115,
        1.56947,
        1.56702,
        1.56795,
        1.57121,
        1.53967,
        1.5588,
        1.53816,
        1.509,
        1.50621,
        1.53201,
        1.49695,
        1.49596,
        1.48907,
        1.46572,
        1.47337,
        1.47777,
        1.478,
        1.50534,
        1.46398,
        1.46326,
        1.44788,
        1.45258,
        1.43987,
        1.48304,
        1.46444,
        1.43952,
        1.42876,
        1.43493,
        1.39599,
        1.43959,
        1.45164,
        1.42943,
        1.41504,
        1.41866,
        1.42687,
        1.42225,
        1.42732,
        1.42714,
        1.42193,
        1.41641,
        1.40199,
        1.43463,
        1.42948,
        1.42831,
        1.43937,
        1.45158,
        1.44323,
        1.44815,
        1.43583,
        1.43745,
        1.47593,
        1.44837,
        1.41804,
        1.42225,
        1.42809,
        1.42506,
        1.43284,
        1.41149,
        1.39403,
        1.41841,
        1.40163,
        1.43055,
        1.39404,
        1.36413,
        1.39642,
        1.3782,
        1.34966,
        1.35049,
        1.39494,
        1.38269,
        1.36034,
        1.35734,
        1.39376,
        1.38542,
        1.40144,
        1.4122,
        1.40483,
        1.41896,
        1.4328,
        1.41883,
        1.39611,
        1.41202,
        1.40982,
        1.40852,
        1.39805,
        1.40979,
        1.37923,
        1.40766,
        1.40409,
        1.38747,
        1.38879,
        1.35973,
        1.36069,
        1.37415,
        1.32755,
        1.34502,
        1.36152,
        1.35789,
        1.36334,
        1.3596,
        1.35999,
        1.37336,
        1.36067,
        1.3679,
        1.37176,
        1.4022,
        1.40906,
        1.3793,
        1.37941,
        1.39249,
        1.37155,
        1.37722,
        1.38723,
        1.37532,
        1.36695,
        1.35278,
        1.35045,
        1.33843,
        1.30235,
        1.3509,
        1.36971,
        1.36381,
        1.35143,
        1.36305,
        1.35691,
        1.33335,
        1.37017,
        1.40543,
        1.39101,
        1.35655,
        1.36248,
        1.39195,
        1.41732,
        1.38075,
        1.42861,
        1.39555,
        1.39195,
        1.39979,
        1.39863,
        1.42531,
        1.4378,
        1.43426,
        1.42827,
        1.45999,
        1.4373,
        1.46707,
        1.49132,
        1.50611,
        1.53137,
        1.48982,
        1.49511,
        1.55468,
        1.56979,
        1.54621,
        1.58569,
        1.60947,
        1.60697,
        1.63022,
        1.63936,
        1.63635,
        1.63162,
        1.64869,
        1.63145,
        1.68757,
        1.71225,
        1.69632,
        1.73298,
        1.76411,
        1.76412,
        1.77326,
        1.78923,
        1.78144,
        1.79982,
        1.7901,
        1.82368,
        1.81692,
        1.82666,
        1.8219,
        1.79293,
        1.80231,
        1.80165,
        1.79789,
        1.78551,
        1.76996,
        1.76542,
        1.77053,
        1.80093,
        1.78615,
        1.80491,
        1.77879,
        1.78868,
        1.80376,
        1.80127,
        1.78183,
        1.75978,
        1.75782,
        1.76477,
        1.76398,
        1.72653,
        1.74796,
        1.7502,
        1.76247,
        1.7756,
        1.73749,
        1.7299,
        1.70314,
        1.71938,
        1.69776,
        1.67848,
        1.68703,
        1.68089,
        1.67837,
        1.6605,
        1.66582,
        1.64622,
        1.6002,
        1.61222,
        1.60237,
        1.56595,
        1.59566,
        1.58543,
        1.57146,
        1.53453,
        1.51644,
        1.541,
        1.53486,
        1.50738,
        1.51798,
        1.49204,
        1.49509,
        1.46313,
        1.45989,
        1.43405,
        1.43535,
        1.4532,
        1.42606,
        1.39136,
        1.39655,
        1.40903,
        1.42426,
        1.40947,
        1.38836,
        1.38168,
        1.35773,
        1.39237,
        1.34426,
        1.32912,
        1.35015,
        1.35786,
        1.36589,
        1.34384,
        1.37014,
        1.34144,
        1.34614,
        1.3587,
        1.34236,
        1.39097,
        1.34284,
        1.33448,
        1.33259,
        1.34891,
        1.33157,
        1.33346,
        1.30184,
        1.30281,
        1.29738,
        1.32105,
        1.32391,
        1.33972,
        1.31804,
        1.3198,
        1.30661,
        1.31912,
        1.33325,
        1.33376,
        1.33634,
        1.3216,
        1.31074,
        1.33764,
        1.34677,
        1.34009,
        1.30042,
        1.27385,
        1.2821,
        1.28504,
        1.28199,
        1.28711,
        1.27291,
        1.28292,
        1.28901,
        1.27586,
        1.24877,
        1.30585,
        1.25785,
        1.28825,
        1.29533,
        1.26221,
        1.29961,
        1.27778,
        1.30357,
        1.28453,
        1.28479,
        1.32627,
        1.33554,
        1.32982,
        1.30441,
        1.32271,
        1.31892,
        1.31301,
        1.32138,
        1.31762,
        1.32759,
        1.32445,
        1.31792,
        1.3006,
        1.31021,
        1.31816,
        1.31977,
        1.32859,
        1.3096,
        1.26774,
        1.31935,
        1.32148,
        1.30388,
        1.32618,
        1.31477,
        1.31107,
        1.33097,
        1.33303,
        1.31136,
        1.37715,
        1.30745,
        1.30535,
        1.33534,
        1.30468,
        1.2995,
        1.2759,
        1.29323,
        1.28331,
        1.2664,
        1.276,
        1.31692,
        1.27987,
        1.28273,
        1.30706,
        1.29237,
        1.28517,
        1.27374,
        1.28227,
        1.27678,
        1.0273,
        1.27581,
        1.31122,
        1.31791,
        1.3027,
        1.29321,
        1.31178,
        1.31148,
        1.27302,
        1.30051,
        1.31863,
        1.29573,
        1.31103,
        1.30646,
        1.30129,
        1.31821,
        1.33082,
        1.34057,
        1.33473,
        1.34245,
        1.33101,
        1.32988,
        1.33655,
        1.28817,
        1.30665,
        1.33766,
        1.33201,
        1.36089,
        1.37914,
        1.36078,
        1.35576,
        1.35696,
        1.34509,
        1.34635,
        1.34456,
        1.35445,
        1.35269,
        1.35208,
        1.35848,
        1.36554,
        1.36319,
        1.34547,
        1.41033,
        1.40057,
        1.41601,
        1.39355,
        1.3969,
        1.40844,
        1.38768,
        1.37803,
        1.36805,
        1.3682,
        1.35785,
        1.35637,
        1.38074,
        1.37869,
        1.39033,
        1.41437,
        1.41397,
        1.42264,
        1.42502,
        1.42843,
        1.431,
        1.40821,
        1.41009,
        1.39434,
        1.38322,
        1.39429,
        1.38888,
        1.38482,
        1.38629,
        1.39687,
        1.39019,
        1.39388,
        1.42249,
        1.39621,
        1.38911,
        1.36818,
        1.39169,
        1.40562,
        1.44603,
        1.4346,
        1.45165,
        1.44871,
        1.46619,
        1.44779,
        1.45775,
        1.46721,
        1.50565,
        1.46854,
        1.43119,
        1.4484,
        1.46586,
        1.44723,
        1.43204,
        1.42621,
        1.43956,
        1.40816,
        1.41481,
        1.42975,
        1.41136,
        1.4305,
        1.44218,
        1.45911,
        1.44505,
        1.45072,
        1.47243,
        1.46431,
        1.49575,
        1.49765,
        1.45168,
        1.45351,
        1.49625,
        1.47342,
        1.46426,
        1.44736,
        1.47869,
        1.48605,
        1.49714,
        1.50833,
        1.51207,
        1.52742,
        1.53096,
        1.52155,
        1.5238,
        1.53317,
        1.5124,
        1.5024,
        1.5066,
        1.48827,
        1.52599,
        1.50664,
        1.50937,
        1.53211,
        1.52806,
        1.51047,
        1.50456,
        1.50363,
        1.52211,
        1.5086,
        1.53886,
        1.53461,
        1.5279,
        1.51976,
        1.54173,
        1.53631,
        1.5696,
        1.57679,
        1.58457,
        1.55069,
        1.55317,
        1.56293,
        1.55387,
        1.53018,
        1.52591,
        1.5096,
        1.51063,
        1.52251,
        1.51044,
        1.50978,
        1.52936,
        1.48483,
        1.49255,
        1.5159,
        1.51971,
        1.50079,
        1.49506,
        1.47938,
        1.47161,
        1.46456,
        1.49101,
        1.48996,
        1.50866,
        1.51538,
        1.56707,
        1.56783,
        1.58244,
        1.5945,
        1.6025,
        1.60206,
        1.55137,
        1.57403,
        1.55558,
        1.58944,
        1.58672,
        1.57992,
        1.58729,
        1.57175,
        1.57798,
        1.56238,
        1.54114,
        1.55815,
        1.54065,
        1.56147,
        1.52863,
        1.53464,
        1.55243,
        1.55318,
        1.55969,
        1.55736,
        1.56661,
        1.56968,
        1.51934,
        1.49336,
        1.5236,
        1.48136,
        1.49096,
        1.47924,
        1.48127,
        1.47316,
        1.50587,
        1.49853,
        1.48074,
        1.47173,
        1.45032,
        1.4616,
        1.46886,
        1.44774,
        1.43354,
        1.42755,
        1.39192,
        1.4201,
        1.43372,
        1.41547,
        1.42651,
        1.43866,
        1.44068,
        1.42246,
        1.43009,
        1.42744,
        1.43267,
        1.40058,
        1.43514,
        1.43343,
        1.40249,
        1.43508,
        1.42899,
        1.42091,
        1.39525,
        1.4065,
        1.42667,
        1.4269,
        1.41798,
        1.41026,
        1.43994,
        1.40411,
        1.4157,
        1.43044,
        1.42526,
        1.41819,
        1.45552,
        1.40797,
        1.39073,
        1.38442,
        1.38666,
        1.43193,
        1.43624,
        1.41686,
        1.42088,
        1.41038,
        1.37422,
        1.40186,
        1.42403,
        1.39162,
        1.38678,
        1.41741,
        1.37975,
        1.36752,
        1.39365,
        1.36993,
        1.37565,
        1.39713,
        1.41434,
        1.42285,
        1.39563,
        1.39559,
        1.40245,
        1.39481,
        1.3796,
        1.36627,
        1.37711,
        1.35301,
        1.37601,
        1.398,
        1.40632,
        1.42875,
        1.41514,
        1.3892,
        1.41668,
        1.40661,
        1.39569,
        1.36225,
        1.40271,
        1.39697,
        1.38114,
        1.3706,
        1.38898,
        1.39169,
        1.38906,
        1.44511,
        1.43041,
        1.43799,
        1.43031,
        1.37091,
        1.38586,
        1.37823,
        1.3674,
        1.36822,
        1.38557,
        1.40273,
        1.41564,
        1.40631,
        1.4206,
        1.39972,
        1.34197,
        1.33751,
        1.38459,
        1.36425,
        1.36079,
        1.3949,
        1.42074,
        1.38014,
        1.39014,
        1.39775,
        1.35673,
        1.35318,
        1.36171,
        1.34209,
        1.30656,
        1.3403,
        1.3809,
        1.34999,
        1.40228,
        1.43495,
        1.43136,
        1.38047,
        1.4136,
        1.41803,
        1.40326,
        1.40257,
        1.39806,
        1.39769,
        1.40451,
        1.39636,
        1.44997,
        1.40898,
        1.4062,
        1.39268,
        1.4084,
        1.40407,
        1.39877,
        1.40714,
        1.4359,
        1.45278,
        1.45505,
        1.42705,
        1.43994,
        1.44375,
        1.43414,
        1.47449,
        1.48577,
        1.48982,
        1.44804,
        1.50443,
        1.51321,
        1.55668,
        1.51061,
        1.50222,
        1.54752,
        1.5527,
        1.57086,
        1.55483,
        1.56204,
        1.52277,
        1.58142,
        1.59794,
        1.65699,
        1.62998,
        1.5908,
        1.60496,
        1.64843,
        1.65472,
        1.70689,
        1.67706,
        1.64144,
        1.68035,
        1.72627,
        1.73295,
        1.79339,
        1.84447,
        1.84288,
        1.83712,
        1.83515,
        1.79755,
        1.79297,
        1.82336,
        1.8389,
        1.83184,
        1.89529,
        1.87272,
        1.88316,
        1.86247,
        1.87983,
        1.85599,
        1.89137,
        1.90007,
        1.89329,
        1.89868,
        1.85636,
        1.87961,
        1.86613,
        1.8426,
        1.76801,
        1.75456,
        1.85115,
        1.81711,
        1.85797,
        1.86575,
        1.87141,
        1.87418,
        1.80226,
        1.8328,
        1.8999,
        1.8959,
        1.79319,
        1.74308,
        1.82602,
        1.91743,
        1.88097,
        1.7822,
        1.82716,
        1.78428,
        1.94312,
        1.94203,
        1.93191,
        1.99468,
        1.83088,
        1.85583,
        1.79251,
        1.89885,
        1.92169,
        1.75943,
        1.75088,
        2.0884,
        1.65262,
        1.63117,
        1.78004,
        1.77555,
        1.57231,
        1.59878,
        1.52659,
        1.62736,
        1.57828,
        1.59995,
        1.62124,
        1.65924,
        1.58041,
        1.5129,
        1.59203,
        1.59769,
        1.46142,
        1.43723,
        1.42378,
        1.31938,
        1.6018,
        1.61967,
        1.85587,
        1.79722,
        1.41945,
        1.47936,
        1.46874,
        1.5364,
        1.54239,
        1.37886,
        1.44388,
        1.37422,
        1.3589,
        1.41875,
        1.36231,
        1.42932,
        1.52931,
        1.52628,
        1.38,
        1.41419,
        1.40243,
        1.46898,
        1.40784,
        1.38383,
        1.40568,
        1.36943,
        1.34423,
        1.40013,
        1.37406,
        1.42057,
        1.4018,
        1.38972,
        1.3246,
        1.36576,
        1.31627,
        1.41274,
        1.2823,
        1.32909,
        1.37652,
        1.43138,
        1.36279,
        1.34152,
        1.35282,
        1.31696,
        1.43645,
        1.37839,
        1.39954,
        1.45309,
        1.44275,
        1.45626,
        1.42036,
        1.41399,
        1.40122,
        1.40075,
        1.38029,
        1.40591,
        1.37516,
        1.42109,
        1.42035,
        1.4296,
        1.39358,
        1.35719,
        1.35815,
        1.42159,
        1.41672,
        1.4491,
        1.44742,
        1.38482,
        1.38878,
        1.43772,
        1.48956,
        1.46422,
        1.47048,
        1.47662,
        1.46006,
        1.41765,
        1.45154,
        1.51148,
        1.50522,
        1.43345,
        1.40907,
        1.42291,
        1.41707,
        1.41775,
        1.43128,
        1.41769,
        1.40232,
        1.36895,
        1.41456,
        1.44031,
        1.43477,
        1.41948,
        1.36118,
        1.38983,
        1.40073,
        1.46295,
        1.44169,
        1.40328,
        1.39813,
        1.46399,
        1.43738,
        1.38841,
        1.40816,
        1.40397,
        1.42268,
        1.42112,
        1.44582,
        1.39517,
        1.41295,
        1.38519,
        1.39424,
        1.41372,
        1.41873,
        1.47188,
        1.46085,
        1.44219,
        1.43477,
        1.42138,
        1.42121,
        1.42291,
        1.47558,
        1.4498,
        1.43161,
        1.42878,
        1.46678,
        1.4342,
        1.42254,
        1.41221,
        1.41578,
        1.42336,
        1.43625,
        1.47236,
        1.47328,
        1.4296,
        1.43761,
        1.42087,
        1.48994,
        1.46579,
        1.45023,
        1.4459,
        1.47554,
        1.46398,
        1.45769,
        1.42855,
        1.45776,
        1.46661,
        1.46332,
        1.47862,
        1.465,
        1.47599,
        1.42291,
        1.39632,
        1.4079,
        1.45961,
        1.42192,
        1.41706,
        1.4795,
        1.46549,
        1.43629,
        1.42403,
        1.43031,
        1.47893,
        1.4712,
        1.48265,
        1.49485,
        1.55507,
        1.53192,
        1.48478,
        1.40873,
        1.45653,
        1.4385,
        1.48731,
        1.4929,
        1.44919,
        1.45769,
        1.49774,
        1.40565,
        1.44814,
        1.46562,
        1.5372,
        1.49361,
        1.4797,
        1.45168,
        1.44661,
        1.49548,
        1.4406,
        1.48397,
        1.53408,
        1.52261,
        1.522,
        1.55287,
        1.58794,
        1.56138,
        1.51806,
        1.50096,
        1.51245,
        1.5428,
        1.56781,
        1.54669,
        1.55599,
        1.53213,
        1.54555,
        1.52716,
        1.50658,
        1.5298,
        1.56984,
        1.51255,
        1.53068,
        1.51823,
        1.51065,
        1.60783,
        1.64109,
        1.60187,
        1.57689,
        1.56582,
        1.52187,
        1.50275,
        1.51084,
        1.53585,
        1.59824,
        1.57913,
        1.50679,
        1.48862,
        1.52709,
        1.57648,
        1.59466,
        1.58128,
        1.5265,
        1.56234,
        1.56133,
        1.58228,
        1.53149,
        1.54116,
        1.55311,
        1.55506,
        1.54431,
        1.54646,
        1.53655,
        1.52466,
        1.48486,
        1.43301,
        1.46924,
        1.53254,
        1.4952,
        1.52603,
        1.56848,
        1.49324,
        1.44774,
        1.40395,
        1.45953,
        1.44282,
        1.46682,
        1.48207,
        1.44624,
        1.39614,
        1.43132,
        1.44398,
        1.44186,
        1.36267,
        1.35745,
        1.43493,
        1.38794,
        1.3882,
        1.38955,
        1.34487,
        1.37136,
        1.41191,
        1.36822,
        1.37251,
        1.39558,
        1.38861,
        1.37828,
        1.34805,
        1.31402,
        1.34581,
        1.39826,
        1.33825,
        1.33911,
        1.35051,
        1.30529,
        1.33534,
        1.37715,
        1.38107,
        1.344,
        1.3698,
        1.33628,
        1.37236,
        1.34453,
        1.34457,
        1.32676,
        1.36135,
        1.31045,
        1.33285,
        1.29339,
        1.29251,
        1.28808,
        1.32487,
        1.33353,
        1.32187,
        1.30414,
        1.32291,
        1.31108,
        1.32614,
        1.26794,
        1.31989,
        1.30513,
        1.35239,
        1.3439,
        1.29953,
        1.30976,
        1.33004,
        1.35067,
        1.38437,
        1.3735,
        1.2907,
        1.25179,
        1.29583,
        1.34144,
        1.36984,
        1.33977,
        1.32862,
        1.34456,
        1.32338,
        1.2719,
        1.28425,
        1.27999,
        1.30281,
        1.32436,
        1.36234,
        1.30774,
        1.356,
        1.401,
        1.31739,
        1.37255,
        1.37103,
        1.34994,
        1.33604,
        1.30478,
        1.4005,
        1.3609,
        1.37813,
        1.36435,
        1.30514,
        1.31907,
        1.3465,
        1.30067,
        1.37034,
        1.34654,
        1.29748,
        1.3538,
        1.41813,
        1.30397,
        1.32582,
        1.31822,
        1.36876,
        1.36217,
        1.33673,
        1.3873,
        1.39058,
        1.37386,
        1.35926,
        1.3594,
        1.35274,
        1.33835,
        1.32632,
        1.32732,
        1.33115,
        1.29956,
        1.38103,
        1.27318,
        1.37466,
        1.42236,
        1.37421,
        1.31843,
        1.34235,
        1.31336,
        1.33421,
        1.32037,
        1.35533,
        1.30804,
        1.35468,
        1.32991,
        1.32676,
        1.33655,
        1.36504,
        1.32968,
        1.31232,
        1.31165,
        1.2861,
        1.33404,
        1.37719,
        1.41077,
        1.36011,
        1.36933,
        1.37564,
        1.31182,
        1.35734,
        1.46269,
        1.43034,
        1.2837,
        1.31102,
        1.45318,
        1.43277,
        1.46117,
        1.41415,
        1.42974,
        1.44658,
        1.45542,
        1.42603,
        1.4278,
        1.41532,
        1.43259,
        1.45133,
        1.37148,
        1.53423,
        1.34007,
        1.44298,
        1.50678,
        1.4837,
        1.36823,
        1.31847,
        1.61272,
        null,
        1.62663,
        1.58315,
        1.54222,
        1.57806,
        1.64621,
        1.62464,
        1.60972,
        1.57634,
        1.55648,
        1.56128,
        1.61656,
        1.60853,
        1.60851,
        1.6342,
        1.6524,
        1.63906,
        1.63854,
        1.60144,
        1.61762,
        1.62843,
        1.65594,
        1.6232,
        1.60609,
        1.56561,
        1.55206,
        1.5473,
        1.5509,
        1.56169,
        1.59415,
        1.6246,
        1.6183,
        1.59049,
        1.55528,
        1.54738,
        1.63155,
        1.62039,
        1.58592,
        1.55109,
        1.53522,
        1.51827,
        1.5256,
        1.50696,
        1.56671,
        1.56141,
        1.53686,
        1.52704,
        1.59488,
        1.56772,
        1.53467,
        1.54151,
        1.5309,
        1.52752,
        1.56062,
        1.53201,
        1.56093,
        1.52063,
        1.542,
        1.45655,
        1.50014,
        1.46902,
        1.4838,
        1.48118,
        1.48442,
        1.52408,
        1.49306,
        1.48015,
        1.48076,
        1.46019,
        1.4575,
        1.41513,
        1.40893,
        1.41983,
        1.43886,
        1.43642,
        1.4421,
        1.46782,
        1.45388,
        1.34911,
        1.35574,
        1.3864,
        1.41409,
        1.43679,
        1.44923,
        1.37188,
        1.31923,
        1.32269,
        1.40973,
        1.3148,
        1.3723,
        1.40758,
        1.40636,
        1.35699,
        1.3394,
        1.43132,
        1.40191,
        1.38868,
        1.40074,
        1.39268,
        1.36033,
        1.29776,
        1.31883,
        1.31641,
        1.31761,
        1.34565,
        1.35021,
        1.29482,
        1.3636,
        1.39183,
        1.39852,
        1.40655,
        1.44694,
        1.34923,
        1.37237,
        1.41776,
        1.3621,
        1.44845,
        1.47015,
        1.36054,
        1.40653,
        1.46376,
        1.48571,
        1.42223,
        1.48754,
        1.36131,
        1.30576,
        1.55656,
        1.4546,
        1.33607,
        1.30641,
        1.24948,
        1.42473,
        1.61764,
        1.49616,
        1.41337,
        1.3869,
        1.23366,
        1.28709,
        1.21637,
        1.77864,
        1.7903,
        1.66679,
        1.48355,
        1.86443,
        1.87989,
        1.83444,
        1.50605,
        1.4439,
        1.64576,
        1.67999,
        1.579,
        1.33566,
        1.78723,
        1.89036,
        1.80177,
        1.87115,
        2.38176,
        2.16813,
        2.28195,
        2.27858,
        2.12577,
        2.07592,
        2.19841,
        2.22526,
        2.20543,
        2.00885,
        1.9918,
        2.17761,
        2.06081,
        2.07585,
        2.14649,
        2.08316,
        2.06911,
        2.226,
        2.11793,
        2.11879,
        2.16454,
        2.03422,
        2.1174,
        2.01977,
        1.94112,
        2.10549,
        2.19654,
        2.01584,
        2.04332,
        1.93188,
        1.9865,
        2.01264,
        1.91322,
        1.95948,
        2.03919,
        2.05206,
        1.83407,
        1.90504,
        1.89975,
        1.8851,
        1.79768,
        1.79706,
        1.87557,
        1.90061,
        1.85365,
        1.8075,
        1.74753,
        1.76352,
        1.83176,
        1.87427,
        1.79543,
        1.69733,
        1.68627,
        1.63635,
        1.6977,
        1.72324,
        1.65822,
        1.69085,
        1.6209,
        1.67342,
        1.80634,
        1.67099,
        1.64651,
        1.45653,
        1.50575,
        1.52207,
        1.64595,
        1.46175,
        1.39839,
        1.40195,
        1.46808,
        1.52066,
        1.73323,
        1.80666,
        1.60105,
        1.68369,
        1.66399,
        1.41811,
        1.49366,
        1.63593,
        1.57815,
        1.52923,
        1.5194,
        1.75537,
        1.69497,
        1.47022,
        1.63368,
        1.80982,
        null,
        2.13736,
        1.81992,
        1.70026,
        1.7704,
        1.91499,
        1.80544,
        1.64736,
        1.60226,
        1.65898,
        1.7769,
        1.76227,
        1.62556,
        1.57112,
        1.60991,
        1.37662,
        1.51316,
        1.55326,
        1.52992,
        1.51881,
        1.56227,
        1.54682,
        1.58759,
        1.53483,
        1.64377,
        1.60817,
        1.58834,
        1.53682,
        1.54536,
        1.62148,
        1.68404,
        1.6112,
        1.59594,
        1.51065,
        1.57265,
        1.62811,
        1.70251,
        1.57323,
        1.45554,
        1.50943,
        1.56339,
        1.51504,
        1.65024,
        1.58614,
        1.52553,
        1.59446,
        1.62897,
        1.61953,
        1.50922,
        1.51644,
        1.62026,
        1.6154,
        1.58455,
        1.53901,
        1.53798,
        1.61491,
        1.60599,
        1.57881,
        1.54987,
        1.58602,
        1.5846,
        1.54732,
        1.59278,
        1.63386,
        1.61637,
        1.61746,
        1.5286,
        1.46624,
        1.52681,
        1.52657,
        1.50673,
        1.5215,
        1.47316,
        1.51271,
        1.56661,
        1.52432,
        1.58563,
        1.53552,
        1.55284,
        1.56588,
        1.53373,
        1.54306,
        1.48251,
        1.55206,
        1.57876,
        1.58436,
        1.5525,
        1.54543,
        1.56548,
        1.57696,
        1.60109,
        1.59793,
        1.51656,
        1.51829,
        1.47478,
        1.52204,
        1.52002,
        1.54601,
        1.45688,
        1.47444,
        1.44121,
        1.43939,
        1.47359,
        1.4747,
        1.48604,
        1.48099,
        1.40341,
        1.45842,
        1.47029,
        1.46811,
        1.42326,
        1.39911,
        1.40346,
        1.42058,
        1.36944,
        1.3435,
        1.28056,
        1.32429,
        1.37694,
        1.37262,
        1.37645,
        1.3494,
        1.32357,
        1.37758,
        1.36671,
        1.29714,
        1.29836,
        1.33798,
        1.36198,
        1.38923,
        1.38039,
        1.37897,
        1.35083,
        1.35464,
        1.37957,
        1.36542,
        1.37755,
        1.35264,
        1.30298,
        1.35414,
        1.36729,
        1.34338,
        1.4173,
        1.38985,
        1.34344,
        1.41485,
        1.37847,
        1.31015,
        1.31357,
        1.33389,
        1.33982,
        1.32795,
        1.35094,
        1.33954,
        1.33291,
        1.34728,
        1.3529,
        1.3345,
        1.36698,
        1.3615,
        1.33324,
        1.34397,
        1.35125,
        1.34486,
        1.32633,
        1.30244,
        1.29938,
        1.29509,
        1.33782,
        1.35698,
        1.31988,
        1.31957,
        1.30748,
        1.36549,
        1.36824,
        1.3419,
        1.35421,
        1.40937,
        1.37739,
        1.36017,
        1.37198,
        1.34949,
        1.37896,
        1.37021,
        1.36155,
        1.31148,
        1.35551,
        1.2929,
        1.29305,
        1.34248,
        1.36388,
        1.35162,
        1.31613,
        1.33554,
        1.34935,
        1.29954,
        1.31301,
        1.33538,
        1.35323,
        1.34769,
        1.33738,
        1.32007,
        1.33807,
        1.35855,
        1.35369,
        1.31768,
        1.33294,
        1.34272,
        1.33139,
        1.32764,
        1.38534,
        1.35706,
        1.36272,
        1.28971,
        1.33836,
        1.35393,
        1.404,
        1.36171,
        1.3842,
        1.398,
        1.39187,
        1.41236,
        1.38921,
        1.39579,
        1.37025,
        1.29684,
        1.36773,
        1.3627,
        1.33954,
        1.38823,
        1.39616,
        1.43083,
        1.39036,
        1.33819,
        1.32963,
        1.35425,
        1.33771,
        1.35868,
        1.34915,
        1.35664,
        1.37499,
        1.37597,
        1.35603,
        1.38227,
        1.38414,
        1.37722,
        1.37299,
        1.35651,
        1.36882,
        1.34334,
        1.32805,
        1.35395,
        1.34516,
        1.33191,
        1.34219,
        1.34296,
        1.35877,
        1.37092,
        1.33286,
        1.35283,
        1.35713,
        1.34662,
        1.38897,
        1.38883,
        1.31275,
        1.34287,
        1.37566,
        1.36118,
        1.35495,
        1.35613,
        1.36623,
        1.33716,
        1.37713,
        1.35543,
        1.3234,
        1.39021,
        1.39429,
        1.40422,
        1.38575,
        1.38275,
        1.41995,
        1.42841,
        1.40642,
        1.40968,
        1.3882,
        1.39524,
        1.38691,
        1.35654,
        1.34199,
        1.39327,
        1.4059,
        1.40011,
        1.40453,
        1.38963,
        1.35327,
        1.3655,
        1.40164,
        1.40685,
        1.35434,
        1.38691,
        1.39747,
        1.40478,
        1.39343,
        1.40794,
        1.36964,
        1.40469,
        1.39546,
        1.38249,
        1.40823,
        1.40082,
        1.39039,
        1.37966,
        1.36981,
        1.37428,
        1.37392,
        1.37692,
        1.38835,
        1.40392,
        1.41351,
        1.36961,
        1.37088,
        1.38708,
        1.40296,
        1.40331,
        1.4155,
        1.37921,
        1.41618,
        1.48264,
        1.44112,
        1.41168,
        1.432,
        1.46456,
        1.49342,
        1.4665,
        1.48342,
        1.48334,
        1.50495,
        1.48415,
        1.49182,
        1.50068,
        1.50869,
        1.55198,
        1.52957,
        1.52067,
        1.54283,
        1.58801,
        1.62178,
        1.61787,
        1.63076,
        1.62598,
        1.62051,
        1.61776,
        1.65346,
        1.61206,
        1.64213,
        1.64285,
        1.63826,
        1.64037,
        1.61376,
        1.65512,
        1.65131,
        1.73096,
        1.68102,
        1.70104,
        1.7428,
        1.74155,
        1.74585,
        1.77075,
        1.76294,
        1.78932,
        1.76934,
        1.79791,
        1.81491,
        1.80731,
        1.83454,
        1.83704,
        1.82895,
        1.8309,
        1.8327,
        1.79704,
        1.77382,
        1.78804,
        1.81684,
        1.76439,
        1.75395,
        1.76506,
        1.77989,
        1.84179,
        1.79921,
        1.79688,
        1.80502,
        1.79625,
        1.78089,
        1.79323,
        1.7886,
        1.79702,
        1.78775,
        1.82344,
        1.84225,
        1.81633,
        1.78024,
        1.76205,
        1.76004,
        1.73877,
        1.76097,
        1.78673,
        1.768,
        1.79888,
        1.77642,
        1.76846,
        1.77811,
        1.75855,
        1.75255,
        1.71801,
        1.70836,
        1.71292,
        1.65553,
        1.65038,
        1.67889,
        1.64413,
        1.68085,
        1.66609,
        1.6524,
        1.60893,
        1.61792,
        1.60065,
        1.58828,
        1.59522,
        1.58054,
        1.54805,
        1.54529,
        1.54052,
        1.53701,
        1.60662,
        1.57549,
        1.53645,
        1.49571,
        1.49908,
        1.50298,
        1.47712,
        1.44708,
        1.49092,
        1.53491,
        1.47097,
        1.4234,
        1.42332,
        1.42692,
        1.4297,
        1.45648,
        1.45362,
        1.42481,
        1.4221,
        1.42656,
        1.40102,
        1.38838,
        1.41646,
        1.39072,
        1.45876,
        1.42472,
        1.4107,
        1.44104,
        1.4479,
        1.45436,
        1.45739,
        1.43146,
        1.41985,
        1.46877,
        1.43226,
        1.45326,
        1.47469,
        1.42531,
        1.44092,
        1.44336,
        1.49098,
        1.52403,
        1.49992,
        1.47951,
        1.46525,
        1.48083,
        1.52227,
        1.48432,
        1.47888,
        1.48225,
        1.49751,
        1.50198,
        1.45539,
        1.43192,
        1.47677,
        1.47472,
        1.4613,
        1.46275,
        1.46226,
        1.43752,
        1.49249,
        1.46371,
        1.43341,
        1.45208,
        1.45373,
        1.46303,
        1.5204,
        1.4642,
        1.47261,
        1.49358,
        1.49515,
        1.48744,
        1.47201,
        1.44185,
        1.47796,
        1.4487,
        1.44669,
        1.42586,
        1.50786,
        1.47985,
        1.4612,
        1.46921,
        1.48628,
        1.50694,
        1.49433,
        1.50479,
        1.51922,
        1.4824,
        1.41974,
        1.41961,
        1.42298,
        1.42248,
        1.43545,
        1.46184,
        1.50384,
        1.48232,
        1.49791,
        1.4611,
        1.46241,
        1.47004,
        1.47052,
        1.47328,
        1.50416,
        1.51963,
        1.49086,
        1.46217,
        1.48358,
        1.44543,
        1.48247,
        1.51942,
        1.49162,
        1.46409,
        1.44479,
        1.48181,
        1.49724,
        1.49656,
        1.47219,
        1.49163,
        1.46882,
        1.41898,
        1.43034,
        1.45185,
        1.47803,
        1.41514,
        1.43406,
        1.43226,
        1.43732,
        1.45136,
        1.42134,
        1.43181,
        1.42023,
        1.43081,
        1.43188,
        1.43925,
        1.4168,
        1.41686,
        1.43297,
        1.40862,
        1.3996,
        1.43679,
        1.41942,
        1.43744,
        1.44137,
        1.47148,
        1.45247,
        1.452,
        1.44459,
        1.44547,
        1.46065,
        1.47666,
        1.46449,
        1.51958,
        1.45743,
        1.45405,
        1.44822,
        1.48833,
        1.44287,
        1.44577,
        1.48166,
        1.45161,
        1.48302,
        1.47302,
        1.48744,
        1.48709,
        1.46112,
        1.44837,
        1.47986,
        1.48448,
        1.50663,
        1.4776,
        1.51646,
        1.46707,
        1.4981,
        1.52159,
        1.47132,
        1.46915,
        1.46481,
        1.4472,
        1.46007,
        1.48942,
        1.4831,
        1.49146,
        1.49045,
        1.47836,
        1.46547,
        1.45981,
        1.44009,
        1.48945,
        1.43133,
        1.46073,
        1.47311,
        1.45114,
        1.44501,
        1.49596,
        1.46598,
        1.48351,
        1.44311,
        1.44147,
        1.45482,
        1.48181,
        1.51153,
        1.48319,
        1.52598,
        1.51419,
        1.5232,
        1.55301,
        1.50117,
        1.46129,
        1.47856,
        1.49612,
        1.4974,
        1.5141,
        1.53904,
        1.50353,
        1.54979,
        1.54696,
        1.53218,
        1.56796,
        1.45714,
        1.44778,
        1.42191,
        1.39583,
        1.40971,
        1.41609,
        1.39946,
        1.4245,
        1.45298,
        1.43723,
        1.43955,
        1.41395,
        1.42068,
        1.44124,
        1.4011,
        1.37738,
        1.38288,
        1.36728,
        1.34224,
        1.35607,
        1.35991,
        1.32046,
        1.33291,
        1.34193,
        1.38189,
        1.33142,
        1.3636,
        1.34857,
        1.33636,
        1.3615,
        1.36885,
        1.35745,
        1.36208,
        1.3076,
        1.346,
        1.31798,
        1.3256,
        1.33953,
        1.37723,
        1.41259,
        1.38597,
        1.36364,
        1.35926,
        1.33023,
        1.33714,
        1.35873,
        1.33561,
        1.33594,
        1.3292,
        1.34241,
        1.32933,
        1.31217,
        1.36251,
        1.3568,
        1.35128,
        1.38321,
        1.36611,
        1.37537,
        1.37039,
        1.33,
        1.34416,
        1.34114,
        1.32253,
        1.32664,
        1.34485,
        1.36313,
        1.34847,
        1.32208,
        1.36789,
        1.37829,
        1.32376,
        1.2926,
        1.31387,
        1.31197,
        1.32937,
        1.30325,
        1.32565,
        1.33145,
        1.32489,
        1.33578,
        1.39411,
        1.38462,
        1.38861,
        1.41329,
        1.36985,
        1.3679,
        1.34602,
        1.3141,
        1.35143,
        1.33264,
        1.314,
        1.33115,
        1.34366,
        1.3363,
        1.35234,
        1.37066,
        1.37262,
        1.38793,
        1.37725,
        1.37171,
        1.39273,
        1.38723,
        1.35771,
        1.35979,
        1.34905,
        1.34911,
        1.37119,
        1.33092,
        1.33788,
        1.37087,
        1.35508,
        1.34346,
        1.37628,
        1.32841,
        1.35081,
        1.34717,
        1.36093,
        1.37068,
        1.3879,
        1.34972,
        1.37937,
        1.33566,
        1.33481,
        1.36428,
        1.3961,
        1.34407,
        1.33926,
        1.31067,
        1.31093,
        1.303,
        1.31104,
        1.30692,
        1.28013,
        1.35915,
        1.39674,
        1.31252,
        1.31538,
        1.31734,
        1.3092,
        1.35048,
        1.40781,
        1.34768,
        1.33486,
        1.32626,
        1.32939,
        1.38618,
        1.34204,
        1.32132,
        1.36958,
        1.33918,
        1.39029,
        1.3769,
        1.3067,
        1.32994,
        1.29741,
        1.34278,
        1.34917,
        1.32555,
        1.35715,
        1.36409,
        1.36184,
        1.32133,
        1.35705,
        1.41681,
        1.42861,
        1.39435,
        1.28271,
        1.28805,
        1.447,
        1.41279,
        1.56176,
        1.56429,
        1.41704,
        1.62926,
        1.84537,
        1.87818,
        1.81237,
        1.63018,
        1.48416,
        1.37309,
        1.45457,
        1.36092,
        1.55236,
        1.50294,
        1.56163,
        1.45167,
        1.50945,
        1.37095,
        1.44957,
        1.35283,
        1.48425,
        1.45756,
        1.42368,
        1.34099,
        1.41914,
        1.33858,
        1.39775,
        1.48811,
        1.4247,
        1.36461,
        1.40515,
        1.41486,
        1.45749,
        1.45573,
        1.37682,
        1.36482,
        1.42269,
        1.46773,
        1.43839,
        1.37371,
        1.3463,
        1.34531,
        1.38804,
        1.35668,
        1.48557,
        1.41497,
        1.43555,
        1.47294,
        1.43175,
        1.39783,
        1.47042,
        1.46099,
        1.49588,
        1.41754,
        1.37593,
        1.41394,
        1.40125,
        1.35327,
        1.38427,
        1.42757,
        1.44543,
        1.42155,
        1.41459,
        1.4159,
        1.4348,
        1.40093,
        1.43904,
        1.39463,
        1.44633,
        1.51214,
        1.49814,
        1.48203,
        1.47129,
        1.47091,
        1.54312,
        1.54438,
        1.50964,
        1.52536,
        1.54687,
        1.55638,
        1.53882,
        1.5516,
        1.56784,
        1.60531,
        1.63846,
        1.64798,
        1.58387,
        1.59834,
        1.65102,
        1.69674,
        1.69664,
        1.68774,
        1.68668,
        1.72309,
        1.80276,
        1.7726,
        1.76259,
        1.78356,
        1.70147,
        1.73862,
        1.87551,
        1.81712,
        1.83057,
        1.85771,
        1.86751,
        1.89871,
        1.88155,
        1.88659,
        1.89429,
        1.85898,
        1.82571,
        1.79158,
        1.75836,
        1.78877,
        1.87511,
        1.91372,
        1.95196,
        1.91324,
        1.82577,
        1.81812,
        1.81208,
        1.87541,
        1.84378,
        1.86277,
        1.89019,
        1.87775,
        1.88675,
        1.91649,
        1.90533,
        1.87933,
        1.84372,
        1.80764,
        1.80855,
        1.8564,
        1.9812,
        1.91847,
        1.91973,
        1.94224,
        1.92997,
        1.80877,
        1.87387,
        1.90384,
        1.88659,
        1.80669,
        1.81026,
        1.95258,
        2.01309,
        2.01635,
        1.87974,
        1.90902,
        1.84958,
        1.84336,
        1.8344,
        1.76982,
        1.73688,
        1.73239,
        1.78689,
        1.67237,
        1.7065,
        1.71654,
        1.6212,
        1.68888,
        1.62036,
        1.69749,
        1.65828,
        1.81944,
        1.84417,
        1.67412,
        1.69994,
        1.73504,
        1.70715,
        1.80755,
        1.99606,
        1.57395,
        1.57868,
        1.85158,
        1.86435,
        1.73552,
        1.74057,
        1.69295,
        1.54406,
        1.65892,
        1.55147,
        1.40283,
        1.48855,
        1.55132,
        1.5625,
        1.51058,
        1.45335,
        1.66382,
        1.61627,
        1.56078,
        1.49071,
        1.46022,
        1.55895,
        1.5369,
        1.50988,
        1.55563,
        1.53756,
        1.54206,
        1.55372,
        1.63236,
        1.59117,
        1.62552,
        1.65928,
        1.57086,
        1.53598,
        1.53219,
        1.43023,
        1.43374,
        1.48169,
        1.53795,
        1.44872,
        1.47225,
        1.50959,
        1.49053,
        1.42603,
        1.47206,
        1.37229,
        1.39025,
        1.4115,
        1.38168,
        1.42683,
        1.48197,
        1.4763,
        1.40205,
        1.33069,
        1.37006,
        1.40121,
        1.39774,
        1.38971,
        1.42436,
        1.45974,
        1.43852,
        1.41453,
        1.36313,
        1.38252,
        1.37275,
        1.3379,
        1.29592,
        1.36395,
        1.39953,
        1.38354,
        1.40912,
        1.40374,
        1.39301,
        1.35812,
        1.33434,
        1.31416,
        1.37864,
        1.35625,
        1.39304,
        1.40543,
        1.41108,
        1.3635,
        1.35088,
        1.39961,
        1.42349,
        1.44007,
        1.46862,
        1.45645,
        1.4317,
        1.40736,
        1.47655,
        1.44076,
        1.40811,
        1.41712,
        1.43665,
        1.45564,
        1.45485,
        1.47633,
        1.42361,
        1.41953,
        1.40126,
        1.44923,
        1.43958,
        1.42084,
        1.44503,
        1.44097,
        1.49035,
        1.4665,
        1.44138,
        1.44506,
        1.49208,
        1.4029,
        1.4623,
        1.46393,
        1.48546,
        1.54196,
        1.49753,
        1.50026,
        1.47868,
        1.51102,
        1.49856,
        1.4754,
        1.5064,
        1.4905,
        1.53287,
        1.4955,
        1.47769,
        1.43892,
        1.45347,
        1.47915,
        1.4309,
        1.51858,
        1.49591,
        1.48401,
        1.46596,
        1.44657,
        1.43422,
        1.41096,
        1.41801,
        1.43299,
        1.45595,
        1.45708,
        1.45851,
        1.46196,
        1.44818,
        1.44203,
        1.48996,
        1.52184,
        1.50905,
        1.5258,
        1.47473,
        1.46065,
        1.45252,
        1.49444,
        1.5153,
        1.48481,
        1.4621,
        1.44593,
        1.44793,
        1.44792,
        1.42451,
        1.41816,
        1.42407,
        1.44984,
        1.48083,
        1.44028,
        1.44062,
        1.40677,
        1.39411,
        1.37506,
        1.38006,
        1.38604,
        1.39928,
        1.44537,
        1.43321,
        1.42474,
        1.42709,
        1.39738,
        1.35886,
        1.33108,
        1.38456,
        1.38401,
        1.31701,
        1.32838,
        1.31826,
        1.32857,
        1.3358,
        1.38162,
        1.38205,
        1.35938,
        1.34153,
        1.3535,
        1.31167,
        1.34788,
        1.29758,
        1.30311,
        1.28589,
        1.27999,
        1.3248,
        1.32248,
        1.31729,
        1.26392,
        1.27237,
        1.31196,
        1.31417,
        1.29485,
        1.2949,
        1.31377,
        1.30843,
        1.33956,
        1.27213,
        1.28307,
        1.28187,
        1.30936,
        1.34038,
        1.34183,
        1.3482,
        1.3215,
        1.26885,
        1.25497,
        1.33532,
        1.29919,
        1.28575,
        1.30314,
        1.35704,
        1.3209,
        1.27868,
        1.26615,
        1.25807,
        1.31321,
        1.25592,
        1.3239,
        1.34816,
        1.33786,
        1.40673,
        1.35598,
        1.34583,
        1.35255,
        1.35569,
        1.36671,
        1.41579,
        1.26625,
        1.3368,
        1.57229,
        1.50186,
        1.42861,
        1.44574,
        1.44802,
        1.49329,
        1.40279,
        1.43971,
        1.40145,
        1.27792,
        1.39355,
        1.37774,
        1.36761,
        1.40461,
        1.36987,
        1.35252,
        1.36588,
        1.38235,
        1.34099,
        1.37891,
        1.40451,
        1.35602,
        1.29618,
        1.36353,
        1.37346,
        1.33414,
        1.32236,
        1.34763,
        1.36759,
        1.34765,
        1.38092,
        1.34226,
        1.33677,
        1.35775,
        1.28379,
        1.30682,
        1.31653,
        1.3326,
        1.29253,
        1.33368,
        1.33251,
        1.30804,
        1.31776,
        1.31609,
        1.36322,
        1.36863,
        1.3724,
        1.33143,
        1.3249,
        1.40738,
        1.29951,
        1.386,
        1.35932,
        1.3873,
        1.32755,
        1.3048,
        1.36146,
        1.33158,
        1.31303,
        1.31772,
        1.38438,
        1.38949,
        1.34835,
        1.34773,
        1.36889,
        1.35093,
        1.38621,
        1.39675,
        1.37146,
        1.34154,
        1.32292,
        1.35309,
        1.34985,
        1.35379,
        1.3523,
        1.35536,
        1.34667,
        1.36108,
        1.35486,
        1.32968,
        1.29433,
        1.31277,
        1.32842,
        1.39294,
        1.37813,
        1.39479,
        1.36023,
        1.37518,
        1.38394,
        1.33019,
        1.40809,
        1.34732,
        1.3437,
        1.34382,
        1.36638,
        1.37078,
        1.37762,
        1.39519,
        1.38053,
        1.3664,
        1.33643,
        1.36134,
        1.36237,
        1.39751,
        1.3702,
        1.35226,
        1.32265,
        1.35629,
        1.30646,
        1.27356,
        1.2398,
        1.35426,
        1.38145,
        1.35786,
        1.34245,
        1.37834,
        1.3127,
        1.31464,
        1.37381,
        1.3955,
        1.37694,
        1.34365,
        1.30941,
        1.35272,
        1.38153,
        1.41919,
        1.38226,
        1.40073,
        1.43004,
        1.3919,
        1.33141,
        1.34856,
        1.38218,
        1.32867,
        1.38811,
        1.33362,
        1.34957,
        1.31976,
        1.36698,
        1.34805,
        1.3722,
        1.3578,
        1.36562,
        1.3686,
        1.37972,
        1.38702,
        1.37595,
        1.35871,
        1.34227,
        1.31691,
        1.36498,
        1.37507,
        1.37501,
        1.31935,
        1.4258,
        1.37656,
        1.36808,
        1.35605,
        1.30588,
        1.38345,
        1.40347,
        1.34412,
        1.36664,
        1.38516,
        1.37893,
        1.34804,
        1.37516,
        1.42246,
        1.37209,
        1.44133,
        1.37801,
        1.34431,
        1.36113,
        1.40162,
        1.37284,
        1.36973,
        1.38247,
        1.40092,
        1.40809,
        1.32613,
        1.3736,
        1.35454,
        1.38569,
        1.3925,
        1.38107,
        1.35593,
        1.35995,
        1.39826,
        1.38469,
        1.37581,
        1.44069,
        1.41012,
        1.38178,
        1.36751,
        1.36583,
        1.42476,
        1.43284,
        1.38271,
        1.42354,
        1.36978,
        1.35705,
        1.36961,
        1.36171,
        1.41656,
        1.42349,
        1.37226,
        1.36991,
        1.42307,
        1.44328,
        1.43539,
        1.45814,
        1.41102,
        1.45447,
        1.39658,
        1.4482,
        1.47214,
        1.4653,
        1.45229,
        1.42765,
        1.50207,
        1.46745,
        1.54336,
        1.53615,
        1.42192,
        1.41222,
        1.45269,
        1.41578,
        1.49156,
        1.46959,
        1.53049,
        1.52559,
        1.44015,
        1.50034,
        1.52256,
        1.47268,
        1.49119,
        null,
        1.41783,
        1.39043,
        1.39836,
        1.39608,
        1.47511,
        1.494,
        1.42564,
        1.42917,
        1.44372,
        1.42466,
        1.42348,
        1.40992,
        1.42887,
        1.39139,
        1.43713,
        1.43295,
        1.44501,
        1.45436,
        1.44002,
        1.4485,
        1.43211,
        1.41337,
        1.45532,
        1.43892,
        1.43308,
        1.42146,
        1.38088,
        1.38084,
        1.40213,
        1.41775,
        1.49405,
        1.46265,
        1.38626,
        1.41323,
        1.41226,
        1.40455,
        1.40532,
        1.41291,
        1.43583,
        1.46605,
        1.43032,
        1.40332,
        1.39423,
        1.44107,
        1.46944,
        1.47362,
        1.42824,
        1.42982,
        1.44165,
        1.45697,
        1.41692,
        1.42295,
        1.43875,
        1.47136,
        1.43516,
        1.38757,
        1.42282,
        1.44496,
        1.47702,
        1.43531,
        1.44445,
        1.41611,
        1.41946,
        1.40023,
        1.37363,
        1.37839,
        1.4067,
        1.4117,
        1.41052,
        1.41804,
        1.38149,
        1.43769,
        1.47457,
        1.43979,
        1.46007,
        1.45824,
        1.44346,
        1.42968,
        1.47864,
        1.44808,
        1.4282,
        1.51821,
        1.46754,
        1.43586,
        1.46296,
        1.48082,
        1.49533,
        1.43174,
        1.4113,
        1.45215,
        1.46881,
        1.47514,
        1.46903,
        1.41832,
        1.42643,
        1.47213,
        1.41932,
        1.44828,
        1.47887,
        1.4454,
        1.44425,
        1.42365,
        1.38227,
        1.43325,
        1.44168,
        1.39808,
        1.42353,
        1.40898,
        1.40013,
        1.3781,
        1.36705,
        1.37226,
        1.42217,
        1.44002,
        1.40966,
        1.41331,
        1.37172,
        1.38658,
        1.39621,
        1.35994,
        1.34487,
        1.36551,
        1.32439,
        1.36004,
        1.39738,
        1.40807,
        1.4274,
        1.38743,
        1.36876,
        1.37245,
        1.37814,
        1.41075,
        1.40264,
        1.39229,
        1.37717,
        1.38141,
        1.40468,
        1.50349,
        1.44578,
        1.3961,
        1.41249,
        1.40849,
        1.31548,
        1.36849,
        1.43753,
        1.43346,
        1.39457,
        1.49203,
        1.48602,
        1.42915,
        1.43109,
        1.38736,
        1.34627,
        1.31046,
        1.35092,
        1.46476,
        1.42381,
        1.37895,
        1.39592,
        1.42834,
        1.36813,
        1.36743,
        1.4013,
        1.39994,
        1.37387,
        1.41852,
        1.45411,
        1.37992,
        1.38563,
        1.40664,
        1.45133,
        1.40966,
        1.40386,
        1.46068,
        1.44778,
        1.4395,
        1.40254,
        1.43714,
        1.43808,
        1.45119,
        1.44251,
        1.46106,
        1.4946,
        1.49151,
        1.50992,
        1.52581,
        1.49715,
        1.46063,
        1.43748,
        1.48441,
        1.51853,
        1.47226,
        1.53556,
        1.44375,
        1.42275,
        1.45871,
        1.4636,
        1.5148,
        1.45856,
        1.43089,
        1.45728,
        1.53724,
        1.54856,
        1.46915,
        1.49112,
        1.5692,
        1.5415,
        1.55841,
        1.56244,
        1.4618,
        1.5274,
        1.55658,
        1.60377,
        1.56052,
        1.44453,
        1.5748,
        1.59526,
        1.47946,
        1.39482,
        1.48798,
        1.5415,
        1.5305,
        1.4024,
        1.61165,
        1.58211,
        1.72655,
        1.99372,
        1.65033,
        1.78803,
        2.11881,
        2.26118,
        2.27968,
        2.20432,
        2.11027,
        2.11971,
        2.10571,
        2.04029,
        1.90614,
        2.06079,
        2.11381,
        2.00194,
        1.91026,
        1.93217,
        1.90225,
        1.94519,
        1.89548,
        1.87383,
        1.96777,
        1.87658,
        1.82806,
        1.93674,
        1.88408,
        1.95332,
        1.86656,
        1.82299,
        1.79442,
        1.83105,
        1.83075,
        1.87645,
        1.84323,
        1.80029,
        1.76516,
        1.84717,
        1.8567,
        1.82727,
        1.77491,
        1.79885,
        1.78162,
        1.8283,
        1.77714,
        1.73447,
        1.77546,
        1.73185,
        1.61851,
        1.64729,
        1.64557,
        1.59598,
        1.6092,
        1.63266,
        1.6208,
        1.57957,
        1.54752,
        1.53938,
        1.58447,
        1.61364,
        1.56605,
        1.51703,
        1.61887,
        1.58442,
        1.48982,
        1.47221,
        1.51434,
        1.44412,
        1.42363,
        1.43167,
        1.42963,
        1.49806,
        1.43993,
        1.41732,
        1.41628,
        1.39616,
        1.33256,
        1.34605,
        1.35299,
        1.39241,
        1.4573,
        1.37179,
        1.39096,
        1.34444,
        1.28156,
        1.3352,
        1.37099,
        1.4068,
        1.40267,
        1.40084,
        1.42539,
        1.42966,
        1.37766,
        1.38207,
        1.40278,
        1.39122,
        1.37481,
        1.34005,
        1.30455,
        1.29242,
        1.32684,
        1.36494,
        1.3442,
        1.32479,
        1.32172,
        1.33194,
        1.36275,
        1.34366,
        1.35922,
        1.31485,
        1.37274,
        1.31042,
        1.28175,
        1.34624,
        1.33702,
        1.31249,
        1.30864,
        1.36615,
        1.35911,
        1.38376,
        1.39305,
        1.3845,
        1.35765,
        1.36777,
        1.41061,
        1.4013,
        1.38309,
        1.41393,
        1.39555,
        1.44144,
        1.4424,
        1.38996,
        1.40067,
        1.46338,
        1.42952,
        1.43474,
        1.39446,
        1.45152,
        1.44414,
        1.47541,
        1.44542,
        1.46571,
        1.45226,
        1.46841,
        1.47473,
        1.51057,
        1.48841,
        1.47016,
        1.45917,
        1.42486,
        1.45085,
        1.46008,
        1.49393,
        1.51391,
        1.52054,
        1.46316,
        1.4936,
        1.51582,
        1.52032,
        1.49984,
        1.49089,
        1.53955,
        1.55886,
        1.56134,
        1.59578,
        1.49724,
        1.52473,
        1.51396,
        1.503,
        1.52035,
        1.4823,
        1.53643,
        1.50401,
        1.53226,
        1.60317,
        1.53056,
        1.46283,
        1.46273,
        1.45007,
        1.46547,
        1.45714,
        1.47805,
        1.48162,
        1.45505,
        1.46529,
        1.51177,
        1.52812,
        1.49213,
        1.45365,
        1.45732,
        1.48483,
        1.52836,
        1.52059,
        1.51294,
        1.48415,
        1.50437,
        1.5083,
        1.53495,
        1.50763,
        1.50308,
        1.5423,
        1.52329,
        1.55304,
        1.5407,
        1.53515,
        1.51541,
        1.52269,
        1.51031,
        1.52942,
        1.52322,
        1.48383,
        1.48486,
        1.47575,
        1.49582,
        1.52539,
        1.48425,
        1.48402,
        1.54986,
        1.49443,
        1.46936,
        1.47987,
        1.51613,
        1.50025,
        1.47464,
        1.44582,
        1.46547,
        1.44506,
        1.44084,
        1.42543,
        1.46963,
        1.391,
        1.42823,
        1.45211,
        1.40315,
        1.45195,
        1.43039,
        1.40412,
        1.42371,
        1.41126,
        1.41432,
        1.4264,
        1.33734,
        1.3915,
        1.39186,
        1.36076,
        1.3705,
        1.36795,
        1.38808,
        1.36418,
        1.36673,
        1.35397,
        1.37074,
        1.36752,
        1.34428,
        1.39016,
        1.33115,
        1.35717,
        1.33583,
        1.30778,
        1.32378,
        1.35877,
        1.39956,
        1.39752,
        1.40769,
        1.38512,
        1.34232,
        1.34991,
        1.38712,
        1.41584,
        1.38809,
        1.36809,
        1.3459,
        1.31657,
        1.31336,
        1.3933,
        1.37884,
        1.36752,
        1.38027,
        1.38475,
        1.38743,
        1.3814,
        1.4093,
        1.41636,
        1.42605,
        1.37721,
        1.41758,
        1.36657,
        1.37399,
        1.36126,
        1.34337,
        1.37341,
        1.40289,
        1.37103,
        1.37547,
        1.37622,
        1.37613,
        1.38693,
        1.37674,
        1.34392,
        1.35081,
        1.38525,
        1.38686,
        1.35463,
        1.35498,
        1.3626,
        1.37454,
        1.3759,
        1.37751,
        1.37939,
        1.36079,
        1.35565,
        1.35299,
        1.38644,
        1.39959,
        1.37223,
        1.3748,
        1.40178,
        1.38253,
        1.4222,
        1.40287,
        1.4089,
        1.42593,
        1.43167,
        1.39299,
        1.37968,
        1.40466,
        1.37444,
        1.38471,
        1.39423,
        1.36862,
        1.3638,
        1.38368,
        1.364,
        1.36328,
        1.38088,
        1.32869,
        1.35353,
        1.36158,
        1.38045,
        1.3727,
        1.38529,
        1.33443,
        1.39038,
        1.3651,
        1.34338,
        1.37768,
        1.37052,
        1.41775,
        1.37732,
        1.34139,
        1.35411,
        1.3504,
        1.3819,
        1.39774,
        1.45496,
        1.41791,
        1.40337,
        1.3367,
        1.36989,
        1.39837,
        1.37938,
        1.39575,
        1.42576,
        1.40958,
        1.38046,
        1.4556,
        1.42061,
        1.47868,
        1.43892,
        1.43579,
        1.45223,
        1.41268,
        1.42165,
        1.45443,
        1.42785,
        1.3888,
        1.42324,
        1.44019,
        1.45112,
        1.39891,
        1.39272,
        1.4358,
        1.43328,
        1.40306,
        1.46457,
        1.45489,
        1.45622,
        1.40541,
        1.42282,
        1.42415,
        1.46921,
        1.47584,
        1.4243,
        1.39029,
        1.3992,
        1.43143,
        1.44533,
        1.43684,
        1.41283,
        1.42958,
        1.47742,
        1.44628,
        1.42197,
        1.46621,
        1.4575,
        1.42311,
        1.44728,
        1.46878,
        1.47249,
        1.49146,
        1.43096,
        1.44645,
        1.46261,
        1.46257,
        1.45965,
        1.4682,
        1.44412,
        1.40358,
        1.46038,
        1.51543,
        1.46464,
        1.45388,
        1.45861,
        1.46532,
        1.46733,
        1.44723,
        1.4606,
        1.44791,
        1.47245,
        1.48142,
        1.50132,
        1.49149,
        1.50112,
        1.50138,
        1.50637,
        1.46289,
        1.47119,
        1.47559,
        1.45096,
        1.44211,
        1.45245,
        1.45678,
        1.45853,
        1.44027,
        1.4847,
        1.48481,
        1.51302,
        1.48809,
        1.50042,
        1.52499,
        1.54196,
        1.48238,
        1.48293,
        1.51082,
        1.55746,
        1.52326,
        1.53452,
        1.49388,
        1.49691,
        1.55693,
        1.52189,
        1.46666,
        1.52105,
        1.50515,
        1.5199,
        1.58224,
        1.52502,
        1.48802,
        1.475,
        1.45705,
        1.5332,
        1.57468,
        1.49118,
        1.55029,
        1.54788,
        1.55977,
        1.49354,
        1.48298,
        1.4875,
        1.48253,
        1.51955,
        1.52481,
        1.56764,
        1.56988,
        1.54669,
        1.52451,
        1.5248,
        1.60253,
        1.52626,
        1.57908,
        1.57136,
        1.50738,
        1.52094,
        1.51499,
        1.47679,
        1.48039,
        1.47471,
        1.51541,
        1.48673,
        1.49887,
        1.46498,
        1.47294,
        1.50573,
        1.51963,
        1.47383,
        1.56153,
        1.54707,
        1.52787,
        1.55012,
        1.48157,
        1.53392,
        1.53612,
        1.52917,
        1.53792,
        1.50939,
        1.50279,
        1.50957,
        1.49137,
        1.45271,
        1.42498,
        1.47463,
        1.44181,
        1.45029,
        1.4296,
        1.44444,
        1.42963,
        1.44279,
        1.41232,
        1.45625,
        1.49936,
        1.4978,
        1.51792,
        1.43992,
        1.4387,
        1.48017,
        1.47118,
        1.50839,
        1.50789,
        1.47006,
        1.51054,
        1.41411,
        1.46102,
        1.45433,
        1.54365,
        1.53516,
        1.50055,
        1.39804,
        1.46495,
        1.53238,
        1.48104,
        1.41871,
        1.4545,
        1.56269,
        1.47654,
        1.57273,
        1.5948,
        1.60427,
        1.56182,
        1.53477,
        1.57348,
        1.63715,
        1.68698,
        1.61091,
        1.56227,
        1.66496,
        1.68753,
        1.64941,
        1.62377,
        1.62096,
        1.57219,
        1.62418,
        1.68443,
        1.71579,
        1.64343,
        1.68533,
        1.68888,
        1.74503,
        1.75872,
        1.84867,
        1.81969,
        1.80872,
        1.76775,
        1.78631,
        1.87202,
        1.89062,
        1.9287,
        1.94852,
        1.84197,
        1.8788,
        1.90683,
        1.90378,
        1.96109,
        1.87821,
        2.0243,
        1.9713,
        2.00299,
        2.0253,
        1.98171,
        1.91593,
        2.01128,
        1.74471,
        2.04925,
        1.98648,
        2.07751,
        2.01361,
        2.11273,
        2.07638,
        2.10626,
        2.16826,
        2.26898,
        2.22284,
        2.02809,
        2.22757,
        2.14467,
        2.307,
        2.22579,
        null,
        1.71727,
        1.60912,
        1.58655,
        1.73777,
        1.6435,
        1.67973,
        1.75663,
        1.5038,
        1.40942,
        1.45837,
        1.50898,
        1.51487,
        1.63611,
        1.45495,
        1.35394,
        1.42703,
        1.60819,
        1.60736,
        1.54066,
        1.51945,
        1.58275,
        1.50699,
        1.43297,
        1.76711,
        1.57585,
        1.45683,
        1.5643,
        1.57576,
        1.59291,
        1.44504,
        1.5176,
        1.5141,
        1.51795,
        1.39161,
        1.54541,
        1.4878,
        1.65415,
        1.63232,
        1.56097,
        1.52076,
        1.47651,
        1.43939,
        1.51032,
        1.42711,
        1.39632,
        1.53843,
        1.47209,
        1.42636,
        1.4148,
        1.49361,
        1.52889,
        1.61344,
        1.44784,
        1.38913,
        1.5442,
        1.38838,
        1.38104,
        1.42582,
        1.41194,
        1.46594,
        1.48955,
        1.44982,
        1.48774,
        1.33017,
        1.46085,
        1.46076,
        1.43967,
        1.50638,
        1.37792,
        1.44573,
        1.5267,
        1.51062,
        1.51007,
        1.46756,
        1.45104,
        1.46519,
        1.50578,
        1.48154,
        1.37144,
        1.42456,
        1.40066,
        1.53924,
        1.57333,
        1.49396,
        1.44322,
        1.5085,
        1.59348,
        1.49209,
        1.56806,
        1.60406,
        1.53667,
        1.44669,
        1.55527,
        1.53507,
        1.59035,
        1.56836,
        1.55074,
        1.59593,
        1.5327,
        1.49055,
        1.54285,
        1.46833,
        1.51442,
        1.46942,
        1.55497,
        1.47532,
        1.51049,
        1.51884,
        1.5194,
        1.53354,
        1.59357,
        1.54057,
        1.61853,
        1.58687,
        1.49334,
        1.58474,
        1.5172,
        1.61581,
        1.63277,
        1.53206,
        1.48882,
        1.50435,
        1.42497,
        1.52778,
        1.55537,
        1.52185,
        1.54027,
        1.59546,
        1.63353,
        1.50269,
        1.49667,
        1.48398,
        1.59027,
        1.5342,
        1.52459,
        1.55016,
        1.62779,
        1.66379,
        1.55793,
        1.55423,
        1.58481,
        1.57852,
        1.49248,
        1.56936,
        1.67326,
        1.69761,
        1.53921,
        1.58326,
        1.6719,
        1.58743,
        1.6325,
        1.66971,
        1.59597,
        1.55347,
        1.52305,
        1.61951,
        1.62061,
        1.61283,
        1.58929,
        1.66132,
        1.63449,
        1.5932,
        1.66362,
        1.5747,
        1.52393,
        1.65242,
        1.6766,
        1.5765,
        1.57863,
        1.61443,
        1.60928,
        1.60397,
        1.57174,
        1.50208,
        1.58425,
        1.64225,
        1.5508,
        1.48121,
        1.46917,
        1.51136,
        1.5096,
        1.57226,
        1.49793,
        1.4928,
        1.4709,
        1.48097,
        1.42361,
        1.54801,
        1.50173,
        1.45875,
        1.38566,
        1.56677,
        1.54277,
        1.57849,
        1.53092,
        1.53651,
        1.47405,
        1.46369,
        1.53091,
        1.478,
        1.50167,
        1.55729,
        1.51959,
        1.65985,
        1.47979,
        1.50607,
        1.56653,
        1.40089,
        1.43493,
        1.46044,
        1.51744,
        1.50342,
        1.58211,
        1.53659,
        1.61469,
        1.5204,
        1.43474,
        1.49325,
        1.4803,
        1.46341,
        1.48313,
        1.61339,
        1.60031,
        1.61294,
        1.50997,
        1.48715,
        1.57421,
        1.51696,
        1.48148,
        1.49248,
        1.38451,
        1.51098,
        1.45094,
        1.4107,
        1.42694,
        1.437,
        1.51544,
        1.53844,
        1.54549,
        1.59951,
        1.37476,
        1.54299,
        1.56488,
        1.61352,
        1.5893,
        1.70119,
        1.59513,
        1.61873,
        1.71691,
        1.58856,
        1.6496,
        1.5647,
        1.71591,
        1.63701,
        1.37419,
        1.51681,
        1.50906,
        1.51137,
        1.43788,
        1.52866,
        1.61974,
        1.84071,
        1.75036,
        1.5687,
        1.7151,
        1.74658,
        1.66154,
        1.48572,
        1.66523,
        1.51519,
        1.65645,
        1.82396,
        1.88351,
        1.71235,
        1.7576,
        1.86522,
        1.77332,
        1.4949,
        1.91357,
        2.09878,
        1.86631,
        1.78163,
        1.92753,
        2.21515,
        null,
        1.69054,
        1.77697,
        1.50968,
        1.55383,
        1.79073,
        1.71434,
        1.6012,
        1.66983,
        1.75471,
        1.60311,
        1.64613,
        1.67289,
        1.75028,
        1.83315,
        1.67295,
        1.76352,
        1.66109,
        1.71757,
        1.61999,
        1.89926,
        1.69617,
        1.59328,
        1.80047,
        1.71246,
        1.69268,
        1.7014,
        1.59532,
        1.68095,
        1.72745,
        1.62756,
        1.73739,
        1.69808,
        1.49038,
        1.52647,
        1.58802,
        1.56979,
        1.53898,
        1.54321,
        1.62796,
        1.63634,
        1.55155,
        1.60166,
        1.65066,
        1.70494,
        1.73774,
        1.75818,
        1.73263,
        1.61535,
        1.58438,
        1.66332,
        1.63216,
        1.63418,
        1.71941,
        1.80004,
        1.63307,
        1.51896,
        1.63817,
        1.73744,
        1.60679,
        1.51163,
        1.60046,
        1.48265,
        1.66278,
        1.76299,
        1.92745,
        1.69077,
        1.90451,
        1.55142,
        1.66076,
        1.67204,
        1.68334,
        1.45331,
        1.5119,
        1.56296,
        1.59874,
        1.5775,
        1.54438,
        1.50488,
        1.45619,
        1.49855,
        1.33073,
        1.3727,
        1.52306,
        1.55562,
        1.44398,
        1.49132,
        1.55117,
        1.44255,
        1.48643,
        1.47463,
        1.4923,
        1.51038,
        1.4516,
        1.41781,
        1.48429,
        1.46836,
        1.44382,
        1.43009,
        1.43867,
        1.37831,
        1.41576,
        1.39914,
        1.33708,
        1.38295,
        1.44313,
        1.38201,
        1.50637,
        1.41162,
        1.37196,
        1.40204,
        1.45394,
        1.28081,
        1.48815,
        1.4794,
        1.4473,
        1.39496,
        1.35572,
        1.35847,
        1.39022,
        1.42308,
        1.40068,
        1.38918,
        1.45722,
        1.45392,
        1.41789,
        1.44077,
        1.35366,
        1.34224,
        1.41077,
        1.33029,
        1.20058,
        1.30355,
        1.40441,
        1.39023,
        1.38811,
        1.41526,
        1.46083,
        1.36919,
        1.39633,
        1.37377,
        1.415,
        1.36331,
        1.35153,
        1.36007,
        1.35535,
        1.3394,
        1.33755,
        1.42279,
        1.37545,
        1.39705,
        1.45839,
        1.39846,
        1.44325,
        1.39429,
        1.35164,
        1.35757,
        1.41169,
        1.46905,
        1.43628,
        1.41415,
        1.37884,
        1.41549,
        1.42372,
        1.39577,
        1.43981,
        1.3583,
        1.37784,
        1.39868,
        1.41636,
        1.43757,
        1.36971,
        1.42207,
        1.36599,
        1.39092,
        1.42576,
        1.40627,
        1.36805,
        1.30987,
        1.32887,
        1.4072,
        1.40093,
        1.32625,
        1.32831,
        1.44704,
        1.4212,
        1.4627,
        1.43291,
        1.41174,
        1.37278,
        1.41616,
        1.40565,
        1.42986,
        1.4039,
        1.39791,
        1.46528,
        1.41781,
        1.4028,
        1.40589,
        1.40055,
        1.42042,
        1.39539,
        1.40423,
        1.45456,
        1.43127,
        1.42589,
        1.43099,
        1.43846,
        1.40517,
        1.35995,
        1.42633,
        1.43497,
        1.44689,
        1.48306,
        1.41939,
        1.40905,
        1.38912,
        1.41303,
        1.39518,
        1.44736,
        1.39111,
        1.41172,
        1.47045,
        1.43496,
        1.42469,
        1.44861,
        1.4654,
        1.42871,
        1.41469,
        1.44359,
        1.42734,
        1.3888,
        1.40964,
        1.42816,
        1.49351,
        1.33618,
        1.34144,
        1.37468,
        1.54709,
        1.47611,
        1.3844,
        1.4688,
        1.35078,
        1.54092,
        1.46343,
        1.51738,
        1.47346,
        1.42646,
        1.48184,
        1.4327,
        1.42471,
        1.4169,
        1.43847,
        1.46131,
        1.44296,
        1.52076,
        1.46751,
        1.39661,
        1.426,
        1.42145,
        1.43344,
        1.41023,
        1.40251,
        1.4251,
        1.49988,
        1.40485,
        1.45037,
        1.47036,
        1.44308,
        1.49998,
        1.46802,
        1.49056,
        1.44423,
        1.44891,
        1.39202,
        1.41985,
        1.39197,
        1.41244,
        1.4285,
        1.44208,
        1.43228,
        1.41662,
        1.47018,
        1.44664,
        1.48523,
        1.46885,
        1.45579,
        1.49132,
        1.47853,
        1.49474,
        1.45793,
        1.42796,
        1.39349,
        1.41423,
        1.41636,
        1.44219,
        1.49416,
        1.46174,
        1.43447,
        1.40467,
        1.484,
        1.44278,
        1.42643,
        1.39613,
        1.4364,
        1.42235,
        1.40319,
        1.44114,
        1.43846,
        1.46463,
        1.4007,
        1.52475,
        1.52897,
        1.48165,
        1.44839,
        1.47217,
        1.53609,
        1.51695,
        1.47687,
        1.51282,
        1.49278,
        1.45747,
        1.55268,
        1.492,
        1.46902,
        1.48483,
        1.48291,
        1.51121,
        1.45216,
        1.44834,
        1.41337,
        1.46196,
        1.51947,
        1.53798,
        1.43489,
        1.39967,
        1.40268,
        1.36794,
        1.37669,
        1.47974,
        1.48042,
        1.48154,
        1.41622,
        1.4177,
        1.45266,
        1.50138,
        1.42766,
        1.37935,
        1.43183,
        1.41001,
        1.4029,
        1.41836,
        1.42138,
        1.39749,
        1.43211,
        1.4257,
        1.40748,
        1.40035,
        1.43233,
        1.40458,
        1.38462,
        1.37188,
        1.28863,
        1.36818,
        1.34762,
        1.37467,
        1.44141,
        1.40171,
        1.39486,
        1.40891,
        1.39993,
        1.3742,
        1.42347,
        1.43694,
        1.37145,
        1.33459,
        1.31406,
        1.33491,
        1.29624,
        1.30281,
        1.33815,
        1.31199,
        1.38454,
        1.40235,
        1.39821,
        1.26658,
        1.33503,
        1.31168,
        1.35102,
        1.33691,
        1.31926,
        1.30696,
        1.31467,
        1.38319,
        1.42999,
        1.40021,
        1.37727,
        1.3063,
        1.3674,
        1.40191,
        1.33574,
        1.35735,
        1.40356,
        1.39747,
        1.44957,
        1.40028,
        1.35725,
        1.43512,
        1.35199,
        1.35534,
        1.31197,
        1.34139,
        1.35791,
        1.38035,
        1.40331,
        1.42913,
        1.38653,
        1.45081,
        1.39012,
        1.40324,
        1.44003,
        1.4495,
        null,
        1.44922,
        1.4816,
        1.40543,
        1.40393,
        1.36193,
        1.36952,
        1.40211,
        1.41509,
        1.41894,
        1.42857,
        1.40668,
        1.40182,
        1.43122,
        1.41532,
        1.42765,
        1.42862,
        1.4669,
        1.4316,
        1.4408,
        1.49641,
        1.46401,
        1.41182,
        1.42516,
        1.44,
        1.45659,
        1.44351,
        1.46849,
        1.48582,
        1.43653,
        1.41739,
        1.41125,
        1.4485,
        1.41502,
        1.43301,
        1.41424,
        1.45443,
        1.44027,
        1.39901,
        1.34427,
        1.35106,
        1.3488,
        1.40002,
        1.4302,
        1.39648,
        1.38556,
        1.3866,
        1.39782,
        1.38114,
        1.3785,
        1.40838,
        1.37431,
        1.40268,
        1.45156,
        1.44187,
        1.467,
        1.41722,
        1.45285,
        1.59145,
        1.6225,
        1.61633,
        1.48557,
        1.47446,
        1.51509,
        1.47803,
        1.49149,
        1.49383,
        1.47509,
        1.51651,
        1.53659,
        1.48816,
        1.49171,
        1.5171,
        1.49875,
        1.53087,
        1.5071,
        1.4757,
        1.48703,
        1.49621,
        1.5186,
        1.49519,
        1.48273,
        1.48679,
        1.5229,
        1.52678,
        1.48673,
        1.46194,
        1.43968,
        1.45751,
        1.48235,
        1.44217,
        1.45061,
        1.47971,
        1.50585,
        1.52401,
        1.47186,
        1.50631,
        1.54628,
        1.56275,
        1.54506,
        1.47724,
        1.44397,
        1.44588,
        1.51029,
        1.53936,
        1.52616,
        1.53435,
        1.56176,
        1.51709,
        1.44886,
        1.50254,
        1.51492,
        1.493,
        1.5431,
        1.5519,
        1.5322,
        1.52516,
        1.52788,
        1.61766,
        1.48861,
        1.62797,
        1.77206,
        1.79322,
        1.78638,
        1.85018,
        1.63015,
        1.46402,
        1.43115,
        1.45286,
        1.49227,
        1.46107,
        1.41172,
        1.39157,
        1.39081,
        1.36198,
        1.38106,
        1.32945,
        1.37946,
        1.37026,
        1.31093,
        1.35163,
        1.37886,
        1.42751,
        1.37455,
        1.35095,
        1.33705,
        1.3185,
        1.29794,
        1.34519,
        1.33624,
        1.36443,
        1.30805,
        1.31271,
        1.3282,
        1.35446,
        1.3429,
        1.37668,
        1.33502,
        1.29818,
        1.32956,
        1.3449,
        1.31877,
        1.39437,
        1.32549,
        1.3517,
        1.33679,
        1.34627,
        1.29825,
        1.35625,
        1.37949,
        1.36954,
        1.33355,
        1.35276,
        1.36059,
        1.3488,
        1.35232,
        1.36003,
        1.35149,
        1.31855,
        1.30709,
        1.33618,
        1.33402,
        1.33256,
        1.3158,
        1.33107,
        1.34259,
        1.34407,
        1.31941,
        1.28685,
        1.34233,
        1.28181,
        1.26714,
        1.3041,
        1.31522,
        1.36652,
        1.35482,
        1.31924,
        1.33919,
        1.2708,
        1.29499,
        1.29468,
        1.27575,
        1.28315,
        1.29087,
        1.26704,
        1.29614,
        1.29421,
        1.30459,
        1.31868,
        1.30259,
        1.28561,
        1.29001,
        1.31835,
        1.27665,
        1.29709,
        1.27132,
        1.3045,
        1.31285,
        1.30805,
        1.30706,
        1.33244,
        1.30278,
        1.29056,
        1.29911,
        1.33268,
        1.32581,
        1.3019,
        1.30732,
        1.3309,
        1.29138,
        1.29632,
        1.32485,
        1.3068,
        1.31058,
        1.3183,
        1.29047,
        1.30324,
        1.30318,
        1.29011,
        1.28018,
        1.27568,
        1.31083,
        1.3348,
        1.31252,
        1.33359,
        1.32349,
        1.28939,
        1.3229,
        1.30876,
        1.30251,
        1.31635,
        1.31881,
        1.33774,
        1.33152,
        1.29943,
        1.28824,
        1.31456,
        1.26946,
        1.3014,
        1.30993,
        1.35671,
        1.34555,
        1.30949,
        1.29869,
        1.31371,
        1.28633,
        1.30362,
        1.33421,
        1.3327,
        1.31124,
        1.31641,
        1.34358,
        1.30707,
        1.312,
        1.34995,
        1.35274,
        1.33883,
        1.35266,
        1.33735,
        1.36568,
        1.36064,
        1.34247,
        1.33154,
        1.34011,
        1.33517,
        1.34125,
        1.3858,
        1.37897,
        1.36909,
        1.39066,
        1.4025,
        1.34845,
        1.33773,
        1.31887,
        1.41611,
        1.38926,
        1.38045,
        1.3785,
        1.4073,
        1.37847,
        1.36005,
        1.349,
        1.31899,
        1.32209,
        1.34122,
        1.37145,
        1.40503,
        1.41612,
        1.38039,
        1.35124,
        1.34868,
        1.40061,
        1.41874,
        1.4271,
        1.39297,
        1.43987,
        1.43799,
        1.40639,
        1.42682,
        1.42092,
        1.431,
        1.41284,
        1.46549,
        1.48305,
        1.47961,
        1.5269,
        1.5214,
        1.53515,
        1.50176,
        1.53324,
        1.53632,
        1.56491,
        1.54214,
        1.50227,
        1.51528,
        1.53788,
        1.58689,
        1.54745,
        1.57274,
        1.65851,
        1.65125,
        1.69486,
        1.67634,
        1.68417,
        1.67859,
        1.66145,
        1.66397,
        1.68962,
        1.70368,
        1.6481,
        1.6726,
        1.75548,
        1.72346,
        1.68691,
        1.70684,
        1.72011,
        1.75514,
        1.70854,
        1.69023,
        1.72178,
        1.721,
        1.70394,
        1.685,
        1.65195,
        1.67757,
        1.66679,
        1.69321,
        1.67271,
        1.67589,
        1.67812,
        1.69621,
        1.67517,
        1.69134,
        1.66878,
        1.66575,
        1.71728,
        1.70192,
        1.70657,
        1.69057,
        1.70377,
        1.73874,
        1.6782,
        1.70413,
        1.72614,
        1.73086,
        1.70349,
        1.67473,
        1.64663,
        1.64116,
        1.64888,
        1.59927,
        1.63424,
        1.65856,
        1.61471,
        1.59838,
        1.5608,
        1.58529,
        1.62539,
        1.62445,
        1.60111,
        1.59101,
        1.54509,
        1.5206,
        1.57052,
        1.55763,
        1.53569,
        1.47681,
        1.52127,
        1.51318,
        1.50034,
        1.49487,
        1.51632,
        1.51586,
        1.52812,
        1.50909,
        1.4508,
        1.42515,
        1.45625,
        1.45964,
        1.46187,
        1.51857,
        1.4953,
        1.44056,
        1.45318,
        1.49293,
        1.491,
        1.45878,
        1.49189,
        1.46238,
        1.43085,
        1.49297,
        1.46765,
        1.49607,
        1.46825,
        1.5261,
        1.49529,
        1.46269,
        1.43936,
        1.46266,
        1.4554,
        1.50329,
        1.48684,
        1.46906,
        1.50802,
        1.51706,
        1.4761,
        1.4753,
        1.50469,
        1.51055,
        1.5227,
        1.46118,
        1.48394,
        1.48053,
        1.50263,
        1.49125,
        1.49803,
        1.5044,
        1.54559,
        1.55963,
        1.53143,
        1.53663,
        1.46704,
        1.53962,
        1.48047,
        1.48597,
        1.47529,
        1.45276,
        1.47136,
        1.5235,
        1.45719,
        1.45108,
        1.42976,
        1.42007,
        1.41728,
        1.41802,
        1.4127,
        1.45128,
        1.43715,
        1.38298,
        1.38793,
        1.38196,
        1.39392,
        1.43272,
        1.43185,
        1.49116,
        1.41321,
        1.447,
        1.47769,
        1.39559,
        1.33683,
        1.3744,
        1.38308,
        1.33591,
        1.35936,
        1.35313,
        1.36898,
        1.30594,
        1.31584,
        1.31666,
        1.31252,
        1.36793,
        1.34916,
        1.34553,
        1.34565,
        1.36109,
        1.35668,
        1.36525,
        1.36247,
        1.34332,
        1.38893,
        1.35996,
        1.35623,
        1.38011,
        1.39378,
        1.39922,
        1.37604,
        1.37244,
        1.37446,
        1.36297,
        1.32799,
        1.34612,
        1.40161,
        1.40404,
        1.3749,
        1.32993,
        1.35232,
        1.34745,
        1.33224,
        1.35427,
        1.35963,
        1.33919,
        1.3639,
        1.33256,
        1.34633,
        1.33475,
        1.3487,
        1.34848,
        1.30235,
        1.34151,
        1.34507,
        1.35892,
        1.3298,
        1.33318,
        1.3394,
        1.32956,
        1.31148,
        1.31844,
        1.32892,
        1.30622,
        1.31555,
        1.31904,
        1.31284,
        1.33582,
        1.25919,
        1.26341,
        1.33628,
        1.33398,
        1.27263,
        1.27522,
        1.31277,
        1.26612,
        1.3269,
        1.41371,
        1.31054,
        1.32221,
        1.34537,
        1.34456,
        1.34716,
        1.3429,
        1.35123,
        1.37471,
        1.38595,
        1.29728,
        1.31465,
        1.35243,
        1.3889,
        1.34728,
        1.33418,
        1.31982,
        1.373,
        1.37091,
        1.34035,
        1.33899,
        1.35262,
        1.3779,
        1.36073,
        1.36791,
        1.40208,
        1.4155,
        1.40852,
        1.41938,
        1.41841,
        1.45508,
        1.42618,
        1.43771,
        1.37869,
        1.37568,
        1.42224,
        1.49149,
        1.48726,
        1.45649,
        1.45293,
        1.44387,
        1.40149,
        1.41013,
        1.34746,
        1.42085,
        1.41541,
        1.37616,
        1.47505,
        1.47974,
        1.44493,
        1.38487,
        1.42218,
        1.47693,
        1.45189,
        1.41916,
        1.43511,
        1.41784,
        1.40377,
        1.46758,
        1.50411,
        1.38751,
        1.4864,
        1.51501,
        1.47782,
        1.4966,
        1.4846,
        1.47025,
        1.49492,
        1.40233,
        1.40951,
        1.45554,
        1.42183,
        1.53124,
        1.74098,
        1.55564,
        1.37115,
        1.80154,
        2.0355,
        1.55174,
        1.52809,
        1.40165,
        1.52256,
        1.52404,
        1.52647,
        1.55242,
        1.52967,
        1.64906,
        1.59904,
        1.49228,
        1.51292,
        1.41143,
        1.53988,
        1.43385,
        1.36957,
        1.44209,
        1.49921,
        1.32389,
        1.35077,
        1.4395,
        1.48417,
        1.45611,
        1.42998,
        1.42291,
        1.43305,
        1.39722,
        1.41758,
        1.4691,
        1.42275,
        1.40332,
        1.38246,
        1.41231,
        1.38964,
        1.40469,
        1.41293,
        1.38495,
        1.45732,
        1.43823,
        1.42572,
        1.43942,
        1.43398,
        1.38101,
        1.34015,
        1.35416,
        1.37974,
        1.363,
        1.35345,
        1.36048,
        1.40866,
        1.39338,
        1.3591,
        1.38431,
        1.39071,
        1.36903,
        1.352,
        1.37254,
        1.32401,
        1.37062,
        1.37013,
        1.31676,
        1.36939,
        1.3831,
        1.37726,
        1.38422,
        1.37627,
        1.36319,
        1.35041,
        1.37183,
        1.33508,
        1.38425,
        1.36082,
        1.33261,
        1.3558,
        1.35744,
        1.43445,
        1.43813,
        1.39449,
        1.38528,
        1.38857,
        1.42431,
        1.4176,
        1.42032,
        1.41213,
        1.40873,
        1.39169,
        1.39841,
        1.45152,
        1.4399,
        1.49756,
        1.50986,
        1.46779,
        1.4823,
        1.46798,
        1.45192,
        1.45456,
        1.45279,
        1.42053,
        1.46374,
        1.4337,
        1.46259,
        1.4628,
        1.48794,
        1.47619,
        1.43821,
        1.43088,
        1.38839,
        1.44066,
        1.45089,
        1.43597,
        1.4404,
        1.42444,
        1.4004,
        1.4181,
        1.39318,
        1.40254,
        1.42597,
        1.41677,
        1.47292,
        1.42366,
        1.42289,
        1.42157,
        1.40748,
        1.41491,
        1.41825,
        1.3913,
        1.43096,
        1.43067,
        1.43428,
        1.41437,
        1.41935,
        1.42229,
        1.40375,
        1.43005,
        1.42918,
        1.43884,
        1.45988,
        1.44272,
        1.443,
        1.45169,
        1.456,
        1.42193,
        1.44219,
        1.40245,
        1.43396,
        1.4417,
        1.45932,
        1.41957,
        1.44967,
        1.43551,
        1.38851,
        1.41141,
        1.45392,
        1.42559,
        1.39818,
        1.41468,
        1.42839,
        1.38676,
        1.41812,
        1.38601,
        1.37472,
        1.42103,
        1.39789,
        1.38522,
        1.3923,
        1.43574,
        1.39015,
        1.38118,
        1.39305,
        1.36936,
        1.36248,
        1.418,
        1.40635,
        1.36678,
        1.39722,
        1.4015,
        1.37865,
        1.37665,
        1.40329,
        1.40434,
        1.37953,
        1.41725,
        1.4205,
        1.36669,
        1.32376,
        1.32143,
        1.37984,
        1.41539,
        1.38651,
        1.37569,
        1.40348,
        1.41351,
        1.37906,
        1.39574,
        1.37506,
        1.39617,
        1.39736,
        1.38989,
        1.39413,
        1.36353,
        1.41325,
        1.37304,
        1.37194,
        1.35412,
        1.35936,
        1.38477,
        1.36995,
        1.3911,
        1.38782,
        1.35823,
        1.34913,
        1.35038,
        1.36679,
        1.36362,
        1.37615,
        1.33172,
        1.34702,
        1.3465,
        1.37307,
        1.37095,
        1.33787,
        1.35088,
        1.378,
        1.38121,
        1.35536,
        1.37849,
        1.36479,
        1.34037,
        1.37658,
        1.3637,
        1.37774,
        1.42701,
        1.37321,
        1.37957,
        1.38277,
        1.44608,
        1.41573,
        1.39446,
        1.38033,
        1.39622,
        1.39596,
        1.37563,
        1.39443,
        1.37607,
        1.3598,
        1.40163,
        1.39858,
        1.41198,
        1.39945,
        1.38541,
        1.42119,
        1.45599,
        1.4574,
        1.43286,
        1.42253,
        1.4314,
        1.41971,
        1.44041,
        1.4344,
        1.47561,
        1.47501,
        1.44765,
        1.47194,
        1.47123,
        1.53283,
        1.52054,
        1.49295,
        1.52655,
        1.52946,
        1.54923,
        1.51836,
        1.55619,
        1.54184,
        1.58444,
        1.58157,
        1.60548,
        1.62278,
        1.61823,
        1.61744,
        1.61199,
        1.64831,
        1.69982,
        1.69887,
        1.71573,
        1.71175,
        1.71982,
        1.68186,
        1.67677,
        1.67424,
        1.72131,
        1.70406,
        1.67162,
        1.70984,
        1.66889,
        1.65565,
        1.67644,
        1.65022,
        1.64641,
        1.6687,
        1.66928,
        1.62099,
        1.67914,
        1.68722,
        1.72333,
        1.69361,
        1.69282,
        1.72227,
        1.69851,
        1.7163,
        1.67791,
        1.70018,
        1.71177,
        1.71258,
        1.75848,
        1.75713,
        1.76468,
        1.77514,
        1.75555,
        1.74214,
        1.70264,
        1.75428,
        1.712,
        1.70804,
        1.72025,
        1.74499,
        1.733,
        1.71661,
        1.73368,
        1.72776,
        1.70249,
        1.63501,
        1.65024,
        1.63761,
        1.63745,
        1.62822,
        1.6284,
        1.62311,
        1.62698,
        1.60669,
        1.58271,
        1.5847,
        1.58066,
        1.61553,
        1.58089,
        1.59597,
        1.60293,
        1.53177,
        1.53167,
        1.52502,
        1.51947,
        1.49572,
        1.44902,
        1.47419,
        1.45867,
        1.48636,
        1.50996,
        1.48536,
        1.46873,
        1.45939,
        1.46573,
        1.47076,
        1.45355,
        1.44716,
        1.44358,
        1.46623,
        1.47172,
        1.40907,
        1.45991,
        1.45723,
        1.47087,
        1.48232,
        1.4769,
        1.46526,
        1.47478,
        1.49246,
        1.4694,
        1.4455,
        1.47378,
        1.48501,
        1.4499,
        1.45009,
        1.46887,
        1.47766,
        1.47549,
        1.471,
        1.42083,
        1.45131,
        1.42878,
        1.41528,
        1.42021,
        1.42911,
        1.40455,
        1.42712,
        1.42311,
        1.39944,
        1.37869,
        1.41654,
        1.4202,
        1.37709,
        1.40467,
        1.37484,
        1.39338,
        1.36247,
        1.36188,
        1.39116,
        1.36534,
        1.35634,
        1.37237,
        1.37037,
        1.39707,
        1.3678,
        1.34872,
        1.36811,
        1.32029,
        1.32948,
        1.36848,
        1.39184,
        1.3356,
        1.33443,
        1.33661,
        1.35024,
        1.36084,
        1.33968,
        1.35313,
        1.3484,
        1.33366,
        1.29621,
        1.30577,
        1.33054,
        1.3203,
        1.33099,
        1.36901,
        1.34273,
        1.31612,
        1.35095,
        1.3478,
        1.35252,
        1.34471,
        1.34078,
        1.31138,
        1.32493,
        1.30731,
        1.34062,
        1.36537,
        1.36877,
        1.34601,
        1.33136,
        1.33478,
        1.2961,
        1.30608,
        1.31593,
        1.31993,
        1.35774,
        1.3428,
        1.30668,
        1.35804,
        1.36499,
        1.3693,
        1.39806,
        1.34489,
        1.37125,
        1.34004,
        1.35968,
        1.39719,
        1.38779,
        1.36675,
        1.36652,
        1.33282,
        1.34236,
        1.40397,
        1.389,
        1.39148,
        1.38973,
        1.38476,
        1.40024,
        1.37489,
        1.38241,
        1.3585,
        1.37784,
        1.37497,
        1.38524,
        1.42251,
        1.44286,
        1.45151,
        1.42719,
        1.42961,
        1.43471,
        1.42083,
        1.43528,
        1.43429,
        1.45557,
        1.42192,
        1.38588,
        1.41036,
        1.43331,
        1.43894,
        1.41528,
        1.41845,
        1.44655,
        1.45008,
        1.40763,
        1.45044,
        1.48421,
        1.42707,
        1.39453,
        1.42453,
        1.39806,
        1.40329,
        1.42566,
        1.43128,
        1.44945,
        1.41214,
        1.39065,
        1.41632,
        1.43572,
        1.38958,
        1.42877,
        1.38218,
        1.36107,
        1.38034,
        1.39563,
        1.43545,
        1.44638,
        1.43665,
        1.42889,
        1.4122,
        1.44379,
        1.44457,
        1.41362,
        1.39142,
        1.3696,
        1.4023,
        1.39293,
        1.41195,
        1.41555,
        1.40232,
        1.41527,
        1.3947,
        1.39932,
        1.44398,
        1.41701,
        1.39284,
        1.38488,
        1.42878,
        1.36059,
        1.40115,
        1.41927,
        1.43289,
        1.43135,
        1.42992,
        1.41752,
        1.40052,
        1.43796,
        1.39965,
        1.43324,
        1.41424,
        1.39261,
        1.37485,
        1.34387,
        1.41541,
        1.39186,
        1.42129,
        1.42968,
        1.41219,
        1.4378,
        1.39419,
        1.40451,
        1.39299,
        1.34753,
        1.39412,
        1.41804,
        1.36004,
        1.37954,
        1.39051,
        1.35977,
        1.40478,
        1.4048,
        1.38276,
        1.43251,
        1.38109,
        1.40064,
        1.41048,
        1.33342,
        1.37537,
        1.40065,
        1.36065,
        1.36505,
        1.3917,
        1.3486,
        1.37041,
        1.37624,
        1.39866,
        1.39251,
        1.31318,
        1.33156,
        1.33516,
        1.33324,
        1.33143,
        1.34677,
        1.33854,
        1.40072,
        1.39671,
        1.34413,
        1.32051,
        1.33827,
        1.3567,
        1.34851,
        1.40251,
        1.39827,
        1.3648,
        1.32869,
        1.33904,
        1.38724,
        1.36283,
        1.36874,
        1.33579,
        1.33367,
        1.32184,
        1.30187,
        1.33395,
        1.34291,
        1.32992,
        1.29743,
        1.29311,
        1.30579,
        1.35604,
        1.3686,
        1.35628,
        1.36478,
        1.39837,
        1.39865,
        1.3769,
        1.33089,
        1.317,
        1.34458,
        1.34102,
        1.38839,
        1.40194,
        1.36559,
        1.37392,
        1.36179,
        1.30511,
        1.33685,
        1.29964,
        1.33153,
        1.344,
        1.35498,
        1.37416,
        1.33951,
        1.2881,
        1.32061,
        1.34279,
        1.37128,
        1.37844,
        1.39563,
        1.37774,
        1.35476,
        1.37022,
        1.32763,
        1.34734,
        1.33051,
        1.38088,
        1.40273,
        1.35701,
        1.37932,
        1.39875,
        1.35931,
        1.37914,
        1.34082,
        1.29978,
        1.34052,
        1.33404,
        1.301,
        1.32793,
        1.35523,
        1.4065,
        1.38484,
        1.4082,
        1.3367,
        1.33231,
        1.32496,
        1.38525,
        1.39318,
        1.39702,
        1.38913,
        1.36117,
        1.37635,
        1.39194,
        1.36794,
        1.38755,
        1.39144,
        1.38311,
        1.3534,
        1.38444,
        1.37308,
        1.36524,
        1.40674,
        1.41664,
        1.35183,
        1.35852,
        1.36327,
        1.33593,
        1.29012,
        1.38608,
        1.37671,
        1.33107,
        1.3829,
        1.41653,
        1.44342,
        1.41253,
        1.3804,
        1.39842,
        1.44235,
        1.44366,
        1.43859,
        1.46442,
        1.44511,
        1.41343,
        1.4095,
        1.44996,
        1.52181,
        1.53783,
        1.49646,
        1.48013,
        1.4656,
        1.45106,
        1.42502,
        1.39075,
        1.41608,
        1.46662,
        1.44779,
        1.41987,
        1.45095,
        1.50416,
        1.49068,
        1.46142,
        1.42692,
        1.45717,
        1.4868,
        1.4282,
        1.40562,
        1.42705,
        1.40927,
        1.38384,
        1.43897,
        1.43815,
        1.42679,
        1.46167,
        1.41525,
        1.44155,
        1.43227,
        1.40111,
        1.36577,
        1.39883,
        1.41186,
        1.39635,
        1.39578,
        1.4207,
        1.50548,
        1.37902,
        1.44532,
        1.41499,
        1.3876,
        1.43434,
        1.46562,
        1.50556,
        1.50994,
        1.44768,
        1.45723,
        1.42116,
        1.39652,
        1.43054,
        1.40823,
        1.44972,
        1.4259,
        1.40461,
        1.45478,
        1.42923,
        1.45504,
        1.48547,
        1.40964,
        1.40031,
        1.417,
        1.5012,
        1.47798,
        1.43342,
        1.48584,
        1.41563,
        1.43338,
        1.45085,
        1.48501,
        1.51942,
        1.42915,
        1.45647,
        1.48059,
        1.44503,
        1.51603,
        1.42222,
        1.41311,
        1.48438,
        1.42123,
        1.40418,
        1.44214,
        1.52038,
        1.4402,
        1.44191,
        1.45417,
        1.5025,
        1.50738,
        1.4506,
        1.43739,
        1.45507,
        1.48555,
        1.45506,
        1.42381,
        1.42712,
        1.42381,
        1.43385,
        1.37141,
        1.41316,
        1.46313,
        1.44822,
        1.49603,
        1.42079,
        1.43628,
        1.38806,
        1.42151,
        1.38666,
        1.36698,
        1.40593,
        1.58535,
        1.45781,
        1.41358,
        1.4364,
        1.49234,
        1.54571,
        1.49917,
        1.52199,
        1.57908,
        1.53778,
        1.45466,
        1.39782,
        1.44486,
        1.51928,
        1.41401,
        1.39248,
        1.51339,
        1.51888,
        1.47107,
        1.50427,
        1.48237,
        1.46461,
        1.39397,
        1.40166,
        1.50703,
        1.49329,
        1.48734,
        1.50031,
        1.47405,
        1.50244,
        1.52834,
        1.52871,
        1.51345,
        1.45316,
        1.4813,
        1.5435,
        1.62245,
        1.47647,
        1.43463,
        1.41908,
        1.41362,
        1.54126,
        1.52232,
        1.41895,
        1.48157,
        1.47208,
        1.54865,
        1.59064,
        1.56206,
        1.36768,
        1.49282,
        1.53293,
        1.57932,
        1.52731,
        1.50536,
        1.59335,
        1.6422,
        1.51444,
        1.50262,
        1.5297,
        1.57587,
        1.59291,
        1.70484,
        1.60292,
        1.5156,
        1.62684,
        1.5965,
        1.60433,
        1.65352,
        1.66504,
        1.60182,
        1.5496,
        1.68325,
        1.61541,
        1.75812,
        1.74681,
        1.69853,
        1.73525,
        1.7932,
        1.79678,
        1.81965,
        1.77645,
        1.75587,
        1.72627,
        1.73228,
        1.71363,
        1.89994,
        1.85931,
        1.77841,
        1.80977,
        1.84041,
        1.89556,
        1.78891,
        1.83534,
        1.88623,
        1.84203,
        1.70755,
        1.77569,
        1.95968,
        1.91685,
        1.85146,
        1.88528,
        1.86078,
        1.9495,
        1.83541,
        1.84217,
        1.70316,
        1.82705,
        1.73211,
        1.75089,
        1.78814,
        1.90636,
        1.86363,
        1.97084,
        2.02642,
        1.86622,
        1.96453,
        2.02095,
        1.90608,
        1.7998,
        1.96649,
        2.00023,
        1.95711,
        2.00171,
        1.84375,
        1.88526,
        1.86713,
        2.06599,
        2.02838,
        1.99427,
        1.98258,
        2.08708,
        1.88969,
        1.95379,
        1.88828,
        1.93991,
        2.05216,
        1.73093,
        1.57051,
        1.72095,
        1.79514,
        1.71423,
        1.83607,
        1.96746,
        1.77412,
        1.71258,
        1.76221,
        2.20457,
        1.95747,
        1.75019,
        1.79008,
        2.07469,
        2.0965,
        null,
        1.54538,
        1.74056,
        1.5482,
        1.52535,
        1.49479,
        1.67839,
        1.4237,
        1.60255,
        1.48333,
        1.50993,
        1.37208,
        1.2687,
        1.31273,
        1.61053,
        1.41965,
        1.36058,
        1.55382,
        1.43984,
        1.52994,
        1.4498,
        1.37586,
        1.63381,
        1.52424,
        1.232,
        1.45833,
        1.68551,
        1.54028,
        1.35639,
        1.44868,
        1.34125,
        null,
        1.4595,
        1.45874,
        1.36464,
        1.44379,
        1.4615,
        1.46514,
        1.4606,
        1.43094,
        1.40591,
        1.48227,
        1.46937,
        1.53022,
        1.46026,
        1.39684,
        1.38365,
        1.50936,
        1.48056,
        1.43651,
        1.43819,
        1.40391,
        1.47591,
        1.4949,
        1.47118,
        1.40557,
        1.39813,
        1.40934,
        1.4659,
        1.41799,
        1.38183,
        1.38849,
        1.46598,
        1.48356,
        1.44317,
        1.50509,
        1.51331,
        1.43268,
        1.39716,
        1.43506,
        1.39926,
        1.4349,
        1.46174,
        1.48998,
        1.50801,
        1.46824,
        1.43246,
        1.5161,
        1.41362,
        1.43377,
        1.40624,
        1.405,
        1.40831,
        1.50939,
        1.45533,
        1.47441,
        1.36309,
        1.4794,
        1.48186,
        1.37422,
        1.41541,
        1.50097,
        1.45889,
        1.45471,
        1.54083,
        1.51589,
        1.46594,
        1.33603,
        1.20678,
        1.38754,
        1.49168,
        1.45962,
        1.34741,
        1.37034,
        1.43978,
        1.43903,
        1.4544,
        1.50718,
        1.48205,
        1.46352,
        1.5181,
        1.45499,
        1.47258,
        1.43829,
        1.45173,
        1.50247,
        1.46028,
        1.41115,
        1.42791,
        1.47012,
        1.48202,
        1.46546,
        1.40677,
        1.48933,
        1.46064,
        1.33387,
        1.30956,
        1.37803,
        1.36034,
        1.28767,
        1.35287,
        1.43409,
        1.49999,
        1.52652,
        1.49097,
        1.42952,
        1.52723,
        1.56077,
        1.63417,
        1.68624,
        1.58902,
        1.41855,
        1.41369,
        1.50817,
        1.48292,
        1.51698,
        null,
        1.61995,
        1.57186,
        1.56541,
        1.49412,
        1.55393,
        1.56924,
        1.78714,
        1.55131,
        1.52748,
        1.75331,
        1.59905,
        1.50381,
        1.51651,
        1.52455,
        1.59282,
        1.54629,
        1.60005,
        1.48111,
        1.54432,
        1.50578,
        1.4919,
        1.5908,
        1.46722,
        1.51813,
        1.43947,
        1.56581,
        1.46656,
        1.38008,
        1.42751,
        1.49597,
        1.48296,
        1.53322,
        1.50468,
        1.39608,
        1.30773,
        1.47382,
        1.48842,
        1.43999,
        1.43907,
        1.43271,
        1.41402,
        1.39703,
        1.48577,
        1.48815,
        1.40493,
        1.36683,
        1.3085,
        1.34835,
        1.36857,
        1.33577,
        1.36319,
        1.3398,
        1.38467,
        1.45237,
        1.36632,
        1.31441,
        1.42107,
        1.33379,
        1.2863,
        1.36494,
        1.39416,
        1.42721,
        1.33861,
        1.3601,
        1.40458,
        1.37523,
        1.33969,
        1.30862,
        1.26771,
        1.36406,
        1.36346,
        1.42642,
        1.4077,
        1.39011,
        1.35142,
        1.46982,
        1.39859,
        1.35873,
        1.38072,
        1.36828,
        1.31652,
        1.3262,
        1.33325,
        1.33097,
        1.38385,
        1.32646,
        1.34648,
        1.42891,
        1.38849,
        1.36224,
        1.37493,
        1.33175,
        1.39309,
        1.42223,
        1.38374,
        1.36163,
        1.33587,
        1.41051,
        1.35076,
        1.33989,
        1.38204,
        1.34444,
        1.35963,
        1.37559,
        1.37214,
        1.36782,
        1.37243,
        1.41969,
        1.38188,
        1.34449,
        1.39932,
        1.31724,
        1.37725,
        1.35635,
        1.38607,
        1.39448,
        1.33027,
        1.34623,
        1.41805,
        1.34733,
        1.3488,
        1.41607,
        1.42517,
        1.35391,
        1.44021,
        1.38121,
        1.34558,
        1.38511,
        1.3888,
        1.37571,
        1.33485,
        1.40126,
        1.46602,
        1.43238,
        1.3545,
        1.30295,
        1.38873,
        1.32837,
        1.3658,
        1.36312,
        1.3494,
        1.35349,
        1.45937,
        1.51338,
        1.37341,
        1.45463,
        1.48176,
        1.51642,
        1.41682,
        1.44071,
        1.44468,
        1.4597,
        1.42565,
        1.42323,
        1.4278,
        1.35567,
        1.30854,
        1.29052,
        1.36656,
        1.31343,
        1.42907,
        1.40734,
        1.41831,
        1.35669,
        1.34316,
        1.4047,
        1.40113,
        1.36675,
        1.38129,
        1.36655,
        1.33315,
        1.33247,
        1.37613,
        1.31331,
        1.3555,
        1.35038,
        1.36159,
        1.39994,
        1.3829,
        1.37385,
        1.35229,
        1.34021,
        1.34816,
        1.3428,
        1.3884,
        1.42318,
        1.34124,
        1.34222,
        1.37769,
        1.34155,
        1.34137,
        1.31058,
        1.32398,
        1.3651,
        1.37627,
        1.40742,
        1.34393,
        1.34286,
        1.32871,
        1.34337,
        1.31081,
        1.33693,
        1.33263,
        1.34417,
        1.36235,
        1.33507,
        1.36058,
        1.35943,
        1.35188,
        1.44276,
        1.43397,
        1.4206,
        1.38896,
        1.37816,
        1.35557,
        1.37515,
        1.34644,
        1.36152,
        1.37383,
        1.36113,
        1.34327,
        1.35453,
        1.43289,
        1.41543,
        1.37529,
        1.36541,
        1.35806,
        1.37454,
        1.35108,
        1.38153,
        1.40387,
        1.35221,
        1.36759,
        1.34568,
        1.3429,
        1.38472,
        1.37675,
        1.40774,
        1.40983,
        1.42538,
        1.42642,
        1.44552,
        1.42562,
        1.44359,
        1.525,
        1.42773,
        1.4164,
        1.48111,
        1.53492,
        1.5454,
        1.50519,
        1.49352,
        1.49446,
        1.55022,
        1.53541,
        1.51867,
        1.52061,
        1.54341,
        1.50878,
        1.51713,
        1.54011,
        1.54569,
        1.6135,
        1.61307,
        1.5904,
        1.57986,
        1.5686,
        1.59586,
        1.58984,
        1.62634,
        1.67571,
        1.61576,
        1.63618,
        1.61118,
        1.67245,
        1.6919,
        1.69543,
        1.7537,
        1.72237,
        1.7294,
        1.69264,
        1.72545,
        1.78644,
        1.76292,
        1.76655,
        1.78944,
        1.76382,
        1.76259,
        1.79524,
        1.74451,
        1.78206,
        1.82583,
        1.80492,
        1.83379,
        1.83838,
        1.73345,
        1.69798,
        1.74381,
        1.71998,
        1.778,
        1.75665,
        1.75746,
        1.70047,
        1.73407,
        1.75482,
        1.77599,
        1.79079,
        1.711,
        1.73464,
        1.75958,
        1.71492,
        1.81163,
        1.75738,
        1.80865,
        1.81596,
        1.79282,
        1.7653,
        1.75014,
        1.71905,
        1.68144,
        1.74496,
        1.78499,
        1.74853,
        1.68403,
        1.70755,
        1.70945,
        1.66009,
        1.64878,
        1.6463,
        1.67036,
        1.65902,
        1.57257,
        1.54984,
        1.54411,
        1.5608,
        1.55852,
        1.53637,
        1.58275,
        1.58801,
        1.5306,
        1.56697,
        1.55126,
        1.56494,
        1.50145,
        1.53026,
        1.5118,
        1.45089,
        1.43458,
        1.47379,
        1.49792,
        1.52091,
        1.51636,
        1.52885,
        1.54677,
        1.5177,
        1.43378,
        1.40721,
        1.52064,
        1.44876,
        1.39668,
        1.49314,
        1.53552,
        1.55557,
        1.53864,
        1.46517,
        1.47965,
        1.54336,
        1.50359,
        1.5468,
        1.57191,
        1.70685,
        1.68991,
        1.70417,
        1.77381,
        1.76407,
        1.71352,
        1.62132,
        1.40162,
        1.45867,
        1.57537,
        1.68772,
        1.59778,
        1.54133,
        1.51782,
        1.59291,
        1.65845,
        1.55416,
        1.51073,
        1.56409,
        1.57423,
        1.58397,
        1.57696,
        1.45154,
        1.5018,
        1.54157,
        1.49635,
        1.56068,
        1.51936,
        1.49927,
        1.52,
        1.53026,
        1.54923,
        1.49456,
        1.52601,
        1.54038,
        1.5315,
        1.51857,
        1.50311,
        1.51051,
        1.55163,
        1.5682,
        1.53633,
        1.48629,
        1.54322,
        1.5591,
        1.61149,
        1.58618,
        1.5558,
        1.50277,
        1.60538,
        1.53188,
        1.6073,
        1.52682,
        1.49284,
        1.50102,
        1.46798,
        1.51348,
        1.4598,
        1.50437,
        1.58395,
        1.55962,
        1.45612,
        1.50422,
        1.48068,
        1.53428,
        1.58035,
        1.4918,
        1.48723,
        1.45971,
        1.61736,
        1.62311,
        1.51269,
        1.71348,
        1.58808,
        1.66384,
        1.62875,
        1.47382,
        1.61851,
        1.61309,
        1.54962,
        1.57583,
        1.48077,
        1.43064,
        1.40459,
        1.39167,
        1.42033,
        1.45387,
        1.40628,
        1.42328,
        1.43319,
        1.45934,
        1.38204,
        1.39214,
        1.41593,
        1.46408,
        1.48831,
        1.47274,
        1.47024,
        1.45661,
        1.4592,
        1.47941,
        1.46943,
        1.49415,
        1.53474,
        1.39402,
        1.41627,
        1.50292,
        1.50629,
        1.45716,
        1.5104,
        1.4707,
        1.44187,
        1.46126,
        1.56196,
        1.60051,
        1.49193,
        1.53032,
        1.64031,
        1.58945,
        1.58723,
        1.53706,
        1.49423,
        1.55751,
        1.49811,
        1.4624,
        1.58506,
        1.63469,
        1.59422,
        1.5651,
        1.57972,
        1.56831,
        1.55182,
        1.59777,
        1.5385,
        1.56217,
        1.63498,
        1.59311,
        1.52914,
        1.42721,
        1.5757,
        1.54315,
        1.66801,
        1.58319,
        1.60483,
        1.6168,
        1.43219,
        1.61365,
        1.61805,
        1.71525,
        1.64236,
        1.66677,
        1.705,
        1.58126,
        1.34457,
        1.58322,
        1.73393,
        1.68937,
        1.43384,
        1.38616,
        1.45633,
        1.36638,
        1.60035,
        1.50158,
        1.61647,
        1.66807,
        1.62355,
        1.47225,
        1.46984,
        1.53862,
        1.57229,
        1.69434,
        1.60379,
        1.44593,
        1.47225,
        1.4122,
        1.48908,
        1.50476,
        1.49022,
        1.50356,
        1.41591,
        1.4793,
        1.49977,
        1.46458,
        1.4677,
        1.40921,
        1.53792,
        1.4841,
        1.48031,
        1.50204,
        1.44858,
        1.44121,
        1.37482,
        1.43,
        1.47043,
        1.48657,
        1.44475,
        1.48191,
        1.70459,
        1.52835,
        1.51938,
        1.31641,
        1.43822,
        1.35513,
        1.44268,
        1.42966,
        1.2918,
        1.31235,
        1.29745,
        1.3004,
        1.5031,
        1.33032,
        1.32949,
        1.37695,
        1.4374,
        1.5253,
        1.58177,
        1.50853,
        1.59921,
        1.5501,
        1.43208,
        1.46764,
        1.53777,
        1.50171,
        1.31541,
        1.60134,
        1.52845,
        1.50585,
        1.64387,
        1.40106,
        1.46287,
        1.42445,
        1.46654,
        1.54927,
        1.36424,
        1.40476,
        1.44223,
        1.60618,
        1.68639,
        1.67338,
        1.6214,
        1.39533,
        1.52122,
        1.57794,
        1.91323,
        null,
        1.67981,
        1.80145,
        1.78124,
        1.8163,
        1.65391,
        1.72941,
        1.80563,
        1.7593,
        1.62369,
        1.43858,
        1.45831,
        1.61821,
        1.58322,
        1.69506,
        1.62581,
        1.63676,
        1.46966,
        1.67238,
        1.55893,
        1.53771,
        1.48831,
        1.44194,
        1.57959,
        1.5952,
        1.70624,
        1.33482,
        1.30847,
        1.42018,
        1.55661,
        1.5902,
        1.52486,
        1.45456,
        1.42738,
        1.45963,
        1.53113,
        1.45509,
        1.3906,
        1.4112,
        1.46262,
        1.53192,
        1.48265,
        1.39891,
        1.458,
        1.48698,
        1.35144,
        1.37237,
        1.36207,
        1.37964,
        1.46823,
        1.41299,
        1.37247,
        1.42824,
        1.44936,
        1.44647,
        1.46641,
        1.37122,
        1.41639,
        1.44913,
        1.36982,
        1.35457,
        1.35515,
        1.42254,
        1.39235,
        1.35797,
        1.31771,
        1.36924,
        1.33942,
        1.3218,
        1.38231,
        1.44486,
        1.41721,
        1.46785,
        1.49203,
        1.45445,
        1.41858,
        1.43236,
        1.35038,
        1.30743,
        1.41832,
        1.47162,
        1.39361,
        1.34203,
        1.3199,
        1.30389,
        1.29722,
        1.39501,
        1.3891,
        1.43556,
        1.40816,
        1.3836,
        1.3635,
        1.46903,
        1.50364,
        1.46748,
        1.46302,
        1.45285,
        1.413,
        1.36575,
        1.41806,
        1.44029,
        1.4374,
        1.41372,
        1.43199,
        1.38888,
        1.48834,
        1.50307,
        1.4306,
        1.43256,
        1.49579,
        1.53564,
        1.53811,
        1.47387,
        1.44276,
        1.46823,
        1.4899,
        1.5025,
        1.48953,
        1.46923,
        1.49309,
        1.51369,
        1.49796,
        1.47219,
        1.50517,
        1.51342,
        1.55736,
        1.55046,
        1.52209,
        1.52932,
        1.48433,
        1.56678,
        1.54733,
        1.5234,
        1.50308,
        1.53722,
        1.54328,
        1.55873,
        1.5385,
        1.53204,
        1.58856,
        1.63019,
        1.59249,
        1.58991,
        1.6043,
        1.65338,
        1.64972,
        1.61913,
        1.60432,
        1.6024,
        1.61848,
        1.65608,
        1.70055,
        1.6978,
        1.72342,
        1.73694,
        1.75162,
        1.71616,
        1.71971,
        1.71944,
        1.77335,
        1.71527,
        1.75985,
        1.78685,
        1.8121,
        1.77479,
        1.78248,
        1.83778,
        1.88485,
        1.84364,
        1.81417,
        1.81747,
        1.8467,
        1.8239,
        1.82804,
        1.78147,
        1.86393,
        1.78041,
        1.81686,
        1.78267,
        1.7753,
        1.7771,
        1.82006,
        1.81606,
        1.85249,
        1.79054,
        1.78008,
        1.72046,
        1.79187,
        1.81811,
        1.81321,
        1.79599,
        1.78647,
        1.77282,
        1.7235,
        1.75592,
        1.73245,
        1.75463,
        1.74296,
        1.7404,
        1.76508,
        1.8047,
        1.82696,
        1.77139,
        1.81764,
        1.82709,
        1.77013,
        1.73948,
        1.74998,
        1.71072,
        1.73031,
        1.79368,
        1.74014,
        1.70801,
        1.65436,
        1.67267,
        1.6557,
        1.64692,
        1.6263,
        1.65307,
        1.67481,
        1.66017,
        1.66621,
        1.64199,
        1.67506,
        1.64157,
        1.56424,
        1.58567,
        1.61528,
        1.56991,
        1.55855,
        1.56765,
        1.53164,
        1.53929,
        1.49347,
        1.50477,
        1.46273,
        1.49047,
        1.41394,
        1.38024,
        1.44769,
        1.48715,
        1.47092,
        1.4673,
        1.44552,
        1.46688,
        1.44125,
        1.42564,
        1.39469,
        1.47434,
        1.46122,
        1.43874,
        1.44391,
        1.40051,
        1.43446,
        1.42212,
        1.42788,
        1.41627,
        1.49034,
        1.4573,
        1.39784,
        1.42758,
        1.4325,
        1.39155,
        1.3995,
        1.47397,
        1.48056,
        1.44775,
        1.46244,
        1.48643,
        1.46892,
        1.49896,
        1.46341,
        1.50696,
        1.48822,
        1.43909,
        1.43574,
        1.38883,
        1.41724,
        1.47695,
        1.45277,
        1.47955,
        1.44799,
        1.4649,
        1.45156,
        1.42423,
        1.4115,
        1.45258,
        1.42896,
        1.42547,
        1.40593,
        1.40337,
        1.4211,
        1.36727,
        1.4246,
        1.46334,
        1.43767,
        1.41245,
        1.4444,
        1.45799,
        1.41086,
        1.35679,
        1.41114,
        1.40663,
        1.42086,
        1.38252,
        1.4482,
        1.49391,
        1.45096,
        1.48188,
        1.45861,
        1.40591,
        1.42128,
        1.48795,
        1.46734,
        1.48735,
        1.44446,
        1.44756,
        1.43666,
        1.36767,
        1.38295,
        1.42298,
        1.42897,
        1.37925,
        1.35225,
        1.39184,
        1.34714,
        1.35764,
        1.34776,
        1.39229,
        1.38696,
        1.37845,
        1.42518,
        1.36895,
        1.37127,
        1.42341,
        1.39624,
        1.38481,
        1.42751,
        1.41101,
        1.39004,
        1.42617,
        1.40099,
        1.40563,
        1.38816,
        1.44538,
        1.44279,
        1.44914,
        1.51836,
        1.43748,
        1.43717,
        1.42087,
        1.45484,
        1.38559,
        1.38918,
        1.40515,
        1.45566,
        1.42928,
        1.39776,
        1.42618,
        1.43277,
        1.43461,
        1.44469,
        1.4054,
        1.42912,
        1.46371,
        1.4915,
        1.42005,
        1.44909,
        1.43264,
        1.46163,
        1.46949,
        1.48668,
        1.47931,
        1.42245,
        1.45034,
        1.4241,
        1.39294,
        1.43036,
        1.40301,
        1.39573,
        1.43863,
        1.46738,
        1.41547,
        1.44357,
        1.47324,
        1.44199,
        1.3669,
        1.41077,
        1.45647,
        1.44195,
        1.45116,
        1.46202,
        1.45082,
        1.47613,
        1.42741,
        1.42404,
        1.44211,
        1.46325,
        1.46661,
        1.44262,
        1.4365,
        1.41225,
        1.39657,
        1.4543,
        1.50394,
        1.45473,
        1.389,
        1.49023,
        1.46088,
        1.45325,
        1.50179,
        1.5166,
        1.53108,
        1.54588,
        1.55357,
        1.53755,
        1.56728,
        1.4788,
        1.43796,
        1.49043,
        1.44757,
        1.48478,
        1.49667,
        1.49597,
        1.48872,
        1.56581,
        1.52315,
        1.46364,
        1.53489,
        1.56951,
        1.57877,
        1.48119,
        1.52621,
        1.51529,
        1.47972,
        1.51054,
        1.71266,
        1.53111,
        1.57613,
        1.61225,
        1.84704,
        1.95625,
        1.90455,
        1.6216,
        1.48138,
        1.52756,
        1.42602,
        1.53783,
        1.52539,
        1.52602,
        1.57858,
        1.5266,
        1.55194,
        1.54804,
        1.45003,
        1.47572,
        1.49274,
        1.59329,
        1.56835,
        1.46118,
        1.44016,
        1.4393,
        1.53777,
        1.48461,
        1.53398,
        1.52724,
        1.39392,
        1.46253,
        1.56746,
        1.6348,
        1.56253,
        1.57814,
        1.56577,
        1.52387,
        1.50083,
        1.55407,
        1.50701,
        1.5582,
        1.61238,
        1.57047,
        1.55549,
        1.60166,
        1.54142,
        1.51336,
        1.52342,
        1.56332,
        1.5036,
        1.50377,
        1.56756,
        1.55471,
        1.56888,
        1.57342,
        1.53627,
        1.52687,
        1.56741,
        1.5848,
        1.56164,
        1.55925,
        1.50597,
        1.5479,
        1.54118,
        1.49439,
        1.50615,
        1.52269,
        1.55516,
        1.58385,
        1.50704,
        1.5262,
        1.51663,
        1.44809,
        1.55447,
        1.51034,
        1.5054,
        1.44124,
        1.49423,
        1.50069,
        1.44436,
        1.49586,
        1.46823,
        1.48582,
        1.56514,
        1.48177,
        1.46091,
        1.50695,
        1.48629,
        1.49109,
        1.53645,
        1.5957,
        1.60713,
        1.56776,
        1.57301,
        1.53788,
        1.55184,
        1.57152,
        1.60693,
        1.50378,
        1.56443,
        1.56883,
        1.54646,
        1.52123,
        1.53617,
        1.54891,
        1.55399,
        1.62314,
        1.62357,
        1.5681,
        1.58063,
        1.61029,
        1.67364,
        1.60968,
        1.63408,
        1.62885,
        1.68918,
        1.68373,
        1.65056,
        1.62849,
        1.68704,
        1.64429,
        1.62737,
        1.67267,
        1.70346,
        1.62323,
        1.73566,
        1.75926,
        1.6512,
        1.74373,
        1.51108,
        1.70732,
        1.72437,
        1.69185,
        1.73927,
        1.67488,
        1.65071,
        1.61044,
        1.55569,
        1.77054,
        1.71299,
        1.63822,
        1.74543,
        1.78738,
        1.68795,
        1.63385,
        1.62324,
        1.56626,
        1.60361,
        1.66815,
        1.75604,
        1.76455,
        1.80322,
        1.64136,
        1.65479,
        1.7649,
        1.75941,
        1.67581,
        1.70447,
        1.70753,
        1.66636,
        1.62558,
        1.73046,
        1.64671,
        1.68177,
        1.7305,
        1.74765,
        1.80225,
        1.76176,
        1.7644,
        1.7739,
        1.70749,
        1.69858,
        1.74899,
        1.7924,
        1.79869,
        1.76766,
        1.79121,
        1.8488,
        1.76632,
        1.73853,
        1.75406,
        1.70782,
        1.71213,
        1.67615,
        1.70352,
        1.68874,
        1.72524,
        1.6797,
        1.7197,
        1.66856,
        1.63953,
        1.6966,
        1.63197,
        1.63792,
        1.6351,
        1.58141,
        1.57904,
        1.67738,
        1.62863,
        1.67684,
        1.6425,
        1.54116,
        1.63948,
        1.68025,
        1.5863,
        1.69242,
        1.59664,
        1.6446,
        1.6999,
        1.69047,
        1.68165,
        1.58189,
        1.57107,
        1.57919,
        1.53913,
        1.5552,
        1.65986,
        1.74087,
        1.92934,
        1.83119,
        1.63995,
        1.83146,
        1.90679,
        1.66502,
        1.781,
        1.77874,
        1.8009,
        1.69187,
        1.64297,
        1.74572,
        1.78699,
        1.73084,
        1.56893,
        1.57513,
        1.51541,
        1.62438,
        2.02715,
        2.21358,
        1.49416,
        1.60113,
        1.70138,
        1.66231,
        1.60599,
        1.66258,
        1.76584,
        1.55235,
        1.58205,
        1.5636,
        1.59363,
        1.56993,
        1.60702,
        1.61348,
        1.66788,
        1.63193,
        1.60402,
        1.60661,
        1.69319,
        1.60367,
        1.54095,
        1.65229,
        1.63343,
        1.59751,
        1.54092,
        1.64602,
        1.66391,
        1.53697,
        1.57291,
        1.60427,
        1.50952,
        1.51614,
        1.55481,
        1.49435,
        1.54666,
        1.67009,
        1.66767,
        1.6263,
        1.5966,
        1.66235,
        1.61364,
        1.67774,
        1.64291,
        1.61179,
        1.59896,
        1.68168,
        1.6392,
        1.74075,
        1.6977,
        1.67697,
        1.68165,
        1.66743,
        1.70969,
        1.78653,
        1.82057,
        1.72525,
        1.67609,
        1.67335,
        1.73047,
        1.63698,
        1.68773,
        1.69106,
        1.63655,
        1.73629,
        1.67557,
        1.64197,
        1.64463,
        1.6499,
        1.62133,
        1.67916,
        1.68781,
        1.6011,
        1.59123,
        1.6511,
        1.61732,
        1.48933,
        1.5485,
        1.61646,
        1.57864,
        1.58347,
        1.58014,
        1.51053,
        1.65805,
        1.6181,
        1.59164,
        1.63047,
        1.63494,
        1.72751,
        1.74635,
        1.66886,
        1.63629,
        1.56728,
        1.6042,
        1.64109,
        1.62815,
        1.63827,
        1.61616,
        1.64151,
        1.59361,
        1.6669,
        1.76508,
        1.82922,
        1.79886,
        1.7393,
        1.71365,
        1.72807,
        1.76119,
        1.78958,
        1.7117,
        1.68379,
        1.78805,
        1.81078,
        1.76518,
        1.72727,
        1.80037,
        1.87461,
        1.82782,
        1.81682,
        1.704,
        1.72565,
        1.68598,
        1.82945,
        1.87503,
        1.85943,
        1.81052,
        1.85105,
        1.85334,
        1.74807,
        1.78829,
        1.92613,
        1.88384,
        1.75506,
        1.75146,
        1.86481,
        1.87662,
        1.83991,
        1.80497,
        1.75068,
        1.80265,
        1.81449,
        1.80866,
        1.88899,
        1.83776,
        1.75935,
        1.77586,
        1.75832,
        1.70733,
        1.75515,
        1.79345,
        1.74146,
        1.69115,
        1.67345,
        1.70513,
        1.81001,
        1.72457,
        1.81305,
        1.80018,
        1.70002,
        1.70303,
        1.74176,
        1.80462,
        1.75576,
        1.70263,
        1.62978,
        1.68746,
        1.79652,
        1.75166,
        1.70692,
        1.71594,
        1.83225,
        1.69652,
        1.77024,
        1.87007,
        1.84602,
        1.76853,
        1.87425,
        1.82925,
        1.9082,
        1.89338,
        1.85221,
        1.76631,
        1.83613,
        1.71209,
        1.76378,
        1.73028,
        1.72013,
        1.68681,
        1.65717,
        1.53792,
        1.6059,
        1.70932,
        1.67938,
        1.61741,
        1.613,
        1.61296,
        1.66177,
        1.63699,
        1.60298,
        1.61707,
        1.71165,
        1.65575,
        1.60536,
        1.47486,
        1.56511,
        1.47043,
        1.52268,
        1.52413,
        1.50829,
        1.55095,
        1.4678,
        1.54851,
        1.58551,
        1.64673,
        1.68558,
        1.57423,
        1.51958,
        1.51875,
        1.47478,
        1.55495,
        1.44598,
        1.37041,
        1.41866,
        1.38458,
        1.41653,
        1.46903,
        1.49828,
        1.50067,
        1.56698,
        1.65768,
        1.61914,
        1.47582,
        1.52256,
        1.5767,
        1.46309,
        1.46246,
        1.52792,
        1.43621,
        1.54967,
        1.62619,
        1.59492,
        1.55202,
        1.52061,
        1.53951,
        1.47132,
        1.57802,
        1.645,
        1.71113,
        1.54248,
        1.70001,
        1.486,
        1.60202,
        1.60954,
        1.57154,
        1.4755,
        1.3698,
        1.31224,
        1.33449,
        1.55765,
        1.38226,
        1.42291,
        1.30965,
        1.39792,
        1.67159,
        1.795,
        1.72513,
        1.6611,
        1.37201,
        1.54813,
        1.41495,
        1.33266,
        1.50033,
        1.43457,
        1.57731,
        1.50895,
        1.53284,
        1.73026,
        1.40242,
        1.58587,
        1.60035,
        1.58893,
        1.69374,
        null,
        1.70541,
        1.67016,
        1.48254,
        1.80512,
        1.48775,
        1.42556,
        1.49739,
        1.65401,
        1.71796,
        1.66215,
        1.46366,
        1.33972,
        1.40865,
        1.51124,
        1.55166,
        1.42957,
        1.47902,
        1.4506,
        1.59096,
        1.35796,
        1.38186,
        1.46957,
        1.47192,
        1.47193,
        1.54385,
        1.52798,
        1.59189,
        1.46879,
        1.44567,
        1.37462,
        1.5263,
        1.68944,
        1.52565,
        1.53092,
        1.47681,
        1.56785,
        1.57688,
        1.73912,
        1.38556,
        1.35626,
        1.36172,
        1.50291,
        1.56158,
        1.59035,
        1.44901,
        1.63334,
        1.60413,
        1.49884,
        1.3719,
        1.394,
        1.56133,
        1.31413,
        1.30583,
        1.39714,
        1.66027,
        1.58111,
        1.52424,
        1.6066,
        1.59001,
        1.53246,
        1.47556,
        1.493,
        1.5515,
        1.42405,
        1.5604,
        1.6083,
        1.41036,
        1.52139,
        1.45298,
        1.63987,
        1.57367,
        1.48163,
        1.5005,
        1.36661,
        1.39812,
        1.65704,
        1.67869,
        1.57788,
        1.61495,
        1.48774,
        1.48003,
        1.58308,
        1.42056,
        1.72911,
        1.60071,
        1.48051,
        1.44359,
        1.59731,
        1.62353,
        1.52573,
        1.59905,
        1.37576,
        1.37874,
        1.53166,
        1.62618,
        1.44396,
        1.42371,
        1.5168,
        1.56309,
        1.52556,
        1.53535,
        1.47608,
        1.46434,
        1.40375,
        1.42838,
        1.38339,
        1.37988,
        1.45588,
        1.34257,
        1.56711,
        1.56108,
        1.41731,
        1.3397,
        1.35549,
        1.52317,
        1.33768,
        1.43153,
        1.52424,
        1.43088,
        1.49286,
        1.53115,
        1.44929,
        1.46516,
        1.46262,
        1.53805,
        1.58328,
        1.48814,
        1.41232,
        1.49,
        1.54783,
        1.56681,
        1.55659,
        1.5534,
        1.46961,
        1.54099,
        1.40847,
        1.54077,
        1.48038,
        1.37335,
        1.41231,
        1.35837,
        1.35707,
        1.47671,
        1.49437,
        1.5765,
        1.58524,
        1.60013,
        1.56279,
        1.46544,
        1.45769,
        1.42279,
        1.43456,
        1.34635,
        1.25963,
        1.51795,
        1.5104,
        1.38669,
        1.37626,
        1.42951,
        1.45805,
        1.38538,
        1.40849,
        1.35517,
        1.34279,
        1.44227,
        1.43176,
        1.46142,
        1.56938,
        1.44525,
        1.49729,
        1.47376,
        1.4712,
        1.47673,
        1.36811,
        1.32041,
        1.46174,
        1.4094,
        1.34903,
        1.42913,
        1.39374,
        1.42288,
        1.44629,
        1.46358,
        1.50162,
        1.40412,
        1.36879,
        1.50301,
        1.47622,
        1.50741,
        1.41828,
        1.3928,
        1.50744,
        1.48765,
        1.5,
        1.45928,
        1.38905,
        1.47571,
        1.50299,
        1.59314,
        1.55598,
        1.44768,
        1.3204,
        1.47584,
        1.52304,
        1.63298,
        1.60396,
        1.76008,
        1.555,
        1.74009,
        1.69954,
        1.63496,
        1.8946,
        1.72728,
        1.54971,
        1.72163,
        1.5941,
        1.63613,
        1.50031,
        1.46575,
        1.53078,
        1.51778,
        1.46075,
        1.46341,
        1.49981,
        1.55384,
        1.50482,
        1.43804,
        1.52262,
        1.42049,
        1.48228,
        1.49853,
        1.49545,
        1.46872,
        1.47981,
        1.50798,
        1.44753,
        1.40988,
        1.49734,
        1.52221,
        1.40107,
        1.528,
        1.47302,
        1.49056,
        1.43116,
        1.53081,
        1.48488,
        1.49583,
        1.49079,
        1.46677,
        1.52779,
        1.59111,
        1.56893,
        1.57215,
        1.55432,
        1.617,
        1.61045,
        1.54555,
        1.56198,
        1.66444,
        1.56903,
        1.48454,
        1.64719,
        1.58584,
        1.55867,
        1.50597,
        1.60238,
        1.6702,
        1.56239,
        1.64049,
        1.59108,
        1.64266,
        1.59976,
        1.61538,
        1.64744,
        1.65253,
        1.6289,
        1.53774,
        1.58665,
        1.58778,
        1.5885,
        1.66029,
        1.57996,
        1.54061,
        1.55984,
        1.61363,
        1.6233,
        1.68609,
        1.57816,
        1.51189,
        1.52174,
        1.53719,
        1.55634,
        1.51991,
        1.54519,
        1.45995,
        1.44004,
        1.47206,
        1.57934,
        1.54742,
        1.53649,
        1.50496,
        1.53948,
        1.5471,
        1.52841,
        1.59914,
        1.59704,
        1.57236,
        1.59289,
        1.6057,
        1.59714,
        1.57052,
        1.50212,
        1.5613,
        1.55193,
        1.515,
        1.51627,
        1.48548,
        1.5288,
        1.51909,
        1.52476,
        1.52751,
        1.51808,
        1.59593,
        1.56564,
        1.57264,
        1.50022,
        1.56126,
        1.57224,
        1.55614,
        1.5775,
        1.56322,
        1.54867,
        1.58034,
        1.57278,
        1.61011,
        1.55608,
        1.5772,
        1.57449,
        1.5653,
        1.58406,
        1.57145,
        1.5203,
        1.67715,
        1.67418,
        1.54,
        1.58047,
        1.65851,
        1.6398,
        1.76345,
        1.68795,
        2.03703,
        1.78808,
        1.63627,
        1.63818,
        1.60477,
        1.65459,
        1.62125,
        1.62738,
        1.63127,
        1.64211,
        1.60988,
        1.67531,
        1.62547,
        1.72916,
        1.63483,
        1.58553,
        1.75806,
        1.75609,
        1.69243,
        1.72781,
        1.67444,
        1.77412,
        1.77267,
        1.70276,
        1.7029,
        1.75295,
        1.7114,
        1.69395,
        1.76434,
        1.66055,
        1.69276,
        1.7827,
        1.75152,
        1.74944,
        1.76858,
        1.70956,
        1.6787,
        1.75447,
        1.77734,
        1.75971,
        1.78729,
        1.68539,
        1.77047,
        1.83752,
        1.74364,
        1.73342,
        1.78023,
        1.7865,
        1.74754,
        1.69606,
        1.73539,
        1.76702,
        1.81881,
        1.87406,
        1.8904,
        1.82145,
        1.83699,
        1.75157,
        1.80292,
        1.79167,
        1.80104,
        1.78827,
        1.76663,
        1.70602,
        1.74742,
        1.77774,
        1.83772,
        1.83473,
        1.77949,
        1.75672,
        1.83036,
        1.82076,
        1.78426,
        1.75568,
        1.73745,
        1.6484,
        1.67864,
        1.73467,
        1.63141,
        1.70867,
        1.85496,
        1.9283,
        1.59265,
        1.80522,
        1.67552,
        1.73408,
        1.52638,
        1.68377,
        1.87389,
        1.77978,
        1.51666,
        1.55783,
        1.73369,
        1.49178,
        1.55306,
        1.48429,
        1.59703,
        1.59447,
        1.55116,
        1.63586,
        1.53198,
        1.55826,
        1.55587,
        1.51867,
        1.53888,
        1.46996,
        1.46421,
        1.54425,
        1.51633,
        1.66235,
        1.67155,
        1.56274,
        1.60938,
        1.56816,
        1.61676,
        1.60532,
        1.48806,
        1.4919,
        1.5342,
        1.48813,
        1.4407,
        1.49126,
        1.49052,
        1.48489,
        1.4812,
        1.45837,
        1.50532,
        1.46375,
        1.43273,
        1.53195,
        1.48116,
        1.40818,
        1.41354,
        1.41324,
        1.43604,
        1.3454,
        1.43194,
        1.45063,
        1.43058,
        1.41714,
        1.39693,
        1.44497,
        1.46959,
        1.43765,
        1.37429,
        1.43407,
        1.46633,
        1.46157,
        1.49146,
        1.42829,
        1.34911,
        1.42199,
        1.42601,
        1.34931,
        1.37234,
        1.37168,
        1.33361,
        1.45091,
        1.44806,
        1.47454,
        1.50578,
        1.4332,
        1.40509,
        1.40363,
        1.41654,
        1.43659,
        1.48426,
        1.41509,
        1.49419,
        1.42792,
        1.4063,
        1.45725,
        1.41288,
        1.41615,
        1.4589,
        1.45674,
        1.43621,
        1.43352,
        1.3768,
        1.43096,
        1.38538,
        1.46753,
        1.3677,
        1.41795,
        1.46924,
        1.4531,
        1.39801,
        1.38401,
        1.35138,
        1.369,
        1.45224,
        1.42407,
        1.42421,
        1.33203,
        1.41473,
        1.39167,
        1.39407,
        1.53576,
        1.47218,
        1.4277,
        1.40987,
        1.43678,
        1.482,
        1.55873,
        1.523,
        1.48548,
        1.51068,
        1.4753,
        1.51043,
        1.49233,
        1.36423,
        1.47209,
        1.44797,
        1.52232,
        1.51,
        1.47966,
        1.46681,
        1.4508,
        1.5001,
        1.53291,
        1.47149,
        1.484,
        1.51209,
        1.53951,
        1.49125,
        1.49501,
        1.59602,
        1.5437,
        1.48163,
        1.50865,
        1.51361,
        1.56122,
        1.50388,
        1.45912,
        1.45403,
        1.56276,
        1.53863,
        1.47453,
        1.43017,
        1.44364,
        1.5185,
        1.42769,
        1.47564,
        1.4408,
        1.43424,
        1.45835,
        1.4674,
        1.441,
        1.45952,
        1.48987,
        1.47648,
        1.43457,
        1.45345,
        1.51727,
        1.52178,
        1.50922,
        1.55451,
        1.54905,
        1.4695,
        1.51942,
        1.54588,
        1.51378,
        1.54935,
        1.52138,
        1.50556,
        1.44477,
        1.4051,
        1.48836,
        1.43667,
        1.43374,
        1.48574,
        1.45501,
        1.48008,
        1.46103,
        1.45445,
        1.44336,
        1.45276,
        1.44343,
        1.44767,
        1.46956,
        1.4839,
        1.41191,
        1.39389,
        1.4553,
        1.4883,
        1.48201,
        1.4675,
        1.47448,
        1.38243,
        1.3862,
        1.38697,
        1.38404,
        1.42282,
        1.45176,
        1.43292,
        1.33852,
        1.33449,
        1.40474,
        1.42147,
        1.48577,
        1.41494,
        1.43458,
        1.41926,
        1.41805,
        1.39103,
        1.41337,
        1.40741,
        1.37227,
        1.43955,
        1.44271,
        1.43296,
        1.40045,
        1.36648,
        1.46387,
        1.40405,
        1.46614,
        1.40983,
        1.41746,
        1.33064,
        1.33985,
        1.44402,
        1.53422,
        1.60114,
        1.54805,
        1.53611,
        1.43429,
        1.46297,
        1.43193,
        1.40978,
        1.383,
        1.48318,
        1.4584,
        1.44459,
        1.50888,
        1.46563,
        1.46075,
        1.46895,
        1.43343,
        1.46355,
        1.48739,
        1.47071,
        1.44776,
        1.40291,
        1.43748,
        1.54243,
        1.48443,
        1.41319,
        1.43823,
        1.42141,
        1.36779,
        1.41997,
        1.47089,
        1.45971,
        1.36982,
        1.40187,
        1.40725,
        1.45805,
        1.44945,
        1.4667,
        1.43695,
        1.45231,
        1.42327,
        1.46154,
        1.437,
        1.44894,
        1.42372,
        1.45837,
        1.42307,
        1.49519,
        1.43656,
        1.52242,
        1.47942,
        1.45378,
        1.47312,
        1.52182,
        1.45199,
        1.44072,
        1.42442,
        1.35176,
        1.43173,
        1.43241,
        1.41536,
        1.45129,
        1.46109,
        1.44122,
        1.46702,
        1.45717,
        1.42759,
        1.43598,
        1.4639,
        1.46122,
        1.40793,
        1.33031,
        1.35169,
        1.40216,
        1.37385,
        1.38742,
        1.38557,
        1.35938,
        1.31514,
        1.4038,
        1.37669,
        1.33713,
        1.42561,
        1.42556,
        1.42804,
        1.46425,
        1.3665,
        1.34375,
        1.42821,
        1.36196,
        1.34261,
        1.42031,
        1.388,
        1.35173,
        1.41571,
        1.51143,
        1.42431,
        1.42064,
        1.46951,
        1.41233,
        1.39773,
        1.3985,
        1.42818,
        1.4379,
        1.44264,
        1.47818,
        1.44349,
        1.42707,
        1.35278,
        1.40746,
        1.4458,
        1.45486,
        1.37849,
        1.36676,
        1.35483,
        1.31615,
        1.41634,
        1.4485,
        1.46114,
        1.46039,
        1.48608,
        1.51987,
        1.40501,
        1.38123,
        1.47404,
        1.4309,
        1.46724,
        1.41928,
        1.39497,
        1.3663,
        1.37843,
        1.44599,
        1.46226,
        1.47005,
        1.42356,
        1.41535,
        1.55358,
        1.45973,
        1.41082,
        1.37038,
        1.34185,
        1.39216,
        1.40442,
        1.39213,
        1.38924,
        1.43559,
        1.54611,
        1.44082,
        1.47978,
        1.49461,
        1.47961,
        1.42215,
        1.40647,
        1.47428,
        1.53996,
        1.44937,
        1.47342,
        1.45421,
        1.40957,
        1.39812,
        1.53331,
        1.53648,
        1.44322,
        1.39516,
        1.34428,
        1.42283,
        1.52408,
        1.50863,
        1.50921,
        1.49361,
        1.48138,
        1.38368,
        1.41952,
        1.49079,
        1.37304,
        1.43968,
        1.52637,
        1.45612,
        1.47249,
        1.41787,
        1.40292,
        1.50856,
        1.53007,
        1.4359,
        1.43015,
        1.43002,
        1.50274,
        1.47249,
        1.49904,
        1.41274,
        1.42536,
        1.46046,
        1.50563,
        1.52969,
        1.49447,
        1.45723,
        1.48005,
        1.45602,
        1.45544,
        1.41524,
        1.37109,
        1.51446,
        1.43173,
        1.58727,
        1.50949,
        1.47418,
        1.51409,
        1.47564,
        1.46353,
        1.46161,
        1.61488,
        1.48452,
        1.52235,
        1.56592,
        1.54734,
        1.52228,
        1.74252,
        1.53164,
        1.63102,
        1.57234,
        1.44478,
        1.40946,
        1.44719,
        1.51945,
        1.78919,
        null,
        1.81323,
        1.60893,
        1.80022,
        1.98463,
        1.99314,
        1.90662,
        2.15097,
        1.86316,
        1.93532,
        2.06951,
        1.92565,
        1.94007,
        2.12405,
        2.07511,
        1.86807,
        1.88883,
        1.84538,
        1.8167,
        2.0358,
        1.88541,
        1.77289,
        1.87602,
        1.86422,
        1.87579,
        1.73038,
        1.75996,
        1.78385,
        1.79173,
        1.79305,
        1.75654,
        1.81924,
        1.7661,
        1.67715,
        1.72832,
        1.81868,
        1.77096,
        1.70791,
        1.79222,
        1.95118,
        1.94576,
        1.93592,
        1.7577,
        1.69922,
        1.72945,
        1.75168,
        1.78168,
        1.69502,
        1.71234,
        1.5826,
        1.61714,
        1.59303,
        1.67719,
        1.58219,
        1.66594,
        1.64386,
        1.65301,
        1.64058,
        1.57406,
        1.69452,
        1.62861,
        1.6677,
        1.63635,
        1.61912,
        1.66456,
        1.59942,
        1.47755,
        1.408,
        1.43371,
        1.42563,
        1.51906,
        1.56433,
        1.53589,
        1.53871,
        1.55689,
        1.55215,
        1.55379,
        1.53442,
        1.50675,
        1.52851,
        1.52123,
        1.41499,
        1.4428,
        1.44119,
        1.45186,
        1.45561,
        1.45461,
        1.4725,
        1.39698,
        1.36546,
        1.42665,
        1.48728,
        1.50653,
        1.45298,
        1.42705,
        1.45688,
        1.49601,
        1.49114,
        1.44614,
        1.42869,
        1.45245,
        1.50543,
        1.49636,
        1.53926,
        1.47369,
        1.482,
        1.4779,
        1.39964,
        1.47448,
        1.48048,
        1.45873,
        1.44583,
        1.45401,
        1.49122,
        1.46395,
        1.45867,
        1.51432,
        1.49378,
        1.43855,
        1.53101,
        1.51184,
        1.45296,
        1.42062,
        1.41222,
        1.43259,
        1.42339,
        1.51989,
        1.57732,
        1.40696,
        1.41685,
        1.45916,
        1.46144,
        1.43046,
        1.47096,
        1.40471,
        1.44164,
        1.37723,
        1.43181,
        1.4931,
        1.49558,
        1.47879,
        1.48216,
        1.48892,
        1.4231,
        1.40564,
        1.44153,
        1.42224,
        1.39481,
        1.42239,
        1.38196,
        1.38903,
        1.39263,
        1.41925,
        1.38145,
        1.42458,
        1.39172,
        1.41184,
        1.40882,
        1.36153,
        1.41478,
        1.40432,
        1.37455,
        1.37119,
        1.41163,
        1.4616,
        1.48396,
        1.39588,
        1.4582,
        1.4475,
        1.32737,
        1.3798,
        1.33861,
        1.49157,
        1.4972,
        1.50863,
        1.41897,
        1.37365,
        1.37704,
        1.38083,
        1.42414,
        1.41872,
        1.47653,
        1.43438,
        1.46151,
        1.4532,
        1.40093,
        1.43673,
        1.38629,
        1.43519,
        1.45104,
        1.4223,
        1.45537,
        1.48565,
        1.44151,
        1.45346,
        1.36265,
        1.3847,
        1.38629,
        1.48739,
        1.49648,
        1.37771,
        1.46582,
        1.46062,
        1.46466,
        1.37135,
        1.43887,
        1.50147,
        1.51361,
        1.52848,
        1.57546,
        1.54125,
        1.52406,
        1.4436,
        1.44059,
        1.42085,
        1.40779,
        1.4422,
        1.42338,
        1.42601,
        1.49503,
        1.60199,
        1.54814,
        1.47841,
        1.49662,
        1.48404,
        1.44599,
        1.48407,
        1.429,
        1.40986,
        1.42761,
        1.41712,
        1.48065,
        1.43421,
        1.40618,
        1.51665,
        1.45004,
        1.42175,
        1.42642,
        1.44789,
        1.41574,
        1.41869,
        1.43516,
        1.4218,
        1.41901,
        1.41518,
        1.42483,
        1.41223,
        1.36613,
        1.39523,
        1.44673,
        1.43785,
        1.46432,
        1.5027,
        1.44106,
        1.42618,
        1.33925,
        1.41611,
        1.43915,
        1.5091,
        1.45838,
        1.42266,
        1.35165,
        1.41172,
        1.40691,
        1.38727,
        1.4303,
        1.38885,
        1.44995,
        1.43368,
        1.4337,
        1.40383,
        1.47005,
        1.43563,
        1.43686,
        1.38317,
        1.43414,
        1.45472,
        1.46617,
        1.46471,
        1.39717,
        1.41753,
        1.43118,
        1.45111,
        1.42685,
        1.41812,
        1.39471,
        1.44455,
        1.43274,
        1.4736,
        1.36089,
        1.32801,
        1.45255,
        1.49291,
        1.47754,
        1.44677,
        1.41507,
        1.3986,
        1.41951,
        1.4009,
        1.3834,
        1.5049,
        1.39627,
        1.41044,
        1.39041,
        1.36147,
        1.45124,
        1.44433,
        1.46259,
        1.43172,
        1.41337,
        1.4012,
        1.38776,
        1.40396,
        1.41281,
        1.44875,
        1.43166,
        1.39491,
        1.39712,
        1.41674,
        1.41925,
        1.37792,
        1.45378,
        1.48495,
        1.4071,
        1.33116,
        1.37374,
        1.43169,
        1.36008,
        1.40272,
        1.38391,
        1.34653,
        1.43612,
        1.44236,
        1.37348,
        1.41105,
        1.44015,
        1.48614,
        1.46936,
        1.42978,
        1.41997,
        1.40794,
        1.47277,
        1.45163,
        1.4418,
        1.45774,
        1.43099,
        1.47904,
        1.4836,
        1.42198,
        1.42758,
        1.41078,
        1.47791,
        1.42813,
        1.51881,
        1.4513,
        1.46431,
        1.44135,
        1.41156,
        1.37317,
        1.49831,
        1.46871,
        1.42575,
        1.38926,
        1.35956,
        1.41602,
        1.46596,
        1.43191,
        1.37597,
        1.44309,
        1.43531,
        1.40237,
        1.4849,
        1.44361,
        1.36794,
        1.4581,
        1.47038,
        1.36804,
        1.39097,
        1.33137,
        1.37058,
        1.38628,
        1.41276,
        1.42855,
        1.46427,
        1.41416,
        1.33453,
        1.45356,
        1.37948,
        1.36234,
        1.32133,
        1.38999,
        1.43291,
        1.36242,
        1.42515,
        1.40697,
        1.41927,
        1.46659,
        1.33164,
        1.38038,
        1.43032,
        1.37095,
        1.40109,
        1.42081,
        1.44393,
        1.38928,
        1.3775,
        1.38994,
        1.50925,
        1.39269,
        1.42951,
        1.44531,
        1.43114,
        1.38253,
        1.3617,
        1.48569,
        1.3929,
        1.36502,
        1.43374,
        1.36705,
        1.33989,
        1.29182,
        1.39046,
        1.42256,
        1.36021,
        1.47609,
        1.48316,
        1.4319,
        1.44752,
        1.46955,
        1.43026,
        1.42539,
        1.40425,
        1.40133,
        1.45168,
        1.41667,
        1.35496,
        1.49041,
        1.49172,
        1.42173,
        1.38802,
        1.37566,
        1.31823,
        1.35177,
        1.30685,
        1.38981,
        1.4222,
        1.34278,
        1.38614,
        1.39336,
        1.42688,
        1.39318,
        1.33509,
        1.35822,
        1.39657,
        1.41569,
        1.32453,
        1.40597,
        1.45495,
        1.35899,
        1.38728,
        1.40363,
        1.36523,
        1.41009,
        1.3017,
        1.27792,
        1.38236,
        1.36415,
        1.41045,
        1.33394,
        1.40298,
        1.44518,
        1.49788,
        1.3762,
        1.34028,
        1.37708,
        1.41751,
        1.44194,
        1.46736,
        1.36921,
        1.40534,
        1.42258,
        1.47937,
        1.42107,
        1.42587,
        1.47992,
        1.46931,
        1.58552,
        1.46169,
        1.42801,
        1.50425,
        1.45544,
        1.49325,
        1.42445,
        1.46869,
        1.50147,
        1.54429,
        1.54053,
        1.49825,
        1.50747,
        1.5354,
        1.49461,
        1.61,
        1.5697,
        1.48857,
        1.49348,
        1.56104,
        1.58695,
        1.63387,
        1.57821,
        1.53642,
        1.52023,
        1.49335,
        1.54533,
        1.53647,
        1.45797,
        1.51226,
        1.57271,
        1.64201,
        1.61762,
        1.61731,
        1.55882,
        1.58841,
        1.62748,
        1.58007,
        1.45785,
        1.47001,
        1.48001,
        1.6146,
        1.55058,
        1.56965,
        1.46089,
        1.48769,
        1.50132,
        1.53915,
        1.56906,
        1.59898,
        1.51728,
        1.48073,
        1.58664,
        1.56649,
        1.61645,
        1.64538,
        1.51643,
        1.52235,
        1.68768,
        1.62835,
        1.52049,
        1.62857,
        1.63107,
        1.66642,
        1.56333,
        1.50476,
        1.50648,
        1.56705,
        1.61803,
        1.55732,
        1.60226,
        1.68085,
        1.61957,
        1.6778,
        1.66038,
        1.57106,
        1.57136,
        1.65037,
        1.59941,
        1.45796,
        1.50495,
        1.56229,
        1.56812,
        1.50452,
        1.58185,
        1.64084,
        1.59995,
        1.51642,
        1.547,
        1.65643,
        1.62321,
        1.70117,
        1.6591,
        1.52391,
        1.48871,
        1.4602,
        1.5203,
        1.4849,
        1.41094,
        1.53347,
        1.62967,
        1.61077,
        1.63239,
        1.66479,
        1.68786,
        1.57839,
        1.63526,
        1.69559,
        1.6462,
        1.49466,
        1.39705,
        1.82661,
        2.11013,
        1.60489,
        1.5219,
        1.53728,
        1.55922,
        1.60488,
        1.63749,
        1.51027,
        1.48414,
        1.59055,
        1.55111,
        1.5346,
        1.55014,
        1.58303,
        1.47324,
        1.51128,
        1.51776,
        1.4579,
        1.56132,
        1.62794,
        1.56032,
        1.44203,
        1.58483,
        1.49233,
        1.55766,
        1.54394,
        1.57269,
        1.59631,
        1.55146,
        1.47702,
        1.45337,
        1.49363,
        1.51757,
        1.51293,
        1.51512,
        1.4477,
        1.51277,
        1.61943,
        1.49465,
        1.43124,
        1.4976,
        1.55771,
        1.6021,
        1.4673,
        1.56304,
        1.50607,
        1.535,
        1.57637,
        1.5609,
        1.60358,
        1.47688,
        1.46244,
        1.6011,
        1.59651,
        1.58994,
        1.59683,
        1.48413,
        1.5061,
        1.57001,
        1.47391,
        1.53712,
        1.63012,
        1.61751,
        1.58259,
        1.70423,
        1.63344,
        1.69987,
        1.62602,
        1.76448,
        1.68265,
        1.69194,
        1.55398,
        1.60131,
        1.58407,
        1.68013,
        1.65385,
        1.64589,
        1.72526,
        1.63148,
        1.63914,
        1.66317,
        1.68224,
        1.6729,
        1.60872,
        1.6042,
        1.71411,
        1.64195,
        1.55171,
        1.55992,
        1.56593,
        1.60731,
        1.69158,
        1.5983,
        1.61746,
        1.65382,
        1.66677,
        1.6616,
        1.7365,
        1.65565,
        1.60329,
        1.68107,
        1.56967,
        1.55876,
        1.51369,
        1.63473,
        1.63208,
        1.62632,
        1.50074,
        1.6427,
        1.71848,
        1.61122,
        1.58326,
        1.59741,
        1.55663,
        null,
        1.91267,
        2.15001,
        2.08355,
        2.35373,
        2.20455,
        2.16268,
        2.21671,
        2.33433,
        2.22085,
        2.07036,
        2.09412,
        2.16548,
        2.05643,
        2.17584,
        2.06259,
        1.84598,
        1.89547,
        2.17721,
        1.8181,
        1.96328,
        1.94055,
        2.1242,
        1.86846,
        1.79086,
        2.21361,
        2.06017,
        1.90161,
        1.7512,
        1.97819,
        1.93721,
        2.0195,
        2.13598,
        1.80637,
        1.7353,
        1.98826,
        2.02865,
        1.79249,
        1.81737,
        1.88414,
        2.18566,
        1.88864,
        2.03055,
        1.80039,
        2.36464,
        2.05504,
        2.17693,
        1.9628,
        1.95037,
        1.78955,
        2.04623,
        1.90433,
        2.03869,
        1.99233,
        1.8587,
        2.05484,
        2.15446,
        2.02057,
        2.17137,
        2.06447,
        2.10287,
        2.2488,
        2.4253,
        null,
        2.26595,
        2.56232,
        2.35594,
        2.46784,
        2.21767,
        2.04345,
        2.38658,
        2.22204,
        2.09917,
        2.09603,
        2.33233,
        1.96745,
        1.92146,
        1.97211,
        1.97185,
        2.24869,
        2.02189,
        2.08561,
        2.21393,
        1.95318,
        1.95234,
        1.89746,
        1.91223,
        1.91862,
        1.99958,
        1.92596,
        1.86899,
        1.83313,
        1.703,
        1.94367,
        1.83327,
        1.92766,
        2.18254,
        2.0926,
        2.03603,
        1.90521,
        2.07578,
        1.67059,
        1.99335,
        1.74813,
        1.95816,
        2.10312,
        1.89508,
        1.95375,
        1.94954,
        2.04973,
        1.61854,
        1.56565,
        1.9775,
        1.81949,
        1.86914,
        1.72865,
        1.98381,
        1.95987,
        2.14481,
        2.09611,
        1.79856,
        1.80694,
        1.82661,
        1.78268,
        2.07198,
        1.86005,
        2.08158,
        2.08917,
        2.06961,
        2.1797,
        2.15205,
        2.30426,
        2.14104,
        1.81275,
        1.9728,
        2.33441,
        2.33353,
        1.92252,
        1.84957,
        2.10465,
        2.04414,
        2.07317,
        2.11959,
        2.09775,
        2.10247,
        1.96643,
        2.04182,
        2.06511,
        2.01202,
        1.90665,
        2.1935,
        2.04698,
        1.87461,
        2.05893,
        2.02766,
        2.15573,
        2.08752,
        2.03185,
        1.95842,
        1.99527,
        1.99555,
        2.07706,
        2.08879,
        2.15022,
        2.04057,
        2.20897,
        2.03942,
        2.01364,
        1.97139,
        1.97222,
        2.05919,
        2.16122,
        2.03581,
        1.8447,
        1.8903,
        1.87692,
        2.14653,
        2.06891,
        1.91704,
        1.93181,
        2.01994,
        2.15951,
        1.96289,
        1.95076,
        2.16992,
        2.24499,
        2.21258,
        2.00521,
        2.2137,
        2.05728,
        2.18506,
        2.25505,
        2.17247,
        2.17884,
        1.96768,
        2.05374,
        1.82692,
        1.8188,
        1.91485,
        2.02758,
        2.09846,
        2.17392,
        2.12037,
        2.0988,
        2.6346,
        2.46345,
        2.2841,
        2.00616,
        2.14096,
        2.17417,
        1.92997,
        2.07998,
        2.07028,
        1.9563,
        1.84466,
        1.94626,
        2.07328,
        1.83336,
        2.04226,
        2.1354,
        2.0273,
        2.04225,
        2.04654,
        1.8708,
        1.91129,
        1.87434,
        1.71652,
        1.76539,
        1.71081,
        1.98877,
        2.06228,
        1.8288,
        1.94515,
        1.87375,
        1.97922,
        1.92495,
        1.86098,
        2.02411,
        2.17392,
        2.07005,
        1.91836,
        1.89795,
        2.08947,
        2.06626,
        1.98768,
        2.00928,
        1.95696,
        1.97381,
        2.01616,
        2.02048,
        2.09539,
        1.96118,
        2.03866,
        1.88217,
        1.89603,
        2.12253,
        2.09645,
        1.80109,
        2.00026,
        1.83425,
        2.07481,
        2.269,
        2.17657,
        2.45768,
        1.98661,
        2.10445,
        1.99233,
        1.93312,
        1.87079,
        1.78611,
        1.7188,
        1.67854,
        1.82309,
        1.84709,
        1.8197,
        1.89591,
        1.92775,
        1.74419,
        1.83789,
        1.93144,
        1.89808,
        1.92632,
        1.70388,
        1.77274,
        1.73963,
        1.79948,
        1.82818,
        1.78862,
        1.98216,
        1.77176,
        1.89928,
        1.87209,
        1.6658,
        1.70268,
        1.91831,
        1.88508,
        1.83222,
        1.76557,
        1.77529,
        1.87535,
        1.77967,
        1.87894,
        1.65606,
        1.87459,
        1.77447,
        1.60606,
        1.6804,
        1.7459,
        1.83901,
        1.8735,
        1.7669,
        1.7993,
        1.82864,
        1.80601,
        1.7474,
        1.89534,
        2.00953,
        1.75106,
        1.74705,
        1.67001,
        1.80958,
        1.69964,
        1.87752,
        1.85215,
        1.83063,
        1.75856,
        1.76136,
        1.87505,
        1.83314,
        1.81712,
        1.81917,
        1.77384,
        1.76649,
        1.77739,
        1.6304,
        1.72891,
        1.85915,
        1.77641,
        1.83445,
        1.88541,
        1.9998,
        1.86152,
        1.89712,
        1.73385,
        1.90509,
        1.98542,
        1.94446,
        1.83496,
        1.90405,
        1.69366,
        1.69763,
        1.76684,
        1.86206,
        1.91464,
        1.94276,
        1.86258,
        1.92326,
        1.75776,
        1.76936,
        1.92775,
        1.91161,
        1.85052,
        1.84126,
        1.63003,
        1.93731,
        1.99305,
        1.82238,
        1.81074,
        1.76969,
        1.86235,
        1.94974,
        1.92033,
        1.94689,
        1.82182,
        1.86426,
        2.01891,
        2.0461,
        2.00956,
        1.89354,
        1.87868,
        1.99463,
        1.90023,
        1.76312,
        1.96342,
        2.08971,
        2.08344,
        2.01827,
        1.86636,
        2.05014,
        2.11152,
        1.86241,
        1.92217,
        1.87857,
        1.90556,
        1.9547,
        1.8819,
        1.835,
        2.01805,
        1.96323,
        1.96872,
        1.89328,
        1.91183,
        1.91108,
        2.03751,
        1.85942,
        1.95228,
        1.74575,
        1.89339,
        1.74004,
        1.97073,
        1.96782,
        1.96505,
        1.92208,
        1.90849,
        1.94556,
        1.98531,
        1.99888,
        1.89233,
        1.9356,
        1.97278,
        1.65684,
        1.86184,
        2.04464,
        1.95766,
        1.80388,
        1.91518,
        2.07367,
        1.92567,
        1.9777,
        2.16366,
        2.33488,
        2.1794,
        1.77998,
        2.01166,
        1.87699,
        1.8182,
        1.74346,
        1.64086,
        1.60669,
        1.80115,
        1.88992,
        1.91207,
        1.90917,
        1.69146,
        1.94234,
        1.83419,
        1.91576,
        1.82233,
        1.91714,
        1.66978,
        1.70259,
        1.84223,
        1.8835,
        1.86612,
        1.82761,
        1.71077,
        1.83665,
        1.79385,
        1.89513,
        1.83092,
        1.80112,
        1.87217,
        1.75,
        1.79524,
        1.87478,
        2.04532,
        1.91378,
        1.85229,
        1.73102,
        1.64438,
        1.87683,
        1.74653,
        1.66452,
        1.86301,
        1.8369,
        2.03182,
        2.04862,
        1.60449,
        1.85907,
        1.85708,
        1.69954,
        1.66349,
        1.82287,
        2.00612,
        1.98612,
        1.74505,
        1.86599,
        1.97222,
        1.86469,
        1.87788,
        1.68137,
        1.64268,
        1.88308,
        1.90317,
        1.75773,
        1.86041,
        1.76037,
        1.88746,
        1.57401,
        1.63819,
        1.76239,
        1.78453,
        2.08025,
        2.00975,
        1.9225,
        2.05231,
        1.8415,
        1.92357,
        1.80979,
        1.70179,
        1.75546,
        1.7216,
        1.70082,
        1.76161,
        1.93809,
        1.65913,
        1.7382,
        1.9011,
        1.4869,
        1.58664,
        1.8958,
        1.75805,
        1.98664,
        2.06833,
        1.89748,
        1.84023,
        2.1719,
        2.03044,
        1.70498,
        1.96777,
        2.0884,
        2.24444,
        2.0196,
        1.97898,
        2.24617,
        1.84017,
        1.57027,
        1.74881,
        2.02076,
        1.82401,
        1.97445,
        1.9755,
        1.62223,
        1.67573,
        1.90115,
        2.08411,
        1.96809,
        1.8086,
        1.87291,
        2.12481,
        1.81702,
        1.53124,
        1.76968,
        1.95479,
        1.98943,
        1.79,
        1.68535,
        1.71068,
        1.73869,
        2.02993,
        2.13399,
        1.9392,
        1.94075,
        1.95167,
        1.88386,
        2.05141,
        2.17935,
        2.00967,
        2.05143,
        1.90428,
        2.11378,
        1.99054,
        2.32908,
        2.08939,
        2.23009,
        2.23914,
        2.00284,
        2.39794,
        2.63489
    ],
    "flux_error": [
        0.169827,
        0.151211,
        0.137211,
        0.127407,
        0.127251,
        0.117198,
        0.104967,
        0.100359,
        0.0960422,
        0.0930417,
        0.0899461,
        0.0869743,
        0.0845577,
        0.082775,
        0.0819855,
        0.0809954,
        0.080015,
        0.0798695,
        0.0795768,
        0.0783961,
        0.0783174,
        0.0793653,
        0.0807095,
        0.0818447,
        0.0843666,
        0.0887827,
        0.0937615,
        0.0996158,
        0.109141,
        0.123866,
        0.142037,
        0.169318,
        0.21346,
        0.187822,
        0.15681,
        0.140556,
        0.134003,
        0.129912,
        0.129043,
        0.130631,
        0.133504,
        0.137536,
        0.137117,
        0.138652,
        0.143021,
        0.147466,
        0.158692,
        0.174166,
        0.19299,
        0.188332,
        0.164438,
        0.148098,
        0.133105,
        0.123174,
        0.131041,
        0.124759,
        0.106119,
        0.103054,
        0.102207,
        0.103334,
        0.104691,
        0.104685,
        0.101728,
        0.0963252,
        0.0925002,
        0.0914523,
        0.0929959,
        0.0966838,
        0.102494,
        0.109804,
        0.121141,
        0.138332,
        0.163486,
        0.188566,
        0.182936,
        0.161084,
        0.137348,
        0.115459,
        0.102182,
        0.094255,
        0.0886915,
        0.0847256,
        0.0828714,
        0.0819918,
        0.081337,
        0.0821682,
        0.0848398,
        0.0885618,
        0.0922017,
        0.09885,
        0.109184,
        0.123813,
        0.138166,
        0.144009,
        0.139776,
        0.134033,
        0.131314,
        0.131475,
        0.134687,
        0.138924,
        0.148032,
        0.161655,
        0.173812,
        0.188561,
        0.211785,
        0.245264,
        0.26978,
        0.219398,
        0.192086,
        0.169622,
        0.153235,
        0.140083,
        0.13051,
        0.12368,
        0.119806,
        0.117777,
        0.116868,
        0.11864,
        0.124505,
        0.132906,
        0.146962,
        0.159053,
        0.158475,
        0.143675,
        0.124496,
        0.107087,
        0.0960597,
        0.0877022,
        0.0817658,
        0.0777371,
        0.0742659,
        0.0723836,
        0.0735869,
        0.0725483,
        0.0690892,
        0.0676894,
        0.0662292,
        0.0650801,
        0.0637148,
        0.0629359,
        0.0626932,
        0.0623263,
        0.0621711,
        0.0652123,
        0.0644797,
        0.063229,
        0.0641411,
        0.0646105,
        0.0659271,
        0.0680526,
        0.0704464,
        0.0736799,
        0.0817505,
        0.0858303,
        0.0854753,
        0.0924364,
        0.101934,
        0.115732,
        0.132366,
        0.153637,
        0.181205,
        0.211096,
        0.185946,
        0.166067,
        0.144635,
        0.12721,
        0.11394,
        0.102599,
        0.0943665,
        0.0876276,
        0.0823664,
        0.0789683,
        0.0755034,
        0.0725911,
        0.0710863,
        0.0696724,
        0.068693,
        0.067612,
        0.065376,
        0.063418,
        0.0666757,
        0.0654234,
        0.0587424,
        0.0578715,
        0.0571657,
        0.0564254,
        0.0561528,
        0.0556424,
        0.0553313,
        0.0549785,
        0.054721,
        0.0548074,
        0.0551146,
        0.0558257,
        0.0567576,
        0.0575856,
        0.0585426,
        0.0603005,
        0.0625388,
        0.0664137,
        0.070835,
        0.0756538,
        0.0806641,
        0.0829429,
        0.0821908,
        0.0816897,
        0.0818551,
        0.0815089,
        0.0819258,
        0.0847913,
        0.0873962,
        0.0903693,
        0.0942841,
        0.100616,
        0.112785,
        0.123147,
        0.131191,
        0.148561,
        0.171602,
        0.201212,
        0.17258,
        0.15046,
        0.134241,
        0.121163,
        0.10891,
        0.102424,
        0.0972981,
        0.0918859,
        0.0878109,
        0.0837103,
        0.0785621,
        0.074253,
        0.071685,
        0.07103,
        0.0686422,
        0.0648309,
        0.0642927,
        0.0647127,
        0.0658283,
        0.0674159,
        0.0698866,
        0.0743073,
        0.0776222,
        0.0773827,
        0.0736366,
        0.0689891,
        0.066022,
        0.0705487,
        0.0663186,
        0.0578682,
        0.0571665,
        0.0570207,
        0.0577471,
        0.0589484,
        0.0599648,
        0.061033,
        0.0612891,
        0.0610593,
        0.0607483,
        0.0601658,
        0.0606436,
        0.0611397,
        0.0617729,
        0.0623325,
        0.0630247,
        0.0640953,
        0.0656089,
        0.0677856,
        0.0705499,
        0.073652,
        0.0773463,
        0.0810533,
        0.084998,
        0.0891768,
        0.0926932,
        0.0974179,
        0.103185,
        0.109888,
        0.118719,
        0.129862,
        0.143899,
        0.16043,
        0.185002,
        0.223534,
        0.247898,
        0.211523,
        0.177436,
        0.151231,
        0.13323,
        0.118461,
        0.107594,
        0.0986817,
        0.0907387,
        0.0873678,
        0.0947467,
        0.0877832,
        0.0732398,
        0.0696728,
        0.0668296,
        0.0641648,
        0.062024,
        0.0609241,
        0.0592991,
        0.0575632,
        0.056885,
        0.0563431,
        0.0555916,
        0.0549527,
        0.0553948,
        0.0623354,
        0.0623669,
        0.0617478,
        0.0637483,
        0.0598137,
        0.0582524,
        0.0552563,
        0.0550179,
        0.0548517,
        0.054988,
        0.0553266,
        0.0559784,
        0.0573856,
        0.0596025,
        0.0601555,
        0.0608636,
        0.0623728,
        0.0643325,
        0.0673338,
        0.0686556,
        0.0703436,
        0.0730596,
        0.0762492,
        0.0796869,
        0.0820675,
        0.0831929,
        0.0853331,
        0.0880291,
        0.0944779,
        0.0972709,
        0.0965372,
        0.102666,
        0.108746,
        0.119111,
        0.131895,
        0.147746,
        0.170312,
        0.167859,
        0.151602,
        0.135876,
        0.122109,
        0.111679,
        0.102463,
        0.0949591,
        0.0882286,
        0.082108,
        0.0768711,
        0.0722462,
        0.0687911,
        0.0649888,
        0.0632117,
        0.0734318,
        0.068709,
        0.0552902,
        0.0537506,
        0.0526219,
        0.0517527,
        0.0502864,
        0.0491779,
        0.0481907,
        0.0475659,
        0.0469788,
        0.0465607,
        0.0462412,
        0.0460907,
        0.0467883,
        0.0465931,
        0.0455109,
        0.0455756,
        0.04584,
        0.0461174,
        0.0468489,
        0.0472044,
        0.0476226,
        0.0481848,
        0.0488772,
        0.0500226,
        0.0508798,
        0.0514189,
        0.051694,
        0.0517897,
        0.0523504,
        0.0533965,
        0.0548479,
        0.056586,
        0.0589434,
        0.0620969,
        0.0652921,
        0.0690308,
        0.0729248,
        0.0765088,
        0.0810589,
        0.0873767,
        0.0951424,
        0.106948,
        0.122597,
        0.149368,
        0.172076,
        0.174961,
        0.190091,
        0.175642,
        0.146848,
        0.129465,
        0.114988,
        0.103919,
        0.0958962,
        0.0883023,
        0.0828474,
        0.0786663,
        0.0744783,
        0.0696039,
        0.065958,
        0.0641253,
        0.0705553,
        0.0676489,
        0.0574601,
        0.0557232,
        0.054106,
        0.053114,
        0.0520998,
        0.0514663,
        0.0509494,
        0.0504576,
        0.0502527,
        0.0499378,
        0.0502779,
        0.0504383,
        0.0511393,
        0.0525479,
        0.0526729,
        0.0530872,
        0.0571447,
        0.0559867,
        0.0498549,
        0.0492872,
        0.0492903,
        0.0496532,
        0.050958,
        0.0525562,
        0.0565099,
        0.0575205,
        0.0580995,
        0.0587094,
        0.0595128,
        0.0613328,
        0.0642457,
        0.0686998,
        0.0758223,
        0.085413,
        0.097423,
        0.110644,
        0.11813,
        0.112539,
        0.101624,
        0.0931538,
        0.0877194,
        0.0846331,
        0.0825733,
        0.0830701,
        0.0852692,
        0.088087,
        0.0917249,
        0.0962797,
        0.102668,
        0.111731,
        0.122581,
        0.134254,
        0.148011,
        0.170623,
        0.200378,
        0.213104,
        0.16169,
        0.142075,
        0.128975,
        0.118741,
        0.111446,
        0.104655,
        0.0990548,
        0.0949723,
        0.0982403,
        0.0961963,
        0.0963275,
        0.101929,
        0.113139,
        0.129077,
        0.144886,
        0.149015,
        0.139675,
        0.132015,
        0.108911,
        0.0876958,
        0.0774713,
        0.0712598,
        0.0785283,
        0.0748753,
        0.0628657,
        0.0624056,
        0.0624886,
        0.0626359,
        0.0627454,
        0.063081,
        0.0642483,
        0.0657021,
        0.0679013,
        0.0706841,
        0.0764497,
        0.0859373,
        0.109091,
        0.12299,
        0.133441,
        0.148001,
        0.146156,
        0.132991,
        0.11161,
        0.0923379,
        0.0813802,
        0.0729456,
        0.067497,
        0.0659092,
        0.0633679,
        0.0588409,
        0.0578462,
        0.0574991,
        0.05758,
        0.0582315,
        0.0591925,
        0.0599984,
        0.0612723,
        0.0630622,
        0.0659411,
        0.0696719,
        0.0740077,
        0.084983,
        0.0876863,
        0.0873276,
        0.0919392,
        0.0987046,
        0.106724,
        0.1175,
        0.132415,
        0.147411,
        0.168618,
        0.199483,
        0.17313,
        0.146338,
        0.128068,
        0.11405,
        0.101901,
        0.100373,
        0.0924594,
        0.0809112,
        0.0852117,
        0.0800446,
        0.0683047,
        0.0669823,
        0.0655756,
        0.0641818,
        0.0638443,
        0.0629415,
        0.061981,
        0.0612995,
        0.061359,
        0.0623143,
        0.0633343,
        0.0658857,
        0.0684451,
        0.0728762,
        0.07947,
        0.0905444,
        0.107659,
        0.133885,
        0.16634,
        0.167684,
        0.110864,
        0.0859251,
        0.0724053,
        0.0641465,
        0.0600317,
        0.0651553,
        0.0639339,
        0.0556407,
        0.0551829,
        0.0549124,
        0.055004,
        0.0560052,
        0.0569536,
        0.0574769,
        0.0578774,
        0.057562,
        0.0568931,
        0.0565986,
        0.0574443,
        0.0584898,
        0.0600329,
        0.0610279,
        0.0636024,
        0.0666332,
        0.0696269,
        0.0732676,
        0.0775143,
        0.0850835,
        0.0894144,
        0.0915358,
        0.0977014,
        0.107822,
        0.119481,
        0.135689,
        0.171685,
        0.191476,
        0.236762,
        0.217383,
        0.188747,
        0.187463,
        0.155965,
        0.126857,
        0.115878,
        0.106886,
        0.0992379,
        0.0943529,
        0.090117,
        0.0873651,
        0.0865719,
        0.0882942,
        0.0917324,
        0.0982931,
        0.107472,
        0.121177,
        0.14013,
        0.169261,
        0.158493,
        0.11946,
        0.096834,
        0.0825747,
        0.0725848,
        0.0647237,
        0.0593806,
        0.0553137,
        0.0523941,
        0.0503922,
        0.0483898,
        0.0471388,
        0.0461832,
        0.0456017,
        0.0451983,
        0.0454862,
        0.0455906,
        0.046226,
        0.0470577,
        0.0476832,
        0.0487672,
        0.0491508,
        0.0485566,
        0.0477652,
        0.0461038,
        0.0449,
        0.0442071,
        0.0448914,
        0.0445918,
        0.0436983,
        0.0436458,
        0.0441539,
        0.0444695,
        0.0475608,
        0.0486137,
        0.0475436,
        0.0488122,
        0.0503518,
        0.0523202,
        0.0543563,
        0.0563628,
        0.0593893,
        0.0617482,
        0.0637861,
        0.0666503,
        0.0699179,
        0.073587,
        0.0780417,
        0.0851133,
        0.090917,
        0.0976371,
        0.124925,
        0.142661,
        0.166551,
        0.204323,
        0.150228,
        0.121735,
        0.103352,
        0.0914327,
        0.0814774,
        0.0799549,
        0.0708323,
        0.0629077,
        0.0588065,
        0.0551799,
        0.0525714,
        0.0512698,
        0.0500176,
        0.0498556,
        0.0485271,
        0.046743,
        0.0458813,
        0.0454357,
        0.0453194,
        0.0455026,
        0.0461224,
        0.046508,
        0.0471382,
        0.0461467,
        0.0460706,
        0.0473821,
        0.0482243,
        0.0490414,
        0.0515228,
        0.0557884,
        0.0627842,
        0.0730816,
        0.0884458,
        0.109602,
        0.133979,
        0.153678,
        0.14361,
        0.110555,
        0.0891849,
        0.075924,
        0.0681633,
        0.0624587,
        0.0660389,
        0.0634794,
        0.0618868,
        0.0614612,
        0.0516721,
        0.0517152,
        0.0516658,
        0.0518033,
        0.0531602,
        0.0584873,
        0.0576049,
        0.0576412,
        0.0614683,
        0.0637849,
        0.0651881,
        0.0684096,
        0.0729841,
        0.077588,
        0.0832108,
        0.0909035,
        0.100002,
        0.11366,
        0.130357,
        0.156409,
        0.176989,
        0.20845,
        0.243143,
        0.195488,
        0.157659,
        0.131349,
        0.111832,
        0.0977669,
        0.087299,
        0.0793226,
        0.0731354,
        0.0688736,
        0.0646686,
        0.060935,
        0.0581456,
        0.0560223,
        0.0537187,
        0.0520408,
        0.0508584,
        0.0501761,
        0.0497632,
        0.049734,
        0.049518,
        0.0490179,
        0.0484456,
        0.0470104,
        0.0453478,
        0.044319,
        0.0430217,
        0.0421369,
        0.0419513,
        0.0437304,
        0.0412467,
        0.0389815,
        0.0381305,
        0.0374699,
        0.0371127,
        0.0368498,
        0.0365068,
        0.0365567,
        0.0362834,
        0.0361642,
        0.0360901,
        0.0361388,
        0.0362802,
        0.0365005,
        0.0365921,
        0.0371488,
        0.0374955,
        0.0382058,
        0.0383612,
        0.0385866,
        0.0384365,
        0.0383375,
        0.0386153,
        0.0391729,
        0.0396209,
        0.0396562,
        0.0403059,
        0.0411483,
        0.0420281,
        0.0434942,
        0.0450981,
        0.0468629,
        0.0472873,
        0.0490833,
        0.0512365,
        0.0546234,
        0.0558245,
        0.0585642,
        0.061846,
        0.0651812,
        0.0697442,
        0.0746843,
        0.0806639,
        0.0889082,
        0.0990287,
        0.109433,
        0.12174,
        0.144488,
        0.171262,
        0.171835,
        0.145748,
        0.129889,
        0.11718,
        0.107524,
        0.100805,
        0.0929922,
        0.0848647,
        0.0797248,
        0.0754248,
        0.0707029,
        0.0729062,
        0.0703418,
        0.0622441,
        0.0590966,
        0.0572962,
        0.0599812,
        0.0538568,
        0.0486572,
        0.0472585,
        0.0457746,
        0.0445452,
        0.0446192,
        0.043687,
        0.0417682,
        0.0414253,
        0.0406478,
        0.0401233,
        0.0396698,
        0.0392845,
        0.0391234,
        0.0386003,
        0.0381739,
        0.0379344,
        0.0377067,
        0.0375865,
        0.0371608,
        0.0372584,
        0.0368966,
        0.0367445,
        0.0365775,
        0.0368428,
        0.0370311,
        0.0369128,
        0.036512,
        0.0366333,
        0.0366102,
        0.0369028,
        0.0374331,
        0.0376376,
        0.0425261,
        0.0427563,
        0.0383668,
        0.0388612,
        0.0397113,
        0.040574,
        0.0417739,
        0.0474927,
        0.0479129,
        0.0439461,
        0.0446913,
        0.0452623,
        0.0466914,
        0.0480339,
        0.0487313,
        0.0495921,
        0.0511248,
        0.0527023,
        0.0545334,
        0.0568211,
        0.0602839,
        0.0631576,
        0.0675386,
        0.0728987,
        0.0785614,
        0.0868406,
        0.0980332,
        0.109108,
        0.120963,
        0.136355,
        0.15754,
        0.188666,
        0.164239,
        0.145089,
        0.125515,
        0.112548,
        0.10246,
        0.0935472,
        0.0852195,
        0.0777199,
        0.0728297,
        0.0685123,
        0.0642512,
        0.0601734,
        0.0577015,
        0.0557438,
        0.0546648,
        0.0536667,
        0.0522058,
        0.0509528,
        0.0504966,
        0.0505621,
        0.0493313,
        0.0489011,
        0.0482571,
        0.0497412,
        0.050883,
        0.0505041,
        0.0529996,
        0.0558324,
        0.058084,
        0.061848,
        0.0684687,
        0.0781353,
        0.0906863,
        0.107446,
        0.127139,
        0.143453,
        0.142255,
        0.126197,
        0.106525,
        0.0892994,
        0.0755879,
        0.0663315,
        0.0602641,
        0.0554347,
        0.052426,
        0.0496474,
        0.0481887,
        0.0469738,
        0.0462975,
        0.0461753,
        0.0458144,
        0.0462152,
        0.0463815,
        0.0459417,
        0.0459874,
        0.0465339,
        0.0474156,
        0.0480272,
        0.0557631,
        0.054397,
        0.050755,
        0.0528728,
        0.0546502,
        0.0564327,
        0.0584589,
        0.0608063,
        0.0653886,
        0.0704424,
        0.0776196,
        0.0866026,
        0.0986987,
        0.11484,
        0.140129,
        0.179099,
        0.236389,
        0.193687,
        0.163547,
        0.142107,
        0.122831,
        0.108485,
        0.0971078,
        0.0888324,
        0.0826137,
        0.0763653,
        0.0711803,
        0.0682519,
        0.0657786,
        0.0623522,
        0.0596131,
        0.0575324,
        0.0549407,
        0.0539743,
        0.0523955,
        0.0511458,
        0.0493811,
        0.0475435,
        0.0464662,
        0.0451336,
        0.0445865,
        0.044071,
        0.0442083,
        0.0435464,
        0.0427326,
        0.0417855,
        0.0411938,
        0.0406183,
        0.0405184,
        0.0404875,
        0.0405199,
        0.0404656,
        0.0407428,
        0.0422325,
        0.0430052,
        0.0401955,
        0.0403991,
        0.0408901,
        0.0410902,
        0.0412005,
        0.0418204,
        0.0424781,
        0.0428332,
        0.0428117,
        0.043935,
        0.0447701,
        0.0476739,
        0.048456,
        0.0481312,
        0.0492791,
        0.0511665,
        0.0529291,
        0.054303,
        0.0545715,
        0.0566052,
        0.0583006,
        0.0610395,
        0.0643989,
        0.0688883,
        0.0757194,
        0.0848548,
        0.0994071,
        0.116983,
        0.146279,
        0.194873,
        0.194413,
        0.157502,
        0.138807,
        0.123057,
        0.11455,
        0.109752,
        0.108657,
        0.110917,
        0.112785,
        0.116787,
        0.122411,
        0.13242,
        0.146617,
        0.177783,
        0.212552,
        0.204883,
        0.145578,
        0.126707,
        0.120765,
        0.105189,
        0.0932736,
        0.0869111,
        0.0802418,
        0.0748946,
        0.070852,
        0.0671474,
        0.0633376,
        0.0601252,
        0.0586287,
        0.057479,
        0.0555477,
        0.054195,
        0.0523667,
        0.051308,
        0.0512688,
        0.0510456,
        0.0508531,
        0.0506309,
        0.0503129,
        0.0494794,
        0.0489851,
        0.0480333,
        0.0471131,
        0.0469653,
        0.0471572,
        0.0475897,
        0.0480329,
        0.0476787,
        0.047624,
        0.0467234,
        0.0461339,
        0.0450465,
        0.0449639,
        0.0450867,
        0.0452178,
        0.0453473,
        0.0457507,
        0.0465188,
        0.0479897,
        0.0496041,
        0.0508657,
        0.0522488,
        0.0547004,
        0.0580989,
        0.0617446,
        0.0672606,
        0.0739082,
        0.0834619,
        0.0970232,
        0.114734,
        0.142669,
        0.186274,
        0.134752,
        0.111846,
        0.0968982,
        0.086844,
        0.0781846,
        0.0736175,
        0.0699768,
        0.0682048,
        0.0665982,
        0.0649631,
        0.0645988,
        0.0643231,
        0.0653103,
        0.0660196,
        0.066822,
        0.0691392,
        0.0719985,
        0.0766381,
        0.0803317,
        0.0852449,
        0.0914835,
        0.0990131,
        0.110187,
        0.124555,
        0.141365,
        0.162185,
        0.233687,
        0.189917,
        0.160293,
        0.135202,
        0.118995,
        0.107494,
        0.0997732,
        0.0937212,
        0.087983,
        0.0824611,
        0.0793529,
        0.076294,
        0.073557,
        0.0697808,
        0.0657541,
        0.0620465,
        0.0599243,
        0.0601541,
        0.0556699,
        0.0540455,
        0.0522573,
        0.051372,
        0.0500624,
        0.0489038,
        0.0480756,
        0.0472272,
        0.0471012,
        0.046539,
        0.0466937,
        0.0465188,
        0.0469855,
        0.0471715,
        0.0476518,
        0.0479653,
        0.0491046,
        0.0504699,
        0.0511649,
        0.0529604,
        0.0552996,
        0.0581014,
        0.0614925,
        0.0654704,
        0.0711836,
        0.0795185,
        0.0919192,
        0.108438,
        0.130678,
        0.163653,
        0.220091,
        0.172539,
        0.139592,
        0.12026,
        0.109594,
        0.097968,
        0.080547,
        0.0731453,
        0.0680404,
        0.0653989,
        0.0627298,
        0.0606278,
        0.0594113,
        0.0591441,
        0.0577739,
        0.0560156,
        0.0569488,
        0.0569116,
        0.0561144,
        0.0559691,
        0.0567517,
        0.0571596,
        0.0572313,
        0.0582148,
        0.0606028,
        0.0630096,
        0.0653619,
        0.0676592,
        0.0697666,
        0.0722418,
        0.0744292,
        0.0768445,
        0.0799626,
        0.0852329,
        0.0892039,
        0.0944742,
        0.103461,
        0.114975,
        0.129876,
        0.148923,
        0.173461,
        0.206081,
        0.223853,
        0.18701,
        0.161394,
        0.143153,
        0.132782,
        0.113447,
        0.105497,
        0.0989878,
        0.0927194,
        0.0869166,
        0.0835602,
        0.081197,
        0.0791347,
        0.0786776,
        0.077925,
        0.0764393,
        0.0747027,
        0.0717681,
        0.0690308,
        0.0666491,
        0.0644905,
        0.0631967,
        0.0637895,
        0.0691657,
        0.0724955,
        0.0653558,
        0.0659569,
        0.0680063,
        0.0708428,
        0.0745411,
        0.0788302,
        0.0854447,
        0.0948637,
        0.109101,
        0.132844,
        0.166453,
        0.220258,
        0.322737,
        0.245334,
        0.183844,
        0.144602,
        0.120633,
        0.103328,
        0.0900808,
        0.0813398,
        0.0749652,
        0.0700603,
        0.0670192,
        0.0644366,
        0.0625682,
        0.0603692,
        0.0585293,
        0.0566731,
        0.0560767,
        0.055455,
        0.0546185,
        0.0539563,
        0.0537258,
        0.0534213,
        0.053134,
        0.0534321,
        0.0539504,
        0.055181,
        0.0555862,
        0.0558191,
        0.0576988,
        0.0595681,
        0.0602178,
        0.0606849,
        0.0608017,
        0.0607967,
        0.0599827,
        0.0604046,
        0.0615758,
        0.0621875,
        0.063008,
        0.0650871,
        0.0676633,
        0.0694255,
        0.0714903,
        0.0746943,
        0.0789416,
        0.0843965,
        0.0899603,
        null,
        0.107486,
        0.127681,
        0.160539,
        0.187779,
        0.15728,
        0.13845,
        0.126343,
        0.117494,
        0.115492,
        0.120379,
        0.131032,
        0.147902,
        0.172151,
        0.199342,
        0.242677,
        0.169536,
        0.123829,
        0.0970056,
        0.0801298,
        0.0686322,
        0.0610757,
        0.0553663,
        0.0506826,
        0.0470943,
        0.0443997,
        0.0424002,
        0.0406501,
        0.039394,
        0.0383771,
        0.0373393,
        0.0365746,
        0.0362597,
        0.036068,
        0.0362615,
        0.0367369,
        0.0375798,
        0.0388745,
        0.0399626,
        0.0403095,
        0.0397991,
        0.038564,
        0.036723,
        0.0352095,
        0.0342215,
        0.0335336,
        0.0331115,
        0.03275,
        0.0324694,
        0.0322655,
        0.0322998,
        0.0322697,
        0.0323302,
        0.0324529,
        0.0325293,
        0.0326817,
        0.0327377,
        0.0328358,
        0.0335894,
        0.0344767,
        0.0345043,
        0.0341875,
        0.0346089,
        0.0353549,
        0.0361758,
        0.0366459,
        0.0372181,
        0.0379759,
        0.0390464,
        0.0406457,
        0.0419089,
        0.0432195,
        0.045669,
        0.0487378,
        0.0525526,
        0.0579644,
        0.0625453,
        0.0658548,
        0.0694386,
        0.0729181,
        0.0780326,
        0.0853588,
        0.096305,
        0.113644,
        0.140669,
        0.179279,
        0.201422,
        0.145614,
        0.112454,
        0.0917296,
        0.0783488,
        0.068976,
        0.0627519,
        0.05809,
        0.0550704,
        0.0536702,
        0.0529515,
        0.0517928,
        0.0493432,
        0.0462949,
        0.0434153,
        0.041335,
        0.0399067,
        0.0385863,
        0.0373825,
        0.0367641,
        0.0366563,
        0.0369546,
        0.0370385,
        0.0371447,
        0.0371153,
        0.0367181,
        0.0364326,
        0.036696,
        0.0376404,
        0.0386443,
        0.0395713,
        0.0402396,
        0.0396008,
        0.0380611,
        0.0360055,
        0.0343508,
        0.0329025,
        0.0318029,
        0.0314441,
        0.0311632,
        0.0307947,
        0.0304628,
        0.0304425,
        0.0306324,
        0.0307699,
        0.0307047,
        0.0306651,
        0.0309131,
        0.031088,
        0.0311019,
        0.031581,
        0.0316912,
        0.0314558,
        0.0316693,
        0.0317809,
        0.0319833,
        0.0325142,
        0.0331614,
        0.0334889,
        0.0337623,
        0.0342783,
        0.0349679,
        0.0355672,
        0.0365378,
        0.0377921,
        0.0392234,
        0.0405633,
        0.0421998,
        0.0440928,
        0.0466242,
        0.0497685,
        0.0539781,
        0.0588368,
        0.0640549,
        0.0711537,
        0.0820616,
        0.097471,
        0.119188,
        0.151243,
        0.200693,
        0.156237,
        0.13071,
        0.115985,
        0.106277,
        0.0951205,
        0.0834251,
        0.0733823,
        0.0642292,
        0.0562478,
        0.0503363,
        0.0464539,
        0.0434283,
        0.040913,
        0.0388664,
        0.0371567,
        0.035865,
        0.0348748,
        0.0338546,
        0.0329542,
        0.0322636,
        0.0318797,
        0.0316595,
        0.0314668,
        0.0312452,
        0.0309292,
        0.030526,
        0.0298044,
        0.0291155,
        0.0285194,
        0.0279426,
        0.0274004,
        0.0270441,
        0.0270548,
        0.0299207,
        0.0290437,
        0.026739,
        0.026569,
        0.0263623,
        0.0263052,
        0.0261414,
        0.0259969,
        0.0259087,
        0.0257277,
        0.0255748,
        0.0253569,
        0.0253501,
        0.0253623,
        0.025299,
        0.0253358,
        0.0254219,
        0.0255969,
        0.0258338,
        0.0269083,
        0.0272132,
        0.0268054,
        0.0274673,
        0.0270562,
        0.0271514,
        0.0286482,
        0.0290131,
        0.0285115,
        0.0290065,
        0.0293189,
        0.0299044,
        0.0305065,
        0.0312207,
        0.031749,
        0.0322145,
        0.0328243,
        0.0334859,
        0.0341512,
        0.0349098,
        0.0358511,
        0.0369303,
        0.0381844,
        0.039997,
        0.0422606,
        0.0450648,
        0.0489547,
        0.0536649,
        0.05783,
        0.0608802,
        0.0631533,
        0.066492,
        0.0719601,
        0.0799731,
        0.091955,
        0.108033,
        0.131657,
        0.173743,
        0.166787,
        0.125827,
        0.10112,
        0.0846507,
        0.0721728,
        0.0632063,
        0.0571227,
        0.052595,
        0.0497119,
        0.0516527,
        0.0471149,
        0.0422687,
        0.0411108,
        0.0399272,
        0.0389537,
        0.0366325,
        0.0361465,
        0.0356058,
        0.0350907,
        0.0345304,
        0.0337026,
        0.0328125,
        0.0317787,
        0.0311252,
        0.0304018,
        0.029716,
        0.0290072,
        0.028343,
        0.0276543,
        0.0271366,
        0.0266888,
        0.026112,
        0.0258294,
        0.0257245,
        0.0254131,
        0.025143,
        0.0250404,
        0.0250445,
        0.0250143,
        0.0249524,
        0.0252729,
        0.0253966,
        0.0253201,
        0.0255925,
        0.0261203,
        0.0269205,
        0.0279835,
        0.0293073,
        0.0304797,
        0.0309329,
        0.0302074,
        0.0289688,
        0.0277834,
        0.0269469,
        0.0265692,
        0.026268,
        0.0260795,
        0.0258584,
        0.0257672,
        0.0259334,
        0.0261205,
        0.0262771,
        0.0264634,
        0.0266476,
        0.0270174,
        0.0275292,
        0.0296611,
        0.030419,
        0.0288445,
        0.0291584,
        0.0304256,
        0.0304213,
        0.0310593,
        0.0350932,
        0.0360367,
        0.0339872,
        0.0353949,
        0.0374856,
        0.0398338,
        0.0423426,
        0.0463305,
        0.0567624,
        0.0635403,
        0.0642609,
        0.0726301,
        0.0818825,
        0.0942748,
        0.114332,
        0.146801,
        0.148459,
        0.115632,
        0.0950581,
        0.0814148,
        0.0710752,
        0.0635845,
        0.0586378,
        0.055353,
        0.0531701,
        0.0520061,
        0.0515726,
        0.0523945,
        0.0530155,
        0.0529181,
        0.054622,
        0.0523934,
        0.0471133,
        0.0471625,
        0.04829,
        0.0506054,
        0.0549895,
        0.0615033,
        0.0722432,
        0.091417,
        0.12459,
        0.189906,
        0.160911,
        0.105047,
        0.0793054,
        0.0631464,
        0.0528994,
        0.0458736,
        0.0408319,
        0.0374758,
        0.035107,
        0.0330141,
        0.0315646,
        0.0303358,
        0.0293336,
        0.0286621,
        0.0281508,
        0.0277179,
        0.0279121,
        0.027422,
        0.0269331,
        0.0267029,
        0.0263789,
        0.0262292,
        0.0260824,
        0.0259837,
        0.0274907,
        0.0275814,
        0.0263764,
        0.0266562,
        0.0271803,
        0.0276986,
        0.0286059,
        0.0295102,
        0.0305976,
        0.0324162,
        0.034403,
        0.0359466,
        0.0367875,
        0.0371408,
        0.0358143,
        0.0350447,
        0.0355969,
        0.0366744,
        0.0384948,
        0.0408045,
        0.044442,
        0.0495014,
        0.0562078,
        0.0653699,
        0.0804808,
        0.104044,
        0.135657,
        0.164721,
        0.180801,
        0.18927,
        0.195812,
        0.191934,
        0.173425,
        0.14687,
        0.124522,
        0.10798,
        0.0987405,
        0.0943151,
        0.0879163,
        0.0791743,
        0.0767377,
        0.0763969,
        0.0806429,
        0.0886843,
        0.101125,
        0.118304,
        0.151153,
        0.209838,
        0.192168,
        0.136601,
        0.103596,
        0.0827473,
        0.0694748,
        0.060126,
        0.052743,
        0.0473363,
        0.0429282,
        0.0396864,
        0.0372051,
        0.0352073,
        0.033594,
        0.0323312,
        0.0313381,
        0.0304843,
        0.0296098,
        0.0287664,
        0.0282033,
        0.0276955,
        0.0271775,
        0.0266863,
        0.0262446,
        0.0258633,
        0.0256085,
        0.0252644,
        0.0251857,
        0.0250824,
        0.0249229,
        0.024929,
        0.0249614,
        0.0248725,
        0.0246484,
        0.024574,
        0.0242985,
        0.0238798,
        0.0235353,
        0.0234514,
        0.0264967,
        0.0263085,
        0.0231217,
        0.023216,
        0.0233979,
        0.0240356,
        0.0243359,
        0.0246949,
        0.0255347,
        0.0267569,
        0.0303583,
        0.0318339,
        0.0303362,
        0.0312395,
        0.0386632,
        0.037248,
        0.0298788,
        0.0304701,
        0.031364,
        0.0324806,
        0.0326782,
        0.0317834,
        0.0307671,
        0.0299419,
        0.0296206,
        0.0299353,
        0.0313063,
        0.0327926,
        0.0339694,
        0.0414947,
        0.0444533,
        0.042397,
        0.0482442,
        0.0564739,
        0.0694487,
        0.0876288,
        0.109634,
        0.13088,
        0.143537,
        0.146642,
        0.146016,
        0.142237,
        0.130741,
        0.107461,
        0.0844707,
        0.0682836,
        0.0573914,
        0.0497683,
        0.044494,
        0.0412434,
        0.0388451,
        0.0369934,
        0.0358897,
        0.0352521,
        0.0351605,
        0.0353867,
        0.0360649,
        0.0364439,
        0.0376514,
        0.0393531,
        0.0414228,
        0.0444322,
        0.0489809,
        0.0545768,
        0.0623222,
        0.0732376,
        0.0900869,
        0.115481,
        0.161634,
        0.140209,
        0.10295,
        0.0805178,
        0.0668564,
        0.0575684,
        0.0510964,
        0.0460976,
        0.042427,
        0.0396549,
        0.0379712,
        0.0398968,
        0.0370674,
        0.0334194,
        0.0322748,
        0.0313369,
        0.0309418,
        0.0330331,
        0.0339942,
        0.0316117,
        0.0326235,
        0.0335243,
        0.0334208,
        0.0326305,
        0.0346232,
        0.0327427,
        0.0282584,
        0.0277632,
        0.028064,
        0.0283571,
        0.0288866,
        0.0314111,
        0.0310186,
        0.0298537,
        0.0282666,
        0.0273749,
        0.028291,
        0.0268792,
        0.0240824,
        0.023904,
        0.0238107,
        0.0235669,
        0.0235555,
        0.0258014,
        0.0262686,
        0.0239328,
        0.024132,
        0.0244738,
        0.0248664,
        0.0251888,
        0.0265063,
        0.0270539,
        0.0266139,
        0.0274414,
        0.031004,
        0.0313404,
        0.0297155,
        0.0352662,
        0.0371118,
        0.0354805,
        0.0387231,
        0.0430113,
        0.048535,
        0.0565703,
        0.0683616,
        0.0848048,
        0.102265,
        0.116992,
        0.12186,
        0.118165,
        0.116361,
        0.11372,
        0.103202,
        0.0861419,
        0.0699703,
        0.0573231,
        0.0487578,
        0.0428785,
        0.0389746,
        0.0360141,
        0.0337863,
        0.0320947,
        0.0309269,
        0.0302732,
        0.0296917,
        0.0291365,
        0.0287911,
        0.0286473,
        0.0285105,
        0.0284295,
        0.0284755,
        0.0287496,
        0.0293479,
        0.0299761,
        0.0306793,
        0.0317676,
        0.0331382,
        0.0342806,
        0.0358538,
        0.0384158,
        0.0417386,
        0.0457726,
        0.0513657,
        0.0582309,
        0.0653859,
        0.0739428,
        0.0851036,
        0.10116,
        0.127388,
        0.173404,
        0.14604,
        0.111191,
        0.0893312,
        0.0750527,
        0.0673226,
        0.0630867,
        0.061422,
        0.0650671,
        0.0723163,
        0.0847805,
        0.0973833,
        0.123561,
        0.175934,
        0.230088,
        0.156146,
        0.108299,
        0.0802121,
        0.0628167,
        0.0518831,
        0.0453265,
        0.0412799,
        0.0386849,
        0.0369868,
        0.0355969,
        0.0346288,
        0.0348801,
        0.0392179,
        0.0429606,
        0.0382843,
        0.0365638,
        0.037927,
        0.0402319,
        0.0435396,
        0.048375,
        0.0549739,
        0.0644442,
        0.0784568,
        0.102099,
        0.15238,
        0.17173,
        0.14468,
        0.119702,
        0.0956365,
        0.0933995,
        0.096933,
        0.106993,
        0.117657,
        0.129621,
        0.128934,
        0.124101,
        0.120587,
        0.118657,
        0.114517,
        0.104408,
        0.0899833,
        0.0751498,
        0.064636,
        0.0576157,
        0.0523706,
        0.0470201,
        0.0421935,
        0.0383197,
        0.0353194,
        0.0332042,
        0.0316943,
        0.030748,
        0.0299689,
        0.0291321,
        0.0289471,
        0.0366803,
        0.0335319,
        0.0269106,
        0.0267713,
        0.0266584,
        0.0272792,
        0.0273196,
        0.0268964,
        0.0268377,
        0.0271887,
        0.0275748,
        0.0282268,
        0.0283867,
        0.0282864,
        0.0327178,
        0.032475,
        0.0278701,
        0.0282543,
        0.0287668,
        0.0293551,
        0.0302113,
        0.0359747,
        0.0372348,
        0.0342696,
        0.0365168,
        0.0393581,
        0.0431196,
        0.0487239,
        0.0606351,
        0.0725452,
        0.0800442,
        0.105559,
        0.15066,
        0.230074,
        0.190463,
        0.132732,
        0.0979077,
        0.0861169,
        0.076766,
        0.0539951,
        0.0467913,
        0.0421138,
        0.0384976,
        0.0357979,
        0.0338424,
        0.0324955,
        0.0378751,
        0.0365474,
        0.0313535,
        0.0297085,
        0.0297319,
        0.0335843,
        0.0334576,
        0.029068,
        0.0328145,
        0.0318714,
        0.0276443,
        0.027078,
        0.0271747,
        0.0267622,
        0.0261433,
        0.0261097,
        0.0263843,
        0.0269583,
        0.0278835,
        0.0287976,
        0.0296596,
        0.0305061,
        0.0321623,
        0.0305899,
        0.0284777,
        0.0288904,
        0.0286496,
        0.0284019,
        0.0292079,
        0.0304031,
        0.0326159,
        0.0351455,
        0.0385129,
        0.0440773,
        0.0516833,
        0.0624563,
        0.0860066,
        0.0974095,
        0.0852481,
        0.0842163,
        0.084202,
        0.086024,
        0.0917119,
        0.0859591,
        0.0722953,
        0.0587177,
        0.049729,
        0.0429945,
        0.0381996,
        0.0347647,
        0.0324027,
        0.0305046,
        0.0294054,
        0.0287652,
        0.0284202,
        0.0279815,
        0.0279957,
        0.02851,
        0.0291388,
        0.0298641,
        0.0311693,
        0.0327396,
        0.0354419,
        0.0377175,
        0.0398424,
        0.0417993,
        0.0426565,
        0.0429394,
        0.0420798,
        0.0404619,
        0.0392535,
        0.0384692,
        0.0378403,
        0.0364923,
        0.034694,
        0.0333975,
        0.0361991,
        0.0341746,
        0.0295174,
        0.0288511,
        0.0285826,
        0.0283627,
        0.0282352,
        0.0282735,
        0.0306344,
        0.0305583,
        0.0309413,
        0.0325096,
        0.0334339,
        0.0331916,
        0.0322752,
        0.0318436,
        0.03223,
        0.0331414,
        0.0346125,
        0.0365678,
        0.0394882,
        0.0429155,
        0.0480232,
        0.0546423,
        0.0644945,
        0.079767,
        0.105006,
        0.144766,
        0.216609,
        0.145553,
        0.104501,
        0.0812273,
        0.0666938,
        0.0614389,
        0.0523083,
        0.0437992,
        0.0410188,
        0.041516,
        0.0371254,
        0.0338185,
        0.0322351,
        0.0313074,
        0.0305255,
        0.0294909,
        0.0334603,
        0.0326759,
        0.0273929,
        0.0268668,
        0.0307871,
        0.0299939,
        0.0254954,
        0.0250648,
        0.0252928,
        0.0259449,
        0.0252708,
        0.0253421,
        0.0256104,
        0.026167,
        0.0268013,
        0.0278239,
        0.0293232,
        0.0310362,
        0.033354,
        0.037134,
        0.0417625,
        0.0478566,
        0.0596269,
        0.0692009,
        0.0721662,
        0.0750024,
        0.0736691,
        0.072452,
        0.0728299,
        0.0727299,
        0.0699692,
        0.063876,
        0.0550492,
        0.0471755,
        0.0437447,
        0.0382001,
        0.0369276,
        0.0338486,
        0.0288919,
        0.0272242,
        0.0257428,
        0.0278253,
        0.0257433,
        0.0236606,
        0.0232099,
        0.0224763,
        0.0222094,
        0.0217619,
        0.0216202,
        0.0213014,
        0.0212411,
        0.0212528,
        0.0212893,
        0.0213515,
        0.021424,
        0.0233676,
        0.0236395,
        0.021995,
        0.0222424,
        0.0232651,
        0.0237961,
        0.0256323,
        0.0267686,
        0.0261429,
        0.0275465,
        0.0294572,
        0.0310119,
        0.0319201,
        0.0323246,
        0.0304977,
        0.0284336,
        0.0265854,
        0.025194,
        0.0243825,
        0.0237142,
        0.0231376,
        0.0232341,
        0.0232168,
        0.0231708,
        0.0235036,
        0.022991,
        0.0231864,
        0.0259515,
        0.0250867,
        0.0245932,
        0.0258334,
        0.0267037,
        0.02739,
        0.028001,
        0.0284266,
        0.0286886,
        0.0291515,
        0.0299221,
        0.0314794,
        0.0330802,
        0.0350858,
        0.0382191,
        0.0424691,
        0.0484454,
        0.0578853,
        0.0713098,
        0.0918509,
        0.123769,
        0.179581,
        0.191088,
        0.131868,
        0.0968516,
        0.0745199,
        0.0605599,
        0.0514551,
        0.0453619,
        0.0407035,
        0.0374833,
        0.0350666,
        0.0333086,
        0.0317878,
        0.030586,
        0.0297526,
        0.0294828,
        0.0293577,
        0.0289626,
        0.0286141,
        0.0285741,
        0.0286847,
        0.0291598,
        0.0296337,
        0.0306265,
        0.0321822,
        0.0341461,
        0.0365271,
        0.0396627,
        0.0440009,
        0.0499951,
        0.0564089,
        0.0666188,
        0.0724566,
        0.0747299,
        0.0733535,
        0.0726095,
        0.0733138,
        0.0744242,
        0.0725421,
        0.0676873,
        0.0601459,
        0.0525464,
        0.0467775,
        0.042907,
        0.0405778,
        0.0393074,
        0.0387047,
        0.0395491,
        0.0408843,
        0.0426113,
        0.0445426,
        0.0461317,
        0.0478418,
        0.0511572,
        0.0570462,
        0.0658674,
        0.0807455,
        0.104917,
        0.147382,
        0.159136,
        0.110907,
        0.0833182,
        0.0656924,
        0.0549497,
        0.047811,
        0.0426118,
        0.0390903,
        0.0372216,
        0.0348926,
        0.0328384,
        0.0313005,
        0.0304451,
        0.0297413,
        0.0293302,
        0.0289707,
        0.0288257,
        0.0292712,
        0.0296555,
        0.0283084,
        0.0276803,
        0.0272578,
        0.0267176,
        0.0262223,
        0.0255922,
        0.0250698,
        0.0250089,
        0.0263513,
        0.0259888,
        0.0238095,
        0.0237194,
        0.0234769,
        0.0236184,
        0.0236598,
        0.0235074,
        0.0236585,
        0.0236154,
        0.0238674,
        0.0241298,
        0.0245852,
        0.0251017,
        0.0254612,
        0.0272328,
        0.0284295,
        0.0319802,
        0.0331924,
        0.0329889,
        0.035026,
        0.0391936,
        0.0438186,
        0.0448822,
        0.0474255,
        0.0552289,
        0.0660295,
        0.0821423,
        0.108485,
        0.153754,
        0.224306,
        0.165249,
        0.117486,
        0.0900368,
        0.0728748,
        0.0624233,
        0.05471,
        0.0493032,
        0.0468487,
        0.044748,
        0.0437549,
        0.0437406,
        0.0442515,
        0.0443573,
        0.0441615,
        0.0444449,
        0.045423,
        0.0472674,
        0.0497845,
        0.0533294,
        0.0632294,
        0.0690467,
        0.0675161,
        0.0673048,
        0.0652306,
        0.0638162,
        0.0642355,
        0.0652011,
        0.064147,
        0.0611128,
        0.0580981,
        0.0528722,
        0.0425172,
        0.0430804,
        0.0379867,
        0.0323988,
        0.0301036,
        0.028612,
        0.0273893,
        0.0267459,
        0.0262242,
        0.0266836,
        0.0265021,
        0.025927,
        0.0261463,
        0.0266618,
        0.0272407,
        0.0274473,
        0.0269754,
        0.026133,
        0.0287039,
        0.0278,
        0.0237872,
        0.0234077,
        0.023104,
        0.0233258,
        0.0235123,
        0.0233245,
        0.023272,
        0.023749,
        0.0238609,
        0.0263308,
        0.0260394,
        0.0245579,
        0.0246719,
        0.025028,
        0.0250925,
        0.0248063,
        0.0245394,
        0.0238845,
        0.0233936,
        0.0230073,
        0.0227344,
        0.0225413,
        0.0223445,
        0.0221591,
        0.0221347,
        0.0222677,
        0.0220003,
        0.0218892,
        0.0217746,
        0.0217995,
        0.0215055,
        0.0214305,
        0.0213765,
        0.0214833,
        0.0212254,
        0.0213548,
        0.0218247,
        0.0216744,
        0.0215785,
        0.0216798,
        0.0218753,
        0.0220615,
        0.0219393,
        0.0221507,
        0.0223366,
        0.0225503,
        0.0228152,
        0.0231304,
        0.023763,
        0.0263305,
        0.027198,
        0.0263022,
        0.0271572,
        0.0278572,
        0.0281012,
        0.0281459,
        0.0281714,
        0.0281225,
        0.02942,
        0.0294688,
        0.0287956,
        0.029524,
        0.0307317,
        0.0319897,
        0.0339912,
        0.0364111,
        0.0391074,
        0.0426031,
        0.04707,
        0.0529038,
        0.0613515,
        0.0736925,
        0.0921424,
        0.119521,
        0.164899,
        0.262406,
        0.187859,
        0.137434,
        0.108132,
        0.0889632,
        0.0787743,
        0.0730232,
        0.07101,
        0.0716721,
        0.0748237,
        0.0815472,
        0.0910238,
        0.0998492,
        0.105181,
        0.107306,
        0.111884,
        0.121337,
        0.137314,
        0.158511,
        0.183598,
        0.200546,
        0.181867,
        0.154372,
        0.129759,
        0.110619,
        0.0939801,
        0.0794818,
        0.0688708,
        0.0602573,
        0.0528261,
        0.0582674,
        0.0522903,
        0.038663,
        0.0365044,
        0.0347276,
        0.032924,
        0.032159,
        0.0310814,
        0.0338099,
        0.0319322,
        0.0296033,
        0.029651,
        0.0299174,
        0.0299524,
        0.0303198,
        0.0299705,
        0.029391,
        0.0284891,
        0.0278108,
        0.0273153,
        0.0268856,
        0.0258898,
        0.0253992,
        0.024973,
        0.024774,
        0.0244132,
        0.0242225,
        0.0241458,
        0.0253015,
        0.0252088,
        0.0239863,
        0.0242601,
        0.0243508,
        0.0246683,
        0.0251022,
        0.025783,
        0.0273682,
        0.0272177,
        0.027512,
        0.0269939,
        0.0264635,
        0.0257004,
        0.0248509,
        0.0241625,
        0.0237645,
        0.02451,
        0.0243501,
        0.0232994,
        0.0233343,
        0.0233767,
        0.0231186,
        0.0230185,
        0.0232256,
        0.023029,
        0.0230238,
        0.0231562,
        0.0230334,
        0.0232976,
        0.0231074,
        0.0230315,
        0.0231026,
        0.0231854,
        0.0231585,
        0.0233081,
        0.0232247,
        0.0231529,
        0.0232744,
        0.0234093,
        0.0236059,
        0.0240658,
        0.0243858,
        0.0246807,
        0.0248351,
        0.0251737,
        0.0250746,
        0.025347,
        0.0251843,
        0.0252687,
        0.0253694,
        0.0256303,
        0.0260965,
        0.0266227,
        0.0270849,
        0.0275066,
        0.0282193,
        0.0291726,
        0.0302573,
        0.0313365,
        0.0333967,
        0.0355096,
        0.037425,
        0.0406831,
        0.0448744,
        0.050675,
        0.0584295,
        0.0690056,
        0.0862896,
        0.112764,
        0.154231,
        0.140597,
        0.115692,
        0.101526,
        0.0941697,
        0.0911198,
        0.0887403,
        0.0836216,
        0.0760716,
        0.0676907,
        0.0572504,
        0.0493169,
        0.0442661,
        0.0404062,
        0.0374431,
        0.0357869,
        0.0344143,
        0.0336371,
        0.0331816,
        0.0323124,
        0.0320039,
        0.0315825,
        0.0314067,
        0.0309472,
        0.0305434,
        0.0301267,
        0.029716,
        0.0292827,
        0.028981,
        0.0287994,
        0.0289126,
        0.0287179,
        0.0278078,
        0.0270843,
        0.0266534,
        0.0265802,
        0.0264524,
        0.0262947,
        0.0265222,
        0.026438,
        0.0263092,
        0.0264259,
        0.0266957,
        0.0271402,
        0.0273068,
        0.0272619,
        0.0273177,
        0.0278817,
        0.028416,
        0.0287638,
        0.0291007,
        0.0297337,
        0.0303483,
        0.0315592,
        0.0323826,
        0.033287,
        0.0346342,
        0.0362756,
        0.0384898,
        0.0409553,
        0.0439188,
        0.0474879,
        0.0525282,
        0.0596839,
        0.0700513,
        0.0856279,
        0.107428,
        0.139035,
        0.194914,
        0.161974,
        0.118951,
        0.0917523,
        0.0758855,
        0.0649336,
        0.056822,
        0.0576025,
        0.0536241,
        0.0431102,
        0.0392666,
        0.0376786,
        0.0359174,
        0.0342844,
        0.0335782,
        0.0382471,
        0.0368225,
        0.0316999,
        0.0312281,
        0.0305772,
        0.0303125,
        0.0301634,
        0.0296358,
        0.0294759,
        0.0294046,
        0.0294997,
        0.0295842,
        0.0296865,
        0.0299394,
        0.034887,
        0.0349692,
        0.0309412,
        0.0310873,
        0.0316538,
        0.0326338,
        0.0334901,
        0.0346661,
        0.036473,
        0.038796,
        0.0419855,
        0.0454446,
        0.048523,
        0.0521381,
        0.0587112,
        0.0674965,
        0.0774369,
        0.088912,
        0.0999552,
        0.109427,
        0.11909,
        0.133152,
        0.157217,
        0.198273,
        0.223064,
        0.16603,
        0.126229,
        0.100147,
        0.0800366,
        0.0667072,
        0.0575137,
        0.0508986,
        0.0454549,
        0.0418771,
        0.0387834,
        0.0364484,
        0.0348473,
        0.033238,
        0.0318551,
        0.0308234,
        0.0298186,
        0.029143,
        0.0284235,
        0.0281202,
        0.0276201,
        0.0273737,
        0.0272288,
        0.0267413,
        0.0266688,
        0.0268046,
        0.0265116,
        0.0265624,
        0.0265309,
        0.0262824,
        0.0264411,
        0.0265261,
        0.0263488,
        0.0263998,
        0.0264199,
        0.0266109,
        0.0269042,
        0.0272299,
        0.0278476,
        0.0281803,
        0.0285441,
        0.0288069,
        0.0289979,
        0.029899,
        0.030616,
        0.0293809,
        0.0290758,
        0.0290218,
        0.0288925,
        0.0284827,
        0.0280809,
        0.0275221,
        0.0271595,
        0.0269614,
        0.0267749,
        0.0267278,
        0.0264782,
        0.0265788,
        0.0266163,
        0.0267618,
        0.0269354,
        0.0272664,
        0.0271179,
        0.0268966,
        0.0266753,
        0.0265357,
        0.0259795,
        0.0258847,
        0.0255357,
        0.0253582,
        0.025355,
        0.0251723,
        0.024811,
        0.0244764,
        0.0242787,
        0.0244503,
        0.0245345,
        0.0241083,
        0.0239487,
        0.0242027,
        0.0242109,
        0.0243021,
        0.0246352,
        0.0245855,
        0.0244163,
        0.0246463,
        0.0245163,
        0.0246118,
        0.0247457,
        0.025035,
        0.0254945,
        0.0270301,
        0.0280685,
        0.0259276,
        0.026273,
        0.0265534,
        0.0267476,
        0.0268036,
        0.0272975,
        0.0277842,
        0.0281267,
        0.0289651,
        0.0313026,
        0.0314154,
        0.0323609,
        0.0340506,
        0.0353998,
        0.0364223,
        0.0372653,
        0.0378002,
        0.0386514,
        0.0424304,
        0.0413202,
        0.0445319,
        0.0485172,
        0.0530491,
        0.0602068,
        0.0732015,
        0.0707263,
        0.0627364,
        0.0607931,
        0.059922,
        0.0609841,
        0.0630303,
        0.0654224,
        0.0675107,
        0.0689732,
        0.0677322,
        0.0670505,
        0.0683352,
        0.0717714,
        0.0779337,
        0.087987,
        0.103064,
        0.125221,
        0.145943,
        0.147754,
        0.125547,
        0.10145,
        0.081483,
        0.0680175,
        0.0582581,
        0.0509863,
        0.0448886,
        0.0413665,
        0.0387976,
        0.0357922,
        0.0341664,
        0.0326912,
        0.031932,
        0.0309622,
        0.0301151,
        0.0295767,
        0.0292666,
        0.0292519,
        0.0288133,
        0.0285603,
        0.028237,
        0.0283663,
        0.0282918,
        0.0283784,
        0.0286371,
        0.0289638,
        0.0287966,
        0.0290846,
        0.028761,
        0.028416,
        0.0277939,
        0.0275013,
        0.0271571,
        0.0272096,
        0.0273496,
        0.027762,
        0.0275889,
        0.027522,
        0.0277764,
        0.028261,
        0.0285076,
        0.028703,
        0.0288822,
        0.0287983,
        0.0283436,
        0.028426,
        0.0280488,
        0.0274999,
        0.0271308,
        0.0272452,
        0.0271292,
        0.0270002,
        0.0268198,
        0.0267881,
        0.026866,
        0.0266253,
        0.0265831,
        0.0265403,
        0.0268804,
        0.0265768,
        0.0265377,
        0.0262527,
        0.026369,
        0.0261862,
        0.0264619,
        0.0265751,
        0.0264931,
        0.0266817,
        0.0263541,
        0.0263912,
        0.0264953,
        0.0263927,
        0.0265903,
        0.0264427,
        0.0267241,
        0.0268772,
        0.0271384,
        0.0270387,
        0.0273099,
        0.0274923,
        0.0277001,
        0.0280413,
        0.0286937,
        0.0291535,
        0.0304474,
        0.0311267,
        0.0322684,
        0.0332033,
        0.0342134,
        0.0343088,
        0.0336028,
        0.0335774,
        0.0341733,
        0.0335256,
        0.0337464,
        0.0344272,
        0.0353179,
        0.0363169,
        0.0371309,
        0.0375758,
        0.0382555,
        0.0386793,
        0.0398231,
        0.0411534,
        0.0431214,
        0.0459865,
        0.0507321,
        0.0532085,
        0.0558905,
        0.0565234,
        0.0577314,
        0.0643187,
        0.0622501,
        0.0568327,
        0.0543255,
        0.0548881,
        0.0564203,
        0.0564905,
        0.0552007,
        0.0526268,
        0.0492273,
        0.0464956,
        0.0446541,
        0.0428082,
        0.0411913,
        0.0405709,
        0.0408443,
        0.0414185,
        0.0426243,
        0.0437581,
        0.0458409,
        0.049922,
        0.0539808,
        0.0605585,
        0.0682164,
        0.0818572,
        0.10224,
        0.11578,
        0.120336,
        0.117549,
        0.103406,
        0.0879708,
        0.0747394,
        0.0641948,
        0.0570272,
        0.0514459,
        0.047661,
        0.044634,
        0.0425799,
        0.0403214,
        0.0386293,
        0.0379542,
        0.0373428,
        0.0365133,
        0.0359147,
        0.0361636,
        0.0364651,
        0.0362489,
        0.0370683,
        0.0381779,
        0.0401458,
        0.0370541,
        0.0359315,
        0.0356804,
        0.0352217,
        0.0362096,
        0.0374067,
        0.0348922,
        0.0346632,
        0.0350074,
        0.0347922,
        0.0351176,
        0.0351133,
        0.0347984,
        0.0349752,
        0.0345414,
        0.0349661,
        0.0349396,
        0.0350069,
        0.036338,
        0.03618,
        0.0352908,
        null,
        0.0270625,
        0.0267013,
        0.0261199,
        0.0256038,
        0.025143,
        0.0245855,
        0.02419,
        0.0240902,
        0.0239403,
        0.0239176,
        0.0241565,
        0.0243829,
        0.0245506,
        0.0246958,
        0.0246128,
        0.0246627,
        0.0250118,
        0.0254262,
        0.0257543,
        0.0261288,
        0.0268662,
        0.0279042,
        0.0290785,
        0.0307194,
        0.0326528,
        0.0348073,
        0.0368367,
        0.0391857,
        0.0412924,
        0.042305,
        0.0422658,
        0.041687,
        0.0417247,
        0.0422894,
        0.0426965,
        0.0427576,
        0.0423516,
        0.0411464,
        0.0387579,
        0.0361652,
        0.0379377,
        0.0353835,
        0.0332252,
        0.0283592,
        0.0274535,
        0.0271131,
        0.028958,
        0.0284863,
        0.0255194,
        0.0247342,
        0.0244862,
        0.024305,
        0.0243265,
        0.0246727,
        0.0253128,
        0.026209,
        0.0252462,
        0.0242894,
        0.0242814,
        0.0242586,
        0.0244567,
        0.0247584,
        0.0251734,
        0.0257672,
        0.0268116,
        0.0281061,
        0.0298294,
        0.0322759,
        0.0356478,
        0.0405394,
        0.0472682,
        0.0539209,
        0.0581016,
        0.057969,
        0.0530165,
        0.0465727,
        0.0411493,
        0.0365319,
        0.0329722,
        0.0304302,
        0.0285471,
        0.0272431,
        0.0263406,
        0.0257326,
        0.0255658,
        0.0289448,
        0.0281408,
        0.0241391,
        0.024011,
        0.0239212,
        0.0239401,
        0.0238151,
        0.0236707,
        0.023698,
        0.0238424,
        0.0255078,
        0.0259298,
        0.0252486,
        0.0263298,
        0.0266562,
        0.0263221,
        0.0264101,
        0.0260656,
        0.0254645,
        0.0249791,
        0.0244574,
        0.0237638,
        0.023501,
        0.0233175,
        0.0231481,
        0.0232747,
        0.0232702,
        0.0234615,
        0.0235927,
        0.0235949,
        0.0233554,
        0.0231007,
        0.0225274,
        0.0219696,
        0.0216517,
        0.0214367,
        0.0213733,
        0.0212536,
        0.0212583,
        0.0212061,
        0.021128,
        0.0212065,
        0.0212814,
        0.0214703,
        0.0218174,
        0.0222517,
        0.0224914,
        0.0228462,
        0.0236054,
        0.0240928,
        0.0245842,
        0.0254632,
        0.0268177,
        0.0284576,
        0.03018,
        0.032449,
        0.0338138,
        0.0335198,
        0.0325935,
        0.0320551,
        0.0317889,
        0.0315992,
        0.0317831,
        0.0325343,
        0.0325924,
        0.0317093,
        0.0302187,
        0.0285513,
        0.0271348,
        0.0260529,
        0.0252729,
        0.0246714,
        0.0241345,
        0.023643,
        0.0231677,
        0.0226006,
        0.0220834,
        0.0217275,
        0.0215501,
        0.0212665,
        0.0209906,
        0.02095,
        0.0210067,
        0.0209969,
        0.020981,
        0.021047,
        0.0210912,
        0.0210585,
        0.0209499,
        0.0209054,
        0.0209507,
        0.0211185,
        0.0212513,
        0.0213848,
        0.0215405,
        0.0217037,
        0.022319,
        0.0228589,
        0.023139,
        0.0235418,
        0.0240429,
        0.0248798,
        0.0259115,
        0.0272323,
        0.0289312,
        0.0310815,
        0.0342412,
        0.0385819,
        0.0438391,
        0.0546919,
        0.057481,
        0.0477009,
        0.0436107,
        0.0394069,
        0.036152,
        0.034203,
        0.0329586,
        0.0323914,
        0.0325731,
        0.0326509,
        0.0321177,
        0.0310877,
        0.0294812,
        0.0280766,
        0.0292875,
        0.0285313,
        0.0246379,
        0.0237918,
        0.0230384,
        0.0225026,
        0.0221307,
        0.0221145,
        0.0218357,
        0.0211757,
        0.0210665,
        0.0209157,
        0.0208475,
        0.0207553,
        0.0206644,
        0.0207089,
        0.0206727,
        0.0206158,
        0.0205225,
        0.0206938,
        0.0207795,
        0.0207057,
        0.0208176,
        0.0209495,
        0.0211037,
        0.0212766,
        0.0216662,
        0.0218276,
        0.0218397,
        0.0221348,
        0.0224072,
        0.022588,
        0.0228447,
        0.0232267,
        0.0236854,
        0.0242326,
        0.0250216,
        0.0258734,
        0.0266547,
        0.0276718,
        0.0285631,
        0.0301125,
        0.0314704,
        0.0332951,
        0.0352461,
        0.0375267,
        0.0397823,
        0.0413243,
        0.0426205,
        0.04402,
        0.046061,
        0.0492923,
        0.0542626,
        0.0608879,
        0.0694891,
        0.0810304,
        0.0974279,
        0.122288,
        0.167302,
        0.161504,
        0.111779,
        0.0835277,
        0.0688707,
        0.0572055,
        0.0491967,
        0.0447831,
        0.044321,
        0.0396983,
        0.0352204,
        0.0332998,
        0.0317074,
        0.030696,
        0.0300876,
        0.0295541,
        0.029422,
        0.0295302,
        0.0296946,
        0.0302274,
        0.0306369,
        0.0306367,
        0.0301957,
        0.0293071,
        0.0287297,
        0.0289423,
        0.0283468,
        0.0278799,
        0.0276331,
        0.027468,
        0.0273858,
        0.027556,
        0.0281729,
        0.0292121,
        0.0305166,
        0.0320859,
        0.0336127,
        0.0350281,
        0.0365804,
        0.0383538,
        0.0406543,
        0.0438202,
        0.046895,
        0.048547,
        0.0473152,
        0.0436563,
        0.0391729,
        0.0350279,
        0.0319047,
        0.0293612,
        0.0274445,
        0.0260302,
        0.0250263,
        0.0241942,
        0.0234414,
        0.022758,
        0.0223396,
        0.0224063,
        0.0248247,
        0.0239777,
        0.0209523,
        0.0208143,
        0.0205449,
        0.020331,
        0.0201918,
        0.0199571,
        0.0198068,
        0.0196555,
        0.019538,
        0.0194967,
        0.0195655,
        0.0195303,
        0.0195523,
        0.0195453,
        0.0195845,
        0.0196935,
        0.0198092,
        0.0199699,
        0.0201392,
        0.0203073,
        0.0204801,
        0.0205682,
        0.0205702,
        0.0205324,
        0.0205838,
        0.0207498,
        0.0209329,
        0.0211783,
        0.0215923,
        0.0222441,
        0.0228607,
        0.0236407,
        0.0247854,
        0.0262813,
        0.0275785,
        0.0283069,
        0.0285826,
        0.0297551,
        0.028796,
        0.0272196,
        0.0267262,
        0.0266615,
        0.0271541,
        0.0277023,
        0.0278748,
        0.027693,
        0.0268924,
        0.0258936,
        0.0252479,
        0.0246199,
        0.0241535,
        0.0241392,
        0.0244711,
        0.0247463,
        0.0245558,
        0.0242623,
        0.0235844,
        0.022795,
        0.0219988,
        0.0214125,
        0.0209935,
        0.0206112,
        0.0204368,
        0.0199967,
        0.0198091,
        0.0197912,
        0.0198375,
        0.0198711,
        0.019962,
        0.0201562,
        0.0203367,
        0.0205303,
        0.0208485,
        0.0209957,
        0.0212906,
        0.0216129,
        0.0219279,
        0.0224161,
        0.0230663,
        0.0238937,
        0.024713,
        0.0259301,
        0.0272104,
        0.0284754,
        0.0300601,
        0.0316699,
        0.0331362,
        0.0346263,
        0.0365919,
        0.0394002,
        0.0430532,
        0.048342,
        0.0549867,
        0.0640321,
        0.0731758,
        0.0822868,
        0.0868047,
        0.0853956,
        0.0780145,
        0.0683262,
        0.0587984,
        0.051417,
        0.0458867,
        0.0420049,
        0.0396089,
        0.0391827,
        0.0385957,
        0.0383975,
        0.0396375,
        0.0401156,
        0.0398253,
        0.0381324,
        0.0388905,
        0.0340192,
        0.028917,
        0.026916,
        0.0253674,
        0.0242644,
        0.0261251,
        0.0250756,
        0.0215985,
        0.0212548,
        0.0209474,
        0.0205754,
        0.0204172,
        0.020446,
        0.0203008,
        0.0202468,
        0.0203061,
        0.0202352,
        0.0200277,
        0.0198963,
        0.019786,
        0.0198244,
        0.0198753,
        0.020075,
        0.0201283,
        0.0202669,
        0.020536,
        0.0207148,
        0.021129,
        0.0215882,
        0.0220317,
        0.0225705,
        0.0229399,
        0.0234575,
        0.0241919,
        0.0256018,
        0.0298253,
        0.0307874,
        0.0279154,
        0.0277797,
        0.0276951,
        0.0274667,
        0.0272762,
        0.0284724,
        0.0292375,
        0.0263356,
        0.0243819,
        0.0241983,
        0.0241853,
        0.02443,
        0.0247275,
        0.0248136,
        0.0242764,
        0.0232497,
        0.0220879,
        0.0210872,
        0.0203396,
        0.0197689,
        0.0193663,
        0.018934,
        0.0186359,
        0.018292,
        0.0181504,
        0.0182208,
        0.0181535,
        0.0178864,
        0.0178869,
        0.01818,
        0.0181199,
        0.0176507,
        0.0175641,
        0.0176611,
        0.0177924,
        0.0178642,
        0.0180728,
        0.0182697,
        0.0184883,
        0.0186933,
        0.0191094,
        0.0192868,
        0.0196269,
        0.0200095,
        0.0203102,
        0.0205318,
        0.0204561,
        0.0201066,
        0.0198485,
        0.0195502,
        0.0192172,
        0.0189898,
        0.0187679,
        0.0184993,
        0.0183562,
        0.0182594,
        0.0181218,
        0.018209,
        0.0203914,
        0.0194638,
        0.017859,
        0.0178803,
        0.0180677,
        0.0182023,
        0.0194432,
        0.0195699,
        0.017838,
        0.0177122,
        0.0177367,
        0.0177354,
        0.0177065,
        0.0176756,
        0.0177181,
        0.0177781,
        0.0177938,
        0.0179261,
        0.0180639,
        0.0181457,
        0.0183964,
        0.0189306,
        0.0194202,
        0.0200484,
        0.0205674,
        0.0214194,
        0.0226162,
        0.0239389,
        0.0258145,
        0.027973,
        0.0297411,
        0.0309333,
        0.0306081,
        0.0295125,
        0.028491,
        0.027717,
        0.0275647,
        0.027374,
        0.0268208,
        0.0256662,
        0.0246549,
        0.0235029,
        0.0223763,
        0.0217404,
        0.0214635,
        0.0211614,
        0.0210755,
        0.0239772,
        0.0244842,
        0.0210909,
        0.0200546,
        0.0198426,
        0.0198134,
        0.0197853,
        0.0198298,
        0.0199529,
        0.0201546,
        0.0203143,
        0.0230233,
        0.0230144,
        0.020595,
        0.0210637,
        0.0215316,
        0.022101,
        0.0228743,
        0.0235422,
        0.0239195,
        0.0239634,
        0.0236787,
        0.0233726,
        0.0231559,
        0.023395,
        0.0243347,
        0.0241981,
        0.0237364,
        0.0240009,
        0.0240879,
        0.0238381,
        0.0233225,
        0.0229066,
        0.0224691,
        0.0219937,
        0.0216865,
        0.0216381,
        0.0215332,
        0.0215277,
        0.0217174,
        0.0220852,
        0.0223389,
        0.0227326,
        0.0232304,
        0.0239442,
        0.0272537,
        0.0273455,
        0.0267795,
        0.0280889,
        0.0298999,
        0.0314461,
        0.0335947,
        0.0358123,
        0.0391469,
        0.046516,
        0.0527263,
        0.0551567,
        0.0655577,
        0.0822252,
        0.108022,
        0.153852,
        0.241441,
        0.163831,
        0.113642,
        0.0850687,
        0.0676968,
        0.0563237,
        0.048993,
        0.0432445,
        0.0387314,
        0.0356637,
        0.0331352,
        0.0313785,
        0.0299638,
        0.0289403,
        0.028301,
        0.0280191,
        0.0280133,
        0.0295516,
        0.0300074,
        0.0288548,
        0.0302981,
        0.0296408,
        0.0266162,
        0.0251157,
        0.0238776,
        0.0232303,
        0.0225137,
        0.0221071,
        0.0217652,
        0.021181,
        0.0208225,
        0.0204882,
        0.0202068,
        0.020296,
        0.0204016,
        0.0204605,
        0.0204719,
        0.0206109,
        0.0208858,
        0.0212543,
        0.0218619,
        0.0225998,
        0.0235348,
        0.0248314,
        0.026145,
        0.0273105,
        0.0279751,
        0.0280241,
        0.0309251,
        0.0286619,
        0.0235917,
        0.0227276,
        0.0218922,
        0.0211074,
        0.0205018,
        0.0200706,
        0.01976,
        0.0196233,
        0.0194135,
        0.019266,
        0.0191331,
        0.0190954,
        0.0190367,
        0.0189993,
        0.0191304,
        0.0191992,
        0.0193307,
        0.0194161,
        0.019729,
        0.0200908,
        0.0208718,
        0.0246957,
        0.0248471,
        0.0215452,
        0.0214587,
        0.0212649,
        0.0208363,
        0.0205952,
        0.0203876,
        0.0204245,
        0.0206285,
        0.0208764,
        0.0210421,
        0.0213229,
        0.0214819,
        0.0208556,
        0.0199427,
        0.0195974,
        0.0208691,
        0.0209634,
        0.0188442,
        0.0187394,
        0.0189074,
        0.0191439,
        0.0207787,
        0.0213495,
        0.0207945,
        0.0207342,
        0.019456,
        0.0198418,
        0.0197938,
        0.0192217,
        0.0189667,
        0.0185708,
        0.0183183,
        0.0182607,
        0.0181573,
        0.0180453,
        0.0180677,
        0.0185872,
        0.0232883,
        0.0224624,
        0.0194835,
        0.0188285,
        0.0193619,
        0.0200765,
        0.020189,
        0.0210266,
        0.022735,
        0.0232265,
        0.0232779,
        0.0231891,
        0.0223534,
        0.0212952,
        0.0203153,
        0.0197085,
        0.0191589,
        0.0187008,
        0.0185353,
        0.0202583,
        0.0205501,
        0.0179081,
        0.0176636,
        0.0176135,
        0.0175595,
        0.0173394,
        0.0172005,
        0.0172759,
        0.0173773,
        0.0196295,
        0.0196106,
        0.0172999,
        0.0174922,
        0.0173272,
        0.0172026,
        0.0170725,
        0.016979,
        0.016855,
        0.0167378,
        0.0170135,
        0.0169217,
        0.0170234,
        0.0172154,
        0.0174574,
        0.0176214,
        0.0176383,
        0.0177824,
        0.0178092,
        0.0177198,
        0.0177116,
        0.0188417,
        0.0191451,
        0.017451,
        0.0174449,
        0.0174141,
        0.0174235,
        0.0189988,
        0.0189278,
        0.0177831,
        0.0178527,
        0.0180439,
        0.0182629,
        0.0186142,
        0.019211,
        0.0199926,
        0.0209832,
        0.0212852,
        0.0222364,
        0.0234481,
        0.0241219,
        0.0245867,
        0.0243409,
        0.0232457,
        0.0222322,
        0.0213514,
        0.0205791,
        0.0199811,
        0.0196272,
        0.0194527,
        0.0194099,
        0.0194733,
        0.0194569,
        0.0197476,
        0.020219,
        0.0207392,
        0.0214257,
        0.022531,
        0.0243251,
        0.0261959,
        0.0275557,
        0.0267185,
        0.0274097,
        0.0277276,
        0.0266313,
        0.0251101,
        0.0241755,
        0.0237278,
        0.02342,
        0.0232817,
        0.0229176,
        0.0223226,
        0.0217359,
        0.0212709,
        0.0209162,
        0.020698,
        0.0206007,
        0.0208887,
        0.0212135,
        0.021806,
        0.0224095,
        0.0230354,
        0.023623,
        0.0247671,
        0.023965,
        0.0215687,
        0.0209119,
        0.0205626,
        0.0198312,
        0.0192046,
        0.018935,
        0.0187407,
        0.0185319,
        0.018328,
        0.0181542,
        0.0181035,
        0.0179411,
        0.0179313,
        0.0178256,
        0.0200971,
        0.0199021,
        0.0175818,
        0.0174698,
        0.0174064,
        0.0178339,
        0.0177307,
        0.0173114,
        0.0173339,
        0.0171634,
        0.0172188,
        0.0171931,
        0.0174499,
        0.0187556,
        0.0189098,
        0.017261,
        0.0172444,
        0.0170282,
        0.0170636,
        0.0173416,
        0.0171715,
        0.016965,
        0.0172794,
        0.0172152,
        0.0168812,
        0.0167161,
        0.0166587,
        0.0165926,
        0.0167296,
        0.0167178,
        0.0168698,
        0.0168977,
        0.0171759,
        0.0198173,
        0.0189039,
        0.0172093,
        0.0172586,
        0.0172532,
        0.0172442,
        0.0172441,
        0.0171396,
        0.0171779,
        0.0173102,
        0.01719,
        0.0172523,
        0.0172064,
        0.017322,
        0.0172913,
        0.0173008,
        0.0173508,
        0.0174563,
        0.0174664,
        0.0181159,
        0.0189574,
        0.0180783,
        0.0176822,
        0.0177944,
        0.0179389,
        0.0178145,
        0.019089,
        0.0196295,
        0.0196621,
        0.0180825,
        0.0183034,
        0.0182937,
        0.0183441,
        0.0184872,
        0.0187709,
        0.0189299,
        0.0190663,
        0.0194071,
        0.0214831,
        0.0219646,
        0.0209413,
        0.0217563,
        0.0226986,
        0.0236441,
        0.0245157,
        0.0259766,
        0.0259721,
        0.0245622,
        0.0244817,
        0.0251301,
        0.026185,
        0.0266022,
        0.027732,
        0.0287984,
        0.0288565,
        0.0276654,
        0.0260873,
        0.0248243,
        0.0251763,
        0.0256434,
        0.0236491,
        0.0226099,
        0.022473,
        0.0227328,
        0.0230359,
        0.0230855,
        0.0222673,
        0.0214029,
        0.0209377,
        0.0206034,
        0.0202988,
        0.0226989,
        0.0225048,
        0.0196433,
        0.0192914,
        0.0200993,
        0.0206784,
        0.0191069,
        0.0191473,
        0.0198675,
        0.0198228,
        0.0191624,
        0.0191151,
        0.0192454,
        0.0195097,
        0.0194107,
        0.0194011,
        0.0195006,
        0.0198138,
        0.0197459,
        0.0196059,
        0.019945,
        0.0201812,
        0.0202069,
        0.021143,
        0.0207665,
        0.020396,
        0.020554,
        0.0209788,
        0.0213264,
        0.0216675,
        0.0218516,
        0.0222218,
        0.0226881,
        0.0230027,
        0.023993,
        0.024509,
        0.0246453,
        0.0261131,
        0.0273831,
        0.0290712,
        0.0312158,
        0.0305555,
        0.0328409,
        0.0373316,
        0.039846,
        0.0434229,
        0.0495285,
        0.0583573,
        0.0706223,
        0.0915662,
        0.12428,
        0.21719,
        0.147066,
        0.105377,
        0.0807571,
        0.0648915,
        0.0548162,
        0.0473625,
        0.0426407,
        0.0387188,
        0.0357737,
        0.0336296,
        0.0324929,
        0.0310051,
        0.0289184,
        0.0278512,
        0.026879,
        0.0261198,
        0.0256314,
        0.0252502,
        0.0249249,
        0.0245356,
        0.0244555,
        0.0246786,
        0.024962,
        0.0254428,
        0.0261989,
        0.027127,
        0.0277267,
        0.0274746,
        0.0265007,
        0.025108,
        0.0240741,
        0.0233699,
        0.0230044,
        0.0230547,
        0.0223088,
        0.0219348,
        0.0218872,
        0.0218685,
        0.0219464,
        0.0219951,
        0.0221377,
        0.0221438,
        0.0222261,
        0.0223648,
        0.0226513,
        0.0229845,
        0.023403,
        0.0238836,
        0.0245758,
        0.0252414,
        0.0254674,
        0.0253619,
        0.024674,
        0.0239614,
        0.0231678,
        0.0223557,
        0.0216749,
        0.0212543,
        0.0211175,
        0.020901,
        0.0214357,
        0.02165,
        0.0208645,
        0.0201384,
        0.0197743,
        0.0192881,
        0.0190722,
        0.0189247,
        0.0185405,
        0.0184089,
        0.0190789,
        0.0188796,
        0.0182415,
        0.0182335,
        0.0208225,
        0.0198876,
        0.0179137,
        0.0192772,
        0.0200345,
        0.0202965,
        0.0200416,
        0.0178871,
        0.0178925,
        0.0178462,
        0.0177883,
        0.0176606,
        0.0175985,
        0.0174942,
        0.017415,
        0.0173533,
        0.0173247,
        0.0174276,
        0.0173343,
        0.0172946,
        0.0172588,
        0.0171251,
        0.0171248,
        0.0171455,
        0.0169095,
        0.0169016,
        0.017578,
        0.017196,
        0.017057,
        0.017184,
        0.0170412,
        0.0171286,
        0.0171504,
        0.0178185,
        0.0177124,
        0.0171678,
        0.0173834,
        0.0172408,
        0.0169646,
        0.016896,
        0.0169976,
        0.0193201,
        0.0193187,
        0.0198661,
        0.0197837,
        0.0171281,
        0.0171848,
        0.0177063,
        0.0181894,
        0.017598,
        0.0178632,
        0.0182973,
        0.0190679,
        0.019457,
        0.0194876,
        0.0202064,
        0.0211055,
        0.021943,
        0.0227229,
        0.0230484,
        0.0225938,
        0.021691,
        0.0207097,
        0.0201056,
        0.0196584,
        0.0191505,
        0.0188344,
        0.0205246,
        0.019307,
        0.0182541,
        0.0182483,
        0.0182347,
        0.0181233,
        0.0184524,
        0.0180368,
        0.0179337,
        0.0201609,
        0.0200073,
        0.018016,
        0.0179163,
        0.0178717,
        0.0179232,
        0.0179649,
        0.018142,
        0.0181008,
        0.0183446,
        0.0184278,
        0.0184309,
        0.0184045,
        0.0185118,
        0.0183818,
        0.0182893,
        0.0182226,
        0.0181829,
        0.0180787,
        0.0180703,
        0.0182114,
        0.0181666,
        0.0180658,
        0.018386,
        0.0185364,
        0.0187357,
        0.0190854,
        0.0194737,
        0.020177,
        0.0203431,
        0.0201257,
        0.0201315,
        0.0198521,
        0.0197293,
        0.0203654,
        0.0217963,
        0.0210223,
        0.0210129,
        0.0216393,
        0.0221593,
        0.0228238,
        0.0231634,
        0.0230526,
        0.0227101,
        0.0221859,
        0.0215692,
        0.0209123,
        0.0207154,
        0.0201671,
        0.0197985,
        0.0193132,
        0.0194202,
        0.0192141,
        0.0190316,
        0.0189022,
        0.018957,
        0.0192078,
        0.0191724,
        0.0191985,
        0.0206763,
        0.0204468,
        0.0202037,
        0.0202881,
        0.0189976,
        0.0191514,
        0.0191437,
        0.0192789,
        0.0193573,
        0.0193218,
        0.0194371,
        0.0209635,
        0.0206462,
        0.0193257,
        0.0195324,
        0.0199177,
        0.0202532,
        0.0202364,
        0.0204743,
        0.0207031,
        0.0212932,
        0.0216715,
        0.0230463,
        0.0234877,
        0.0241557,
        0.0255409,
        0.027099,
        0.0293614,
        0.0328492,
        0.0373091,
        0.0442483,
        0.0535854,
        0.0670009,
        0.0842303,
        0.103325,
        0.115293,
        0.113571,
        0.0991019,
        0.0798828,
        0.0634054,
        0.0516752,
        0.042611,
        0.0365373,
        0.0322939,
        0.0294801,
        0.0275453,
        0.0260756,
        0.0249988,
        0.0240427,
        0.0233283,
        0.0227364,
        0.0221334,
        0.0217402,
        0.0215394,
        0.023215,
        0.0239421,
        0.0239758,
        0.0234868,
        0.0206678,
        0.0204594,
        0.0204205,
        0.0203835,
        0.020289,
        0.0201978,
        0.0200429,
        0.0200203,
        0.0201689,
        0.0199496,
        0.0199184,
        0.01972,
        0.0197771,
        0.0198184,
        0.0199472,
        0.0219309,
        0.0218775,
        0.0200057,
        0.020172,
        0.0203411,
        0.020684,
        0.0203899,
        0.0200754,
        0.0200061,
        0.0200207,
        0.0200857,
        0.0202412,
        0.0203434,
        0.0205583,
        0.0209098,
        0.021327,
        0.0220552,
        0.0240632,
        0.0241613,
        0.0249203,
        0.0265468,
        0.0289387,
        0.0355945,
        0.0397192,
        0.0390288,
        0.0424056,
        0.0430598,
        0.0413672,
        0.0381185,
        0.0347131,
        0.0314489,
        0.0293413,
        0.0277767,
        0.0265822,
        0.0252807,
        0.0242922,
        0.02372,
        0.0235006,
        0.0272239,
        0.0265077,
        0.0231536,
        0.0231278,
        0.022711,
        0.0228946,
        0.0233036,
        0.023135,
        0.0231986,
        0.023275,
        0.0230704,
        0.0233324,
        0.0246018,
        0.0244325,
        0.0238795,
        0.0237127,
        0.0234997,
        0.0234475,
        0.023028,
        0.022653,
        0.0224555,
        0.0225014,
        0.0226109,
        0.0224934,
        0.0223407,
        0.0225119,
        0.0228545,
        0.0234971,
        0.024329,
        0.0255006,
        0.0262773,
        0.0268699,
        0.0269259,
        0.0263485,
        0.0253094,
        0.0244176,
        0.0234407,
        0.0228219,
        0.0223222,
        0.0218628,
        0.0214533,
        0.0213781,
        0.0213992,
        0.021177,
        0.0210747,
        0.0208709,
        0.0208948,
        0.0209705,
        0.0209804,
        0.0211429,
        0.0213646,
        0.0216159,
        0.0232697,
        0.0236956,
        0.0257737,
        0.0255303,
        0.0223671,
        0.0223286,
        0.0227182,
        0.022915,
        0.0229198,
        0.0231376,
        0.0234231,
        0.0235648,
        0.0245938,
        0.0247457,
        0.0247927,
        0.0253323,
        0.0257912,
        0.0261498,
        0.02842,
        0.0291067,
        0.0276294,
        0.0284415,
        0.0289564,
        0.0295987,
        0.0306107,
        0.0316617,
        0.0345784,
        0.0358806,
        0.0373328,
        0.0396573,
        0.0427847,
        0.0463944,
        0.0508734,
        0.0573247,
        0.0708995,
        0.0785187,
        0.094552,
        0.121056,
        0.160876,
        0.17622,
        0.126506,
        0.101394,
        0.0832231,
        0.073061,
        0.0659859,
        0.0606854,
        0.0581034,
        0.0564737,
        0.0642131,
        0.0677621,
        0.0617158,
        0.0587583,
        0.0631466,
        0.069603,
        0.0791456,
        0.0934943,
        0.116096,
        0.156071,
        0.231418,
        0.220918,
        0.15182,
        0.1107,
        0.0862331,
        0.0727346,
        0.0621977,
        0.0553829,
        0.0507807,
        0.0472437,
        0.0445675,
        0.0435994,
        0.0428234,
        0.0428757,
        0.0427969,
        0.0418611,
        0.0395243,
        0.0371803,
        0.0350116,
        0.0326972,
        0.0311866,
        0.0299008,
        0.0291213,
        0.0288313,
        0.0277106,
        0.0271566,
        0.026848,
        0.0273495,
        0.0272612,
        0.0262047,
        0.0261377,
        0.0262512,
        0.0261613,
        0.0258826,
        0.0252332,
        0.0246665,
        0.024028,
        0.0237245,
        0.0236199,
        0.0238292,
        0.0259058,
        0.025672,
        0.0226537,
        0.0225256,
        0.0223879,
        0.0222098,
        0.02227,
        0.0222333,
        0.0222231,
        0.0221281,
        0.0222335,
        0.0221412,
        0.0220152,
        0.0221584,
        0.0220837,
        0.0220042,
        0.0222483,
        0.0220829,
        0.0222885,
        0.0223011,
        0.0222206,
        0.0221075,
        0.0220159,
        0.021854,
        0.0220046,
        0.0220449,
        0.0221598,
        0.0223528,
        0.0219601,
        0.0219574,
        0.021949,
        0.0218685,
        0.0218413,
        0.0218349,
        0.0220706,
        0.0219333,
        0.0220068,
        0.0220632,
        0.0220571,
        0.0222855,
        0.0222453,
        0.0220511,
        0.0217825,
        0.0219089,
        0.0219718,
        0.022104,
        0.0224666,
        0.0221257,
        0.022076,
        0.0221613,
        0.0220445,
        0.0224752,
        0.0257747,
        0.0242847,
        0.0224297,
        0.0223323,
        0.0218984,
        0.02171,
        0.0217966,
        0.0219853,
        0.0220267,
        0.0220408,
        0.0221023,
        0.0221556,
        0.0223575,
        0.0226128,
        0.0228657,
        0.0233162,
        0.0239036,
        0.0249857,
        0.0294453,
        0.0296742,
        0.0269782,
        0.0276844,
        0.0288808,
        0.0295332,
        0.0310657,
        0.0323172,
        0.0302072,
        0.0295262,
        0.0287876,
        0.0282182,
        0.0278119,
        0.0275255,
        0.0273273,
        0.0274556,
        0.0304664,
        0.0313724,
        0.0298245,
        0.0304259,
        0.030516,
        0.029634,
        0.0280615,
        0.0270525,
        0.0262206,
        0.0253873,
        0.0251174,
        0.0255132,
        0.0252959,
        0.0243783,
        0.0240877,
        0.0241243,
        0.0239822,
        0.0236645,
        0.0235695,
        0.0233633,
        0.0230107,
        0.0229728,
        0.0229876,
        0.0230611,
        0.0232835,
        0.0231636,
        0.0231336,
        0.0230201,
        0.023289,
        0.0259941,
        0.0256589,
        0.0224354,
        0.0224303,
        0.0222232,
        0.0221988,
        0.0220284,
        0.0218942,
        0.0221687,
        0.0221477,
        0.0219693,
        0.0219705,
        0.0219824,
        0.0218824,
        0.0218906,
        0.0246713,
        0.0231661,
        0.0276313,
        0.0274126,
        0.0222197,
        0.0224222,
        0.022729,
        0.0231198,
        0.0234514,
        0.0267908,
        0.0292879,
        0.0248844,
        0.0242059,
        0.0241188,
        0.0238429,
        0.0234933,
        0.0234071,
        0.0234962,
        0.0233853,
        0.0233165,
        0.0234228,
        0.0233532,
        0.023542,
        0.0237617,
        0.0241606,
        0.0241574,
        0.0240767,
        0.0245444,
        0.0247376,
        0.0250353,
        0.0260636,
        0.0252719,
        0.025306,
        0.0245848,
        0.0244518,
        0.0245827,
        0.0242447,
        0.0240961,
        0.0239608,
        0.0235773,
        0.0233672,
        0.0230447,
        0.0230054,
        0.023632,
        0.0243443,
        0.0232893,
        0.0230219,
        0.0227534,
        0.0229391,
        0.0228624,
        0.0231143,
        0.0232598,
        0.0248601,
        0.0251453,
        0.0228462,
        0.0225928,
        0.0224643,
        0.0225987,
        0.0226879,
        0.022573,
        0.0227171,
        0.0228646,
        0.0227815,
        0.0226394,
        0.022742,
        0.0232603,
        0.0235989,
        0.0237334,
        0.0240564,
        0.0246671,
        0.0252656,
        0.0263772,
        0.0269213,
        0.0286711,
        0.029282,
        0.0295884,
        0.0296635,
        0.0286748,
        0.0276534,
        0.0272902,
        0.0269245,
        0.0255713,
        0.0250545,
        0.0249228,
        0.0249854,
        0.0292969,
        0.0293859,
        0.0252691,
        0.0250036,
        0.024863,
        0.0247351,
        0.0244915,
        0.0247076,
        0.0245,
        0.0246936,
        0.0246571,
        0.0245416,
        0.0246125,
        0.0244432,
        0.0246787,
        0.0272828,
        0.0271778,
        0.0243698,
        0.0244318,
        0.0245503,
        0.0247696,
        0.0277664,
        0.0278816,
        0.0247163,
        0.0247481,
        0.024771,
        0.0250345,
        0.0248494,
        0.0243338,
        0.024229,
        0.0241772,
        0.0240366,
        0.024334,
        0.0246299,
        0.0245605,
        0.0245815,
        0.0247263,
        0.0249632,
        0.0249286,
        0.024856,
        0.0251197,
        0.0256122,
        0.0252118,
        0.0244616,
        0.0244294,
        0.0242786,
        0.024033,
        0.0240114,
        0.0240324,
        0.0240641,
        0.023915,
        0.0239123,
        0.0241467,
        0.0240396,
        0.0241168,
        0.0242646,
        0.0243911,
        0.0247065,
        0.0243577,
        0.0262388,
        0.0263859,
        0.0246969,
        0.0250065,
        0.0295657,
        0.0288031,
        0.0251606,
        0.0252323,
        0.028696,
        0.0289608,
        0.0255262,
        0.025624,
        0.0255603,
        0.0257966,
        0.0259671,
        0.0261015,
        0.0263146,
        0.0264766,
        0.0266571,
        0.026848,
        0.0266274,
        0.0265662,
        0.0262148,
        0.0260986,
        0.0257972,
        0.0257313,
        0.0259838,
        0.0270272,
        0.0268617,
        0.0256496,
        0.0256108,
        0.0254143,
        0.025616,
        0.0258479,
        0.0258918,
        0.0257367,
        0.0261335,
        0.0264442,
        0.0265676,
        0.0267239,
        0.0278183,
        0.0318264,
        0.0315398,
        0.0307969,
        0.0313293,
        0.0294549,
        0.0303797,
        0.0315082,
        0.0329265,
        0.0336707,
        0.0331504,
        0.0321194,
        0.0306121,
        0.0298782,
        0.0298375,
        0.0335586,
        0.032524,
        0.0290584,
        0.0293141,
        0.0292784,
        0.0293308,
        0.0296153,
        0.02987,
        0.0298636,
        0.0300667,
        0.0304963,
        0.030825,
        0.0313394,
        0.031835,
        0.0324973,
        0.0332975,
        0.0336225,
        0.0343889,
        0.0353758,
        0.0365013,
        0.0373896,
        0.0391465,
        0.0409529,
        0.0430661,
        0.045665,
        0.0479336,
        0.0518987,
        0.0565621,
        0.0631017,
        0.0714103,
        0.0853762,
        0.110294,
        0.13129,
        0.157788,
        0.208903,
        0.150958,
        0.115624,
        0.0943799,
        0.080072,
        0.0695998,
        0.0623892,
        0.0576017,
        0.0537364,
        0.0506666,
        0.0477513,
        0.0452625,
        0.0437934,
        0.0440405,
        0.0458685,
        0.0408376,
        0.0392293,
        0.0387131,
        0.0381221,
        0.0377224,
        0.0376734,
        0.036839,
        0.0360056,
        0.0355623,
        0.0352763,
        0.0348876,
        0.0341599,
        0.0337832,
        0.0331967,
        0.0330762,
        0.0327262,
        0.0321181,
        0.0319736,
        0.0320246,
        0.0315028,
        0.0313236,
        0.0312802,
        0.0311499,
        0.0312418,
        0.0313662,
        0.0316911,
        0.0315394,
        0.0314348,
        0.031121,
        0.0309577,
        0.0309259,
        0.0309115,
        0.0309792,
        0.0311335,
        0.0311274,
        0.0315932,
        0.0350455,
        0.0349208,
        0.0318413,
        0.031045,
        0.0311053,
        0.0310609,
        0.0310636,
        0.0313419,
        0.0313407,
        0.031274,
        0.0316887,
        0.0319741,
        0.0323189,
        0.0330764,
        0.0335091,
        0.0344473,
        0.0358778,
        0.0373694,
        0.0385219,
        0.0386986,
        0.0380044,
        0.0364987,
        0.0354155,
        0.0345058,
        0.0336169,
        0.0329196,
        0.0321486,
        0.0311719,
        0.0308333,
        0.0304296,
        0.030516,
        0.0308555,
        0.0309019,
        0.0301781,
        0.0299057,
        0.029803,
        0.0297811,
        0.0298715,
        0.0299876,
        0.0301641,
        0.0299448,
        0.0300233,
        0.0302935,
        0.0308784,
        0.031508,
        0.0314973,
        0.0311927,
        0.0308239,
        0.0307353,
        0.0309559,
        null,
        0.022217,
        0.0223118,
        0.022282,
        0.0222258,
        0.0223427,
        0.0223181,
        0.0222184,
        0.0222617,
        0.0242864,
        0.0242696,
        0.0222458,
        0.0222507,
        0.0223113,
        0.0222354,
        0.0222608,
        0.0223305,
        0.0224761,
        0.0226159,
        0.0227231,
        0.0228119,
        0.0231413,
        0.0234161,
        0.0233376,
        0.0234221,
        0.0236417,
        0.0238462,
        0.0243536,
        0.0249933,
        0.0256802,
        0.0264521,
        0.0271689,
        0.0275879,
        0.0273546,
        0.0265568,
        0.0256555,
        0.02487,
        0.0241869,
        0.0236381,
        0.0232568,
        0.0229703,
        0.0235319,
        0.0231624,
        0.0220064,
        0.0218573,
        0.0217947,
        0.0215792,
        0.0215362,
        0.0214255,
        0.021222,
        0.0212738,
        0.0214657,
        0.0230641,
        0.0227454,
        0.0211093,
        0.0211712,
        0.0211764,
        0.0212493,
        0.0212854,
        0.0213661,
        0.0213543,
        0.0212527,
        0.0211867,
        0.0211991,
        0.0211945,
        0.0212434,
        0.0212712,
        0.0212963,
        0.0213813,
        0.0215406,
        0.0216565,
        0.0216137,
        0.0215218,
        0.0215424,
        0.0217466,
        0.0218071,
        0.0218833,
        0.022019,
        0.0220338,
        0.022175,
        0.0220922,
        0.0220403,
        0.0221228,
        0.0221183,
        0.0220908,
        0.0221409,
        0.0222016,
        0.0222353,
        0.0222364,
        0.0223272,
        0.0224075,
        0.022502,
        0.0226178,
        0.0226475,
        0.0227019,
        0.0226244,
        0.0224969,
        0.0225499,
        0.0225347,
        0.0225574,
        0.0226823,
        0.022797,
        0.0228625,
        0.0230255,
        0.023156,
        0.0231772,
        0.0231986,
        0.0229989,
        0.0229007,
        0.0228996,
        0.0227453,
        0.022671,
        0.0260735,
        0.026026,
        0.0226261,
        0.0225967,
        0.0226205,
        0.0227666,
        0.0231694,
        0.0261117,
        0.0260757,
        0.023538,
        0.0239366,
        0.0243865,
        0.024971,
        0.0253028,
        0.0257066,
        0.0266744,
        0.0276172,
        0.0284858,
        0.0296892,
        0.0310319,
        0.0327997,
        0.0350699,
        0.0377974,
        0.0417379,
        0.0496746,
        0.0522462,
        0.0489074,
        0.0507322,
        0.0532022,
        0.057209,
        0.0631807,
        0.0733495,
        0.0895163,
        0.116325,
        0.163066,
        0.134507,
        0.0956611,
        0.0747295,
        0.0614243,
        0.0520023,
        0.0455734,
        0.040981,
        0.0375264,
        0.0346443,
        0.0325045,
        0.0307441,
        0.029244,
        0.0280532,
        0.0271074,
        0.0263651,
        0.0267263,
        0.0260292,
        0.0246206,
        0.024219,
        0.0239695,
        0.0238308,
        0.0245644,
        0.0243633,
        0.0231152,
        0.0228454,
        0.0225689,
        0.0223308,
        0.0220316,
        0.0220395,
        0.0221434,
        0.0223731,
        0.0221498,
        0.0218833,
        0.0217789,
        0.0218861,
        0.0243939,
        0.0242557,
        0.022236,
        0.021496,
        0.0216164,
        0.0214905,
        0.0212861,
        0.0213261,
        0.0212767,
        0.021214,
        0.0212354,
        0.0212072,
        0.0213439,
        0.0223977,
        0.0222332,
        0.0210354,
        0.0208404,
        0.0206302,
        0.0207055,
        0.0206531,
        0.0206001,
        0.0203689,
        0.02024,
        0.0202274,
        0.020164,
        0.0201699,
        0.0200751,
        0.0199473,
        0.0197055,
        0.0196654,
        0.0196525,
        0.0196175,
        0.0198243,
        0.0198379,
        0.0196806,
        0.0197834,
        0.0199772,
        0.0200597,
        0.0203278,
        0.0199732,
        0.0200498,
        0.0206301,
        0.0205054,
        0.0199842,
        0.0199659,
        0.0200228,
        0.0202211,
        0.0203685,
        0.0204688,
        0.0208041,
        0.0213705,
        0.0220242,
        0.022621,
        0.023156,
        0.0234492,
        0.0232465,
        0.0226643,
        0.0222056,
        0.0224498,
        0.0222545,
        0.0213313,
        0.0210282,
        0.0208201,
        0.0218693,
        0.0222032,
        0.0204313,
        0.0202004,
        0.0201709,
        0.0201233,
        0.0200738,
        0.0200253,
        0.0200075,
        0.0199199,
        0.0199285,
        0.0198478,
        0.0198397,
        0.0197828,
        0.019751,
        0.0197644,
        0.0196643,
        0.0197542,
        0.0198887,
        0.0200058,
        0.0200539,
        0.0200055,
        0.0199002,
        0.0198617,
        0.021,
        0.0206746,
        0.0194338,
        0.01924,
        0.0191215,
        0.0190842,
        0.0190019,
        0.0189505,
        0.0191559,
        0.0191665,
        0.0190283,
        0.01905,
        0.0192653,
        0.0192848,
        0.0192613,
        0.0193446,
        0.0193983,
        0.0193988,
        0.0194254,
        0.0194594,
        0.0196143,
        0.0196864,
        0.0196534,
        0.0195831,
        0.0197816,
        0.0197217,
        0.0196633,
        0.019673,
        0.0198215,
        0.019785,
        0.0198013,
        0.0198455,
        0.0201028,
        0.0223065,
        0.0224742,
        0.0201024,
        0.0201261,
        0.0201452,
        0.0200923,
        0.0200081,
        0.0200077,
        0.0201557,
        0.0202358,
        0.0202369,
        0.0203445,
        0.0204823,
        0.0205102,
        0.0205023,
        0.0204624,
        0.0204423,
        0.0203167,
        0.0202754,
        0.0203268,
        0.0204736,
        0.0205425,
        0.0204595,
        0.0205003,
        0.0205663,
        0.0207084,
        0.0208371,
        0.0208757,
        0.0209979,
        0.0212639,
        0.0216639,
        0.0219834,
        0.0223227,
        0.02271,
        0.0232087,
        0.0237881,
        0.0245779,
        0.025427,
        0.0264101,
        0.0276867,
        0.0292661,
        0.0309477,
        0.032404,
        0.0337132,
        0.0345665,
        0.0360329,
        0.0386685,
        0.0415091,
        0.0451421,
        0.0514578,
        0.0659226,
        0.0797066,
        0.0961651,
        0.131552,
        0.176448,
        0.26551,
        0.169211,
        0.117805,
        0.0883795,
        0.070158,
        0.0579684,
        0.0494463,
        0.0437744,
        0.0395718,
        0.0363733,
        0.033861,
        0.0317816,
        0.030292,
        0.0305685,
        0.0285012,
        0.0265275,
        0.025669,
        0.0249563,
        0.0242365,
        0.0235958,
        0.0229798,
        0.0227067,
        0.0223347,
        0.0219604,
        0.0217603,
        0.021549,
        0.0212593,
        0.0209465,
        0.0207158,
        0.0206333,
        0.0206337,
        0.0205322,
        0.0204415,
        0.0203548,
        0.0202954,
        0.0203642,
        0.0202473,
        0.0200714,
        0.0199262,
        0.019761,
        0.0196615,
        0.0195661,
        0.0195266,
        0.0196003,
        0.0197158,
        0.019713,
        0.0197685,
        0.0198061,
        0.0198594,
        0.0197511,
        0.0197039,
        0.0197526,
        0.0197461,
        0.0197104,
        0.0196558,
        0.0195015,
        0.0194355,
        0.019418,
        0.0193372,
        0.0192899,
        0.0192355,
        0.0192152,
        0.0191647,
        0.0192067,
        0.0192765,
        0.0191693,
        0.0191451,
        0.0191354,
        0.0191769,
        0.0191634,
        0.0191216,
        0.0190499,
        0.0189339,
        0.0189093,
        0.0189097,
        0.018951,
        0.0189318,
        0.0189309,
        0.0189697,
        0.0189617,
        0.0189357,
        0.0187519,
        0.0188096,
        0.0187903,
        0.0187119,
        0.0188592,
        0.0191028,
        0.0203476,
        0.020695,
        0.0203526,
        0.0207437,
        0.0208996,
        0.0206227,
        0.0201888,
        0.0197902,
        0.0194823,
        0.0192783,
        0.0192183,
        0.0189388,
        0.0188787,
        0.0187835,
        0.0187442,
        0.0187906,
        0.0189106,
        0.0190605,
        0.0200023,
        0.0195676,
        0.0191499,
        0.0191911,
        0.0192112,
        0.0191479,
        0.019098,
        0.0191543,
        0.019392,
        0.0222389,
        0.0219938,
        0.0192111,
        0.0194433,
        0.0209046,
        0.0200351,
        0.0193162,
        0.0193176,
        0.0193134,
        0.0193641,
        0.0193695,
        0.019441,
        0.0196077,
        0.0198337,
        0.0197557,
        0.0198237,
        0.0199744,
        0.0200875,
        0.0202865,
        0.0203786,
        0.0205576,
        0.0216876,
        0.0219158,
        0.0214887,
        0.0220428,
        0.0227094,
        0.0232342,
        0.0240169,
        0.0252556,
        0.0256061,
        0.0261112,
        0.0281156,
        0.0285869,
        0.0279357,
        0.0273278,
        0.0251692,
        0.0244766,
        0.0240587,
        0.0239253,
        0.0233102,
        0.0226117,
        0.0224075,
        0.0221739,
        0.0220731,
        0.022116,
        0.0222336,
        0.0223698,
        0.0230953,
        0.0234956,
        0.0233347,
        0.0236542,
        0.0241735,
        0.0247809,
        0.0255485,
        0.0264537,
        0.0276891,
        0.0292176,
        0.0309478,
        0.0331481,
        0.0362894,
        0.0413026,
        0.0539423,
        0.0615712,
        0.0652568,
        0.0845335,
        0.117184,
        0.170612,
        0.274646,
        0.196153,
        0.131962,
        0.0933022,
        0.069514,
        0.0557551,
        0.0472259,
        0.0409031,
        0.0363347,
        0.0330182,
        0.0306525,
        0.0287729,
        0.0273155,
        0.0265958,
        0.0261022,
        0.0259683,
        0.0256951,
        0.0252094,
        0.0252051,
        0.0250154,
        0.0247811,
        0.0255429,
        0.0249385,
        0.0222807,
        0.021506,
        0.0210737,
        0.0207909,
        0.0207587,
        0.020534,
        0.0202727,
        0.0199681,
        0.0197988,
        0.0195564,
        0.0195267,
        0.0194518,
        0.0193613,
        0.0193668,
        0.0193456,
        0.0193403,
        0.0193684,
        0.0194389,
        0.0194151,
        0.019361,
        0.019278,
        0.0193371,
        0.0193901,
        0.0194175,
        0.0194691,
        0.0194259,
        0.0194161,
        0.0193887,
        0.0193338,
        0.019459,
        0.0200128,
        0.0203926,
        0.0197927,
        0.0197636,
        0.0196603,
        0.0194095,
        0.019185,
        0.0189658,
        0.0188038,
        0.0186692,
        0.0192449,
        0.0195119,
        0.0193849,
        0.0211855,
        0.0206532,
        0.0180762,
        0.0180279,
        0.0179679,
        0.0178027,
        0.0178473,
        0.0178691,
        0.0181818,
        0.0181704,
        0.017809,
        0.0175859,
        0.0175415,
        0.0180099,
        0.0176886,
        0.0179683,
        0.0179094,
        0.0174558,
        0.0175781,
        0.0175215,
        0.0175042,
        0.0175571,
        0.0176307,
        0.0179555,
        0.0179849,
        0.0189891,
        0.0192536,
        0.0179163,
        0.018008,
        0.018143,
        0.0181922,
        0.0183095,
        0.0183955,
        0.0184382,
        0.0184538,
        0.0184882,
        0.0183953,
        0.0182581,
        0.0181994,
        0.0181785,
        0.0182308,
        0.0182238,
        0.0181917,
        0.0183046,
        0.018384,
        0.0184843,
        0.0184188,
        0.0184195,
        0.0184159,
        0.0183666,
        0.0183613,
        0.0184629,
        0.0184871,
        0.0185999,
        0.0184276,
        0.018527,
        0.0186553,
        0.0184836,
        0.0192841,
        0.0191812,
        0.0185459,
        0.0186159,
        0.0187157,
        0.018921,
        0.019331,
        0.019658,
        0.0216477,
        0.021996,
        0.0201782,
        0.0199754,
        0.0205947,
        0.0195755,
        0.0187566,
        0.0185459,
        0.0183844,
        0.0186713,
        0.0211012,
        0.0202428,
        0.0181949,
        0.0182421,
        0.0189341,
        0.0187913,
        0.018478,
        0.0184675,
        0.0183431,
        0.0183063,
        0.0183889,
        0.0184731,
        0.0185107,
        0.0185637,
        0.0185989,
        0.0187277,
        0.0188543,
        0.018932,
        0.0189698,
        0.0189389,
        0.0191143,
        0.0191367,
        0.0191426,
        0.0191952,
        0.0193068,
        0.0194474,
        0.019405,
        0.0194017,
        0.0194638,
        0.0195139,
        0.0195106,
        0.0194849,
        0.0194812,
        0.0195186,
        0.019549,
        0.0197099,
        0.0205939,
        0.0201427,
        0.0197465,
        0.0202927,
        0.0204594,
        0.0198171,
        0.0200834,
        0.0202358,
        0.0204127,
        0.0207143,
        0.0212102,
        0.0215647,
        0.0216775,
        0.0217653,
        0.0216249,
        0.0212962,
        0.0208408,
        0.0203409,
        0.0200456,
        0.019818,
        0.0196422,
        0.0193933,
        0.0193393,
        0.0193908,
        0.0193952,
        0.019192,
        0.0191079,
        0.0191095,
        0.0190784,
        0.0191509,
        0.0191876,
        0.0199736,
        0.0201606,
        0.018969,
        0.0189926,
        0.0189688,
        0.0190077,
        0.018912,
        0.019064,
        0.020406,
        0.0204685,
        0.0191422,
        0.0191162,
        0.0192181,
        0.0206314,
        0.0210725,
        0.0193252,
        0.0193484,
        0.0193428,
        0.0193498,
        0.0194208,
        0.0195667,
        0.0210715,
        0.0205312,
        0.0194079,
        0.0193767,
        0.0194749,
        0.0196428,
        0.0197916,
        0.0199018,
        0.0198564,
        0.0198791,
        0.0197809,
        0.0197089,
        0.0197796,
        0.01993,
        0.0200468,
        0.0210974,
        0.0211841,
        0.0210192,
        0.0215426,
        0.0215812,
        0.0210949,
        0.020916,
        0.0205526,
        0.0200762,
        0.019765,
        0.0195869,
        0.0195971,
        0.0194461,
        0.0194053,
        0.0194843,
        0.0195677,
        0.0196944,
        0.0198074,
        0.0198586,
        0.0199947,
        0.0202986,
        0.0242256,
        0.0242473,
        0.0210211,
        0.0218688,
        0.0236141,
        0.0244592,
        0.0240372,
        0.0249643,
        0.0261882,
        0.0275259,
        0.0285485,
        0.0313853,
        0.0321934,
        0.0291715,
        0.028131,
        0.0271081,
        0.0260647,
        0.0249903,
        0.0242722,
        0.0236542,
        0.0235183,
        0.0234087,
        0.0234632,
        0.0236352,
        0.0244126,
        0.0261073,
        0.0263853,
        0.0249611,
        0.0252431,
        0.0253525,
        0.0254734,
        0.0253285,
        0.0247909,
        0.0244161,
        0.0238982,
        0.0231886,
        0.0225608,
        0.0221333,
        0.0219541,
        0.0246663,
        0.0242158,
        0.0209793,
        0.020806,
        0.0207129,
        0.0224399,
        0.0219607,
        0.020216,
        0.0200118,
        0.0198588,
        0.0197585,
        0.0197107,
        0.0196976,
        0.0205876,
        0.020596,
        0.0194532,
        0.0194033,
        0.0192938,
        0.0193624,
        0.0193129,
        0.019266,
        0.0193052,
        0.0188863,
        0.0191441,
        0.0192002,
        0.0191327,
        0.0191801,
        0.0191468,
        0.0192919,
        0.0195145,
        0.0194357,
        0.0194826,
        0.0197911,
        0.0198778,
        0.0197022,
        0.0198099,
        0.0200993,
        0.0199376,
        0.020307,
        0.020564,
        0.0202665,
        0.0204041,
        0.0205121,
        0.0207724,
        0.0216256,
        0.0217907,
        0.0211433,
        0.0212012,
        0.0211009,
        0.0212642,
        0.0212442,
        0.0214487,
        0.0215407,
        0.0219167,
        0.022207,
        0.0225988,
        0.0230595,
        0.0236275,
        0.0248868,
        0.0251648,
        0.0255844,
        0.0262645,
        0.0265496,
        0.0270772,
        0.0275808,
        0.0281488,
        0.028798,
        0.0299621,
        0.031726,
        0.0340004,
        0.0366926,
        0.0405362,
        0.0460341,
        0.0537479,
        0.0636577,
        0.0778912,
        0.0998704,
        0.128444,
        0.157485,
        0.182447,
        0.173956,
        0.143942,
        0.114889,
        0.0905038,
        0.0719649,
        0.0650772,
        0.0529409,
        0.0441939,
        0.0397771,
        0.0364738,
        0.033758,
        0.0317154,
        0.0305278,
        0.0292291,
        0.0282779,
        0.0276679,
        0.0271595,
        0.0270397,
        0.0271031,
        0.0274274,
        0.0277341,
        0.0276999,
        0.0280403,
        0.0284643,
        0.0286959,
        0.0293733,
        0.0303898,
        0.03167,
        0.0337201,
        0.0365263,
        0.0406029,
        0.0458354,
        0.0535244,
        0.0651595,
        0.0806774,
        0.0965187,
        0.104557,
        0.0951551,
        0.0784625,
        0.0629066,
        0.0507305,
        0.0428823,
        0.0377722,
        0.0341687,
        0.0312495,
        0.0290503,
        0.0272708,
        0.0259837,
        0.0246324,
        0.0246124,
        0.0275245,
        0.0254364,
        0.0219171,
        0.0216348,
        0.0211233,
        0.0208276,
        0.021617,
        0.0218474,
        0.0201166,
        0.0202806,
        0.019924,
        0.021026,
        0.0206906,
        0.0195554,
        0.0194018,
        0.019496,
        0.019457,
        0.0194974,
        0.0193687,
        0.0192682,
        0.019293,
        0.0192415,
        0.019062,
        0.0190807,
        0.0193627,
        0.0190674,
        0.0190774,
        0.0189583,
        0.0190795,
        0.0190899,
        0.0191632,
        0.0192327,
        0.0193392,
        0.0193658,
        0.0191345,
        0.0191569,
        0.0192401,
        0.0192008,
        0.019078,
        0.019131,
        0.0191042,
        0.0191118,
        0.0194432,
        0.0195389,
        0.0191853,
        0.0192674,
        0.0195151,
        0.0196224,
        0.0197703,
        0.0200243,
        0.0197846,
        0.0220275,
        0.0217696,
        0.0195622,
        0.0192679,
        0.0189946,
        0.0188197,
        0.0185201,
        0.0182708,
        0.018239,
        0.0182316,
        0.0180933,
        0.0180372,
        0.0178985,
        0.0179189,
        0.0204643,
        0.0201617,
        0.0177707,
        0.0177371,
        0.0177734,
        0.0177986,
        0.0179316,
        0.0178676,
        0.017634,
        0.017637,
        0.0176716,
        0.0178074,
        0.0178978,
        0.0178628,
        0.0178363,
        0.0179727,
        0.0180859,
        0.0180796,
        0.0181415,
        0.0182436,
        0.0184184,
        0.0186396,
        0.0185663,
        0.0186389,
        0.018648,
        0.0188716,
        0.0215676,
        0.021567,
        0.0188632,
        0.0187507,
        0.0189938,
        0.0191694,
        0.019163,
        0.0190959,
        0.0192477,
        0.0194022,
        0.0193855,
        0.0194246,
        0.0194672,
        0.0194798,
        0.019462,
        0.0194293,
        0.0194021,
        0.0193909,
        0.0192928,
        0.0191614,
        0.0192212,
        0.0217039,
        0.0214835,
        0.0191849,
        0.0194152,
        0.0193621,
        0.0192066,
        0.0199363,
        0.0199885,
        0.0192035,
        0.019333,
        0.0194373,
        0.0195744,
        0.0196266,
        0.0196219,
        0.0197611,
        0.019786,
        0.0198684,
        0.0200567,
        0.0201866,
        0.0204071,
        0.0206029,
        0.0208815,
        0.0213203,
        0.0218773,
        0.022136,
        0.0227897,
        0.0234578,
        0.0244723,
        0.0252527,
        0.0258062,
        0.0267703,
        0.0276533,
        0.0286563,
        0.0295385,
        0.0302772,
        0.0312519,
        0.0320243,
        0.0323378,
        0.03257,
        0.0328965,
        0.0335645,
        0.0347138,
        0.0370261,
        0.0383631,
        0.0405264,
        0.0438248,
        0.0474631,
        0.051629,
        0.0577824,
        0.0666717,
        0.0796051,
        0.0997578,
        0.129886,
        0.178099,
        0.256373,
        0.182132,
        0.130276,
        0.0985942,
        0.0785834,
        0.0662672,
        0.0619285,
        0.0550836,
        0.0439701,
        0.040244,
        0.037003,
        0.0345832,
        0.0325936,
        0.0309143,
        0.0291576,
        0.0280146,
        0.0274535,
        0.0264087,
        0.025222,
        0.0246999,
        0.0246667,
        0.0240829,
        0.0230937,
        0.0227077,
        0.0225158,
        0.0250983,
        0.0243955,
        0.0215631,
        0.0214334,
        0.0213501,
        0.0211496,
        0.0210121,
        0.0208949,
        0.020832,
        0.0207275,
        0.0220893,
        0.0215812,
        0.0203078,
        0.0202409,
        0.0201542,
        0.0201474,
        0.0201929,
        0.0201985,
        0.0203243,
        0.0203651,
        0.0205084,
        0.020664,
        0.0203555,
        0.0200982,
        0.0201486,
        0.0202071,
        0.0203081,
        0.0203226,
        0.0204703,
        0.0204376,
        0.0204181,
        0.0205165,
        0.0206667,
        0.0208719,
        0.0214416,
        0.0239126,
        0.023231,
        0.0213654,
        0.0218209,
        0.0221147,
        0.0227811,
        0.0233847,
        0.0241689,
        0.0253868,
        0.0264391,
        0.0273926,
        0.0285694,
        0.0295005,
        0.0297164,
        0.0294431,
        0.0289048,
        0.0280071,
        0.0272777,
        0.0263792,
        0.025152,
        0.0239845,
        0.0234824,
        0.0228771,
        0.022403,
        0.0221292,
        0.0217591,
        0.0215052,
        0.0213005,
        0.0207853,
        0.0203828,
        0.0201043,
        0.0200812,
        0.0198128,
        0.0194993,
        0.0193264,
        0.0193797,
        0.0194573,
        0.0195088,
        0.0193815,
        0.0192647,
        0.0198586,
        0.0193056,
        0.0187485,
        0.0188108,
        0.0189803,
        0.0189276,
        0.0189242,
        0.0192848,
        0.0192111,
        0.0193138,
        0.0195262,
        0.0192877,
        0.0192695,
        0.0195104,
        0.0197263,
        0.0198128,
        0.0196573,
        0.0197893,
        0.0196717,
        0.0200053,
        0.0203838,
        0.0204739,
        0.0203162,
        0.0200943,
        0.0198911,
        0.0196624,
        0.0193802,
        0.0192192,
        0.0189797,
        0.0186254,
        0.0184741,
        0.0185527,
        0.0184379,
        0.0190311,
        0.018883,
        0.0184189,
        0.0183205,
        0.0184767,
        0.018719,
        0.0183681,
        0.0180092,
        0.0180329,
        0.0179079,
        0.0178991,
        0.0180102,
        0.0189763,
        0.0189038,
        0.0182533,
        0.0183319,
        0.0183739,
        0.0185917,
        0.0206255,
        0.020139,
        0.0185393,
        0.0184369,
        0.0185306,
        0.0185318,
        0.0185995,
        0.0187695,
        0.0188948,
        0.0192001,
        0.0195711,
        0.0198601,
        0.0201095,
        0.0203753,
        0.0217482,
        0.0235892,
        0.0221396,
        0.0199905,
        0.0198234,
        0.0193698,
        0.0192593,
        0.0193117,
        0.0192862,
        0.0193432,
        0.0193804,
        0.0192449,
        0.0191566,
        0.0189578,
        0.0190179,
        0.0191124,
        0.0193088,
        0.0192719,
        0.0195275,
        0.0195092,
        0.0195081,
        0.0194506,
        0.0194971,
        0.0192571,
        0.0192272,
        0.0192754,
        0.019198,
        0.0192037,
        0.0189517,
        0.0188422,
        0.0186661,
        0.0187763,
        0.0188427,
        0.0185844,
        0.0184444,
        0.0184493,
        0.0186642,
        0.0188527,
        0.0186724,
        0.0184785,
        0.0183744,
        0.0185266,
        0.0200051,
        0.0203514,
        0.018388,
        0.0185393,
        0.0186175,
        0.0186243,
        0.0186904,
        0.0185366,
        0.0185778,
        0.0209856,
        0.0208899,
        0.01883,
        0.0187196,
        0.0188284,
        0.0189074,
        0.0190769,
        0.0189703,
        0.0190716,
        0.0191572,
        0.0192624,
        0.0193722,
        0.0192942,
        0.0193482,
        0.0192817,
        0.0194798,
        0.019712,
        0.0197102,
        0.0198628,
        0.0196522,
        0.0198792,
        0.019756,
        0.0198546,
        0.0200446,
        0.020121,
        0.0201642,
        0.020235,
        0.0204434,
        0.0204521,
        0.0208496,
        0.0209352,
        0.0208967,
        0.0207484,
        0.0205307,
        0.0203162,
        0.0202531,
        0.0199896,
        0.0197792,
        0.0195337,
        0.0196254,
        0.021505,
        0.0213451,
        0.0194048,
        0.0192989,
        0.0192932,
        0.0192802,
        0.0191312,
        0.0191303,
        0.0190991,
        0.0189853,
        0.0189401,
        0.0189063,
        0.0188621,
        0.0191555,
        0.0191464,
        0.0189049,
        0.0189001,
        0.0190003,
        0.0190965,
        0.0191705,
        0.019187,
        0.0192197,
        0.0190079,
        0.0192746,
        0.0193652,
        0.019201,
        0.019137,
        0.0197435,
        0.0196184,
        0.0194602,
        0.0201692,
        0.0200474,
        0.0197216,
        0.0196596,
        0.0196212,
        0.0196535,
        0.0197204,
        0.0199704,
        0.0198268,
        0.0198401,
        0.0199293,
        0.0199789,
        0.0198984,
        0.0201423,
        0.0205114,
        0.0208153,
        0.0225716,
        0.0213915,
        0.0208457,
        0.0206073,
        0.0206659,
        0.0205673,
        0.020528,
        0.0204416,
        0.0202971,
        0.0204451,
        0.020604,
        0.0219016,
        0.0220295,
        0.0233205,
        0.0229677,
        0.0204625,
        0.0202125,
        0.0200618,
        0.0200762,
        0.0199285,
        0.0200402,
        0.0200505,
        0.0200378,
        0.0204043,
        0.0200546,
        0.0201204,
        0.0199968,
        0.0199607,
        0.020114,
        0.0201595,
        0.0223246,
        0.0221925,
        0.0198927,
        0.0199514,
        0.0201353,
        0.0204698,
        0.0201831,
        0.0199691,
        0.0199751,
        0.020106,
        0.0202298,
        0.020286,
        0.0203961,
        0.0204484,
        0.0205247,
        0.0205098,
        0.0206855,
        0.0209565,
        0.0211238,
        0.0216573,
        0.0214266,
        0.02135,
        0.0213076,
        0.0213283,
        0.0215761,
        0.0216665,
        0.0217649,
        0.0216847,
        0.0218904,
        0.0221703,
        0.0224089,
        0.0228246,
        0.0233109,
        0.0234769,
        0.0239839,
        0.0240978,
        0.0243456,
        0.0248938,
        0.0258384,
        0.0264576,
        0.0266904,
        0.0272748,
        0.0279269,
        0.0287074,
        0.0286621,
        0.0280138,
        0.0272625,
        0.026406,
        0.0257185,
        0.0250795,
        0.0244581,
        0.0237609,
        0.0235722,
        0.0231723,
        0.0227538,
        0.0225476,
        0.0223754,
        0.0221267,
        0.0219651,
        0.0221199,
        0.0218354,
        0.0214654,
        0.0212529,
        0.0211032,
        0.021123,
        0.0210604,
        0.0210452,
        0.0210887,
        0.0208482,
        0.0208342,
        0.0209055,
        0.0209293,
        0.0210134,
        0.0220671,
        0.0218022,
        0.0214356,
        0.0213588,
        0.021323,
        0.0215991,
        0.024129,
        0.0225118,
        0.0211757,
        0.0211907,
        0.0212661,
        0.0213805,
        0.0212847,
        0.0212346,
        0.0213818,
        0.0215575,
        0.0219536,
        0.0219372,
        0.0216893,
        0.0217596,
        0.0217403,
        0.021775,
        0.021688,
        0.0220587,
        0.0219645,
        0.0221149,
        0.0222284,
        0.0222974,
        0.0221885,
        0.0223545,
        0.0225458,
        0.0224066,
        0.0222182,
        0.0222396,
        0.0221503,
        0.0220214,
        0.0237364,
        0.0233643,
        0.0220014,
        0.0220286,
        0.0218889,
        0.0216903,
        0.0218653,
        0.0220277,
        0.0217571,
        0.021694,
        0.0219131,
        0.0221749,
        0.0221972,
        0.0222521,
        0.0219635,
        0.0222687,
        0.022477,
        0.0225692,
        0.0229083,
        0.0232689,
        0.0232731,
        0.0234795,
        0.0233822,
        0.0233029,
        0.0232988,
        0.0233881,
        0.0231396,
        0.022839,
        0.0228686,
        0.0229564,
        0.0228991,
        0.0228384,
        0.0227527,
        0.0226756,
        0.0225903,
        0.0224515,
        0.022557,
        0.0225383,
        0.022794,
        0.02285,
        0.0227202,
        0.0226875,
        0.0227089,
        0.0227182,
        0.0228845,
        0.0229197,
        0.0229129,
        0.0230174,
        0.0229561,
        0.0230991,
        0.0229591,
        0.0232022,
        0.0231996,
        0.0232339,
        0.0233053,
        0.02338,
        0.0234634,
        0.0236916,
        0.0246415,
        0.0246466,
        0.024227,
        0.0242673,
        0.0240253,
        0.023891,
        0.023994,
        0.0242506,
        0.0323192,
        0.0314294,
        0.0238087,
        0.02392,
        0.0230203,
        0.0229309,
        0.0228988,
        0.0227602,
        0.0227258,
        0.022778,
        0.0226933,
        0.0225924,
        0.0227874,
        0.0227032,
        0.0224555,
        0.0225288,
        0.0223272,
        0.0225689,
        0.0234372,
        0.0240923,
        0.0236841,
        0.0267199,
        0.026222,
        0.0229233,
        0.0230503,
        0.0230124,
        0.0234013,
        0.0232903,
        0.0237846,
        0.0237649,
        0.0232758,
        0.02329,
        0.0233977,
        0.0236942,
        0.0241391,
        0.024934,
        0.0245793,
        0.0248448,
        0.0251624,
        0.0258848,
        0.0260304,
        0.0260323,
        0.0260113,
        0.0257792,
        0.0264857,
        0.0258587,
        0.025299,
        0.0250013,
        0.0248799,
        0.0246918,
        0.0248426,
        0.0250261,
        0.0249304,
        0.0248573,
        0.0250719,
        0.0251579,
        0.0252636,
        0.0256333,
        0.0255814,
        0.0253335,
        0.0250754,
        0.0251867,
        0.0250549,
        0.0249451,
        0.0248466,
        0.0247628,
        0.0246999,
        0.0245997,
        0.0244304,
        0.0245474,
        0.0243102,
        0.0242963,
        0.024303,
        0.0242521,
        0.0240263,
        0.0241629,
        0.0241411,
        0.0241146,
        0.0241647,
        0.0242015,
        0.024417,
        0.0241114,
        0.0239917,
        0.0238479,
        0.0239682,
        0.0238857,
        0.0242424,
        0.0241147,
        0.024056,
        0.0239743,
        0.0239799,
        0.02404,
        0.0241803,
        0.0242184,
        0.0243736,
        0.0247035,
        0.0253213,
        0.0279811,
        0.0277245,
        0.024971,
        0.0249609,
        0.0248968,
        0.0249691,
        0.0252367,
        0.0255224,
        0.0254824,
        0.0255939,
        0.0255358,
        0.0257621,
        0.0258354,
        0.0259226,
        0.0259607,
        0.0262503,
        0.0262557,
        0.0264259,
        0.0265483,
        0.0263934,
        0.0266472,
        0.0268335,
        0.026593,
        0.0266708,
        0.0266593,
        0.0266406,
        0.0264228,
        0.0267533,
        0.0267386,
        0.0270073,
        0.0311969,
        0.0307098,
        0.027316,
        0.0278729,
        0.0276699,
        0.0278072,
        0.0273121,
        0.0270024,
        0.0268923,
        0.0268518,
        0.0270913,
        0.0271784,
        0.0271063,
        0.0269417,
        0.0273714,
        0.0276098,
        0.0274108,
        0.0276724,
        0.0280226,
        0.0282747,
        0.0282229,
        0.0288242,
        0.0289194,
        0.0290746,
        0.0294503,
        0.0300569,
        0.030124,
        0.0303848,
        0.0310817,
        0.0317101,
        0.0322411,
        0.0326802,
        0.0344033,
        0.0368988,
        0.0398249,
        0.0426431,
        0.0454709,
        0.0489342,
        0.0489895,
        0.0455417,
        0.0430915,
        0.0406766,
        0.0385961,
        0.0366141,
        0.0351579,
        0.0339108,
        0.0337805,
        0.0338814,
        0.0336193,
        0.0332629,
        0.0335599,
        0.0336469,
        0.033697,
        0.0335407,
        0.0338267,
        0.0346318,
        0.0351314,
        0.0352938,
        0.0359428,
        0.0369408,
        0.0386822,
        0.0426153,
        0.0430965,
        0.0403818,
        0.0416602,
        0.0430579,
        0.0447504,
        0.0473276,
        0.0506335,
        0.063324,
        0.0680695,
        0.064792,
        0.0743437,
        0.0888919,
        0.107067,
        0.135907,
        0.192615,
        0.257121,
        0.221366,
        0.227804,
        0.249345,
        0.30419,
        0.232961,
        0.166954,
        0.13251,
        0.108316,
        0.0911388,
        0.0797676,
        0.0712287,
        0.065849,
        0.0625174,
        0.063009,
        0.0582834,
        0.0507095,
        0.0492078,
        0.0482841,
        0.046622,
        0.0458596,
        0.0447452,
        0.0434728,
        0.0424266,
        0.0418119,
        0.0404009,
        0.0398118,
        0.0393057,
        0.0386411,
        0.0377606,
        0.0374259,
        0.037579,
        0.0364647,
        0.0360961,
        0.0362061,
        0.0358477,
        0.0350234,
        0.0350763,
        0.0349289,
        0.0344891,
        0.0347411,
        0.0352307,
        0.0348251,
        0.033858,
        0.032998,
        0.0327813,
        0.0322991,
        0.0320532,
        0.0322014,
        0.0319765,
        0.031593,
        0.0311223,
        0.0307558,
        0.0309108,
        0.0311676,
        0.0310187,
        0.0307362,
        0.0307611,
        0.0305715,
        0.030548,
        0.0311988,
        0.0330337,
        0.031982,
        0.0313762,
        0.0305704,
        0.0305252,
        0.0304514,
        0.0306104,
        0.0306215,
        0.0312639,
        0.0312457,
        0.0309865,
        0.031107,
        0.0308915,
        0.0308279,
        0.0311481,
        0.031116,
        0.0314948,
        0.0359057,
        0.0350486,
        0.0312081,
        0.0313966,
        0.0320595,
        0.0322467,
        0.0323331,
        0.0323139,
        0.0346728,
        0.0347128,
        0.0323593,
        0.0326266,
        0.0326484,
        0.0330126,
        0.0329901,
        0.032693,
        0.0325174,
        0.0325193,
        0.0325013,
        0.0329068,
        0.0332884,
        0.0332333,
        0.0332712,
        0.0330411,
        0.0330704,
        0.0332238,
        0.0333723,
        0.0345202,
        0.0401061,
        0.0366824,
        0.0335019,
        0.0334137,
        0.0335768,
        0.0339402,
        0.0340075,
        0.0339035,
        0.0340713,
        0.0341287,
        0.0344983,
        0.0349312,
        0.0354061,
        0.0357465,
        0.0362163,
        0.0365828,
        0.0372939,
        0.0381452,
        0.0391838,
        0.0404781,
        0.0433691,
        0.0459693,
        0.044969,
        0.0484473,
        0.0576401,
        0.0603245,
        0.0588623,
        null,
        0.053318,
        0.0511174,
        0.0482316,
        0.0450438,
        0.0420795,
        0.0394318,
        0.0370737,
        0.0352848,
        0.0339758,
        0.033002,
        0.0321555,
        0.0317824,
        0.0315019,
        0.0309906,
        0.0306585,
        0.0307339,
        0.0307559,
        0.0305859,
        0.0306208,
        0.0308647,
        0.0313055,
        0.0332429,
        0.0333858,
        0.0318444,
        0.032118,
        0.0323636,
        0.032804,
        0.0333474,
        0.0338579,
        0.0345093,
        0.0351884,
        0.0359398,
        0.0370472,
        0.0379154,
        0.0388775,
        0.0401411,
        0.0417053,
        0.0435682,
        0.0458691,
        0.048423,
        0.05154,
        0.0555537,
        0.0609632,
        0.0679322,
        0.0772118,
        0.0897786,
        0.1094,
        0.142834,
        0.195848,
        0.284533,
        0.172332,
        0.13322,
        0.108074,
        0.0900478,
        0.0778681,
        0.0697742,
        0.063279,
        0.0581188,
        0.0561338,
        0.0513683,
        0.0462864,
        0.0439517,
        0.0419328,
        0.0400779,
        0.0385349,
        0.037347,
        0.0362203,
        0.0354014,
        0.0345431,
        0.0335793,
        0.0330166,
        0.0338701,
        0.0327764,
        0.0314682,
        0.0311031,
        0.0308295,
        0.0305119,
        0.0315866,
        0.0314806,
        0.0299912,
        0.0299574,
        0.0298731,
        0.0298293,
        0.0299167,
        0.0299639,
        0.0301188,
        0.0302923,
        0.0305512,
        0.0310527,
        0.0318617,
        0.0325939,
        0.0333368,
        0.0345266,
        0.0359198,
        0.0379923,
        0.0406721,
        0.0449833,
        0.0504119,
        0.0582352,
        0.0689458,
        0.0853344,
        0.118308,
        0.169421,
        0.227603,
        0.158969,
        0.114734,
        0.0869815,
        0.0697761,
        0.0581353,
        0.0504783,
        0.0453608,
        0.0414696,
        0.0381295,
        0.035516,
        0.0336807,
        0.0320962,
        0.0309647,
        0.0299768,
        0.029138,
        0.028529,
        0.0278518,
        0.0271138,
        0.0266697,
        0.0263312,
        0.0258866,
        0.0256352,
        0.0252153,
        0.024807,
        0.024697,
        0.0244776,
        0.0241402,
        0.0239825,
        0.0237737,
        0.023654,
        0.0234389,
        0.0232973,
        0.02322,
        0.0230906,
        0.0228973,
        0.0227643,
        0.0225913,
        0.0224847,
        0.0229183,
        0.022579,
        0.0220814,
        0.0221404,
        0.0220233,
        0.0218306,
        0.0217512,
        0.0216528,
        0.0216109,
        0.0216378,
        0.0215103,
        0.0213516,
        0.0214879,
        0.0215439,
        0.0212234,
        0.0211648,
        0.0210907,
        0.0210722,
        0.0210176,
        0.0210549,
        0.0210359,
        0.021083,
        0.0212728,
        0.0214489,
        0.0215482,
        0.021471,
        0.0213664,
        0.0213597,
        0.0217014,
        0.0253617,
        0.0270678,
        0.0231178,
        0.0214357,
        0.021398,
        0.0213994,
        0.0213542,
        0.0214525,
        0.0242836,
        0.0241883,
        0.0213474,
        0.0213133,
        0.0217035,
        0.0212222,
        0.0209331,
        0.0212979,
        0.021141,
        0.0207381,
        0.020686,
        0.0206176,
        0.0205224,
        0.0204397,
        0.0203791,
        0.0203294,
        0.0202754,
        0.0202296,
        0.0200945,
        0.0200117,
        0.0200546,
        0.0200681,
        0.0200917,
        0.0200329,
        0.0201639,
        0.0202321,
        0.0202744,
        0.020296,
        0.0203864,
        0.0202121,
        0.020122,
        0.0200283,
        0.020026,
        0.0201698,
        0.0202778,
        0.0208672,
        0.0213966,
        0.024946,
        0.0248286,
        0.0212399,
        0.0218746,
        0.0218011,
        0.0211164,
        0.020919,
        0.0207108,
        0.0206185,
        0.0206092,
        0.020679,
        0.0208694,
        0.021439,
        0.0218137,
        0.0221,
        0.0224072,
        0.0226013,
        0.0227205,
        0.022745,
        0.0225109,
        0.0222036,
        0.0218502,
        0.0213187,
        0.020927,
        0.0207982,
        0.0220749,
        0.0222512,
        0.0206264,
        0.0199939,
        0.0200397,
        0.0199213,
        0.0197642,
        0.0197199,
        0.019673,
        0.0196102,
        0.0196471,
        0.0196276,
        0.0195023,
        0.0193947,
        0.0194622,
        0.0194855,
        0.019425,
        0.0193653,
        0.0192279,
        0.0192103,
        0.0192321,
        0.019254,
        0.0192708,
        0.0192735,
        0.0192392,
        0.0192374,
        0.0193758,
        0.0195137,
        0.019531,
        0.0195772,
        0.0194348,
        0.0195292,
        0.0196272,
        0.0194783,
        0.019335,
        0.0192276,
        0.0191016,
        0.019216,
        0.0191071,
        0.0193935,
        0.019494,
        0.0194613,
        0.0195476,
        0.019576,
        0.0195435,
        0.0195656,
        0.0197389,
        0.0199859,
        0.0201402,
        0.0200787,
        0.0198158,
        0.0197524,
        0.0197058,
        0.0197819,
        0.0211989,
        0.0212733,
        0.0217051,
        0.0215999,
        0.0194002,
        0.0194105,
        0.0193659,
        0.0193645,
        0.0193994,
        0.0193527,
        0.0192859,
        0.0195359,
        0.0194581,
        0.0193673,
        0.022001,
        0.0216573,
        0.0188225,
        0.0187854,
        0.0186888,
        0.0187586,
        0.0189061,
        0.0191212,
        0.0193896,
        0.0194623,
        0.0192967,
        0.0190101,
        0.0190285,
        0.0190476,
        0.0189921,
        0.018947,
        0.0187801,
        0.0186256,
        0.0186149,
        0.0186749,
        0.0187728,
        0.0188886,
        0.019112,
        0.0189667,
        0.0189448,
        0.0192175,
        0.0192496,
        0.0190362,
        0.0191236,
        0.0190572,
        0.0189107,
        0.0188801,
        0.0188394,
        0.0189009,
        0.018998,
        0.0188294,
        0.0189583,
        0.0190652,
        0.0189547,
        0.0191139,
        0.0193777,
        0.0194476,
        0.0194558,
        0.0195534,
        0.0198762,
        0.0201071,
        0.0201552,
        0.0204777,
        0.0202699,
        0.0200093,
        0.0223627,
        0.0218793,
        0.0189024,
        0.0189152,
        0.0192638,
        0.0219477,
        0.0215846,
        0.0187348,
        0.0187177,
        0.0187363,
        0.0187375,
        0.0188187,
        0.0189865,
        0.019419,
        0.0197127,
        0.0195189,
        0.0190787,
        0.0187357,
        0.0187572,
        0.0189452,
        0.0191378,
        0.0189365,
        0.018868,
        0.0187454,
        0.0186529,
        0.0187211,
        0.0189728,
        0.0194472,
        0.0200746,
        0.0200599,
        0.0198494,
        0.0196137,
        0.0202016,
        0.0195113,
        0.0188419,
        0.0189098,
        0.0188933,
        0.0196828,
        0.0197188,
        0.0190789,
        0.0190514,
        0.0191008,
        0.0191613,
        0.0192664,
        0.019291,
        0.0193399,
        0.0192535,
        0.0191328,
        0.0191671,
        0.019325,
        0.0195341,
        0.019558,
        0.0192889,
        0.0190907,
        0.0189767,
        0.0190104,
        0.0212393,
        0.0209097,
        0.0185454,
        0.0185054,
        0.0185867,
        0.0189506,
        0.0190077,
        0.0189603,
        0.018692,
        0.0185964,
        0.0184476,
        0.0184527,
        0.0185261,
        0.0186777,
        0.0189215,
        0.0196067,
        0.0201592,
        0.0204246,
        0.0198321,
        0.0188985,
        0.0186104,
        0.0187197,
        0.0190592,
        0.0193942,
        0.0197786,
        0.01974,
        0.0192341,
        0.0187814,
        0.0186422,
        0.018761,
        0.0191174,
        0.0193938,
        0.019554,
        0.0193726,
        0.019024,
        0.0190541,
        0.0193625,
        0.0193392,
        0.0192808,
        0.0191458,
        0.0189629,
        0.0190441,
        0.0203898,
        0.0202486,
        0.0200851,
        0.0231983,
        0.0226552,
        0.0194922,
        0.0192343,
        0.0197174,
        0.0195174,
        0.0194098,
        0.0198319,
        0.0200555,
        0.0197909,
        0.0194698,
        0.0194991,
        0.0194933,
        0.0195337,
        0.0194537,
        0.0192748,
        0.0191575,
        0.0191669,
        0.0192163,
        0.0193089,
        0.019573,
        0.019915,
        0.0203644,
        0.0208342,
        0.0207917,
        0.0202737,
        0.0197174,
        0.0196029,
        0.0197711,
        0.020031,
        0.0202858,
        0.0209509,
        0.0223954,
        0.0217206,
        0.0198886,
        0.019662,
        0.0196596,
        0.0199769,
        0.0201548,
        0.0203822,
        0.020621,
        0.0210241,
        0.0215029,
        0.0219222,
        0.0222934,
        0.0227246,
        0.0234067,
        0.024623,
        0.0256166,
        0.0271213,
        0.0296532,
        0.0319128,
        0.0333403,
        0.035754,
        0.0383847,
        0.0442011,
        0.0477358,
        0.051604,
        0.0571466,
        0.0654297,
        0.0806056,
        0.107976,
        0.168112,
        0.254088,
        0.168776,
        0.117067,
        0.0869116,
        0.0689308,
        0.0568525,
        0.0491529,
        0.0428723,
        0.038304,
        0.0357354,
        0.0335974,
        0.0311371,
        0.0298932,
        0.0293108,
        0.0288527,
        0.0283611,
        0.0278405,
        0.0273627,
        0.026166,
        0.0247373,
        0.0237195,
        0.0229757,
        0.0226308,
        0.0224281,
        0.0223017,
        0.0222005,
        0.0219008,
        0.0214682,
        0.0209868,
        0.0207643,
        0.0209667,
        0.0211808,
        0.0216737,
        0.024063,
        0.0240159,
        0.0211976,
        0.020553,
        0.0201951,
        0.0197216,
        0.0195224,
        0.0194399,
        0.0194348,
        0.0195382,
        0.0198738,
        0.0201826,
        0.0202589,
        0.0203309,
        0.0202046,
        0.0200373,
        0.0200392,
        0.0200188,
        0.0199815,
        0.0201759,
        0.0202672,
        0.0198942,
        0.0197996,
        0.0201119,
        0.0205284,
        0.0209097,
        0.0211486,
        0.0227511,
        0.0214856,
        0.0206769,
        0.0211928,
        0.0220359,
        0.0228657,
        0.0233806,
        0.0234311,
        0.0233017,
        0.0230685,
        0.0229205,
        0.0235901,
        0.0256497,
        0.0246256,
        0.0234281,
        0.0232672,
        0.0229155,
        0.0225646,
        0.0223386,
        0.0218651,
        0.0210493,
        0.020312,
        0.019594,
        0.0188715,
        0.0188831,
        0.0211254,
        0.0206632,
        0.018432,
        0.0186619,
        0.0191388,
        0.0195336,
        0.0199207,
        0.0198449,
        0.0192306,
        0.0185546,
        0.0183043,
        0.018547,
        0.018744,
        0.0185402,
        0.0186879,
        0.0187917,
        0.018667,
        0.0189847,
        0.0192971,
        0.0196846,
        0.0197011,
        0.0194356,
        0.0189829,
        0.0187483,
        0.0190033,
        0.0194261,
        0.0198184,
        0.019863,
        0.0193688,
        0.0191283,
        0.0208138,
        0.0213826,
        0.0203839,
        0.0208224,
        0.0226832,
        0.0228153,
        0.0232954,
        0.0221262,
        0.0221123,
        0.020528,
        0.0183395,
        0.0182944,
        0.0182295,
        0.0180148,
        0.0179258,
        0.0178631,
        0.0181574,
        0.0183591,
        0.0183713,
        0.0183253,
        0.0179337,
        0.0177868,
        0.0188146,
        0.0188537,
        0.01753,
        0.0175759,
        0.0173778,
        0.0183117,
        0.0186687,
        0.0183252,
        0.0187436,
        0.0190358,
        0.0190983,
        0.0191746,
        0.0191823,
        0.0194398,
        0.019497,
        0.0193315,
        0.0195343,
        0.02046,
        0.0231609,
        0.0254428,
        0.02485,
        0.0243672,
        0.0229645,
        0.0218357,
        0.0218612,
        0.0226701,
        0.0228027,
        0.0222141,
        0.0239116,
        0.0223352,
        0.0206516,
        0.0212769,
        0.0220003,
        0.0229937,
        0.023702,
        0.022953,
        0.0212149,
        0.0198735,
        0.0193707,
        0.0191072,
        0.019036,
        0.0188976,
        0.0188972,
        0.0188587,
        0.019188,
        0.0190942,
        0.0195987,
        0.0198675,
        0.0199852,
        0.020662,
        0.0214884,
        0.0223294,
        0.0229449,
        0.0232653,
        0.0224977,
        0.0214281,
        0.0219491,
        0.0226448,
        0.0229327,
        0.0226679,
        0.02197,
        0.0214511,
        0.0213436,
        0.0218209,
        0.0225776,
        0.0242936,
        0.0263673,
        0.0278839,
        0.0307358,
        0.0352113,
        0.041122,
        0.0481403,
        0.0548329,
        0.0600113,
        0.0644264,
        0.0683082,
        0.0709716,
        0.0731397,
        0.0756558,
        0.0811222,
        0.0873681,
        0.0912489,
        0.0885473,
        0.0809101,
        0.0737022,
        0.0689233,
        0.0667963,
        0.0631295,
        0.0600049,
        0.064123,
        0.0618864,
        0.057719,
        0.0560945,
        0.0566094,
        0.0606078,
        0.0626751,
        0.0610064,
        0.0576832,
        0.0551622,
        0.0538602,
        0.0534777,
        0.0513896,
        0.0478163,
        0.0454652,
        0.047653,
        0.0470077,
        0.0432104,
        0.0423414,
        0.0490611,
        0.0497991,
        0.0439702,
        0.0436369,
        0.0412459,
        0.0384668,
        0.0360389,
        0.0347204,
        0.0348233,
        0.0360713,
        0.0389252,
        0.0424363,
        0.0441319,
        0.0423004,
        0.0391641,
        0.0364377,
        0.034067,
        0.032267,
        0.0309667,
        0.0297364,
        0.0287324,
        0.0276915,
        0.0271624,
        0.0269614,
        0.027122,
        0.0275809,
        0.0284918,
        0.0297076,
        0.0310461,
        0.0324674,
        0.033513,
        0.0338103,
        0.0331178,
        0.0316056,
        0.0310518,
        0.0320704,
        0.0335658,
        0.0366478,
        0.0357592,
        0.0335088,
        0.0306658,
        0.0278904,
        0.0264376,
        0.0265223,
        0.0305519,
        0.0305511,
        0.0252233,
        0.0243492,
        0.0238567,
        0.0238441,
        0.0240764,
        0.0242257,
        0.0242338,
        0.0243246,
        0.0242794,
        0.0242688,
        0.024116,
        0.0236855,
        0.0235487,
        0.0241339,
        0.0247049,
        0.0251729,
        0.0246949,
        0.0233805,
        0.0221258,
        0.0220733,
        0.022633,
        0.0239017,
        0.0279509,
        0.0290189,
        0.0263333,
        0.0247797,
        0.0235608,
        0.022593,
        0.0222319,
        0.0222565,
        0.0227234,
        0.0232958,
        0.0241152,
        0.0247393,
        0.0246458,
        0.0241545,
        0.0240364,
        0.0231532,
        0.0216036,
        0.0206023,
        0.0205166,
        0.0212137,
        0.0222354,
        0.0232807,
        0.0243495,
        0.0237903,
        0.0222566,
        0.0209151,
        0.020121,
        0.0202764,
        0.0205278,
        0.0206128,
        0.0205896,
        0.0202407,
        0.0199301,
        0.0198881,
        0.0205006,
        0.021741,
        0.0241857,
        0.0273056,
        0.0300307,
        0.030381,
        0.0289777,
        0.0268201,
        0.0248392,
        0.0243819,
        0.0256625,
        0.0281399,
        0.0298909,
        0.0289275,
        0.0256801,
        0.0225944,
        0.020952,
        0.0202063,
        0.0200188,
        0.0205605,
        0.0205813,
        0.0203614,
        0.0219286,
        0.0235949,
        0.024758,
        0.0255024,
        0.0240817,
        0.0219924,
        0.0207763,
        0.0205761,
        0.0209871,
        0.0212636,
        0.0209635,
        0.0203635,
        0.0199241,
        0.0198242,
        0.0199462,
        0.0201459,
        0.0207369,
        0.0217927,
        0.0233206,
        0.0245578,
        0.02512,
        0.0240047,
        0.0218308,
        0.0200638,
        0.0194239,
        0.0213165,
        0.0211137,
        0.0190163,
        0.0194627,
        0.0194524,
        0.0195364,
        0.020378,
        0.0211945,
        0.0231215,
        0.0260741,
        0.0296486,
        0.0307294,
        0.0272367,
        0.024218,
        0.0224739,
        0.0217735,
        0.0219976,
        0.0213212,
        0.0218891,
        0.0219127,
        0.022162,
        0.0227307,
        0.0235949,
        0.0250154,
        0.0265856,
        0.0282842,
        0.02872,
        0.0287389,
        0.0298692,
        0.0342122,
        0.0380807,
        0.0391566,
        0.0377924,
        0.0354282,
        0.035762,
        0.0377001,
        0.0429712,
        0.0518554,
        0.0606585,
        0.0644811,
        0.0648631,
        0.068083,
        0.0806475,
        0.102071,
        0.139394,
        0.203522,
        0.171215,
        0.120352,
        0.0896142,
        0.0711616,
        0.0624979,
        0.0549416,
        0.0501032,
        0.044946,
        0.0468082,
        0.0452622,
        0.0443466,
        0.041609,
        0.0362403,
        0.0314443,
        0.0294746,
        0.0283915,
        0.0278999,
        0.0284619,
        0.0301403,
        0.0322792,
        0.033149,
        0.0324093,
        0.0319071,
        0.0328274,
        0.0336506,
        0.0345438,
        0.0334041,
        0.0305476,
        0.0288872,
        0.0281173,
        0.0287004,
        0.0303579,
        0.0312644,
        0.0293159,
        0.0257089,
        0.0233148,
        0.0222766,
        0.0216542,
        0.0213317,
        0.0210307,
        0.0208668,
        0.0209315,
        0.0209927,
        0.0209932,
        0.0208429,
        0.0205473,
        0.020366,
        0.0201773,
        0.0199988,
        0.0200173,
        0.0202606,
        0.021346,
        0.0215445,
        0.0213538,
        0.0217739,
        0.0231871,
        0.0252901,
        0.0270788,
        0.0271737,
        0.0260459,
        0.0256867,
        0.0262943,
        0.0271733,
        0.0260268,
        0.023297,
        0.0210233,
        0.019988,
        0.019678,
        0.0194967,
        0.0200575,
        0.0214878,
        0.024317,
        0.0288883,
        0.0354938,
        0.0405867,
        0.0403686,
        0.037294,
        0.0341268,
        0.0306712,
        0.028505,
        0.0288548,
        0.0313635,
        0.0326852,
        0.0326717,
        0.0312038,
        0.0286757,
        0.0254249,
        0.0223538,
        0.0206179,
        0.0227406,
        0.0233047,
        0.0201881,
        0.0195711,
        0.0194014,
        0.0190746,
        0.0190858,
        0.0190446,
        0.0190726,
        0.0190361,
        0.018936,
        0.0191512,
        0.0190102,
        0.0189575,
        0.0188893,
        0.0187356,
        0.0199489,
        0.0194493,
        0.0185804,
        0.0187485,
        0.0191744,
        0.020029,
        0.0216579,
        0.0235807,
        0.0252116,
        0.027822,
        0.0253062,
        0.0202907,
        0.0190568,
        0.0187652,
        0.0188339,
        0.0190301,
        0.0193689,
        0.0200446,
        0.0203654,
        0.0208309,
        0.0222264,
        0.0250368,
        0.030084,
        0.0365795,
        0.0396803,
        0.0368308,
        0.0324912,
        0.0302746,
        0.0257357,
        0.020989,
        0.0194391,
        0.0188576,
        0.0184336,
        0.0181201,
        0.0181838,
        0.0190996,
        0.0193417,
        0.0188771,
        0.0190527,
        0.0184676,
        0.0181532,
        0.0180995,
        0.0179353,
        0.0179221,
        0.018196,
        0.0184611,
        0.0213362,
        0.0211775,
        0.0186892,
        0.0209981,
        0.0202384,
        0.0190435,
        0.0191923,
        0.0196177,
        0.020142,
        0.0211904,
        0.0232892,
        0.026901,
        0.0319088,
        0.0361406,
        0.0357736,
        0.0310488,
        0.0262557,
        0.0238254,
        0.0239235,
        0.0258619,
        0.028804,
        0.0311086,
        0.0299854,
        0.0267466,
        0.0240524,
        0.0222603,
        0.0213825,
        0.0211281,
        0.0216995,
        0.0234618,
        0.0269387,
        0.0324745,
        0.0377725,
        0.0396155,
        0.0359627,
        0.0316705,
        0.0303993,
        0.0321373,
        0.0312841,
        0.0262871,
        0.0243242,
        0.0244511,
        0.0260372,
        0.0273626,
        0.0267285,
        0.0243057,
        0.0229039,
        0.0236881,
        0.0241958,
        0.0260158,
        0.0285293,
        0.0292096,
        0.0271981,
        0.0245621,
        0.0232483,
        0.0230055,
        0.0230261,
        0.0232442,
        0.0255372,
        0.0252608,
        0.021871,
        0.0214077,
        0.0211939,
        0.0208126,
        0.0206884,
        0.0206477,
        0.0206277,
        0.0204097,
        0.0200142,
        0.020022,
        0.0198652,
        0.0196975,
        0.019624,
        0.0196796,
        0.0199097,
        0.0203625,
        0.0208151,
        0.0212812,
        0.0211604,
        0.0207365,
        0.0201919,
        0.0199321,
        0.0198975,
        0.0204135,
        0.0214866,
        0.0234055,
        0.025775,
        0.0286052,
        0.0301765,
        0.0294509,
        0.02777,
        0.0261288,
        0.0247969,
        0.0230575,
        0.0210567,
        0.0212579,
        0.0223244,
        0.0242153,
        0.0268168,
        0.0284932,
        0.0273867,
        0.0252705,
        0.0244584,
        0.0264471,
        0.0313278,
        0.038256,
        0.0427395,
        0.0397561,
        0.0327977,
        0.0268965,
        0.0234001,
        0.0214445,
        0.0211376,
        0.0205926,
        0.0205639,
        0.0203748,
        0.0205259,
        0.0205221,
        0.0205253,
        0.0207641,
        0.0207612,
        0.0210744,
        0.0215455,
        0.0219383,
        0.0219046,
        0.0224022,
        0.0232323,
        0.0250916,
        0.0289539,
        0.0346586,
        0.0415058,
        0.0462638,
        0.0426742,
        0.0359042,
        0.031696,
        0.0286644,
        0.0276279,
        0.0281806,
        0.0294985,
        0.0325186,
        0.0373439,
        0.0444502,
        0.048678,
        0.0501643,
        0.0549307,
        0.0605864,
        0.0604551,
        0.053908,
        0.0474779,
        0.0443771,
        0.0421545,
        0.0389294,
        0.0361176,
        0.0355049,
        0.0362821,
        0.0381093,
        0.0404381,
        0.0434105,
        0.0468618,
        0.0516272,
        0.0592631,
        0.0707515,
        0.0867889,
        0.108656,
        0.130051,
        0.147732,
        0.169778,
        0.21853,
        0.229757,
        0.1685,
        0.130622,
        0.105051,
        0.0871784,
        0.0735414,
        0.0640559,
        0.0566774,
        0.050927,
        0.0464949,
        0.0430937,
        0.045599,
        0.0433519,
        0.0367187,
        0.0353369,
        0.034117,
        0.0339583,
        0.034099,
        0.0333863,
        0.0322783,
        0.0306982,
        0.0292519,
        0.028644,
        0.0280488,
        0.0274379,
        0.0277385,
        0.0282964,
        0.0293424,
        0.0338962,
        0.0393785,
        0.0415646,
        0.0456707,
        0.0480709,
        0.0474023,
        0.0453917,
        0.0411356,
        0.0370406,
        0.0361338,
        0.0343193,
        0.0319094,
        0.0285851,
        0.026685,
        0.0297135,
        0.0292851,
        0.0255139,
        0.0255163,
        0.0255945,
        0.0256976,
        0.02725,
        0.0293592,
        0.032262,
        0.0348332,
        0.0352265,
        0.0324895,
        0.0292239,
        0.0281537,
        0.0282095,
        0.0284736,
        0.0297796,
        0.0314717,
        0.0336447,
        0.0353363,
        0.0380187,
        0.0417379,
        0.0460194,
        0.0513562,
        0.0589,
        0.0686618,
        0.0800519,
        0.092128,
        0.10398,
        0.11073,
        0.103499,
        0.0911743,
        0.0811075,
        0.0790891,
        0.0833768,
        0.0865857,
        0.0833658,
        0.0785595,
        0.0724086,
        0.0645243,
        0.060254,
        0.0604901,
        0.0601809,
        0.0567736,
        0.0514083,
        0.0450523,
        0.0393013,
        0.0365401,
        0.0368211,
        0.0426336,
        0.0423212,
        0.0350777,
        0.0333048,
        0.0300873,
        0.0280341,
        0.0278428,
        0.0290623,
        0.0310941,
        0.0332859,
        0.034618,
        0.0329666,
        0.0299447,
        0.0278544,
        0.0269354,
        0.0267913,
        0.0269232,
        0.0269504,
        0.0264952,
        0.0261513,
        0.026036,
        0.0263905,
        0.0270451,
        0.0282005,
        0.0303964,
        0.033697,
        0.0380646,
        0.0417583,
        0.0419318,
        0.0382735,
        0.0349666,
        0.0342354,
        0.0347888,
        0.0374961,
        0.0394491,
        0.0406695,
        0.044614,
        0.0491429,
        0.0547488,
        0.0624663,
        0.0742634,
        0.0952506,
        0.139386,
        0.199672,
        0.220132,
        0.182737,
        0.143914,
        0.107744,
        0.0848928,
        0.07442,
        0.0680173,
        0.0696789,
        0.063889,
        0.0576603,
        0.0538095,
        0.0511009,
        0.0484019,
        0.04386,
        0.038695,
        0.0354541,
        0.0333633,
        0.0327857,
        0.0331289,
        0.0346771,
        0.0367188,
        0.0393206,
        0.0388302,
        0.0343086,
        0.0306983,
        0.0302423,
        0.0296365,
        0.0279979,
        0.0272429,
        0.0265072,
        0.0262392,
        0.025995,
        0.0272496,
        0.0264927,
        0.025649,
        0.0266586,
        0.027969,
        0.0302504,
        0.0343301,
        0.0404997,
        0.0465518,
        0.0482491,
        0.0499719,
        0.0461232,
        0.0360159,
        0.0302479,
        0.0268074,
        0.0253014,
        0.024894,
        0.0250855,
        0.0285419,
        0.0279524,
        0.0251086,
        0.0274568,
        0.0265108,
        0.0252325,
        0.0257851,
        0.0267223,
        0.0279209,
        0.0294131,
        0.0297893,
        0.0297577,
        0.0290957,
        0.0286055,
        0.0300949,
        0.0330778,
        0.0391066,
        0.0476862,
        0.0575724,
        0.0614703,
        0.0575161,
        0.0558844,
        0.0619152,
        0.0711879,
        0.0727413,
        0.0659173,
        0.0564,
        0.0468743,
        0.0395822,
        0.0343735,
        0.0300954,
        0.0278983,
        0.0265547,
        0.0264568,
        0.0272069,
        0.028599,
        0.0301196,
        0.0327827,
        0.0356849,
        0.0367756,
        0.0345965,
        0.0314683,
        0.0299506,
        0.0302005,
        0.0310368,
        0.0311929,
        0.0309872,
        0.0309509,
        0.0312536,
        0.031465,
        0.0305013,
        0.0306876,
        0.0304386,
        0.0299441,
        0.0304228,
        0.0313969,
        0.0334273,
        0.0371771,
        0.0424524,
        0.0485383,
        0.0510483,
        0.0478657,
        0.043323,
        0.0397968,
        0.03689,
        0.0350544,
        0.0334893,
        0.0328858,
        0.0335883,
        0.035755,
        0.0394732,
        0.0434339,
        0.0440632,
        0.0383159,
        0.0334325,
        0.0312365,
        0.0308073,
        0.0304048,
        0.0300323,
        0.0290713,
        0.0290165,
        0.0307232,
        0.0332717,
        0.0363421,
        0.0406317,
        0.0448423,
        0.0444892,
        0.0408782,
        0.0393876,
        0.0402844,
        0.0405207,
        0.0399211,
        0.0398599,
        0.041783,
        0.0444381,
        0.0478266,
        0.0469433,
        0.0431321,
        0.0405417,
        0.0408918,
        0.0369294,
        0.0314379,
        0.0327467,
        0.0316474,
        0.0300474,
        0.0318384,
        0.0345454,
        0.0380665,
        0.0400706,
        0.0394879,
        0.0386706,
        0.0393793,
        0.0418945,
        0.0424143,
        0.038387,
        0.0325583,
        0.0283869,
        0.0262593,
        0.0252787,
        0.0248647,
        0.0246977,
        0.0247748,
        0.0255922,
        0.0253474,
        0.0248048,
        0.0249781,
        0.0257239,
        0.0276518,
        0.0305048,
        0.0339902,
        0.0370307,
        0.0341294,
        0.0305573,
        0.0276174,
        0.0264495,
        0.0264721,
        0.0259295,
        0.0255963,
        0.0254927,
        0.025499,
        0.0281588,
        0.0284658,
        0.0261893,
        0.0271468,
        0.0286831,
        0.0297508,
        0.0303545,
        0.0297918,
        0.0287039,
        0.028097,
        0.0289222,
        0.0303188,
        0.0330999,
        0.0372597,
        0.0431793,
        0.0494562,
        0.0510595,
        0.0473702,
        0.043171,
        0.0410127,
        0.0408091,
        0.043685,
        0.0524598,
        0.0673552,
        0.0790952,
        0.0766779,
        0.0629869,
        0.0482119,
        0.0379782,
        0.0329968,
        0.0311464,
        0.0294995,
        0.0287184,
        0.0290732,
        0.029265,
        0.029264,
        0.03185,
        0.0351713,
        0.0407103,
        0.0483011,
        0.0532687,
        0.0528422,
        0.051817,
        0.0488663,
        0.0409284,
        0.0352579,
        0.0331295,
        0.0321033,
        0.0337079,
        0.0341071,
        0.0316501,
        0.0321816,
        0.0325654,
        0.0329261,
        0.0336205,
        0.0399381,
        0.0408297,
        0.0369066,
        0.0405947,
        0.0458957,
        0.0530632,
        0.0592244,
        0.0581505,
        0.0598038,
        0.0509391,
        0.0420426,
        0.0359275,
        0.0322831,
        0.0306942,
        0.0301409,
        0.0300239,
        0.0304041,
        0.0309284,
        0.0325986,
        0.0345817,
        0.0343148,
        0.0359299,
        0.0363822,
        0.0357489,
        0.0349919,
        0.035354,
        0.0366477,
        0.0375932,
        0.0386349,
        0.0396632,
        0.0413057,
        0.0440488,
        0.0483833,
        0.0533825,
        0.0578094,
        0.0587864,
        0.0604002,
        0.0642663,
        0.0723488,
        0.088024,
        0.112885,
        0.151146,
        0.178229,
        0.174361,
        0.167973,
        0.166726,
        0.165712,
        0.157094,
        0.133383,
        0.10407,
        0.0842553,
        0.0722141,
        0.0662651,
        0.0633027,
        0.0626029,
        0.0639452,
        0.0679796,
        0.0733607,
        0.0746398,
        0.0663571,
        0.0562879,
        0.0494148,
        0.0449027,
        0.0423116,
        0.0404861,
        0.0387878,
        0.0374366,
        0.0358308,
        0.0345919,
        0.0335072,
        0.0325475,
        0.0321298,
        0.0320053,
        0.0318981,
        0.0319931,
        0.031579,
        0.0307871,
        0.0301884,
        0.0301446,
        0.0308285,
        0.0329821,
        0.0383722,
        0.0436,
        0.0424164,
        0.0447791,
        0.0412417,
        0.0360699,
        0.0327902,
        0.0315182,
        0.0314179,
        0.0318939,
        0.0335329,
        0.0354442,
        0.0375131,
        0.0411436,
        0.0417723,
        0.0361562,
        0.0338258,
        0.032582,
        0.0316382,
        0.0309945,
        0.0307994,
        0.0314363,
        0.0334092,
        0.0367067,
        0.0427454,
        0.0494328,
        0.0518038,
        0.0474522,
        0.0393494,
        0.0331567,
        0.0313082,
        0.0314012,
        0.0326526,
        0.0349077,
        0.0383975,
        0.0391689,
        0.0371431,
        0.0345786,
        0.0345879,
        0.0380726,
        0.0462221,
        0.060696,
        0.0740464,
        0.0727228,
        0.0578734,
        0.0431163,
        0.0351773,
        0.0323458,
        0.0326064,
        0.0341659,
        0.0385903,
        0.0436833,
        0.0439593,
        0.0418939,
        0.0362632,
        0.0316915,
        0.0300464,
        0.0301116,
        0.0311212,
        0.0326542,
        0.0363229,
        0.0414073,
        0.0485147,
        0.0529726,
        0.0486756,
        0.0407288,
        0.0362086,
        0.0346171,
        0.0353434,
        0.0380385,
        0.0426547,
        0.0493692,
        0.0533795,
        0.0502791,
        0.0430224,
        0.038561,
        0.0374213,
        0.0380596,
        0.0409774,
        0.0446196,
        0.0482527,
        0.047603,
        0.0417933,
        0.0357626,
        0.0342997,
        0.0329687,
        0.0329159,
        0.0341461,
        0.0366854,
        0.0386072,
        0.0393851,
        0.0378671,
        0.0358267,
        0.0338972,
        0.0324858,
        0.0311637,
        0.0307823,
        0.0316641,
        0.0351533,
        0.0377898,
        0.0404857,
        0.0412907,
        0.0381133,
        0.0382433,
        0.0412484,
        0.0469726,
        0.0533101,
        0.055501,
        0.0506113,
        0.0454481,
        0.0441959,
        0.0436954,
        0.041254,
        0.0377027,
        0.0358646,
        0.0368512,
        0.0393879,
        0.0437819,
        0.0487409,
        0.0522655,
        0.0474766,
        0.0403288,
        0.036511,
        0.0347794,
        0.0352019,
        0.035848,
        0.0371231,
        0.0397422,
        0.04411,
        0.050233,
        0.0539695,
        0.0503803,
        0.0438023,
        0.0397744,
        0.0385997,
        0.0388293,
        0.0394969,
        0.0399087,
        0.040227,
        0.0412873,
        0.0429444,
        0.0444213,
        0.0471919,
        0.0505127,
        0.0548086,
        0.0601357,
        0.0719763,
        0.0725832,
        0.0693583,
        0.0751493,
        0.0851777,
        0.103889,
        0.118201,
        0.144246,
        0.183911,
        0.21528,
        0.179696,
        0.151856,
        0.137141,
        0.123207,
        0.108365,
        0.0952907,
        0.083997,
        0.0770361,
        0.0741184,
        0.0741401,
        0.0752904,
        0.0729436,
        0.0698729,
        0.0714576,
        0.0751379,
        0.0717198,
        0.060793,
        0.0524789,
        0.050408,
        0.051331,
        0.0537191,
        0.0552996,
        0.0525835,
        0.047311,
        0.0431064,
        0.0409409,
        0.0402557,
        0.0400589,
        0.0409512,
        0.041762,
        0.0429158,
        0.0461791,
        0.0513505,
        0.058259,
        0.0650878,
        0.0689159,
        0.0613327,
        0.0513851,
        0.0495447,
        0.055012,
        0.0674465,
        0.0885846,
        0.115039,
        0.11695,
        0.0869363,
        0.0611329,
        0.0499711,
        0.045954,
        0.0443071,
        0.0429718,
        0.0418187,
        0.0404024,
        0.0385061,
        0.0372293,
        0.0367503,
        0.0361271,
        0.0358681,
        0.0359822,
        0.0372448,
        0.0375619,
        0.0372063,
        0.036773,
        0.0365481,
        0.0364842,
        0.0359457,
        0.035166,
        0.0346266,
        0.0343797,
        0.0346862,
        0.0355452,
        0.0375186,
        null,
        0.0298681,
        0.0398542,
        0.0477387,
        0.0468199,
        0.0444389,
        0.0376407,
        0.032288,
        0.0297637,
        0.0292865,
        0.0333178,
        0.033276,
        0.0285752,
        0.0276763,
        0.027011,
        0.0271766,
        0.0278077,
        0.0286674,
        0.0295392,
        0.0300078,
        0.0298274,
        0.0288854,
        0.0278273,
        0.0272043,
        0.026628,
        0.0259731,
        0.0253875,
        0.0250465,
        0.0248721,
        0.0248226,
        0.024707,
        0.0246825,
        0.0250992,
        0.0262579,
        0.0286035,
        0.0323732,
        0.0378378,
        0.0384734,
        0.0337772,
        0.0299791,
        0.0281425,
        0.0280683,
        0.0283366,
        0.0286404,
        0.0282946,
        0.0269008,
        0.0257178,
        0.02563,
        0.0257445,
        0.0258033,
        0.0255719,
        0.0257094,
        0.0257578,
        0.0261216,
        0.0285512,
        0.0333343,
        0.0403239,
        0.0458368,
        0.0434527,
        0.0356539,
        0.0299225,
        0.027023,
        0.0257245,
        0.0257532,
        0.0268163,
        0.0295762,
        0.0333478,
        0.0374407,
        0.039115,
        0.0355531,
        0.0308155,
        0.0280002,
        0.0271383,
        0.0273993,
        0.0286311,
        0.0303185,
        0.0328673,
        0.0361772,
        0.0404156,
        0.0441658,
        0.0424774,
        0.0368372,
        0.0324968,
        0.0308386,
        0.0307744,
        0.0313638,
        0.032384,
        0.0342346,
        0.0370612,
        0.0406859,
        0.0443854,
        0.0469439,
        0.0479475,
        0.0533142,
        0.0483978,
        0.0384587,
        0.037544,
        0.038615,
        0.0417416,
        0.0462857,
        0.0491588,
        0.0473603,
        0.0419373,
        0.037692,
        0.0371488,
        0.0381422,
        0.0400773,
        0.0417082,
        0.0423065,
        0.0432338,
        0.0458143,
        0.049885,
        0.0541871,
        0.0567406,
        0.0560502,
        0.0562138,
        0.0602684,
        0.0673372,
        0.072295,
        0.0686866,
        0.0572624,
        0.0458189,
        0.0387497,
        0.0348798,
        0.0324431,
        0.0312388,
        0.0310939,
        0.0326028,
        0.0360821,
        0.0417344,
        0.0469845,
        0.0463558,
        0.0395216,
        0.0334768,
        0.0306652,
        0.0296328,
        0.0292699,
        0.0292167,
        0.0288615,
        0.0285774,
        0.0284779,
        0.0285733,
        0.0284429,
        0.0282638,
        0.0278759,
        0.0275725,
        0.0274699,
        0.0297067,
        0.0295334,
        0.0296225,
        0.0300696,
        0.0289916,
        0.030555,
        0.033046,
        0.0375373,
        0.0437886,
        0.0484215,
        0.0466802,
        0.039706,
        0.0340133,
        0.0314615,
        0.0309086,
        0.0310109,
        0.0312636,
        0.0320912,
        0.0334398,
        0.0353212,
        0.0375492,
        0.0398548,
        0.0425222,
        0.0455077,
        0.0487334,
        0.0536854,
        0.0612657,
        0.073108,
        0.090676,
        0.117491,
        0.162966,
        0.169865,
        0.136604,
        0.118509,
        0.107411,
        0.0945374,
        0.0792017,
        0.0668912,
        0.0568854,
        0.0499366,
        0.0458554,
        0.0433326,
        0.0413132,
        0.0395614,
        0.0380773,
        0.0372519,
        0.0368386,
        0.036194,
        0.0362954,
        0.0370844,
        0.0386504,
        0.0407294,
        0.0419215,
        0.0408918,
        0.0399029,
        0.0408441,
        0.0445797,
        0.0502266,
        0.0546255,
        0.0543204,
        0.0543033,
        0.0553683,
        0.0522388,
        0.0461556,
        0.0420591,
        0.0406972,
        0.040784,
        0.0418316,
        0.0429532,
        0.0444836,
        0.0462096,
        0.0482823,
        0.0507209,
        0.0544357,
        0.0591451,
        0.06656,
        0.0772377,
        0.0925737,
        0.109145,
        0.125744,
        0.147824,
        0.179093,
        0.207085,
        0.242522,
        0.313565,
        0.196166,
        0.164923,
        0.147026,
        0.137336,
        0.124173,
        0.104671,
        0.0886478,
        0.079683,
        0.0747056,
        0.0690217,
        0.0610915,
        0.0551471,
        0.0535924,
        0.0554105,
        0.0590349,
        0.0602762,
        0.0551409,
        0.0480662,
        0.0438346,
        0.0421785,
        0.0417704,
        0.0418979,
        0.042585,
        0.0430078,
        0.0437392,
        0.0443162,
        0.0440771,
        0.0442253,
        0.0445616,
        0.0464903,
        0.0499739,
        0.0581514,
        0.0560239,
        0.0493171,
        0.0455962,
        0.0444096,
        0.0450605,
        0.0461343,
        0.0476024,
        0.0492201,
        0.0519203,
        0.0575238,
        0.0792883,
        0.0848816,
        0.0836222,
        0.101953,
        0.130888,
        0.182451,
        0.238994,
        0.171913,
        0.131991,
        0.10256,
        0.0801823,
        0.0652473,
        0.0561762,
        0.0508723,
        0.0472956,
        0.0446952,
        0.0426296,
        0.0402805,
        0.0383344,
        0.0364256,
        0.0343968,
        0.0328015,
        0.0312692,
        0.0297007,
        0.0285213,
        0.027623,
        0.0269596,
        0.0264851,
        0.0259621,
        0.0254603,
        0.0252058,
        0.0249595,
        0.0245788,
        0.0243346,
        0.024105,
        0.0241307,
        0.0241073,
        0.0239987,
        0.0240296,
        0.0244559,
        0.0253615,
        0.0265213,
        0.0274809,
        0.0275349,
        0.0265065,
        0.025529,
        0.0251355,
        0.0252286,
        0.0258042,
        0.0265635,
        0.0276577,
        0.0287957,
        0.0299432,
        0.0311439,
        0.0317276,
        0.0310723,
        0.0299332,
        0.0285685,
        0.0273495,
        0.02661,
        0.0260088,
        0.0257102,
        0.0260325,
        0.0271847,
        0.0294729,
        0.0335231,
        0.0369811,
        0.0376668,
        0.0362749,
        0.0338453,
        0.0303868,
        0.0273683,
        0.0265902,
        0.0252291,
        0.0231724,
        0.0226138,
        0.0225849,
        0.0221788,
        0.021463,
        0.0213243,
        0.0210654,
        0.0208886,
        0.0206903,
        0.0205695,
        0.0203565,
        0.0202347,
        0.0201696,
        0.020311,
        0.0211744,
        0.0217374,
        0.0214193,
        0.0223549,
        0.0234031,
        0.0236162,
        0.0228366,
        0.021858,
        0.0214434,
        0.021333,
        0.0213187,
        0.021068,
        0.020846,
        0.0207896,
        0.0209036,
        0.0209908,
        0.0210882,
        0.0212399,
        0.0213684,
        0.0216237,
        0.022048,
        0.0224479,
        0.0229374,
        0.023592,
        0.0244848,
        0.0254584,
        0.0267582,
        0.0280646,
        0.0296702,
        0.0320644,
        0.0353149,
        0.0382282,
        0.0405077,
        0.0405391,
        0.0382888,
        0.0352894,
        0.0321625,
        0.0299473,
        0.0281114,
        0.0271657,
        0.0272679,
        0.0282077,
        0.0296652,
        0.0303086,
        0.0298193,
        0.0287476,
        0.0284036,
        0.0286618,
        0.0272818,
        0.0244897,
        0.0221853,
        0.0210869,
        0.020659,
        0.0204001,
        0.0202084,
        0.0209318,
        0.0210269,
        0.0205025,
        0.0203686,
        0.0201772,
        0.0200144,
        0.0199304,
        0.0201077,
        0.020515,
        0.0211659,
        0.0223168,
        0.0231644,
        0.0230316,
        0.0218314,
        0.020831,
        0.0203494,
        0.0201948,
        0.0202756,
        0.0204453,
        0.0204699,
        0.0202809,
        0.0201646,
        0.0201654,
        0.0200709,
        0.0201864,
        0.020259,
        0.0202911,
        0.0202566,
        0.0202709,
        0.0202388,
        0.0202015,
        0.0200819,
        0.0199394,
        0.0201845,
        0.0204161,
        0.0206597,
        0.0209131,
        0.020983,
        0.0208133,
        0.0205885,
        0.0202983,
        0.0200899,
        0.0199953,
        0.0199524,
        0.0202239,
        0.0222229,
        0.0218415,
        0.019804,
        0.0196793,
        0.0195914,
        0.0195459,
        0.0193908,
        0.0194029,
        0.0195167,
        0.0197178,
        0.0197308,
        0.0196695,
        0.019331,
        0.0191898,
        0.0192336,
        0.0192204,
        0.0192249,
        0.019155,
        0.018966,
        0.0190033,
        0.0189653,
        0.01889,
        0.0187628,
        0.019225,
        0.0220266,
        0.0217344,
        0.0189446,
        0.0189201,
        0.018835,
        0.0187859,
        0.0188366,
        0.0189937,
        0.0191751,
        0.0193828,
        0.0195441,
        0.0197684,
        0.0201764,
        0.0207968,
        0.021431,
        0.0225417,
        0.02369,
        0.0249494,
        0.0258585,
        0.0264496,
        0.0268136,
        0.0269741,
        0.026585,
        0.0253412,
        0.0235365,
        0.022171,
        0.0213578,
        0.020637,
        0.0201771,
        0.0198027,
        0.0196207,
        0.0195585,
        0.0194242,
        0.01927,
        0.0190562,
        0.0190426,
        0.0190176,
        0.0188973,
        0.0188759,
        0.0187596,
        0.018708,
        0.0187068,
        0.0185817,
        0.0185984,
        0.0189037,
        0.0189525,
        0.0190483,
        0.0189847,
        0.0190136,
        0.0191015,
        0.0190508,
        0.019037,
        0.0189741,
        0.0189606,
        0.0190493,
        0.0193368,
        0.0192953,
        0.0193138,
        0.0193542,
        0.0197294,
        0.021038,
        0.0214237,
        0.0201157,
        0.0203331,
        0.0207485,
        0.0208678,
        0.0208163,
        0.0207498,
        0.0209309,
        0.0214429,
        0.0217268,
        0.0223196,
        0.0229646,
        0.0236625,
        0.024689,
        0.027448,
        0.0296037,
        0.0319973,
        0.0342921,
        0.033558,
        0.0370796,
        0.0405999,
        0.0427134,
        0.0424609,
        0.0400957,
        0.0374891,
        0.0353112,
        0.0337666,
        0.0321824,
        0.0312623,
        0.0318186,
        0.0318497,
        0.0315048,
        0.0323591,
        0.0332669,
        0.0350456,
        0.037175,
        0.0397389,
        0.0434111,
        0.0483018,
        0.055739,
        0.0659985,
        0.0791247,
        0.0970177,
        0.124826,
        0.247472,
        0.154952,
        0.108195,
        0.0813787,
        0.0645022,
        0.053732,
        0.0466514,
        0.0416467,
        0.0381001,
        0.0349963,
        0.0329602,
        0.0309977,
        0.0292674,
        0.0279711,
        0.0268906,
        0.0261107,
        0.0253157,
        0.024857,
        0.0242435,
        0.023946,
        0.0237951,
        0.0233836,
        0.0232809,
        0.0231919,
        0.0237989,
        0.0237873,
        0.0229517,
        0.02249,
        0.0221375,
        0.0219597,
        0.0223147,
        0.0221337,
        0.021302,
        0.0211039,
        0.0211676,
        0.0210799,
        0.0211444,
        0.0213266,
        0.0213987,
        0.0210442,
        0.0207799,
        0.0203549,
        0.0201377,
        0.0199705,
        0.0196145,
        0.019455,
        0.0193101,
        0.0192545,
        0.0190574,
        0.0189537,
        0.0189626,
        0.0190155,
        0.0190123,
        0.0190603,
        0.0190183,
        0.0189354,
        0.0187311,
        0.0187259,
        0.0187106,
        0.0189118,
        0.0194271,
        0.019829,
        0.0200011,
        0.0199906,
        0.0196359,
        0.0192597,
        0.0191698,
        0.0189026,
        0.0188491,
        0.0187522,
        0.0188836,
        0.01899,
        0.0189946,
        0.0191348,
        0.0191772,
        0.0194604,
        0.0198356,
        0.0205419,
        0.0252805,
        0.0254269,
        0.0229748,
        0.0246086,
        0.0268859,
        0.0291877,
        0.0300868,
        0.0308854,
        0.0279301,
        0.0254134,
        0.0239082,
        0.0225722,
        0.02162,
        0.020892,
        0.02032,
        0.020187,
        0.0200877,
        0.0199325,
        0.0198252,
        0.0199602,
        0.0197738,
        0.019401,
        0.0193678,
        0.0193915,
        0.0196202,
        0.0201047,
        0.0212141,
        0.0228422,
        0.0251263,
        0.0272896,
        0.0277256,
        0.0268886,
        0.0262393,
        0.0261394,
        0.0255852,
        0.0239808,
        0.0219875,
        0.0206984,
        0.0207617,
        0.0213707,
        0.0222974,
        0.0236265,
        0.0245949,
        0.0244509,
        0.0234544,
        0.0233593,
        0.0265832,
        0.0261762,
        0.0224678,
        0.0219464,
        0.021461,
        0.0208812,
        0.0210799,
        0.0215107,
        0.0219354,
        0.0225443,
        0.0240287,
        0.0264172,
        0.0302789,
        0.0350216,
        0.0404279,
        0.0383802,
        0.0352132,
        0.0371889,
        0.042017,
        0.0508298,
        0.0534003,
        0.051783,
        0.0463631,
        0.0379524,
        0.0337625,
        0.0318836,
        0.031453,
        0.0320142,
        0.0324404,
        0.0311507,
        0.0282037,
        0.0248562,
        0.0229752,
        0.0222312,
        0.0221662,
        0.0230484,
        0.0247059,
        0.0263557,
        0.027409,
        0.0264071,
        0.0236972,
        0.0215611,
        0.0204685,
        0.0200661,
        0.0198916,
        0.0198424,
        0.0200041,
        0.0208478,
        0.0219545,
        0.0231427,
        0.0243742,
        0.0247647,
        0.0249759,
        0.0263573,
        0.0282381,
        0.0295499,
        0.0282752,
        0.0247615,
        0.0219746,
        0.0215515,
        0.0219319,
        0.0238716,
        0.0264985,
        0.0280701,
        0.0294121,
        0.0269186,
        0.0234519,
        0.0210881,
        0.0200073,
        0.0196003,
        0.0200115,
        0.0210545,
        0.0228445,
        0.0246814,
        0.0259008,
        0.0246742,
        0.0232249,
        0.0226435,
        0.0222403,
        0.0214339,
        0.0203606,
        0.0212292,
        0.0218515,
        0.0231943,
        0.0248357,
        0.02424,
        0.0242138,
        0.0225194,
        0.0209289,
        0.0201151,
        0.0197067,
        0.0196572,
        0.0195203,
        0.0198004,
        0.0206384,
        0.0218584,
        0.0235546,
        0.0247623,
        0.0251371,
        0.0245038,
        0.0230715,
        0.0212361,
        0.0202737,
        0.020287,
        0.0205002,
        0.0208359,
        0.0215845,
        0.0231359,
        0.0260235,
        0.0295542,
        0.0316312,
        0.0304748,
        0.0285963,
        0.0273678,
        0.0262691,
        0.0247019,
        0.0235913,
        0.0239614,
        0.0258726,
        0.0280599,
        0.028656,
        0.0259588,
        0.0226341,
        0.0206719,
        0.0198205,
        0.0195945,
        0.0197902,
        0.0206487,
        0.0223775,
        0.0250386,
        0.0284033,
        0.0307454,
        0.0289666,
        0.0254093,
        0.0235038,
        0.0233451,
        0.023808,
        0.0241574,
        0.0245743,
        0.02511,
        0.0281819,
        0.0304512,
        0.0313979,
        0.0339205,
        0.035493,
        0.0340465,
        0.0307319,
        0.0286763,
        0.0286877,
        0.0300859,
        0.0308379,
        0.0300369,
        0.0278076,
        0.024824,
        0.0225096,
        0.0216534,
        0.0219661,
        0.0229776,
        0.0249203,
        0.0269109,
        0.0279617,
        0.0269812,
        0.0259593,
        0.0248524,
        0.023516,
        0.0223193,
        0.0224654,
        0.0229471,
        0.0233171,
        0.0237097,
        0.0234257,
        0.0227667,
        0.0229631,
        0.0244619,
        0.02777,
        0.0323911,
        0.0351265,
        0.0324484,
        0.0272078,
        0.0233822,
        0.0219418,
        0.0239779,
        0.0239855,
        0.0220144,
        0.0236482,
        0.0258407,
        0.0289073,
        0.0314004,
        0.0318106,
        0.0297302,
        0.0280469,
        0.028198,
        0.02912,
        0.0307367,
        0.0329529,
        0.0332431,
        0.0330314,
        0.0343088,
        0.0373791,
        0.0419428,
        0.046416,
        0.0465776,
        0.0412045,
        0.0344842,
        0.0300218,
        0.0282462,
        0.0270376,
        0.0253781,
        0.0248789,
        0.0240851,
        0.0239359,
        0.0241337,
        0.0257348,
        0.0291835,
        0.0328145,
        0.0340806,
        0.0312145,
        0.0263432,
        0.0229815,
        0.0214172,
        0.0207501,
        0.0202651,
        0.0200752,
        0.020157,
        0.0200466,
        0.0200292,
        0.0199664,
        0.020046,
        0.0203124,
        0.0218724,
        0.0263968,
        0.0279102,
        0.0256478,
        0.0254271,
        0.0246665,
        0.0247382,
        0.0257135,
        0.0257549,
        0.0249533,
        0.0239278,
        0.0225613,
        0.0214976,
        0.0211717,
        0.0214816,
        0.0221915,
        0.0227915,
        0.023935,
        0.0259541,
        0.0289022,
        0.0314134,
        0.0304396,
        0.0279501,
        0.026297,
        0.026481,
        0.0281068,
        0.0290313,
        0.027292,
        0.0251377,
        0.0238233,
        0.0236843,
        0.0234047,
        0.0226878,
        0.0219138,
        0.0218959,
        0.0228966,
        0.0255387,
        0.0288129,
        0.0325703,
        0.0344226,
        0.0327961,
        0.0303069,
        0.0284334,
        0.0271342,
        0.0263952,
        0.0250933,
        0.0236479,
        0.0227164,
        0.0225521,
        0.0228985,
        0.024219,
        0.0263498,
        0.0291908,
        0.0307221,
        0.0294847,
        0.0273926,
        0.0255433,
        0.0241424,
        0.0229723,
        0.0228232,
        0.0235377,
        0.0247497,
        0.0260121,
        0.0264767,
        0.0260831,
        0.0255262,
        0.0257278,
        0.0267199,
        0.0280273,
        0.0282583,
        0.030097,
        0.0277458,
        0.0236281,
        0.0233356,
        0.0231771,
        0.0229634,
        0.0229908,
        0.023242,
        0.0237465,
        0.0244373,
        0.0253922,
        0.0270627,
        0.0292187,
        0.0315868,
        0.0340632,
        0.0372212,
        0.0399634,
        0.0397126,
        0.0372306,
        0.0354902,
        0.0352905,
        0.0368154,
        0.0386449,
        0.0407551,
        0.0454037,
        0.0510466,
        0.0590585,
        0.069253,
        0.0813598,
        0.0930764,
        0.103201,
        0.114211,
        0.123607,
        0.130345,
        0.135226,
        0.133075,
        0.128219,
        0.122249,
        0.122214,
        0.146012,
        0.181039,
        0.162243,
        0.124654,
        0.106301,
        0.0982886,
        0.0963387,
        0.10026,
        0.0862499,
        0.0645566,
        0.0616551,
        0.0559612,
        0.0458191,
        0.040781,
        0.0379599,
        0.0369135,
        0.0366664,
        0.0369123,
        0.0374965,
        0.0375958,
        0.0375871,
        0.0394195,
        0.0442926,
        0.0501533,
        0.0544306,
        0.0531448,
        0.048734,
        0.0463807,
        0.0475392,
        0.0506673,
        0.0505816,
        0.0480403,
        0.0457605,
        0.0445397,
        0.0428597,
        0.0409586,
        0.0420443,
        0.0398132,
        0.0348762,
        0.0345404,
        0.0347597,
        0.0334371,
        0.030706,
        0.0287032,
        0.0282746,
        0.0299548,
        0.0298515,
        0.0273648,
        0.0259657,
        0.0252099,
        0.0253565,
        0.0268989,
        0.0300772,
        0.034355,
        0.0387055,
        0.0401311,
        0.0377988,
        0.0349489,
        0.0330381,
        0.0305694,
        0.0287228,
        0.0277028,
        0.0288271,
        0.0277452,
        0.0250157,
        0.023565,
        0.0229823,
        0.0225588,
        0.0224331,
        0.0225682,
        0.0235062,
        0.024598,
        0.0248385,
        0.0265918,
        0.0286383,
        0.0295467,
        0.0295292,
        0.0293384,
        0.0280876,
        0.0267049,
        0.026344,
        0.0256361,
        0.0245918,
        0.0237709,
        0.0236365,
        0.0241735,
        0.0249195,
        0.0258998,
        0.0259867,
        0.025216,
        0.0245869,
        0.0263828,
        0.0271065,
        0.0249525,
        0.025925,
        0.0270179,
        0.0284611,
        0.0293903,
        0.0295023,
        0.0296936,
        0.0316786,
        0.0360086,
        0.042428,
        0.0505841,
        0.0541752,
        0.0500265,
        0.0450461,
        0.0437773,
        0.0451725,
        0.0457655,
        0.0458069,
        0.0469074,
        0.0492956,
        0.0535727,
        0.0595223,
        0.0664814,
        0.0770433,
        0.0909916,
        0.110846,
        0.139566,
        0.176903,
        0.227496,
        0.185027,
        0.149945,
        0.123561,
        0.10168,
        0.0896171,
        0.0825876,
        0.0783812,
        0.0760663,
        0.0717313,
        0.0622994,
        0.0526776,
        0.0467883,
        0.0430348,
        0.040028,
        0.0383267,
        0.0378538,
        0.0378666,
        0.0375228,
        0.0355624,
        0.0335118,
        0.037355,
        0.0349336,
        0.0285122,
        0.0276404,
        0.0278428,
        0.0274434,
        0.0267665,
        0.0273829,
        0.0273829,
        0.0274434,
        0.0281689,
        0.0300597,
        0.0332042,
        0.0369462,
        0.0409764,
        0.041347,
        0.0386936,
        0.0352882,
        0.03415,
        0.0351344,
        0.0370527,
        0.0390404,
        0.0397223,
        0.038653,
        0.0356771,
        0.0324345,
        0.0305106,
        0.0297949,
        0.0297471,
        0.0301847,
        0.0312162,
        0.0317736,
        0.0321201,
        0.0322745,
        0.0329169,
        0.0341718,
        0.0357151,
        0.0379354,
        0.0408074,
        0.0443238,
        0.0488351,
        0.0534389,
        0.0598713,
        0.064206,
        0.0652907,
        0.0655643,
        0.0633861,
        0.060963,
        0.0593272,
        0.0574557,
        0.0556385,
        0.0529904,
        0.0482208,
        0.042734,
        0.0387994,
        0.0363638,
        0.0349636,
        0.0339523,
        0.0334559,
        0.0328397,
        0.0317076,
        0.0299368,
        0.0288308,
        0.0316424,
        0.0322846,
        0.0291926,
        0.0304565,
        0.0321425,
        0.0345182,
        0.0377198,
        0.0414719,
        0.0463581,
        0.0534622,
        0.0590596,
        0.0578407,
        0.0506832,
        0.0428891,
        0.0368033,
        0.0329495,
        0.0307496,
        0.0290024,
        0.0272618,
        0.0256501,
        0.0247297,
        0.024252,
        0.0240082,
        0.0240563,
        0.024387,
        0.0247852,
        0.0252072,
        0.0257083,
        0.0257195,
        0.0255746,
        0.0259718,
        0.027709,
        0.0309525,
        0.0366052,
        0.0447625,
        0.0520845,
        0.0526202,
        0.0486326,
        0.0417006,
        0.0344233,
        0.030155,
        0.0267811,
        0.0251169,
        0.0244883,
        0.0242959,
        0.0244615,
        0.0244854,
        0.0246504,
        0.0247161,
        0.0242648,
        0.0237509,
        0.0253931,
        0.0244211,
        0.022855,
        0.0229952,
        0.023114,
        0.0234211,
        0.0245095,
        0.0258568,
        0.0279287,
        0.0301972,
        0.0323161,
        0.0322639,
        0.0300009,
        0.0278056,
        0.0270244,
        0.0264776,
        0.0255077,
        0.0241129,
        0.0228419,
        0.0221836,
        0.0218394,
        0.0218208,
        0.0217802,
        0.0218349,
        0.0217553,
        0.0217426,
        0.0218473,
        0.0222527,
        0.0256346,
        0.0281319,
        0.0281307,
        0.0252832,
        0.0252651,
        0.024983,
        0.0240576,
        0.0233162,
        0.0228028,
        0.022603,
        0.0226683,
        0.0230034,
        0.0234357,
        0.0236937,
        0.0242789,
        0.0255131,
        0.0275004,
        0.0299813,
        0.0320846,
        0.0321874,
        0.033072,
        0.0300022,
        0.0257142,
        0.024964,
        0.0246241,
        0.0247447,
        0.0253948,
        0.0270441,
        0.0305113,
        0.0390733,
        0.0415759,
        0.0345804,
        0.0303827,
        0.0270611,
        0.0259689,
        0.0259084,
        0.0254288,
        0.0273547,
        0.0273956,
        0.0246881,
        0.024475,
        0.0241077,
        0.0237487,
        0.0233584,
        0.0231835,
        0.0231048,
        0.0234333,
        0.0243883,
        0.0258387,
        0.0269466,
        0.0277252,
        0.0287656,
        0.0256271,
        0.0247345,
        0.0237348,
        0.0231126,
        0.0232159,
        0.0257529,
        0.0267513,
        0.0254946,
        0.0253198,
        0.0262008,
        0.0275365,
        0.0304497,
        0.0350178,
        0.0418649,
        0.0490936,
        0.0517035,
        0.04647,
        0.0394996,
        0.0338865,
        0.0310158,
        0.029394,
        0.0283613,
        0.0277891,
        0.0268769,
        0.0258576,
        0.0253956,
        0.0249695,
        0.0245033,
        0.0250338,
        0.0253669,
        0.024922,
        0.0256531,
        0.026741,
        0.0270883,
        0.0268817,
        0.0260961,
        0.0252912,
        0.0255478,
        0.0270001,
        0.029699,
        0.033826,
        0.0392006,
        0.0413487,
        0.0382273,
        0.0322392,
        0.0286565,
        0.0312003,
        0.0278162,
        0.0242788,
        0.0239849,
        0.0243544,
        0.0247862,
        0.0253614,
        0.0255426,
        0.026013,
        0.0257756,
        0.0253286,
        0.0257332,
        0.0262247,
        0.0270874,
        0.0284249,
        0.0296551,
        0.0314211,
        0.0331934,
        0.034597,
        0.0361481,
        0.0369965,
        0.0373493,
        0.0368865,
        0.0360195,
        0.0350802,
        0.0325051,
        0.0301241,
        0.028187,
        0.0271578,
        0.026614,
        0.0267269,
        0.0279749,
        0.0297473,
        0.0318974,
        0.0325572,
        0.0309001,
        0.0291694,
        0.0270724,
        0.0254212,
        0.0251988,
        0.0246488,
        0.0246219,
        0.0247725,
        0.0247684,
        0.0248007,
        0.0254052,
        0.0258044,
        0.0258209,
        0.0256018,
        0.0258169,
        0.0263647,
        0.0275778,
        0.0293054,
        0.0326668,
        0.0377598,
        0.0403353,
        0.0425915,
        0.0418406,
        0.036868,
        0.031626,
        0.0286722,
        0.0280131,
        0.0283501,
        0.0287946,
        0.0287447,
        0.0284024,
        0.0277747,
        0.0271735,
        0.0307252,
        0.0294603,
        0.0279023,
        0.0282401,
        0.0284104,
        0.0283223,
        0.0282902,
        0.0282382,
        0.0284997,
        0.0289046,
        0.0306949,
        0.0313767,
        0.031588,
        0.0335972,
        0.0358002,
        0.0374617,
        0.0387497,
        0.0410459,
        0.0469852,
        0.0557329,
        0.0643017,
        0.0651852,
        0.0567505,
        0.0469486,
        0.0425018,
        0.0411002,
        0.0421322,
        0.0446256,
        0.0483428,
        0.055432,
        0.0630507,
        0.0688364,
        0.073714,
        0.085916,
        0.104675,
        0.130338,
        0.175786,
        0.176235,
        0.13156,
        0.105357,
        0.0876525,
        0.0727366,
        0.0625487,
        0.0567247,
        0.0518488,
        0.0485085,
        0.0450354,
        0.0421706,
        0.0411377,
        0.0422176,
        0.0403855,
        0.0355012,
        0.0346783,
        0.03366,
        0.0326852,
        0.0321803,
        0.0320091,
        0.0317802,
        0.0315633,
        0.0313908,
        0.0312966,
        0.0321444,
        0.0332293,
        0.0351058,
        0.0366066,
        0.0376271,
        0.0384706,
        0.0385388,
        0.0378076,
        0.0380208,
        0.0395592,
        0.0416689,
        0.0436556,
        0.0417983,
        0.0377666,
        0.0345265,
        0.0328986,
        0.0338964,
        0.0367208,
        0.0407734,
        0.0457096,
        0.0493452,
        0.0463613,
        0.040518,
        0.0367645,
        0.0354143,
        0.0350125,
        0.0336548,
        0.0332463,
        0.032378,
        0.0310336,
        0.0301053,
        0.0295076,
        0.028881,
        0.0288204,
        0.0290073,
        0.0290483,
        0.029078,
        0.0290078,
        0.0287461,
        0.0300824,
        0.0286713,
        0.0270422,
        0.0270507,
        0.027059,
        0.0272467,
        0.0274666,
        0.0277144,
        0.0276109,
        0.0294026,
        0.0298574,
        0.0278066,
        0.0276948,
        0.0280349,
        0.0282871,
        0.0283009,
        0.0289744,
        0.0312383,
        0.0342076,
        0.0369364,
        0.0433968,
        0.0499971,
        0.0544211,
        0.0524399,
        0.0468294,
        0.0402663,
        0.0357992,
        0.0343769,
        0.034553,
        0.0357489,
        0.0371643,
        0.0382322,
        0.0385065,
        0.0375785,
        0.0359581,
        0.0342332,
        0.0325442,
        0.031195,
        0.029954,
        0.0288989,
        0.0282855,
        0.027527,
        0.0270782,
        0.0267542,
        0.0264759,
        0.0267027,
        0.0265417,
        0.0267189,
        0.0278219,
        0.0292327,
        0.0315349,
        0.035591,
        0.0438815,
        0.0432929,
        0.0355394,
        0.0340607,
        0.0312111,
        0.0276826,
        0.0274252,
        0.0272581,
        0.027491,
        0.028083,
        0.0288207,
        0.0286939,
        0.028586,
        0.0282342,
        0.0281662,
        0.0279764,
        0.0282659,
        0.028453,
        0.0286463,
        0.0272782,
        0.0270701,
        0.0271263,
        0.0270658,
        0.0271416,
        0.027653,
        0.0276296,
        0.0287226,
        0.0301034,
        0.0325583,
        0.0343906,
        0.0332475,
        0.0321969,
        0.0306694,
        0.0300122,
        0.0304712,
        0.032231,
        0.0350015,
        0.0387811,
        0.0415176,
        0.0409267,
        0.0362623,
        0.0320244,
        0.0295949,
        0.0285273,
        0.0282365,
        0.0322297,
        0.0329593,
        0.0296671,
        0.0304383,
        0.0314023,
        0.0320603,
        0.035269,
        0.0331569,
        0.0297465,
        0.0290681,
        0.0290359,
        0.0296053,
        0.0316419,
        0.0350237,
        0.0404609,
        0.045175,
        0.0442866,
        0.0392848,
        0.0340649,
        0.0302693,
        0.0291285,
        0.0290425,
        0.0288721,
        0.0287012,
        0.0292946,
        0.0286042,
        0.0279723,
        0.0280801,
        0.0279286,
        0.0278431,
        0.0285559,
        0.0289817,
        0.0284873,
        0.0290896,
        0.0300803,
        0.0303514,
        0.0307339,
        0.0303071,
        0.030344,
        0.0319038,
        0.033972,
        0.036982,
        0.0397924,
        0.0398239,
        0.0370266,
        0.0333006,
        0.0312927,
        0.0303216,
        0.0299016,
        0.0302362,
        0.0310061,
        0.0320849,
        0.0338967,
        0.0377842,
        0.0449447,
        0.055151,
        0.0648246,
        0.0630915,
        0.0501732,
        0.0392247,
        0.0337444,
        0.0314965,
        0.0302344,
        0.0296181,
        0.0296092,
        0.0296139,
        0.029782,
        0.0302213,
        0.0305285,
        0.0305623,
        0.0304753,
        0.0306662,
        0.0313833,
        0.0328391,
        0.0350818,
        0.0388393,
        0.0440478,
        0.0474174,
        0.0446735,
        0.0390712,
        0.0364119,
        0.0406374,
        0.039246,
        0.0374885,
        0.0369451,
        0.036264,
        0.0360208,
        0.0353809,
        0.0346021,
        0.033633,
        0.0328166,
        0.0329257,
        0.0325065,
        0.0316937,
        0.0313896,
        0.0310511,
        0.0311065,
        0.0312312,
        0.0312925,
        0.0321005,
        0.033712,
        0.0364362,
        0.0395727,
        0.0413764,
        0.0401723,
        0.0372218,
        0.0346959,
        0.0340942,
        0.0340436,
        0.0342187,
        0.0346866,
        0.0360252,
        0.0382304,
        0.0434725,
        0.0482119,
        0.0492463,
        0.0464106,
        0.0434906,
        0.0447548,
        0.0494261,
        0.056144,
        0.0603352,
        0.0612979,
        0.0516799,
        0.0426877,
        0.0423427,
        0.0432015,
        0.0437701,
        0.0441831,
        0.0438257,
        0.0424173,
        0.0408271,
        0.039428,
        0.0381808,
        0.0394872,
        0.0377901,
        0.0357892,
        0.0402868,
        0.0378855,
        0.0347776,
        0.0352539,
        0.0348658,
        0.034349,
        0.0341243,
        0.0339687,
        0.0348608,
        0.0378733,
        0.037441,
        0.0352726,
        0.0358387,
        0.036699,
        0.0368747,
        0.0373668,
        0.0376401,
        0.0385667,
        0.0388283,
        0.0386992,
        0.0397103,
        0.0407755,
        0.0424484,
        0.0447593,
        0.0488447,
        0.0541996,
        0.0616426,
        0.0702958,
        0.0760288,
        0.0772504,
        0.0814094,
        0.0912609,
        0.100996,
        0.100708,
        0.0922456,
        0.0881193,
        0.0906491,
        0.100881,
        0.113864,
        0.131189,
        0.152348,
        0.175224,
        0.213432,
        0.182038,
        0.152315,
        0.134889,
        0.122337,
        0.11805,
        0.116912,
        0.11555,
        0.10732,
        0.0885636,
        0.0719225,
        0.0633777,
        0.0591799,
        0.057457,
        0.0514289,
        0.0490992,
        0.047759,
        0.0466448,
        0.0462124,
        0.0449963,
        0.0439669,
        0.0438709,
        0.0429607,
        0.0426256,
        0.0430641,
        0.0432355,
        0.042428,
        0.0418836,
        0.0422996,
        0.0447396,
        0.0464513,
        0.047577,
        0.0498165,
        0.0482219,
        0.0438275,
        0.0404295,
        0.0393649,
        0.0391872,
        0.038963,
        0.0392811,
        0.0397187,
        0.0404659,
        0.0428687,
        0.0466788,
        0.0504754,
        0.0562742,
        0.0590643,
        0.0546146,
        0.0482064,
        0.0438247,
        0.0422013,
        0.0415491,
        0.0412979,
        0.0408475,
        0.0404804,
        0.0400693,
        0.0399255,
        0.040153,
        0.0404257,
        0.0406981,
        0.041218,
        0.0426678,
        0.0460002,
        0.0512681,
        0.0587249,
        0.0636966,
        0.0591597,
        null,
        0.0306909,
        0.0305123,
        0.0308034,
        0.031733,
        0.0321699,
        0.0327772,
        0.0344427,
        0.0383632,
        0.044075,
        0.0471104,
        0.0430653,
        0.0369873,
        0.0336345,
        0.0326434,
        0.0329335,
        0.0333263,
        0.0338679,
        0.0342726,
        0.0340127,
        0.0330019,
        0.0320654,
        0.0312595,
        0.0305526,
        0.0299512,
        0.029446,
        0.0293187,
        0.0293337,
        0.0295945,
        0.0332307,
        0.0331209,
        0.0297461,
        0.0297892,
        0.0302598,
        0.030742,
        0.0316808,
        0.0337709,
        0.0372706,
        0.0421173,
        0.046562,
        0.0468306,
        0.0441754,
        0.0413463,
        0.0387012,
        0.0365337,
        0.0358179,
        0.0364447,
        0.0377165,
        0.0391892,
        0.0411136,
        0.0432842,
        0.0458551,
        0.0494959,
        0.0541996,
        0.0611374,
        0.0744995,
        0.0834788,
        0.0943769,
        0.11793,
        0.159146,
        0.182267,
        0.139191,
        0.114441,
        0.100702,
        0.0950132,
        0.0956167,
        0.0937079,
        0.0820657,
        0.0660847,
        0.0541316,
        0.0475148,
        0.0433772,
        0.0404587,
        0.0403914,
        0.0384452,
        0.0367033,
        0.0368554,
        0.0383255,
        0.0402704,
        0.0406915,
        0.0382565,
        0.0345159,
        0.0319224,
        0.0309415,
        0.0303462,
        0.029735,
        0.0291959,
        0.028751,
        0.0282922,
        0.0280283,
        0.0279957,
        0.028261,
        0.0290323,
        0.0305081,
        0.0337931,
        0.0398432,
        0.0485939,
        0.0547227,
        0.0495484,
        0.0387868,
        0.0319278,
        0.0289188,
        0.0275395,
        0.0268298,
        0.0263174,
        0.0258578,
        0.0257398,
        0.025581,
        0.0255553,
        0.0256993,
        0.0256116,
        0.0254627,
        0.0252314,
        0.0251596,
        0.0252071,
        0.0255192,
        0.0255677,
        0.025582,
        0.028639,
        0.0279085,
        0.0244653,
        0.0244525,
        0.0242979,
        0.0243158,
        0.0243149,
        0.024334,
        0.0247383,
        0.0268059,
        0.0268485,
        0.0249379,
        0.0248676,
        0.0245529,
        0.0244573,
        0.024455,
        0.0246875,
        0.0256733,
        0.0277782,
        0.0312061,
        0.0350373,
        0.0367921,
        0.0338089,
        0.0294994,
        0.0270922,
        0.0268456,
        0.0286289,
        0.0323607,
        0.0377439,
        0.0413052,
        0.0388834,
        0.0333733,
        0.0294272,
        0.0273281,
        0.0260346,
        0.0252072,
        0.0248361,
        0.0246518,
        0.0243338,
        0.0240616,
        0.0238406,
        0.0236839,
        0.0236113,
        0.0237382,
        0.0238187,
        0.0271742,
        0.0288017,
        0.0256071,
        0.0250122,
        0.0252894,
        0.0258779,
        0.0266453,
        0.027702,
        0.0288963,
        0.030116,
        0.0307695,
        0.031234,
        0.0326288,
        0.0352516,
        0.0386367,
        0.0405909,
        0.0371045,
        0.0314876,
        0.0276586,
        0.0260266,
        0.0288372,
        0.0280943,
        0.0241691,
        0.0247432,
        0.0254264,
        0.0268787,
        0.0289394,
        0.0305242,
        0.0297386,
        0.0267919,
        0.0243431,
        0.0233487,
        0.0228337,
        0.0224792,
        0.0221945,
        0.02216,
        0.0220931,
        0.0222081,
        0.0224902,
        0.0232049,
        0.0240787,
        0.0252241,
        0.0262839,
        0.0257686,
        0.0254828,
        0.0270292,
        0.0301255,
        0.0333128,
        0.0332838,
        0.0299236,
        0.0264943,
        0.0251218,
        0.0255865,
        0.028088,
        0.0322449,
        0.0369655,
        0.0372209,
        0.0324825,
        0.0274101,
        0.0248806,
        0.0238483,
        0.0234365,
        0.026788,
        0.0260313,
        0.0233576,
        0.0234831,
        0.0236693,
        0.0240477,
        0.0245147,
        0.0248192,
        0.0251985,
        0.0255759,
        0.026891,
        0.0271338,
        0.0262953,
        0.025773,
        0.0253952,
        0.0252115,
        0.0251456,
        0.0250843,
        0.0251436,
        0.0256869,
        0.0286561,
        0.0291349,
        0.0280407,
        0.0300686,
        0.033561,
        0.0376766,
        0.0402096,
        0.0408832,
        0.039876,
        0.0358249,
        0.0319331,
        0.0307016,
        0.034209,
        0.0337455,
        0.0288271,
        0.0284522,
        0.0281131,
        0.0275248,
        0.0269629,
        0.0267027,
        0.0264338,
        0.0262349,
        0.0260851,
        0.025828,
        0.0252562,
        0.0248533,
        0.0245185,
        0.02449,
        0.0245517,
        0.024967,
        0.0261988,
        0.0287636,
        0.0330299,
        0.0386866,
        0.0418612,
        0.0388219,
        0.0338884,
        0.0314579,
        0.0309776,
        0.0311308,
        0.0318018,
        0.032355,
        0.0332995,
        0.0355827,
        0.0391568,
        0.0437155,
        0.0452599,
        0.0411459,
        0.0357575,
        0.0335598,
        0.0348109,
        0.0383154,
        0.0420945,
        0.041288,
        0.036603,
        0.0329219,
        0.0329997,
        0.0405907,
        0.043528,
        0.0391187,
        0.0379553,
        0.034905,
        0.0330027,
        0.0332847,
        0.033568,
        0.0334546,
        0.0345208,
        0.0361455,
        0.0381153,
        0.0402994,
        0.041676,
        0.0425572,
        0.0449348,
        0.0482621,
        0.0532677,
        0.0639061,
        0.0811959,
        0.110498,
        0.164399,
        0.225864,
        0.143133,
        0.101169,
        0.0777718,
        0.0640935,
        0.0550874,
        0.0492113,
        0.0448355,
        0.0415556,
        0.0393656,
        0.0376555,
        0.0361428,
        0.034996,
        0.0336498,
        0.0325538,
        0.0317611,
        0.0308797,
        0.0300773,
        0.0295141,
        0.0291635,
        0.0288653,
        0.0287135,
        0.0284509,
        0.0281442,
        0.0280409,
        0.0274594,
        0.0268889,
        0.0264922,
        0.0261817,
        0.0259941,
        0.0263312,
        0.0274548,
        0.0294145,
        0.0319948,
        0.0335457,
        0.0332803,
        0.0327325,
        0.0336676,
        0.0359312,
        0.03711,
        0.0343752,
        0.0301784,
        0.0272711,
        0.0263375,
        0.0265915,
        0.0274348,
        0.0295274,
        0.0333587,
        0.0386686,
        0.0415598,
        0.0385756,
        0.0336075,
        0.0302079,
        0.0282322,
        0.0270032,
        0.0259984,
        0.0253756,
        0.0248253,
        0.0244949,
        0.0246159,
        0.0249789,
        0.0253526,
        0.0260128,
        0.026705,
        0.0272932,
        0.0276129,
        0.0274644,
        0.027046,
        0.0265783,
        0.0263959,
        0.0264688,
        0.0267567,
        0.0270237,
        0.0275277,
        0.0286457,
        0.0304221,
        0.0320319,
        0.0331332,
        0.033389,
        0.0336662,
        0.0353449,
        0.0389591,
        0.0440791,
        0.0472991,
        0.0446696,
        0.0400647,
        0.0382719,
        0.0387466,
        0.0405615,
        0.0428073,
        0.0445737,
        0.0430305,
        0.0387057,
        0.0351004,
        0.0340745,
        0.0346982,
        0.0361352,
        0.0373706,
        0.0373044,
        0.0374699,
        0.0375783,
        0.0372989,
        0.036407,
        0.0352178,
        0.0344204,
        0.0342168,
        0.0350211,
        0.0362063,
        0.0377344,
        0.0394098,
        0.0406699,
        0.0408378,
        0.0404446,
        0.0419133,
        0.046264,
        0.054476,
        0.0652078,
        0.0738752,
        0.0782751,
        0.0750386,
        0.064441,
        0.0532139,
        0.0478665,
        0.0462682,
        0.046909,
        0.0488839,
        0.0510998,
        0.053518,
        0.0553719,
        0.0554176,
        0.0554786,
        0.0560709,
        0.0580933,
        0.0617042,
        0.0657688,
        0.0700661,
        0.0731582,
        0.0740241,
        0.0747973,
        0.0782673,
        0.0838181,
        0.0891939,
        0.0945251,
        0.0986209,
        0.101727,
        0.105596,
        0.114785,
        0.128258,
        0.145279,
        0.16584,
        0.181648,
        0.18933,
        0.197644,
        0.21826,
        0.165544,
        0.141503,
        0.115382,
        0.0883762,
        0.0729101,
        0.0610745,
        0.0525218,
        0.0468923,
        0.0426878,
        0.039006,
        0.035899,
        0.0335813,
        0.031819,
        0.0307303,
        0.0296707,
        0.0291444,
        0.0287297,
        0.0293135,
        0.0297779,
        0.0304724,
        0.0330593,
        0.0363517,
        0.0396705,
        0.0387813,
        0.0331748,
        0.0280515,
        0.0253888,
        0.0243611,
        0.0238761,
        0.0238858,
        0.0242355,
        0.0247788,
        0.0253055,
        0.0253967,
        0.0246045,
        0.0237857,
        0.0235142,
        0.0241111,
        0.0274452,
        0.0321388,
        0.0335037,
        0.0381884,
        0.0422736,
        0.0433535,
        0.0450241,
        0.0479125,
        0.0439507,
        0.0349795,
        0.0280003,
        0.0245282,
        0.0227372,
        0.0218744,
        0.0215269,
        0.02132,
        0.0216074,
        0.0210448,
        0.0209335,
        0.0211626,
        0.0221621,
        0.0222843,
        0.0214482,
        0.0214427,
        0.0219902,
        0.0230848,
        0.025403,
        0.0291388,
        0.0330242,
        0.0337411,
        0.0299772,
        0.0262458,
        0.0249077,
        0.0254833,
        0.0276119,
        0.0300364,
        0.0296063,
        0.026649,
        0.0234242,
        0.0217124,
        0.0210121,
        0.0206609,
        0.0204522,
        0.0202881,
        0.0202374,
        0.0202302,
        0.0202996,
        0.0203495,
        0.0203182,
        0.0203911,
        0.0203776,
        0.0203573,
        0.0204576,
        0.020613,
        0.0207107,
        0.0208136,
        0.0208535,
        0.0209108,
        0.0210618,
        0.0213052,
        0.0216529,
        0.022071,
        0.0225714,
        0.0234138,
        0.0248425,
        0.0266591,
        0.0289739,
        0.0295526,
        0.02846,
        0.0270428,
        0.0266053,
        0.0277177,
        0.0280645,
        0.0280047,
        0.0290824,
        0.0307546,
        0.0329233,
        0.0354122,
        0.035776,
        0.0323696,
        0.0281241,
        0.0257783,
        0.0247997,
        0.0242999,
        0.0242366,
        0.0248821,
        0.0265881,
        0.0292329,
        0.0326148,
        0.0333642,
        0.0299977,
        0.0256292,
        0.0230834,
        0.0217511,
        0.0209548,
        0.020556,
        0.0202566,
        0.0200953,
        0.0199782,
        0.0200314,
        0.0201713,
        0.0202171,
        0.020158,
        0.0201466,
        0.0201512,
        0.0204858,
        0.0209628,
        0.0213241,
        0.0217051,
        0.0213425,
        0.021005,
        0.0209899,
        0.0209505,
        0.0208426,
        0.0208713,
        0.0209608,
        0.0212667,
        0.021827,
        0.0226041,
        0.0238096,
        0.0246614,
        0.0250997,
        0.0248054,
        0.0253104,
        0.0274254,
        0.0315934,
        0.0368683,
        0.0400335,
        0.0382686,
        0.0351851,
        0.0330133,
        0.0298391,
        0.0269301,
        0.0256691,
        0.0253216,
        0.0257609,
        0.026444,
        0.0274441,
        0.0286373,
        0.0307429,
        0.0337079,
        0.037686,
        0.042006,
        0.0442414,
        0.0423225,
        0.0375246,
        0.0331538,
        0.0303798,
        0.0291297,
        0.0273076,
        0.0262495,
        0.0258873,
        0.0258093,
        0.0260478,
        0.026836,
        0.0292864,
        0.0319425,
        0.0367087,
        0.0423893,
        0.0449137,
        0.0417661,
        0.0359887,
        0.030237,
        0.0258519,
        0.0234998,
        0.0224681,
        0.0220275,
        0.021821,
        0.0218187,
        0.0219335,
        0.0220312,
        0.0218288,
        0.0219941,
        0.0223359,
        0.0225286,
        0.0226652,
        0.0224094,
        0.0220166,
        0.021818,
        0.0217186,
        0.0220639,
        0.0219427,
        0.0217377,
        0.0219019,
        0.022075,
        0.0224398,
        0.0232429,
        0.0249383,
        0.0267855,
        0.0277543,
        0.0266524,
        0.0245994,
        0.0229888,
        0.0224029,
        0.0221005,
        0.0220163,
        0.022093,
        0.0222317,
        0.0222116,
        0.0227949,
        0.0239116,
        0.0259586,
        0.0286029,
        0.0307448,
        0.0298462,
        0.0269184,
        0.024308,
        0.0230984,
        0.0238713,
        0.0232023,
        0.0225501,
        0.0228316,
        0.0230836,
        0.0233276,
        0.0239825,
        0.0246849,
        0.025114,
        0.0251956,
        0.0250161,
        0.0250611,
        0.0252732,
        0.025758,
        0.0260255,
        0.0265153,
        0.0273155,
        0.0273346,
        0.0266456,
        0.0261864,
        0.0259714,
        0.0263761,
        0.0274237,
        0.0293019,
        0.0328755,
        0.0377129,
        0.0416339,
        0.040218,
        0.0348356,
        0.0306493,
        0.0297006,
        0.0290554,
        0.0278532,
        0.0281297,
        0.028119,
        0.0284601,
        0.0293189,
        0.030554,
        0.0324274,
        0.0345213,
        0.0356082,
        0.0355438,
        0.0348309,
        0.0343931,
        0.0346453,
        0.0359701,
        0.0385422,
        0.041221,
        0.0413536,
        0.0399983,
        0.0402187,
        0.0443868,
        0.0528547,
        0.0654929,
        0.0772461,
        0.0774918,
        0.0682747,
        0.0599878,
        0.0564435,
        0.0581253,
        0.0642982,
        0.0763513,
        0.0990275,
        0.131999,
        0.182192,
        0.182715,
        0.140768,
        0.110142,
        0.0799174,
        0.0644357,
        0.0580153,
        0.0546111,
        0.0536325,
        0.0548449,
        0.0582181,
        0.0630809,
        0.0687276,
        0.0696147,
        0.064548,
        0.0595483,
        0.0584523,
        0.0593636,
        0.0665493,
        0.0705527,
        0.0740396,
        0.0727524,
        0.0773925,
        0.0828697,
        0.0883631,
        0.0941099,
        0.10573,
        0.110853,
        0.104956,
        0.108542,
        0.112564,
        0.116695,
        0.124501,
        0.136006,
        0.152706,
        0.174203,
        0.205271,
        0.255125,
        0.311227,
        0.372618,
        0.37189,
        0.223789,
        0.201815,
        0.182533,
        0.167034,
        0.160098,
        0.153144,
        0.149345,
        0.150303,
        0.15627,
        0.166052,
        0.18109,
        0.199537,
        0.247967,
        0.183531,
        0.175288,
        0.172733,
        0.160645,
        0.136014,
        0.104832,
        0.0811612,
        0.067723,
        0.060705,
        0.0563903,
        0.0533812,
        0.0503334,
        0.0477118,
        0.0454077,
        0.0438018,
        0.0424217,
        0.041312,
        0.0397438,
        0.0386037,
        0.0380597,
        0.0381605,
        0.0383792,
        0.0385208,
        0.0379875,
        0.0367747,
        0.0365932,
        0.0366328,
        0.0371761,
        0.0391538,
        0.0420598,
        0.0465948,
        0.0492516,
        0.0456588,
        0.0389925,
        0.0351379,
        0.0334769,
        0.0343039,
        0.0361367,
        0.0395107,
        0.041903,
        0.0411727,
        0.037234,
        0.032453,
        0.0321339,
        0.0315911,
        0.0294047,
        0.0288389,
        0.0288537,
        0.027966,
        0.0281528,
        0.0277236,
        0.027507,
        0.0275126,
        0.027482,
        0.0271576,
        0.0266865,
        0.0264347,
        0.0265869,
        0.0271495,
        0.0281369,
        0.0295566,
        0.0308909,
        0.0305605,
        0.0283691,
        0.026293,
        0.0252984,
        0.0249042,
        0.0246473,
        0.0243971,
        0.0245969,
        0.0250766,
        0.0249998,
        0.0250163,
        0.0250512,
        0.0252505,
        0.0255345,
        0.0283263,
        0.0280671,
        0.0254651,
        0.0263775,
        0.0280854,
        0.0303007,
        0.0316258,
        0.0303316,
        0.0276532,
        0.0254866,
        0.0248521,
        0.0248584,
        0.0250336,
        0.0253158,
        0.0251833,
        0.0247962,
        0.0250061,
        0.025272,
        0.0252714,
        0.0271876,
        0.026592,
        0.024228,
        0.0243746,
        0.0243765,
        0.0244573,
        0.0245204,
        0.0248088,
        0.0249419,
        0.0255744,
        0.0260869,
        0.0263164,
        0.0267208,
        0.0272313,
        0.0285693,
        0.0305267,
        0.0332986,
        0.038437,
        0.0441618,
        0.0472588,
        0.0458311,
        0.0437963,
        0.0432643,
        0.0432579,
        0.0437046,
        0.0455383,
        0.0492791,
        0.0559346,
        0.0661036,
        0.0799951,
        0.100907,
        0.121526,
        0.117004,
        0.0906114,
        0.0699499,
        0.0574626,
        0.0507343,
        0.046577,
        0.0442644,
        0.0431125,
        0.0403854,
        0.0357965,
        0.0326529,
        0.0332356,
        0.0311298,
        0.0279433,
        0.0272687,
        0.0271205,
        0.0269353,
        0.0271345,
        0.0275156,
        0.0290322,
        0.0323268,
        0.0374925,
        0.0442495,
        0.0457879,
        0.0422402,
        0.0385058,
        0.0340066,
        0.0314091,
        0.0318935,
        0.0337496,
        0.0351386,
        0.032671,
        0.028649,
        0.0258612,
        0.0245056,
        0.0241103,
        0.0243518,
        0.0243721,
        0.0240677,
        0.0242976,
        0.024673,
        0.0251833,
        0.0253816,
        0.0251648,
        0.0252317,
        0.026525,
        0.0288391,
        0.0355027,
        0.0351777,
        0.0306162,
        0.0273755,
        0.0251177,
        0.0240859,
        0.0237622,
        0.0237195,
        0.0234682,
        0.0231672,
        0.0232795,
        0.0244238,
        0.0245127,
        0.02384,
        0.0274129,
        0.0277261,
        0.0254173,
        0.0264912,
        0.0281169,
        0.028453,
        0.0272809,
        0.0257844,
        0.024755,
        0.0244594,
        0.0246503,
        0.0249737,
        0.0259281,
        0.0277639,
        0.0278488,
        0.0258713,
        0.0260578,
        0.0265346,
        0.02694,
        0.0273796,
        0.0277957,
        0.0333492,
        0.031856,
        0.0274471,
        0.0273792,
        0.0279959,
        0.0298448,
        0.032729,
        0.035554,
        0.036776,
        0.034057,
        0.0309505,
        0.0290202,
        0.0280716,
        0.0279705,
        0.0282722,
        0.0291117,
        0.0306462,
        0.0333415,
        0.0373597,
        0.0423571,
        0.0442413,
        0.0407571,
        0.0362729,
        0.0341663,
        0.0332627,
        0.0375297,
        0.0375526,
        0.0341919,
        0.0345553,
        0.0354051,
        0.0363194,
        0.0375159,
        0.0384632,
        0.039476,
        0.041427,
        0.043825,
        0.0468482,
        0.0507426,
        0.0534814,
        0.0549418,
        0.056416,
        0.0589004,
        0.0623322,
        0.0678562,
        0.0744254,
        0.0836925,
        0.09408,
        0.107561,
        0.128456,
        0.158373,
        0.183831,
        0.144484,
        0.121133,
        0.106677,
        0.0947334,
        0.0839346,
        0.0761678,
        0.0695855,
        0.0638746,
        0.0588689,
        0.0560863,
        0.0535273,
        0.0510418,
        0.0492258,
        0.0487192,
        0.0491779,
        0.0524808,
        0.0557925,
        0.0608928,
        0.0634265,
        0.059278,
        0.053495,
        0.0505823,
        0.0510644,
        0.053432,
        0.0601385,
        0.0681828,
        0.070427,
        0.0693059,
        0.0805231,
        0.0992902,
        0.135203,
        0.18764,
        0.216063,
        0.152119,
        0.107557,
        0.0879073,
        0.0733397,
        0.0574347,
        0.0503199,
        0.0457298,
        0.0412654,
        0.0380908,
        0.0369382,
        0.0360355,
        0.036261,
        0.0366037,
        0.0366289,
        0.0351536,
        0.0323191,
        0.0304348,
        0.0292468,
        0.0287133,
        0.0285097,
        0.0281345,
        0.0279168,
        0.0274324,
        0.0269488,
        0.0265434,
        0.0261557,
        0.0260296,
        0.0261933,
        0.0262821,
        0.0259895,
        0.0262171,
        0.0264161,
        0.0269518,
        0.0270962,
        0.0267392,
        0.0265428,
        0.0264081,
        0.0266385,
        0.0279299,
        0.0302691,
        0.0328414,
        0.0327447,
        0.0305537,
        0.0276323,
        0.0262185,
        0.0256686,
        0.0255563,
        0.025519,
        0.0257285,
        0.0275209,
        0.0279609,
        0.0266583,
        0.0272132,
        0.0266565,
        0.0261582,
        0.0258519,
        0.025882,
        0.0259474,
        0.0261874,
        0.0262302,
        0.0264771,
        0.0269912,
        0.0277451,
        0.0286344,
        0.0299358,
        0.0313781,
        0.0366535,
        0.0384941,
        0.0379815,
        0.0375989,
        0.0427617,
        0.0470468,
        0.0485254,
        0.0463441,
        0.0449518,
        0.0466302,
        0.0505386,
        0.0560326,
        0.063715,
        0.07418,
        0.0900389,
        0.116817,
        0.156504,
        0.199585,
        0.164648,
        0.118132,
        0.089653,
        0.0723558,
        0.0619906,
        0.0563239,
        0.0532493,
        0.0497503,
        0.0449471,
        0.0446833,
        0.0408742,
        0.035205,
        0.0316678,
        0.0308378,
        0.0301639,
        0.029284,
        0.0289497,
        0.0286433,
        0.0284836,
        0.0285303,
        0.0289661,
        0.0290545,
        0.0286632,
        0.0279965,
        0.0277591,
        0.0277708,
        0.028478,
        0.030194,
        0.0347404,
        0.0373829,
        0.040103,
        0.0415296,
        0.0406625,
        0.0419,
        0.0495411,
        0.0466821,
        0.0387406,
        0.032693,
        0.0288581,
        0.0273714,
        0.0264535,
        0.0258762,
        0.0255137,
        0.0254986,
        0.0287757,
        0.028963,
        0.0249133,
        0.0256522,
        0.0263373,
        0.0256952,
        0.0255256,
        0.0264571,
        0.0276962,
        0.0295213,
        0.0316009,
        0.0323954,
        0.0309707,
        0.0283814,
        0.0262467,
        0.0253444,
        0.0253092,
        0.0255219,
        0.0259554,
        0.0269262,
        0.028119,
        0.0291785,
        0.0297726,
        0.0309506,
        0.0282474,
        0.0258902,
        0.0257256,
        0.026358,
        0.0268116,
        0.0275213,
        0.0276377,
        0.0276429,
        0.0273817,
        0.0276503,
        0.0279309,
        0.0286676,
        0.0302711,
        0.0314769,
        0.0329833,
        0.0340232,
        0.0346077,
        0.0343688,
        0.0347654,
        0.0358801,
        0.0379436,
        0.0404568,
        0.0437902,
        0.0474963,
        0.0518997,
        0.0568435,
        0.0622544,
        0.0718299,
        0.0861738,
        0.104112,
        0.121312,
        0.146308,
        0.179969,
        0.137532,
        0.111925,
        0.0973397,
        0.0863175,
        0.0736239,
        0.0605001,
        0.0487568,
        0.0420858,
        0.0389689,
        0.0378429,
        0.0373756,
        0.0366573,
        0.0357864,
        0.0344685,
        0.0318679,
        0.0296952,
        0.0287796,
        0.029165,
        0.0284396,
        0.027001,
        0.0264066,
        0.0266626,
        0.0296826,
        0.0296326,
        0.0259749,
        0.0253182,
        0.0252628,
        0.0251918,
        0.0247849,
        0.0247716,
        0.0247576,
        0.025045,
        0.0254067,
        0.0256146,
        0.025916,
        0.02591,
        0.0258408,
        0.0259659,
        0.0263329,
        0.0265754,
        0.0272978,
        0.0285175,
        0.0300748,
        0.0323692,
        0.0334107,
        0.0321801,
        0.0300847,
        0.0283643,
        0.0277192,
        0.0285693,
        0.0295146,
        0.0295445,
        0.0369693,
        0.0399935,
        0.0372619,
        0.0377994,
        0.0351821,
        0.032069,
        0.0302144,
        0.0296344,
        0.0298779,
        0.0301054,
        0.030747,
        0.0313744,
        0.0317858,
        0.032647,
        0.0363386,
        0.0355579,
        0.0325036,
        0.0339063,
        0.0360607,
        0.0395147,
        0.0438334,
        0.0470091,
        0.0465543,
        0.0414876,
        0.035409,
        0.0315314,
        0.0293923,
        0.028891,
        0.0277793,
        0.0272007,
        0.026428,
        0.0260177,
        0.0258864,
        0.0259695,
        0.0256701,
        0.0253979,
        0.0255976,
        0.0259361,
        0.0269565,
        0.028536,
        0.0305263,
        0.0324791,
        0.033228,
        0.0312153,
        0.0280454,
        0.0263988,
        0.0261626,
        0.0265189,
        0.0273431,
        0.028578,
        0.0301106,
        0.0296426,
        0.0284737,
        0.0265836,
        0.0256043,
        0.0256393,
        0.0254718,
        0.0256136,
        0.0255309,
        0.0256379,
        0.0269605,
        0.0274852,
        0.0261559,
        0.0262255,
        0.0265733,
        0.0272711,
        0.0275551,
        0.0270641,
        0.0264773,
        0.0264006,
        0.0261562,
        0.0261209,
        0.0263316,
        0.0264469,
        0.0268905,
        0.0268303,
        0.0264221,
        0.0259815,
        0.0259081,
        0.0262728,
        0.0264057,
        0.0271096,
        0.028546,
        0.0307004,
        0.034895,
        0.0354593,
        0.0315857,
        0.0289987,
        0.0271688,
        0.0262942,
        0.02588,
        0.0258201,
        0.0260881,
        0.0263603,
        0.0264436,
        0.0270231,
        0.0271626,
        0.0276303,
        0.028201,
        0.0286144,
        0.0288699,
        0.029349,
        0.0287796,
        0.0273421,
        0.0270049,
        0.0271228,
        0.027256,
        0.0273101,
        0.0281737,
        0.0297102,
        0.0316269,
        0.0344609,
        0.0375712,
        0.041105,
        0.0407004,
        0.0376365,
        0.0351873,
        0.0345066,
        0.0349252,
        0.0362797,
        0.0375546,
        0.0399629,
        0.0422344,
        0.0498877,
        0.0541673,
        0.050353,
        0.0527612,
        0.0548832,
        0.059411,
        0.0630907,
        0.0652552,
        0.0724651,
        0.0841591,
        0.101413,
        0.127258,
        0.171754,
        0.145013,
        0.107851,
        0.0856599,
        0.0720366,
        0.0630336,
        0.0559715,
        0.0504341,
        0.0475316,
        0.0448264,
        0.042619,
        0.0405253,
        0.0391093,
        0.0384535,
        0.036739,
        0.0353299,
        0.0342806,
        0.0333449,
        0.0326083,
        0.0325602,
        0.0321046,
        0.0320318,
        0.0336328,
        0.0363412,
        0.0397894,
        0.0434948,
        0.0498177,
        0.0520654,
        0.0493346,
        0.0433745,
        0.0372952,
        0.0331355,
        0.0316158,
        0.032052,
        0.0340851,
        0.0359384,
        0.03745,
        0.0409846,
        0.036371,
        0.0308109,
        0.0293735,
        0.0285139,
        0.0281468,
        0.0281053,
        0.0281362,
        0.0281344,
        0.0284694,
        0.0288928,
        0.0291981,
        0.0301337,
        0.0321775,
        0.0358168,
        0.0391962,
        0.0412613,
        0.0423781,
        0.0410026,
        0.0376516,
        0.0344642,
        0.0331476,
        0.032443,
        0.0327019,
        0.0335018,
        0.0344457,
        0.0356545,
        0.0375612,
        0.0402077,
        0.0430385,
        0.0443505,
        0.0455756,
        0.0449826,
        0.0417012,
        0.0394368,
        0.0377493,
        0.0362132,
        0.0344166,
        0.0333272,
        0.0320803,
        0.0308671,
        0.0302773,
        0.0298654,
        0.0293469,
        0.0291343,
        0.0291799,
        0.0291526,
        0.0290958,
        0.0292566,
        0.0290896,
        0.0287443,
        0.0286239,
        0.0288957,
        0.0296142,
        0.0306218,
        0.0325178,
        0.0347203,
        0.0358415,
        0.0344344,
        0.0322312,
        0.0310675,
        0.0299318,
        0.0294393,
        0.0294966,
        0.030592,
        0.0327541,
        0.0357489,
        0.0393852,
        0.0416252,
        0.0400853,
        0.0358024,
        0.0320392,
        0.0298969,
        0.0287895,
        0.0282754,
        0.0282675,
        0.0282664,
        0.0285509,
        0.028587,
        0.0286306,
        0.02859,
        0.0288713,
        0.0288339,
        0.0287741,
        0.0286504,
        0.0288709,
        0.0289201,
        0.0289752,
        0.0290919,
        0.0291884,
        0.0297746,
        0.0307496,
        0.030422,
        0.0300311,
        0.0304519,
        0.0306748,
        0.0309394,
        0.0311168,
        0.0308161,
        0.0308241,
        0.0325944,
        0.0329194,
        0.0299403,
        0.0301437,
        0.0308284,
        0.0315481,
        0.0326666,
        0.0343171,
        0.0360091,
        0.037044,
        0.0357798,
        0.0341003,
        0.0353188,
        0.0341234,
        0.0312981,
        0.03131,
        0.0313019,
        0.0317778,
        0.0324012,
        0.0333646,
        0.0340788,
        0.0354228,
        0.0381393,
        0.0412192,
        0.0425675,
        0.040744,
        0.0373709,
        0.035402,
        0.0346239,
        0.0348679,
        0.0351844,
        0.0355709,
        0.0363434,
        0.0372683,
        0.0385121,
        0.0411251,
        0.0441404,
        0.0489963,
        0.0559156,
        0.0643227,
        0.0706774,
        0.0704881,
        0.0682769,
        0.0660318,
        0.0649302,
        0.0647125,
        0.0653392,
        0.0676927,
        0.0727487,
        0.0821777,
        0.0935997,
        0.11079,
        0.139256,
        0.148994,
        0.122105,
        0.106043,
        0.0979667,
        0.0940295,
        0.089481,
        0.0828474,
        0.0747776,
        0.076454,
        0.0655083,
        0.05208,
        0.0491324,
        0.0475655,
        0.0467896,
        0.0460917,
        0.0466229,
        0.0472502,
        0.0475982,
        0.0472082,
        0.047549,
        0.0505367,
        0.0488814,
        0.0464559,
        0.0470182,
        0.0482753,
        0.0506121,
        0.0530568,
        0.0572954,
        0.0608155,
        0.0659646,
        0.0721742,
        0.0791117,
        0.0919271,
        0.109827,
        0.136867,
        0.177919,
        0.199886,
        0.17136,
        0.160298,
        0.15777,
        0.154639,
        0.163009,
        0.187425,
        0.254694,
        0.313598,
        0.259542,
        0.213705,
        0.173842,
        0.149105,
        0.128831,
        0.111501,
        0.0980113,
        0.0874934,
        0.0784534,
        0.071717,
        0.066577,
        0.0647496,
        0.0644899,
        0.0652623,
        0.06753,
        0.0659419,
        0.0596341,
        0.0533058,
        0.0496105,
        0.0469914,
        0.0455527,
        0.0439379,
        0.0433203,
        0.0424101,
        0.041766,
        0.041027,
        0.0405051,
        0.0398149,
        0.0392997,
        0.0387755,
        0.0387437,
        0.0403918,
        0.038792,
        0.037603,
        0.0378961,
        0.0377159,
        0.0373421,
        0.0370888,
        0.0371831,
        0.038016,
        0.0393814,
        0.0415299,
        0.0430308,
        0.0419256,
        0.0394321,
        0.0369482,
        0.0359036,
        0.0359603,
        0.0357415,
        0.0360845,
        0.0363118,
        0.0379488,
        0.0422072,
        0.0384893,
        0.0359741,
        0.035942,
        0.0354361,
        0.0353796,
        0.0356129,
        0.0367898,
        0.036833,
        0.0365302,
        0.0352915,
        0.0353329,
        0.0352416,
        0.0355515,
        0.0356104,
        0.0360796,
        0.0373821,
        0.0423184,
        0.0470942,
        0.0466079,
        0.046906,
        0.046685,
        0.0435551,
        0.0405155,
        0.0393349,
        0.0400894,
        0.0421409,
        0.0448816,
        0.0484997,
        0.0505712,
        0.048441,
        0.0450152,
        0.0431546,
        0.0422875,
        0.0417387,
        0.0404817,
        0.0399246,
        0.0405624,
        0.0417317,
        0.04359,
        0.0464689,
        0.048876,
        0.0482416,
        0.0451827,
        0.0431821,
        0.0431032,
        0.0437411,
        0.04402,
        0.0443741,
        0.0434542,
        0.0422512,
        0.0424432,
        0.0441558,
        0.0476984,
        0.0516906,
        0.0529968,
        0.0503849,
        0.0479895,
        0.0469153,
        0.0465311,
        0.0472224,
        0.0489938,
        0.0511486,
        0.0539105,
        0.0569367,
        0.0611391,
        0.0650319,
        0.0657588,
        0.0648893,
        0.0641254,
        0.0645383,
        0.0649454,
        0.0657188,
        0.0684623,
        0.0730794,
        0.0788411,
        0.0870372,
        0.0989349,
        0.11844,
        0.145561,
        0.184109,
        0.22965,
        0.167573,
        0.127354,
        0.106392,
        0.0931794,
        0.0850576,
        0.0815888,
        0.0807323,
        0.078569,
        0.0711683,
        0.0621669,
        null,
        0.159328,
        0.139311,
        0.122454,
        0.111797,
        0.108528,
        0.111068,
        0.118475,
        0.133515,
        0.15834,
        0.210478,
        0.182619,
        0.143936,
        0.120493,
        0.105934,
        0.0980114,
        0.0955292,
        0.097804,
        0.105479,
        0.117921,
        0.139851,
        0.174865,
        0.219023,
        0.180782,
        0.163247,
        0.159768,
        0.165166,
        0.174062,
        0.185349,
        null,
        0.149664,
        0.126434,
        0.110159,
        0.0975006,
        0.0868394,
        0.0793817,
        0.0722614,
        0.0666694,
        0.0622105,
        0.0587285,
        0.0600563,
        0.0567026,
        0.0495468,
        0.0478315,
        0.0460802,
        0.044442,
        0.0432431,
        0.0422991,
        0.0414923,
        0.0409232,
        0.0404298,
        0.0400513,
        0.0395073,
        0.0383406,
        0.0373293,
        0.0372381,
        0.0373442,
        0.0380284,
        0.0379237,
        0.0368425,
        0.0372355,
        0.0365802,
        0.0343587,
        0.0339277,
        0.0338056,
        0.0336938,
        0.0338617,
        0.0340658,
        0.0342313,
        0.034484,
        0.0341229,
        0.0334897,
        0.0331928,
        0.0330344,
        0.0350525,
        0.0343504,
        0.0330169,
        0.0333117,
        0.034453,
        0.0358759,
        0.0372633,
        0.0395238,
        0.0427029,
        0.0467433,
        0.0511398,
        0.0520912,
        0.048311,
        0.0431711,
        0.0391701,
        0.0363167,
        0.0342247,
        0.0327624,
        0.03152,
        0.0304186,
        0.0297966,
        0.0295575,
        0.0291554,
        0.0287951,
        0.0287988,
        0.0288233,
        0.0293851,
        0.0335061,
        0.033784,
        0.030237,
        0.0306323,
        0.0306479,
        0.0299203,
        0.0291096,
        0.0287983,
        0.028747,
        0.0287901,
        0.0287725,
        0.028462,
        0.0281426,
        0.0280177,
        0.0284109,
        0.0299915,
        0.03198,
        0.0330386,
        0.0349442,
        0.0349853,
        0.0339327,
        0.0323047,
        0.0315204,
        0.0320396,
        0.0335804,
        0.0356336,
        0.0376578,
        0.0388787,
        0.0393645,
        0.0417408,
        0.0429955,
        0.0437801,
        0.0449053,
        0.0440887,
        0.0417414,
        0.0389021,
        0.0366296,
        0.0349955,
        0.0339527,
        0.033065,
        0.0326309,
        0.0318207,
        0.030221,
        0.0291554,
        0.0285027,
        0.0283149,
        0.0281017,
        0.0276431,
        0.0271674,
        0.0267814,
        0.0264008,
        0.0271146,
        0.0271079,
        0.0265409,
        0.027228,
        0.0320643,
        0.0328942,
        0.028035,
        0.027688,
        0.0282062,
        0.0289906,
        0.0286927,
        0.0274684,
        0.0261542,
        0.0254907,
        0.025487,
        0.0258177,
        0.0263066,
        0.0266848,
        0.027065,
        0.0274713,
        0.0277939,
        0.027905,
        0.0279523,
        0.0280116,
        0.0279104,
        0.0278242,
        0.0276972,
        0.0276835,
        0.0281127,
        0.0320483,
        0.0324234,
        0.0292389,
        0.0300228,
        0.0308104,
        0.0321114,
        0.0338943,
        0.037837,
        0.0408075,
        0.0424548,
        0.0481186,
        0.0549895,
        0.0615146,
        0.0623995,
        0.0567795,
        0.0492817,
        0.0436761,
        0.0403907,
        0.0385678,
        0.0367645,
        0.0374239,
        0.0345535,
        0.0311104,
        0.0323388,
        0.0322842,
        0.0300021,
        0.029397,
        0.0287209,
        0.0280827,
        0.0274396,
        0.0271383,
        0.026809,
        0.026432,
        0.0261182,
        0.0259998,
        0.025899,
        0.0261085,
        0.0268175,
        0.0278059,
        0.0286126,
        0.0286818,
        0.02806,
        0.0278691,
        0.0282481,
        0.0293974,
        0.0297704,
        0.028739,
        0.0272885,
        0.0264029,
        0.026177,
        0.0261831,
        0.0263986,
        0.0269869,
        0.0276947,
        0.0289481,
        0.0301365,
        0.0308373,
        0.030492,
        0.0299427,
        0.0299515,
        0.0304075,
        0.0311604,
        0.0320729,
        0.0331233,
        0.0337436,
        0.0340392,
        0.0337713,
        0.0334259,
        0.0334335,
        0.0345042,
        0.0363251,
        0.0388324,
        0.0419434,
        0.0444121,
        0.0468278,
        0.0477639,
        0.0449156,
        0.0428917,
        0.0413488,
        0.0404306,
        0.0404124,
        0.040525,
        0.0396091,
        0.037441,
        0.0353968,
        0.0346288,
        0.0339865,
        0.034167,
        0.0343831,
        0.0348065,
        0.0355253,
        0.0415846,
        0.0429915,
        0.039297,
        0.0407415,
        0.0483846,
        0.0488496,
        0.043056,
        0.0437644,
        0.0447204,
        0.0465742,
        0.0489536,
        0.0515505,
        0.053618,
        0.0546022,
        0.0546986,
        0.0555681,
        0.0587207,
        0.062036,
        0.0659815,
        0.0717869,
        0.0788455,
        0.089363,
        0.103307,
        0.117491,
        0.131184,
        0.155124,
        0.188666,
        0.226191,
        0.180737,
        0.150611,
        0.126834,
        0.111971,
        0.100957,
        0.0916446,
        0.0850297,
        0.0800468,
        0.0743042,
        0.0700702,
        0.067707,
        0.0664703,
        0.0650612,
        0.0628663,
        0.0602488,
        0.0578697,
        0.0563338,
        0.0550976,
        0.0551871,
        0.0636934,
        0.0594406,
        0.0494489,
        0.0476225,
        0.0458962,
        0.0459662,
        0.0454928,
        0.0445166,
        0.0443101,
        0.0444492,
        0.0442066,
        0.0444089,
        0.0450482,
        0.0464294,
        0.0485929,
        0.0512874,
        0.0555175,
        0.0621926,
        0.072463,
        0.0865815,
        0.108795,
        0.144843,
        0.147623,
        0.106884,
        0.0795761,
        0.0633676,
        0.0549478,
        0.049653,
        0.0454686,
        0.0421079,
        0.0396601,
        0.0386587,
        0.0376791,
        0.0359597,
        0.0351262,
        0.034675,
        0.0343108,
        0.0344304,
        0.0343268,
        0.0345828,
        0.0346397,
        0.0344248,
        0.034181,
        0.033434,
        0.0326834,
        0.0321542,
        0.0318913,
        0.031531,
        0.0311823,
        0.0307777,
        0.0305228,
        0.030211,
        0.0299179,
        0.0295198,
        0.0292991,
        0.0293879,
        0.0294916,
        0.030099,
        0.0305467,
        0.0306342,
        0.0311915,
        0.0316887,
        0.0323286,
        0.0346284,
        0.0365549,
        0.0374854,
        0.041131,
        0.0461234,
        0.0518007,
        0.0586003,
        0.0671448,
        0.0801983,
        0.0944766,
        0.100618,
        0.0954405,
        0.0840303,
        0.0725874,
        0.0649713,
        0.0608797,
        0.0575378,
        0.0536793,
        0.0490763,
        0.0440147,
        0.0399708,
        0.0371424,
        0.034972,
        0.0331176,
        0.0317106,
        0.0305737,
        0.0299046,
        0.0295193,
        0.0305865,
        0.0300199,
        0.0281703,
        0.0277393,
        0.0274112,
        0.02763,
        0.0276915,
        0.0277843,
        0.028622,
        0.0301692,
        0.0315711,
        0.0328189,
        0.0323118,
        0.0309245,
        0.0297075,
        0.0292033,
        0.0294644,
        0.0302734,
        0.031462,
        0.0331519,
        0.0349749,
        0.0375287,
        0.0400515,
        0.0422112,
        0.0426946,
        0.0407017,
        0.0380919,
        0.0354058,
        0.0335225,
        0.0326302,
        0.0343053,
        0.0331062,
        0.0315023,
        0.0306604,
        0.0297918,
        0.0295214,
        0.0291009,
        0.0289752,
        0.029122,
        0.0294002,
        0.0298063,
        0.030067,
        0.0304664,
        0.0309118,
        0.0315948,
        0.0322761,
        0.0331112,
        0.034295,
        0.0357944,
        0.0375522,
        0.0399451,
        0.0427569,
        0.046007,
        0.0495257,
        0.0529833,
        0.0563386,
        0.0653566,
        0.0705504,
        0.0804637,
        0.096681,
        0.115381,
        0.13794,
        0.162897,
        0.180745,
        0.189713,
        0.184192,
        0.165229,
        0.149199,
        0.122762,
        0.0955223,
        0.0813254,
        0.0709442,
        0.0636327,
        0.0581708,
        0.0541321,
        0.0524076,
        0.0504281,
        0.0485014,
        0.046315,
        0.0442311,
        0.0413269,
        0.0387247,
        0.0370384,
        0.0357527,
        0.0349231,
        0.0347292,
        0.0349573,
        0.0352722,
        0.0357351,
        0.0363458,
        0.0373739,
        0.0387795,
        0.0405112,
        0.0425767,
        0.045734,
        0.0495513,
        0.0555233,
        0.0631542,
        0.0741045,
        0.0891791,
        0.110711,
        0.141878,
        0.198328,
        0.140145,
        0.105074,
        0.086282,
        0.0720771,
        0.0599054,
        0.0530669,
        0.0481104,
        0.0449063,
        0.0431663,
        0.0424292,
        0.0409642,
        0.0391351,
        0.0366807,
        0.0349314,
        0.0334229,
        0.0335795,
        0.0327749,
        0.0314045,
        0.0314376,
        0.0313707,
        0.0309395,
        0.0303492,
        0.0299964,
        0.0297913,
        0.0298818,
        0.0304758,
        0.0340749,
        0.0335137,
        0.0293976,
        0.0286778,
        0.027806,
        0.0269821,
        0.0263611,
        0.026172,
        0.0274018,
        0.0277052,
        0.0262598,
        0.0254842,
        0.0263265,
        0.0263619,
        0.025158,
        0.0251932,
        0.0251755,
        0.0253438,
        0.0254479,
        0.0258324,
        0.0264443,
        0.0277259,
        0.0291275,
        0.0311347,
        0.0336128,
        0.035978,
        0.0376326,
        0.0392743,
        0.0401027,
        0.039085,
        0.0363328,
        0.0333992,
        0.0314594,
        0.0303054,
        0.0291101,
        0.0284891,
        0.0280754,
        0.0279646,
        0.0283043,
        0.0288685,
        0.0286088,
        0.0291361,
        0.0300322,
        0.0305159,
        0.0301231,
        0.0288175,
        0.0283029,
        0.0279683,
        0.0281443,
        0.0289874,
        0.0299258,
        0.0313005,
        0.0327512,
        0.0342318,
        0.0352141,
        0.0363786,
        0.0357986,
        0.0337614,
        0.0315078,
        0.0294527,
        0.0280255,
        0.0267244,
        0.025807,
        0.0250748,
        0.0246655,
        0.0243516,
        0.0243222,
        0.0245824,
        0.0247434,
        0.0247538,
        0.0244866,
        0.0239011,
        0.0238123,
        0.0239358,
        0.0241787,
        0.0241341,
        0.0245609,
        0.0251853,
        0.02616,
        0.0271474,
        0.0279931,
        0.0283981,
        0.0283293,
        0.0280452,
        0.0270155,
        0.026549,
        0.02635,
        0.0263628,
        0.0265842,
        0.0271349,
        0.02784,
        0.0286521,
        0.0289141,
        0.0291845,
        0.0290242,
        0.0283693,
        0.027261,
        0.0267733,
        0.0269865,
        0.0276792,
        0.0278855,
        0.0278716,
        0.0276339,
        0.0269926,
        0.0270241,
        0.0273106,
        0.0291185,
        0.0292442,
        0.0257325,
        0.0256979,
        0.028011,
        0.0282492,
        0.0268674,
        0.0279122,
        0.029093,
        0.0301686,
        0.0306167,
        0.0303164,
        0.0301874,
        0.0303833,
        0.0306928,
        0.0311205,
        0.0311186,
        0.031397,
        0.0315474,
        0.0313589,
        0.0313913,
        0.0316545,
        0.0322819,
        0.0338092,
        0.0371845,
        0.0380678,
        0.038479,
        0.0388655,
        0.0394915,
        0.0412973,
        0.0444732,
        0.0483177,
        0.0539161,
        0.060638,
        0.0688646,
        0.081581,
        0.0995291,
        0.127848,
        0.162785,
        0.127559,
        0.103413,
        0.0866501,
        0.074455,
        0.066134,
        0.059793,
        0.0550713,
        0.0507392,
        0.0514911,
        0.0482031,
        0.0420534,
        0.0405933,
        0.0396806,
        0.0382731,
        0.036944,
        0.0352608,
        0.0340247,
        0.0332417,
        0.0324622,
        0.0312631,
        0.0305847,
        0.0302255,
        0.0309439,
        0.0317476,
        0.0325459,
        0.0327097,
        0.0318016,
        0.0297264,
        0.028132,
        0.0269629,
        0.0264432,
        0.0261388,
        0.0263771,
        0.0264491,
        0.0265385,
        0.0300679,
        0.032387,
        0.028242,
        0.0266659,
        0.0269581,
        0.0274277,
        0.0279884,
        0.028841,
        0.0301899,
        0.0318458,
        0.0344008,
        0.0366828,
        0.038614,
        0.0399085,
        0.0395357,
        0.0387286,
        0.0367775,
        0.0347739,
        0.0330736,
        0.0313423,
        0.0303052,
        0.0294665,
        0.028985,
        0.0289951,
        0.0289709,
        0.0285779,
        0.0287213,
        0.0295399,
        0.0308443,
        0.0326054,
        0.0355872,
        0.0431174,
        0.0443255,
        0.0421395,
        0.0407938,
        0.0388191,
        0.0368079,
        0.0338995,
        0.0342002,
        0.0307068,
        0.0279462,
        0.0272015,
        0.0267717,
        0.0263056,
        0.0266255,
        0.0296413,
        0.0282112,
        0.0256878,
        0.0264119,
        0.0292344,
        0.0317426,
        0.031623,
        0.02765,
        0.0282127,
        0.0290723,
        0.0325753,
        0.0321957,
        0.0304758,
        0.0291714,
        0.0284922,
        0.0290276,
        0.0259611,
        0.024941,
        0.0245792,
        0.0221753,
        0.025005,
        0.028428,
        0.0251495,
        0.0256207,
        0.0262252,
        0.026565,
        0.0269479,
        0.0272563,
        0.0269787,
        0.0266524,
        0.0261815,
        0.0256622,
        0.0256977,
        0.0265704,
        0.0262222,
        0.0261706,
        0.026029,
        0.0256511,
        0.0256549,
        0.0265284,
        0.0274571,
        0.0279037,
        0.0285611,
        0.0292807,
        0.0298095,
        0.0286986,
        0.0286431,
        0.0290736,
        0.0292966,
        0.029265,
        0.0299602,
        0.0309897,
        0.0322005,
        0.0329151,
        0.0331678,
        0.0326206,
        0.0309372,
        0.0298546,
        0.0295888,
        0.0303552,
        0.0309883,
        0.0313683,
        0.0314041,
        0.0340013,
        0.034802,
        0.0306345,
        0.0307019,
        0.0308212,
        0.0312794,
        0.0320763,
        0.0328546,
        0.0334963,
        0.0337967,
        0.0342782,
        0.0349326,
        0.0394041,
        0.0403826,
        0.0388914,
        0.0413852,
        0.0475934,
        0.0500824,
        0.0495796,
        0.05479,
        0.0606402,
        0.066907,
        0.0757669,
        0.0878958,
        0.104578,
        0.132587,
        0.181264,
        0.159654,
        0.120948,
        0.0988788,
        0.0847719,
        0.0731879,
        0.0674209,
        0.0610527,
        0.0561556,
        0.0542065,
        0.0513558,
        0.0496873,
        0.0506809,
        0.0502781,
        0.0507449,
        0.0542744,
        0.05857,
        0.0646205,
        0.0713901,
        0.0776044,
        0.0765497,
        0.0683462,
        0.0609956,
        0.0527125,
        0.0466158,
        0.0444884,
        0.0414622,
        0.038164,
        0.0361171,
        0.0355748,
        0.0353343,
        0.0354046,
        0.0356077,
        0.0364313,
        0.0370308,
        0.0369868,
        0.0412407,
        0.0383311,
        0.0354817,
        0.03452,
        0.0324508,
        0.0330745,
        0.0344123,
        0.0357878,
        0.037378,
        0.0423769,
        0.0427376,
        0.0416487,
        0.0409451,
        0.037677,
        0.0407839,
        0.040134,
        0.0359196,
        0.0359723,
        0.0377028,
        0.0378776,
        0.0375759,
        0.0384281,
        0.0387829,
        0.0378938,
        0.0366185,
        0.0350136,
        0.0334857,
        0.0310085,
        0.0306851,
        0.029596,
        0.0292425,
        0.0295467,
        0.0297514,
        0.0303206,
        0.0301559,
        0.0296783,
        0.0293064,
        0.0298728,
        0.0311543,
        0.0319731,
        0.0322422,
        0.0322419,
        0.0314347,
        0.0301098,
        0.0292396,
        0.0286741,
        0.0278998,
        0.027366,
        0.027034,
        0.0265461,
        0.0263248,
        0.0270404,
        0.0290963,
        0.0287035,
        0.0268476,
        0.0267043,
        0.0265532,
        0.0261273,
        0.025894,
        0.0257228,
        0.0255885,
        0.0254746,
        0.0253914,
        0.0253957,
        0.0250224,
        0.0248932,
        0.0250853,
        0.0250367,
        0.025421,
        0.025364,
        0.0251579,
        0.0252977,
        0.0251791,
        0.0252224,
        0.0253104,
        0.0255164,
        0.0256328,
        0.0262933,
        0.0265109,
        0.0263303,
        0.026817,
        0.0273194,
        0.0279739,
        0.028608,
        0.0292162,
        0.0299107,
        0.0300952,
        0.030204,
        0.0299717,
        0.0298013,
        0.0300237,
        0.0303929,
        0.0304713,
        0.0305574,
        0.0305919,
        0.0310563,
        0.0316125,
        0.0328412,
        0.0356444,
        0.0363658,
        0.0336679,
        0.0338541,
        0.0339585,
        0.0345617,
        0.0353335,
        0.0352343,
        0.0350413,
        0.0354847,
        0.036526,
        0.0379954,
        0.0388724,
        0.0394799,
        0.0387524,
        0.0386455,
        0.0416752,
        0.0425921,
        0.0395181,
        0.0396206,
        0.0401069,
        0.0408987,
        0.0429231,
        0.0518565,
        0.0535779,
        0.0496742,
        0.0527545,
        0.0561182,
        0.0593773,
        0.0615908,
        0.0677118,
        0.0757356,
        0.08639,
        0.0989538,
        0.112366,
        0.131479,
        0.152671,
        0.190637,
        0.163126,
        0.130021,
        0.107953,
        0.0924326,
        0.0822546,
        0.0735798,
        0.0666908,
        0.0621975,
        0.0582016,
        0.055376,
        0.0524423,
        0.0500703,
        0.0480886,
        0.0462747,
        0.04508,
        0.0443904,
        0.0440183,
        0.0443701,
        0.0447938,
        0.0454742,
        0.0456133,
        0.0454099,
        0.0441888,
        0.0430402,
        0.0420119,
        0.0406667,
        0.0400276,
        0.0397845,
        0.0388686,
        0.037699,
        0.0372946,
        0.0372743,
        0.03773,
        0.037291,
        0.0375277,
        0.038419,
        0.0396301,
        0.0412277,
        0.0425655,
        0.0458694,
        0.0501526,
        0.0538612,
        0.0559798,
        0.0548516,
        0.0511304,
        0.046524,
        0.0434682,
        0.0405052,
        0.0380075,
        0.0362159,
        0.0348291,
        0.0339176,
        0.0331574,
        0.0327416,
        0.0324693,
        0.0322867,
        0.0321856,
        0.0321049,
        0.0319782,
        0.0316687,
        0.031898,
        0.0321213,
        0.0324151,
        0.0323563,
        0.0335529,
        0.0341825,
        0.0343323,
        0.0350586,
        0.0353128,
        0.0355623,
        0.0349314,
        0.0345491,
        0.0350782,
        0.0362215,
        0.0357256,
        0.0355054,
        0.0350728,
        0.0341645,
        0.0335436,
        0.0332314,
        0.0331801,
        0.0332719,
        0.0333797,
        0.033477,
        0.0335492,
        0.0341392,
        0.034024,
        0.0334762,
        0.0335537,
        0.0335733,
        0.0335673,
        0.0338848,
        0.0340935,
        0.0345658,
        0.0362896,
        0.0359593,
        0.0353743,
        0.0353477,
        0.0357696,
        0.0365421,
        0.0371138,
        0.0369848,
        0.0370528,
        0.0366811,
        0.0364572,
        0.0365547,
        0.0366642,
        0.0368256,
        0.0369461,
        0.0368324,
        0.0372298,
        0.0378946,
        0.0385614,
        0.0391473,
        0.0397269,
        0.0403371,
        0.0403449,
        0.0400323,
        0.0395022,
        0.039588,
        0.0404763,
        0.0443486,
        0.044754,
        0.0419924,
        0.0426338,
        0.0426981,
        0.0420952,
        0.0421577,
        0.0425682,
        0.0437044,
        0.044354,
        0.0447586,
        0.0455779,
        0.0496319,
        0.050576,
        0.0494849,
        0.0500712,
        0.051147,
        0.052016,
        0.0522857,
        0.0533916,
        0.0541729,
        0.0548075,
        0.0560563,
        0.0568664,
        0.0572573,
        0.058847,
        0.0605626,
        0.0623229,
        0.064612,
        0.0667591,
        0.0691951,
        0.0717022,
        0.0743478,
        0.0782529,
        0.0814648,
        0.0851183,
        0.0912502,
        0.0980193,
        0.10602,
        0.113982,
        0.123419,
        0.129304,
        0.138427,
        0.152446,
        0.164185,
        0.312062,
        0.278629,
        0.238793,
        0.208903,
        0.182951,
        0.184324,
        0.169414,
        0.145132,
        0.141166,
        0.136986,
        0.131164,
        0.126199,
        0.120203,
        0.115324,
        0.109465,
        0.104731,
        0.100292,
        0.0981139,
        0.0959727,
        0.0947708,
        0.0913407,
        0.0874649,
        0.0866859,
        0.0851109,
        0.0841235,
        0.0835949,
        0.0836542,
        0.0828848,
        0.0885879,
        0.0870651,
        0.0838686,
        0.0840526,
        0.085388,
        0.0872631,
        0.088996,
        0.0902635,
        0.0905115,
        0.0906525,
        0.0922103,
        0.0941927,
        0.107856,
        0.106008,
        0.101424,
        0.101148,
        0.101038,
        0.104022,
        0.103644,
        0.106485,
        0.112978,
        0.115237,
        0.118112,
        0.124946,
        0.130323,
        0.13598,
        0.144571,
        0.156081,
        0.16071,
        0.163162,
        0.174628,
        0.197585,
        0.214951,
        0.228969,
        null,
        0.252775,
        0.213234,
        0.182633,
        0.16093,
        0.148248,
        0.136654,
        0.126775,
        0.119637,
        0.113853,
        0.112367,
        0.108732,
        0.10313,
        0.0982093,
        0.0937497,
        0.0903045,
        0.0871178,
        0.0852819,
        0.0818617,
        0.0778965,
        0.0764024,
        0.0751046,
        0.0731082,
        0.071454,
        0.0701117,
        0.0695762,
        0.0691691,
        0.0682336,
        0.067662,
        0.0671945,
        0.0675141,
        0.0684195,
        0.068657,
        0.0679349,
        0.0661279,
        0.0633148,
        0.0613743,
        0.0587651,
        0.05763,
        0.0568207,
        0.0558456,
        0.0539425,
        0.0527055,
        0.0530101,
        0.0528384,
        0.0518522,
        0.0499891,
        0.0494601,
        0.0517238,
        0.0539922,
        0.0487349,
        0.0479202,
        0.0473724,
        0.0466259,
        0.0463574,
        0.04579,
        0.0458222,
        0.0451606,
        0.0448844,
        0.0449365,
        0.0449148,
        0.0452176,
        0.044776,
        0.0451147,
        0.0444841,
        0.0441467,
        0.0442454,
        0.0473303,
        0.0456923,
        0.0431235,
        0.0424498,
        0.0425253,
        0.0415277,
        0.0407659,
        0.0405414,
        0.0404902,
        0.040782,
        0.0407559,
        0.0411557,
        0.0460948,
        0.0449844,
        0.0405427,
        0.0403312,
        0.0405923,
        0.0406432,
        0.0406366,
        0.0404677,
        0.0407509,
        0.0408109,
        0.0407967,
        0.0407282,
        0.0409949,
        0.0408471,
        0.0415454,
        0.0425642,
        0.0495137,
        0.0482847,
        0.0416311,
        0.0411491,
        0.041025,
        0.0407964,
        0.0406385,
        0.0404091,
        0.0406079,
        0.0409463,
        0.0415241,
        0.0420357,
        0.0423667,
        0.0421105,
        0.0418587,
        0.04123,
        0.04151,
        0.0410856,
        0.0402107,
        0.0403522,
        0.0409929,
        0.041077,
        0.041033,
        0.0410279,
        0.0407961,
        0.0425224,
        0.0419717,
        0.0402632,
        0.0401334,
        0.0399338,
        0.0395397,
        0.0394792,
        0.0396023,
        0.0398335,
        0.0401622,
        0.0400066,
        0.0402412,
        0.0408053,
        0.0408352,
        0.0414577,
        0.0414328,
        0.0418235,
        0.0420825,
        0.0427002,
        0.042961,
        0.0438772,
        0.0439577,
        0.0442845,
        0.0452659,
        0.0458944,
        0.0462952,
        0.0477512,
        0.0485208,
        0.048703,
        0.050163,
        0.0521481,
        0.0529293,
        0.0545218,
        0.0562641,
        0.0590128,
        0.060227,
        0.061422,
        0.062677,
        0.0646223,
        0.0663236,
        0.0683113,
        0.0706313,
        0.0757355,
        0.0775424,
        0.080468,
        0.0863162,
        0.0924988,
        0.10045,
        0.118538,
        0.134785,
        0.135612,
        0.155046,
        0.179174,
        0.152016,
        0.131129,
        0.113503,
        0.101759,
        0.0966879,
        0.0979593,
        0.0907303,
        0.076971,
        0.0723899,
        0.0692929,
        0.0664397,
        0.063271,
        0.0614645,
        0.0600691,
        0.058201,
        0.0568393,
        0.0557714,
        0.0553385,
        0.0562616,
        0.060917,
        0.0586697,
        0.0551267,
        0.0564605,
        0.057578,
        0.057064,
        0.0574514,
        0.0578586,
        0.0581652,
        0.0572884,
        0.0558756,
        0.0534158,
        0.0523162,
        0.0508465,
        0.0494978,
        0.0484888,
        0.0476948,
        0.0467929,
        0.0463749,
        0.0452425,
        0.0456075,
        0.0451329,
        0.0443501,
        0.0446029,
        0.0446825,
        0.044459,
        0.0438905,
        0.0442316,
        0.0447507,
        0.0441429,
        0.0437937,
        0.0437529,
        0.0443188,
        0.0433636,
        0.0424965,
        0.0420491,
        0.0412993,
        0.0411293,
        0.0410623,
        0.0412846,
        0.0404303,
        0.0413176,
        0.0431778,
        0.0416763,
        0.0407306,
        0.0406691,
        0.0411369,
        0.0412108,
        0.0409208,
        0.0402753,
        0.0397773,
        0.0399809,
        0.0396919,
        0.0396441,
        0.0399197,
        0.0404529,
        0.0404613,
        0.0404922,
        0.0408121,
        0.0410878,
        0.0414612,
        0.0417605,
        0.0413336,
        0.0412844,
        0.0411362,
        0.0412096,
        0.0414864,
        0.0411557,
        0.0412677,
        0.0416066,
        0.0412855,
        0.0403247,
        0.0401051,
        0.0404938,
        0.0411685,
        0.0413441,
        0.0412772,
        0.0423571,
        0.0424485,
        0.0425449,
        0.0428589,
        0.0427392,
        0.0424076,
        0.0423424,
        0.0426536,
        0.0433239,
        0.0437888,
        0.0437643,
        0.0434718,
        0.0437396,
        0.0441938,
        0.0446679,
        0.0451256,
        0.0449493,
        0.0450459,
        0.0455009,
        0.0459221,
        0.0464904,
        0.047811,
        0.0485482,
        0.0504845,
        0.0508133,
        0.0494699,
        0.0496776,
        0.0494294,
        0.0487822,
        0.0489652,
        0.049826,
        0.0486609,
        0.0475157,
        0.0471047,
        0.0471426,
        0.0468279,
        0.0462254,
        0.0462623,
        0.0463978,
        0.0465388,
        0.0470412,
        0.0475852,
        0.0485354,
        0.0492091,
        0.0502439,
        0.050648,
        0.0511118,
        0.0514103,
        0.0516979,
        0.0516976,
        0.0521441,
        0.0523656,
        0.0524512,
        0.0539975,
        0.0553455,
        0.0564511,
        0.0581388,
        0.0589337,
        0.0599448,
        0.0622377,
        0.0655062,
        0.0679471,
        0.0709742,
        0.0728893,
        0.0751673,
        0.0783243,
        0.0816833,
        0.0901108,
        0.103904,
        0.104085,
        0.10374,
        0.112763,
        null,
        0.0369667,
        0.0367678,
        0.0374911,
        0.0370654,
        0.0361505,
        0.0360728,
        0.0360194,
        0.0364258,
        0.0364092,
        0.03549,
        0.0352832,
        0.0353121,
        0.0354944,
        0.0355407,
        0.0354154,
        0.0354013,
        0.0355057,
        0.0352993,
        0.0349465,
        0.0348321,
        0.0344655,
        0.0338435,
        0.0332759,
        0.0327007,
        0.0324207,
        0.0321829,
        0.0319909,
        0.03187,
        0.0318007,
        0.0318992,
        0.0322306,
        0.0322258,
        0.0319861,
        0.0322709,
        0.0324959,
        0.0325757,
        0.0327449,
        0.0328545,
        0.0333022,
        0.0338364,
        0.0339251,
        0.0338973,
        0.0338091,
        0.0335693,
        0.0331961,
        0.0329908,
        0.032818,
        0.0325723,
        0.0326701,
        0.0327797,
        0.0327424,
        0.0327715,
        0.0327239,
        0.032661,
        0.0327065,
        0.03261,
        0.0328618,
        0.0329348,
        0.0330409,
        0.033309,
        0.0333511,
        0.0331394,
        0.0334027,
        0.0337121,
        0.034237,
        0.0376142,
        0.0377102,
        0.0353756,
        0.0365337,
        0.0376503,
        0.0386899,
        0.0397231,
        0.0409091,
        0.0418469,
        0.0426744,
        0.0428414,
        0.0424258,
        0.0413821,
        0.0404582,
        0.0396258,
        0.0393355,
        0.039715,
        0.0401601,
        0.0409207,
        0.041944,
        0.0428304,
        0.0439863,
        0.0451786,
        0.0462901,
        0.0474853,
        0.0490373,
        0.0529089,
        0.0553558,
        0.0547819,
        0.0577051,
        0.0617202,
        0.0667344,
        0.0735457,
        0.0852605,
        0.0954009,
        0.106809,
        0.129776,
        0.16005,
        0.205319,
        0.158198,
        0.128588,
        0.108533,
        0.0944133,
        0.0832002,
        0.0745475,
        0.0690871,
        0.064446,
        0.0601668,
        0.0571246,
        0.0556285,
        0.0540461,
        0.0518802,
        0.0495252,
        0.0475721,
        0.0453809,
        0.0435145,
        0.0416072,
        0.0402341,
        0.0385675,
        0.037232,
        0.0362808,
        0.0352684,
        0.0342102,
        0.0342603,
        0.0339657,
        0.0332027,
        0.0356261,
        0.0356332,
        0.0327785,
        0.0327965,
        0.03276,
        0.0330309,
        0.0326478,
        0.0323073,
        0.0315734,
        0.0312439,
        0.03205,
        0.0310879,
        0.0309982,
        0.0303094,
        0.0295673,
        0.0295741,
        0.0294896,
        0.0293757,
        0.0293164,
        0.0292629,
        0.0294408,
        0.0297141,
        0.029802,
        0.0294699,
        0.0293965,
        0.02928,
        0.029339,
        0.0294798,
        0.029708,
        0.0297717,
        0.0300401,
        0.0305433,
        0.0311604,
        0.0315836,
        0.0355733,
        0.0339265,
        0.030119,
        0.0296563,
        0.0292078,
        0.0288856,
        0.0285094,
        0.0281302,
        0.0278376,
        0.0276763,
        0.0273835,
        0.0273096,
        0.0273205,
        0.0272361,
        0.0269002,
        0.0268414,
        0.0266765,
        0.0266303,
        0.0267529,
        0.0267944,
        0.0267183,
        0.0267789,
        0.0268267,
        0.0273541,
        0.0296185,
        0.0298431,
        0.0315024,
        0.0307966,
        0.0267991,
        0.0268855,
        0.026836,
        0.0268228,
        0.0270196,
        0.0272328,
        0.0273546,
        0.0276514,
        0.0280145,
        0.0283784,
        0.0284525,
        0.0287217,
        0.0293712,
        0.0299399,
        0.0301619,
        0.0304041,
        0.0308671,
        0.0313356,
        0.0320179,
        0.032441,
        0.032425,
        0.0317858,
        0.0311495,
        0.0307559,
        0.0306032,
        0.0304065,
        0.030323,
        0.0300609,
        0.03002,
        0.0299067,
        0.0297689,
        0.0299374,
        0.0300823,
        0.0305388,
        0.0311046,
        0.0315473,
        0.0316648,
        0.0317576,
        0.0319071,
        0.0322297,
        0.032766,
        0.0330819,
        0.0332691,
        0.0339596,
        0.0344651,
        0.0353267,
        0.036157,
        0.0367755,
        0.0377626,
        0.0392694,
        0.0405845,
        0.042134,
        0.0437439,
        0.0459063,
        0.0488611,
        0.0522459,
        0.0568367,
        0.0619627,
        0.0680005,
        0.0757399,
        0.0864672,
        0.102148,
        0.123105,
        0.154286,
        0.158072,
        0.126995,
        0.10385,
        0.0890881,
        0.079392,
        0.0724878,
        0.0763525,
        0.0712932,
        0.0567722,
        0.0524225,
        0.0492902,
        0.04688,
        0.0445943,
        0.0424074,
        0.04051,
        0.0388969,
        0.0379596,
        0.0371976,
        0.0363448,
        0.0352153,
        0.0338916,
        0.033072,
        0.032248,
        0.0315774,
        0.0310171,
        0.0304668,
        0.0301043,
        0.0296086,
        0.0294986,
        0.0307649,
        0.030702,
        0.0290853,
        0.0292154,
        0.0296026,
        0.0303929,
        0.0328154,
        0.0311352,
        0.0294554,
        0.0287556,
        0.0282306,
        0.0278858,
        0.0273355,
        0.0270049,
        0.0267709,
        0.0267222,
        0.0266756,
        0.0266106,
        0.0264178,
        0.0261476,
        0.0260423,
        0.0260358,
        0.0259284,
        0.0258606,
        0.026022,
        0.0262014,
        0.0260789,
        0.0260449,
        0.0260348,
        0.0261143,
        0.0260133,
        0.0259395,
        0.0260449,
        0.0261374,
        0.0259929,
        0.0258948,
        0.0257373,
        0.025735,
        0.0256031,
        0.0256371,
        0.0257123,
        0.0257411,
        0.0255996,
        0.0255079,
        0.0254999,
        0.0253772,
        0.0252958,
        0.0254471,
        0.0256143,
        0.02567,
        0.0258417,
        0.0262551,
        0.0285149,
        0.0290099,
        0.0279874,
        0.0285127,
        0.0287539,
        0.0272975,
        0.0282317,
        0.0276068,
        0.0272134,
        0.0266394,
        0.026118,
        0.0260077,
        0.0257184,
        0.0254168,
        0.0253521,
        0.0253603,
        0.0253933,
        0.0252728,
        0.0249746,
        0.0249932,
        0.0252267,
        0.0254179,
        0.0255585,
        0.0256952,
        0.0266014,
        0.0297074,
        0.0278008,
        0.0258319,
        0.0259041,
        0.0260432,
        0.0259832,
        0.0260574,
        0.0263058,
        0.0266233,
        0.026865,
        0.0271241,
        0.0271562,
        0.0274023,
        0.0278097,
        0.0280561,
        0.0281241,
        0.0283544,
        0.0288038,
        0.0296114,
        0.0305393,
        0.0302973,
        0.0307151,
        0.0314345,
        0.0324244,
        0.0333351,
        0.0351921,
        0.0367747,
        0.0387847,
        0.0417084,
        0.0447535,
        0.0473322,
        0.0483449,
        0.0517472,
        0.0492609,
        0.045481,
        0.044273,
        0.0440669,
        0.044393,
        0.0449375,
        0.0465243,
        0.0489155,
        0.0512923,
        0.0540213,
        0.0579182,
        0.0649981,
        0.0710333,
        0.0806735,
        0.0948246,
        0.113779,
        0.136825,
        0.195362,
        0.266969,
        0.234957,
        0.170146,
        0.136714,
        0.115141,
        0.093508,
        0.0806052,
        0.0717666,
        0.0652,
        0.0598103,
        0.0557222,
        0.0525157,
        0.0499176,
        0.0482156,
        0.0465285,
        0.044944,
        0.0434421,
        0.0412034,
        0.0393373,
        0.0374865,
        0.0361437,
        0.0349831,
        0.0338198,
        0.0329169,
        0.0321948,
        0.0315557,
        0.0307261,
        0.0300381,
        0.0297916,
        0.0293005,
        0.0289101,
        0.0285699,
        0.0282348,
        0.0278898,
        0.0276806,
        0.0275252,
        0.0274333,
        0.0270873,
        0.0268951,
        0.0265201,
        0.0262098,
        0.0257395,
        0.0254519,
        0.0252013,
        0.0252812,
        0.0253803,
        0.0252204,
        0.0247205,
        0.0250083,
        0.0248868,
        0.024541,
        0.0244215,
        0.0242189,
        0.0245478,
        0.0248323,
        0.0250603,
        0.0250558,
        0.025075,
        0.0253335,
        0.0256139,
        0.0260949,
        0.0265983,
        0.0274343,
        0.0287941,
        0.0301797,
        0.0311963,
        0.0325832,
        0.0334886,
        0.0337215,
        0.0332432,
        0.0325898,
        0.0314889,
        0.0306138,
        0.0298884,
        0.0293864,
        0.0287648,
        0.0287442,
        0.0287707,
        0.0285863,
        0.027909,
        0.0273211,
        0.0268574,
        0.0284112,
        0.0283642,
        0.0255871,
        0.0251112,
        0.0250201,
        0.0245633,
        0.0243848,
        0.0242851,
        0.0244909,
        0.024529,
        0.0245127,
        0.024558,
        0.0244069,
        0.0240522,
        0.0236897,
        0.0234821,
        0.0234537,
        0.0235408,
        0.0236224,
        0.023659,
        0.0237635,
        0.02416,
        0.0241765,
        0.0244254,
        0.0246077,
        0.0247762,
        0.0251964,
        0.0253086,
        0.0256852,
        0.0260818,
        0.0263045,
        0.0266031,
        0.0271453,
        0.0277661,
        0.0285628,
        0.0293844,
        0.0301058,
        0.030058,
        0.0296067,
        0.0291758,
        0.0289795,
        0.0288412,
        0.0289489,
        0.0289849,
        0.0286686,
        0.0284053,
        0.0285423,
        0.029107,
        0.0293466,
        0.0295508,
        0.0299868,
        0.0303226,
        0.0307701,
        0.03165,
        0.0342772,
        0.0350903,
        0.0342633,
        0.035927,
        0.0374795,
        0.0393309,
        0.040581,
        0.0414668,
        0.0419579,
        0.0415901,
        0.0412606,
        0.0416367,
        0.0419582,
        0.0425461,
        0.0438502,
        0.0454002,
        0.0474535,
        0.0498536,
        0.0528467,
        0.0559612,
        0.0602738,
        0.0667474,
        0.0751906,
        0.087692,
        0.1041,
        0.128793,
        0.168241,
        0.142054,
        0.113623,
        0.092285,
        0.0774982,
        0.0675628,
        0.0638744,
        0.0582245,
        0.051162,
        0.0474732,
        0.0448835,
        0.0424851,
        0.0405691,
        0.038828,
        0.0373234,
        0.0358902,
        0.0345029,
        0.0335529,
        0.0328016,
        0.0319026,
        0.0310355,
        0.0306089,
        0.0301841,
        0.0298689,
        0.0297852,
        0.0290742,
        0.0285615,
        0.02821,
        0.0279454,
        0.0275773,
        0.027486,
        0.0271933,
        0.0267099,
        0.0264993,
        0.0263739,
        0.0262457,
        0.0263704,
        0.026175,
        0.0260426,
        0.0266794,
        0.0262611,
        0.0262942,
        0.0266039,
        0.0270513,
        0.0274251,
        0.027685,
        0.0275278,
        0.0271681,
        0.026412,
        0.0257149,
        0.0255403,
        0.0255539,
        0.0255333,
        0.0254055,
        0.0254934,
        0.0255685,
        0.0258609,
        0.0260927,
        0.0264213,
        0.0271716,
        0.0280642,
        0.0295027,
        0.0318969,
        0.0356575,
        0.0408506,
        0.0470278,
        0.0529481,
        0.0554077,
        0.0565577,
        0.049473,
        0.0379432,
        0.0337562,
        0.0314505,
        0.0290814,
        0.0272516,
        0.026213,
        0.0256955,
        0.0252951,
        0.0252814,
        0.0249314,
        0.0246816,
        0.0245697,
        0.0246383,
        0.0246522,
        0.0247121,
        0.0246468,
        0.0244525,
        0.024686,
        0.0244259,
        0.0245249,
        0.0245542,
        0.0247179,
        0.0248948,
        0.0258736,
        0.0257033,
        0.0253681,
        0.0259082,
        0.0263506,
        0.0265117,
        0.0265807,
        0.0261297,
        0.0256323,
        0.0253729,
        0.0267827,
        0.0253623,
        0.0244661,
        0.0244414,
        0.0236582,
        0.0234525,
        0.0232777,
        0.023089,
        0.0232803,
        0.02321,
        0.0231842,
        0.0230072,
        0.0230718,
        0.0231092,
        0.0232766,
        0.0235852,
        0.0238541,
        0.0240849,
        0.0240222,
        0.0242327,
        0.0244457,
        0.0242763,
        0.024542,
        0.0244931,
        0.0246684,
        0.0248689,
        0.0253608,
        0.0256956,
        0.0259202,
        0.0261767,
        0.0263162,
        0.0269648,
        0.03053,
        0.0311465,
        0.0280051,
        0.027973,
        0.0282508,
        0.0287564,
        0.029438,
        0.03019,
        0.0310483,
        0.0322042,
        0.0334543,
        0.0345882,
        0.0353417,
        0.0363935,
        0.0376528,
        0.039181,
        0.0418386,
        0.0440291,
        0.0455677,
        0.0472314,
        0.0494268,
        0.0519729,
        0.0558022,
        0.0605207,
        0.066588,
        0.07488,
        0.0880334,
        0.105511,
        0.130006,
        0.160805,
        0.122317,
        0.0998191,
        0.0843916,
        0.0728507,
        0.0644142,
        0.0588512,
        0.0532568,
        0.0488686,
        0.0453992,
        0.0426116,
        0.0408225,
        0.0384193,
        0.0367194,
        0.0353978,
        0.0344072,
        0.0337017,
        0.033141,
        0.0324219,
        0.0320297,
        0.0320114,
        0.0322051,
        0.0347192,
        0.0339785,
        0.0314812,
        0.0318045,
        0.0322236,
        0.0330047,
        0.0332596,
        0.0329471,
        0.032695,
        0.0321687,
        0.0314415,
        0.0310293,
        0.0304538,
        0.0301177,
        0.0293025,
        0.0282063,
        0.0276233,
        0.027081,
        0.0273689,
        0.0265773,
        0.0261441,
        0.0261569,
        0.0260594,
        0.0261036,
        0.0258616,
        0.026057,
        0.0260394,
        0.0263452,
        0.0267763,
        0.0274267,
        0.0277673,
        0.0282846,
        0.0284898,
        0.0287406,
        0.0292771,
        0.0291676,
        0.0284212,
        0.0283983,
        0.0275375,
        0.0294339,
        0.0288127,
        0.0256509,
        0.0254075,
        0.0248763,
        0.024711,
        0.0247756,
        0.0248594,
        0.0250889,
        0.025431,
        0.0255126,
        0.0253949,
        0.0258046,
        0.0260031,
        0.0262987,
        0.0265233,
        0.0267673,
        0.0270941,
        0.027346,
        0.0276761,
        0.0281221,
        0.0281637,
        0.0282918,
        0.0280718,
        0.0273331,
        0.0267728,
        0.0263287,
        0.0260288,
        0.0254863,
        0.0252474,
        0.0253945,
        0.0272544,
        0.026124,
        0.0248602,
        0.0253496,
        0.0282717,
        0.0274049,
        0.0245526,
        0.0246381,
        0.0245131,
        0.0247487,
        0.0245684,
        0.0246762,
        0.0247863,
        0.0247223,
        0.02726,
        0.0280556,
        0.0257926,
        0.025548,
        0.0249266,
        0.025426,
        0.0253702,
        0.0249403,
        0.0249357,
        0.0251959,
        0.0253895,
        0.0254895,
        0.0253355,
        0.0255432,
        0.0256741,
        0.0257011,
        0.025871,
        0.026107,
        0.0262198,
        0.0266498,
        0.0266765,
        0.0267467,
        0.0280369,
        0.0286891,
        0.0276522,
        0.0283538,
        0.0291549,
        0.0301533,
        0.031146,
        0.0322077,
        0.0339505,
        0.0359718,
        0.0377174,
        0.0389079,
        0.0393212,
        0.0385123,
        0.0361055,
        0.0350687,
        0.0340329,
        0.0335636,
        0.0334733,
        0.0334859,
        0.0337414,
        0.0347299,
        0.0353978,
        0.0360363,
        0.0370339,
        0.037888,
        0.0394515,
        0.0408017,
        0.0428559,
        0.0456973,
        0.0485046,
        0.0516888,
        0.0564447,
        0.0616716,
        0.0678505,
        0.0765125,
        0.0885952,
        0.106354,
        0.131535,
        0.171782,
        0.245465,
        0.176544,
        0.145479,
        0.115765,
        0.088428,
        0.074436,
        0.065409,
        0.059915,
        0.0584534,
        0.0541394,
        0.0484911,
        0.0456838,
        0.0440308,
        0.0424842,
        0.0412221,
        0.0409887,
        0.0389886,
        0.0371435,
        0.0356643,
        0.0347416,
        0.0336033,
        0.0326818,
        0.0320469,
        0.0315528,
        0.0311345,
        0.0308163,
        0.0307432,
        0.0306276,
        0.0302129,
        0.0292972,
        0.0288544,
        0.0285239,
        0.0280176,
        0.0280266,
        0.0277529,
        0.0276551,
        0.0274017,
        0.0272717,
        0.0273455,
        0.0270896,
        0.0267706,
        0.0267303,
        0.0269352,
        0.0289924,
        0.0314149,
        0.0305715,
        0.0274157,
        0.02679,
        0.0298581,
        0.0297019,
        0.0263805,
        0.0261911,
        0.0263428,
        0.0267305,
        0.0265376,
        0.0263828,
        0.0261612,
        0.0259998,
        0.0259851,
        0.0259132,
        0.026137,
        0.0261068,
        0.0259056,
        0.0259681,
        0.0259249,
        0.0259926,
        0.0263972,
        0.0271643,
        0.0275817,
        0.0276182,
        0.0281458,
        0.0284551,
        0.0279879,
        0.0277399,
        0.0273392,
        0.0273275,
        0.0272061,
        0.027385,
        0.027359,
        0.0277278,
        0.028492,
        0.0300682,
        0.0290229,
        0.027842,
        0.0272453,
        0.0270002,
        0.0271771,
        0.0272135,
        0.0272847,
        0.027445,
        0.0288534,
        0.0297604,
        0.0293402,
        0.0298362,
        0.0303502,
        0.0300025,
        0.0296562,
        0.0295685,
        0.0292257,
        0.0290855,
        0.028738,
        0.0284533,
        0.0283993,
        0.0285506,
        0.0283565,
        0.0280136,
        0.0281385,
        0.0280994,
        0.0279882,
        0.0280353,
        0.0280469,
        0.0280481,
        0.0278954,
        0.0279458,
        0.0277637,
        0.0276348,
        0.027857,
        0.0277377,
        0.0275692,
        0.0275879,
        0.0279299,
        0.028296,
        0.0288211,
        0.0292013,
        0.0295994,
        0.0300714,
        0.0306488,
        0.0310307,
        0.0313569,
        0.0313863,
        0.0308974,
        0.0300385,
        0.0291798,
        0.0290087,
        0.0297233,
        0.030057,
        0.0291168,
        0.028467,
        0.0294935,
        0.0292262,
        0.0277364,
        0.0278853,
        0.0314955,
        0.0308531,
        0.0272461,
        0.0275202,
        0.0277213,
        0.0277914,
        0.0280289,
        0.0284916,
        0.0286409,
        0.029204,
        0.0298907,
        0.0304152,
        0.0329443,
        0.0338999,
        0.0326606,
        0.0335852,
        0.0348131,
        0.0362454,
        0.0373724,
        0.0391602,
        0.0450066,
        0.048008,
        0.0477159,
        0.0519915,
        0.0564587,
        0.0646659,
        0.0747546,
        0.0844845,
        0.102657,
        0.129878,
        0.173942,
        0.165685,
        0.127624,
        0.101834,
        0.0843394,
        0.0716987,
        0.0618361,
        0.0546183,
        0.050414,
        0.046115,
        0.0433205,
        0.040933,
        0.0385274,
        0.0370491,
        0.03557,
        0.0339717,
        0.0327994,
        0.0320457,
        0.0313021,
        0.0306234,
        0.0299415,
        0.0294932,
        0.0289886,
        0.0286907,
        0.0283013,
        0.0280669,
        0.0281824,
        0.0281577,
        0.0281799,
        0.0282974,
        0.0278841,
        0.0278947,
        0.0278461,
        0.0279466,
        0.0284252,
        0.0295164,
        0.0299835,
        0.0291687,
        0.0293531,
        0.0302733,
        0.0310668,
        0.0358809,
        0.0365189,
        0.0319915,
        0.0313228,
        0.0297214,
        0.0292196,
        0.0290559,
        0.0284135,
        0.0281683,
        0.0283962,
        0.0282716,
        0.0279202,
        0.0278068,
        0.0280853,
        0.0283177,
        0.028674,
        0.028987,
        0.0295968,
        0.02991,
        0.0297768,
        0.0298084,
        0.0293832,
        0.0288545,
        0.0282451,
        0.0280491,
        0.0275975,
        0.026448,
        0.0259038,
        0.0254895,
        0.0252574,
        0.0250733,
        0.0249763,
        0.0249293,
        0.0248787,
        0.0250558,
        0.0249113,
        0.0253423,
        0.0251193,
        0.0250334,
        0.0246413,
        0.0243898,
        0.0243969,
        0.0246514,
        0.0247079,
        0.0248046,
        0.0249256,
        0.0248633,
        0.0250911,
        0.0250764,
        0.0246465,
        0.0243405,
        0.0242254,
        0.024275,
        0.0245042,
        0.0260749,
        0.0268666,
        0.0249121,
        0.0246654,
        0.0261304,
        0.0261468,
        0.0251441,
        0.025036,
        0.0251035,
        0.0253689,
        0.0269035,
        0.0273035,
        0.0261817,
        0.0262126,
        0.0261812,
        0.0266002,
        0.0267454,
        0.0265902,
        0.0268466,
        0.0273832,
        0.028057,
        0.0283186,
        0.0283773,
        0.0288472,
        0.029319,
        0.0291096,
        0.0286207,
        0.0283297,
        0.0282033,
        0.0277619,
        0.0274393,
        0.0275792,
        0.0276288,
        0.0276841,
        0.0279774,
        0.027777,
        0.0274193,
        0.0275487,
        0.027432,
        0.0273701,
        0.0274606,
        0.0270783,
        0.0273029,
        0.0275256,
        0.0273388,
        0.0274583,
        0.027509,
        0.0273294,
        0.027529,
        0.027634,
        0.0279495,
        0.0280646,
        0.0283514,
        0.0285874,
        0.0289105,
        0.0292701,
        0.0308064,
        0.0312452,
        0.0305048,
        0.0309644,
        0.0315597,
        0.0322371,
        0.0324813,
        0.0335975,
        0.0347652,
        0.0353037,
        0.0363973,
        0.0375361,
        0.0385578,
        0.0399076,
        0.04174,
        0.0438899,
        0.046784,
        0.0505499,
        0.0544116,
        0.0598526,
        0.0670721,
        0.0775223,
        0.0917793,
        0.113056,
        0.143925,
        0.147291,
        0.113038,
        0.0919975,
        0.0789105,
        0.0692498,
        0.0613557,
        0.056296,
        0.0518784,
        0.0482285,
        0.0456607,
        0.0437301,
        0.0422401,
        0.0407854,
        0.0389061,
        0.0373936,
        0.0361799,
        0.0355128,
        0.0346858,
        0.0340288,
        0.0336598,
        0.0332516,
        0.0324462,
        0.0320133,
        0.0317674,
        0.0313223,
        0.030756,
        0.0305324,
        0.0306272,
        0.0306808,
        0.030993,
        0.0318185,
        0.0318454,
        0.0311295,
        0.0312139,
        0.0338368,
        0.0326753,
        0.0302292,
        0.0302858,
        0.0303349,
        0.0304038,
        0.0303837,
        0.0306789,
        0.0305495,
        0.0304078,
        0.0306181,
        0.0307578,
        0.0312631,
        0.0321487,
        0.0325633,
        0.0328746,
        0.0332196,
        0.0334491,
        0.0334669,
        0.0335896,
        0.0330693,
        0.0324264,
        0.032229,
        0.0319445,
        0.0320887,
        0.0322521,
        0.0325618,
        0.0322966,
        0.032558,
        0.032669,
        0.0332818,
        0.0354615,
        0.035136,
        0.0331391,
        0.0336274,
        0.0338212,
        0.0339582,
        0.0339703,
        0.0344009,
        0.0347862,
        0.0350497,
        0.0358104,
        0.0368816,
        0.0376972,
        0.0391407,
        0.0409029,
        0.0424611,
        0.0432367,
        0.0442479,
        0.0449783,
        0.0452976,
        0.0447617,
        0.0446027,
        0.0444492,
        0.0437655,
        0.0434763,
        0.0441915,
        0.0451007,
        0.0457342,
        0.0465977,
        0.0478832,
        0.0502126,
        0.052703,
        0.0556042,
        0.0577494,
        0.0607691,
        0.0651319,
        0.0708397,
        0.0764428,
        0.0832787,
        0.0943949,
        0.106773,
        0.123188,
        0.14479,
        0.180703,
        0.244522,
        0.268345,
        0.215802,
        0.17686,
        0.145089,
        0.122388,
        0.106826,
        0.0959946,
        0.0867779,
        0.0780892,
        0.0770793,
        0.0734924,
        0.0655766,
        0.0622044,
        0.0592676,
        0.0575293,
        0.0557428,
        0.0538987,
        0.0528387,
        0.0531489,
        0.0602908,
        0.0595078,
        0.0582817,
        0.05162,
        0.0511986,
        0.0491415,
        0.0472161,
        0.0462057,
        0.0453389,
        0.0443313,
        0.0428403,
        0.0424704,
        0.0420253,
        0.041362,
        0.0415644,
        0.0463875,
        0.0464295,
        0.0429569,
        0.0436082,
        0.0442688,
        0.044762,
        0.0457334,
        0.047191,
        0.0488245,
        0.0576262,
        0.0600679,
        0.0677892,
        0.0721107,
        0.0642479,
        0.0700805,
        0.0783128,
        0.0880595,
        0.101005,
        0.118844,
        0.149538,
        0.197489,
        0.280078,
        0.301459,
        0.189389,
        0.142565,
        0.113171,
        0.107474,
        0.0917643,
        0.0722984,
        0.0654121,
        0.0601592,
        0.0556287,
        0.0532883,
        0.0506025,
        0.0482975,
        0.0465566,
        0.0446949,
        0.0435872,
        0.0431457,
        0.0420967,
        0.0413328,
        0.0410672,
        0.0409451,
        0.040145,
        0.0393823,
        0.0391529,
        0.0386504,
        0.0376762,
        0.0369465,
        0.0366123,
        0.0362474,
        0.0358864,
        0.0353177,
        0.0346838,
        0.0343331,
        0.0340754,
        0.0341074,
        0.0341628,
        0.0345179,
        0.0350022,
        0.0350581,
        0.0353902,
        0.0347211,
        0.0342466,
        0.0339439,
        0.0345807,
        0.0393997,
        0.0388998,
        0.0347615,
        0.0352183,
        0.0353747,
        0.0347981,
        0.0343056,
        0.034467,
        0.0340626,
        0.0334633,
        0.0331314,
        0.0336526,
        0.0333152,
        0.0332101,
        0.0328645,
        0.0328246,
        0.0327001,
        0.0328672,
        0.0334052,
        0.0334882,
        0.0339682,
        0.0340106,
        0.0343327,
        0.0374819,
        0.0368607,
        0.0334907,
        0.033231,
        0.0336545,
        0.0336015,
        0.0335187,
        0.0336222,
        0.0338303,
        0.0337068,
        0.0334531,
        0.0332942,
        0.0332642,
        0.0334109,
        0.0334631,
        0.0337136,
        0.0337504,
        0.0338072,
        0.0338113,
        0.0336379,
        0.0336835,
        0.0335237,
        0.0338994,
        0.0341168,
        0.034335,
        0.0346305,
        0.0343598,
        0.0341323,
        0.0340733,
        0.0332988,
        0.0333069,
        0.0330646,
        0.0333086,
        0.0338218,
        0.0354094,
        0.0362227,
        0.0341427,
        0.0341005,
        0.0342916,
        0.0348252,
        0.0349354,
        0.0352891,
        0.0358926,
        0.0363277,
        0.0362206,
        0.0359612,
        0.0358846,
        0.0355297,
        0.0351513,
        0.0352096,
        0.0355394,
        0.0355518,
        0.0355885,
        0.0356889,
        0.0355506,
        0.0356629,
        0.0361364,
        0.0366535,
        0.0368768,
        0.0369136,
        0.0373531,
        0.0382272,
        0.0384083,
        0.0381995,
        0.0382525,
        0.0380013,
        0.0380227,
        0.0381712,
        0.0384726,
        0.0385797,
        0.0386715,
        0.0390014,
        0.0404463,
        0.0396356,
        0.0391545,
        0.0396141,
        0.0419243,
        0.0417688,
        0.0421635,
        0.0420437,
        0.040955,
        0.0409128,
        0.0414459,
        0.0428127,
        0.042917,
        0.0417464,
        0.0421229,
        0.0428764,
        0.0430337,
        0.0432741,
        0.0433704,
        0.0436047,
        0.044673,
        0.047293,
        0.0479286,
        0.0463185,
        0.0465107,
        0.0468233,
        0.0469974,
        0.047643,
        0.0488653,
        0.0500161,
        0.0517913,
        0.0539215,
        0.0566721,
        0.0576353,
        0.0603432,
        0.0615549,
        0.0641486,
        0.0676034,
        0.0709838,
        0.0759563,
        0.0831011,
        0.0913336,
        0.104076,
        0.120787,
        0.17917,
        0.149388,
        0.127172,
        0.111424,
        0.102804,
        0.0959408,
        0.0906622,
        0.0873151,
        0.0851665,
        0.0828453,
        0.0820544,
        0.0826203,
        0.0827342,
        0.0835113,
        0.0849019,
        0.08668,
        0.0868694,
        0.0878375,
        0.0888109,
        0.0920651,
        0.0969185,
        0.0997467,
        0.103664,
        0.120561,
        0.12081,
        0.112984,
        0.118022,
        0.124152,
        0.131274,
        0.139785,
        0.147136,
        0.158812,
        0.173825,
        0.182878,
        0.196666,
        0.180327,
        0.165636,
        0.157454,
        0.148908,
        0.139258,
        0.131256,
        0.122881,
        0.118309,
        0.113493,
        0.108862,
        0.104996,
        0.100454,
        0.0967283,
        0.0914907,
        0.0873171,
        0.0858428,
        0.0847842,
        0.0843189,
        0.0807775,
        0.0784929,
        0.0767424,
        0.0751385,
        0.0733818,
        0.0716726,
        0.069625,
        0.0673261,
        0.0657652,
        0.0641811,
        0.0634342,
        0.0619421,
        0.0617476,
        0.0608222,
        0.0609986,
        0.0605932,
        0.058947,
        0.0582002,
        0.0564927,
        0.0552835,
        0.0551657,
        0.0550167,
        0.0546757,
        0.0625719,
        0.0606645,
        0.0525443,
        0.0527616,
        0.0523002,
        0.0523909,
        0.0520093,
        0.0516528,
        0.051899,
        0.0513585,
        0.0511327,
        0.0512153,
        0.0520911,
        0.061144,
        0.059532,
        0.0511853,
        0.0502611,
        0.0502601,
        0.0503637,
        0.0507617,
        0.0509744,
        0.0506488,
        0.0507446,
        0.050783,
        0.0503926,
        0.0508969,
        0.0513391,
        0.0508015,
        0.0509906,
        0.0508261,
        0.051403,
        0.0513438,
        0.0514625,
        0.0524312,
        0.0532949,
        0.0541224,
        0.0546819,
        0.0544372,
        0.0546614,
        0.0549282,
        0.0555893,
        0.0559546,
        0.0589342,
        0.0601114,
        0.060195,
        0.0610389,
        0.0620322,
        0.0640016,
        0.0664643,
        0.0692918,
        0.0740304,
        0.0798562,
        0.0876751,
        0.0982825,
        0.114544,
        0.137501,
        0.174712,
        0.179008,
        0.140913,
        0.115431,
        0.0994352,
        0.086402,
        0.077313,
        0.0733467,
        0.0678776,
        0.0644579,
        0.0618743,
        0.0681306,
        0.0625998,
        0.055978,
        0.0547308,
        0.0543715,
        0.0536317,
        0.0527756,
        0.0529069,
        0.0515486,
        0.0514181,
        0.0511071,
        0.051377,
        0.0515877,
        0.0515487,
        0.0511769,
        0.0510044,
        0.0502852,
        0.0506098,
        0.0508455,
        0.0511618,
        0.0517818,
        0.0573875,
        0.0554358,
        0.0503166,
        0.0506693,
        0.0515454,
        0.0528445,
        0.0526445,
        0.0523793,
        0.0520313,
        0.0521806,
        0.0530552,
        0.0543469,
        0.0552299,
        0.0557482,
        0.056293,
        0.0556854,
        0.0553321,
        0.0553656,
        0.0553258,
        0.0546271,
        0.054257,
        0.053688,
        0.0527206,
        0.0524204,
        0.0519616,
        0.0515587,
        0.0519667,
        0.0516898,
        0.0516458,
        0.0513393,
        0.0514652,
        0.0514597,
        0.0524581,
        0.0541418,
        0.0589613,
        0.0557391,
        0.0525695,
        0.0521947,
        0.0528173,
        0.0540973,
        0.0541924,
        0.0546573,
        0.0549053,
        0.0549391,
        0.0547839,
        0.0551566,
        0.055701,
        0.0554471,
        0.0561716,
        0.0565429,
        0.0568268,
        0.0577924,
        0.0585404,
        0.0588685,
        0.0589847,
        0.0601577,
        null,
        0.126689,
        0.101568,
        0.0825686,
        0.0711941,
        0.0635769,
        0.0581079,
        0.0533771,
        0.0498908,
        0.047283,
        0.0449901,
        0.0432005,
        0.0420132,
        0.041061,
        0.0402327,
        0.0394545,
        0.0384576,
        0.0374061,
        0.0368339,
        0.0363823,
        0.0358291,
        0.0357213,
        0.035525,
        0.0354229,
        0.0352658,
        0.0346892,
        0.0342454,
        0.0339665,
        0.0338647,
        0.0339941,
        0.0339119,
        0.033879,
        0.0335707,
        0.0334673,
        0.033588,
        0.0335293,
        0.0332855,
        0.032974,
        0.0329621,
        0.0328941,
        0.0330257,
        0.0332326,
        0.0331785,
        0.0345176,
        0.0347356,
        0.0337396,
        0.0339793,
        0.0340492,
        0.0340595,
        0.0340225,
        0.0340407,
        0.0342372,
        0.034231,
        0.0341024,
        0.0339636,
        0.033513,
        0.0331689,
        0.0329205,
        0.0325514,
        0.0323215,
        0.0323944,
        0.0322491,
        0.0321483,
        0.0320052,
        0.0321302,
        0.0320511,
        0.0319982,
        0.0321163,
        0.0321038,
        0.0321992,
        0.0318692,
        0.0316618,
        0.0314283,
        0.0311813,
        0.030683,
        0.0305742,
        0.0303879,
        0.030111,
        0.0298484,
        0.0296549,
        0.0296605,
        0.0295513,
        0.0294196,
        0.0294229,
        0.0296168,
        0.0305088,
        0.0305351,
        0.029943,
        0.0304006,
        0.0306409,
        0.0307571,
        0.0305909,
        0.030127,
        0.0300513,
        0.0298456,
        0.0298268,
        0.0298165,
        0.0300927,
        0.0301813,
        0.0300416,
        0.0301344,
        0.0301448,
        0.0302247,
        0.0300588,
        0.0302003,
        0.0304114,
        0.0306441,
        0.0306708,
        0.0308513,
        0.0306181,
        0.0304816,
        0.0302295,
        0.0302116,
        0.0298901,
        0.0296676,
        0.0295587,
        0.029379,
        0.0293264,
        0.02929,
        0.0292947,
        0.029384,
        0.0293107,
        0.0289746,
        0.0291182,
        0.0292213,
        0.0291678,
        0.0291167,
        0.0290195,
        0.0288731,
        0.0288303,
        0.0286106,
        0.0283032,
        0.0281636,
        0.0280699,
        0.027895,
        0.0279118,
        0.0280643,
        0.028181,
        0.0283077,
        0.0284095,
        0.0284674,
        0.028537,
        0.0286672,
        0.0285714,
        0.0285744,
        0.0285716,
        0.0288011,
        0.0288856,
        0.0292134,
        0.0295256,
        0.0298487,
        0.0301919,
        0.0304718,
        0.0310011,
        0.031784,
        0.0325944,
        0.0337606,
        0.0349959,
        0.0367856,
        0.0390923,
        0.042014,
        0.0461301,
        0.0517481,
        0.0598579,
        0.0695532,
        0.0795855,
        0.0861063,
        0.081627,
        0.0715512,
        0.0615819,
        0.0538576,
        0.0475823,
        0.0446698,
        0.0420029,
        0.0380004,
        0.0360628,
        0.0353135,
        0.0341554,
        0.0328773,
        0.0323909,
        0.0319713,
        0.0316187,
        0.0316804,
        0.0315273,
        0.0314245,
        0.0313925,
        0.0312525,
        0.0310568,
        0.0310395,
        0.0309763,
        0.0307537,
        0.0305617,
        0.0304193,
        0.0304015,
        0.0312911,
        0.031516,
        0.0314905,
        0.0319322,
        0.03267,
        0.0331329,
        0.0333931,
        0.0337162,
        0.0336109,
        0.0332785,
        0.0328265,
        0.0324072,
        0.0321434,
        0.0319978,
        0.0320029,
        0.0322236,
        0.0324024,
        0.032276,
        0.0330306,
        0.0329787,
        0.0320834,
        0.031963,
        0.0321034,
        0.0326,
        0.0331986,
        0.0335032,
        0.033766,
        0.0344871,
        0.0352806,
        0.0357792,
        0.036161,
        0.0410897,
        0.0412438,
        0.0383133,
        0.0391325,
        0.0370746,
        0.038034,
        0.0387252,
        0.0392848,
        0.0397118,
        0.0400345,
        0.0404663,
        0.0407262,
        0.0412577,
        0.0423276,
        0.0435636,
        0.0450323,
        0.0471563,
        0.0485297,
        0.0492295,
        0.0506512,
        0.0527623,
        0.0547504,
        0.0578311,
        0.0616926,
        0.0669385,
        0.0720199,
        0.0771156,
        0.0843706,
        0.0912092,
        0.100024,
        0.114459,
        0.132939,
        0.157059,
        0.207361,
        0.167269,
        0.139694,
        0.124007,
        0.112503,
        0.101509,
        0.0924102,
        0.0859,
        0.0799869,
        0.0750078,
        0.0723934,
        0.0703719,
        0.0682612,
        0.0655586,
        0.0630293,
        0.0619577,
        0.0609697,
        0.0606881,
        0.0599957,
        0.0593704,
        0.0626438,
        0.0631489,
        0.0584467,
        0.0581789,
        0.0567392,
        0.0564415,
        0.0571077,
        0.0581281,
        0.0577504,
        0.0568424,
        0.0568066,
        0.0565568,
        0.0563679,
        0.0553839,
        0.0538973,
        0.0514682,
        0.0482745,
        0.0447269,
        0.041301,
        0.0384903,
        0.0357966,
        0.0342989,
        0.033685,
        0.0334225,
        0.033366,
        0.0333405,
        0.0332477,
        0.0329226,
        0.0329071,
        0.0329908,
        0.0332802,
        0.0341,
        0.0352858,
        0.0371011,
        0.0394761,
        0.0431854,
        0.0474704,
        0.0525243,
        0.0577907,
        0.0605841,
        0.0596049,
        0.054166,
        0.0477425,
        0.0427298,
        0.0393609,
        0.0375575,
        0.0361493,
        0.0337079,
        0.0323182,
        0.0312304,
        0.0303366,
        0.0300139,
        0.0307026,
        0.0291961,
        0.0286162,
        0.0285117,
        0.0281674,
        0.0277868,
        0.0276637,
        0.0274085,
        0.0271916,
        0.0269676,
        0.0268832,
        0.0267537,
        0.0268912,
        0.029218,
        0.028809,
        0.0263461,
        0.0262454,
        0.026383,
        0.0263597,
        0.0263796,
        0.0263106,
        0.0260895,
        0.0258711,
        0.0257562,
        0.0255136,
        0.0254817,
        0.025308,
        0.025161,
        0.0250418,
        0.0249089,
        0.0244965,
        0.0242974,
        0.024083,
        0.0240658,
        0.024056,
        0.0239503,
        0.0255548,
        0.0254074,
        0.0238358,
        0.0238415,
        0.0237504,
        0.0236786,
        0.0237452,
        0.0238524,
        0.0238881,
        0.0239171,
        0.0239856,
        0.0240232,
        0.0241263,
        0.023987,
        0.0241247,
        0.0242613,
        0.0243406,
        0.0243404,
        0.024673,
        0.0286267,
        0.0284075,
        0.0247843,
        0.0249218,
        0.0250456,
        0.0248803,
        0.0250472,
        0.0252227,
        0.0251035,
        0.0249847,
        0.0251584,
        0.0250696,
        0.0248488,
        0.0245428,
        0.02414,
        0.0239858,
        0.0238589,
        0.0237892,
        0.0238061,
        0.0235995,
        0.0236123,
        0.0237554,
        0.0262692,
        0.0261522,
        0.0233504,
        0.023231,
        0.0230521,
        0.0229507,
        0.0230421,
        0.0229497,
        0.0228786,
        0.0229049,
        0.0229712,
        0.022872,
        0.0229045,
        0.0230222,
        0.0230449,
        0.0229035,
        0.0227766,
        0.0227051,
        0.0225736,
        0.0226066,
        0.0224457,
        0.0224913,
        0.0224921,
        0.0225642,
        0.0225895,
        0.0225718,
        0.0224265,
        0.0225321,
        0.0226679,
        0.0228205,
        0.022887,
        0.0228872,
        0.0228885,
        0.0231333,
        0.0258541,
        0.0245729,
        0.0234597,
        0.0238547,
        0.0240272,
        0.0240819,
        0.0237719,
        0.0238333,
        0.0239088,
        0.023861,
        0.0238499,
        0.0237831,
        0.0247936,
        0.0244483,
        0.0237626,
        0.023614,
        0.0235563,
        0.023585,
        0.0238221,
        0.0239253,
        0.0251326,
        0.0256285,
        0.0241167,
        0.0265896,
        0.0269707,
        0.0245415,
        0.0240909,
        0.0240135,
        0.0240455,
        0.0242675,
        0.0245971,
        0.0250452,
        0.02535,
        0.0256504,
        0.0258579,
        0.0260053,
        0.0262133,
        0.0263264,
        0.0264384,
        0.0267037,
        0.0272099,
        0.0281392,
        0.0293927,
        0.0309632,
        0.0332197,
        0.0357583,
        0.0386472,
        0.040686,
        0.0410154,
        0.0390563,
        0.0359802,
        0.0333641,
        0.0311735,
        0.0296452,
        0.028564,
        0.02808,
        0.0278897,
        0.0276471,
        0.0276518,
        0.0275169,
        0.0273582,
        0.0286576,
        0.0268657,
        0.0256787,
        0.0252676,
        0.0248674,
        0.0247643,
        0.0248878,
        0.0250452,
        0.0252537,
        0.0252537,
        0.0253302,
        0.0257839,
        0.0276609,
        0.0272113,
        0.0275601,
        0.0279673,
        0.0280055,
        0.027713,
        0.0271085,
        0.0265192,
        0.0260357,
        0.0254667,
        0.0248726,
        0.0243772,
        0.0240639,
        0.0235607,
        0.0233128,
        0.023056,
        0.0229225,
        0.0227392,
        0.0226797,
        0.02267,
        0.022543,
        0.0225696,
        0.0226582,
        0.0225465,
        0.022465,
        0.0222544,
        0.022226,
        0.0221129,
        0.0220551,
        0.0219975,
        0.0220066,
        0.0219693,
        0.0230388,
        0.0237582,
        0.0251204,
        0.0250677,
        0.022645,
        0.0225368,
        0.0225449,
        0.0225323,
        0.0225631,
        0.0227106,
        0.0230661,
        0.0233513,
        0.0235441,
        0.0236562,
        0.0236664,
        0.0237186,
        0.0240423,
        0.0240997,
        0.0236235,
        0.0234664,
        0.0233484,
        0.0234538,
        0.0234711,
        0.0235542,
        0.0235312,
        0.0235252,
        0.023792,
        0.0236931,
        0.023633,
        0.0234752,
        0.0237625,
        0.0238875,
        0.023878,
        0.0238382,
        0.0237793,
        0.0236923,
        0.0239364,
        0.0266411,
        0.026692,
        0.026153,
        0.0258779,
        0.0235935,
        0.0236246,
        0.0236297,
        0.023522,
        0.0236165,
        0.025548,
        0.0251688,
        0.023407,
        0.0234968,
        0.0234641,
        0.0235738,
        0.0237357,
        0.0234441,
        0.0235357,
        0.0236745,
        0.0239779,
        0.0241596,
        0.0242002,
        0.0245863,
        0.0248733,
        0.0253548,
        0.0256226,
        0.0257781,
        0.0260421,
        0.0263432,
        0.0267008,
        0.0269695,
        0.0269073,
        0.0267763,
        0.0270067,
        0.027112,
        0.0275585,
        0.0279031,
        0.0282704,
        0.0287232,
        0.0291021,
        0.0296241,
        0.0309548,
        0.0318666,
        0.0328326,
        0.0336122,
        0.0349845,
        0.0366164,
        0.0387241,
        0.0410693,
        0.0438062,
        0.0472937,
        0.0513322,
        0.0558755,
        0.0611573,
        0.0672872,
        0.0757297,
        0.0874855,
        0.104223,
        0.125445,
        0.152628,
        0.179335,
        0.213106,
        0.241134,
        0.193398,
        0.161038,
        0.129321,
        0.106291,
        0.0890857,
        0.0772622,
        0.0699636,
        0.0640265,
        0.0586036,
        0.0544743,
        0.051753,
        0.0500438,
        0.049631,
        0.0497583,
        0.0489331,
        0.0470712,
        0.0445522,
        0.0414697,
        0.0384124,
        0.0355164,
        0.0334623,
        0.0318056,
        0.0304864,
        0.0293683,
        0.0286564,
        0.0279855,
        0.0273855,
        0.0273527,
        0.0270262,
        0.0264505,
        0.026995,
        0.0267379,
        0.0254968,
        0.0255072,
        0.0254083,
        0.0252945,
        0.0253817,
        0.0253561,
        0.0255555,
        0.0301885,
        0.0285773,
        0.0252193,
        0.0252846,
        0.0337168,
        0.0369265,
        0.0265506,
        0.0247601,
        0.0245591,
        0.0246744,
        0.0243366,
        0.0242799,
        0.0246327,
        0.0246853,
        0.0240167,
        0.025733,
        0.0246335,
        0.0237672,
        0.0237447,
        0.0236322,
        0.0235306,
        0.0235944,
        0.0236021,
        0.023743,
        0.0235562,
        0.0235392,
        0.0262624,
        0.0261983,
        0.0233341,
        0.0235448,
        0.0237642,
        0.0238875,
        0.0243188,
        0.02854,
        0.0275805,
        0.0240724,
        0.0241169,
        0.0239227,
        0.0237329,
        0.023611,
        0.0235873,
        0.0234676,
        0.0233257,
        0.0230065,
        0.0226349,
        0.022197,
        0.0220294,
        0.0220519,
        0.0220677,
        0.0221279,
        0.0234025,
        0.0224195,
        0.0219804,
        0.0220173,
        0.0224472,
        0.0225388,
        0.0227997,
        0.0254848,
        0.0251847,
        0.0226464,
        0.0226449,
        0.0224103,
        0.0222823,
        0.0223787,
        0.0224306,
        0.0226871,
        0.0226463,
        0.0225904,
        0.0223762,
        0.0223536,
        0.0225973,
        0.0224298,
        0.0225272,
        0.0226919,
        0.0226652,
        0.0227919,
        0.0228936,
        0.0228496,
        0.0229208,
        0.0230035,
        0.023001,
        0.0229494,
        0.0227494,
        0.0227301,
        0.0226559,
        0.0227155,
        0.0226516,
        0.0226782,
        0.0226396,
        0.022458,
        0.0223638,
        0.0223888,
        0.0222067,
        0.0221522,
        0.0218852,
        0.0220095,
        0.0218997,
        0.0217284,
        0.0215024,
        0.0216856,
        0.0216563,
        0.0216421,
        0.0218261,
        0.0219465,
        0.0231576,
        0.0224251,
        0.0215703,
        0.0215221,
        0.0214745,
        0.0216946,
        0.0217527,
        0.021677,
        0.0217839,
        0.0220429,
        0.0217021,
        0.0218246,
        0.0219609,
        0.0221621,
        0.0223699,
        0.0226604,
        0.0226478,
        0.0226777,
        0.0225494,
        0.0227954,
        0.0230159,
        0.0232707,
        0.0232097,
        0.0241653,
        0.0237831,
        0.0232172,
        0.0228985,
        0.0229284,
        0.0229402,
        0.0230454,
        0.0232379,
        0.0233197,
        0.0235567,
        0.0237317,
        0.0239344,
        0.0240956,
        0.024223,
        0.024416,
        0.0246594,
        0.0251422,
        0.0255293,
        0.0259969,
        0.0265596,
        0.0276987,
        0.0292154,
        0.0307874,
        0.0324462,
        0.0343275,
        0.0350215,
        0.0343062,
        0.0327254,
        0.0311159,
        0.0297729,
        0.0290028,
        0.0283756,
        0.0278525,
        0.0272026,
        0.0265737,
        0.0261877,
        0.026154,
        0.0260416,
        0.0257551,
        0.0255461,
        0.0251871,
        0.0248851,
        0.0247916,
        0.024474,
        0.0259667,
        0.0262314,
        0.0239302,
        0.0237294,
        0.0236462,
        0.0238492,
        0.0239149,
        0.0236836,
        0.0237472,
        0.0243201,
        0.02416,
        0.0238285,
        0.0236643,
        0.0235519,
        0.0239923,
        0.0241525,
        0.0236911,
        0.0233377,
        0.0231096,
        0.0231525,
        0.024995,
        0.0253112,
        0.0252331,
        0.0240828,
        0.023329,
        0.0234759,
        0.0235706,
        0.023624,
        0.0237201,
        0.0235849,
        0.0238167,
        0.0237685,
        0.0240686,
        0.0243239,
        0.0244785,
        0.0244848,
        0.0246234,
        0.0248914,
        0.0247894,
        0.0248399,
        0.0244718,
        0.024076,
        0.0238837,
        0.0236439,
        0.0235383,
        0.023496,
        0.0235145,
        0.0235409,
        0.0235027,
        0.0235754,
        0.0232912,
        0.0230578,
        0.0235082,
        0.0235788,
        0.0234085,
        0.0233114,
        0.0231172,
        0.0228988,
        0.0228705,
        0.0226701,
        0.0224078,
        0.0224441,
        0.0223655,
        0.0223138,
        0.0224088,
        0.0221699,
        0.0221097,
        0.0221403,
        0.0220932,
        0.0221816,
        0.0222091,
        0.0221045,
        0.0221913,
        0.0223607,
        0.0224426,
        0.0224518,
        0.0230616,
        0.0257038,
        0.025281,
        0.0225531,
        0.0228987,
        0.022685,
        0.022299,
        0.0222272,
        0.0225846,
        0.0233725,
        0.0234298,
        0.0229404,
        0.0230562,
        0.0230598,
        0.0231578,
        0.023365,
        0.0238644,
        0.0240798,
        0.0237149,
        0.0234956,
        0.0235279,
        0.0236382,
        0.0233633,
        0.0232978,
        0.0231886,
        0.0236013,
        0.0234467,
        0.0233117,
        0.0233398,
        0.0241321,
        0.0238105,
        0.0228864,
        0.0230194,
        0.023101,
        0.0230484,
        0.0230377,
        0.0229482,
        0.0227236,
        0.0227523,
        0.0227326,
        0.022545,
        0.0222939,
        0.0223938,
        0.0225597,
        0.0226489,
        0.0229772,
        0.0230794,
        0.0228301,
        0.0229761,
        0.0233575,
        0.0231495,
        0.0229154,
        0.0226796,
        0.0225328,
        0.0225665,
        0.022603,
        0.0225549,
        0.022346,
        0.0224672,
        0.0227963,
        0.0227744,
        0.0228177,
        0.0228883,
        0.0227717,
        0.0226896,
        0.0227255,
        0.0227831,
        0.0228415,
        0.0230482,
        0.0232864,
        0.023328,
        0.0237333,
        0.0239835,
        0.0236305,
        0.0239919,
        0.0243326,
        0.0246495,
        0.0252337,
        0.026057,
        0.0269569,
        0.0275079,
        0.0287191,
        0.0320468,
        0.0335379,
        0.0303459,
        0.0297951,
        0.0291072,
        0.0301884,
        0.0292756,
        0.032763,
        0.032436,
        0.0279675,
        0.0279918,
        0.0278755,
        0.0274799,
        0.0267531,
        0.0261635,
        0.0259777,
        0.0266055,
        0.0259331,
        0.0250308,
        0.0249794,
        0.0240921,
        0.0252828,
        0.0257665,
        0.0252971,
        0.0237316,
        0.0233124,
        0.0234823,
        0.0222593,
        0.0237287,
        0.0227992,
        0.0226742,
        0.0226325,
        0.0228075,
        0.0228674,
        0.0229879,
        0.0230236,
        0.0228137,
        0.0229739,
        0.022544,
        0.022549,
        0.0228794,
        0.0229086,
        0.0227903,
        0.0228867,
        0.0227951,
        0.0229115,
        0.0229319,
        0.0228177,
        0.0231961,
        0.0232719,
        0.0234063,
        0.0237484,
        0.0243174,
        0.0242669,
        0.023976,
        0.0240629,
        0.0239556,
        0.023828,
        0.023906,
        0.0237735,
        0.0237088,
        0.023907,
        0.0240049,
        0.0239744,
        0.0241395,
        0.0244482,
        0.0242605,
        0.0240615,
        0.0241234,
        0.0244988,
        0.0246616,
        0.0247364,
        0.0249482,
        0.0249547,
        0.0251828,
        0.025141,
        0.0252041,
        0.0255378,
        0.0257066,
        0.0261219,
        0.0267704,
        0.0278409,
        0.0286644,
        0.0295071,
        0.0301989,
        0.0299995,
        0.0293589,
        0.0285165,
        0.0274496,
        0.0266907,
        0.02608,
        0.0256442,
        0.0250517,
        0.0251407,
        0.0248243,
        0.0240336,
        0.0250663,
        0.0263766,
        0.0260364,
        0.0243085,
        0.0241583,
        0.024372,
        0.0248585,
        0.0252208,
        0.0256332,
        0.0261458,
        0.0269533,
        0.0284904,
        0.0301656,
        0.0322773,
        0.0346253,
        0.0373993,
        0.0396595,
        0.0400309,
        0.0395831,
        0.0382098,
        0.0359586,
        0.0333926,
        0.0314542,
        0.0299154,
        0.0284555,
        0.0275821,
        0.0268046,
        0.0264576,
        0.0263274,
        0.0259311,
        0.0255246,
        0.0251371,
        0.025089,
        0.0251452,
        0.025286,
        0.0251,
        0.0251945,
        0.0252669,
        0.0253866,
        0.0257043,
        0.0256405,
        0.0272985,
        0.0266517,
        0.0254655,
        0.0252075,
        0.0250927,
        0.026364,
        0.0264908,
        0.0248591,
        0.0244394,
        0.0246107,
        0.0282996,
        0.0269538,
        0.0263249,
        0.0253618,
        0.0238559,
        0.0238379,
        0.0237688,
        0.0238533,
        0.0236259,
        0.0235518,
        0.0237144,
        0.0237409,
        0.0236408,
        0.0236683,
        0.0236416,
        0.0234687,
        0.0231853,
        0.0232622,
        0.0234131,
        0.0234454,
        0.0235794,
        0.0236754,
        0.0237525,
        0.0236031,
        0.0238399,
        0.0243356,
        0.0245335,
        0.0250407,
        0.0252955,
        0.0253692,
        0.025575,
        0.0259464,
        0.0267022,
        0.0270838,
        0.0275357,
        0.0278996,
        0.0278359,
        0.0275029,
        0.0270085,
        0.0281892,
        0.0279251,
        0.0260704,
        0.0258344,
        0.0257453,
        0.0258748,
        0.026056,
        0.0261376,
        0.0262488,
        0.0266388,
        0.0272042,
        0.0277588,
        0.0286364,
        0.0296864,
        0.0312856,
        0.0311867,
        0.0304569,
        0.0297881,
        0.0290142,
        0.028174,
        0.0277718,
        0.0274007,
        0.0299685,
        0.0295028,
        0.0261891,
        0.0261474,
        0.0260533,
        0.025746,
        0.0254657,
        0.0253899,
        0.02536,
        0.0250404,
        0.0250704,
        0.024932,
        0.0249192,
        0.0247601,
        0.0248357,
        0.0251048,
        0.0254178,
        0.0265116,
        0.0264543,
        0.0251096,
        0.0249856,
        0.0252117,
        0.0257604,
        0.0295666,
        0.0285764,
        0.0245455,
        0.0245205,
        0.0248857,
        0.0246832,
        0.0252521,
        0.0297011,
        0.028911,
        0.0247055,
        0.0246141,
        0.0247168,
        0.0250102,
        0.0248525,
        0.0246541,
        0.0248716,
        0.0247218,
        0.0249189,
        0.0251104,
        0.0252385,
        0.0255907,
        0.025881,
        0.0259648,
        0.0258123,
        0.0263315,
        0.0260752,
        0.0257764,
        0.0258325,
        0.0258299,
        0.02584,
        0.0266056,
        0.026933,
        0.0260526,
        0.0261596,
        0.0260964,
        0.0261308,
        0.0260694,
        0.0262699,
        0.0259376,
        0.0259873,
        0.0261266,
        0.0267565,
        0.0304966,
        0.0303326,
        0.0267623,
        0.0268093,
        0.0268529,
        0.0271857,
        0.0269117,
        0.0263778,
        0.0262658,
        0.030071,
        0.0334214,
        0.0278321,
        0.0258326,
        0.0256613,
        0.0255609,
        0.0259455,
        0.0261795,
        0.0260865,
        0.0255606,
        0.0257152,
        0.0257986,
        0.0257981,
        0.0257347,
        0.0256817,
        0.025519,
        0.0253596,
        0.0256879,
        0.0259476,
        0.0259669,
        0.0283208,
        0.0291315,
        0.0264195,
        0.0262547,
        0.0277447,
        0.0281652,
        0.0285144,
        0.0280615,
        0.0272215,
        0.0275763,
        0.0279776,
        0.0280941,
        0.028421,
        0.0284294,
        0.0286538,
        0.0290753,
        0.0289563,
        0.028938,
        0.0288702,
        0.028688,
        0.0286104,
        0.0285139,
        0.0286762,
        0.0285439,
        0.0304702,
        0.0299424,
        0.028267,
        0.0282484,
        0.0279446,
        0.0278881,
        0.0277529,
        0.0278053,
        0.0278617,
        0.0280543,
        0.0280731,
        0.0280902,
        0.028032,
        0.02824,
        0.028475,
        0.0276027,
        0.0304887,
        0.0300369,
        0.0279736,
        0.0279852,
        0.0280237,
        0.0279804,
        0.0281729,
        0.028421,
        0.0286363,
        0.0291649,
        0.0286423,
        0.0280092,
        0.028103,
        0.0279928,
        0.0280791,
        0.0283218,
        0.0321463,
        0.0313128,
        0.0293574,
        0.0298572,
        0.0306649,
        0.0311576,
        0.0311118,
        0.0311372,
        0.0309737,
        0.0308418,
        0.0307633,
        0.033312,
        0.0330774,
        0.0304231,
        0.030399,
        0.0302571,
        0.0299947,
        0.0297565,
        0.0296829,
        0.0297694,
        0.029959,
        0.0301989,
        0.0302426,
        0.0304179,
        0.0306227,
        0.0308543,
        0.0310996,
        0.0315886,
        0.0323086,
        0.0332275,
        0.0343877,
        0.0346594,
        0.0353928,
        0.0352438,
        0.0365231,
        0.037777,
        0.0391365,
        0.0405385,
        0.0406732,
        0.039851,
        0.0388481,
        0.0377492,
        0.0372289,
        0.0369529,
        0.0366482,
        0.036258,
        0.0361314,
        0.0362732,
        0.0358614,
        0.0355099,
        0.0353565,
        0.035284,
        0.0350895,
        0.0349097,
        0.035627,
        0.0355737,
        0.0354437,
        0.0355558,
        0.0358182,
        0.0358764,
        0.0359699,
        0.0358097,
        0.0360652,
        0.036279,
        0.0365007,
        0.0368673,
        0.0373668,
        0.0377583,
        0.0384049,
        0.0438001,
        0.0442038,
        0.0408982,
        0.0399115,
        0.0407367,
        0.0409778,
        0.0410958,
        0.0421117,
        0.0420849,
        0.0421117,
        0.0423305,
        0.0429415,
        0.0436696,
        0.0459262,
        0.0458956,
        0.0467017,
        0.0474617,
        0.0484266,
        0.0491737,
        0.0503152,
        0.0520461,
        0.0536726,
        0.0552962,
        0.0568957,
        0.0581991,
        0.0590567,
        0.0619182,
        0.0655688,
        0.0678789,
        0.0711293,
        0.0753606,
        0.0794589,
        0.0835265,
        0.0865671,
        0.0913266,
        0.100371,
        0.108742,
        0.118555,
        0.129895,
        0.145652,
        0.165634,
        0.189088,
        0.220621,
        0.276258,
        0.228686,
        0.19922,
        0.180529,
        0.168959,
        0.158031,
        0.149431,
        0.153923,
        0.146525,
        0.131241,
        0.132745,
        0.131093,
        0.128521,
        0.146131,
        0.149187,
        0.13939,
        0.140033,
        0.141122,
        0.149312,
        0.159366,
        0.168825,
        0.187491,
        0.212393,
        0.264212,
        0.221147,
        0.188016,
        0.169105,
        0.157001,
        0.146462,
        0.137392,
        0.123803,
        0.109733,
        0.10446,
        0.0982267,
        0.0930502,
        0.101159,
        0.10202,
        0.091645,
        0.0763555,
        0.0722775,
        0.0696075,
        0.068112,
        0.0676333,
        0.0650533,
        0.0741578,
        0.0721073,
        0.060794,
        0.0590922,
        0.0581616,
        0.0571478,
        0.0573508,
        0.0579861,
        0.0574671,
        0.0639029,
        0.0591997,
        0.0528638,
        0.0525204,
        0.0514974,
        0.051165,
        0.0515553,
        0.0527931,
        0.0543227,
        0.0565315,
        0.0577295,
        0.0592499,
        0.0616964,
        0.0631611,
        0.0619806,
        0.059299,
        0.0562142,
        0.0536419,
        0.0514691,
        0.0492855,
        0.047544,
        0.0467474,
        0.0455694,
        0.0447819,
        0.0446067,
        0.0444054,
        0.043927,
        0.0439404,
        0.0438487,
        0.0432282,
        0.0429412,
        0.0429562,
        0.0426396,
        0.0422267,
        0.0431017,
        0.0429829,
        0.0415019,
        0.0432554,
        0.0430522,
        0.0412689,
        0.0409626,
        0.040283,
        0.0396507,
        0.0394104,
        0.0394814,
        0.0393471,
        0.0402702,
        0.0404629,
        0.0385422,
        0.0383987,
        0.0365005,
        0.0363398,
        0.0362323,
        0.0359836,
        0.0357594,
        0.0354596,
        0.0355151,
        0.0353294,
        0.0347961,
        0.0346993,
        0.0346738,
        0.0350415,
        0.0349743,
        0.0347162,
        0.0346454,
        0.0343838,
        0.0347936,
        0.0346644,
        0.034262,
        0.034563,
        0.0347071,
        0.0349202,
        0.0350013,
        0.0357669,
        0.0360291,
        0.0352394,
        0.0352653,
        0.0349496,
        0.0347631,
        0.0351657,
        0.0355438,
        0.035729,
        0.0354497,
        0.0353138,
        0.0354037,
        0.0353169,
        0.0354316,
        0.0358194,
        0.035923,
        0.0357267,
        0.0357509,
        0.035654,
        0.0359282,
        0.0354377,
        0.0352625,
        0.0359784,
        0.0359458,
        0.0350107,
        0.034713,
        0.0346926,
        0.0343395,
        0.0342193,
        0.035151,
        0.034271,
        0.034681,
        0.0347279,
        0.0361977,
        0.0363923,
        0.0338173,
        0.0337041,
        0.0339256,
        0.0340544,
        0.0341816,
        0.0344343,
        0.0347408,
        0.0344314,
        0.0343711,
        0.0344151,
        0.0341622,
        0.0338585,
        0.0345714,
        0.0347731,
        0.0348143,
        0.0349523,
        0.0354486,
        0.0357039,
        0.0349921,
        0.0347078,
        0.0350244,
        0.0348642,
        0.0346711,
        0.0345881,
        0.0340404,
        0.0343589,
        0.0344648,
        0.0342858,
        0.0343076,
        0.0373748,
        0.0381777,
        0.0349695,
        0.0349867,
        0.0352107,
        0.0349414,
        0.0345005,
        0.0341589,
        0.0346777,
        0.0348291,
        0.0350458,
        0.035189,
        0.0357164,
        0.0354249,
        0.035356,
        0.0358746,
        0.0360624,
        0.0360981,
        0.0366036,
        0.0371781,
        0.0381816,
        0.0418815,
        0.0413798,
        0.0369873,
        0.0364166,
        0.0361696,
        0.0358481,
        0.0357706,
        0.0353244,
        0.0352368,
        0.0352392,
        0.0351202,
        0.0351097,
        0.0349191,
        0.03501,
        0.035179,
        0.0351564,
        0.0346936,
        0.0347917,
        0.0349238,
        0.0356059,
        0.0356494,
        0.0361338,
        0.0404123,
        0.0399689,
        0.0350477,
        0.0347696,
        0.0346408,
        0.0348328,
        0.0357019,
        0.0358996,
        0.0346159,
        0.0342952,
        0.0340952,
        0.034093,
        0.034332,
        0.0343073,
        0.0344689,
        0.0345787,
        0.0346216,
        0.0345524,
        0.0348403,
        0.0352018,
        0.0354227,
        0.0353951,
        0.0361279,
        0.0366137,
        0.0369449,
        0.0371419,
        0.0375183,
        0.0380663,
        0.0392462,
        0.0403398,
        0.0422044,
        0.0440852,
        0.0458088,
        0.0473479,
        0.047024,
        0.0461344,
        0.0438812,
        0.0420962,
        0.0412552,
        0.0402279,
        0.0395675,
        0.0392083,
        0.0385842,
        0.0384651,
        0.0380132,
        0.0380679,
        0.0379015,
        0.0376093,
        0.0378015,
        0.0373183,
        0.0371441,
        0.0375219,
        0.0375851,
        0.0377828,
        0.0375932,
        0.0377623,
        0.0379589,
        0.039089,
        0.0399682,
        0.0371648,
        0.0369443,
        0.0366645,
        0.0367826,
        0.0367639,
        0.0365348,
        0.036047,
        0.0363042,
        0.0358596,
        0.036053,
        0.0363778,
        0.036116,
        0.0358568,
        0.0359478,
        0.0359378,
        0.0355565,
        0.0357378,
        0.0357284,
        0.0364757,
        0.0373676,
        0.0359738,
        0.0362744,
        0.0363395,
        0.0354778,
        0.0356865,
        0.0362335,
        0.0361258,
        0.0365262,
        0.036299,
        0.036334,
        0.0368666,
        0.0370967,
        0.037342,
        0.0410962,
        0.0411908,
        0.0370318,
        0.0369949,
        0.0370313,
        0.0372037,
        0.037749,
        0.037583,
        0.0377812,
        0.0379684,
        0.0379542,
        0.0380936,
        0.0389097,
        0.0388245,
        0.0391801,
        0.0398988,
        0.0391126,
        0.0390693,
        0.0390682,
        0.0396022,
        0.0395984,
        0.0395457,
        0.0400333,
        0.0403823,
        0.0408755,
        0.0405489,
        0.0408995,
        0.0410656,
        0.0414297,
        0.0415997,
        0.0416933,
        0.0413925,
        0.0412292,
        0.0414719,
        0.0417096,
        0.041834,
        0.0419364,
        0.0417127,
        0.0414181,
        0.0416177,
        0.0430419,
        0.0419587,
        0.0425639,
        0.0426662,
        0.0425281,
        0.0429005,
        0.0429947,
        0.0426663,
        0.0426759,
        0.0430019,
        0.0434585,
        0.0432428,
        0.0430101,
        0.0433282,
        0.0436609,
        0.0439224,
        0.0443303,
        0.0448611,
        0.0447286,
        0.0446571,
        0.0448983,
        0.0448849,
        0.0455147,
        0.0461695,
        0.0468101,
        0.0472434,
        0.0479515,
        0.0482976,
        0.0482623,
        0.0494516,
        0.0498011,
        0.0499885,
        0.0507179,
        0.0511194,
        0.0518285,
        0.0525744,
        0.0532311,
        0.0538139,
        0.0547,
        0.0556469,
        0.0561705,
        0.0566384,
        0.0568526,
        0.0578682,
        0.0588135,
        0.0613949,
        0.0626929,
        0.0631208,
        0.0645747,
        0.0652851,
        0.0664685,
        0.0677314,
        0.0688367,
        0.0709075,
        0.0725748,
        0.0719065,
        0.0738263,
        0.0786008,
        0.0817944,
        0.0817683,
        0.0831501,
        0.0865915,
        0.0885875,
        0.0907558,
        0.0936695,
        0.0979311,
        0.100648,
        0.10375,
        0.109143,
        0.112921,
        0.117231,
        0.121345,
        0.131104,
        0.139712,
        0.147349,
        0.155111,
        0.165252,
        0.182714,
        null,
        0.0626366,
        0.0638091,
        0.0602839,
        0.0591258,
        0.0579644,
        0.0600272,
        0.0553383,
        0.0477811,
        0.0457454,
        0.044196,
        0.0427443,
        0.0416589,
        0.041111,
        0.0416049,
        0.0412293,
        0.0399391,
        0.0397305,
        0.0394102,
        0.0395756,
        0.0395342,
        0.0395459,
        0.0393276,
        0.0391826,
        0.0389859,
        0.0391637,
        0.0433937,
        0.0417587,
        0.039281,
        0.0394085,
        0.0398927,
        0.0399632,
        0.0397325,
        0.0398071,
        0.0397873,
        0.0399607,
        0.040313,
        0.0405134,
        0.0405204,
        0.0404876,
        0.0404784,
        0.0404886,
        0.0404147,
        0.0407464,
        0.0409579,
        0.0411544,
        0.0412804,
        0.0442607,
        0.0437717,
        0.0420319,
        0.0412818,
        0.0414647,
        0.0415285,
        0.0419246,
        0.0419744,
        0.0421265,
        0.0421485,
        0.0425561,
        0.0423907,
        0.0426083,
        0.0427069,
        0.0428875,
        0.0434401,
        0.0439658,
        0.0446936,
        0.0453366,
        0.0455782,
        0.046041,
        0.0464729,
        0.0466514,
        0.0469777,
        0.0471403,
        0.0473999,
        0.0480131,
        0.0482669,
        0.0491218,
        0.0506544,
        0.0527678,
        0.0548198,
        0.0568637,
        0.0579986,
        0.0567279,
        0.0547812,
        0.0532434,
        0.0516978,
        0.0505169,
        0.0504736,
        0.0509084,
        0.0502592,
        0.0509062,
        0.0514197,
        0.0516192,
        0.0519713,
        0.052388,
        0.0524525,
        0.052444,
        0.0540855,
        0.0606483,
        0.0604591,
        0.0551668,
        0.0557006,
        0.0560902,
        0.057008,
        0.0581602,
        0.0587046,
        0.0592001,
        0.0599303,
        0.0612381,
        0.0621078,
        0.0628689,
        0.0642534,
        0.0657076,
        0.0660644,
        0.0692903,
        0.0715702,
        0.0696912,
        0.0708638,
        0.0720467,
        0.0733754,
        0.0759395,
        0.0837806,
        0.0851199,
        0.0815587,
        0.0841112,
        0.0858833,
        0.0887927,
        0.0928992,
        0.0942857,
        0.0975833,
        0.102524,
        0.107639,
        0.112406,
        0.118965,
        0.126138,
        0.133929,
        0.141618,
        0.148314,
        0.157514,
        0.171449,
        0.231617,
        0.218375,
        0.209343,
        0.19986,
        0.195737,
        0.189488,
        0.187607,
        0.185413,
        0.185674,
        0.188368,
        0.187424,
        0.187366,
        0.185841,
        0.196032,
        0.203348,
        0.205351,
        0.209471,
        0.311426,
        0.28329,
        0.260745,
        0.240667,
        0.219851,
        0.2037,
        0.194137,
        0.181631,
        0.17094,
        0.162799,
        0.155008,
        0.150834,
        0.144536,
        0.1378,
        0.138824,
        0.1363,
        0.123815,
        0.12241,
        0.119253,
        0.115965,
        0.113498,
        0.110314,
        0.107909,
        0.104046,
        0.101409,
        0.110224,
        0.108075,
        0.0976985,
        0.0966706,
        0.0962366,
        0.0959789,
        0.0948884,
        0.092414,
        0.0918482,
        0.0919341,
        0.0920808,
        0.0902754,
        0.0899369,
        0.0902108,
        0.0903213,
        0.0910359,
        0.090184,
        0.0901383,
        0.0914851,
        0.0914716,
        0.0910228,
        0.0914939,
        0.09256,
        0.0931721,
        0.0936392,
        0.0942334,
        0.0937629,
        0.0952011,
        0.0954484,
        0.0963831,
        0.0982019,
        0.0999003,
        0.101768,
        0.102015,
        0.103726,
        0.10617,
        0.107392,
        0.108841,
        0.108627,
        0.111032,
        0.114777,
        0.116217,
        0.114994,
        0.116055,
        0.119176,
        0.124979,
        0.129373,
        0.132104,
        0.133154,
        0.135432,
        0.140249,
        0.143855,
        0.146995,
        0.15249,
        0.159261,
        0.1617,
        0.165499,
        0.172277,
        0.183446,
        0.188516,
        0.206211,
        0.213215,
        0.226392,
        null,
        0.262293,
        0.247017,
        0.21346,
        0.200087,
        0.196141,
        0.187708,
        0.17724,
        0.167167,
        0.16002,
        0.154235,
        0.149514,
        0.142742,
        0.135857,
        0.132138,
        0.129076,
        0.124227,
        0.119379,
        0.116231,
        0.113356,
        0.109418,
        0.106722,
        0.102807,
        0.0999698,
        0.0981728,
        0.0967715,
        0.0946847,
        0.0916923,
        0.0870869,
        0.0866701,
        0.0871655,
        0.0860868,
        0.0835515,
        0.0810295,
        0.0790145,
        0.0800216,
        0.079062,
        0.0763311,
        0.0740706,
        0.0735645,
        0.0731049,
        0.0720191,
        0.0716575,
        0.0712514,
        0.0705445,
        0.0697698,
        0.0684369,
        0.068114,
        0.0659099,
        0.0649913,
        0.0653264,
        0.0648708,
        0.0632902,
        0.0621675,
        0.0610277,
        0.0609392,
        0.0600253,
        0.0590183,
        0.0591281,
        0.0592247,
        0.0581035,
        0.056708,
        0.0557376,
        0.0553513,
        0.0549825,
        0.0544924,
        0.0538058,
        0.0528457,
        0.0523125,
        0.051591,
        0.0509753,
        0.0504919,
        0.0499874,
        0.0494313,
        0.0483387,
        0.0475514,
        0.0475887,
        0.0490438,
        0.0482885,
        0.0467841,
        0.0513251,
        0.0477239,
        0.0447555,
        0.0448305,
        0.044851,
        0.0449423,
        0.0441286,
        0.0437201,
        0.0441981,
        0.0445882,
        0.0450162,
        0.0444137,
        0.043636,
        0.0430985,
        0.0426352,
        0.0427937,
        0.04279,
        0.0427426,
        0.0421805,
        0.0419461,
        0.0413666,
        0.0411809,
        0.0413682,
        0.041688,
        0.0415647,
        0.0414941,
        0.0415916,
        0.0416069,
        0.0413151,
        0.0414923,
        0.040779,
        0.040602,
        0.0406142,
        0.0407719,
        0.0406515,
        0.0405934,
        0.0404268,
        0.0408149,
        0.0410335,
        0.0409495,
        0.0406884,
        0.0405287,
        0.040796,
        0.0408527,
        0.0402469,
        0.0395767,
        0.0391121,
        0.0390664,
        0.0388283,
        0.0386247,
        0.0378203,
        0.0374564,
        0.0372736,
        0.0372068,
        0.0371012,
        0.0369115,
        0.0369343,
        0.0371545,
        0.037472,
        0.0381873,
        0.0391377,
        0.0405118,
        0.0421702,
        0.0433232,
        0.0432819,
        0.0418328,
        0.0395656,
        0.0379563,
        0.0369861,
        0.0361861,
        0.0376871,
        0.0360562,
        0.0349526,
        0.0350525,
        0.0349745,
        0.034488,
        0.0342016,
        0.0340456,
        0.0340763,
        0.034096,
        0.0345369,
        0.0370289,
        0.0348715,
        0.0337001,
        0.033484,
        0.0335694,
        0.0337272,
        0.0338899,
        0.0340119,
        0.0341165,
        0.0340792,
        0.0343156,
        0.0366862,
        0.0383787,
        0.0360825,
        0.0365254,
        0.0367646,
        0.0368178,
        0.0371799,
        0.0372408,
        0.0365245,
        0.035415,
        0.0345326,
        0.0340755,
        0.0341341,
        0.0342095,
        0.0341205,
        0.0339224,
        0.0337761,
        0.0336157,
        0.0334471,
        0.0333336,
        0.0333429,
        0.0329362,
        0.0325362,
        0.0320345,
        0.0319534,
        0.0317479,
        0.0315495,
        0.0317048,
        0.0316284,
        0.0312133,
        0.0311384,
        0.0311844,
        0.0308729,
        0.0307341,
        0.0307257,
        0.0306074,
        0.0305333,
        0.0308844,
        0.0314133,
        0.0346075,
        0.0327555,
        0.0314294,
        0.0321515,
        0.0325288,
        0.0331953,
        0.033962,
        0.0352451,
        0.0360732,
        0.0369572,
        0.0383431,
        0.038911,
        0.0392721,
        0.0396832,
        0.0389594,
        0.0379875,
        0.0368137,
        0.0352286,
        0.0343832,
        0.0334532,
        0.0331015,
        0.0325028,
        0.0321254,
        0.0316036,
        0.0315978,
        0.0316312,
        0.0316105,
        0.0308596,
        0.0307433,
        0.0306896,
        0.0303916,
        0.0302553,
        0.030185,
        0.0302088,
        0.0302455,
        0.030095,
        0.0299612,
        0.0296594,
        0.0295157,
        0.0294833,
        0.0292608,
        0.0292798,
        0.0290787,
        0.0288775,
        0.0288005,
        0.0323197,
        0.0308894,
        0.0283622,
        0.0281773,
        0.0282213,
        0.0279315,
        0.027655,
        0.027884,
        0.027625,
        0.0275663,
        0.0276639,
        0.0275713,
        0.0274984,
        0.0272822,
        0.0274914,
        0.0277677,
        0.027633,
        0.0274242,
        0.0273367,
        0.0275183,
        0.0298204,
        0.0295838,
        0.0275222,
        0.0314177,
        0.0314295,
        0.0280922,
        0.0312037,
        0.0311516,
        0.0282798,
        0.0285949,
        0.0285711,
        0.0286586,
        0.02827,
        0.0280421,
        0.0277983,
        0.0279738,
        0.0281398,
        0.0279907,
        0.0279138,
        0.0281286,
        0.0283026,
        0.0283327,
        0.0279436,
        0.0277651,
        0.0279689,
        0.0281149,
        0.0283711,
        0.0283865,
        0.0281275,
        0.0280872,
        0.0280942,
        0.0279728,
        0.0278259,
        0.0277791,
        0.027722,
        0.0276383,
        0.027561,
        0.0276018,
        0.0275892,
        0.0278406,
        0.0278266,
        0.0278552,
        0.0278635,
        0.0279097,
        0.0280734,
        0.0285063,
        0.0302594,
        0.0306881,
        0.0293684,
        0.030017,
        0.031218,
        0.0329301,
        0.0322907,
        0.0331269,
        0.0335824,
        0.0338036,
        0.0326733,
        0.0309538,
        0.0297423,
        0.0289259,
        0.0284098,
        0.0279652,
        0.0275693,
        0.0276929,
        0.0274977,
        0.0274565,
        0.0271145,
        0.0274486,
        0.0274299,
        0.0271119,
        0.0274697,
        0.0276271,
        0.0279257,
        0.0297275,
        0.0293616,
        0.0280951,
        0.0281939,
        0.0276686,
        0.027625,
        0.0277984,
        0.0284548,
        0.028877,
        0.0276123,
        0.0277148,
        0.0277106,
        0.0286304,
        0.0329231,
        0.0325763,
        0.0280918,
        0.0281135,
        0.0280152,
        0.0282925,
        0.0282235,
        0.0283077,
        0.0281248,
        0.0284336,
        0.0282616,
        0.0283041,
        0.0283246,
        0.028184,
        0.0281709,
        0.0283698,
        0.0281102,
        0.0276059,
        0.0273737,
        0.0272165,
        0.0274258,
        0.027121,
        0.0268862,
        0.0269169,
        0.0271467,
        0.027612,
        0.0274951,
        0.0274623,
        0.0272169,
        0.0274265,
        0.027496,
        0.0274492,
        0.0271832,
        0.0272051,
        0.0272948,
        0.0275454,
        0.0278423,
        0.0281686,
        0.0279689,
        0.0280062,
        0.028283,
        0.0285991,
        0.0290053,
        0.0293884,
        0.0295894,
        0.029776,
        0.0298783,
        0.0300046,
        0.0320128,
        0.0316241,
        0.0296493,
        0.0299826,
        0.0302777,
        0.0310866,
        0.0316086,
        0.0320692,
        0.0322915,
        0.032592,
        0.0361472,
        0.0350387,
        0.0313087,
        0.0307403,
        0.0302575,
        0.0299682,
        0.0293678,
        0.0288698,
        0.0312144,
        0.0294338,
        0.0278474,
        0.0278499,
        0.0277229,
        0.0314739,
        0.0318665,
        0.0276627,
        0.0276519,
        0.0276654,
        0.027332,
        0.0273516,
        0.027138,
        0.0270853,
        0.0299731,
        0.0294701,
        0.0262823,
        0.0262531,
        0.0264448,
        0.0265206,
        0.0264474,
        0.026262,
        0.0265713,
        0.0262461,
        0.0259836,
        0.0272981,
        0.0280776,
        0.0269217,
        0.0267154,
        0.0262861,
        0.0261103,
        0.0259186,
        0.0254502,
        0.025815,
        0.0257148,
        0.0259028,
        0.0258975,
        0.0256571,
        0.0257881,
        0.0260269,
        0.0298978,
        0.0296147,
        0.0257083,
        0.02578,
        0.0261779,
        0.0264642,
        0.0292157,
        0.02903,
        0.0267937,
        0.0269932,
        0.0272072,
        0.0272831,
        0.0271308,
        0.0270863,
        0.0272442,
        0.0275268,
        0.0276165,
        0.0277074,
        0.0279269,
        0.0282499,
        0.0283927,
        0.0283326,
        0.0288811,
        0.0289283,
        0.0293276,
        0.0299711,
        0.030605,
        0.0307807,
        0.0306946,
        0.0312121,
        0.0309978,
        0.0308504,
        0.0300425,
        0.0295265,
        0.029261,
        0.0288773,
        0.0285455,
        0.0282098,
        0.0281224,
        0.0302632,
        0.0300242,
        0.0281567,
        0.028153,
        0.0286398,
        0.0284834,
        0.0288458,
        0.0294789,
        0.0302322,
        0.0308329,
        0.0315461,
        0.0324041,
        0.032978,
        0.0331909,
        0.0323379,
        0.031084,
        0.0300109,
        0.0289602,
        0.0283654,
        0.0279786,
        0.0280044,
        0.0289608,
        0.0275271,
        0.0267999,
        0.0269414,
        0.026916,
        0.0266814,
        0.0267506,
        0.0266299,
        0.0267658,
        0.0269216,
        0.02668,
        0.0265534,
        0.0264867,
        0.0265826,
        0.0267536,
        0.0270321,
        0.0270112,
        0.0269531,
        0.0270147,
        0.0271869,
        0.0273015,
        0.0274159,
        0.0273628,
        0.0273551,
        0.0271678,
        0.0269964,
        0.0273049,
        0.0274791,
        0.0274016,
        0.027333,
        0.0274693,
        0.0274841,
        0.0275988,
        0.0273547,
        0.0272532,
        0.0273014,
        0.0283253,
        0.0281549,
        0.0275253,
        0.027719,
        0.0278681,
        0.0277206,
        0.0275609,
        0.0276552,
        0.0273454,
        0.0274517,
        0.0269789,
        0.0271143,
        0.0271657,
        0.027021,
        0.0269761,
        0.0271608,
        0.0271063,
        0.027048,
        0.0269648,
        0.0269066,
        0.0269998,
        0.0267434,
        0.0268207,
        0.0267427,
        0.0269269,
        0.0270853,
        0.0270444,
        0.026991,
        0.0273028,
        0.0275533,
        0.027952,
        0.0282599,
        0.0285167,
        0.0287657,
        0.0288625,
        0.0289535,
        0.0288126,
        0.0283348,
        0.028071,
        0.0279931,
        0.0276896,
        0.0277322,
        0.0278585,
        0.0275741,
        0.0271756,
        0.0271984,
        0.0271614,
        0.0274992,
        0.028458,
        0.0288208,
        0.0275101,
        0.0275595,
        0.0276848,
        0.0278594,
        0.0276884,
        0.0277851,
        0.0279954,
        0.0277612,
        0.0280134,
        0.0285845,
        0.0283876,
        0.028756,
        0.0316283,
        0.0313393,
        0.0301676,
        0.030202,
        0.0306317,
        0.0310752,
        0.0312256,
        0.0313566,
        0.0312845,
        0.0313949,
        0.0312388,
        0.0305917,
        0.0304498,
        0.0305376,
        0.0303921,
        0.0308115,
        0.0314485,
        0.0322294,
        0.033564,
        0.0353037,
        0.0363329,
        0.0370946,
        0.0372909,
        0.0373039,
        0.0368256,
        0.0351929,
        0.0339804,
        0.0328318,
        0.0318446,
        0.0305583,
        0.0297015,
        0.0290936,
        0.0288298,
        0.0285826,
        0.0283249,
        0.0278116,
        0.0271749,
        0.0271932,
        0.0275869,
        0.02751,
        0.027709,
        0.0278299,
        0.0300093,
        0.029545,
        0.0276015,
        0.0283696,
        0.0282221,
        0.0275615,
        0.0277635,
        0.0282998,
        0.0282894,
        0.0282153,
        0.0279443,
        0.0277496,
        0.027689,
        0.0278402,
        0.0276752,
        0.0278432,
        0.0280808,
        0.0283308,
        0.0284767,
        0.0282578,
        0.0283136,
        0.0286529,
        0.0289352,
        0.0289368,
        0.0289157,
        0.0288779,
        0.0287394,
        0.0286041,
        0.0288234,
        0.0289594,
        0.0289406,
        0.0288222,
        0.0287769,
        0.0288316,
        0.0291661,
        0.0296251,
        0.0298523,
        0.0314615,
        0.0309611,
        0.0302402,
        0.0306362,
        0.0312271,
        0.0317984,
        0.0326491,
        0.0338377,
        0.0343257,
        0.0334352,
        0.0321949,
        0.0314844,
        0.031002,
        0.0304415,
        0.0300115,
        0.0296687,
        0.0337417,
        0.0330819,
        0.0294725,
        0.0334919,
        0.0326996,
        0.0285529,
        0.0287004,
        0.0291033,
        0.0292669,
        0.02948,
        0.0297925,
        0.0297305,
        0.0297835,
        0.0299403,
        0.0299733,
        0.0302535,
        0.0304187,
        0.0298748,
        0.0301242,
        0.0301541,
        0.0307288,
        0.0308775,
        0.0305507,
        0.0310511,
        0.0313231,
        0.0314608,
        0.0318382,
        0.0348699,
        0.0345039,
        0.0316803,
        0.0320152,
        0.0367713,
        0.0362603,
        0.0323034,
        0.0326461,
        0.0327909,
        0.0332659,
        0.0336921,
        0.0340822,
        0.0339818,
        0.0336953,
        0.0334611,
        0.0335134,
        0.0333125,
        0.033706,
        0.0340528,
        0.0339868,
        0.0342246,
        0.0346721,
        0.0350215,
        0.0348999,
        0.0348997,
        0.0354548,
        0.0356424,
        0.0358663,
        0.0358662,
        0.0356505,
        0.035446,
        0.0357246,
        0.0362654,
        0.0367994,
        0.0380645,
        0.0379687,
        0.0377942,
        0.0403575,
        0.0406763,
        0.0393747,
        0.0392076,
        0.0394879,
        0.0403358,
        0.040722,
        0.041442,
        0.0423473,
        0.0432076,
        0.0437789,
        0.044338,
        0.0449515,
        0.0462934,
        0.0474169,
        0.0487901,
        0.0509597,
        0.0515487,
        0.0518242,
        0.0531837,
        0.0549201,
        0.056665,
        0.0590805,
        0.0611642,
        0.0637669,
        0.0663545,
        0.0689144,
        0.0726968,
        0.0775536,
        0.0808839,
        0.0860365,
        0.0909876,
        0.0959598,
        0.101004,
        0.111212,
        0.12703,
        0.141086,
        0.151535,
        0.167175,
        0.192006,
        0.22639,
        0.233607,
        0.161646,
        0.143294,
        0.127538,
        0.116022,
        0.108012,
        0.100563,
        0.0971816,
        0.0940551,
        0.0876724,
        0.0818079,
        0.0786985,
        0.0751484,
        0.0723276,
        0.0696845,
        0.0689889,
        0.0666552,
        0.0638655,
        0.0649535,
        0.0645763,
        0.0580443,
        0.0575833,
        0.0567935,
        0.0551986,
        0.0538482,
        0.052209,
        0.0522475,
        0.0517152,
        0.0508395,
        0.0499525,
        0.0489972,
        0.0487422,
        0.0483464,
        0.0478379,
        0.0473701,
        0.0465052,
        0.0459258,
        0.0454353,
        0.0449592,
        0.0482825,
        0.0482551,
        0.0443682,
        0.0448317,
        0.0454467,
        0.0461755,
        0.046055,
        0.0459232,
        0.0461567,
        0.0460679,
        0.0452594,
        0.0446548,
        0.0441351,
        0.0431835,
        0.0419474,
        0.0412023,
        0.0406668,
        0.0401812,
        0.0395781,
        0.0389529,
        0.0389177,
        0.0386155,
        0.0386084,
        0.0382663,
        0.0380224,
        0.0386736,
        0.0387694,
        0.0386435,
        0.038056,
        0.0377862,
        0.0378633,
        0.0380731,
        0.0377762,
        0.0380821,
        0.038437,
        0.0386579,
        0.0384107,
        0.038564,
        0.0388272,
        0.0385028,
        0.0386296,
        0.0388917,
        0.0387808,
        0.0389439,
        0.0390143,
        0.0391812,
        0.0394959,
        0.039451,
        0.0396307,
        0.0398835,
        0.0403088,
        0.0403956,
        0.0405462,
        0.0408808,
        0.0401517,
        0.0404288,
        0.0407023,
        0.041018,
        0.0410143,
        0.0412484,
        0.0412624,
        0.0424359,
        0.0430451,
        0.0420084,
        0.0416487,
        0.0418697,
        0.0417679,
        0.0416388,
        0.0417356,
        0.0422027,
        0.0429646,
        0.0434674,
        0.043043,
        0.0430504,
        0.0432574,
        0.0436094,
        0.0436895,
        0.0442063,
        0.0443085,
        0.044965,
        0.0453322,
        0.0452933,
        0.0459069,
        0.0468712,
        0.048058,
        0.0486162,
        0.0491857,
        0.0499138,
        0.0507913,
        0.0524077,
        0.0538594,
        0.0549229,
        0.0563117,
        0.0581697,
        0.060255,
        0.0627342,
        0.0660364,
        0.0689053,
        0.0713245,
        0.0759494,
        0.0785329,
        0.0793441,
        0.0806668,
        0.0809935,
        0.0784095,
        0.0778063,
        0.0839243,
        0.0837503,
        0.0777704,
        0.0797329,
        0.0807866,
        0.0821963,
        0.0861572,
        0.0894414,
        0.0924597,
        0.0961465,
        0.0983491,
        0.102948,
        0.107225,
        0.11441,
        0.123811,
        0.134,
        0.141842,
        0.150799,
        0.161511,
        0.177074,
        0.195526,
        0.220273,
        0.25012,
        0.218412,
        0.196719,
        0.182592,
        0.168701,
        0.151228,
        0.140591,
        0.130837,
        0.122467,
        0.11495,
        0.106572,
        0.100399,
        0.0966416,
        0.0930657,
        0.0894348,
        0.0854305,
        0.0827227,
        0.0800243,
        0.0785837,
        0.0771366,
        0.0743228,
        0.0719939,
        0.0713353,
        0.0687554,
        0.0662818,
        0.0642752,
        0.0625925,
        0.062122,
        0.0640191,
        0.0629877,
        0.0596339,
        0.0584919,
        0.057541,
        0.056264,
        0.0558173,
        0.0552005,
        0.0542196,
        0.054386,
        0.0545762,
        0.0543945,
        0.0542798,
        0.0536951,
        0.0526599,
        0.0514024,
        0.0502674,
        0.0497673,
        0.0484464,
        0.0475718,
        0.0471401,
        0.0465899,
        0.046726,
        0.0459906,
        0.0447697,
        0.0436593,
        0.0431108,
        0.0425647,
        0.0422871,
        0.0424717,
        0.0429919,
        0.0431238,
        0.0425028,
        0.0425132,
        0.0418295,
        0.0404661,
        0.0405147,
        0.0409608,
        0.0454163,
        0.0467624,
        0.0415365,
        0.0411042,
        0.0407755,
        0.0408845,
        0.0405323,
        0.0404066,
        0.0401511,
        0.0398151,
        0.0401907,
        0.0428085,
        0.04326,
        0.0398239,
        0.0397326,
        0.0392159,
        0.0390474,
        0.0386972,
        0.0387602,
        0.0388967,
        0.038928,
        0.0443476,
        0.0439479,
        0.0395996,
        0.0451342,
        0.0434609,
        0.0380874,
        0.0379453,
        0.0385534,
        0.0383537,
        0.0399261,
        0.039686,
        0.0412361,
        0.044328,
        0.0404081,
        0.0371926,
        0.0369247,
        0.0368793,
        0.0375024,
        0.037512,
        0.0373566,
        0.0391829,
        0.0377983,
        0.0379645,
        0.0375632,
        0.0362274,
        0.0361685,
        0.0360615,
        0.0360435,
        0.0362004,
        0.0360657,
        0.0354673,
        0.0354443,
        0.0350222,
        0.0346645,
        0.0348073,
        0.035516,
        0.0382021,
        0.0375846,
        0.0350339,
        0.03553,
        0.0375821,
        0.0372281,
        0.0345781,
        0.0345966,
        0.0346266,
        0.0347827,
        0.0348382,
        0.0347424,
        0.0344196,
        0.0345723,
        0.0345199,
        0.0345738,
        0.0346259,
        0.0348384,
        0.0348348,
        0.0346232,
        0.0345957,
        0.0348442,
        0.0351278,
        0.0351904,
        0.035551,
        0.0357067,
        0.0357455,
        0.0357929,
        0.0355267,
        0.0354924,
        0.0357841,
        0.035908,
        0.0357906,
        0.0356546,
        0.0356066,
        0.0357811,
        0.0360916,
        0.0360729,
        0.0358894,
        0.0362149,
        0.0366185,
        0.0363518,
        0.0365437,
        0.0405995,
        0.0402007,
        0.0376878,
        0.0355748,
        0.0352787,
        0.0353995,
        0.0353663,
        0.0354414,
        0.0356196,
        0.0354638,
        0.0355862,
        0.0353063,
        0.035039,
        0.0346244,
        0.0346501,
        0.0352375,
        0.0357587,
        0.035519,
        0.0348513,
        0.034478,
        0.0343883,
        0.0342312,
        0.0344273,
        0.0346818,
        0.0347505,
        0.0344362,
        0.0343156,
        0.0341829,
        0.0343018,
        0.0342197,
        0.0340674,
        0.0341633,
        0.0346275,
        0.0360922,
        0.0353229,
        0.0342248,
        0.0343346,
        0.0344619,
        0.0346616,
        0.0347727,
        0.0350676,
        0.0349664,
        0.0355588,
        0.0378052,
        0.0371237,
        0.035846,
        0.0358085,
        0.0360517,
        0.0366913,
        0.0369281,
        0.0377386,
        0.0377286,
        0.0379528,
        0.0376206,
        0.0377788,
        0.0402524,
        0.0413725,
        0.0392464,
        0.0393567,
        0.0395258,
        0.0394663,
        0.0396482,
        0.0403712,
        0.0405755,
        0.0420534,
        0.0434432,
        0.0443789,
        0.0456446,
        0.0472788,
        0.0498443,
        0.0535306,
        0.059081,
        0.0650514,
        0.0729226,
        0.0811825,
        0.0933461,
        0.107355,
        0.119583,
        0.129111,
        0.127298,
        0.120858,
        0.111011,
        0.101068,
        0.0930651,
        0.0939565,
        0.0819012,
        0.0660519,
        0.0598707,
        0.0549483,
        0.0511135,
        0.0478551,
        0.0454521,
        0.0435775,
        0.041834,
        0.0408997,
        0.0402244,
        0.0396976,
        0.039421,
        0.039279,
        0.0382015,
        0.0379874,
        0.0383158,
        0.03754,
        0.0369906,
        0.0366476,
        0.0369087,
        0.0363408,
        0.0359328,
        0.0357098,
        0.0353661,
        0.0356955,
        0.0360633,
        0.035851,
        0.0356552,
        0.0354792,
        0.0356073,
        0.0354171,
        0.0353405,
        0.0353931,
        0.037505,
        0.0377965,
        0.0362277,
        0.0359602,
        0.0360059,
        0.0359875,
        0.0359912,
        0.0367107,
        0.0393094,
        0.0381842,
        0.0364962,
        0.0365008,
        0.036181,
        0.036555,
        0.0365594,
        0.0363708,
        0.0366288,
        0.0367759,
        0.0369701,
        0.0369684,
        0.0362724,
        0.0362922,
        0.036193,
        0.03699,
        0.0372405,
        0.0366353,
        0.0363635,
        0.0361923,
        0.0361615,
        0.035893,
        0.0364023,
        0.0369069,
        0.0371018,
        0.0374333,
        0.0361162,
        0.0357344,
        0.0358959,
        0.0359566,
        0.0358738,
        0.0352173,
        0.0350816,
        0.0353127,
        0.0354788,
        0.0354154,
        0.0356205,
        0.0360749,
        0.0362754,
        0.0363141,
        0.0364393,
        0.0369175,
        0.0367004,
        0.0363473,
        0.0368936,
        0.0407564,
        0.0429297,
        0.0381608,
        0.0379562,
        0.0375915,
        0.0372101,
        0.0368056,
        0.0367061,
        0.0370473,
        0.0401847,
        0.0397663,
        0.0367147,
        0.0368243,
        0.0368544,
        0.0369346,
        0.03961,
        0.041809,
        0.0395203,
        0.0370542,
        0.0367894,
        0.0368164,
        0.037024,
        0.0373729,
        0.0377757,
        0.0410863,
        0.0410529,
        0.0386458,
        0.0386236,
        0.0386806,
        0.0395911,
        0.0401791,
        0.0391351,
        0.0386646,
        0.0385866,
        0.0385927,
        0.0386423,
        0.0386262,
        0.038577,
        0.0386106,
        0.0382074,
        0.0382924,
        0.0381326,
        0.0385035,
        0.0387057,
        0.0397989,
        0.0391884,
        0.0394357,
        0.0389833,
        0.0375826,
        0.037612,
        0.0381544,
        0.0381534,
        0.0377798,
        0.0375822,
        0.0373887,
        0.0371256,
        0.0372736,
        0.0372247,
        0.0375289,
        0.0373882,
        0.0377006,
        0.03754,
        0.0374134,
        0.0371743,
        0.0370521,
        0.0373637,
        0.0380258,
        0.0376146,
        0.0371218,
        0.0372184,
        0.0379663,
        0.0378647,
        0.037667,
        0.0379262,
        0.0379525,
        0.0376061,
        0.0376884,
        0.0377137,
        0.0380883,
        0.0379457,
        0.0381593,
        0.0382006,
        0.038426,
        0.0386521,
        0.0393224,
        0.0395164,
        0.0399844,
        0.0403148,
        0.0406617,
        0.040881,
        0.0415274,
        0.0417295,
        0.0417825,
        0.0420336,
        0.0427507,
        0.0439158,
        0.0438193,
        0.0429696,
        0.0429686,
        0.0430184,
        0.0429355,
        0.0428758,
        0.0425645,
        0.0424527,
        0.041998,
        0.0417097,
        0.0422642,
        0.0425985,
        0.0424082,
        0.0426283,
        0.0427291,
        0.0431339,
        0.0434925,
        0.0439833,
        0.04399,
        0.0437638,
        0.0437052,
        0.0427063,
        0.0420999,
        0.0412591,
        0.0418824,
        0.0464723,
        0.0434163,
        0.0409354,
        0.0403958,
        0.0402739,
        0.0404429,
        0.0406537,
        0.0403979,
        0.0399932,
        0.0395848,
        0.0393989,
        0.0394136,
        0.0396683,
        0.0397948,
        0.0402919,
        0.0402711,
        0.0394976,
        0.0399324,
        0.0400956,
        0.0402148,
        0.0402162,
        null,
        0.0331285,
        0.0330586,
        0.0330368,
        0.0331941,
        0.0335679,
        0.0336912,
        0.0334903,
        0.0335729,
        0.0336874,
        0.0337877,
        0.0337826,
        0.0341482,
        0.0342981,
        0.034483,
        0.0348421,
        0.0351454,
        0.0358161,
        0.0366699,
        0.0378299,
        0.0390844,
        0.0401481,
        0.040624,
        0.0405804,
        0.0399182,
        0.039567,
        0.0391645,
        0.038591,
        0.0385452,
        0.0391591,
        0.0404142,
        0.0426444,
        0.0452947,
        0.0471099,
        0.0488839,
        0.0500859,
        0.0493754,
        0.0467895,
        0.0440728,
        0.0417364,
        0.0398381,
        0.0383905,
        0.0374942,
        0.0367365,
        0.0364305,
        0.0361477,
        0.0356693,
        0.0352511,
        0.0351256,
        0.034816,
        0.0346162,
        0.034436,
        0.0343368,
        0.0344259,
        0.0345228,
        0.0344329,
        0.0342056,
        0.0339424,
        0.0338468,
        0.0339603,
        0.0339034,
        0.0336664,
        0.0333046,
        0.0333137,
        0.0335845,
        0.0335968,
        0.0336601,
        0.0343166,
        0.0342707,
        0.0338417,
        0.0340128,
        0.034018,
        0.0341816,
        0.0342197,
        0.0343884,
        0.034653,
        0.0347615,
        0.0347269,
        0.0348936,
        0.0354332,
        0.0353653,
        0.0355437,
        0.0357583,
        0.0359189,
        0.0376072,
        0.0373087,
        0.0362042,
        0.0362189,
        0.0360835,
        0.0360898,
        0.036273,
        0.0363683,
        0.0363719,
        0.0368402,
        0.0369252,
        0.0367174,
        0.0369692,
        0.0368762,
        0.036808,
        0.0368294,
        0.0368547,
        0.0369791,
        0.0366909,
        0.0367404,
        0.0370793,
        0.0372831,
        0.0371546,
        0.0369448,
        0.0368948,
        0.0367356,
        0.0366009,
        0.0367212,
        0.036905,
        0.0373825,
        0.0374394,
        0.0371493,
        0.0370864,
        0.0372373,
        0.0373421,
        0.0374087,
        0.0375408,
        0.0377816,
        0.0379989,
        0.038248,
        0.0388017,
        0.0395504,
        0.0403927,
        0.0411285,
        0.0418111,
        0.0423703,
        0.0433185,
        0.0450905,
        0.0470514,
        0.0489291,
        0.0509829,
        0.0539844,
        0.0581001,
        0.0624534,
        0.0674818,
        0.0728553,
        0.0787369,
        0.0828283,
        0.0828168,
        0.0808201,
        0.0771387,
        0.0712742,
        0.0661902,
        0.0623387,
        0.0623112,
        0.0679814,
        0.0611337,
        0.0514143,
        0.0499973,
        0.0490845,
        0.0478411,
        0.0474296,
        0.0470711,
        0.0465466,
        0.0460887,
        0.0460832,
        0.0460221,
        0.0454514,
        0.0452189,
        0.0450858,
        0.0454195,
        0.0451957,
        0.0450839,
        0.0454145,
        0.045418,
        0.0453656,
        0.0457591,
        0.0458522,
        0.0460834,
        0.0464305,
        0.0465257,
        0.046585,
        0.0469774,
        0.0473687,
        0.0477181,
        0.0478689,
        0.0486503,
        0.0494048,
        0.0502755,
        0.0514061,
        0.0521218,
        0.0533773,
        0.0536037,
        0.0536167,
        0.0538938,
        0.0552068,
        0.05692,
        0.0573127,
        0.0577712,
        0.0585917,
        0.0591182,
        0.0597639,
        0.0606594,
        0.0623503,
        0.0643342,
        0.0654097,
        0.0667183,
        0.0676687,
        0.0693925,
        0.0718512,
        0.0731924,
        0.075271,
        0.078014,
        0.080378,
        0.0830157,
        0.0854407,
        0.0877588,
        0.0897671,
        0.0932982,
        0.0973864,
        0.101737,
        0.105403,
        0.111128,
        0.114845,
        0.121786,
        0.130129,
        0.135049,
        0.142032,
        0.149055,
        0.157186,
        0.169462,
        0.182347,
        0.19623,
        0.211947,
        0.228333,
        0.255333,
        0.244228,
        0.218972,
        0.200698,
        0.187965,
        0.169674,
        0.153885,
        0.143249,
        0.135218,
        0.12568,
        0.119474,
        0.115021,
        0.110125,
        0.104984,
        0.0991885,
        0.0961436,
        0.0921295,
        0.0897351,
        0.0878251,
        0.0850961,
        0.0814515,
        0.0785756,
        0.0848721,
        0.0822795,
        0.0738254,
        0.0708882,
        0.0687726,
        0.0673656,
        0.0654321,
        0.064544,
        0.069746,
        0.0696835,
        0.0617948,
        0.0603334,
        0.0595438,
        0.0584039,
        0.0569997,
        0.0559336,
        0.0552052,
        0.0545763,
        0.0542936,
        0.0538452,
        0.0533238,
        0.0578175,
        0.0544509,
        0.0503705,
        0.0500684,
        0.0503,
        0.0498067,
        0.0489558,
        0.0480767,
        0.0478516,
        0.0473418,
        0.0467106,
        0.0464462,
        0.0470268,
        0.0466395,
        0.0449442,
        0.0440214,
        0.0438801,
        0.043461,
        0.0430463,
        0.042811,
        0.0470973,
        0.0455198,
        0.042343,
        0.0410674,
        0.0406536,
        0.0405562,
        0.0401947,
        0.0395595,
        0.0390359,
        0.0385352,
        0.0380626,
        0.0380017,
        0.0377754,
        0.0376462,
        0.0374496,
        0.0368686,
        0.0369681,
        0.0368425,
        0.036632,
        0.0373722,
        0.0367996,
        0.0365817,
        0.0364882,
        0.0362632,
        0.0364126,
        0.0365957,
        0.0362025,
        0.0361039,
        0.0360746,
        0.0359593,
        0.0360362,
        0.0358035,
        0.0356335,
        0.0372188,
        0.0372624,
        0.0356631,
        0.0356376,
        0.0356004,
        0.0355221,
        0.0355482,
        0.0356706,
        0.0353775,
        0.0355972,
        0.0354764,
        0.0355619,
        0.0353818,
        0.0352534,
        0.0353839,
        0.0353967,
        0.0350322,
        0.0350564,
        0.0348129,
        0.0347867,
        0.0346717,
        0.0344214,
        0.0348909,
        0.0345898,
        0.0341393,
        0.0339783,
        0.0338991,
        0.0339543,
        0.0336626,
        0.0333986,
        0.0333607,
        0.0334048,
        0.0329554,
        0.0327948,
        0.0328788,
        0.0330126,
        0.0326814,
        0.0325645,
        0.032418,
        0.0331863,
        0.0333788,
        0.0324082,
        0.0325569,
        0.0322641,
        0.0322486,
        0.0324387,
        0.0325219,
        0.0330572,
        0.0331954,
        0.0380184,
        0.0374358,
        0.0319308,
        0.0320275,
        0.0321806,
        0.0323466,
        0.0324208,
        0.0324998,
        0.0328167,
        0.0327742,
        0.0325834,
        0.0324811,
        0.0324168,
        0.0327575,
        0.0328202,
        0.0328406,
        0.0334409,
        0.0328561,
        0.0326598,
        0.0325786,
        0.0326596,
        0.0328491,
        0.0330951,
        0.0334131,
        0.0362617,
        0.0356234,
        0.033073,
        0.0328817,
        0.0325076,
        0.0324861,
        0.0325509,
        0.0325831,
        0.032297,
        0.0322228,
        0.0321506,
        0.0320626,
        0.0322655,
        0.0324634,
        0.0322029,
        0.0316409,
        0.0314861,
        0.0312964,
        0.0313907,
        0.03158,
        0.0315208,
        0.0312943,
        0.0311806,
        0.0310444,
        0.0309573,
        0.0308534,
        0.0306104,
        0.0306134,
        0.0306941,
        0.0305056,
        0.0306399,
        0.030526,
        0.0305712,
        0.0302901,
        0.0303559,
        0.0304509,
        0.0305733,
        0.0305856,
        0.0305974,
        0.0311285,
        0.0310029,
        0.0311019,
        0.0317443,
        0.032314,
        0.0327838,
        0.0327432,
        0.0325088,
        0.0321336,
        0.0318889,
        0.0318108,
        0.0334278,
        0.0339274,
        0.0312059,
        0.0311454,
        0.0313095,
        0.0313186,
        0.0320963,
        0.0336867,
        0.0328938,
        0.0312397,
        0.0312982,
        0.0314941,
        0.0317782,
        0.031575,
        0.0316237,
        0.0315954,
        0.0313789,
        0.031166,
        0.0313697,
        0.0314292,
        0.0316309,
        0.0320865,
        0.03208,
        0.03204,
        0.0321934,
        0.0324256,
        0.0326263,
        0.0327974,
        0.0332065,
        0.033574,
        0.0334914,
        0.0330269,
        0.0331351,
        0.0322446,
        0.0318127,
        0.0312102,
        0.0309673,
        0.0307615,
        0.0307348,
        0.0304294,
        0.0304823,
        0.030095,
        0.0299133,
        0.0298645,
        0.0300691,
        0.0299153,
        0.0300374,
        0.0299987,
        0.0302058,
        0.0300064,
        0.0298685,
        0.0298053,
        0.0301738,
        0.0301041,
        0.0300056,
        0.0300901,
        0.03016,
        0.0300204,
        0.0302021,
        0.0309241,
        0.0312061,
        0.0317904,
        0.031701,
        0.0317124,
        0.0317264,
        0.0314939,
        0.0316534,
        0.0316797,
        0.0319023,
        0.032153,
        0.032586,
        0.0324556,
        0.0323841,
        0.0324468,
        0.0328802,
        0.0330566,
        0.0339944,
        0.0339186,
        0.0329441,
        0.0327721,
        0.0323518,
        0.0323708,
        0.0324512,
        0.0327208,
        0.0326446,
        0.0326202,
        0.0328491,
        0.0328436,
        0.033048,
        0.0328248,
        0.033063,
        0.0330836,
        0.0332001,
        0.0334991,
        0.0337859,
        0.0337316,
        0.0339948,
        0.034106,
        0.0332847,
        0.0331838,
        0.0332657,
        0.0328936,
        0.0326532,
        0.0325376,
        0.0325692,
        0.03599,
        0.0356399,
        0.0319582,
        0.0319697,
        0.0319918,
        0.0317354,
        0.0319242,
        0.0320498,
        0.0318254,
        0.0319538,
        0.0317981,
        0.0319322,
        0.0320225,
        0.0322055,
        0.0320386,
        0.0321156,
        0.0320451,
        0.0330877,
        0.0337577,
        0.0326902,
        0.0331098,
        0.0333056,
        0.0333152,
        0.0338127,
        0.0336868,
        0.0335471,
        0.0336299,
        0.0340488,
        0.0340072,
        0.0342117,
        0.0344318,
        0.0350308,
        0.0352285,
        0.0356963,
        0.0358592,
        0.0361777,
        0.0365989,
        0.0366899,
        0.036565,
        0.0367933,
        0.0371854,
        0.036689,
        0.0358964,
        0.0356173,
        0.0354719,
        0.0354462,
        0.0355248,
        0.0349229,
        0.0343791,
        0.0346049,
        0.0345267,
        0.0341705,
        0.0339487,
        0.033816,
        0.0336107,
        0.0338998,
        0.0341455,
        0.036612,
        0.0357087,
        0.0339989,
        0.0338615,
        0.0338072,
        0.0340991,
        0.0359801,
        0.0361292,
        0.0339977,
        0.0338925,
        0.0341869,
        0.0340776,
        0.0348048,
        0.035167,
        0.0351948,
        0.0353266,
        0.0387207,
        0.0383828,
        0.0359301,
        0.0363716,
        0.0362579,
        0.0360451,
        0.0361217,
        0.0359291,
        0.035631,
        0.0356072,
        0.0354104,
        0.0356278,
        0.0354152,
        0.0353787,
        0.0357106,
        0.0402233,
        0.0405452,
        0.0358192,
        0.0361006,
        0.0364873,
        0.0365262,
        0.0363935,
        0.0365775,
        0.0366875,
        0.0368516,
        0.037018,
        0.0369809,
        0.0369295,
        0.0373781,
        0.037561,
        0.0378032,
        0.0376539,
        0.037702,
        0.0377807,
        0.0379584,
        0.0378587,
        0.0376865,
        0.0384004,
        0.0382982,
        0.0375248,
        0.0375651,
        0.0373425,
        0.0375923,
        0.0376071,
        0.0378256,
        0.0380162,
        0.0384401,
        0.0386266,
        0.0402885,
        0.0394033,
        0.0390914,
        0.0388831,
        0.0388217,
        0.038863,
        0.0386444,
        0.0384725,
        0.0385887,
        0.0383884,
        0.0382257,
        0.0383285,
        0.0386104,
        0.0383221,
        0.0383804,
        0.0386961,
        0.0391307,
        0.0393173,
        0.0391957,
        0.0391505,
        0.0391685,
        0.0392117,
        0.0398205,
        0.0421787,
        0.0416525,
        0.0400596,
        0.0404075,
        0.0409418,
        0.0412413,
        0.0416297,
        0.0419894,
        0.0416201,
        0.0420327,
        0.0425519,
        0.0428434,
        0.042748,
        0.0431408,
        0.0434532,
        0.0434864,
        0.0440424,
        0.0461362,
        0.045018,
        0.0445739,
        0.0453015,
        0.0449826,
        0.0443117,
        0.0442879,
        0.0441511,
        0.0448443,
        0.0449863,
        0.0445051,
        0.0447171,
        0.0446737,
        0.0453381,
        0.0462713,
        0.0452044,
        0.045145,
        0.0456453,
        0.0459443,
        0.0455235,
        0.0461989,
        0.0461365,
        0.0463157,
        0.0462976,
        0.0461178,
        0.0460848,
        0.0463027,
        0.0462421,
        0.0461691,
        0.0464057,
        0.0466172,
        0.046598,
        0.0469451,
        0.0470301,
        0.0472619,
        0.0473542,
        0.0482824,
        0.0479522,
        0.048156,
        0.0483181,
        0.0504732,
        0.0526141,
        0.0498124,
        0.0499932,
        0.0497484,
        0.0497631,
        0.0505256,
        0.0513349,
        0.0519949,
        0.0526128,
        0.0535514,
        0.0548894,
        0.054013,
        0.0546957,
        0.054586,
        0.0542664,
        0.0550199,
        0.0557853,
        0.0550516,
        0.0559705,
        0.0566602,
        0.0569017,
        0.0580922,
        0.0591238,
        0.059696,
        0.0595602,
        0.0603999,
        0.0611722,
        0.0616601,
        0.0617213,
        0.0627557,
        0.0641257,
        0.0650404,
        0.0655588,
        0.0664274,
        0.0655079,
        0.0664173,
        0.0687484,
        0.069024,
        0.0675267,
        0.067444,
        0.0677954,
        0.0686269,
        0.0694494,
        0.070641,
        0.0708225,
        0.0722703,
        0.0734136,
        0.0741776,
        0.0752112,
        0.0777936,
        0.0785251,
        0.0787562,
        0.0787675,
        0.0792131,
        0.0816528,
        0.0849312,
        0.0938248,
        0.0933953,
        0.0850785,
        0.0873545,
        0.0892,
        0.0916228,
        0.0951334,
        0.0962324,
        0.0995543,
        0.10726,
        0.110307,
        0.108517,
        0.109819,
        0.110794,
        0.114819,
        0.11968,
        0.12466,
        0.128046,
        0.133392,
        0.137926,
        0.145175,
        0.155038,
        0.162895,
        0.170898,
        0.181643,
        0.194719,
        0.202168,
        0.216086,
        0.234141,
        0.252762,
        0.273554,
        null,
        0.229487,
        0.215794,
        0.203335,
        0.202145,
        0.207725,
        0.202314,
        0.194085,
        0.187065,
        0.184092,
        0.181138,
        0.172509,
        0.165933,
        0.162867,
        0.158252,
        0.15593,
        0.154272,
        0.154636,
        0.155848,
        0.153819,
        0.146933,
        0.144015,
        0.155915,
        0.153677,
        0.141942,
        0.13803,
        0.133286,
        0.131803,
        0.132068,
        0.130765,
        0.12597,
        0.124653,
        0.124176,
        0.121284,
        0.118739,
        0.119848,
        0.119107,
        0.118286,
        0.117502,
        0.116598,
        0.117685,
        0.115582,
        0.111379,
        0.112448,
        0.112971,
        0.10793,
        0.10872,
        0.107054,
        0.102063,
        0.102291,
        0.103687,
        0.104507,
        0.102333,
        0.0997508,
        0.0988182,
        0.097137,
        0.0942656,
        0.0930915,
        0.0932482,
        0.0929279,
        0.092418,
        0.0918842,
        0.0902626,
        0.100139,
        0.099364,
        0.088469,
        0.0874432,
        0.0863314,
        0.0866214,
        0.0867279,
        0.0850394,
        0.0828233,
        0.0819334,
        0.0819933,
        0.0810665,
        0.080193,
        0.0791219,
        0.0794753,
        0.0799506,
        0.0789209,
        0.0778782,
        0.0773244,
        0.0777975,
        0.0773244,
        0.0772643,
        0.0768519,
        0.0763246,
        0.0762074,
        0.0764904,
        0.0765711,
        0.0761583,
        0.076905,
        0.0762714,
        0.0767442,
        0.0758089,
        0.0750619,
        0.0740362,
        0.074219,
        0.0741364,
        0.0745917,
        0.0749967,
        0.0841326,
        0.0839229,
        0.0746434,
        0.0739108,
        0.0740694,
        0.0728824,
        0.073131,
        0.0738073,
        0.0739823,
        0.0736863,
        0.0737456,
        0.073267,
        0.0743161,
        0.073675,
        0.0724258,
        0.0727452,
        0.0733256,
        0.0726497,
        0.0711463,
        0.0706151,
        0.0710227,
        0.0719214,
        0.0718203,
        0.0712768,
        0.0723388,
        0.072346,
        0.0725718,
        0.0735622,
        0.0720062,
        0.0697074,
        0.0690635,
        0.0685927,
        0.0693605,
        0.0692223,
        0.0697225,
        0.0695087,
        0.069577,
        0.0707753,
        0.0824513,
        0.0811973,
        0.0708402,
        0.0710883,
        0.0715532,
        0.0723004,
        0.0730949,
        0.0748102,
        0.0765204,
        0.0768486,
        0.0793534,
        0.0794341,
        0.0770761,
        0.0761621,
        0.0753582,
        0.081909,
        0.080063,
        0.0723339,
        0.0715341,
        0.0702239,
        0.0695244,
        0.0701058,
        0.0703269,
        0.0704253,
        0.0703156,
        0.0697126,
        0.0693178,
        0.0704447,
        0.0711353,
        0.0698908,
        0.0731624,
        0.0732827,
        0.0705724,
        0.0711744,
        0.0707891,
        0.0703307,
        0.0710408,
        0.0714796,
        0.0783514,
        0.0772209,
        0.0705427,
        0.0712581,
        0.0761022,
        0.0772192,
        0.072083,
        0.0720626,
        0.0723172,
        0.0729743,
        0.0735101,
        0.0801108,
        0.0803625,
        0.0743108,
        0.0729916,
        0.0737881,
        0.0749465,
        0.0741738,
        0.0736141,
        0.0719694,
        0.0725123,
        0.075099,
        0.0769053,
        0.0747731,
        0.0767116,
        0.0839126,
        0.0828842,
        0.0744646,
        0.0744293,
        0.0745978,
        0.0751551,
        0.0747568,
        0.0744918,
        0.0748191,
        0.0760661,
        0.0767716,
        0.0784975,
        0.0783163,
        0.0790179,
        0.0820485,
        0.082095,
        0.0797474,
        0.0808543,
        0.0802403,
        0.0805506,
        0.0820258,
        0.0833559,
        0.0835311,
        0.0826457,
        0.0830346,
        0.0851381,
        0.0857705,
        0.0875567,
        0.0898839,
        0.0909269,
        0.0914089,
        0.0917905,
        0.0923172,
        0.0941126,
        0.0939097,
        0.0946652,
        0.0964211,
        0.100039,
        0.102357,
        0.105058,
        0.104858,
        0.109495,
        0.110922,
        0.109733,
        0.123933,
        0.121884,
        0.113813,
        0.115936,
        0.115621,
        0.117455,
        0.119806,
        0.123154,
        0.123617,
        0.123141,
        0.125675,
        0.12738,
        0.12871,
        0.130021,
        0.134817,
        0.137913,
        0.142289,
        0.146689,
        0.146124,
        0.149777,
        0.154072,
        0.175075,
        0.182785,
        0.165584,
        0.168718,
        0.172992,
        0.181497,
        0.189118,
        0.190178,
        0.193279,
        0.197289,
        0.202999,
        0.212424,
        0.231535,
        0.247764,
        0.25046,
        0.250805,
        0.261274,
        0.280017,
        null,
        0.225037,
        0.219469,
        0.214494,
        0.208881,
        0.197789,
        0.188605,
        0.183293,
        0.1831,
        0.180214,
        0.176193,
        0.167958,
        0.162454,
        0.163226,
        0.181458,
        0.173083,
        0.147424,
        0.145692,
        0.145572,
        0.143651,
        0.142124,
        0.136902,
        0.134335,
        0.132983,
        0.13015,
        0.135399,
        0.146403,
        0.135964,
        0.12135,
        0.120817,
        0.130092,
        0.125273,
        0.116517,
        0.115046,
        0.11385,
        0.115937,
        0.113956,
        0.109086,
        0.108322,
        0.109151,
        0.112715,
        0.110723,
        0.106014,
        0.107652,
        0.107791,
        0.104273,
        0.105935,
        0.10526,
        0.103801,
        0.104867,
        0.106109,
        0.106432,
        0.107215,
        0.110137,
        0.112855,
        0.112657,
        0.114084,
        0.116687,
        0.120742,
        0.125485,
        0.134327,
        0.142565,
        0.158533,
        0.17251,
        0.180057,
        0.194881,
        0.216632,
        0.269348,
        0.210118,
        0.187852,
        0.166576,
        0.152169,
        0.137244,
        0.12637,
        0.119524,
        0.113686,
        0.109178,
        0.103924,
        0.106817,
        0.101175,
        0.0920909,
        0.0903238,
        0.087737,
        0.0879765,
        0.0875938,
        0.0863629,
        0.0874097,
        0.0860807,
        0.084365,
        0.0845078,
        0.0841097,
        0.0829951,
        0.0812046,
        0.0787096,
        0.0766014,
        0.0777493,
        0.0757672,
        0.0724123,
        0.0717509,
        0.0700246,
        0.06954,
        0.0695282,
        0.0680687,
        0.0679228,
        0.0737184,
        0.0708554,
        0.0651468,
        0.0643995,
        0.064716,
        0.0643899,
        0.0639993,
        0.0647229,
        0.0721505,
        0.0711606,
        0.0631434,
        0.0629789,
        0.0619278,
        0.0611598,
        0.0613697,
        0.0619169,
        0.061942,
        0.0612352,
        0.0610212,
        0.0611649,
        0.0604055,
        0.0603392,
        0.0604336,
        0.0592036,
        0.0577987,
        0.0569377,
        0.0564264,
        0.0562098,
        0.0589877,
        0.0590504,
        0.0559246,
        0.055237,
        0.0543088,
        0.0540182,
        0.0533821,
        0.0533921,
        0.0534138,
        0.0535044,
        0.0532433,
        0.0529542,
        0.0532065,
        0.053388,
        0.0530748,
        0.0533912,
        0.053813,
        0.0541305,
        0.0548486,
        0.05626,
        0.0571614,
        0.059049,
        0.0593205,
        0.0617993,
        0.0620428,
        0.0576027,
        0.0567796,
        0.0550777,
        0.0541674,
        0.0533852,
        0.0539392,
        0.0539489,
        0.0545692,
        0.0531046,
        0.0524119,
        0.0522304,
        0.0525587,
        0.0530304,
        0.0528941,
        0.0531767,
        0.0536501,
        0.0539945,
        0.0555848,
        0.0549605,
        0.0544109,
        0.0539174,
        0.0534666,
        0.0543278,
        0.0544009,
        0.0541944,
        0.0526769,
        0.0524166,
        0.0524352,
        0.0522991,
        0.0523053,
        0.0518254,
        0.050552,
        0.0501142,
        0.0508153,
        0.0513382,
        0.0505555,
        0.0504533,
        0.050359,
        0.0497877,
        0.049114,
        0.0490997,
        0.0495262,
        0.0498162,
        0.049987,
        0.0488689,
        0.0536478,
        0.0533453,
        0.0477166,
        0.0475422,
        0.0482016,
        0.0482497,
        0.0473584,
        0.0473234,
        0.0473468,
        0.0480278,
        0.0480966,
        0.0483099,
        0.0479741,
        0.0474671,
        0.0474376,
        0.047704,
        0.047475,
        0.0476687,
        0.047627,
        0.0479618,
        0.0486524,
        0.0489127,
        0.0487406,
        0.0487332,
        0.0493189,
        0.0499166,
        0.0505553,
        0.0516178,
        0.0555095,
        0.0559824,
        0.0549064,
        0.0564994,
        0.0595199,
        0.0634481,
        0.0676977,
        0.0745204,
        0.0835029,
        0.0903358,
        0.0962456,
        0.108715,
        0.0983497,
        0.087704,
        0.0791283,
        0.0725336,
        0.0672753,
        0.0630504,
        0.0597659,
        0.0564188,
        0.055104,
        0.0537143,
        0.0530764,
        0.0522974,
        0.0513575,
        0.0507523,
        0.0503486,
        0.0496859,
        0.0504929,
        0.058388,
        0.057156,
        0.0489706,
        0.0486591,
        0.0478558,
        0.0478473,
        0.0474108,
        0.0479038,
        0.0528596,
        0.0496875,
        0.0475253,
        0.0468189,
        0.0472159,
        0.047117,
        0.0465701,
        0.0468022,
        0.0472008,
        0.0467024,
        0.0462525,
        0.0462217,
        0.0458784,
        0.0457713,
        0.0464221,
        0.0489544,
        0.0504217,
        0.0454766,
        0.0456201,
        0.0456646,
        0.0456716,
        0.0461009,
        0.0462904,
        0.0500633,
        0.0505963,
        0.0464723,
        0.0458237,
        0.045832,
        0.0456199,
        0.0459639,
        0.0458078,
        0.0456182,
        0.0457485,
        0.0463798,
        0.0463787,
        0.0464502,
        0.0467724,
        0.0468167,
        0.0473311,
        0.0473359,
        0.0480728,
        0.0488768,
        0.0487919,
        0.0482977,
        0.048803,
        0.0485852,
        0.0483674,
        0.0482235,
        0.0520614,
        0.0512788,
        0.0480567,
        0.0477194,
        0.0478591,
        0.0477894,
        0.0476522,
        0.0480707,
        0.0479351,
        0.0480804,
        0.0479698,
        0.0482055,
        0.0476082,
        0.0471866,
        0.0467947,
        0.0467591,
        0.0467567,
        0.0471995,
        0.0470541,
        0.0468025,
        0.0463783,
        0.0464692,
        0.0534844,
        0.05317,
        0.0462862,
        0.0462305,
        0.0462704,
        0.0460215,
        0.0458213,
        0.0456575,
        0.0455544,
        0.045259,
        0.0453596,
        0.0449156,
        0.0448938,
        0.0451551,
        0.0450719,
        0.0449004,
        0.0447901,
        0.0448949,
        0.045071,
        0.0449814,
        0.0452114,
        0.0453917,
        0.0451578,
        0.0453784,
        0.0456267,
        0.0455064,
        0.0454973,
        0.0454709,
        0.0457336,
        0.0464513,
        0.0461193,
        0.0465212,
        0.0474199,
        0.0478582,
        0.0484408,
        0.048212,
        0.0479948,
        0.0481553,
        0.0483694,
        0.0481535,
        0.04834,
        0.0482554,
        0.0479919,
        0.0480759,
        0.0480728,
        0.0486415,
        0.0491142,
        0.0487668,
        0.0486273,
        0.0486512,
        0.0485594,
        0.0490134,
        0.0494018,
        0.0492536,
        0.0496549,
        0.050534,
        0.0506318,
        0.0499678,
        0.0498724,
        0.0499359,
        0.0500031,
        0.0503791,
        0.0506227,
        0.0505747,
        0.0504912,
        0.0511074,
        0.0511055,
        0.0509421,
        0.0506828,
        0.0507327,
        0.0509503,
        0.0506982,
        0.0505149,
        0.0506867,
        0.0505827,
        0.0511576,
        0.0515766,
        0.0530588,
        0.0578629,
        0.0556693,
        0.0532669,
        0.0542965,
        0.0553417,
        0.0573213,
        0.0584382,
        null,
        0.0351002,
        0.0351554,
        0.0348123,
        0.0346677,
        0.0344875,
        0.0346563,
        0.0348096,
        0.0348968,
        0.0348992,
        0.0349705,
        0.0348764,
        0.0350382,
        0.0354742,
        0.0369443,
        0.0370161,
        0.0358849,
        0.0361222,
        0.0359985,
        0.0361345,
        0.0363067,
        0.0366336,
        0.0367497,
        0.0367487,
        0.0374708,
        0.0383413,
        0.0378655,
        0.0379954,
        0.0382036,
        0.0386274,
        0.0380574,
        0.0369379,
        0.0363547,
        0.0364672,
        0.0417106,
        0.0557983,
        0.0438757,
        0.0350055,
        0.0347551,
        0.0345291,
        0.0344037,
        0.034286,
        0.034232,
        0.0346177,
        0.0345828,
        0.0346573,
        0.0347428,
        0.0350062,
        0.0356127,
        0.036112,
        0.0368035,
        0.0377571,
        0.0392984,
        0.0416627,
        0.0449404,
        0.04946,
        0.0539377,
        0.0582824,
        0.0625019,
        0.0634822,
        0.0602926,
        0.0544631,
        0.0494815,
        0.045702,
        0.0429202,
        0.041245,
        0.0398838,
        0.0387722,
        0.0381047,
        0.0374813,
        0.0367724,
        0.0363926,
        0.0362619,
        0.0360386,
        0.0358538,
        0.0355917,
        0.0367097,
        0.0365474,
        0.0353122,
        0.0357157,
        0.036348,
        0.0362068,
        0.0354208,
        0.0355206,
        0.0354597,
        0.0365739,
        0.0357752,
        0.0356979,
        0.0359235,
        0.0359105,
        0.0356935,
        0.0356646,
        0.0361184,
        0.0363877,
        0.0363513,
        0.036356,
        0.0363869,
        0.036218,
        0.0360389,
        0.0360137,
        0.0359446,
        0.0360142,
        0.0362555,
        0.0364642,
        0.0368751,
        0.0370524,
        0.0375519,
        0.0383852,
        0.0388757,
        0.0392783,
        0.0401902,
        0.0415083,
        0.0434728,
        0.045903,
        0.0485426,
        0.052473,
        0.0582306,
        0.0660332,
        0.0769065,
        0.0940563,
        0.121037,
        0.167881,
        0.245228,
        0.197298,
        0.139908,
        0.10458,
        0.0845251,
        0.0711403,
        0.062239,
        0.0556661,
        0.0515299,
        0.0478158,
        0.0452558,
        0.0431561,
        0.0415378,
        0.0403169,
        0.0391328,
        0.0383947,
        0.0377101,
        0.0381283,
        0.0375384,
        0.0371922,
        0.0360039,
        0.0348941,
        0.034437,
        0.034197,
        0.0336737,
        0.0335279,
        0.0337113,
        0.0331458,
        0.0329892,
        0.0326364,
        0.0325435,
        0.0323074,
        0.0320996,
        0.0321084,
        0.0320453,
        0.0318354,
        0.0317096,
        0.0315245,
        0.0315589,
        0.0313071,
        0.0311341,
        0.0311036,
        0.0312526,
        0.0315228,
        0.0317669,
        0.0305965,
        0.0305389,
        0.0305252,
        0.0307394,
        0.0306046,
        0.0305301,
        0.0306589,
        0.030735,
        0.0306384,
        0.0306668,
        0.0309536,
        0.0311538,
        0.0312579,
        0.0313475,
        0.031276,
        0.0312935,
        0.0312171,
        0.0313264,
        0.0313134,
        0.0312609,
        0.0313348,
        0.0311769,
        0.031311,
        0.0314401,
        0.0315259,
        0.0317398,
        0.0318246,
        0.0321601,
        0.0326336,
        0.032522,
        0.0319904,
        0.0318527,
        0.0320717,
        0.0320092,
        0.0319159,
        0.0320929,
        0.0315509,
        0.0312665,
        0.0311316,
        0.0308963,
        0.0307303,
        0.0308236,
        0.0307789,
        0.0307061,
        0.0306601,
        0.0304186,
        0.030205,
        0.0302112,
        0.0300904,
        0.0301656,
        0.030093,
        0.0300641,
        0.0300843,
        0.0301812,
        0.0299853,
        0.0295226,
        0.029307,
        0.0294668,
        0.0294621,
        0.029608,
        0.0297499,
        0.0295245,
        0.0292001,
        0.029086,
        0.0314704,
        0.031727,
        0.0295053,
        0.0294004,
        0.0292599,
        0.0292775,
        0.0296232,
        0.0292666,
        0.0291412,
        0.0291542,
        0.029583,
        0.0300165,
        0.030223,
        0.0300386,
        0.0300717,
        0.0302067,
        0.0302959,
        0.0304596,
        0.0303425,
        0.0303069,
        0.030386,
        0.0304365,
        0.0304982,
        0.0304367,
        0.0305083,
        0.0306434,
        0.0304181,
        0.0304133,
        0.030469,
        0.0305748,
        0.030523,
        0.0305057,
        0.0305578,
        0.0304769,
        0.0303828,
        0.0303617,
        0.0303962,
        0.0303232,
        0.0301873,
        0.0300906,
        0.0299785,
        0.0299043,
        0.0302275,
        0.0299712,
        0.0297595,
        0.0294981,
        0.0295366,
        0.0295186,
        0.029485,
        0.0293022,
        0.0291058,
        0.0291039,
        0.0291342,
        0.0291494,
        0.0292171,
        0.0293902,
        0.0291521,
        0.0290749,
        0.0290999,
        0.0294467,
        0.0292992,
        0.0291511,
        0.0296641,
        0.0293729,
        0.0290674,
        0.0290325,
        0.0294719,
        0.0322293,
        0.0319956,
        0.0293632,
        0.0294626,
        0.0295501,
        0.0296184,
        0.0302015,
        0.0320496,
        0.0329661,
        0.0317616,
        0.031876,
        0.0316386,
        0.0317052,
        0.0320619,
        0.0322606,
        0.0323165,
        0.0320503,
        0.032151,
        0.0318844,
        0.0315353,
        0.0314878,
        0.0312852,
        0.0311217,
        0.0307817,
        0.0307362,
        0.030814,
        0.0307927,
        0.0307351,
        0.0305902,
        0.0304503,
        0.0303725,
        0.0305449,
        0.0304348,
        0.0337481,
        0.0318574,
        0.0298424,
        0.0297404,
        0.0298627,
        0.0299743,
        0.0296184,
        0.0294715,
        0.0294844,
        0.029377,
        0.0294653,
        0.0292994,
        0.0293306,
        0.0294564,
        0.0315623,
        0.0318697,
        0.0291599,
        0.0292332,
        0.0289453,
        0.0290198,
        0.0292349,
        0.0291321,
        0.0288937,
        0.0290174,
        0.0290043,
        0.0292699,
        0.0291407,
        0.0291102,
        0.0292766,
        0.0294272,
        0.0294485,
        0.0292846,
        0.029237,
        0.0293542,
        0.0296107,
        0.0298215,
        0.0297166,
        0.0293563,
        0.0298484,
        0.0298386,
        0.0297838,
        0.0299159,
        0.0298286,
        0.0299969,
        0.0301402,
        0.0301189,
        0.0299243,
        0.0299339,
        0.0301282,
        0.0302972,
        0.0302003,
        0.0304112,
        0.0304952,
        0.0305415,
        0.0305334,
        0.0304942,
        0.0304545,
        0.0307145,
        0.0308474,
        0.0306718,
        0.0306207,
        0.0305874,
        0.030207,
        0.030226,
        0.0331326,
        0.0327591,
        0.0295448,
        0.0292747,
        0.0290446,
        0.0291081,
        0.0287122,
        0.0286469,
        0.0287622,
        0.0287328,
        0.0285344,
        0.0282338,
        0.0282537,
        0.028208,
        0.0280439,
        0.0281634,
        0.0281397,
        0.027994,
        0.0279789,
        0.0279963,
        0.0278571,
        0.0279641,
        0.0280394,
        0.0281365,
        0.0283832,
        0.0284461,
        0.0282643,
        0.0282748,
        0.028408,
        0.028528,
        0.0284513,
        0.0283671,
        0.0286992,
        0.0290895,
        0.028926,
        0.0289739,
        0.0289538,
        0.0293646,
        0.0296404,
        0.0300085,
        0.030118,
        0.0299637,
        0.0299396,
        0.0299136,
        0.0300825,
        0.03032,
        0.0300779,
        0.0301093,
        0.0315816,
        0.0320596,
        0.0300887,
        0.0300996,
        0.0300674,
        0.0302696,
        0.0303508,
        0.0303119,
        0.0301476,
        0.0304415,
        0.0305154,
        0.0338865,
        0.0320586,
        0.0305731,
        0.0307495,
        0.0307915,
        0.0306207,
        0.0305502,
        0.0306513,
        0.0311678,
        0.0311332,
        0.0323353,
        0.0316826,
        0.0316666,
        0.0315409,
        0.0317741,
        0.0321271,
        0.0329947,
        0.0364878,
        0.0374957,
        0.035096,
        0.036656,
        0.0383636,
        0.0404195,
        0.042891,
        0.0459381,
        0.0494016,
        0.0538072,
        0.0577317,
        0.0605816,
        0.0604528,
        0.0580031,
        0.0545346,
        0.0507744,
        0.0471176,
        0.0432041,
        0.0406077,
        0.0389774,
        0.0372588,
        0.0359771,
        0.0347792,
        0.0339891,
        0.0335135,
        0.0326269,
        0.032091,
        0.0320719,
        0.0316383,
        0.0313562,
        0.0311522,
        0.0311096,
        0.0309088,
        0.0310357,
        0.0307322,
        0.0308625,
        0.0305461,
        0.0303611,
        0.0303756,
        0.0304096,
        0.0303585,
        0.0303783,
        0.0300506,
        0.029954,
        0.0304046,
        0.0300652,
        0.0297133,
        0.0301683,
        0.0300678,
        0.0298974,
        0.0298072,
        0.0298142,
        0.0297599,
        0.0294302,
        0.0295056,
        0.0296863,
        0.0296045,
        0.0292152,
        0.0290982,
        0.0290715,
        0.0289602,
        0.0288719,
        0.0291207,
        0.0290808,
        0.0290967,
        0.0293345,
        0.029016,
        0.0290981,
        0.0288819,
        0.0289005,
        0.028782,
        0.0287428,
        0.0287927,
        0.0287296,
        0.0288568,
        0.0290084,
        0.0290965,
        0.0292483,
        0.029396,
        0.0293025,
        0.029366,
        0.0293696,
        0.0292766,
        0.0298788,
        0.0306336,
        0.0344843,
        0.0349594,
        0.0306879,
        0.0304695,
        0.0309716,
        0.037825,
        0.0376807,
        0.0319694,
        0.032164,
        0.0324278,
        0.0325677,
        0.032814,
        0.0330211,
        0.0329786,
        0.0331742,
        0.0332291,
        0.0333462,
        0.0336605,
        0.0340068,
        0.0342024,
        0.0341726,
        0.0341993,
        0.0343737,
        0.0343249,
        0.0345519,
        0.0348682,
        0.0376114,
        0.0376841,
        0.0353746,
        0.0353278,
        0.0351012,
        0.0351096,
        0.0351353,
        0.0348617,
        0.0351477,
        0.0352976,
        0.035539,
        0.0358103,
        0.0356999,
        0.0356777,
        0.0361302,
        0.0363843,
        0.0368261,
        0.0372614,
        0.0373985,
        0.0375513,
        0.0380586,
        0.0380934,
        0.0385856,
        0.0390772,
        0.0405259,
        0.0439981,
        0.0429569,
        0.0419363,
        0.0428015,
        0.0436458,
        0.0444466,
        0.0456244,
        0.0469505,
        0.0476928,
        0.0487767,
        0.0497828,
        0.0510507,
        0.0521677,
        0.0546547,
        0.0565163,
        0.0586004,
        0.0611658,
        0.064196,
        0.0667927,
        0.0702566,
        0.0756498,
        0.0804206,
        0.0829465,
        0.0891031,
        0.0971087,
        0.105003,
        0.114171,
        0.127328,
        0.142965,
        0.160624,
        0.188369,
        0.226786,
        0.274742,
        0.205246,
        0.175921,
        0.150214,
        0.130866,
        0.118745,
        0.107659,
        0.100271,
        0.0948043,
        0.0896213,
        0.0824011,
        0.0762929,
        0.0721526,
        0.0683321,
        0.0661741,
        0.0631132,
        0.0603969,
        0.0583647,
        0.0563812,
        0.0538635,
        0.0525252,
        0.0517293,
        0.0506966,
        0.0492785,
        0.0489983,
        0.0480995,
        0.0472123,
        0.0461835,
        0.0452629,
        0.0451144,
        0.0441461,
        0.043708,
        0.043065,
        0.0427447,
        0.0425529,
        0.0425718,
        0.0419239,
        0.0408567,
        0.0403963,
        0.0401625,
        0.0393179,
        0.038984,
        0.0385263,
        0.0383893,
        0.0377123,
        0.036799,
        0.036225,
        0.0360146,
        0.0358104,
        0.0355349,
        0.0356396,
        0.0357863,
        0.0347182,
        0.0341047,
        0.0340335,
        0.033694,
        0.0332796,
        0.0332711,
        0.0333334,
        0.03308,
        0.0326582,
        0.0324076,
        0.0324558,
        0.0324986,
        0.0324695,
        0.0321333,
        0.0318224,
        0.0314913,
        0.0319765,
        0.0317696,
        0.0325056,
        0.0320015,
        0.0320284,
        0.0319859,
        0.0323951,
        0.0323743,
        0.0325305,
        0.032573,
        0.0324661,
        0.0324718,
        0.0323963,
        0.0326511,
        0.0361477,
        0.0367312,
        0.0322241,
        0.0326407,
        0.0332532,
        0.0344951,
        0.0370529,
        0.0388463,
        0.0395592,
        0.0385723,
        0.0363771,
        0.0341385,
        0.032942,
        0.0323439,
        0.0318431,
        0.031598,
        0.031464,
        0.0313542,
        0.0312346,
        0.0311896,
        0.0312856,
        0.031239,
        0.0309649,
        0.0307192,
        0.0308519,
        0.0310551,
        0.0310672,
        0.0309133,
        0.0308169,
        0.0308489,
        0.0307132,
        0.030958,
        0.031153,
        0.0313529,
        0.0314198,
        0.0311821,
        0.0308022,
        0.0307487,
        0.0306077,
        0.0302414,
        0.0295535,
        0.0295271,
        0.0295392,
        0.0296611,
        0.0294496,
        0.0293247,
        0.0289595,
        0.0288778,
        0.0286742,
        0.0285659,
        0.0282935,
        0.0284487,
        0.0285763,
        0.0286611,
        0.029221,
        0.0308653,
        0.0305246,
        0.0288887,
        0.0284946,
        0.0286514,
        0.0285994,
        0.0286638,
        0.0286158,
        0.0289005,
        0.0291439,
        0.0293994,
        0.0291521,
        0.0291873,
        0.0291174,
        0.0292449,
        0.0293895,
        0.0296087,
        0.0297856,
        0.0295426,
        0.0298187,
        0.0296346,
        0.0294884,
        0.0296425,
        0.0296005,
        0.0296306,
        0.0297887,
        0.0298279,
        0.0298237,
        0.0298491,
        0.0301127,
        0.0303221,
        0.0300001,
        0.0298397,
        0.0296349,
        0.029572,
        0.0298447,
        0.0297702,
        0.0295601,
        0.0301229,
        0.0306434,
        0.0309644,
        0.0313934,
        0.0318435,
        0.0319114,
        0.0318062,
        0.0340458,
        0.0332813,
        0.0299476,
        0.0292815,
        0.0289065,
        0.0286966,
        0.0287819,
        0.0288394,
        0.0290148,
        0.03311,
        0.0332325,
        0.0291321,
        0.0288359,
        0.0285086,
        0.0285062,
        0.0286594,
        0.0284728,
        0.0284655,
        0.0285458,
        0.0285989,
        0.0285568,
        0.0285587,
        0.028549,
        0.0286089,
        0.0287796,
        0.0287453,
        0.0289379,
        0.0291429,
        0.0291068,
        0.0292018,
        0.0331049,
        0.0334538,
        0.0298526,
        0.0295805,
        0.0293148,
        0.02974,
        0.0297873,
        0.0296689,
        0.0296386,
        0.0297425,
        0.0297314,
        0.0297355,
        0.0297586,
        0.029766,
        0.0299227,
        0.0299583,
        0.0298705,
        0.029869,
        0.0301412,
        0.0301268,
        0.0301702,
        0.0299697,
        0.0298788,
        0.0300938,
        0.0303163,
        0.0302098,
        0.0301317,
        0.030456,
        0.0302239,
        0.0296877,
        0.0294609,
        0.0297384,
        0.0294012,
        0.0294681,
        0.0294066,
        0.0295116,
        0.0295405,
        0.0294486,
        0.0293588,
        0.0293522,
        0.0292367,
        0.0295686,
        0.0295388,
        0.0294876,
        0.0292546,
        0.0290208,
        0.0287681,
        0.0288018,
        0.0293119,
        0.0293099,
        0.0287884,
        0.0289709,
        0.0288751,
        0.0292654,
        0.0292446,
        0.029237,
        0.0292482,
        0.029404,
        0.0295988,
        0.0295009,
        0.0294341,
        0.029325,
        0.0292556,
        0.0296605,
        0.0296505,
        0.02985,
        0.0303459,
        0.0303509,
        0.0301024,
        0.0302561,
        0.0305421,
        0.0305455,
        0.0307782,
        0.0310491,
        0.0307509,
        0.0307666,
        0.0309806,
        0.0310481,
        0.0311602,
        0.031061,
        0.0309335,
        0.0311888,
        0.0312274,
        0.0318546,
        0.0318154,
        0.031415,
        0.0315989,
        0.0313094,
        0.0311293,
        0.0307804,
        0.0311485,
        0.0311978,
        0.0313875,
        0.0313715,
        0.0315003,
        0.0319475,
        0.0312711,
        0.0314297,
        0.0314029,
        0.0316946,
        0.0317363,
        0.0317946,
        0.0321455,
        0.0324319,
        0.0326274,
        0.0327051,
        0.0323444,
        0.0318978,
        0.0330016,
        0.0327847,
        0.031211,
        0.0308167,
        0.03076,
        0.032342,
        0.0319851,
        0.0303575,
        0.030548,
        0.0318582,
        0.0323453,
        0.0300611,
        0.030353,
        0.0303257,
        0.0298891,
        0.0298186,
        0.0298528,
        0.0301477,
        0.0305488,
        0.0306991,
        0.030297,
        0.030448,
        0.0303539,
        0.0304241,
        0.0307843,
        0.0309217,
        0.0310599,
        0.0308836,
        0.0307818,
        0.0308225,
        0.031003,
        0.0311374,
        0.0312751,
        0.0312564,
        0.0311914,
        0.0315856,
        0.0318373,
        0.0314224,
        0.0318438,
        0.0315493,
        0.0314928,
        0.0316738,
        0.0317565,
        0.0315458,
        0.0314721,
        0.0318278,
        0.0351563,
        0.0386105,
        0.0344844,
        0.0316783,
        0.0315888,
        0.0315873,
        0.0315721,
        0.0316445,
        0.0315188,
        0.0317801,
        0.0318262,
        0.0315969,
        0.0315455,
        0.031702,
        0.0312692,
        0.0310116,
        0.0310645,
        0.0309206,
        0.0306538,
        0.0309485,
        0.0305827,
        0.0304187,
        0.0304656,
        0.0309805,
        0.0359785,
        0.0356576,
        0.0302469,
        0.0302585,
        0.0303884,
        0.0304856,
        0.0310442,
        0.0305916,
        0.0306865,
        0.0306198,
        0.0307268,
        0.030634,
        0.0308548,
        0.0307198,
        0.0303765,
        0.0311671,
        0.0314944,
        0.031173,
        0.0310087,
        0.0310841,
        0.0312317,
        0.0319773,
        0.0323133,
        0.0319973,
        0.0313595,
        0.0314859,
        0.0316382,
        0.0316866,
        0.0315452,
        0.0321241,
        0.0322274,
        0.0322423,
        0.0322707,
        0.0326224,
        0.0328137,
        0.0330128,
        0.0329333,
        0.0329316,
        0.032688,
        0.0326788,
        0.032508,
        0.0324439,
        0.0336533,
        0.0335189,
        0.0323248,
        0.0320745,
        0.0318891,
        0.0319058,
        0.0318835,
        0.0320312,
        0.0330706,
        0.0325607,
        0.0314526,
        0.0313846,
        0.0314706,
        0.0312437,
        0.031115,
        0.0308072,
        0.0307037,
        0.0305295,
        0.030444,
        0.030404,
        0.0304703,
        0.0307084,
        0.030586,
        0.0305572,
        0.0308604,
        0.0309713,
        0.0347797,
        0.0335943,
        0.0310785,
        0.0308012,
        0.0304484,
        0.0305581,
        0.0308352,
        0.0306227,
        0.0305401,
        0.0311683,
        0.030877,
        0.0309972,
        0.0337605,
        0.0326828,
        0.0314303,
        0.0316643,
        0.032074,
        0.0322852,
        0.0319417,
        0.0316427,
        0.0316152,
        0.0318878,
        0.0319468,
        0.0320752,
        0.032216,
        0.0325859,
        0.0327003,
        0.0326769,
        0.0324129,
        0.0325197,
        0.0324114,
        0.0323331,
        0.0324775,
        0.032637,
        0.0323583,
        0.0327548,
        0.0330637,
        0.0330137,
        0.0327881,
        0.0328814,
        0.0332713,
        0.0334305,
        0.0328809,
        0.0327348,
        0.0328056,
        0.0329406,
        0.0328902,
        0.0331091,
        0.0332172,
        0.0328718,
        0.0326316,
        0.0331674,
        0.0329846,
        0.0329803,
        0.0329704,
        0.0329626,
        0.0331262,
        0.0334875,
        0.0334747,
        0.0340002,
        0.0345057,
        0.0348204,
        0.0349205,
        0.0347577,
        0.0344429,
        0.0339889,
        0.0336359,
        0.0334518,
        0.0330579,
        0.0327916,
        0.0329059,
        0.0327028,
        0.0322738,
        0.032003,
        0.032502,
        0.0321707,
        0.0323074,
        0.0329363,
        0.0329766,
        0.0327958,
        0.0330975,
        0.0329424,
        0.0330855,
        0.0334702,
        0.0334862,
        0.033013,
        0.0328888,
        0.0331138,
        0.0331135,
        0.0330769,
        0.0335179,
        0.0337862,
        0.0338462,
        0.0340181,
        0.0342634,
        0.0347478,
        0.0341086,
        0.0340866,
        0.0342145,
        0.0343787,
        0.0343623,
        0.0343182,
        0.034632,
        0.0348981,
        0.0349299,
        0.0349163,
        0.0347487,
        0.035215,
        0.0388711,
        0.0369923,
        0.0347462,
        0.0349704,
        0.0352339,
        0.0357148,
        0.0360962,
        0.0344553,
        0.0344185,
        0.0347033,
        0.0345833,
        0.0346945,
        0.0346892,
        0.0355089,
        0.0351582,
        0.035207,
        0.0347585,
        0.0342362,
        0.0341043,
        0.0345345,
        0.0385942,
        0.0365381,
        0.0344268,
        0.0343147,
        0.0345816,
        0.0385295,
        0.0366452,
        0.0340774,
        0.033962,
        0.0343076,
        0.0340505,
        0.0341285,
        0.0341934,
        0.0349652,
        0.03858,
        0.0378167,
        0.0353978,
        0.0350975,
        0.035182,
        0.0355398,
        0.0357217,
        0.0397922,
        0.0383661,
        0.0354527,
        0.0354834,
        0.035348,
        0.0356823,
        0.0357579,
        0.0359309,
        0.0367618,
        0.0370804,
        0.0372788,
        0.0408132,
        0.0406764,
        0.0367957,
        0.0368825,
        0.0368339,
        0.0381089,
        0.0383574,
        0.0371337,
        0.037627,
        0.0375622,
        0.0374577,
        0.0378461,
        0.0378028,
        0.0373999,
        0.0375712,
        0.0374882,
        0.0372362,
        0.0373022,
        0.0375553,
        0.0379312,
        0.0448388,
        0.0448757,
        0.0380567,
        0.0376169,
        0.0377499,
        0.0380994,
        0.0381079,
        0.0378979,
        0.0375721,
        0.0375239,
        0.0371786,
        0.0371002,
        0.0370446,
        0.037225,
        0.0372314,
        0.0372423,
        0.0372081,
        0.0375489,
        0.0373485,
        0.0373421,
        0.0373897,
        0.0376515,
        0.0423175,
        0.0432352,
        0.0406577,
        0.0456687,
        0.0454915,
        0.0385609,
        0.0382092,
        0.037826,
        0.0378883,
        0.038129,
        0.0378919,
        0.0379622,
        0.0379327,
        0.0380668,
        0.0385619,
        0.038699,
        0.0389736,
        0.0394734,
        0.0394774,
        0.0396936,
        0.0395546,
        0.0396675,
        0.0397755,
        0.0398235,
        0.0402748,
        0.0404713,
        0.040448,
        0.0405876,
        0.0405982,
        0.0406287,
        0.0407045,
        0.0404818,
        0.0407197,
        0.0411585,
        0.0414199,
        0.0413365,
        0.0414389,
        0.0454593,
        0.0458978,
        0.0423876,
        0.0424507,
        0.042454,
        0.0440954,
        0.0447339,
        0.0447561,
        0.0440226,
        0.0428821,
        0.0433654,
        0.043425,
        0.0439394,
        0.0445228,
        0.0448334,
        0.0450443,
        0.0454673,
        0.0459629,
        0.0470527,
        0.0483864,
        0.0498914,
        0.051097,
        0.0527296,
        0.0551045,
        0.0566309,
        0.0578652,
        0.0578412,
        0.0566729,
        0.0549115,
        0.0539711,
        0.0524562,
        0.051717,
        0.0513896,
        0.0508993,
        0.051484,
        0.0504779,
        0.0468838,
        0.0462071,
        0.0458536,
        0.0453919,
        0.045642,
        0.0480503,
        0.0485988,
        0.0445457,
        0.0446061,
        0.0450865,
        0.0445484,
        0.0451945,
        0.0458887,
        0.0526411,
        0.0519282,
        0.0453979,
        0.0456009,
        0.0459151,
        0.0458888,
        0.0461399,
        0.0462027,
        0.0463135,
        0.0467149,
        0.0462161,
        0.0468198,
        0.0483616,
        0.0480772,
        0.0471227,
        0.0475517,
        0.0475864,
        0.0480199,
        0.0482599,
        0.0484247,
        0.0487688,
        0.049467,
        0.049449,
        0.0494379,
        0.0501301,
        0.0509793,
        0.0507928,
        0.0503356,
        0.0507997,
        0.0513684,
        0.0526642,
        0.0528393,
        0.0531588,
        0.0540322,
        0.0548291,
        0.055457,
        0.0565864,
        0.0576753,
        0.0570383,
        0.0556777,
        0.055536,
        0.0556726,
        0.0542843,
        0.0538176,
        0.0530836,
        0.0527518,
        0.0529464,
        0.0528597,
        0.0528055,
        0.0593444,
        0.0576059,
        0.0524613,
        0.0524428,
        0.0518674,
        0.0515154,
        0.0511708,
        0.0515364,
        0.0518644,
        0.0532787,
        0.0539329,
        0.054277,
        0.0554019,
        0.0556659,
        0.0555018,
        0.0555213,
        0.0558198,
        0.0554736,
        0.0557535,
        0.0565334,
        0.057109,
        0.0576403,
        0.0565803,
        0.0568664,
        0.0583696,
        0.0570055,
        0.0567028,
        0.0568538,
        0.0569389,
        0.0574464,
        0.0586093,
        0.0585781,
        0.0595023,
        0.0595256,
        0.0607123,
        0.0658769,
        0.0663407,
        0.0624804,
        0.063351,
        0.0637359,
        0.0650542,
        0.0655285,
        0.065806,
        0.0655359,
        0.0658717,
        0.0659169,
        0.0656566,
        0.0649137,
        0.0655515,
        0.0660322,
        0.0664459,
        0.067934,
        0.069886,
        0.0708678,
        0.0725589,
        0.0740162,
        0.0733039,
        0.0726295,
        0.0727619,
        0.0711474,
        0.0699859,
        0.0690376,
        0.0677444,
        0.0669913,
        0.0664478,
        0.0673749,
        0.0708604,
        0.0678656,
        0.0645876,
        0.0658901,
        0.0666867,
        0.0656345,
        0.0652626,
        0.0653922,
        0.0659909,
        0.0654869,
        0.0666663,
        0.0667335,
        0.065762,
        0.0652819,
        0.066231,
        0.0663522,
        0.0674151,
        0.068063,
        0.0682688,
        0.0676603,
        0.0684642,
        0.0704675,
        0.0713884,
        0.0712005,
        0.0713598,
        0.0719457,
        0.0726141,
        0.0729723,
        0.0727414,
        0.0731522,
        0.0750173,
        0.0762133,
        0.0883045,
        0.0866132,
        0.0757794,
        0.0774335,
        0.0797337,
        0.0802311,
        0.0801639,
        0.0806212,
        0.0812196,
        0.0826543,
        0.0828515,
        0.0820336,
        0.0839982,
        0.0859512,
        0.0852048,
        0.0841047,
        0.0850912,
        0.0862719,
        0.0892261,
        0.089223,
        0.0877851,
        0.0878271,
        0.0884097,
        0.0898484,
        0.0906585,
        0.091422,
        0.0910869,
        0.0934887,
        0.0954349,
        0.0976789,
        0.0969056,
        0.0979187,
        0.0986213,
        0.0968209,
        0.0980787,
        0.0993088,
        0.10181,
        0.121389,
        0.120929,
        0.105846,
        0.107759,
        0.110309,
        0.109233,
        0.110273,
        0.112204,
        0.116373,
        0.118671,
        0.120281,
        0.123371,
        0.124354,
        0.124847,
        0.141551,
        0.143069,
        0.126389,
        0.129053,
        0.128969,
        0.126158,
        0.127252,
        0.138086,
        0.142369,
        0.137331,
        0.139843,
        0.138228,
        0.141642,
        0.168308,
        0.173052,
        0.153541,
        0.152237,
        0.153758,
        0.158383,
        0.157595,
        0.159127,
        0.164665,
        0.170838,
        0.174882,
        0.173751,
        0.178059,
        0.183279,
        0.188509,
        0.190149,
        0.194316,
        0.20371,
        0.211829,
        0.208765,
        0.215282,
        0.228155,
        0.233821,
        0.23569,
        0.236468,
        0.245566,
        0.264037,
        null,
        0.212901,
        0.211906,
        0.202128,
        0.195403,
        0.196344,
        0.196481,
        0.182093,
        0.183558,
        0.179901,
        0.175937,
        0.169398,
        0.166963,
        0.167782,
        0.16644,
        0.15749,
        0.154242,
        0.15624,
        0.153971,
        0.151614,
        0.150335,
        0.14973,
        0.150902,
        0.145944,
        0.140527,
        0.140181,
        0.137857,
        0.136041,
        0.135577,
        0.135794,
        0.133063,
        null,
        0.049699,
        0.0499478,
        0.0497297,
        0.05009,
        0.0499028,
        0.0501007,
        0.0502658,
        0.0502885,
        0.0503337,
        0.0507738,
        0.0509138,
        0.0511398,
        0.050614,
        0.0502677,
        0.050319,
        0.0508197,
        0.0507262,
        0.0509197,
        0.0511659,
        0.0509391,
        0.0510653,
        0.0514919,
        0.0509417,
        0.0502516,
        0.0503124,
        0.0505361,
        0.0507238,
        0.0506809,
        0.0509652,
        0.051241,
        0.0519762,
        0.0525565,
        0.0516129,
        0.0518706,
        0.0522642,
        0.0520177,
        0.0519615,
        0.0524558,
        0.0525755,
        0.0533702,
        0.0542243,
        0.0545663,
        0.0549726,
        0.0552286,
        0.0559206,
        0.0568816,
        0.0572803,
        0.058445,
        0.0597809,
        0.0619375,
        0.0643267,
        0.0676763,
        0.070811,
        0.0728851,
        0.0730436,
        0.0722193,
        0.0709205,
        0.0708174,
        0.0715828,
        0.0750224,
        0.0849968,
        0.0872793,
        0.0828467,
        0.0865799,
        0.088659,
        0.0876383,
        0.0846968,
        0.081474,
        0.0783115,
        0.0763209,
        0.0750942,
        0.0741798,
        0.0730656,
        0.0730331,
        0.0735075,
        0.073309,
        0.0727794,
        0.0725626,
        0.0735304,
        0.0735139,
        0.0739566,
        0.0748183,
        0.0761261,
        0.0769113,
        0.0770977,
        0.0777708,
        0.0790109,
        0.0803302,
        0.0818539,
        0.0828183,
        0.0840227,
        0.0856995,
        0.0863341,
        0.0872889,
        0.089617,
        0.0925556,
        0.0948794,
        0.096375,
        0.097579,
        0.100366,
        0.104973,
        0.108878,
        0.112841,
        0.134107,
        0.138614,
        0.125226,
        0.131243,
        0.13636,
        0.143072,
        0.149827,
        0.157182,
        0.167074,
        0.176324,
        0.187059,
        null,
        0.205557,
        0.194795,
        0.185733,
        0.17211,
        0.164629,
        0.157894,
        0.153356,
        0.145004,
        0.1403,
        0.137081,
        0.129757,
        0.125312,
        0.122819,
        0.122425,
        0.122542,
        0.12091,
        0.118125,
        0.116259,
        0.113919,
        0.110673,
        0.10858,
        0.108537,
        0.104694,
        0.0978927,
        0.0926294,
        0.0902384,
        0.0862305,
        0.0836821,
        0.0808923,
        0.0785366,
        0.0763998,
        0.0742014,
        0.0730221,
        0.0712097,
        0.0691311,
        0.0688624,
        0.0677203,
        0.0660617,
        0.0647973,
        0.0639777,
        0.063142,
        0.0624844,
        0.062899,
        0.062496,
        0.0613014,
        0.0609173,
        0.0605635,
        0.0601982,
        0.0604688,
        0.0605209,
        0.0611292,
        0.0621056,
        0.064012,
        0.0656621,
        0.0669751,
        0.0676696,
        0.0667994,
        0.0633451,
        0.0607863,
        0.0597581,
        0.0580865,
        0.0569067,
        0.0555416,
        0.0545855,
        0.0539368,
        0.053707,
        0.0534353,
        0.0524426,
        0.0515504,
        0.0518216,
        0.0516756,
        0.0516787,
        0.0520269,
        0.0513878,
        0.0508601,
        0.0588738,
        0.0570578,
        0.0485489,
        0.0481779,
        0.0478849,
        0.0474233,
        0.046977,
        0.0464548,
        0.0464423,
        0.0471489,
        0.0552908,
        0.0543973,
        0.0455362,
        0.0451963,
        0.0452206,
        0.0454649,
        0.0448153,
        0.0445139,
        0.0446218,
        0.0445467,
        0.0439187,
        0.043452,
        0.0434508,
        0.0435754,
        0.0435254,
        0.0435251,
        0.0434996,
        0.0426746,
        0.0424528,
        0.0449573,
        0.045816,
        0.0432514,
        0.0431302,
        0.0429731,
        0.0433306,
        0.0434863,
        0.0434821,
        0.0436942,
        0.0432468,
        0.0436304,
        0.0435908,
        0.0437139,
        0.0525146,
        0.0525184,
        0.0439973,
        0.04419,
        0.0443458,
        0.044714,
        0.0450615,
        0.045686,
        0.0456973,
        0.0456789,
        0.0462325,
        0.0469384,
        0.0477793,
        0.0482588,
        0.049267,
        0.0504981,
        0.0510909,
        0.0518891,
        0.0536787,
        0.0560836,
        0.0583726,
        0.0620133,
        0.0658393,
        0.0686672,
        0.0731196,
        0.0782796,
        0.0826339,
        0.0837462,
        0.0832708,
        0.0812969,
        0.0770417,
        0.0705619,
        0.0685823,
        0.0672436,
        0.0591731,
        0.0550807,
        0.0526012,
        0.0502472,
        0.0482722,
        0.0467735,
        0.0454966,
        0.0452095,
        0.0438283,
        0.0431056,
        0.0426386,
        0.0420836,
        0.0414123,
        0.041106,
        0.0410793,
        0.0417073,
        0.0417593,
        0.0408377,
        0.040377,
        0.0401146,
        0.0400107,
        0.0398859,
        0.039777,
        0.0397785,
        0.0396505,
        0.0394598,
        0.0399235,
        0.0400152,
        0.03956,
        0.0394797,
        0.0392914,
        0.0390504,
        0.0389801,
        0.0394142,
        0.0395736,
        0.0402263,
        0.0412143,
        0.0409492,
        0.039534,
        0.0393379,
        0.0391856,
        0.0394183,
        0.0394328,
        0.0391726,
        0.0393049,
        0.0393267,
        0.0392818,
        0.0392897,
        0.0391423,
        0.0386502,
        0.0388463,
        0.0387907,
        0.0385598,
        0.0387086,
        0.0383492,
        0.038344,
        0.0378507,
        0.0378141,
        0.0376724,
        0.0375115,
        0.0376745,
        0.0379789,
        0.041596,
        0.0388598,
        0.0369923,
        0.0364166,
        0.0365848,
        0.0369543,
        0.0368773,
        0.0369792,
        0.0373825,
        0.0374155,
        0.0366637,
        0.0369641,
        0.0372132,
        0.0369228,
        0.0369286,
        0.0368777,
        0.0372115,
        0.0372426,
        0.0373174,
        0.037137,
        0.0368544,
        0.0376177,
        0.045977,
        0.044251,
        0.0388008,
        0.0395501,
        0.0404521,
        0.0410075,
        0.0421197,
        0.0439811,
        0.0454591,
        0.0471634,
        0.0480031,
        0.0473994,
        0.0459116,
        0.04389,
        0.0422401,
        0.0414255,
        0.0412239,
        0.040397,
        0.0401176,
        0.039423,
        0.0393991,
        0.0393586,
        0.039087,
        0.038717,
        0.038712,
        0.0388013,
        0.0390484,
        0.0390731,
        0.0388807,
        0.0391032,
        0.0387187,
        0.0387334,
        0.0383827,
        0.0380212,
        0.0384419,
        0.0385856,
        0.0379317,
        0.0381184,
        0.0391038,
        0.0395132,
        0.0444938,
        0.0438225,
        0.0372416,
        0.0372931,
        0.0375609,
        0.0387342,
        0.0389073,
        0.0375123,
        0.0373342,
        0.0377982,
        0.0379161,
        0.0374111,
        0.0375075,
        0.0374313,
        0.037003,
        0.037542,
        0.0378084,
        0.0392415,
        0.0379655,
        0.0377434,
        0.0376281,
        0.0374808,
        0.0375042,
        0.0378425,
        0.038304,
        0.0382409,
        0.0381793,
        0.0381786,
        0.0383592,
        0.0383742,
        0.0386414,
        0.0390443,
        0.0386958,
        0.0391075,
        0.0406801,
        0.0415908,
        0.0391527,
        0.0393963,
        0.0399206,
        0.0402013,
        0.0402943,
        0.0400225,
        0.0398081,
        0.0400707,
        0.0403785,
        0.0408874,
        0.0415091,
        0.0414243,
        0.0429402,
        0.0428788,
        0.0407793,
        0.0410356,
        0.0405126,
        0.0406635,
        0.0406091,
        0.0406763,
        0.0404018,
        0.0406435,
        0.0404182,
        0.0404698,
        0.0405429,
        0.0407141,
        0.0409451,
        0.0412788,
        0.0414318,
        0.0416479,
        0.0419681,
        0.042611,
        0.04236,
        0.0428914,
        0.0431279,
        0.0431466,
        0.0445923,
        0.0456007,
        0.0450794,
        0.0457099,
        0.0459834,
        0.0467956,
        0.0481841,
        0.0490787,
        0.0574453,
        0.0588496,
        0.0532044,
        0.0548513,
        0.057319,
        0.0598794,
        0.0628096,
        0.0671741,
        0.071137,
        0.0766683,
        0.0834498,
        0.092439,
        0.10478,
        0.129327,
        0.154526,
        0.177063,
        0.220899,
        0.242772,
        0.196936,
        0.15782,
        0.132674,
        0.113818,
        0.0990708,
        0.0898155,
        0.0843272,
        0.0793757,
        0.0726204,
        0.0685115,
        0.0652778,
        0.0623138,
        0.0592851,
        0.0568724,
        0.0554406,
        0.0544839,
        0.0528804,
        0.0520707,
        0.0525501,
        0.0510292,
        0.0486943,
        0.0494574,
        0.0482416,
        0.0478942,
        0.0462672,
        0.0457872,
        0.0459137,
        0.0458352,
        0.045636,
        0.0500015,
        0.0494723,
        0.0461759,
        0.0458427,
        0.044244,
        0.044188,
        0.0442072,
        0.0444065,
        0.0447569,
        0.0448358,
        0.044779,
        0.0450866,
        0.0457363,
        0.0463169,
        0.0463445,
        0.0466637,
        0.0473232,
        0.0489287,
        0.0503566,
        0.0518477,
        0.053925,
        0.0605529,
        0.0600766,
        0.0609909,
        0.0640218,
        0.0656486,
        0.065842,
        0.0649108,
        0.0647265,
        0.0649332,
        0.0664104,
        0.0707439,
        0.0760072,
        0.0824578,
        0.0906653,
        0.102,
        0.118764,
        0.142566,
        0.167124,
        0.185544,
        0.200275,
        0.187319,
        0.16443,
        0.144009,
        0.120293,
        0.101054,
        0.0896674,
        0.0801729,
        0.0730925,
        0.0676462,
        0.0631136,
        0.0601795,
        0.0581667,
        0.0561135,
        0.0541438,
        0.052988,
        0.0525708,
        0.052715,
        0.05292,
        0.0521623,
        0.051785,
        0.0525538,
        0.0533514,
        0.0535407,
        0.0531737,
        0.0531664,
        0.0536598,
        0.0541009,
        0.0538152,
        0.0533281,
        0.0535246,
        0.0548459,
        0.0539589,
        0.0522176,
        0.0529996,
        0.0539588,
        0.0535891,
        0.0522766,
        0.0522664,
        0.0523979,
        0.0531996,
        0.0545634,
        0.0567123,
        0.0587013,
        0.0617161,
        0.0665237,
        0.0701841,
        0.0719406,
        0.0705627,
        0.0682071,
        0.0672891,
        0.0676382,
        0.0687788,
        0.0722051,
        0.0757561,
        0.0767993,
        0.076159,
        0.0747737,
        0.074731,
        0.0745184,
        0.0744874,
        0.0880039,
        0.0889275,
        0.0793171,
        0.0791999,
        0.081014,
        0.0832852,
        0.0862258,
        0.0892624,
        0.0936327,
        0.0990141,
        0.105691,
        0.109742,
        0.114401,
        0.136274,
        0.148979,
        0.147265,
        0.161057,
        0.177627,
        0.195253,
        0.21944,
        0.184419,
        0.171506,
        0.157891,
        0.146692,
        0.145123,
        0.128423,
        0.118672,
        0.115549,
        0.123386,
        0.112376,
        0.1046,
        0.0990076,
        0.0943738,
        0.0905602,
        0.0888112,
        0.0875613,
        0.0864169,
        0.0909721,
        0.0844467,
        0.0810331,
        0.080555,
        0.0791644,
        0.0795086,
        0.0790074,
        0.0773628,
        0.0760447,
        0.0751308,
        0.0747275,
        0.0751304,
        0.0753997,
        0.0755377,
        0.0758781,
        0.0820364,
        0.0901301,
        0.0842757,
        0.0805733,
        0.0813118,
        0.0829378,
        0.0857035,
        0.0908506,
        0.0962077,
        0.101317,
        0.107128,
        0.112197,
        0.115884,
        0.115221,
        0.110196,
        0.104387,
        0.100631,
        0.0972912,
        0.0946663,
        0.0920576,
        0.0886617,
        0.0872991,
        0.0870928,
        0.0872045,
        0.0880746,
        0.0867954,
        0.0886957,
        0.0923842,
        0.0994316,
        0.0994619,
        0.0972396,
        0.0993251,
        0.10297,
        0.107538,
        0.1128,
        0.118096,
        0.123029,
        0.123818,
        0.121461,
        0.122333,
        0.120437,
        0.120803,
        0.137566,
        0.139414,
        0.130824,
        0.135007,
        0.137786,
        0.138301,
        0.143716,
        0.154688,
        0.15017,
        0.159325,
        0.168903,
        0.176617,
        0.183591,
        0.184817,
        0.194551,
        0.207198,
        0.221848,
        null,
        0.233566,
        0.220291,
        0.205499,
        0.19174,
        0.18068,
        0.173518,
        0.167188,
        0.159838,
        0.152217,
        0.146448,
        0.138664,
        0.133827,
        0.132331,
        0.129496,
        0.123575,
        0.142346,
        0.139603,
        0.115247,
        0.110768,
        0.108037,
        0.105815,
        0.103877,
        0.104674,
        0.101102,
        0.100056,
        0.0984476,
        0.0972004,
        0.0962878,
        0.0964809,
        0.0963922,
        0.0955008,
        0.0930447,
        0.0918065,
        0.0942366,
        0.0873993,
        0.0831978,
        0.0803329,
        0.0784976,
        0.0775857,
        0.0769176,
        0.0745887,
        0.0721262,
        0.0707419,
        0.0700867,
        0.0692452,
        0.070802,
        0.0692796,
        0.0657005,
        0.0646435,
        0.063147,
        0.0621879,
        0.061958,
        0.0616314,
        0.0613951,
        0.0607831,
        0.0608089,
        0.0607491,
        0.0588954,
        0.0577117,
        0.0569754,
        0.0561483,
        0.0554954,
        0.0549622,
        0.0559458,
        0.0545839,
        0.0539438,
        0.0536814,
        0.0535577,
        0.0535724,
        0.0534248,
        0.0531783,
        0.0531585,
        0.0524042,
        0.052693,
        0.0522031,
        0.052026,
        0.0518433,
        0.0533393,
        0.0545629,
        0.051745,
        0.0516858,
        0.0511961,
        0.050768,
        0.0506791,
        0.0514658,
        0.0521355,
        0.0524205,
        0.0529999,
        0.0540093,
        0.0550514,
        0.0566585,
        0.0574231,
        0.057834,
        0.0612496,
        0.0594137,
        0.0535463,
        0.0523615,
        0.0511992,
        0.0510544,
        0.0507603,
        0.0497945,
        0.0482038,
        0.0480046,
        0.048166,
        0.0480814,
        0.0470166,
        0.0466167,
        0.0462945,
        0.0463708,
        0.0472493,
        0.0465617,
        0.0456372,
        0.0455851,
        0.0452903,
        0.0449543,
        0.0442842,
        0.0443113,
        0.0440032,
        0.0440317,
        0.0438677,
        0.0441785,
        0.0431658,
        0.0428983,
        0.042992,
        0.043312,
        0.0435807,
        0.0430622,
        0.0431803,
        0.0494583,
        0.0483513,
        0.0420348,
        0.0418224,
        0.0414109,
        0.0414484,
        0.0413296,
        0.0419577,
        0.0426203,
        0.0422089,
        0.0416553,
        0.0417659,
        0.0422167,
        0.0422096,
        0.0419816,
        0.0419799,
        0.0424241,
        0.0430693,
        0.0425534,
        0.042164,
        0.0421089,
        0.0422272,
        0.0424895,
        0.0423843,
        0.0425887,
        0.0427295,
        0.0428402,
        0.042587,
        0.0423189,
        0.0422936,
        0.0423656,
        0.0419781,
        0.0420724,
        0.0433839,
        0.0484927,
        0.0468803,
        0.0425608,
        0.0427328,
        0.0429165,
        0.0428907,
        0.0451703,
        0.0441491,
        0.0431137,
        0.0433118,
        0.0426061,
        0.0417028,
        0.0415348,
        0.0409796,
        0.0410899,
        0.0412139,
        0.0407123,
        0.0404883,
        0.0403725,
        0.0405565,
        0.0405822,
        0.0406538,
        0.0406149,
        0.0434068,
        0.0428461,
        0.0394792,
        0.0390895,
        0.03883,
        0.0391625,
        0.0444404,
        0.0433613,
        0.0387284,
        0.03847,
        0.0382423,
        0.038631,
        0.0445179,
        0.0438614,
        0.0386159,
        0.0386982,
        0.0388611,
        0.0412581,
        0.0413681,
        0.0387214,
        0.0385744,
        0.038826,
        0.0389453,
        0.0399478,
        0.0403249,
        0.0389844,
        0.0389808,
        0.0389906,
        0.039657,
        0.0402349,
        0.0400359,
        0.0396878,
        0.0404211,
        0.040287,
        0.0400807,
        0.0398878,
        0.0401674,
        0.0402516,
        0.040044,
        0.0398659,
        0.0397862,
        0.0398046,
        0.0395723,
        0.0398095,
        0.0401314,
        0.0396674,
        0.0396092,
        0.0393381,
        0.0394086,
        0.0396305,
        0.043866,
        0.0432781,
        0.0393462,
        0.0393967,
        0.039613,
        0.0393975,
        0.039862,
        0.0392991,
        0.0390183,
        0.0389917,
        0.0389126,
        0.0389888,
        0.0391641,
        0.0387506,
        0.0386581,
        0.0385377,
        0.0381327,
        0.0382913,
        0.0385327,
        0.0381446,
        0.0379463,
        0.0380452,
        0.0378557,
        0.0376407,
        0.0379959,
        0.0381778,
        0.0379767,
        0.037771,
        0.038146,
        0.0383936,
        0.0382862,
        0.0383533,
        0.0400965,
        0.0413086,
        0.0381309,
        0.0383574,
        0.0384741,
        0.0386043,
        0.0386826,
        0.0385581,
        0.0383704,
        0.0386914,
        0.0389139,
        0.0393693,
        0.0402651,
        0.0405932,
        0.0405243,
        0.0464126,
        0.0458947,
        0.041913,
        0.0424108,
        0.0412128,
        0.0416503,
        0.0423347,
        0.0428602,
        0.0442092,
        0.0447623,
        0.0461922,
        0.0471287,
        0.0467809,
        0.0462135,
        0.0457524,
        0.0448305,
        0.0436841,
        0.0432554,
        0.0430575,
        0.0431954,
        0.0427324,
        0.0420834,
        0.0426143,
        0.042832,
        0.0425238,
        0.0431097,
        0.0460119,
        0.0448373,
        0.0423968,
        0.0424466,
        0.0422443,
        0.0423696,
        0.0418914,
        0.0409068,
        0.0406374,
        0.0407458,
        0.0406738,
        0.0401257,
        0.0404965,
        0.0442676,
        0.0457594,
        0.0421313,
        0.0399769,
        0.0397901,
        0.0392385,
        0.0394173,
        0.0395964,
        0.0393682,
        0.0395475,
        0.0390911,
        0.0391214,
        0.0397715,
        0.0394472,
        0.0393092,
        0.0396477,
        0.0394809,
        0.0396958,
        0.0398398,
        0.0397254,
        0.0397305,
        0.0398926,
        0.0404706,
        0.0420187,
        0.0469181,
        0.0454995,
        0.0414267,
        0.0413203,
        0.0407474,
        0.0446723,
        0.0451176,
        0.040478,
        0.0404876,
        0.0411514,
        0.0415844,
        0.0426749,
        0.0424716,
        0.0413567,
        0.0412874,
        0.041784,
        0.0418939,
        0.042029,
        0.0422758,
        0.0420547,
        0.0420709,
        0.0427532,
        0.0427269,
        0.0425776,
        0.0425319,
        0.0426829,
        0.0431855,
        0.0426914,
        0.0425269,
        0.0420984,
        0.0424968,
        0.043216,
        0.0440549,
        0.0436969,
        0.0426097,
        0.0426427,
        0.0425556,
        0.0428544,
        0.0431388,
        0.0432085,
        0.0431281,
        0.0427137,
        0.043237,
        0.0430569,
        0.0427418,
        0.0432367,
        0.0434458,
        0.043416,
        0.0433136,
        0.0432126,
        0.0432213,
        0.0432586,
        0.0440497,
        0.0447962,
        0.0445257,
        0.0452664,
        0.0452865,
        0.045436,
        0.0456928,
        0.0461786,
        0.046124,
        0.0465739,
        0.0464855,
        0.0466073,
        0.0476769,
        0.0525699,
        0.0533064,
        0.0493517,
        0.0500841,
        0.0497064,
        0.0504184,
        0.0510235,
        0.0514708,
        0.0523429,
        0.0535256,
        0.0545239,
        0.0552112,
        0.0566882,
        0.0578937,
        0.059687,
        0.0610345,
        0.0638572,
        0.0672378,
        0.0699143,
        0.0727282,
        0.075577,
        0.0794133,
        0.0852825,
        0.0949206,
        0.120996,
        0.134553,
        0.128652,
        0.147048,
        0.171996,
        0.205116,
        0.260487,
        0.214013,
        0.175799,
        0.149921,
        0.129422,
        0.112601,
        0.103125,
        0.0954708,
        0.0875142,
        0.0806369,
        0.0759593,
        0.0728301,
        0.0701098,
        0.0667384,
        0.0646391,
        0.0629873,
        0.0618134,
        0.0608734,
        0.0574006,
        0.0568835,
        0.0561152,
        0.054853,
        0.0541884,
        0.0536277,
        0.0530053,
        0.0520475,
        0.05146,
        0.0517237,
        0.0517996,
        0.0513895,
        0.0520977,
        0.0512654,
        0.0501797,
        0.0503786,
        0.0512891,
        0.0495237,
        0.0494374,
        0.0509187,
        0.0500675,
        0.0500837,
        0.0499123,
        0.0498792,
        0.0502809,
        0.0506111,
        0.0508327,
        0.0505872,
        0.0513114,
        0.0529102,
        0.0527989,
        0.0530127,
        0.0534549,
        0.0542765,
        0.0542307,
        0.0542397,
        0.0538468,
        0.0533189,
        0.052608,
        0.05142,
        0.0508098,
        0.0509055,
        0.0512966,
        0.0515635,
        0.0511325,
        0.0504159,
        0.0508323,
        0.050819,
        0.0497089,
        0.0493232,
        0.0490195,
        0.049684,
        0.0492466,
        0.0499553,
        0.0504293,
        0.0493451,
        0.0499086,
        0.0492671,
        0.0491221,
        0.049506,
        0.0496906,
        0.0498559,
        0.0494729,
        0.0495453,
        0.0497521,
        0.0498182,
        0.0499564,
        0.0510511,
        0.0514626,
        0.0511753,
        0.0516817,
        0.0514408,
        0.0507324,
        0.0516896,
        0.052646,
        0.0530367,
        0.0519552,
        0.05762,
        0.0604331,
        0.0565602,
        0.0552541,
        0.0551122,
        0.0552276,
        0.0549029,
        0.0547639,
        0.0551155,
        0.0544971,
        0.0545764,
        0.0548864,
        0.0555058,
        0.0560732,
        0.0582165,
        0.0604088,
        0.0632278,
        0.0678777,
        0.0716822,
        0.073349,
        0.073837,
        0.0736832,
        0.0705253,
        0.0672014,
        0.0675409,
        0.0690218,
        0.0725332,
        0.0761354,
        0.0798019,
        0.0967594,
        0.10357,
        0.0951686,
        0.0989414,
        0.101367,
        0.102254,
        0.101771,
        0.0977813,
        0.0925886,
        0.0880345,
        0.0838957,
        0.078649,
        0.0738332,
        0.0716145,
        0.0703769,
        0.0666787,
        0.068291,
        0.0668718,
        0.0613039,
        0.0603557,
        0.0616012,
        0.0744935,
        0.0722477,
        0.0682732,
        0.0724426,
        0.0568232,
        0.0567043,
        0.0565656,
        0.0558451,
        0.0558023,
        0.0557663,
        0.055333,
        0.0545494,
        0.0546044,
        0.0548532,
        0.0573997,
        0.0573875,
        0.0552587,
        0.0556991,
        0.0559652,
        0.0561113,
        0.0567906,
        0.0645237,
        0.0639143,
        0.0568061,
        0.0571043,
        0.0569101,
        0.0568156,
        0.0575627,
        0.0579266,
        0.0573801,
        0.0571821,
        0.0573254,
        0.0574145,
        0.0577964,
        0.0577044,
        0.058351,
        0.0583142,
        0.0581073,
        0.0583931,
        0.0611511,
        0.0701223,
        0.0683912,
        0.0598402,
        0.0596803,
        0.0603105,
        0.0609256,
        0.0617558,
        0.0623515,
        0.0647456,
        0.0649198,
        0.0632127,
        0.0641915,
        0.0632453,
        0.0642199,
        0.0653949,
        0.0663023,
        0.0766336,
        0.0767501,
        0.0704418,
        0.0693944,
        0.0695919,
        0.070138,
        0.0724575,
        0.0745272,
        0.0759535,
        0.0777087,
        0.0803681,
        0.085085,
        0.0910352,
        0.101153,
        0.101795,
        0.0973541,
        0.10347,
        0.125185,
        0.119827,
        0.105053,
        0.104802,
        0.107797,
        0.112319,
        0.114494,
        0.119034,
        0.127099,
        0.137998,
        0.15247,
        0.169736,
        0.193129,
        0.228112,
        0.285379,
        0.30235,
        0.193516,
        0.170869,
        0.150451,
        0.138308,
        0.128273,
        0.121759,
        0.116779,
        0.109938,
        0.104747,
        0.101633,
        0.0990041,
        0.0950667,
        0.0911681,
        0.0879442,
        0.0851689,
        0.0832226,
        0.0813131,
        0.080754,
        0.0800663,
        0.0773123,
        0.0753771,
        0.0747077,
        0.0733956,
        0.0722898,
        0.0715319,
        0.0716414,
        0.0716511,
        0.0705609,
        0.0743607,
        0.0732658,
        0.067847,
        0.0671429,
        0.0668161,
        0.0768441,
        0.0770182,
        0.0664725,
        0.0659929,
        0.0652229,
        0.0642848,
        0.0643252,
        0.0645165,
        0.0642391,
        0.0636093,
        0.0637431,
        0.0646563,
        0.0650388,
        0.0638902,
        0.0647562,
        0.0676246,
        0.0672479,
        0.0638145,
        0.0630718,
        0.0634072,
        0.0644258,
        0.0648992,
        0.0680558,
        0.0669021,
        0.0639051,
        0.0643674,
        0.0629691,
        0.0639043,
        0.0636809,
        0.0630416,
        0.0641364,
        0.0642967,
        0.0646664,
        0.0645734,
        0.0649061,
        0.0649476,
        0.0653119,
        0.0651123,
        0.0647156,
        0.0646875,
        0.0647478,
        0.0644914,
        0.0669485,
        0.0681821,
        0.064929,
        0.0651001,
        0.0653869,
        0.0651902,
        0.0752635,
        0.0771478,
        0.067736,
        0.0675782,
        0.0677523,
        0.0669953,
        0.0669896,
        0.0677888,
        0.0795501,
        0.0749993,
        0.0672763,
        0.0772974,
        0.0768407,
        0.0667158,
        0.0668235,
        0.0663619,
        0.0664509,
        0.0657233,
        0.0665069,
        0.0740685,
        0.0767272,
        0.0667612,
        0.0670366,
        0.0669927,
        0.0672672,
        0.0670566,
        0.0673713,
        0.0676473,
        0.0681159,
        0.0681944,
        0.0675206,
        0.0680282,
        0.0675643,
        0.0671975,
        0.0679568,
        0.0679361,
        0.0684517,
        0.0685114,
        0.0673447,
        0.0674218,
        0.0684384,
        0.0693824,
        0.0699462,
        0.0703444,
        0.0708586,
        0.0702013,
        0.0799884,
        0.079895,
        0.0713639,
        0.0728727,
        0.0749249,
        0.0742771,
        0.0722106,
        0.0719594,
        0.0718788,
        0.0735307,
        0.0739217,
        0.0738032,
        0.0743422,
        0.0747394,
        0.0749936,
        0.0754715,
        0.0755992,
        0.0757875,
        0.076157,
        0.0763468,
        0.0762211,
        0.0759026,
        0.0757461,
        0.0754262,
        0.0758383,
        0.0776592,
        0.0782313,
        0.079327,
        0.0802798,
        0.080055,
        0.0786104,
        0.0786731,
        0.0800542,
        0.0805116,
        0.0817678,
        0.0825726,
        0.0802298,
        0.081033,
        0.081813,
        0.081631,
        0.081237,
        0.0812854,
        0.0828249,
        0.081959,
        0.0818465,
        0.0844819,
        0.0850243,
        0.0819555,
        0.0827338,
        0.0828034,
        0.0833635,
        0.0837959,
        0.084807,
        0.0851463,
        0.0847771,
        0.0839382,
        0.0835359,
        0.084299,
        0.0850053,
        0.0835493,
        0.0836064,
        0.0842714,
        0.0845196,
        0.0858643,
        0.0867287,
        0.0864292,
        0.0912356,
        0.0910676,
        0.0879868,
        0.0890836,
        0.0890694,
        0.0940215,
        0.0955205,
        0.0922645,
        0.0911593,
        0.0902748,
        0.0920866,
        0.0920672,
        0.0928434,
        0.0936272,
        0.0951502,
        0.0960687,
        0.0974717,
        0.0975479,
        0.0963802,
        0.0977292,
        0.0996144,
        0.100969,
        0.101594,
        0.105702,
        0.10408,
        0.104108,
        0.105001,
        0.106771,
        0.107894,
        0.108288,
        0.107878,
        0.110348,
        0.112631,
        0.112281,
        0.113228,
        0.113798,
        0.114072,
        0.113769,
        0.116865,
        0.117696,
        0.116701,
        0.115187,
        0.115822,
        0.118541,
        0.121087,
        0.120671,
        0.120064,
        0.122357,
        0.121983,
        0.121998,
        0.122763,
        0.126615,
        0.128934,
        0.127831,
        0.123932,
        0.125983,
        0.127566,
        0.132265,
        0.134521,
        0.133163,
        0.137798,
        0.143816,
        0.132944,
        0.13582,
        0.139287,
        0.141637,
        0.141661,
        0.141119,
        0.145438,
        0.149765,
        0.153178,
        0.156313,
        0.156783,
        0.152986,
        0.154718,
        0.156917,
        0.160756,
        0.166355,
        0.172062,
        0.178567,
        0.179431,
        0.182111,
        0.204789,
        0.192849,
        0.197001,
        0.205387,
        0.214174,
        0.220686,
        null,
        0.239964,
        0.236743,
        0.208396,
        0.206326,
        0.199126,
        0.198821,
        0.197925,
        0.18869,
        0.183408,
        0.183104,
        0.177178,
        0.171733,
        0.172599,
        0.179593,
        0.178766,
        0.17482,
        0.168761,
        0.162824,
        0.162211,
        0.165755,
        0.15976,
        0.161191,
        0.15953,
        0.154892,
        0.152846,
        0.150911,
        0.149123,
        0.148459,
        0.145663,
        0.142425,
        0.145289,
        0.146607,
        0.144292,
        0.143981,
        0.143981,
        0.142044,
        0.140186,
        0.139895,
        0.135282,
        0.134498,
        0.133907,
        0.133277,
        0.133104,
        0.134385,
        0.132723,
        0.13096,
        0.12974,
        0.13022,
        0.129142,
        0.12868,
        0.128035,
        0.127053,
        0.124304,
        0.122374,
        0.124052,
        0.123383,
        0.122072,
        0.123369,
        0.12297,
        0.121665,
        0.119878,
        0.118027,
        0.118638,
        0.118595,
        0.119708,
        0.119537,
        0.117333,
        0.116464,
        0.117616,
        0.141573,
        0.13874,
        0.117796,
        0.118835,
        0.120179,
        0.124973,
        0.131893,
        0.13919,
        0.147981,
        0.168255,
        0.201775,
        0.200513,
        0.165441,
        0.14198,
        0.132172,
        0.123315,
        0.11513,
        0.111032,
        0.109022,
        0.105338,
        0.103133,
        0.101481,
        0.0982448,
        0.0971099,
        0.0971305,
        0.096718,
        0.0945521,
        0.0942681,
        0.0944344,
        0.0933359,
        0.0907644,
        0.0916394,
        0.0906505,
        0.089143,
        0.0886024,
        0.0900856,
        0.0952615,
        0.0897061,
        0.0879125,
        0.0871857,
        0.087503,
        0.0860309,
        0.0852835,
        0.0846224,
        0.0845975,
        0.0867542,
        0.0847795,
        0.0841453,
        0.0841564,
        0.0829659,
        0.082448,
        0.0816694,
        0.0815577,
        0.0814046,
        0.0808317,
        0.0807721,
        0.0809333,
        0.080235,
        0.0790524,
        0.0784799,
        0.0783798,
        0.0778551,
        0.0770447,
        0.0770804,
        0.077307,
        0.0766047,
        0.0755174,
        0.0754584,
        0.0750341,
        0.0747952,
        0.0739574,
        0.0728182,
        0.072904,
        0.0737093,
        0.0734231,
        0.0740322,
        0.0751988,
        0.0750887,
        0.0746142,
        0.0732906,
        0.0727806,
        0.0769884,
        0.0751489,
        0.073007,
        0.0723382,
        0.0734202,
        0.0748534,
        0.0757032,
        0.0766551,
        0.077986,
        0.0795608,
        0.08003,
        0.0801021,
        0.0812211,
        0.0804325,
        0.0784376,
        0.0760896,
        0.0748519,
        0.0748994,
        0.0742067,
        0.074112,
        0.0735803,
        0.0732696,
        0.0735589,
        0.0729592,
        0.0716524,
        0.071941,
        0.0781993,
        0.0776712,
        0.0713353,
        0.0711896,
        0.0725903,
        0.0729766,
        0.0722029,
        0.0726226,
        0.0724787,
        0.0717721,
        0.0723174,
        0.0730374,
        0.073033,
        0.0732764,
        0.0738202,
        0.0742388,
        0.0751071,
        0.0754467,
        0.0759104,
        0.0767072,
        0.0784681,
        0.082611,
        0.0845623,
        0.0864309,
        0.0885708,
        0.0920624,
        0.0989778,
        0.109409,
        0.12098,
        0.132582,
        0.150169,
        0.171676,
        0.197636,
        0.225364,
        0.213386,
        0.19437,
        0.169951,
        0.14848,
        0.133699,
        0.120223,
        0.108326,
        0.0988916,
        0.0939357,
        0.0982994,
        0.0907174,
        0.0817248,
        0.0794918,
        0.0774993,
        0.076225,
        0.0749002,
        0.0735811,
        0.0724764,
        0.0705459,
        0.0697705,
        0.0697621,
        0.0693241,
        0.0685699,
        0.0683734,
        0.0677624,
        0.0668232,
        0.0657438,
        0.0657919,
        0.0661226,
        0.0651016,
        0.065227,
        0.0648216,
        0.0645097,
        0.0643602,
        0.0641771,
        0.0636384,
        0.0639142,
        0.0641934,
        0.0644561,
        0.0651103,
        0.0664933,
        0.0677076,
        0.0692379,
        0.0708777,
        0.0732223,
        0.0760117,
        0.0783867,
        0.0813819,
        0.0842697,
        0.086769,
        0.0950753,
        0.094434,
        0.0833469,
        0.0803561,
        0.0770855,
        0.0730709,
        0.0705027,
        0.0676299,
        0.0658941,
        0.0642717,
        0.0632736,
        0.0622248,
        0.0609057,
        0.0644428,
        0.0657367,
        0.0611581,
        0.0602866,
        0.05826,
        0.0580225,
        0.0576583,
        0.0577538,
        0.0571019,
        0.0568471,
        0.0572762,
        0.0579516,
        0.0630073,
        0.0618399,
        0.0571837,
        0.0570437,
        0.0567144,
        0.056525,
        0.0567212,
        0.0563569,
        0.0563606,
        0.055968,
        0.0562994,
        0.0560313,
        0.0567768,
        0.0562428,
        0.0561215,
        0.0561216,
        0.0561404,
        0.055541,
        0.0552144,
        0.0557528,
        0.0554819,
        0.0560672,
        0.0566756,
        0.0559816,
        0.0554675,
        0.0552896,
        0.0546889,
        0.0541333,
        0.0542726,
        0.0552818,
        0.0602233,
        0.0588104,
        0.0544619,
        0.0538228,
        0.0532031,
        0.0532956,
        0.0533694,
        0.053726,
        0.0532633,
        0.0540203,
        0.0539432,
        0.0539951,
        0.0535904,
        0.0532081,
        0.0536109,
        0.0539576,
        0.0541765,
        0.0542762,
        0.0551144,
        0.0551206,
        0.0558563,
        0.0610463,
        0.058783,
        0.0582195,
        0.0597214,
        0.0607313,
        0.0615529,
        0.0654611,
        0.0700387,
        0.074466,
        0.0830228,
        0.0974495,
        0.123307,
        0.175115,
        0.208809,
        0.148264,
        0.111274,
        0.090038,
        0.0805252,
        0.0720869,
        0.0682116,
        0.065116,
        0.063247,
        0.0615533,
        0.060318,
        0.0588151,
        0.0579971,
        0.0571352,
        0.0572585,
        0.0569769,
        0.0563513,
        0.0567559,
        0.0559503,
        0.0552454,
        0.0552641,
        0.0545531,
        0.0550165,
        0.054518,
        0.0536563,
        0.0539022,
        0.0543529,
        0.0541164,
        0.0535294,
        0.0534162,
        0.0532264,
        0.0530353,
        0.0536765,
        0.0530103,
        0.0526331,
        0.0531868,
        0.05259,
        0.0519664,
        0.0523283,
        0.0528538,
        0.0528798,
        0.0531757,
        0.0533075,
        0.0533548,
        0.0533693,
        0.0530463,
        0.0529749,
        0.0536293,
        0.053783,
        0.0541142,
        0.0544747,
        0.0547662,
        0.0543316,
        0.0549373,
        0.055927,
        0.0564961,
        0.0571397,
        0.0572322,
        0.0566465,
        0.0566772,
        0.057614,
        0.0580756,
        0.0577432,
        0.0584427,
        0.0587761,
        0.0588853,
        0.0593994,
        0.0611934,
        0.0622368,
        0.0632469,
        0.0646219,
        0.0674691,
        0.0693234,
        0.0712372,
        0.0731858,
        0.0774268,
        0.0825813,
        0.0892292,
        0.0982504,
        0.108903,
        0.113672,
        0.125465,
        0.134537,
        0.141678,
        0.152462,
        0.157026,
        0.159581,
        0.157066,
        0.15485,
        0.153055,
        0.144618,
        0.135015,
        0.126763,
        0.11946,
        0.111142,
        0.106136,
        0.106028,
        0.0958628,
        0.0833091,
        0.0796539,
        0.0769655,
        0.0748682,
        0.0732414,
        0.07374,
        0.0741602,
        0.0750272,
        0.0777424,
        0.0813065,
        0.0870319,
        0.0928958,
        0.115067,
        0.12247,
        0.109162,
        0.106544,
        0.101705,
        0.0948731,
        0.0870017,
        0.0799021,
        0.0742297,
        0.0700094,
        0.0668684,
        0.0641373,
        0.0619601,
        0.0597728,
        0.0596678,
        0.0599781,
        0.0568986,
        0.0568526,
        0.0559038,
        0.0550678,
        0.0546532,
        0.0538116,
        0.0533077,
        0.0538328,
        0.0544533,
        0.0526413,
        0.0531967,
        0.0612559,
        0.0601784,
        0.0516455,
        0.0519554,
        0.0521818,
        0.0520297,
        0.0517223,
        0.0517729,
        0.0519338,
        0.0517469,
        0.0514325,
        0.0516736,
        0.0517077,
        0.0518586,
        0.0513552,
        0.0520803,
        0.0515529,
        0.0507998,
        0.0506227,
        0.0507125,
        0.050492,
        0.0503429,
        0.050224,
        0.0501043,
        0.0500746,
        0.0497997,
        0.0485234,
        0.0482802,
        0.0481772,
        0.0494346,
        0.0494478,
        0.0486659,
        0.0482731,
        0.0477475,
        0.0479639,
        0.0481366,
        0.0476197,
        0.0478948,
        0.0480473,
        0.048317,
        0.0486506,
        0.0487791,
        0.0489045,
        0.0495605,
        0.0496118,
        0.0504495,
        0.0511775,
        0.0524692,
        0.055484,
        0.0575637,
        0.0579224,
        0.0604814,
        0.0606057,
        0.059074,
        0.0579651,
        0.0560262,
        0.0540637,
        0.0532496,
        0.0527792,
        0.0516697,
        0.0515869,
        0.0515123,
        0.0509511,
        0.0513752,
        0.0514283,
        0.0498322,
        0.0497406,
        0.05,
        0.0500278,
        0.0500896,
        0.0506106,
        0.0509017,
        0.0519333,
        0.0514768,
        0.049213,
        0.0502524,
        0.0495593,
        0.0495869,
        0.0508529,
        0.0497193,
        0.0490975,
        0.049001,
        0.0489717,
        0.0488687,
        0.0485732,
        0.0487927,
        0.0487143,
        0.0483943,
        0.0486678,
        0.0494975,
        0.0498056,
        0.0489166,
        0.0481318,
        0.0484644,
        0.0481946,
        0.047535,
        0.0475367,
        0.0473834,
        0.0470451,
        0.0477175,
        0.0477672,
        0.047321,
        0.0469751,
        0.0468814,
        0.0473331,
        0.0473803,
        0.0502159,
        0.0495777,
        0.0467643,
        0.0470333,
        0.0472712,
        0.0469808,
        0.0486164,
        0.0485529,
        0.0481703,
        0.0484377,
        0.0487595,
        0.0495075,
        0.0498881,
        0.0500721,
        0.0501581,
        0.0508119,
        0.0506783,
        0.0513583,
        0.0518811,
        0.0517995,
        0.0509501,
        0.0501521,
        0.0496775,
        0.0494442,
        0.0495545,
        0.0501973,
        0.0501331,
        0.0497161,
        0.0500885,
        0.0501097,
        0.0504851,
        0.0499291,
        0.0500189,
        0.0500788,
        0.0498827,
        0.0497321,
        0.0495869,
        0.0494538,
        0.0495854,
        0.0496713,
        0.0492562,
        0.0492399,
        0.0492085,
        0.0491526,
        0.049408,
        0.0533481,
        0.0529372,
        0.0496579,
        0.0503927,
        0.0509663,
        0.0508183,
        0.0506076,
        0.0498749,
        0.0489313,
        0.0484748,
        0.0485083,
        0.0481932,
        0.048348,
        0.0476219,
        0.0478815,
        0.0477195,
        0.0477944,
        0.0479503,
        0.0483393,
        0.0478803,
        0.0481192,
        0.0487443,
        0.0492011,
        0.0501498,
        0.0509648,
        0.0516976,
        0.0542873,
        0.0569323,
        0.0615698,
        0.0699307,
        0.082448,
        0.097784,
        0.113371,
        0.11982,
        0.111027,
        0.0950598,
        0.0805204,
        0.0706742,
        0.0634583,
        0.0598415,
        0.062037,
        0.0584518,
        0.0540082,
        0.0539197,
        0.0621837,
        0.0609795,
        0.051986,
        0.0519288,
        0.0519863,
        0.0520233,
        0.051336,
        0.0510111,
        0.0508233,
        0.0511556,
        0.0504285,
        0.050259,
        0.0507511,
        0.0511091,
        0.0514665,
        0.051928,
        0.0518153,
        0.0518462,
        0.0527501,
        0.0539358,
        0.0549954,
        0.056189,
        0.0560263,
        0.055521,
        0.0542996,
        0.053693,
        0.0528388,
        0.0516157,
        0.0513375,
        0.0508096,
        0.0502316,
        0.0505829,
        0.0505006,
        0.0500521,
        0.0499944,
        0.0498434,
        0.0499071,
        0.0505976,
        0.0503786,
        0.0506582,
        0.0512542,
        0.0518744,
        0.0521013,
        0.0524919,
        0.0529611,
        0.0543496,
        0.0558952,
        0.0567773,
        0.0595977,
        0.0630636,
        0.0673906,
        0.0707448,
        0.0698025,
        0.0674261,
        0.0642511,
        0.0614486,
        0.065065,
        0.0631628,
        0.0558879,
        0.0554788,
        0.0548474,
        0.0535489,
        0.0530127,
        0.0534974,
        0.053511,
        0.0529638,
        0.0527417,
        0.0532374,
        0.0534764,
        0.0540872,
        0.0542009,
        0.0544971,
        0.0555571,
        0.0564221,
        0.0571515,
        0.0592778,
        0.0614561,
        0.0630457,
        0.0650664,
        0.0658108,
        0.0648203,
        0.0629335,
        0.0609087,
        0.058437,
        0.0574731,
        0.0565441,
        0.0564588,
        0.0561091,
        0.0558444,
        0.0548869,
        0.0548873,
        0.0548846,
        0.0543348,
        0.0540634,
        0.0544577,
        0.0550479,
        0.0611304,
        0.0594899,
        0.0549534,
        0.0576875,
        0.0591945,
        0.0591265,
        0.061556,
        0.0664321,
        0.0686259,
        0.0686932,
        0.0693853,
        0.0678112,
        0.0651543,
        0.0625251,
        0.0604375,
        0.0583586,
        0.0571388,
        0.0573091,
        0.056694,
        0.0556871,
        0.0557425,
        0.05545,
        0.0562648,
        0.0589547,
        0.0580627,
        0.0629011,
        0.0637174,
        0.0599736,
        0.0606834,
        0.0627484,
        0.067605,
        0.0699195,
        0.0703792,
        0.0748,
        0.0785211,
        0.08155,
        0.0802393,
        0.0751473,
        0.0706179,
        0.068296,
        0.0667695,
        0.0639926,
        0.0632871,
        0.0626107,
        0.0625672,
        0.0620395,
        0.0626403,
        0.0632732,
        0.0640295,
        0.0637954,
        0.0658451,
        0.0675757,
        0.0677903,
        0.0691267,
        0.0729803,
        0.0768253,
        0.0816072,
        0.0870427,
        0.0940114,
        0.0966502,
        0.0933966,
        0.0898162,
        0.0845952,
        0.0768828,
        0.0738612,
        0.0715816,
        0.0793339,
        0.0804347,
        0.0690117,
        0.0687677,
        0.0694182,
        0.0705509,
        0.0711243,
        0.0783942,
        0.0856429,
        0.082796,
        0.0787303,
        0.0822254,
        0.0882672,
        0.0963604,
        0.106082,
        0.112899,
        0.116289,
        0.110131,
        0.100933,
        0.094775,
        0.0921388,
        0.0900669,
        0.0879807,
        0.0870246,
        0.0849356,
        0.0841994,
        0.0848589,
        0.0852173,
        0.0893498,
        0.095135,
        0.0977294,
        0.104403,
        0.108567,
        0.115431,
        0.128005,
        0.145543,
        0.163824,
        0.17206,
        0.165036,
        0.154469,
        0.139916,
        0.133795,
        0.131521,
        0.130681,
        0.132259,
        0.130156,
        0.132057,
        0.136464,
        0.141949,
        0.148234,
        0.153468,
        0.156938,
        0.181387,
        null,
        0.181515,
        0.161334,
        0.153138,
        0.149669,
        0.152455,
        0.160358,
        0.17664,
        0.188865,
        0.206834,
        0.228959,
        0.250906,
        0.235844,
        0.214704,
        0.1862,
        0.161603,
        0.146422,
        0.136824,
        0.124675,
        0.111515,
        0.104063,
        0.0976343,
        0.0946664,
        0.0934483,
        0.0926621,
        0.0902941,
        0.0896725,
        0.0900055,
        0.091034,
        0.0926475,
        0.0935115,
        0.0958819,
        0.0968054,
        0.102037,
        0.108004,
        0.114924,
        0.125045,
        0.137042,
        0.152826,
        0.175601,
        0.208344,
        0.218866,
        0.179027,
        0.158167,
        0.141054,
        0.126035,
        0.115001,
        0.106654,
        0.100316,
        0.0945337,
        0.0884174,
        0.0925614,
        0.0880336,
        0.0821403,
        0.0796703,
        0.076313,
        0.0744201,
        0.0736627,
        0.0723815,
        0.0722532,
        0.0707171,
        0.0694707,
        0.0682863,
        0.067145,
        0.0670233,
        0.0664238,
        0.0640076,
        0.0625892,
        0.0624736,
        0.0625673,
        0.0623918,
        0.0624652,
        0.0615587,
        0.0612801,
        0.0599129,
        0.0590895,
        0.0595402,
        0.059194,
        0.0585999,
        0.0585045,
        0.0580732,
        0.0580703,
        0.0611709,
        0.0598803,
        0.0568127,
        0.0565532,
        0.0566299,
        0.0564678,
        0.0564103,
        0.0565896,
        0.0564315,
        0.0562792,
        0.0568468,
        0.0570514,
        0.0564581,
        0.0565327,
        0.0567152,
        0.0605693,
        0.058778,
        0.0560979,
        0.0557156,
        0.0556426,
        0.0560149,
        0.0568474,
        0.0572592,
        0.0571217,
        0.0566717,
        0.0556244,
        0.0556067,
        0.0639581,
        0.0639885,
        0.0566963,
        0.0563112,
        0.0564467,
        0.0563352,
        0.0565256,
        0.0567468,
        0.0567324,
        0.0562218,
        0.056599,
        0.0568556,
        0.0559224,
        0.0556939,
        0.0563322,
        0.055578,
        0.0556329,
        0.0560861,
        0.0557889,
        0.0551855,
        0.0552325,
        0.0558153,
        0.0558392,
        0.0563981,
        0.0552733,
        0.054391,
        0.0546376,
        0.0551411,
        0.0554324,
        0.0549218,
        0.0540219,
        0.0537438,
        0.0542068,
        0.054156,
        0.0540044,
        0.054171,
        0.0543548,
        0.054024,
        0.0531418,
        0.052668,
        0.0526636,
        0.0535274,
        0.0535435,
        0.0552266,
        0.0536565,
        0.0529663,
        0.0532339,
        0.0539173,
        0.0534764,
        0.053756,
        0.0545358,
        0.0538524,
        0.0540504,
        0.0543058,
        0.0551668,
        0.054784,
        0.0544564,
        0.0544135,
        0.0545969,
        0.0542617,
        0.0538168,
        0.0539503,
        0.0582073,
        0.0591859,
        0.0546095,
        0.055248,
        0.0553752,
        0.0553831,
        0.0555753,
        0.0556549,
        0.0565153,
        0.0564219,
        0.0568284,
        0.0568649,
        0.0574288,
        0.0580376,
        0.0583807,
        0.0589196,
        0.0585568,
        0.0587672,
        0.0596962,
        0.0600661,
        0.0622012,
        0.0631239,
        0.0620623,
        0.0615449,
        0.0629737,
        0.0632739,
        0.0588787,
        0.0584732,
        0.0583282,
        0.0580123,
        0.0576862,
        0.0579697,
        0.058364,
        0.058133,
        0.0575202,
        0.0574795,
        0.0576164,
        0.0586526,
        0.0600206,
        0.0594348,
        0.0588591,
        0.0590114,
        0.0590524,
        0.0598305,
        0.0620581,
        0.062317,
        0.0623903,
        0.0632593,
        0.0642449,
        0.0643537,
        0.0627088,
        0.0614071,
        0.0605445,
        0.0598478,
        0.0591456,
        0.0606304,
        0.0608404,
        0.0568187,
        0.0554187,
        0.0550572,
        0.0559037,
        0.0652657,
        0.0647211,
        0.0570054,
        0.0566319,
        0.0563951,
        0.0558423,
        0.0557258,
        0.0552201,
        0.0555191,
        0.0550069,
        0.0554234,
        0.0559581,
        0.0556105,
        0.055451,
        0.0558475,
        0.055485,
        0.0560359,
        0.0563902,
        0.0567707,
        0.0573989,
        0.057319,
        0.056414,
        0.0569901,
        0.0569309,
        0.0576416,
        0.0609531,
        0.0611845,
        0.0572804,
        0.0576898,
        0.0574808,
        0.0570204,
        0.0567402,
        0.0565239,
        0.058158,
        0.0656312,
        0.0658297,
        0.0572571,
        0.056432,
        0.0573923,
        0.057914,
        0.0566808,
        0.0561576,
        0.0569292,
        0.0575375,
        0.0567128,
        0.0562728,
        0.0557872,
        0.0557742,
        0.0553756,
        0.0555656,
        0.0564883,
        0.0566177,
        0.0562947,
        0.055417,
        0.0556437,
        0.0590669,
        0.057385,
        0.0552388,
        0.0543908,
        0.054826,
        0.0554105,
        0.0554243,
        0.0547023,
        0.0550405,
        0.0545592,
        0.0540415,
        0.0545459,
        0.0561394,
        0.0648924,
        0.0651847,
        0.0551196,
        0.0556796,
        0.0554154,
        0.0557338,
        0.0557725,
        0.0558079,
        0.0552135,
        0.0550662,
        0.0560384,
        0.0569155,
        0.0560205,
        0.0559627,
        0.0558129,
        0.0578821,
        0.0576872,
        0.0564175,
        0.0568415,
        0.0569381,
        0.0568155,
        0.0572927,
        0.0572968,
        0.0571521,
        0.0569854,
        0.0573764,
        0.0585182,
        0.0584859,
        0.0581941,
        0.0593951,
        0.0589089,
        0.0577915,
        0.0582798,
        0.0580245,
        0.0581745,
        0.0583288,
        0.0587979,
        0.0591247,
        0.0587936,
        0.0583249,
        0.05855,
        0.058185,
        0.0573376,
        0.0575378,
        0.0575718,
        0.0584008,
        0.0584603,
        0.0582033,
        0.0598263,
        0.0597732,
        0.0615446,
        0.0614476,
        0.058175,
        0.0586417,
        0.0585049,
        0.0589933,
        0.0590102,
        0.0586885,
        0.0643964,
        0.0635121,
        0.0571539,
        0.057694,
        0.0580244,
        0.0575282,
        0.0615345,
        0.061412,
        0.0567598,
        0.0569461,
        0.0572966,
        0.0575868,
        0.0573624,
        0.0583628,
        0.058305,
        0.0584377,
        0.058524,
        0.0581267,
        0.0584314,
        0.0586405,
        0.0581611,
        0.0584085,
        0.0584491,
        0.0590924,
        0.0597565,
        0.0602795,
        0.0605733,
        0.0607072,
        0.061639,
        0.0622325,
        0.062875,
        0.0632848,
        0.0644791,
        0.0656573,
        0.0674042,
        0.0696624,
        0.0725074,
        0.0763564,
        0.0810884,
        0.0832743,
        0.083998,
        0.0816268,
        0.0776628,
        0.0743014,
        0.0716026,
        0.0702448,
        0.0683498,
        0.0675608,
        0.0675154,
        0.0774724,
        0.0744019,
        0.0641274,
        0.0637807,
        0.0631228,
        0.062437,
        0.0626082,
        0.0626766,
        0.0626121,
        0.062104,
        0.0621132,
        0.0611555,
        0.0606384,
        0.0606926,
        0.0614935,
        0.061283,
        0.0608109,
        0.0613868,
        0.0613826,
        0.0607493,
        0.0603865,
        0.0600016,
        0.059853,
        0.0597575,
        0.0604632,
        0.0597411,
        0.0601949,
        0.0680122,
        0.0694694,
        0.0601783,
        0.0688014,
        0.0661687,
        0.0612405,
        0.0652344,
        0.0661493,
        0.0603228,
        0.059932,
        0.0611023,
        0.062334,
        0.0615569,
        0.0618605,
        0.0617807,
        0.0610205,
        0.0612378,
        0.0614088,
        0.0613488,
        0.0618223,
        0.0621455,
        0.0622153,
        0.062611,
        0.0626946,
        0.062456,
        0.063001,
        0.0635225,
        0.0641914,
        0.0643733,
        0.0631614,
        0.0629521,
        0.0635161,
        0.0643737,
        0.0646648,
        0.0639489,
        0.0641464,
        0.0646798,
        0.0652606,
        0.0642174,
        0.0634563,
        0.0636948,
        0.0644476,
        0.0660553,
        0.0663099,
        0.0651382,
        0.0650654,
        0.0647915,
        0.0645515,
        0.0643782,
        0.0667917,
        0.0674246,
        0.0654884,
        0.066329,
        0.065518,
        0.0644426,
        0.0652178,
        0.0654515,
        0.0645206,
        0.0642633,
        0.0655287,
        0.0657532,
        0.0650455,
        0.06458,
        0.0640952,
        0.0644889,
        0.0645911,
        0.0637478,
        0.0644841,
        0.0641962,
        0.0635925,
        0.0635897,
        0.0635348,
        0.0638749,
        0.0640268,
        0.0640428,
        0.063543,
        0.0640754,
        0.0637901,
        0.0639148,
        0.0636165,
        0.063719,
        0.0647133,
        0.0652195,
        0.0665305,
        0.0669249,
        0.0654734,
        0.0646582,
        0.065037,
        0.0654905,
        0.0655197,
        0.0652106,
        0.0666728,
        0.0751372,
        0.0775963,
        0.0671299,
        0.066715,
        0.0655696,
        0.0666191,
        0.0675184,
        0.0683314,
        0.0688351,
        0.0683187,
        0.0679548,
        0.0678105,
        0.0686327,
        0.0692797,
        0.070402,
        0.0716713,
        0.0728645,
        0.0704653,
        0.070695,
        0.0702312,
        0.0699736,
        0.0712551,
        0.071681,
        0.071847,
        0.0712382,
        0.0709288,
        0.0711406,
        0.0700427,
        0.0703524,
        0.07075,
        0.0714029,
        0.071733,
        0.0714789,
        0.0715461,
        0.0718494,
        0.0716075,
        0.0718302,
        0.0723317,
        0.0720064,
        0.0707785,
        0.0715385,
        0.0722847,
        0.0725253,
        0.0719344,
        0.0726994,
        0.0762875,
        0.0757495,
        0.0729477,
        0.073487,
        0.0741439,
        0.0741113,
        0.0756948,
        0.0764531,
        0.0761866,
        0.076096,
        0.0768158,
        0.078279,
        0.0792389,
        0.0806988,
        0.0822644,
        0.084242,
        0.0870592,
        0.0906076,
        0.0949335,
        0.099565,
        0.103163,
        0.110639,
        0.123268,
        0.137304,
        0.155736,
        0.184544,
        0.22481,
        0.272275,
        0.205421,
        0.17237,
        0.149327,
        0.136165,
        0.124902,
        0.115499,
        0.108,
        0.103416,
        0.0998682,
        0.0960079,
        0.0947938,
        0.0939673,
        0.0928228,
        0.0906672,
        0.0894103,
        0.0882836,
        0.0881597,
        0.087076,
        0.0862284,
        0.085504,
        0.0856028,
        0.0871051,
        0.0856673,
        0.0842701,
        0.0847051,
        0.0848926,
        0.0846574,
        0.0837378,
        0.0833242,
        0.0825714,
        0.082151,
        0.0810671,
        0.080958,
        0.08052,
        0.080042,
        0.0807955,
        0.0820864,
        0.0802421,
        0.0787007,
        0.0790474,
        0.0798456,
        0.0812663,
        0.0805804,
        0.0808072,
        0.0798786,
        0.0804609,
        0.0810398,
        0.081619,
        0.0810007,
        0.0806457,
        0.08058,
        0.0797469,
        0.0798797,
        0.0799463,
        0.0805808,
        0.0797945,
        0.080442,
        0.0801926,
        0.0793492,
        0.0808016,
        0.082124,
        0.0829326,
        0.0830432,
        0.0846771,
        0.0849298,
        0.0838245,
        0.0839869,
        0.0854168,
        0.084318,
        0.0846651,
        0.0846171,
        0.0845562,
        0.084634,
        0.0860398,
        0.0876829,
        0.0873877,
        0.0871259,
        0.08655,
        0.0873017,
        0.0882563,
        0.0886275,
        0.0889526,
        0.0880322,
        0.0880508,
        0.0887195,
        0.0879546,
        0.0876005,
        0.086966,
        0.0875557,
        0.0888803,
        0.0894243,
        0.0877692,
        0.0872257,
        0.0883545,
        0.0895229,
        0.0904962,
        0.0906749,
        0.0892402,
        0.0889614,
        0.0881689,
        0.0867154,
        0.0867208,
        0.0881544,
        0.0892595,
        0.0898874,
        0.0904969,
        0.0884208,
        0.0882923,
        0.0898664,
        0.0902742,
        0.0900261,
        0.0902299,
        0.0890792,
        null,
        0.273222,
        0.28088,
        0.297014,
        0.309577,
        0.311387,
        0.300463,
        0.286842,
        0.326213,
        0.313405,
        0.288351,
        0.266553,
        0.299656,
        0.293044,
        0.260281,
        0.253199,
        0.256021,
        0.256072,
        0.261662,
        0.250615,
        0.246898,
        0.254965,
        0.257876,
        0.249678,
        0.246124,
        0.251521,
        0.253067,
        0.251801,
        0.248415,
        0.251373,
        0.246563,
        0.248623,
        0.25056,
        0.242699,
        0.236305,
        0.241926,
        0.243928,
        0.242601,
        0.242417,
        0.23514,
        0.241167,
        0.246112,
        0.249174,
        0.251647,
        0.259474,
        0.25486,
        0.250777,
        0.243739,
        0.242743,
        0.243209,
        0.251189,
        0.244984,
        0.242974,
        0.248851,
        0.253867,
        0.253869,
        0.268401,
        0.258245,
        0.265287,
        0.267049,
        0.266617,
        0.28083,
        0.297466,
        null,
        0.322307,
        0.344122,
        0.331447,
        0.325197,
        0.311438,
        0.289584,
        0.286249,
        0.280955,
        0.284854,
        0.29079,
        0.299444,
        0.265988,
        0.273722,
        0.274867,
        0.264166,
        0.26405,
        0.266455,
        0.256537,
        0.25575,
        0.251723,
        0.248396,
        0.243255,
        0.235603,
        0.238718,
        0.243324,
        0.239067,
        0.24364,
        0.242972,
        0.226735,
        0.231571,
        0.233256,
        0.225451,
        0.227508,
        0.236032,
        0.231643,
        0.226502,
        0.230338,
        0.228924,
        0.2359,
        0.240764,
        0.270279,
        0.289905,
        0.268329,
        0.257656,
        0.248392,
        0.237965,
        0.225493,
        0.220512,
        0.215675,
        0.206142,
        0.20302,
        0.200612,
        0.204408,
        0.201163,
        0.213417,
        0.203475,
        0.192178,
        0.187653,
        0.187852,
        0.19304,
        0.201204,
        0.197722,
        0.194833,
        0.197661,
        0.207487,
        0.223364,
        0.249178,
        0.303261,
        0.29158,
        0.253807,
        0.248028,
        0.27648,
        0.328259,
        0.25045,
        0.215329,
        0.201189,
        0.190035,
        0.179498,
        0.17211,
        0.169309,
        0.170618,
        0.167002,
        0.16463,
        0.159503,
        0.159148,
        0.162052,
        0.161927,
        0.156012,
        0.156185,
        0.158096,
        0.15853,
        0.161302,
        0.161873,
        0.157676,
        0.154853,
        0.165589,
        0.160556,
        0.153333,
        0.154111,
        0.1583,
        0.154649,
        0.1531,
        0.152521,
        0.156724,
        0.157561,
        0.157349,
        0.154727,
        0.154855,
        0.156146,
        0.153786,
        0.153196,
        0.152001,
        0.154552,
        0.154948,
        0.150217,
        0.147505,
        0.148076,
        0.151419,
        0.152045,
        0.150467,
        0.152451,
        0.15292,
        0.152221,
        0.152269,
        0.154949,
        0.153949,
        0.157425,
        0.160495,
        0.157934,
        0.156669,
        0.156663,
        0.158215,
        0.162113,
        0.167257,
        0.167129,
        0.176436,
        0.187677,
        0.200112,
        0.218391,
        0.28677,
        0.345145,
        0.307765,
        0.27122,
        0.235199,
        0.213359,
        0.195725,
        0.181215,
        0.175222,
        0.16952,
        0.164637,
        0.160178,
        0.157702,
        0.156936,
        0.168792,
        0.169346,
        0.150753,
        0.150849,
        0.150405,
        0.155661,
        0.153741,
        0.1505,
        0.144449,
        0.139797,
        0.139904,
        0.13942,
        0.144989,
        0.144307,
        0.14195,
        0.14308,
        0.142703,
        0.143491,
        0.14187,
        0.140638,
        0.141057,
        0.142378,
        0.144703,
        0.142047,
        0.140439,
        0.140404,
        0.140201,
        0.140389,
        0.141093,
        0.138946,
        0.141135,
        0.146696,
        0.14872,
        0.147034,
        0.144709,
        0.147104,
        0.151404,
        0.165875,
        0.17064,
        0.162588,
        0.166342,
        0.18156,
        0.198131,
        0.213619,
        0.236867,
        0.274018,
        0.330265,
        0.282162,
        0.255825,
        0.233636,
        0.2114,
        0.193269,
        0.180403,
        0.170784,
        0.164552,
        0.163211,
        0.157885,
        0.15323,
        0.150977,
        0.146866,
        0.141433,
        0.141888,
        0.142943,
        0.136636,
        0.135173,
        0.132163,
        0.129014,
        0.128137,
        0.129329,
        0.1301,
        0.127622,
        0.127861,
        0.12793,
        0.133798,
        0.131711,
        0.122914,
        0.122257,
        0.123169,
        0.121931,
        0.119616,
        0.118276,
        0.118078,
        0.119312,
        0.119295,
        0.119059,
        0.116619,
        0.118231,
        0.117399,
        0.11559,
        0.116026,
        0.116981,
        0.117338,
        0.116489,
        0.113815,
        0.113226,
        0.115442,
        0.118939,
        0.117719,
        0.115975,
        0.117296,
        0.115709,
        0.115858,
        0.116818,
        0.118373,
        0.117256,
        0.117896,
        0.117069,
        0.116892,
        0.118915,
        0.118852,
        0.120001,
        0.120428,
        0.119169,
        0.120337,
        0.119167,
        0.118391,
        0.117368,
        0.116972,
        0.119185,
        0.121338,
        0.12016,
        0.1219,
        0.123373,
        0.124083,
        0.122727,
        0.121469,
        0.119762,
        0.120168,
        0.121018,
        0.120196,
        0.11919,
        0.123025,
        0.128598,
        0.128372,
        0.123361,
        0.122796,
        0.121749,
        0.144022,
        0.142123,
        0.121425,
        0.119182,
        0.118132,
        0.119041,
        0.118421,
        0.118748,
        0.119937,
        0.119277,
        0.126661,
        0.126456,
        0.120082,
        0.119668,
        0.120206,
        0.12145,
        0.121375,
        0.119909,
        0.125588,
        0.125617,
        0.122599,
        0.125234,
        0.126007,
        0.12605,
        0.122006,
        0.118772,
        0.120343,
        0.122035,
        0.121461,
        0.123229,
        0.125267,
        0.124895,
        0.124499,
        0.12509,
        0.126673,
        0.124435,
        0.123956,
        0.125776,
        0.126374,
        0.128566,
        0.131158,
        0.131607,
        0.12869,
        0.129152,
        0.13118,
        0.13527,
        0.150762,
        0.15095,
        0.13268,
        0.134193,
        0.132987,
        0.134581,
        0.134895,
        0.138251,
        0.138531,
        0.140302,
        0.139923,
        0.140924,
        0.142236,
        0.168232,
        0.170666,
        0.148904,
        0.165397,
        0.165182,
        0.15588,
        0.160528,
        0.160292,
        0.165276,
        0.17439,
        0.179623,
        0.184648,
        0.194272,
        0.210482,
        0.230858,
        0.263417,
        0.269105,
        0.251309,
        0.217031,
        0.198825,
        0.191208,
        0.181791,
        0.174283,
        0.170123,
        0.166904,
        0.16386,
        0.159978,
        0.154764,
        0.152376,
        0.153423,
        0.152095,
        0.15186,
        0.149239,
        0.148678,
        0.147403,
        0.146333,
        0.146768,
        0.147649,
        0.146169,
        0.147937,
        0.147342,
        0.145088,
        0.142751,
        0.145855,
        0.149133,
        0.147471,
        0.144526,
        0.150701,
        0.156196,
        0.147272,
        0.146501,
        0.146442,
        0.148187,
        0.147752,
        0.148212,
        0.148357,
        0.146891,
        0.146843,
        0.14714,
        0.147432,
        0.150318,
        0.150218,
        0.149281,
        0.149534,
        0.173062,
        0.174341,
        0.150787,
        0.148728,
        0.147968,
        0.148551,
        0.152795,
        0.154563,
        0.15441,
        0.154638,
        0.15532,
        0.157834,
        0.161693,
        0.158878,
        0.158434,
        0.162391,
        0.166441,
        0.167498,
        0.168808,
        0.170745,
        0.179175,
        0.18431,
        0.194187,
        0.201727,
        0.209273,
        0.266796,
        0.286889,
        0.253722,
        0.24641,
        0.23311,
        0.224565,
        0.21619,
        0.21862,
        0.20793,
        0.199459,
        0.197541,
        0.199886,
        0.197487,
        0.19414,
        0.19621,
        0.192055,
        0.186716,
        0.189517,
        0.197006,
        0.196119,
        0.197293,
        0.197573,
        0.19365,
        0.190697,
        0.192776,
        0.192741,
        0.192377,
        0.196327,
        0.198375,
        0.203779,
        0.19938,
        0.196607,
        0.202987,
        0.19929,
        0.19539,
        0.198432,
        0.201054,
        0.200679,
        0.205815,
        0.204684,
        0.20864,
        0.206323,
        0.212413,
        0.208057,
        0.208588,
        0.21226,
        0.21805,
        0.222509,
        0.213997,
        0.208468,
        0.208912,
        0.214305,
        0.218118,
        0.217905,
        0.217507,
        0.217203,
        0.230832,
        0.224767,
        0.230938,
        0.231348,
        0.231964,
        0.233877,
        0.234205,
        0.244994,
        0.251977,
        0.261047,
        0.278311,
        0.264072,
        0.26888,
        0.267084,
        0.275333,
        0.273122,
        0.276751,
        0.281093,
        0.284368,
        0.300276,
        0.329383
    ]
}