GET /api/ishell_4517nm_5232nm_vstar_do_tau/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.51663091812328,
        4.516650943790388,
        4.516670969457497,
        4.516690995124605,
        4.516711020791713,
        4.516731046458821,
        4.516751072125929,
        4.516771097793038,
        4.516791123460146,
        4.516811149127254,
        4.51683165159596,
        4.516851677263068,
        4.516871702930176,
        4.516891728597285,
        4.516911754264393,
        4.516931779931501,
        4.516951805598609,
        4.516971831265717,
        4.516991856932825,
        4.517011882599934,
        4.517031908267042,
        4.51705193393415,
        4.5170719596012585,
        4.517091985268366,
        4.5172321649381235,
        4.517252190605232,
        4.517272216272341,
        4.517292241939448,
        4.517312267606557,
        4.517332293273665,
        4.517352318940773,
        4.517372344607882,
        4.517392370274989,
        4.517412395942098,
        4.517432421609206,
        4.517452447276314,
        4.517472472943422,
        4.5174924986105305,
        4.517512524277639,
        4.517532549944747,
        4.518311643755576,
        4.518331669422683,
        4.518351695089792,
        4.5183717207569,
        4.51839126962241,
        4.518411295289519,
        4.518431320956626,
        4.518451346623735,
        4.518471372290843,
        4.518490921156354,
        4.518510946823461,
        4.51853097249057,
        4.518550998157678,
        4.518571023824786,
        4.518590572690297,
        4.518610598357405,
        4.518630624024513,
        4.5186506496916214,
        4.518670198557132,
        4.5186902242242395,
        4.518710249891348,
        4.518730275558456,
        4.518749824423966,
        4.518769850091075,
        4.518809901425291,
        4.518829450290801,
        4.51884947595791,
        4.5188695016250175,
        4.518889527292126,
        4.5189090761576365,
        4.518929101824745,
        4.518949127491853,
        4.518968676357363,
        4.518988702024472,
        4.519008727691579,
        4.519028753358688,
        4.519048302224198,
        4.519068327891307,
        4.5190883535584145,
        4.519107902423925,
        4.5191279280910335,
        4.519147953758141,
        4.5191675026236515,
        4.51918752829076,
        4.519207553957868,
        4.519227579624976,
        4.519247128490487,
        4.519267154157595,
        4.519287179824703,
        4.519306728690213,
        4.519326754357322,
        4.519346303222832,
        4.51936632888994,
        4.5193863545570485,
        4.519405903422559,
        4.5194259290896674,
        4.520159249947105,
        4.520179275614214,
        4.520198824479724,
        4.520218850146832,
        4.520238399012342,
        4.520258424679451,
        4.520277973544961,
        4.520297999212069,
        4.520317548077579,
        4.520337573744688,
        4.520357122610198,
        4.520377148277307,
        4.520396697142817,
        4.520416722809925,
        4.520436271675435,
        4.520456297342544,
        4.520475846208054,
        4.520495871875162,
        4.520515420740672,
        4.520535446407781,
        4.520554995273291,
        4.520574544138801,
        4.52059456980591,
        4.52061411867142,
        4.520634144338528,
        4.520653693204038,
        4.520673718871147,
        4.520693267736657,
        4.520712816602168,
        4.520732842269275,
        4.520752391134786,
        4.520772416801894,
        4.520791965667405,
        4.520811991334513,
        4.520831540200024,
        4.520851089065534,
        4.520871114732642,
        4.520890663598152,
        4.520910689265261,
        4.520930238130771,
        4.520949786996281,
        4.520969812663389,
        4.5209893615289,
        4.521008910394411,
        4.521028936061518,
        4.521048484927029,
        4.521068510594137,
        4.521088059459648,
        4.521107608325158,
        4.521127633992266,
        4.521147182857776,
        4.521166731723286,
        4.521186757390395,
        4.521206306255905,
        4.521225855121416,
        4.521245880788524,
        4.521265429654035,
        4.521284978519545,
        4.521305004186653,
        4.522111275688557,
        4.5221308245540675,
        4.522150373419578,
        4.522169922285088,
        4.522189947952196,
        4.522209496817706,
        4.522229045683217,
        4.522248594548727,
        4.522268143414237,
        4.522287692279748,
        4.522307717946856,
        4.522327266812367,
        4.522346815677877,
        4.522366364543387,
        4.522385913408898,
        4.522405462274408,
        4.5224250111399185,
        4.522445036807027,
        4.522464585672537,
        4.522484134538048,
        4.522503683403558,
        4.5225232322690685,
        4.522542781134579,
        4.522562330000089,
        4.5225818788656,
        4.52260142773111,
        4.522621453398218,
        4.522641002263728,
        4.522660551129238,
        4.522680099994749,
        4.522699648860259,
        4.5227191977257695,
        4.52273874659128,
        4.52275829545679,
        4.522777844322301,
        4.522797393187811,
        4.522816942053321,
        4.522836490918832,
        4.522856039784342,
        4.522876065451451,
        4.522895614316961,
        4.522915163182471,
        4.522934712047982,
        4.522954260913492,
        4.522973809779002,
        4.522993358644513,
        4.523012907510023,
        4.5230324563755335,
        4.523052005241044,
        4.523071554106554,
        4.523091102972065,
        4.523110651837575,
        4.523130200703085,
        4.523149749568596,
        4.523169298434106,
        4.5231888472996165,
        4.523208396165127,
        4.523227945030637,
        4.5232474938961476,
        4.523267042761658,
        4.523949822649728,
        4.523969371515238,
        4.523988920380749,
        4.524008469246259,
        4.524028018111769,
        4.524047566977281,
        4.524067115842791,
        4.524086187906703,
        4.5241057367722135,
        4.524125285637724,
        4.524144834503234,
        4.524164383368745,
        4.524183932234255,
        4.524203004298168,
        4.524222553163678,
        4.524242102029189,
        4.524261650894699,
        4.5242811997602095,
        4.52430074862572,
        4.524319820689632,
        4.524339369555142,
        4.524358918420653,
        4.524378467286163,
        4.5243980161516735,
        4.5244170882155865,
        4.524436637081097,
        4.524456185946607,
        4.524475734812118,
        4.524495283677628,
        4.52451435574154,
        4.5245339046070505,
        4.524553453472561,
        4.524573002338071,
        4.524592074401984,
        4.524611623267495,
        4.524631172133005,
        4.524650720998515,
        4.524669793062428,
        4.524689341927938,
        4.524708890793448,
        4.524728439658959,
        4.524747511722872,
        4.524767060588382,
        4.524786609453892,
        4.524806158319403,
        4.524825230383315,
        4.524844779248825,
        4.524864328114336,
        4.524883400178249,
        4.524902949043759,
        4.5249224979092695,
        4.52494204677478,
        4.524961118838692,
        4.524980667704202,
        4.525000216569713,
        4.525019288633626,
        4.525038837499136,
        4.5250583863646465,
        4.525077458428559,
        4.525097007294069,
        4.525116556159579,
        4.5251356282234925,
        4.525155177089003,
        4.525174725954513,
        4.525949051749363,
        4.525968123813276,
        4.525987672678786,
        4.526006744742698,
        4.526026293608209,
        4.526045365672122,
        4.526064914537632,
        4.526083986601544,
        4.526103535467055,
        4.526122607530968,
        4.526142156396478,
        4.52616122846039,
        4.526180777325901,
        4.526199849389814,
        4.526219398255324,
        4.526238470319236,
        4.526258019184747,
        4.52627709124866,
        4.52629664011417,
        4.526315712178082,
        4.5263352610435925,
        4.526354333107506,
        4.526373881973016,
        4.526392954036928,
        4.526412026100841,
        4.5264315749663515,
        4.526450647030264,
        4.526470195895774,
        4.526489267959687,
        4.5265088168251975,
        4.52652788888911,
        4.52654743775462,
        4.526566509818533,
        4.526585581882445,
        4.526605130747956,
        4.526624202811868,
        4.526643751677378,
        4.526662823741291,
        4.526681895805203,
        4.526701444670714,
        4.526720516734627,
        4.526740065600137,
        4.526759137664049,
        4.526778209727962,
        4.526797758593473,
        4.526816830657385,
        4.526836379522895,
        4.526855451586808,
        4.52687452365072,
        4.526894072516231,
        4.526913144580144,
        4.526932693445654,
        4.526951765509566,
        4.526970837573479,
        4.52699038643899,
        4.527009458502902,
        4.527028530566815,
        4.527048079432325,
        4.5270671514962375,
        4.52708622356015,
        4.527105772425661,
        4.527777585876981,
        4.5277971347424915,
        4.527816206806404,
        4.527835278870316,
        4.527854350934229,
        4.527873422998141,
        4.527892971863651,
        4.527912043927564,
        4.527931115991477,
        4.52795018805539,
        4.527969260119302,
        4.527988808984812,
        4.528007881048725,
        4.528026953112637,
        4.52804602517655,
        4.528065097240463,
        4.528084169304376,
        4.528103718169886,
        4.528122790233798,
        4.52814186229771,
        4.528160934361623,
        4.5281800064255355,
        4.528199078489449,
        4.528218627354959,
        4.528237699418871,
        4.528256771482784,
        4.528275843546696,
        4.528294915610609,
        4.5283139876745215,
        4.528333059738435,
        4.528352608603945,
        4.528371680667857,
        4.52839075273177,
        4.528409824795682,
        4.5284288968595945,
        4.5284479689235075,
        4.52846704098742,
        4.528486113051333,
        4.528505185115245,
        4.528524257179158,
        4.528543806044668,
        4.5285628781085805,
        4.5285819501724935,
        4.528601022236406,
        4.528620094300319,
        4.528639166364231,
        4.528658238428144,
        4.528677310492056,
        4.528696382555968,
        4.528715454619881,
        4.5287345266837935,
        4.5287535987477066,
        4.528772670811619,
        4.528791742875532,
        4.528811291741042,
        4.528830363804954,
        4.528849435868867,
        4.5288685079327795,
        4.528887579996693,
        4.528906652060605,
        4.528925724124517,
        4.52894479618843,
        4.528963868252342,
        4.528982940316255,
        4.529002012380167,
        4.52902108444408,
        4.5290401565079925,
        4.529059228571906,
        4.529078300635818,
        4.529763941333474,
        4.529783013397387,
        4.529801608659702,
        4.529820680723614,
        4.529839752787527,
        4.5298588248514395,
        4.529877896915353,
        4.529896968979265,
        4.529916041043178,
        4.52993511310709,
        4.529953708369405,
        4.529972780433317,
        4.52999185249723,
        4.530010924561142,
        4.530029996625055,
        4.530049068688967,
        4.530067663951282,
        4.530086736015195,
        4.5301058080791075,
        4.53012488014302,
        4.530143952206933,
        4.530163024270845,
        4.53018161953316,
        4.530200691597073,
        4.530219763660985,
        4.530238835724898,
        4.53025790778881,
        4.530276503051125,
        4.530295575115037,
        4.53031464717895,
        4.530333719242862,
        4.530352791306775,
        4.53037138656909,
        4.530390458633002,
        4.530409530696915,
        4.530428602760828,
        4.530447198023142,
        4.530466270087055,
        4.530485342150968,
        4.53050441421488,
        4.530523009477195,
        4.530542081541108,
        4.53056115360502,
        4.530580225668933,
        4.530598820931248,
        4.53061789299516,
        4.530636965059072,
        4.530656037122985,
        4.5306746323853,
        4.530693704449212,
        4.530712776513125,
        4.530731848577037,
        4.530750443839352,
        4.530769515903265,
        4.530788587967177,
        4.530807183229492,
        4.530826255293404,
        4.5308453273573175,
        4.530863922619632,
        4.5308829946835445,
        4.5309020667474575,
        4.53092113881137,
        4.5309397340736846,
        4.530958806137597,
        4.53097787820151,
        4.530996473463825,
        4.531015545527737,
        4.53103461759165,
        4.531053212853965,
        4.531072284917877,
        4.531091356981789,
        4.531733131932447,
        4.53175220399636,
        4.531770799258675,
        4.531789871322587,
        4.531808466584902,
        4.531827538648814,
        4.531846133911129,
        4.531865205975042,
        4.531883801237357,
        4.531902873301269,
        4.531921468563584,
        4.531940540627496,
        4.531959135889811,
        4.531978207953724,
        4.531996803216039,
        4.532015875279951,
        4.532034470542266,
        4.532053542606178,
        4.532072137868493,
        4.532091209932406,
        4.532109805194721,
        4.532128877258633,
        4.532147472520948,
        4.532166544584861,
        4.532185139847175,
        4.532204211911088,
        4.532222807173403,
        4.532241879237315,
        4.53226047449963,
        4.532279546563543,
        4.532298141825857,
        4.532316737088172,
        4.532335809152085,
        4.5323544044143995,
        4.532373476478312,
        4.5323920717406265,
        4.53241114380454,
        4.5324297390668535,
        4.532448334329168,
        4.532467406393081,
        4.532486001655396,
        4.532505073719308,
        4.532523668981623,
        4.5325427410455355,
        4.53256133630785,
        4.532579931570165,
        4.532599003634078,
        4.532617598896393,
        4.532636670960305,
        4.53265526622262,
        4.532673861484935,
        4.532692933548847,
        4.532711528811162,
        4.532730600875075,
        4.53274919613739,
        4.532767791399704,
        4.532786863463617,
        4.532805458725932,
        4.5328240539882465,
        4.532843126052159,
        4.5328617213144735,
        4.532880316576788,
        4.5328993886407005,
        4.532917983903015,
        4.53293657916533,
        4.532955651229243,
        4.532974246491558,
        4.532992841753872,
        4.533011913817785,
        4.5330305090801,
        4.533049104342415,
        4.533068176406327,
        4.533086771668642,
        4.533105366930957,
        4.533704706539409,
        4.533723301801724,
        4.533741897064038,
        4.533760492326353,
        4.533779564390266,
        4.533798159652581,
        4.533816754914896,
        4.533835350177211,
        4.533853945439525,
        4.533873017503438,
        4.5338916127657525,
        4.533910208028067,
        4.533928803290382,
        4.533947398552696,
        4.533965993815011,
        4.533985065878924,
        4.534003661141239,
        4.534022256403554,
        4.534040851665868,
        4.5340594469281825,
        4.534078042190497,
        4.53409711425441,
        4.534115709516725,
        4.53413430477904,
        4.534152900041354,
        4.534171495303669,
        4.534190090565984,
        4.534208685828299,
        4.5342272810906135,
        4.534246353154526,
        4.5342649484168405,
        4.534414187316957,
        4.534432782579271,
        4.534451377841586,
        4.534469973103901,
        4.534488568366216,
        4.534507163628531,
        4.534525758890845,
        4.53454435415316,
        4.534562949415474,
        4.534581544677789,
        4.534600139940104,
        4.534618735202419,
        4.534637330464734,
        4.534655925727049,
        4.5346745209893635,
        4.534693116251678,
        4.5347121883155905,
        4.534730783577905,
        4.53474937884022,
        4.534767974102535,
        4.53478656936485,
        4.534805164627164,
        4.534823759889479,
        4.534842355151794,
        4.534860950414108,
        4.534879545676423,
        4.534898140938738,
        4.534916736201053,
        4.534935331463368,
        4.534953926725683,
        4.5349725219879975,
        4.5349911172503115,
        4.535009712512626,
        4.535028307774941,
        4.535046903037256,
        4.535065498299571,
        4.5351026888242005,
        4.535733497338109,
        4.535752092600423,
        4.535770687862738,
        4.535788806323455,
        4.53580740158577,
        4.535825996848084,
        4.535844592110399,
        4.535863187372714,
        4.535881782635029,
        4.5359003778973435,
        4.53591849635806,
        4.535937091620375,
        4.53595568688269,
        4.535974282145005,
        4.5359928774073195,
        4.536010995868036,
        4.536048186392666,
        4.53610397217961,
        4.536122090640327,
        4.536140685902642,
        4.536159281164957,
        4.5361778764272715,
        4.536196471689586,
        4.536214590150303,
        4.536233185412618,
        4.536251780674933,
        4.536270375937248,
        4.536288494397964,
        4.536307089660279,
        4.536325684922594,
        4.536344280184909,
        4.536362398645625,
        4.53638099390794,
        4.536399589170255,
        4.53641818443257,
        4.536436302893287,
        4.536454898155601,
        4.536473493417916,
        4.536492088680231,
        4.536510207140948,
        4.536528802403263,
        4.5365473976655775,
        4.536565992927892,
        4.536584111388609,
        4.536602706650924,
        4.536621301913239,
        4.536639420373955,
        4.53665801563627,
        4.536676610898585,
        4.5366952061609,
        4.5367133246216165,
        4.536731919883931,
        4.536750515146246,
        4.536768633606963,
        4.536787228869278,
        4.5368058241315925,
        4.53682394259231,
        4.536842537854624,
        4.536861133116939,
        4.536879251577656,
        4.536897846839971,
        4.536916442102285,
        4.536934560563003,
        4.5369531558253176,
        4.536971751087632,
        4.536989869548349,
        4.537008464810664,
        4.537027060072979,
        4.537045178533695,
        4.53706377379601,
        4.537082369058325,
        4.537100487519042,
        4.537119082781357,
        4.537137201242073,
        4.537726051215374,
        4.537744169676091,
        4.537762764938406,
        4.537946333553564,
        4.537964452014281,
        4.537983047276596,
        4.538001165737313,
        4.538019760999628,
        4.538037879460345,
        4.5380564747226595,
        4.538074593183376,
        4.538093188445691,
        4.538111306906408,
        4.5381299021687225,
        4.53814802062944,
        4.538166615891755,
        4.5381847343524715,
        4.538202852813188,
        4.538221448075503,
        4.53823956653622,
        4.5382581617985345,
        4.538276280259252,
        4.538294875521567,
        4.5383129939822835,
        4.538331112443,
        4.538349707705315,
        4.538367826166032,
        4.5383864214283465,
        4.538404539889064,
        4.538423135151379,
        4.5384412536120955,
        4.538459372072812,
        4.538477967335127,
        4.538496085795844,
        4.5385146810581585,
        4.538532799518876,
        4.538550917979593,
        4.5385695132419075,
        4.538587631702624,
        4.538605750163342,
        4.5386243454256565,
        4.538642463886373,
        4.538661059148688,
        4.538679177609405,
        4.538697296070121,
        4.538715891332436,
        4.538734009793154,
        4.53875212825387,
        4.538770723516185,
        4.538788841976902,
        4.538806960437619,
        4.538825555699933,
        4.538843674160651,
        4.5388617926213675,
        4.538880387883682,
        4.538898506344399,
        4.5389166248051165,
        4.538935220067431,
        4.538953338528148,
        4.538971456988865,
        4.5389900522511795,
        4.539008170711896,
        4.539026289172614,
        4.53904440763333,
        4.539063002895645,
        4.539081121356362,
        4.539099239817079,
        4.539117835079394,
        4.539135953540111,
        4.539154072000827,
        4.539172667263142,
        4.539190785723859,
        4.5392089041845765,
        4.539828269460137,
        4.539846864722452,
        4.539864983183168,
        4.539883101643886,
        4.5399012201046025,
        4.539919338565319,
        4.539937457026037,
        4.5399560522883515,
        4.539974170749068,
        4.539992289209785,
        4.540010407670502,
        4.540028526131219,
        4.540046644591936,
        4.540064763052653,
        4.54008288151337,
        4.540101476775685,
        4.540119595236401,
        4.540137713697118,
        4.5401558321578355,
        4.540173950618552,
        4.540192069079269,
        4.540210187539986,
        4.540228306000703,
        4.54024642446142,
        4.540265019723734,
        4.540283138184452,
        4.540301256645169,
        4.540319375105885,
        4.540337493566603,
        4.540355612027319,
        4.540373730488036,
        4.540391848948754,
        4.54040996740947,
        4.540428085870187,
        4.540446204330904,
        4.540464322791621,
        4.540482441252338,
        4.540500559713055,
        4.540518678173772,
        4.540537273436087,
        4.540555391896803,
        4.540573510357521,
        4.5405916288182375,
        4.540609747278954,
        4.540627865739672,
        4.540645984200388,
        4.540664102661105,
        4.5406822211218225,
        4.540700339582539,
        4.540718458043256,
        4.540736576503973,
        4.54075469496469,
        4.540772813425407,
        4.540790931886124,
        4.540809050346841,
        4.540827168807557,
        4.540845287268275,
        4.540863405728992,
        4.540881524189708,
        4.540899642650426,
        4.540917761111142,
        4.540935879571859,
        4.540953998032577,
        4.540972116493293,
        4.54099023495401,
        4.541008353414727,
        4.541026471875444,
        4.541044590336161,
        4.54106223199528,
        4.541080350455997,
        4.541098468916714,
        4.541116587377431,
        4.5411347058381475,
        4.541152824298865,
        4.541170942759582,
        4.541189061220298,
        4.54176694475685,
        4.541785063217566,
        4.541803181678284,
        4.541821300139,
        4.541839418599717,
        4.541857060258836,
        4.541875178719553,
        4.541893297180271,
        4.541911415640987,
        4.541929534101704,
        4.541947652562421,
        4.54196529422154,
        4.541983412682257,
        4.542001531142974,
        4.542019649603691,
        4.54203729126281,
        4.5420554097235275,
        4.542073528184244,
        4.542091646644961,
        4.542109765105678,
        4.542127406764797,
        4.542145525225514,
        4.542163643686231,
        4.542181762146948,
        4.542199403806067,
        4.5422175222667835,
        4.542235640727501,
        4.542253759188218,
        4.542271400847337,
        4.542289519308054,
        4.542307637768771,
        4.542325756229488,
        4.542343397888607,
        4.542361516349324,
        4.5423796348100405,
        4.542397753270758,
        4.5424153949298764,
        4.542433513390594,
        4.542451631851311,
        4.54246927351043,
        4.542487391971147,
        4.542505510431864,
        4.542523628892581,
        4.5425412705517,
        4.542559389012417,
        4.542577507473133,
        4.542595149132253,
        4.542613267592969,
        4.542631386053687,
        4.542649027712806,
        4.542667146173523,
        4.5426852646342395,
        4.542703383094957,
        4.5427210247540755,
        4.542739143214793,
        4.54275726167551,
        4.542774903334629,
        4.542793021795346,
        4.542810663454465,
        4.542828781915182,
        4.542846900375899,
        4.5428645420350175,
        4.542882660495735,
        4.542900778956452,
        4.542918420615571,
        4.542936539076288,
        4.542954657537004,
        4.542972299196124,
        4.542990417656841,
        4.543008536117558,
        4.543026177776677,
        4.543044296237394,
        4.543061937896513,
        4.54308005635723,
        4.543098174817946,
        4.543115816477066,
        4.543133934937783,
        4.543151576596902,
        4.543169695057619,
        4.543187813518336,
        4.543205455177455,
        4.543223573638172,
        4.543241215297291,
        4.543259333758008,
        4.543849614136102,
        4.543867732596819,
        4.543885374255938,
        4.543903492716655,
        4.543921134375774,
        4.543939252836491,
        4.543956894495611,
        4.543975012956327,
        4.5439926546154465,
        4.544010296274565,
        4.5440284147352825,
        4.544046056394402,
        4.5440641748551185,
        4.544081816514238,
        4.5440999349749545,
        4.544117576634074,
        4.54413569509479,
        4.54415333675391,
        4.544170978413029,
        4.544189096873746,
        4.544206738532865,
        4.544224856993582,
        4.544242498652701,
        4.54426014031182,
        4.544278258772537,
        4.544295900431656,
        4.544314018892373,
        4.544331660551492,
        4.544349302210612,
        4.544367420671328,
        4.544385062330448,
        4.544403180791164,
        4.544420822450284,
        4.544438464109403,
        4.5444565825701195,
        4.544474224229239,
        4.544491865888357,
        4.544509984349075,
        4.544527626008194,
        4.544545744468911,
        4.54456338612803,
        4.544581027787149,
        4.544599146247866,
        4.544616787906985,
        4.544634429566104,
        4.544652548026821,
        4.54467018968594,
        4.544687831345059,
        4.544705949805777,
        4.544723591464895,
        4.5447412331240145,
        4.544759351584731,
        4.54477699324385,
        4.54479463490297,
        4.544812753363686,
        4.544830395022806,
        4.544848036681925,
        4.544866155142642,
        4.544883796801761,
        4.54490143846088,
        4.544919080119999,
        4.544937198580716,
        4.544954840239836,
        4.544972481898954,
        4.544990600359672,
        4.54500824201879,
        4.545025883677909,
        4.545043525337029,
        4.545061643797745,
        4.545079285456865,
        4.545096927115984,
        4.545114568775103,
        4.54513268723582,
        4.545150328894939,
        4.545167970554059,
        4.545895092990725,
        4.5459127346498445,
        4.545930376308963,
        4.545948017968082,
        4.545965659627202,
        4.545983778087918,
        4.5460014197470375,
        4.546019061406157,
        4.546036703065275,
        4.546054344724395,
        4.546071986383514,
        4.546089628042633,
        4.546107269701753,
        4.546124911360871,
        4.54614255301999,
        4.546160671480707,
        4.546178313139826,
        4.546195954798946,
        4.546213596458065,
        4.546231238117184,
        4.546248879776303,
        4.546266521435422,
        4.546284163094541,
        4.546301804753661,
        4.546319446412779,
        4.5463370880718985,
        4.546354729731018,
        4.546372371390137,
        4.546390013049256,
        4.546407654708375,
        4.546425296367494,
        4.546442938026614,
        4.546460579685733,
        4.54647869814645,
        4.546496339805569,
        4.546513981464687,
        4.546531623123807,
        4.546549264782926,
        4.546566906442045,
        4.546584548101165,
        4.546602189760283,
        4.546619831419402,
        4.546637473078522,
        4.546655114737641,
        4.5466727563967595,
        4.546690398055879,
        4.546708039714998,
        4.5467256813741175,
        4.546743323033237,
        4.546760964692355,
        4.546778606351475,
        4.546796248010594,
        4.546813412868115,
        4.546831054527234,
        4.546848696186354,
        4.546866337845472,
        4.5468839795045914,
        4.546901621163711,
        4.54691926282283,
        4.5469369044819485,
        4.546954546141068,
        4.546972187800187,
        4.5469898294593065,
        4.547007471118426,
        4.547025112777544,
        4.547042754436664,
        4.547060396095783,
        4.547078037754902,
        4.547095679414021,
        4.547253977544496,
        4.547271619203615,
        4.547289260862733,
        4.547306425720255,
        4.547324067379374,
        4.547341709038493,
        4.547359350697612,
        4.547376992356732,
        4.54739463401585,
        4.5474122756749695,
        4.547429917334089,
        4.54744708219161,
        4.547464723850729,
        4.547482365509849,
        4.547517648828086,
        4.547535290487206,
        4.548008754473836,
        4.548026396132954,
        4.5480440377920734,
        4.548061679451193,
        4.548078844308714,
        4.548096485967833,
        4.5481141276269526,
        4.548131769286071,
        4.548148934143593,
        4.548166575802711,
        4.548184217461831,
        4.54820185912095,
        4.548219023978471,
        4.5482366656375905,
        4.54825430729671,
        4.548271948955828,
        4.54828911381335,
        4.548306755472469,
        4.548324397131588,
        4.548341561989109,
        4.5483592036482285,
        4.548376845307348,
        4.548394486966467,
        4.548411651823988,
        4.548429293483108,
        4.548446935142227,
        4.548464099999748,
        4.5484817416588665,
        4.548499383317986,
        4.548516548175507,
        4.548534189834626,
        4.548551831493746,
        4.548568996351267,
        4.548586638010386,
        4.548604279669505,
        4.5486214445270265,
        4.548639086186146,
        4.548656727845265,
        4.548673892702786,
        4.548691534361906,
        4.548709176021024,
        4.548726340878546,
        4.5487439825376645,
        4.548761624196784,
        4.548778789054305,
        4.548796430713424,
        4.5488135955709454,
        4.548831237230065,
        4.548848878889184,
        4.548866043746705,
        4.5488836854058246,
        4.548901327064944,
        4.548918491922465,
        4.548936133581584,
        4.5489532984391055,
        4.548970940098225,
        4.548988581757343,
        4.549005746614864,
        4.549023388273984,
        4.549127807823905,
        4.549145449483024,
        4.5491626143405455,
        4.549180255999665,
        4.549197420857186,
        4.549215062516305,
        4.549232704175425,
        4.549249869032946,
        4.549267510692065,
        4.549284675549586,
        4.5493023172087055,
        4.549319482066227,
        4.549337123725346,
        4.549354288582867,
        4.549371930241986,
        4.5493890950995075,
        4.549406736758627,
        4.549424378417745,
        4.549441543275267,
        4.549459184934386,
        4.549476349791908,
        4.549493991451026,
        4.549511156308548,
        4.549528797967667,
        4.549545962825189,
        4.549563604484307,
        4.549580769341829,
        4.5495984110009475,
        4.5496155758584695,
        4.549633217517588,
        4.55013672000488,
        4.550154361663999,
        4.55017152652152,
        4.55018916818064,
        4.550206333038161,
        4.550223497895682,
        4.550241139554801,
        4.550258304412322,
        4.550275946071442,
        4.550293110928963,
        4.550310275786485,
        4.550327917445603,
        4.550345082303125,
        4.550362247160646,
        4.550379888819766,
        4.550397053677287,
        4.550414218534808,
        4.550431860193927,
        4.550449025051448,
        4.55046618990897,
        4.550483831568089,
        4.55050099642561,
        4.550518161283131,
        4.5505358029422505,
        4.550552967799772,
        4.550570132657294,
        4.550587774316412,
        4.550604939173934,
        4.550622104031455,
        4.5506397456905745,
        4.550656910548096,
        4.550674075405617,
        4.550691717064736,
        4.550708881922257,
        4.550726046779778,
        4.550743688438898,
        4.550760853296419,
        4.55077801815394,
        4.550795183011462,
        4.55081282467058,
        4.550829989528102,
        4.5508471543856235,
        4.550864796044743,
        4.550881960902264,
        4.550899125759785,
        4.550916290617306,
        4.5510545630806725,
        4.551072204739792,
        4.551089369597313,
        4.551106534454834,
        4.551123699312355,
        4.5511413409714745,
        4.551158505828996,
        4.551175670686518,
        4.551192835544039,
        4.55121000040156,
        4.551227642060679,
        4.5512448069182,
        4.5512619717757214,
        4.551279136633243,
        4.551296778292362,
        4.551313943149883,
        4.551331108007405,
        4.551348272864926,
        4.551365437722447,
        4.551382602579968,
        4.551400244239088,
        4.551417409096609,
        4.55143457395413,
        4.551451738811652,
        4.551468903669173,
        4.551486545328292,
        4.551503710185814,
        4.551520875043335,
        4.551538039900856,
        4.551555204758377,
        4.551572369615899,
        4.551590011275017,
        4.551607176132539,
        4.5516243409900605,
        4.551641505847582,
        4.551658670705103,
        4.551675835562624,
        4.551693000420146,
        4.551710165277667,
        4.551727806936786,
        4.5517449717943075,
        4.551762136651829,
        4.55177930150935,
        4.5522265414081,
        4.552243706265621,
        4.552260871123142,
        4.552278035980664,
        4.552295200838185,
        4.552312365695706,
        4.552329530553227,
        4.5523466954107485,
        4.552363860268271,
        4.552381025125792,
        4.552398189983313,
        4.552415354840834,
        4.552432519698355,
        4.552449684555877,
        4.552466849413398,
        4.552484014270919,
        4.55250117912844,
        4.5525183439859624,
        4.552535508843484,
        4.552552673701005,
        4.552569838558526,
        4.552587003416047,
        4.552604168273569,
        4.55262133313109,
        4.552638497988611,
        4.552655662846132,
        4.5526728277036534,
        4.5526899925611755,
        4.552707157418697,
        4.552724322276218,
        4.552741487133739,
        4.552758651991261,
        4.552775816848782,
        4.552792981706303,
        4.552810146563824,
        4.552827311421345,
        4.552844476278867,
        4.5528616411363885,
        4.552998483194961,
        4.553015648052482,
        4.553032812910003,
        4.553049977767525,
        4.553067142625046,
        4.553083830680969,
        4.553100995538491,
        4.5531181603960125,
        4.553135325253534,
        4.553152490111055,
        4.553169654968576,
        4.553186819826098,
        4.553203984683619,
        4.55322114954114,
        4.553237837597064,
        4.553255002454585,
        4.553272167312106,
        4.553289332169627,
        4.553306497027149,
        4.55332366188467,
        4.5533408267421915,
        4.553357514798115,
        4.5533746796556365,
        4.553391844513158,
        4.553409009370679,
        4.553426174228201,
        4.553443339085722,
        4.553460027141645,
        4.553477191999167,
        4.553494356856688,
        4.553511521714209,
        4.55352868657173,
        4.553545851429251,
        4.553562539485175,
        4.553579704342696,
        4.553596869200217,
        4.553614034057739,
        4.5536311989152605,
        4.553647886971184,
        4.553665051828705,
        4.5536822166862265,
        4.553699381543748,
        4.553716546401269,
        4.553733234457193,
        4.553750399314714,
        4.553767564172235,
        4.553784729029757,
        4.55380141708568,
        4.553818581943202,
        4.553835746800723,
        4.553852911658244,
        4.553869599714168,
        4.553886764571689,
        4.5552327754823185,
        4.556578786392948,
        4.556598812060056,
        4.556619314528762,
        4.55663934019587,
        4.556659842664576,
        4.556679868331685,
        4.556700370800391,
        4.556720396467498,
        4.556740898936205,
        4.556760924603313,
        4.55692303714657,
        4.556943062813678,
        4.556963565282384,
        4.556983590949492,
        4.5570036166166,
        4.557024119085306,
        4.557044144752415,
        4.557064647221121,
        4.557084672888228,
        4.557104698555337,
        4.557125201024043,
        4.557145226691151,
        4.557165729159857,
        4.557185754826965,
        4.5572057804940735,
        4.557226282962779,
        4.557246308629888,
        4.557266334296996,
        4.557286836765702,
        4.55730686243281,
        4.557327364901516,
        4.557347390568625,
        4.557367416235732,
        4.557387918704438,
        4.557407944371547,
        4.557427970038655,
        4.557448472507361,
        4.557468498174469,
        4.557488523841577,
        4.557509026310283,
        4.557529051977392,
        4.5575490776445,
        4.5575695801132055,
        4.557589605780314,
        4.557609631447422,
        4.5576301339161285,
        4.557650159583236,
        4.557670185250345,
        4.557690210917452,
        4.557710713386159,
        4.557730739053267,
        4.557750764720375,
        4.557771267189081,
        4.557791292856189,
        4.557811318523298,
        4.557831344190406,
        4.557851846659112,
        4.55787187232622,
        4.557891897993328,
        4.557911923660436,
        4.557932426129143,
        4.55795245179625,
        4.557972477463359,
        4.557992503130467,
        4.5580130055991726,
        4.558033031266281,
        4.55805305693339,
        4.558073082600497,
        4.558093585069203,
        4.558113610736312,
        4.5581336364034195,
        4.558153662070528,
        4.558174164539234,
        4.5581941902063425,
        4.55821421587345,
        4.558234241540559,
        4.558254267207667,
        4.558274769676373,
        4.558294795343481,
        4.5583148210105895,
        4.558957549564443,
        4.558977575231551,
        4.5589976008986595,
        4.559017626565767,
        4.559037652232876,
        4.559058154701582,
        4.55907818036869,
        4.559098206035798,
        4.559118231702906,
        4.559138257370014,
        4.559158283037123,
        4.559178308704231,
        4.559198334371339,
        4.5592183600384475,
        4.559238385705555,
        4.559258411372664,
        4.559278437039771,
        4.55929846270688,
        4.559318488373989,
        4.559338514041096,
        4.559358539708205,
        4.5593785653753125,
        4.559398591042421,
        4.55941861670953,
        4.559438642376637,
        4.559458668043746,
        4.559478693710854,
        4.559498719377962,
        4.55951874504507,
        4.559538770712178,
        4.559558796379287,
        4.559578822046395,
        4.559598847713503,
        4.559618873380611,
        4.5596388990477195,
        4.559658924714828,
        4.559678950381936,
        4.559698976049044,
        4.559719001716152,
        4.5597390273832605,
        4.559759053050368,
        4.559778601915879,
        4.559798627582987,
        4.559818653250096,
        4.559838678917203,
        4.559858704584312,
        4.55987873025142,
        4.559898755918528,
        4.559918781585636,
        4.5599388072527445,
        4.559958832919853,
        4.559978858586961,
        4.559998884254069,
        4.56001843311958,
        4.560038458786687,
        4.560058484453796,
        4.5600785101209045,
        4.560098535788012,
        4.560118561455121,
        4.560138587122228,
        4.560158612789337,
        4.560178638456445,
        4.560198187321955,
        4.560218212989064,
        4.560238238656172,
        4.56025826432328,
        4.560278289990388,
        4.560298315657496,
        4.560318341324605,
        4.560337890190115,
        4.560357915857224,
        4.560377941524331,
        4.56039796719144,
        4.5604179928585475,
        4.560438018525656,
        4.5604575673911665,
        4.560477593058274,
        4.560497618725383,
        4.560517644392491,
        4.560537670059599,
        4.560955825060883,
        4.56097585072799,
        4.560995399593501,
        4.561015425260609,
        4.561035450927717,
        4.561054999793227,
        4.561075025460336,
        4.561095051127444,
        4.561115076794552,
        4.5611346256600624,
        4.561154651327171,
        4.561174676994279,
        4.561194225859789,
        4.561214251526898,
        4.561234277194005,
        4.561253826059516,
        4.561273851726624,
        4.561293877393733,
        4.561313426259243,
        4.561333451926351,
        4.561353477593459,
        4.56137302645897,
        4.5613930521260775,
        4.561413077793186,
        4.561432626658696,
        4.561452652325805,
        4.561472677992913,
        4.561492226858423,
        4.561512252525532,
        4.561532278192639,
        4.56155182705815,
        4.561571852725258,
        4.561591878392367,
        4.561611427257877,
        4.561631452924985,
        4.561651001790495,
        4.561671027457604,
        4.5616910531247115,
        4.561710601990222,
        4.56173062765733,
        4.561750176522841,
        4.561770202189949,
        4.561790227857057,
        4.561809776722567,
        4.561829802389676,
        4.561849351255186,
        4.561869376922294,
        4.561889402589403,
        4.561908951454913,
        4.561928977122021,
        4.561948525987531,
        4.5619685516546395,
        4.56198810052015,
        4.5620081261872585,
        4.562027675052769,
        4.5620477007198765,
        4.562067726386985,
        4.5620872752524955,
        4.562107300919603,
        4.5621268497851135,
        4.562146875452222,
        4.5621664243177324,
        4.562186449984841,
        4.562205998850351,
        4.562226024517459,
        4.562245573382969,
        4.562265599050078,
        4.562285147915588,
        4.562305173582696,
        4.562324722448206,
        4.562344748115315,
        4.562364296980825,
        4.562384322647934,
        4.562403871513444,
        4.562423897180552,
        4.562443446046062,
        4.562463471713171,
        4.562483020578681,
        4.562503046245789,
        4.562522595111299,
        4.562542620778408,
        4.562562169643918,
        4.562582195311027,
        4.562601744176537,
        4.5626212930420476,
        4.562641318709155,
        4.562660867574666,
        4.562680893241774,
        4.5627004421072845,
        4.562720467774392,
        4.563056136099254,
        4.5630756849647645,
        4.563095233830275,
        4.5631152594973825,
        4.563134808362893,
        4.563154357228403,
        4.563174382895512,
        4.563193931761022,
        4.5632134806265325,
        4.563233506293641,
        4.5632530551591515,
        4.563272604024662,
        4.5632926296917695,
        4.56331217855728,
        4.56333172742279,
        4.563351753089899,
        4.563371301955409,
        4.5633908508209196,
        4.563410876488027,
        4.563430425353538,
        4.563449974219048,
        4.5634699998861565,
        4.563489548751667,
        4.563509097617177,
        4.563529123284286,
        4.563548672149796,
        4.563568221015307,
        4.563587769880817,
        4.563607795547925,
        4.563627344413435,
        4.563646893278945,
        4.563666442144456,
        4.563686467811564,
        4.563706016677075,
        4.563725565542585,
        4.563745591209694,
        4.563765140075204,
        4.563784688940714,
        4.563804237806225,
        4.563824263473332,
        4.563843812338843,
        4.563863361204353,
        4.5638829100698635,
        4.563902458935374,
        4.563922484602482,
        4.563942033467993,
        4.563961582333503,
        4.5639811311990135,
        4.564001156866121,
        4.5640207057316315,
        4.564040254597142,
        4.564059803462652,
        4.5640793523281635,
        4.564099377995271,
        4.564118926860782,
        4.564138475726292,
        4.564158024591802,
        4.564177573457313,
        4.564197599124421,
        4.564217147989932,
        4.564236696855442,
        4.564256245720952,
        4.564275794586463,
        4.564295343451973,
        4.564315369119081,
        4.564334917984591,
        4.5643544668501015,
        4.564374015715612,
        4.564393564581122,
        4.5644131134466335,
        4.564432662312144,
        4.5644526879792515,
        4.564472236844762,
        4.564491785710272,
        4.564511334575783,
        4.564530883441293,
        4.564550432306803,
        4.564569981172314,
        4.564589530037824,
        4.564609555704933,
        4.564629104570443,
        4.564648653435953,
        4.564668202301464,
        4.564687751166974,
        4.5647073000324845,
        4.564726848897995,
        4.564746397763505,
        4.564765946629016,
        4.564785495494526,
        4.564805044360036,
        4.565274693933883,
        4.565294242799394,
        4.565313791664904,
        4.565333340530414,
        4.565352889395925,
        4.565372438261435,
        4.5653919871269455,
        4.565411535992456,
        4.565431084857966,
        4.565450633723477,
        4.565470182588987,
        4.565489731454497,
        4.565509280320008,
        4.565528829185518,
        4.565548378051028,
        4.565567926916539,
        4.565587475782049,
        4.5656070246475595,
        4.56562657351307,
        4.565645645576983,
        4.565665194442493,
        4.565684743308004,
        4.565704292173514,
        4.565723841039024,
        4.565743389904535,
        4.565762938770045,
        4.5657824876355555,
        4.565879755161509,
        4.5658993040270195,
        4.56591885289253,
        4.565938401758041,
        4.5659579506235515,
        4.565977499489062,
        4.565997048354572,
        4.566016597220083,
        4.566035669283995,
        4.566055218149505,
        4.5660747670150155,
        4.566094315880526,
        4.566113864746036,
        4.566133413611547,
        4.566152962477057,
        4.56617203454097,
        4.56619158340648,
        4.566211132271991,
        4.566230681137501,
        4.5662502300030114,
        4.566269778868522,
        4.566288850932434,
        4.566308399797944,
        4.566327948663455,
        4.566347497528965,
        4.566367046394475,
        4.5663861184583885,
        4.566405667323899,
        4.566425216189409,
        4.56644476505492,
        4.56646431392043,
        4.566483385984342,
        4.5665029348498525,
        4.566522483715363,
        4.566542032580873,
        4.566561104644786,
        4.566580653510297,
        4.566600202375807,
        4.566619751241317,
        4.566639300106828,
        4.56665837217074,
        4.56667792103625,
        4.566697469901761,
        4.566717018767271,
        4.566736090831184,
        4.566755639696694,
        4.566775188562205,
        4.566794737427715,
        4.566813809491627,
        4.566833358357138,
        4.566852907222648,
        4.566871979286561,
        4.5668915281520714,
        4.566911077017582,
        4.566930625883092,
        4.566949697947004,
        4.566969246812515,
        4.566988795678025,
        4.567007867741938,
        4.5670274166074485,
        4.567046965472959,
        4.567066037536871,
        4.567085586402381,
        4.567105135267892,
        4.567124207331805,
        4.567143756197315,
        4.5671633050628255,
        4.567182377126738,
        4.567201925992248,
        4.567221474857758,
        4.5672405469216715,
        4.567260095787182,
        4.567492774966915,
        4.567511847030827,
        4.567531395896338,
        4.567550944761848,
        4.567570016825761,
        4.5675895656912715,
        4.567608637755184,
        4.567628186620694,
        4.567647735486204,
        4.5676668075501174,
        4.567686356415628,
        4.56770542847954,
        4.56772497734505,
        4.567744049408963,
        4.567763598274474,
        4.567783147139984,
        4.567802219203896,
        4.567821768069407,
        4.56784084013332,
        4.56786038899883,
        4.567879461062742,
        4.567899009928253,
        4.567918081992166,
        4.567937630857676,
        4.567956702921588,
        4.5679762517870985,
        4.567995800652609,
        4.568014872716522,
        4.568034421582032,
        4.5680534936459445,
        4.568073042511455,
        4.568092114575367,
        4.568111663440878,
        4.56813073550479,
        4.568150284370301,
        4.568169356434213,
        4.568188905299723,
        4.568207977363636,
        4.568227526229147,
        4.568246598293059,
        4.568266147158569,
        4.568285219222482,
        4.568304768087993,
        4.568323840151905,
        4.568342912215818,
        4.568362461081328,
        4.56838153314524,
        4.568401082010751,
        4.568420154074664,
        4.568439702940174,
        4.568458775004086,
        4.568478323869597,
        4.56849739593351,
        4.56851694479902,
        4.568536016862932,
        4.568555088926845,
        4.568574637792356,
        4.568593709856268,
        4.568613258721778,
        4.568632330785691,
        4.568651879651202,
        4.568670951715114,
        4.568690023779027,
        4.568709572644537,
        4.568728644708449,
        4.56874819357396,
        4.568767265637872,
        4.568786337701785,
        4.568805886567295,
        4.5688249586312075,
        4.568844030695121,
        4.568863579560631,
        4.568882651624543,
        4.5689022004900535,
        4.5689212725539665,
        4.568940344617879,
        4.568959893483389,
        4.568978965547302,
        4.568998037611214,
        4.569017586476725,
        4.569036658540638,
        4.56905573060455,
        4.56907527947006,
        4.569094351533973,
        4.569113423597885,
        4.569132972463396,
        4.569152044527309,
        4.569171116591221,
        4.569190665456731,
        4.5692097375206435,
        4.569228809584557,
        4.569248358450067,
        4.569267430513979,
        4.569286502577892,
        4.5693060514434025,
        4.569325123507315,
        4.569344195571228,
        4.569363744436738,
        4.56938281650065,
        4.569401888564563,
        4.5694209606284755,
        4.569440509493986,
        4.569459581557899,
        4.569478653621811,
        4.569498202487321,
        4.5695172745512345,
        4.569536346615147,
        4.56955541867906,
        4.569747569722979,
        4.569766641786891,
        4.569785713850804,
        4.569804785914716,
        4.569824334780226,
        4.569843406844139,
        4.5698624789080515,
        4.569881550971965,
        4.569900623035877,
        4.569920171901387,
        4.569939243965299,
        4.569958316029212,
        4.5699773880931245,
        4.5699964601570375,
        4.570016009022548,
        4.57003508108646,
        4.570054153150373,
        4.570073225214285,
        4.570092297278198,
        4.5701113693421105,
        4.570130918207621,
        4.570149990271534,
        4.570169062335446,
        4.570188134399359,
        4.570207206463271,
        4.570226278527183,
        4.570245827392694,
        4.570264899456607,
        4.570283971520519,
        4.570303043584432,
        4.570322115648344,
        4.570341187712257,
        4.570360259776169,
        4.5703793318400825,
        4.570398880705593,
        4.570417952769505,
        4.570437024833418,
        4.57045609689733,
        4.570475168961243,
        4.5704942410251554,
        4.570513313089068,
        4.570532385152981,
        4.570551457216893,
        4.570570529280806,
        4.570590078146316,
        4.570609150210228,
        4.5706282222741415,
        4.570647294338054,
        4.570666366401967,
        4.570685438465879,
        4.570704510529792,
        4.570723582593704,
        4.570742654657616,
        4.570761726721529,
        4.570780798785441,
        4.5707998708493545,
        4.570818942913267,
        4.57083801497718,
        4.570857087041092,
        4.570876159105005,
        4.570895231168917,
        4.57091430323283,
        4.570933375296742,
        4.570952447360655,
        4.570971996226166,
        4.570991068290078,
        4.57101014035399,
        4.571029212417903,
        4.571048284481815,
        4.571067356545728,
        4.57108642860964,
        4.5711055006735535,
        4.571124572737466,
        4.571143644801379,
        4.571162716865291,
        4.571181788929204,
        4.571200384191518,
        4.571219456255431,
        4.571238528319343,
        4.571257600383256,
        4.571276672447168,
        4.571295744511081,
        4.5713148165749935,
        4.5713338886389066,
        4.571352960702819,
        4.571372032766732,
        4.571391104830644,
        4.571410176894556,
        4.571429248958469,
        4.571448321022381,
        4.571467393086294,
        4.5714864651502065,
        4.57150553721412,
        4.571524609278032,
        4.571543681341945,
        4.57156227660426,
        4.571581348668172,
        4.571600420732084,
        4.571619492795997,
        4.571638564859909,
        4.571657636923822,
        4.571676708987734,
        4.571695781051647,
        4.57171485311556,
        4.571733925179473,
        4.5717525204417875,
        4.5717715925057,
        4.571790664569612,
        4.571809736633525,
        4.571828808697437,
        4.57203764779728,
        4.572056719861193,
        4.572075791925105,
        4.572094863989018,
        4.57211393605293,
        4.572132531315245,
        4.572151603379157,
        4.57217067544307,
        4.572189747506982,
        4.572208819570895,
        4.572227891634808,
        4.572246486897122,
        4.5722655589610355,
        4.572284631024948,
        4.572303703088861,
        4.572322298351175,
        4.572341370415088,
        4.572360442479,
        4.572379514542913,
        4.572398586606825,
        4.57241718186914,
        4.572436253933053,
        4.572455325996965,
        4.572474398060878,
        4.572492993323192,
        4.572512065387105,
        4.572531137451017,
        4.57255020951493,
        4.572568804777245,
        4.572587876841157,
        4.5726069489050705,
        4.572626020968983,
        4.5726446162312975,
        4.57266368829521,
        4.572682760359123,
        4.572701832423035,
        4.57272042768535,
        4.572739499749263,
        4.572758571813175,
        4.57277716707549,
        4.572796239139403,
        4.572815311203315,
        4.57283390646563,
        4.572947862047507,
        4.572966457309822,
        4.572985529373734,
        4.573004601437647,
        4.573023196699962,
        4.573042268763874,
        4.573061340827787,
        4.573079936090102,
        4.573099008154014,
        4.573118080217927,
        4.573136675480241,
        4.573155747544154,
        4.573174819608067,
        4.5731934148703814,
        4.5732124869342945,
        4.573231082196609,
        4.5732501542605215,
        4.573269226324434,
        4.5732878215867485,
        4.573306893650662,
        4.573325965714574,
        4.573344560976889,
        4.573363633040802,
        4.5733822283031165,
        4.573401300367029,
        4.573420372430941,
        4.573438967693256,
        4.573458039757169,
        4.5734766350194835,
        4.573495707083396,
        4.573514779147309,
        4.573533374409624,
        4.573552446473536,
        4.573571041735851,
        4.573590113799763,
        4.573608709062078,
        4.573627781125991,
        4.573646853189903,
        4.573665448452218,
        4.57368452051613,
        4.573703115778445,
        4.573722187842358,
        4.573740783104673,
        4.573759855168585,
        4.5737784504309,
        4.573797522494813,
        4.573816117757127,
        4.57383518982104,
        4.5738537850833545,
        4.573872857147267,
        4.57389192921118,
        4.5739105244734946,
        4.573929596537407,
        4.573948191799722,
        4.573967263863634,
        4.573985859125949,
        4.574004931189862,
        4.5740235264521765,
        4.574042598516089,
        4.5740611937784035,
        4.574080265842316,
        4.5740988611046305,
        4.574117456366945,
        4.574136528430858,
        4.574305792998082,
        4.574324865061994,
        4.574343460324309,
        4.574362055586624,
        4.574381127650537,
        4.574399722912852,
        4.574418794976764,
        4.574437390239079,
        4.574456462302991,
        4.574475057565306,
        4.574493652827621,
        4.574512724891534,
        4.574531320153849,
        4.574550392217761,
        4.574568987480076,
        4.5745875827423905,
        4.574606654806303,
        4.5746252500686175,
        4.574644322132531,
        4.574662917394845,
        4.574681512657159,
        4.574700584721072,
        4.574719179983387,
        4.5747382520472994,
        4.574756847309614,
        4.574775442571929,
        4.574794514635841,
        4.574813109898156,
        4.574831705160471,
        4.574850777224384,
        4.574869372486699,
        4.574887967749014,
        4.574907039812926,
        4.574925635075241,
        4.574944230337556,
        4.574963302401468,
        4.574981897663783,
        4.5750004929260975,
        4.57501956499001,
        4.5750381602523245,
        4.575056755514639,
        4.575075827578552,
        4.575094422840867,
        4.575113018103182,
        4.575132090167094,
        4.575150685429409,
        4.575169280691724,
        4.575188352755636,
        4.575206948017951,
        4.575225543280266,
        4.575244138542581,
        4.575263210606493,
        4.575281805868808,
        4.5753004011311225,
        4.5753194731950355,
        4.57533806845735,
        4.575356663719664,
        4.575375258981979,
        4.575394331045892,
        4.575412926308207,
        4.575431521570522,
        4.575450116832836,
        4.575469188896749,
        4.575487784159064,
        4.575506379421379,
        4.5755249746836935,
        4.575544046747606,
        4.5755626420099205,
        4.575581237272235,
        4.57559983253455,
        4.575618427796865,
        4.575637499860777,
        4.575656095123092,
        4.575674690385407,
        4.575693285647722,
        4.575712357711634,
        4.575730952973949,
        4.575749548236264,
        4.575768143498578,
        4.575786738760893,
        4.575805810824805,
        4.57582440608712,
        4.575843001349435,
        4.57586159661175,
        4.575880191874065,
        4.57589878713638,
        4.575917859200292,
        4.575936454462607,
        4.5759550497249215,
        4.575973644987236,
        4.575992240249551,
        4.576010835511866,
        4.576029907575778,
        4.576048502838093,
        4.576067098100408,
        4.576085693362723,
        4.576104288625038,
        4.576122883887352,
        4.576141479149667,
        4.5761605512135795,
        4.576179146475894,
        4.576197741738209,
        4.576216337000524,
        4.576234932262839,
        4.576253527525153,
        4.576272122787468,
        4.5762907180497825,
        4.5763097901136955,
        4.57632838537601,
        4.576346980638325,
        4.576365575900639,
        4.576384171162954,
        4.576402766425269,
        4.576421361687584,
        4.576439956949899,
        4.576458552212213,
        4.576477147474528,
        4.5766077911123295,
        4.576626386374644,
        4.576644981636958,
        4.576663576899273,
        4.576682172161588,
        4.576700767423903,
        4.576719362686218,
        4.5767379579485326,
        4.576756553210847,
        4.576775148473162,
        4.576793743735477,
        4.576812338997791,
        4.576830934260106,
        4.576849529522421,
        4.576868124784736,
        4.57688672004705,
        4.576905315309365,
        4.57692391057168,
        4.576942505833995,
        4.57696110109631,
        4.576979696358625,
        4.576998291620939,
        4.5770168868832535,
        4.577035482145568,
        4.577054077407883,
        4.577072672670198,
        4.577091267932513,
        4.577109863194828,
        4.577128458457143,
        4.577147053719457,
        4.577165648981771,
        4.577184244244086,
        4.577202839506401,
        4.577221434768716,
        4.577240030031031,
        4.577258625293346,
        4.57727722055566,
        4.577295815817975,
        4.577313934278692,
        4.577332529541007,
        4.577351124803322,
        4.5773697200656365,
        4.577388315327951,
        4.577406910590266,
        4.57742550585258,
        4.577444101114895,
        4.57746269637721,
        4.577481291639525,
        4.5774998869018395,
        4.577518482164154,
        4.577536600624871,
        4.577555195887186,
        4.577573791149501,
        4.5775923864118155,
        4.57761098167413,
        4.577629576936445,
        4.57764817219876,
        4.577666767461075,
        4.577685362723389,
        4.577703481184106,
        4.577722076446421,
        4.577740671708736,
        4.57775926697105,
        4.577777862233365,
        4.57779645749568,
        4.577815052757995,
        4.577833171218711,
        4.577851766481026,
        4.577870361743341,
        4.577888957005656,
        4.577907552267971,
        4.5779261475302855,
        4.577944265991002,
        4.577962861253317,
        4.577981456515632,
        4.578000051777947,
        4.5780186470402615,
        4.578036765500978,
        4.578055360763293,
        4.578073956025608,
        4.578092551287923,
        4.5781111465502375,
        4.578129265010954,
        4.578147860273269,
        4.578166455535584,
        4.578185050797899,
        4.578203646060214,
        4.57822176452093,
        4.578240359783245,
        4.57825895504556,
        4.578277550307875,
        4.578295668768591,
        4.578314264030906,
        4.578332859293221,
        4.578351454555536,
        4.578370049817851,
        4.578388168278567,
        4.578406763540882,
        4.578425358803197,
        4.578443477263914,
        4.578462072526229,
        4.5784806677885435,
        4.578499263050858,
        4.578517381511575,
        4.57853597677389,
        4.578554572036205,
        4.5785731672985195,
        4.578591285759236,
        4.578609881021551,
        4.578628476283866,
        4.5786465947445825,
        4.578665190006897,
        4.578683785269212,
        4.578702380531527,
        4.578720498992244,
        4.5787390942545585,
        4.578757689516873,
        4.57877580797759,
        4.578794403239905,
        4.578905021210598,
        4.578923616472912,
        4.57894173493363,
        4.578960330195945,
        4.57897892545826,
        4.578997043918976,
        4.579015639181291,
        4.579034234443606,
        4.5790523529043226,
        4.579070948166637,
        4.579089066627354,
        4.579107661889669,
        4.579126257151984,
        4.5791443756127,
        4.579162970875015,
        4.57918156613733,
        4.579199684598048,
        4.579218279860362,
        4.579236398321079,
        4.579254993583394,
        4.579273588845709,
        4.579291707306425,
        4.57931030256874,
        4.579328421029457,
        4.579347016291772,
        4.579365611554087,
        4.579383730014803,
        4.579402325277118,
        4.579420443737835,
        4.57943903900015,
        4.579457157460867,
        4.579475752723182,
        4.579494347985496,
        4.5795124664462135,
        4.579531061708528,
        4.579549180169245,
        4.57956777543156,
        4.579585893892276,
        4.579604489154591,
        4.579622607615309,
        4.579641202877623,
        4.57965932133834,
        4.579677916600655,
        4.57969651186297,
        4.579714630323687,
        4.5797332255860015,
        4.579751344046718,
        4.579769939309033,
        4.57978805776975,
        4.5798066530320645,
        4.579824771492782,
        4.579843366755096,
        4.5798614852158135,
        4.579880080478128,
        4.579898198938845,
        4.57991679420116,
        4.5799349126618765,
        4.579953507924191,
        4.579971626384908,
        4.580099886014721,
        4.580118481277035,
        4.580136599737752,
        4.580155195000067,
        4.580173313460784,
        4.580191908723099,
        4.580210027183815,
        4.58022862244613,
        4.580246740906847,
        4.580264859367564,
        4.580283454629879,
        4.580301573090596,
        4.580320168352911,
        4.580338286813627,
        4.580356405274345,
        4.580375000536659,
        4.580393118997376,
        4.580411714259691,
        4.580429832720408,
        4.580448427982723,
        4.580466546443439,
        4.580484664904157,
        4.580503260166471,
        4.580521378627188,
        4.580539497087905,
        4.58055809235022,
        4.5805762108109365,
        4.580594806073251,
        4.580612924533969,
        4.5806310429946855,
        4.580649638257,
        4.580667756717717,
        4.5806858751784345,
        4.5807044704407485,
        4.580722588901466,
        4.580740707362183,
        4.5807593026244975,
        4.580777421085214,
        4.580796016347529,
        4.5808141348082465,
        4.580832253268963,
        4.580850848531278,
        4.580868966991995,
        4.580887085452711,
        4.580905680715026,
        4.580923799175744,
        4.58094191763646,
        4.580960036097177,
        4.580978631359492,
        4.580996749820209,
        4.581014868280926,
        4.581033463543241,
        4.5810515820039575,
        4.581069700464674,
        4.581088295726989,
        4.5811064141877065,
        4.581124532648423,
        4.58114265110914,
        4.581161246371455,
        4.581252315476637,
        4.5812704339373544,
        4.581289029199669,
        4.581307147660386,
        4.581325266121103,
        4.58134338458182,
        4.581361979844135,
        4.581380098304852,
        4.581398216765568,
        4.581416335226286,
        4.581434453687002,
        4.581453048949317,
        4.581471167410034,
        4.581489285870751,
        4.581507404331468,
        4.581525999593783,
        4.5815441180545,
        4.581562236515216,
        4.581580354975934,
        4.58159847343665,
        4.581617068698965,
        4.581635187159682,
        4.581653305620399,
        4.581671424081116,
        4.581689542541833,
        4.5817081378041475,
        4.581726256264865,
        4.581744374725582,
        4.581762493186298,
        4.581780611647016,
        4.5817987301077325,
        4.581817325370047,
        4.581835443830764,
        4.581853562291481,
        4.581871680752198,
        4.581889799212915,
        4.5819079176736315,
        4.581926512935946,
        4.581944631396664,
        4.5819627498573805,
        4.581980868318097,
        4.581998986778815,
        4.582017105239531,
        4.582035223700248,
        4.582053818962563,
        4.58207193742328,
        4.582090055883997,
        4.582108174344714,
        4.582126292805431,
        4.582144411266148,
        4.582162529726864,
        4.582180648187582,
        4.582198766648299,
        4.5822173619106135,
        4.58223548037133,
        4.582253598832047,
        4.582271717292764,
        4.582289835753481,
        4.582307954214198,
        4.582326072674915,
        4.582344191135632,
        4.582362309596348,
        4.582380428057066,
        4.582398546517783,
        4.582416664978499,
        4.582434783439217,
        4.582453378701532,
        4.582471497162248,
        4.582489615622965,
        4.582507734083682,
        4.582525852544399,
        4.582543971005116,
        4.582562089465833,
        4.58258020792655,
        4.5825983263872665,
        4.582616444847984,
        4.582634563308701,
        4.582652681769417,
        4.582670800230135,
        4.5826889186908515,
        4.582707037151568,
        4.582725155612286,
        4.582743274073002,
        4.582761392533719,
        4.5827795109944365,
        4.582797629455153,
        4.58281574791587,
        4.582833866376587,
        4.582851984837304,
        4.582870103298021,
        4.582888221758738,
        4.582906340219455,
        4.582924458680171,
        4.582942577140889,
        4.582960695601606,
        4.582978814062322,
        4.58299693252304,
        4.583015050983756,
        4.583033169444473,
        4.583051287905191,
        4.583069406365907,
        4.583087524826624,
        4.583105643287341,
        4.583123761748058,
        4.583141880208775,
        4.583159521867894,
        4.5831776403286115,
        4.583195758789328,
        4.583213877250045,
        4.583231995710762,
        4.583250114171479,
        4.583268232632196,
        4.583286351092913,
        4.58330446955363,
        4.583322588014346,
        4.583340706475064,
        4.583358824935781,
        4.5833764665949,
        4.583394585055617,
        4.583412703516333,
        4.583430821977051,
        4.583448940437767,
        4.583467058898484,
        4.583485177359202,
        4.583503295819918,
        4.583521414280635,
        4.583611529782622,
        4.583629648243339,
        4.583647766704056,
        4.5836658851647725,
        4.583683526823892,
        4.583701645284609,
        4.583719763745326,
        4.583737882206043,
        4.58375600066676,
        4.583774119127477,
        4.583791760786596,
        4.583809879247313,
        4.583827997708029,
        4.583846116168747,
        4.583864234629464,
        4.58388235309018,
        4.5838999947492995,
        4.583918113210016,
        4.583936231670734,
        4.58395435013145,
        4.583972468592167,
        4.583990110251286,
        4.584008228712004,
        4.5840263471727205,
        4.584044465633437,
        4.5840621072925565,
        4.584080225753273,
        4.584098344213991,
        4.584116462674707,
        4.584134581135424,
        4.584152222794543,
        4.58417034125526,
        4.584188459715977,
        4.584206578176694,
        4.584224219835813,
        4.58424233829653,
        4.584260456757248,
        4.584278575217964,
        4.5842962168770836,
        4.5843143353378,
        4.584332453798517,
        4.584350572259234,
        4.584368213918353,
        4.58438633237907,
        4.584404450839787,
        4.584422569300504,
        4.584440210959623,
        4.5844583294203405,
        4.584476447881057,
        4.5844940895401765,
        4.584512208000893,
        4.58453032646161,
        4.584548444922327,
        4.584566086581446,
        4.584584205042163,
        4.58460232350288,
        4.584619965161999,
        4.584638083622716,
        4.584656202083433,
        4.584673843742552,
        4.584691962203269,
        4.584710080663986,
        4.584727722323105,
        4.584745840783822,
        4.584763959244539,
        4.584781600903658,
        4.5847997193643755,
        4.584817837825092,
        4.584835479484211,
        4.584853597944928,
        4.584871716405645,
        4.584889358064764,
        4.584907476525481,
        4.584925594986198,
        4.5849432366453176,
        4.584961355106034,
        4.584979473566751,
        4.58499711522587,
        4.585015233686587,
        4.585032875345706,
        4.585050993806423,
        4.58506911226714,
        4.585086753926259,
        4.585104872386976,
        4.585122514046096,
        4.585140632506812,
        4.585158750967529,
        4.585176392626648,
        4.585194511087365,
        4.585212152746484,
        4.585230271207201,
        4.585248389667918,
        4.585266031327038,
        4.585284149787754,
        4.585301791446874,
        4.58531990990759,
        4.58533755156671,
        4.585355670027426,
        4.585373788488143,
        4.585391430147262,
        4.58540954860798,
        4.585427190267098,
        4.585445308727816,
        4.585462950386934,
        4.585481068847652,
        4.585498710506771,
        4.585516828967488,
        4.585534947428204,
        4.585552589087324,
        4.58557070754804,
        4.58558834920716,
        4.585606467667876,
        4.585624109326996,
        4.585642227787713,
        4.585659869446832,
        4.585677987907549,
        4.5856956295666675,
        4.585713748027385,
        4.585731389686504,
        4.585749508147221,
        4.58576714980634,
        4.585785268267057,
        4.585802909926176,
        4.585821028386893,
        4.585838670046012,
        4.585856788506729,
        4.585874430165848,
        4.585892548626565,
        4.5859993521844755,
        4.586017470645192,
        4.5860351123043115,
        4.586053230765029,
        4.5860708724241475,
        4.586088990884865,
        4.586106632543983,
        4.586124751004701,
        4.58614239266382,
        4.586160034322939,
        4.586178152783656,
        4.586195794442775,
        4.586213912903492,
        4.586231554562611,
        4.586249673023328,
        4.5862673146824475,
        4.586284956341566,
        4.5863030748022835,
        4.586320716461402,
        4.5863388349221195,
        4.586356476581239,
        4.586374118240357,
        4.586392236701075,
        4.586409878360193,
        4.5864275200193125,
        4.58644563848003,
        4.5864632801391485,
        4.586481398599866,
        4.5864990402589845,
        4.586516681918104,
        4.586534800378821,
        4.58655244203794,
        4.586570083697059,
        4.586588202157776,
        4.586605843816895,
        4.586623962277613,
        4.586641603936731,
        4.58665924559585,
        4.586677364056567,
        4.586695005715686,
        4.586712647374806,
        4.586730765835522,
        4.586748407494642,
        4.586766049153761,
        4.586784167614478,
        4.586801809273597,
        4.586819450932716,
        4.586837569393433,
        4.586855211052552,
        4.5868728527116716,
        4.58689049437079,
        4.5869086128315075,
        4.586926254490626,
        4.586943896149745,
        4.586962014610463,
        4.586979656269581,
        4.586997297928701,
        4.587015416389417,
        4.587033058048537,
        4.587050699707656,
        4.587068341366775,
        4.587086459827492,
        4.587104101486611,
        4.5871217431457305,
        4.587139384804849,
        4.5871575032655665,
        4.587175144924686,
        4.587192786583804,
        4.587210428242924,
        4.5873706335797895,
        4.587388275238909,
        4.587405916898027,
        4.587423558557147,
        4.587441200216266,
        4.5874593186769825,
        4.587476960336102,
        4.587494601995221,
        4.58751224365434,
        4.587529885313459,
        4.5875480037741765,
        4.587565645433295,
        4.587583287092414,
        4.587600928751534,
        4.587618570410653,
        4.5876366888713696,
        4.587654330530489,
        4.587671972189608,
        4.587689613848727,
        4.587707255507846,
        4.587724897166965,
        4.587743015627682,
        4.587760657286801,
        4.587778298945921,
        4.58779594060504,
        4.587813582264158,
        4.587831223923278,
        4.587849342383994,
        4.587866984043114,
        4.587884625702233,
        4.587902267361352,
        4.587919909020472,
        4.58793755067959,
        4.587955192338709,
        4.587972833997829,
        4.587990952458545,
        4.588008594117665,
        4.588026235776784,
        4.5880438774359025,
        4.588061519095022,
        4.588079160754141,
        4.5880968024132605,
        4.58811444407238,
        4.588132085731498,
        4.588150204192216,
        4.588167845851334,
        4.5881854875104535,
        4.588203129169573,
        4.588220770828692,
        4.5882384124878115,
        4.58825605414693,
        4.588273695806049,
        4.588291337465169,
        4.588308979124288,
        4.588344262442526,
        4.588361904101645,
        4.588379545760764,
        4.588397664221481,
        4.5884153058806,
        4.58843294753972,
        4.588450589198838,
        4.588468230857957,
        4.588485872517077,
        4.588503514176196,
        4.5885211558353145,
        4.588538797494434,
        4.588556439153553,
        4.5885740808126725,
        4.588591722471792,
        4.58860936413091,
        4.58862700579003,
        4.588644647449149,
        4.588662289108268,
        4.588679930767387,
        4.588697572426506,
        4.588715214085625,
        4.588732855744745,
        4.588750497403864,
        4.588768139062982,
        4.588785780722102,
        4.588803422381221,
        4.58882106404034,
        4.588838705699459,
        4.588856347358578,
        4.5888739890176975,
        4.588891630676817,
        4.588909272335935,
        4.588926913995055,
        4.588944555654174,
        4.588962197313293,
        4.588979838972413,
        4.588997003829934,
        4.589014645489053,
        4.5890322871481715,
        4.589049928807291,
        4.58906757046641,
        4.5890852121255294,
        4.589102853784648,
        4.589120495443767,
        4.5891381371028865,
        4.589155778762006,
        4.589173420421125,
        4.589191062080244,
        4.589208703739363,
        4.589226345398482,
        4.589243510256003,
        4.589261151915123,
        4.589278793574242,
        4.5892964352333605,
        4.58931407689248,
        4.589331718551599,
        4.5893493602107185,
        4.589367001869837,
        4.589384643528956,
        4.589402285188076,
        4.589419450045597,
        4.589437091704716,
        4.589454733363835,
        4.589472375022955,
        4.589490016682073,
        4.5895076583411925,
        4.589525300000312,
        4.589542464857833,
        4.589560106516952,
        4.589577748176072,
        4.58959538983519,
        4.589613031494309,
        4.589630673153429,
        4.589648314812548,
        4.589665479670069,
        4.589683121329188,
        4.589700762988307,
        4.589718404647426,
        4.5897360463065455,
        4.589753687965665,
        4.589770852823186,
        4.589788494482305,
        4.589806136141425,
        4.589823777800543,
        4.589841419459662,
        4.5898585843171835,
        4.589876225976303,
        4.589893867635422,
        4.5899115092945415,
        4.58992915095366,
        4.589946315811182,
        4.5899639574703,
        4.58998159912942,
        4.589999240788539,
        4.590016882447658,
        4.5900340473051795,
        4.590051688964299,
        4.590069330623417,
        4.590086972282537,
        4.590104137140058,
        4.590121778799177,
        4.590139420458296,
        4.590157062117416,
        4.590174226974937,
        4.590191868634056,
        4.590209510293175,
        4.590227151952294,
        4.590244316809815,
        4.590261958468934,
        4.590279600128054,
        4.590297241787173,
        4.590314406644694,
        4.5903320483038135,
        4.590349689962933,
        4.590366854820454,
        4.590384496479573,
        4.590402138138692,
        4.590419779797811,
        4.590436944655332,
        4.5904545863144515,
        4.590472227973571,
        4.590489392831092,
        4.590507034490211,
        4.590524676149331,
        4.590541841006852,
        4.590559482665971,
        4.5905771243250895,
        4.590594765984209,
        4.59061193084173,
        4.590629572500849,
        4.590647214159969,
        4.59066437901749,
        4.590682020676609,
        4.590699662335728,
        4.5907168271932495,
        4.590734468852369,
        4.590752110511487,
        4.590769275369009,
        4.590786917028128,
        4.59080408188565,
        4.590821723544768,
        4.5908393652038875,
        4.590856530061409,
        4.590874171720528,
        4.590891813379647,
        4.590908978237168,
        4.590926619896288,
        4.590944261555407,
        4.590961426412928,
        4.5909790680720475,
        4.590996232929569,
        4.591013874588688,
        4.591031516247806,
        4.591048681105328,
        4.591066322764447,
        4.591083487621969,
        4.591101129281087,
        4.591118770940207,
        4.591135935797728,
        4.591153577456847,
        4.591170742314368,
        4.5911883839734875,
        4.591206025632607,
        4.591223190490128,
        4.591240832149247,
        4.591257997006768,
        4.591275638665888,
        4.591292803523409,
        4.591310445182528,
        4.591327610040049,
        4.591345251699169,
        4.591362893358288,
        4.591380058215809,
        4.591397699874928,
        4.5914148647324495,
        4.591432506391569,
        4.59144967124909,
        4.591467312908209,
        4.59148447776573,
        4.59150211942485,
        4.591519284282371,
        4.59153692594149,
        4.591554090799011,
        4.59157173245813,
        4.591588897315652,
        4.59160653897477,
        4.591623703832292,
        4.591641345491411,
        4.591658510348933,
        4.591676152008051,
        4.591693316865573,
        4.591710958524692,
        4.591728123382214,
        4.591745765041332,
        4.591762929898854,
        4.5917805715579725,
        4.5917977364154945,
        4.591815378074613,
        4.591832542932135,
        4.591850184591253,
        4.591867349448775,
        4.591884991107894,
        4.591902155965416,
        4.591919797624534,
        4.591936962482056,
        4.591954604141175,
        4.591971768998697,
        4.591988933856218,
        4.592006575515337,
        4.592023740372858,
        4.592041382031977,
        4.592058546889499,
        4.592076188548617,
        4.592093353406139,
        4.592110995065258,
        4.59212815992278,
        4.592145324780301,
        4.59216296643942,
        4.592180131296941,
        4.592197772956061,
        4.592214937813582,
        4.592232102671103,
        4.592249744330222,
        4.592266909187743,
        4.592284550846863,
        4.592301715704384,
        4.592318880561905,
        4.592336522221024,
        4.592353687078545,
        4.592371328737665,
        4.592388493595186,
        4.592405658452707,
        4.592423300111826,
        4.592440464969347,
        4.592457629826869,
        4.592475271485988,
        4.59249243634351,
        4.592509601201031,
        4.59252724286015,
        4.592544407717671,
        4.592562049376791,
        4.592579214234312,
        4.592596379091833,
        4.592614020750952,
        4.592631185608473,
        4.5926483504659945,
        4.592665992125114,
        4.592683156982635,
        4.592700321840156,
        4.592717963499275,
        4.5927351283567965,
        4.5927522932143185,
        4.592769934873437,
        4.592787099730959,
        4.59280426458848,
        4.592821429446001,
        4.592839071105121,
        4.592856235962642,
        4.592873400820163,
        4.592891042479282,
        4.592908207336803,
        4.592925372194324,
        4.592942537051846,
        4.592960178710965,
        4.592977343568487,
        4.592994508426008,
        4.593012150085127,
        4.593029314942648,
        4.59304647980017,
        4.593063644657691,
        4.59308128631681,
        4.593098451174331,
        4.593115616031852,
        4.593132780889374,
        4.593150422548493,
        4.593167587406015,
        4.593184752263536,
        4.593201917121057,
        4.593219558780176,
        4.593236723637697,
        4.5932538884952185,
        4.59327105335274,
        4.593288695011859,
        4.59330585986938,
        4.593323024726902,
        4.593340189584423,
        4.593357354441944,
        4.593374996101064,
        4.593392160958585,
        4.593409325816106,
        4.593426490673627,
        4.593444132332746,
        4.5934612971902675,
        4.5934784620477895,
        4.593495626905311,
        4.593512791762832,
        4.593529956620353,
        4.593547598279472,
        4.593564763136993,
        4.5935819279945145,
        4.5935990928520365,
        4.593616257709558,
        4.593633899368677,
        4.593651064226198,
        4.593668229083719,
        4.59368539394124,
        4.593702558798762,
        4.5937197236562834,
        4.593736888513805,
        4.593754530172924,
        4.593771695030445,
        4.593788859887966,
        4.593806024745487,
        4.593823189603009,
        4.59384035446053,
        4.5938575193180515,
        4.593875160977171,
        4.593892325834692,
        4.593909490692213,
        4.593926655549734,
        4.593943820407256,
        4.593960985264777,
        4.5939781501222985,
        4.59399531497982,
        4.594012956638939,
        4.59403012149646,
        4.594047286353981,
        4.594064451211503,
        4.594081616069024,
        4.5940987809265454,
        4.594115945784067,
        4.594133110641588,
        4.59415027549911,
        4.594167440356631,
        4.594184605214152,
        4.594201770071673,
        4.594219411730792,
        4.5942365765883135,
        4.5942537414458355,
        4.594270906303357,
        4.594288071160878,
        4.595624307638753,
        4.596994873831669,
        4.597015376300375,
        4.597035878769081,
        4.597056381237787,
        4.597076883706493,
        4.597097386175199,
        4.597117888643905,
        4.597137914311014,
        4.5971584167797195,
        4.597178919248425,
        4.597199421717131,
        4.597219924185837,
        4.597240426654543,
        4.597260929123249,
        4.5972809547903575,
        4.597301457259063,
        4.597321959727769,
        4.597342462196475,
        4.597362964665182,
        4.597383467133888,
        4.597403969602594,
        4.597423995269701,
        4.597444497738408,
        4.597465000207114,
        4.59748550267582,
        4.597506005144526,
        4.597526507613232,
        4.59754653328034,
        4.597567035749046,
        4.597587538217752,
        4.597608040686458,
        4.597628543155164,
        4.597648568822272,
        4.597669071290978,
        4.597689573759684,
        4.59771007622839,
        4.597730578697096,
        4.5977506043642045,
        4.59777110683291,
        4.597791609301616,
        4.597812111770322,
        4.597832137437431,
        4.597852639906137,
        4.5978731423748425,
        4.597893644843548,
        4.597913670510657,
        4.597934172979363,
        4.597954675448069,
        4.597975177916775,
        4.597995203583883,
        4.598015706052589,
        4.598036208521295,
        4.598056710990001,
        4.598076736657109,
        4.598097239125815,
        4.598117741594521,
        4.59813776726163,
        4.598158269730336,
        4.5981787721990415,
        4.598199274667747,
        4.598219300334856,
        4.598239802803562,
        4.598260305272268,
        4.598280330939376,
        4.598300833408082,
        4.598321335876788,
        4.598341361543897,
        4.5983618640126025,
        4.598382366481308,
        4.598402392148417,
        4.598422894617123,
        4.598443397085829,
        4.598463422752936,
        4.598483925221643,
        4.598504427690349,
        4.598524453357457,
        4.598544955826163,
        4.598565458294869,
        4.598585483961977,
        4.598605986430683,
        4.5986260120977915,
        4.598646514566497,
        4.598667017035203,
        4.598687042702312,
        4.598707545171018,
        4.5987275708381254,
        4.598748073306832,
        4.598768575775538,
        4.598788601442646,
        4.598809103911352,
        4.59882912957846,
        4.598849632047166,
        4.598870134515872,
        4.598890160182981,
        4.5989106626516865,
        4.598930688318795,
        4.598951190787501,
        4.598971693256207,
        4.5989917189233145,
        4.599012221392021,
        4.599032247059129,
        4.599052749527835,
        4.599072775194943,
        4.599093277663649,
        4.599113303330758,
        4.599133805799464,
        4.599153831466571,
        4.599174333935277,
        4.599194836403984,
        4.599214862071092,
        4.599235364539798,
        4.599255390206906,
        4.599275892675612,
        4.599295918342721,
        4.5993164208114266,
        4.599336446478534,
        4.59935694894724,
        4.599376974614349,
        4.599397477083055,
        4.599417502750163,
        4.599438005218869,
        4.599458030885978,
        4.5994785333546835,
        4.599498559021791,
        4.5995185846889,
        4.599539087157606,
        4.599559112824714,
        4.59957961529342,
        4.599599640960528,
        4.599620143429234,
        4.599640169096342,
        4.599660671565048,
        4.599680697232157,
        4.5997011997008626,
        4.59972122536797,
        4.599741251035079,
        4.599761753503785,
        4.599781779170893,
        4.599802281639599,
        4.599822307306707,
        4.599842809775414,
        4.599862835442521,
        4.59988286110963,
        4.599903363578336,
        4.599923389245443,
        4.59994389171415,
        4.599963917381258,
        4.599983943048366,
        4.600004445517072,
        4.60002447118418,
        4.600044496851289,
        4.6000649993199945,
        4.600085024987103,
        4.600105527455809,
        4.6001255531229175,
        4.600145578790025,
        4.600166081258731,
        4.60018610692584,
        4.600206132592947,
        4.600226635061654,
        4.600246660728762,
        4.60026668639587,
        4.600287188864576,
        4.600307214531684,
        4.6003272401987925,
        4.600347742667498,
        4.600367768334607,
        4.600387794001715,
        4.6004082964704205,
        4.600428322137529,
        4.600448347804638,
        4.6004688502733435,
        4.600488875940451,
        4.60050890160756,
        4.600529404076266,
        4.600549429743374,
        4.600569455410482,
        4.6005894810775905,
        4.600609983546296,
        4.600630009213405,
        4.600650034880513,
        4.600670060547621,
        4.600690563016327,
        4.600710588683435,
        4.600730614350543,
        4.600751116819249,
        4.600771142486358,
        4.6007911681534654,
        4.600811193820574,
        4.60083169628928,
        4.6008517219563885,
        4.600871747623496,
        4.600891773290605,
        4.600911798957712,
        4.600932301426418,
        4.600952327093527,
        4.600972352760635,
        4.600992378427743,
        4.601012880896449,
        4.601032906563558,
        4.601052932230666,
        4.601072957897774,
        4.601092983564882,
        4.601113486033588,
        4.601133511700696,
        4.6011535373678045,
        4.601173563034913,
        4.601193588702021,
        4.601213614369129,
        4.601234116837835,
        4.601254142504943,
        4.6012741681720515,
        4.60129419383916,
        4.601314219506268,
        4.601334245173376,
        4.601354747642082,
        4.60137477330919,
        4.601394798976298,
        4.601414824643407,
        4.601434850310515,
        4.601454875977623,
        4.601474901644731,
        4.601495404113438,
        4.601515429780545,
        4.601535455447654,
        4.601555481114762,
        4.60157550678187,
        4.601595532448978,
        4.6016155581160865,
        4.601635583783195,
        4.601655609450303,
        4.601676111919009,
        4.601696137586117,
        4.601716163253225,
        4.601736188920333,
        4.601756214587442,
        4.60177624025455,
        4.601796265921658,
        4.601816291588766,
        4.6018363172558745,
        4.601856342922983,
        4.601876368590091,
        4.601896394257199,
        4.601916419924307,
        4.601936922393013,
        4.6019569480601215,
        4.60197697372723,
        4.601996999394338,
        4.602017025061446,
        4.602177230398311,
        4.60219725606542,
        4.602217281732528,
        4.602237307399636,
        4.602257333066745,
        4.602277358733852,
        4.602297384400961,
        4.602317410068069,
        4.602337435735177,
        4.602357461402286,
        4.602377487069393,
        4.602397512736502,
        4.60241753840361,
        4.602437564070718,
        4.602457589737826,
        4.6024776154049345,
        4.602497641072043,
        4.602517189937553,
        4.602537215604661,
        4.60255724127177,
        4.602577266938877,
        4.602597292605986,
        4.6026173182730945,
        4.602637343940202,
        4.602657369607311,
        4.602677395274418,
        4.602697420941527,
        4.602717446608635,
        4.602737472275743,
        4.602757497942852,
        4.6027775236099595,
        4.60279707247547,
        4.6028170981425784,
        4.602837123809686,
        4.602857149476795,
        4.602877175143903,
        4.602897200811011,
        4.6029172264781195,
        4.602937252145227,
        4.602957277812336,
        4.602976826677846,
        4.602996852344954,
        4.603016878012062,
        4.603036903679171,
        4.603056929346279,
        4.603076955013387,
        4.603096980680495,
        4.603116529546005,
        4.603136555213114,
        4.603156580880222,
        4.60317660654733,
        4.603196632214439,
        4.603216657881546,
        4.603236206747057,
        4.603256232414165,
        4.603276258081273,
        4.6032962837483815,
        4.60331630941549,
        4.6033358582810004,
        4.603355883948108,
        4.603375909615217,
        4.603395935282324,
        4.603415960949433,
        4.603435509814943,
        4.603455535482052,
        4.60347556114916,
        4.603495586816268,
        4.603515612483376,
        4.603535161348886,
        4.603555187015995,
        4.603575212683102,
        4.603595238350211,
        4.603614787215721,
        4.60363481288283,
        4.603654838549938,
        4.603674864217046,
        4.603694413082557,
        4.603714438749664,
        4.603734464416773,
        4.603754490083881,
        4.603774038949392,
        4.603794064616499,
        4.603814090283608,
        4.603834115950716,
        4.603853664816226,
        4.603873690483335,
        4.603893716150442,
        4.6039132650159535,
        4.603933290683061,
        4.60395331635017,
        4.6039733420172775,
        4.603992890882788,
        4.604012916549896,
        4.604032942217004,
        4.6040524910825145,
        4.604072516749623,
        4.604092542416732,
        4.604112091282242,
        4.60413211694935,
        4.604152142616458,
        4.604171691481969,
        4.604191717149076,
        4.604211742816185,
        4.604231291681695,
        4.604251317348804,
        4.6042713430159115,
        4.604290891881422,
        4.60431091754853,
        4.604330943215638,
        4.604350492081148,
        4.604370517748257,
        4.604390066613767,
        4.604410092280876,
        4.604430117947984,
        4.604449666813494,
        4.604469692480603,
        4.604489241346113,
        4.604509267013221,
        4.604529292680329,
        4.6045488415458395,
        4.604568867212947,
        4.604588416078458,
        4.604608441745566,
        4.604628467412675,
        4.604648016278185,
        4.604668041945293,
        4.604687590810803,
        4.604707616477912,
        4.604727642145019,
        4.60474719101053,
        4.604767216677638,
        4.604786765543149,
        4.604806791210257,
        4.604826340075768,
        4.604846365742875,
        4.604865914608386,
        4.604885940275494,
        4.604905489141005,
        4.604925514808112,
        4.604945540475221,
        4.604965089340731,
        4.60498511500784,
        4.60500466387335,
        4.605024689540458,
        4.605044238405968,
        4.605064264073077,
        4.605083812938587,
        4.605103838605695,
        4.605123387471205,
        4.605143413138314,
        4.605162962003824,
        4.605182987670933,
        4.605202536536443,
        4.605222562203551,
        4.605242111069061,
        4.60526213673617,
        4.60528168560168,
        4.60530123446719,
        4.605321260134298,
        4.6053408089998085,
        4.605360834666917,
        4.605380383532427,
        4.605400409199536,
        4.605419958065046,
        4.605439983732154,
        4.605459532597664,
        4.605479558264773,
        4.605499107130283,
        4.605518655995794,
        4.605538681662901,
        4.605558230528412,
        4.60557825619552,
        4.605597805061031,
        4.605617830728139,
        4.60563737959365,
        4.60565692845916,
        4.605676954126268,
        4.605696502991778,
        4.605716528658887,
        4.605736077524397,
        4.605755626389907,
        4.605775652057015,
        4.605795200922525,
        4.605814749788036,
        4.605834775455144,
        4.605854324320655,
        4.605874349987763,
        4.605893898853274,
        4.605913447718784,
        4.605933473385892,
        4.605953022251402,
        4.605972571116912,
        4.605992596784021,
        4.606012145649531,
        4.606031694515042,
        4.60605172018215,
        4.606071269047661,
        4.606090817913171,
        4.606110843580279,
        4.606130392445789,
        4.606149941311299,
        4.606169966978408,
        4.606189515843918,
        4.606209064709429,
        4.606229090376536,
        4.606248639242047,
        4.606268188107557,
        4.606288213774666,
        4.606307762640176,
        4.606327311505686,
        4.606346860371197,
        4.606366886038305,
        4.606386434903816,
        4.606405983769326,
        4.606426009436434,
        4.606445558301944,
        4.6064651071674545,
        4.606484656032965,
        4.606504681700073,
        4.606524230565584,
        4.606543779431094,
        4.6065633282966045,
        4.606583353963713,
        4.6066029028292235,
        4.606622451694734,
        4.606642000560244,
        4.606662026227352,
        4.606681575092862,
        4.606701123958373,
        4.606720672823883,
        4.606740221689393,
        4.606760247356502,
        4.606779796222012,
        4.606799345087523,
        4.606818893953033,
        4.606838919620141,
        4.606858468485651,
        4.606878017351161,
        4.606897566216672,
        4.606917115082183,
        4.606936663947693,
        4.606956689614801,
        4.6069762384803115,
        4.606995787345822,
        4.607015336211332,
        4.607034885076843,
        4.607054910743951,
        4.6070744596094615,
        4.607094008474972,
        4.607113557340482,
        4.607133106205993,
        4.607152655071503,
        4.607172203937013,
        4.607192229604121,
        4.607211778469631,
        4.607231327335142,
        4.607250876200653,
        4.607270425066163,
        4.607289973931674,
        4.607309522797184,
        4.607329548464292,
        4.607349097329802,
        4.6073686461953125,
        4.607388195060823,
        4.607407743926333,
        4.607427292791844,
        4.607446841657354,
        4.607466390522864,
        4.607485939388375,
        4.607505488253885,
        4.607525037119395,
        4.607545062786504,
        4.607564611652014,
        4.607584160517525,
        4.607603709383035,
        4.6076232582485455,
        4.607642807114056,
        4.607662355979566,
        4.607681904845077,
        4.607701453710587,
        4.607721002576097,
        4.607740551441608,
        4.607760100307118,
        4.607779649172628,
        4.607799198038139,
        4.607818746903649,
        4.6078382957691595,
        4.60785784463467,
        4.60787739350018,
        4.607896942365691,
        4.607916491231201,
        4.607936040096711,
        4.607955588962222,
        4.60797561462933,
        4.607995163494841,
        4.608014712360351,
        4.608034261225861,
        4.6080533332897735,
        4.608072882155284,
        4.608092431020794,
        4.608111979886305,
        4.608131528751815,
        4.608151077617325,
        4.608170626482837,
        4.608190175348347,
        4.608209724213857,
        4.608229273079368,
        4.608248821944878,
        4.608268370810388,
        4.608287919675899,
        4.608307468541409,
        4.6083270174069195,
        4.60834656627243,
        4.60836611513794,
        4.608385664003451,
        4.608405212868961,
        4.608424761734471,
        4.608444310599982,
        4.608463859465492,
        4.608482931529404,
        4.608502480394915,
        4.608522029260425,
        4.608541578125935,
        4.608561126991446,
        4.608580675856956,
        4.608600224722466,
        4.608619773587977,
        4.608639322453487,
        4.6086588713189975,
        4.608678420184508,
        4.608697492248421,
        4.608717041113931,
        4.608736589979442,
        4.608756138844952,
        4.608775687710462,
        4.608795236575973,
        4.608814785441483,
        4.608833857505395,
        4.608853406370906,
        4.608872955236416,
        4.608892504101927,
        4.608912052967438,
        4.608931601832948,
        4.608951150698458,
        4.608970222762371,
        4.608989771627881,
        4.609009320493391,
        4.609028869358902,
        4.609048418224412,
        4.609067967089922,
        4.609087039153835,
        4.609106588019346,
        4.609126136884856,
        4.6091456857503665,
        4.609165234615877,
        4.609184306679789,
        4.609203855545299,
        4.60922340441081,
        4.60924295327632,
        4.6092625021418305,
        4.609281574205744,
        4.609301123071254,
        4.609320671936764,
        4.609340220802275,
        4.609359292866187,
        4.609378841731697,
        4.609398390597208,
        4.609417939462718,
        4.609437011526631,
        4.609456560392141,
        4.609476109257652,
        4.609495658123162,
        4.609514730187074,
        4.609534279052585,
        4.609553827918095,
        4.609573376783605,
        4.609728337302895,
        4.609747886168406,
        4.609767435033916,
        4.609786507097828,
        4.609806055963339,
        4.609825604828849,
        4.609845153694359,
        4.6098642257582725,
        4.609883774623783,
        4.609903323489293,
        4.609922395553205,
        4.609941944418716,
        4.609961493284226,
        4.609980565348139,
        4.6100001142136495,
        4.61001966307916,
        4.610038735143072,
        4.610058284008582,
        4.6100773560724955,
        4.610096904938006,
        4.610116453803516,
        4.610135525867428,
        4.610155074732939,
        4.610174623598449,
        4.610193695662362,
        4.6102132445278725,
        4.610232316591785,
        4.610251865457295,
        4.610271414322805,
        4.6102904863867185,
        4.610310035252229,
        4.610329584117739,
        4.610348656181651,
        4.610368205047162,
        4.610387277111075,
        4.610406825976585,
        4.610425898040497,
        4.610445446906008,
        4.610464995771518,
        4.610484067835431,
        4.610503616700941,
        4.610522688764854,
        4.610542237630364,
        4.610561309694277,
        4.610580858559787,
        4.610600407425298,
        4.61061947948921,
        4.61063902835472,
        4.610658100418632,
        4.610677649284144,
        4.610696721348056,
        4.610716270213566,
        4.610735342277478,
        4.610754891142989,
        4.610773963206902,
        4.610793512072412,
        4.610812584136324,
        4.610832133001835,
        4.610851681867345,
        4.610870753931258,
        4.6108903027967685,
        4.610909374860681,
        4.610928923726191,
        4.610947995790104,
        4.610967544655614,
        4.610986616719527,
        4.61100568878344,
        4.61102523764895,
        4.611044309712862,
        4.6110638585783725,
        4.611082930642286,
        4.611102479507796,
        4.611121551571708,
        4.6111411004372185,
        4.6111601725011315,
        4.611179721366642,
        4.611198793430554,
        4.611218342296064,
        4.6112374143599775,
        4.61125648642389,
        4.6112760352894,
        4.611295107353313,
        4.611314656218823,
        4.611333728282736,
        4.611353277148246,
        4.611372349212159,
        4.611391421276071,
        4.6114109701415815,
        4.611430042205494,
        4.611449591071004,
        4.611468663134917,
        4.6114882120004275,
        4.61150728406434,
        4.611526356128253,
        4.611545904993763,
        4.611564977057675,
        4.611584049121588,
        4.611603597987099,
        4.611622670051011,
        4.611642218916521,
        4.611661290980434,
        4.611680363044346,
        4.611699911909857,
        4.61171898397377,
        4.611738056037682,
        4.611757604903192,
        4.611776676967105,
        4.611796225832616,
        4.611815297896528,
        4.611834369960441,
        4.611853918825951,
        4.6118729908898635,
        4.611892062953776,
        4.611911611819286,
        4.611930683883199,
        4.611949755947111,
        4.611968828011024,
        4.611988376876535,
        4.612007448940447,
        4.61202652100436,
        4.61204606986987,
        4.612065141933782,
        4.612084213997695,
        4.612103762863206,
        4.612122834927118,
        4.612141906991031,
        4.612161455856541,
        4.6121805279204535,
        4.612199599984367,
        4.612218672048279,
        4.612238220913789,
        4.612257292977702,
        4.612276365041614,
        4.6122954371055265,
        4.612314985971037,
        4.61233405803495,
        4.612353130098862,
        4.612372202162775,
        4.6123917510282855,
        4.612410823092198,
        4.612429895156111,
        4.612448967220023,
        4.612468516085533,
        4.612487588149446,
        4.612506660213358,
        4.6125257322772715,
        4.612545281142782,
        4.612564353206694,
        4.612583425270607,
        4.612602497334519,
        4.612621569398431,
        4.612641118263942,
        4.612660190327855,
        4.612679262391767,
        4.61269833445568,
        4.612717406519592,
        4.6127369553851025,
        4.612756027449016,
        4.612775099512928,
        4.612794171576841,
        4.612813243640753,
        4.612832315704666,
        4.612851864570176,
        4.6128709366340885,
        4.612890008698002,
        4.612909080761914,
        4.612928152825826,
        4.612947224889739,
        4.612966773755249,
        4.6129858458191615,
        4.6130049178830745,
        4.613023989946987,
        4.6130430620109,
        4.613062134074812,
        4.613081206138725,
        4.613100755004235,
        4.6131198270681475,
        4.6131388991320605,
        4.613157971195973,
        4.613177043259886,
        4.613196115323798,
        4.61321518738771,
        4.613234259451623,
        4.613253331515535,
        4.613272403579448,
        4.613291952444959,
        4.613311024508871,
        4.613330096572784,
        4.613349168636696,
        4.613368240700609,
        4.613387312764521,
        4.613406384828434,
        4.6134254568923465,
        4.613444528956259,
        4.613463601020172,
        4.613482673084084,
        4.613501745147997,
        4.613520817211909,
        4.613539889275822,
        4.6135594381413325,
        4.613578510205245,
        4.613597582269158,
        4.61361665433307,
        4.613635726396983,
        4.613654798460895,
        4.613673870524808,
        4.61369294258872,
        4.6137120146526325,
        4.6137310867165455,
        4.613750158780458,
        4.613769230844371,
        4.613788302908283,
        4.613807374972196,
        4.613826447036108,
        4.613845519100021,
        4.613864591163933,
        4.613883663227846,
        4.6139027352917585,
        4.613921807355671,
        4.613940879419584,
        4.613959951483496,
        4.613979023547409,
        4.613998095611321,
        4.614017167675234,
        4.614036239739146,
        4.614055311803059,
        4.6140743838669716,
        4.614093455930885,
        4.614112051193199,
        4.614131123257112,
        4.614150195321024,
        4.614169267384937,
        4.614188339448849,
        4.614207411512762,
        4.614226483576674,
        4.614245555640587,
        4.614264627704499,
        4.6142836997684125,
        4.614302771832325,
        4.614321843896238,
        4.61434091596015,
        4.614359988024062,
        4.614378583286377,
        4.61439765535029,
        4.614416727414202,
        4.614435799478115,
        4.614454871542027,
        4.61447394360594,
        4.6144930156698525,
        4.6145120877337655,
        4.614531159797678,
        4.6145497550599925,
        4.614568827123905,
        4.614587899187818,
        4.61460697125173,
        4.614626043315643,
        4.614645115379555,
        4.614664187443468,
        4.61468325950738,
        4.614701854769695,
        4.614720926833607,
        4.61473999889752,
        4.614759070961433,
        4.614778143025346,
        4.614797215089258,
        4.614815810351573,
        4.614834882415486,
        4.614853954479398,
        4.614873026543311,
        4.614892098607223,
        4.614910693869538,
        4.61492976593345,
        4.614948837997363,
        4.614967910061275,
        4.614986982125188,
        4.6150060541891005,
        4.615024649451415,
        4.615043721515328,
        4.6150627935792405,
        4.615081865643153,
        4.6151004609054675,
        4.615119532969381,
        4.615138605033293,
        4.615157677097206,
        4.615176749161118,
        4.615195344423433,
        4.615214416487345,
        4.615233488551258,
        4.61525256061517,
        4.615271155877485,
        4.615290227941398,
        4.61530930000531,
        4.615328372069223,
        4.615346967331538,
        4.61536603939545,
        4.6153851114593625,
        4.6154041835232755,
        4.61542277878559,
        4.6154418508495025,
        4.615460922913416,
        4.61547951817573,
        4.615498590239643,
        4.615517662303556,
        4.615536734367468,
        4.615555329629783,
        4.615574401693695,
        4.615593473757608,
        4.615612069019923,
        4.615631141083835,
        4.615650213147748,
        4.615668808410063,
        4.615687880473975,
        4.615706952537887,
        4.615725547800202,
        4.615744619864115,
        4.615763691928027,
        4.615782287190342,
        4.615801359254255,
        4.615820431318167,
        4.615839026580482,
        4.615858098644394,
        4.615877170708307,
        4.615895765970622,
        4.615914838034534,
        4.615933910098447,
        4.615952505360762,
        4.615971577424674,
        4.615990649488587,
        4.616009244750901,
        4.616028316814814,
        4.616046912077129,
        4.616065984141041,
        4.6160850562049545,
        4.616103651467269,
        4.6161227235311815,
        4.616141795595094,
        4.6161603908574085,
        4.6161794629213215,
        4.616198058183636,
        4.6162171302475485,
        4.616236202311462,
        4.616254797573776,
        4.616273869637689,
        4.6162924649000034,
        4.616311536963916,
        4.6163301322262305,
        4.6163492042901435,
        4.616368276354056,
        4.6163868716163705,
        4.616405943680284,
        4.6164245389425975,
        4.616443611006511,
        4.616462206268825,
        4.616481278332738,
        4.616499873595052,
        4.6165189456589655,
        4.616537540921279,
        4.6165566129851925,
        4.616575685049105,
        4.6165942803114195,
        4.6166133523753325,
        4.616631947637647,
        4.6166510197015596,
        4.616669614963874,
        4.616688687027787,
        4.616707282290101,
        4.6167263543540145,
        4.616744949616329,
        4.6167640216802415,
        4.616782616942556,
        4.6168016890064685,
        4.616820284268783,
        4.616839356332696,
        4.616857951595011,
        4.616877023658923,
        4.616895618921238,
        4.616914690985151,
        4.616933286247465,
        4.61695188150978,
        4.616970953573693,
        4.616989548836008,
        4.61700862089992,
        4.617027216162235,
        4.617046288226148,
        4.617064883488462,
        4.617083955552375,
        4.61710255081469,
        4.617121622878602,
        4.617140218140917,
        4.617158813403232,
        4.617177885467144,
        4.617196480729459,
        4.617215552793372,
        4.617234148055687,
        4.61740341262291,
        4.617422007885225,
        4.61744060314754,
        4.617459675211452,
        4.617478270473767,
        4.61749734253768,
        4.617515937799995,
        4.617534533062309,
        4.617553605126222,
        4.617572200388537,
        4.617590795650852,
        4.617609867714764,
        4.617628462977079,
        4.617647058239394,
        4.617666130303306,
        4.617684725565621,
        4.617703797629534,
        4.6177223928918485,
        4.617740988154163,
        4.6177600602180755,
        4.61777865548039,
        4.617797250742705,
        4.61781584600502,
        4.617834918068932,
        4.617853513331247,
        4.617872108593562,
        4.617891180657474,
        4.617909775919789,
        4.617928371182104,
        4.617947443246017,
        4.617966038508332,
        4.617984633770646,
        4.6180032290329605,
        4.6180223010968735,
        4.618040896359188,
        4.618059491621503,
        4.618078563685415,
        4.61809715894773,
        4.618115754210045,
        4.61813434947236,
        4.618153421536272,
        4.618172016798587,
        4.618190612060902,
        4.618209207323217,
        4.618228279387129,
        4.618246874649444,
        4.6182654699117585,
        4.618284065174073,
        4.6183031372379855,
        4.6183217325003,
        4.618340327762615,
        4.61835892302493,
        4.618377995088843,
        4.618396590351157,
        4.618415185613472,
        4.618433780875787,
        4.618452376138102,
        4.618471448202015,
        4.6184900434643295,
        4.618508638726643,
        4.618527233988958,
        4.618545829251273,
        4.618564901315186,
        4.618583496577501,
        4.618602091839815,
        4.61862068710213,
        4.618639282364445,
        4.618658354428358,
        4.6186769496906726,
        4.6186955449529865,
        4.618714140215301,
        4.618732735477616,
        4.618751330739931,
        4.618770402803844,
        4.618788998066159,
        4.618807593328473,
        4.618826188590788,
        4.618844783853103,
        4.6188633791154174,
        4.618881974377732,
        4.6189010464416445,
        4.618919641703959,
        4.618938236966274,
        4.618956832228589,
        4.618975427490904,
        4.618994022753219,
        4.6190126180155335,
        4.619031213277848,
        4.619049808540163,
        4.619068880604075,
        4.61908747586639,
        4.619106071128705,
        4.61912466639102,
        4.619143261653335,
        4.61916185691565,
        4.619180452177964,
        4.619199047440278,
        4.619217642702593,
        4.619236237964908,
        4.619254833227223,
        4.619273905291136,
        4.61929250055345,
        4.619311095815765,
        4.61932969107808,
        4.6193482863403945,
        4.619366881602709,
        4.619385476865024,
        4.619404072127339,
        4.619422667389654,
        4.619441262651969,
        4.619459857914283,
        4.6194784531765976,
        4.619497048438912,
        4.619515643701227,
        4.619534238963542,
        4.619552834225857,
        4.619571429488172,
        4.619590024750487,
        4.6196086200128015,
        4.619627215275116,
        4.61964581053743,
        4.619664405799745,
        4.61968300106206,
        4.619701596324375,
        4.61972019158669,
        4.6197387868490045,
        4.619757382111319,
        4.619775977373634,
        4.619794572635949,
        4.619813167898263,
        4.619831763160578,
        4.619850358422893,
        4.619868953685208,
        4.619887548947522,
        4.619906144209837,
        4.619924739472152,
        4.619943334734467,
        4.619961929996782,
        4.619980525259097,
        4.619999120521411,
        4.620017715783725,
        4.62003631104604,
        4.620054906308355,
        4.62007350157067,
        4.620092096832985,
        4.6201102152937015,
        4.620128810556016,
        4.620147405818331,
        4.620166001080646,
        4.620184596342961,
        4.620203191605276,
        4.6202217868675906,
        4.620240382129905,
        4.620258977392219,
        4.620277572654534,
        4.620296167916849,
        4.620314286377567,
        4.6203328816398805,
        4.620351476902195,
        4.62037007216451,
        4.620388667426825,
        4.62040726268914,
        4.620425857951455,
        4.62044445321377,
        4.6204630484760845,
        4.620481166936801,
        4.620499762199116,
        4.620518357461431,
        4.620536952723746,
        4.6205555479860605,
        4.620574143248375,
        4.620592261709092,
        4.620610856971407,
        4.620629452233722,
        4.6206480474960365,
        4.6206666427583505,
        4.620685238020665,
        4.62070383328298,
        4.620721951743698,
        4.620740547006012,
        4.6207591422683265,
        4.620777737530641,
        4.620796332792956,
        4.620814451253673,
        4.620833046515988,
        4.6208516417783025,
        4.620870237040617,
        4.620888832302932,
        4.620906950763649,
        4.620925546025964,
        4.620944141288279,
        4.620962736550593,
        4.620981331812908,
        4.620999450273625,
        4.62101804553594,
        4.621036640798255,
        4.6210552360605694,
        4.621073354521286,
        4.621091949783601,
        4.621110545045916,
        4.621129140308231,
        4.621147258768947,
        4.621165854031262,
        4.621184449293577,
        4.621203044555892,
        4.6212211630166085,
        4.621239758278923,
        4.621258353541238,
        4.621276948803553,
        4.62129506726427,
        4.6213136625265845,
        4.621332257788899,
        4.621350853051214,
        4.621368971511931,
        4.621387566774246,
        4.6214061620365605,
        4.621424280497278,
        4.621442875759592,
        4.621461471021907,
        4.621479589482624,
        4.621498184744939,
        4.621516780007253,
        4.621535375269568,
        4.621553493730286,
        4.6215720889926,
        4.621590684254914,
        4.621608802715632,
        4.621627397977947,
        4.621645993240262,
        4.621664111700978,
        4.621682706963293,
        4.621701302225608,
        4.621719420686325,
        4.621738015948639,
        4.621756611210954,
        4.621774729671671,
        4.621793324933986,
        4.621811443394702,
        4.621830038657017,
        4.621848633919332,
        4.62186675238005,
        4.621885347642364,
        4.621903942904678,
        4.621922061365396,
        4.621940656627711,
        4.6219587750884275,
        4.621977370350742,
        4.621995965613057,
        4.622014084073774,
        4.622032679336089,
        4.622050797796805,
        4.62206939305912,
        4.622087988321435,
        4.622106106782152,
        4.6221247020444665,
        4.622142820505184,
        4.622161415767499,
        4.622180011029813,
        4.62219812949053,
        4.622216724752845,
        4.622234843213562,
        4.622253438475877,
        4.622271556936593,
        4.622290152198908,
        4.622308747461223,
        4.62232686592194,
        4.6223454611842545,
        4.622363579644972,
        4.622382174907286,
        4.6224002933680035,
        4.622418888630318,
        4.622437007091035,
        4.62245560235335,
        4.6224737208140665,
        4.622492316076381,
        4.622510434537098,
        4.622529029799413,
        4.622547625061728,
        4.622565743522445,
        4.62258433878476,
        4.622602457245477,
        4.6226210525077915,
        4.622639170968508,
        4.622657766230823,
        4.62267588469154,
        4.6226944799538545,
        4.622712598414572,
        4.622730716875289,
        4.6227493121376035,
        4.62276743059832,
        4.622786025860635,
        4.622804144321352,
        4.6228227395836665,
        4.622840858044384,
        4.622859453306698,
        4.6228775717674155,
        4.62289616702973,
        4.622914285490447,
        4.622932880752762,
        4.6229509992134785,
        4.622969594475793,
        4.62298771293651,
        4.6230058313972275,
        4.623024426659542,
        4.623042545120259,
        4.623061140382574,
        4.6230792588432905,
        4.623097854105605,
        4.623115972566322,
        4.6231340910270395,
        4.623152686289354,
        4.623170804750071,
        4.623189400012386,
        4.6232075184731025,
        4.62322563693382,
        4.623244232196135,
        4.6232623506568515,
        4.623280945919166,
        4.623299064379883,
        4.6233171828406,
        4.6233357781029145,
        4.623353896563632,
        4.623372015024349,
        4.6233906102866635,
        4.62340872874738,
        4.623427324009695,
        4.623445442470412,
        4.623463560931129,
        4.623482156193444,
        4.623500274654161,
        4.623518393114877,
        4.623536988377192,
        4.62355510683791,
        4.623573225298626,
        4.623591820560941,
        4.623609939021658,
        4.6236280574823745,
        4.623646652744689,
        4.623664771205407,
        4.6236828896661235,
        4.623701484928438,
        4.623719603389155,
        4.6237377218498725,
        4.6237563171121865,
        4.623774435572904,
        4.623792554033621,
        4.6238111492959355,
        4.623829267756652,
        4.62384738621737,
        4.623865504678086,
        4.623884099940401,
        4.623902218401118,
        4.623920336861835,
        4.62393893212415,
        4.623957050584867,
        4.6239751690455835,
        4.623993287506301,
        4.624011882768615,
        4.6240300012293325,
        4.624048119690049,
        4.624066238150766,
        4.624084833413081,
        4.624102951873798,
        4.624121070334515,
        4.6241391887952314,
        4.624157784057546,
        4.624175902518264,
        4.6241940209789805,
        4.624212139439697,
        4.624230734702012,
        4.624248853162729,
        4.624266971623446,
        4.624285090084163,
        4.624303685346478,
        4.624321803807194,
        4.624339922267912,
        4.624358040728628,
        4.624376159189345,
        4.62439475445166,
        4.6244128729123775,
        4.624430991373094,
        4.624449109833811,
        4.624467228294528,
        4.624485823556842,
        4.62450394201756,
        4.624522060478276,
        4.624540178938993,
        4.624558297399711,
        4.624576415860427,
        4.624595011122742,
        4.624613129583459,
        4.624631248044176,
        4.624649366504893,
        4.6246674849656095,
        4.624685603426327,
        4.624704198688642,
        4.6247223171493586,
        4.624740435610075,
        4.624758554070793,
        4.624776672531509,
        4.624794790992226,
        4.6248129094529435,
        4.624831504715258,
        4.624849623175975,
        4.624867741636692,
        4.624885860097409,
        4.624903978558126,
        4.6249220970188425,
        4.62494021547956,
        4.624958333940277,
        4.6249769292025915,
        4.625158113809761,
        4.625176232270477,
        4.625194827532792,
        4.62521294599351,
        4.625231064454226,
        4.625249182914943,
        4.6252673013756604,
        4.625285419836377,
        4.625303538297094,
        4.625321656757811,
        4.625339775218528,
        4.6253578936792445,
        4.625376012139962,
        4.625394130600679,
        4.625412249061395,
        4.625430367522113,
        4.6254484859828295,
        4.6256840259721494,
        4.625702144432867,
        4.625720262893584,
        4.6257383813543,
        4.625756499815018,
        4.625774618275734,
        4.625792736736451,
        4.625810855197169,
        4.625828973657885,
        4.625847092118602,
        4.625865210579319,
        4.625883329040036,
        4.625901447500753,
        4.62591956596147,
        4.625937684422187,
        4.6259558028829035,
        4.625973921343621,
        4.625992039804338,
        4.626009681463457,
        4.626027799924174,
        4.62604591838489,
        4.626064036845608,
        4.6260821553063245,
        4.626100273767041,
        4.626118392227759,
        4.626136510688475,
        4.626154629149192,
        4.6261727476099095,
        4.626190866070626,
        4.626208984531343,
        4.626226626190462,
        4.62624474465118,
        4.626262863111896,
        4.626280981572613,
        4.6262991000333304,
        4.626317218494047,
        4.626335336954764,
        4.626353455415481,
        4.6263710970746,
        4.626389215535317,
        4.626407333996034,
        4.6264254524567505,
        4.626443570917468,
        4.626461689378185,
        4.626479807838901,
        4.626497449498021,
        4.626515567958737,
        4.626533686419455,
        4.6265518048801715,
        4.626569923340888,
        4.626588041801606,
        4.626606160262322,
        4.626623801921442,
        4.626641920382158,
        4.626660038842876,
        4.626678157303592,
        4.626696275764309,
        4.626713917423428,
        4.626732035884145,
        4.626750154344863,
        4.626768272805579,
        4.626786391266296,
        4.626804032925415,
        4.626822151386132,
        4.626840269846849,
        4.626858388307566,
        4.626876506768283,
        4.626894148427402,
        4.6269122668881195,
        4.626930385348836,
        4.626948503809553,
        4.626966145468672,
        4.626984263929389,
        4.627002382390106,
        4.627020500850823,
        4.62703861931154,
        4.627056260970659,
        4.627074379431376,
        4.627092497892093,
        4.62711061635281,
        4.627128258011929,
        4.627146376472646,
        4.627164494933363,
        4.62718261339408,
        4.627200255053199,
        4.627218373513916,
        4.6272364919746325,
        4.627254133633752,
        4.6272722520944685,
        4.627290370555186,
        4.627308489015903,
        4.627326130675022,
        4.627344249135739,
        4.627362367596456,
        4.627380009255575,
        4.627398127716292,
        4.627416246177009,
        4.627433887836128,
        4.627452006296845,
        4.627470124757561,
        4.627488243218279,
        4.627505884877398,
        4.627524003338115,
        4.6275421217988315,
        4.627559763457951,
        4.6275778819186675,
        4.627596000379385,
        4.6276136420385034,
        4.627631760499221,
        4.627649878959938,
        4.627667520619057,
        4.627685639079774,
        4.627703280738893,
        4.62772139919961,
        4.627739517660327,
        4.6277571593194455,
        4.627775277780163,
        4.62779339624088,
        4.627811037899999,
        4.627829156360716,
        4.627847274821433,
        4.627864916480552,
        4.627883034941269,
        4.627900676600388,
        4.627918795061105,
        4.627936913521822,
        4.627954555180941,
        4.627972673641658,
        4.627990315300777,
        4.628008433761494,
        4.628026552222211,
        4.62804419388133,
        4.628062312342047,
        4.628079954001167,
        4.628098072461883,
        4.6281161909226,
        4.628133832581719,
        4.628151951042436,
        4.628169592701555,
        4.628187711162272,
        4.628205352821391,
        4.628223471282109,
        4.628241589742825,
        4.628259231401945,
        4.628277349862661,
        4.628294991521781,
        4.628313109982497,
        4.628330751641617,
        4.628348870102333,
        4.6283665117614525,
        4.628384630222169,
        4.6284022718812885,
        4.628420390342005,
        4.6284380320011245,
        4.628456150461841,
        4.62847379212096,
        4.628491910581678,
        4.628509552240796,
        4.628527670701514,
        4.628545789162231,
        4.62856343082135,
        4.6285815492820666,
        4.628599190941186,
        4.6286173094019025,
        4.628634951061022,
        4.628652592720141,
        4.628670711180858,
        4.628688352839977,
        4.628706471300694,
        4.628724112959813,
        4.62874223142053,
        4.628759873079649,
        4.628777991540366,
        4.628795633199485,
        4.628813751660203,
        4.628831393319321,
        4.628849511780039,
        4.628867153439157,
        4.6288852718998745,
        4.628902913558994,
        4.628920555218112,
        4.62893867367883,
        4.628956315337948,
        4.628974433798666,
        4.628992075457785,
        4.629010193918502,
        4.629027835577621,
        4.6290454772367395,
        4.629063595697457,
        4.629081237356576,
        4.629099355817293,
        4.629116997476412,
        4.629135115937129,
        4.629152757596248,
        4.629170399255368,
        4.629188517716084,
        4.629206159375204,
        4.62922427783592,
        4.62924191949504,
        4.629259561154159,
        4.629277679614876,
        4.629295321273995,
        4.629312962933113,
        4.629331081393831,
        4.629348723052949,
        4.629366841513667,
        4.629384483172786,
        4.629402124831905,
        4.629420243292622,
        4.629437884951741,
        4.62945552661086,
        4.629473645071577,
        4.629491286730696,
        4.629508928389815,
        4.629527046850532,
        4.629544688509651,
        4.6295623301687705,
        4.629580448629487,
        4.6295980902886065,
        4.629615731947726,
        4.629633850408442,
        4.629651492067562,
        4.629669133726681,
        4.629687252187398,
        4.629704893846517,
        4.629722535505636,
        4.629740653966353,
        4.629758295625472,
        4.629775937284592,
        4.629794055745308,
        4.629811697404428,
        4.629829339063546,
        4.629846980722665,
        4.629865099183383,
        4.629882740842501,
        4.629900382501621,
        4.629918500962337,
        4.629936142621457,
        4.629953784280576,
        4.629971425939695,
        4.629989544400412,
        4.630007186059531,
        4.630024827718651,
        4.630042469377769,
        4.630060587838487,
        4.630078229497605,
        4.630095871156724,
        4.630113512815844,
        4.63013163127656,
        4.63014927293568,
        4.630166914594799,
        4.630184556253918,
        4.630202674714635,
        4.630220316373754,
        4.630237958032874,
        4.630255599691992,
        4.630273241351111,
        4.630291359811828,
        4.630309001470947,
        4.630326643130067,
        4.630344284789186,
        4.630361926448305,
        4.630380044909022,
        4.630397686568141,
        4.63041532822726,
        4.630432969886379,
        4.630450611545498,
        4.630468730006215,
        4.630486371665334,
        4.630504013324454,
        4.630521654983573,
        4.6305392966426915,
        4.630556938301811,
        4.6305750567625275,
        4.630592698421647,
        4.630610340080766,
        4.630627981739885,
        4.630645623399005,
        4.630663265058123,
        4.630681383518841,
        4.630699025177959,
        4.6307166668370785,
        4.630734308496198,
        4.630751950155317,
        4.6307695918144365,
        4.630787233473555,
        4.6308053519342725,
        4.630822993593391,
        4.63084063525251,
        4.6308582769116295,
        4.630875918570749,
        4.630893560229868,
        4.630911201888987,
        4.630928843548106,
        4.630946485207225,
        4.630964603667942,
        4.630982245327061,
        4.630999886986181,
        4.631017528645299,
        4.631035170304418,
        4.631052811963538,
        4.631070453622657,
        4.631088095281776,
        4.631105736940895,
        4.631123378600014,
        4.631141020259133,
        4.63115913871985,
        4.631176780378969,
        4.631194422038089,
        4.631212063697208,
        4.6312297053563265,
        4.631247347015446,
        4.631264988674565,
        4.6312826303336845,
        4.631300271992803,
        4.631317913651922,
        4.631335555311042,
        4.631353196970161,
        4.63137083862928,
        4.631388480288399,
        4.631406121947518,
        4.631423763606637,
        4.631441405265757,
        4.631459046924875,
        4.631476688583994,
        4.631494330243114,
        4.631511971902233,
        4.6315296135613515,
        4.631547255220471,
        4.63156489687959,
        4.6315825385387095,
        4.631600180197829,
        4.631617821856947,
        4.631635463516067,
        4.631653105175186,
        4.631670746834305,
        4.631688388493424,
        4.631706030152543,
        4.631723671811662,
        4.631741313470782,
        4.631758955129901,
        4.631776596789019,
        4.631794238448139,
        4.631811880107258,
        4.631829521766377,
        4.631847163425496,
        4.631864805084615,
        4.6318824467437345,
        4.631900088402854,
        4.631917730061972,
        4.631935371721092,
        4.631953013380211,
        4.63197065503933,
        4.631987819896851,
        4.632005461555971,
        4.63202310321509,
        4.6320407448742085,
        4.632058386533328,
        4.632076028192447,
        4.6320936698515665,
        4.632111311510685,
        4.632128953169804,
        4.6321465948289235,
        4.632164236488043,
        4.632181878147162,
        4.632199043004683,
        4.632216684663802,
        4.632234326322921,
        4.63225196798204,
        4.63226960964116,
        4.632287251300279,
        4.6323048929593975,
        4.632322534618517,
        4.632340176277636,
        4.632357341135157,
        4.632374982794277,
        4.632392624453396,
        4.632410266112514,
        4.632427907771634,
        4.632445549430753,
        4.632463191089872,
        4.6324803559473935,
        4.632497997606513,
        4.632515639265632,
        4.632533280924751,
        4.63255092258387,
        4.632568564242989,
        4.63258572910051,
        4.63260337075963,
        4.632621012418749,
        4.6326386540778675,
        4.632656295736987,
        4.632673937396106,
        4.632691102253627,
        4.632708743912747,
        4.632726385571866,
        4.632744027230984,
        4.632761668890104,
        4.632778833747625,
        4.632796475406744,
        4.632814117065863,
        4.632831758724983,
        4.632849400384102,
        4.6330243865705,
        4.633042028229618,
        4.633059669888738,
        4.633077311547857,
        4.633094476405378,
        4.633112118064497,
        4.633129759723617,
        4.633147401382735,
        4.633164566240257,
        4.633182207899376,
        4.633199849558495,
        4.633217014416016,
        4.633234656075135,
        4.633252297734255,
        4.633269939393374,
        4.633287104250895,
        4.6333047459100145,
        4.633322387569133,
        4.633339552426655,
        4.633357194085773,
        4.633392477404012,
        4.633409642261533,
        4.6334272839206525,
        4.633444925579772,
        4.633462090437293,
        4.633479732096412,
        4.633497373755531,
        4.633514538613053,
        4.633532180272171,
        4.6335498219312905,
        4.633566986788812,
        4.633584628447931,
        4.63360227010705,
        4.633619434964571,
        4.633637076623691,
        4.63365471828281,
        4.633671883140331,
        4.6336895247994505,
        4.63370716645857,
        4.633724331316091,
        4.633741972975209,
        4.633759614634329,
        4.63377677949185,
        4.633794421150969,
        4.63381158600849,
        4.63382922766761,
        4.633846869326729,
        4.63386403418425,
        4.633881675843369,
        4.633899317502489,
        4.63391648236001,
        4.633934124019129,
        4.63395128887665,
        4.63396893053577,
        4.633986572194889,
        4.63400373705241,
        4.6340213787115285,
        4.6340385435690505,
        4.634056185228169,
        4.634073826887288,
        4.634090991744809,
        4.634108633403929,
        4.63412579826145,
        4.634143439920569,
        4.63416060477809,
        4.63417824643721,
        4.634195888096329,
        4.63421305295385,
        4.634230694612969,
        4.634247859470491,
        4.63426550112961,
        4.634282665987131,
        4.63430030764625,
        4.6343174725037715,
        4.634335114162891,
        4.63435275582201,
        4.634369920679531,
        4.634387562338651,
        4.634404727196172,
        4.634422368855291,
        4.634439533712812,
        4.6344571753719315,
        4.634474340229453,
        4.634491981888572,
        4.634509146746093,
        4.634526788405212,
        4.6345439532627335,
        4.634561594921853,
        4.634578759779374,
        4.634596401438493,
        4.634613566296014,
        4.634631207955134,
        4.634648372812655,
        4.634666014471774,
        4.634683179329295,
        4.634700820988415,
        4.634717985845936,
        4.634735627505055,
        4.634752792362576,
        4.634770434021695,
        4.634787598879217,
        4.634805240538335,
        4.634822405395857,
        4.6348400470549755,
        4.6348572119124976,
        4.634874376770019,
        4.634892018429138,
        4.634909183286659,
        4.6349268249457785,
        4.6349439898033,
        4.634961631462419,
        4.63497879631994,
        4.634996437979059,
        4.6350136028365805,
        4.635030767694102,
        4.635048409353221,
        4.635065574210742,
        4.635083215869861,
        4.6351003807273825,
        4.635117545584904,
        4.635135187244023,
        4.635152352101544,
        4.636662621162621,
        4.638242503256978,
        4.638263482527282,
        4.638283984995988,
        4.638304487464694,
        4.638325466734998,
        4.638345969203704,
        4.63836647167241,
        4.638386974141116,
        4.63840795341142,
        4.638428455880126,
        4.638448958348832,
        4.638469937619136,
        4.638490440087842,
        4.638510942556548,
        4.6385314450252535,
        4.638552424295558,
        4.6385729267642635,
        4.638593429232969,
        4.638613931701675,
        4.638634910971979,
        4.638655413440685,
        4.638675915909391,
        4.638696418378097,
        4.638717397648401,
        4.638737900117107,
        4.638758402585813,
        4.638778905054519,
        4.638799884324823,
        4.638820386793529,
        4.638840889262235,
        4.638861391730941,
        4.638881894199647,
        4.6389028734699504,
        4.638923375938657,
        4.638943878407363,
        4.638964380876069,
        4.638984883344775,
        4.639005862615079,
        4.639026365083785,
        4.639046867552491,
        4.639067370021197,
        4.6390878724899025,
        4.639108374958608,
        4.6391293542289125,
        4.639149856697618,
        4.639170359166324,
        4.639190861635031,
        4.639211364103737,
        4.639231866572443,
        4.639252369041149,
        4.639273348311453,
        4.639293850780159,
        4.6393143532488645,
        4.63933485571757,
        4.639355358186276,
        4.639375860654982,
        4.639396363123688,
        4.639416865592395,
        4.639437844862698,
        4.639458347331404,
        4.639478849800111,
        4.639499352268817,
        4.6395198547375225,
        4.639540357206228,
        4.639560859674934,
        4.63958136214364,
        4.639601864612346,
        4.639622367081053,
        4.639642869549759,
        4.639663372018465,
        4.639684351288769,
        4.6397048537574745,
        4.63972535622618,
        4.639745858694886,
        4.639766361163592,
        4.639786863632298,
        4.639807366101004,
        4.639827868569711,
        4.639848371038417,
        4.6398688735071225,
        4.639889375975828,
        4.639909878444534,
        4.63993038091324,
        4.639950883381946,
        4.639971385850653,
        4.639991888319359,
        4.640012390788065,
        4.6400328932567705,
        4.640053395725476,
        4.640073898194182,
        4.640094400662888,
        4.640114903131595,
        4.640135405600301,
        4.640155908069007,
        4.640176410537713,
        4.6401969130064185,
        4.640217415475124,
        4.64023791794383,
        4.640258420412537,
        4.640278922881243,
        4.640299425349949,
        4.640319927818655,
        4.6403404302873605,
        4.640360932756066,
        4.640381435224772,
        4.640401937693479,
        4.640421963360587,
        4.640442465829293,
        4.6404629682979985,
        4.640483470766705,
        4.640503973235411,
        4.640524475704117,
        4.640544978172823,
        4.640565480641529,
        4.640585983110235,
        4.640606485578941,
        4.640626988047647,
        4.640647490516353,
        4.640667516183461,
        4.640688018652167,
        4.640708521120874,
        4.6407290235895795,
        4.640749526058285,
        4.640770028526991,
        4.640790530995697,
        4.640811033464403,
        4.640831059131512,
        4.640954073943748,
        4.6409740996108555,
        4.640994602079561,
        4.641015104548268,
        4.641035607016974,
        4.64105610948568,
        4.641076611954386,
        4.641096637621494,
        4.6411171400902,
        4.641137642558906,
        4.641158145027612,
        4.641178647496318,
        4.6411986731634265,
        4.641219175632132,
        4.641239678100838,
        4.641260180569544,
        4.64128068303825,
        4.641300708705359,
        4.6413212111740645,
        4.64134171364277,
        4.641362216111476,
        4.641382241778585,
        4.641402744247291,
        4.641423246715997,
        4.6414437491847025,
        4.641463774851811,
        4.641484277320517,
        4.641504779789223,
        4.641525282257929,
        4.641545307925037,
        4.641565810393743,
        4.641586312862449,
        4.641606815331155,
        4.6416268409982635,
        4.641647343466969,
        4.641667845935675,
        4.641688348404381,
        4.64170837407149,
        4.641728876540196,
        4.6417493790089015,
        4.64176940467601,
        4.641789907144716,
        4.641810409613422,
        4.64183043528053,
        4.641850937749236,
        4.641871440217942,
        4.64189146588505,
        4.641911968353757,
        4.6419324708224625,
        4.64195249648957,
        4.641972998958276,
        4.641993501426983,
        4.6420135270940905,
        4.642034029562796,
        4.642054532031502,
        4.642074557698611,
        4.642095060167317,
        4.642115562636023,
        4.642135588303131,
        4.642156090771837,
        4.642176593240543,
        4.642196618907652,
        4.6422171213763574,
        4.642237147043465,
        4.642257649512172,
        4.642278151980878,
        4.6422981776479855,
        4.642318680116691,
        4.6423387057838,
        4.642359208252506,
        4.642379710721212,
        4.64239973638832,
        4.642420238857026,
        4.642440264524135,
        4.642460766992841,
        4.6424812694615465,
        4.642501295128655,
        4.642521797597361,
        4.642541823264469,
        4.6425623257331745,
        4.642582351400283,
        4.642602853868989,
        4.642623356337695,
        4.642643382004803,
        4.642663884473509,
        4.642683910140618,
        4.642704412609324,
        4.642724438276431,
        4.642744940745137,
        4.642764966412246,
        4.642785468880952,
        4.64280549454806,
        4.642825997016766,
        4.642846022683874,
        4.642866525152581,
        4.642886550819688,
        4.642907053288394,
        4.642927078955503,
        4.642947581424209,
        4.642967607091317,
        4.642988109560023,
        4.643008135227131,
        4.643028637695837,
        4.643048663362945,
        4.643069165831651,
        4.64308919149876,
        4.643109693967466,
        4.643129719634573,
        4.64315022210328,
        4.643170247770388,
        4.643190273437496,
        4.643210775906202,
        4.64323080157331,
        4.643251304042017,
        4.643271329709124,
        4.64329183217783,
        4.643311857844939,
        4.643332360313645,
        4.643352385980753,
        4.643372411647861,
        4.643392914116567,
        4.643412939783675,
        4.643433442252381,
        4.64345346791949,
        4.6434734935865976,
        4.643493996055303,
        4.643514021722412,
        4.643534524191118,
        4.6435545498582265,
        4.643574575525334,
        4.64359507799404,
        4.643615103661149,
        4.6436356061298545,
        4.643655631796963,
        4.643675657464071,
        4.643696159932777,
        4.643716185599885,
        4.643736211266994,
        4.6437567137357,
        4.643776739402807,
        4.643796765069916,
        4.643817267538622,
        4.64383729320573,
        4.643857318872838,
        4.643877821341544,
        4.6438978470086525,
        4.643917872675761,
        4.643938375144467,
        4.643958400811575,
        4.643978426478683,
        4.643998928947389,
        4.644018954614498,
        4.644038980281605,
        4.644059482750311,
        4.64407950841742,
        4.6440995340845275,
        4.644119559751636,
        4.644140062220342,
        4.6441600878874505,
        4.644180113554558,
        4.644200616023264,
        4.644220641690373,
        4.644240667357481,
        4.644260693024589,
        4.644281195493295,
        4.644301221160403,
        4.644321246827511,
        4.64434127249462,
        4.6443617749633255,
        4.644381800630434,
        4.644401826297542,
        4.64442185196465,
        4.644442354433356,
        4.644462380100465,
        4.644482405767572,
        4.644502431434681,
        4.644522933903387,
        4.6445429595704955,
        4.644562985237603,
        4.644583010904712,
        4.644603036571819,
        4.644623539040525,
        4.644643564707634,
        4.644663590374742,
        4.64468361604185,
        4.644703641708959,
        4.6447241441776645,
        4.644744169844772,
        4.644764195511881,
        4.644784221178989,
        4.644804246846097,
        4.644824272513206,
        4.6448447749819115,
        4.64486480064902,
        4.644884826316128,
        4.644904851983236,
        4.644924877650344,
        4.644944903317453,
        4.64496492898456,
        4.644985431453267,
        4.645005457120375,
        4.645025482787483,
        4.645045508454591,
        4.6450655341216995,
        4.645085559788807,
        4.645105585455916,
        4.645125611123024,
        4.64514611359173,
        4.645166139258838,
        4.6451861649259465,
        4.645206190593054,
        4.645226216260163,
        4.645246241927271,
        4.645346370262812,
        4.645366872731518,
        4.645386898398626,
        4.6454069240657345,
        4.645426949732842,
        4.645446975399951,
        4.645467001067059,
        4.645487026734167,
        4.645507052401276,
        4.645527078068383,
        4.645547103735492,
        4.6455671294025995,
        4.645587155069708,
        4.645607180736817,
        4.645627206403924,
        4.645647232071033,
        4.645667257738141,
        4.645687283405249,
        4.645707309072358,
        4.645727334739465,
        4.645747360406574,
        4.645767386073682,
        4.64578741174079,
        4.645807437407898,
        4.6458274630750065,
        4.645847488742115,
        4.645867514409223,
        4.645887540076331,
        4.645907565743439,
        4.645927591410548,
        4.645947617077656,
        4.645967642744764,
        4.645987668411872,
        4.64600769407898,
        4.646027719746089,
        4.646047745413196,
        4.646067771080305,
        4.6460877967474135,
        4.646107822414521,
        4.64612784808163,
        4.646147873748737,
        4.646167899415846,
        4.646187925082954,
        4.646207473948464,
        4.646227499615573,
        4.646247525282681,
        4.646267550949789,
        4.646287576616897,
        4.646307602284005,
        4.646327627951114,
        4.646347653618222,
        4.64636767928533,
        4.6463877049524385,
        4.646407730619546,
        4.6464272794850565,
        4.646447305152165,
        4.646467330819273,
        4.646487356486381,
        4.64650738215349,
        4.646527407820598,
        4.646547433487706,
        4.646567459154814,
        4.646587008020324,
        4.646607033687433,
        4.646627059354541,
        4.646647085021649,
        4.646667110688758,
        4.646687136355865,
        4.646706685221376,
        4.646726710888484,
        4.646746736555592,
        4.6467667622227005,
        4.646786787889809,
        4.646806813556917,
        4.646826362422427,
        4.646846388089536,
        4.646866413756643,
        4.646886439423752,
        4.6469064650908605,
        4.646926013956371,
        4.6469460396234785,
        4.646966065290587,
        4.646986090957695,
        4.647006116624803,
        4.647025665490314,
        4.647045691157421,
        4.64706571682453,
        4.6470857424916385,
        4.647105768158746,
        4.647125317024257,
        4.647145342691365,
        4.647165368358473,
        4.647185394025581,
        4.647204942891092,
        4.6472249685582,
        4.647244994225308,
        4.647265019892417,
        4.647284568757927,
        4.647304594425035,
        4.647324620092143,
        4.647344645759251,
        4.647364194624762,
        4.64738422029187,
        4.647404245958978,
        4.647423794824489,
        4.647443820491596,
        4.647463846158705,
        4.647483871825813,
        4.647503420691323,
        4.647523446358432,
        4.64754347202554,
        4.6475630208910506,
        4.647583046558158,
        4.647603072225267,
        4.647622621090777,
        4.647642646757885,
        4.647662672424993,
        4.647682221290504,
        4.647702246957612,
        4.64772227262472,
        4.64774182149023,
        4.647761847157339,
        4.647781872824447,
        4.647801421689957,
        4.647821447357066,
        4.647841473024174,
        4.6478610218896845,
        4.647881047556792,
        4.647901073223901,
        4.647920622089411,
        4.647940647756519,
        4.647960196622029,
        4.647980222289138,
        4.6480002479562454,
        4.648019796821756,
        4.648039822488864,
        4.648059371354375,
        4.648079397021483,
        4.648099422688591,
        4.648118971554101,
        4.64813899722121,
        4.64815854608672,
        4.648178571753828,
        4.6481985974209366,
        4.648218146286447,
        4.6482381719535555,
        4.648257720819066,
        4.6482777464861735,
        4.648297295351684,
        4.6483173210187925,
        4.6483373466859,
        4.6483568955514105,
        4.648376921218519,
        4.6483964700840295,
        4.648416495751138,
        4.648436044616648,
        4.648456070283756,
        4.648475619149266,
        4.648495644816375,
        4.648515193681885,
        4.648535219348993,
        4.648554768214503,
        4.648574793881612,
        4.648594342747122,
        4.648614368414231,
        4.648634394081339,
        4.648653942946849,
        4.6486739686139575,
        4.648693517479468,
        4.648713066344978,
        4.648733092012086,
        4.648752640877596,
        4.648772666544705,
        4.648792215410215,
        4.648812241077324,
        4.648831789942834,
        4.648851815609942,
        4.648871364475452,
        4.648891390142561,
        4.648910939008071,
        4.648930964675179,
        4.648990088073308,
        4.6490096369388185,
        4.649029662605927,
        4.6490492114714375,
        4.649069237138545,
        4.6490887860040555,
        4.649108811671164,
        4.649128360536674,
        4.649147909402185,
        4.6491679350692925,
        4.649187483934803,
        4.649207509601911,
        4.649227058467422,
        4.649246607332932,
        4.649266633000041,
        4.649286181865551,
        4.649306207532659,
        4.649325756398169,
        4.6493453052636795,
        4.649365330930788,
        4.649384879796298,
        4.649404905463406,
        4.6494244543289165,
        4.649444003194427,
        4.649464028861535,
        4.649483577727046,
        4.649503126592556,
        4.649523152259665,
        4.649542701125175,
        4.6495622499906855,
        4.649582275657793,
        4.6496018245233035,
        4.649621373388814,
        4.649641399055922,
        4.649660947921433,
        4.649680496786943,
        4.649700522454052,
        4.649720071319562,
        4.6497396201850725,
        4.64975964585218,
        4.6497791947176905,
        4.649798743583201,
        4.6498187692503095,
        4.64983831811582,
        4.64985786698133,
        4.649877415846841,
        4.649897441513948,
        4.649916990379459,
        4.649936539244969,
        4.6499565649120775,
        4.649976113777588,
        4.649995662643098,
        4.650015211508609,
        4.650035237175717,
        4.650054786041228,
        4.650074334906738,
        4.650093883772248,
        4.650113909439356,
        4.650133458304866,
        4.650153007170377,
        4.650172556035887,
        4.650192581702996,
        4.650212130568506,
        4.650231679434016,
        4.650251228299527,
        4.650271253966635,
        4.650290802832146,
        4.650310351697656,
        4.650329900563166,
        4.650349449428677,
        4.6503694750957845,
        4.650389023961295,
        4.650408572826805,
        4.650428121692316,
        4.650447670557826,
        4.6504676962249345,
        4.650487245090445,
        4.650506793955955,
        4.650526342821466,
        4.650545891686976,
        4.650565440552486,
        4.650585466219595,
        4.650605015085105,
        4.650624563950616,
        4.650644112816126,
        4.650663661681636,
        4.650683210547147,
        4.650703236214254,
        4.650722785079765,
        4.650742333945275,
        4.6507618828107855,
        4.650781431676296,
        4.650800980541806,
        4.650820529407317,
        4.650840078272827,
        4.6508601039399355,
        4.650879652805446,
        4.650899201670956,
        4.650918750536467,
        4.650938299401977,
        4.650957848267487,
        4.650977397132998,
        4.650996945998508,
        4.6510164948640185,
        4.651036520531127,
        4.651056069396637,
        4.651075618262148,
        4.651095167127658,
        4.6511147159931685,
        4.651134264858679,
        4.651153813724189,
        4.6511733625897,
        4.65119291145521,
        4.65121246032072,
        4.651232009186231,
        4.651251558051741,
        4.651271106917251,
        4.651290655782762,
        4.651310204648272,
        4.6513297535137825,
        4.651349302379293,
        4.6513693280464015,
        4.651388876911912,
        4.651408425777422,
        4.651427974642933,
        4.651447523508443,
        4.651467072373953,
        4.651486621239464,
        4.651506170104974,
        4.651525718970484,
        4.651545267835995,
        4.651564816701505,
        4.6515843655670155,
        4.651603914432526,
        4.651623463298036,
        4.651643012163547,
        4.651662561029057,
        4.651682109894567,
        4.651701658760078,
        4.651721207625588,
        4.6517402796895,
        4.651759828555011,
        4.651779377420521,
        4.651798926286031,
        4.651818475151542,
        4.651838024017052,
        4.651857572882562,
        4.651877121748073,
        4.651896670613583,
        4.6519162194790935,
        4.651935768344604,
        4.651955317210115,
        4.6519748660756255,
        4.651994414941136,
        4.652013963806646,
        4.652033512672157,
        4.652053061537667,
        4.652072133601579,
        4.6520916824670895,
        4.6521112313326,
        4.65213078019811,
        4.652150329063621,
        4.652169877929131,
        4.652189426794641,
        4.652208975660152,
        4.652228524525662,
        4.652247596589575,
        4.6522671454550855,
        4.652286694320596,
        4.652306243186106,
        4.652325792051617,
        4.652345340917127,
        4.652364889782637,
        4.652384438648148,
        4.65240351071206,
        4.65242305957757,
        4.6524426084430806,
        4.652462157308591,
        4.652481706174101,
        4.652501255039612,
        4.652520327103525,
        4.652539875969035,
        4.652559424834545,
        4.652578973700056,
        4.652598522565566,
        4.6526180714310765,
        4.652637143494989,
        4.652656692360499,
        4.652676241226009,
        4.65269579009152,
        4.65271533895703,
        4.652734411020943,
        4.652753959886454,
        4.652773508751964,
        4.652793057617474,
        4.652812606482985,
        4.652831678546897,
        4.652851227412407,
        4.652870776277918,
        4.652890325143428,
        4.652909397207341,
        4.652928946072851,
        4.652948494938362,
        4.652968043803872,
        4.652987115867784,
        4.653006664733295,
        4.653026213598805,
        4.653045762464316,
        4.653064834528228,
        4.653084383393739,
        4.653103932259249,
        4.6531234811247595,
        4.653142553188672,
        4.653162102054182,
        4.653181650919693,
        4.653201199785204,
        4.653220271849116,
        4.653239820714626,
        4.6532593695801365,
        4.653278441644049,
        4.653297990509559,
        4.65331753937507,
        4.6533366114389825,
        4.653356160304493,
        4.653375709170003,
        4.653395258035514,
        4.653414330099426,
        4.653433878964937,
        4.653453427830447,
        4.6534724998943595,
        4.65349204875987,
        4.65351159762538,
        4.653530669689292,
        4.653550218554803,
        4.653569767420314,
        4.653588839484226,
        4.653608388349737,
        4.653627460413649,
        4.653647009279159,
        4.6536665581446695,
        4.6536856302085825,
        4.653705179074093,
        4.653724727939603,
        4.653743800003515,
        4.653763348869026,
        4.653782420932939,
        4.653801969798449,
        4.6538215186639595,
        4.653840590727872,
        4.653860139593382,
        4.653879688458892,
        4.6538987605228055,
        4.653918309388316,
        4.653937381452228,
        4.653956930317738,
        4.653976002381651,
        4.653995551247162,
        4.654015100112672,
        4.654034172176584,
        4.654053721042095,
        4.654072793106008,
        4.654092341971518,
        4.65411141403543,
        4.654130962900941,
        4.654150511766451,
        4.654169583830364,
        4.654189132695874,
        4.654208204759787,
        4.654227753625297,
        4.65424682568921,
        4.65426637455472,
        4.6542854466186325,
        4.654304995484143,
        4.654324067548056,
        4.654343616413566,
        4.6543626884774785,
        4.654382237342989,
        4.654401309406902,
        4.654420858272412,
        4.654439930336324,
        4.654459479201835,
        4.654478551265748,
        4.654498100131258,
        4.65451717219517,
        4.654536721060681,
        4.654555793124594,
        4.654575341990104,
        4.654594414054016,
        4.654613962919527,
        4.654633034983439,
        4.65465258384895,
        4.654671655912862,
        4.654691204778373,
        4.654710276842285,
        4.654729825707795,
        4.654748897771708,
        4.654768446637219,
        4.654787518701131,
        4.654806590765044,
        4.654826139630554,
        4.654845211694466,
        4.654864760559977,
        4.65488383262389,
        4.6549033814894,
        4.654922453553312,
        4.654941525617225,
        4.654961074482736,
        4.654980146546648,
        4.654999695412158,
        4.655018767476071,
        4.655037839539983,
        4.655057388405494,
        4.655076460469407,
        4.655096009334917,
        4.655115081398829,
        4.655134153462742,
        4.655153702328253,
        4.655172774392165,
        4.655192323257675,
        4.655211395321588,
        4.6552304673855005,
        4.655250016251011,
        4.655269088314923,
        4.655288160378836,
        4.6553077092443464,
        4.655326781308259,
        4.655345853372172,
        4.655365402237682,
        4.655384474301594,
        4.655403546365507,
        4.655423095231018,
        4.65544216729493,
        4.655461239358843,
        4.655480788224353,
        4.655499860288265,
        4.655518932352178,
        4.655538481217689,
        4.655557553281601,
        4.655576625345514,
        4.655596174211024,
        4.6556152462749365,
        4.655634318338849,
        4.65565386720436,
        4.655672939268272,
        4.655692011332184,
        4.655711083396097,
        4.655730632261608,
        4.65574970432552,
        4.655768776389433,
        4.655787848453345,
        4.655807397318855,
        4.6558264693827685,
        4.655845541446681,
        4.655865090312191,
        4.655884162376104,
        4.655903234440016,
        4.655922306503929,
        4.65594185536944,
        4.655960927433352,
        4.655979999497265,
        4.655999071561177,
        4.656018620426687,
        4.6560376924905995,
        4.656056764554513,
        4.656075836618425,
        4.656094908682338,
        4.656114457547848,
        4.65613352961176,
        4.656152601675673,
        4.6561716737395855,
        4.656190745803499,
        4.656210294669009,
        4.656229366732921,
        4.656248438796834,
        4.656267510860746,
        4.656286582924659,
        4.65630613179017,
        4.656325203854082,
        4.656344275917994,
        4.656363347981907,
        4.656382420045819,
        4.656401492109732,
        4.656421040975243,
        4.656440113039155,
        4.656459185103068,
        4.65647825716698,
        4.656497329230893,
        4.656516401294805,
        4.656535950160316,
        4.656555022224229,
        4.656574094288141,
        4.656593166352054,
        4.656612238415966,
        4.656631310479878,
        4.656650382543791,
        4.656669454607703,
        4.656689003473214,
        4.656708075537127,
        4.656727147601039,
        4.656746219664952,
        4.656765291728864,
        4.656784363792777,
        4.656803435856689,
        4.6568225079206025,
        4.656841579984515,
        4.656861128850025,
        4.656880200913938,
        4.65689927297785,
        4.656918345041762,
        4.656937417105675,
        4.656956489169588,
        4.656975561233501,
        4.656994633297413,
        4.657013705361326,
        4.657032777425238,
        4.657051849489151,
        4.657070921553063,
        4.657089993616976,
        4.6571090656808884,
        4.657128137744801,
        4.657147209808714,
        4.657166281872626,
        4.657185830738136,
        4.657204902802049,
        4.657223974865961,
        4.6572430469298745,
        4.657262118993787,
        4.6572811910577,
        4.657300263121612,
        4.657319335185525,
        4.657338407249437,
        4.65735747931335,
        4.657376551377262,
        4.657395623441174,
        4.6574146955050875,
        4.657433767569,
        4.657452839632913,
        4.657471911696825,
        4.657490983760738,
        4.65751005582465,
        4.657529127888563,
        4.657548199952475,
        4.657567272016388,
        4.657585867278702,
        4.657604939342615,
        4.6576240114065275,
        4.6576430834704405,
        4.657662155534353,
        4.657681227598266,
        4.657700299662178,
        4.657719371726091,
        4.657738443790003,
        4.657757515853916,
        4.657776587917828,
        4.6577956599817405,
        4.6578147320456535,
        4.657833804109566,
        4.657852876173479,
        4.657871948237391,
        4.657890543499706,
        4.657909615563619,
        4.657928687627531,
        4.657947759691444,
        4.657966831755356,
        4.657985903819268,
        4.658004975883181,
        4.658024047947094,
        4.658043120011007,
        4.658062192074919,
        4.658080787337234,
        4.658099859401147,
        4.658118931465059,
        4.658138003528972,
        4.658157075592884,
        4.658176147656796,
        4.658195219720709,
        4.658213814983024,
        4.658232887046936,
        4.658251959110849,
        4.6582710311747615,
        4.6582901032386745,
        4.658309175302587,
        4.6583282473665,
        4.658346842628814,
        4.658365914692727,
        4.658384986756639,
        4.658404058820552,
        4.658423130884464,
        4.658442202948377,
        4.658460798210692,
        4.658479870274604,
        4.658498942338517,
        4.658518014402429,
        4.658537086466342,
        4.658555681728656,
        4.6585747537925695,
        4.658593825856482,
        4.658612897920395,
        4.658631969984307,
        4.658650565246622,
        4.658669637310535,
        4.658688709374447,
        4.658707781438359,
        4.658726376700674,
        4.658745448764587,
        4.658764520828499,
        4.658783592892412,
        4.658802188154727,
        4.658821260218639,
        4.658840332282552,
        4.658859404346464,
        4.658877999608779,
        4.658897071672691,
        4.6589161437366045,
        4.658935215800517,
        4.6589538110628315,
        4.6589728831267445,
        4.658991955190657,
        4.65901102725457,
        4.659029622516884,
        4.659048694580797,
        4.659067766644709,
        4.659086361907024,
        4.659105433970937,
        4.659124506034849,
        4.659143578098762,
        4.659162173361077,
        4.659181245424989,
        4.659200317488901,
        4.659218912751216,
        4.659237984815129,
        4.659257056879041,
        4.659275652141356,
        4.659294724205269,
        4.659313796269181,
        4.659332391531496,
        4.659351463595408,
        4.659370535659321,
        4.659389130921636,
        4.659408202985548,
        4.659427275049461,
        4.659445870311776,
        4.659464942375688,
        4.659484014439601,
        4.659502609701915,
        4.6595216817658285,
        4.659540277028143,
        4.6595593490920555,
        4.6595784211559685,
        4.659597016418283,
        4.6596160884821956,
        4.659635160546108,
        4.659653755808423,
        4.659672827872336,
        4.6596914231346505,
        4.659710495198563,
        4.659729567262476,
        4.6597481625247905,
        4.659767234588703,
        4.6597858298510175,
        4.65980490191493,
        4.659823973978843,
        4.659842569241158,
        4.65986164130507,
        4.659880236567385,
        4.659899308631297,
        4.659917903893612,
        4.659936975957525,
        4.659956048021437,
        4.659974643283752,
        4.659993715347665,
        4.66001231060998,
        4.660031382673892,
        4.660049977936207,
        4.660069050000119,
        4.660087645262434,
        4.660106717326347,
        4.6601253125886615,
        4.660144384652574,
        4.660163456716487,
        4.660182051978801,
        4.660201124042714,
        4.6602197193050285,
        4.660238791368941,
        4.6602573866312555,
        4.660276458695169,
        4.660295053957483,
        4.660314126021396,
        4.6603327212837105,
        4.660351793347623,
        4.6603703886099375,
        4.6603894606738505,
        4.660408055936165,
        4.6604271280000775,
        4.660445723262392,
        4.6604647953263045,
        4.660483390588619,
        4.660501985850934,
        4.660521057914847,
        4.660539653177161,
        4.660558725241074,
        4.660690322482071,
        4.660708917744386,
        4.660727989808298,
        4.660746585070613,
        4.660765657134526,
        4.66078425239684,
        4.660803324460753,
        4.660821919723068,
        4.660840514985383,
        4.660859587049295,
        4.66087818231161,
        4.660897254375523,
        4.660915849637837,
        4.6609344449001515,
        4.660953516964065,
        4.660972112226379,
        4.660991184290292,
        4.661009779552606,
        4.661028374814921,
        4.661047446878833,
        4.661066042141148,
        4.661084637403463,
        4.661103709467376,
        4.661122304729691,
        4.661140899992005,
        4.661159972055918,
        4.661178567318233,
        4.661197639382145,
        4.66121623464446,
        4.661234829906775,
        4.661253901970687,
        4.661272497233002,
        4.661291092495317,
        4.66131016455923,
        4.6613287598215445,
        4.661347355083859,
        4.6613664271477715,
        4.661385022410086,
        4.661403617672401,
        4.661422212934716,
        4.661441284998628,
        4.661459880260943,
        4.661478475523258,
        4.66149754758717,
        4.661516142849485,
        4.6615347381118,
        4.661553810175713,
        4.661572405438028,
        4.661591000700342,
        4.6616095959626564,
        4.6616286680265695,
        4.661647263288884,
        4.661665858551199,
        4.661684930615111,
        4.661703525877426,
        4.661722121139741,
        4.661740716402056,
        4.661759788465968,
        4.661778383728283,
        4.661796978990598,
        4.661815574252913,
        4.661834646316825,
        4.66185324157914,
        4.6618718368414545,
        4.661890432103769,
        4.661909027366084,
        4.661928099429996,
        4.661946694692311,
        4.661965289954626,
        4.661983885216941,
        4.662002957280854,
        4.662021552543168,
        4.662040147805483,
        4.6620587430677976,
        4.662077338330112,
        4.6620964103940254,
        4.662115005656339,
        4.662133600918654,
        4.662152196180969,
        4.662170791443284,
        4.662189863507197,
        4.662208458769511,
        4.662227054031826,
        4.662245649294141,
        4.6622642445564555,
        4.66228283981877,
        4.662301911882683,
        4.662320507144997,
        4.662339102407312,
        4.662357697669627,
        4.662376292931942,
        4.662394888194257,
        4.662413483456572,
        4.662432555520484,
        4.662451150782799,
        4.662469746045113,
        4.662488341307428,
        4.662506936569743,
        4.662525531832058,
        4.662544127094373,
        4.662563199158285,
        4.6625817944206,
        4.662600389682915,
        4.6626189849452295,
        4.662637580207544,
        4.662656175469859,
        4.662674770732174,
        4.662693365994488,
        4.662711961256803,
        4.662730556519118,
        4.662749628583031,
        4.662768223845346,
        4.66278681910766,
        4.662805414369974,
        4.662824009632289,
        4.662842604894604,
        4.662861200156919,
        4.662879795419234,
        4.662898390681549,
        4.6629169859438635,
        4.662935581206178,
        4.662954176468493,
        4.662972771730807,
        4.662991366993122,
        4.663009962255437,
        4.663028557517752,
        4.663047629581665,
        4.663066224843979,
        4.6630848201062935,
        4.663103415368608,
        4.663122010630923,
        4.663140605893238,
        4.663159201155553,
        4.663177796417868,
        4.663196391680183,
        4.6632149869424975,
        4.663233582204812,
        4.663252177467126,
        4.663270772729441,
        4.663289367991756,
        4.663307963254071,
        4.663326558516386,
        4.6633451537787005,
        4.663363749041015,
        4.66338234430333,
        4.663400939565645,
        4.66341953482796,
        4.663438130090274,
        4.663456725352589,
        4.6634753206149036,
        4.663493439075621,
        4.663512034337935,
        4.66353062960025,
        4.663549224862565,
        4.66356782012488,
        4.663586415387194,
        4.663605010649509,
        4.663623605911824,
        4.663642201174139,
        4.663660796436454,
        4.663679391698768,
        4.663697986961083,
        4.6637165822233975,
        4.663735177485712,
        4.663753772748027,
        4.663772368010342,
        4.663790486471059,
        4.6638090817333735,
        4.663827676995688,
        4.663846272258003,
        4.663864867520318,
        4.663883462782633,
        4.663902058044948,
        4.663920653307263,
        4.6639392485695765,
        4.663957367030294,
        4.663975962292609,
        4.663994557554924,
        4.664013152817238,
        4.664031748079553,
        4.664050343341867,
        4.664068938604182,
        4.664087533866497,
        4.664105652327214,
        4.664124247589529,
        4.664142842851843,
        4.664161438114158,
        4.664180033376473,
        4.664198628638788,
        4.664217223901103,
        4.6642353423618195,
        4.664253937624134,
        4.664272532886449,
        4.664291128148764,
        4.664309723411079,
        4.664328318673394,
        4.66434643713411,
        4.664365032396425,
        4.66438362765874,
        4.664402222921055,
        4.66442081818337,
        4.664438936644086,
        4.664457531906401,
        4.664476127168716,
        4.664494722431031,
        4.664513317693345,
        4.664531436154062,
        4.664550031416377,
        4.664568626678692,
        4.664587221941006,
        4.664605340401724,
        4.664623935664038,
        4.664642530926353,
        4.664661126188667,
        4.664679721450982,
        4.6646978399117,
        4.6647164351740145,
        4.664735030436328,
        4.664753625698643,
        4.664771744159361,
        4.664790339421676,
        4.6648089346839905,
        4.664827053144707,
        4.664845648407022,
        4.664864243669337,
        4.664882838931652,
        4.664900957392368,
        4.664919552654683,
        4.664938147916998,
        4.664956743179313,
        4.6649748616400295,
        4.664993456902344,
        4.665012052164659,
        4.665030170625376,
        4.665048765887691,
        4.6650673611500055,
        4.665085479610722,
        4.665104074873037,
        4.665122670135352,
        4.665141265397667,
        4.665159383858383,
        4.665177979120698,
        4.665196574383013,
        4.66521469284373,
        4.6652332881060445,
        4.665251883368359,
        4.665270001829076,
        4.665288597091391,
        4.665307192353706,
        4.665325310814423,
        4.665343906076737,
        4.665362501339052,
        4.66538061979977,
        4.665399215062084,
        4.665417333522801,
        4.665435928785116,
        4.665454524047431,
        4.665472642508147,
        4.665491237770462,
        4.665509833032777,
        4.665527951493494,
        4.665546546755809,
        4.665564665216525,
        4.66558326047884,
        4.665601855741155,
        4.6656199742018725,
        4.665638569464186,
        4.665656687924904,
        4.665675283187219,
        4.665693878449534,
        4.66571199691025,
        4.665730592172565,
        4.665748710633282,
        4.665767305895597,
        4.6657859011579115,
        4.665804019618628,
        4.665822614880943,
        4.66584073334166,
        4.6658593286039745,
        4.665877447064692,
        4.665896042327007,
        4.6659141607877235,
        4.665932756050038,
        4.665951351312353,
        4.66596946977307,
        4.665988065035385,
        4.666006183496101,
        4.666024778758416,
        4.666042897219133,
        4.666061492481448,
        4.666079610942165,
        4.66609820620448,
        4.666116324665197,
        4.6661349199275115,
        4.666153038388228,
        4.666171633650543,
        4.66618975211126,
        4.6662083473735745,
        4.666226465834292,
        4.666245061096607,
        4.6662631795573235,
        4.666281774819638,
        4.666299893280355,
        4.66631848854267,
        4.6663366070033865,
        4.666355202265701,
        4.666373320726419,
        4.666391915988733,
        4.66641003444945,
        4.666428629711765,
        4.666446748172482,
        4.666465343434797,
        4.666483461895513,
        4.666502057157828,
        4.666520175618545,
        4.66653877088086,
        4.666556889341577,
        4.666575007802294,
        4.666593603064609,
        4.666611721525325,
        4.66663031678764,
        4.666648435248358,
        4.666667030510672,
        4.666685148971389,
        4.666703267432106,
        4.666721862694421,
        4.666739981155137,
        4.666758576417452,
        4.66677669487817,
        4.666794813338886,
        4.666813408601201,
        4.666831527061918,
        4.666850122324233,
        4.666868240784949,
        4.666886359245667,
        4.666904954507982,
        4.666923072968698,
        4.666941668231013,
        4.66695978669173,
        4.6669779051524465,
        4.666996500414761,
        4.667014618875479,
        4.6670327373361955,
        4.66705133259851,
        4.667069451059227,
        4.667088046321542,
        4.6671061647822585,
        4.667124283242976,
        4.667142878505291,
        4.6671609969660075,
        4.667179115426724,
        4.667197710689039,
        4.6672158291497565,
        4.667233947610473,
        4.667252542872788,
        4.667270661333505,
        4.667288779794222,
        4.667307375056536,
        4.667325493517254,
        4.66734361197797,
        4.667362207240285,
        4.667380325701002,
        4.667398444161719,
        4.667416562622436,
        4.667435157884751,
        4.6674532763454675,
        4.667471394806185,
        4.667489990068499,
        4.6675081085292165,
        4.667526226989933,
        4.667544822252248,
        4.667562940712965,
        4.667581059173682,
        4.667599177634399,
        4.667617772896714,
        4.66763589135743,
        4.667654009818148,
        4.6676721282788645,
        4.667690723541179,
        4.667708842001896,
        4.667726960462613,
        4.66774507892333,
        4.667763674185645,
        4.667781792646362,
        4.667799911107078,
        4.667818029567796,
        4.667836624830111,
        4.667854743290827,
        4.667872861751544,
        4.6678909802122615,
        4.667909098672978,
        4.667927693935293,
        4.66794581239601,
        4.667963930856726,
        4.667982049317444,
        4.668000644579759,
        4.668018763040475,
        4.668036881501192,
        4.668054999961909,
        4.668073118422626,
        4.668091713684941,
        4.668109832145658,
        4.668127950606375,
        4.668146069067092,
        4.668164187527808,
        4.668182305988526,
        4.668200901250841,
        4.668219019711557,
        4.668237138172274,
        4.668255256632992,
        4.668273375093708,
        4.668291493554425,
        4.66831008881674,
        4.668328207277456,
        4.668346325738174,
        4.6683644441988905,
        4.668382562659607,
        4.668400681120325,
        4.668418799581041,
        4.668437394843356,
        4.668455513304073,
        4.66847363176479,
        4.668491750225507,
        4.668509868686224,
        4.668527987146941,
        4.668546105607658,
        4.6685642240683745,
        4.668582819330689,
        4.668600937791407,
        4.6686190562521235,
        4.66863717471284,
        4.668655293173558,
        4.668673411634274,
        4.668691530094991,
        4.6687096485557085,
        4.668727767016425,
        4.668745885477142,
        4.668764003937859,
        4.668782122398576,
        4.668800717660891,
        4.668818836121607,
        4.668836954582324,
        4.668855073043042,
        4.668873191503758,
        4.668891309964475,
        4.668909428425192,
        4.668927546885909,
        4.668945665346626,
        4.668963783807343,
        4.66898190226806,
        4.6690000207287765,
        4.669018139189494,
        4.669036257650211,
        4.669054376110927,
        4.669072494571645,
        4.6690906130323615,
        4.669108731493078,
        4.669126849953796,
        4.669144968414512,
        4.669163086875229,
        4.6691812053359465,
        4.669199323796663,
        4.66921744225738,
        4.669235560718097,
        4.669253679178814,
        4.669271797639531,
        4.669289916100248,
        4.669308034560965,
        4.669326153021681,
        4.669344271482399,
        4.669362389943116,
        4.669380508403832,
        4.66939862686455,
        4.669416745325266,
        4.669434863785983,
        4.669452982246701,
        4.669471100707417,
        4.669489219168134,
        4.669507337628851,
        4.669525456089568,
        4.669543574550285,
        4.669561693011002,
        4.669579811471719,
        4.669597929932436,
        4.669616048393153,
        4.66963416685387,
        4.669652285314587,
        4.669669926973706,
        4.669688045434423,
        4.66970616389514,
        4.6697242823558565,
        4.669742400816574,
        4.669760519277291,
        4.669778637738007,
        4.669796756198725,
        4.6698148746594415,
        4.669832993120158,
        4.669851111580876,
        4.669868753239994,
        4.669886871700712,
        4.669904990161428,
        4.669923108622145,
        4.669941227082862,
        4.669959345543579,
        4.669977464004296,
        4.669995582465013,
        4.670013224124133,
        4.670031342584849,
        4.670049461045566,
        4.670067579506283,
        4.670085697967,
        4.670103816427717,
        4.670121934888434,
        4.670139576547553,
        4.67015769500827,
        4.670175813468987,
        4.6701939319297034,
        4.670212050390421,
        4.670230168851138,
        4.670248287311854,
        4.670265928970974,
        4.67028404743169,
        4.670302165892408,
        4.670320284353124,
        4.670338402813841,
        4.67035604447296,
        4.670374162933678,
        4.6703922813943946,
        4.670410399855111,
        4.670428518315829,
        4.670446159974947,
        4.670464278435665,
        4.670482396896381,
        4.670500515357098,
        4.6705186338178155,
        4.670536275476934,
        4.6705543939376515,
        4.670572512398368,
        4.670590630859085,
        4.670608272518204,
        4.670626390978922,
        4.670644509439638,
        4.670662627900355,
        4.670680746361072,
        4.670698388020191,
        4.670716506480908,
        4.670734624941625,
        4.670752743402342,
        4.670770385061461,
        4.670788503522178,
        4.670806621982895,
        4.670824740443612,
        4.670842382102731,
        4.670860500563448,
        4.6708786190241645,
        4.670896260683284,
        4.670914379144001,
        4.670932497604718,
        4.670950616065435,
        4.670968257724554,
        4.670986376185271,
        4.671004494645988,
        4.6710221363051065,
        4.671040254765824,
        4.671058373226541,
        4.67107601488566,
        4.671094133346377,
        4.671112251807094,
        4.671130370267811,
        4.67114801192693,
        4.671166130387647,
        4.6711842488483635,
        4.671201890507483,
        4.6712200089681994,
        4.671238127428917,
        4.671255769088036,
        4.671273887548753,
        4.67129200600947,
        4.671309647668589,
        4.671327766129306,
        4.671345884590023,
        4.6713635262491415,
        4.671381644709859,
        4.671399286368978,
        4.671417404829695,
        4.671435523290412,
        4.671453164949531,
        4.671471283410248,
        4.671489401870965,
        4.671507043530084,
        4.671525161990801,
        4.6715428036499205,
        4.671560922110637,
        4.671579040571354,
        4.671596682230473,
        4.67161480069119,
        4.671632919151907,
        4.671650560811026,
        4.671668679271743,
        4.671686320930863,
        4.671704439391579,
        4.6717220810506985,
        4.671740199511415,
        4.671758317972132,
        4.671775959631251,
        4.671794078091968,
        4.671811719751087,
        4.671829838211805,
        4.671847479870923,
        4.671865598331641,
        4.671883716792357,
        4.671901358451477,
        4.671919476912193,
        4.6719371185713126,
        4.671955237032029,
        4.6719728786911485,
        4.671990997151865,
        4.6720086388109845,
        4.672026757271701,
        4.672044875732419,
        4.672062517391538,
        4.672080635852255,
        4.672098277511374,
        4.672116395972091,
        4.67213403763121,
        4.672152156091927,
        4.672169797751046,
        4.6721879162117625,
        4.672205557870882,
        4.6722236763315985,
        4.672241317990718,
        4.6722594364514345,
        4.672277078110554,
        4.672295196571271,
        4.67231283823039,
        4.672330956691107,
        4.672348598350226,
        4.672366716810943,
        4.672384358470062,
        4.672402476930779,
        4.672420118589899,
        4.672437760249017,
        4.6724558787097346,
        4.672473520368853,
        4.6724916388295705,
        4.67250928048869,
        4.6725273989494065,
        4.672545040608526,
        4.6725631590692425,
        4.672580800728362,
        4.672598919189078,
        4.672616560848198,
        4.672634202507317,
        4.672652320968034,
        4.672669962627153,
        4.67268808108787,
        4.672705722746989,
        4.672723841207706,
        4.672741482866825,
        4.672759124525944,
        4.672777242986661,
        4.67279488464578,
        4.672813003106497,
        4.672830644765616,
        4.672848286424736,
        4.672866404885452,
        4.672884046544572,
        4.672902165005288,
        4.6729198066644075,
        4.672937448323527,
        4.6729555667842435,
        4.672973208443363,
        4.6729913269040795,
        4.673008968563199,
        4.673026610222318,
        4.673044728683035,
        4.673062370342154,
        4.673080012001273,
        4.67309813046199,
        4.673115772121109,
        4.673133413780228,
        4.673151532240945,
        4.673169173900065,
        4.673186815559183,
        4.673204934019901,
        4.673222575679019,
        4.673240694139737,
        4.673258335798856,
        4.673275977457974,
        4.673293619117094,
        4.67331173757781,
        4.67332937923693,
        4.673347020896049,
        4.673365139356766,
        4.673382781015885,
        4.673400422675004,
        4.673418541135721,
        4.67343618279484,
        4.67345382445396,
        4.673471942914676,
        4.673489584573796,
        4.673507226232915,
        4.673524867892033,
        4.673542986352751,
        4.67356062801187,
        4.673578269670989,
        4.673596388131706,
        4.673614029790825,
        4.673631671449944,
        4.673649313109063,
        4.67366743156978,
        4.673685073228899,
        4.673702714888019,
        4.6737384750078546,
        4.673809518445929,
        4.673827160105048,
        4.673844801764167,
        4.673862443423286,
        4.673880561884003,
        4.673898203543122,
        4.673915845202242,
        4.673933486861361,
        4.674110857055747,
        4.674128975516465,
        4.674146617175584,
        4.674164258834702,
        4.674181900493822,
        4.674199542152941,
        4.67421718381206,
        4.674235302272777,
        4.674252943931896,
        4.674270585591016,
        4.674288227250134,
        4.674305868909253,
        4.674323510568373,
        4.674341629029089,
        4.674359270688209,
        4.674376912347328,
        4.674394554006446,
        4.674412195665566,
        4.674429837324685,
        4.674447478983804,
        4.674465597444521,
        4.67448323910364,
        4.67450088076276,
        4.674518522421878,
        4.6745361640809975,
        4.674553805740117,
        4.674571447399236,
        4.6745890890583555,
        4.674607207519072,
        4.674624849178191,
        4.67464249083731,
        4.674660132496429,
        4.6746777741555485,
        4.674695415814668,
        4.674713057473787,
        4.674730699132906,
        4.674748340792025,
        4.674765982451144,
        4.674784100911861,
        4.67480174257098,
        4.6748193842301,
        4.674837025889218,
        4.674854667548337,
        4.674872309207457,
        4.674889950866576,
        4.674907592525695,
        4.674925234184814,
        4.674942875843933,
        4.674960517503052,
        4.674978159162172,
        4.67499580082129,
        4.6750134424804095,
        4.675031084139529,
        4.675048725798648,
        4.6750663674577675,
        4.675084009116886,
        4.6751021275776035,
        4.675119769236722,
        4.675137410895841,
        4.6751550525549606,
        4.67517269421408,
        4.675190335873198,
        4.675207977532318,
        4.675225619191437,
        4.675243260850556,
        4.675260902509676,
        4.675278544168794,
        4.675296185827913,
        4.675313827487033,
        4.675331469146152,
        4.6753491108052705,
        4.67536675246439,
        4.675384394123509,
        4.6754020357826285,
        4.675419677441748,
        4.675437319100866,
        4.675454483958388,
        4.675472125617507,
        4.675489767276626,
        4.675507408935745,
        4.675525050594865,
        4.675542692253983,
        4.675560333913102,
        4.675577975572222,
        4.675595617231341,
        4.6756132588904595,
        4.675630900549579,
        4.675648542208698,
        4.6756661838678175,
        4.675683825526937,
        4.675701467186055,
        4.675719108845175,
        4.675736750504294,
        4.675754392163413,
        4.675771557020934,
        4.675789198680054,
        4.675806840339172,
        4.6758244819982915,
        4.675842123657411,
        4.67585976531653,
        4.6758774069756495,
        4.675895048634768,
        4.675912690293887,
        4.675930331953007,
        4.675947973612126,
        4.675965138469647,
        4.675982780128766,
        4.676000421787885,
        4.676018063447004,
        4.676035705106123,
        4.676053346765243,
        4.676070988424361,
        4.6760886300834805,
        4.676105794941002,
        4.676123436600121,
        4.67614107825924,
        4.67615871991836,
        4.676176361577479,
        4.676194003236597,
        4.676211644895717,
        4.676228809753238,
        4.676246451412357,
        4.6762640930714765,
        4.676281734730596,
        4.676299376389714,
        4.676317018048834,
        4.676334182906355,
        4.676351824565474,
        4.676369466224593,
        4.676387107883713,
        4.676404749542831,
        4.6764223912019505,
        4.676439556059472,
        4.676457197718591,
        4.67647483937771,
        4.67649248103683,
        4.676510122695949,
        4.67652728755347,
        4.676544929212589,
        4.676562570871708,
        4.676580212530827,
        4.6765978541899464,
        4.676615019047468,
        4.676632660706587,
        4.676650302365706,
        4.676667944024825,
        4.676685108882347,
        4.676702750541465,
        4.676720392200584,
        4.676738033859704,
        4.676755198717225,
        4.678445460381476,
        4.680240618397247,
        4.680261597667551,
        4.680282100136257,
        4.680303079406561,
        4.680324058676864,
        4.680344561145571,
        4.680365540415874,
        4.680386519686178,
        4.680407022154884,
        4.680428001425188,
        4.680448980695491,
        4.680469959965795,
        4.680490462434501,
        4.680511441704805,
        4.680532420975109,
        4.680552923443815,
        4.680573902714119,
        4.6805948819844225,
        4.680615384453128,
        4.6806363637234325,
        4.680657342993737,
        4.6806778454624425,
        4.680698824732747,
        4.68071980400305,
        4.6807403064717565,
        4.68076128574206,
        4.680781788210766,
        4.68080276748107,
        4.680823746751374,
        4.68084424922008,
        4.680865228490384,
        4.681135574996344,
        4.68115607746505,
        4.681177056735354,
        4.68119755920406,
        4.681218538474364,
        4.68123904094307,
        4.681260020213373,
        4.681280999483677,
        4.681301501952383,
        4.681322481222687,
        4.681342983691393,
        4.681363962961697,
        4.681384465430403,
        4.681405444700707,
        4.681425947169413,
        4.681446926439717,
        4.681467428908423,
        4.681488408178726,
        4.681508910647433,
        4.681529889917736,
        4.681550392386442,
        4.681571371656746,
        4.681591874125452,
        4.681612853395756,
        4.681633355864462,
        4.681654335134766,
        4.681674837603472,
        4.681695816873776,
        4.681716319342482,
        4.681737298612785,
        4.681757801081492,
        4.681778780351795,
        4.681799282820501,
        4.681819785289208,
        4.681840764559511,
        4.681861267028217,
        4.681882246298521,
        4.681902748767227,
        4.681923728037531,
        4.681944230506237,
        4.681965209776541,
        4.681985712245247,
        4.682006214713953,
        4.682027193984257,
        4.682047696452963,
        4.682068675723267,
        4.682089178191973,
        4.682109680660679,
        4.682130659930983,
        4.6821511623996885,
        4.682172141669993,
        4.6821926441386985,
        4.682213146607404,
        4.682234125877708,
        4.682254628346414,
        4.68231661255413,
        4.682337591824433,
        4.682358094293139,
        4.682378596761846,
        4.682399576032149,
        4.682420078500855,
        4.682440580969562,
        4.682461560239865,
        4.682482062708571,
        4.682502565177278,
        4.682523544447581,
        4.682544046916287,
        4.682564549384994,
        4.682585528655297,
        4.682606031124003,
        4.6826265335927095,
        4.682647512863013,
        4.682668015331719,
        4.682688517800425,
        4.682709020269131,
        4.6827299995394345,
        4.682750502008141,
        4.682771004476847,
        4.68279198374715,
        4.682812486215856,
        4.682832988684563,
        4.682853491153269,
        4.682874470423572,
        4.682894972892279,
        4.682915475360985,
        4.682935977829691,
        4.682956957099995,
        4.682977459568701,
        4.6829979620374065,
        4.683018464506112,
        4.6830394437764165,
        4.683059946245122,
        4.683080448713828,
        4.683100951182534,
        4.683121930452838,
        4.683142432921544,
        4.68316293539025,
        4.683183437858956,
        4.683203940327662,
        4.683224919597966,
        4.683245422066672,
        4.683265924535378,
        4.683286427004084,
        4.68330692947279,
        4.6833279087430935,
        4.6833484112118,
        4.683368913680506,
        4.683389416149212,
        4.683409918617918,
        4.683430421086624,
        4.683451400356928,
        4.683471902825634,
        4.68349240529434,
        4.6835129077630455,
        4.683533410231751,
        4.683553912700458,
        4.683574891970761,
        4.683595394439467,
        4.683615896908174,
        4.68363639937688,
        4.683656901845586,
        4.683677404314292,
        4.683697906782998,
        4.6837184092517035,
        4.6837393885220076,
        4.683759890990713,
        4.683780393459419,
        4.683800895928125,
        4.683821398396831,
        4.683841900865538,
        4.683862403334244,
        4.68388290580295,
        4.6839034082716555,
        4.683923910740361,
        4.683944413209067,
        4.683965392479371,
        4.683985894948077,
        4.684006397416783,
        4.684026899885489,
        4.684047402354196,
        4.684067904822902,
        4.684088407291608,
        4.6841089097603135,
        4.684129412229019,
        4.684149914697725,
        4.684170417166431,
        4.684190919635138,
        4.684211422103844,
        4.68423192457255,
        4.6842524270412556,
        4.684272929509961,
        4.684293431978667,
        4.684313934447373,
        4.68433443691608,
        4.684354939384786,
        4.684375441853492,
        4.684395944322198,
        4.6844164467909035,
        4.684436949259609,
        4.684457451728315,
        4.684477954197022,
        4.684498456665728,
        4.684518959134434,
        4.68453946160314,
        4.684559964071846,
        4.6845804665405515,
        4.684600969009257,
        4.684621471477964,
        4.68464197394667,
        4.684662476415376,
        4.684682978884082,
        4.684703481352788,
        4.684723983821494,
        4.6847444862901995,
        4.684764988758906,
        4.684785491227612,
        4.684805993696318,
        4.684826019363426,
        4.6848465218321325,
        4.684867024300838,
        4.684887526769544,
        4.68490802923825,
        4.684928531706956,
        4.684949034175662,
        4.684969536644368,
        4.6849900391130745,
        4.68501054158178,
        4.685030567248888,
        4.685051069717594,
        4.685071572186301,
        4.685092074655007,
        4.6851125771237125,
        4.685133079592418,
        4.685153582061124,
        4.68517408452983,
        4.685194110196939,
        4.685214612665645,
        4.6852351151343505,
        4.685255617603056,
        4.685276120071762,
        4.685296622540469,
        4.685317125009175,
        4.685337150676283,
        4.6853576531449885,
        4.685378155613695,
        4.685398658082401,
        4.685419160551107,
        4.685439663019813,
        4.6854596886869215,
        4.685480191155627,
        4.685500693624333,
        4.685521196093039,
        4.685541698561745,
        4.685561724228854,
        4.6855822266975595,
        4.685602729166265,
        4.685623231634971,
        4.68564325730208,
        4.685663759770786,
        4.685684262239492,
        4.6857047647081975,
        4.685725267176903,
        4.685745292844012,
        4.685765795312718,
        4.685786297781424,
        4.68580680025013,
        4.685826825917238,
        4.685847328385944,
        4.68586783085465,
        4.685888333323356,
        4.685908358990464,
        4.68592886145917,
        4.685949363927876,
        4.685969389594985,
        4.685989892063691,
        4.6860103945323965,
        4.686030897001102,
        4.686050922668211,
        4.686071425136917,
        4.686091927605623,
        4.686111953272731,
        4.686132455741437,
        4.686152958210143,
        4.686173460678849,
        4.686193486345958,
        4.6862139888146634,
        4.686234491283369,
        4.686254516950477,
        4.686275019419184,
        4.68629552188789,
        4.686315547554997,
        4.686336050023703,
        4.68635655249241,
        4.686376578159518,
        4.686397080628224,
        4.6864175830969295,
        4.686437608764038,
        4.686458111232744,
        4.6864781368998525,
        4.686498639368558,
        4.686519141837264,
        4.686539167504373,
        4.686559669973079,
        4.686580172441785,
        4.686600198108892,
        4.686620700577599,
        4.686640726244707,
        4.686661228713413,
        4.6866817311821185,
        4.686701756849227,
        4.686722259317933,
        4.6867422849850415,
        4.686762787453747,
        4.686783289922453,
        4.686803315589562,
        4.686823818058268,
        4.686843843725375,
        4.686864346194082,
        4.68688437186119,
        4.686904874329896,
        4.686924899997004,
        4.68694540246571,
        4.686965904934416,
        4.686985930601525,
        4.687006433070231,
        4.687026458737338,
        4.687046961206045,
        4.687066986873153,
        4.687087489341859,
        4.687107515008967,
        4.687128017477673,
        4.687148043144782,
        4.6871685456134875,
        4.687188571280595,
        4.687209073749301,
        4.68722909941641,
        4.6872496018851155,
        4.687269627552224,
        4.68729013002093,
        4.687310155688038,
        4.687330658156744,
        4.687350683823852,
        4.687371186292558,
        4.687391211959667,
        4.6874117144283725,
        4.687431740095481,
        4.687452242564187,
        4.687472268231295,
        4.6874927707000005,
        4.687512796367109,
        4.687533298835815,
        4.6875533245029235,
        4.687573350170031,
        4.687593852638738,
        4.687613878305846,
        4.6876343807745515,
        4.68765440644166,
        4.687674908910366,
        4.6876949345774745,
        4.687714960244582,
        4.687735462713288,
        4.687755488380397,
        4.687775990849103,
        4.687796016516211,
        4.687816518984917,
        4.687836544652025,
        4.687856570319133,
        4.687877072787839,
        4.687897098454948,
        4.687917124122055,
        4.687937626590761,
        4.68795765225787,
        4.687978154726576,
        4.687998180393684,
        4.688018206060792,
        4.688038708529498,
        4.6880587341966065,
        4.688078759863714,
        4.688099262332421,
        4.688119287999529,
        4.688139313666637,
        4.688159816135343,
        4.688179841802452,
        4.688199867469559,
        4.688220369938265,
        4.688240395605374,
        4.688260421272481,
        4.688280923741188,
        4.688300949408296,
        4.6883209750754045,
        4.68834147754411,
        4.688361503211218,
        4.688381528878327,
        4.6884020313470325,
        4.688422057014141,
        4.688442082681249,
        4.688462108348357,
        4.688482610817063,
        4.688502636484172,
        4.688522662151279,
        4.688543164619985,
        4.688563190287094,
        4.688583215954202,
        4.68860324162131,
        4.688623744090016,
        4.688643769757125,
        4.688663795424232,
        4.688683821091341,
        4.688704323560047,
        4.688724349227155,
        4.688744374894263,
        4.688764400561372,
        4.6887849030300774,
        4.688804928697186,
        4.688824954364294,
        4.688844980031402,
        4.688865482500108,
        4.688885508167216,
        4.688905533834324,
        4.688925559501433,
        4.688945585168541,
        4.6889660876372465,
        4.688986113304355,
        4.689006138971463,
        4.689026164638571,
        4.68904619030568,
        4.689066692774386,
        4.6890867184414935,
        4.689106744108602,
        4.689126769775711,
        4.689146795442818,
        4.689166821109927,
        4.689187323578633,
        4.6892073492457405,
        4.689227374912849,
        4.689247400579958,
        4.689267426247065,
        4.689287451914174,
        4.6893074775812815,
        4.689327980049987,
        4.689348005717096,
        4.6893680313842045,
        4.689388057051312,
        4.689408082718421,
        4.6894281083855285,
        4.689448134052637,
        4.689468159719745,
        4.6894886621884515,
        4.689508687855559,
        4.689528713522668,
        4.689548739189775,
        4.689568764856884,
        4.689588790523993,
        4.6896088161911,
        4.689628841858209,
        4.6896488675253165,
        4.689668893192425,
        4.689689395661131,
        4.6897094213282395,
        4.689729446995347,
        4.689749472662456,
        4.6897694983295635,
        4.689789523996672,
        4.68980954966378,
        4.689829575330888,
        4.689849600997997,
        4.6898696266651045,
        4.689889652332213,
        4.689909677999321,
        4.689929703666429,
        4.689949729333538,
        4.689969755000646,
        4.689989780667754,
        4.690009806334862,
        4.69002983200197,
        4.690049857669078,
        4.690069883336187,
        4.690089909003295,
        4.690109934670403,
        4.6901299603375115,
        4.690149986004619,
        4.690170011671728,
        4.690190037338835,
        4.690210063005944,
        4.690230088673053,
        4.69025011434016,
        4.690270140007269,
        4.6902901656743765,
        4.690310191341485,
        4.690330217008594,
        4.690350242675701,
        4.69037026834281,
        4.690390294009918,
        4.690410319677026,
        4.690430345344134,
        4.690450371011242,
        4.690470396678351,
        4.690490422345459,
        4.690510448012567,
        4.690530473679675,
        4.690550022545185,
        4.690570048212294,
        4.690590073879402,
        4.69061009954651,
        4.690630125213619,
        4.690650150880726,
        4.690670176547835,
        4.690690202214943,
        4.690710227882051,
        4.69073025354916,
        4.690750279216267,
        4.690769828081778,
        4.690789853748886,
        4.690809879415994,
        4.690829905083103,
        4.690949582284154,
        4.690969607951262,
        4.69098963361837,
        4.691009659285479,
        4.6910296849525865,
        4.691049233818097,
        4.6910692594852055,
        4.691089285152313,
        4.691109310819422,
        4.69112933648653,
        4.691149362153638,
        4.691168911019148,
        4.691188936686257,
        4.691208962353365,
        4.691228988020473,
        4.691249013687581,
        4.691268562553091,
        4.6912885882202,
        4.691308613887308,
        4.691328639554416,
        4.691348665221525,
        4.691368214087035,
        4.691388239754143,
        4.691408265421251,
        4.69142829108836,
        4.6914483167554675,
        4.691467865620978,
        4.691487891288086,
        4.691507916955194,
        4.691527942622303,
        4.691547491487813,
        4.691567517154921,
        4.691587542822029,
        4.691607568489138,
        4.691627117354648,
        4.691647143021756,
        4.6916671686888645,
        4.691687194355972,
        4.6917067432214825,
        4.691726768888591,
        4.6917467945557,
        4.69176634342121,
        4.691786369088318,
        4.691806394755426,
        4.691826420422534,
        4.691845969288044,
        4.691865994955153,
        4.691886020622261,
        4.691905569487772,
        4.6919255951548795,
        4.691945620821988,
        4.691965169687498,
        4.691985195354606,
        4.692005221021715,
        4.692024769887225,
        4.692044795554333,
        4.692064821221441,
        4.692084370086952,
        4.69210439575406,
        4.692124421421168,
        4.692143970286678,
        4.692163995953787,
        4.6921840216208945,
        4.692203570486405,
        4.6922235961535135,
        4.692243621820622,
        4.692263170686132,
        4.69228319635324,
        4.6923027452187505,
        4.692322770885859,
        4.692342796552967,
        4.692362345418477,
        4.692382371085586,
        4.692401919951096,
        4.692421945618205,
        4.692441971285312,
        4.692461520150823,
        4.692481545817931,
        4.692501094683442,
        4.692521120350549,
        4.692541146017658,
        4.692560694883168,
        4.692580720550276,
        4.692600269415787,
        4.692620295082895,
        4.692639843948405,
        4.692659869615514,
        4.692679895282621,
        4.692699444148132,
        4.69271946981524,
        4.692739018680751,
        4.692759044347858,
        4.692778593213369,
        4.692798618880477,
        4.692818167745988,
        4.692838193413096,
        4.692857742278607,
        4.692877767945714,
        4.692897316811225,
        4.692917342478333,
        4.692937368145441,
        4.692956917010951,
        4.69297694267806,
        4.69299649154357,
        4.693016517210679,
        4.693036066076189,
        4.693056091743297,
        4.693075640608807,
        4.693095189474318,
        4.693115215141426,
        4.6931347640069365,
        4.693154789674044,
        4.693174338539555,
        4.693194364206663,
        4.6932139130721735,
        4.693233938739282,
        4.693253487604792,
        4.6932735132719,
        4.6932930621374105,
        4.693313087804519,
        4.693332636670029,
        4.69335218553554,
        4.6933722112026475,
        4.693391760068158,
        4.693411785735266,
        4.693431334600777,
        4.693451360267885,
        4.693470909133396,
        4.693490457998906,
        4.693510483666014,
        4.693530032531524,
        4.693550058198633,
        4.693569607064143,
        4.693589632731251,
        4.693609181596761,
        4.693628730462272,
        4.69364875612938,
        4.69366830499489,
        4.693687853860401,
        4.693707879527509,
        4.69372742839302,
        4.693747454060127,
        4.693767002925638,
        4.693786551791148,
        4.693806577458257,
        4.693826126323767,
        4.693845675189277,
        4.693865700856386,
        4.693885249721896,
        4.693904798587407,
        4.693924824254514,
        4.693944373120025,
        4.693963921985535,
        4.693983947652644,
        4.694003496518154,
        4.694023045383664,
        4.694043071050772,
        4.6940626199162825,
        4.694082168781793,
        4.694102194448901,
        4.694121743314412,
        4.694141292179922,
        4.694161317847031,
        4.694180866712541,
        4.6942004155780515,
        4.694220441245159,
        4.6942399901106695,
        4.69425953897618,
        4.69427908784169,
        4.694299113508799,
        4.694318662374309,
        4.6943382112398195,
        4.69435776010533,
        4.6943777857724385,
        4.694397334637949,
        4.694416883503459,
        4.69443643236897,
        4.694456458036077,
        4.694476006901588,
        4.694495555767098,
        4.694515104632608,
        4.694535130299717,
        4.694554679165227,
        4.694574228030738,
        4.694593776896248,
        4.694613802563356,
        4.694633351428866,
        4.694652900294376,
        4.694672449159887,
        4.694691998025397,
        4.694712023692506,
        4.694731572558016,
        4.6947511214235265,
        4.694770670289037,
        4.694790219154547,
        4.694810244821656,
        4.694829793687166,
        4.6948493425526765,
        4.694868891418187,
        4.694888440283697,
        4.694908465950805,
        4.694928014816315,
        4.694947563681826,
        4.694967112547336,
        4.694986661412846,
        4.695006210278357,
        4.695026235945465,
        4.695045784810976,
        4.695065333676486,
        4.695084882541996,
        4.695104431407507,
        4.695123980273017,
        4.6951435291385275,
        4.695163554805636,
        4.695183103671146,
        4.695202652536657,
        4.695222201402167,
        4.6952417502676775,
        4.695261299133188,
        4.695280847998698,
        4.695300396864209,
        4.695319945729719,
        4.695339971396827,
        4.695359520262337,
        4.695379069127848,
        4.695398617993359,
        4.695418166858869,
        4.695437715724379,
        4.69545726458989,
        4.6954768134554,
        4.6954963623209105,
        4.695515911186421,
        4.695535460051931,
        4.695555008917442,
        4.695574557782952,
        4.695594106648462,
        4.69561413231557,
        4.69563368118108,
        4.695653230046591,
        4.695672778912101,
        4.6956923277776115,
        4.695711876643122,
        4.695731425508632,
        4.695750974374143,
        4.695770523239653,
        4.695790072105163,
        4.695809620970674,
        4.695829169836185,
        4.695848718701695,
        4.695868267567206,
        4.695887816432716,
        4.695907365298226,
        4.695926914163737,
        4.695946463029247,
        4.6959660118947575,
        4.695985560760268,
        4.696005109625778,
        4.696024658491289,
        4.696044207356799,
        4.696063756222309,
        4.69608330508782,
        4.69610285395333,
        4.69612240281884,
        4.696141951684351,
        4.696161500549861,
        4.6961810494153715,
        4.696200121479284,
        4.696219670344794,
        4.696239219210304,
        4.696258768075815,
        4.696278316941325,
        4.6962978658068355,
        4.696317414672346,
        4.696336963537856,
        4.696356512403367,
        4.696376061268877,
        4.696395610134387,
        4.696415158999899,
        4.696434707865409,
        4.696454256730919,
        4.6964733287948315,
        4.696492877660342,
        4.696512426525852,
        4.696531975391363,
        4.696551524256873,
        4.696571073122383,
        4.696590621987894,
        4.696610170853404,
        4.696629719718914,
        4.6966487917828275,
        4.696668340648338,
        4.696687889513848,
        4.696707438379359,
        4.696726987244869,
        4.696746536110379,
        4.69676608497589,
        4.696785157039802,
        4.696804705905312,
        4.6968242547708225,
        4.696843803636333,
        4.696863352501843,
        4.696882901367354,
        4.696901973431267,
        4.696921522296777,
        4.696941071162287,
        4.696960620027798,
        4.696980168893308,
        4.6969997177588185,
        4.697018789822731,
        4.697038338688241,
        4.697057887553751,
        4.697077436419262,
        4.697096985284772,
        4.697116057348685,
        4.697135606214196,
        4.697155155079706,
        4.697174703945216,
        4.697194252810727,
        4.697213324874639,
        4.697232873740149,
        4.69725242260566,
        4.69727197147117,
        4.697291043535083,
        4.697310592400593,
        4.697330141266104,
        4.697349690131614,
        4.697368762195526,
        4.697388311061037,
        4.697407859926547,
        4.697427408792057,
        4.69744648085597,
        4.697466029721481,
        4.697485578586991,
        4.6975051274525015,
        4.697524199516414,
        4.697543748381924,
        4.697563297247434,
        4.697582369311347,
        4.697601918176858,
        4.697621467042368,
        4.6976410159078785,
        4.697660087971791,
        4.697679636837301,
        4.697699185702811,
        4.6977182577667245,
        4.697737806632235,
        4.697757355497745,
        4.697776427561657,
        4.697795976427168,
        4.697815525292678,
        4.697834597356591,
        4.6978541462221015,
        4.697873695087612,
        4.697892767151524,
        4.697912316017034,
        4.697931864882545,
        4.697950936946458,
        4.697970485811968,
        4.6979900346774786,
        4.698009106741391,
        4.698028655606901,
        4.6980482044724114,
        4.6980672765363245,
        4.698086825401835,
        4.698105897465747,
        4.698125446331257,
        4.698144995196768,
        4.698164067260681,
        4.698183616126191,
        4.698202688190103,
        4.698222237055614,
        4.698241785921124,
        4.698260857985037,
        4.6982804068505475,
        4.69829947891446,
        4.69831902777997,
        4.69833857664548,
        4.698357648709393,
        4.698377197574904,
        4.698396269638816,
        4.698415818504326,
        4.698434890568239,
        4.69845443943375,
        4.69847398829926,
        4.698493060363172,
        4.698512609228683,
        4.698531681292596,
        4.698551230158106,
        4.698570302222018,
        4.698589851087529,
        4.698608923151442,
        4.698628472016952,
        4.698647544080864,
        4.6986670929463745,
        4.698686641811885,
        4.698705713875798,
        4.698725262741308,
        4.6987443348052205,
        4.698763883670731,
        4.698782955734644,
        4.698802504600154,
        4.698821576664066,
        4.698841125529577,
        4.69886019759349,
        4.698879746459,
        4.698898818522912,
        4.698918367388423,
        4.698937439452335,
        4.698956988317845,
        4.698976060381758,
        4.6989951324456705,
        4.699014681311181,
        4.699033753375094,
        4.699053302240604,
        4.699072374304516,
        4.699091923170027,
        4.69911099523394,
        4.69913054409945,
        4.699149616163362,
        4.699169165028873,
        4.699188237092786,
        4.699207309156698,
        4.699226858022208,
        4.699245930086121,
        4.699265478951632,
        4.699284551015544,
        4.699304099881054,
        4.699323171944967,
        4.6993422440088795,
        4.69936179287439,
        4.699380864938303,
        4.699400413803813,
        4.699419485867725,
        4.6994385579316384,
        4.699458106797149,
        4.699477178861061,
        4.699496727726571,
        4.6995157997904835,
        4.699534871854397,
        4.699669806706578,
        4.69968887877049,
        4.699708427636001,
        4.699727499699914,
        4.699746571763826,
        4.699766120629336,
        4.699785192693249,
        4.699804264757161,
        4.699823813622672,
        4.699842885686585,
        4.699861957750497,
        4.699881506616007,
        4.69990057867992,
        4.6999196507438326,
        4.699939199609343,
        4.699958271673255,
        4.699977343737168,
        4.69999641580108,
        4.700015964666591,
        4.700035036730504,
        4.700054108794416,
        4.700073657659926,
        4.700092729723839,
        4.7001118017877515,
        4.7001308738516645,
        4.700150422717175,
        4.700169494781087,
        4.700188566845,
        4.7002081157105104,
        4.700227187774423,
        4.700246259838336,
        4.700265331902248,
        4.700284880767758,
        4.700303952831671,
        4.700323024895583,
        4.700342096959496,
        4.700361645825006,
        4.700380717888919,
        4.700399789952831,
        4.700418862016744,
        4.700437934080656,
        4.700457482946167,
        4.70047655501008,
        4.700495627073992,
        4.700514699137905,
        4.700534248003415,
        4.7005533200673275,
        4.700572392131241,
        4.700591464195153,
        4.700610536259066,
        4.700629608322978,
        4.700649157188488,
        4.7006682292524005,
        4.7006873013163135,
        4.700706373380226,
        4.700725445444139,
        4.700744994309649,
        4.700764066373561,
        4.700783138437474,
        4.7008022105013865,
        4.7008212825652995,
        4.700840354629212,
        4.700859903494722,
        4.700878975558635,
        4.700898047622547,
        4.70091711968646,
        4.7009361917503725,
        4.700955263814285,
        4.700974335878198,
        4.700993884743708,
        4.70101295680762,
        4.701032028871533,
        4.701051100935445,
        4.7010701729993585,
        4.701089245063271,
        4.701108317127184,
        4.701127389191096,
        4.701146461255009,
        4.701166010120519,
        4.701185082184431,
        4.701204154248344,
        4.701223226312257,
        4.701242298376169,
        4.701261370440082,
        4.701280442503994,
        4.701299514567907,
        4.701318586631819,
        4.701337658695732,
        4.701356730759644,
        4.7013758028235575,
        4.701395351689068,
        4.70141442375298,
        4.701433495816893,
        4.701452567880805,
        4.701471639944717,
        4.7014907120086304,
        4.701509784072543,
        4.701528856136456,
        4.701547928200368,
        4.701567000264281,
        4.701586072328193,
        4.701605144392106,
        4.701624216456018,
        4.701643288519931,
        4.7016623605838435,
        4.701681432647756,
        4.701700504711669,
        4.701719576775581,
        4.701738648839494,
        4.701757720903406,
        4.701776792967319,
        4.701795865031231,
        4.701814937095144,
        4.7018340091590565,
        4.7018530812229695,
        4.701872153286882,
        4.701891225350795,
        4.701910297414707,
        4.701929369478619,
        4.701948441542532,
        4.701967513606444,
        4.701986585670357,
        4.7020056577342695,
        4.7020247297981825,
        4.702043801862095,
        4.702062873926008,
        4.70208194598992,
        4.702101018053833,
        4.702119613316147,
        4.70213868538006,
        4.702157757443972,
        4.702176829507885,
        4.702195901571797,
        4.70221497363571,
        4.7022340456996226,
        4.702253117763536,
        4.702272189827448,
        4.702291261891361,
        4.702310333955273,
        4.702329406019185,
        4.7023480012815,
        4.702367073345413,
        4.702386145409325,
        4.702405217473238,
        4.70242428953715,
        4.7024433616010635,
        4.702462433664976,
        4.702481505728889,
        4.702500577792801,
        4.702519173055116,
        4.702538245119028,
        4.702557317182941,
        4.702576389246853,
        4.702595461310766,
        4.702614533374678,
        4.702633605438591,
        4.702652200700906,
        4.702671272764818,
        4.7026903448287305,
        4.7027094168926435,
        4.702728488956556,
        4.702747561020469,
        4.702766156282784,
        4.702785228346696,
        4.702804300410609,
        4.702823372474521,
        4.702842444538434,
        4.702861516602346,
        4.702880111864661,
        4.702899183928573,
        4.702918255992486,
        4.702937328056398,
        4.7029564001203115,
        4.702974995382626,
        4.7029940674465385,
        4.7030131395104515,
        4.703032211574364,
        4.7030508068366785,
        4.703069878900591,
        4.703088950964504,
        4.703108023028416,
        4.703127095092329,
        4.703145690354644,
        4.703164762418556,
        4.703183834482469,
        4.703202906546381,
        4.703221501808696,
        4.703240573872608,
        4.703259645936521,
        4.703278718000433,
        4.703297313262748,
        4.703316385326661,
        4.7033354573905735,
        4.7033545294544865,
        4.7033731247168005,
        4.7033921967807135,
        4.703411268844626,
        4.7034298641069405,
        4.703448936170854,
        4.703468008234766,
        4.703487080298679,
        4.703505675560994,
        4.703524747624906,
        4.703543819688818,
        4.703562414951133,
        4.703581487015046,
        4.703600559078958,
        4.703619154341273,
        4.703638226405186,
        4.703657298469098,
        4.703675893731413,
        4.703694965795325,
        4.703714037859238,
        4.703732633121553,
        4.703751705185465,
        4.703770777249378,
        4.703789372511693,
        4.703808444575605,
        4.703827516639517,
        4.703846111901832,
        4.703865183965745,
        4.703884256029657,
        4.703902851291972,
        4.703921923355885,
        4.7039409954197975,
        4.703959590682112,
        4.7039786627460245,
        4.703997258008339,
        4.704016330072252,
        4.704035402136165,
        4.704053997398479,
        4.7040730694623925,
        4.704091664724707,
        4.7041107367886195,
        4.704129808852532,
        4.7041484041148465,
        4.7041674761787595,
        4.704186071441074,
        4.7042051435049865,
        4.7042242155689,
        4.7042428108312135,
        4.704261882895127,
        4.704280478157441,
        4.704299550221354,
        4.704318622285267,
        4.7043372175475815,
        4.704356289611494,
        4.7043748848738085,
        4.704393956937721,
        4.7044125522000355,
        4.704431624263949,
        4.704450219526263,
        4.704469291590176,
        4.70448788685249,
        4.7045069589164035,
        4.704526030980316,
        4.7045446262426305,
        4.704563698306543,
        4.7045822935688575,
        4.7046013656327705,
        4.704619960895085,
        4.7046390329589975,
        4.704657628221312,
        4.7046767002852246,
        4.704695295547539,
        4.7047143676114525,
        4.704732962873767,
        4.7047520349376795,
        4.704770630199994,
        4.7047897022639065,
        4.704808297526221,
        4.704827369590134,
        4.704845964852449,
        4.704865036916361,
        4.704883632178676,
        4.704902227440991,
        4.704921299504903,
        4.704939894767218,
        4.704958966831131,
        4.704977562093446,
        4.704996634157358,
        4.705015229419673,
        4.705034301483585,
        4.7050528967459,
        4.705071968809813,
        4.705090564072128,
        4.705109159334443,
        4.705128231398355,
        4.70514682666067,
        4.705165898724582,
        4.705184493986897,
        4.70520356605081,
        4.705222161313125,
        4.7052407565754395,
        4.705259828639352,
        4.7052784239016665,
        4.705297495965579,
        4.7053160912278935,
        4.705334686490208,
        4.705353758554121,
        4.705372353816436,
        4.705391425880348,
        4.705410021142663,
        4.705428616404978,
        4.70544768846889,
        4.705466283731205,
        4.70548487899352,
        4.705503951057432,
        4.705522546319747,
        4.705541141582062,
        4.705560213645975,
        4.70557880890829,
        4.705597880972202,
        4.705616476234517,
        4.705635071496832,
        4.705654143560744,
        4.705672738823059,
        4.705691334085373,
        4.7057104061492865,
        4.7057290014116,
        4.705747596673915,
        4.705766668737828,
        4.705803859262458,
        4.70582293132637,
        4.705841526588685,
        4.705860121851,
        4.705878717113315,
        4.705897789177227,
        4.705916384439542,
        4.705934979701857,
        4.705954051765769,
        4.705972647028084,
        4.7059912422903984,
        4.706009837552713,
        4.706028909616626,
        4.70604750487894,
        4.706066100141255,
        4.706085172205168,
        4.706103767467483,
        4.706122362729798,
        4.706140957992113,
        4.706160030056025,
        4.70617862531834,
        4.706197220580655,
        4.706215815842969,
        4.706234887906882,
        4.7062534831691964,
        4.706272078431511,
        4.706290673693826,
        4.706309745757738,
        4.706328341020053,
        4.706346936282368,
        4.706365531544683,
        4.706384126806998,
        4.70640319887091,
        4.706421794133225,
        4.7064403893955395,
        4.706458984657854,
        4.706477579920169,
        4.706496651984081,
        4.706515247246396,
        4.706533842508711,
        4.706552437771026,
        4.706571033033341,
        4.706590105097253,
        4.706608700359568,
        4.706627295621883,
        4.7066458908841975,
        4.706664486146512,
        4.706683081408827,
        4.706702153472739,
        4.706720748735054,
        4.706739343997369,
        4.706757939259684,
        4.706776534521999,
        4.706795129784314,
        4.706814201848226,
        4.706832797110541,
        4.706851392372855,
        4.70686998763517,
        4.706888582897485,
        4.7069071781598,
        4.706925773422115,
        4.706944845486027,
        4.706963440748342,
        4.706982036010657,
        4.7070006312729715,
        4.707019226535286,
        4.707037821797601,
        4.707056417059915,
        4.70707501232223,
        4.707093607584545,
        4.70711220284686,
        4.707131274910773,
        4.707149870173088,
        4.707168465435402,
        4.707187060697716,
        4.707205655960031,
        4.707224251222346,
        4.707242846484661,
        4.707261441746976,
        4.707280037009291,
        4.7072986322716055,
        4.70731722753392,
        4.707335822796234,
        4.707354418058549,
        4.707373013320864,
        4.707392085384777,
        4.707410680647092,
        4.707429275909407,
        4.707447871171721,
        4.7074664664340355,
        4.70748506169635,
        4.707503656958665,
        4.70752225222098,
        4.707540847483295,
        4.70755944274561,
        4.707578038007925,
        4.7075966332702395,
        4.707615228532553,
        4.707633823794868,
        4.707652419057183,
        4.707671014319498,
        4.707689609581813,
        4.707708204844128,
        4.7077268001064425,
        4.707745395368757,
        4.707763990631072,
        4.707782585893387,
        4.707801181155701,
        4.707819776418016,
        4.707838371680331,
        4.7078569669426455,
        4.70787556220496,
        4.707894157467275,
        4.70791275272959,
        4.707931347991905,
        4.70794994325422,
        4.707968538516534,
        4.707986656977251,
        4.708005252239566,
        4.708023847501881,
        4.708042442764196,
        4.70806103802651,
        4.708079633288825,
        4.7080982285511395,
        4.708116823813454,
        4.708135419075769,
        4.708154014338084,
        4.708172609600399,
        4.708191204862714,
        4.7082098001250285,
        4.7082283953873425,
        4.70824651384806,
        4.708265109110375,
        4.70828370437269,
        4.708302299635004,
        4.7083208948973185,
        4.708506370718869,
        4.708524965981184,
        4.7085430844419,
        4.708561679704215,
        4.70858027496653,
        4.708598870228845,
        4.70861746549116,
        4.708636060753474,
        4.7086546560157885,
        4.708672774476506,
        4.708691369738821,
        4.708709965001136,
        4.70872856026345,
        4.7087471555257645,
        4.708765750788079,
        4.708783869248797,
        4.708802464511111,
        4.708821059773426,
        4.7088396550357405,
        4.708858250298055,
        4.708876368758772,
        4.708894964021087,
        4.708913559283402,
        4.708932154545717,
        4.708950749808031,
        4.708968868268748,
        4.708987463531063,
        4.709006058793378,
        4.709024654055693,
        4.709042772516409,
        4.709061367778724,
        4.709079963041039,
        4.709098558303354,
        4.70911667676407,
        4.709135272026385,
        4.7091538672887,
        4.709172462551015,
        4.709190581011732,
        4.7092091762740464,
        4.709227771536361,
        4.709246366798676,
        4.709264485259393,
        4.709283080521708,
        4.7093016757840225,
        4.709320271046337,
        4.709338389507054,
        4.709356984769369,
        4.709375580031684,
        4.7093941752939985,
        4.709412293754715,
        4.70943088901703,
        4.709449484279345,
        4.709467602740062,
        4.709486198002377,
        4.709504793264691,
        4.709522911725409,
        4.709541506987724,
        4.709560102250038,
        4.709578220710755,
        4.70959681597307,
        4.709615411235385,
        4.7096340064977,
        4.709652124958416,
        4.709670720220731,
        4.709689315483046,
        4.709707433943763,
        4.709726029206077,
        4.709744624468392,
        4.709762742929109,
        4.709781338191424,
        4.70979945665214,
        4.709818051914455,
        4.70983664717677,
        4.709854765637487,
        4.709873360899802,
        4.709891956162116,
        4.709910074622834,
        4.709928669885149,
        4.709947265147463,
        4.70996538360818,
        4.709983978870495,
        4.710002097331212,
        4.710020692593527,
        4.7100392878558415,
        4.710057406316558,
        4.710076001578873,
        4.71009412003959,
        4.7101127153019045,
        4.710131310564219,
        4.710149429024936,
        4.710168024287251,
        4.710186142747968,
        4.710204738010283,
        4.710222856471,
        4.710241451733315,
        4.7102600469956295,
        4.710278165456346,
        4.710296760718661,
        4.710314879179378,
        4.7103334744416925,
        4.71035159290241,
        4.710370188164724,
        4.710388783427039,
        4.710406901887756,
        4.710425497150071,
        4.710443615610788,
        4.710462210873103,
        4.710480329333819,
        4.710498924596134,
        4.710517043056851,
        4.710535638319166,
        4.710553756779883,
        4.710572352042197,
        4.710590470502915,
        4.7106090657652295,
        4.710627184225946,
        4.710645779488261,
        4.710663897948978,
        4.7106824932112925,
        4.710700611672009,
        4.710719206934324,
        4.7107373253950415,
        4.710755920657356,
        4.710774039118073,
        4.710792634380388,
        4.7108107528411045,
        4.710829348103419,
        4.710847466564136,
        4.710866061826451,
        4.710884180287168,
        4.710902775549483,
        4.7109208940102,
        4.710939489272515,
        4.710957607733231,
        4.710975726193948,
        4.710994321456263,
        4.71101243991698,
        4.711031035179295,
        4.711049153640012,
        4.711067748902327,
        4.711085867363043,
        4.711104462625358,
        4.711122581086075,
        4.711140699546792,
        4.711159294809107,
        4.711177413269824,
        4.711196008532139,
        4.711214126992855,
        4.711232245453572,
        4.711250840715887,
        4.711268959176604,
        4.711287554438919,
        4.711305672899636,
        4.7113237913603525,
        4.711342386622667,
        4.711360505083384,
        4.711379100345699,
        4.711397218806416,
        4.711415337267133,
        4.711433932529448,
        4.7114520509901645,
        4.711470169450882,
        4.711488764713197,
        4.7115068831739135,
        4.711525478436228,
        4.711543596896945,
        4.711561715357662,
        4.7115803106199765,
        4.711598429080694,
        4.711616547541411,
        4.7116351428037255,
        4.711653261264442,
        4.71167137972516,
        4.711689974987474,
        4.711708093448191,
        4.711726211908908,
        4.711744807171223,
        4.711762925631939,
        4.711781044092657,
        4.711799639354972,
        4.711817757815688,
        4.711835876276405,
        4.71185447153872,
        4.7118725899994365,
        4.711890708460154,
        4.711908826920871,
        4.7119274221831855,
        4.711945540643902,
        4.71196365910462,
        4.7119822543669345,
        4.712000372827651,
        4.712018491288368,
        4.712036609749085,
        4.712055205011399,
        4.712073323472117,
        4.7120914419328335,
        4.71210956039355,
        4.712128155655865,
        4.7121462741165825,
        4.712164392577299,
        4.712182511038016,
        4.712201106300331,
        4.712219224761048,
        4.712237343221765,
        4.712255461682481,
        4.712274056944796,
        4.712292175405514,
        4.7123102938662305,
        4.712328412326947,
        4.712347007589262,
        4.712365126049979,
        4.712383244510696,
        4.712401362971413,
        4.712419481432129,
        4.712438076694444,
        4.712456195155162,
        4.712474313615878,
        4.712492432076595,
        4.712510550537313,
        4.7125291457996275,
        4.712547264260344,
        4.712565382721061,
        4.712583501181778,
        4.712601619642495,
        4.71262021490481,
        4.712638333365526,
        4.712656451826243,
        4.712674570286961,
        4.712692688747677,
        4.712710807208394,
        4.712729402470709,
        4.712747520931426,
        4.712765639392143,
        4.7127837578528595,
        4.712801876313577,
        4.712819994774294,
        4.71283811323501,
        4.712856708497325,
        4.712874826958043,
        4.712892945418759,
        4.712911063879476,
        4.7129291823401935,
        4.71294730080091,
        4.712965419261627,
        4.712984014523942,
        4.713002132984658,
        4.713020251445376,
        4.7130383699060925,
        4.713056488366809,
        4.713074606827527,
        4.713092725288243,
        4.71311084374896,
        4.7131289622096775,
        4.713147080670394,
        4.713165675932709,
        4.713183794393426,
        4.713201912854143,
        4.71322003131486,
        4.713238149775576,
        4.713256268236294,
        4.713274386697011,
        4.713292505157727,
        4.713310623618445,
        4.713328742079161,
        4.713346860539878,
        4.713364979000596,
        4.713383097461312,
        4.713401215922029,
        4.713419334382746,
        4.713437452843463,
        4.713456048105778,
        4.7134741665664945,
        4.713492285027212,
        4.713510403487929,
        4.713528521948645,
        4.713546640409363,
        4.7135647588700795,
        4.713582877330796,
        4.713600995791514,
        4.71361911425223,
        4.713637232712947,
        4.7136553511736645,
        4.713673469634381,
        4.713691588095098,
        4.713709706555815,
        4.713727825016532,
        4.713745943477249,
        4.713764061937966,
        4.713782180398683,
        4.713800298859399,
        4.713818417320117,
        4.713836535780834,
        4.71385465424155,
        4.713872772702268,
        4.713890891162984,
        4.713909009623701,
        4.713927128084419,
        4.713944769743537,
        4.713962888204255,
        4.713981006664971,
        4.713999125125688,
        4.714017243586405,
        4.714035362047122,
        4.714053480507839,
        4.714071598968556,
        4.714089717429273,
        4.7141078358899895,
        4.714125954350707,
        4.714144072811424,
        4.71416219127214,
        4.714180309732858,
        4.7141984281935745,
        4.714216546654291,
        4.7142341883134105,
        4.714252306774128,
        4.714270425234845,
        4.714288543695561,
        4.714306662156279,
        4.7143247806169954,
        4.714342899077712,
        4.71436101753843,
        4.714379135999146,
        4.714397254459863,
        4.714414896118982,
        4.714433014579699,
        4.714451133040416,
        4.714469251501133,
        4.71448736996185,
        4.714505488422567,
        4.714523606883284,
        4.714541248542403,
        4.71455936700312,
        4.7145774854638365,
        4.714595603924554,
        4.714613722385271,
        4.714631840845987,
        4.714649959306705,
        4.714667600965824,
        4.714685719426541,
        4.714703837887257,
        4.714721956347975,
        4.714740074808692,
        4.714758193269408,
        4.714775834928528,
        4.714793953389244,
        4.714812071849962,
        4.714830190310678,
        4.714848308771395,
        4.714865950430514,
        4.714884068891231,
        4.7149021873519485,
        4.714920305812665,
        4.714938424273382,
        4.714956065932501,
        4.714974184393219,
        4.714992302853935,
        4.715010421314652,
        4.7150285397753695,
        4.715046181434488,
        4.7150642998952055,
        4.715082418355922,
        4.715100536816639,
        4.715118178475758,
        4.715136296936475,
        4.715154415397192,
        4.715172533857909,
        4.7151906523186256,
        4.715208293977745,
        4.715226412438462,
        4.715244530899179,
        4.715262649359896,
        4.715280291019015,
        4.715298409479732,
        4.715316527940449,
        4.715334169599568,
        4.715352288060285,
        4.715370406521002,
        4.7153885249817185,
        4.715406166640838,
        4.715424285101555,
        4.715442403562272,
        4.715460045221391,
        4.715478163682108,
        4.715496282142825,
        4.715514400603542,
        4.7155320422626605,
        4.715550160723378,
        4.715568279184095,
        4.715585920843214,
        4.715604039303931,
        4.715622157764648,
        4.715639799423767,
        4.715657917884484,
        4.715676036345201,
        4.71569367800432,
        4.715711796465037,
        4.715729914925753,
        4.715747556584873,
        4.71576567504559,
        4.715783793506307,
        4.715801435165426,
        4.715819553626143,
        4.7158376720868596,
        4.715855313745979,
        4.7158734322066955,
        4.715891550667413,
        4.715909192326532,
        4.715927310787249,
        4.715945429247966,
        4.715963070907085,
        4.715981189367802,
        4.715998831026921,
        4.716016949487638,
        4.716035067948355,
        4.7160527096074745,
        4.716070828068191,
        4.716088946528908,
        4.716106588188027,
        4.716124706648744,
        4.716142348307863,
        4.71616046676858,
        4.716178585229297,
        4.716196226888416,
        4.716214345349133,
        4.7162319870082525,
        4.716250105468969,
        4.7162677471280885,
        4.716285865588805,
        4.716303984049522,
        4.716321625708641,
        4.716339744169358,
        4.716357385828477,
        4.716375504289195,
        4.716393145948313,
        4.716411264409031,
        4.716429382869747,
        4.7164470245288665,
        4.716465142989583,
        4.7164827846487025,
        4.716500903109419,
        4.7165185447685385,
        4.716536663229255,
        4.7165543048883745,
        4.716572423349091,
        4.71659006500821,
        4.716608183468928,
        4.716625825128046,
        4.716643943588764,
        4.716661585247882,
        4.7166797037086,
        4.716697345367719,
        4.716715463828436,
        4.716733105487555,
        4.716751223948272,
        4.716768865607391,
        4.716786984068108,
        4.716804625727227,
        4.716822744187944,
        4.716840385847063,
        4.71685850430778,
        4.716876145966899,
        4.716894264427616,
        4.716911906086735,
        4.716930024547453,
        4.716947666206571,
        4.7169657846672886,
        4.716983426326407,
        4.7170015447871245,
        4.717019186446244,
        4.7170373049069605,
        4.71705494656608,
        4.717072588225198,
        4.717090706685916,
        4.717108348345035,
        4.717126466805752,
        4.717144108464871,
        4.717162226925588,
        4.717179868584707,
        4.7171975102438255,
        4.717215628704543,
        4.717233270363662,
        4.717251388824379,
        4.717447354281081,
        4.7174654727417975,
        4.717483114400917,
        4.717500756060036,
        4.717518874520753,
        4.717536516179872,
        4.717554157838991,
        4.717572276299708,
        4.717589917958827,
        4.717607559617946,
        4.717625678078663,
        4.717643319737782,
        4.717661438198499,
        4.717679079857619,
        4.717696721516737,
        4.717714839977455,
        4.717732481636573,
        4.717750123295692,
        4.717821643535364,
        4.717839285194484,
        4.717856926853603,
        4.71787504531432,
        4.717892686973439,
        4.717910328632558,
        4.717927970291678,
        4.717946088752394,
        4.717963730411514,
        4.717981372070632,
        4.71799949053135,
        4.718017132190469,
        4.718034773849587,
        4.718052892310305,
        4.718070533969423,
        4.718088175628543,
        4.718105817287662,
        4.718123935748379,
        4.718141577407498,
        4.718159219066617,
        4.718176860725737,
        4.718194979186453,
        4.718212620845573,
        4.718230262504692,
        4.7182483809654086,
        4.718266022624528,
        4.718283664283646,
        4.718301305942766,
        4.718319424403483,
        4.718337066062602,
        4.718354707721721,
        4.71837234938084,
        4.71838999103996,
        4.718408109500676,
        4.718425751159796,
        4.718443392818915,
        4.718461034478033,
        4.718479152938751,
        4.718496794597869,
        4.718514436256989,
        4.718532077916108,
        4.718549719575227,
        4.718567838035944,
        4.718585479695063,
        4.718603121354183,
        4.718620763013301,
        4.71863840467242,
        4.718656523133137,
        4.718674164792256,
        4.718691806451376,
        4.718709448110495,
        4.718727089769614,
        4.718745208230331,
        4.71876284988945,
        4.718780491548569,
        4.718798133207688,
        4.718815774866807,
        4.718833416525927,
        4.718851534986643,
        4.718869176645763,
        4.718886818304882,
        4.718904459964,
        4.71892210162312,
        4.718939743282239,
        4.718957384941358,
        4.718975503402075,
        4.718993145061194,
        4.719010786720314,
        4.719028428379432,
        4.7190460700385515,
        4.719063711697671,
        4.71908135335679,
        4.719098995015909,
        4.719117113476626,
        4.72099213576003,
        4.7230092449195835,
        4.723030224189887,
        4.723051203460191,
        4.723072182730495,
        4.723093162000799,
        4.723114141271102,
        4.7231355973430045,
        4.723156576613308,
        4.723177555883612,
        4.723198535153916,
        4.723219514424219,
        4.723240493694523,
        4.723261472964827,
        4.72328245223513,
        4.7233034315054345,
        4.723324410775739,
        4.72334586684764,
        4.723366846117944,
        4.723387825388248,
        4.723408804658551,
        4.7234297839288555,
        4.72345076319916,
        4.723471742469463,
        4.723492721739767,
        4.723513701010071,
        4.723534680280374,
        4.723555659550678,
        4.723576638820982,
        4.723597618091286,
        4.72361859736159,
        4.723639576631894,
        4.723660555902198,
        4.723681535172501,
        4.723702514442805,
        4.723723493713109,
        4.723744472983412,
        4.7237654522537165,
        4.723786908325618,
        4.723807887595922,
        4.723828866866226,
        4.72384984613653,
        4.723870825406833,
        4.723891327875539,
        4.723912307145843,
        4.723933286416147,
        4.7239542656864515,
        4.723975244956755,
        4.723996224227059,
        4.724017203497363,
        4.724038182767666,
        4.72405916203797,
        4.724080141308274,
        4.7241011205785775,
        4.7241220998488815,
        4.724143079119186,
        4.72416405838949,
        4.724185037659793,
        4.724206016930097,
        4.724226996200401,
        4.724247975470704,
        4.724268954741008,
        4.7242899340113125,
        4.724310913281616,
        4.7243314157503224,
        4.724352395020626,
        4.72437337429093,
        4.724394353561234,
        4.724415332831537,
        4.724436312101841,
        4.724457291372145,
        4.724478270642449,
        4.7244992499127525,
        4.724519752381458,
        4.7245407316517625,
        4.724561710922067,
        4.72458269019237,
        4.724603669462674,
        4.724624648732978,
        4.724645628003282,
        4.724666607273585,
        4.724687109742291,
        4.724708089012595,
        4.724729068282899,
        4.724750047553203,
        4.724771026823507,
        4.724792006093811,
        4.7248125085625166,
        4.724833487832821,
        4.724854467103124,
        4.724875446373428,
        4.724896425643732,
        4.724916928112438,
        4.724937907382742,
        4.724958886653045,
        4.724979865923349,
        4.725000845193653,
        4.725021347662359,
        4.725042326932663,
        4.7250633062029666,
        4.725084285473271,
        4.725105264743575,
        4.725125767212281,
        4.725146746482585,
        4.725167725752888,
        4.725188705023192,
        4.725209207491898,
        4.725230186762202,
        4.725251166032506,
        4.725272145302809,
        4.725292647771515,
        4.725313627041819,
        4.725334606312123,
        4.725355585582427,
        4.725376088051133,
        4.7253970673214365,
        4.725418046591741,
        4.7254385490604465,
        4.725459528330751,
        4.725480507601055,
        4.725501486871358,
        4.725521989340064,
        4.725542968610368,
        4.725563947880672,
        4.725584450349378,
        4.725605429619682,
        4.725626408889985,
        4.725646911358692,
        4.725667890628995,
        4.725688869899299,
        4.725709372368005,
        4.725730351638309,
        4.725751330908613,
        4.725771833377319,
        4.725792812647622,
        4.725813791917926,
        4.725834294386632,
        4.725855273656936,
        4.7258762529272405,
        4.725896755395946,
        4.7259177346662495,
        4.725938713936554,
        4.7259592164052595,
        4.725980195675564,
        4.7260006981442695,
        4.726021677414574,
        4.726042656684878,
        4.7260631591535835,
        4.726084138423887,
        4.726105117694191,
        4.726125620162897,
        4.726146599433201,
        4.726167101901907,
        4.726188081172211,
        4.726208583640917,
        4.726229562911221,
        4.726250542181524,
        4.72627104465023,
        4.726292023920534,
        4.726457950876574,
        4.726478930146877,
        4.726499432615583,
        4.726520411885887,
        4.726540914354593,
        4.726561893624897,
        4.726582396093603,
        4.726603375363907,
        4.726623877832613,
        4.726644857102917,
        4.726665359571623,
        4.726686338841926,
        4.726706841310633,
        4.726727820580936,
        4.726748323049642,
        4.726769302319946,
        4.726789804788652,
        4.726810784058956,
        4.726831286527662,
        4.726852265797966,
        4.726872768266672,
        4.726893747536976,
        4.726914250005682,
        4.726935229275986,
        4.726955731744692,
        4.726976234213398,
        4.726997213483702,
        4.727017715952408,
        4.727038695222711,
        4.727059197691418,
        4.727080176961721,
        4.727100679430427,
        4.727121658700731,
        4.727142161169437,
        4.7271626636381425,
        4.727183642908447,
        4.7272041453771525,
        4.727225124647457,
        4.7272456271161625,
        4.727266129584868,
        4.7272871088551724,
        4.727307611323878,
        4.727328590594182,
        4.727349093062888,
        4.727369595531594,
        4.727390574801898,
        4.727411077270604,
        4.72743157973931,
        4.727452559009614,
        4.72747306147832,
        4.727494040748624,
        4.72751454321733,
        4.727535045686036,
        4.72755602495634,
        4.727576527425046,
        4.727597029893752,
        4.728009940077459,
        4.728030919347763,
        4.728051421816469,
        4.7280719242851745,
        4.72809242675388,
        4.7281134060241845,
        4.72813390849289,
        4.728154410961596,
        4.728174913430302,
        4.728195892700606,
        4.728216395169312,
        4.728236897638018,
        4.728257400106724,
        4.728277902575431,
        4.728298881845734,
        4.72831938431444,
        4.7283398867831465,
        4.728360389251852,
        4.728380891720558,
        4.728401870990862,
        4.728422373459568,
        4.728442875928274,
        4.72846337839698,
        4.728483880865686,
        4.72850486013599,
        4.728525362604696,
        4.728545865073402,
        4.728566367542108,
        4.728586870010814,
        4.7286073724795195,
        4.7286283517498235,
        4.728648854218529,
        4.728669356687235,
        4.728689859155942,
        4.728710361624648,
        4.728730864093354,
        4.728751843363658,
        4.728772345832364,
        4.72879284830107,
        4.728813350769776,
        4.7288338532384815,
        4.728854355707187,
        4.728874858175893,
        4.7288953606446,
        4.728915863113306,
        4.728936842383609,
        4.728957344852316,
        4.728977847321022,
        4.728998349789728,
        4.7290188522584335,
        4.729121364601964,
        4.72914186707067,
        4.729162846340974,
        4.72918334880968,
        4.729203851278386,
        4.7292243537470915,
        4.729244856215797,
        4.729265358684503,
        4.729285861153209,
        4.729306363621916,
        4.729326866090622,
        4.729347368559328,
        4.729367871028034,
        4.7293883734967395,
        4.729408875965445,
        4.729429378434151,
        4.729449880902858,
        4.729470383371564,
        4.72949088584027,
        4.729511388308976,
        4.7295318907776815,
        4.729552393246387,
        4.729572895715093,
        4.7295933981838,
        4.729613900652506,
        4.729634403121212,
        4.729654905589918,
        4.729675408058624,
        4.7296959105273295,
        4.729716412996035,
        4.729736915464742,
        4.729757417933448,
        4.729777920402154,
        4.72979842287086,
        4.729818925339566,
        4.729839427808272,
        4.7298599302769775,
        4.729880432745684,
        4.72990093521439,
        4.729920960881498,
        4.729941463350204,
        4.7299619658189105,
        4.729982468287616,
        4.730002970756322,
        4.730023473225028,
        4.730043975693734,
        4.73006447816244,
        4.730084980631146,
        4.730105483099852,
        4.7301259855685585,
        4.730146011235666,
        4.730166513704372,
        4.730187016173079,
        4.730207518641785,
        4.730228021110491,
        4.7302485235791965,
        4.730269026047902,
        4.730289528516608,
        4.730310030985314,
        4.730330056652423,
        4.730350559121129,
        4.7303710615898344,
        4.73039156405854,
        4.730412066527246,
        4.730432568995953,
        4.730452594663061,
        4.730473097131767,
        4.730493599600472,
        4.730514102069179,
        4.730534604537885,
        4.730555107006591,
        4.7305751326737,
        4.730595635142405,
        4.730616137611111,
        4.730636640079817,
        4.730657142548523,
        4.730677168215632,
        4.7306976706843376,
        4.730718173153043,
        4.730738675621749,
        4.730759178090455,
        4.730779203757564,
        4.73079970622627,
        4.7308202086949755,
        4.730840711163681,
        4.730861213632387,
        4.730881239299496,
        4.730901741768202,
        4.730922244236908,
        4.7309427467056135,
        4.730962772372722,
        4.730983274841428,
        4.731003777310134,
        4.73102427977884,
        4.731044305445948,
        4.731064807914654,
        4.73108531038336,
        4.731105812852066,
        4.731125838519175,
        4.7311463409878804,
        4.731166843456586,
        4.731186869123695,
        4.731207371592401,
        4.731227874061107,
        4.731247899728215,
        4.731268402196921,
        4.731288904665627,
        4.731309407134333,
        4.7313294328014415,
        4.731349935270147,
        4.731370437738853,
        4.731390463405962,
        4.731410965874668,
        4.731431468343374,
        4.731451494010481,
        4.731471996479188,
        4.731492498947894,
        4.731512524615002,
        4.7315330270837075,
        4.731553529552414,
        4.731573555219522,
        4.731594057688228,
        4.731614560156934,
        4.731634585824042,
        4.731655088292748,
        4.731675113959857,
        4.731695616428563,
        4.7317161188972685,
        4.731736144564377,
        4.731756647033083,
        4.731777149501789,
        4.7317971751688965,
        4.731817677637603,
        4.731837703304711,
        4.731858205773417,
        4.731878708242123,
        4.731898733909231,
        4.731919236377937,
        4.731939262045046,
        4.731959764513752,
        4.731979790180859,
        4.732000292649566,
        4.732020795118272,
        4.73204082078538,
        4.732061323254086,
        4.732081348921194,
        4.7321018513899,
        4.732121877057009,
        4.7321423795257145,
        4.732162405192822,
        4.732182907661529,
        4.732203410130235,
        4.7322234357973425,
        4.732243938266049,
        4.732263963933157,
        4.732284466401863,
        4.732304492068971,
        4.732324994537677,
        4.732345020204786,
        4.732365522673492,
        4.732385548340599,
        4.732406050809305,
        4.732426076476414,
        4.73244657894512,
        4.732466604612228,
        4.732487107080934,
        4.732507132748042,
        4.732527635216749,
        4.732547660883856,
        4.732568163352562,
        4.732588189019671,
        4.732608691488377,
        4.732628717155485,
        4.732648742822593,
        4.732669245291299,
        4.732689270958407,
        4.732709773427113,
        4.732729799094222,
        4.732750301562928,
        4.732770327230035,
        4.732790829698741,
        4.73281085536585,
        4.7328308810329585,
        4.732851383501664,
        4.732871409168772,
        4.732891911637478,
        4.7329119373045865,
        4.732932439773292,
        4.732952465440401,
        4.732972491107509,
        4.732992993576215,
        4.733013019243323,
        4.733033521712029,
        4.7330535473791375,
        4.733073573046245,
        4.733094075514952,
        4.73311410118206,
        4.733134126849168,
        4.733154629317874,
        4.733174654984982,
        4.733195157453689,
        4.733215183120796,
        4.733235208787905,
        4.733255711256611,
        4.733275736923718,
        4.733295762590827,
        4.733316265059533,
        4.733336290726641,
        4.733356316393749,
        4.733376818862455,
        4.7333968445295636,
        4.733416870196672,
        4.733437372665378,
        4.733457398332486,
        4.733477423999594,
        4.7334979264683,
        4.733517952135409,
        4.733537977802516,
        4.733558003469625,
        4.733578505938331,
        4.733598531605439,
        4.733618557272547,
        4.733639059741253,
        4.7336590854083616,
        4.733679111075469,
        4.733699136742578,
        4.733719639211284,
        4.733739664878392,
        4.7337596905455,
        4.733780193014206,
        4.733800218681314,
        4.733820244348423,
        4.733840270015531,
        4.7338607724842365,
        4.733880798151345,
        4.733900823818453,
        4.733920849485561,
        4.733941351954267,
        4.733961377621376,
        4.7339814032884835,
        4.734001428955592,
        4.734021454622701,
        4.7340419570914065,
        4.734061982758514,
        4.734082008425623,
        4.7341020340927304,
        4.734122059759839,
        4.734142562228545,
        4.7341625878956535,
        4.734182613562761,
        4.73420263922987,
        4.734222664896977,
        4.734243167365684,
        4.734263193032792,
        4.7342832186999,
        4.734303244367008,
        4.734323270034117,
        4.734343772502823,
        4.734363798169931,
        4.734383823837039,
        4.734403849504147,
        4.734423875171255,
        4.734443900838364,
        4.734463926505472,
        4.734484428974178,
        4.734504454641286,
        4.734524480308394,
        4.734544505975502,
        4.734564531642611,
        4.734584557309719,
        4.734604582976827,
        4.734624608643935,
        4.734645111112641,
        4.734665136779749,
        4.7346851624468576,
        4.734705188113966,
        4.734725213781074,
        4.734745239448182,
        4.73476526511529,
        4.734785290782399,
        4.734805316449506,
        4.734825342116615,
        4.734845844585321,
        4.734865870252429,
        4.734885895919537,
        4.734905921586646,
        4.734925947253754,
        4.734945972920862,
        4.73496599858797,
        4.734986024255078,
        4.735006049922187,
        4.735026075589294,
        4.735046101256403,
        4.7350661269235115,
        4.735086152590619,
        4.735106178257728,
        4.735126203924835,
        4.735146229591944,
        4.7351662552590525,
        4.73518628092616,
        4.735206306593269,
        4.7352263322603765,
        4.735246357927485,
        4.735266383594593,
        4.735286409261701,
        4.73530643492881,
        4.7353264605959176,
        4.735346486263026,
        4.735366511930134,
        4.735386537597242,
        4.73540656326435,
        4.735426588931459,
        4.735446614598567,
        4.7355867942683245,
        4.735606819935432,
        4.735626845602541,
        4.7356468712696485,
        4.735666896936757,
        4.735686922603866,
        4.735706948270973,
        4.735726973938082,
        4.735746522803592,
        4.7357665484707,
        4.7357865741378085,
        4.735806599804916,
        4.735826625472025,
        4.735846651139133,
        4.735866676806241,
        4.7358867024733495,
        4.735906728140457,
        4.735926753807566,
        4.735946302673076,
        4.735966328340185,
        4.735986354007292,
        4.736006379674401,
        4.736026405341509,
        4.736046431008617,
        4.736066456675725,
        4.7360864823428335,
        4.736106031208344,
        4.736126056875452,
        4.73614608254256,
        4.736166108209669,
        4.736186133876776,
        4.736206159543885,
        4.7362261852109935,
        4.736245734076504,
        4.7362657597436115,
        4.73628578541072,
        4.736305811077828,
        4.736325836744936,
        4.736345862412044,
        4.736365411277554,
        4.736385436944663,
        4.7364054626117715,
        4.736425488278879,
        4.736445513945988,
        4.736465062811498,
        4.736485088478606,
        4.736505114145714,
        4.736525139812823,
        4.736545165479931,
        4.736564714345441,
        4.73658474001255,
        4.736604765679657,
        4.736624791346766,
        4.736644340212276,
        4.736664365879385,
        4.7366843915464925,
        4.736704417213601,
        4.736723966079111,
        4.736743991746219,
        4.736764017413328,
        4.736784043080435,
        4.736803591945946,
        4.736823617613054,
        4.736843643280163,
        4.7368636689472705,
        4.736883217812781,
        4.7369032434798894,
        4.736923269146997,
        4.736943294814106,
        4.736962843679616,
        4.736982869346725,
        4.737002895013832,
        4.737022443879343,
        4.737042469546451,
        4.737062495213559,
        4.737082044079069,
        4.737102069746178,
        4.7371220954132855,
        4.737141644278797,
        4.7371616699459045,
        4.737181695613013,
        4.737201721280121,
        4.737221270145631,
        4.73724129581274,
        4.737261321479847,
        4.737280870345358,
        4.737300896012466,
        4.737320444877977,
        4.737340470545085,
        4.737360496212193,
        4.737380045077703,
        4.737400070744812,
        4.7374200964119195,
        4.73743964527743,
        4.7374596709445385,
        4.737479696611647,
        4.737499245477157,
        4.737519271144265,
        4.737538820009775,
        4.737558845676884,
        4.737578871343992,
        4.737598420209502,
        4.737618445876611,
        4.737637994742121,
        4.73765802040923,
        4.737678046076337,
        4.737697594941848,
        4.737717620608956,
        4.7377371694744665,
        4.737757195141574,
        4.737777220808683,
        4.737796769674193,
        4.737816795341301,
        4.737836344206812,
        4.73785636987392,
        4.73787591873943,
        4.737895944406539,
        4.737915493272049,
        4.737935518939157,
        4.737955544606265,
        4.737975093471776,
        4.737995119138883,
        4.738014668004394,
        4.738034693671502,
        4.738054242537013,
        4.738074268204121,
        4.738093817069632,
        4.738113842736739,
        4.73813339160225,
        4.738153417269358,
        4.738172966134869,
        4.738192991801976,
        4.738212540667487,
        4.738232566334595,
        4.738252115200106,
        4.738272140867214,
        4.7382916897327245,
        4.738311715399832,
        4.738331264265343,
        4.738351289932451,
        4.7383708387979615,
        4.738390864465069,
        4.7384104133305796,
        4.73842996219609,
        4.7384499878631985,
        4.738469536728709,
        4.738489562395817,
        4.738509111261328,
        4.7385291369284355,
        4.738548685793946,
        4.738568711461054,
        4.738588260326565,
        4.738607809192075,
        4.738627834859183,
        4.738647383724693,
        4.738667409391802,
        4.738686958257312,
        4.738706983924421,
        4.738726532789931,
        4.738746081655441,
        4.738766107322549,
        4.7387856561880595,
        4.738805681855168,
        4.738825230720678,
        4.738844779586189,
        4.738864805253297,
        4.738884354118808,
        4.738904379785915,
        4.738923928651426,
        4.738943477516936,
        4.738963503184045,
        4.738983052049555,
        4.739002600915065,
        4.739022626582173,
        4.7390421754476835,
        4.739061724313194,
        4.739081749980302,
        4.739101298845813,
        4.739120847711323,
        4.739140873378432,
        4.739160422243942,
        4.739179971109452,
        4.73919999677656,
        4.7392195456420705,
        4.739239094507581,
        4.739259120174689,
        4.7392786690402,
        4.73929821790571,
        4.739318243572818,
        4.739337792438328,
        4.739357341303839,
        4.739377366970947,
        4.7393969158364575,
        4.739416464701968,
        4.739436013567478,
        4.739456039234587,
        4.739475588100097,
        4.7394951369656075,
        4.739515162632715,
        4.739534711498226,
        4.739554260363736,
        4.739573809229246,
        4.739593834896355,
        4.739613383761865,
        4.739632932627376,
        4.739652481492886,
        4.7396725071599946,
        4.739692056025505,
        4.739711604891015,
        4.739731153756526,
        4.739751179423633,
        4.739770728289144,
        4.739790277154654,
        4.739809826020164,
        4.739829374885675,
        4.739849400552783,
        4.739868949418294,
        4.739888498283804,
        4.7399080471493145,
        4.739928072816422,
        4.739947621681933,
        4.739967170547444,
        4.739986719412954,
        4.7400062682784645,
        4.740026293945572,
        4.7400458428110825,
        4.740065391676593,
        4.740084940542103,
        4.740104489407614,
        4.740124038273124,
        4.740144063940233,
        4.740163612805743,
        4.740183161671253,
        4.740202710536764,
        4.740222259402274,
        4.740241808267784,
        4.740261357133295,
        4.740281382800403,
        4.740300931665914,
        4.740320480531424,
        4.740340029396934,
        4.740359578262445,
        4.740379127127955,
        4.7403986759934655,
        4.740418701660573,
        4.740438250526084,
        4.740457799391594,
        4.740477348257104,
        4.740496897122615,
        4.740516445988125,
        4.740535994853635,
        4.740555543719146,
        4.740575092584656,
        4.7405946414501665,
        4.740614667117275,
        4.7406342159827854,
        4.740653764848296,
        4.740673313713806,
        4.7406928625793165,
        4.740712411444827,
        4.740731960310337,
        4.740751509175848,
        4.740771058041358,
        4.740790606906868,
        4.740810155772379,
        4.740829704637889,
        4.7408492535033995,
        4.74086880236891,
        4.74088835123442,
        4.740907900099931,
        4.740927448965441,
        4.740946997830951,
        4.740966546696462,
        4.74098657236357,
        4.741006121229081,
        4.741025670094591,
        4.741045218960101,
        4.741064767825612,
        4.741084316691122,
        4.741103865556632,
        4.741123414422143,
        4.741142963287653,
        4.7411625121531635,
        4.741182061018674,
        4.741201609884184,
        4.741221158749695,
        4.741240230813608,
        4.741259779679118,
        4.741279328544628,
        4.741298877410139,
        4.741318426275649,
        4.7413379751411595,
        4.74135752400667,
        4.74137707287218,
        4.741396621737691,
        4.741416170603201,
        4.741435719468711,
        4.741455268334222,
        4.741474817199732,
        4.741494366065242,
        4.741513914930753,
        4.741533463796263,
        4.7415530126617735,
        4.741572561527284,
        4.741592110392794,
        4.741611182456706,
        4.741630731322217,
        4.741650280187727,
        4.7416698290532375,
        4.741689377918748,
        4.741708926784258,
        4.741728475649769,
        4.741748024515279,
        4.741767573380789,
        4.741787122246301,
        4.741806194310213,
        4.741825743175723,
        4.7418452920412335,
        4.741864840906744,
        4.741884389772254,
        4.741903938637765,
        4.741923487503275,
        4.741942559567188,
        4.741962108432698,
        4.741981657298209,
        4.742001206163719,
        4.7420207550292295,
        4.74204030389474,
        4.74205985276025,
        4.742078924824162,
        4.742098473689673,
        4.742118022555183,
        4.7421375714206935,
        4.742157120286204,
        4.742176669151714,
        4.742195741215627,
        4.742215290081138,
        4.742234838946648,
        4.742254387812158,
        4.742273936677669,
        4.742293008741581,
        4.742312557607091,
        4.742332106472602,
        4.742351655338112,
        4.742371204203622,
        4.742390276267535,
        4.742409825133046,
        4.742429373998556,
        4.7424489228640665,
        4.742467994927979,
        4.742487543793489,
        4.742507092658999,
        4.74252664152451,
        4.742545713588423,
        4.742565262453933,
        4.7425848113194435,
        4.742604360184954,
        4.742623432248866,
        4.742642981114376,
        4.742662529979887,
        4.742682078845397,
        4.74270115090931,
        4.742720699774821,
        4.742740248640331,
        4.742759797505841,
        4.7427788695697535,
        4.742798418435264,
        4.742817967300774,
        4.742837039364687,
        4.742856588230198,
        4.742876137095708,
        4.74289520915962,
        4.7429147580251305,
        4.742934306890641,
        4.742953855756151,
        4.742972927820064,
        4.742992476685575,
        4.743012025551085,
        4.743031097614997,
        4.743050646480508,
        4.743070195346018,
        4.743089267409931,
        4.743108816275441,
        4.743128365140952,
        4.743147437204864,
        4.743166986070374,
        4.743186534935885,
        4.743205606999798,
        4.743225155865308,
        4.74324422792922,
        4.7432637767947305,
        4.743283325660241,
        4.743302397724154,
        4.743321946589664,
        4.743341495455175,
        4.743360567519087,
        4.743380116384597,
        4.74339918844851,
        4.743418737314021,
        4.743438286179531,
        4.743457358243443,
        4.7434769071089535,
        4.743495979172867,
        4.743515528038377,
        4.743535076903887,
        4.7435541489677995,
        4.74357369783331,
        4.743592769897223,
        4.743612318762733,
        4.743631390826645,
        4.743650939692156,
        4.743670488557666,
        4.743689560621579,
        4.74370910948709,
        4.743728181551002,
        4.743747730416512,
        4.743766802480425,
        4.7437863513459355,
        4.743805423409848,
        4.743824972275358,
        4.743844521140868,
        4.7438635932047815,
        4.743883142070292,
        4.743902214134204,
        4.743921762999714,
        4.7439408350636265,
        4.743960383929137,
        4.74397945599305,
        4.74399900485856,
        4.7440180769224725,
        4.744037625787983,
        4.744056697851896,
        4.744076246717406,
        4.744095318781318,
        4.744114867646829,
        4.744133939710742,
        4.744153488576252,
        4.744172560640164,
        4.744192109505675,
        4.744211181569588,
        4.744230730435098,
        4.74424980249901,
        4.744268874562923,
        4.744288423428434,
        4.744307495492346,
        4.744327044357856,
        4.744346116421769,
        4.74436566528728,
        4.744384737351192,
        4.744404286216702,
        4.744423358280615,
        4.744442430344527,
        4.744461979210038,
        4.744481051273951,
        4.744500600139461,
        4.744519672203373,
        4.744539221068884,
        4.744558293132797,
        4.744577365196709,
        4.744596914062219,
        4.7446159861261314,
        4.744635534991642,
        4.744654607055555,
        4.744673679119467,
        4.744693227984977,
        4.744866306964984,
        4.7448858558304945,
        4.7449049278944075,
        4.74492399995832,
        4.74494354882383,
        4.744962620887743,
        4.744981692951655,
        4.745001241817166,
        4.745020313881079,
        4.745039385944991,
        4.745058934810501,
        4.745078006874413,
        4.745097078938326,
        4.745116627803837,
        4.745135699867749,
        4.745154771931662,
        4.745173843995574,
        4.7451933928610845,
        4.745212464924998,
        4.74523153698891,
        4.74525108585442,
        4.745270157918333,
        4.745289229982245,
        4.745308778847756,
        4.745327850911669,
        4.745346922975581,
        4.745365995039494,
        4.745385543905004,
        4.7454046159689165,
        4.7454236880328295,
        4.745442760096742,
        4.745462308962252,
        4.745481381026164,
        4.745500453090077,
        4.7455195251539894,
        4.7455390740195,
        4.745558146083413,
        4.745577218147325,
        4.745596290211238,
        4.745615839076748,
        4.745634911140661,
        4.745653983204574,
        4.745673055268486,
        4.745692604133996,
        4.745711676197909,
        4.745730748261821,
        4.7457498203257344,
        4.745768892389647,
        4.745788441255157,
        4.745807513319069,
        4.745826585382982,
        4.745845657446894,
        4.745864729510807,
        4.745884278376318,
        4.74590335044023,
        4.745922422504143,
        4.745941494568055,
        4.745960566631968,
        4.74597963869588,
        4.745999187561391,
        4.746018259625304,
        4.746037331689216,
        4.746056403753129,
        4.746075475817041,
        4.746094547880953,
        4.746114096746464,
        4.746133168810377,
        4.746152240874289,
        4.746171312938202,
        4.746190385002114,
        4.746209457066027,
        4.746228529129939,
        4.74624807799545,
        4.746267150059363,
        4.746286222123275,
        4.746305294187188,
        4.7463243662511,
        4.746343438315013,
        4.746362510378925,
        4.7463815824428375,
        4.7464006545067505,
        4.746420203372261,
        4.746439275436173,
        4.746458347500086,
        4.746477419563998,
        4.746496491627911,
        4.7465155636918235,
        4.7465346357557365,
        4.746553707819649,
        4.746572779883562,
        4.746591851947474,
        4.746610924011386,
        4.746629996075299,
        4.746649068139211,
        4.746668617004722,
        4.746687689068635,
        4.746706761132547,
        4.74672583319646,
        4.746744905260372,
        4.746763977324285,
        4.746783049388197,
        4.74680212145211,
        4.7468211935160225,
        4.7468402655799355,
        4.746859337643848,
        4.74687840970776,
        4.746897481771673,
        4.746916553835585,
        4.746935625899498,
        4.74695469796341,
        4.746973770027323,
        4.7469928420912355,
        4.747011914155149,
        4.747030986219061,
        4.747050058282974,
        4.747069130346886,
        4.747088202410798,
        4.747107274474711,
        4.747126346538623,
        4.747145418602536,
        4.7471644906664485,
        4.747183562730362,
        4.747202634794274,
        4.747221706858187,
        4.747240778922099,
        4.747259850986012,
        4.747278923049924,
        4.747297995113836,
        4.747316590376151,
        4.747335662440064,
        4.747354734503976,
        4.747373806567889,
        4.747392878631802,
        4.747411950695715,
        4.747431022759627,
        4.74745009482354,
        4.747469166887452,
        4.747488238951365,
        4.747507311015277,
        4.747526383079189,
        4.7475454551431024,
        4.747564050405417,
        4.7475831224693295,
        4.7476021945332425,
        4.747621266597155,
        4.747640338661068,
        4.74765941072498,
        4.747678482788893,
        4.747697554852805,
        4.747716626916717,
        4.747735222179032,
        4.747754294242945,
        4.747773366306857,
        4.74779243837077,
        4.7478115104346825,
        4.747830582498596,
        4.747849654562508,
        4.747868726626421,
        4.747887321888735,
        4.747906393952648,
        4.74792546601656,
        4.747944538080473,
        4.747963610144385,
        4.747982682208298,
        4.748001277470613,
        4.748020349534525,
        4.748039421598438,
        4.74805849366235,
        4.748077565726263,
        4.7480961609885775,
        4.7481152330524905,
        4.748134305116403,
        4.748153377180316,
        4.748172449244228,
        4.748191521308141,
        4.748210116570456,
        4.748229188634368,
        4.74824826069828,
        4.748267332762193,
        4.748285928024508,
        4.74830500008842,
        4.748324072152333,
        4.748343144216245,
        4.748362216280158,
        4.748380811542472,
        4.748399883606385,
        4.748418955670298,
        4.748438027734211,
        4.7484566229965255,
        4.748475695060438,
        4.748494767124351,
        4.748513839188263,
        4.748532434450578,
        4.74855150651449,
        4.748570578578403,
        4.748589650642315,
        4.74860824590463,
        4.748627317968543,
        4.748646390032455,
        4.74866498529477,
        4.748684057358683,
        4.748703129422595,
        4.748722201486507,
        4.748740796748822,
        4.748759868812735,
        4.748778940876647,
        4.748797536138962,
        4.748816608202875,
        4.7488356802667875,
        4.748854275529102,
        4.7488733475930145,
        4.7488924196569275,
        4.748911014919242,
        4.7489300869831546,
        4.748949159047068,
        4.7489677543093824,
        4.748986826373295,
        4.749005898437208,
        4.749024493699522,
        4.749043565763435,
        4.749062637827347,
        4.749081233089662,
        4.749100305153575,
        4.749119377217487,
        4.749137972479802,
        4.749157044543715,
        4.749176116607627,
        4.749194711869942,
        4.749213783933854,
        4.749232855997767,
        4.749251451260082,
        4.749270523323994,
        4.749289118586309,
        4.749308190650221,
        4.749327262714134,
        4.749345857976449,
        4.749364930040361,
        4.749383525302676,
        4.749402597366589,
        4.749421669430501,
        4.749440264692816,
        4.749459336756728,
        4.749477932019043,
        4.749497004082956,
        4.749515599345271,
        4.749534671409183,
        4.749553743473096,
        4.749572338735411,
        4.749591410799323,
        4.749610006061638,
        4.74962907812555,
        4.749647673387865,
        4.749666745451778,
        4.74968581751569,
        4.749704412778005,
        4.749723484841917,
        4.749742080104232,
        4.749761152168145,
        4.74977974743046,
        4.749798819494372,
        4.749817414756687,
        4.7498364868206,
        4.749855082082914,
        4.749874154146827,
        4.749892749409142,
        4.749911821473054,
        4.749930416735369,
        4.749949488799282,
        4.749968084061596,
        4.749987156125509,
        4.750005751387824,
        4.750024823451736,
        4.750043418714051,
        4.750062490777964,
        4.750081086040279,
        4.750100158104191,
        4.750118753366506,
        4.750137825430418,
        4.750156420692733,
        4.750175492756646,
        4.750194088018961,
        4.750213160082873,
        4.750231755345188,
        4.7502503506075024,
        4.750269422671415,
        4.7502880179337295,
        4.7503070899976425,
        4.750325685259957,
        4.7503447573238695,
        4.750363352586184,
        4.7503824246500965,
        4.750401019912411,
        4.750419615174726,
        4.750438687238639,
        4.750457282500954,
        4.750476354564866,
        4.750494949827181,
        4.750513545089496,
        4.750532617153408,
        4.750551212415723,
        4.750570284479636,
        4.75058887974195,
        4.750607475004265,
        4.750626547068178,
        4.750645142330493,
        4.750664214394405,
        4.75068280965672,
        4.750701404919035,
        4.750720476982947,
        4.750739072245262,
        4.750757667507576,
        4.7507767395714895,
        4.750795334833804,
        4.7508144068977165,
        4.750833002160031,
        4.750851597422346,
        4.750870669486258,
        4.750889264748573,
        4.750907860010888,
        4.750926932074801,
        4.750945527337115,
        4.75096412259943,
        4.750983194663343,
        4.751001789925658,
        4.751020385187973,
        4.751039457251885,
        4.7510580525142,
        4.7510766477765145,
        4.751095719840427,
        4.7511143151027415,
        4.751132910365056,
        4.751151505627371,
        4.751170577691283,
        4.751189172953598,
        4.751207768215913,
        4.751226840279826,
        4.751245435542141,
        4.751264030804455,
        4.75128262606677,
        4.751301698130683,
        4.751320293392998,
        4.7513388886553125,
        4.751357960719225,
        4.7513765559815395,
        4.751395151243854,
        4.751413746506169,
        4.751432818570081,
        4.751451413832396,
        4.751470009094711,
        4.751488604357026,
        4.751507676420938,
        4.751526271683253,
        4.751544866945568,
        4.751563462207883,
        4.751582534271795,
        4.75160112953411,
        4.7516197247964245,
        4.751638320058739,
        4.751656915321054,
        4.751675987384967,
        4.751694582647281,
        4.751713177909596,
        4.751731773171911,
        4.751750368434226,
        4.751769440498139,
        4.751788035760453,
        4.751806631022768,
        4.751825226285082,
        4.751843821547397,
        4.75186289361131,
        4.751881488873625,
        4.751900084135939,
        4.751918679398254,
        4.751937274660569,
        4.751955869922884,
        4.751974941986797,
        4.751993537249111,
        4.7520121325114255,
        4.75203072777374,
        4.752049323036055,
        4.75206791829837,
        4.752086990362282,
        4.752105585624597,
        4.752124180886912,
        4.752142776149227,
        4.752161371411542,
        4.7521799666738564,
        4.752198561936171,
        4.752217157198486,
        4.752236229262398,
        4.752254824524713,
        4.752273419787028,
        4.752292015049343,
        4.752310610311658,
        4.7523292055739725,
        4.752347800836287,
        4.752366396098601,
        4.752384991360916,
        4.752404063424829,
        4.752422658687144,
        4.752441253949459,
        4.752459849211774,
        4.752478444474088,
        4.752497039736403,
        4.752515634998717,
        4.752534230261032,
        4.752552825523347,
        4.752571420785662,
        4.752590016047977,
        4.752608611310292,
        4.7526272065726065,
        4.7526458018349205,
        4.7526648738988335,
        4.752683469161148,
        4.752702064423463,
        4.752720659685778,
        4.752739254948093,
        4.752757850210407,
        4.752776445472722,
        4.752795040735037,
        4.752813635997351,
        4.752832231259666,
        4.752850826521981,
        4.752869421784296,
        4.752888017046611,
        4.752906612308926,
        4.75292520757124,
        4.752943802833554,
        4.752962398095869,
        4.752980993358184,
        4.752999588620499,
        4.753018183882814,
        4.753036779145129,
        4.7530553744074435,
        4.753073969669758,
        4.753092564932073,
        4.753111160194387,
        4.753129755456702,
        4.753148350719017,
        4.753166945981332,
        4.753185541243647,
        4.753204136505961,
        4.753222731768276,
        4.753240850228993,
        4.753259445491308,
        4.753278040753623,
        4.753296636015937,
        4.753315231278252,
        4.753333826540567,
        4.753352421802882,
        4.753371017065196,
        4.753389612327511,
        4.753408207589826,
        4.7534268028521405,
        4.753445398114455,
        4.75346399337677,
        4.753482588639085,
        4.7535011839014,
        4.7535193023621165,
        4.753537897624431,
        4.753556492886746,
        4.753575088149061,
        4.753593683411376,
        4.75361227867369,
        4.753630873936005,
        4.7536494691983195,
        4.753668064460634,
        4.753686182921352,
        4.753704778183666,
        4.753723373445981,
        4.753741968708296,
        4.75376056397061,
        4.753779159232925,
        4.75379775449524,
        4.753816349757555,
        4.753834468218272,
        4.7538530634805864,
        4.753871658742901,
        4.753890254005216,
        4.753908849267531,
        4.753927444529846,
        4.7539455629905625,
        4.753964158252877,
        4.753982753515192,
        4.754001348777507,
        4.754019944039822,
        4.754038539302136,
        4.754056657762853,
        4.754075253025168,
        4.754241656782805,
        4.754260252045119,
        4.754278847307434,
        4.754297442569749,
        4.754316037832064,
        4.7543341562927806,
        4.754352751555095,
        4.75437134681741,
        4.754389942079725,
        4.754408060540443,
        4.754426655802757,
        4.754445251065071,
        4.754463846327386,
        4.754481964788104,
        4.754500560050418,
        4.754519155312733,
        4.7545377505750475,
        4.754555869035765,
        4.754574464298079,
        4.754593059560394,
        4.754611178021111,
        4.754629773283426,
        4.75464836854574,
        4.754666963808055,
        4.7546850822687725,
        4.754703677531087,
        4.754722272793402,
        4.754740391254119,
        4.754758986516434,
        4.7547775817787485,
        4.754796177041063,
        4.75481429550178,
        4.754832890764095,
        4.75485148602641,
        4.754869604487126,
        4.754888199749441,
        4.754906795011756,
        4.754924913472473,
        4.7549435087347875,
        4.754962103997102,
        4.754980222457819,
        4.754998817720134,
        4.755017412982449,
        4.755035531443165,
        4.75505412670548,
        4.755072721967795,
        4.755090840428512,
        4.755109435690827,
        4.755128030953141,
        4.755146149413859,
        4.755164744676174,
        4.75518286313689,
        4.755201458399205,
        4.75522005366152,
        4.755238172122237,
        4.755256767384552,
        4.7552753626468665,
        4.755293481107583,
        4.755312076369898,
        4.755330194830615,
        4.755348790092929,
        4.755367385355244,
        4.755385503815961,
        4.755404099078276,
        4.755422217538993,
        4.755440812801308,
        4.755459408063622,
        4.75547752652434,
        4.7554961217866545,
        4.755514240247371,
        4.755532835509686,
        4.755550953970403,
        4.7555695492327175,
        4.755588144495032,
        4.755606262955749,
        4.755624858218064,
        4.755642976678781,
        4.755661571941096,
        4.755679690401813,
        4.755698285664128,
        4.755716404124844,
        4.755734999387159,
        4.755753594649474,
        4.755771713110191,
        4.7557903083725055,
        4.755808426833222,
        4.755827022095537,
        4.7558451405562545,
        4.755863735818569,
        4.755881854279286,
        4.755900449541601,
        4.7559185680023175,
        4.755937163264632,
        4.755955281725349,
        4.755973876987664,
        4.755991995448381,
        4.756010590710695,
        4.756028709171413,
        4.756047304433728,
        4.756065422894444,
        4.756084018156759,
        4.756102136617476,
        4.756120731879791,
        4.756138850340508,
        4.756157445602822,
        4.75617556406354,
        4.756193682524256,
        4.756212277786571,
        4.756230396247288,
        4.756248991509603,
        4.75626710997032,
        4.756285705232634,
        4.756303823693352,
        4.7563224189556665,
        4.756340537416383,
        4.756359132678698,
        4.756377251139415,
        4.756395369600132,
        4.756413964862446,
        4.756432083323164,
        4.7564506785854785,
        4.756468797046195,
        4.75648739230851,
        4.756505510769227,
        4.756523629229944,
        4.756542224492258,
        4.756560342952976,
        4.7565789382152905,
        4.756597056676007,
        4.756615175136724,
        4.756633770399039,
        4.756651888859756,
        4.756670007320473,
        4.756688602582788,
        4.756706721043504,
        4.756725316305819,
        4.756743434766536,
        4.756761553227253,
        4.756780148489568,
        4.756798266950285,
        4.7568163854110015,
        4.756834980673316,
        4.756853099134034,
        4.756871694396348,
        4.756889812857065,
        4.756907931317782,
        4.756926526580097,
        4.7569446450408135,
        4.756962763501531,
        4.756981358763846,
        4.7569994772245625,
        4.757017595685279,
        4.757036190947594,
        4.757054309408311,
        4.757072427869028,
        4.757091023131343,
        4.75710914159206,
        4.757127260052776,
        4.757145378513494,
        4.757163973775809,
        4.757182092236525,
        4.757200210697242,
        4.757218805959557,
        4.7572369244202735,
        4.757255042880991,
        4.757273638143306,
        4.7572917566040225,
        4.757309875064739,
        4.757327993525457,
        4.7573465887877715,
        4.757364707248488,
        4.757382825709205,
        4.757400944169922,
        4.757419539432237,
        4.757437657892954,
        4.7574557763536705,
        4.757473894814388,
        4.757492490076702,
        4.7575106085374195,
        4.757528726998136,
        4.757546845458853,
        4.757565440721168,
        4.757583559181885,
        4.757601677642602,
        4.757619796103318,
        4.757638391365633,
        4.757656509826351,
        4.757674628287067,
        4.757692746747784,
        4.757711342010099,
        4.757729460470816,
        4.757747578931533,
        4.75776569739225,
        4.757783815852966,
        4.757802411115281,
        4.757820529575999,
        4.757838648036715,
        4.757856766497432,
        4.75787488495815,
        4.757893003418866,
        4.757911598681181,
        4.757929717141898,
        4.757947835602615,
        4.757965954063332,
        4.7579840725240485,
        4.758002667786363,
        4.75802078624708,
        4.758038904707798,
        4.758057023168514,
        4.758075141629231,
        4.758093260089948,
        4.758111378550665,
        4.75812997381298,
        4.7581480922736965,
        4.758166210734414,
        4.758184329195131,
        4.758202447655847,
        4.758220566116565,
        4.7582386845772815,
        4.758257279839596,
        4.758275398300313,
        4.7582935167610305,
        4.758311635221747,
        4.758329753682464,
        4.758347872143181,
        4.758365990603898,
        4.758384109064615,
        4.758402227525332,
        4.758420822787647,
        4.758438941248364,
        4.75845705970908,
        4.758475178169798,
        4.7584932966305145,
        4.758511415091231,
        4.758529533551949,
        4.758547652012665,
        4.758565770473382,
        4.7585838889340994,
        4.758602007394816,
        4.758620125855533,
        4.75863824431625,
        4.758656839578564,
        4.758674958039282,
        4.758693076499998,
        4.758711194960715,
        4.758729313421433,
        4.758747431882149,
        4.758765550342866,
        4.758783668803583,
        4.7588017872643,
        4.758819905725017,
        4.758838024185734,
        4.758856142646451,
        4.7588742611071675,
        4.758892379567885,
        4.758910498028602,
        4.758928616489318,
        4.758946734950036,
        4.7589648534107525,
        4.758982971871469,
        4.759001090332187,
        4.759019208792903,
        4.75903732725362,
        4.7590554457143375,
        4.759073564175054,
        4.759091682635771,
        4.759109801096488,
        4.759127919557205,
        4.759146038017922,
        4.759164156478639,
        4.759182274939356,
        4.759200393400072,
        4.75921851186079,
        4.759236630321507,
        4.759254748782223,
        4.759272867242941,
        4.759290985703657,
        4.759309104164374,
        4.759327222625092,
        4.759345341085808,
        4.759363459546525,
        4.759381578007242,
        4.759399219666362,
        4.759417338127078,
        4.759435456587795,
        4.7594535750485125,
        4.759471693509229,
        4.759489811969946,
        4.759507930430663,
        4.75952604889138,
        4.759544167352097,
        4.759562285812814,
        4.759580404273531,
        4.759598522734247,
        4.759616164393367,
        4.759634282854083,
        4.759652401314801,
        4.759670519775518,
        4.759688638236234,
        4.759706756696952,
        4.759724875157668,
        4.759742993618385,
        4.759761112079103,
        4.759778753738221,
        4.7597968721989385,
        4.759814990659655,
        4.759833109120372,
        4.759851227581089,
        4.759869346041806,
        4.759887464502523,
        4.75990558296324,
        4.7599232246223595,
        4.759941343083076,
        4.759959461543793,
        4.75997758000451,
        4.759995698465227,
        4.760013816925944,
        4.760031458585063,
        4.76004957704578,
        4.760067695506497,
        4.760085813967214,
        4.76010393242793,
        4.760122050888648,
        4.760139692547766,
        4.760157811008484,
        4.7601759294692005,
        4.760194047929917,
        4.760212166390635,
        4.760229808049754,
        4.760247926510471,
        4.760266044971187,
        4.760284163431905,
        4.7603022818926215,
        4.760319923551741,
        4.7603380420124575,
        4.760356160473174,
        4.760374278933892,
        4.760392397394608,
        4.760410039053728,
        4.760428157514444,
        4.760446275975161,
        4.760662267098971,
        4.760680385559688,
        4.760698027218807,
        4.760716145679524,
        4.7607342641402415,
        4.76075190579936,
        4.7607700242600774,
        4.760788142720794,
        4.760806261181511,
        4.76082390284063,
        4.760842021301347,
        4.760860139762064,
        4.760877781421184,
        4.7608958998819,
        4.760914018342617,
        4.760931660001736,
        4.760949778462453,
        4.76096789692317,
        4.760985538582289,
        4.761003657043006,
        4.761021775503723,
        4.76103989396444,
        4.761057535623559,
        4.7610756540842765,
        4.761093772544993,
        4.761111414204112,
        4.761129532664829,
        4.761147174323948,
        4.761165292784665,
        4.761183411245382,
        4.761201052904501,
        4.7612191713652185,
        4.761237289825935,
        4.7612549314850545,
        4.761273049945771,
        4.761291168406488,
        4.761308810065607,
        4.761326928526324,
        4.761344570185443,
        4.761362688646161,
        4.761380807106877,
        4.761398448765997,
        4.761416567226713,
        4.76143468568743,
        4.761452327346549,
        4.761470445807266,
        4.761488087466385,
        4.761506205927103,
        4.761524324387819,
        4.761541966046939,
        4.761560084507655,
        4.761577726166775,
        4.761595844627491,
        4.761613486286611,
        4.761631604747327,
        4.761649723208045,
        4.761667364867163,
        4.761685483327881,
        4.761703124986999,
        4.761721243447717,
        4.761738885106835,
        4.761757003567553,
        4.761775122028269,
        4.761792763687389,
        4.761810882148105,
        4.761828523807225,
        4.761846642267941,
        4.761864283927061,
        4.761882402387777,
        4.761900044046897,
        4.761918162507614,
        4.761935804166733,
        4.76195392262745,
        4.7619715642865685,
        4.761989682747286,
        4.762007324406405,
        4.762025442867122,
        4.762043084526241,
        4.762061202986958,
        4.762078844646077,
        4.762096963106794,
        4.762114604765913,
        4.76213272322663,
        4.762150364885749,
        4.762168483346466,
        4.762186125005585,
        4.762204243466302,
        4.762221885125421,
        4.762240003586139,
        4.762257645245257,
        4.764324580171782,
        4.766569838895889,
        4.766591294967791,
        4.766612274238095,
        4.766633730309996,
        4.7666547095803,
        4.766676165652202,
        4.766697144922506,
        4.766718600994407,
        4.7667400570663085,
        4.766761036336613,
        4.766782492408514,
        4.766803471678818,
        4.7668249277507195,
        4.766845907021024,
        4.766867363092925,
        4.766888342363229,
        4.7669097984351305,
        4.766930777705435,
        4.766952233777336,
        4.76697321304764,
        4.7669946691195415,
        4.767015648389846,
        4.767037104461747,
        4.767058083732051,
        4.7670795398039525,
        4.767100519074257,
        4.767121975146158,
        4.767142954416462,
        4.767163933686765,
        4.767185389758668,
        4.767206369028971,
        4.767227825100873,
        4.767248804371176,
        4.7672702604430786,
        4.767291239713382,
        4.767312695785284,
        4.767333675055587,
        4.767354654325891,
        4.767376110397793,
        4.767397089668097,
        4.767608789577526,
        4.767630245649428,
        4.767651224919732,
        4.767672204190036,
        4.767693660261937,
        4.767714639532241,
        4.767736095604143,
        4.767757074874447,
        4.767778054144751,
        4.767799510216652,
        4.767820489486956,
        4.7678414687572594,
        4.767862924829161,
        4.767883904099465,
        4.767904883369769,
        4.76792633944167,
        4.7679473187119745,
        4.767968297982279,
        4.76798975405418,
        4.768010733324484,
        4.768031712594787,
        4.768052691865091,
        4.768074147936993,
        4.768095127207297,
        4.768116106477601,
        4.768137562549502,
        4.7681585418198065,
        4.76817952109011,
        4.768200977162012,
        4.768221956432315,
        4.768242935702619,
        4.768263914972923,
        4.768285371044825,
        4.768306350315129,
        4.768327329585432,
        4.768348308855736,
        4.7683697649276375,
        4.768390744197942,
        4.768411723468246,
        4.768432702738549,
        4.768454158810451,
        4.768475138080754,
        4.7684961173510585,
        4.768517096621363,
        4.768538075891666,
        4.768559531963568,
        4.768580511233871,
        4.768601490504175,
        4.7686224697744795,
        4.768643925846381,
        4.768664905116685,
        4.768685884386989,
        4.768706863657292,
        4.768727842927596,
        4.7687488221979,
        4.768770278269802,
        4.768791257540106,
        4.768812236810409,
        4.768833216080713,
        4.768854195351017,
        4.7688751746213205,
        4.768896630693223,
        4.768917609963526,
        4.76893858923383,
        4.768959568504134,
        4.768980547774437,
        4.7690015270447415,
        4.769022983116643,
        4.769043962386947,
        4.769064941657251,
        4.769085920927555,
        4.769106900197858,
        4.769127879468162,
        4.7691488587384665,
        4.76916983800877,
        4.769190817279074,
        4.769212273350975,
        4.769233252621279,
        4.769254231891583,
        4.769275211161887,
        4.769296190432191,
        4.769317169702495,
        4.769338148972799,
        4.769359128243102,
        4.769380107513406,
        4.76940108678371,
        4.769422066054013,
        4.7694430453243175,
        4.769464501396219,
        4.769485480666523,
        4.769506459936827,
        4.76952743920713,
        4.769548418477434,
        4.7695693977477385,
        4.769590377018043,
        4.769611356288346,
        4.76963233555865,
        4.769653314828954,
        4.769674294099257,
        4.769695273369561,
        4.769716252639865,
        4.7697372319101685,
        4.769758211180473,
        4.769779190450777,
        4.769800169721081,
        4.769821148991384,
        4.769842128261688,
        4.769863107531992,
        4.769884086802295,
        4.7699050660725995,
        4.7699260453429035,
        4.769947024613207,
        4.769968003883511,
        4.769988983153815,
        4.770009962424119,
        4.770030941694422,
        4.770051920964726,
        4.77007290023503,
        4.770093879505334,
        4.77011438197404,
        4.770135361244344,
        4.770156340514648,
        4.770177319784952,
        4.770198299055255,
        4.770219278325559,
        4.770240257595863,
        4.770261236866166,
        4.77028221613647,
        4.7703031954067745,
        4.770324174677079,
        4.770345153947382,
        4.770366133217686,
        4.770386635686392,
        4.770407614956696,
        4.770428594227,
        4.770449573497303,
        4.770470552767607,
        4.770491532037911,
        4.7705125113082145,
        4.770533490578519,
        4.7705539930472245,
        4.770574972317529,
        4.770595951587833,
        4.770616930858136,
        4.77063791012844,
        4.770658889398744,
        4.770679868669047,
        4.770700371137754,
        4.770721350408057,
        4.770742329678361,
        4.770763308948665,
        4.770784288218969,
        4.770805267489273,
        4.770825769957979,
        4.770846749228283,
        4.770867728498587,
        4.77088870776889,
        4.770909687039194,
        4.770930666309498,
        4.770951168778204,
        4.770972148048508,
        4.770993127318811,
        4.771014106589115,
        4.771034609057821,
        4.771055588328125,
        4.7710765675984295,
        4.771097546868733,
        4.771118526139037,
        4.771139028607743,
        4.771160007878047,
        4.77118098714835,
        4.771201966418654,
        4.77122246888736,
        4.771243448157664,
        4.771264427427968,
        4.771285406698271,
        4.771305909166978,
        4.771326888437281,
        4.771347867707585,
        4.771368846977889,
        4.771389349446595,
        4.771410328716899,
        4.771431307987203,
        4.7714518104559085,
        4.771472789726213,
        4.771493768996517,
        4.77151474826682,
        4.771535250735527,
        4.77155623000583,
        4.771577209276134,
        4.77159771174484,
        4.771618691015144,
        4.771639670285448,
        4.771660172754154,
        4.771681152024457,
        4.771702131294761,
        4.771722633763467,
        4.771743613033771,
        4.771764592304075,
        4.771785094772781,
        4.771806074043084,
        4.771827053313388,
        4.771847555782094,
        4.771868535052398,
        4.7718895143227025,
        4.771910016791408,
        4.7719309960617124,
        4.771951498530418,
        4.7719724778007215,
        4.771993457071026,
        4.7720139595397315,
        4.772034938810036,
        4.7720554412787415,
        4.772076420549046,
        4.77209739981935,
        4.7721179022880555,
        4.772138881558359,
        4.7721593840270655,
        4.772180363297369,
        4.772201342567673,
        4.772221845036379,
        4.772242824306683,
        4.772263326775389,
        4.772284306045693,
        4.772304808514399,
        4.772325787784702,
        4.772346767055006,
        4.772367269523712,
        4.772388248794016,
        4.772408751262722,
        4.772429730533026,
        4.772450233001732,
        4.772471212272036,
        4.772491714740742,
        4.772512694011046,
        4.772533196479752,
        4.772554175750055,
        4.772574678218762,
        4.772595657489065,
        4.772616159957771,
        4.772637139228075,
        4.772657641696781,
        4.772678620967085,
        4.772699123435791,
        4.772720102706095,
        4.772740605174801,
        4.772761584445105,
        4.772782086913811,
        4.772803066184114,
        4.772823568652821,
        4.772844547923124,
        4.77286505039183,
        4.772886029662134,
        4.77290653213084,
        4.772927511401144,
        4.77294801386985,
        4.772968993140154,
        4.77298949560886,
        4.7730099980775655,
        4.77303097734787,
        4.7730514798165755,
        4.77307245908688,
        4.7730929615555855,
        4.773113940825889,
        4.7731344432945955,
        4.773154945763301,
        4.77327939098033,
        4.773299893449036,
        4.77332087271934,
        4.773341375188046,
        4.773361877656752,
        4.773382856927056,
        4.773403359395762,
        4.773424338666066,
        4.773444841134772,
        4.773465343603478,
        4.773486322873782,
        4.773506825342488,
        4.773527327811194,
        4.773548307081498,
        4.773568809550204,
        4.77358931201891,
        4.773610291289214,
        4.77363079375792,
        4.7736512962266255,
        4.77367227549693,
        4.7736927779656355,
        4.773713280434341,
        4.7737342597046455,
        4.773754762173351,
        4.773775264642057,
        4.773796243912361,
        4.773816746381067,
        4.773837248849773,
        4.773857751318479,
        4.773878730588783,
        4.773899233057489,
        4.773919735526195,
        4.773940714796499,
        4.773961217265205,
        4.773981719733911,
        4.774002222202617,
        4.774023201472921,
        4.774043703941627,
        4.7740642064103325,
        4.774084708879039,
        4.774105688149342,
        4.774126190618048,
        4.774146693086755,
        4.774167195555461,
        4.774188174825764,
        4.774208677294471,
        4.774229179763177,
        4.774249682231883,
        4.774270661502187,
        4.774291163970893,
        4.774311666439599,
        4.7743321689083045,
        4.77435267137701,
        4.7743736506473144,
        4.77439415311602,
        4.774414655584726,
        4.774435158053432,
        4.774455660522138,
        4.774476639792442,
        4.774497142261148,
        4.774517644729854,
        4.77453814719856,
        4.7745586496672665,
        4.774579152135972,
        4.774600131406276,
        4.774620633874982,
        4.774641136343688,
        4.774661638812394,
        4.7746821412811,
        4.774702643749806,
        4.77472362302011,
        4.774744125488816,
        4.774764627957522,
        4.774785130426228,
        4.7748056328949335,
        4.77482613536364,
        4.774846637832346,
        4.774867140301052,
        4.774888119571356,
        4.774908622040062,
        4.774929124508768,
        4.774949626977474,
        4.77497012944618,
        4.774990631914886,
        4.7750111343835915,
        4.775031636852298,
        4.775052139321004,
        4.77507264178971,
        4.775093621060014,
        4.77511412352872,
        4.775134625997426,
        4.775155128466132,
        4.775175630934838,
        4.7751961334035435,
        4.775216635872249,
        4.775237138340956,
        4.775257640809662,
        4.775278143278368,
        4.775298645747074,
        4.77531914821578,
        4.775339650684486,
        4.7753601531531915,
        4.775380655621898,
        4.775401158090604,
        4.77542166055931,
        4.775442163028016,
        4.775462665496722,
        4.775483167965428,
        4.775503670434134,
        4.77552417290284,
        4.775544675371546,
        4.775565177840252,
        4.775585680308958,
        4.775606182777664,
        4.77562668524637,
        4.775647187715076,
        4.7756676901837825,
        4.775688192652488,
        4.775708695121194,
        4.7757291975899,
        4.775749700058606,
        4.775770202527312,
        4.775790704996018,
        4.775811207464724,
        4.77583170993343,
        4.775852212402136,
        4.775872714870842,
        4.775893217339548,
        4.775913719808254,
        4.77593422227696,
        4.775954724745666,
        4.7759752272143725,
        4.77599525288148,
        4.776015755350186,
        4.776036257818892,
        4.776056760287599,
        4.776077262756305,
        4.7760977652250105,
        4.776118267693716,
        4.776138770162422,
        4.776159272631128,
        4.776179775099834,
        4.776200277568541,
        4.7762203032356485,
        4.776240805704354,
        4.77626130817306,
        4.776281810641767,
        4.776302313110473,
        4.776322815579179,
        4.776343318047885,
        4.776363343714993,
        4.776383846183699,
        4.776404348652405,
        4.776424851121111,
        4.776628922204975,
        4.776649424673681,
        4.776669927142388,
        4.776690429611094,
        4.7767109320798,
        4.776730957746907,
        4.776751460215614,
        4.77677196268432,
        4.776792465153026,
        4.776812967621732,
        4.77683299328884,
        4.776853495757546,
        4.776873998226252,
        4.776894500694958,
        4.7769145263620665,
        4.776935028830772,
        4.776955531299478,
        4.776976033768184,
        4.776996059435293,
        4.777016561903999,
        4.7770370643727045,
        4.77705756684141,
        4.777077592508519,
        4.777098094977225,
        4.777118597445931,
        4.777139099914637,
        4.777159125581745,
        4.777179628050451,
        4.777200130519157,
        4.7772201561862655,
        4.777240658654971,
        4.777261161123677,
        4.777281663592383,
        4.777301689259492,
        4.777322191728198,
        4.7773426941969035,
        4.777362719864011,
        4.777383222332718,
        4.777403724801424,
        4.7774237504685315,
        4.777444252937237,
        4.777464755405944,
        4.777484781073052,
        4.777505283541758,
        4.777525786010464,
        4.777545811677572,
        4.777566314146278,
        4.777586816614984,
        4.7776068422820925,
        4.777627344750798,
        4.777647847219504,
        4.777667872886613,
        4.777688375355319,
        4.777708401022426,
        4.777728903491133,
        4.777749405959839,
        4.777769431626947,
        4.777789934095653,
        4.777809959762761,
        4.777830462231467,
        4.777850964700173,
        4.777870990367282,
        4.7778914928359875,
        4.777911518503096,
        4.777932020971802,
        4.777952523440508,
        4.7779725491076155,
        4.777993051576322,
        4.77801307724343,
        4.778033579712136,
        4.778054082180842,
        4.77807410784795,
        4.778094610316656,
        4.778114635983765,
        4.778135138452471,
        4.778155164119578,
        4.778175666588285,
        4.778195692255393,
        4.778216194724099,
        4.778236220391207,
        4.778256722859913,
        4.778277225328619,
        4.7782972509957276,
        4.778317753464433,
        4.778337779131542,
        4.778358281600248,
        4.778378307267356,
        4.7783988097360615,
        4.77841883540317,
        4.778439337871876,
        4.7784593635389845,
        4.77847986600769,
        4.778499891674798,
        4.778520394143505,
        4.7785404198106125,
        4.778560922279318,
        4.778580947946427,
        4.778601450415133,
        4.778621476082241,
        4.778641501749349,
        4.778662004218055,
        4.7786820298851636,
        4.778702532353869,
        4.778722558020978,
        4.778743060489684,
        4.778763086156792,
        4.7787835886254975,
        4.778803614292606,
        4.778823639959715,
        4.7788441424284205,
        4.778864168095528,
        4.778884670564234,
        4.778904696231343,
        4.7789251987000485,
        4.778945224367157,
        4.778965250034265,
        4.778985752502971,
        4.779005778170079,
        4.779026280638785,
        4.779046306305894,
        4.779066331973001,
        4.779086834441708,
        4.779106860108816,
        4.779127362577522,
        4.77914738824463,
        4.779167413911738,
        4.779187916380445,
        4.779207942047552,
        4.779227967714661,
        4.779248470183367,
        4.7792684958504745,
        4.779288998319181,
        4.779309023986289,
        4.7793290496533976,
        4.779349552122103,
        4.779369577789211,
        4.77938960345632,
        4.779410105925026,
        4.779430131592134,
        4.779450157259242,
        4.779470659727948,
        4.779490685395056,
        4.779510711062165,
        4.7795307367292725,
        4.779551239197978,
        4.779571264865087,
        4.779591290532196,
        4.779611793000901,
        4.779631818668009,
        4.779651844335118,
        4.779672346803824,
        4.779692372470932,
        4.77971239813804,
        4.779732423805148,
        4.779752926273854,
        4.779772951940962,
        4.7797929776080705,
        4.779813480076776,
        4.779833505743885,
        4.779853531410993,
        4.779873557078101,
        4.779894059546807,
        4.779914085213916,
        4.779934110881023,
        4.779954136548132,
        4.77997416221524,
        4.7799946646839455,
        4.780014690351054,
        4.780034716018163,
        4.78005474168527,
        4.780075244153976,
        4.780095269821085,
        4.780115295488193,
        4.780135321155301,
        4.78015534682241,
        4.7801758492911155,
        4.780195874958223,
        4.780215900625332,
        4.78023592629244,
        4.780255951959548,
        4.780276454428254,
        4.7802964800953625,
        4.78031650576247,
        4.780336531429579,
        4.780356557096687,
        4.780376582763795,
        4.780397085232501,
        4.780417110899609,
        4.780437136566717,
        4.780457162233826,
        4.780477187900934,
        4.780497213568042,
        4.780517716036748,
        4.780537741703856,
        4.780557767370965,
        4.780577793038073,
        4.780597818705181,
        4.780617844372289,
        4.780637870039397,
        4.780657895706505,
        4.780678398175212,
        4.78069842384232,
        4.780718449509428,
        4.780738475176536,
        4.780758500843644,
        4.780778526510752,
        4.780798552177861,
        4.780818577844969,
        4.780838603512077,
        4.7808586291791855,
        4.780879131647891,
        4.780899157315,
        4.780919182982108,
        4.780939208649216,
        4.780959234316324,
        4.780979259983432,
        4.78099928565054,
        4.781019311317649,
        4.781039336984757,
        4.781059362651865,
        4.7810793883189735,
        4.781099413986081,
        4.78111943965319,
        4.781139465320297,
        4.781159490987406,
        4.781179516654515,
        4.781199542321622,
        4.781219567988731,
        4.7812395936558385,
        4.781259619322947,
        4.781279644990056,
        4.781299670657163,
        4.781319696324272,
        4.78133972199138,
        4.781359747658488,
        4.781379773325596,
        4.781399798992704,
        4.781419824659813,
        4.781439850326921,
        4.781459875994029,
        4.781479901661137,
        4.7814999273282455,
        4.781519952995353,
        4.781539978662462,
        4.78156000432957,
        4.781580029996678,
        4.7816000556637865,
        4.781620081330894,
        4.781640106998003,
        4.781660132665111,
        4.781680158332219,
        4.781700183999328,
        4.781720209666435,
        4.781740235333544,
        4.7817602610006515,
        4.78178028666776,
        4.781800312334869,
        4.781819861200379,
        4.781839886867487,
        4.781859912534595,
        4.781879938201703,
        4.7818999638688116,
        4.78191998953592,
        4.781940015203028,
        4.781960040870136,
        4.781980066537244,
        4.782000092204353,
        4.782019641069863,
        4.782039666736971,
        4.782059692404079,
        4.782079718071188,
        4.7820997437382955,
        4.782119769405404,
        4.782139795072512,
        4.78215982073962,
        4.782179369605131,
        4.782199395272239,
        4.782219420939347,
        4.7822394466064555,
        4.782259472273563,
        4.782279497940672,
        4.782299046806182,
        4.78231907247329,
        4.782339098140398,
        4.782359123807507,
        4.782379149474615,
        4.782399175141723,
        4.782418724007234,
        4.782438749674341,
        4.78245877534145,
        4.782478801008558,
        4.782498826675666,
        4.782518375541176,
        4.782538401208285,
        4.782558426875393,
        4.782578452542501,
        4.782598478209609,
        4.782618027075119,
        4.782638052742228,
        4.782658078409336,
        4.782678104076444,
        4.7826976529419545,
        4.782717678609063,
        4.782737704276171,
        4.782757729943279,
        4.782777755610388,
        4.782797304475898,
        4.782817330143006,
        4.7828373558101145,
        4.782856904675625,
        4.7828769303427325,
        4.782896956009841,
        4.782916981676949,
        4.782996607543784,
        4.783016156409294,
        4.783036182076403,
        4.783056207743511,
        4.783075756609021,
        4.7830957822761295,
        4.783115807943238,
        4.783135833610346,
        4.783155382475856,
        4.783175408142965,
        4.783195433810072,
        4.783214982675583,
        4.783235008342691,
        4.7832550340098,
        4.78327458287531,
        4.783294608542418,
        4.7833146342095265,
        4.783334183075037,
        4.783354208742145,
        4.783374234409253,
        4.7833937832747635,
        4.783413808941871,
        4.7834333578073815,
        4.78345338347449,
        4.783473409141599,
        4.783492958007109,
        4.783512983674217,
        4.783533009341325,
        4.783552558206836,
        4.783572583873943,
        4.783592609541052,
        4.783612158406562,
        4.783632184073671,
        4.783651732939181,
        4.783671758606289,
        4.7836917842733975,
        4.783711333138908,
        4.7837313588060155,
        4.783750907671526,
        4.7837709333386345,
        4.784463726060259,
        4.784483751727366,
        4.784503300592877,
        4.784523326259985,
        4.784542875125496,
        4.784562900792604,
        4.784582449658115,
        4.784601998523625,
        4.784622024190733,
        4.784641573056243,
        4.784661598723352,
        4.784681147588862,
        4.78470117325597,
        4.78472072212148,
        4.78474027098699,
        4.784760296654099,
        4.784779845519609,
        4.784799871186718,
        4.784819420052228,
        4.784997267048213,
        4.785016815913723,
        4.785036364779233,
        4.785056390446342,
        4.785075939311852,
        4.785095488177363,
        4.78511551384447,
        4.785135062709981,
        4.785154611575491,
        4.7851746372426,
        4.78519418610811,
        4.78521373497362,
        4.785233760640728,
        4.785253309506238,
        4.785272858371749,
        4.785292884038857,
        4.785312432904368,
        4.785331981769878,
        4.785352007436987,
        4.785371556302497,
        4.785391105168007,
        4.785411130835115,
        4.785430679700625,
        4.785450228566136,
        4.785470254233244,
        4.785489803098755,
        4.785509351964265,
        4.7855289008297754,
        4.785548926496884,
        4.785568475362394,
        4.785588024227905,
        4.785607573093415,
        4.785627598760523,
        4.785647147626033,
        4.7856666964915435,
        4.785686722158652,
        4.7857062710241625,
        4.785725819889673,
        4.785745368755183,
        4.785765394422291,
        4.785784943287801,
        4.785804492153312,
        4.785824041018823,
        4.785843589884333,
        4.785863615551441,
        4.785883164416951,
        4.785902713282462,
        4.785922262147972,
        4.785942287815081,
        4.785961836680591,
        4.785981385546101,
        4.786000934411612,
        4.786020483277122,
        4.78604050894423,
        4.78606005780974,
        4.7860796066752505,
        4.786099155540761,
        4.786118704406271,
        4.78613873007338,
        4.78615827893889,
        4.7861778278044005,
        4.786197376669911,
        4.786216925535421,
        4.786236474400932,
        4.78625650006804,
        4.7862760489335505,
        4.786295597799061,
        4.786315146664571,
        4.786334695530082,
        4.786354244395592,
        4.786373793261102,
        4.78639381892821,
        4.78641336779372,
        4.786432916659231,
        4.786452465524741,
        4.7864720143902515,
        4.786491563255763,
        4.786511112121273,
        4.7865306609867835,
        4.786550686653891,
        4.7865702355194015,
        4.786589784384912,
        4.786609333250422,
        4.786628882115933,
        4.786648430981443,
        4.786667979846953,
        4.786687528712464,
        4.786707077577974,
        4.7867266264434845,
        4.786746175308995,
        4.786766200976103,
        4.786785749841614,
        4.786805298707124,
        4.7868248475726345,
        4.786844396438145,
        4.786863945303655,
        4.786883494169166,
        4.786903043034676,
        4.786922591900186,
        4.786942140765697,
        4.786961689631207,
        4.786981238496717,
        4.787000787362228,
        4.787020336227738,
        4.7870398850932485,
        4.787059433958759,
        4.787078982824269,
        4.78709853168978,
        4.78711808055529,
        4.7871376294208,
        4.787157178286311,
        4.787176727151821,
        4.787196276017331,
        4.787215824882842,
        4.787235373748352,
        4.7872549226138625,
        4.787274471479373,
        4.787294020344883,
        4.787313569210394,
        4.787333118075904,
        4.787352666941414,
        4.787372215806925,
        4.787391764672435,
        4.7874113135379455,
        4.787430862403457,
        4.787450411268967,
        4.7874699601344775,
        4.787489508999988,
        4.787509057865498,
        4.7875286067310086,
        4.787548155596519,
        4.787567704462029,
        4.78758725332754,
        4.78760680219305,
        4.787625874256962,
        4.7876454231224725,
        4.787664971987983,
        4.787684520853493,
        4.787704069719004,
        4.787723618584514,
        4.787743167450024,
        4.787762716315535,
        4.787782265181045,
        4.7878018140465555,
        4.787821362912066,
        4.787840434975979,
        4.787859983841489,
        4.787879532707,
        4.78789908157251,
        4.78791863043802,
        4.787938179303531,
        4.787957728169041,
        4.7879772770345514,
        4.787996349098464,
        4.788015897963974,
        4.788035446829484,
        4.788054995694995,
        4.788074544560505,
        4.788094093426015,
        4.788113642291526,
        4.788132714355439,
        4.788152263220949,
        4.78817181208646,
        4.78819136095197,
        4.78821090981748,
        4.788230458682991,
        4.788249530746903,
        4.788269079612414,
        4.7882886284779245,
        4.788308177343435,
        4.788327726208945,
        4.788346798272857,
        4.788366347138368,
        4.788385896003878,
        4.7884054448693885,
        4.788424993734899,
        4.788444065798812,
        4.788463614664322,
        4.788483163529833,
        4.788502712395343,
        4.788522261260853,
        4.7885413333247655,
        4.788560882190276,
        4.788580431055786,
        4.788599979921297,
        4.78861905198521,
        4.78863860085072,
        4.78865814971623,
        4.788677698581741,
        4.788696770645653,
        4.788716319511163,
        4.788735868376674,
        4.788755417242184,
        4.788774489306097,
        4.788794038171607,
        4.788813587037118,
        4.78883265910103,
        4.78885220796654,
        4.788871756832051,
        4.788891305697561,
        4.788910377761474,
        4.7889299266269845,
        4.788949475492495,
        4.788968547556407,
        4.788988096421917,
        4.789007645287428,
        4.789027194152938,
        4.789046266216851,
        4.7890658150823615,
        4.789085363947872,
        4.789104436011784,
        4.789123984877294,
        4.789143533742805,
        4.789162605806718,
        4.789182154672228,
        4.7892017035377386,
        4.789220775601651,
        4.789240324467161,
        4.7892598733326714,
        4.7892789453965845,
        4.789298494262095,
        4.789317566326007,
        4.789337115191517,
        4.789356664057028,
        4.789375736120941,
        4.789395284986451,
        4.7894148338519615,
        4.789433905915874,
        4.789453454781384,
        4.789472526845297,
        4.7894920757108075,
        4.789511624576318,
        4.78953069664023,
        4.78955024550574,
        4.789569794371251,
        4.789588866435164,
        4.789608415300674,
        4.789627487364586,
        4.789647036230097,
        4.789666108294009,
        4.78968565715952,
        4.7897052060250305,
        4.789724278088943,
        4.789743826954453,
        4.789762899018365,
        4.7897824478838755,
        4.789801519947789,
        4.789821068813299,
        4.789840617678809,
        4.7898596897427215,
        4.789879238608232,
        4.789898310672145,
        4.789917859537655,
        4.789936931601567,
        4.789956480467078,
        4.789975552530991,
        4.789995101396501,
        4.790014173460413,
        4.790033722325924,
        4.790052794389837,
        4.790072343255347,
        4.790091415319259,
        4.79011096418477,
        4.790458075747979,
        4.790477624613489,
        4.790496696677402,
        4.790516245542912,
        4.790535317606825,
        4.790554866472335,
        4.790573938536247,
        4.7905934874017575,
        4.7906125594656706,
        4.790631631529583,
        4.790651180395093,
        4.790670252459006,
        4.7906898013245165,
        4.790708873388429,
        4.790727945452342,
        4.790747494317852,
        4.790766566381764,
        4.790786115247275,
        4.790805187311188,
        4.7908242593751,
        4.79084380824061,
        4.790862880304523,
        4.790881952368435,
        4.790901501233946,
        4.790920573297859,
        4.790940122163369,
        4.790959194227281,
        4.790978266291194,
        4.790997815156705,
        4.791016887220617,
        4.791035959284529,
        4.791055508150039,
        4.7910745802139525,
        4.791093652277865,
        4.791113201143375,
        4.791132273207288,
        4.7911513452712,
        4.791170894136711,
        4.791189966200624,
        4.791209038264536,
        4.791228587130046,
        4.791247659193959,
        4.791266731257871,
        4.791286280123382,
        4.791305352187295,
        4.791324424251207,
        4.791343973116717,
        4.79136304518063,
        4.7913821172445425,
        4.791401189308456,
        4.791420738173966,
        4.791439810237878,
        4.79145888230179,
        4.791478431167301,
        4.791497503231214,
        4.791516575295126,
        4.791535647359039,
        4.791555196224549,
        4.7915742682884614,
        4.7915933403523745,
        4.791612412416287,
        4.791631961281797,
        4.79165103334571,
        4.791670105409622,
        4.791689177473535,
        4.791708726339046,
        4.791727798402958,
        4.791746870466871,
        4.791765942530783,
        4.791785014594695,
        4.7918045634602064,
        4.791823635524119,
        4.791842707588031,
        4.791861779651944,
        4.791881328517454,
        4.791900400581366,
        4.791919472645279,
        4.791938544709192,
        4.791957616773105,
        4.791977165638615,
        4.791996237702527,
        4.79201530976644,
        4.792034381830352,
        4.792053453894265,
        4.792072525958178,
        4.792092074823688,
        4.792111146887601,
        4.792130218951513,
        4.792149291015425,
        4.792168363079338,
        4.7921874351432505,
        4.792206984008761,
        4.792226056072674,
        4.792245128136586,
        4.792264200200499,
        4.792283272264411,
        4.792302344328324,
        4.7923214163922365,
        4.792340965257747,
        4.79236003732166,
        4.792379109385572,
        4.792398181449484,
        4.792417253513397,
        4.7924363255773095,
        4.7924553976412225,
        4.792474469705135,
        4.792493541769048,
        4.792513090634558,
        4.79253216269847,
        4.792551234762383,
        4.7925703068262955,
        4.7925893788902085,
        4.792608450954121,
        4.792627523018034,
        4.792646595081946,
        4.792665667145858,
        4.792684739209771,
        4.792703811273683,
        4.792722883337596,
        4.792742432203107,
        4.792761504267019,
        4.792780576330932,
        4.792799648394844,
        4.792818720458757,
        4.792837792522669,
        4.792856864586582,
        4.7928759366504945,
        4.792895008714407,
        4.79291408077832,
        4.792933152842232,
        4.792952224906145,
        4.792971296970057,
        4.79299036903397,
        4.793009441097882,
        4.793028513161795,
        4.7930475852257075,
        4.793066657289621,
        4.793085729353533,
        4.793104801417446,
        4.793123873481358,
        4.79314294554527,
        4.793162017609183,
        4.793181089673095,
        4.793200161737008,
        4.7932192338009205,
        4.793238305864834,
        4.793257377928746,
        4.793276449992659,
        4.793295522056571,
        4.793314594120484,
        4.793333666184396,
        4.793352738248308,
        4.793371810312221,
        4.7933908823761335,
        4.793409954440047,
        4.793429026503959,
        4.793448098567872,
        4.793467170631784,
        4.793485765894099,
        4.793504837958012,
        4.793523910021924,
        4.793542982085836,
        4.793562054149749,
        4.793581126213661,
        4.793600198277574,
        4.793619270341487,
        4.7936383424054,
        4.793657414469312,
        4.793676486533225,
        4.793695558597137,
        4.793714153859452,
        4.793733225923364,
        4.793752297987277,
        4.793771370051189,
        4.793790442115102,
        4.7938095141790145,
        4.7938285862429275,
        4.79384765830684,
        4.793866730370753,
        4.793885325633068,
        4.79390439769698,
        4.793923469760892,
        4.793942541824805,
        4.793961613888717,
        4.79398068595263,
        4.793999758016542,
        4.794018353278857,
        4.79403742534277,
        4.794056497406682,
        4.794075569470595,
        4.794094641534508,
        4.794113713598421,
        4.794132308860735,
        4.794151380924648,
        4.79417045298856,
        4.794189525052473,
        4.794208597116385,
        4.794227669180298,
        4.794246264442613,
        4.794265336506525,
        4.794284408570437,
        4.79430348063435,
        4.7943225526982625,
        4.794341147960577,
        4.79436022002449,
        4.7943792920884025,
        4.794398364152316,
        4.79441695941463,
        4.794436031478543,
        4.794455103542455,
        4.794474175606368,
        4.79449324767028,
        4.794511842932595,
        4.794530914996508,
        4.79454998706042,
        4.794569059124333,
        4.794587654386648,
        4.79460672645056,
        4.794625798514472,
        4.794644870578385,
        4.7946634658407,
        4.794682537904612,
        4.794701609968525,
        4.794758349358665,
        4.794777421422578,
        4.794796016684892,
        4.794815088748805,
        4.794834160812718,
        4.79485323287663,
        4.794871828138945,
        4.794890900202858,
        4.79490997226677,
        4.794928567529085,
        4.794947639592997,
        4.79496671165691,
        4.794985306919225,
        4.795004378983137,
        4.79502345104705,
        4.795042046309365,
        4.795061118373277,
        4.79508019043719,
        4.795098785699504,
        4.795117857763417,
        4.795136929827329,
        4.795155525089644,
        4.795174597153557,
        4.795193669217469,
        4.795212264479784,
        4.795231336543696,
        4.795250408607609,
        4.795269003869924,
        4.795288075933836,
        4.795307147997749,
        4.795325743260064,
        4.795344815323976,
        4.795363887387889,
        4.795382482650203,
        4.795401554714116,
        4.795420149976431,
        4.7954392220403435,
        4.7954582941042565,
        4.795476889366571,
        4.7954959614304835,
        4.795514556692798,
        4.7955336287567105,
        4.795552700820624,
        4.795571296082938,
        4.795590368146851,
        4.795608963409165,
        4.7956280354730785,
        4.795646630735392,
        4.7956657027993055,
        4.795684774863218,
        4.7957033701255325,
        4.7957224421894455,
        4.79574103745176,
        4.7957601095156726,
        4.795778704777987,
        4.7957977768419,
        4.795816848905813,
        4.7958354441681275,
        4.79585451623204,
        4.7958731114943545,
        4.7958921835582675,
        4.795910778820582,
        4.7959298508844945,
        4.795948446146809,
        4.7959675182107215,
        4.795986113473036,
        4.796005185536949,
        4.796023780799264,
        4.796042852863176,
        4.796061448125491,
        4.7960805201894035,
        4.796099115451718,
        4.796118187515631,
        4.796136782777946,
        4.796155854841858,
        4.796174450104173,
        4.796193522168085,
        4.7962121174304,
        4.796231189494313,
        4.796249784756628,
        4.79626885682054,
        4.796287452082855,
        4.796306524146768,
        4.796325119409082,
        4.796344191472995,
        4.79636278673531,
        4.796381381997625,
        4.796400454061537,
        4.796419049323852,
        4.796438121387764,
        4.796456716650079,
        4.796475788713992,
        4.796494383976307,
        4.796513456040219,
        4.796532051302534,
        4.796550646564849,
        4.796569718628761,
        4.796588313891076,
        4.796607385954989,
        4.7966259812173035,
        4.796644576479618,
        4.796663648543531,
        4.796682243805845,
        4.796701315869758,
        4.796719911132072,
        4.796738506394387,
        4.7967575784583,
        4.796776173720615,
        4.796795245784527,
        4.796813841046842,
        4.796832436309157,
        4.796851508373069,
        4.796870103635384,
        4.796888698897699,
        4.796907770961611,
        4.796926366223926,
        4.796945438287839,
        4.796964033550154,
        4.796982628812469,
        4.797001700876381,
        4.797020296138696,
        4.7970388914010105,
        4.797057963464923,
        4.7970765587272375,
        4.797095153989552,
        4.797114226053465,
        4.797132821315779,
        4.797151416578094,
        4.797170488642007,
        4.797189083904322,
        4.797207679166637,
        4.797226751230549,
        4.797245346492864,
        4.797263941755179,
        4.797283013819091,
        4.797301609081406,
        4.797320204343721,
        4.7973387996060355,
        4.797357871669948,
        4.7973764669322625,
        4.797395062194577,
        4.79741413425849,
        4.797432729520805,
        4.79745132478312,
        4.797469920045434,
        4.797488992109347,
        4.797507587371662,
        4.797526182633977,
        4.797544777896292,
        4.797563849960204,
        4.797582445222519,
        4.7976010404848335,
        4.797619635747148,
        4.7976387078110605,
        4.797657303073375,
        4.79767589833569,
        4.797694493598005,
        4.797713565661917,
        4.797732160924232,
        4.797750756186547,
        4.797769351448862,
        4.797787946711177,
        4.797807018775089,
        4.797825614037404,
        4.797844209299718,
        4.797862804562033,
        4.7978818766259455,
        4.79790047188826,
        4.797919067150575,
        4.79793766241289,
        4.797956257675205,
        4.797975329739118,
        4.797993925001432,
        4.798012520263747,
        4.7980311155260615,
        4.798049710788376,
        4.798068306050691,
        4.798087378114603,
        4.798105973376918,
        4.798124568639233,
        4.798143163901548,
        4.798161759163863,
        4.798180354426178,
        4.79819942649009,
        4.798218021752405,
        4.7982366170147195,
        4.798255212277034,
        4.798273807539349,
        4.798292402801664,
        4.79840445117715,
        4.798423046439465,
        4.79844164170178,
        4.798460236964094,
        4.798478832226409,
        4.798497904290322,
        4.798516499552637,
        4.798535094814952,
        4.7985536900772665,
        4.7985722853395805,
        4.798590880601895,
        4.79860947586421,
        4.798628071126525,
        4.79864666638884,
        4.798665261651155,
        4.7986838569134695,
        4.798702452175784,
        4.798721047438099,
        4.798740119502011,
        4.798758714764326,
        4.798777310026641,
        4.798795905288956,
        4.798814500551271,
        4.798833095813586,
        4.7988516910759,
        4.798870286338214,
        4.798888881600529,
        4.798907476862844,
        4.798926072125159,
        4.798944667387474,
        4.798963262649789,
        4.7989818579121035,
        4.799000453174418,
        4.799019048436732,
        4.799037643699047,
        4.799056238961362,
        4.799074834223677,
        4.799093429485992,
        4.799112024748307,
        4.799130620010621,
        4.799149215272936,
        4.799167810535251,
        4.799186405797566,
        4.79920500105988,
        4.799223596322195,
        4.79924219158451,
        4.7992607868468244,
        4.799279382109139,
        4.799297977371454,
        4.799316572633769,
        4.799335167896084,
        4.799353763158399,
        4.799372358420713,
        4.7993909536830275,
        4.799409548945342,
        4.799428144207657,
        4.799446739469972,
        4.799464857930689,
        4.7994834531930035,
        4.799502048455318,
        4.799520643717633,
        4.799539238979948,
        4.799557834242263,
        4.799576429504578,
        4.799595024766893,
        4.799613620029207,
        4.799632215291521,
        4.799650810553836,
        4.799669405816151,
        4.799688001078466,
        4.799706119539183,
        4.799724714801497,
        4.799743310063812,
        4.799761905326127,
        4.799780500588442,
        4.799799095850757,
        4.799817691113072,
        4.7998362863753865,
        4.799854881637701,
        4.799873000098418,
        4.799891595360733,
        4.799910190623048,
        4.7999287858853625,
        4.799947381147677,
        4.799965976409991,
        4.799984571672306,
        4.800002690133024,
        4.800021285395339,
        4.8000398806576525,
        4.800058475919967,
        4.800077071182282,
        4.800095666444597,
        4.800113784905315,
        4.8001323801676286,
        4.800150975429943,
        4.800169570692258,
        4.800188165954573,
        4.800206761216888,
        4.800224879677605,
        4.800243474939919,
        4.800262070202234,
        4.800280665464549,
        4.800299260726864,
        4.800317379187581,
        4.8003359744498955,
        4.80035456971221,
        4.800373164974525,
        4.80039176023684,
        4.800409878697557,
        4.8004284739598715,
        4.800447069222186,
        4.800465664484501,
        4.800484259746816,
        4.800502378207533,
        4.8005209734698475,
        4.800539568732162,
        4.800558163994477,
        4.800576282455194,
        4.800594877717509,
        4.8006134729798235,
        4.800632068242138,
        4.800650186702855,
        4.80066878196517,
        4.800687377227485,
        4.8007059724898,
        4.800724090950516,
        4.800742686212831,
        4.800761281475146,
        4.800779399935863,
        4.800797995198177,
        4.800816590460492,
        4.800835185722807,
        4.800853304183524,
        4.800871899445839,
        4.800890494708153,
        4.80090861316887,
        4.800927208431185,
        4.8009458036935,
        4.800964398955815,
        4.800982517416531,
        4.801001112678846,
        4.801019707941161,
        4.8010378264018785,
        4.801056421664192,
        4.801075016926507,
        4.801093135387225,
        4.80111173064954,
        4.801130325911854,
        4.801148444372571,
        4.801167039634886,
        4.801185634897201,
        4.8012037533579175,
        4.801222348620232,
        4.801240943882547,
        4.801259062343264,
        4.801277657605579,
        4.801295776066295,
        4.80131437132861,
        4.801332966590925,
        4.801351085051642,
        4.8013696803139565,
        4.801388275576271,
        4.801406394036989,
        4.801424989299303,
        4.80144310776002,
        4.801461703022335,
        4.80148029828465,
        4.801498416745367,
        4.8015170120076816,
        4.801535130468398,
        4.801553725730713,
        4.801572320993028,
        4.8015904394537445,
        4.801609034716059,
        4.801627153176776,
        4.801645748439091,
        4.801664343701406,
        4.801682462162123,
        4.801701057424438,
        4.801719175885155,
        4.80173777114747,
        4.801755889608186,
        4.801774484870501,
        4.801793080132816,
        4.801811198593533,
        4.801829793855847,
        4.801847912316564,
        4.801866507578879,
        4.801884626039596,
        4.801903221301911,
        4.802031957733321,
        4.802050076194037,
        4.802068671456352,
        4.80208678991707,
        4.8021053851793845,
        4.802123503640101,
        4.802142098902416,
        4.802160217363133,
        4.802178812625447,
        4.802196931086164,
        4.802215526348479,
        4.8022336448091965,
        4.802251763269913,
        4.802270358532228,
        4.802288476992945,
        4.802307072255259,
        4.802325190715976,
        4.802343785978291,
        4.8023619044390085,
        4.802380499701323,
        4.80239861816204,
        4.802417213424355,
        4.802435331885071,
        4.802453927147386,
        4.802472045608103,
        4.8024901640688205,
        4.802508759331135,
        4.802526877791852,
        4.802545473054167,
        4.802563591514883,
        4.802582186777198,
        4.802600305237915,
        4.8026184236986325,
        4.802637018960947,
        4.802655137421664,
        4.802673732683979,
        4.802691851144695,
        4.80271044640701,
        4.8027466833284445,
        4.802765278590759,
        4.802783397051476,
        4.802801992313791,
        4.802820110774507,
        4.802838229235225,
        4.802856824497539,
        4.8028749429582565,
        4.802893061418973,
        4.802911656681288,
        4.802929775142005,
        4.803130985416282,
        4.803149103877,
        4.803167699139314,
        4.803185817600031,
        4.803203936060748,
        4.803222531323063,
        4.803240649783779,
        4.803258768244497,
        4.803277363506812,
        4.803295481967528,
        4.803313600428245,
        4.80333219569056,
        4.803350314151277,
        4.803368432611994,
        4.803386551072711,
        4.803405146335026,
        4.803423264795742,
        4.80344138325646,
        4.803459978518775,
        4.803478096979491,
        4.803496215440208,
        4.803514333900925,
        4.80353292916324,
        4.803551047623957,
        4.8035691660846735,
        4.803587284545391,
        4.803605879807705,
        4.803623998268423,
        4.803642116729139,
        4.803660235189856,
        4.803678830452171,
        4.803696948912888,
        4.803715067373605,
        4.8037331858343215,
        4.803751781096636,
        4.803769899557354,
        4.8037880180180705,
        4.803806136478787,
        4.803824731741102,
        4.803842850201819,
        4.803860968662536,
        4.803879087123253,
        4.8038972055839695,
        4.803915800846284,
        4.803933919307002,
        4.8039520377677185,
        4.803970156228435,
        4.803988274689153,
        4.8040068699514675,
        4.804024988412184,
        4.804043106872901,
        4.804061225333618,
        4.804079343794335,
        4.80409793905665,
        4.8041160575173665,
        4.804134175978083,
        4.804152294438801,
        4.804170412899517,
        4.804188531360234,
        4.804207126622549,
        4.804225245083266,
        4.804243363543983,
        4.8042614820047,
        4.804279600465417,
        4.804297718926134,
        4.804316314188449,
        4.804334432649165,
        4.804352551109883,
        4.804370669570599,
        4.804388788031316,
        4.804406906492034,
        4.80442502495275,
        4.804443143413467,
        4.804461738675782,
        4.804479857136499,
        4.804497975597216,
        4.804516094057933,
        4.80453421251865,
        4.804552330979367,
        4.804570449440083,
        4.804588567900801,
        4.8046066863615176,
        4.804624804822234,
        4.804643400084549,
        4.804661518545266,
        4.804679637005983,
        4.8046977554667,
        4.8047158739274165,
        4.804733992388134,
        4.804752110848851,
        4.804770229309567,
        4.804788347770285,
        4.8048064662310015,
        4.804824584691718,
        4.804842703152436,
        4.804860821613152,
        4.804878940073869,
        4.804897535336184,
        4.804915653796901,
        4.804933772257618,
        4.804951890718335,
        4.804970009179052,
        4.804988127639769,
        4.805006246100485,
        4.805024364561203,
        4.80504248302192,
        4.805060601482636,
        4.805078719943354,
        4.80509683840407,
        4.805114956864787,
        4.805133075325505,
        4.805151193786221,
        4.805169312246938,
        4.805187430707655,
        4.805205549168372,
        4.805223667629089,
        4.805241786089806,
        4.805259904550523,
        4.8052780230112395,
        4.805296141471957,
        4.805314259932674,
        4.80533237839339,
        4.805350496854108,
        4.8053686153148245,
        4.805386733775541,
        4.805404852236259,
        4.805422970696975,
        4.805441089157692,
        4.8054592076184095,
        4.805476849277528,
        4.8054949677382455,
        4.805513086198962,
        4.805621796963264,
        4.80563991542398,
        4.805658033884698,
        4.805676152345415,
        4.805694270806131,
        4.805712389266849,
        4.805730507727565,
        4.805748149386685,
        4.805766267847401,
        4.805784386308119,
        4.8058025047688355,
        4.805820623229552,
        4.80583874169027,
        4.805856860150986,
        4.805874978611703,
        4.8058930970724205,
        4.805911215533137,
        4.8059288571922565,
        4.805946975652973,
        4.80596509411369,
        4.805983212574407,
        4.806001331035124,
        4.806019449495841,
        4.806037567956558,
        4.806055209615677,
        4.806073328076394,
        4.806091446537111,
        4.806109564997827,
        4.806127683458545,
        4.8061458019192616,
        4.806163920379978,
        4.8061815620390975,
        4.806199680499815,
        4.808464249688633,
        4.810945286802859,
        4.810966742874761,
        4.810988198946663,
        4.811009655018564,
        4.811031111090466,
        4.811052567162368,
        4.811073546432672,
        4.81118082679218,
        4.811202282864081,
        4.811223738935983,
        4.811245195007885,
        4.811266651079786,
        4.811288107151688,
        4.811309563223589,
        4.8113310192954915,
        4.811352475367393,
        4.811373931439294,
        4.811395387511196,
        4.8114163667815,
        4.811608994627017,
        4.811630450698918,
        4.8116519067708206,
        4.811673362842722,
        4.811694818914623,
        4.811716274986525,
        4.811737731058427,
        4.811994250318051,
        4.812015229588354,
        4.813022234562938,
        4.814798797316394,
        4.814819776586698,
        4.814840755857001,
        4.8148622119289035,
        4.814883191199207,
        4.814904170469511,
        4.814925149739815,
        4.814946605811716,
        4.81496758508202,
        4.814988564352324,
        4.815010020424226,
        4.815030999694529,
        4.815051978964833,
        4.815072958235137,
        4.815094414307039,
        4.815115393577343,
        4.815136372847646,
        4.815157828919548,
        4.8151788081898514,
        4.8151997874601555,
        4.81522076673046,
        4.815242222802361,
        4.815263202072665,
        4.815284181342969,
        4.815305160613272,
        4.8153261398835765,
        4.815347595955478,
        4.815368575225782,
        4.815389554496086,
        4.815410533766389,
        4.815431989838292,
        4.815452969108595,
        4.815473948378899,
        4.815494927649203,
        4.815515906919506,
        4.815537362991408,
        4.815558342261712,
        4.815579321532016,
        4.81560030080232,
        4.815621280072623,
        4.815642259342927,
        4.8156637154148285,
        4.815684694685133,
        4.815705673955437,
        4.815726653225741,
        4.815747632496044,
        4.815768611766348,
        4.8157900678382495,
        4.815811047108554,
        4.815832026378858,
        4.815853005649161,
        4.815873984919465,
        4.815894964189769,
        4.815915943460072,
        4.8159373995319745,
        4.815958378802278,
        4.815979358072582,
        4.816000337342886,
        4.816021316613189,
        4.816042295883493,
        4.816063275153797,
        4.816084254424101,
        4.816105233694405,
        4.816126689766307,
        4.81614766903661,
        4.816168648306914,
        4.816189627577218,
        4.8162106068475214,
        4.8162315861178255,
        4.81625256538813,
        4.816273544658433,
        4.816294523928737,
        4.816315503199041,
        4.816336482469345,
        4.816357461739648,
        4.816378441009952,
        4.8163994202802565,
        4.81642039955056,
        4.816441378820864,
        4.816462358091168,
        4.816483814163069,
        4.816504793433373,
        4.8165257727036765,
        4.816546751973981,
        4.816567731244285,
        4.816588710514589,
        4.816609689784892,
        4.816630669055196,
        4.8166516483255,
        4.816672627595803,
        4.8166936068661075,
        4.816714586136412,
        4.816735565406715,
        4.816756544677019,
        4.816777523947323,
        4.816798503217627,
        4.81681948248793,
        4.816839984956636,
        4.81686096422694,
        4.816881943497244,
        4.816902922767548,
        4.816923902037852,
        4.816944881308156,
        4.81696586057846,
        4.816986839848763,
        4.817007819119067,
        4.817028798389371,
        4.817049777659674,
        4.817070756929978,
        4.8170917362002825,
        4.817112715470587,
        4.81713369474089,
        4.817154674011194,
        4.8171751764799,
        4.817196155750204,
        4.817217135020508,
        4.817238114290811,
        4.817259093561115,
        4.817280072831419,
        4.8173010521017225,
        4.817322031372027,
        4.817343010642331,
        4.817363513111037,
        4.817384492381341,
        4.817405471651644,
        4.817426450921948,
        4.817447430192252,
        4.817468409462555,
        4.817489388732859,
        4.8175103680031635,
        4.817530870471869,
        4.817551849742173,
        4.817572829012477,
        4.817593808282781,
        4.817614787553085,
        4.817635766823388,
        4.817656269292095,
        4.817677248562398,
        4.817698227832702,
        4.817719207103006,
        4.817740186373309,
        4.817760688842016,
        4.817781668112319,
        4.817802647382623,
        4.8178236266529275,
        4.817844605923231,
        4.8178651083919375,
        4.817886087662241,
        4.817907066932545,
        4.817928046202849,
        4.817949025473152,
        4.817969527941858,
        4.817990507212162,
        4.818011486482466,
        4.81803246575277,
        4.818052968221476,
        4.818073947491779,
        4.818094926762083,
        4.8181159060323875,
        4.818136408501093,
        4.8181573877713975,
        4.818178367041701,
        4.818199346312005,
        4.818219848780711,
        4.818240828051015,
        4.818261807321319,
        4.818282786591622,
        4.818303289060328,
        4.818324268330632,
        4.818345247600936,
        4.818365750069642,
        4.818386729339946,
        4.818407708610249,
        4.818428211078956,
        4.818449190349259,
        4.818470169619563,
        4.818491148889867,
        4.818511651358573,
        4.818532630628877,
        4.818553609899181,
        4.8185741123678865,
        4.8185950916381906,
        4.818616070908495,
        4.8186365733772005,
        4.818657552647505,
        4.818678531917808,
        4.818699034386514,
        4.818720013656818,
        4.818740516125524,
        4.818761495395828,
        4.818782474666132,
        4.818802977134838,
        4.818823956405142,
        4.818844935675445,
        4.818865438144151,
        4.818886417414455,
        4.818906919883161,
        4.818927899153465,
        4.818948878423769,
        4.818969380892475,
        4.818990360162778,
        4.819010862631485,
        4.819031841901788,
        4.819052821172092,
        4.819073323640798,
        4.819094302911102,
        4.819114805379808,
        4.819135784650112,
        4.819156763920415,
        4.819177266389122,
        4.819198245659425,
        4.819218748128131,
        4.819239727398435,
        4.819260229867141,
        4.819281209137445,
        4.819301711606151,
        4.819322690876455,
        4.819343193345161,
        4.819364172615465,
        4.819385151885768,
        4.819405654354474,
        4.819426633624778,
        4.819447136093484,
        4.819468115363788,
        4.819488617832494,
        4.819509597102798,
        4.819530099571504,
        4.819551078841808,
        4.819571581310514,
        4.819592560580818,
        4.819613063049524,
        4.819634042319827,
        4.819654544788534,
        4.819675524058837,
        4.819696026527543,
        4.819717005797847,
        4.819737508266553,
        4.819758010735259,
        4.819778990005563,
        4.819799492474269,
        4.819820471744573,
        4.819840974213279,
        4.819861953483583,
        4.819882455952289,
        4.819903435222593,
        4.819923937691299,
        4.819944440160005,
        4.819965419430309,
        4.819985921899015,
        4.820006901169318,
        4.820027403638025,
        4.820048382908328,
        4.820068885377034,
        4.820089387845741,
        4.820110367116044,
        4.82013086958475,
        4.820151848855054,
        4.82017235132376,
        4.820192853792466,
        4.82021383306277,
        4.820234335531476,
        4.82025531480178,
        4.820275817270486,
        4.8202963197391915,
        4.820317299009496,
        4.8203378014782015,
        4.820358303946907,
        4.820379283217211,
        4.820399785685917,
        4.820420288154623,
        4.820441267424927,
        4.820461769893633,
        4.820936664285056,
        4.820957166753762,
        4.820978146024066,
        4.820998648492772,
        4.821019150961478,
        4.8210396534301845,
        4.821060632700488,
        4.821081135169194,
        4.8211016376378995,
        4.821122140106606,
        4.821143119376909,
        4.821163621845615,
        4.821184124314322,
        4.821204626783028,
        4.821225129251734,
        4.821246108522038,
        4.821266610990744,
        4.82128711345945,
        4.821307615928156,
        4.8213281183968615,
        4.821349097667166,
        4.8213696001358715,
        4.821390102604577,
        4.821410605073283,
        4.821431107541989,
        4.821451610010696,
        4.821472589280999,
        4.821493091749705,
        4.821513594218412,
        4.821534096687118,
        4.8215545991558235,
        4.821575101624529,
        4.8215960808948335,
        4.821616583363539,
        4.821637085832245,
        4.821657588300951,
        4.821678090769657,
        4.821698593238363,
        4.82171909570707,
        4.821740074977373,
        4.821760577446079,
        4.8217810799147856,
        4.821801582383491,
        4.821904094727021,
        4.821925073997325,
        4.821945576466031,
        4.821966078934737,
        4.8219865814034435,
        4.822007083872149,
        4.822027586340855,
        4.822048088809561,
        4.822068591278267,
        4.822089093746973,
        4.822109596215679,
        4.822130098684385,
        4.8221506011530915,
        4.822171103621797,
        4.822191606090503,
        4.822212108559209,
        4.822232611027915,
        4.822253113496621,
        4.822274092766925,
        4.822294595235631,
        4.822315097704337,
        4.822335600173043,
        4.822356102641749,
        4.822376605110455,
        4.822397107579161,
        4.822417610047867,
        4.822438112516573,
        4.822458614985279,
        4.822479117453985,
        4.8224996199226915,
        4.822520122391397,
        4.822540624860103,
        4.822561127328809,
        4.822581629797515,
        4.822602132266221,
        4.822622634734927,
        4.822643137203634,
        4.822663162870741,
        4.822683665339447,
        4.822704167808153,
        4.82272467027686,
        4.822745172745566,
        4.822765675214272,
        4.8227861776829775,
        4.822806680151683,
        4.822827182620389,
        4.822847685089095,
        4.822868187557802,
        4.822888690026508,
        4.822909192495214,
        4.8229296949639195,
        4.822950197432625,
        4.822970699901331,
        4.82299072556844,
        4.823011228037146,
        4.823031730505852,
        4.8230522329745575,
        4.823072735443263,
        4.82309323791197,
        4.823113740380676,
        4.823134242849382,
        4.823154745318088,
        4.823174770985196,
        4.823195273453902,
        4.823215775922608,
        4.823236278391314,
        4.82325678086002,
        4.823277283328726,
        4.823297785797432,
        4.8233182882661385,
        4.823338313933246,
        4.823358816401952,
        4.823379318870658,
        4.823399821339365,
        4.823420323808071,
        4.8234408262767765,
        4.823460851943884,
        4.823481354412591,
        4.823501856881297,
        4.823522359350003,
        4.823542861818709,
        4.823562887485817,
        4.823583389954523,
        4.823603892423229,
        4.823624394891935,
        4.823644897360641,
        4.823664923027749,
        4.823685425496455,
        4.823705927965161,
        4.823726430433867,
        4.823746932902573,
        4.823766958569681,
        4.823787461038387,
        4.823807963507093,
        4.823828465975799,
        4.823848491642908,
        4.8238689941116135,
        4.823889496580319,
        4.823909999049025,
        4.823930024716134,
        4.82395052718484,
        4.823971029653546,
        4.8239915321222515,
        4.82401155778936,
        4.824032060258066,
        4.824052562726772,
        4.824073065195478,
        4.824093090862586,
        4.824113593331292,
        4.824134095799998,
        4.824154121467107,
        4.8241746239358125,
        4.824195126404518,
        4.824215628873224,
        4.824235654540333,
        4.824256157009039,
        4.824276659477745,
        4.824296685144853,
        4.824317187613559,
        4.824337690082265,
        4.824357715749373,
        4.824378218218079,
        4.824398720686785,
        4.824418746353893,
        4.824439248822599,
        4.824459751291306,
        4.824479776958413,
        4.824500279427119,
        4.824520781895825,
        4.824540807562934,
        4.82456131003164,
        4.8245818125003455,
        4.824601838167454,
        4.82462234063616,
        4.8246423663032685,
        4.824662868771974,
        4.82468337124068,
        4.824703396907789,
        4.824723899376495,
        4.824744401845201,
        4.824764427512308,
        4.824784929981015,
        4.824804955648123,
        4.824825458116829,
        4.8248459605855345,
        4.824865986252643,
        4.824886488721349,
        4.8249065143884575,
        4.824927016857163,
        4.824947042524271,
        4.824967544992978,
        4.824988047461684,
        4.825008073128791,
        4.825028575597497,
        4.825048601264606,
        4.825069103733312,
        4.82508912940042,
        4.825109631869126,
        4.825129657536234,
        4.825150160004941,
        4.825170662473647,
        4.825190688140754,
        4.82521119060946,
        4.825231216276569,
        4.825251718745275,
        4.825271744412383,
        4.825292246881089,
        4.825312272548197,
        4.8253327750169035,
        4.825352800684011,
        4.825373303152717,
        4.825393328819826,
        4.825555441363083,
        4.82557546703019,
        4.825595969498897,
        4.825615995166005,
        4.825636497634711,
        4.825656523301819,
        4.825677025770525,
        4.825697051437634,
        4.8257175539063395,
        4.825737579573447,
        4.825758082042153,
        4.825778107709262,
        4.82579813337637,
        4.825818635845076,
        4.825838661512184,
        4.82585916398089,
        4.825879189647998,
        4.825899215315107,
        4.825919717783813,
        4.82593974345092,
        4.825960245919626,
        4.825980271586735,
        4.826000297253843,
        4.826020799722549,
        4.826040825389657,
        4.826061327858363,
        4.826081353525471,
        4.82610137919258,
        4.826121881661286,
        4.8261419073283935,
        4.826162409797099,
        4.826182435464208,
        4.826202461131317,
        4.8262229636000225,
        4.82624298926713,
        4.826263014934239,
        4.826283517402945,
        4.826303543070053,
        4.826323568737161,
        4.826344071205867,
        4.826364096872975,
        4.826384122540084,
        4.82640462500879,
        4.826424650675897,
        4.826444676343006,
        4.826465178811712,
        4.8264852044788205,
        4.826505230145928,
        4.826525732614634,
        4.826545758281743,
        4.82656578394885,
        4.826585809615959,
        4.826606312084665,
        4.826626337751773,
        4.826646363418881,
        4.826666865887587,
        4.826686891554695,
        4.826706917221804,
        4.826726942888912,
        4.826747445357618,
        4.826767471024726,
        4.826787496691835,
        4.826807522358942,
        4.826828024827648,
        4.826848050494757,
        4.8268680761618645,
        4.826888101828973,
        4.826908604297679,
        4.8269286299647876,
        4.826948655631895,
        4.826968681299004,
        4.82698918376771,
        4.827009209434818,
        4.827029235101926,
        4.8270492607690345,
        4.827069286436142,
        4.827089788904848,
        4.827109814571957,
        4.827129840239065,
        4.827149865906173,
        4.8271698915732815,
        4.827190394041987,
        4.827210419709096,
        4.827230445376204,
        4.827250471043312,
        4.82727049671042,
        4.827290522377528,
        4.827311024846234,
        4.827331050513343,
        4.827351076180451,
        4.827371101847559,
        4.827391127514667,
        4.827411153181775,
        4.827431655650481,
        4.82745168131759,
        4.8274717069846975,
        4.827491732651806,
        4.827511758318914,
        4.827531783986022,
        4.827551809653131,
        4.827572312121837,
        4.8275923377889445,
        4.827612363456053,
        4.827632389123161,
        4.827652414790269,
        4.827672440457378,
        4.8276924661244855,
        4.827712491791594,
        4.827732517458702,
        4.827753019927408,
        4.827773045594516,
        4.827793071261625,
        4.8278130969287325,
        4.827833122595841,
        4.827853148262949,
        4.827873173930057,
        4.827893199597165,
        4.827913225264274,
        4.827933250931382,
        4.82795327659849,
        4.827973302265598,
        4.827993327932706,
        4.828013353599815,
        4.828033379266923,
        4.828053881735629,
        4.828073907402737,
        4.828093933069845,
        4.828113958736953,
        4.828133984404062,
        4.82815401007117,
        4.828174035738278,
        4.828194061405386,
        4.828214087072494,
        4.828234112739603,
        4.82825413840671,
        4.828274164073819,
        4.8282941897409275,
        4.828314215408035,
        4.828334241075144,
        4.828354266742251,
        4.82837429240936,
        4.828394318076469,
        4.828414343743576,
        4.828434369410685,
        4.8284543950777925,
        4.828474420744901,
        4.828494446412009,
        4.828514472079117,
        4.828534497746226,
        4.828554046611736,
        4.828574072278844,
        4.8285940979459525,
        4.82861412361306,
        4.828634149280169,
        4.828654174947277,
        4.828674200614385,
        4.828694226281494,
        4.828714251948601,
        4.82873427761571,
        4.8287543032828175,
        4.828774328949926,
        4.828794354617035,
        4.828814380284142,
        4.828834405951251,
        4.828853954816761,
        4.828873980483869,
        4.8288940061509775,
        4.828914031818086,
        4.828934057485194,
        4.828954083152302,
        4.82897410881941,
        4.828994134486519,
        4.829213463221513,
        4.8292334888886215,
        4.829253514555729,
        4.829273540222838,
        4.829293565889945,
        4.829313114755456,
        4.829333140422564,
        4.829353166089673,
        4.829373191756781,
        4.829393217423889,
        4.8294127662893995,
        4.829432791956507,
        4.829452817623616,
        4.8294728432907235,
        4.829492868957832,
        4.829512417823342,
        4.829532443490451,
        4.829552469157559,
        4.829572494824667,
        4.829592520491775,
        4.829612069357285,
        4.829632095024394,
        4.829652120691502,
        4.82967214635861,
        4.8296916952241205,
        4.829711720891229,
        4.829731746558337,
        4.829751772225445,
        4.829771321090956,
        4.829791346758064,
        4.829811372425172,
        4.8298313980922805,
        4.829850946957791,
        4.8298709726248985,
        4.829890998292007,
        4.829911023959115,
        4.829930572824625,
        4.829950598491734,
        4.829970624158842,
        4.829990173024353,
        4.83001019869146,
        4.830030224358569,
        4.830050250025677,
        4.830069798891187,
        4.8300898245582955,
        4.830109850225404,
        4.830129399090914,
        4.830149424758022,
        4.830169450425131,
        4.830188999290641,
        4.830209024957749,
        4.830229050624857,
        4.830248599490368,
        4.830268625157476,
        4.830288650824584,
        4.830308199690094,
        4.830328225357203,
        4.8303482510243105,
        4.830367799889821,
        4.8303878255569295,
        4.830407851224037,
        4.8304274000895475,
        4.830447425756656,
        4.830467451423765,
        4.830487000289275,
        4.830507025956383,
        4.830526574821893,
        4.830546600489002,
        4.830566626156109,
        4.83058617502162,
        4.830606200688728,
        4.830625749554239,
        4.830645775221347,
        4.830665800888455,
        4.830685349753965,
        4.830705375421074,
        4.830724924286584,
        4.830744949953692,
        4.8307649756208,
        4.830784524486311,
        4.830804550153419,
        4.83082409901893,
        4.830844124686037,
        4.830863673551548,
        4.830883699218656,
        4.830903724885764,
        4.830923273751274,
        4.830943299418383,
        4.830962848283893,
        4.830982873951002,
        4.831002422816512,
        4.83102244848362,
        4.83104199734913,
        4.831062023016239,
        4.831081571881749,
        4.831101597548857,
        4.831121146414367,
        4.831141172081476,
        4.831161197748584,
        4.831180746614095,
        4.8312007722812025,
        4.831220321146713,
        4.831240346813821,
        4.831259895679332,
        4.8312799213464395,
        4.83129947021195,
        4.831319495879058,
        4.831339044744569,
        4.831358593610079,
        4.831378619277188,
        4.831398168142698,
        4.831418193809806,
        4.831437742675316,
        4.831457768342425,
        4.831477317207935,
        4.831497342875043,
        4.831516891740553,
        4.831536917407662,
        4.831556466273172,
        4.831576491940281,
        4.831596040805791,
        4.831615589671301,
        4.831635615338409,
        4.831655164203919,
        4.831675189871028,
        4.831694738736538,
        4.831714764403646,
        4.831734313269156,
        4.831753862134667,
        4.831773887801775,
        4.831793436667286,
        4.831813462334394,
        4.831833011199905,
        4.831852560065415,
        4.831872585732523,
        4.831892134598033,
        4.831912160265142,
        4.831931709130652,
        4.831951257996162,
        4.83197128366327,
        4.83199083252878,
        4.832010381394291,
        4.832030407061399,
        4.83204995592691,
        4.832069981594018,
        4.832089530459529,
        4.832109079325039,
        4.832129104992147,
        4.832148653857657,
        4.832168202723167,
        4.832188228390276,
        4.832207777255786,
        4.832227326121297,
        4.832247351788404,
        4.832266900653915,
        4.832286449519425,
        4.832306475186534,
        4.832326024052044,
        4.832345572917554,
        4.832365121783065,
        4.832385147450173,
        4.832404696315684,
        4.832424245181194,
        4.832444270848302,
        4.832463819713812,
        4.8324833685793225,
        4.832503394246431,
        4.832522943111941,
        4.832542491977452,
        4.832562040842962,
        4.832582066510071,
        4.832601615375581,
        4.83287672989752,
        4.832896755564628,
        4.832916304430138,
        4.832935853295648,
        4.832955402161159,
        4.832974951026669,
        4.832994976693778,
        4.833014525559288,
        4.833034074424798,
        4.833053623290309,
        4.833073172155819,
        4.833093197822927,
        4.833112746688437,
        4.8331322955539475,
        4.833151844419458,
        4.833171393284969,
        4.8331909421504795,
        4.833210967817587,
        4.8332305166830976,
        4.833250065548608,
        4.833269614414118,
        4.833289163279629,
        4.833308712145139,
        4.833328737812248,
        4.833348286677758,
        4.833367835543268,
        4.833387384408779,
        4.833406933274289,
        4.833426482139799,
        4.83344603100531,
        4.83346557987082,
        4.833485605537928,
        4.833505154403439,
        4.8335247032689495,
        4.83354425213446,
        4.83356380099997,
        4.8335833498654805,
        4.833602898730991,
        4.833622447596501,
        4.833641996462012,
        4.833662022129119,
        4.83368157099463,
        4.83370111986014,
        4.83372066872565,
        4.833740217591161,
        4.833759766456671,
        4.8337793153221815,
        4.833798864187692,
        4.833818413053202,
        4.833837961918713,
        4.833857510784223,
        4.833877059649733,
        4.833896608515244,
        4.833916157380754,
        4.8339357062462645,
        4.833955255111775,
        4.833974803977286,
        4.833994829644394,
        4.834014378509904,
        4.8340339273754145,
        4.834053476240925,
        4.834073025106435,
        4.834092573971946,
        4.834112122837456,
        4.834131671702966,
        4.834151220568477,
        4.834170769433987,
        4.834190318299497,
        4.834209867165008,
        4.834229416030518,
        4.8342489648960285,
        4.834268513761539,
        4.834288062627049,
        4.83430761149256,
        4.83432716035807,
        4.83434670922358,
        4.834366258089091,
        4.834385330153004,
        4.834404879018514,
        4.8344244278840245,
        4.834443976749535,
        4.834463525615045,
        4.834483074480556,
        4.834502623346066,
        4.834522172211576,
        4.834541721077087,
        4.834561269942597,
        4.834580818808107,
        4.834600367673618,
        4.834619916539128,
        4.8346394654046385,
        4.834659014270149,
        4.834678563135659,
        4.83469811200117,
        4.834717184065083,
        4.834736732930593,
        4.834756281796103,
        4.834775830661614,
        4.834795379527124,
        4.8348149283926345,
        4.834834477258145,
        4.834854026123655,
        4.834873574989166,
        4.834892647053078,
        4.834912195918588,
        4.8349317447840985,
        4.834951293649609,
        4.834970842515119,
        4.83499039138063,
        4.83500994024614,
        4.83502948911165,
        4.835048561175563,
        4.835068110041074,
        4.835087658906584,
        4.8351072077720945,
        4.835126756637605,
        4.835146305503115,
        4.835165377567027,
        4.835184926432538,
        4.835204475298048,
        4.8352240241635585,
        4.835243573029069,
        4.835263121894579,
        4.835282193958492,
        4.835301742824003,
        4.835321291689513,
        4.835340840555023,
        4.835360389420534,
        4.835379461484446,
        4.835399010349956,
        4.8354185592154675,
        4.835438108080978,
        4.835457656946488,
        4.8354767290104,
        4.835496277875911,
        4.835515826741421,
        4.8355353756069315,
        4.8355544476708445,
        4.835573996536355,
        4.835593545401865,
        4.835613094267376,
        4.835632166331288,
        4.835651715196798,
        4.8356712640623085,
        4.835690812927819,
        4.835709884991732,
        4.835729433857242,
        4.835748982722753,
        4.835768531588263,
        4.835787603652175,
        4.835807152517686,
        4.835826701383196,
        4.835846250248706,
        4.835865322312619,
        4.83588487117813,
        4.83590442004364,
        4.835923492107552,
        4.835943040973063,
        4.835962589838573,
        4.835982138704083,
        4.836001210767996,
        4.836020759633507,
        4.836040308499017,
        4.836059380562929,
        4.83607892942844,
        4.83609847829395,
        4.836117550357863,
        4.836137099223373,
        4.836156648088884,
        4.836175720152796,
        4.836195269018306,
        4.836505190056886,
        4.836524738922396,
        4.836543810986308,
        4.836563359851819,
        4.83658290871733,
        4.836601980781242,
        4.836621529646752,
        4.8366406017106645,
        4.836660150576175,
        4.836679222640088,
        4.836698771505598,
        4.836718320371109,
        4.836737392435021,
        4.836756941300531,
        4.836776013364444,
        4.8367955622299545,
        4.836814634293867,
        4.836834183159377,
        4.836853732024887,
        4.8368728040888005,
        4.836892352954311,
        4.836911425018223,
        4.836930973883733,
        4.836950045947646,
        4.836969594813157,
        4.836988666877069,
        4.837008215742579,
        4.837027287806492,
        4.837046836672003,
        4.837065908735915,
        4.837085457601425,
        4.837104529665338,
        4.837124078530849,
        4.837143150594761,
        4.837162699460271,
        4.837181771524184,
        4.837201320389695,
        4.837220392453607,
        4.837239941319117,
        4.83725901338303,
        4.837278562248541,
        4.837297634312453,
        4.837317183177963,
        4.837336255241876,
        4.8373558041073865,
        4.837374876171299,
        4.837394425036809,
        4.837413497100722,
        4.8374330459662325,
        4.837452118030145,
        4.837471190094057,
        4.837490738959567,
        4.83750981102348,
        4.837529359888991,
        4.837548431952903,
        4.837567980818413,
        4.837587052882326,
        4.837606124946238,
        4.837625673811749,
        4.837644745875662,
        4.837664294741172,
        4.837683366805084,
        4.837702438868997,
        4.837721987734508,
        4.83774105979842,
        4.83776060866393,
        4.837779680727843,
        4.837798752791755,
        4.837818301657266,
        4.837837373721179,
        4.837856922586689,
        4.837875994650601,
        4.837895066714514,
        4.837914615580025,
        4.837933687643937,
        4.83795275970785,
        4.83797230857336,
        4.8379913806372725,
        4.838010929502783,
        4.838030001566695,
        4.838049073630608,
        4.8380686224961185,
        4.838087694560031,
        4.838106766623944,
        4.838126315489454,
        4.838145387553366,
        4.838164459617279,
        4.83818400848279,
        4.838203080546702,
        4.838222152610615,
        4.838241701476125,
        4.838260773540037,
        4.83827984560395,
        4.838299394469461,
        4.838318466533373,
        4.838337538597286,
        4.838356610661198,
        4.8383761595267085,
        4.838395231590622,
        4.838414303654534,
        4.838433852520044,
        4.838452924583956,
        4.838471996647869,
        4.8384910687117815,
        4.838510617577292,
        4.838529689641205,
        4.838548761705117,
        4.83856783376903,
        4.8385873826345405,
        4.838606454698453,
        4.838625526762366,
        4.838644598826278,
        4.838664147691788,
        4.838683219755701,
        4.838702291819613,
        4.8387213638835265,
        4.838740912749037,
        4.838759984812949,
        4.838779056876861,
        4.838798128940774,
        4.838817677806285,
        4.838836749870197,
        4.83885582193411,
        4.838874893998022,
        4.838893966061935,
        4.838913514927445,
        4.8389325869913575,
        4.838951659055271,
        4.838970731119183,
        4.838989803183096,
        4.839009352048606,
        4.839028424112518,
        4.839047496176431,
        4.8390665682403435,
        4.839085640304256,
        4.839104712368169,
        4.839124261233679,
        4.839143333297591,
        4.839162405361504,
        4.8391814774254165,
        4.8392005494893295,
        4.839219621553242,
        4.839239170418752,
        4.839258242482665,
        4.839277314546577,
        4.83929638661049,
        4.8393154586744025,
        4.8393345307383155,
        4.839353602802228,
        4.839373151667738,
        4.83939222373165,
        4.839411295795563,
        4.8394303678594754,
        4.8394494399233885,
        4.839468511987301,
        4.839487584051214,
        4.839506656115126,
        4.839525728179039,
        4.839545277044549,
        4.8395643491084614,
        4.8395834211723745,
        4.839602493236287,
        4.8396215653002,
        4.839640637364112,
        4.839659709428024,
        4.839678781491937,
        4.839697853555849,
        4.839716925619762,
        4.8397359976836745,
        4.8397550697475875,
        4.840689124077706,
        4.840708196141618,
        4.84072726820553,
        4.840746340269443,
        4.840765412333355,
        4.840784484397268,
        4.84080355646118,
        4.8408226285250935,
        4.840841700589006,
        4.840860772652919,
        4.8408793679152335,
        4.840898439979146,
        4.840917512043058,
        4.840936584106971,
        4.840955656170883,
        4.840974728234796,
        4.840993800298708,
        4.841012395561023,
        4.841031467624936,
        4.841050539688848,
        4.841069611752761,
        4.841088683816674,
        4.841107755880586,
        4.841126351142901,
        4.841145423206814,
        4.841164495270726,
        4.841183567334639,
        4.841202639398551,
        4.841221711462464,
        4.841240306724779,
        4.841259378788691,
        4.841278450852603,
        4.841297522916516,
        4.841316594980428,
        4.841335190242743,
        4.841354262306656,
        4.8413733343705685,
        4.8413924064344815,
        4.841411478498394,
        4.8414300737607086,
        4.841449145824621,
        4.841468217888534,
        4.841487289952446,
        4.841505885214761,
        4.841524957278674,
        4.841544029342586,
        4.841563101406499,
        4.841581696668814,
        4.841600768732726,
        4.841619840796638,
        4.841638912860551,
        4.841657508122866,
        4.841676580186778,
        4.841695652250691,
        4.8417147243146035,
        4.841733319576918,
        4.841752391640831,
        4.8417714637047435,
        4.841790535768656,
        4.8418091310309705,
        4.841828203094884,
        4.841847275158796,
        4.841865870421111,
        4.841884942485024,
        4.841904014548936,
        4.841923086612849,
        4.8431313018617095,
        4.843244303840391,
        4.843262899102706,
        4.843281971166619,
        4.843300566428933,
        4.843319638492846,
        4.843338233755161,
        4.843845550655235,
        4.843864622719148,
        4.843883217981463,
        4.843901813243777,
        4.84392088530769,
        4.843939480570005,
        4.843958552633917,
        4.843977147896232,
        4.843995743158547,
        4.84401481522246,
        4.844033410484774,
        4.844052005747089,
        4.844071077811002,
        4.8440896730733165,
        4.844108268335631,
        4.8441273403995435,
        4.844145935661858,
        4.844164530924173,
        4.844183602988085,
        4.8442021982504,
        4.844220793512715,
        4.844239865576628,
        4.844258460838942,
        4.844277056101257,
        4.844295651363572,
        4.844314723427485,
        4.8443333186898,
        4.844351913952114,
        4.844370986016027,
        4.8443895812783415,
        4.844408176540656,
        4.8444272486045685,
        4.844445843866883,
        4.844464439129198,
        4.844483034391513,
        4.844502106455425,
        4.84452070171774,
        4.844539296980055,
        4.84455789224237,
        4.844576964306282,
        4.844595559568597,
        4.844614154830912,
        4.8446327500932265,
        4.8446518221571395,
        4.8446704174194535,
        4.844689012681768,
        4.844707607944083,
        4.844726680007996,
        4.844745275270311,
        4.844763870532626,
        4.84478246579494,
        4.844801061057255,
        4.844820133121168,
        4.844838728383483,
        4.8448573236457975,
        4.844875918908111,
        4.8448949909720245,
        4.844913586234339,
        4.844932181496654,
        4.844950776758969,
        4.844969372021283,
        4.844988444085196,
        4.845007039347511,
        4.845025634609826,
        4.845044229872141,
        4.845062825134455,
        4.845081420396769,
        4.845100492460682,
        4.845119087722997,
        4.845137682985312,
        4.845156278247627,
        4.845174873509941,
        4.845193468772256,
        4.845212540836169,
        4.845231136098484,
        4.8452497313607985,
        4.845268326623113,
        4.845286921885427,
        4.845305517147742,
        4.845324112410057,
        4.84534318447397,
        4.845361779736285,
        4.845380374998599,
        4.845398970260914,
        4.8454175655232286,
        4.845436160785543,
        4.845454756047858,
        4.845473351310173,
        4.845491946572488,
        4.8455110186364,
        4.845529613898715,
        4.84554820916103,
        4.845566804423345,
        4.8455853996856595,
        4.845603994947974,
        4.845622590210289,
        4.845641185472604,
        4.845659780734918,
        4.845678375997233,
        4.845696971259548,
        4.8457155665218625,
        4.845734638585776,
        4.8457532338480895,
        4.845771829110404,
        4.845790424372719,
        4.845809019635034,
        4.845827614897349,
        4.845846210159664,
        4.845864805421979,
        4.8458834006842935,
        4.845901995946608,
        4.845920591208923,
        4.845939186471237,
        4.845957781733552,
        4.845976376995867,
        4.845994972258182,
        4.8460135675204965,
        4.846032162782811,
        4.846050758045126,
        4.846069353307441,
        4.846087948569756,
        4.846106543832071,
        4.846125139094385,
        4.8461437343566995,
        4.846162329619014,
        4.846180924881329,
        4.846199520143644,
        4.846218115405959,
        4.846236710668274,
        4.846255305930589,
        4.8462739011929035,
        4.846292496455217,
        4.846311091717532,
        4.846329686979847,
        4.846348282242162,
        4.846366877504477,
        4.846385472766792,
        4.8464040680291065,
        4.846422663291421,
        4.846441258553736,
        4.846459853816051,
        4.846478449078365,
        4.84649704434068,
        4.846515162801397,
        4.846533758063712,
        4.846552353326026,
        4.846570948588341,
        4.846589543850656,
        4.846608139112971,
        4.846626734375286,
        4.8466453296376,
        4.846663924899915,
        4.84668252016223,
        4.846701115424545,
        4.846719710686859,
        4.8467378291475764,
        4.846756424409891,
        4.846775019672206,
        4.846793614934521,
        4.846812210196835,
        4.84683080545915,
        4.846849400721465,
        4.8468679959837795,
        4.846886591246094,
        4.846904709706811,
        4.846923304969126,
        4.846941900231441,
        4.8469604954937555,
        4.84697909075607,
        4.846997686018385,
        4.8470162812807,
        4.847034399741417,
        4.8470529950037315,
        4.8474601835682645,
        4.847478778830579,
        4.847497374092894,
        4.847515492553612,
        4.847534087815926,
        4.8475526830782405,
        4.847571278340555,
        4.847589396801273,
        4.847607992063587,
        4.847626587325902,
        4.8476451825882165,
        4.847663301048934,
        4.847681896311248,
        4.847700491573563,
        4.847719086835878,
        4.847737205296595,
        4.847755800558909,
        4.847774395821224,
        4.847792991083539,
        4.847811109544256,
        4.847829704806571,
        4.847848300068885,
        4.847866418529603,
        4.847885013791918,
        4.8479036090542325,
        4.847922204316546,
        4.847940322777264,
        4.847958918039579,
        4.847977513301894,
        4.84799563176261,
        4.848014227024925,
        4.84803282228724,
        4.848050940747957,
        4.8480695360102715,
        4.848088131272586,
        4.848106249733303,
        4.848124844995618,
        4.848143440257933,
        4.848161558718649,
        4.848180153980964,
        4.848198749243279,
        4.848216867703996,
        4.8482354629663105,
        4.848254058228625,
        4.848272176689343,
        4.848290771951657,
        4.848309367213972,
        4.848327485674689,
        4.848346080937004,
        4.848364676199318,
        4.8483827946600355,
        4.84840138992235,
        4.848419508383067,
        4.848438103645382,
        4.848456698907697,
        4.848474817368413,
        4.848493412630728,
        4.848511531091445,
        4.84853012635376,
        4.8485487216160745,
        4.848566840076791,
        4.848585435339106,
        4.8486035537998236,
        4.848622149062138,
        4.848640744324452,
        4.84865886278517,
        4.848677458047485,
        4.848695576508201,
        4.848714171770516,
        4.848732767032831,
        4.848750885493548,
        4.848769480755863,
        4.848787599216579,
        4.848806194478894,
        4.848824312939612,
        4.848842908201926,
        4.848861026662643,
        4.848879621924958,
        4.848898217187273,
        4.848916335647989,
        4.848934930910304,
        4.848953049371021,
        4.848971644633336,
        4.848989763094052,
        4.849008358356367,
        4.849026476817085,
        4.8490450720794,
        4.849063190540116,
        4.849081785802431,
        4.849099904263148,
        4.849118499525463,
        4.849136617986179,
        4.849155213248494,
        4.849173331709212,
        4.8491919269715265,
        4.849210045432243,
        4.849228640694558,
        4.849246759155275,
        4.849265354417589,
        4.849283472878306,
        4.849302068140621,
        4.8493201866013385,
        4.849338781863652,
        4.84935690032437,
        4.849375495586685,
        4.849393614047401,
        4.849411732508118,
        4.849430327770433,
        4.8494484462311505,
        4.849467041493464,
        4.849485159954182,
        4.849503755216497,
        4.849521873677213,
        4.849540468939528,
        4.849558587400245,
        4.8495767058609625,
        4.849595301123276,
        4.849613419583994,
        4.849632014846309,
        4.849650133307025,
        4.84966872856934,
        4.849686847030057,
        4.8497049654907745,
        4.849723560753089,
        4.849741679213806,
        4.849760274476121,
        4.849778392936837,
        4.849796511397554,
        4.849815106659869,
        4.8498332251205865,
        4.849851820382901,
        4.849869938843618,
        4.849888057304335,
        4.849906652566649,
        4.849924771027366,
        4.849942889488084,
        4.8499614847503985,
        4.849979603211115,
        4.84999819847343,
        4.850016316934147,
        4.850034435394864,
        4.850053030657178,
        4.850071149117896,
        4.850089267578612,
        4.850107862840927,
        4.850125981301644,
        4.850144099762361,
        4.850162695024676,
        4.850180813485393,
        4.850198931946109,
        4.850217527208424,
        4.850235645669141,
        4.850253764129858,
        4.850272359392173,
        4.85029047785289,
        4.850308596313607,
        4.850327191575921,
        4.850345310036639,
        4.850363428497356,
        4.850381546958072,
        4.850400142220387,
        4.850418260681105,
        4.850436379141821,
        4.850454974404136,
        4.850473092864853,
        4.850491211325569,
        4.850509329786287,
        4.850527925048602,
        4.850546043509318,
        4.850564161970035,
        4.850582280430753,
        4.850600875693067,
        4.850618994153784,
        4.850637112614501,
        4.8506557078768155,
        4.853249508568926,
        4.856136065442092,
        4.856157521513993,
        4.856179454387493,
        4.856200910459395,
        4.856222843332894,
        4.856244299404796,
        4.856265755476698,
        4.856287688350197,
        4.856309144422099,
        4.856331077295598,
        4.8563525333675,
        4.856373989439401,
        4.856395922312901,
        4.856417378384802,
        4.856439311258302,
        4.856460767330203,
        4.8564822234021054,
        4.856504156275605,
        4.8565256123475065,
        4.856547068419408,
        4.8565690012929075,
        4.856590457364809,
        4.85661191343671,
        4.85663384631021,
        4.856655302382112,
        4.856676758454014,
        4.856698691327513,
        4.856720147399415,
        4.856741603471316,
        4.856763536344816,
        4.856784992416717,
        4.856806448488619,
        4.856828381362118,
        4.85684983743402,
        4.856871293505922,
        4.856892749577823,
        4.856914682451323,
        4.856936138523224,
        4.8569575945951255,
        4.856979527468625,
        4.8570009835405275,
        4.857022439612429,
        4.85704389568433,
        4.85706582855783,
        4.857087284629731,
        4.857108740701633,
        4.857130196773535,
        4.857152129647035,
        4.857173585718936,
        4.857195041790837,
        4.857216497862739,
        4.857238430736238,
        4.85725988680814,
        4.857281342880042,
        4.8573027989519435,
        4.857324731825443,
        4.8573461878973445,
        4.857367643969246,
        4.857389100041148,
        4.85741055611305,
        4.857432488986549,
        4.857453945058451,
        4.857475401130352,
        4.857496857202253,
        4.857518313274156,
        4.857539769346057,
        4.857561702219557,
        4.857583158291458,
        4.8576046143633596,
        4.857626070435262,
        4.857647526507163,
        4.857668982579065,
        4.857690915452564,
        4.857712371524466,
        4.857733827596368,
        4.857755283668269,
        4.857776739740171,
        4.857798195812072,
        4.8578196518839745,
        4.857841584757473,
        4.8578630408293755,
        4.857884496901277,
        4.857905952973178,
        4.85792740904508,
        4.857948865116982,
        4.857970321188883,
        4.85837894015821,
        4.858400396230111,
        4.858421852302014,
        4.858443308373915,
        4.8584647644458165,
        4.858486220517718,
        4.85850767658962,
        4.858529132661522,
        4.858550588733423,
        4.8585720448053245,
        4.858593500877227,
        4.858614956949128,
        4.8586364130210296,
        4.858657869092932,
        4.858679325164833,
        4.858700781236735,
        4.858722237308636,
        4.858743693380538,
        4.85876514945244,
        4.858786605524341,
        4.858808061596243,
        4.858829517668145,
        4.858850973740046,
        4.85887195301035,
        4.858893409082252,
        4.858914865154153,
        4.858936321226055,
        4.858957777297957,
        4.858979233369858,
        4.85900068944176,
        4.859022145513661,
        4.859043601585563,
        4.859065057657465,
        4.859086513729366,
        4.8591079698012685,
        4.85912942587317,
        4.859150881945071,
        4.859171861215375,
        4.859193317287277,
        4.859214773359178,
        4.8592362294310805,
        4.859257685502982,
        4.859279141574883,
        4.859300597646785,
        4.859322053718687,
        4.859343509790588,
        4.8593644890608925,
        4.859385945132794,
        4.859407401204695,
        4.859428857276597,
        4.859450313348499,
        4.8594717694204,
        4.859493225492302,
        4.859514204762606,
        4.859535660834507,
        4.859557116906409,
        4.859578572978311,
        4.859600029050212,
        4.859621485122114,
        4.859642464392418,
        4.859663920464319,
        4.859685376536221,
        4.859706832608123,
        4.859728288680024,
        4.8597492679503285,
        4.85977072402223,
        4.859792180094131,
        4.859813636166033,
        4.859835092237935,
        4.859856071508238,
        4.8598775275801405,
        4.859898983652042,
        4.859920439723943,
        4.859941418994247,
        4.859962875066149,
        4.85998433113805,
        4.8600057872099525,
        4.860027243281854,
        4.860048222552158,
        4.860069678624059,
        4.860091134695961,
        4.860112590767862,
        4.860133570038166,
        4.860155026110068,
        4.86017648218197,
        4.860197461452273,
        4.8602189175241755,
        4.860240373596077,
        4.860261829667978,
        4.860282808938282,
        4.860304265010184,
        4.860325721082085,
        4.860346700352389,
        4.860368156424291,
        4.860389612496193,
        4.860410591766496,
        4.860432047838398,
        4.8604535039103,
        4.860474959982201,
        4.860495939252505,
        4.860517395324407,
        4.860538851396308,
        4.860559830666612,
        4.860581286738514,
        4.860602742810416,
        4.860623722080719,
        4.860645178152621,
        4.860666157422925,
        4.860687613494827,
        4.860709069566728,
        4.860730048837032,
        4.860751504908934,
        4.860772960980835,
        4.860793940251139,
        4.860815396323041,
        4.860836852394942,
        4.860857831665246,
        4.860879287737148,
        4.860900267007452,
        4.860921723079353,
        4.8609431791512545,
        4.860964158421559,
        4.86098561449346,
        4.861006593763764,
        4.8610280498356655,
        4.86104902910597,
        4.861070485177871,
        4.861091941249773,
        4.8611129205200765,
        4.861134376591979,
        4.861155355862282,
        4.861176811934184,
        4.8611977912044875,
        4.86121924727639,
        4.861240703348291,
        4.861261682618595,
        4.861283138690497,
        4.8613041179608,
        4.861325574032702,
        4.861346553303005,
        4.861368009374908,
        4.861388988645211,
        4.861410444717113,
        4.861431423987416,
        4.861452880059319,
        4.861473859329622,
        4.861495315401524,
        4.861516294671827,
        4.86153775074373,
        4.861558730014033,
        4.861580186085935,
        4.86198260663449,
        4.862004062706392,
        4.862025041976695,
        4.862046498048597,
        4.8620674773189005,
        4.862088933390803,
        4.862109912661106,
        4.86213089193141,
        4.8621523480033115,
        4.862173327273616,
        4.86219430654392,
        4.862215762615821,
        4.862236741886125,
        4.862258197958027,
        4.862279177228331,
        4.862300156498634,
        4.862321612570536,
        4.862342591840839,
        4.8623635711111435,
        4.862385027183045,
        4.862406006453349,
        4.862426985723653,
        4.8624484417955545,
        4.8624694210658586,
        4.862490400336162,
        4.862511856408064,
        4.862532835678367,
        4.862553814948671,
        4.862575271020573,
        4.862596250290877,
        4.862617229561181,
        4.862638685633082,
        4.862659664903386,
        4.86268064417369,
        4.862702100245592,
        4.862723079515895,
        4.862744058786199,
        4.862765038056503,
        4.862786494128405,
        4.862807473398709,
        4.862828452669012,
        4.862849908740914,
        4.8628708880112175,
        4.862891867281522,
        4.862912846551826,
        4.862934302623727,
        4.862955281894031,
        4.862976261164334,
        4.862997240434638,
        4.86301869650654,
        4.863039675776844,
        4.863060655047148,
        4.863081634317451,
        4.8631030903893535,
        4.863124069659657,
        4.863145048929961,
        4.863166028200265,
        4.863187007470569,
        4.86320846354247,
        4.8632294428127745,
        4.863250422083078,
        4.863271401353382,
        4.863292857425283,
        4.863313836695587,
        4.863334815965891,
        4.8633557952361945,
        4.863376774506499,
        4.863397753776803,
        4.863419209848704,
        4.863440189119008,
        4.863461168389311,
        4.8634821476596155,
        4.86350312692992,
        4.863524106200223,
        4.863545562272125,
        4.863566541542428,
        4.863587520812732,
        4.8636085000830365,
        4.863629479353341,
        4.863650458623644,
        4.863671437893948,
        4.863692893965849,
        4.863713873236153,
        4.863734852506457,
        4.863755831776761,
        4.863776811047065,
        4.863797790317369,
        4.863818769587672,
        4.863839748857976,
        4.86386072812828,
        4.863882184200182,
        4.863903163470486,
        4.86392414274079,
        4.863945122011093,
        4.863966101281397,
        4.863987080551701,
        4.864008059822004,
        4.864029039092308,
        4.8640500183626125,
        4.864070997632916,
        4.86409197690322,
        4.864112956173524,
        4.864133935443828,
        4.864155391515729,
        4.8641763707860335,
        4.864197350056337,
        4.864218329326641,
        4.864239308596945,
        4.864260287867248,
        4.864281267137552,
        4.864302246407856,
        4.8643232256781594,
        4.8643442049484635,
        4.864365184218768,
        4.864386163489072,
        4.864407142759375,
        4.864428122029679,
        4.864449101299983,
        4.864470080570286,
        4.86449105984059,
        4.8645120391108945,
        4.864533018381198,
        4.864553997651502,
        4.864574976921806,
        4.86459595619211,
        4.864616935462413,
        4.864637914732717,
        4.864658894003021,
        4.8646798732733245,
        4.864700852543629,
        4.864721831813933,
        4.864742334282639,
        4.864763313552943,
        4.864784292823246,
        4.86480527209355,
        4.864826251363854,
        4.864847230634157,
        4.864868209904461,
        4.864889189174765,
        4.8649101684450695,
        4.864931147715373,
        4.864952126985677,
        4.864973106255981,
        4.864994085526284,
        4.865014587994991,
        4.865035567265294,
        4.865056546535598,
        4.865077525805902,
        4.8650985050762054,
        4.8651194843465095,
        4.865140463616814,
        4.865161442887117,
        4.865182422157421,
        4.865202924626127,
        4.865223903896431,
        4.865244883166735,
        4.865265862437038,
        4.865558618618096,
        4.8655795978884,
        4.865600100357106,
        4.86562107962741,
        4.865642058897714,
        4.865663038168018,
        4.865683540636724,
        4.865704519907028,
        4.865725499177332,
        4.865746478447635,
        4.865767457717939,
        4.865787960186645,
        4.865808939456949,
        4.865829918727253,
        4.865850897997556,
        4.865871400466262,
        4.865892379736566,
        4.86591335900687,
        4.8659343382771745,
        4.86595484074588,
        4.865975820016184,
        4.865996799286488,
        4.866017778556792,
        4.866038281025498,
        4.866059260295802,
        4.866080239566105,
        4.866101218836409,
        4.866121721305115,
        4.866142700575419,
        4.866163679845723,
        4.866184182314429,
        4.866205161584732,
        4.866226140855036,
        4.866246643323742,
        4.866267622594046,
        4.86628860186435,
        4.8663095811346535,
        4.86633008360336,
        4.8663510628736635,
        4.866372042143968,
        4.8663925446126735,
        4.8664135238829775,
        4.866434503153281,
        4.8664550056219875,
        4.866475984892291,
        4.866496964162595,
        4.866517466631301,
        4.866538445901605,
        4.866558948370311,
        4.866579927640615,
        4.866600906910918,
        4.866621409379625,
        4.866642388649928,
        4.866663367920232,
        4.866683870388938,
        4.866704849659242,
        4.866725352127948,
        4.866746331398252,
        4.866767310668555,
        4.866787813137261,
        4.866808792407565,
        4.866829294876271,
        4.866850274146575,
        4.866871253416879,
        4.866891755885585,
        4.866912735155889,
        4.866933237624595,
        4.866954216894898,
        4.866974719363605,
        4.866995698633908,
        4.867016677904212,
        4.867037180372918,
        4.867058159643222,
        4.867078662111928,
        4.867099641382232,
        4.867120143850938,
        4.867141123121241,
        4.867161625589948,
        4.867182604860251,
        4.867203584130555,
        4.867224086599261,
        4.867245065869565,
        4.867265568338271,
        4.867286547608575,
        4.867307050077281,
        4.867328029347585,
        4.867348531816291,
        4.867369511086594,
        4.867390013555301,
        4.867410992825604,
        4.86743149529431,
        4.867452474564614,
        4.86747297703332,
        4.867493956303624,
        4.86751445877233,
        4.867535438042634,
        4.86755594051134,
        4.867576442980046,
        4.86759742225035,
        4.867617924719056,
        4.86763890398936,
        4.867659406458066,
        4.867680385728369,
        4.867700888197076,
        4.867721867467379,
        4.867742369936085,
        4.867762872404792,
        4.867783851675095,
        4.867804354143801,
        4.867825333414105,
        4.867845835882811,
        4.867866815153115,
        4.867887317621821,
        4.867907820090527,
        4.867928799360831,
        4.867949301829537,
        4.867970281099841,
        4.867990783568547,
        4.868011286037253,
        4.868032265307557,
        4.868052767776263,
        4.868073747046567,
        4.868094249515273,
        4.8681147519839785,
        4.868135731254283,
        4.8681562337229884,
        4.868176736191694,
        4.868197715461998,
        4.868218217930704,
        4.8682391972010075,
        4.868259699669714,
        4.86828020213842,
        4.868301181408723,
        4.86832168387743,
        4.868342186346136,
        4.868363165616439,
        4.868383668085146,
        4.868404170553852,
        4.868425149824155,
        4.868445652292862,
        4.868466154761568,
        4.868486657230274,
        4.868507636500578,
        4.868528138969284,
        4.8685486414379895,
        4.868569620708294,
        4.8685901231769995,
        4.868610625645705,
        4.868631604916009,
        4.868652107384715,
        4.868672609853421,
        4.868693112322127,
        4.868714091592431,
        4.868734594061137,
        4.868755096529843,
        4.868775598998549,
        4.868796578268853,
        4.868817080737559,
        4.868837583206265,
        4.868858085674971,
        4.868879064945275,
        4.8688995674139806,
        4.868920069882686,
        4.869208534849364,
        4.86922903731807,
        4.869250016588374,
        4.86927051905708,
        4.869291021525786,
        4.869311523994492,
        4.869332026463198,
        4.869352528931904,
        4.869373508202208,
        4.869394010670914,
        4.86941451313962,
        4.869435015608326,
        4.869455518077032,
        4.869476020545738,
        4.869496523014444,
        4.869517502284748,
        4.869538004753454,
        4.86955850722216,
        4.869579009690866,
        4.869599512159572,
        4.8696200146282775,
        4.869640517096984,
        4.86966101956569,
        4.869681998835993,
        4.869702501304699,
        4.869723003773406,
        4.869743506242112,
        4.869764008710818,
        4.869784511179524,
        4.86980501364823,
        4.8698255161169355,
        4.869846018585641,
        4.869866521054348,
        4.869887023523054,
        4.86990752599176,
        4.869928505262064,
        4.86994900773077,
        4.869969510199476,
        4.869990012668182,
        4.8700105151368875,
        4.870031017605593,
        4.870051520074299,
        4.870072022543006,
        4.870092525011712,
        4.870113027480418,
        4.870133529949124,
        4.87015403241783,
        4.8701745348865355,
        4.870195037355241,
        4.870215539823948,
        4.870236042292654,
        4.87025654476136,
        4.870277047230066,
        4.870297549698772,
        4.870318052167478,
        4.8703385546361835,
        4.87035905710489,
        4.870379559573596,
        4.870400062042302,
        4.870420564511008,
        4.870441066979714,
        4.87046156944842,
        4.870482071917126,
        4.870502574385832,
        4.870523076854538,
        4.870543579323244,
        4.87056408179195,
        4.870584584260656,
        4.870605086729362,
        4.870625589198068,
        4.870646091666774,
        4.87066659413548,
        4.870687096604186,
        4.870707122271294,
        4.870727624740001,
        4.8707481272087065,
        4.870768629677412,
        4.870789132146118,
        4.870809634614824,
        4.87083013708353,
        4.870850639552236,
        4.870871142020943,
        4.870891644489649,
        4.8709121469583545,
        4.870932172625462,
        4.870952675094169,
        4.870973177562875,
        4.870993680031581,
        4.871014182500287,
        4.8710346849689925,
        4.871055187437698,
        4.871075689906404,
        4.871096192375111,
        4.871116218042219,
        4.871136720510925,
        4.8711572229796305,
        4.871177725448337,
        4.871198227917043,
        4.871218730385749,
        4.871238756052857,
        4.8712592585215635,
        4.871279760990269,
        4.871300263458975,
        4.871320765927681,
        4.871341268396387,
        4.871361294063496,
        4.8713817965322015,
        4.871402299000907,
        4.871422801469613,
        4.871443303938319,
        4.871463806407025,
        4.871483832074134,
        4.8715043345428395,
        4.871524837011545,
        4.871545339480251,
        4.87156536514736,
        4.871585867616066,
        4.871606370084772,
        4.8716268725534775,
        4.871647375022184,
        4.871667400689292,
        4.871687903157998,
        4.871708405626704,
        4.8717289080954105,
        4.871748933762518,
        4.871769436231224,
        4.87178993869993,
        4.871810441168637,
        4.871830466835744,
        4.87185096930445,
        4.871871471773156,
        4.871891974241863,
        4.871911999908971,
        4.8719325023776765,
        4.871953004846382,
        4.871973030513491,
        4.871993532982197,
        4.872014035450903,
        4.872034537919609,
        4.872054563586717,
        4.872075066055423,
        4.872095568524129,
        4.8721155941912375,
        4.872136096659943,
        4.872156599128649,
        4.872176624795758,
        4.872197127264464,
        4.87221762973317,
        4.8722381322018755,
        4.872258157868984,
        4.87227866033769,
        4.872299162806396,
        4.872319188473504,
        4.87233969094221,
        4.872359716609318,
        4.872380219078024,
        4.872400721546731,
        4.872420747213838,
        4.872441249682544,
        4.87246175215125,
        4.872481777818359,
        4.872502280287065,
        4.87252278275577,
        4.872542808422879,
        4.872563310891585,
        4.8725833365586935,
        4.8728474846438825,
        4.872867987112588,
        4.872888012779696,
        4.872908515248403,
        4.8729285409155105,
        4.872949043384216,
        4.872969069051325,
        4.872989571520031,
        4.873010073988737,
        4.873030099655845,
        4.873050602124551,
        4.873070627791659,
        4.873091130260366,
        4.873111155927473,
        4.873131658396179,
        4.873151684063288,
        4.873172186531994,
        4.873192212199102,
        4.873212714667808,
        4.873232740334916,
        4.873253242803622,
        4.87327326847073,
        4.873293770939436,
        4.873313796606545,
        4.873334299075251,
        4.873354324742358,
        4.873374827211065,
        4.873394852878173,
        4.873415355346879,
        4.873435381013987,
        4.873455883482693,
        4.873475909149802,
        4.873495934816909,
        4.873516437285615,
        4.873536462952724,
        4.87355696542143,
        4.873576991088538,
        4.873597493557244,
        4.873617519224352,
        4.873638021693059,
        4.873658047360166,
        4.873678073027275,
        4.873698575495981,
        4.873718601163088,
        4.873739103631795,
        4.873759129298903,
        4.873779631767609,
        4.873799657434717,
        4.873819683101825,
        4.873840185570532,
        4.8738602112376395,
        4.873880713706345,
        4.873900739373454,
        4.873920765040562,
        4.873941267509268,
        4.873961293176376,
        4.873981318843485,
        4.8740018213121905,
        4.874021846979298,
        4.874042349448005,
        4.874062375115113,
        4.874082400782221,
        4.874102903250927,
        4.874122928918035,
        4.874142954585143,
        4.874163457053849,
        4.874183482720958,
        4.8742035083880655,
        4.874224010856772,
        4.87424403652388,
        4.8742640621909885,
        4.874284564659694,
        4.874304590326802,
        4.874324615993911,
        4.8743451184626165,
        4.874365144129725,
        4.874385169796833,
        4.874405672265539,
        4.874425697932647,
        4.874445723599756,
        4.8744657492668635,
        4.874486251735569,
        4.874506277402678,
        4.874526303069786,
        4.874546805538492,
        4.8745668312056,
        4.874586856872709,
        4.874606882539816,
        4.874627385008522,
        4.874647410675631,
        4.874667436342739,
        4.874687462009847,
        4.874707964478553,
        4.8747279901456615,
        4.87474801581277,
        4.874768041479878,
        4.874788543948584,
        4.874808569615692,
        4.8748285952828,
        4.8748486209499085,
        4.874869123418614,
        4.874889149085723,
        4.874909174752831,
        4.874929200419939,
        4.874949226087047,
        4.874969728555754,
        4.874989754222861,
        4.87500977988997,
        4.8750298055570775,
        4.875049831224186,
        4.875070333692892,
        4.875090359360001,
        4.875110385027108,
        4.875130410694217,
        4.8751504363613245,
        4.875170938830031,
        4.875190964497139,
        4.8752109901642475,
        4.875231015831355,
        4.875251041498464,
        4.8752710671655715,
        4.875291569634278,
        4.875311595301386,
        4.8753316209684945,
        4.875351646635602,
        4.875371672302711,
        4.875391697969818,
        4.875411723636927,
        4.875432226105633,
        4.875452251772741,
        4.875472277439849,
        4.875492303106958,
        4.875512328774065,
        4.875532354441174,
        4.8755523801082825,
        4.87557240577539,
        4.875592431442499,
        4.875612933911205,
        4.875632959578313,
        4.875652985245421,
        4.8756730109125295,
        4.875693036579637,
        4.875713062246746,
        4.875733087913853,
        4.875753113580962,
        4.8757731392480705,
        4.875793164915178,
        4.875813190582287,
        4.8758332162493945,
        4.875853241916503,
        4.875873744385209,
        4.8758937700523175,
        4.875913795719425,
        4.875933821386534,
        4.875953847053641,
        4.87597387272075,
        4.875993898387859,
        4.876013924054966,
        4.876033949722075,
        4.8760539753891825,
        4.876074001056291,
        4.876094026723399,
        4.876114052390507,
        4.876134078057616,
        4.876154103724724,
        4.876174129391832,
        4.87619415505894,
        4.876214180726048,
        4.876234206393157,
        4.876454488731347,
        4.8764745143984545,
        4.876494540065563,
        4.876514088931073,
        4.876534114598182,
        4.87655414026529,
        4.876574165932398,
        4.876594191599506,
        4.8766142172666145,
        4.876634242933723,
        4.876654268600831,
        4.876674294267939,
        4.876694319935047,
        4.8767143456021556,
        4.876734371269263,
        4.876754396936372,
        4.876773945801882,
        4.876793971468991,
        4.876813997136098,
        4.876834022803207,
        4.876854048470315,
        4.876874074137423,
        4.876894099804532,
        4.8769141254716395,
        4.876934151138748,
        4.876953700004258,
        4.876973725671366,
        4.876993751338475,
        4.877013777005582,
        4.877033802672691,
        4.8770538283397995,
        4.877073854006907,
        4.8770934028724175,
        4.877113428539526,
        4.877133454206634,
        4.877153479873742,
        4.877173505540851,
        4.877193531207959,
        4.877213080073469,
        4.877233105740578,
        4.877253131407685,
        4.877273157074794,
        4.8772931827419015,
        4.87731320840901,
        4.87733275727452,
        4.877352782941629,
        4.877372808608737,
        4.877392834275845,
        4.877412859942953,
        4.877432408808463,
        4.877452434475572,
        4.87747246014268,
        4.877492485809788,
        4.8775120346752985,
        4.877532060342407,
        4.877552086009515,
        4.877572111676623,
        4.877592137343731,
        4.877611686209241,
        4.87763171187635,
        4.8776517375434585,
        4.877671763210566,
        4.8776913120760765,
        4.877711337743185,
        4.877731363410293,
        4.877751389077401,
        4.877770937942912,
        4.87779096361002,
        4.877810989277128,
        4.877830538142638,
        4.877850563809747,
        4.877870589476855,
        4.877890615143963,
        4.8779101640094735,
        4.877930189676582,
        4.87795021534369,
        4.8779697642092,
        4.877989789876309,
        4.878009815543416,
        4.878029364408927,
        4.878049390076035,
        4.878069415743143,
        4.878089441410252,
        4.878108990275762,
        4.8781290159428705,
        4.878149041609978,
        4.878168590475489,
        4.878188616142597,
        4.878208641809705,
        4.878228190675215,
        4.878248216342324,
        4.878267765207834,
        4.878287790874943,
        4.87830781654205,
        4.878327365407561,
        4.878347391074669,
        4.878367416741777,
        4.878386965607287,
        4.878406991274396,
        4.8784270169415045,
        4.878446565807015,
        4.8784665914741225,
        4.878486140339633,
        4.8785061660067415,
        4.878526191673849,
        4.8785457405393595,
        4.878565766206468,
        4.8785853150719785,
        4.878605340739086,
        4.878625366406195,
        4.878644915271705,
        4.878664940938814,
        4.878684489804324,
        4.878704515471432,
        4.878724064336942,
        4.878744090004051,
        4.878764115671158,
        4.878783664536669,
        4.878803690203777,
        4.878823239069288,
        4.878843264736396,
        4.8788628136019065,
        4.878882839269014,
        4.878902388134525,
        4.878922413801633,
        4.878942439468741,
        4.878961988334251,
        4.87898201400136,
        4.87900156286687,
        4.879021588533979,
        4.879041137399489,
        4.879061163066597,
        4.879080711932107,
        4.879100737599216,
        4.879120286464726,
        4.879140312131834,
        4.879159860997344,
        4.879179886664453,
        4.879199435529963,
        4.879219461197072,
        4.879239010062582,
        4.87925903572969,
        4.8792785845952,
        4.879298610262309,
        4.879318159127819,
        4.879338184794927,
        4.879357733660437,
        4.879377282525947,
        4.879397308193056,
        4.879416857058566,
        4.879436882725675,
        4.879456431591185,
        4.879476457258293,
        4.879496006123803,
        4.879516031790912,
        4.879535580656422,
        4.879555129521933,
        4.87957515518904,
        4.879594704054551,
        4.879614729721659,
        4.87963427858717,
        4.879654304254278,
        4.8796738531197885,
        4.879693401985299,
        4.879713427652407,
        4.879732976517917,
        4.8797530021850255,
        4.879772551050536,
        4.879792099916046,
        4.879812125583154,
        4.879831674448664,
        4.879851700115773,
        4.879871248981283,
        4.880088193708289,
        4.8801077425737995,
        4.880127768240907,
        4.880147317106418,
        4.880166865971928,
        4.880186414837438,
        4.880206440504547,
        4.880225989370057,
        4.880245538235568,
        4.880265563902675,
        4.880285112768186,
        4.880304661633696,
        4.880324687300805,
        4.880344236166315,
        4.880363785031825,
        4.880383810698934,
        4.880403359564444,
        4.880422908429955,
        4.880442457295465,
        4.880462482962573,
        4.880482031828083,
        4.880501580693593,
        4.880521129559104,
        4.880541155226212,
        4.880560704091723,
        4.880580252957233,
        4.880600278624342,
        4.880619827489852,
        4.880639376355362,
        4.880658925220873,
        4.88067895088798,
        4.880698499753491,
        4.880718048619001,
        4.8807375974845115,
        4.880757146350022,
        4.8807771720171305,
        4.880796720882641,
        4.880816269748151,
        4.880835818613662,
        4.880855844280769,
        4.88087539314628,
        4.88089494201179,
        4.8809144908773,
        4.880934039742812,
        4.880954065409919,
        4.88097361427543,
        4.88099316314094,
        4.88101271200645,
        4.881032260871961,
        4.881051809737471,
        4.88107183540458,
        4.88109138427009,
        4.8811109331356,
        4.881130482001111,
        4.881150030866621,
        4.8811695797321315,
        4.881189605399239,
        4.8812091542647496,
        4.88122870313026,
        4.88124825199577,
        4.8812678008612815,
        4.881287349726792,
        4.881306898592302,
        4.88132692425941,
        4.88134647312492,
        4.881366021990431,
        4.881385570855941,
        4.881405119721451,
        4.881424668586962,
        4.881444217452472,
        4.8814637663179825,
        4.881483791985091,
        4.8815033408506014,
        4.881522889716112,
        4.881542438581622,
        4.8815619874471325,
        4.881581536312643,
        4.881601085178153,
        4.881620634043664,
        4.881640182909174,
        4.881659731774684,
        4.881679280640195,
        4.881698829505705,
        4.881718855172814,
        4.881738404038324,
        4.881757952903834,
        4.881777501769345,
        4.881797050634855,
        4.8818165995003655,
        4.881836148365876,
        4.881855697231386,
        4.881875246096897,
        4.881894794962407,
        4.881914343827917,
        4.881933892693428,
        4.881953441558938,
        4.881972990424448,
        4.881992539289959,
        4.882012088155469,
        4.8820316370209795,
        4.88205118588649,
        4.882070734752,
        4.882090283617511,
        4.882109832483021,
        4.882129381348531,
        4.882148930214042,
        4.882168479079552,
        4.8821880279450625,
        4.882207576810573,
        4.882227125676083,
        4.882246674541594,
        4.882266223407104,
        4.882285772272614,
        4.882305321138125,
        4.882324870003635,
        4.882344418869145,
        4.882363967734656,
        4.882383516600166,
        4.8824030654656765,
        4.882422614331187,
        4.882442163196697,
        4.882461712062208,
        4.882480784126121,
        4.882500332991631,
        4.882519881857141,
        4.882539430722652,
        4.882558979588162,
        4.8825785284536725,
        4.882598077319183,
        4.882617626184693,
        4.882637175050204,
        4.882656723915714,
        4.882676272781224,
        4.882695821646735,
        4.882714893710647,
        4.882734442576157,
        4.8827539914416676,
        4.882773540307178,
        4.882793089172689,
        4.8828126380381995,
        4.88283218690371,
        4.88285173576922,
        4.882871284634731,
        4.882890356698643,
        4.882909905564153,
        4.8829294544296635,
        4.882949003295174,
        4.882968552160684,
        4.882988101026195,
        4.883007649891705,
        4.883026721955618,
        4.883046270821128,
        4.883065819686639,
        4.883085368552149,
        4.8831049174176595,
        4.88312446628317,
        4.883143538347082,
        4.883163087212592,
        4.883182636078103,
        4.883202184943613,
        4.8832217338091235,
        4.8832408058730365,
        4.883260354738547,
        4.883279903604057,
        4.883299452469568,
        4.883319001335078,
        4.88333807339899,
        4.8833576222645005,
        4.883377171130011,
        4.883396719995521,
        4.883416268861032,
        4.883435340924945,
        4.883454889790455,
        4.883474438655965,
        4.883493987521476,
        4.883513059585388,
        4.883707594637296,
        4.8837271435028065,
        4.8837462155667195,
        4.88376576443223,
        4.88378531329774,
        4.883804385361652,
        4.883823934227163,
        4.883843483092673,
        4.8838630319581835,
        4.8838821040220965,
        4.883901652887607,
        4.883921201753117,
        4.883940273817029,
        4.88395982268254,
        4.88397937154805,
        4.883998443611963,
        4.884017992477474,
        4.884037541342984,
        4.884056613406896,
        4.8840761622724065,
        4.884095711137917,
        4.88411478320183,
        4.88413433206734,
        4.884153880932851,
        4.884172952996763,
        4.884192501862273,
        4.8842120507277835,
        4.884231122791697,
        4.884250671657207,
        4.884270220522717,
        4.8842892925866295,
        4.88430884145214,
        4.884327913516053,
        4.884347462381563,
        4.884367011247074,
        4.884386083310986,
        4.884405632176496,
        4.8844251810420065,
        4.88444425310592,
        4.88446380197143,
        4.884482874035342,
        4.8845024229008525,
        4.884521971766363,
        4.884541043830276,
        4.884560592695786,
        4.884579664759698,
        4.884599213625209,
        4.884618285689122,
        4.884637834554632,
        4.8846573834201426,
        4.884676455484055,
        4.884696004349565,
        4.884715076413478,
        4.8847346252789885,
        4.884753697342901,
        4.884773246208411,
        4.884792318272324,
        4.884811867137834,
        4.884831416003345,
        4.884850488067257,
        4.884870036932767,
        4.88488910899668,
        4.884908657862191,
        4.884927729926103,
        4.884947278791613,
        4.884966350855526,
        4.884985899721037,
        4.885004971784949,
        4.885024520650459,
        4.885043592714371,
        4.885063141579882,
        4.885082213643795,
        4.885101762509305,
        4.885120834573217,
        4.885140383438728,
        4.885159455502641,
        4.885179004368151,
        4.885198076432063,
        4.885217625297574,
        4.885236697361487,
        4.885256246226997,
        4.885275318290909,
        4.88529486715642,
        4.885313939220333,
        4.885333011284245,
        4.885352560149755,
        4.885371632213668,
        4.885391181079179,
        4.885410253143091,
        4.885429802008601,
        4.885448874072514,
        4.8854684229380245,
        4.885487495001937,
        4.88550656706585,
        4.88552611593136,
        4.885545187995272,
        4.885564736860783,
        4.885583808924696,
        4.885602880988608,
        4.885622429854118,
        4.88564150191803,
        4.885661050783542,
        4.885680122847454,
        4.885699194911366,
        4.885718743776876,
        4.885737815840789,
        4.8857573647063,
        4.885776436770212,
        4.885795508834125,
        4.885815057699635,
        4.8858341297635475,
        4.8858532018274605,
        4.886122594730225,
        4.886142143595736,
        4.886161215659648,
        4.886180287723561,
        4.886199836589071,
        4.8862189086529835,
        4.8862379807168965,
        4.886257052780809,
        4.886276601646319,
        4.886295673710232,
        4.886314745774144,
        4.886334294639655,
        4.886353366703568,
        4.88637243876748,
        4.886391510831393,
        4.886411059696903,
        4.886430131760815,
        4.8864492038247285,
        4.886468752690239,
        4.886487824754151,
        4.886506896818063,
        4.886525968881976,
        4.886545517747487,
        4.886564589811399,
        4.886583661875312,
        4.886602733939224,
        4.886622282804734,
        4.886641354868647,
        4.8866604269325595,
        4.886679498996473,
        4.886698571060385,
        4.886718119925895,
        4.886737191989808,
        4.88675626405372,
        4.886775336117633,
        4.886794884983144,
        4.886813957047056,
        4.886833029110969,
        4.886852101174881,
        4.886871173238793,
        4.886890722104304,
        4.886909794168217,
        4.886928866232129,
        4.886947938296042,
        4.886967010359954,
        4.886986082423867,
        4.8870056312893775,
        4.88702470335329,
        4.887043775417203,
        4.887062847481115,
        4.887081919545028,
        4.88710099160894,
        4.88712054047445,
        4.887139612538363,
        4.887158684602276,
        4.887177756666188,
        4.887196828730101,
        4.887311737915174,
        4.887330809979087,
        4.887349882042999,
        4.887368954106912,
        4.887388026170824,
        4.887407575036335,
        4.887426647100247,
        4.88744571916416,
        4.887464791228072,
        4.887483863291985,
        4.887502935355897,
        4.88752200741981,
        4.887541079483722,
        4.8875601515476355,
        4.887579223611548,
        4.887598295675461,
        4.887617367739373,
        4.887636916604883,
        4.887655988668796,
        4.887675060732708,
        4.887694132796621,
        4.887713204860534,
        4.887732276924446,
        4.887751348988359,
        4.887770421052271,
        4.887789493116184,
        4.887808565180096,
        4.887827637244009,
        4.887846709307921,
        4.8878657813718345,
        4.887884853435747,
        4.887903925499659,
        4.887922997563572,
        4.887942069627484,
        4.887961141691397,
        4.887980213755309,
        4.887999285819222,
        4.888018357883134,
        4.8880374299470475,
        4.88805650201096,
        4.888075574074873,
        4.888094646138785,
        4.888113718202697,
        4.88813279026661,
        4.888151862330522,
        4.888170934394435,
        4.8881900064583474,
        4.8882090785222605,
        4.888228150586173,
        4.888247222650086,
        4.888266294713998,
        4.888285366777911,
        4.888304438841823,
        4.888323510905736,
        4.888342582969648,
        4.8883616550335605,
        4.8883807270974735,
        4.888399799161386,
        4.888418871225299,
        4.888437466487614,
        4.888456538551526,
        4.888475610615439,
        4.888494682679351,
        4.888513754743264,
        4.888532826807176,
        4.888551898871088,
        4.888570970935001,
        4.8885900429989135,
        4.888609115062827,
        4.888628187126739,
        4.888647259190652,
        4.888665854452967,
        4.888684926516879,
        4.888703998580792,
        4.888723070644704,
        4.888742142708616,
        4.888761214772529,
        4.888780286836441,
        4.888799358900354,
        4.888817954162669,
        4.8888370262265815,
        4.8888560982904945,
        4.888875170354407,
        4.88889424241832,
        4.888913314482232,
        4.888932386546144,
        4.888950981808459,
        4.888970053872372,
        4.888989125936284,
        4.889008198000197,
        4.889027270064109,
        4.889046342128022,
        4.889064937390337,
        4.889084009454249,
        4.8891030815181615,
        4.889122153582075,
        4.889141225645987,
        4.8891602977099,
        4.889178892972215,
        4.889197965036127,
        4.88921703710004,
        4.889236109163952,
        4.889255181227865,
        4.889273776490179,
        4.889292848554092,
        4.889311920618004,
        4.889330992681917,
        4.8893500647458294,
        4.889368660008144,
        4.889387732072057,
        4.8894068041359695,
        4.889425876199883,
        4.8894444714621965,
        4.88946354352611,
        4.889482615590022,
        4.889501687653935,
        4.88952028291625,
        4.889539354980162,
        4.889558427044075,
        4.889577499107987,
        4.889596094370302,
        4.889615166434214,
        4.889634238498127,
        4.889653310562039,
        4.889671905824354,
        4.889690977888267,
        4.889710049952179,
        4.889728645214494,
        4.889747717278407,
        4.889766789342319,
        4.8897858614062315,
        4.889804456668546,
        4.889823528732459,
        4.889842600796372,
        4.889861196058686,
        4.8898802681225995,
        4.889899340186512,
        4.8899179354488265,
        4.889937007512739,
        4.889956079576652,
        4.8899746748389665,
        4.889993746902879,
        4.890012818966792,
        4.890031414229107,
        4.890050486293019,
        4.890069558356931,
        4.890088153619246,
        4.890107225683159,
        4.890126297747071,
        4.890144893009386,
        4.890163965073299,
        4.890183037137211,
        4.890201632399526,
        4.890220704463438,
        4.890239776527351,
        4.890258371789666,
        4.890277443853578,
        4.890296039115893,
        4.890315111179806,
        4.890334183243718,
        4.890352778506033,
        4.890371850569945,
        4.890390922633858,
        4.890409517896173,
        4.890428589960085,
        4.8904471852224,
        4.890466257286313,
        4.890485329350225,
        4.89050392461254,
        4.890522996676452,
        4.890541591938767,
        4.89056066400268,
        4.890579259264995,
        4.890598331328907,
        4.89061740339282,
        4.890635998655134,
        4.890655070719047,
        4.890673665981362,
        4.890692738045274,
        4.890711333307589,
        4.890730405371502,
        4.890749000633817,
        4.890768072697729,
        4.890787144761641,
        4.890805740023956,
        4.890975481392778,
        4.890994076655093,
        4.891013148719006,
        4.89103174398132,
        4.891050816045233,
        4.891069411307548,
        4.89108848337146,
        4.891107078633775,
        4.891126150697688,
        4.891144745960003,
        4.891163818023915,
        4.89118241328623,
        4.891201485350142,
        4.891220080612457,
        4.89123915267637,
        4.891257747938685,
        4.891276343200999,
        4.891295415264912,
        4.891314010527227,
        4.891333082591139,
        4.891351677853454,
        4.891370749917367,
        4.8913893451796815,
        4.891408417243594,
        4.8914270125059085,
        4.891445607768223,
        4.8914646798321355,
        4.89148327509445,
        4.891502347158363,
        4.891520942420677,
        4.89154001448459,
        4.891558609746905,
        4.89157720500922,
        4.891596277073132,
        4.891614872335447,
        4.89163394439936,
        4.891652539661674,
        4.891671134923989,
        4.891708802250217,
        4.89251507375212,
        4.892533669014435,
        4.89255226427675,
        4.892570859539065,
        4.892589931602977,
        4.892608526865292,
        4.892627122127607,
        4.892645717389922,
        4.892664789453834,
        4.892683384716149,
        4.8927019799784635,
        4.892720575240778,
        4.892739170503093,
        4.892758242567005,
        4.89277683782932,
        4.892795433091635,
        4.89281402835395,
        4.892832623616265,
        4.892851695680177,
        4.892870290942492,
        4.8928888862048066,
        4.892907481467121,
        4.892926076729436,
        4.892945148793348,
        4.892963744055663,
        4.892982339317978,
        4.893000934580293,
        4.893019529842608,
        4.893038125104923,
        4.893057197168835,
        4.89307579243115,
        4.8930943876934645,
        4.893112982955779,
        4.893131578218094,
        4.893150173480409,
        4.893168768742724,
        4.893187840806636,
        4.893206436068951,
        4.893225031331266,
        4.893243626593581,
        4.893262221855895,
        4.89328081711821,
        4.893299412380525,
        4.893318007642839,
        4.893337079706752,
        4.893355674969067,
        4.893374270231382,
        4.893392865493697,
        4.8934114607560115,
        4.8934300560183255,
        4.89344865128064,
        4.893467246542955,
        4.89348584180527,
        4.893504437067585,
        4.893523509131497,
        4.893542104393812,
        4.893560699656127,
        4.893579294918442,
        4.893597890180756,
        4.893616485443071,
        4.893635080705386,
        4.893653675967701,
        4.893672271230016,
        4.893690866492331,
        4.893709461754645,
        4.8937280570169595,
        4.893746652279274,
        4.893765247541589,
        4.893783842803904,
        4.893802438066219,
        4.893821033328534,
        4.8938396285908485,
        4.893858223853163,
        4.893876819115477,
        4.89389589117939,
        4.893914486441705,
        4.89393308170402,
        4.893951676966335,
        4.89397027222865,
        4.893988867490964,
        4.894007462753279,
        4.894026058015593,
        4.894044653277908,
        4.894063248540223,
        4.894081843802538,
        4.894100439064853,
        4.8941185575255695,
        4.894137152787884,
        4.894155748050199,
        4.894174343312514,
        4.894192938574829,
        4.894211533837144,
        4.8942301290994585,
        4.8942487243617725,
        4.894267319624087,
        4.894285914886402,
        4.894304510148717,
        4.894323105411032,
        4.894341700673347,
        4.894360295935662,
        4.894378891197976,
        4.894397486460291,
        4.894416081722605,
        4.89443467698492,
        4.894453272247235,
        4.89447186750955,
        4.894564367019526,
        4.894582962281841,
        4.8946015575441555,
        4.89462015280647,
        4.894638748068785,
        4.8946573433311,
        4.894675938593414,
        4.8946940570541315,
        4.894712652316446,
        4.894731247578761,
        4.894749842841075,
        4.89476843810339,
        4.894787033365705,
        4.89480562862802,
        4.894824223890335,
        4.894842342351051,
        4.894860937613366,
        4.894879532875681,
        4.894898128137996,
        4.894916723400311,
        4.894935318662625,
        4.894953437123342,
        4.894972032385657,
        4.894990627647972,
        4.895009222910287,
        4.8950278181726015,
        4.895046413434916,
        4.895064531895633,
        4.895083127157948,
        4.895101722420263,
        4.8951203176825775,
        4.895138912944892,
        4.895157508207206,
        4.895175626667924,
        4.895194221930239,
        4.8952128171925535,
        4.895231412454868,
        4.895250007717182,
        4.8952681261779,
        4.895286721440215,
        4.8953053167025296,
        4.8953239119648435,
        4.895342030425561,
        4.895360625687876,
        4.895379220950191,
        4.895397816212505,
        4.8954164114748195,
        4.895434529935537,
        4.895453125197852,
        4.895471720460166,
        4.895490315722481,
        4.895508434183198,
        4.895527029445513,
        4.895545624707827,
        4.895564219970142,
        4.895582338430859,
        4.895600933693174,
        4.895619528955489,
        4.895638124217803,
        4.895656242678521,
        4.8956748379408355,
        4.89569343320315,
        4.895711551663867,
        4.895730146926182,
        4.895748742188497,
        4.8957673374508115,
        4.895785455911528,
        4.895804051173843,
        4.895822646436158,
        4.8958407648968745,
        4.895859360159189,
        4.895877955421504,
        4.895896073882221,
        4.895914669144536,
        4.8959332644068505,
        4.895951382867567,
        4.895969978129882,
        4.895988573392197,
        4.8960066918529135,
        4.896025287115228,
        4.896043882377543,
        4.896062000838261,
        4.896080596100575,
        4.8960991913628895,
        4.896117309823607,
        4.896135905085922,
        4.896154500348236,
        4.896172618808953,
        4.896191214071268,
        4.896209809333583,
        4.8962279277943,
        4.896246523056615,
        4.896264641517331,
        4.896283236779646,
        4.896301832041961,
        4.8963199505026775,
        4.896338545764992,
        4.896357141027307,
        4.896375259488024,
        4.896393854750339,
        4.896411973211056,
        4.896430568473371,
        4.896449163735685,
        4.896467282196403,
        4.896485877458717,
        4.896503995919434,
        4.896522591181749,
        4.896540709642466,
        4.89655930490478,
        4.896577900167095,
        4.899227963447747,
        4.902209880640477,
        4.902231813513976,
        4.902253746387475,
        4.902275679260975,
        4.902297135332876,
        4.902319068206376,
        4.902341001079876,
        4.902362933953375,
        4.902384866826875,
        4.9024067997003735,
        4.902428255772276,
        4.902450188645775,
        4.902472121519274,
        4.902494054392774,
        4.902515987266273,
        4.902537443338175,
        4.902559376211674,
        4.902581309085174,
        4.902603241958674,
        4.902625174832173,
        4.902646630904075,
        4.902668563777574,
        4.902690496651073,
        4.9027124295245725,
        4.902733885596475,
        4.9027558184699735,
        4.902777751343473,
        4.902799684216973,
        4.902821140288874,
        4.902843073162374,
        4.902865006035873,
        4.902886938909373,
        4.902908394981274,
        4.902930327854774,
        4.902952260728274,
        4.902974193601773,
        4.902995649673675,
        4.903017582547174,
        4.903039515420673,
        4.903060971492575,
        4.903082904366075,
        4.903104837239574,
        4.903126770113073,
        4.903148226184975,
        4.903170159058474,
        4.903192091931974,
        4.903213548003875,
        4.903235480877375,
        4.903257413750874,
        4.903278869822776,
        4.903300802696275,
        4.903322735569775,
        4.9033441916416765,
        4.903366124515176,
        4.903388057388676,
        4.903409513460577,
        4.903431446334077,
        4.903453379207576,
        4.903474835279478,
        4.903496768152977,
        4.903518701026477,
        4.903540157098378,
        4.903562089971878,
        4.903583546043779,
        4.903605478917279,
        4.9036274117907785,
        4.90364886786268,
        4.90367080073618,
        4.903692256808081,
        4.903714189681581,
        4.90373612255508,
        4.903757578626982,
        4.903779511500481,
        4.903800967572383,
        4.903822900445882,
        4.903844833319382,
        4.903866289391283,
        4.903888222264783,
        4.903909678336684,
        4.903931611210184,
        4.903953067282085,
        4.903975000155585,
        4.9039969330290845,
        4.904018389100986,
        4.9040403219744855,
        4.904061778046387,
        4.9040837109198865,
        4.904105166991788,
        4.9041270998652875,
        4.904148555937189,
        4.9041704888106885,
        4.90419194488259,
        4.9042138777560895,
        4.904235333827992,
        4.9042572667014905,
        4.904278722773393,
        4.9043006556468915,
        4.904322111718794,
        4.9043440445922935,
        4.904365500664195,
        4.9043874335376945,
        4.904408889609596,
        4.9044308224830955,
        4.904452278554997,
        4.9044742114284965,
        4.904495667500398,
        4.9045176003738975,
        4.904539056445799,
        4.9045609893192985,
        4.9045824453912,
        4.9046043782646995,
        4.904625834336601,
        4.904647290408503,
        4.904669223282002,
        4.904690679353904,
        4.904712612227404,
        4.904734068299305,
        4.904756001172805,
        4.904777457244706,
        4.904798913316608,
        4.904820846190107,
        4.904842302262009,
        4.904864235135508,
        4.90488569120741,
        4.904907624080909,
        4.904929080152811,
        4.904950536224713,
        4.904972469098212,
        4.904993925170114,
        4.905015381242015,
        4.905037314115515,
        4.905058770187416,
        4.905080703060916,
        4.905102159132817,
        4.905123615204719,
        4.9051455480782185,
        4.905167004150121,
        4.905188460222022,
        4.905210393095522,
        4.905231849167423,
        4.905253305239325,
        4.905275238112824,
        4.905296694184726,
        4.905318150256628,
        4.905340083130127,
        4.905361539202029,
        4.90538299527393,
        4.90540492814743,
        4.905426384219331,
        4.905447840291233,
        4.905469773164732,
        4.905491229236634,
        4.905512685308536,
        4.905534618182035,
        4.905556074253937,
        4.905577530325838,
        4.90559898639774,
        4.905620919271239,
        4.905642375343141,
        4.905663831415043,
        4.905685764288542,
        4.905707220360444,
        4.905728676432346,
        4.905750132504247,
        4.905772065377747,
        4.905793521449648,
        4.90581497752155,
        4.905836433593452,
        4.905858366466951,
        4.905879822538853,
        4.905901278610754,
        4.9059227346826555,
        4.905944190754558,
        4.905966123628057,
        4.905987579699959,
        4.90600903577186,
        4.906030491843762,
        4.906052424717261,
        4.906073880789163,
        4.906095336861065,
        4.906116792932966,
        4.906138249004868,
        4.906160181878367,
        4.906181637950269,
        4.906203094022171,
        4.906224550094072,
        4.906246006165974,
        4.906267462237875,
        4.906289395111375,
        4.906310851183276,
        4.9063323072551785,
        4.90635376332708,
        4.906375219398981,
        4.906396675470883,
        4.906418608344382,
        4.906440064416285,
        4.906461520488186,
        4.9064829765600875,
        4.906504432631989,
        4.906525888703891,
        4.906547344775793,
        4.906568800847694,
        4.906590733721194,
        4.906612189793095,
        4.906633645864997,
        4.906655101936899,
        4.9066765580088,
        4.9066980140807015,
        4.906719470152604,
        4.906740926224505,
        4.906762382296407,
        4.906783838368308,
        4.906805771241808,
        4.906827227313709,
        4.906848683385611,
        4.906870139457513,
        4.906891595529414,
        4.906913051601316,
        4.906934507673218,
        4.906955963745119,
        4.906977419817021,
        4.906998875888923,
        4.907020331960824,
        4.907041788032726,
        4.907063244104627,
        4.907084700176529,
        4.907106156248431,
        4.907127612320332,
        4.907149068392234,
        4.907170524464136,
        4.907191980536037,
        4.907213436607939,
        4.90723489267984,
        4.907256348751742,
        4.907277804823644,
        4.907299260895545,
        4.9073207169674475,
        4.907342173039349,
        4.90736362911125,
        4.907385085183152,
        4.907406541255054,
        4.9074279973269554,
        4.907728382333579,
        4.90774983840548,
        4.907770817675784,
        4.907792273747686,
        4.907813729819587,
        4.907835185891488,
        4.907856641963391,
        4.907878098035292,
        4.9078995541071935,
        4.907921010179095,
        4.907942466250997,
        4.907963922322899,
        4.907984901593203,
        4.908006357665104,
        4.9080278137370055,
        4.908049269808907,
        4.908070725880809,
        4.908092181952711,
        4.908113638024612,
        4.908135094096513,
        4.9081560733668175,
        4.908177529438719,
        4.908198985510621,
        4.908220441582523,
        4.908241897654424,
        4.908263353726325,
        4.9082843329966295,
        4.908305789068531,
        4.908327245140433,
        4.908348701212335,
        4.908370157284236,
        4.908391613356138,
        4.9084125926264415,
        4.908434048698343,
        4.908455504770245,
        4.908476960842147,
        4.908498416914048,
        4.908519396184352,
        4.9085408522562535,
        4.908562308328155,
        4.908583764400057,
        4.90860474367036,
        4.908626199742263,
        4.908647655814164,
        4.9086691118860655,
        4.908690567957968,
        4.908711547228271,
        4.908733003300172,
        4.908754459372075,
        4.908775915443976,
        4.90879689471428,
        4.908818350786182,
        4.908839806858083,
        4.908861262929985,
        4.9088822422002885,
        4.90890369827219,
        4.908925154344092,
        4.908946133614395,
        4.908967589686298,
        4.908989045758199,
        4.9090105018301005,
        4.9090314811004045,
        4.909052937172306,
        4.909074393244207,
        4.9090953725145114,
        4.909116828586413,
        4.909138284658315,
        4.909159263928618,
        4.909180720000521,
        4.909202176072422,
        4.909223155342726,
        4.9092446114146275,
        4.909266067486529,
        4.909287046756833,
        4.909308502828734,
        4.909329958900636,
        4.90935093817094,
        4.909372394242841,
        4.909393850314744,
        4.909414829585047,
        4.909436285656949,
        4.9094577417288505,
        4.909478720999155,
        4.909500177071056,
        4.909521633142957,
        4.9095426124132615,
        4.909564068485163,
        4.909585047755467,
        4.909606503827368,
        4.90962795989927,
        4.909648939169574,
        4.909670395241475,
        4.909691374511779,
        4.909712830583681,
        4.909734286655582,
        4.909755265925886,
        4.909776721997788,
        4.909797701268092,
        4.909819157339993,
        4.909840136610297,
        4.909861592682199,
        4.909883048754101,
        4.909904028024404,
        4.9099254840963065,
        4.90994646336661,
        4.909967919438512,
        4.909988898708815,
        4.9100103547807175,
        4.910031334051021,
        4.910052790122923,
        4.910073769393226,
        4.9100952254651276,
        4.91011668153703,
        4.910137660807333,
        4.910159116879235,
        4.9101800961495385,
        4.910201552221441,
        4.910222531491744,
        4.910243987563646,
        4.9102649668339495,
        4.910286422905852,
        4.910307402176155,
        4.910328858248057,
        4.9103498375183605,
        4.910371293590263,
        4.910392272860566,
        4.91041325213087,
        4.9104347082027715,
        4.910455687473076,
        4.910477143544977,
        4.910498122815281,
        4.9105195788871825,
        4.910540558157487,
        4.910562014229388,
        4.910582993499692,
        4.9106044495715935,
        4.910625428841898,
        4.910646408112201,
        4.910667864184103,
        4.910688843454406,
        4.9107102995263086,
        4.910731278796612,
        4.910752734868514,
        4.910773714138817,
        4.910794693409121,
        4.910816149481023,
        4.910837128751327,
        4.910858584823228,
        4.910879564093532,
        4.910900543363836,
        4.910921999435738,
        4.910942978706042,
        4.910964434777943,
        4.910985414048247,
        4.911006393318551,
        4.911027849390453,
        4.911048828660756,
        4.91106980793106,
        4.911091264002962,
        4.911112243273266,
        4.91113322254357,
        4.911154678615471,
        4.911175657885775,
        4.9111966371560785,
        4.911218093227981,
        4.911239072498284,
        4.911260051768588,
        4.9112815078404894,
        4.9113024871107935,
        4.911323466381098,
        4.911344922452999,
        4.911365901723303,
        4.911386880993606,
        4.911408337065509,
        4.911429316335812,
        4.911450295606116,
        4.911471751678017,
        4.911492730948321,
        4.9115137102186255,
        4.911534689488929,
        4.911556145560831,
        4.911577124831134,
        4.911598104101438,
        4.91161956017334,
        4.911640539443644,
        4.911661518713948,
        4.911682497984251,
        4.911703954056153,
        4.9117249333264565,
        4.911745912596761,
        4.911766891867065,
        4.911788347938966,
        4.91180932720927,
        4.911830306479574,
        4.9118512857498775,
        4.911872741821779,
        4.911893721092083,
        4.911914700362387,
        4.911935679632691,
        4.911956658902994,
        4.911978114974897,
        4.9119990942452,
        4.912020073515504,
        4.912041052785808,
        4.912062032056111,
        4.9120834881280135,
        4.912104467398317,
        4.912125446668621,
        4.912146425938925,
        4.912167405209228,
        4.912188384479532,
        4.912209840551434,
        4.912230819821738,
        4.912251799092042,
        4.912272778362346,
        4.912293757632649,
        4.912314736902953,
        4.912336192974855,
        4.912357172245159,
        4.912378151515463,
        4.912399130785766,
        4.91242011005607,
        4.912441089326374,
        4.912462068596677,
        4.91248352466858,
        4.912504503938883,
        4.912525483209187,
        4.912546462479491,
        4.912567441749794,
        4.912588421020098,
        4.912609400290402,
        4.9126303795607065,
        4.91265135883101,
        4.912672814902912,
        4.912693794173215,
        4.912714773443519,
        4.912735752713823,
        4.9127567319841265,
        4.912777711254431,
        4.912798690524735,
        4.912819669795038,
        4.912840649065342,
        4.912861628335646,
        4.91288260760595,
        4.912903586876253,
        4.9129245661465575,
        4.912945545416862,
        4.912966524687165,
        4.912987503957469,
        4.91300896002937,
        4.913029939299674,
        4.913050918569978,
        4.913071897840282,
        4.913092877110586,
        4.91311385638089,
        4.913134835651194,
        4.913155814921497,
        4.913176794191801,
        4.913197773462105,
        4.9132187527324085,
        4.913239732002713,
        4.913260711273017,
        4.913281690543321,
        4.913302669813624,
        4.913323649083928,
        4.913344628354232,
        4.913365607624535,
        4.913386586894839,
        4.9134075661651435,
        4.913428068633849,
        4.9134490479041535,
        4.913470027174457,
        4.913491006444761,
        4.913511985715065,
        4.913532964985368,
        4.913553944255672,
        4.913574923525976,
        4.9135959027962794,
        4.9136168820665835,
        4.913637861336888,
        4.913658840607192,
        4.913679819877495,
        4.913700799147799,
        4.913721778418103,
        4.913742757688406,
        4.913763260157113,
        4.913784239427416,
        4.91380521869772,
        4.9138261979680244,
        4.913847177238328,
        4.913868156508632,
        4.913889135778936,
        4.913910115049239,
        4.913931094319543,
        4.913951596788249,
        4.913972576058553,
        4.913993555328857,
        4.91401453459916,
        4.9140355138694645,
        4.9140564931397686,
        4.914077472410073,
        4.9140979748787785,
        4.914118954149082,
        4.914139933419386,
        4.91416091268969,
        4.914181891959993,
        4.914202871230297,
        4.914223850500601,
        4.914244352969307,
        4.914265332239611,
        4.9142863115099145,
        4.9143072907802186,
        4.914328270050523,
        4.9143487725192285,
        4.914369751789533,
        4.914390731059836,
        4.91441171033014,
        4.914432689600444,
        4.91445319206915,
        4.914474171339454,
        4.914495150609757,
        4.914516129880061,
        4.914537109150365,
        4.914557611619071,
        4.914578590889375,
        4.9145995701596785,
        4.914620549429983,
        4.9146410518986885,
        4.914662031168993,
        4.914683010439297,
        4.9147039897096,
        4.914724492178306,
        4.91474547144861,
        4.914766450718914,
        4.914787429989218,
        4.914807932457924,
        4.914828911728227,
        4.914849890998531,
        4.914870393467237,
        4.914891372737541,
        4.914912352007845,
        4.9149333312781485,
        4.914953833746854,
        4.914974813017158,
        4.9149957922874625,
        4.915016294756168,
        4.9150372740264725,
        4.915058253296776,
        4.91507923256708,
        4.915099735035786,
        4.91512071430609,
        4.915141693576394,
        4.9151621960451,
        4.915183175315403,
        4.915204154585707,
        4.915224657054413,
        4.915245636324717,
        4.915266615595021,
        4.915287118063727,
        4.915308097334031,
        4.915328599802737,
        4.91534957907304,
        4.915370558343344,
        4.91539106081205,
        4.915412040082354,
        4.915433019352658,
        4.915453521821364,
        4.915474501091668,
        4.915495003560374,
        4.915515982830677,
        4.9155369621009815,
        4.915557464569687,
        4.915578443839991,
        4.9155994231102955,
        4.915619925579001,
        4.915640904849305,
        4.915661407318011,
        4.915682386588315,
        4.9157028890570205,
        4.9157238683273246,
        4.915744847597629,
        4.9157653500663345,
        4.915786329336639,
        4.9158068318053445,
        4.915827811075649,
        4.9158483135443545,
        4.915869292814658,
        4.915890272084962,
        4.915910774553668,
        4.915931753823972,
        4.915952256292678,
        4.915973235562982,
        4.915993738031688,
        4.916014717301992,
        4.916035219770698,
        4.916056199041001,
        4.9160767015097075,
        4.916097680780011,
        4.916118183248717,
        4.916139162519021,
        4.916159664987727,
        4.916180644258031,
        4.916201146726737,
        4.916222125997041,
        4.9162426284657466,
        4.916263607736051,
        4.9162841102047565,
        4.916305089475061,
        4.9163255919437665,
        4.91634657121407,
        4.9163670736827765,
        4.91638805295308,
        4.916408555421786,
        4.91642953469209,
        4.9164500371607955,
        4.916470539629501,
        4.9164915188998055,
        4.916512021368511,
        4.9165330006388155,
        4.916553503107521,
        4.9165744823778255,
        4.916594984846531,
        4.916615964116835,
        4.916636466585541,
        4.916656969054247,
        4.916677948324551,
        4.916698450793257,
        4.91671943006356,
        4.916739932532267,
        4.916760435000973,
        4.916781414271276,
        4.916801916739983,
        4.916822896010286,
        4.916843398478992,
        4.916863900947699,
        4.916884880218002,
        4.916905382686708,
        4.916926361957012,
        4.916946864425718,
        4.916967366894424,
        4.916988346164728,
        4.917008848633434,
        4.91702935110214,
        4.917050330372444,
        4.91707083284115,
        4.9170913353098555,
        4.91711231458016,
        4.9171328170488655,
        4.917153319517571,
        4.9171742987878755,
        4.917194801256581,
        4.917215303725287,
        4.917236282995591,
        4.917256785464297,
        4.917277287933003,
        4.917298267203307,
        4.917318769672013,
        4.917339272140719,
        4.917360251411023,
        4.917380753879729,
        4.917401256348435,
        4.917421758817141,
        4.917442738087445,
        4.917463240556151,
        4.917483743024857,
        4.917504722295161,
        4.9175252247638666,
        4.917545727232572,
        4.917566229701279,
        4.917587208971582,
        4.917607711440288,
        4.917628213908995,
        4.917648716377701,
        4.917669695648004,
        4.91769019811671,
        4.917710700585417,
        4.917731203054123,
        4.917752182324426,
        4.917772684793133,
        4.917793187261839,
        4.9178136897305444,
        4.91783419219925,
        4.917855171469554,
        4.91787567393826,
        4.917896176406966,
        4.917916678875672,
        4.917937658145976,
        4.917958160614682,
        4.917978663083388,
        4.917999165552094,
        4.9180196680208,
        4.918040647291104,
        4.91806114975981,
        4.918081652228516,
        4.918102154697222,
        4.918122657165928,
        4.918143159634634,
        4.918164138904938,
        4.918184641373644,
        4.91820514384235,
        4.918225646311056,
        4.918246148779762,
        4.918266651248468,
        4.9182871537171735,
        4.918308132987478,
        4.9183286354561835,
        4.918349137924889,
        4.918369640393596,
        4.918390142862302,
        4.918410645331008,
        4.918431147799714,
        4.91845165026842,
        4.918472629538724,
        4.91849313200743,
        4.9185136344761355,
        4.918534136944841,
        4.918554639413547,
        4.918575141882253,
        4.91859564435096,
        4.918616146819666,
        4.918636649288372,
        4.918657151757078,
        4.918678131027382,
        4.918698633496088,
        4.9187191359647935,
        4.918739638433499,
        4.918760140902205,
        4.918780643370911,
        4.918801145839618,
        4.918821648308324,
        4.91884215077703,
        4.918862653245736,
        4.9188831557144415,
        4.918903658183147,
        4.918924160651853,
        4.91894466312056,
        4.918965165589266,
        4.918985668057972,
        4.919006170526678,
        4.9190266729953835,
        4.919047175464089,
        4.919067677932795,
        4.919088180401502,
        4.919108682870208,
        4.919129185338914,
        4.91914968780762,
        4.919170190276326,
        4.9191906927450315,
        4.919211195213737,
        4.919231697682444,
        4.91925220015115,
        4.919272702619856,
        4.919293205088562,
        4.919313707557268,
        4.919334210025974,
        4.9193547124946795,
        4.919375214963386,
        4.919395717432092,
        4.919416219900798,
        4.919436722369504,
        4.91945722483821,
        4.919477727306916,
        4.919498229775622,
        4.919518732244328,
        4.919539234713034,
        4.91955973718174,
        4.919580239650446,
        4.919600265317555,
        4.9196207677862605,
        4.919641270254966,
        4.919661772723672,
        4.919682275192378,
        4.919702777661084,
        4.91972328012979,
        4.919743782598497,
        4.9197642850672025,
        4.919784787535908,
        4.919804813203016,
        4.919825315671723,
        4.919845818140429,
        4.919866320609135,
        4.9198868230778405,
        4.919907325546546,
        4.919927828015252,
        4.919948330483958,
        4.919968356151067,
        4.919988858619773,
        4.9200093610884785,
        4.920029863557184,
        4.920050366025891,
        4.920070868494597,
        4.920091370963303,
        4.920111396630411,
        4.920131899099117,
        4.920152401567823,
        4.920172904036529,
        4.920193406505235,
        4.920213432172344,
        4.9202339346410495,
        4.920254437109755,
        4.920274939578461,
        4.920295442047167,
        4.920315944515873,
        4.920335970182982,
        4.9203564726516875,
        4.920376975120393,
        4.920397477589099,
        4.920417503256208,
        4.920438005724914,
        4.92045850819362,
        4.9204790106623255,
        4.920499513131031,
        4.92051953879814,
        4.920540041266846,
        4.920560543735552,
        4.920581046204258,
        4.920601071871366,
        4.920621574340072,
        4.920642076808778,
        4.920662579277484,
        4.920682604944592,
        4.920703107413298,
        4.920723609882004,
        4.92074411235071,
        4.920764138017819,
        4.9207846404865245,
        4.92080514295523,
        4.920825168622339,
        4.920845671091045,
        4.920866173559751,
        4.920886676028457,
        4.920906701695565,
        4.920927204164271,
        4.920947706632977,
        4.9209677323000856,
        4.920988234768791,
        4.921008737237497,
        4.921028762904606,
        4.921049265373312,
        4.921069767842018,
        4.921089793509125,
        4.921110295977832,
        4.921130798446538,
        4.921150824113646,
        4.921171326582352,
        4.921191829051058,
        4.921211854718166,
        4.921232357186872,
        4.921252859655578,
        4.921272885322686,
        4.921293387791392,
        4.921313890260098,
        4.921333915927207,
        4.921354418395913,
        4.921374444063021,
        4.921394946531727,
        4.921415449000433,
        4.9214354746675415,
        4.921455977136247,
        4.921476002803355,
        4.921496505272061,
        4.921517007740768,
        4.921537033407875,
        4.921557535876581,
        4.92157756154369,
        4.921598064012396,
        4.921618566481102,
        4.92163859214821,
        4.921659094616916,
        4.921679120284024,
        4.9216996227527305,
        4.921719648419838,
        4.921740150888544,
        4.92176065335725,
        4.921780679024359,
        4.9218011814930644,
        4.921821207160173,
        4.921841709628879,
        4.921861735295987,
        4.921882237764693,
        4.921902263431801,
        4.921922765900507,
        4.9219427915676155,
        4.921963294036321,
        4.92198331970343,
        4.922003822172136,
        4.922024324640842,
        4.922044350307949,
        4.922064852776656,
        4.922084878443764,
        4.92210538091247,
        4.922125406579578,
        4.922145909048284,
        4.922165934715393,
        4.9221859603825004,
        4.922206462851206,
        4.922226488518315,
        4.922246990987021,
        4.922267016654129,
        4.922287519122835,
        4.922307544789943,
        4.92232804725865,
        4.922348072925757,
        4.922368575394463,
        4.922388601061572,
        4.922409103530278,
        4.922429129197386,
        4.922449154864494,
        4.9224696573332,
        4.922489683000308,
        4.922510185469014,
        4.922530211136123,
        4.922550713604829,
        4.9225707392719364,
        4.922590764939045,
        4.922611267407751,
        4.9226312930748595,
        4.922651795543565,
        4.922671821210673,
        4.922691846877782,
        4.9227123493464875,
        4.922732375013596,
        4.922752877482302,
        4.92277290314941,
        4.922792928816518,
        4.922813431285224,
        4.922833456952333,
        4.9228539594210385,
        4.922873985088146,
        4.922894010755255,
        4.922914513223961,
        4.922934538891069,
        4.922954564558177,
        4.922975067026883,
        4.922995092693991,
        4.9230151183611,
        4.923035620829806,
        4.9230556464969135,
        4.923075672164022,
        4.923096174632728,
        4.9231162002998365,
        4.923136225966944,
        4.92315672843565,
        4.923176754102759,
        4.923196779769866,
        4.923217282238573,
        4.923237307905681,
        4.923257333572789,
        4.923277836041495,
        4.923297861708603,
        4.9233178873757115,
        4.92333791304282,
        4.923358415511526,
        4.923378441178634,
        4.923398466845742,
        4.923418969314448,
        4.923438994981557,
        4.923459020648664,
        4.923479046315773,
        4.923499548784479,
        4.923519574451587,
        4.923539600118695,
        4.923559625785804,
        4.9235801282545095,
        4.923600153921617,
        4.923620179588726,
        4.923640205255834,
        4.92366070772454,
        4.923680733391648,
        4.9237007590587565,
        4.923720784725864,
        4.923741287194571,
        4.923761312861679,
        4.923781338528787,
        4.923801364195895,
        4.923821389863003,
        4.923841892331709,
        4.923861917998818,
        4.923881943665926,
        4.923901969333034,
        4.923921995000142,
        4.923942497468849,
        4.923962523135956,
        4.923982548803065,
        4.9240025744701725,
        4.924022600137281,
        4.924042625804389,
        4.924063128273096,
        4.924083153940203,
        4.924103179607312,
        4.9241232052744195,
        4.924143230941528,
        4.924163256608636,
        4.9241837590773425,
        4.92420378474445,
        4.924223810411559,
        4.9242438360786664,
        4.924263861745775,
        4.924283887412883,
        4.924303913079991,
        4.9243239387471,
        4.924344441215806,
        4.924364466882913,
        4.924384492550022,
        4.9244045182171305,
        4.924424543884238,
        4.924444569551347,
        4.9244645952184545,
        4.924484620885563,
        4.924504646552671,
        4.924524672219779,
        4.924545174688485,
        4.924565200355594,
        4.924585226022701,
        4.92460525168981,
        4.924625277356918,
        4.924645303024026,
        4.924665328691135,
        4.9246853543582425,
        4.924705380025351,
        4.924725405692459,
        4.924745431359567,
        4.924765457026676,
        4.924785482693784,
        4.924805508360892,
        4.924825534028,
        4.924845559695108,
        4.924865585362216,
        4.924885611029325,
        4.9249061134980305,
        4.924926139165139,
        4.924946164832247,
        4.924966190499355,
        4.924986216166463,
        4.925006241833572,
        4.92502626750068,
        4.925046293167788,
        4.925066318834896,
        4.925086344502004,
        4.925106370169113,
        4.925126395836221,
        4.925146421503329,
        4.9251664471704375,
        4.925185996035948,
        4.9252060217030555,
        4.925226047370164,
        4.925246073037272,
        4.92526609870438,
        4.925286124371489,
        4.925306150038597,
        4.925326175705705,
        4.925346201372813,
        4.925366227039921,
        4.92538625270703,
        4.925406278374138,
        4.925426304041246,
        4.925446329708354,
        4.9254663553754625,
        4.92548638104257,
        4.925506406709679,
        4.925526432376787,
        4.925545981242298,
        4.925566006909405,
        4.925586032576514,
        4.925606058243622,
        4.92562608391073,
        4.925646109577838,
        4.9256661352449465,
        4.925686160912055,
        4.925706186579163,
        4.925726212246271,
        4.925745761111782,
        4.925765786778889,
        4.925785812445998,
        4.9258058381131065,
        4.925825863780214,
        4.925845889447323,
        4.92586591511443,
        4.925885940781539,
        4.925905489647049,
        4.925925515314157,
        4.925945540981266,
        4.925965566648374,
        4.925985592315482,
        4.92600561798259,
        4.926025166848101,
        4.9260451925152084,
        4.926065218182317,
        4.926085243849426,
        4.926105269516533,
        4.926125295183642,
        4.926144844049152,
        4.92616486971626,
        4.9261848953833685,
        4.926204921050476,
        4.926224946717585,
        4.926244495583095,
        4.926264521250204,
        4.926284546917311,
        4.92630457258442,
        4.926324598251528,
        4.926344147117038,
        4.9263641727841465,
        4.926384198451255,
        4.926404224118363,
        4.926423772983873,
        4.926443798650982,
        4.926463824318089,
        4.926483849985198,
        4.926503398850708,
        4.926523424517817,
        4.926543450184925,
        4.926563475852033,
        4.9265830247175435,
        4.926603050384651,
        4.92662307605176,
        4.926643101718867,
        4.926662650584378,
        4.926682676251486,
        4.926702701918595,
        4.926722727585703,
        4.926742276451213,
        4.926762302118322,
        4.926782327785429,
        4.92680187665094,
        4.926821902318048,
        4.926841927985157,
        4.926861476850667,
        4.926881502517775,
        4.926901528184883,
        4.926921553851991,
        4.926941102717501,
        4.92696112838461,
        4.926981154051718,
        4.927000702917229,
        4.927020728584337,
        4.927040754251445,
        4.9270603031169555,
        4.927080328784063,
        4.927100354451172,
        4.927119903316682,
        4.92713992898379,
        4.9271594778493,
        4.927179503516409,
        4.927199529183517,
        4.927219078049028,
        4.927239103716135,
        4.927259129383244,
        4.927278678248754,
        4.927298703915862,
        4.927318252781372,
        4.927338278448481,
        4.9273583041155895,
        4.9273778529811,
        4.9273978786482076,
        4.927417427513718,
        4.9274374531808265,
        4.927457478847934,
        4.9274770277134445,
        4.927497053380553,
        4.9275166022460635,
        4.927536627913172,
        4.92755665358028,
        4.92757620244579,
        4.927596228112899,
        4.927615776978409,
        4.927635802645517,
        4.927655351511027,
        4.927675377178136,
        4.927695402845244,
        4.927714951710755,
        4.927734977377862,
        4.927754526243373,
        4.927774551910481,
        4.927794100775992,
        4.927814126443099,
        4.92783367530861,
        4.927853700975718,
        4.9278732498412285,
        4.927893275508337,
        4.9279128243738475,
        4.927932850040955,
        4.9279523989064655,
        4.927972424573574,
        4.9279919734390845,
        4.928011999106192,
        4.9280315479717025,
        4.928051573638811,
        4.928071122504321,
        4.928091148171429,
        4.92811069703694,
        4.928130722704048,
        4.928150271569558,
        4.928170297236667,
        4.928189846102177,
        4.928209871769285,
        4.928229420634795,
        4.928249446301904,
        4.928268995167414,
        4.928289020834522,
        4.928308569700033,
        4.928328118565544,
        4.928348144232651,
        4.928367693098162,
        4.92838771876527,
        4.928407267630781,
        4.928427293297888,
        4.928446842163399,
        4.928466391028909,
        4.928486416696018,
        4.928505965561528,
        4.9285259912286365,
        4.928545540094147,
        4.928565088959657,
        4.928585114626765,
        4.928604663492275,
        4.928624689159384,
        4.928644238024894,
        4.928663786890405,
        4.928683812557512,
        4.928703361423023,
        4.928723387090131,
        4.928742935955642,
        4.928762484821152,
        4.9287825104882605,
        4.928802059353771,
        4.928821608219281,
        4.928841633886389,
        4.928861182751899,
        4.92888073161741,
        4.928900757284518,
        4.928920306150029,
        4.928940331817136,
        4.928959880682647,
        4.928979429548157,
        4.928999455215266,
        4.929019004080776,
        4.929038552946286,
        4.929058101811797,
        4.929078127478905,
        4.929097676344416,
        4.929117225209926,
        4.929137250877034,
        4.929156799742544,
        4.929176348608054,
        4.929196374275163,
        4.929215923140673,
        4.929235472006184,
        4.929255497673292,
        4.929275046538803,
        4.929294595404313,
        4.929314144269823,
        4.929334169936931,
        4.929353718802441,
        4.929373267667952,
        4.929392816533462,
        4.929412842200571,
        4.929432391066081,
        4.9294519399315915,
        4.929471488797102,
        4.9294915144642095,
        4.92951106332972,
        4.92953061219523,
        4.929550161060741,
        4.929570186727849,
        4.92958973559336,
        4.92960928445887,
        4.92962883332438,
        4.929648858991489,
        4.929668407856999,
        4.92968795672251,
        4.92970750558802,
        4.92972705445353,
        4.929747080120638,
        4.929766628986148,
        4.929786177851659,
        4.929805726717169,
        4.9298252755826795,
        4.929845301249788,
        4.929864850115298,
        4.929884398980809,
        4.929903947846319,
        4.9299234967118295,
        4.92994304557734,
        4.929963071244448,
        4.929982620109959,
        4.930002168975469,
        4.9300217178409795,
        4.93004126670649,
        4.930060815572,
        4.930080841239108,
        4.930100390104618,
        4.930119938970129,
        4.930139487835639,
        4.930159036701149,
        4.93017858556666,
        4.93019813443217,
        4.930218160099279,
        4.930237708964789,
        4.9302572578302994,
        4.93027680669581,
        4.93029635556132,
        4.9303159044268305,
        4.930335453292341,
        4.930355002157851,
        4.930374551023362,
        4.930394099888872,
        4.930414125555981,
        4.930433674421491,
        4.930453223287001,
        4.930472772152512,
        4.930492321018022,
        4.930511869883532,
        4.930531418749043,
        4.930550967614553,
        4.9305705164800635,
        4.930590065345574,
        4.930609614211084,
        4.930629163076595,
        4.930648711942105,
        4.930668260807615,
        4.930687809673126,
        4.930707835340234,
        4.930727384205745,
        4.930746933071255,
        4.930766481936765,
        4.930786030802276,
        4.930805579667786,
        4.9308251285332965,
        4.930844677398807,
        4.930864226264317,
        4.930883775129828,
        4.930903323995338,
        4.930922872860848,
        4.930942421726359,
        4.930961970591869,
        4.930981519457379,
        4.93100106832289,
        4.9310206171884,
        4.9310401660539105,
        4.931059714919421,
        4.931079263784931,
        4.931098812650442,
        4.931118361515952,
        4.931137910381462,
        4.931157459246973,
        4.931177008112483,
        4.931196080176396,
        4.9312156290419065,
        4.931235177907417,
        4.931254726772927,
        4.931274275638438,
        4.931293824503948,
        4.931313373369458,
        4.931332922234969,
        4.931352471100479,
        4.931372019965989,
        4.9313915688315,
        4.93141111769701,
        4.9314306665625205,
        4.931450215428031,
        4.931469764293541,
        4.931488836357453,
        4.931508385222964,
        4.931527934088474,
        4.9315474829539845,
        4.931567031819495,
        4.931586580685005,
        4.931606129550516,
        4.931625678416026,
        4.931645227281536,
        4.931664776147047,
        4.93168384821096,
        4.93170339707647,
        4.9317229459419805,
        4.931742494807491,
        4.931762043673001,
        4.931781592538512,
        4.931801141404022,
        4.931820213467934,
        4.9318397623334445,
        4.931859311198955,
        4.931878860064465,
        4.931898408929976,
        4.931917957795487,
        4.931937029859399,
        4.931956578724909,
        4.93197612759042,
        4.93199567645593,
        4.93201522532144,
        4.932034774186951,
        4.932053846250864,
        4.932073395116374,
        4.932092943981885,
        4.932112492847395,
        4.932132041712905,
        4.9321511137768175,
        4.932170662642328,
        4.932190211507838,
        4.932209760373349,
        4.932229309238859,
        4.932248381302772,
        4.932267930168282,
        4.932287479033793,
        4.932307027899303,
        4.932326099963215,
        4.932345648828726,
        4.932365197694236,
        4.932384746559746,
        4.932403818623659,
        4.93242336748917,
        4.93244291635468,
        4.9324624652201905,
        4.932481537284103,
        4.932501086149613,
        4.932520635015123,
        4.932540183880634,
        4.932559255944547,
        4.932578804810057,
        4.9325983536755675,
        4.932617902541078,
        4.93263697460499,
        4.9326565234705,
        4.932676072336011,
        4.932695144399924,
        4.932714693265434,
        4.932734242130945,
        4.932753314194857,
        4.932772863060367,
        4.9331605027593906,
        4.933180051624901,
        4.933199600490411,
        4.9332186725543234,
        4.933238221419834,
        4.933257293483747,
        4.933276842349257,
        4.933296391214768,
        4.93331546327868,
        4.93333501214419,
        4.933354084208103,
        4.9333736330736135,
        4.933393181939124,
        4.933412254003036,
        4.933431802868546,
        4.9334508749324595,
        4.93347042379797,
        4.933489495861882,
        4.933509044727392,
        4.933528593592903,
        4.933547665656815,
        4.933567214522326,
        4.933586286586238,
        4.933605835451749,
        4.933624907515661,
        4.933644456381171,
        4.933663528445084,
        4.933683077310595,
        4.933702149374507,
        4.934300535379764,
        4.934320084245274,
        4.9343391563091865,
        4.934358705174697,
        4.93437777723861,
        4.934396849302522,
        4.9344163981680325,
        4.9344354702319455,
        4.934455019097456,
        4.934474091161368,
        4.934493640026878,
        4.9345127120907915,
        4.934531784154704,
        4.934551333020214,
        4.934570405084127,
        4.934589477148039,
        4.93460902601355,
        4.934628098077463,
        4.934647646942973,
        4.934666719006885,
        4.934685791070798,
        4.9347053399363086,
        4.934724412000221,
        4.934743484064134,
        4.934763032929644,
        4.934782104993556,
        4.9348011770574685,
        4.934820725922979,
        4.934839797986892,
        4.934858870050804,
        4.934878418916314,
        4.9348974909802275,
        4.93491656304414,
        4.93493611190965,
        4.934955183973563,
        4.934974256037475,
        4.934993804902986,
        4.935012876966899,
        4.935031949030811,
        4.935051497896321,
        4.935070569960234,
        4.935089642024146,
        4.935109190889657,
        4.93512826295357,
        4.935147335017482,
        4.935166407081395,
        4.935185955946905,
        4.9352050280108175,
        4.93522410007473,
        4.93524364894024,
        4.935262721004153,
        4.935281793068065,
        4.935300865131978,
        4.935320413997489,
        4.935339486061401,
        4.935358558125314,
        4.935377630189226,
        4.935397179054736,
        4.9354162511186495,
        4.935435323182562,
        4.935454395246475,
        4.935473944111985,
        4.935493016175897,
        4.93551208823981,
        4.935531160303722,
        4.935550232367635,
        4.935569781233146,
        4.935588853297058,
        4.93560792536097,
        4.935626997424883,
        4.935646546290394,
        4.935665618354306,
        4.935684690418219,
        4.935703762482131,
        4.935722834546044,
        4.935741906609956,
        4.9357614554754665,
        4.93578052753938,
        4.935799599603292,
        4.935818671667205,
        4.935837743731117,
        4.935857292596627,
        4.93587636466054,
        4.9358954367244525,
        4.935914508788365,
        4.935933580852278,
        4.93595265291619,
        4.935971724980103,
        4.935991273845613,
        4.9360103459095255,
        4.9360294179734385,
        4.936048490037351,
        4.936067562101264,
        4.936086634165176,
        4.936105706229089,
        4.936125255094599,
        4.9361443271585115,
        4.936163399222424,
        4.936182471286337,
        4.936201543350249,
        4.936220615414162,
        4.936239687478074,
        4.936258759541987,
        4.936277831605899,
        4.93629738047141,
        4.936316452535323,
        4.936335524599235,
        4.936354596663148,
        4.93637366872706,
        4.936392740790973,
        4.936411812854885,
        4.9364308849187974,
        4.9364499569827105,
        4.936469029046623,
        4.936488101110536,
        4.936507173174448,
        4.936526245238361,
        4.936545317302273,
        4.9365648661677834,
        4.9365839382316965,
        4.936603010295609,
        4.936622082359522,
        4.936641154423434,
        4.936660226487346,
        4.936679298551259,
        4.936698370615171,
        4.936717442679084,
        4.9367365147429965,
        4.9367555868069095,
        4.936774658870822,
        4.936793730934735,
        4.936812802998647,
        4.93683187506256,
        4.936850947126472,
        4.936870019190385,
        4.936889091254297,
        4.9369081633182095,
        4.9369272353821225,
        4.936946307446035,
        4.936965379509948,
        4.93698445157386,
        4.937003523637773,
        4.937022595701685,
        4.937041667765598,
        4.93706073982951,
        4.937079811893423,
        4.9370988839573355,
        4.93711747921965,
        4.9371365512835625,
        4.937155623347476,
        4.937174695411388,
        4.937193767475301,
        4.937212839539213,
        4.937231911603126,
        4.937250983667038,
        4.937270055730951,
        4.937289127794863,
        4.937308199858776,
        4.937327271922689,
        4.937346343986601,
        4.937365416050514,
        4.937384488114426,
        4.937403083376741,
        4.937422155440654,
        4.937441227504566,
        4.937460299568479,
        4.937479371632391,
        4.937498443696303,
        4.9375175157602165,
        4.937536587824129,
        4.937555659888042,
        4.9375742551503565,
        4.937593327214269,
        4.937612399278182,
        4.937631471342094,
        4.937650543406007,
        4.937669615469919,
        4.937688687533831,
        4.937707282796146,
        4.937726354860059,
        4.937745426923971,
        4.937764498987884,
        4.9377835710517965,
        4.93780264311571,
        4.937821715179622,
        4.937840310441937,
        4.937859382505849,
        4.937878454569762,
        4.937897526633674,
        4.937916598697587,
        4.937935193959902,
        4.937954266023814,
        4.937973338087727,
        4.937992410151639,
        4.938011482215552,
        4.9380305542794645,
        4.938049149541779,
        4.9380682216056915,
        4.9380872936696045,
        4.938106365733517,
        4.9381249609958315,
        4.938144033059745,
        4.938163105123657,
        4.93818217718757,
        4.938201249251482,
        4.938219844513797,
        4.938238916577709,
        4.938257988641622,
        4.938277060705534,
        4.938295655967849,
        4.938314728031762,
        4.938333800095674,
        4.938352872159587,
        4.938371467421901,
        4.938390539485814,
        4.9384096115497265,
        4.9384286836136395,
        4.938447278875954,
        4.9384663509398665,
        4.93848542300378,
        4.938504018266094,
        4.938523090330007,
        4.938542162393919,
        4.938561234457832,
        4.938579829720147,
        4.938598901784059,
        4.938617973847972,
        4.938636569110287,
        4.938655641174199,
        4.938674713238112,
        4.938693308500426,
        4.938712380564339,
        4.938731452628251,
        4.938750524692164,
        4.938769119954479,
        4.938788192018391,
        4.938807264082304,
        4.938825859344619,
        4.938844931408531,
        4.938864003472443,
        4.938882598734758,
        4.938901670798671,
        4.938920266060986,
        4.938939338124898,
        4.938958410188811,
        4.938977005451125,
        4.938996077515038,
        4.9390151495789505,
        4.939033744841265,
        4.939052816905178,
        4.9390718889690906,
        4.939090484231405,
        4.9391095562953184,
        4.939128151557632,
        4.9391472236215455,
        4.939166295685458,
        4.9391848909477725,
        4.9392039630116855,
        4.939222558274,
        4.9392416303379125,
        4.939260702401826,
        4.9392792976641395,
        4.939298369728053,
        4.939316964990367,
        4.93933603705428,
        4.939355109118193,
        4.9393737043805075,
        4.93939277644442,
        4.9394113717067345,
        4.939430443770647,
        4.9394490390329615,
        4.939468111096875,
        4.939486706359189,
        4.939505778423102,
        4.939524850487015,
        4.939543445749329,
        4.939562517813242,
        4.9395811130755565,
        4.939600185139469,
        4.9396187804017835,
        4.9396378524656965,
        4.939656447728011,
        4.9396755197919235,
        4.939694115054238,
        4.9397131871181506,
        4.939731782380465,
        4.9397508544443784,
        4.939769449706693,
        4.9397885217706055,
        4.93980711703292,
        4.9398261890968325,
        4.939844784359147,
        4.93986385642306,
        4.939882451685375,
        4.939901523749287,
        4.939920119011602,
        4.939939191075514,
        4.939957786337829,
        4.939976858401742,
        4.939995453664057,
        4.940014525727969,
        4.940033120990284,
        4.940052193054196,
        4.940070788316511,
        4.940089383578826,
        4.940108455642739,
        4.940127050905054,
        4.940146122968966,
        4.940164718231281,
        4.940183790295193,
        4.940202385557508,
        4.940221457621421,
        4.940240052883736,
        4.940258648146051,
        4.940277720209963,
        4.940296315472278,
        4.94031538753619,
        4.940333982798505,
        4.9403525780608195,
        4.940371650124733,
        4.940390245387047,
        4.94040931745096,
        4.940427912713274,
        4.940446507975589,
        4.940465580039501,
        4.940484175301816,
        4.940503247365729,
        4.940521842628044,
        4.940540437890358,
        4.940559509954271,
        4.940578105216586,
        4.940596700478901,
        4.940615772542813,
        4.940634367805128,
        4.94065343986904,
        4.940672035131355,
        4.94069063039367,
        4.940709702457583,
        4.940728297719898,
        4.940746892982212,
        4.940765965046125,
        4.9407845603084395,
        4.940803155570754,
        4.9408222276346665,
        4.940840822896981,
        4.940859418159296,
        4.940878490223208,
        4.940897085485523,
        4.940915680747838,
        4.940934276010153,
        4.940953348074066,
        4.94097194333638,
        4.940990538598695,
        4.941009610662608,
        4.941028205924923,
        4.9410468011872375,
        4.94106587325115,
        4.9410844685134645,
        4.941103063775779,
        4.941121659038094,
        4.941140731102006,
        4.941159326364321,
        4.941177921626636,
        4.941196516888951,
        4.941215588952863,
        4.941234184215178,
        4.941252779477493,
        4.941271374739808,
        4.941290446803721,
        4.941309042066035,
        4.9413276373283495,
        4.941346232590664,
        4.941365304654577,
        4.941383899916892,
        4.941402495179206,
        4.941421090441521,
        4.941440162505434,
        4.941458757767749,
        4.941477353030064,
        4.941495948292379,
        4.9415145435546926,
        4.941533615618606,
        4.9415522108809204,
        4.941570806143235,
        4.94158940140555,
        4.941607996667864,
        4.941627068731777,
        4.941645663994092,
        4.941664259256407,
        4.941682854518722,
        4.941701449781036,
        4.9417200450433505,
        4.9417391171072635,
        4.941757712369578,
        4.941776307631893,
        4.941794902894208,
        4.941813498156522,
        4.941832093418837,
        4.94185116548275,
        4.941869760745065,
        4.94188835600738,
        4.941906951269694,
        4.941925546532008,
        4.941944141794323,
        4.941962737056638,
        4.941981809120551,
        4.942000404382865,
        4.94201899964518,
        4.942037594907495,
        4.94205619016981,
        4.9420747854321245,
        4.942093380694439,
        4.942111975956754,
        4.942131048020666,
        4.942149643282981,
        4.942168238545296,
        4.942186833807611,
        4.942205429069926,
        4.942224024332241,
        4.9422426195945555,
        4.94226121485687,
        4.942279810119184,
        4.942298405381499,
        4.942317000643814,
        4.942335595906129,
        4.942354667970042,
        4.942373263232357,
        4.943042692675688,
        4.945280084173431,
        4.949192002882698,
        4.949213935756196,
        4.949235868629696,
        4.949258278304794,
        4.9492802111782925,
        4.949302144051792,
        4.94932455372689,
        4.949346486600389,
        4.949368419473888,
        4.949390352347388,
        4.949412762022485,
        4.949434694895984,
        4.949456627769484,
        4.949478560642984,
        4.949500970318081,
        4.94952290319158,
        4.94954483606508,
        4.949566768938579,
        4.949588701812079,
        4.949611111487176,
        4.9496330443606755,
        4.949654977234175,
        4.949676910107674,
        4.949699319782772,
        4.949721252656271,
        4.949743185529771,
        4.94976511840327,
        4.949787051276769,
        4.949808984150269,
        4.949831393825366,
        4.949853326698865,
        4.949875259572365,
        4.949897192445865,
        4.949919125319364,
        4.949941534994461,
        4.949963467867961,
        4.94998540074146,
        4.95000733361496,
        4.950029266488459,
        4.950051199361958,
        4.950073132235458,
        4.950095541910555,
        4.950117474784054,
        4.950139407657554,
        4.950161340531054,
        4.950183273404553,
        4.950205206278053,
        4.9502271391515515,
        4.950249072025051,
        4.950271481700149,
        4.950293414573648,
        4.950315347447147,
        4.950337280320647,
        4.9503592131941465,
        4.950381146067646,
        4.950403078941146,
        4.9504250118146444,
        4.950446944688144,
        4.950468877561644,
        4.950490810435143,
        4.95051322011024,
        4.95053515298374,
        4.950557085857239,
        4.950579018730739,
        4.950600951604239,
        4.950622884477737,
        4.950644817351237,
        4.950666750224737,
        4.950688683098236,
        4.950710615971736,
        4.950732548845235,
        4.950754481718734,
        4.950776414592234,
        4.950798347465733,
        4.950820280339233,
        4.9508422132127325,
        4.950864146086231,
        4.950886078959731,
        4.9509080118332305,
        4.95092994470673,
        4.95095187758023,
        4.950973810453729,
        4.950995743327228,
        4.951017676200728,
        4.951039609074227,
        4.951061541947727,
        4.9510834748212265,
        4.951105407694726,
        4.951127340568225,
        4.951149273441724,
        4.951171206315224,
        4.951193139188724,
        4.951215072062223,
        4.951237004935722,
        4.9512589378092215,
        4.951280870682721,
        4.951302803556221,
        4.95132473642972,
        4.95134666930322,
        4.951368602176719,
        4.951390058248621,
        4.951411991122121,
        4.951433923995619,
        4.951455856869119,
        4.9514777897426185,
        4.951499722616118,
        4.951521655489618,
        4.9515435883631165,
        4.951565521236616,
        4.951587454110116,
        4.951609386983615,
        4.951630843055517,
        4.951652775929016,
        4.951674708802516,
        4.9516966416760155,
        4.951718574549515,
        4.951740507423014,
        4.9517624402965135,
        4.951784373170013,
        4.9518058292419145,
        4.951827762115414,
        4.951849694988914,
        4.951871627862413,
        4.951893560735913,
        4.951915493609412,
        4.952918684171213,
        4.952940617044712,
        4.953005938863613,
        4.953027871737112,
        4.953049327809014,
        4.953071260682513,
        4.953093193556013,
        4.953114649627914,
        4.953136582501414,
        4.953158515374914,
        4.953179971446815,
        4.953201904320315,
        4.953223360392216,
        4.953245293265716,
        4.953267226139215,
        4.953288682211117,
        4.953310615084616,
        4.953332547958116,
        4.953354004030017,
        4.953375936903517,
        4.953397392975418,
        4.953419325848918,
        4.9534412587224175,
        4.953462714794319,
        4.9534846476678185,
        4.95350610373972,
        4.9535280366132195,
        4.953549492685121,
        4.9535714255586205,
        4.95359335843212,
        4.9536148145040215,
        4.954741973481255,
        4.954763906354754,
        4.954785362426656,
        4.954806818498557,
        4.954828751372057,
        4.954850207443958,
        4.95487166351586,
        4.9548935963893594,
        4.954915052461261,
        4.954936508533163,
        4.954958441406662,
        4.954979897478564,
        4.955001353550466,
        4.955023286423965,
        4.955044742495867,
        4.955066198567768,
        4.955088131441268,
        4.955109587513169,
        4.955131043585071,
        4.955152976458571,
        4.955174432530472,
        4.955195888602374,
        4.955217821475873,
        4.955239277547775,
        4.955260733619676,
        4.955282189691578,
        4.955304122565077,
        4.955325578636979,
        4.955347034708881,
        4.95536896758238,
        4.955390423654282,
        4.955411879726183,
        4.9554333357980855,
        4.955455268671584,
        4.9554767247434865,
        4.955498180815388,
        4.955519636887289,
        4.955541569760789,
        4.95556302583269,
        4.955584481904593,
        4.955605937976494,
        4.955627870849994,
        4.955649326921895,
        4.9556707829937965,
        4.955692239065698,
        4.9557136951376,
        4.9557356280111,
        4.955757084083001,
        4.955778540154903,
        4.955799996226804,
        4.955821452298706,
        4.955843385172205,
        4.955864841244107,
        4.955886297316009,
        4.95590775338791,
        4.955929209459812,
        4.955951142333311,
        4.955972598405213,
        4.955994054477115,
        4.956015510549016,
        4.956036966620918,
        4.95605842269282,
        4.956079878764721,
        4.956101811638221,
        4.956123267710122,
        4.956144723782024,
        4.956166179853926,
        4.9561876359258275,
        4.956209091997729,
        4.95623054806963,
        4.95625248094313,
        4.956273937015031,
        4.956295393086934,
        4.956316849158835,
        4.956338305230736,
        4.956359761302638,
        4.95638121737454,
        4.9564026734464415,
        4.956424129518343,
        4.9564460623918425,
        4.956467518463744,
        4.956488974535646,
        4.956510430607548,
        4.956531886679449,
        4.95655334275135,
        4.956574798823253,
        4.956596254895154,
        4.9566177109670555,
        4.956639167038957,
        4.956660623110859,
        4.956682079182761,
        4.956703535254662,
        4.956724991326564,
        4.956746447398466,
        4.956767903470367,
        4.956789836343867,
        4.956811292415768,
        4.956854204559572,
        4.957654516041503,
        4.958970726852269,
        4.95899218292417,
        4.959034618266376,
        4.959056074338277,
        4.9590775304101795,
        4.959098509680483,
        4.959119965752385,
        4.959141421824286,
        4.9591624010945905,
        4.959183857166492,
        4.959205313238393,
        4.959226292508697,
        4.959247748580599,
        4.959268727850903,
        4.959290183922804,
        4.959311639994706,
        4.95933261926501,
        4.959354075336911,
        4.959375054607215,
        4.959396510679117,
        4.959417966751018,
        4.959438946021322,
        4.959460402093224,
        4.959481381363528,
        4.959502837435429,
        4.959524293507331,
        4.959545272777635,
        4.959566728849537,
        4.95958770811984,
        4.959609164191742,
        4.959630143462046,
        4.959651599533948,
        4.959673055605849,
        4.959694034876153,
        4.959715490948055,
        4.959736470218359,
        4.95975792629026,
        4.9597789055605634,
        4.959800361632466,
        4.959821340902769,
        4.959842796974671,
        4.959863776244974,
        4.959885232316877,
        4.95990621158718,
        4.959927667659082,
        4.959948646929385,
        4.959970103001288,
        4.959991082271591,
        4.960012538343493,
        4.960033517613796,
        4.960054973685699,
        4.960075952956002,
        4.960097409027904,
        4.960118388298207,
        4.960139844370109,
        4.960160823640413,
        4.960182279712314,
        4.960203258982618,
        4.96022471505452,
        4.960245694324824,
        4.960267150396725,
        4.960288129667029,
        4.960309585738931,
        4.960330565009235,
        4.960351544279539,
        4.96037300035144,
        4.960393979621744,
        4.960415435693646,
        4.96043641496395,
        4.960457871035851,
        4.960478850306155,
        4.960499829576459,
        4.960521285648361,
        4.960542264918664,
        4.960563720990566,
        4.96058470026087,
        4.960605679531174,
        4.960627135603075,
        4.960648114873379,
        4.960669570945281,
        4.960690550215585,
        4.960711529485889,
        4.96073298555779,
        4.960753964828094,
        4.960775420899996,
        4.9607964001703,
        4.960817379440603,
        4.960838835512505,
        4.9608598147828085,
        4.9608807940531126,
        4.960902250125014,
        4.960923229395318,
        4.960944208665622,
        4.9609656647375235,
        4.960986644007828,
        4.961007623278131,
        4.961029079350033,
        4.961050058620336,
        4.96107103789064,
        4.961092493962542,
        4.961113473232846,
        4.96113445250315,
        4.961155908575051,
        4.9611768878453555,
        4.961197867115659,
        4.961219323187561,
        4.961240302457864,
        4.961261281728168,
        4.961282260998472,
        4.961303717070374,
        4.961324696340678,
        4.961345675610981,
        4.961367131682883,
        4.9613881109531865,
        4.961409090223491,
        4.961430069493795,
        4.961451525565696,
        4.961472504836,
        4.961493484106303,
        4.9615144633766075,
        4.961535919448509,
        4.961556898718813,
        4.961577877989117,
        4.96159885725942,
        4.961620313331323,
        4.961641292601626,
        4.96166227187193,
        4.961683251142234,
        4.961704230412538,
        4.9617256864844395,
        4.9617466657547435,
        4.961767645025047,
        4.961788624295351,
        4.961809603565655,
        4.961831059637556,
        4.96185203890786,
        4.961873018178164,
        4.961893997448468,
        4.961914976718772,
        4.961936432790673,
        4.961957412060977,
        4.9619783913312805,
        4.961999370601585,
        4.962020349871889,
        4.962041329142192,
        4.962062785214094,
        4.962083764484397,
        4.9621047437547015,
        4.9621257230250055,
        4.96214670229531,
        4.962167681565613,
        4.962188660835917,
        4.962210116907818,
        4.962231096178122,
        4.9622520754484265,
        4.96227305471873,
        4.962294033989034,
        4.962315013259338,
        4.962335992529641,
        4.962356971799945,
        4.962378427871847,
        4.962399407142151,
        4.962420386412455,
        4.962441365682759,
        4.962462344953062,
        4.962483324223366,
        4.96250430349367,
        4.962525282763973,
        4.9625462620342775,
        4.962567241304582,
        4.962588220574885,
        4.962609199845189,
        4.962630179115493,
        4.962651635187394,
        4.9626726144576985,
        4.962693593728003,
        4.962714572998306,
        4.96273555226861,
        4.962756531538914,
        4.962777510809217,
        4.962798490079521,
        4.962819469349825,
        4.9628404486201285,
        4.962861427890433,
        4.962882407160737,
        4.962903386431041,
        4.962924365701344,
        4.962945344971648,
        4.962966324241952,
        4.962987303512255,
        4.9630082827825595,
        4.9630292620528635,
        4.963050241323167,
        4.963071220593471,
        4.963092199863775,
        4.963113179134079,
        4.963134158404382,
        4.963155137674686,
        4.96317611694499,
        4.963197096215294,
        4.963218075485598,
        4.963239054755902,
        4.963260034026205,
        4.963281013296509,
        4.963301992566813,
        4.963322971837117,
        4.96334395110742,
        4.963364453576126,
        4.96338543284643,
        4.9634064121167345,
        4.963427391387039,
        4.963448370657342,
        4.963469349927646,
        4.96349032919795,
        4.963511308468253,
        4.963532287738557,
        4.963553267008861,
        4.9635742462791645,
        4.963595225549469,
        4.9636157280181745,
        4.963636707288479,
        4.963657686558783,
        4.963678665829086,
        4.96369964509939,
        4.963720624369694,
        4.963741603639998,
        4.963762582910301,
        4.963783085379007,
        4.963804064649311,
        4.963825043919615,
        4.963846023189919,
        4.963867002460223,
        4.963887981730527,
        4.963908961000831,
        4.963929463469537,
        4.96395044273984,
        4.963971422010144,
        4.963992401280448,
        4.964013380550752,
        4.9640343598210555,
        4.964054862289761,
        4.964075841560065,
        4.9640968208303695,
        4.964117800100673,
        4.964138779370977,
        4.964159758641281,
        4.964180261109987,
        4.964201240380291,
        4.964222219650594,
        4.964243198920898,
        4.964264178191202,
        4.964284680659908,
        4.964305659930212,
        4.964326639200515,
        4.9643476184708195,
        4.964368120939525,
        4.9643891002098295,
        4.964410079480134,
        4.964431058750437,
        4.964451561219143,
        4.964472540489447,
        4.964493519759751,
        4.964514499030055,
        4.964535001498761,
        4.964555980769064,
        4.964576960039368,
        4.964597939309672,
        4.964618441778378,
        4.964639421048682,
        4.964660400318985,
        4.9646813795892895,
        4.964701882057995,
        4.964722861328299,
        4.9647438405986035,
        4.964764343067309,
        4.964785322337613,
        4.964806301607917,
        4.964826804076623,
        4.964847783346927,
        4.964868762617231,
        4.964889741887534,
        4.964910244356241,
        4.964931223626544,
        4.964952202896848,
        4.964972705365554,
        4.964993684635858,
        4.965014663906162,
        4.965035166374868,
        4.965056145645171,
        4.965077124915475,
        4.965097627384181,
        4.965118606654485,
        4.965139109123191,
        4.965160088393495,
        4.965181067663798,
        4.965201570132505,
        4.965222549402808,
        4.9652435286731125,
        4.965264031141818,
        4.9652850104121224,
        4.9653059896824265,
        4.965326492151132,
        4.965347471421436,
        4.965367973890142,
        4.965388953160446,
        4.96540993243075,
        4.965430434899456,
        4.96545141416976,
        4.9654719166384655,
        4.96549289590877,
        4.9655133983774755,
        4.965534377647779,
        4.965555356918083,
        4.965575859386789,
        4.965596838657093,
        4.965617341125799,
        4.965638320396103,
        4.965658822864809,
        4.965679802135113,
        4.965700781405416,
        4.965721283874123,
        4.965742263144426,
        4.965762765613132,
        4.965783744883436,
        4.965804247352142,
        4.965825226622446,
        4.965845729091152,
        4.965866708361456,
        4.965887210830162,
        4.965908190100466,
        4.965928692569172,
        4.965949671839475,
        4.965970174308182,
        4.965991153578485,
        4.966011656047191,
        4.966032635317495,
        4.966053137786201,
        4.966074117056505,
        4.966094619525211,
        4.966115598795515,
        4.966136101264221,
        4.966157080534525,
        4.966177583003231,
        4.966198562273535,
        4.966219064742241,
        4.966240044012544,
        4.966260546481251,
        4.9662810489499565,
        4.96630202822026,
        4.9663225306889665,
        4.96634350995927,
        4.9663640124279755,
        4.96638499169828,
        4.9664054941669855,
        4.966425996635691,
        4.9664469759059955,
        4.966467478374701,
        4.9664884576450055,
        4.966508960113711,
        4.966529939384015,
        4.966550441852721,
        4.966570944321427,
        4.966591923591731,
        4.966612426060437,
        4.966633405330741,
        4.966653907799447,
        4.966674410268153,
        4.966695389538457,
        4.966715892007163,
        4.966736394475869,
        4.966757373746173,
        4.966777876214879,
        4.966798855485182,
        4.966819357953889,
        4.966839860422595,
        4.966860839692898,
        4.966881342161605,
        4.966901844630311,
        4.966922823900614,
        4.966943326369321,
        4.9669638288380265,
        4.96698480810833,
        4.967005310577036,
        4.967025813045742,
        4.9670467923160455,
        4.967067294784751,
        4.967087797253458,
        4.967108776523761,
        4.967129278992467,
        4.967149781461174,
        4.967170760731477,
        4.967191263200183,
        4.96721176566889,
        4.967232268137596,
        4.967253247407899,
        4.967273749876606,
        4.967294252345312,
        4.967315231615615,
        4.967335734084322,
        4.9673562365530275,
        4.967376739021733,
        4.9673977182920375,
        4.967418220760743,
        4.967438723229449,
        4.967459225698155,
        4.967480204968459,
        4.967500707437165,
        4.967521209905871,
        4.967541712374577,
        4.967562691644881,
        4.967583194113587,
        4.967603696582293,
        4.967624199050999,
        4.9676447015197045,
        4.967665680790009,
        4.9676861832587145,
        4.96770668572742,
        4.967727188196127,
        4.96774816746643,
        4.967768669935136,
        4.967789172403842,
        4.967809674872549,
        4.967830177341255,
        4.967850679809961,
        4.967871659080265,
        4.967892161548971,
        4.9679126640176765,
        4.967933166486382,
        4.967953668955088,
        4.967974648225392,
        4.967995150694098,
        4.968015653162804,
        4.96803615563151,
        4.968056658100216,
        4.968077160568923,
        4.968097663037629,
        4.968118642307932,
        4.9681391447766385,
        4.968159647245344,
        4.96818014971405,
        4.968200652182756,
        4.968221154651462,
        4.968241657120168,
        4.968262159588874,
        4.968283138859178,
        4.968303641327884,
        4.96832414379659,
        4.9683446462652965,
        4.968365148734002,
        4.968385651202708,
        4.968406153671414,
        4.96842665614012,
        4.968447158608826,
        4.968467661077532,
        4.968488640347836,
        4.968509142816542,
        4.968529645285248,
        4.968550147753954,
        4.96857065022266,
        4.968591152691366,
        4.968611655160072,
        4.968632157628778,
        4.968652660097484,
        4.96867316256619,
        4.9686936650348965,
        4.968714167503602,
        4.968734669972308,
        4.968755172441014,
        4.96877567490972,
        4.968796177378426,
        4.968816679847132,
        4.968837182315839,
        4.9688576847845445,
        4.96887818725325,
        4.968898689721956,
        4.968919192190662,
        4.968939694659368,
        4.968960197128074,
        4.968980699596781,
        4.969001202065487,
        4.9690217045341925,
        4.969042207002898,
        4.969062709471604,
        4.96908321194031,
        4.969103714409016,
        4.969124216877722,
        4.969144719346429,
        4.9691652218151345,
        4.96918572428384,
        4.969206226752546,
        4.969226729221252,
        4.969247231689958,
        4.969267734158664,
        4.969288236627371,
        4.969308739096077,
        4.9693292415647825,
        4.969349744033488,
        4.969370246502194,
        4.9693907489709,
        4.969411251439606,
        4.969431277106715,
        4.9694517795754205,
        4.969472282044126,
        4.969492784512832,
        4.969513286981539,
        4.969533789450245,
        4.969554291918951,
        4.969574794387657,
        4.969595296856363,
        4.9696157993250685,
        4.969635824992177,
        4.969656327460883,
        4.969676829929589,
        4.969697332398295,
        4.969717834867001,
        4.969738337335707,
        4.969758839804413,
        4.969779342273119,
        4.969799367940227,
        4.969819870408934,
        4.9698403728776395,
        4.969860875346345,
        4.969881377815051,
        4.969901880283757,
        4.969922382752463,
        4.969942408419572,
        4.9699629108882775,
        4.969983413356983,
        4.970003915825689,
        4.970024418294395,
        4.970044443961504,
        4.97006494643021,
        4.9700854488989155,
        4.970105951367621,
        4.970126453836328,
        4.970146479503436,
        4.970166981972142,
        4.970187484440848,
        4.970207986909554,
        4.97022848937826,
        4.970248515045368,
        4.970269017514074,
        4.970289519982781,
        4.9703100224514865,
        4.970330524920192,
        4.9703505505873,
        4.970371053056007,
        4.970391555524713,
        4.970412057993419,
        4.970432083660526,
        4.970452586129233,
        4.970473088597939,
        4.970493591066645,
        4.9705136167337525,
        4.970534119202459,
        4.970554621671165,
        4.970574647338273,
        4.97059514980698,
        4.9706156522756855,
        4.970636154744391,
        4.970656180411499,
        4.970676682880206,
        4.970697185348912,
        4.970717211016019,
        4.970737713484725,
        4.970758215953432,
        4.970778718422138,
        4.970798744089246,
        4.9708192465579515,
        4.970839749026658,
        4.970859774693766,
        4.970880277162472,
        4.970900779631178,
        4.970920805298286,
        4.970941307766992,
        4.970961810235698,
        4.970981835902807,
        4.9710023383715125,
        4.971022840840218,
        4.971042866507327,
        4.971063368976033,
        4.971083871444739,
        4.971103897111847,
        4.971124399580553,
        4.971144425247661,
        4.971164927716367,
        4.9711854301850735,
        4.971205455852181,
        4.971225958320887,
        4.971246460789593,
        4.9712664864567015,
        4.971286988925407,
        4.971307014592516,
        4.971327517061222,
        4.971348019529928,
        4.971368045197036,
        4.971388547665742,
        4.97140857333285,
        4.971429075801556,
        4.971449578270263,
        4.97146960393737,
        4.971490106406076,
        4.971510132073185,
        4.971530634541891,
        4.971550660208999,
        4.971571162677705,
        4.971591188344813,
        4.971611690813519,
        4.971632193282225,
        4.971652218949333,
        4.971672721418039,
        4.9716927470851475,
        4.971713249553853,
        4.971733275220962,
        4.971753777689668,
        4.9717738033567755,
        4.971794305825481,
        4.97181433149259,
        4.971834833961296,
        4.9718548596284045,
        4.97187536209711,
        4.971895387764219,
        4.971915890232925,
        4.9719359159000325,
        4.971956418368738,
        4.971976444035847,
        4.971996946504553,
        4.972016972171661,
        4.972037474640367,
        4.972057500307475,
        4.972078002776182,
        4.972098028443289,
        4.972118530911995,
        4.972138556579104,
        4.97215905904781,
        4.972179084714918,
        4.972199587183624,
        4.972219612850732,
        4.9722396385178405,
        4.972260140986546,
        4.972280166653655,
        4.972300669122361,
        4.9723206947894685,
        4.972341197258174,
        4.972361222925283,
        4.9723812485923915,
        4.972401751061097,
        4.972421776728205,
        4.972442279196911,
        4.9724623048640195,
        4.972482330531128,
        4.972502832999834,
        4.972522858666942,
        4.9725433611356475,
        4.972563386802756,
        4.972583412469865,
        4.972603914938571,
        4.972623940605678,
        4.972644443074385,
        4.972664468741493,
        4.972684494408601,
        4.972704996877307,
        4.972725022544415,
        4.972745048211523,
        4.972765550680229,
        4.972785576347338,
        4.972806078816044,
        4.972826104483151,
        4.97284613015026,
        4.972866632618966,
        4.9728866582860745,
        4.972906683953182,
        4.972927186421888,
        4.972947212088997,
        4.972967237756105,
        4.972987263423213,
        4.973007765891919,
        4.973027791559027,
        4.973047817226135,
        4.973068319694842,
        4.973088345361949,
        4.973108371029058,
        4.973128873497764,
        4.9731488991648725,
        4.97316892483198,
        4.973189427300686,
        4.973209452967795,
        4.973229478634902,
        4.973249504302011,
        4.973270006770717,
        4.973290032437825,
        4.973310058104933,
        4.9733300837720416,
        4.973350586240747,
        4.973370611907856,
        4.973390637574964,
        4.973410663242072,
        4.973431165710778,
        4.973451191377886,
        4.973471217044994,
        4.973491242712103,
        4.973511745180809,
        4.9735317708479165,
        4.973551796515025,
        4.973571822182134,
        4.973591847849241,
        4.973612350317947,
        4.973632375985056,
        4.9736524016521635,
        4.973672427319272,
        4.973692929787978,
        4.9737129554550865,
        4.973732981122194,
        4.973753006789303,
        4.9737730324564104,
        4.973793058123519,
        4.973813560592225,
        4.9738335862593335,
        4.973853611926441,
        4.97387363759355,
        4.973893663260657,
        4.973913688927766,
        4.973934191396472,
        4.97395421706358,
        4.973974242730688,
        4.973994268397797,
        4.974014294064905,
        4.974034319732013,
        4.974054822200719,
        4.974074847867827,
        4.974094873534935,
        4.974114899202044,
        4.974134924869152,
        4.97415495053626,
        4.9741749762033685,
        4.974195001870476,
        4.974215027537585,
        4.974235530006291,
        4.974255555673399,
        4.974275581340507,
        4.974295607007615,
        4.974315632674723,
        4.974335658341832,
        4.974355684008939,
        4.974375709676048,
        4.9743957353431565,
        4.974415761010264,
        4.974435786677373,
        4.974456289146079,
        4.974476314813187,
        4.974496340480295,
        4.9745163661474034,
        4.974536391814511,
        4.97455641748162,
        4.974576443148727,
        4.974596468815836,
        4.9746164944829445,
        4.974636520150052,
        4.974656545817161,
        4.9746765714842685,
        4.974696597151377,
        4.974716622818485,
        4.974736648485593,
        4.974756674152702,
        4.9747766998198095,
        4.974796725486918,
        4.974816751154026,
        4.974836776821134,
        4.974856802488243,
        4.974876828155351,
        4.974896853822459,
        4.974916879489567,
        4.974936905156675,
        4.974956930823783,
        4.974976956490892,
        4.974996982158,
        4.975017007825108,
        4.9750370334922165,
        4.975057059159324,
        4.975077084826433,
        4.975097110493541,
        4.975117136160649,
        4.975137161827758,
        4.975157187494865,
        4.975177213161974,
        4.9751972388290815,
        4.97521726449619,
        4.975237290163299,
        4.975257315830406,
        4.975276864695917,
        4.975296890363025,
        4.975316916030133,
        4.9753369416972415,
        4.975356967364349,
        4.975376993031458,
        4.975397018698566,
        4.975417044365674,
        4.975437070032783,
        4.97545709569989,
        4.975477121366999,
        4.975496670232509,
        4.975516695899618,
        4.975536721566725,
        4.975556747233834,
        4.975576772900942,
        4.97559679856805,
        4.975616824235158,
        4.9756368499022665,
        4.975656875569375,
        4.9756764244348854,
        4.975696450101993,
        4.975716475769102,
        4.975736501436209,
        4.975756527103318,
        4.9757765527704265,
        4.975796101635937,
        4.975816127303045,
        4.975836152970153,
        4.975856178637261,
        4.975876204304369,
        4.975896229971477,
        4.975915778836987,
        4.975935804504096,
        4.975955830171205,
        4.975975855838312,
        4.975995881505421,
        4.9760159071725285,
        4.976035456038039,
        4.976055481705147,
        4.976075507372256,
        4.976095533039364,
        4.976115081904874,
        4.976712514306936,
        4.976732063172446,
        4.976752088839554,
        4.976772114506662,
        4.976791663372173,
        4.97681168903928,
        4.976831714706389,
        4.976851263571899,
        4.976871289239008,
        4.976891314906116,
        4.976910863771626,
        4.9769308894387345,
        4.976950915105842,
        4.976970463971353,
        4.976990489638461,
        4.9770100385039715,
        4.97703006417108,
        4.977050089838188,
        4.977069638703698,
        4.977089664370807,
        4.977109690037914,
        4.977129238903425,
        4.977149264570533,
        4.977168813436044,
        4.977188839103151,
        4.97720886477026,
        4.97722841363577,
        4.977248439302879,
        4.977267988168389,
        4.977288013835497,
        4.9773080395026055,
        4.977327588368116,
        4.9773476140352235,
        4.977367162900734,
        4.9773871885678425,
        4.977406737433353,
        4.977426763100461,
        4.977446788767569,
        4.977466337633079,
        4.977486363300188,
        4.977505912165698,
        4.977525937832806,
        4.977545486698316,
        4.977565512365425,
        4.977585061230935,
        4.977605086898044,
        4.977624635763554,
        4.977644661430662,
        4.9776646870977705,
        4.977684235963281,
        4.977704261630389,
        4.977723810495899,
        4.9777438361630075,
        4.977763385028518,
        4.9777834106956265,
        4.977802959561137,
        4.9778229852282445,
        4.977842534093755,
        4.9778625597608634,
        4.977882108626374,
        4.9779021342934815,
        4.977921683158992,
        4.977941232024502,
        4.977961257691611,
        4.977980806557121,
        4.97800083222423,
        4.97802038108974,
        4.978040406756848,
        4.978059955622358,
        4.978079981289467,
        4.978099530154977,
        4.978119555822085,
        4.978139104687595,
        4.978159130354704,
        4.978178679220214,
        4.978198228085724,
        4.978218253752833,
        4.978237802618343,
        4.978257828285451,
        4.978277377150961,
        4.978296926016472,
        4.97831695168358,
        4.978336500549091,
        4.978356526216198,
        4.978376075081709,
        4.978396100748817,
        4.978415649614328,
        4.978435198479838,
        4.978455224146947,
        4.978474773012457,
        4.978494321877967,
        4.978514347545075,
        4.978533896410585,
        4.978553922077694,
        4.978573470943204,
        4.978593019808715,
        4.978613045475822,
        4.978632594341334,
        4.978652143206844,
        4.978672168873952,
        4.978691717739462,
        4.978711266604972,
        4.978731292272081,
        4.978750841137591,
        4.978770390003102,
        4.978790415670209,
        4.97880996453572,
        4.97882951340123,
        4.978849539068339,
        4.978869087933849,
        4.9788886367993594,
        4.978908662466468,
        4.978928211331978,
        4.978947760197489,
        4.978967785864596,
        4.978987334730107,
        4.979006883595617,
        4.979026909262726,
        4.979046458128236,
        4.9790660069937465,
        4.979085555859257,
        4.9791055815263645,
        4.979125130391875,
        4.979144679257385,
        4.979164228122896,
        4.979184253790004,
        4.9792038026555145,
        4.979223351521025,
        4.979242900386535,
        4.979262926053644,
        4.979282474919154,
        4.979302023784665,
        4.979321572650175,
        4.979341598317283,
        4.979361147182793,
        4.979380696048303,
        4.979400244913814,
        4.979420270580922,
        4.979439819446433,
        4.979459368311943,
        4.979478917177453,
        4.979498466042964,
        4.979518491710072,
        4.979538040575583,
        4.979557589441093,
        4.979577138306603,
        4.979596687172114,
        4.9796167128392215,
        4.979636261704732,
        4.979655810570242,
        4.979675359435753,
        4.979694908301263,
        4.9797149339683715,
        4.979734482833882,
        4.979754031699392,
        4.979773580564903,
        4.979793129430413,
        4.979812678295923,
        4.979832703963032,
        4.979852252828542,
        4.979871801694053,
        4.979891350559563,
        4.979910899425073,
        4.979930448290584,
        4.979949997156094,
        4.979970022823202,
        4.979989571688712,
        4.9800091205542225,
        4.980028669419733,
        4.980048218285243,
        4.980067767150754,
        4.980087316016264,
        4.980831126508854,
        4.980850675374365,
        4.980870224239875,
        4.980889773105385,
        4.980909321970896,
        4.980928870836406,
        4.9809484197019165,
        4.980967968567427,
        4.980987517432937,
        4.981007066298448,
        4.981026615163958,
        4.981046164029468,
        4.981065236093381,
        4.981084784958892,
        4.981104333824402,
        4.9811238826899125,
        4.981143431555423,
        4.981162980420933,
        4.981182529286444,
        4.981202078151954,
        4.981221627017464,
        4.981241175882975,
        4.981260724748485,
        4.981280273613995,
        4.981299822479506,
        4.981318894543419,
        4.981338443408929,
        4.9813579922744395,
        4.98137754113995,
        4.98139709000546,
        4.981416638870971,
        4.981436187736481,
        4.981455736601991,
        4.9814748086659035,
        4.981494357531414,
        4.981513906396924,
        4.981533455262435,
        4.981553004127945,
        4.981572552993455,
        4.981592101858966,
        4.981611173922879,
        4.981630722788389,
        4.9816502716538995,
        4.98166982051941,
        4.98168936938492,
        4.981708918250431,
        4.981728467115941,
        4.981747539179853,
        4.9817670880453635,
        4.981786636910874,
        4.981806185776384,
        4.981825734641895,
        4.981844806705808,
        4.981864355571318,
        4.981883904436828,
        4.981903453302339,
        4.981923002167849,
        4.981942074231761,
        4.981961623097272,
        4.981981171962782,
        4.982000720828292,
        4.982020269693803,
        4.982039341757716,
        4.982058890623226,
        4.9820784394887365,
        4.982097988354247,
        4.982117060418159,
        4.982136609283669,
        4.98215615814918,
        4.98217570701469,
        4.982194779078603,
        4.982214327944114,
        4.982233876809624,
        4.982253425675134,
        4.9822724977390465,
        4.982292046604557,
        4.982311595470067,
        4.982331144335578,
        4.982350216399491,
        4.982369765265001,
        4.982389314130511,
        4.9824083861944235,
        4.982427935059934,
        4.982447483925444,
        4.9824670327909555,
        4.982486104854868,
        4.982505653720378,
        4.982525202585888,
        4.9825442746498005,
        4.982563823515311,
        4.982583372380822,
        4.982602444444734,
        4.982621993310245,
        4.982641542175755,
        4.982660614239667,
        4.982680163105178,
        4.982699711970688,
        4.982718784034601,
        4.982738332900111,
        4.982757881765622,
        4.982776953829534,
        4.982796502695044,
        4.982816051560555,
        4.982835123624468,
        4.982854672489978,
        4.98287374455389,
        4.982893293419401,
        4.982912842284911,
        4.982931914348824,
        4.982951463214334,
        4.982971012079845,
        4.982990084143757,
        4.983009633009267,
        4.98302870507318,
        4.983048253938691,
        4.983067802804201,
        4.983086874868113,
        4.983106423733624,
        4.983125495797537,
        4.983145044663047,
        4.983164593528557,
        4.9831836655924695,
        4.98320321445798,
        4.983222286521893,
        4.983241835387403,
        4.9832609074513154,
        4.983280456316826,
        4.983300005182336,
        4.983319077246249,
        4.98333862611176,
        4.983357698175672,
        4.983377247041182,
        4.983396319105095,
        4.9834158679706055,
        4.983434940034518,
        4.983454488900028,
        4.983473560963941,
        4.9834931098294515,
        4.983512181893364,
        4.983531730758874,
        4.983551279624384,
        4.983570351688297,
        4.983589900553808,
        4.98360897261772,
        4.98362852148323,
        4.983647593547143,
        4.983667142412654,
        4.983686214476566,
        4.983705763342076,
        4.983724835405989,
        4.9837439074699015,
        4.983763456335412,
        4.983782528399324,
        4.983802077264835,
        4.983821149328747,
        4.983840698194258,
        4.98385977025817,
        4.98387931912368,
        4.983898391187593,
        4.983917940053104,
        4.983937012117016,
        4.983956560982526,
        4.983975633046439,
        4.9839947051103515,
        4.984014253975862,
        4.984033326039775,
        4.984052874905285,
        4.984071946969197,
        4.984091495834708,
        4.984110567898621,
        4.984129639962533,
        4.984149188828043,
        4.984168260891956,
        4.984187809757467,
        4.984206881821379,
        4.984225953885292,
        4.984245502750802,
        4.9842645748147145,
        4.984284123680225,
        4.984303195744138,
        4.98432226780805,
        4.9843418166735605,
        4.9843608887374735,
        4.984380437602984,
        4.984399509666896,
        4.984418581730808,
        4.984438130596319,
        4.984457202660232,
        4.984476274724144,
        4.984495823589654,
        4.984514895653567,
        4.984533967717479,
        4.98455351658299,
        4.984572588646903,
        4.984591660710815,
        4.984611209576325,
        4.984630281640238,
        4.9846493537041505,
        4.984668902569661,
        4.984687974633574,
        4.984707046697486,
        4.9847265955629965,
        4.9847456676269095,
        4.984764739690822,
        4.984784288556332,
        4.984803360620245,
        4.984822432684157,
        4.984841981549668,
        4.98486105361358,
        4.984880125677493,
        4.984899197741405,
        4.984918746606915,
        4.984937818670828,
        4.984956890734741,
        4.984975962798654,
        4.984995511664164,
        4.985014583728076,
        4.985033655791989,
        4.9850532046575,
        4.985072276721412,
        4.985091348785325,
        4.985110420849237,
        4.985129969714747,
        4.98514904177866,
        4.9851681138425725,
        4.985187185906485,
        4.985206257970398,
        4.985225806835908,
        4.98524487889982,
        4.985263950963733,
        4.9852830230276455,
        4.985302571893156,
        4.985321643957069,
        4.985340716020981,
        4.985359788084894,
        4.985378860148806,
        4.985398409014317,
        4.98541748107823,
        4.985436553142142,
        4.985455625206055,
        4.985474697269967,
        4.985494246135477,
        4.98551331819939,
        4.985532390263303,
        4.985551462327215,
        4.985570534391128,
        4.98558960645504,
        4.98560915532055,
        4.985628227384463,
        4.985647299448376,
        4.985666371512289,
        4.985685443576201,
        4.985704515640114,
        4.985723587704026,
        4.985743136569536,
        4.985762208633449,
        4.985781280697362,
        4.985800352761274,
        4.985819424825187,
        4.985838496889099,
        4.985857568953012,
        4.985876641016924,
        4.9858961898824345,
        4.985915261946348,
        4.98593433401026,
        4.985953406074173,
        4.985972478138085,
        4.985991550201998,
        4.98601062226591,
        4.986029694329823,
        4.986048766393735,
        4.986067838457648,
        4.986087387323158,
        4.986106459387071,
        4.986125531450983,
        4.986144603514896,
        4.986163675578808,
        4.986182747642721,
        4.986201819706634,
        4.986220891770547,
        4.986239963834459,
        4.986259035898372,
        4.986278107962284,
        4.986297180026196,
        4.986316252090109,
        4.986335324154021,
        4.986354396217934,
        4.986373468281847,
        4.98639254034576,
        4.986411612409672,
        4.986430684473585,
        4.986449756537497,
        4.98646882860141,
        4.986487900665322,
        4.986506972729235,
        4.986526044793147,
        4.98654511685706,
        4.986564188920973,
        4.986583260984885,
        4.986602333048798,
        4.98662140511271,
        4.986640477176623,
        4.986659549240535,
        4.986678621304448,
        4.98669769336836,
        4.9867167654322735,
        4.986735837496186,
        4.986754909560098,
        4.986773981624011,
        4.986793053687923,
        4.986812125751836,
        4.986831197815748,
        4.986850269879661,
        4.9868693419435735,
        4.9868884140074865,
        4.986907486071399,
        4.986926558135312,
        4.986945630199224,
        4.986964702263136,
        4.986983297525451,
        4.987002369589364,
        4.987021441653276,
        4.987040513717189,
        4.987059585781101,
        4.987078657845014,
        4.9870977299089265,
        4.98711680197284,
        4.987135874036752,
        4.987154946100664,
        4.987174018164577,
        4.987192613426892,
        4.987211685490804,
        4.987230757554717,
        4.987249829618629,
        4.987268901682542,
        4.987287973746454,
        4.987307045810367,
        4.98732611787428,
        4.987344713136594,
        4.987363785200507,
        4.98738285726442,
        4.987401929328332,
        4.987421001392245,
        4.987440073456157,
        4.98745914552007,
        4.987477740782385,
        4.987496812846297,
        4.987515884910209,
        4.987534956974122,
        4.9875540290380345,
        4.9875731011019475,
        4.987591696364262,
        4.9876107684281745,
        4.987629840492088,
        4.987648912556,
        4.987667984619913,
        4.987686579882227,
        4.98770565194614,
        4.987724724010052,
        4.987743796073965,
        4.987762868137877,
        4.987781463400192,
        4.987800535464105,
        4.987819607528017,
        4.98783867959193,
        4.987857274854244,
        4.987876346918157,
        4.9878954189820695,
        4.9879144910459825,
        4.987933086308297,
        4.9879521583722095,
        4.987971230436123,
        4.987990302500035,
        4.988009374563948,
        4.988027969826262,
        4.988047041890175,
        4.988066113954087,
        4.988084709216402,
        4.988103781280315,
        4.988122853344227,
        4.98814192540814,
        4.988160520670455,
        4.988179592734367,
        4.988198664798279,
        4.988217736862192,
        4.988236332124507,
        4.988255404188419,
        4.988274476252332,
        4.988293071514647,
        4.988312143578559,
        4.988331215642472,
        4.988349810904786,
        4.988368882968699,
        4.988387955032612,
        4.988406550294926,
        4.9884256223588395,
        4.988444694422752,
        4.9884632896850665,
        4.9884823617489795,
        4.988501433812892,
        4.9885200290752065,
        4.988539101139119,
        4.988558173203032,
        4.988576768465347,
        4.988595840529259,
        4.988614912593172,
        4.988633507855486,
        4.988652579919399,
        4.988671651983311,
        4.988690247245626,
        4.988709319309539,
        4.988727914571854,
        4.988746986635766,
        4.988766058699679,
        4.988784653961993,
        4.988803726025906,
        4.988822798089818,
        4.988841393352133,
        4.988860465416046,
        4.988879060678361,
        4.988898132742273,
        4.988916728004588,
        4.9889358000685,
        4.988954872132413,
        4.988973467394728,
        4.98899253945864,
        4.989011134720955,
        4.989030206784868,
        4.98904927884878,
        4.989067874111095,
        4.989086946175007,
        4.989105541437322,
        4.989124613501235,
        4.98914320876355,
        4.989162280827462,
        4.989180876089777,
        4.989199948153689,
        4.989218543416004,
        4.989237615479917,
        4.989256687543829,
        4.989275282806144,
        4.989294354870057,
        4.989312950132372,
        4.989332022196284,
        4.989350617458599,
        4.989369689522511,
        4.989388284784826,
        4.989407356848739,
        4.989425952111054,
        4.989445024174966,
        4.989463619437281,
        4.989482691501193,
        4.989501286763508,
        4.989520358827421,
        4.989538954089736,
        4.989558026153648,
        4.989576621415963,
        4.989595693479875,
        4.98961428874219,
        4.9896328840045046,
        4.989651956068418,
        4.9896705513307325,
        4.989689623394645,
        4.9897082186569595,
        4.989727290720872,
        4.9897458859831865,
        4.9897649580470995,
        4.989783553309414,
        4.9898026253733265,
        4.989821220635641,
        4.989839815897956,
        4.989858887961868,
        4.989877483224183,
        4.989896555288096,
        4.989915150550411,
        4.989933745812725,
        4.989952817876638,
        4.989971413138953,
        4.989990485202865,
        4.99000908046518,
        4.990027675727495,
        4.990046747791408,
        4.990065343053722,
        4.990084415117635,
        4.99010301037995,
        4.990121605642265,
        4.990140677706177,
        4.990159272968492,
        4.990178345032405,
        4.990196940294719,
        4.9902155355570335,
        4.9902346076209465,
        4.990253202883261,
        4.990271798145576,
        4.990290870209488,
        4.990309465471803,
        4.990328060734118,
        4.99034713279803,
        4.990365728060345,
        4.99038432332266,
        4.990403395386572,
        4.990421990648887,
        4.990440585911202,
        4.993527399455451,
        4.997064313708037,
        4.997086246581536,
        4.997108656256634,
        4.997131065931731,
        4.9971534756068285,
        4.997175408480327,
        4.997197818155425,
        4.997220227830522,
        4.997242160704022,
        4.9972645703791185,
        4.997286980054216,
        4.997309389729313,
        4.997331322602813,
        4.99735373227791,
        4.997376141953008,
        4.997398074826507,
        4.997420484501604,
        4.997442894176701,
        4.997464827050201,
        4.9974872367252985,
        4.997509646400395,
        4.997531579273895,
        4.997553988948992,
        4.99757639862409,
        4.9975983314975885,
        4.997620741172686,
        4.997642674046186,
        4.997665083721283,
        4.99768749339638,
        4.997709426269879,
        4.997731835944977,
        4.997754245620074,
        4.997776178493574,
        4.997798588168671,
        4.99782052104217,
        4.997842930717267,
        4.997865340392365,
        4.997887273265865,
        4.9979096829409615,
        4.997931615814461,
        4.997954025489558,
        4.997976435164656,
        4.997998368038155,
        4.998020777713252,
        4.998042710586752,
        4.998065120261849,
        4.998087529936946,
        4.998109462810445,
        4.998131872485543,
        4.998153805359043,
        4.99817621503414,
        4.998198147907639,
        4.998220557582736,
        4.998242490456236,
        4.998264900131333,
        4.9982868330048325,
        4.99830924267993,
        4.998331652355027,
        4.998353585228527,
        4.998375994903624,
        4.998397927777123,
        4.99842033745222,
        4.99844227032572,
        4.998464680000818,
        4.998486612874316,
        4.998509022549414,
        4.998530955422914,
        4.998553365098011,
        4.99857529797151,
        4.998597707646607,
        4.998619640520107,
        4.998642050195204,
        4.998663983068703,
        4.998686392743801,
        4.9987083256173,
        4.9987302584907995,
        4.998752668165897,
        4.998774601039397,
        4.998797010714494,
        4.9988189435879935,
        4.99884135326309,
        4.99886328613659,
        4.998885695811687,
        4.998907628685187,
        4.998929561558686,
        4.998951971233783,
        4.998973904107283,
        4.9989963137823805,
        4.999018246655879,
        4.999040656330977,
        4.999062589204477,
        4.999084522077975,
        4.999106931753073,
        4.999128864626573,
        4.99915127430167,
        4.999173207175169,
        4.999195140048669,
        4.999217549723766,
        4.9992394825972655,
        4.999261892272362,
        4.999283825145862,
        4.999305758019362,
        4.9993281676944585,
        4.999350100567958,
        4.999372033441458,
        4.999394443116555,
        4.999416375990054,
        4.999438308863554,
        4.999460718538651,
        4.99948265141215,
        4.99950458428565,
        4.999526993960747,
        4.999548926834247,
        4.999570859707746,
        4.999593269382843,
        4.999615202256343,
        4.999637135129842,
        4.99965954480494,
        4.999681477678439,
        4.9997034105519385,
        4.999725820227036,
        4.999747753100535,
        4.999769685974035,
        4.999792095649132,
        4.999814028522631,
        4.999835961396131,
        4.99985789426963,
        4.999880303944727,
        4.999902236818227,
        4.9999241696917265,
        4.999946579366823,
        4.999968512240323,
        4.999990445113823,
        5.000012377987322,
        5.000034787662419,
        5.000056720535919,
        5.000078653409418,
        5.000100586282918,
        5.000122995958015,
        5.0001449288315145,
        5.000166861705014,
        5.000188794578514,
        5.000211204253611,
        5.00023313712711,
        5.00025507000061,
        5.0002770028741095,
        5.000298935747608,
        5.000321345422706,
        5.000343278296206,
        5.000365211169704,
        5.000387144043204,
        5.0004090769167036,
        5.0004314865918005,
        5.0004534194653,
        5.0004753523388,
        5.000497285212299,
        5.000519218085799,
        5.0005411509592985,
        5.000563560634395,
        5.000585493507895,
        5.000607426381395,
        5.000629359254893,
        5.000651292128393,
        5.000673225001893,
        5.0006956346769895,
        5.000717567550489,
        5.000739500423989,
        5.000761433297488,
        5.000783366170988,
        5.000805299044488,
        5.000827231917986,
        5.000849641593084,
        5.000871574466584,
        5.000893507340082,
        5.000915440213582,
        5.000937373087082,
        5.000959305960581,
        5.000981238834081,
        5.0010031717075805,
        5.001025104581079,
        5.001047514256177,
        5.001069447129677,
        5.001091380003175,
        5.001113312876675,
        5.0011352457501745,
        5.001157178623674,
        5.001179111497174,
        5.001201044370673,
        5.001222977244172,
        5.001244910117672,
        5.001266842991171,
        5.001288775864671,
        5.0013107087381705,
        5.00133264161167,
        5.001354574485169,
        5.0013765073586685,
        5.001398917033766,
        5.001420849907265,
        5.001442782780765,
        5.001464715654264,
        5.001486648527764,
        5.001508581401263,
        5.001530514274763,
        5.001552447148262,
        5.001574380021761,
        5.001596312895261,
        5.001618245768761,
        5.00164017864226,
        5.00166211151576,
        5.0016840443892585,
        5.001705977262758,
        5.001749843009757,
        5.001771775883257,
        5.001793708756756,
        5.0028874916221415,
        5.002908947694044,
        5.0029308805675425,
        5.002952813441042,
        5.002974746314542,
        5.002996679188041,
        5.003018135259943,
        5.003040068133442,
        5.003062001006942,
        5.003083933880442,
        5.003105389952343,
        5.003127322825843,
        5.003149255699342,
        5.003171188572841,
        5.003192644644743,
        5.003214577518243,
        5.0032365103917416,
        5.003258443265241,
        5.003279899337143,
        5.003301832210642,
        5.003323765084142,
        5.003345697957641,
        5.003367154029543,
        5.003389086903042,
        5.003411019776542,
        5.003432475848443,
        5.003454408721943,
        5.003476341595443,
        5.003497797667344,
        5.003519730540844,
        5.003541663414343,
        5.003563596287842,
        5.003585052359744,
        5.003606985233244,
        5.003628918106743,
        5.003650374178645,
        5.003672307052144,
        5.003694239925643,
        5.0037156959975455,
        5.003737628871044,
        5.003759561744544,
        5.003781017816446,
        5.003802950689945,
        5.003824406761847,
        5.003846339635346,
        5.0038682725088455,
        5.003889728580748,
        5.0039116614542465,
        5.003933594327746,
        5.0039550503996475,
        5.003976983273147,
        5.003998916146647,
        5.004020372218548,
        5.004042305092048,
        5.004063761163949,
        5.004085694037449,
        5.004107626910948,
        5.00412908298285,
        5.004151015856349,
        5.004172471928251,
        5.00419440480175,
        5.004215860873653,
        5.004237793747151,
        5.004259726620651,
        5.004281182692552,
        5.004303115566052,
        5.004324571637954,
        5.004346504511453,
        5.004367960583355,
        5.004389893456854,
        5.004411826330354,
        5.004433282402256,
        5.004455215275755,
        5.004476671347657,
        5.004498604221156,
        5.004520060293058,
        5.004541993166558,
        5.004563449238459,
        5.004585382111959,
        5.00460683818386,
        5.00462877105736,
        5.004650227129261,
        5.004672160002761,
        5.004693616074662,
        5.004715548948162,
        5.004737005020063,
        5.004758937893563,
        5.004780393965464,
        5.004802326838964,
        5.004823782910865,
        5.004845715784365,
        5.004867171856266,
        5.004889104729766,
        5.004910560801668,
        5.004932493675167,
        5.004953949747069,
        5.004975882620568,
        5.00499733869247,
        5.005018794764371,
        5.005040727637871,
        5.005062183709772,
        5.005084116583272,
        5.005105572655173,
        5.005127505528673,
        5.005148961600574,
        5.005170417672477,
        5.005192350545975,
        5.005213806617878,
        5.0052357394913765,
        5.005257195563279,
        5.005279128436778,
        5.00530058450868,
        5.005322040580581,
        5.005343973454081,
        5.005365429525982,
        5.005387362399482,
        5.005408818471383,
        5.005430274543285,
        5.005452207416784,
        5.0054736634886865,
        5.005495119560588,
        5.0055170524340875,
        5.005538508505989,
        5.0055604413794885,
        5.00558189745139,
        5.005603353523291,
        5.005625286396791,
        5.005646742468692,
        5.005668198540595,
        5.005690131414093,
        5.005711587485996,
        5.005733043557897,
        5.005754976431397,
        5.005776432503298,
        5.0057978885751995,
        5.005819821448699,
        5.0058412775206005,
        5.005862733592503,
        5.005884189664404,
        5.005906122537904,
        5.005927578609805,
        5.005949034681707,
        5.005970967555206,
        5.005992423627108,
        5.00601387969901,
        5.0060358125725095,
        5.006057268644411,
        5.006078724716312,
        5.006100180788214,
        5.006122113661713,
        5.006143569733615,
        5.006165025805517,
        5.006186481877418,
        5.006208414750918,
        5.0062298708228194,
        5.006251326894721,
        5.006272782966623,
        5.006294715840122,
        5.006316171912024,
        5.006337627983926,
        5.006359084055827,
        5.006381016929327,
        5.006402473001228,
        5.00642392907313,
        5.006445385145032,
        5.006466841216933,
        5.006488774090433,
        5.006510230162334,
        5.0065316862342355,
        5.006553142306138,
        5.006574598378039,
        5.006596531251539,
        5.00661798732344,
        5.006639443395342,
        5.006660899467244,
        5.006682355539145,
        5.006704288412645,
        5.006725744484546,
        5.006747200556448,
        5.006768656628349,
        5.006790112700251,
        5.006811568772153,
        5.006833501645652,
        5.006854957717554,
        5.006876413789455,
        5.0068978698613575,
        5.006919325933259,
        5.00694078200516,
        5.006962238077062,
        5.006984170950561,
        5.007005627022463,
        5.007027083094365,
        5.0070485391662665,
        5.007069995238168,
        5.00709145131007,
        5.007112907381972,
        5.007134363453873,
        5.007155819525774,
        5.007177752399274,
        5.007199208471175,
        5.007220664543078,
        5.007242120614979,
        5.0072635766868805,
        5.007285032758782,
        5.007306488830684,
        5.007327944902586,
        5.007349400974487,
        5.007370857046389,
        5.007392313118291,
        5.007413769190192,
        5.0074352252620935,
        5.007456681333996,
        5.0074786142074945,
        5.007500070279397,
        5.007521526351298,
        5.0075429824232,
        5.007564438495101,
        5.007585894567003,
        5.007607350638905,
        5.007628806710806,
        5.0076502627827075,
        5.00767171885461,
        5.007693174926511,
        5.007714630998413,
        5.007736087070315,
        5.007757543142216,
        5.007778999214118,
        5.007800455286019,
        5.007821911357921,
        5.007843367429823,
        5.007864823501724,
        5.007886279573626,
        5.007907735645528,
        5.007929191717429,
        5.007950647789331,
        5.007972103861232,
        5.007993559933134,
        5.008015016005036,
        5.008036472076937,
        5.008057451347241,
        5.008078907419143,
        5.008100363491044,
        5.008121819562946,
        5.008143275634848,
        5.008164731706749,
        5.0081861877786515,
        5.008207643850553,
        5.008229099922454,
        5.008250555994356,
        5.008272012066258,
        5.0082934681381595,
        5.008314924210061,
        5.008336380281962,
        5.008357359552266,
        5.008378815624168,
        5.00840027169607,
        5.0084217277679715,
        5.008443183839873,
        5.008464639911774,
        5.008486095983677,
        5.008507552055578,
        5.008529008127479,
        5.0085499873977835,
        5.008571443469685,
        5.008592899541586,
        5.0086143556134886,
        5.00863581168539,
        5.008657267757291,
        5.008678723829194,
        5.008699703099497,
        5.008721159171398,
        5.0087426152433006,
        5.008764071315202,
        5.008785527387103,
        5.008806983459006,
        5.008827962729309,
        5.00884941880121,
        5.0088708748731126,
        5.008892330945014,
        5.008913787016915,
        5.008935243088818,
        5.008956222359121,
        5.008977678431023,
        5.0089991345029246,
        5.009020590574826,
        5.009042046646727,
        5.0090630259170315,
        5.009084481988933,
        5.009105938060835,
        5.0091273941327366,
        5.009148373403041,
        5.009169829474942,
        5.0091912855468435,
        5.009212741618745,
        5.009233720889049,
        5.00925517696095,
        5.009276633032853,
        5.009298089104754,
        5.009319068375057,
        5.0093405244469595,
        5.009361980518861,
        5.009383436590762,
        5.009404415861066,
        5.009425871932968,
        5.00944732800487,
        5.0094687840767715,
        5.009489763347075,
        5.009511219418977,
        5.009532675490878,
        5.0095536547611825,
        5.009575110833084,
        5.009596566904985,
        5.009618022976888,
        5.009639002247191,
        5.009660458319092,
        5.0096819143909945,
        5.009702893661298,
        5.0097243497332,
        5.009745805805101,
        5.0097667850754055,
        5.009788241147307,
        5.009809697219208,
        5.009830676489512,
        5.009852132561414,
        5.009873588633315,
        5.009894567903619,
        5.009916023975521,
        5.009937480047423,
        5.009958459317726,
        5.0099799153896285,
        5.010000894659932,
        5.010022350731834,
        5.010043806803735,
        5.0100647860740395,
        5.010086242145941,
        5.010107698217842,
        5.010128677488146,
        5.010150133560048,
        5.010171112830352,
        5.010192568902253,
        5.010214024974155,
        5.010235004244459,
        5.01025646031636,
        5.010277439586664,
        5.010298895658566,
        5.010320351730467,
        5.010341331000771,
        5.010362787072673,
        5.010383766342977,
        5.010405222414878,
        5.010426201685182,
        5.010447657757084,
        5.010469113828986,
        5.010490093099289,
        5.010511549171191,
        5.0105325284414945,
        5.010553984513397,
        5.0105749637837,
        5.010596419855602,
        5.0106173991259055,
        5.010638855197808,
        5.010659834468111,
        5.010681290540013,
        5.0107022698103165,
        5.010723725882218,
        5.010744705152522,
        5.010766161224423,
        5.0107871404947275,
        5.010808596566629,
        5.010829575836933,
        5.010851031908834,
        5.0108720111791385,
        5.01089346725104,
        5.010914446521344,
        5.010935902593245,
        5.0109568818635495,
        5.010978337935451,
        5.010999317205755,
        5.011020773277656,
        5.0110417525479605,
        5.011063208619862,
        5.011084187890166,
        5.011105643962067,
        5.0111266232323715,
        5.0111476025026755,
        5.011169058574577,
        5.011190037844881,
        5.0112114939167824,
        5.0112324731870865,
        5.011253929258988,
        5.011274908529291,
        5.011295887799595,
        5.011317343871497,
        5.011338323141801,
        5.011359779213702,
        5.011380758484006,
        5.011402214555908,
        5.011423193826212,
        5.011444173096516,
        5.011465629168417,
        5.011486608438721,
        5.0115075877090245,
        5.011529043780927,
        5.01155002305123,
        5.011571479123132,
        5.0115924583934355,
        5.01161343766374,
        5.011634893735641,
        5.011655873005945,
        5.011676852276249,
        5.0116983083481506,
        5.011719287618455,
        5.011740266888758,
        5.01176172296066,
        5.011782702230963,
        5.011803681501267,
        5.011825137573169,
        5.011846116843473,
        5.011867096113777,
        5.011888552185678,
        5.0119095314559825,
        5.011930510726286,
        5.011951966798188,
        5.011972946068491,
        5.011993925338795,
        5.012015381410697,
        5.012036360681001,
        5.012057339951305,
        5.012078796023206,
        5.01209977529351,
        5.012120754563814,
        5.012141733834118,
        5.012163189906019,
        5.012184169176323,
        5.012205148446627,
        5.012226127716931,
        5.012247583788833,
        5.012268563059136,
        5.01228954232944,
        5.012310521599744,
        5.0123319776716455,
        5.01235295694195,
        5.012373936212254,
        5.012394915482557,
        5.012416371554459,
        5.012437350824762,
        5.0124583300950665,
        5.012479309365371,
        5.012500765437272,
        5.012521744707576,
        5.012542723977879,
        5.012563703248183,
        5.012584682518487,
        5.012606138590389,
        5.012627117860693,
        5.012648097130996,
        5.0126690764013,
        5.012690055671604,
        5.012711511743506,
        5.01273249101381,
        5.012753470284113,
        5.012774449554417,
        5.012795428824721,
        5.012816408095025,
        5.012837864166927,
        5.012858843437231,
        5.012879822707534,
        5.012900801977838,
        5.012921781248142,
        5.012942760518445,
        5.012964216590348,
        5.012985195860651,
        5.013006175130955,
        5.013027154401259,
        5.013048133671562,
        5.013069112941866,
        5.01309009221217,
        5.0131110714824745,
        5.013132527554376,
        5.01315350682468,
        5.013174486094983,
        5.013195465365287,
        5.013216444635591,
        5.0132374239058946,
        5.013258403176199,
        5.013279382446503,
        5.013300361716806,
        5.01332134098711,
        5.013342797059011,
        5.0133637763293155,
        5.01338475559962,
        5.013405734869924,
        5.013426714140227,
        5.013447693410531,
        5.013468672680835,
        5.013489651951138,
        5.013510631221442,
        5.0135316104917464,
        5.01355258976205,
        5.013573569032354,
        5.013594548302658,
        5.013615527572962,
        5.013636506843265,
        5.013657486113569,
        5.013678465383873,
        5.0136994446541765,
        5.013720423924481,
        5.013741403194785,
        5.013762382465088,
        5.013783361735392,
        5.013804341005696,
        5.013825320276,
        5.013846299546303,
        5.013867278816607,
        5.0138882580869115,
        5.013909237357215,
        5.013930216627519,
        5.013951195897823,
        5.013972175168126,
        5.01399315443843,
        5.014014133708734,
        5.014035112979038,
        5.014056092249342,
        5.014077071519646,
        5.01409805078995,
        5.014119030060253,
        5.014140009330557,
        5.014160988600861,
        5.014181967871165,
        5.014202947141468,
        5.0142239264117725,
        5.014244905682077,
        5.01426588495238,
        5.014286387421086,
        5.01430736669139,
        5.014328345961694,
        5.014349325231998,
        5.014370304502301,
        5.014391283772605,
        5.014412263042909,
        5.0144332423132125,
        5.014454221583517,
        5.014475200853821,
        5.014496180124124,
        5.014516682592831,
        5.014537661863134,
        5.014558641133438,
        5.014579620403742,
        5.014600599674045,
        5.014621578944349,
        5.014642558214653,
        5.0146635374849575,
        5.014684039953663,
        5.014705019223967,
        5.014725998494271,
        5.014746977764575,
        5.014767957034879,
        5.014788936305182,
        5.014809438773888,
        5.014830418044192,
        5.014851397314496,
        5.014872376584799,
        5.014893355855103,
        5.0149143351254075,
        5.014934837594113,
        5.0149558168644175,
        5.014976796134721,
        5.014997775405025,
        5.015018754675329,
        5.015039257144035,
        5.015060236414339,
        5.015081215684642,
        5.015102194954946,
        5.01512317422525,
        5.015143676693956,
        5.01516465596426,
        5.015185635234563,
        5.0152066145048675,
        5.015227116973573,
        5.0152480962438775,
        5.0152690755141816,
        5.015290054784485,
        5.015310557253191,
        5.015331536523495,
        5.015352515793799,
        5.015373495064103,
        5.015393997532809,
        5.015414976803112,
        5.015435956073416,
        5.01545693534372,
        5.015477437812426,
        5.01549841708273,
        5.015519396353033,
        5.015539898821739,
        5.015560878092043,
        5.015581857362347,
        5.0156028366326515,
        5.015623339101357,
        5.015644318371661,
        5.015665297641965,
        5.0156858001106706,
        5.015706779380975,
        5.015727758651279,
        5.015748261119985,
        5.015769240390289,
        5.015790219660592,
        5.015810722129298,
        5.015831701399602,
        5.015852680669906,
        5.015873183138612,
        5.015894162408916,
        5.015915141679219,
        5.015935644147925,
        5.015956623418229,
        5.015977602688533,
        5.015998105157239,
        5.016019084427543,
        5.018557099332708,
        5.0216367608529895,
        5.021657263321696,
        5.021677288988804,
        5.02169779145751,
        5.021718293926216,
        5.021738319593324,
        5.02175882206203,
        5.021779324530736,
        5.021799350197845,
        5.0218198526665505,
        5.021840355135256,
        5.021860380802365,
        5.021880883271071,
        5.021901385739777,
        5.021921411406885,
        5.021941913875591,
        5.021962416344297,
        5.021982442011405,
        5.0220029444801115,
        5.022022970147219,
        5.022043472615925,
        5.022063975084631,
        5.0220840007517396,
        5.022104503220445,
        5.022124528887554,
        5.02214503135626,
        5.022165533824966,
        5.022185559492074,
        5.02220606196078,
        5.022226087627888,
        5.022246590096595,
        5.022267092565301,
        5.022287118232408,
        5.022307620701114,
        5.022327646368223,
        5.022348148836929,
        5.022368174504037,
        5.022388676972743,
        5.022409179441449,
        5.0224292051085575,
        5.022449707577263,
        5.022469733244371,
        5.022490235713077,
        5.0225102613801855,
        5.022530763848891,
        5.022550789516,
        5.022571291984706,
        5.0225913176518135,
        5.02261182012052,
        5.022631845787628,
        5.022652348256334,
        5.0226723739234425,
        5.022692876392148,
        5.022712902059257,
        5.022733404527963,
        5.0227534301950705,
        5.022773932663776,
        5.022793958330885,
        5.022814460799591,
        5.022834486466699,
        5.022854988935405,
        5.022875014602513,
        5.02289551707122,
        5.022915542738327,
        5.022936045207033,
        5.022956070874142,
        5.022976573342848,
        5.022996599009956,
        5.023017101478662,
        5.02303712714577,
        5.0230571528128785,
        5.023077655281584,
        5.023097680948693,
        5.023118183417399,
        5.0231382090845065,
        5.023158711553213,
        5.023178737220321,
        5.023199239689027,
        5.023219265356135,
        5.023239291023243,
        5.02325979349195,
        5.0232798191590575,
        5.023300321627763,
        5.023320347294872,
        5.02334037296198,
        5.023360875430686,
        5.023380901097794,
        5.0234014035665,
        5.023421429233609,
        5.023441454900716,
        5.023461957369423,
        5.023481983036531,
        5.023502008703639,
        5.023522511172345,
        5.023542536839453,
        5.023562562506561,
        5.023583064975267,
        5.023603090642376,
        5.023623593111082,
        5.02364361877819,
        5.023663644445298,
        5.023684146914004,
        5.0237041725811125,
        5.02372419824822,
        5.023744700716927,
        5.023764726384035,
        5.023784752051143,
        5.023805254519849,
        5.023825280186957,
        5.023845305854065,
        5.023865331521174,
        5.02388583398988,
        5.023905859656987,
        5.023925885324096,
        5.023946387792802,
        5.0239664134599105,
        5.023986439127018,
        5.024006464794127,
        5.024026967262833,
        5.02404699292994,
        5.024067018597049,
        5.024087521065755,
        5.024107546732863,
        5.024127572399971,
        5.02414759806708,
        5.024168100535785,
        5.024188126202894,
        5.024208151870002,
        5.02422817753711,
        5.024248680005816,
        5.024268705672925,
        5.024288731340032,
        5.024308757007141,
        5.024329259475847,
        5.0243492851429545,
        5.024369310810063,
        5.024389336477172,
        5.024409362144279,
        5.024429864612985,
        5.024449890280094,
        5.0244699159472015,
        5.02448994161431,
        5.024509967281419,
        5.0245304697501245,
        5.024550495417232,
        5.024570521084341,
        5.024590546751449,
        5.024610572418557,
        5.024631074887263,
        5.0246511005543715,
        5.024671126221479,
        5.024691151888588,
        5.024711177555696,
        5.024731203222804,
        5.02475170569151,
        5.024771731358618,
        5.024791757025726,
        5.024811782692835,
        5.024831808359943,
        5.024851834027051,
        5.0248718596941595,
        5.024892362162865,
        5.024912387829973,
        5.024932413497082,
        5.02495243916419,
        5.024972464831298,
        5.0249924904984065,
        5.025012516165514,
        5.025032541832623,
        5.025052567499731,
        5.025073069968437,
        5.025093095635545,
        5.025113121302653,
        5.025133146969761,
        5.02515317263687,
        5.025173198303978,
        5.025193223971086,
        5.0252132496381945,
        5.025233275305302,
        5.025253300972411,
        5.025273326639518,
        5.025293352306627,
        5.025313377973736,
        5.0253338804424414,
        5.025353906109549,
        5.025373931776658,
        5.025393957443766,
        5.025413983110874,
        5.0254340087779825,
        5.02545403444509,
        5.025474060112199,
        5.0254940857793065,
        5.025514111446415,
        5.025534137113524,
        5.025554162780631,
        5.02557418844774,
        5.0255942141148475,
        5.025614239781956,
        5.025634265449064,
        5.025654291116172,
        5.025674316783281,
        5.025694342450389,
        5.025714368117497,
        5.025734393784605,
        5.025754419451713,
        5.025774445118822,
        5.02579447078593,
        5.025814496453038,
        5.025834522120146,
        5.0258545477872545,
        5.025874573454362,
        5.025894599121471,
        5.025914624788579,
        5.025934650455687,
        5.025954676122796,
        5.025974224988306,
        5.025994250655414,
        5.026014276322522,
        5.026034301989631,
        5.026054327656738,
        5.026074353323847,
        5.026094378990955,
        5.026114404658063,
        5.026134430325171,
        5.0261544559922795,
        5.026174481659388,
        5.026194507326496,
        5.026214532993604,
        5.026234081859115,
        5.026254107526222,
        5.026274133193331,
        5.026294158860439,
        5.026314184527547,
        5.026334210194656,
        5.026354235861763,
        5.026374261528872,
        5.02639428719598,
        5.02641383606149,
        5.026433861728599,
        5.026453887395707,
        5.026473913062815,
        5.0264939387299234,
        5.026513964397031,
        5.02653399006414,
        5.02655353892965,
        5.026573564596758,
        5.026593590263866,
        5.026613615930975,
        5.026633641598083,
        5.026653667265191,
        5.0266732161307015,
        5.026693241797809,
        5.026713267464918,
        5.026733293132026,
        5.026753318799134,
        5.026772867664644,
        5.026792893331753,
        5.026812918998861,
        5.026832944665969,
        5.026852970333077,
        5.026872519198587,
        5.026892544865696,
        5.026912570532804,
        5.026932596199912,
        5.026952621867021,
        5.026972170732531,
        5.026992196399639,
        5.027012222066747,
        5.027032247733856,
        5.027051796599366,
        5.027071822266474,
        5.027091847933582,
        5.02711187360069,
        5.0271314224662005,
        5.027151448133309,
        5.027171473800418,
        5.027191499467525,
        5.027211048333036,
        5.027231074000144,
        5.027251099667252,
        5.0272711253343605,
        5.027290674199871,
        5.0273106998669785,
        5.027330725534087,
        5.0273502743995975,
        5.027370300066706,
        5.027390325733814,
        5.027409874599324,
        5.027429900266433,
        5.02744992593354,
        5.027469951600649,
        5.027489500466159,
        5.027509526133268,
        5.0275295518003755,
        5.027549100665886,
        5.0275691263329945,
        5.027589152000102,
        5.0276087008656125,
        5.027628726532721,
        5.02764875219983,
        5.02766830106534,
        5.027688326732448,
        5.027708352399556,
        5.027727901265067,
        5.027747926932174,
        5.028586382541931,
        5.029980788814738,
        5.0300003376802485,
        5.030019886545759,
        5.030039912212867,
        5.030059461078378,
        5.030079009943888,
        5.0300985588093985,
        5.030118584476507,
        5.030138133342017,
        5.030157682207528,
        5.030177231073038,
        5.030197256740146,
        5.030216805605656,
        5.030236354471167,
        5.030255903336677,
        5.030275452202187,
        5.030295477869296,
        5.030315026734806,
        5.030334575600317,
        5.030354124465827,
        5.030373673331337,
        5.030393222196848,
        5.030413247863956,
        5.030432796729467,
        5.030452345594977,
        5.030471894460487,
        5.030491443325998,
        5.030510992191508,
        5.030531017858616,
        5.030550566724126,
        5.0305701155896365,
        5.030589664455147,
        5.030609213320657,
        5.030628762186168,
        5.030648311051678,
        5.0306683367187865,
        5.030687885584297,
        5.030707434449807,
        5.030726983315318,
        5.030746532180828,
        5.030766081046338,
        5.030785629911849,
        5.030805178777359,
        5.030825204444468,
        5.030844753309978,
        5.030864302175488,
        5.030883851040999,
        5.030903399906509,
        5.0309229487720195,
        5.03094249763753,
        5.03096204650304,
        5.030981595368551,
        5.031001144234061,
        5.031020693099571,
        5.031040241965082,
        5.03106026763219,
        5.031079816497701,
        5.031099365363211,
        5.031118914228721,
        5.031138463094232,
        5.031158011959742,
        5.0311775608252525,
        5.031197109690763,
        5.031216658556273,
        5.031236207421784,
        5.031255756287294,
        5.031275305152804,
        5.031294854018315,
        5.031314402883825,
        5.031333951749335,
        5.031353500614846,
        5.031373049480356,
        5.0313925983458665,
        5.031412147211377,
        5.031431696076887,
        5.031451244942398,
        5.031470793807908,
        5.031490342673418,
        5.031509891538929,
        5.031529440404439,
        5.031548989269949,
        5.03156853813546,
        5.03158808700097,
        5.0316076358664805,
        5.031627184731991,
        5.031646733597501,
        5.031666282463012,
        5.031685831328522,
        5.031705380194032,
        5.031724929059543,
        5.031744477925053,
        5.0317640267905634,
        5.031783575656074,
        5.031802647719987,
        5.031822196585497,
        5.031841745451008,
        5.031861294316518,
        5.031880843182028,
        5.031900392047539,
        5.031919940913049,
        5.031939489778559,
        5.03195903864407,
        5.03197858750958,
        5.0319981363750905,
        5.032017685240601,
        5.032036757304513,
        5.032056306170023,
        5.032075855035534,
        5.032095403901044,
        5.0321149527665545,
        5.032134501632065,
        5.032154050497575,
        5.032173599363086,
        5.032192671426999,
        5.032212220292509,
        5.032231769158019,
        5.03225131802353,
        5.03227086688904,
        5.0322904157545505,
        5.032309964620061,
        5.032329036683973,
        5.032348585549484,
        5.032368134414995,
        5.032387683280505,
        5.032407232146015,
        5.032426781011526,
        5.032445853075438,
        5.032465401940948,
        5.032484950806459,
        5.032504499671969,
        5.032524048537479,
        5.032543120601392,
        5.032562669466903,
        5.032582218332413,
        5.0326017671979235,
        5.032621316063434,
        5.032640388127346,
        5.032659936992856,
        5.032679485858367,
        5.032699034723877,
        5.0327185835893875,
        5.032737655653301,
        5.032757204518811,
        5.032776753384321,
        5.032796302249832,
        5.032815374313744,
        5.032834923179254,
        5.0328544720447645,
        5.032874020910275,
        5.032893092974188,
        5.032912641839698,
        5.032932190705209,
        5.032951739570719,
        5.032970811634631,
        5.032990360500142,
        5.033009909365652,
        5.033028981429565,
        5.033048530295075,
        5.033068079160586,
        5.033087628026096,
        5.033106700090008,
        5.033126248955519,
        5.033145797821029,
        5.033164869884942,
        5.033184418750452,
        5.033203967615963,
        5.033223039679875,
        5.033242588545385,
        5.033262137410896,
        5.033281209474809,
        5.033300758340319,
        5.0333203072058295,
        5.033339379269742,
        5.033358928135252,
        5.033378477000762,
        5.033397549064675,
        5.033417097930186,
        5.033436646795696,
        5.033455718859608,
        5.033475267725119,
        5.033494816590629,
        5.033513888654542,
        5.0335334375200524,
        5.033552986385563,
        5.033572058449475,
        5.033591607314985,
        5.033610679378898,
        5.033630228244409,
        5.033649777109919,
        5.033668849173831,
        5.033688398039342,
        5.033707470103255,
        5.033727018968765,
        5.033746567834275,
        5.033765639898188,
        5.033785188763698,
        5.033804260827611,
        5.033823809693121,
        5.033843358558632,
        5.033862430622544,
        5.033881979488054,
        5.033901051551967,
        5.033920600417478,
        5.03393967248139,
        5.0339592213469,
        5.033978770212411,
        5.033997842276323,
        5.034017391141834,
        5.034036463205746,
        5.0340560120712565,
        5.034075084135169,
        5.034094633000679,
        5.034113705064592,
        5.0341332539301025,
        5.034152325994015,
        5.034171874859525,
        5.034190946923438,
        5.034210495788948,
        5.034229567852861,
        5.034249116718371,
        5.034268188782284,
        5.034287737647794,
        5.0343068097117065,
        5.034326358577217,
        5.03434543064113,
        5.03436497950664,
        5.0343840515705525,
        5.034403600436063,
        5.034422672499976,
        5.034442221365486,
        5.034461293429398,
        5.034480842294909,
        5.034499914358822,
        5.034519463224332,
        5.034538535288244,
        5.034557607352157,
        5.034577156217668,
        5.03459622828158,
        5.03461577714709,
        5.034634849211003,
        5.034654398076514,
        5.034673470140426,
        5.034693019005936,
        5.034712091069849,
        5.0347311631337615,
        5.034750711999272,
        5.034769784063184,
        5.034789332928694,
        5.034808404992607,
        5.03482747705652,
        5.03484702592203,
        5.034866097985943,
        5.034885646851453,
        5.0349047189153655,
        5.034923790979279,
        5.034943339844789,
        5.034962411908701,
        5.0349819607742115,
        5.0350010328381245,
        5.035020104902037,
        5.035039653767547,
        5.03505872583146,
        5.035077797895372,
        5.035097346760883,
        5.035116418824796,
        5.035135490888708,
        5.035155039754218,
        5.035174111818131,
        5.035193183882043,
        5.035212732747554,
        5.035231804811466,
        5.035250876875379,
        5.035270425740889,
        5.0352894978048015,
        5.035308569868715,
        5.035328118734225,
        5.035347190798137,
        5.03536626286205,
        5.0353858117275605,
        5.035404883791473,
        5.035423955855386,
        5.035443504720896,
        5.035462576784808,
        5.035481648848721,
        5.0355007209126335,
        5.035520269778144,
        5.035539341842057,
        5.035558413905969,
        5.035577485969882,
        5.0355970348353924,
        5.035616106899305,
        5.035635178963217,
        5.035654727828727,
        5.03567379989264,
        5.035692871956552,
        5.035711944020465,
        5.035731492885976,
        5.035750564949888,
        5.035769637013801,
        5.035788709077713,
        5.035807781141626,
        5.035827330007137,
        5.035846402071049,
        5.035865474134962,
        5.035884546198874,
        5.035904095064384,
        5.035923167128297,
        5.0359422391922095,
        5.035961311256122,
        5.035980383320035,
        5.035999932185545,
        5.036019004249457,
        5.03603807631337,
        5.0360571483772825,
        5.0360762204411955,
        5.036095769306706,
        5.036114841370618,
        5.036133913434531,
        5.036152985498443,
        5.036172057562356,
        5.0361911296262685,
        5.036210678491779,
        5.036229750555692,
        5.036248822619604,
        5.036267894683516,
        5.036286966747429,
        5.036306038811341,
        5.0363251108752545,
        5.036344659740765,
        5.036363731804677,
        5.03638280386859,
        5.036401875932502,
        5.036420947996415,
        5.036440020060327,
        5.0364590921242405,
        5.036478164188153,
        5.036497236252066,
        5.036516785117576,
        5.036535857181488,
        5.0365549292454,
        5.036574001309313,
        5.036593073373226,
        5.036612145437139,
        5.036631217501051,
        5.036650289564964,
        5.036669361628876,
        5.036688433692789,
        5.036707505756701,
        5.036727054622212,
        5.036746126686125,
        5.036765198750037,
        5.036784270813949,
        5.036803342877862,
        5.036822414941774,
        5.036841487005687,
        5.036860559069599,
        5.0368796311335124,
        5.036898703197425,
        5.036917775261338,
        5.03693684732525,
        5.036955919389163,
        5.036974991453075,
        5.036994063516988,
        5.0370131355809,
        5.037032207644812,
        5.0370512797087255,
        5.037070351772638,
        5.037089423836551,
        5.037108495900463,
        5.037127567964376,
        5.037146640028288,
        5.037165712092201,
        5.037184784156113,
        5.037203856220026,
        5.0372229282839385,
        5.037242000347851,
        5.037261072411764,
        5.037280144475676,
        5.037299216539589,
        5.037318288603501,
        5.037337360667414,
        5.037356432731326,
        5.037375504795239,
        5.0373945768591515,
        5.0374136489230645,
        5.037432720986977,
        5.037451793050889,
        5.037470388313204,
        5.037489460377117,
        5.037508532441029,
        5.037527604504942,
        5.037546676568854,
        5.037565748632767,
        5.037584820696679,
        5.037603892760592,
        5.037622964824505,
        5.037642036888417,
        5.03766110895233,
        5.037680181016242,
        5.037698776278557,
        5.03771784834247,
        5.037736920406382,
        5.037755992470295,
        5.037775064534207,
        5.03779413659812,
        5.037813208662032,
        5.0378322807259455,
        5.037850875988259,
        5.0378699480521725,
        5.037889020116085,
        5.037908092179998,
        5.03792716424391,
        5.037946236307823,
        5.037965308371735,
        5.03798390363405,
        5.038002975697962,
        5.038022047761875,
        5.038041119825787,
        5.0380601918897,
        5.0380792639536125,
        5.038097859215927,
        5.03811693127984,
        5.0381360033437526,
        5.038155075407666,
        5.038174147471578,
        5.038192742733893,
        5.038211814797805,
        5.038230886861718,
        5.03824995892563,
        5.038269030989543,
        5.038287626251858,
        5.03830669831577,
        5.038325770379683,
        5.038344842443595,
        5.038363914507507,
        5.038382509769822,
        5.038401581833735,
        5.0384206538976475,
        5.0384397259615605,
        5.038458321223875,
        5.0384773932877875,
        5.038496465351701,
        5.038515537415613,
        5.038534132677928,
        5.03855320474184,
        5.038572276805753,
        5.038591348869665,
        5.03860994413198,
        5.038629016195893,
        5.038648088259805,
        5.03866668352212,
        5.038685755586032,
        5.038704827649945,
        5.038723899713857,
        5.038742494976172,
        5.042024797175525,
        5.045875446879473,
        5.0458978565545705,
        5.045920266229667,
        5.045942675904764,
        5.045965085579862,
        5.045987495254959,
        5.046010381731654,
        5.046032791406752,
        5.046055201081849,
        5.046077610756946,
        5.046100020432044,
        5.046122430107141,
        5.0461448397822375,
        5.046167726258933,
        5.04619013593403,
        5.046212545609127,
        5.046234955284225,
        5.046257364959322,
        5.046279774634419,
        5.046302184309517,
        5.046324593984614,
        5.046347480461309,
        5.046369890136406,
        5.046392299811504,
        5.0464147094866005,
        5.046437119161698,
        5.046459528836795,
        5.046481938511892,
        5.04650434818699,
        5.046526757862087,
        5.046549167537185,
        5.046571577212282,
        5.046593986887379,
        5.046616873364074,
        5.0466392830391715,
        5.0466616927142685,
        5.046684102389365,
        5.046706512064463,
        5.04672892173956,
        5.046751331414658,
        5.046773741089755,
        5.046796150764852,
        5.04681856043995,
        5.0468409701150465,
        5.046863379790144,
        5.046885789465241,
        5.046908199140338,
        5.046930608815436,
        5.046953018490533,
        5.04697542816563,
        5.046997837840728,
        5.047020247515825,
        5.047042657190922,
        5.047065066866019,
        5.047087476541116,
        5.047109886216214,
        5.047132295891311,
        5.047154705566409,
        5.047177115241506,
        5.047199524916603,
        5.0472219345917,
        5.047244344266797,
        5.047266753941894,
        5.047289163616992,
        5.047311573292089,
        5.047333982967187,
        5.047356392642284,
        5.047378802317381,
        5.0474012119924785,
        5.047423621667575,
        5.047446031342673,
        5.047467964216172,
        5.04749037389127,
        5.047512783566367,
        5.0475351932414645,
        5.047557602916561,
        5.047580012591658,
        5.047602422266756,
        5.047624831941853,
        5.047647241616951,
        5.047669651292048,
        5.047692060967145,
        5.047713993840644,
        5.047736403515741,
        5.047758813190839,
        5.047781222865936,
        5.047803632541034,
        5.047826042216131,
        5.047848451891228,
        5.0478708615663255,
        5.047893271241422,
        5.047915204114922,
        5.047937613790019,
        5.047960023465117,
        5.047982433140214,
        5.0480048428153115,
        5.048027252490408,
        5.048049185363908,
        5.048071595039005,
        5.048094004714103,
        5.0481164143892,
        5.048138824064297,
        5.048161233739394,
        5.048183166612894,
        5.048205576287991,
        5.048227985963088,
        5.048250395638186,
        5.048272805313283,
        5.0482952149883795,
        5.048317147861879,
        5.048339557536977,
        5.048361967212074,
        5.048384376887171,
        5.048406786562269,
        5.048428719435768,
        5.048451129110865,
        5.048473538785962,
        5.04849594846106,
        5.0485178813345595,
        5.048540291009656,
        5.048562700684753,
        5.048585110359851,
        5.048607043233351,
        5.048629452908448,
        5.048651862583545,
        5.048674272258642,
        5.048696205132142,
        5.048718614807239,
        5.048741024482336,
        5.048763434157434,
        5.048785367030933,
        5.04880777670603,
        5.048830186381127,
        5.048852596056225,
        5.0488745289297245,
        5.0488969386048215,
        5.048919348279918,
        5.048941281153418,
        5.048963690828516,
        5.048986100503613,
        5.049008033377112,
        5.049030443052209,
        5.049052852727307,
        5.049074785600806,
        5.049097195275904,
        5.0491196049510005,
        5.049142014626098,
        5.049163947499597,
        5.049186357174695,
        5.049208766849792,
        5.049230699723291,
        5.049253109398388,
        5.049275042271888,
        5.049297451946986,
        5.049319861622083,
        5.049341794495582,
        5.049364204170679,
        5.049386613845777,
        5.049408546719276,
        5.049430956394374,
        5.0494533660694705,
        5.04947529894297,
        5.049497708618067,
        5.049519641491567,
        5.049542051166664,
        5.049564460841761,
        5.049586393715261,
        5.049608803390358,
        5.0496307362638575,
        5.049653145938954,
        5.049675555614052,
        5.049697488487552,
        5.049719898162649,
        5.049741831036148,
        5.049764240711245,
        5.049786173584745,
        5.049808583259842,
        5.04983099293494,
        5.049852925808439,
        5.049875335483536,
        5.049897268357036,
        5.049919678032133,
        5.049941610905632,
        5.049964020580729,
        5.049985953454229,
        5.050008363129327,
        5.050030772804424,
        5.050052705677923,
        5.05007511535302,
        5.05009704822652,
        5.0501194579016175,
        5.050141390775116,
        5.050163800450214,
        5.050185733323714,
        5.050208142998811,
        5.05023007587231,
        5.050252485547407,
        5.050274418420907,
        5.050296828096004,
        5.050318760969503,
        5.050341170644601,
        5.0503631035181,
        5.050385513193198,
        5.050407446066697,
        5.050429855741794,
        5.050451788615294,
        5.050473721488793,
        5.05049613116389,
        5.05051806403739,
        5.050540473712487,
        5.050562406585986,
        5.050584816261083,
        5.050606749134583,
        5.050629158809681,
        5.05065109168318,
        5.050673024556679,
        5.050695434231777,
        5.0507173671052765,
        5.0507397767803734,
        5.050761709653873,
        5.05078411932897,
        5.05080605220247,
        5.050827985075969,
        5.050850394751066,
        5.050872327624566,
        5.050894737299663,
        5.050916670173162,
        5.050938603046662,
        5.050961012721759,
        5.050982945595258,
        5.051005355270356,
        5.051027288143855,
        5.0510492210173545,
        5.051071630692452,
        5.051093563565952,
        5.051115496439451,
        5.0511379061145485,
        5.051159838988048,
        5.051181771861547,
        5.051204181536645,
        5.051226114410144,
        5.051248524085241,
        5.051270456958741,
        5.05129238983224,
        5.051314799507337,
        5.051336732380837,
        5.0513586652543365,
        5.051380598127835,
        5.051403007802933,
        5.051424940676433,
        5.051446873549932,
        5.051469283225029,
        5.051491216098529,
        5.051513148972028,
        5.051535558647125,
        5.051557491520625,
        5.0515794243941246,
        5.0516018340692215,
        5.051623766942721,
        5.051645699816221,
        5.051667632689719,
        5.051690042364817,
        5.051711975238317,
        5.051733908111816,
        5.051755840985315,
        5.051778250660413,
        5.051800183533913,
        5.051822116407411,
        5.051844049280911,
        5.051866458956009,
        5.051888391829507,
        5.051910324703007,
        5.051932257576507,
        5.051954667251604,
        5.051976600125103,
        5.051998532998603,
        5.052020465872102,
        5.052042398745602,
        5.052064808420699,
        5.0520867412941985,
        5.052108674167698,
        5.052130607041198,
        5.052153016716295,
        5.052174949589794,
        5.052196882463294,
        5.052218815336793,
        5.052240748210292,
        5.052262681083792,
        5.05228509075889,
        5.052307023632388,
        5.052328956505888,
        5.052350889379388,
        5.052372822252887,
        5.052394755126387,
        5.052417164801484,
        5.052439097674983,
        5.052461030548483,
        5.0524829634219826,
        5.052504896295481,
        5.052526829168981,
        5.052549238844079,
        5.052571171717577,
        5.052593104591077,
        5.052615037464577,
        5.052636970338076,
        5.052658903211576,
        5.0526808360850755,
        5.052702768958574,
        5.052724701832074,
        5.052747111507172,
        5.05276904438067,
        5.05279097725417,
        5.0528129101276695,
        5.052834843001169,
        5.052856775874669,
        5.052878708748168,
        5.052900641621667,
        5.052922574495167,
        5.052944507368666,
        5.052966440242166,
        5.0529883731156655,
        5.053010782790762,
        5.053032715664262,
        5.053054648537762,
        5.053076581411261,
        5.05309851428476,
        5.05312044715826,
        5.053142380031759,
        5.053164312905259,
        5.053186245778758,
        5.053208178652257,
        5.053230111525757,
        5.053252044399256,
        5.053273977272756,
        5.053295910146256,
        5.053317843019755,
        5.053339775893254,
        5.0533617087667535,
        5.053383641640253,
        5.053405574513753,
        5.053427507387252,
        5.053449440260752,
        5.053471373134251,
        5.05349330600775,
        5.05351523888125,
        5.0535371717547495,
        5.053559104628249,
        5.053581037501748,
        5.053602970375247,
        5.053624903248747,
        5.053646836122247,
        5.053668768995746,
        5.053690701869246,
        5.053712634742745,
        5.053734567616244,
        5.053756500489744,
        5.053778433363243,
        5.053800366236743,
        5.053821822308644,
        5.053843755182144,
        5.053865688055644,
        5.053887620929142,
        5.053909553802642,
        5.053931486676142,
        5.053953419549641,
        5.053975352423141,
        5.05399728529664,
        5.054019218170139,
        5.054041151043639,
        5.054062607115541,
        5.05408453998904,
        5.054106472862539,
        5.054128405736039,
        5.0541503386095386,
        5.054172271483038,
        5.054194204356537,
        5.0542161372300365,
        5.054238070103536,
        5.0542595261754375,
        5.054281459048937,
        5.054303391922437,
        5.054325324795936,
        5.054347257669436,
        5.0543691905429355,
        5.054391123416434,
        5.0544125794883366,
        5.054434512361835,
        5.054456445235335,
        5.0544783781088345,
        5.054500310982334,
        5.054522243855834,
        5.054543699927735,
        5.054565632801235,
        5.054587565674734,
        5.054609498548233,
        5.054631431421733,
        5.054652887493635,
        5.054674820367134,
        5.054696753240633,
        5.054718686114133,
        5.0547406189876325,
        5.054762075059534,
        5.0547840079330335,
        5.054805940806533,
        5.054827873680033,
        5.054849329751934,
        5.054871262625434,
        5.054893195498933,
        5.054915128372432,
        5.054936584444334,
        5.054958517317833,
        5.054980450191333,
        5.055002383064832,
        5.055023839136734,
        5.055045772010233,
        5.055067704883733,
        5.0550896377572325,
        5.055111093829134,
        5.0551330267026335,
        5.055154959576133,
        5.055176892449633,
        5.055198348521534,
        5.055220281395034,
        5.055242214268533,
        5.055263670340435,
        5.055285603213934,
        5.055307536087433,
        5.055328992159335,
        5.055350925032835,
        5.055372857906334,
        5.055394790779833,
        5.055416246851735,
        5.055438179725234,
        5.055460112598734,
        5.055481568670635,
        5.055503501544135,
        5.055525434417635,
        5.055546890489536,
        5.055568823363036,
        5.055590756236535,
        5.055612212308437,
        5.055634145181936,
        5.055655601253838,
        5.055677534127337,
        5.055699467000837,
        5.055720923072738,
        5.055742855946238,
        5.0557647888197375,
        5.055786244891639,
        5.0558081777651385,
        5.05582963383704,
        5.0558515667105395,
        5.055873499584039,
        5.0558949556559405,
        5.05591688852944,
        5.05593882140294,
        5.055960277474841,
        5.055982210348341,
        5.056003666420242,
        5.056025599293742,
        5.056047055365643,
        5.056068988239143,
        5.056090921112642,
        5.056112377184544,
        5.056134310058043,
        5.056155766129945,
        5.056177699003444,
        5.056199155075346,
        5.056221087948845,
        5.056242544020747,
        5.056264476894246,
        5.056286409767746,
        5.056307865839647,
        5.056329798713147,
        5.056351254785048,
        5.056373187658548,
        5.0563946437304494,
        5.056416576603949,
        5.056438032675851,
        5.05645996554935,
        5.056481421621252,
        5.056503354494751,
        5.056524810566653,
        5.056546743440153,
        5.056568199512054,
        5.056590132385554,
        5.056611588457455,
        5.056633521330955,
        5.056654977402856,
        5.056676910276356,
        5.056698366348257,
        5.056720299221757,
        5.056741755293658,
        5.056763688167158,
        5.0567851442390594,
        5.056806600310962,
        5.0568285331844605,
        5.056849989256363,
        5.0568719221298615,
        5.056893378201764,
        5.056915311075263,
        5.056936767147165,
        5.056958700020664,
        5.056980156092566,
        5.057001612164467,
        5.057023545037967,
        5.057045001109868,
        5.057066933983368,
        5.057088390055269,
        5.057110322928769,
        5.05713177900067,
        5.0571532350725725,
        5.057175167946072,
        5.0571966240179735,
        5.057218556891473,
        5.0572400129633746,
        5.057261469035276,
        5.057283401908776,
        5.057304857980677,
        5.057326314052579,
        5.057348246926078,
        5.05736970299798,
        5.057391635871479,
        5.057413091943381,
        5.057434548015283,
        5.057456480888782,
        5.057477936960684,
        5.057499393032585,
        5.057521325906085,
        5.057542781977986,
        5.057564238049888,
        5.057586170923387,
        5.057607626995289,
        5.057629083067191,
        5.05765101594069,
        5.057672472012592,
        5.057693928084493,
        5.057715860957993,
        5.057737317029894,
        5.057758773101797,
        5.057780229173698,
        5.057802162047198,
        5.057823618119099,
        5.057845074191,
        5.0578670070645,
        5.057888463136401,
        5.057909919208304,
        5.057931375280205,
        5.057953308153705,
        5.057974764225606,
        5.0579962202975075,
        5.058018153171007,
        5.0580396092429085,
        5.058061065314811,
        5.058082521386712,
        5.058104454260212,
        5.058125910332113,
        5.058147366404015,
        5.058168822475917,
        5.058190278547818,
        5.058212211421318,
        5.058233667493219,
        5.058255123565121,
        5.058276579637022,
        5.058298512510522,
        5.058319968582424,
        5.0583414246543255,
        5.058362880726227,
        5.058384336798128,
        5.058406269671628,
        5.058427725743529,
        5.058449181815432,
        5.058470637887333,
        5.058492093959234,
        5.058514026832734,
        5.058535482904635,
        5.058556938976538,
        5.058578395048439,
        5.0585998511203405,
        5.058621307192242,
        5.0586432400657415,
        5.058664696137643,
        5.058686152209545,
        5.058707608281447,
        5.058729064353348,
        5.05875052042525,
        5.058771976497152,
        5.058793909370651,
        5.058815365442553,
        5.058836821514454,
        5.0588582775863555,
        5.058879733658258,
        5.058901189730159,
        5.058922645802061,
        5.058944101873962,
        5.058966034747462,
        5.058987490819364,
        5.059008946891265,
        5.059030402963167,
        5.059051859035068,
        5.0590733151069704,
        5.059094771178872,
        5.059116227250773,
        5.059137683322675,
        5.059159139394577,
        5.059180595466478,
        5.059202528339978,
        5.059223984411879,
        5.059245440483781,
        5.059266896555683,
        5.0592883526275845,
        5.059309808699486,
        5.059331264771387,
        5.05935272084329,
        5.059374176915191,
        5.059395632987092,
        5.059417089058994,
        5.059438545130896,
        5.0594600012027975,
        5.059481457274699,
        5.0595029133466,
        5.059524369418503,
        5.059545825490404,
        5.059567281562305,
        5.060081750486347,
        5.0601032065582485,
        5.060124662630151,
        5.060146118702052,
        5.060167574773954,
        5.060189030845855,
        5.060210486917757,
        5.060231942989659,
        5.06025339906156,
        5.0602748551334615,
        5.060295834403766,
        5.060317290475667,
        5.060338746547569,
        5.060360202619471,
        5.060381658691372,
        5.0604031147632735,
        5.060424570835176,
        5.060446026907077,
        5.060467006177381,
        5.060488462249283,
        5.060509918321184,
        5.0605313743930855,
        5.060552830464988,
        5.060574286536889,
        5.060595742608791,
        5.060616721879095,
        5.060638177950996,
        5.0606596340228975,
        5.0606810900948,
        5.060702546166701,
        5.060724002238603,
        5.060744981508907,
        5.060766437580808,
        5.0607878936527095,
        5.060809349724612,
        5.060830805796513,
        5.060851785066817,
        5.060873241138719,
        5.06089469721062,
        5.060916153282522,
        5.060937609354424,
        5.060958588624727,
        5.060980044696629,
        5.061001500768531,
        5.061022956840432,
        5.061043936110736,
        5.061065392182638,
        5.06108684825454,
        5.061108304326441,
        5.0611292835967445,
        5.061150739668647,
        5.061172195740548,
        5.06119365181245,
        5.061214631082754,
        5.061236087154655,
        5.0612575432265565,
        5.061278999298459,
        5.061299978568762,
        5.061321434640664,
        5.061342890712566,
        5.061364346784467,
        5.061385326054771,
        5.061406782126673,
        5.061428238198574,
        5.061449217468878,
        5.0614706735407795,
        5.061492129612682,
        5.061513108882985,
        5.061534564954887,
        5.061556021026789,
        5.06157747709869,
        5.061598456368994,
        5.061619912440896,
        5.061641368512797,
        5.061662347783101,
        5.0616838038550025,
        5.061705259926905,
        5.061726239197208,
        5.06174769526911,
        5.061769151341012,
        5.061790130611316,
        5.061811586683217,
        5.061832565953521,
        5.061854022025423,
        5.061875478097324,
        5.061896457367628,
        5.06191791343953,
        5.061939369511431,
        5.061960348781735,
        5.0619818048536365,
        5.062002784123941,
        5.062024240195842,
        5.062045696267744,
        5.0620666755380475,
        5.06208813160995,
        5.062109110880253,
        5.062130566952154,
        5.062152023024057,
        5.06217300229436,
        5.062194458366262,
        5.062215437636565,
        5.062236893708468,
        5.062258349780369,
        5.062279329050673,
        5.0623007851225745,
        5.062321764392879,
        5.06234322046478,
        5.062364199735084,
        5.0623856558069855,
        5.06240663507729,
        5.062428091149191,
        5.062449070419495,
        5.0624705264913965,
        5.062491982563298,
        5.062512961833602,
        5.062534417905503,
        5.0625553971758075,
        5.062576853247709,
        5.062597832518013,
        5.062619288589914,
        5.0626402678602185,
        5.06266172393212,
        5.062682703202424,
        5.062704159274325,
        5.0627251385446295,
        5.062746594616531,
        5.062767573886835,
        5.062789029958736,
        5.0628100092290405,
        5.062831465300942,
        5.062852444571245,
        5.062873900643147,
        5.0628948799134506,
        5.062915859183755,
        5.062937315255656,
        5.06295829452596,
        5.0629797505978615,
        5.063000729868166,
        5.063022185940067,
        5.063043165210371,
        5.0630646212822725,
        5.063085600552577,
        5.063106579822881,
        5.063128035894782,
        5.063149015165086,
        5.063170471236988,
        5.063191450507292,
        5.063212906579193,
        5.063233885849497,
        5.0632548651198,
        5.063276321191703,
        5.063297300462006,
        5.063318756533908,
        5.063339735804211,
        5.0633607150745155,
        5.063382171146417,
        5.063403150416721,
        5.063424129687025,
        5.0634455857589264,
        5.0634665650292305,
        5.063488021101132,
        5.063509000371436,
        5.063529979641739,
        5.0635514357136415,
        5.063572414983945,
        5.063593394254249,
        5.06361485032615,
        5.063635829596454,
        5.063656808866758,
        5.06367826493866,
        5.063699244208964,
        5.063720223479267,
        5.063741679551169,
        5.063762658821473,
        5.063783638091777,
        5.063805094163678,
        5.063826073433982,
        5.063847052704286,
        5.063868508776188,
        5.063889488046492,
        5.063910467316795,
        5.063931923388697,
        5.063952902659,
        5.0639738819293045,
        5.063994861199609,
        5.06401631727151,
        5.064037296541814,
        5.064058275812117,
        5.064079255082421,
        5.064100711154323,
        5.064121690424627,
        5.064142669694931,
        5.064164125766832,
        5.0641851050371365,
        5.06420608430744,
        5.064227063577744,
        5.064248042848048,
        5.064269498919949,
        5.064290478190253,
        5.0643114574605566,
        5.064332436730861,
        5.064353892802762,
        5.064374872073066,
        5.06439585134337,
        5.064416830613674,
        5.064438286685576,
        5.064459265955879,
        5.064480245226183,
        5.064501224496487,
        5.064522203766791,
        5.064543659838693,
        5.064564639108997,
        5.0645856183793,
        5.064606597649604,
        5.064627576919908,
        5.064648556190211,
        5.0646700122621136,
        5.064690991532417,
        5.064711970802721,
        5.064732950073025,
        5.064753929343328,
        5.064774908613632,
        5.064796364685534,
        5.064817343955838,
        5.064838323226142,
        5.064859302496446,
        5.064880281766749,
        5.064901261037053,
        5.064922240307357,
        5.064943696379259,
        5.064964675649563,
        5.064985654919866,
        5.06500663419017,
        5.065027613460474,
        5.065048592730777,
        5.065069572001081,
        5.0650905512713855,
        5.06511153054169,
        5.065132509811993,
        5.065153965883894,
        5.065174945154198,
        5.065195924424502,
        5.0652169036948065,
        5.06523788296511,
        5.065258862235414,
        5.065279841505718,
        5.065300820776021,
        5.065321800046325,
        5.065342779316629,
        5.065363758586933,
        5.0653847378572365,
        5.065405717127541,
        5.065426696397845,
        5.065447675668148,
        5.06546913174005,
        5.065490111010353,
        5.0655110902806575,
        5.065532069550962,
        5.065553048821265,
        5.065574028091569,
        5.065595007361873,
        5.065615986632177,
        5.06563696590248,
        5.065657945172784,
        5.065678924443088,
        5.065699903713392,
        5.065720882983696,
        5.065741862254,
        5.065762841524303,
        5.065783820794607,
        5.065804800064911,
        5.065825779335215,
        5.0658467586055185,
        5.065867737875823,
        5.065888717146127,
        5.06590969641643,
        5.065930675686734,
        5.06595117815544,
        5.065972157425744,
        5.065993136696048,
        5.066014115966351,
        5.066035095236655,
        5.066056074506959,
        5.066077053777263,
        5.066098033047567,
        5.066119012317871,
        5.066139991588175,
        5.066160970858478,
        5.066181950128782,
        5.066202929399086,
        5.066223908669389,
        5.0662448879396935,
        5.066265390408399,
        5.0662863696787035,
        5.066307348949008,
        5.066328328219311,
        5.066349307489615,
        5.066370286759919,
        5.066391266030222,
        5.066412245300526,
        5.06643322457083,
        5.066453727039536,
        5.06647470630984,
        5.0664956855801435,
        5.066516664850448,
        5.066537644120752,
        5.066558623391055,
        5.066579602661359,
        5.066600105130065,
        5.066621084400369,
        5.066642063670673,
        5.066663042940976,
        5.06668402221128,
        5.066705001481584,
        5.06672550395029,
        5.066746483220594,
        5.066767462490898,
        5.066788441761202,
        5.066809421031506,
        5.066830400301809,
        5.066850902770516,
        5.066871882040819,
        5.066892861311123,
        5.066913840581427,
        5.06693481985173,
        5.066955322320437,
        5.06697630159074,
        5.066997280861044,
        5.0670182601313485,
        5.067038762600054,
        5.0670597418703585,
        5.067080721140662,
        5.067101700410966,
        5.06712267968127,
        5.067143182149976,
        5.067164161420279,
        5.067185140690583,
        5.067206119960887,
        5.067226622429593,
        5.067247601699897,
        5.0672685809702,
        5.067289560240504,
        5.06731006270921,
        5.067331041979514,
        5.067352021249818,
        5.067372523718524,
        5.067393502988828,
        5.067414482259132,
        5.067435461529436,
        5.067455963998142,
        5.067476943268446,
        5.067497922538749,
        5.067518425007456,
        5.067539404277759,
        5.067560383548063,
        5.067580886016769,
        5.067601865287073,
        5.067622844557377,
        5.067643347026083,
        5.067664326296386,
        5.06768530556669,
        5.067705808035396,
        5.0677267873057,
        5.067747766576004,
        5.06776826904471,
        5.067789248315014,
        5.067810227585317,
        5.067830730054023,
        5.067851709324327,
        5.0678726885946315,
        5.067893191063337,
        5.067914170333641,
        5.067935149603945,
        5.0679556520726505,
        5.067976631342955,
        5.0679971338116605,
        5.068018113081965,
        5.068039092352269,
        5.068059594820975,
        5.068080574091279,
        5.0681010765599845,
        5.068122055830288,
        5.068143035100592,
        5.068163537569298,
        5.068184516839602,
        5.068205019308308,
        5.068225998578612,
        5.068246977848915,
        5.068267480317622,
        5.068288459587925,
        5.068308962056631,
        5.068329941326935,
        5.068350443795641,
        5.068371423065945,
        5.068391925534651,
        5.068412904804955,
        5.068433884075259,
        5.068454386543965,
        5.068475365814268,
        5.068495868282975,
        5.068516847553278,
        5.068537350021984,
        5.068558329292288,
        5.068578831760994,
        5.068599811031298,
        5.068620313500004,
        5.068641292770308,
        5.068661795239014,
        5.068682774509318,
        5.068703276978024,
        5.068724256248327,
        5.068744758717034,
        5.068765737987337,
        5.068786240456043,
        5.068807219726347,
        5.068827722195053,
        5.068848701465357,
        5.068869203934063,
        5.068890183204367,
        5.068910685673073,
        5.068931188141779,
        5.068952167412083,
        5.068972669880789,
        5.068993649151093,
        5.069014151619799,
        5.069035130890103,
        5.069055633358809,
        5.069076612629112,
        5.069097115097819,
        5.0691176175665245,
        5.069138596836828,
        5.0691590993055335,
        5.069180078575838,
        5.0692005810445435,
        5.069221560314848,
        5.0692420627835535,
        5.069262565252259,
        5.0692835445225635,
        5.069304046991269,
        5.069325026261573,
        5.069345528730279,
        5.069366031198985,
        5.069387010469289,
        5.069407512937995,
        5.069428015406701,
        5.069448994677005,
        5.069469497145711,
        5.069490476416015,
        5.069510978884721,
        5.069531481353427,
        5.069552460623731,
        5.069572963092437,
        5.069593465561143,
        5.069614444831447,
        5.069634947300153,
        5.069655449768859,
        5.069676429039163,
        5.069696931507869,
        5.0697174339765745,
        5.069738413246879,
        5.0697589157155845,
        5.06977941818429,
        5.069800397454594,
        5.0698208999233,
        5.069841402392006,
        5.069861904860712,
        5.069882884131016,
        5.069903386599722,
        5.069923889068428,
        5.069944868338732,
        5.069965370807438,
        5.069985873276144,
        5.07000637574485,
        5.070027355015154,
        5.07004785748386,
        5.0700683599525656,
        5.07008933922287,
        5.0701098416915755,
        5.070130344160281,
        5.070150846628987,
        5.070171825899291,
        5.070192328367997,
        5.070212830836703,
        5.070233333305409,
        5.070253835774116,
        5.070274815044419,
        5.070295317513125,
        5.070315819981832,
        5.070336322450538,
        5.070357301720841,
        5.0703778041895475,
        5.070398306658253,
        5.070418809126959,
        5.070439311595665,
        5.070460290865969,
        5.070480793334675,
        5.070501295803381,
        5.070521798272087,
        5.070542300740793,
        5.070563280011097,
        5.070583782479803,
        5.070604284948509,
        5.070624787417215,
        5.0706452898859204,
        5.070665792354627,
        5.07068677162493,
        5.070707274093636,
        5.070727776562343,
        5.070748279031049,
        5.070768781499755,
        5.070789283968461,
        5.070809786437167,
        5.070830765707471,
        5.070851268176177,
        5.0708717706448825,
        5.070892273113588,
        5.070912775582294,
        5.070933278051001,
        5.070953780519707,
        5.070974282988413,
        5.070995262258717,
        5.071015764727423,
        5.071036267196129,
        5.0710567696648345,
        5.07107727213354,
        5.071097774602246,
        5.071118277070952,
        5.071138779539659,
        5.071159282008365,
        5.071179784477071,
        5.071200286945777,
        5.071221266216081,
        5.071241768684787,
        5.0712622711534925,
        5.071282773622198,
        5.071303276090904,
        5.07132377855961,
        5.071344281028317,
        5.071364783497023,
        5.071385285965729,
        5.071405788434435,
        5.0714262909031405,
        5.071446793371846,
        5.071467295840552,
        5.071487798309259,
        5.071508300777965,
        5.071528803246671,
        5.071549305715377,
        5.0715698081840825,
        5.071590310652788,
        5.071610813121494,
        5.071631315590201,
        5.071651818058907,
        5.071672320527613,
        5.071692822996319,
        5.071713325465025,
        5.0717338279337305,
        5.071754330402436,
        5.071774832871142,
        5.071795335339849,
        5.071815837808555,
        5.071836340277261,
        5.071856842745967,
        5.071877345214673,
        5.0718978476833785,
        5.071918350152084,
        5.071938852620791,
        5.071959355089497,
        5.071979857558203,
        5.072000360026909,
        5.072020385694017,
        5.072040888162723,
        5.072061390631429,
        5.072081893100135,
        5.072102395568841,
        5.072122898037547,
        5.072143400506253,
        5.0721639029749594,
        5.072184405443665,
        5.072204907912371,
        5.072225410381077,
        5.072245912849783,
        5.072265938516892,
        5.0722864409855974,
        5.072306943454303,
        5.072327445923009,
        5.072347948391715,
        5.072368450860421,
        5.072388953329128,
        5.072409455797834,
        5.072429481464941,
        5.072449983933647,
        5.072470486402354,
        5.07249098887106,
        5.072511491339766,
        5.072531993808472,
        5.07255201947558,
        5.072572521944286,
        5.072593024412992,
        5.072613526881698,
        5.072634029350404,
        5.07265453181911,
        5.072674557486218,
        5.072695059954924,
        5.07271556242363,
        5.072736064892336,
        5.072756567361042,
        5.0727770698297485,
        5.072797095496856,
        5.072817597965562,
        5.072838100434268,
        5.072858602902975,
        5.072878628570082,
        5.072899131038788,
        5.072919633507494,
        5.072940135976201,
        5.072960638444907,
        5.0729806641120145,
        5.07300116658072,
        5.073021669049427,
        5.073042171518133,
        5.073062197185241,
        5.073082699653947,
        5.073103202122653,
        5.073123704591359,
        5.073143730258467,
        5.073164232727173,
        5.07318473519588,
        5.0732052376645855,
        5.073225263331693,
        5.0732457658004,
        5.073266268269106,
        5.0732862939362136,
        5.073306796404919,
        5.073327298873626,
        5.073347801342332,
        5.07336782700944,
        5.073388329478146,
        5.073408831946852,
        5.07342885761396,
        5.073449360082666,
        5.073469862551372,
        5.0734898882184805,
        5.073510390687186,
        5.073530893155892,
        5.073550918823001,
        5.073571421291707,
        5.073591923760413,
        5.073611949427521,
        5.073632451896227,
        5.073652954364933,
        5.0736729800320415,
        5.073693482500747,
        5.073713984969453,
        5.073734010636561,
        5.073754513105268,
        5.073775015573974,
        5.073795041241081,
        5.073815543709787,
        5.073835569376896,
        5.073856071845602,
        5.0738765743143075,
        5.073896599981416,
        5.073917102450122,
        5.0739371281172305,
        5.073957630585936,
        5.073978133054642,
        5.07399815872175,
        5.074018661190457,
        5.074038686857564,
        5.07405918932627,
        5.074079691794976,
        5.074099717462085,
        5.074120219930791,
        5.074140245597899,
        5.074160748066605,
        5.074180773733713,
        5.07420127620242,
        5.0742217786711254,
        5.074241804338233,
        5.074262306806939,
        5.074282332474048,
        5.0743028349427535,
        5.074322860609862,
        5.074343363078568,
        5.074363388745676,
        5.074383891214382,
        5.07440391688149,
        5.074424419350196,
        5.0744444450173045,
        5.07446494748601,
        5.074484973153119,
        5.074505475621825,
        5.0745255012889325,
        5.074546003757639,
        5.074566029424747,
        5.074586531893453,
        5.0746065575605614,
        5.074627060029267,
        5.074647085696376,
        5.074667588165082,
        5.0746876138321895,
        5.074708116300895,
        5.074728141968004,
        5.07474864443671,
        5.074768670103818,
        5.074789172572524,
        5.074809198239632,
        5.0748292239067405,
        5.074849726375446,
        5.074869752042555,
        5.074890254511261,
        5.0749102801783685,
        5.074930782647075,
        5.074950808314183,
        5.074971310782889,
        5.0749913364499974,
        5.075011362117105,
        5.075031864585812,
        5.07505189025292,
        5.0750723927216255,
        5.075092418388734,
        5.075112444055842,
        5.0751329465245485,
        5.075152972191656,
        5.075173474660362,
        5.075193500327471,
        5.075213525994579,
        5.075234028463285,
        5.075254054130393,
        5.075274079797501,
        5.075294582266207,
        5.075314607933316,
        5.075335110402022,
        5.075355136069129,
        5.075375161736238,
        5.075395664204944,
        5.075415689872052,
        5.07543571553916,
        5.075456218007866,
        5.0754762436749745,
        5.075496269342082,
        5.075516771810789,
        5.075536797477897,
        5.075556823145005,
        5.075577325613711,
        5.075597351280819,
        5.075617376947927,
        5.075637879416633,
        5.075657905083742,
        5.0756779307508495,
        5.075697956417958,
        5.075718458886664,
        5.0757384845537725,
        5.07575851022088,
        5.075779012689586,
        5.075799038356695,
        5.075819064023803,
        5.075839089690911,
        5.075859592159617,
        5.075879617826725,
        5.075899643493833,
        5.075919669160942,
        5.0759401716296475,
        5.075960197296756,
        5.075980222963864,
        5.076000248630972,
        5.076020751099678,
        5.076040776766787,
        5.0760608024338945,
        5.076080828101003,
        5.076101330569709,
        5.076121356236817,
        5.076141381903925,
        5.076161407571034,
        5.07618191003974,
        5.076201935706847,
        5.076221961373956,
        5.076241987041064,
        5.076262012708172,
        5.076282515176878,
        5.076302540843987,
        5.076322566511094,
        5.076342592178203,
        5.076362617845311,
        5.076382643512419,
        5.076403145981125,
        5.0764231716482335,
        5.076443197315341,
        5.07646322298245,
        5.076483248649558,
        5.076503274316666,
        5.076523776785372,
        5.0765438024524805,
        5.076563828119588,
        5.076583853786697,
        5.076603879453805,
        5.076623905120913,
        5.076643930788022,
        5.0766644332567274,
        5.076684458923836,
        5.076704484590944,
        5.076724510258052,
        5.07674453592516,
        5.0767645615922685,
        5.076784587259376,
        5.076804612926485,
        5.076824638593593,
        5.076845141062299,
        5.076865166729407,
        5.0768851923965155,
        5.076905218063623,
        5.076925243730732,
        5.07694526939784,
        5.076965295064948,
        5.0769853207320566,
        5.077005346399164,
        5.077025372066273,
        5.077045397733381,
        5.077065423400489,
        5.077085449067598,
        5.0771059515363035,
        5.077125977203411,
        5.07714600287052,
        5.077166028537628,
        5.077186054204736,
        5.077206079871845,
        5.077226105538952,
        5.077246131206061,
        5.0772661568731685,
        5.077286182540277,
        5.077306208207386,
        5.077326233874493,
        5.077346259541602,
        5.07736628520871,
        5.077386310875818,
        5.077406336542927,
        5.077426362210034,
        5.077446387877143,
        5.077466413544251,
        5.077486439211359,
        5.077506464878467,
        5.0775264905455755,
        5.077546516212684,
        5.077566541879792,
        5.0775865675469,
        5.077606593214008,
        5.0776266188811165,
        5.077646644548224,
        5.077666670215333,
        5.077686219080843,
        5.077706244747952,
        5.077726270415059,
        5.077746296082168,
        5.077766321749276,
        5.077786347416384,
        5.077806373083493,
        5.0778263987506005,
        5.077846424417709,
        5.077866450084817,
        5.077886475751925,
        5.077906501419033,
        5.077926527086142,
        5.07794655275325,
        5.0779661016187605,
        5.077986127285868,
        5.078006152952977,
        5.078026178620084,
        5.078046204287193,
        5.078066229954302,
        5.078086255621409,
        5.078106281288518,
        5.078125830154028,
        5.078145855821136,
        5.078165881488244,
        5.078185907155352,
        5.078205932822461,
        5.078225958489569,
        5.078245984156677,
        5.078265533022187,
        5.078285558689296,
        5.078305584356404,
        5.078325610023512,
        5.078345635690621,
        5.078365661357728,
        5.078385687024837,
        5.078405235890347,
        5.078425261557455,
        5.078445287224564,
        5.078465312891671,
        5.07848533855878,
        5.07850488742429,
        5.078524913091399,
        5.078544938758506,
        5.078564964425615,
        5.078584990092723,
        5.078604538958233,
        5.078624564625342,
        5.07864459029245,
        5.078664615959558,
        5.078684164825068,
        5.078704190492177,
        5.0787242161592845,
        5.078744241826393,
        5.078764267493501,
        5.078783816359011,
        5.07880384202612,
        5.078823867693228,
        5.078843893360336,
        5.078863442225846,
        5.078883467892955,
        5.0789034935600625,
        5.078923519227171,
        5.0789430680926815,
        5.07896309375979,
        5.078983119426898,
        5.079002668292408,
        5.079022693959517,
        5.079042719626624,
        5.079062745293733,
        5.079082294159243,
        5.079102319826352,
        5.0791223454934595,
        5.07914189435897,
        5.0791619200260785,
        5.079181945693186,
        5.0792014945586965,
        5.079221520225805,
        5.079241545892913,
        5.079261094758423,
        5.079281120425532,
        5.07930114609264,
        5.079320694958151,
        5.079340720625258,
        5.079360746292367,
        5.079380295157877,
        5.079400320824985,
        5.0794203464920935,
        5.079439895357604,
        5.079459921024712,
        5.07947994669182,
        5.0794994955573305,
        5.079519521224439,
        5.079539070089949,
        5.079559095757057,
        5.079579121424166,
        5.079598670289676,
        5.079618695956785,
        5.079638721623892,
        5.079658270489403,
        5.079678296156511,
        5.079697845022022,
        5.079717870689129,
        5.07973741955464,
        5.079757445221748,
        5.079777470888857,
        5.079797019754367,
        5.079817045421475,
        5.079836594286985,
        5.079856619954094,
        5.079876168819604,
        5.079896194486712,
        5.07991622015382,
        5.079935769019331,
        5.079955794686438,
        5.07997534355195,
        5.079995369219057,
        5.080014918084568,
        5.080034943751676,
        5.080054492617187,
        5.080074518284294,
        5.080094067149805,
        5.080114092816913,
        5.080133641682424,
        5.080153667349531,
        5.08017369301664,
        5.08019324188215,
        5.080213267549259,
        5.080232816414769,
        5.080252842081877,
        5.080272390947387,
        5.080291939812898,
        5.080311965480006,
        5.0803315143455166,
        5.080351540012624,
        5.080371088878135,
        5.080391114545243,
        5.0804106634107535,
        5.080430689077862,
        5.08047026361048,
        5.0805689615412275,
        5.080588510406739,
        5.080608536073846,
        5.083214733607499,
        5.086651519524544,
        5.0866710683900545,
        5.086766905511214,
        5.086805526440638,
        5.08682459850455,
        5.08684414737006,
        5.086863219433973,
        5.0868822914978855,
        5.086901363561799,
        5.086920912427309,
        5.086939984491221,
        5.086959056555134,
        5.0869786054206445,
        5.086997677484557,
        5.08701674954847,
        5.087035821612382,
        5.087055370477892,
        5.087074442541805,
        5.0870935146057175,
        5.0871125866696305,
        5.087132135535141,
        5.087151207599053,
        5.087170279662965,
        5.087189351726878,
        5.087208900592389,
        5.087227972656301,
        5.087247044720214,
        5.087266116784126,
        5.087285665649636,
        5.087304737713549,
        5.087323809777462,
        5.087342881841375,
        5.087362430706885,
        5.087381502770797,
        5.08740057483471,
        5.087419646898622,
        5.087438718962535,
        5.087458267828046,
        5.087477339891958,
        5.08749641195587,
        5.087515484019783,
        5.087534556083695,
        5.087553628147608,
        5.087573177013119,
        5.087592249077031,
        5.087611321140944,
        5.087630393204856,
        5.087649465268769,
        5.087668537332681,
        5.087688086198192,
        5.087707158262105,
        5.087726230326017,
        5.08774530238993,
        5.087764374453842,
        5.087783446517754,
        5.087802518581667,
        5.087822067447178,
        5.08784113951109,
        5.087860211575003,
        5.087879283638915,
        5.087898355702828,
        5.08791742776674,
        5.087936499830653,
        5.0879555718945655,
        5.0879746439584785,
        5.087993716022391,
        5.091498207766325,
        5.095653056889678,
        5.095675943366373,
        5.09569835304147,
        5.0957212395181655,
        5.095744125994861,
        5.0957665356699575,
        5.095789422146653,
        5.0958118318217505,
        5.095834718298446,
        5.095857604775141,
        5.095880014450238,
        5.095902900926933,
        5.09592531060203,
        5.095948197078725,
        5.09597108355542,
        5.095993493230518,
        5.096016379707213,
        5.09603878938231,
        5.096061675859005,
        5.096084085534102,
        5.096106972010797,
        5.096129858487492,
        5.09615226816259,
        5.096175154639285,
        5.096197564314382,
        5.096220450791077,
        5.096242860466174,
        5.096265746942869,
        5.096288156617967,
        5.096311043094662,
        5.096333452769759,
        5.096356339246454,
        5.096378748921551,
        5.096401635398246,
        5.096424521874941,
        5.096446931550039,
        5.096469818026734,
        5.096492227701831,
        5.096515114178526,
        5.096537523853623,
        5.096560410330318,
        5.096582820005416,
        5.096605706482111,
        5.096628116157208,
        5.096651002633903,
        5.096673412309,
        5.096695821984098,
        5.096718708460793,
        5.09674111813589,
        5.096764004612585,
        5.096786414287682,
        5.096809300764377,
        5.096831710439475,
        5.09685459691617,
        5.096877006591267,
        5.096899893067962,
        5.096922302743059,
        5.096945189219754,
        5.096967598894852,
        5.096990008569949,
        5.097012895046644,
        5.097035304721741,
        5.097058191198436,
        5.097080600873534,
        5.097103010548631,
        5.097125897025326,
        5.097148306700423,
        5.097171193177118,
        5.097193602852216,
        5.097216489328911,
        5.097238899004008,
        5.097261308679106,
        5.0972841951558,
        5.097306604830898,
        5.097329014505995,
        5.09735190098269,
        5.097374310657788,
        5.097397197134483,
        5.09741960680958,
        5.097442016484677,
        5.097464902961372,
        5.09748731263647,
        5.097509722311567,
        5.097532608788262,
        5.097555018463359,
        5.0975774281384565,
        5.097600314615152,
        5.0976227242902485,
        5.0976451339653455,
        5.097668020442041,
        5.097690430117138,
        5.097712839792235,
        5.0977357262689305,
        5.097758135944028,
        5.097780545619125,
        5.09780343209582,
        5.097825841770917,
        5.097848251446015,
        5.09787113792271,
        5.097893547597807,
        5.097915957272904,
        5.097938843749599,
        5.099243849722817,
        5.099266259397914,
        5.099288669073012,
        5.099311078748109,
        5.099333488423206,
        5.099355898098303,
        5.0993783077734,
        5.099400717448498,
        5.099423127123595,
        5.099445536798692,
        5.09946794647379,
        5.099490356148887,
        5.099513242625582,
        5.09953565230068,
        5.0995580619757765,
        5.0995804716508735,
        5.099602881325971,
        5.099625291001068,
        5.099647700676165,
        5.099670110351263,
        5.09969252002636,
        5.099714929701458,
        5.099737339376555,
        5.0997597490516515,
        5.099782158726749,
        5.099804568401846,
        5.099826978076944,
        5.099849387752041,
        5.099871797427138,
        5.099894207102236,
        5.099916616777333,
        5.0999390264524305,
        5.099961436127527,
        5.099983845802624,
        5.100006255477722,
        5.100028665152819,
        5.100051074827916,
        5.100073484503014,
        5.100095894178111,
        5.1001183038532085,
        5.1001407135283054,
        5.100163123203402,
        5.1001855328785,
        5.100207942553597,
        5.100229875427097,
        5.100252285102194,
        5.1002746947772915,
        5.100297104452388,
        5.100319514127486,
        5.100341923802583,
        5.10036433347768,
        5.100386743152778,
        5.100409152827875,
        5.100431562502972,
        5.1004539721780695,
        5.100476381853166,
        5.100498791528264,
        5.100520724401763,
        5.100543134076861,
        5.100565543751958,
        5.1005879534270555,
        5.100610363102152,
        5.100632772777249,
        5.100655182452347,
        5.100677592127444,
        5.100700001802542,
        5.100721934676041,
        5.100744344351138,
        5.100766754026235,
        5.100789163701333,
        5.10081157337643,
        5.100833983051527,
        5.100856392726625,
        5.100878325600124,
        5.100900735275221,
        5.100923144950318,
        5.100945554625416,
        5.100967964300513,
        5.10099037397561,
        5.10101230684911,
        5.101034716524207,
        5.101057126199304,
        5.101079535874401,
        5.101101945549499,
        5.101123878422999,
        5.101146288098096,
        5.1011686977731925,
        5.10119110744829,
        5.101213517123387,
        5.101235449996887,
        5.101257859671984,
        5.101280269347082,
        5.1013026790221785,
        5.101325088697276,
        5.101347021570775,
        5.101369431245873,
        5.10139184092097,
        5.101414250596068,
        5.101436183469566,
        5.101458593144664,
        5.101481002819761,
        5.101503412494859,
        5.1015253453683576,
        5.101547755043455,
        5.101570164718552,
        5.10159257439365,
        5.101614507267149,
        5.101636916942247,
        5.101659326617344,
        5.101681736292441,
        5.10170366916594,
        5.101726078841038,
        5.101748488516135,
        5.101770421389634,
        5.101792831064731,
        5.101815240739829,
        5.101837650414926,
        5.101859583288426,
        5.101881992963523,
        5.10190440263862,
        5.10192633551212,
        5.101948745187217,
        5.101971154862314,
        5.1019930877358135,
        5.102015497410911,
        5.102037907086008,
        5.102059839959508,
        5.102082249634605,
        5.102104659309703,
        5.102126592183201,
        5.102149001858299,
        5.102171411533396,
        5.102193344406896,
        5.102215754081993,
        5.10223816375709,
        5.10226009663059,
        5.102282506305687,
        5.1023044391791865,
        5.1023268488542834,
        5.102349258529381,
        5.10237119140288,
        5.102393601077978,
        5.102416010753075,
        5.102437943626574,
        5.102460353301671,
        5.102482286175171,
        5.102504695850269,
        5.102527105525366,
        5.102549038398865,
        5.102571448073962,
        5.102593380947462,
        5.102615790622559,
        5.102637723496058,
        5.102660133171156,
        5.102682542846253,
        5.102704475719753,
        5.1027268853948495,
        5.102748818268349,
        5.102771227943446,
        5.102793160816946,
        5.1028155704920435,
        5.10283798016714,
        5.10285991304064,
        5.102882322715737,
        5.1029042555892365,
        5.1029266652643335,
        5.102948598137833,
        5.102971007812931,
        5.10299294068643,
        5.103015350361527,
        5.103037283235027,
        5.103059692910124,
        5.103081625783624,
        5.1031040354587205,
        5.10312596833222,
        5.103148378007318,
        5.103170310880817,
        5.103192720555914,
        5.103214653429414,
        5.103237063104511,
        5.103258995978011,
        5.1032814056531075,
        5.103303338526607,
        5.103325748201704,
        5.103347681075204,
        5.1033700907503015,
        5.1033920236238,
        5.103414433298898,
        5.103436366172398,
        5.103458299045896,
        5.103480708720994,
        5.103502641594494,
        5.103525051269591,
        5.10354698414309,
        5.103569393818187,
        5.103591326691687,
        5.103613259565186,
        5.103635669240283,
        5.103657602113783,
        5.10368001178888,
        5.1037019446623795,
        5.103724354337477,
        5.103746287210977,
        5.103768220084476,
        5.103790629759573,
        5.103812562633073,
        5.10383497230817,
        5.10385690518167,
        5.103878838055169,
        5.103901247730266,
        5.103923180603766,
        5.103945113477265,
        5.103967523152362,
        5.103989456025862,
        5.104011865700959,
        5.104033798574458,
        5.104055731447958,
        5.104078141123055,
        5.1041000739965545,
        5.104122006870054,
        5.104144416545151,
        5.104166349418651,
        5.10418828229215,
        5.104210691967247,
        5.104232624840747,
        5.104254557714246,
        5.104276967389343,
        5.104298900262843,
        5.1043208331363426,
        5.1043432428114395,
        5.104365175684939,
        5.104387108558439,
        5.104409518233536,
        5.104431451107035,
        5.104453383980535,
        5.104475316854034,
        5.104497726529131,
        5.104519659402631,
        5.104541592276131,
        5.1045640019512275,
        5.104585934824727,
        5.104607867698227,
        5.104629800571726,
        5.104652210246823,
        5.104674143120323,
        5.1046960759938225,
        5.104718008867322,
        5.104740418542419,
        5.104762351415919,
        5.104784284289418,
        5.104806217162918,
        5.104828626838015,
        5.104850559711514,
        5.104872492585014,
        5.104894425458513,
        5.1049168351336105,
        5.10493876800711,
        5.104960700880609,
        5.104982633754108,
        5.105004566627608,
        5.105026976302706,
        5.105048909176205,
        5.105070842049704,
        5.105092774923204,
        5.105114707796703,
        5.1051371174718,
        5.1051590503453,
        5.1051809832187995,
        5.105202916092299,
        5.105224848965799,
        5.105247258640896,
        5.105269191514395,
        5.105291124387895,
        5.105313057261394,
        5.105334990134893,
        5.105356923008393,
        5.105378855881892,
        5.105401265556989,
        5.105423198430489,
        5.105445131303989,
        5.105467064177488,
        5.105488997050988,
        5.1055109299244865,
        5.105532862797986,
        5.105555272473084,
        5.105577205346583,
        5.105599138220082,
        5.105621071093582,
        5.1056430039670815,
        5.105664936840581,
        5.105686869714081,
        5.105708802587579,
        5.105730735461079,
        5.105753145136177,
        5.105775078009676,
        5.105797010883175,
        5.105818943756675,
        5.105840876630174,
        5.105862809503674,
        5.105884742377174,
        5.105906675250672,
        5.105928608124172,
        5.1059505409976715,
        5.105972473871171,
        5.105994406744671,
        5.1060163396181695,
        5.106038272491669,
        5.106060205365169,
        5.106082138238668,
        5.106104547913765,
        5.106126480787265,
        5.106148413660764,
        5.106170346534264,
        5.106192279407764,
        5.106214212281262,
        5.106236145154762,
        5.106258078028262,
        5.106280010901761,
        5.106301943775261,
        5.10632387664876,
        5.106345809522259,
        5.106367742395759,
        5.106389675269258,
        5.106411608142758,
        5.106433541016258,
        5.106455473889757,
        5.106477406763256,
        5.1064993396367555,
        5.106521272510255,
        5.106543205383755,
        5.106565138257254,
        5.106586594329156,
        5.106608527202655,
        5.106630460076155,
        5.106652392949654,
        5.106674325823153,
        5.106696258696653,
        5.1067181915701525,
        5.106740124443652,
        5.106762057317152,
        5.10678399019065,
        5.10680592306415,
        5.10682785593765,
        5.106849788811149,
        5.106871721684649,
        5.1068936545581485,
        5.106915587431647,
        5.1069370435035495,
        5.106958976377048,
        5.106980909250548,
        5.107002842124047,
        5.107024774997547,
        5.107046707871047,
        5.107068640744546,
        5.107090573618045,
        5.107112506491545,
        5.107133962563446,
        5.107155895436946,
        5.107177828310445,
        5.107199761183945,
        5.107221694057444,
        5.107243626930944,
        5.107265559804443,
        5.107287015876345,
        5.107308948749845,
        5.107330881623343,
        5.107352814496843,
        5.107374747370343,
        5.107396680243842,
        5.107418613117342,
        5.107440069189243,
        5.107462002062743,
        5.107483934936242,
        5.107505867809741,
        5.107527800683241,
        5.107549256755142,
        5.107571189628642,
        5.107593122502141,
        5.107615055375641,
        5.107636988249141,
        5.107854886579341,
        5.107876819452841,
        5.10789875232634,
        5.10792068519984,
        5.107942141271741,
        5.107964074145241,
        5.107986007018741,
        5.10800793989224,
        5.108029395964142,
        5.108051328837641,
        5.108073261711141,
        5.10809519458464,
        5.108116650656542,
        5.108138583530041,
        5.10816051640354,
        5.1081819724754425,
        5.108203905348941,
        5.108225838222441,
        5.10824777109594,
        5.108269227167842,
        5.108291160041341,
        5.108313092914841,
        5.108334548986742,
        5.108356481860242,
        5.108378414733742,
        5.108399870805643,
        5.108421803679143,
        5.108443736552642,
        5.108465192624544,
        5.108487125498043,
        5.108509058371543,
        5.108530514443444,
        5.108552447316944,
        5.1085743801904435,
        5.108595836262345,
        5.1086177691358445,
        5.108639702009343,
        5.1086611580812455,
        5.108683090954745,
        5.108704547026647,
        5.108726479900146,
        5.108748412773645,
        5.108769868845547,
        5.108791801719047,
        5.108813257790948,
        5.108835190664448,
        5.1088571235379465,
        5.108878579609849,
        5.108900512483348,
        5.10892196855525,
        5.108943901428749,
        5.108965834302248,
        5.1089872903741504,
        5.10900922324765,
        5.1090306793195515,
        5.109052612193051,
        5.109074545066551,
        5.109096001138452,
        5.109117934011952,
        5.109139390083853,
        5.109161322957353,
        5.109182779029254,
        5.109204711902754,
        5.109226167974655,
        5.109248100848155,
        5.109269556920056,
        5.109291489793556,
        5.109313422667055,
        5.109334878738957,
        5.109356811612456,
        5.109378267684358,
        5.109400200557857,
        5.109421656629759,
        5.109443589503258,
        5.10946504557516,
        5.109486978448659,
        5.109508434520561,
        5.10953036739406,
        5.109551823465962,
        5.109573756339461,
        5.109595212411364,
        5.109617145284862,
        5.109638601356765,
        5.1096605342302635,
        5.109681990302166,
        5.109703446374067,
        5.109725379247567,
        5.109746835319468,
        5.109768768192968,
        5.109790224264869,
        5.109812157138369,
        5.10983361321027,
        5.10985554608377,
        5.109877002155671,
        5.109898935029171,
        5.109920391101072,
        5.1099418471729745,
        5.109963780046474,
        5.1099852361183755,
        5.110007168991875,
        5.1100286250637765,
        5.110050557937276,
        5.1100720140091775,
        5.110093470081079,
        5.110115402954579,
        5.11013685902648,
        5.11015879189998,
        5.110180247971881,
        5.110201704043783,
        5.110223636917283,
        5.110245092989184,
        5.110266549061086,
        5.110288481934585,
        5.110309938006487,
        5.110331870879986,
        5.110353326951888,
        5.11037478302379,
        5.110396715897289,
        5.110418171969191,
        5.110439628041092,
        5.110461560914592,
        5.110483016986493,
        5.110504473058395,
        5.1105264059318944,
        5.110547862003796,
        5.110569318075698,
        5.110591250949197,
        5.110612707021099,
        5.110634163093001,
        5.1106560959665,
        5.110677552038402,
        5.110699008110303,
        5.110720940983803,
        5.110742397055704,
        5.110763853127606,
        5.110785309199508,
        5.110807242073007,
        5.110828698144909,
        5.11085015421681,
        5.11087208709031,
        5.110893543162211,
        5.110914999234113,
        5.110936455306015,
        5.110958388179514,
        5.110979844251416,
        5.111001300323317,
        5.1110227563952195,
        5.111044689268718,
        5.1110661453406205,
        5.111087601412522,
        5.111109057484423,
        5.111130990357923,
        5.111152446429824,
        5.111173902501726,
        5.111777056522961,
        5.111798512594863,
        5.111819968666764,
        5.111841901540264,
        5.111863357612165,
        5.1118848136840676,
        5.111906269755969,
        5.11192772582787,
        5.111949181899772,
        5.111970637971674,
        5.1119920940435755,
        5.112013550115477,
        5.1120354829889765,
        5.112056939060878,
        5.11207839513278,
        5.112099851204682,
        5.112121307276583,
        5.112142763348484,
        5.112164219420387,
        5.112185675492288,
        5.1122071315641895,
        5.112228587636091,
        5.112250043707993,
        5.112271499779895,
        5.112292955851796,
        5.112314411923697,
        5.1123358679956,
        5.112357324067501,
        5.1123787801394025,
        5.112400713012902,
        5.1124221690848035,
        5.112443625156706,
        5.112465081228607,
        5.112486537300509,
        5.11250799337241,
        5.112529449444312,
        5.112550905516214,
        5.112572361588115,
        5.1125938176600165,
        5.112615273731919,
        5.11263672980382,
        5.112658185875722,
        5.112679641947623,
        5.112701098019525,
        5.112722554091427,
        5.112744010163328,
        5.11276546623523,
        5.112786922307132,
        5.112807901577435,
        5.112829357649337,
        5.112850813721239,
        5.11287226979314,
        5.112893725865042,
        5.112915181936944,
        5.112936638008845,
        5.112958094080747,
        5.112979550152649,
        5.11300100622455,
        5.113022462296452,
        5.113043918368353,
        5.113065374440255,
        5.113086830512157,
        5.113108286584058,
        5.11312974265596,
        5.113150721926264,
        5.113172177998165,
        5.113193634070067,
        5.113215090141969,
        5.11323654621387,
        5.113258002285772,
        5.113279458357674,
        5.113300914429575,
        5.113322370501477,
        5.113343349771781,
        5.113364805843682,
        5.1133862619155845,
        5.113407717987486,
        5.113429174059387,
        5.113450630131289,
        5.113472086203191,
        5.1134935422750925,
        5.1135145215453965,
        5.113535977617298,
        5.113557433689199,
        5.113578889761101,
        5.113600345833003,
        5.1136218019049045,
        5.1136427811752085,
        5.11366423724711,
        5.113685693319011,
        5.113707149390913,
        5.113728605462815,
        5.1137500615347165,
        5.1137710408050205,
        5.113792496876922,
        5.113813952948823,
        5.113835409020725,
        5.114280980113882,
        5.115496108985912,
        5.1155175650578135,
        5.115538544328118,
        5.115560000400019,
        5.115580979670323,
        5.1156024357422245,
        5.115623415012529,
        5.11564487108443,
        5.115665850354734,
        5.1156873064266355,
        5.11570828569694,
        5.115729741768841,
        5.115750721039145,
        5.1157721771110465,
        5.115793156381351,
        5.115814612453252,
        5.115835591723556,
        5.1158570477954575,
        5.115878027065762,
        5.115899006336065,
        5.115920462407966,
        5.11594144167827,
        5.115962897750172,
        5.115983877020476,
        5.116005333092377,
        5.116026312362681,
        5.116047768434583,
        5.116068747704887,
        5.116089726975191,
        5.116111183047092,
        5.116132162317396,
        5.116153618389298,
        5.116174597659602,
        5.116196053731503,
        5.116217033001807,
        5.1162380122721105,
        5.116259468344013,
        5.116280447614316,
        5.11630142688462,
        5.1163228829565215,
        5.116343862226826,
        5.116365318298727,
        5.116386297569031,
        5.116407276839335,
        5.116428732911237,
        5.116449712181541,
        5.116470691451844,
        5.116492147523746,
        5.116513126794049,
        5.116534582865952,
        5.116555562136255,
        5.116576541406559,
        5.11659799747846,
        5.116618976748764,
        5.1166399560190685,
        5.11666141209097,
        5.116682391361274,
        5.116703370631577,
        5.1167248267034795,
        5.116745805973783,
        5.116766785244087,
        5.116788241315988,
        5.116809220586292,
        5.116830199856596,
        5.1168511791269,
        5.116872635198802,
        5.116893614469105,
        5.116914593739409,
        5.116936049811311,
        5.116957029081615,
        5.116978008351919,
        5.116998987622222,
        5.117020443694124,
        5.117041422964427,
        5.1170624022347315,
        5.117083381505036,
        5.117104837576937,
        5.117125816847241,
        5.117146796117544,
        5.117167775387848,
        5.11718923145975,
        5.117210210730054,
        5.117231190000358,
        5.117252169270662,
        5.1172736253425635,
        5.117294604612868,
        5.117315583883171,
        5.117336563153475,
        5.117358019225376,
        5.11737899849568,
        5.117399977765984,
        5.117420957036288,
        5.117441936306592,
        5.117463392378493,
        5.117484371648797,
        5.117505350919101,
        5.1175263301894045,
        5.117547309459709,
        5.117568288730013,
        5.117589744801914,
        5.117610724072218,
        5.117631703342521,
        5.1176526826128255,
        5.1176736618831296,
        5.117694641153434,
        5.117716097225335,
        5.117737076495639,
        5.117758055765942,
        5.117779035036246,
        5.1178000143065505,
        5.117820993576854,
        5.117842449648756,
        5.117863428919059,
        5.117884408189363,
        5.117905387459667,
        5.117926366729971,
        5.117947346000275,
        5.117968325270579,
        5.117989304540883,
        5.118010283811186,
        5.118031739883088,
        5.1180527191533915,
        5.118073698423696,
        5.118094677694,
        5.118115656964303,
        5.118136636234607,
        5.118157615504911,
        5.118178594775214,
        5.118199574045518,
        5.1182205533158225,
        5.118241532586127,
        5.11826251185643,
        5.118283491126734,
        5.118304947198635,
        5.118325926468939,
        5.1183469057392434,
        5.118367885009547,
        5.118388864279851,
        5.118409843550155,
        5.118430822820458,
        5.118451802090762,
        5.118472781361066,
        5.11849376063137,
        5.1185147399016735,
        5.118535719171978,
        5.118556698442282,
        5.118577677712585,
        5.118598656982889,
        5.118619636253193,
        5.118640615523496,
        5.1186615947938,
        5.118682574064104,
        5.1187035533344085,
        5.118724532604712,
        5.118745511875016,
        5.11876649114532,
        5.118787470415623,
        5.118808449685927,
        5.118829428956231,
        5.1188504082265345,
        5.118871387496839,
        5.118892366767143,
        5.118913346037447,
        5.11893432530775,
        5.118955304578054,
        5.11897580704676,
        5.118996786317064,
        5.119017765587368,
        5.119038744857671,
        5.119059724127975,
        5.1190807033982795,
        5.119101682668583,
        5.119122661938887,
        5.119143641209191,
        5.119164620479494,
        5.119185599749798,
        5.119206579020102,
        5.119227081488808,
        5.119248060759112,
        5.119269040029415,
        5.1192900192997195,
        5.119310998570024,
        5.119331977840328,
        5.119352957110631,
        5.119373936380935,
        5.119394915651239,
        5.119415418119945,
        5.119436397390248,
        5.119457376660552,
        5.119478355930856,
        5.11949933520116,
        5.119520314471464,
        5.119541293741768,
        5.119561796210474,
        5.119582775480778,
        5.119603754751082,
        5.119624734021385,
        5.119645713291689,
        5.119666692561993,
        5.119687195030699,
        5.119708174301002,
        5.119729153571306,
        5.11975013284161,
        5.1197711121119145,
        5.11979161458062,
        5.119812593850924,
        5.119833573121228,
        5.119854552391532,
        5.119875531661836,
        5.119896034130542,
        5.119917013400845,
        5.119937992671149,
        5.119958971941453,
        5.119979951211757,
        5.120000453680463,
        5.120021432950766,
        5.12004241222107,
        5.1200633914913745,
        5.12008389396008,
        5.120104873230384,
        5.120125852500688,
        5.120146831770992,
        5.120167334239698,
        5.120188313510002,
        5.120209292780306,
        5.120230272050609,
        5.120250774519315,
        5.120271753789619,
        5.120292733059923,
        5.120313235528629,
        5.120334214798933,
        5.120355194069236,
        5.12037617333954,
        5.120396675808246,
        5.12041765507855,
        5.120438634348854,
        5.12045913681756,
        5.1204801160878635,
        5.1205010953581676,
        5.120521597826873,
        5.1205425770971775,
        5.120563556367482,
        5.1205840588361875,
        5.120605038106492,
        5.120626017376795,
        5.120646519845501,
        5.120667499115805,
        5.120688478386109,
        5.120708980854815,
        5.120729960125119,
        5.120750939395422,
        5.120771441864128,
        5.120792421134432,
        5.120813400404736,
        5.120833902873442,
        5.120854882143746,
        5.120875384612452,
        5.120896363882756,
        5.120917343153059,
        5.120937845621765,
        5.120958824892069,
        5.120979327360775,
        5.121000306631079,
        5.121021285901383,
        5.121041788370089,
        5.121062767640393,
        5.121083270109099,
        5.121104249379402,
        5.121125228649706,
        5.121145731118412,
        5.121166710388716,
        5.121187212857422,
        5.121208192127726,
        5.121228694596432,
        5.121249673866736,
        5.121270176335442,
        5.121291155605745,
        5.1213121348760495,
        5.121332637344755,
        5.1213536166150595,
        5.121374119083765,
        5.1213950983540695,
        5.121415600822775,
        5.1214365800930794,
        5.121457082561785,
        5.121478061832089,
        5.121498564300795,
        5.1215195435710985,
        5.121540046039804,
        5.1215610253101085,
        5.121581527778814,
        5.1216025070491185,
        5.121623009517824,
        5.121643988788128,
        5.121664491256834,
        5.121685470527138,
        5.121705972995844,
        5.121726952266148,
        5.121747454734854,
        5.1217684340051575,
        5.121788936473864,
        5.121809915744167,
        5.121830418212873,
        5.12185092068158,
        5.121871899951883,
        5.121892402420589,
        5.121913381690893,
        5.121933884159599,
        5.121954863429903,
        5.121975365898609,
        5.121996345168913,
        5.122016847637619,
        5.122037350106325,
        5.122058329376629,
        5.122078831845335,
        5.122099811115639,
        5.122120313584345,
        5.122140816053051,
        5.122161795323355,
        5.122182297792061,
        5.122203277062364,
        5.122223779531071,
        5.122244281999777,
        5.12226526127008,
        5.122285763738787,
        5.12230674300909,
        5.122327245477796,
        5.1223477479465025,
        5.122368727216806,
        5.122389229685512,
        5.122409732154218,
        5.1224307114245216,
        5.122451213893227,
        5.122471716361934,
        5.122492695632237,
        5.122513198100943,
        5.12253370056965,
        5.122554679839953,
        5.122575182308659,
        5.122595684777366,
        5.122616664047669,
        5.122637166516375,
        5.122657668985081,
        5.122678648255385,
        5.122699150724091,
        5.122719653192797,
        5.122740632463101,
        5.122761134931807,
        5.122781637400513,
        5.122802139869219,
        5.122823119139523,
        5.1228436216082285,
        5.122864124076935,
        5.1228851033472385,
        5.122905605815944,
        5.122926108284651,
        5.122946610753357,
        5.12296759002366,
        5.122988092492367,
        5.123008594961073,
        5.123029097429779,
        5.123050076700083,
        5.123070579168789,
        5.123091081637495,
        5.1231115841062005,
        5.123132563376505,
        5.1231530658452105,
        5.123173568313916,
        5.123194070782622,
        5.123214573251328,
        5.123235552521632,
        5.123256054990338,
        5.123276557459044,
        5.12329705992775,
        5.123317562396457,
        5.12333854166676,
        5.123359044135466,
        5.123379546604172,
        5.123400049072878,
        5.123420551541584,
        5.1234415308118875,
        5.123462033280594,
        5.1234825357493,
        5.123503038218006,
        5.123523540686712,
        5.123544043155418,
        5.123565022425722,
        5.123585524894428,
        5.123606027363134,
        5.1236265298318395,
        5.123647032300545,
        5.123667534769252,
        5.123688037237958,
        5.123709016508261,
        5.123729518976968,
        5.123750021445674,
        5.12377052391438,
        5.123791026383086,
        5.123811528851792,
        5.1238320313204975,
        5.123852533789203,
        5.1238735130595074,
        5.123894015528213,
        5.123914517996919,
        5.123935020465626,
        5.123955522934332,
        5.123976025403038,
        5.123996527871744,
        5.1240170303404495,
        5.124037532809155,
        5.124058035277861,
        5.124078537746568,
        5.124099040215274,
        5.12411954268398,
        5.124140521954284,
        5.12416102442299,
        5.124181526891696,
        5.124202029360402,
        5.1242225318291075,
        5.124243034297813,
        5.124263536766519,
        5.124284039235226,
        5.124304541703932,
        5.124325044172638,
        5.124345546641344,
        5.12436604911005,
        5.1243865515787554,
        5.124407054047461,
        5.124427556516168,
        5.124448058984874,
        5.12446856145358,
        5.124489063922286,
        5.124509566390992,
        5.1245300688596975,
        5.124550571328403,
        5.12457107379711,
        5.124591576265816,
        5.124612078734522,
        5.124632581203228,
        5.124653083671934,
        5.12467358614064,
        5.1246940886093455,
        5.124714591078051,
        5.124735093546758,
        5.124755596015464,
        5.124775621682572,
        5.124796124151278,
        5.124816626619984,
        5.12483712908869,
        5.124878134026102,
        5.124898636494808,
        5.124919138963514,
        5.12493964143222,
        5.1249601439009265,
        5.124980646369632,
        5.125001148838338,
        5.125021651307044,
        5.125041676974153,
        5.125062179442859,
        5.1250826819115645,
        5.12510318438027,
        5.125123686848976,
        5.125144189317682,
        5.125164691786388,
        5.125185194255095,
        5.125205696723801,
        5.125225722390908,
        5.125246224859614,
        5.125266727328321,
        5.125287229797027,
        5.125307732265733,
        5.125328234734439,
        5.125348260401547,
        5.125368762870253,
        5.125389265338959,
        5.125409767807665,
        5.125430270276371,
        5.125450772745077,
        5.125470798412185,
        5.125491300880891,
        5.125511803349597,
        5.125532305818303,
        5.125552808287009,
        5.1255733107557155,
        5.125593336422823,
        5.125613838891529,
        5.125634341360235,
        5.125654843828942,
        5.125675346297648,
        5.125695371964755,
        5.125715874433461,
        5.125736376902168,
        5.125756879370874,
        5.125776905037982,
        5.125797407506687,
        5.125817909975394,
        5.1258384124441,
        5.125858438111208,
        5.125878940579914,
        5.12589944304862,
        5.125919945517326,
        5.125939971184434,
        5.125960473653141,
        5.125980976121847,
        5.1260014785905526,
        5.12602150425766,
        5.126042006726367,
        5.126062509195073,
        5.126083011663779,
        5.1261030373308865,
        5.126123539799593,
        5.126144042268299,
        5.126164067935407,
        5.126184570404113,
        5.1262050728728195,
        5.126225098539927,
        5.126245601008633,
        5.126266103477339,
        5.1262861291444475,
        5.126306631613153,
        5.126327134081859,
        5.126347159748968,
        5.126367662217674,
        5.12638816468638,
        5.126408190353488,
        5.126428692822194,
        5.1264491952909,
        5.1264692209580085,
        5.126489723426714,
        5.12651022589542,
        5.126530251562528,
        5.126550754031235,
        5.126571256499941,
        5.126591282167048,
        5.126611784635754,
        5.126631810302863,
        5.126652312771569,
        5.1266728152402745,
        5.126692840907383,
        5.126713343376089,
        5.126733845844795,
        5.126753871511903,
        5.126774373980609,
        5.126794399647717,
        5.126814902116424,
        5.1268349277835314,
        5.126855430252237,
        5.126875932720943,
        5.126895958388052,
        5.126916460856758,
        5.126936486523866,
        5.126956988992572,
        5.12697701465968,
        5.126997517128387,
        5.1270180195970925,
        5.1270380452642,
        5.127058547732906,
        5.127078573400015,
        5.1270990758687205,
        5.127119101535829,
        5.127139604004535,
        5.127159629671643,
        5.127180132140349,
        5.127200157807457,
        5.127220660276163,
        5.1272406859432715,
        5.127261188411977,
        5.127281214079086,
        5.127301716547792,
        5.1273217422149,
        5.127342244683606,
        5.127362270350714,
        5.12738277281942,
        5.1274027984865285,
        5.127423300955234,
        5.127443326622343,
        5.127463829091049,
        5.1274838547581565,
        5.127504357226862,
        5.127524382893971,
        5.127544885362677,
        5.127564911029785,
        5.127584936696893,
        5.127605439165599,
        5.1276254648327075,
        5.127645967301413,
        5.127665992968522,
        5.127686495437228,
        5.127706521104336,
        5.127727023573042,
        5.12774704924015,
        5.127767074907259,
        5.1277875773759645,
        5.127807603043072,
        5.127828105511779,
        5.127848131178887,
        5.127868156845995,
        5.127888659314701,
        5.12790868498181,
        5.1279291874505155,
        5.127949213117623,
        5.127969238784732,
        5.127989741253438,
        5.128009766920546,
        5.128029792587654,
        5.12805029505636,
        5.128070320723468,
        5.128090823192174,
        5.128110848859283,
        5.1281308745263905,
        5.128151376995096,
        5.128171402662205,
        5.128191428329313,
        5.128211930798019,
        5.128231956465127,
        5.128251982132236,
        5.1282724846009415,
        5.128292510268049,
        5.128312535935158,
        5.128333038403864,
        5.128353064070972,
        5.12837308973808,
        5.1283931154051885,
        5.128413617873894,
        5.128433643541003,
        5.128453669208111,
        5.1284741716768165,
        5.128494197343925,
        5.128514223011034,
        5.128534248678141,
        5.128554751146847,
        5.128574776813956,
        5.1285948024810635,
        5.12861530494977,
        5.128635330616878,
        5.1286553562839865,
        5.128675381951094,
        5.1286958844198,
        5.128715910086909,
        5.128735935754017,
        5.128755961421125,
        5.128776463889831,
        5.128796489556939,
        5.128816515224047,
        5.128836540891156,
        5.128856566558264,
        5.12887706902697,
        5.128897094694078,
        5.128917120361186,
        5.128937146028295,
        5.128957648497001,
        5.128977674164108,
        5.128997699831217,
        5.129017725498325,
        5.129037751165433,
        5.129057776832542,
        5.129078279301248,
        5.129098304968355,
        5.129118330635464,
        5.129138356302572,
        5.12915838196968,
        5.129178884438386,
        5.129198910105495,
        5.129218935772602,
        5.129238961439711,
        5.129258987106819,
        5.129279012773927,
        5.129299038441036,
        5.129319540909742,
        5.129339566576849,
        5.129359592243958,
        5.1293796179110664,
        5.129399643578174,
        5.129419669245283,
        5.12943969491239,
        5.129459720579499,
        5.129480223048205,
        5.129500248715313,
        5.129520274382421,
        5.12954030004953,
        5.129560325716637,
        5.129580351383746,
        5.129600377050854,
        5.129620402717962,
        5.129640428385071,
        5.129921264526183,
        5.129941290193291,
        5.129961315860399,
        5.1299813415275075,
        5.130001367194616,
        5.130021392861724,
        5.130041418528832,
        5.13006144419594,
        5.130081469863049,
        5.130101495530157,
        5.130121521197265,
        5.130141546864373,
        5.130161572531481,
        5.13018159819859,
        5.130201623865697,
        5.130221649532806,
        5.1302416751999145,
        5.130261700867022,
        5.130281726534131,
        5.130301752201238,
        5.130321777868347,
        5.130341803535455,
        5.130361829202563,
        5.130381854869672,
        5.1304018805367795,
        5.130421906203888,
        5.130441931870996,
        5.130461480736506,
        5.130481506403615,
        5.130501532070723,
        5.130521557737831,
        5.1305415834049395,
        5.130561609072047,
        5.130581634739156,
        5.130601660406263,
        5.130621686073372,
        5.130641711740481,
        5.130661737407588,
        5.130681286273099,
        5.130701311940207,
        5.130721337607315,
        5.130741363274423,
        5.130761388941532,
        5.13078141460864,
        5.130801440275748,
        5.130821465942856,
        5.130841014808366,
        5.130861040475475,
        5.1308810661425825,
        5.130901091809691,
        5.1309211174768,
        5.130941143143907,
        5.130961168811016,
        5.130980717676526,
        5.131000743343634,
        5.1310207690107426,
        5.131040794677851,
        5.131060820344959,
        5.131080846012067,
        5.131100394877578,
        5.131120420544685,
        5.131140446211794,
        5.131160471878902,
        5.13118049754601,
        5.131200046411521,
        5.131220072078629,
        5.131240097745737,
        5.131260123412845,
        5.131280149079953,
        5.1312996979454635,
        5.131319723612572,
        5.131339749279681,
        5.131359774946788,
        5.131379323812299,
        5.131399349479407,
        5.131419375146515,
        5.1314394008136235,
        5.131458949679134,
        5.1314789753462415,
        5.13149900101335,
        5.131519026680459,
        5.131538575545969,
        5.131558601213077,
        5.131578626880185,
        5.131598652547293,
        5.131618201412803,
        5.131638227079912,
        5.1316582527470205,
        5.131677801612531,
        5.1316978272796385,
        5.131717852946747,
        5.131737878613855,
        5.131757427479365,
        5.131777453146474,
        5.131797478813582,
        5.131817027679093,
        5.1318370533462,
        5.131857079013309,
        5.131876627878819,
        5.131896653545927,
        5.1319166792130355,
        5.131936228078546,
        5.131956253745654,
        5.131976279412762,
        5.1319958282782725,
        5.132015853945381,
        5.132035879612489,
        5.132055428477999,
        5.132075454145108,
        5.132095003010618,
        5.132115028677726,
        5.132135054344834,
        5.132154603210345,
        5.132174628877453,
        5.132194654544561,
        5.132214203410071,
        5.13223422907718,
        5.13225377794269,
        5.132273803609798,
        5.1322938292769065,
        5.132313378142417,
        5.132333403809525,
        5.132352952675036,
        5.1323729783421435,
        5.132393004009252,
        5.132412552874762,
        5.13243257854187,
        5.13245212740738,
        5.132472153074489,
        5.132491701939999,
        5.132511727607108,
        5.132531276472618,
        5.132551302139726,
        5.132571327806835,
        5.132590876672345,
        5.132610902339453,
        5.132630451204963,
        5.1326504768720715,
        5.132670025737582,
        5.1326900514046905,
        5.132709600270201,
        5.1327296259373085,
        5.132749174802819,
        5.1327692004699275,
        5.132788749335438,
        5.1328087750025455,
        5.132828323868056,
        5.1328483495351644,
        5.132867898400675,
        5.132887924067783,
        5.132907472933294,
        5.132927498600401,
        5.132947047465912,
        5.13296707313302,
        5.132986621998531,
        5.133006647665638,
        5.133026196531149,
        5.133046222198257,
        5.133065771063768,
        5.133085319929278,
        5.133105345596387,
        5.133124894461897,
        5.133144920129005,
        5.133164468994515,
        5.133184494661624,
        5.133204043527134,
        5.133224069194242,
        5.133243618059752,
        5.133263166925262,
        5.133283192592371,
        5.133302741457881,
        5.13332276712499,
        5.1333423159905,
        5.133361864856011,
        5.133381890523118,
        5.133401439388629,
        5.133421465055737,
        5.133441013921248,
        5.133460562786758,
        5.133480588453866,
        5.133500137319376,
        5.133519686184886,
        5.133539711851995,
        5.133559260717505,
        5.133579286384614,
        5.133598835250124,
        5.133618384115635,
        5.133638409782742,
        5.133657958648253,
        5.133677507513763,
        5.133697533180872,
        5.133717082046382,
        5.133736630911892,
        5.133756656579,
        5.13377620544451,
        5.133795754310021,
        5.133815779977129,
        5.13383532884264,
        5.13385487770815,
        5.133874903375259,
        5.133894452240769,
        5.133914001106279,
        5.13393354997179,
        5.133953575638897,
        5.133973124504408,
        5.133992673369918,
        5.134012699037027,
        5.134032247902537,
        5.1340517967680475,
        5.134071345633558,
        5.134091371300666,
        5.134110920166177,
        5.134130469031687,
        5.1341500178971975,
        5.134170043564305,
        5.1341895924298155,
        5.134209141295326,
        5.134228690160836,
        5.134248715827945,
        5.134268264693455,
        5.134287813558966,
        5.134307362424476,
        5.134327388091584,
        5.134346936957094,
        5.134366485822604,
        5.134386034688116,
        5.134405583553626,
        5.134425609220734,
        5.134445158086244,
        5.134464706951754,
        5.134484255817265,
        5.134503804682775,
        5.134523830349884,
        5.134543379215394,
        5.134562928080904,
        5.134582476946415,
        5.134602025811925,
        5.1346215746774355,
        5.134641600344543,
        5.134661149210054,
        5.134680698075564,
        5.134700246941074,
        5.1347197958065856,
        5.134739344672096,
        5.134758893537606,
        5.134778919204714,
        5.134798468070224,
        5.134818016935735,
        5.134837565801245,
        5.134857114666755,
        5.134876663532266,
        5.134896212397776,
        5.1349157612632865,
        5.134935786930395,
        5.1349553357959055,
        5.134974884661416,
        5.134994433526926,
        5.135013982392437,
        5.135033531257947,
        5.135053080123457,
        5.135072628988968,
        5.135092177854478,
        5.135111726719988,
        5.135131275585499,
        5.135151301252607,
        5.135170850118118,
        5.135190398983628,
        5.135209947849138,
        5.135229496714649,
        5.135249045580159,
        5.1352685944456695,
        5.13528814331118,
        5.13530769217669,
        5.135327241042201,
        5.135346789907711,
        5.135366338773221,
        5.135385887638732,
        5.135405436504242,
        5.1354249853697524,
        5.135444534235263,
        5.135464083100773,
        5.1354836319662835,
        5.135503180831794,
        5.135522729697304,
        5.135542278562815,
        5.135561827428325,
        5.135581376293835,
        5.135600925159346,
        5.135620474024856,
        5.1356400228903665,
        5.135659571755877,
        5.135679120621387,
        5.135698669486898,
        5.135718218352408,
        5.135737767217918,
        5.135757316083429,
        5.135776864948939,
        5.135796413814449,
        5.13581596267996,
        5.13583551154547,
        5.135893681340404,
        5.143174441739026,
        5.15127530088589,
        5.151297710560987,
        5.1513205970376825,
        5.1513430067127794,
        5.1513883028645715,
        5.151410712539669,
        5.151433122214766,
        5.151456008691461,
        5.151478418366559,
        5.151500828041656,
        5.151523714518351,
        5.151546124193448,
        5.151569010670143,
        5.151591420345241,
        5.151613830020338,
        5.151636716497033,
        5.15165912617213,
        5.151681535847228,
        5.151704422323923,
        5.15172683199902,
        5.151749241674118,
        5.151772128150812,
        5.15179453782591,
        5.151816947501007,
        5.1518393571761045,
        5.1518622436528,
        5.151884653327897,
        5.1519070630029935,
        5.151929949479689,
        5.151952359154786,
        5.151974768829883,
        5.1519976553065785,
        5.152020064981675,
        5.152042474656773,
        5.15206488433187,
        5.152087770808565,
        5.152110180483663,
        5.15213259015876,
        5.152154999833857,
        5.152177886310552,
        5.15220029598565,
        5.152222705660747,
        5.152245115335844,
        5.152268001812539,
        5.152290411487637,
        5.152312821162734,
        5.1523352308378305,
        5.152358117314526,
        5.1523805269896235,
        5.15240293666472,
        5.152425346339818,
        5.152448232816513,
        5.15247064249161,
        5.152493052166707,
        5.152515461841805,
        5.152537871516902,
        5.152560757993597,
        5.152583167668694,
        5.152605577343792,
        5.152627987018889,
        5.1526503966939865,
        5.152673283170682,
        5.1526956928457786,
        5.1527181025208755,
        5.152740512195973,
        5.15276292187107,
        5.152785331546167,
        5.152808218022862,
        5.15283062769796,
        5.152853037373057,
        5.152875447048155,
        5.152897856723252,
        5.152920266398349,
        5.152943152875044,
        5.152965562550142,
        5.1529879722252385,
        5.1530103819003354,
        5.153032791575433,
        5.15305520125053,
        5.153077610925628,
        5.153100020600725,
        5.15312290707742,
        5.153145316752517,
        5.153167726427615,
        5.153190136102712,
        5.1532125457778095,
        5.153234955452906,
        5.153257365128003,
        5.153279774803101,
        5.153302184478198,
        5.153325070954893,
        5.15334748062999,
        5.153369890305088,
        5.153392299980185,
        5.153414709655283,
        5.15343711933038,
        5.1534595290054765,
        5.153481938680574,
        5.153504348355671,
        5.153526758030769,
        5.153549167705866,
        5.153638806406255,
        5.153661216081352,
        5.1536841025580475,
        5.1537065122331445,
        5.153728921908242,
        5.153751331583339,
        5.153773741258436,
        5.153796150933534,
        5.153818560608631,
        5.153840970283728,
        5.153863379958826,
        5.1538857896339225,
        5.15390819930902,
        5.153930608984117,
        5.153953018659214,
        5.153975428334312,
        5.153997838009409,
        5.154020247684507,
        5.154042657359604,
        5.154065067034701,
        5.154087476709798,
        5.154109886384895,
        5.154132296059993,
        5.15415470573509,
        5.15417663860859,
        5.154199048283687,
        5.154221457958784,
        5.154243867633881,
        5.154266277308978,
        5.154288686984076,
        5.154311096659173,
        5.15433350633427,
        5.154355916009368,
        5.154378325684465,
        5.1544007353595624,
        5.154423145034659,
        5.154445554709756,
        5.154467964384854,
        5.154490374059951,
        5.154512306933451,
        5.154534716608548,
        5.154557126283645,
        5.154579535958742,
        5.15460194563384,
        5.154624355308937,
        5.154646764984034,
        5.154669174659132,
        5.154691584334229,
        5.154713994009326,
        5.154735926882825,
        5.154758336557923,
        5.15478074623302,
        5.154803155908117,
        5.154825565583215,
        5.154847975258312,
        5.154870384933409,
        5.154892317806908,
        5.154914727482006,
        5.154937137157103,
        5.154959546832201,
        5.154981956507298,
        5.1550043661823945,
        5.155026775857492,
        5.155048708730992,
        5.155071118406089,
        5.155093528081186,
        5.155115937756284,
        5.1551383474313806,
        5.15516028030488,
        5.155182689979977,
        5.155205099655075,
        5.155227509330172,
        5.15524991900527,
        5.1552723286803666,
        5.155294261553866,
        5.155316671228963,
        5.15533908090406,
        5.155361490579158,
        5.155383423452657,
        5.155405833127754,
        5.155428242802851,
        5.155450652477949,
        5.155473062153046,
        5.155494995026546,
        5.1555174047016425,
        5.15553981437674,
        5.155562224051837,
        5.155584156925337,
        5.155606566600434,
        5.155628976275532,
        5.1556513859506286,
        5.155673318824128,
        5.155695728499225,
        5.155718138174323,
        5.1557400710478225,
        5.155762480722919,
        5.155784890398016,
        5.155807300073114,
        5.155829232946614,
        5.155851642621711,
        5.155874052296808,
        5.155895985170307,
        5.155918394845405,
        5.155940804520502,
        5.155963214195599,
        5.1559851470690985,
        5.156007556744196,
        5.156029966419293,
        5.156051899292793,
        5.15607430896789,
        5.156096718642988,
        5.156118651516486,
        5.156141061191584,
        5.156163470866681,
        5.156185403740181,
        5.156207813415278,
        5.156230223090375,
        5.156252155963875,
        5.156274565638972,
        5.156296975314069,
        5.156318908187568,
        5.156341317862666,
        5.156363250736165,
        5.156385660411263,
        5.15640807008636,
        5.156430002959859,
        5.156452412634956,
        5.156474822310054,
        5.156496755183554,
        5.156519164858651,
        5.15654109773215,
        5.156563507407247,
        5.156585917082345,
        5.156607849955844,
        5.1566302596309415,
        5.156652192504441,
        5.156674602179538,
        5.156697011854635,
        5.1567189447281345,
        5.156741354403232,
        5.156763287276731,
        5.156785696951829,
        5.1568076298253285,
        5.156830039500425,
        5.156852449175522,
        5.156874382049022,
        5.15689679172412,
        5.156918724597619,
        5.156941134272716,
        5.156963067146216,
        5.156985476821313,
        5.157007409694812,
        5.157029819369909,
        5.157051752243409,
        5.157074161918507,
        5.1570960947920055,
        5.157118504467103,
        5.157140437340603,
        5.1571628470157,
        5.157184779889199,
        5.157207189564296,
        5.157229122437796,
        5.157251532112893,
        5.1572734649863925,
        5.15729587466149,
        5.157317807534989,
        5.157340217210087,
        5.1573621500835864,
        5.157384559758683,
        5.157406492632183,
        5.15742890230728,
        5.1574508351807795,
        5.157473244855876,
        5.157495177729376,
        5.157517587404474,
        5.157539520277973,
        5.15756192995307,
        5.15758386282657,
        5.15760579570007,
        5.1576282053751665,
        5.157650138248666,
        5.157672547923763,
        5.157694480797263,
        5.15771689047236,
        5.157738823345859,
        5.157760756219359,
        5.157783165894456,
        5.157805098767955,
        5.157827508443053,
        5.157849441316552,
        5.1578713741900515,
        5.157893783865149,
        5.157915716738648,
        5.157938126413746,
        5.157960059287245,
        5.157981992160744,
        5.158004401835842,
        5.158026334709342,
        5.1580487443844385,
        5.158070677257938,
        5.158092610131438,
        5.158115019806535,
        5.158136952680034,
        5.158158885553534,
        5.158181295228631,
        5.15820322810213,
        5.15822516097563,
        5.158247570650727,
        5.1582695035242265,
        5.158291436397726,
        5.158313846072823,
        5.158335778946323,
        5.158357711819822,
        5.158380121494919,
        5.158402054368419,
        5.158423987241918,
        5.158446396917015,
        5.158468329790515,
        5.158490262664015,
        5.1585126723391115,
        5.158534605212611,
        5.158556538086111,
        5.158578947761208,
        5.158600880634707,
        5.158622813508207,
        5.1586447463817064,
        5.158667156056803,
        5.158689088930303,
        5.158711021803803,
        5.158732954677302,
        5.158755364352399,
        5.158777297225899,
        5.158799230099398,
        5.158821639774495,
        5.158843572647995,
        5.1588655055214945,
        5.158887438394994,
        5.158909371268493,
        5.158931780943591,
        5.15895371381709,
        5.15897564669059,
        5.1589975795640886,
        5.159019989239186,
        5.159041922112686,
        5.159063854986185,
        5.159085787859684,
        5.159108197534782,
        5.159130130408281,
        5.15915206328178,
        5.15917399615528,
        5.15919592902878,
        5.159218338703877,
        5.159240271577376,
        5.159262204450876,
        5.159284137324375,
        5.159306070197875,
        5.159328003071374,
        5.1593504127464715,
        5.159372345619971,
        5.15939427849347,
        5.1594162113669695,
        5.159438144240469,
        5.159460077113969,
        5.159482486789066,
        5.159504419662565,
        5.159526352536065,
        5.1595482854095644,
        5.159570218283064,
        5.159592151156563,
        5.159614084030062,
        5.15963649370516,
        5.159658426578659,
        5.1596803594521585,
        5.159702292325658,
        5.159746158072657,
        5.159768090946157,
        5.159790023819656,
        5.159811956693155,
        5.159834366368253,
        5.159856299241752,
        5.159878232115251,
        5.159900164988751,
        5.159922097862251,
        5.15994403073575,
        5.15996596360925,
        5.159987896482749,
        5.160009829356248,
        5.160031762229748,
        5.160053695103247,
        5.160075627976747,
        5.160097560850247,
        5.160119493723745,
        5.160141903398843,
        5.160163836272343,
        5.1601857691458415,
        5.160207702019341,
        5.160229634892841,
        5.16025156776634,
        5.16027350063984,
        5.1602954335133395,
        5.160317366386838,
        5.160339299260338,
        5.1603612321338375,
        5.160383165007337,
        5.160405097880837,
        5.160427030754336,
        5.160448963627835,
        5.160470896501335,
        5.160492829374834,
        5.160514762248334,
        5.160536695121833,
        5.160558627995332,
        5.160580560868832,
        5.160602493742331,
        5.160624426615831,
        5.160646359489331,
        5.16066829236283,
        5.160690225236329,
        5.1607121581098285,
        5.160734090983328,
        5.1607555470552295,
        5.160777479928729,
        5.160799412802229,
        5.160821345675728,
        5.160843278549228,
        5.160865211422727,
        5.160887144296226,
        5.160909077169726,
        5.1609310100432255,
        5.160952942916725,
        5.160974875790225,
        5.1609968086637235,
        5.161018741537223,
        5.161040674410723,
        5.161062130482624,
        5.161084063356124,
        5.161105996229623,
        5.161127929103123,
        5.1611498619766225,
        5.161171794850121,
        5.161193727723621,
        5.1612156605971204,
        5.16123759347062,
        5.1612590495425215,
        5.161280982416021,
        5.161302915289521,
        5.16132484816302,
        5.16134678103652,
        5.161368713910019,
        5.161390646783518,
        5.16141210285542,
        5.161434035728919,
        5.161455968602419,
        5.1614779014759185,
        5.161499834349418,
        5.161521767222918,
        5.161543223294819,
        5.161565156168319,
        5.161587089041817,
        5.161609021915317,
        5.161630954788817,
        5.161652887662316,
        5.161674343734218,
        5.161696276607717,
        5.161718209481217,
        5.1617401423547165,
        5.161762075228216,
        5.1617835313001175,
        5.161805464173617,
        5.161827397047116,
        5.161849329920615,
        5.161870785992518,
        5.161892718866016,
        5.161914651739516,
        5.161936584613016,
        5.161958517486515,
        5.161979973558417,
        5.162001906431916,
        5.162023839305416,
        5.1620457721789155,
        5.162067228250817,
        5.1620891611243165,
        5.162111093997815,
        5.162133026871315,
        5.162154482943217,
        5.162176415816716,
        5.162198348690215,
        5.162219804762117,
        5.1622417376356164,
        5.162263670509116,
        5.162285603382616,
        5.162307059454517,
        5.162328992328017,
        5.162350925201516,
        5.162372381273418,
        5.162394314146917,
        5.162416247020417,
        5.162437703092318,
        5.162459635965818,
        5.1624815688393175,
        5.162503024911219,
        5.1625249577847185,
        5.162546890658218,
        5.1625683467301196,
        5.162590279603619,
        5.162612212477119,
        5.16263366854902,
        5.16265560142252,
        5.1626775342960185,
        5.162698990367921,
        5.16272092324142,
        5.162742856114919,
        5.162764312186821,
        5.16278624506032,
        5.16280817793382,
        5.162829634005722,
        5.162851566879221,
        5.162873022951123,
        5.162894955824622,
        5.162916888698121,
        5.162938344770024,
        5.162960277643522,
        5.162981733715425,
        5.163003666588923,
        5.163025599462423,
        5.163047055534325,
        5.163068988407824,
        5.163090444479726,
        5.163112377353225,
        5.163134310226725,
        5.163155766298627,
        5.163177699172126,
        5.163199155244028,
        5.163221088117527,
        5.163242544189429,
        5.163264477062929,
        5.16328593313483,
        5.16330786600833,
        5.163329798881828,
        5.163351254953731,
        5.16337318782723,
        5.163394643899132,
        5.163416576772631,
        5.163438032844533,
        5.163459965718032,
        5.163481421789934,
        5.163503354663433,
        5.163524810735335,
        5.163546743608834,
        5.163568199680736,
        5.163590132554235,
        5.163611588626137,
        5.163633521499636,
        5.163654977571538,
        5.163676910445037,
        5.163698366516939,
        5.163720299390438,
        5.163741755462341,
        5.163763688335839,
        5.163785144407742,
        5.16380707728124,
        5.163828533353143,
        5.163850466226642,
        5.163871922298544,
        5.163893378370445,
        5.163915311243945,
        5.163936767315846,
        5.163958700189346,
        5.163980156261247,
        5.164002089134747,
        5.164023545206648,
        5.164045478080148,
        5.164066934152049,
        5.164088390223951,
        5.164110323097451,
        5.164131779169352,
        5.164153712042852,
        5.164175168114753,
        5.164196624186655,
        5.164218557060154,
        5.164240013132056,
        5.164261946005555,
        5.164283402077457,
        5.164304858149359,
        5.164326791022858,
        5.16434824709476,
        5.16437017996826,
        5.164391636040161,
        5.164413092112063,
        5.164435024985562,
        5.164456481057464,
        5.164477937129365,
        5.164499870002865,
        5.164521326074766,
        5.164542782146668,
        5.164564715020168,
        5.164586171092069,
        5.164607627163971,
        5.16462956003747,
        5.164651016109372,
        5.164672472181273,
        5.164694405054773,
        5.164715861126675,
        5.164737317198576,
        5.164759250072076,
        5.164780706143977,
        5.164802162215879,
        5.1648240950893785,
        5.16484555116128,
        5.164867007233182,
        5.164888940106681,
        5.164910396178583,
        5.164931852250485,
        5.164953308322386,
        5.164975241195886,
        5.164996697267787,
        5.165018153339689,
        5.165040086213188,
        5.16506154228509,
        5.165082998356992,
        5.165104454428893,
        5.165126387302393,
        5.165147843374294,
        5.1651692994461955,
        5.165190755518098,
        5.165212688391597,
        5.165234144463499,
        5.1652556005354,
        5.165277056607302,
        5.165298512679204,
        5.165320445552703,
        5.165341901624605,
        5.165363357696506,
        5.165384813768408,
        5.165406746641907,
        5.165428202713809,
        5.165449658785711,
        5.1654711148576125,
        5.165492570929514,
        5.165514027001415,
        5.165535959874915,
        5.165557415946816,
        5.165578872018719,
        5.16560032809062,
        5.165621784162521,
        5.165643717036021,
        5.165665173107922,
        5.165686629179825,
        5.165708085251726,
        5.1657295413236275,
        5.165750997395529,
        5.1657729302690285,
        5.165794386340931,
        5.165815842412832,
        5.165837298484734,
        5.165858754556635,
        5.165880210628537,
        5.165901666700439,
        5.16592312277234,
        5.16594505564584,
        5.165966511717741,
        5.1659879677896425,
        5.166009423861545,
        5.166030879933446,
        5.166052336005348,
        5.16607379207725,
        5.166095248149151,
        5.166116704221053,
        5.166138160292954,
        5.166160093166454,
        5.166181549238355,
        5.1662030053102574,
        5.166224461382159,
        5.16624591745406,
        5.166267373525962,
        5.166288829597864,
        5.166310285669765,
        5.166331741741667,
        5.166353197813569,
        5.1663746538854705,
        5.166396109957372,
        5.166417566029273,
        5.166439022101176,
        5.166460478173077,
        5.166481934244978,
        5.16650339031688,
        5.166524846388782,
        5.1665463024606835,
        5.166568235334183,
        5.1665896914060845,
        5.166611147477986,
        5.166632603549888,
        5.16665405962179,
        5.166675515693691,
        5.166696971765592,
        5.166718427837495,
        5.166739883909396,
        5.1667613399812975,
        5.166782319251602,
        5.166803775323503,
        5.166825231395404,
        5.166846687467307,
        5.166868143539208,
        5.1668895996111095,
        5.166911055683011,
        5.166932511754913,
        5.166953967826815,
        5.166975423898716,
        5.166996879970617,
        5.16701833604252,
        5.167039792114421,
        5.1670612481863225,
        5.167082704258224,
        5.167104160330126,
        5.167125616402028,
        5.167147072473929,
        5.167168528545831,
        5.1671895078161345,
        5.167210963888037,
        5.167232419959938,
        5.16725387603184,
        5.167275332103741,
        5.167296788175643,
        5.167318244247545,
        5.167339700319446,
        5.1673611563913475,
        5.16738261246325,
        5.167403591733553,
        5.167425047805455,
        5.167446503877357,
        5.167467959949258,
        5.1674894160211595,
        5.167510872093062,
        5.167532328164963,
        5.167553307435267,
        5.167574763507169,
        5.16759621957907,
        5.1676176756509715,
        5.167639131722874,
        5.167660587794775,
        5.167682043866677,
        5.167703023136981,
        5.167724479208882,
        5.1677459352807835,
        5.167767391352686,
        5.167788847424587,
        5.167809826694891,
        5.167831282766793,
        5.167852738838694,
        5.1678741949105955,
        5.167895650982498,
        5.167916630252801,
        5.167938086324703,
        5.167959542396605,
        5.167980998468506,
        5.1680024545404075,
        5.168023433810712,
        5.168044889882613,
        5.168066345954515,
        5.168087802026417,
        5.168108781296721,
        5.168130237368622,
        5.168151693440524,
        5.168173149512425,
        5.168194128782729,
        5.1682155848546305,
        5.168237040926533,
        5.168258496998434,
        5.168279476268738,
        5.16830093234064,
        5.168322388412541,
        5.1683438444844425,
        5.168364823754747,
        5.168386279826648,
        5.16840773589855,
        5.1684287151688535,
        5.168450171240756,
        5.168471627312657,
        5.168493083384559,
        5.168514062654863,
        5.168535518726764,
        5.1685569747986655,
        5.16857795406897,
        5.168599410140871,
        5.168620866212773,
        5.1686418454830765,
        5.168663301554979,
        5.16868475762688,
        5.168705736897184,
        5.168727192969086,
        5.168748649040987,
        5.168769628311291,
        5.168791084383193,
        5.168812540455094,
        5.168833519725398,
        5.1688549757972995,
        5.168876431869202,
        5.168897411139505,
        5.168918867211407,
        5.1689398464817105,
        5.168961302553613,
        5.168982758625514,
        5.169003737895817,
        5.16902519396772,
        5.169046650039621,
        5.169067629309925,
        5.1690890853818265,
        5.169110064652131,
        5.169131520724032,
        5.169152976795933,
        5.1691739560662375,
        5.169195412138139,
        5.169216391408443,
        5.169237847480344,
        5.1692588267506485,
        5.16928028282255,
        5.169301738894451,
        5.169322718164755,
        5.169344174236657,
        5.169365153506961,
        5.169386609578862,
        5.169407588849166,
        5.169429044921068,
        5.169450024191372,
        5.169471480263273,
        5.169492459533577,
        5.169513915605479,
        5.169534894875783,
        5.169556350947684,
        5.169577807019586,
        5.16959878628989,
        5.169620242361791,
        5.169641221632095,
        5.169662677703997,
        5.169683656974301,
        5.169705113046202,
        5.169726092316506,
        5.169747548388408,
        5.169768527658712,
        5.169789506929016,
        5.169810963000917,
        5.169831942271221,
        5.169853398343123,
        5.169874377613427,
        5.169895833685328,
        5.169916812955632,
        5.169938269027534,
        5.169959248297838,
        5.169980704369739,
        5.170001683640043,
        5.170023139711945,
        5.170044118982249,
        5.170065098252552,
        5.170086554324453,
        5.1701075335947575,
        5.170128989666659,
        5.170149968936963,
        5.170171425008864,
        5.1701924042791685,
        5.170213383549473,
        5.170234839621374,
        5.170255818891678,
        5.1702772749635795,
        5.170298254233884,
        5.170319233504187,
        5.170340689576089,
        5.170361668846392,
        5.1703831249182945,
        5.170404104188598,
        5.170425083458902,
        5.170446539530803,
        5.170467518801107,
        5.170488498071411,
        5.170509954143313,
        5.170530933413617,
        5.17055191268392,
        5.170573368755822,
        5.170594348026126,
        5.17061532729643,
        5.170636783368331,
        5.170657762638635,
        5.170678741908939,
        5.170700197980841,
        5.170721177251145,
        5.170742156521448,
        5.17076361259335,
        5.1707845918636535,
        5.170805571133958,
        5.170827027205859,
        5.170848006476163,
        5.170868985746467,
        5.1708904418183685,
        5.170911421088673,
        5.170932400358976,
        5.17095337962928,
        5.170974835701181,
        5.170995814971485,
        5.1710167942417895,
        5.171038250313691,
        5.171059229583995,
        5.171080208854299,
        5.171101188124602,
        5.171122644196504,
        5.171143623466808,
        5.171164602737112,
        5.171185582007416,
        5.171207038079317,
        5.1712280173496215,
        5.171248996619925,
        5.171269975890229,
        5.171290955160533,
        5.171312411232434,
        5.171333390502738,
        5.1713543697730415,
        5.171375349043346,
        5.171396805115247,
        5.171417784385551,
        5.171438763655855,
        5.171459742926158,
        5.1714807221964625,
        5.171502178268364,
        5.171523157538668,
        5.171544136808972,
        5.171565116079275,
        5.171586095349579,
        5.1716070746198834,
        5.171628530691785,
        5.171670489232393,
        5.171691468502696,
        5.171712447773,
        5.171733427043304,
        5.171754883115206,
        5.17177586238551,
        5.171796841655813,
        5.171817820926117,
        5.172297960135117,
        5.173663043109658,
        5.174289083607588,
        5.174309586076294,
        5.174330565346598,
        5.1743515446169015,
        5.174372047085608,
        5.1743930263559115,
        5.174414005626216,
        5.17443498489652,
        5.1744554873652255,
        5.17447646663553,
        5.174497445905833,
        5.174517948374539,
        5.174538927644843,
        5.174559906915147,
        5.174580409383853,
        5.174601388654157,
        5.17462236792446,
        5.174642870393167,
        5.17466384966347,
        5.174684352132176,
        5.17470533140248,
        5.174726310672784,
        5.17474681314149,
        5.174767792411794,
        5.174788771682097,
        5.174809274150803,
        5.174830253421107,
        5.174850755889813,
        5.174871735160117,
        5.174892714430421,
        5.174913216899127,
        5.174934196169431,
        5.174954698638137,
        5.17497567790844,
        5.1749966571787445,
        5.17501715964745,
        5.175038138917754,
        5.17505864138646,
        5.175079620656764,
        5.17510012312547,
        5.175121102395774,
        5.175142081666078,
        5.1751625841347835,
        5.175183563405088,
        5.1752040658737934,
        5.175370469631431,
        5.1753909721001365,
        5.175411951370441,
        5.1754324538391465,
        5.175453433109451,
        5.1754739355781565,
        5.175494914848461,
        5.1755154173171665,
        5.1755363965874706,
        5.175556899056176,
        5.175577401524882,
        5.175598380795186,
        5.175618883263892,
        5.1756398625341955,
        5.175660365002902,
        5.1756813442732055,
        5.175701846741911,
        5.1757228260122154,
        5.175743328480921,
        5.175764307751225,
        5.175784810219931,
        5.175805789490235,
        5.175826291958941,
        5.175846794427647,
        5.175867773697951,
        5.175888276166657,
        5.175909255436961,
        5.175929757905667,
        5.175950737175971,
        5.175971239644677,
        5.175991742113383,
        5.176012721383686,
        5.176033223852393,
        5.176054203122696,
        5.176074705591402,
        5.176095208060109,
        5.176116187330412,
        5.176136689799118,
        5.176157669069422,
        5.176178171538128,
        5.176198674006834,
        5.176219653277138,
        5.176240155745844,
        5.17626065821455,
        5.176281637484854,
        5.17630213995356,
        5.1763226424222655,
        5.17634362169257,
        5.1763641241612754,
        5.176384626629981,
        5.176405605900285,
        5.176426108368991,
        5.176446610837697,
        5.176467590108001,
        5.176488092576707,
        5.176508595045413,
        5.176529574315717,
        5.176550076784423,
        5.176570579253129,
        5.176591558523433,
        5.176612060992139,
        5.176632563460845,
        5.176653542731149,
        5.176674045199855,
        5.176694547668561,
        5.1767150501372665,
        5.176736029407571,
        5.1767565318762765,
        5.176777034344982,
        5.176797536813689,
        5.176818516083992,
        5.176839018552698,
        5.176859521021405,
        5.176880023490111,
        5.176901002760414,
        5.176921505229121,
        5.176942007697827,
        5.176962510166533,
        5.176983489436837,
        5.177003991905543,
        5.1770244943742485,
        5.177044996842954,
        5.1770659761132585,
        5.177086478581964,
        5.17710698105067,
        5.177127483519376,
        5.177147985988082,
        5.177168965258386,
        5.177189467727092,
        5.177209970195798,
        5.177230472664504,
        5.1772509751332105,
        5.177271954403514,
        5.17729245687222,
        5.177312959340926,
        5.177333461809632,
        5.177353964278338,
        5.177374466747044,
        5.177395446017348,
        5.177415948486054,
        5.17743645095476,
        5.177456953423466,
        5.177477455892172,
        5.177497958360878,
        5.1775184608295834,
        5.1775394400998875,
        5.177559942568593,
        5.177580445037299,
        5.177600947506006,
        5.177621449974712,
        5.177641952443418,
        5.177662454912124,
        5.17768295738083,
        5.177703936651134,
        5.17772443911984,
        5.1777449415885455,
        5.177765444057251,
        5.177785946525957,
        5.177806448994664,
        5.17782695146337,
        5.177847453932076,
        5.177867956400782,
        5.177888458869488,
        5.1779089613381934,
        5.177929463806899,
        5.177949966275606,
        5.177970945545909,
        5.177991448014615,
        5.178011950483322,
        5.178032452952028,
        5.178052955420734,
        5.17807345788944,
        5.1780939603581455,
        5.178114462826851,
        5.178134965295557,
        5.178155467764264,
        5.17817597023297,
        5.178196472701676,
        5.178216975170382,
        5.178237477639088,
        5.1782579801077935,
        5.178278482576499,
        5.178298985045206,
        5.178319487513912,
        5.178339989982618,
        5.178360492451324,
        5.17838099492003,
        5.178401497388736,
        5.1784219998574414,
        5.178442502326148,
        5.178463004794854,
        5.17848350726356,
        5.178504009732266,
        5.178524512200972,
        5.178545014669678,
        5.1785655171383835,
        5.178585542805492,
        5.178606045274198,
        5.178626547742904,
        5.17864705021161,
        5.1786675526803165,
        5.178688055149022,
        5.178708557617728,
        5.178729060086434,
        5.17874956255514,
        5.178770065023846,
        5.178790567492552,
        5.178811069961259,
        5.178831095628366,
        5.178851598097072,
        5.178872100565778,
        5.178892603034485,
        5.178913105503191,
        5.178933607971897,
        5.1789541104406025,
        5.178974612909308,
        5.178995115378014,
        5.179015141045123,
        5.179035643513829,
        5.179056145982535,
        5.1790766484512405,
        5.179097150919946,
        5.179117653388653,
        5.179138155857359,
        5.179158181524467,
        5.179178683993173,
        5.179199186461879,
        5.179219688930585,
        5.179240191399291,
        5.179260693867997,
        5.179280719535106,
        5.1793012220038115,
        5.179321724472517,
        5.179342226941223,
        5.179362729409929,
        5.179382755077038,
        5.179403257545744,
        5.1794237600144495,
        5.179444262483155,
        5.179464764951861,
        5.17948479061897,
        5.179505293087676,
        5.179525795556382,
        5.1795462980250875,
        5.179566323692196,
        5.179586826160902,
        5.179607328629608,
        5.179627831098314,
        5.179647856765422,
        5.179668359234128,
        5.179688861702834,
        5.17970936417154,
        5.1797293898386485,
        5.179749892307354,
        5.17977039477606,
        5.179790897244766,
        5.179810922911875,
        5.179831425380581,
        5.1798519278492865,
        5.179871953516395,
        5.179892455985101,
        5.179912958453807,
        5.179933460922513,
        5.179953486589621,
        5.179973989058327,
        5.179994491527033,
        5.180014517194142,
        5.1800350196628475,
        5.180055522131553,
        5.180075547798661,
        5.180096050267368,
        5.180116552736074,
        5.180136578403181,
        5.180157080871887,
        5.180177583340594,
        5.180197609007702,
        5.180218111476408,
        5.1802386139451135,
        5.180258639612222,
        5.180279142080928,
        5.180299644549634,
        5.1803196702167424,
        5.180340172685448,
        5.180360198352557,
        5.180380700821263,
        5.180401203289969,
        5.180421228957076,
        5.180441731425783,
        5.180461757092891,
        5.180482259561597,
        5.180502762030303,
        5.180522787697411,
        5.180543290166117,
        5.180563315833226,
        5.1805838183019315,
        5.180604320770637,
        5.180624346437746,
        5.180644848906452,
        5.1806648745735595,
        5.180685377042265,
        5.180705402709374,
        5.18072590517808,
        5.180745930845188,
        5.180766433313894,
        5.1807869357826,
        5.180806961449709,
        5.180827463918415,
        5.180847489585522,
        5.180867992054229,
        5.180888017721337,
        5.180908520190043,
        5.180928545857151,
        5.180949048325857,
        5.180969073992966,
        5.180989576461672,
        5.181009602128779,
        5.181030104597485,
        5.181050130264594,
        5.1810706327333,
        5.181090658400408,
        5.181111160869114,
        5.181131186536222,
        5.1811516890049285,
        5.181171714672036,
        5.181192217140742,
        5.181212242807851,
        5.1812327452765565,
        5.181252770943665,
        5.181272796610773,
        5.181293299079479,
        5.181313324746587,
        5.181333827215293,
        5.181353852882402,
        5.181374355351108,
        5.181394381018215,
        5.181414883486921,
        5.18143490915403,
        5.181454934821138,
        5.181475437289844,
        5.181495462956952,
        5.181515965425658,
        5.181535991092766,
        5.181556016759875,
        5.181576519228581,
        5.181596544895688,
        5.181617047364395,
        5.181637073031503,
        5.1816570986986115,
        5.181677601167317,
        5.181697626834425,
        5.181717652501534,
        5.1817381549702395,
        5.181758180637348,
        5.181778683106054,
        5.181798708773162,
        5.18181873444027,
        5.181839236908976,
        5.181859262576085,
        5.181879288243192,
        5.181899790711898,
        5.181919816379007,
        5.181939842046115,
        5.181960344514821,
        5.181980370181929,
        5.1820003958490375,
        5.182020898317743,
        5.182040923984852,
        5.18206094965196,
        5.182080975319068,
        5.182101477787774,
        5.182121503454883,
        5.18214152912199,
        5.182162031590696,
        5.182182057257805,
        5.1822020829249125,
        5.182222108592021,
        5.182242611060727,
        5.1822626367278355,
        5.182282662394943,
        5.182303164863649,
        5.182323190530758,
        5.182343216197866,
        5.182363241864974,
        5.18238374433368,
        5.182403770000788,
        5.182423795667896,
        5.182443821335005,
        5.182463847002113,
        5.182484349470819,
        5.182504375137927,
        5.182524400805035,
        5.182544426472144,
        5.18256492894085,
        5.182584954607957,
        5.182604980275066,
        5.182625005942174,
        5.182645031609282,
        5.182665534077988,
        5.182685559745097,
        5.182705585412204,
        5.182725611079313,
        5.182745636746421,
        5.182765662413529,
        5.182786164882235,
        5.182806190549344,
        5.182826216216451,
        5.18284624188356,
        5.182866267550668,
        5.182886293217776,
        5.182906795686482,
        5.182926821353591,
        5.182946847020698,
        5.182966872687807,
        5.182986898354915,
        5.183006924022023,
        5.183026949689132,
        5.183047452157838,
        5.183067477824945,
        5.183087503492054,
        5.183107529159162,
        5.18312755482627,
        5.183147580493379,
        5.183167606160486,
        5.183187631827595,
        5.183207657494703,
        5.183227683161811,
        5.183248185630517,
        5.183268211297626,
        5.183288236964733,
        5.183308262631842,
        5.1833282882989495,
        5.183348313966058,
        5.183368339633167,
        5.183388365300274,
        5.183408390967383,
        5.183428416634491,
        5.183448442301599,
        5.183468467968708,
        5.183488493635815,
        5.183508519302924,
        5.183528544970032,
        5.18354857063714,
        5.183568596304248,
        5.1835886219713565,
        5.183608647638465,
        5.183628673305573,
        5.183648698972681,
        5.183668724639789,
        5.183688750306898,
        5.183708775974006,
        5.183728801641114,
        5.183748827308222,
        5.18376885297533,
        5.183788878642439,
        5.183808904309546,
        5.183828929976655,
        5.1838489556437635,
        5.183868981310871,
        5.18388900697798,
        5.183909032645087,
        5.183929058312196,
        5.183949083979304,
        5.183969109646412,
        5.183989135313521,
        5.1840091609806285,
        5.184029186647737,
        5.184049212314845,
        5.184069237981953,
        5.184089263649062,
        5.1841092893161695,
        5.18412883818168,
        5.1841488638487885,
        5.184168889515896,
        5.184188915183005,
        5.184208940850112,
        5.184228966517221,
        5.1842489921843296,
        5.184269017851437,
        5.184289043518546,
        5.1843090691856535,
        5.184328618051164,
        5.184348643718272,
        5.184368669385381,
        5.184388695052489,
        5.184408720719597,
        5.184428746386705,
        5.1844487720538135,
        5.184468320919324,
        5.1844883465864315,
        5.18450837225354,
        5.184528397920649,
        5.184548423587756,
        5.184568449254865,
        5.184588474921973,
        5.184608023787483,
        5.1846280494545915,
        5.1846480751217,
        5.184668100788808,
        5.184688126455916,
        5.184707675321427,
        5.184727700988534,
        5.184747726655643,
        5.184767752322751,
        5.184787777989859,
        5.18480732685537,
        5.184827352522478,
        5.184847378189586,
        5.184867403856694,
        5.184887429523802,
        5.1849069783893125,
        5.184927004056421,
        5.18494702972353,
        5.184967055390637,
        5.184986604256148,
        5.185006629923256,
        5.185026655590364,
        5.1850466812574725,
        5.185066230122983,
        5.1850862557900905,
        5.185106281457199,
        5.1851258303227095,
        5.185145855989818,
        5.185165881656926,
        5.185185907324034,
        5.185205456189545,
        5.185225481856652,
        5.185245507523761,
        5.185265056389271,
        5.18528508205638,
        5.1853051077234875,
        5.185325133390596,
        5.1853446822561065,
        5.185364707923214,
        5.185384733590323,
        5.185404282455833,
        5.185424308122942,
        5.185444333790049,
        5.18546388265556,
        5.185483908322668,
        5.185503933989776,
        5.185523482855286,
        5.185543508522395,
        5.1855635341895026,
        5.185583083055013,
        5.1856031087221215,
        5.185622657587632,
        5.18564268325474,
        5.185662708921848,
        5.1856822577873585,
        5.185702283454467,
        5.185722309121575,
        5.185741857987085,
        5.185761883654194,
        5.185781432519704,
        5.185801458186813,
        5.18582148385392,
        5.185841032719431,
        5.185861058386539,
        5.18588060725205,
        5.185900632919157,
        5.185920181784668,
        5.185940207451776,
        5.185960233118885,
        5.185979781984395,
        5.185999807651503,
        5.186019356517013,
        5.186039382184122,
        5.186058931049632,
        5.18607895671674,
        5.18609850558225,
        5.186118531249359,
        5.186138080114869,
        5.186158105781978,
        5.186178131449085,
        5.186197680314596,
        5.186217705981704,
        5.186237254847215,
        5.186257280514322,
        5.186276829379833,
        5.186296855046941,
        5.186316403912452,
        5.18633642957956,
        5.186355978445071,
        5.186376004112178,
        5.186395552977689,
        5.186415578644797,
        5.1864351275103076,
        5.186454676375818,
        5.186474702042926,
        5.186494250908436,
        5.1865142765755445,
        5.186533825441055,
        5.1865538511081635,
        5.186573399973674,
        5.1865934256407815,
        5.186612974506292,
        5.1866330001734005,
        5.186652549038911,
        5.186672097904421,
        5.186711672437039,
        5.186751246969658,
        5.186771272636767,
        5.186790821502277,
        5.1868103703677875,
        5.186830396034895,
        5.1868499449004055,
        5.186869970567514,
        5.1868895194330245,
        5.186909068298535,
        5.1869290939656425,
        5.186948642831153,
        5.186968191696663,
        5.186988217363772,
        5.187007766229282,
        5.1870273150947925,
        5.187047340761901,
        5.1870668896274115,
        5.187086915294519,
        5.1871064641600295,
        5.18712601302554,
        5.1871460386926485,
        5.187165587558159,
        5.187185136423669,
        5.187205162090777,
        5.187224710956287,
        5.1872442598217985,
        5.187264285488906,
        5.1872838343544165,
        5.187303383219927,
        5.187322932085437,
        5.187342957752546,
        5.187362506618056,
        5.187382055483567,
        5.187402081150674,
        5.187421630016185,
        5.187441178881695,
        5.187460727747205,
        5.187480753414314,
        5.187500302279824,
        5.187519851145335,
        5.187539876812443,
        5.187559425677954,
        5.187578974543464,
        5.187598523408974,
        5.187618549076082,
        5.187638097941592,
        5.187657646807103,
        5.187677195672613,
        5.1876967445381235,
        5.187716770205232,
        5.187736319070742,
        5.187755867936253,
        5.187775416801763,
        5.187795442468872,
        5.187814991334382,
        5.187834540199892,
        5.187854089065403,
        5.187873637930913,
        5.187893663598021,
        5.187913212463531,
        5.187932761329042,
        5.187952310194552,
        5.187971859060062,
        5.187991407925573,
        5.188011433592681,
        5.188030982458192,
        5.188050531323702,
        5.188070080189212,
        5.188089629054723,
        5.188109177920233,
        5.188129203587342,
        5.188148752452852,
        5.188168301318362,
        5.188187850183873,
        5.188207399049383,
        5.1882269479148935,
        5.188246496780404,
        5.188266045645914,
        5.188286071313022,
        5.188305620178532,
        5.188325169044043,
        5.188344717909553,
        5.188364266775063,
        5.188383815640574,
        5.188403364506084,
        5.1884229133715944,
        5.188442462237105,
        5.188462011102615,
        5.1884815599681255,
        5.188501585635234,
        5.1885211345007445,
        5.188540683366255,
        5.188560232231765,
        5.188579781097276,
        5.188599329962786,
        5.188618878828296,
        5.188638427693807,
        5.188657976559317,
        5.188677525424827,
        5.188697074290338,
        5.188716623155848,
        5.1887361720213585,
        5.188755720886869,
        5.188775269752379,
        5.18879481861789,
        5.1888143674834,
        5.18883391634891,
        5.188853465214421,
        5.188873014079931,
        5.188892562945441,
        5.188912111810952,
        5.188931660676462,
        5.1889512095419725,
        5.188970758407483,
        5.188990307272993,
        5.189009856138504,
        5.189029405004014,
        5.189048953869525,
        5.189068502735036,
        5.189088051600546,
        5.189107600466056,
        5.189127149331567,
        5.189146698197077,
        5.1891662470625874,
        5.189185795928098,
        5.189205344793608,
        5.18922441685752,
        5.189243965723031,
        5.189263514588541,
        5.189283063454051,
        5.189302612319562,
        5.189322161185072,
        5.1893417100505825,
        5.189361258916093,
        5.189380807781603,
        5.189400356647114,
        5.189419905512624,
        5.189438977576537,
        5.189458526442047,
        5.189478075307558,
        5.189497624173068,
        5.19648205237865,
        5.204285625729276,
        5.204308035404373,
        5.204330921881068,
        5.204353808357763,
        5.204376694834458,
        5.204399104509555,
        5.20442199098625,
        5.2044448774629455,
        5.204467287138042,
        5.2044901736147375,
        5.204558356243226,
        5.204581242719921,
        5.204603652395018,
        5.204626538871713,
        5.204649425348408,
        5.204671835023505,
        5.2046947215002,
        5.204717607976895,
        5.204740017651993,
        5.204785790605382,
        5.20480820028048,
        5.204831086757175,
        5.20485397323387,
        5.204876382908967,
        5.204899269385662,
        5.2049221558623575,
        5.204944565537454,
        5.204989861689247,
        5.2050127481659425,
        5.205035634642638,
        5.2050580443177346,
        5.20508093079443,
        5.205103340469527,
        5.205126226946222,
        5.205149113422917,
        5.205171523098015,
        5.20519440957471,
        5.205216819249807,
        5.205239705726502,
        5.205262592203197,
        5.205285001878294,
        5.205307888354989,
        5.205330298030087,
        5.205353184506782,
        5.205375594181879,
        5.205624961417536,
        5.205647847894231,
        5.205670257569328,
        5.205693144046023,
        5.20571555372112,
        5.205738440197815,
        5.20576132667451,
        5.205783736349608,
        5.2058066228263025,
        5.2058290325014,
        5.205851918978095,
        5.205874328653192,
        5.20589673832829,
        5.205919624804985,
        5.205942034480082,
        5.205964920956777,
        5.205987330631874,
        5.206010217108569,
        5.206032626783667,
        5.206055513260362,
        5.206077922935459,
        5.206100809412154,
        5.206123219087251,
        5.206146105563946,
        5.206168515239044,
        5.206191401715739,
        5.206213811390836,
        5.206236221065933,
        5.206259107542628,
        5.206281517217726,
        5.206304403694421,
        5.206326813369518,
        5.206349699846213,
        5.20637210952131,
        5.206394519196408,
        5.206417405673103,
        5.2064398153482,
        5.206462701824895,
        5.206485111499992,
        5.20650752117509,
        5.206530407651785,
        5.206552817326882,
        5.206575703803577,
        5.206598113478674,
        5.206620523153772,
        5.206643409630467,
        5.206665819305564,
        5.206688705782259,
        5.206711115457357,
        5.206733525132454,
        5.206756411609149,
        5.206778821284246,
        5.206801230959344,
        5.206824117436039,
        5.206846527111136,
        5.206868936786233,
        5.206891823262928,
        5.206914232938026,
        5.2069366426131225,
        5.206959529089818,
        5.2069819387649146,
        5.207004348440012,
        5.2070272349167075,
        5.207049644591804,
        5.207072054266902,
        5.2070949407435965,
        5.207117350418694,
        5.207139760093791,
        5.207162646570486,
        5.207185056245584,
        5.207207465920681,
        5.207229875595778,
        5.207252762072473,
        5.207275171747571,
        5.207297581422668,
        5.207320467899363,
        5.20734287757446,
        5.207365287249558,
        5.207387696924655,
        5.20741058340135,
        5.207432993076448,
        5.2074554027515445,
        5.20747828922824,
        5.207860684109686,
        5.207950799611673,
        5.207973209286771,
        5.207996095763466,
        5.208085734463855,
        5.2081081441389525,
        5.208153440290745,
        5.2081758499658415,
        5.208243078991133,
        5.208265488666231,
        5.208310784818023,
        5.2084004235184125,
        5.21187797597207,
        5.217650851317606,
        5.217737629208408,
        5.217759562081907,
        5.217781494955407,
        5.2178468167743075,
        5.217868272846209,
        5.217912138593208,
        5.2179335946651095,
        5.217955527538609,
        5.217977460412109,
        5.2180427822310085,
        5.218064238302911,
        5.21808617117641,
        5.218129560121811,
        5.21815149299531,
        5.218172949067212,
        5.218194881940712,
        5.218216338012613,
        5.218238270886113,
        5.218281659831514,
        5.218303592705014,
        5.218325048776915,
        5.218346981650415,
        5.218368914523913,
        5.218390370595816,
        5.218412303469315,
        5.218433759541217,
        5.218455692414716,
        5.218477148486618,
        5.218499081360117,
        5.218520537432019,
        5.218542470305518,
        5.218564403179018,
        5.218585859250919,
        5.218607792124419,
        5.21862924819632,
        5.21865118106982,
        5.218672637141721,
        5.218694570015221,
        5.218716026087122,
        5.218737958960622,
        5.218759415032523,
        5.218781347906023,
        5.218802803977924,
        5.218824736851424,
        5.218846192923325,
        5.218868125796825,
        5.218889581868727,
        5.218911514742226,
        5.218932970814128,
        5.218954903687627,
        5.218976359759529,
        5.218998292633029,
        5.21901974870493,
        5.219063137650331,
        5.219085070523831,
        5.219106526595732,
        5.219127982667634,
        5.219149915541133,
        5.219171371613035,
        5.219193304486534,
        5.219214760558436,
        5.219236693431935,
        5.219258149503838,
        5.219280082377336,
        5.219301538449239,
        5.21932299452114,
        5.21934492739464,
        5.219366383466541,
        5.219388316340041,
        5.219409772411942,
        5.2194312284838436,
        5.219453161357343,
        5.219474617429245,
        5.219496550302744,
        5.219518006374646,
        5.219539462446548,
        5.2195613953200475,
        5.219582851391949,
        5.21960430746385,
        5.21962624033735,
        5.219647696409251,
        5.219669629282751,
        5.219691085354652,
        5.219712541426555,
        5.219734474300053,
        5.219755930371956,
        5.219777386443857,
        5.219799319317357,
        5.219820775389258,
        5.219842231461159,
        5.219864164334659,
        5.219907076478463,
        5.2199290093519615,
        5.220187912619575,
        5.220209368691477,
        5.220231301564976,
        5.220252757636878,
        5.220274213708779,
        5.220296146582279,
        5.22031760265418,
        5.220339058726082,
        5.220360514797984,
        5.220382447671483,
        5.220403903743385,
        5.2204253598152865,
        5.220446815887188,
        5.220468271959089,
        5.220490204832589,
        5.220511660904491,
        5.220533116976393,
        5.220554573048294,
        5.220576505921794,
        5.220597961993695,
        5.2206194180655965,
        5.220640874137499,
        5.2206623302094,
        5.2206842630829,
        5.220705719154801,
        5.220727175226703,
        5.220748631298605,
        5.220770087370506,
        5.220792020244006,
        5.220813476315907,
        5.220834932387809,
        5.22085638845971,
        5.220877844531612,
        5.220899300603514,
        5.220921233477013,
        5.220942689548915,
        5.221049969908423,
        5.221071425980325,
        5.221093358853824,
        5.221114814925726,
        5.2211362709976274,
        5.221157727069529,
        5.221179183141431,
        5.2212006392133326,
        5.221222095285234,
        5.221243551357135,
        5.221265007429038,
        5.221286940302536,
        5.221308396374439,
        5.22132985244634,
        5.2213513085182415,
        5.221372764590143,
        5.221394220662045,
        5.221415676733947,
        5.221437132805848,
        5.22145858887775,
        5.221480044949652,
        5.221501501021553,
        5.2215229570934545,
        5.221544413165357,
        5.221565869237258,
        5.221587802110758,
        5.221609258182659,
        5.221630714254561,
        5.221652170326462,
        5.221673626398364,
        5.221695082470266,
        5.221716538542167,
        5.221737994614069,
        5.221759450685971,
        5.221780906757872,
        5.221802362829774,
        5.221823818901676,
        5.221845274973577,
        5.221866731045479,
        5.22188818711738,
        5.221909643189282,
        5.221931099261184,
        5.221952555333085,
        5.221974011404987,
        5.221995467476889,
        5.22201692354879,
        5.222038379620692,
        5.222059835692593,
        5.222081291764495,
        5.222102271034799,
        5.222123727106701,
        5.222145183178602,
        5.222166639250504,
        5.222188095322405,
        5.222209551394307,
        5.222231007466209,
        5.22225246353811,
        5.2222739196100125,
        5.222295375681914,
        5.222316831753815,
        5.222338287825717,
        5.222359743897619,
        5.22238119996952,
        5.2224021792398245,
        5.222423635311726,
        5.222445091383627,
        5.222466547455529,
        5.222488003527431,
        5.222509459599332,
        5.222530915671234,
        5.222552371743135,
        5.2228303470746615,
        5.222851803146563,
        5.222872782416867,
        5.222894238488768,
        5.22291569456067,
        5.222937150632572,
        5.2229586067044735,
        5.222980062776375,
        5.223001042046679,
        5.22302249811858,
        5.223043954190482,
        5.223065410262384,
        5.2230868663342855,
        5.223107845604589,
        5.223129301676491,
        5.223150757748392,
        5.223172213820294,
        5.223193193090598,
        5.223214649162499,
        5.223236105234402,
        5.223257561306303,
        5.223278540576606,
        5.2232999966485085,
        5.22332145272041,
        5.223342908792311,
        5.223363888062615,
        5.223385344134517,
        5.223406800206419,
        5.2234282562783205,
        5.223449235548624,
        5.223470691620526,
        5.223492147692427,
        5.223513603764329,
        5.223534583034633,
        5.223556039106534,
        5.223577495178436,
        5.22359847444874,
        5.223619930520641,
        5.2236413865925435,
        5.223662365862847,
        5.223683821934749,
        5.22370527800665,
        5.223726734078552,
        5.223747713348856,
        5.223769169420757,
        5.223790625492659,
        5.223811604762963,
        5.223833060834864,
        5.2238545169067665,
        5.22387549617707,
        5.223896952248972,
        5.223917931519275,
        5.2239393875911775,
        5.223960843663079,
        5.223981822933383,
        5.224003279005284,
        5.224024735077186,
        5.22404571434749,
        5.224067170419391,
        5.224088626491293,
        5.224577348129053,
        5.224598327399357,
        5.224619783471258,
        5.224640762741561,
        5.224662218813464,
        5.224683198083767,
        5.224704654155669,
        5.224725633425972,
        5.224747089497875,
        5.224768068768178,
        5.22478952484008,
        5.224810504110383,
        5.224831960182286,
        5.224852939452589,
        5.224874395524491,
        5.224895374794794,
        5.224916830866697,
        5.224937810137,
        5.224959266208902,
        5.224980245479205,
        5.225001701551107,
        5.225022680821411,
        5.225044136893312,
        5.225065116163616,
        5.22508609543392,
        5.225107551505822,
        5.225128530776126,
        5.225149986848027,
        5.225170966118331,
        5.225192422190233,
        5.225213401460537,
        5.22523438073084,
        5.225255836802742,
        5.225276816073046,
        5.225298272144948,
        5.225319251415251,
        5.225340230685555,
        5.225361686757457,
        5.225382666027761,
        5.225404122099662,
        5.225425101369966,
        5.22544608064027,
        5.225467536712172,
        5.225488515982476,
        5.225509972054377,
        5.225530951324681,
        5.2255519305949845,
        5.225573386666887,
        5.22559436593719,
        5.225615345207494,
        5.2256368012793954,
        5.2256577805496995,
        5.225678759820004,
        5.225700215891905,
        5.225721195162209,
        5.225742174432512,
        5.225763630504415,
        5.225784609774718,
        5.225805589045022,
        5.225827045116923,
        5.225848024387227,
        5.2258690036575315,
        5.225890459729433,
        5.225911438999737,
        5.22593241827004,
        5.225953397540344,
        5.225974853612246,
        5.22599583288255,
        5.226016812152854,
        5.226038268224755,
        5.226059247495059,
        5.2260802267653625,
        5.226101206035667,
        5.226122662107568,
        5.226143641377872,
        5.226164620648176,
        5.22618559991848,
        5.226207055990382,
        5.226228035260685,
        5.226249014530989,
        5.226269993801293,
        5.2262914498731945,
        5.226312429143499,
        5.226333408413803,
        5.226354387684106,
        5.226375843756008,
        5.226396823026311,
        5.2264178022966155,
        5.2264387815669195,
        5.226459760837223,
        5.226481216909125,
        5.226502196179428,
        5.226523175449732,
        5.226544154720036,
        5.22656513399034,
        5.226586590062242,
        5.226607569332545,
        5.226628548602849,
        5.226649527873153,
        5.2266705071434565,
        5.226691486413761,
        5.226712942485662,
        5.226733921755966,
        5.22675490102627,
        5.226775880296574,
        5.2267968595668775,
        5.2268178388371815,
        5.226838818107486,
        5.226860274179387,
        5.226881253449691,
        5.226902232719994,
        5.226923211990298,
        5.2269441912606025,
        5.226965170530906,
        5.22698614980121,
        5.227007129071514,
        5.227028108341818,
        5.227049564413719,
        5.2270705436840235,
        5.227091522954327,
        5.227112502224631,
        5.227133481494935,
        5.227154460765238,
        5.227175440035542,
        5.227196419305846,
        5.227217398576149,
        5.2272383778464535,
        5.227259357116758,
        5.227280336387062,
        5.227301315657365,
        5.227322771729267,
        5.22734375099957,
        5.2273647302698745,
        5.227385709540179,
        5.227406688810482,
        5.227427668080786,
        5.22744864735109,
        5.227469626621393,
        5.227490605891697,
        5.227511585162001,
        5.227532564432305,
        5.227553543702609,
        5.227574522972913,
        5.227595502243217,
        5.22761648151352,
        5.227637460783824,
        5.227658440054128,
        5.227679419324431,
        5.2277003985947355,
        5.2277213778650395,
        5.227742357135344,
        5.227763336405647,
        5.227784315675951,
        5.227805294946255,
        5.227826274216558,
        5.227847253486862,
        5.227868232757166,
        5.227888735225872,
        5.227909714496176,
        5.22793069376648,
        5.227951673036784,
        5.227972652307088,
        5.227993631577391,
        5.228014610847695,
        5.228035590117999,
        5.228056569388303,
        5.228077548658606,
        5.2280985279289105,
        5.228412263380272,
        5.228433242650576,
        5.22845422192088,
        5.228475201191183,
        5.22849570365989,
        5.228516682930193,
        5.228537662200497,
        5.228558641470801,
        5.228579620741105,
        5.228600600011409,
        5.228621102480115,
        5.228642081750419,
        5.228663061020723,
        5.228684040291026,
        5.22870501956133,
        5.228725522030036,
        5.22874650130034,
        5.228767480570644,
        5.228788459840947,
        5.228809439111251,
        5.228829941579957,
        5.228850920850261,
        5.2288719001205655,
        5.228892879390869,
        5.2289133818595745,
        5.228934361129879,
        5.228955340400183,
        5.228976319670487,
        5.228996822139193,
        5.229017801409496,
        5.2290387806798,
        5.229059759950104,
        5.22908026241881,
        5.229101241689114,
        5.229122220959417,
        5.229143200229721,
        5.229163702698427,
        5.229184681968731,
        5.229205661239035,
        5.229226163707741,
        5.2292471429780445,
        5.229268122248349,
        5.229289101518653,
        5.229309603987359,
        5.229330583257663,
        5.229351562527966,
        5.229372064996673,
        5.229393044266976,
        5.22941402353728,
        5.229434526005986,
        5.22945550527629,
        5.229476484546593,
        5.2294969870153,
        5.229517966285603,
        5.229538945555907,
        5.229559448024613,
        5.229580427294917,
        5.229601406565221,
        5.229621909033927,
        5.22964288830423,
        5.229663390772937,
        5.22968437004324,
        5.229705349313544,
        5.22972585178225,
        5.229746831052554,
        5.229767810322858,
        5.229788312791564,
        5.2298092920618675,
        5.229829794530574,
        5.2298507738008775,
        5.229871753071182,
        5.2298922555398875,
        5.2299132348101915,
        5.229933737278897,
        5.2299547165492015,
        5.229975219017907,
        5.229996198288211,
        5.230017177558515,
        5.230037680027221,
        5.230058659297525,
        5.2300791617662306,
        5.2301206435052405,
        5.230141622775545,
        5.2301621252442505,
        5.230183104514555,
        5.2302036069832605,
        5.230224586253564,
        5.230245565523868,
        5.230266067992574,
        5.230287047262878,
        5.230307549731584,
        5.230328529001888,
        5.230349031470594,
        5.230370010740898,
        5.230390513209604,
        5.230411492479907,
        5.2304319949486135,
        5.230452974218917,
        5.230473476687623,
        5.230494455957927,
        5.230514958426633,
        5.2305354608953385,
        5.230556440165643,
        5.2305769426343485,
        5.230597921904653,
        5.230618424373358,
        5.2306394036436625,
        5.230659906112368,
        5.2306808853826725,
        5.230701387851378,
        5.2307223671216825,
        5.230742869590388,
        5.230763372059094,
        5.2307843513293975,
        5.230804853798104,
        5.230825833068407,
        5.230846335537113,
        5.23086683800582,
        5.230887817276123,
        5.230908319744829,
        5.230929299015133,
        5.230949801483839,
        5.230970303952545,
        5.230991283222849,
        5.231011785691555,
        5.231032764961859,
        5.231053267430565,
        5.231073769899271,
        5.231094749169575,
        5.231115251638281,
        5.231135754106987,
        5.231156733377291,
        5.231177235845997,
        5.231197738314703,
        5.231218717585007,
        5.231239220053713,
        5.231259722522418,
        5.2312807017927225,
        5.231301204261428,
        5.231321706730134,
        5.231342686000438,
        5.231363188469144,
        5.23138369093785,
        5.231404670208154,
        5.23142517267686,
        5.231445675145566,
        5.23146665441587,
        5.231487156884576,
        5.231507659353282,
        5.231528161821988,
        5.231549141092292,
        5.231569643560998,
        5.231590146029704,
        5.231611125300008,
        5.231631627768714,
        5.2316521302374195,
        5.231672632706125,
        5.2316936119764295,
        5.231714114445135,
        5.231734616913841,
        5.231755119382548,
        5.231776098652851,
        5.231796601121557,
        5.231817103590264,
        5.23183760605897,
        5.231858585329273,
        5.23187908779798,
        5.231899590266686,
        5.2319200927353915,
        5.231940595204097,
        5.2319615744744015,
        5.231982076943107,
        5.232002579411813,
        5.232023081880519,
        5.232043584349225,
        5.232064563619529,
        5.232085066088235,
        5.232105568556941,
        5.232126071025647,
        5.232167075963059,
        5.232188055233363
    ],
    "flux": [
        1.74349,
        1.71662,
        1.66875,
        1.55853,
        1.58271,
        1.67551,
        1.68767,
        1.62549,
        1.64072,
        1.58657,
        1.65349,
        1.66265,
        1.53146,
        1.4658,
        1.56639,
        1.63332,
        1.51147,
        1.50514,
        1.6321,
        1.69716,
        1.7694,
        1.75225,
        1.6373,
        1.62977,
        1.56738,
        1.58028,
        1.4198,
        1.53362,
        1.60089,
        1.60461,
        1.54244,
        1.47315,
        1.53191,
        1.49534,
        1.47976,
        1.64761,
        1.50604,
        1.57845,
        1.83222,
        1.85997,
        1.43441,
        1.47361,
        1.54949,
        1.56528,
        1.46176,
        1.54423,
        1.48419,
        1.51909,
        1.63556,
        1.52259,
        1.45303,
        1.52127,
        1.60102,
        1.5536,
        1.46539,
        1.58176,
        1.5717,
        1.52615,
        1.63586,
        1.64438,
        1.53626,
        1.53932,
        1.58286,
        1.56836,
        1.5646,
        1.78108,
        1.54862,
        1.48338,
        1.41518,
        1.37914,
        1.42175,
        1.34059,
        1.34295,
        1.39854,
        1.3143,
        1.46566,
        1.48554,
        1.44299,
        1.44508,
        1.54735,
        1.62086,
        1.58864,
        1.58415,
        1.67145,
        1.75117,
        1.81474,
        1.74224,
        1.67973,
        1.75398,
        1.76908,
        1.61591,
        1.89762,
        2.03315,
        1.92045,
        1.80587,
        1.7209,
        1.86178,
        1.60778,
        1.6454,
        1.83393,
        1.79154,
        1.64413,
        1.61428,
        1.62321,
        1.77336,
        1.72205,
        1.70481,
        1.58978,
        1.591,
        1.64341,
        1.60459,
        1.46294,
        1.5948,
        1.47781,
        1.61698,
        1.63968,
        1.57269,
        1.60737,
        1.59478,
        1.51466,
        1.5813,
        1.55853,
        1.56673,
        1.60753,
        1.59037,
        1.58268,
        1.57051,
        1.56762,
        1.593,
        1.63961,
        1.58672,
        1.5627,
        1.54818,
        1.50024,
        1.57574,
        1.52621,
        1.56056,
        1.54572,
        1.57738,
        1.59294,
        1.66031,
        1.63404,
        1.48345,
        1.40888,
        1.56325,
        1.63448,
        1.74321,
        1.64745,
        1.66498,
        1.90838,
        1.98919,
        1.67739,
        1.67754,
        1.89213,
        1.8407,
        1.65142,
        1.85832,
        1.94865,
        1.78268,
        1.8105,
        1.68955,
        1.78191,
        1.79835,
        1.80695,
        1.75123,
        1.75361,
        1.61096,
        1.70585,
        1.69248,
        1.67225,
        1.65443,
        1.65062,
        1.69287,
        1.69654,
        1.7321,
        1.67681,
        1.64829,
        1.58986,
        1.66967,
        1.72353,
        1.70728,
        1.71052,
        1.63879,
        1.61134,
        1.62605,
        1.7092,
        1.66817,
        1.6585,
        1.66129,
        1.68914,
        1.72933,
        1.74772,
        1.62654,
        1.65152,
        1.67296,
        1.68261,
        1.66768,
        1.64053,
        1.5791,
        1.59275,
        1.58228,
        1.57615,
        1.61928,
        1.61747,
        1.55578,
        1.59217,
        1.69536,
        1.77373,
        1.70377,
        1.73862,
        1.6111,
        1.51726,
        1.61428,
        1.83807,
        1.8855,
        1.52679,
        1.33391,
        1.53692,
        1.56969,
        1.53434,
        1.64162,
        1.40334,
        1.48765,
        1.5103,
        1.45131,
        1.44742,
        1.49368,
        1.55128,
        1.55788,
        1.51656,
        1.51378,
        1.51471,
        1.57937,
        1.52189,
        1.49531,
        1.59931,
        1.63814,
        1.55282,
        1.53973,
        1.53561,
        1.59609,
        1.62313,
        1.64272,
        1.57336,
        1.59526,
        1.56749,
        1.57598,
        1.58145,
        1.56616,
        1.52782,
        1.57292,
        1.61478,
        1.59459,
        1.56639,
        1.55571,
        1.58955,
        1.56747,
        1.53726,
        1.66122,
        1.6312,
        1.58965,
        1.54516,
        1.45864,
        1.49127,
        1.59662,
        1.48094,
        1.51207,
        1.56903,
        1.59364,
        1.5764,
        1.61844,
        1.60042,
        1.424,
        1.33335,
        1.42965,
        1.59656,
        1.62901,
        1.77354,
        1.66028,
        1.33523,
        1.62338,
        1.59006,
        2.19287,
        2.27269,
        2.35813,
        2.39368,
        2.37769,
        2.37942,
        2.28541,
        2.15332,
        2.08741,
        2.1092,
        2.13706,
        1.98572,
        1.94453,
        1.99607,
        1.96529,
        1.95572,
        1.92905,
        1.86824,
        1.90386,
        1.85668,
        1.82617,
        1.81399,
        1.85441,
        1.75343,
        1.80248,
        1.84993,
        1.76207,
        1.75418,
        1.76068,
        1.69252,
        1.67569,
        1.72854,
        1.76711,
        1.71894,
        1.7673,
        1.75959,
        1.70725,
        1.6173,
        1.71589,
        1.79226,
        1.76981,
        1.62624,
        1.63342,
        1.77668,
        1.79527,
        1.6772,
        1.65941,
        1.73691,
        1.75282,
        1.86085,
        1.69443,
        1.71827,
        1.7562,
        1.82648,
        1.80436,
        1.68271,
        1.74671,
        1.73989,
        1.81602,
        1.73132,
        1.7571,
        1.4533,
        1.59384,
        1.70804,
        1.71429,
        1.72895,
        1.70464,
        1.63387,
        1.67665,
        1.65848,
        1.68125,
        1.65273,
        1.6356,
        1.6529,
        1.67756,
        1.57091,
        1.60269,
        1.66286,
        1.7025,
        1.54193,
        1.64463,
        1.68984,
        1.63921,
        1.61662,
        1.57716,
        1.60121,
        1.6243,
        1.6051,
        1.55332,
        1.60222,
        1.6273,
        1.68725,
        1.66055,
        1.53391,
        1.54149,
        1.51784,
        1.53567,
        1.5973,
        1.50218,
        1.5211,
        1.53651,
        1.50152,
        1.51254,
        1.52757,
        1.54203,
        1.47027,
        1.51197,
        1.57488,
        1.58382,
        1.45048,
        1.46184,
        1.51447,
        1.52038,
        1.56918,
        1.55078,
        1.48638,
        1.53985,
        1.67335,
        1.50357,
        1.73889,
        1.38948,
        1.48854,
        1.51835,
        1.41015,
        1.38577,
        1.76376,
        1.50638,
        1.32445,
        1.37353,
        1.60151,
        1.73392,
        1.44623,
        1.39475,
        1.4557,
        1.4287,
        1.41803,
        1.42751,
        1.5477,
        1.61721,
        1.62271,
        1.49251,
        1.49194,
        1.50189,
        1.50106,
        1.41901,
        1.44694,
        1.40631,
        1.51204,
        1.50219,
        1.46915,
        1.4103,
        1.49671,
        1.43711,
        1.45335,
        1.47102,
        1.51025,
        1.52272,
        1.57182,
        1.46578,
        1.44726,
        1.46774,
        1.47597,
        1.50704,
        1.54926,
        1.56917,
        1.55083,
        1.51794,
        1.57373,
        1.50346,
        1.48677,
        1.49108,
        1.44181,
        1.53133,
        1.55992,
        1.47626,
        1.34296,
        1.48708,
        1.52032,
        1.56979,
        1.56274,
        1.56645,
        1.46786,
        1.34535,
        1.38149,
        1.37295,
        1.57003,
        1.60973,
        1.53562,
        1.50632,
        1.51973,
        1.49749,
        1.45711,
        1.53615,
        1.54502,
        1.54834,
        1.49267,
        1.65515,
        1.72625,
        1.35134,
        1.44113,
        1.69586,
        1.80634,
        1.51258,
        1.49657,
        1.28041,
        1.20011,
        1.37228,
        1.37815,
        1.56591,
        1.63993,
        1.71849,
        1.84434,
        1.811,
        1.7488,
        1.85284,
        1.92445,
        1.9723,
        1.88733,
        1.89739,
        1.76771,
        1.82466,
        1.69027,
        1.82415,
        1.97118,
        1.90132,
        1.90314,
        1.78433,
        1.62275,
        1.52535,
        1.50283,
        1.33544,
        1.28992,
        1.3934,
        1.32229,
        1.1799,
        1.12918,
        1.48928,
        1.69489,
        1.96483,
        2.48925,
        2.41378,
        2.43002,
        2.31787,
        2.44189,
        2.43863,
        2.23032,
        2.27069,
        2.26821,
        2.21856,
        2.18442,
        2.14216,
        2.07813,
        2.0852,
        2.0151,
        2.04106,
        2.00379,
        2.08536,
        2.08444,
        1.92044,
        1.93052,
        1.76818,
        1.89861,
        1.7436,
        1.95935,
        1.93291,
        1.85131,
        1.82277,
        1.97495,
        1.94747,
        1.94906,
        1.89313,
        2.12104,
        1.82948,
        1.39651,
        1.41196,
        1.77576,
        1.76536,
        1.75495,
        1.72463,
        1.61646,
        1.64915,
        1.68879,
        1.70411,
        1.72865,
        1.662,
        1.65506,
        1.5744,
        1.65153,
        1.61248,
        1.63514,
        1.66749,
        1.57022,
        1.6022,
        1.56064,
        1.61579,
        1.58289,
        1.63431,
        1.60473,
        1.54263,
        1.68331,
        1.80294,
        1.80741,
        1.80211,
        1.52575,
        1.69601,
        1.59208,
        1.50174,
        1.57196,
        1.67076,
        1.64507,
        1.62097,
        1.6372,
        1.58152,
        1.55247,
        1.56101,
        1.55157,
        1.61704,
        1.56815,
        1.52615,
        1.48,
        1.4989,
        1.50729,
        1.44976,
        1.55066,
        1.623,
        1.6967,
        1.58622,
        1.57208,
        1.66833,
        1.55653,
        1.5626,
        1.57879,
        1.5904,
        1.45769,
        1.50902,
        1.5397,
        1.66082,
        1.61909,
        1.13527,
        1.51583,
        1.37739,
        1.36166,
        1.42556,
        1.26609,
        1.41193,
        1.27818,
        1.46442,
        1.49364,
        1.65014,
        1.50972,
        1.43021,
        1.47834,
        1.51798,
        1.40164,
        1.2372,
        1.43305,
        1.6139,
        1.54342,
        1.45499,
        1.54087,
        1.59517,
        1.43853,
        1.47228,
        1.44141,
        1.58888,
        1.5195,
        1.49054,
        1.53048,
        1.48479,
        1.4614,
        1.54253,
        1.57781,
        1.61894,
        1.57762,
        1.51686,
        1.52287,
        1.57297,
        1.53396,
        1.56411,
        1.54386,
        1.50523,
        1.45204,
        1.52727,
        1.56174,
        1.59483,
        1.60181,
        1.55678,
        1.54339,
        1.53317,
        1.56662,
        1.57178,
        1.57562,
        1.60548,
        1.64912,
        1.56035,
        1.58626,
        1.52376,
        1.60829,
        1.61526,
        1.62125,
        1.51978,
        1.612,
        1.61255,
        1.63233,
        1.48374,
        1.52722,
        1.60846,
        1.65483,
        1.63837,
        1.71965,
        1.5759,
        1.61833,
        1.65967,
        1.69314,
        1.92099,
        1.55097,
        1.58701,
        1.38833,
        1.4732,
        1.47148,
        1.43405,
        1.4153,
        1.44239,
        1.45272,
        1.50717,
        1.48603,
        1.52847,
        1.54268,
        1.55691,
        1.61342,
        1.53056,
        1.5537,
        1.49806,
        1.49012,
        1.56231,
        1.51718,
        1.4624,
        1.46166,
        1.47039,
        1.40038,
        1.42275,
        1.3906,
        1.31873,
        1.34358,
        1.35771,
        1.38838,
        1.58654,
        1.57016,
        1.76082,
        1.70493,
        1.67511,
        1.66406,
        1.67645,
        1.80961,
        1.90031,
        1.69242,
        1.59666,
        1.74468,
        1.80208,
        1.85212,
        1.83334,
        1.77887,
        1.81555,
        1.89958,
        1.84412,
        1.7006,
        1.57706,
        1.44435,
        1.37716,
        1.41611,
        1.35518,
        1.31496,
        1.22315,
        1.23213,
        1.10524,
        1.27121,
        1.64697,
        1.90146,
        2.23979,
        2.35703,
        2.35344,
        2.47928,
        2.37439,
        2.48385,
        2.31326,
        2.42967,
        2.818,
        1.53658,
        1.50833,
        1.61347,
        1.66445,
        1.57856,
        1.64189,
        1.65961,
        1.61747,
        1.58944,
        1.54244,
        1.53195,
        1.55449,
        1.48638,
        1.53273,
        1.49605,
        1.56519,
        1.5517,
        1.48503,
        1.56552,
        1.49653,
        1.53459,
        1.47083,
        1.53907,
        1.5468,
        1.58922,
        1.55756,
        1.47416,
        1.43936,
        1.50274,
        1.49777,
        1.44531,
        1.42745,
        1.44743,
        1.44276,
        1.4997,
        1.49375,
        1.49331,
        1.47761,
        1.42425,
        1.53048,
        1.43885,
        1.46148,
        1.47738,
        1.51344,
        1.53941,
        1.50117,
        1.55486,
        1.49897,
        1.50414,
        1.47057,
        1.4472,
        1.47051,
        1.46579,
        1.40443,
        1.46081,
        1.50713,
        1.49486,
        1.40143,
        1.44054,
        1.50421,
        1.63865,
        1.55972,
        1.49826,
        1.47046,
        1.43116,
        1.50104,
        1.44985,
        1.57527,
        1.56089,
        1.48022,
        1.46533,
        1.37778,
        1.44973,
        1.40592,
        1.62761,
        1.64038,
        1.69427,
        1.7457,
        1.57573,
        1.56087,
        1.82468,
        1.58241,
        1.63766,
        1.63461,
        1.67125,
        1.51016,
        1.57253,
        1.61339,
        1.48188,
        1.5055,
        1.638,
        1.62965,
        1.53523,
        1.63077,
        1.64341,
        1.66247,
        1.64765,
        1.52222,
        1.56333,
        1.60163,
        1.55529,
        1.61379,
        1.69276,
        1.64452,
        1.61524,
        1.58342,
        1.56467,
        1.6141,
        1.62502,
        1.58243,
        1.59626,
        1.65175,
        1.64009,
        1.62929,
        1.58889,
        1.53372,
        1.56763,
        1.56141,
        1.52943,
        1.59222,
        1.57248,
        1.56248,
        1.56899,
        1.53039,
        1.59116,
        1.53058,
        1.54715,
        1.48084,
        1.51395,
        1.49849,
        1.55458,
        1.52798,
        1.52807,
        1.53338,
        1.60185,
        1.47193,
        1.47571,
        1.54048,
        1.55005,
        1.52903,
        1.47795,
        1.52719,
        1.53835,
        1.51299,
        1.54537,
        1.63446,
        1.54119,
        1.55049,
        1.58011,
        1.59583,
        1.5573,
        1.55154,
        1.50432,
        1.60136,
        1.55172,
        1.64188,
        1.57482,
        1.42164,
        1.48974,
        1.60196,
        1.42375,
        1.48216,
        1.55432,
        1.42924,
        1.3711,
        1.48045,
        1.47248,
        1.43186,
        1.56567,
        1.45943,
        1.49333,
        1.51822,
        1.52801,
        1.52936,
        1.57426,
        1.59369,
        1.58321,
        1.56185,
        1.56911,
        1.53047,
        1.52089,
        1.56778,
        1.54613,
        1.62983,
        1.63116,
        1.61393,
        1.5918,
        1.66265,
        1.70147,
        1.67866,
        1.82412,
        1.88368,
        1.78702,
        1.77686,
        1.83631,
        1.70474,
        1.7894,
        1.64739,
        1.76437,
        1.84206,
        1.75751,
        1.83855,
        1.73282,
        1.68797,
        1.78685,
        1.67431,
        1.77979,
        1.79144,
        1.72987,
        1.64997,
        1.69238,
        1.71947,
        1.73971,
        1.75849,
        1.71122,
        1.77372,
        1.73828,
        1.7792,
        1.71506,
        1.72815,
        1.71662,
        1.64688,
        1.61471,
        1.68922,
        1.64977,
        1.69293,
        1.8275,
        1.66618,
        1.5093,
        1.52398,
        1.35031,
        1.50404,
        1.54445,
        1.35479,
        1.73446,
        2.31874,
        2.35881,
        1.98159,
        1.99204,
        2.03145,
        2.12623,
        1.92922,
        1.91458,
        1.9384,
        1.95319,
        1.83531,
        1.89035,
        1.83539,
        1.88223,
        1.90063,
        1.82693,
        1.8352,
        1.78847,
        1.81256,
        1.71511,
        1.78276,
        1.78639,
        1.82876,
        1.81186,
        1.74225,
        1.75089,
        1.7538,
        1.73955,
        1.81781,
        1.78543,
        1.77382,
        1.7124,
        1.80093,
        1.78462,
        1.71739,
        1.699,
        1.75541,
        1.72635,
        1.71567,
        1.75792,
        1.75554,
        1.67546,
        1.71398,
        1.73773,
        1.69244,
        1.71262,
        1.63792,
        1.6547,
        1.60549,
        1.74079,
        1.63269,
        1.60629,
        1.62236,
        1.64375,
        1.67171,
        1.70343,
        1.69747,
        1.63012,
        1.62714,
        1.62102,
        1.59627,
        1.5874,
        1.70972,
        1.57546,
        1.57193,
        1.44978,
        1.74189,
        1.64352,
        1.62024,
        1.4856,
        1.58584,
        1.69676,
        1.47201,
        1.5865,
        1.59156,
        1.57261,
        1.72663,
        1.56197,
        1.56457,
        1.46099,
        1.70551,
        1.40229,
        1.37387,
        1.7402,
        2.14857,
        1.56143,
        1.56679,
        1.61938,
        1.50254,
        1.59585,
        1.57769,
        1.4114,
        1.48239,
        1.46924,
        1.30074,
        1.42672,
        1.39945,
        1.55635,
        1.63124,
        1.57926,
        1.59129,
        1.47819,
        1.45936,
        1.42315,
        1.37495,
        1.46298,
        1.56685,
        1.48352,
        1.54923,
        1.50154,
        1.53383,
        1.52929,
        1.56735,
        1.59673,
        1.50138,
        1.50978,
        1.50891,
        1.50594,
        1.51261,
        1.5054,
        1.44696,
        1.49475,
        1.50139,
        1.52186,
        1.4664,
        1.58305,
        1.55511,
        1.52182,
        1.56463,
        1.47936,
        1.39404,
        1.57384,
        1.50741,
        1.53589,
        1.48177,
        1.45217,
        1.45718,
        1.37343,
        1.61028,
        1.48195,
        1.48331,
        1.3031,
        1.68381,
        1.9096,
        2.18138,
        1.71584,
        1.34969,
        1.54859,
        1.46782,
        1.45008,
        1.46816,
        1.46792,
        1.47755,
        1.57107,
        1.46191,
        1.39497,
        1.37993,
        1.52327,
        1.53052,
        1.53559,
        1.49237,
        1.50025,
        1.53523,
        1.4756,
        1.41759,
        1.32132,
        1.57847,
        1.55862,
        1.56922,
        1.47611,
        1.56812,
        1.42496,
        1.6117,
        1.93884,
        1.46112,
        1.70252,
        1.49735,
        1.40793,
        1.56019,
        1.43601,
        1.53178,
        1.58537,
        1.60349,
        1.52409,
        1.44836,
        1.62075,
        1.6666,
        1.56585,
        1.65088,
        1.64842,
        1.66867,
        1.66241,
        1.59187,
        1.55768,
        1.55954,
        1.58572,
        1.61137,
        1.60062,
        1.65854,
        1.54757,
        1.61484,
        1.573,
        1.66388,
        1.66659,
        1.7845,
        1.66427,
        1.71778,
        1.72197,
        1.5933,
        1.70211,
        1.73014,
        1.71952,
        1.72749,
        1.80044,
        1.69103,
        1.86209,
        1.61157,
        1.90862,
        1.95731,
        1.96771,
        2.10068,
        1.65176,
        1.70153,
        1.45998,
        1.40393,
        1.65767,
        1.57588,
        1.68892,
        1.63722,
        1.56353,
        1.6727,
        1.62001,
        1.68923,
        1.61363,
        1.52273,
        1.61945,
        1.56813,
        1.68522,
        1.68659,
        1.68981,
        1.72892,
        1.64808,
        1.69468,
        1.6616,
        1.7036,
        1.64876,
        1.62218,
        1.70094,
        1.67976,
        1.71003,
        1.67646,
        1.69305,
        1.8452,
        1.63459,
        1.6079,
        1.53893,
        1.77736,
        1.64681,
        1.71668,
        1.87912,
        1.95239,
        1.73834,
        1.83131,
        1.97986,
        1.74984,
        1.71103,
        1.53221,
        1.20359,
        1.21501,
        1.35373,
        1.18533,
        1.08123,
        1.12355,
        1.06082,
        1.05309,
        1.32606,
        1.61407,
        1.70817,
        2.13724,
        2.25988,
        2.29756,
        2.35816,
        2.39291,
        2.36828,
        2.30694,
        2.37486,
        2.20006,
        2.17251,
        2.12694,
        2.03689,
        1.91001,
        2.00156,
        2.07421,
        1.9597,
        1.92771,
        1.82156,
        1.7177,
        1.84766,
        2.08202,
        2.2292,
        2.24192,
        2.18035,
        1.66621,
        1.76724,
        1.79729,
        1.85946,
        1.6673,
        1.5402,
        1.72471,
        1.70099,
        1.67174,
        1.58145,
        1.59233,
        1.64742,
        1.62169,
        1.68501,
        1.64542,
        1.62755,
        1.6081,
        1.71254,
        1.595,
        1.57467,
        1.57874,
        1.61863,
        1.62816,
        1.58829,
        1.6023,
        1.57959,
        1.62251,
        1.58839,
        1.61964,
        1.48428,
        1.50792,
        1.53992,
        1.5823,
        1.57606,
        1.57483,
        1.65122,
        1.49496,
        1.51735,
        1.4028,
        1.45216,
        1.55028,
        1.5079,
        1.6499,
        1.53927,
        1.49047,
        1.53626,
        1.81171,
        1.5615,
        1.56489,
        1.71529,
        1.42671,
        1.74321,
        null,
        1.45979,
        1.41133,
        1.53356,
        1.51692,
        1.67756,
        1.83741,
        1.86129,
        1.90612,
        1.92071,
        1.93081,
        1.45953,
        1.69565,
        1.76051,
        1.69144,
        1.65553,
        1.6379,
        1.63523,
        1.62185,
        1.5943,
        1.6118,
        1.65646,
        1.66182,
        1.64799,
        1.64644,
        1.63052,
        1.60126,
        1.61951,
        1.65543,
        1.58631,
        1.60208,
        1.59873,
        1.60123,
        1.58818,
        1.57298,
        1.56801,
        1.57795,
        1.57499,
        1.554,
        1.52752,
        1.57959,
        1.6377,
        1.62054,
        1.59795,
        1.56532,
        1.5833,
        1.58895,
        1.58569,
        1.56726,
        1.56337,
        1.53758,
        1.54045,
        1.56634,
        1.5558,
        1.53185,
        1.51169,
        1.52478,
        1.56268,
        1.55539,
        1.54285,
        1.55227,
        1.57706,
        1.57466,
        1.52161,
        1.5104,
        1.53422,
        1.47492,
        1.44986,
        1.48827,
        1.45419,
        1.39715,
        1.43419,
        1.57328,
        1.64366,
        1.55567,
        1.47732,
        1.44327,
        1.49115,
        1.50721,
        1.63729,
        1.76142,
        1.50575,
        1.56799,
        1.67684,
        1.61015,
        1.661,
        1.65999,
        1.64839,
        1.70913,
        1.54701,
        1.37457,
        1.27296,
        1.09037,
        1.15515,
        1.14939,
        0.99307,
        0.912717,
        0.928116,
        1.13374,
        1.51346,
        1.85774,
        2.10809,
        2.20053,
        2.247,
        2.23779,
        2.25556,
        2.24144,
        2.17326,
        2.1151,
        2.12812,
        2.08831,
        1.99984,
        1.9545,
        1.93786,
        1.91844,
        1.86639,
        1.80416,
        1.76703,
        1.76931,
        1.75978,
        1.76363,
        1.69582,
        1.69177,
        1.70942,
        1.65493,
        1.65487,
        1.6424,
        1.61964,
        1.59958,
        1.64378,
        1.67607,
        1.65688,
        1.61126,
        1.63396,
        1.62212,
        1.57629,
        1.58732,
        1.62127,
        1.62748,
        1.56355,
        1.53533,
        1.5944,
        1.53878,
        1.53883,
        1.5913,
        1.59084,
        1.54296,
        1.56621,
        1.54727,
        1.51897,
        1.49593,
        1.55298,
        1.56407,
        1.54898,
        1.54347,
        1.52769,
        1.56397,
        1.5456,
        1.55712,
        1.56851,
        1.48937,
        1.41414,
        1.41399,
        1.47838,
        1.41173,
        1.46212,
        1.38805,
        1.40432,
        1.36568,
        1.33019,
        1.33431,
        1.38575,
        1.47046,
        1.41925,
        1.41744,
        1.46643,
        1.36934,
        1.3351,
        1.37293,
        1.38839,
        1.37907,
        1.39802,
        1.41244,
        1.41081,
        1.41573,
        1.42782,
        1.42711,
        1.43452,
        1.42126,
        1.43227,
        1.46644,
        1.4549,
        1.44538,
        1.45357,
        1.45952,
        1.4442,
        1.42685,
        1.47276,
        1.46091,
        1.48112,
        1.4724,
        1.45662,
        1.45987,
        1.48047,
        1.50217,
        1.49007,
        1.50164,
        1.49733,
        1.46509,
        1.4825,
        1.49079,
        1.50187,
        1.5038,
        1.53595,
        1.53037,
        1.50277,
        1.53898,
        1.53503,
        1.52449,
        1.53798,
        1.52197,
        1.53944,
        1.54355,
        1.54082,
        1.50341,
        1.54697,
        1.52444,
        1.55625,
        1.55776,
        1.4778,
        1.49022,
        1.57143,
        1.5859,
        1.60084,
        1.57274,
        1.55748,
        1.58403,
        1.52821,
        1.55644,
        1.61487,
        1.54834,
        1.57079,
        1.56752,
        1.61178,
        1.62348,
        1.57735,
        1.60785,
        1.50713,
        1.63528,
        1.75044,
        1.85035,
        1.62827,
        1.53306,
        1.5577,
        1.55598,
        1.64751,
        1.58948,
        1.51848,
        1.6526,
        1.56277,
        1.59008,
        1.66674,
        1.67808,
        1.62122,
        1.62319,
        1.63509,
        1.6067,
        1.577,
        1.56375,
        1.5704,
        1.59774,
        1.58044,
        1.52211,
        1.56827,
        1.58756,
        1.54709,
        1.55242,
        1.60446,
        1.58794,
        1.54034,
        1.53577,
        1.52572,
        1.56902,
        1.56497,
        1.53364,
        1.52945,
        1.53886,
        1.55471,
        1.53657,
        1.52802,
        1.53873,
        1.54557,
        1.51943,
        1.50994,
        1.53719,
        1.5175,
        1.499,
        1.51147,
        1.48839,
        1.49918,
        1.49341,
        1.45116,
        1.44994,
        1.43535,
        1.46019,
        1.46901,
        1.48058,
        1.48387,
        1.47133,
        1.47367,
        1.4776,
        1.44942,
        1.40908,
        1.43168,
        1.46051,
        1.45119,
        1.41779,
        1.46479,
        1.42477,
        1.43872,
        1.43761,
        1.41689,
        1.4393,
        1.4113,
        1.44221,
        1.49811,
        1.47715,
        1.44182,
        1.44321,
        1.39669,
        1.42556,
        1.42717,
        1.42112,
        1.39843,
        1.50714,
        1.58941,
        1.55732,
        1.46521,
        1.53567,
        1.55979,
        1.40819,
        1.47003,
        1.4051,
        1.46769,
        1.50274,
        1.46478,
        1.43325,
        1.44708,
        1.44093,
        1.45014,
        1.45649,
        1.46575,
        1.47737,
        1.53351,
        1.46162,
        1.36375,
        1.39767,
        1.27906,
        1.28685,
        1.34654,
        1.32219,
        1.31083,
        1.36452,
        1.41545,
        1.46162,
        1.51817,
        1.44775,
        1.74525,
        1.70995,
        1.50818,
        1.62249,
        1.64238,
        1.64311,
        1.68285,
        1.70027,
        1.71542,
        1.75939,
        1.67645,
        1.51388,
        1.37411,
        1.25774,
        1.18419,
        1.17191,
        1.15267,
        1.01023,
        0.878122,
        0.909356,
        1.06337,
        1.38994,
        1.69496,
        1.96003,
        2.17107,
        2.24276,
        2.27709,
        2.25837,
        2.2388,
        2.22345,
        2.13953,
        2.11905,
        2.08671,
        2.06607,
        2.029,
        1.96053,
        1.90933,
        1.87055,
        1.84512,
        1.82331,
        1.79248,
        1.77865,
        1.74608,
        1.73345,
        1.73483,
        1.70514,
        1.7506,
        1.73407,
        1.70103,
        1.64946,
        1.60143,
        1.50811,
        1.81509,
        1.72166,
        1.74029,
        1.69989,
        1.72386,
        1.57622,
        1.48057,
        1.50597,
        1.61028,
        1.53245,
        1.49202,
        1.66589,
        1.70135,
        1.68553,
        1.65285,
        1.60201,
        1.73852,
        1.70838,
        1.55658,
        1.57612,
        1.77432,
        1.59921,
        1.47417,
        1.47168,
        1.52221,
        1.52287,
        1.5317,
        1.47371,
        1.49991,
        1.55013,
        1.5621,
        1.52081,
        1.54603,
        1.55478,
        1.53636,
        1.5713,
        1.55881,
        1.58405,
        1.54468,
        1.45311,
        1.49341,
        1.50931,
        1.53504,
        1.58574,
        1.55194,
        1.54285,
        1.5253,
        1.54013,
        1.50603,
        1.48913,
        1.50027,
        1.52033,
        1.54368,
        1.5507,
        1.52165,
        1.51454,
        1.57236,
        1.58006,
        1.52079,
        1.52533,
        1.48406,
        1.51881,
        1.54166,
        1.53928,
        1.56685,
        1.53592,
        1.46348,
        1.45632,
        1.44525,
        1.51285,
        1.53428,
        1.45668,
        1.46946,
        1.48955,
        1.44714,
        1.43956,
        1.46427,
        1.48668,
        1.44221,
        1.45391,
        1.47374,
        1.47084,
        1.45088,
        1.46787,
        1.47787,
        1.4898,
        1.41029,
        1.35286,
        1.39077,
        1.46963,
        1.47448,
        1.52486,
        1.5319,
        1.57749,
        1.58953,
        1.45977,
        1.47427,
        1.63957,
        1.40593,
        1.41327,
        1.34867,
        1.57674,
        1.52094,
        1.44116,
        1.489,
        1.51849,
        1.51159,
        1.49842,
        1.61587,
        1.59871,
        1.58083,
        1.62922,
        1.65774,
        1.65282,
        1.62319,
        1.61405,
        1.61327,
        1.659,
        1.614,
        1.71598,
        1.71554,
        1.67629,
        1.57484,
        1.57245,
        1.70987,
        1.7448,
        1.62176,
        1.58669,
        1.71425,
        1.76211,
        1.53346,
        1.48123,
        1.52113,
        1.56823,
        1.58567,
        1.62421,
        1.63343,
        1.66901,
        1.5937,
        1.59126,
        1.61784,
        1.58175,
        1.60407,
        1.62818,
        1.6335,
        1.58438,
        1.59831,
        1.60401,
        1.60498,
        1.51116,
        1.52543,
        1.56002,
        1.53605,
        1.53611,
        1.54612,
        1.52482,
        1.5347,
        1.54658,
        1.57791,
        1.56023,
        1.54023,
        1.58533,
        1.5557,
        1.5499,
        1.51997,
        1.55539,
        1.5239,
        1.52134,
        1.47197,
        1.4969,
        1.51541,
        1.50864,
        1.51637,
        1.51591,
        1.53323,
        1.51023,
        1.51209,
        1.53969,
        1.51824,
        1.49696,
        1.51308,
        1.49486,
        1.51113,
        1.5353,
        1.55723,
        1.52446,
        1.50556,
        1.52136,
        1.53015,
        1.57364,
        1.49789,
        1.47008,
        1.5442,
        1.54573,
        1.52513,
        1.42118,
        1.38788,
        1.41079,
        1.57448,
        1.59471,
        1.47977,
        1.5823,
        1.6497,
        1.47152,
        1.41478,
        1.49472,
        1.44434,
        1.52119,
        1.53504,
        1.51831,
        1.51005,
        1.46769,
        1.48377,
        1.45452,
        1.49408,
        1.50523,
        1.4841,
        1.50184,
        1.5402,
        1.50385,
        1.47366,
        1.48154,
        1.53135,
        1.47041,
        1.49017,
        1.50055,
        1.52427,
        1.49875,
        1.48475,
        1.47559,
        1.50414,
        1.47233,
        1.49094,
        1.54492,
        1.41763,
        1.38971,
        1.40244,
        1.39589,
        1.67194,
        1.36664,
        1.45135,
        1.45786,
        1.47094,
        1.45853,
        1.48695,
        1.51356,
        1.54712,
        1.46517,
        1.49392,
        1.54743,
        1.68709,
        1.68549,
        2.05075,
        1.9598,
        1.95881,
        1.9631,
        1.63979,
        1.62427,
        1.65087,
        1.58464,
        1.54821,
        1.51707,
        1.54879,
        1.50535,
        1.5139,
        1.52199,
        1.53353,
        1.52103,
        1.53846,
        1.512,
        1.50608,
        1.48109,
        1.4341,
        1.35852,
        1.3319,
        1.32369,
        1.41025,
        1.42091,
        1.52468,
        1.45425,
        1.43493,
        1.69561,
        1.6155,
        1.9473,
        1.68264,
        1.63775,
        1.68775,
        1.76271,
        1.94246,
        1.79093,
        1.87678,
        1.68608,
        1.43669,
        1.33899,
        1.10933,
        1.08337,
        1.08947,
        1.13631,
        0.927564,
        0.774139,
        0.777691,
        0.901696,
        1.16048,
        1.56114,
        1.92006,
        2.07788,
        2.2252,
        2.25156,
        2.26694,
        2.2582,
        2.22261,
        2.16444,
        2.10969,
        2.06104,
        2.05048,
        1.98804,
        1.94096,
        1.88957,
        1.83912,
        1.80985,
        1.77071,
        1.7562,
        1.77113,
        1.729,
        1.7167,
        1.69221,
        1.69896,
        1.65061,
        1.65298,
        1.66359,
        1.72121,
        1.65982,
        1.6448,
        1.65505,
        1.6105,
        1.63494,
        1.6827,
        1.64643,
        1.63656,
        1.61219,
        1.59752,
        1.72935,
        1.54316,
        1.50467,
        1.51952,
        1.80379,
        1.72161,
        1.34651,
        1.39515,
        1.4986,
        1.44809,
        1.49606,
        1.43995,
        1.43835,
        1.44766,
        1.48385,
        1.49607,
        1.52523,
        1.4626,
        1.42247,
        1.4303,
        1.43465,
        1.44921,
        1.42268,
        1.4232,
        1.41033,
        1.42482,
        1.43592,
        1.42783,
        1.47808,
        1.45412,
        1.45583,
        1.46058,
        1.45872,
        1.41302,
        1.3853,
        1.41595,
        1.45299,
        1.39786,
        1.4411,
        1.46171,
        1.47285,
        1.44839,
        1.44633,
        1.48388,
        1.46986,
        1.4479,
        1.43125,
        1.45491,
        1.47525,
        1.4229,
        1.52988,
        1.50592,
        1.59904,
        1.5304,
        1.53215,
        1.51611,
        1.61474,
        1.60067,
        1.38981,
        1.59145,
        1.59405,
        1.50095,
        1.51341,
        1.56819,
        1.5817,
        1.60462,
        1.60301,
        1.59785,
        1.58313,
        1.55626,
        1.54012,
        1.58451,
        1.61821,
        1.64008,
        1.61589,
        1.65705,
        1.67151,
        1.64476,
        1.70568,
        1.69855,
        1.66657,
        1.69625,
        1.69202,
        1.67407,
        1.6471,
        1.66039,
        1.67163,
        1.70598,
        1.66555,
        1.66969,
        1.67385,
        1.66147,
        1.65399,
        1.65013,
        1.66185,
        1.67511,
        1.66683,
        1.6467,
        1.61356,
        1.594,
        1.60882,
        1.61702,
        1.6151,
        1.64239,
        1.61545,
        1.63477,
        1.64269,
        1.61739,
        1.61655,
        1.58025,
        1.56083,
        1.58716,
        1.602,
        1.60288,
        1.59859,
        1.63014,
        1.62997,
        1.53379,
        1.54926,
        1.58105,
        1.89351,
        2.00988,
        1.46599,
        1.58656,
        1.52965,
        1.473,
        1.56131,
        1.52694,
        1.48386,
        1.5097,
        1.45679,
        1.47125,
        1.50266,
        1.50068,
        1.487,
        1.43519,
        1.44163,
        1.46481,
        1.48862,
        1.47116,
        1.46162,
        1.44938,
        1.48381,
        1.45532,
        1.43525,
        1.42551,
        1.42385,
        1.43757,
        1.4266,
        1.4411,
        1.4519,
        1.39347,
        1.41575,
        1.41321,
        1.41942,
        1.4735,
        1.45789,
        1.44049,
        1.49086,
        1.54675,
        1.36576,
        1.32965,
        1.28219,
        1.39188,
        1.4822,
        1.35559,
        1.40644,
        1.4029,
        1.44305,
        1.31074,
        1.42418,
        1.36974,
        1.39381,
        1.37485,
        1.43209,
        1.39193,
        1.40569,
        1.42751,
        1.41816,
        1.43034,
        1.44158,
        1.42382,
        1.40379,
        1.4205,
        1.42351,
        1.42793,
        1.41342,
        1.40111,
        1.42869,
        1.4286,
        1.40804,
        1.42462,
        1.43196,
        1.43353,
        1.40542,
        1.42779,
        1.45552,
        1.45548,
        1.44323,
        1.45748,
        1.44788,
        1.51073,
        1.44193,
        1.42068,
        1.45137,
        1.4473,
        1.48675,
        1.47459,
        1.4362,
        1.42402,
        1.45435,
        1.45224,
        1.46131,
        1.49245,
        1.47002,
        1.46737,
        1.53849,
        1.51969,
        1.49233,
        1.49022,
        1.54803,
        1.50267,
        1.51594,
        1.57253,
        1.56392,
        1.4971,
        1.51536,
        1.51043,
        1.51725,
        1.55306,
        1.56215,
        1.51952,
        1.49444,
        1.47545,
        1.5089,
        1.6407,
        1.69634,
        1.69314,
        1.70436,
        1.73941,
        1.76021,
        1.48157,
        1.53316,
        1.5098,
        1.57295,
        1.58361,
        1.61597,
        1.5272,
        1.57942,
        1.60737,
        1.56437,
        1.52516,
        1.5245,
        1.55337,
        1.55165,
        1.55148,
        1.5046,
        1.54013,
        1.58187,
        1.58,
        1.54513,
        1.57029,
        1.53618,
        1.60764,
        1.54373,
        1.52832,
        1.55427,
        1.56924,
        1.53245,
        1.57483,
        1.57082,
        1.54724,
        1.60177,
        1.53907,
        1.52406,
        1.54052,
        1.54615,
        1.53271,
        1.45603,
        1.584,
        1.50484,
        1.40975,
        1.44581,
        1.39066,
        1.50674,
        1.54257,
        1.51639,
        1.49819,
        1.48294,
        1.40212,
        1.45712,
        1.40066,
        1.36211,
        1.34682,
        1.30764,
        1.29592,
        1.4285,
        1.62639,
        1.57522,
        1.75098,
        1.88653,
        1.67493,
        1.67212,
        1.6524,
        1.70766,
        1.7153,
        1.76768,
        1.75435,
        1.69734,
        1.61129,
        1.43948,
        1.33171,
        1.26006,
        1.18446,
        1.16705,
        1.13191,
        1.01208,
        0.796347,
        0.669445,
        0.702751,
        0.885745,
        1.18807,
        1.52184,
        1.85238,
        2.06336,
        2.2118,
        2.28159,
        2.27876,
        2.26641,
        2.21833,
        2.13444,
        2.13459,
        2.08975,
        2.05072,
        1.98553,
        1.92946,
        1.88289,
        1.87344,
        1.87011,
        1.84741,
        1.81021,
        1.7712,
        1.75846,
        1.70287,
        1.69283,
        1.72618,
        1.68448,
        1.7106,
        1.6694,
        1.71348,
        1.65895,
        1.6772,
        1.63543,
        1.65762,
        1.64682,
        1.63167,
        1.712,
        1.7825,
        1.69942,
        1.53935,
        1.52579,
        1.41158,
        1.49273,
        1.55839,
        1.50497,
        1.50353,
        1.51811,
        1.51666,
        1.57644,
        1.55812,
        1.51071,
        1.52422,
        1.4963,
        1.57435,
        1.60469,
        1.57654,
        1.51583,
        1.55693,
        1.48581,
        1.49415,
        1.48858,
        1.57091,
        1.61061,
        1.49455,
        1.49985,
        1.5894,
        1.55626,
        1.56401,
        1.52024,
        1.49921,
        1.47456,
        1.59327,
        1.59274,
        1.60654,
        1.59703,
        1.59688,
        1.56462,
        1.59904,
        1.61851,
        1.64258,
        1.64087,
        1.63576,
        1.6528,
        1.62947,
        1.68645,
        1.65125,
        1.68014,
        1.60686,
        1.59145,
        1.67768,
        1.60859,
        1.62711,
        1.6638,
        1.67798,
        1.67294,
        1.66485,
        1.6576,
        1.62369,
        1.61701,
        1.63287,
        1.62401,
        1.62923,
        1.66327,
        1.63711,
        1.64239,
        1.63287,
        1.60703,
        1.58565,
        1.59863,
        1.59338,
        1.59392,
        1.59574,
        1.59475,
        1.6273,
        1.5874,
        1.63589,
        1.64229,
        1.571,
        1.56565,
        1.5654,
        1.58396,
        1.58545,
        1.58767,
        1.54368,
        1.52949,
        1.56546,
        1.5609,
        1.55906,
        1.56773,
        1.54423,
        1.56017,
        1.58372,
        1.55964,
        1.54193,
        1.56144,
        1.57639,
        1.53441,
        1.54707,
        1.51733,
        1.53734,
        1.51223,
        1.5538,
        1.54239,
        1.55043,
        1.53605,
        1.52735,
        1.53234,
        1.46044,
        1.5157,
        1.48924,
        1.50013,
        1.48529,
        1.48526,
        1.51634,
        1.46495,
        1.46412,
        1.47861,
        1.50819,
        1.4839,
        1.43512,
        1.50276,
        1.54698,
        1.36121,
        1.48259,
        1.59541,
        1.17799,
        1.38154,
        1.37595,
        1.41349,
        1.43529,
        1.48396,
        1.48923,
        1.4503,
        1.51398,
        1.5049,
        1.51742,
        1.55045,
        1.64796,
        1.76741,
        1.56147,
        1.43439,
        1.63647,
        1.80465,
        1.57596,
        1.31941,
        1.53499,
        1.68158,
        1.6158,
        1.85973,
        1.78076,
        1.60697,
        1.5229,
        1.56319,
        1.69006,
        1.62079,
        1.67287,
        1.56371,
        1.60813,
        1.64361,
        1.65263,
        1.57054,
        1.60962,
        1.55609,
        1.60096,
        1.58158,
        1.60808,
        1.62172,
        1.62531,
        1.63016,
        1.56891,
        1.55458,
        1.56674,
        1.51646,
        1.56219,
        1.59943,
        1.59113,
        1.61874,
        1.61827,
        1.61246,
        1.57982,
        1.56428,
        1.59669,
        1.5934,
        1.55886,
        1.57975,
        1.60894,
        1.6053,
        1.61886,
        1.62327,
        1.65593,
        1.61675,
        1.63528,
        1.69529,
        1.5925,
        1.54464,
        1.62747,
        1.58441,
        1.56179,
        1.64544,
        1.61376,
        1.5759,
        1.5711,
        1.51893,
        1.58602,
        1.56311,
        1.54454,
        1.55524,
        1.54775,
        1.53498,
        1.5537,
        1.56969,
        1.55312,
        1.49654,
        1.4694,
        1.47068,
        1.49041,
        1.52737,
        1.55117,
        1.56624,
        1.50265,
        1.46361,
        1.4877,
        1.56187,
        1.48549,
        1.47436,
        1.49438,
        1.48735,
        1.52358,
        1.45191,
        1.46716,
        1.45894,
        1.43994,
        1.47717,
        1.42118,
        1.41153,
        1.43956,
        1.5048,
        1.41334,
        1.44842,
        1.47528,
        1.48634,
        1.49247,
        1.42817,
        1.48321,
        1.44751,
        1.3402,
        1.44404,
        1.46473,
        1.45848,
        1.45129,
        1.44715,
        1.54308,
        1.41535,
        1.59998,
        1.35127,
        1.35411,
        1.51763,
        1.47776,
        1.47896,
        1.39831,
        1.55396,
        1.33878,
        1.39295,
        1.44268,
        1.424,
        1.43123,
        1.41246,
        1.45081,
        1.44225,
        1.42622,
        1.40518,
        1.37695,
        1.42981,
        1.42083,
        1.45846,
        1.48065,
        1.53351,
        1.49289,
        1.48704,
        1.46605,
        1.40297,
        1.40956,
        1.40166,
        1.43973,
        1.43704,
        1.41148,
        1.43599,
        1.46502,
        1.43577,
        1.46247,
        1.43173,
        1.41899,
        1.41822,
        1.46386,
        1.44824,
        1.4535,
        1.41496,
        1.38148,
        1.38278,
        1.40918,
        1.43107,
        1.4028,
        1.40334,
        1.41155,
        1.41765,
        1.41572,
        1.42594,
        1.42609,
        1.4335,
        1.42963,
        1.42028,
        1.40584,
        1.42448,
        1.38155,
        1.36835,
        1.3132,
        1.33422,
        1.29918,
        1.25514,
        1.28963,
        1.36177,
        1.42009,
        1.73547,
        1.89312,
        1.73217,
        1.7206,
        1.71959,
        1.65474,
        1.65884,
        1.71211,
        1.72611,
        1.65029,
        1.44506,
        1.37737,
        1.21,
        1.1598,
        1.08299,
        0.992559,
        0.97094,
        0.801984,
        0.587444,
        0.488176,
        0.635007,
        0.913744,
        1.23163,
        1.58045,
        1.93095,
        2.15575,
        2.1993,
        2.25803,
        2.21939,
        2.20161,
        2.16565,
        2.1434,
        2.03698,
        2.0409,
        2.0152,
        1.95641,
        1.90663,
        1.86652,
        1.84212,
        1.78343,
        1.78757,
        1.84286,
        1.74,
        1.80603,
        1.7389,
        1.70603,
        1.68879,
        1.70295,
        1.6508,
        1.69313,
        1.58422,
        1.54546,
        1.6184,
        1.66469,
        1.88768,
        1.81396,
        1.54007,
        1.69254,
        1.73945,
        1.66318,
        1.68805,
        1.70744,
        1.67201,
        1.71134,
        1.72275,
        1.69721,
        1.62257,
        1.67208,
        1.7031,
        1.75708,
        1.70103,
        1.72324,
        1.68267,
        1.65175,
        1.66786,
        1.69513,
        1.71229,
        1.71582,
        1.64223,
        1.70022,
        1.68281,
        1.71459,
        1.65771,
        1.68339,
        1.67386,
        1.673,
        1.65784,
        1.66185,
        1.68548,
        1.62169,
        1.59311,
        1.62959,
        1.65772,
        1.61499,
        1.63046,
        1.66261,
        1.68068,
        1.63279,
        1.60609,
        1.61018,
        1.60904,
        1.63388,
        1.67704,
        1.62732,
        1.62224,
        1.64776,
        1.68084,
        1.61634,
        1.60014,
        1.51381,
        1.55651,
        1.5453,
        1.58138,
        1.59603,
        1.59226,
        1.60635,
        1.57471,
        1.59444,
        1.61547,
        1.58874,
        1.60584,
        1.63071,
        1.59801,
        1.60093,
        1.60327,
        1.60333,
        1.58738,
        1.62909,
        1.64538,
        1.58608,
        1.62727,
        1.62571,
        1.57002,
        1.55915,
        1.60791,
        1.6111,
        1.55962,
        1.61337,
        1.60758,
        1.57616,
        1.6264,
        1.56079,
        1.55913,
        1.62727,
        1.61026,
        1.57719,
        1.58294,
        1.58983,
        1.58989,
        1.58648,
        1.62599,
        1.57669,
        1.54247,
        1.57632,
        1.6327,
        1.53964,
        1.52535,
        1.55314,
        1.55919,
        1.60139,
        1.62471,
        1.5453,
        1.47454,
        1.48401,
        1.60215,
        1.60423,
        1.56479,
        1.60396,
        1.54479,
        1.55026,
        1.61389,
        1.62611,
        1.54998,
        1.50396,
        1.454,
        1.50466,
        1.49703,
        1.4661,
        1.57787,
        1.45989,
        1.52532,
        1.42062,
        1.58105,
        1.49019,
        1.5064,
        1.51228,
        1.54367,
        1.59953,
        1.53961,
        1.57736,
        1.54371,
        1.59228,
        1.61074,
        1.49484,
        1.49653,
        1.48187,
        1.42695,
        1.45769,
        1.47691,
        1.42313,
        1.47617,
        1.50377,
        1.45877,
        1.38959,
        1.49918,
        1.48336,
        1.43967,
        1.45935,
        1.43667,
        1.43972,
        1.47563,
        1.45539,
        1.41771,
        1.44783,
        1.44296,
        1.43483,
        1.44178,
        1.44631,
        1.41822,
        1.4378,
        1.46333,
        1.39868,
        1.40557,
        1.36675,
        1.38796,
        1.42563,
        1.41625,
        1.40115,
        1.4599,
        1.40889,
        1.38828,
        1.4247,
        1.44667,
        1.41646,
        1.43302,
        1.40839,
        1.41939,
        1.42373,
        1.45505,
        1.46574,
        1.45368,
        1.40702,
        1.42472,
        1.3908,
        1.43349,
        1.3804,
        1.36875,
        1.43196,
        1.40221,
        1.42874,
        1.41818,
        1.39035,
        1.43233,
        1.39733,
        1.36806,
        1.41735,
        1.42,
        1.43627,
        1.39969,
        1.40111,
        1.41388,
        1.39192,
        1.41119,
        1.44519,
        1.41765,
        1.37209,
        1.45865,
        1.418,
        1.4239,
        1.45899,
        1.46027,
        1.35776,
        1.43916,
        1.46847,
        1.42524,
        1.38658,
        1.40634,
        1.3749,
        1.38793,
        1.37601,
        1.4095,
        1.38542,
        1.37724,
        1.45453,
        1.42626,
        1.35697,
        1.41081,
        1.42372,
        1.41448,
        1.41417,
        1.40122,
        1.4436,
        1.44285,
        1.44691,
        1.43894,
        1.32302,
        1.43162,
        1.47512,
        1.33824,
        1.34031,
        1.38304,
        1.474,
        1.47133,
        1.5224,
        1.48251,
        1.47195,
        1.48431,
        1.51855,
        1.40291,
        1.42947,
        1.404,
        1.47536,
        1.50591,
        1.40042,
        1.43082,
        1.37048,
        1.43633,
        1.41747,
        1.42641,
        1.40915,
        1.46294,
        1.41151,
        1.57806,
        1.52854,
        1.46714,
        1.47679,
        1.48719,
        1.40706,
        1.55147,
        1.54625,
        1.37432,
        1.57347,
        1.34073,
        1.41162,
        1.60109,
        1.5399,
        1.53615,
        1.4014,
        1.5099,
        1.48711,
        1.44323,
        1.46164,
        1.46834,
        1.4884,
        1.4634,
        1.45625,
        1.44991,
        1.50663,
        1.49625,
        1.46481,
        1.48116,
        1.51779,
        1.49558,
        1.5153,
        1.47287,
        1.46654,
        1.46005,
        1.52193,
        1.51579,
        1.44198,
        1.54611,
        1.53045,
        1.55158,
        1.47371,
        1.48725,
        1.49727,
        1.51928,
        1.49965,
        1.44497,
        1.49873,
        1.49182,
        1.50754,
        1.5065,
        1.50156,
        1.51511,
        1.52142,
        1.52112,
        1.47692,
        1.55396,
        1.55146,
        1.52133,
        1.50935,
        1.59471,
        1.55413,
        1.53011,
        1.52109,
        1.58704,
        1.524,
        1.53237,
        1.57346,
        1.59054,
        1.57742,
        1.60541,
        1.59095,
        1.57002,
        1.57479,
        null,
        1.44163,
        1.46516,
        1.46228,
        1.42441,
        1.46006,
        1.45905,
        1.44923,
        1.40636,
        1.40152,
        1.39535,
        1.3723,
        1.36777,
        1.38815,
        1.44632,
        1.48278,
        1.45969,
        1.4194,
        1.4027,
        1.39577,
        1.42443,
        1.48463,
        1.43591,
        1.42605,
        1.40783,
        1.40267,
        1.39946,
        1.41665,
        1.415,
        1.4098,
        1.40874,
        1.42649,
        1.41428,
        1.39212,
        1.41954,
        1.40304,
        1.41201,
        1.4364,
        1.39909,
        1.39719,
        1.43676,
        1.42456,
        1.42041,
        1.44149,
        1.41908,
        1.41188,
        1.42756,
        1.41534,
        1.4027,
        1.38095,
        1.41484,
        1.43658,
        1.41793,
        1.3754,
        1.35137,
        1.33093,
        1.38368,
        1.37176,
        1.37624,
        1.40847,
        1.43203,
        1.45475,
        1.46046,
        1.45261,
        1.44305,
        1.41208,
        1.38432,
        1.4198,
        1.41769,
        1.4251,
        1.43344,
        1.40839,
        1.39406,
        1.40965,
        1.4096,
        1.41135,
        1.44822,
        1.44528,
        1.38645,
        1.3752,
        1.39595,
        1.39016,
        1.40024,
        1.39732,
        1.40257,
        1.41703,
        1.42255,
        1.42193,
        1.39899,
        1.3921,
        1.40052,
        1.43838,
        1.43603,
        1.44166,
        1.42301,
        1.42376,
        1.42495,
        1.43044,
        1.41506,
        1.42759,
        1.45481,
        1.49262,
        1.49543,
        1.44674,
        1.44784,
        1.45288,
        1.47095,
        1.47289,
        1.47513,
        1.48297,
        1.48988,
        1.49652,
        1.4842,
        1.45727,
        1.46792,
        1.52112,
        1.53266,
        1.53063,
        1.53522,
        1.57502,
        1.51167,
        1.4966,
        1.48811,
        1.47219,
        1.47535,
        1.45664,
        1.4781,
        1.47193,
        1.51066,
        1.52094,
        1.44017,
        1.47044,
        1.48478,
        1.45471,
        1.5078,
        1.55636,
        1.51391,
        1.47005,
        1.47587,
        1.47606,
        1.47625,
        1.4938,
        1.47999,
        1.46057,
        1.43426,
        1.46828,
        1.47859,
        1.47979,
        1.47545,
        1.46896,
        1.45865,
        1.43852,
        1.43892,
        1.46434,
        1.50341,
        1.4723,
        1.45786,
        1.44797,
        1.45625,
        1.46773,
        1.45116,
        1.44847,
        1.4324,
        1.44013,
        1.44691,
        1.44076,
        1.4588,
        1.42755,
        1.39115,
        1.4032,
        1.37321,
        1.36672,
        1.41804,
        1.4565,
        1.43849,
        1.42158,
        1.41571,
        1.45326,
        1.43827,
        1.42524,
        1.43841,
        1.42003,
        1.38321,
        1.41854,
        1.39603,
        1.41025,
        1.42347,
        1.43234,
        1.40557,
        1.4589,
        1.43804,
        1.4307,
        1.43124,
        1.41487,
        1.41513,
        1.39945,
        1.39311,
        1.42476,
        1.43597,
        1.39907,
        1.42248,
        1.42604,
        1.41863,
        1.43534,
        1.41208,
        1.4237,
        1.41245,
        1.40066,
        1.42761,
        1.44801,
        1.44828,
        1.46013,
        1.43735,
        1.43038,
        1.44296,
        1.45143,
        1.48061,
        1.50788,
        1.48746,
        1.44424,
        1.43078,
        1.44601,
        1.44585,
        1.46032,
        1.48271,
        1.50918,
        1.50378,
        1.50857,
        1.51777,
        1.53014,
        1.52519,
        1.51256,
        1.50697,
        1.52728,
        1.57089,
        1.53797,
        1.5481,
        1.56212,
        1.56033,
        1.54537,
        1.49709,
        1.4804,
        1.40478,
        1.37045,
        1.37206,
        1.38861,
        1.40886,
        1.38419,
        1.51949,
        1.73007,
        1.63679,
        1.82703,
        1.72334,
        1.73285,
        1.77553,
        1.7346,
        1.70422,
        1.74343,
        1.66148,
        1.50936,
        1.32994,
        1.20789,
        1.18203,
        1.08753,
        0.893096,
        0.749049,
        0.532481,
        0.430678,
        0.427604,
        0.664455,
        1.12047,
        1.59024,
        1.92231,
        2.16219,
        2.20976,
        2.19819,
        2.16504,
        2.15714,
        2.10837,
        2.01374,
        1.93604,
        1.92758,
        1.89749,
        1.87912,
        1.80428,
        1.74672,
        1.7418,
        1.76066,
        1.70809,
        1.69848,
        1.70512,
        1.63805,
        1.63324,
        1.61708,
        1.65999,
        1.63315,
        1.61689,
        1.59678,
        1.5861,
        1.5802,
        1.54232,
        1.55081,
        1.55214,
        1.55923,
        1.59453,
        1.57359,
        1.52977,
        1.52293,
        1.52495,
        1.53993,
        1.52303,
        1.50842,
        1.52016,
        1.52932,
        1.52323,
        1.50564,
        1.48495,
        1.47675,
        1.49925,
        1.50145,
        1.47911,
        1.45774,
        1.48238,
        1.46445,
        1.46366,
        1.45344,
        1.43856,
        1.45549,
        1.43828,
        1.43242,
        1.45736,
        1.43479,
        1.42057,
        1.42673,
        1.43464,
        1.43584,
        1.42625,
        1.42015,
        1.43096,
        1.43897,
        1.43593,
        1.45847,
        1.45471,
        1.43209,
        1.44558,
        1.46403,
        1.4583,
        1.41508,
        1.43021,
        1.47101,
        1.42871,
        1.43822,
        1.44257,
        1.46345,
        1.48966,
        1.48756,
        1.46404,
        1.47457,
        1.53824,
        1.48674,
        1.44343,
        1.46132,
        1.4728,
        1.47155,
        1.4885,
        1.46299,
        1.43463,
        1.45858,
        1.49347,
        1.48318,
        1.47686,
        1.48483,
        1.45759,
        1.4625,
        1.46934,
        1.46733,
        1.48112,
        1.50381,
        1.50314,
        1.46276,
        1.49224,
        1.45691,
        1.48226,
        1.50375,
        1.47446,
        1.47571,
        1.47223,
        1.47437,
        1.49496,
        1.47041,
        1.50763,
        1.52963,
        1.5041,
        1.52505,
        1.54102,
        1.51959,
        1.53232,
        1.5023,
        1.52926,
        1.51788,
        1.58233,
        1.65852,
        1.63425,
        1.63377,
        1.5712,
        1.63055,
        1.67176,
        1.5719,
        1.56213,
        1.58592,
        1.59181,
        1.60111,
        1.59057,
        1.51059,
        1.4766,
        1.48129,
        1.49766,
        1.47538,
        1.50414,
        1.49838,
        1.5196,
        1.47619,
        1.47905,
        1.5104,
        1.47606,
        1.48886,
        1.46298,
        1.48279,
        1.43487,
        1.42064,
        1.45061,
        1.46135,
        1.42918,
        1.44005,
        1.42716,
        1.45675,
        1.45761,
        1.45925,
        1.4367,
        1.46524,
        1.44805,
        1.44343,
        1.4478,
        1.45826,
        1.44238,
        1.43132,
        1.44466,
        1.44765,
        1.40366,
        1.39184,
        1.41713,
        1.43876,
        1.46611,
        1.44627,
        1.4739,
        1.45774,
        1.43279,
        1.41648,
        1.44511,
        1.48123,
        1.45644,
        1.44979,
        1.40975,
        1.35902,
        1.39991,
        1.42252,
        1.45551,
        1.42186,
        1.40092,
        1.40452,
        1.40413,
        1.37816,
        1.36107,
        1.39616,
        1.38169,
        1.39902,
        1.40039,
        1.38535,
        1.39688,
        1.44034,
        1.41337,
        1.4097,
        1.42346,
        1.42749,
        1.42121,
        1.42032,
        1.40577,
        1.39633,
        1.38502,
        1.39682,
        1.4149,
        1.41671,
        1.40177,
        1.43356,
        1.41727,
        1.40294,
        1.4081,
        1.41332,
        1.3987,
        1.40414,
        1.40133,
        1.40087,
        1.41095,
        1.4142,
        1.38914,
        1.40462,
        1.4124,
        1.42418,
        1.41767,
        1.41409,
        1.43832,
        1.40868,
        1.42298,
        1.42745,
        1.40938,
        1.43988,
        1.454,
        1.42748,
        1.4255,
        1.42819,
        1.4394,
        1.46881,
        1.4629,
        1.45015,
        1.4512,
        1.45178,
        1.46115,
        1.50026,
        1.49114,
        1.48158,
        1.48112,
        1.47966,
        1.49018,
        1.44676,
        1.46967,
        1.48457,
        1.50305,
        1.50058,
        1.52992,
        1.51732,
        1.50677,
        1.52304,
        1.52177,
        1.55537,
        1.56109,
        1.53181,
        1.56547,
        1.55224,
        1.57108,
        1.5136,
        1.52152,
        1.59531,
        1.54216,
        1.53261,
        1.51108,
        1.52705,
        1.52,
        1.50788,
        1.52053,
        1.53397,
        1.53284,
        1.55931,
        1.54437,
        1.544,
        1.5673,
        1.51931,
        1.53571,
        1.59066,
        1.56895,
        1.54922,
        1.53907,
        1.58878,
        1.60513,
        1.56821,
        1.58485,
        1.60728,
        1.62973,
        1.59561,
        1.64565,
        1.65245,
        1.66086,
        1.65247,
        1.63293,
        1.61709,
        1.66425,
        1.6475,
        1.6714,
        1.66163,
        1.6549,
        1.62538,
        1.60886,
        1.64332,
        1.64411,
        1.64863,
        1.68547,
        1.69965,
        1.60539,
        1.62615,
        1.6478,
        1.6636,
        1.64365,
        1.66488,
        1.67931,
        1.69217,
        1.68038,
        1.63925,
        1.6678,
        1.66764,
        1.63043,
        1.62298,
        1.65593,
        1.61746,
        1.61086,
        1.60507,
        1.63438,
        1.62318,
        1.5886,
        1.6358,
        1.53553,
        1.53865,
        1.4617,
        1.46877,
        1.53848,
        1.6036,
        1.7382,
        1.70919,
        1.72936,
        1.72014,
        1.60199,
        1.58804,
        1.74162,
        1.85533,
        1.69449,
        1.78693,
        1.75748,
        1.63505,
        1.50779,
        1.37095,
        1.27405,
        1.16354,
        1.03808,
        0.843628,
        0.667301,
        0.436416,
        0.341523,
        0.296989,
        0.485429,
        0.890493,
        1.34851,
        1.74423,
        2.06715,
        2.19106,
        2.19592,
        2.16884,
        2.10459,
        2.0622,
        1.99471,
        1.94211,
        1.90231,
        1.87351,
        1.84023,
        1.80797,
        1.77302,
        1.72545,
        1.70943,
        1.68893,
        1.68025,
        1.69744,
        1.67932,
        1.63919,
        1.65857,
        1.62697,
        1.60047,
        1.56848,
        1.57905,
        1.56248,
        1.55907,
        1.55025,
        1.58562,
        1.5387,
        1.51824,
        1.51771,
        1.5574,
        1.57425,
        1.53324,
        1.535,
        1.54752,
        1.50418,
        1.51951,
        1.51845,
        1.524,
        1.52911,
        1.47038,
        1.47815,
        1.47857,
        1.48322,
        1.5013,
        1.50325,
        1.48456,
        1.45589,
        1.46368,
        1.4728,
        1.46895,
        1.46336,
        1.47522,
        1.46639,
        1.46591,
        1.44733,
        1.44839,
        1.4597,
        1.45849,
        1.48357,
        1.48919,
        1.47279,
        1.43117,
        1.43994,
        1.46673,
        1.45925,
        1.44008,
        1.4769,
        1.49778,
        1.48529,
        1.46152,
        1.46665,
        1.4809,
        1.47165,
        1.46588,
        1.46537,
        1.46393,
        1.44102,
        1.45119,
        1.47417,
        1.46492,
        1.45371,
        1.43534,
        1.4692,
        1.45095,
        1.43989,
        1.46437,
        1.4609,
        1.45951,
        1.45814,
        1.44406,
        1.4946,
        1.44619,
        1.4299,
        1.43807,
        1.45657,
        1.46704,
        1.45041,
        1.44004,
        1.42275,
        1.44268,
        1.43231,
        1.42215,
        1.47089,
        1.4543,
        1.45726,
        1.46107,
        1.46829,
        1.46106,
        1.44772,
        1.43367,
        1.44035,
        1.45503,
        1.46953,
        1.46954,
        1.47422,
        1.46592,
        1.45661,
        1.46396,
        1.44648,
        1.43825,
        1.46288,
        1.45697,
        1.4665,
        1.44967,
        1.45099,
        1.4629,
        1.45695,
        1.43267,
        1.43688,
        1.44574,
        1.42127,
        1.46548,
        1.44574,
        1.42606,
        1.42702,
        1.43066,
        1.43316,
        1.4325,
        1.41526,
        1.40728,
        1.4099,
        1.43769,
        1.43992,
        1.4315,
        1.41914,
        1.42625,
        1.44775,
        1.43788,
        1.43519,
        1.4532,
        1.46297,
        1.42356,
        1.41399,
        1.42862,
        1.42916,
        1.43454,
        1.42805,
        1.40862,
        1.41956,
        1.39122,
        1.42587,
        1.46127,
        1.43734,
        1.44872,
        1.42009,
        1.43372,
        1.45244,
        1.43947,
        1.4042,
        1.43471,
        1.45943,
        1.45482,
        1.45383,
        1.48072,
        1.45096,
        1.47997,
        1.46895,
        1.49049,
        1.49111,
        1.47424,
        1.48791,
        1.47857,
        1.47032,
        1.47298,
        1.48174,
        1.50469,
        1.52859,
        1.51137,
        1.50479,
        1.54202,
        1.54976,
        1.52937,
        1.54576,
        1.51508,
        1.51964,
        1.54912,
        1.52212,
        1.4955,
        1.53883,
        1.52895,
        1.50089,
        1.52161,
        1.56012,
        1.57576,
        1.55995,
        1.568,
        1.60557,
        1.56607,
        1.56047,
        1.53958,
        1.57685,
        1.57798,
        1.54584,
        1.55691,
        1.5687,
        1.54173,
        1.55808,
        1.55359,
        1.58042,
        1.55452,
        1.53941,
        1.55215,
        1.53291,
        1.55942,
        1.55163,
        1.56206,
        1.56686,
        1.56283,
        1.56308,
        1.55606,
        1.56433,
        1.56454,
        1.56655,
        1.56326,
        1.54225,
        1.55688,
        1.57573,
        1.59308,
        1.57804,
        1.58083,
        1.56385,
        1.57308,
        1.57125,
        1.55316,
        1.5238,
        1.51841,
        1.53752,
        1.55429,
        1.56752,
        1.53144,
        1.55188,
        1.5579,
        1.52007,
        1.49833,
        1.52264,
        1.52305,
        1.48141,
        1.47829,
        1.51351,
        1.52538,
        1.50994,
        1.50822,
        1.4829,
        1.50816,
        1.47609,
        1.47041,
        1.49352,
        1.50404,
        1.45952,
        1.50134,
        1.50849,
        1.50056,
        1.52594,
        1.53266,
        1.52413,
        1.49503,
        1.49184,
        1.49646,
        1.5228,
        1.53046,
        1.53191,
        1.54621,
        1.5407,
        1.55586,
        1.59066,
        1.5683,
        1.52777,
        1.57598,
        1.59142,
        1.61662,
        1.59701,
        1.58136,
        1.5629,
        1.62558,
        1.62546,
        1.65266,
        1.62821,
        1.61115,
        1.59688,
        1.59199,
        1.60873,
        1.63789,
        1.6115,
        1.58192,
        1.59856,
        1.62333,
        1.62404,
        1.62192,
        1.61866,
        1.57026,
        1.56182,
        1.58422,
        1.61189,
        1.58575,
        1.57301,
        1.60129,
        1.56786,
        1.54155,
        1.57596,
        1.57568,
        1.54745,
        1.57475,
        1.58691,
        1.5254,
        1.54211,
        1.55672,
        1.57487,
        1.56837,
        1.53378,
        1.5414,
        1.54832,
        1.56853,
        1.53498,
        1.58001,
        1.56799,
        1.52984,
        1.50894,
        1.50054,
        1.49212,
        1.50478,
        1.52237,
        1.50714,
        1.51638,
        1.52308,
        1.48709,
        1.51895,
        1.5277,
        1.49652,
        1.46208,
        1.48042,
        1.48751,
        1.46821,
        1.46587,
        1.49299,
        1.42711,
        1.44983,
        1.4302,
        1.4294,
        1.41233,
        1.35361,
        1.31566,
        1.3953,
        1.41476,
        1.41226,
        1.46683,
        1.65568,
        1.61617,
        1.35174,
        1.55528,
        1.71719,
        1.64936,
        1.61451,
        1.61285,
        1.66218,
        1.58256,
        1.56727,
        1.51456,
        1.35964,
        1.28311,
        1.24044,
        1.10002,
        0.916734,
        0.690624,
        0.50229,
        0.313146,
        0.260792,
        0.319915,
        0.51543,
        0.840155,
        1.2971,
        1.72567,
        1.99654,
        2.08322,
        2.14697,
        2.08387,
        2.01804,
        1.98991,
        1.96733,
        1.90157,
        1.88038,
        1.84351,
        1.83821,
        1.80748,
        1.76296,
        1.71587,
        1.75583,
        1.75027,
        1.71457,
        1.65878,
        1.67301,
        1.6518,
        1.63244,
        1.61434,
        1.64209,
        1.57701,
        1.62083,
        1.61773,
        1.55808,
        1.57157,
        1.59195,
        1.55838,
        1.55139,
        1.57666,
        1.57464,
        1.57994,
        1.53827,
        1.54158,
        1.55635,
        1.556,
        1.58334,
        1.54398,
        1.56073,
        1.52345,
        1.51487,
        1.51987,
        1.54798,
        1.49626,
        1.47845,
        1.49227,
        1.50676,
        1.51616,
        1.47672,
        1.44825,
        1.43879,
        1.45597,
        1.45281,
        1.45631,
        1.45173,
        1.41862,
        1.42015,
        1.43702,
        1.42451,
        1.43723,
        1.40803,
        1.39285,
        1.43459,
        1.42016,
        1.43065,
        1.45351,
        1.42933,
        1.43688,
        1.4305,
        1.42458,
        1.40874,
        1.4179,
        1.4514,
        1.45051,
        1.42151,
        1.4331,
        1.44997,
        1.44376,
        1.40837,
        1.42712,
        1.45826,
        1.44629,
        1.41405,
        1.44445,
        1.449,
        1.43087,
        1.41861,
        1.45523,
        1.42618,
        1.43577,
        1.45254,
        1.42393,
        1.4409,
        1.45443,
        1.44298,
        1.46045,
        1.44128,
        1.46086,
        1.47637,
        1.45244,
        1.4499,
        1.48008,
        1.47597,
        1.48389,
        1.48177,
        1.48566,
        1.48487,
        1.44168,
        1.52849,
        1.52467,
        1.45454,
        1.49596,
        1.52287,
        1.53167,
        1.52537,
        1.52207,
        1.52802,
        1.54041,
        1.55316,
        1.55058,
        1.5411,
        1.55694,
        1.54304,
        1.57743,
        1.56815,
        1.55439,
        1.54172,
        1.57624,
        1.56619,
        1.5867,
        1.59378,
        1.61032,
        1.58833,
        1.60744,
        1.57922,
        1.59849,
        1.56268,
        1.58151,
        1.59397,
        1.59785,
        1.59171,
        1.61815,
        1.59456,
        1.57668,
        1.5665,
        1.57967,
        1.57339,
        1.58023,
        1.55798,
        1.54377,
        1.57194,
        1.59616,
        1.57743,
        1.57933,
        1.5712,
        1.53064,
        1.52403,
        1.55652,
        1.54961,
        1.55078,
        1.56713,
        1.53993,
        1.516,
        1.55108,
        1.55491,
        1.54585,
        1.52844,
        1.56133,
        1.59121,
        1.55806,
        1.5514,
        1.56446,
        1.51954,
        1.51644,
        1.53317,
        1.55959,
        1.53389,
        1.49103,
        1.48767,
        1.48792,
        1.47498,
        1.50537,
        1.51072,
        1.49343,
        1.47829,
        1.48446,
        1.45951,
        1.46629,
        1.45126,
        1.48029,
        1.45162,
        1.47753,
        1.45413,
        1.45793,
        1.47635,
        1.44591,
        1.46641,
        1.44693,
        1.46984,
        1.43051,
        1.43814,
        1.45949,
        1.45346,
        1.47515,
        1.45106,
        1.48896,
        1.47357,
        1.48468,
        1.49427,
        1.52126,
        1.48296,
        1.5129,
        1.53472,
        1.56599,
        1.57346,
        1.58935,
        1.70752,
        1.60755,
        1.68107,
        1.69626,
        1.74403,
        1.63401,
        1.51562,
        1.55231,
        1.60729,
        1.54242,
        1.51672,
        1.46509,
        1.46593,
        1.47575,
        1.46197,
        1.47064,
        1.46137,
        1.44623,
        1.44259,
        1.4738,
        1.51478,
        1.50691,
        1.44975,
        1.48064,
        1.45224,
        1.4866,
        1.50515,
        1.48513,
        1.49074,
        1.51099,
        1.4793,
        1.47821,
        1.50057,
        1.49126,
        1.5027,
        1.5117,
        1.52825,
        1.54227,
        1.50081,
        1.54133,
        1.52272,
        1.55023,
        1.55749,
        1.58269,
        1.569,
        1.59555,
        1.60726,
        1.57907,
        1.61166,
        1.60889,
        1.59659,
        1.62782,
        1.62297,
        1.63525,
        1.63233,
        1.64716,
        1.62526,
        1.62282,
        1.65191,
        1.66805,
        1.68005,
        1.68195,
        1.73309,
        1.75336,
        1.76332,
        1.66057,
        1.6778,
        1.66807,
        1.7019,
        1.69787,
        1.68223,
        1.63818,
        1.6531,
        1.68215,
        1.65634,
        1.6417,
        1.57507,
        1.58219,
        1.62531,
        1.61595,
        1.59198,
        1.61199,
        1.62154,
        1.58848,
        1.59137,
        1.59393,
        1.60999,
        1.57778,
        1.60842,
        1.59132,
        1.5875,
        1.57809,
        1.57183,
        1.58621,
        1.57964,
        1.57562,
        1.5588,
        1.58767,
        1.57658,
        1.56881,
        1.55972,
        1.54646,
        1.54445,
        1.59075,
        1.59469,
        1.5756,
        1.58811,
        1.59267,
        1.56827,
        1.59868,
        1.561,
        1.58014,
        1.52741,
        1.56359,
        1.55898,
        1.57389,
        1.56885,
        1.52432,
        1.53074,
        1.53887,
        1.51405,
        1.50688,
        1.49879,
        1.53057,
        1.54278,
        1.52882,
        1.5203,
        1.51015,
        1.49861,
        1.51355,
        1.50511,
        1.46884,
        1.50656,
        1.50389,
        1.55894,
        1.51016,
        1.50159,
        1.49367,
        1.47866,
        1.48931,
        1.49396,
        1.49765,
        1.45357,
        1.49614,
        1.47761,
        1.46744,
        1.46687,
        1.50363,
        1.47893,
        1.4875,
        1.48887,
        1.48986,
        1.46215,
        1.46818,
        1.49284,
        1.4676,
        1.41324,
        1.42596,
        1.46984,
        1.47378,
        1.50573,
        1.52197,
        1.39832,
        1.3935,
        1.45515,
        1.45797,
        1.51174,
        1.54178,
        1.57425,
        1.46402,
        1.54643,
        1.67991,
        1.6668,
        1.78107,
        1.71916,
        1.78089,
        1.78948,
        1.74916,
        1.68019,
        1.6364,
        1.58195,
        1.43722,
        1.34063,
        1.32681,
        1.13981,
        0.886609,
        2.61393,
        2.36585,
        2.47486,
        2.32008,
        2.27601,
        2.15109,
        2.00831,
        1.98775,
        1.95891,
        2.02187,
        1.92619,
        1.81489,
        1.73719,
        1.89261,
        1.75577,
        1.73637,
        1.77472,
        1.71881,
        1.74334,
        1.72145,
        1.75624,
        1.72878,
        1.71967,
        1.67893,
        1.67033,
        1.67065,
        1.6555,
        1.71872,
        1.6872,
        1.70157,
        1.6909,
        1.66971,
        1.66194,
        1.59009,
        1.622,
        1.63974,
        1.65278,
        1.64651,
        1.63289,
        1.61343,
        1.58719,
        1.62993,
        1.62703,
        1.62537,
        1.64189,
        1.68918,
        1.66062,
        1.62387,
        1.63669,
        1.64928,
        1.66282,
        1.65891,
        1.65087,
        1.62686,
        1.62684,
        1.62431,
        1.62034,
        1.62234,
        1.60086,
        1.62657,
        1.63683,
        1.64288,
        1.62879,
        1.57245,
        1.56348,
        1.57386,
        1.60983,
        1.55686,
        1.55595,
        1.58456,
        1.53375,
        1.61691,
        1.60728,
        1.54974,
        1.57971,
        1.5494,
        1.56732,
        1.55582,
        1.57643,
        1.56228,
        1.5696,
        1.5796,
        1.50595,
        1.53159,
        1.56568,
        1.54765,
        1.57072,
        1.50037,
        1.54431,
        1.52022,
        1.487,
        1.47952,
        1.53328,
        1.50958,
        1.50594,
        1.50687,
        1.51325,
        1.51142,
        1.51858,
        1.49548,
        1.53195,
        1.53291,
        1.47852,
        1.43943,
        1.48855,
        1.4996,
        1.44515,
        1.49542,
        1.48137,
        1.47445,
        1.45848,
        1.4446,
        1.4473,
        1.54998,
        1.47701,
        1.46298,
        1.4756,
        1.47053,
        1.42793,
        1.44833,
        1.43623,
        1.45441,
        1.43217,
        1.4002,
        1.42812,
        1.41747,
        1.42959,
        1.47585,
        1.43443,
        1.43587,
        1.4447,
        1.43114,
        1.4159,
        1.36578,
        1.41751,
        1.4056,
        1.43502,
        1.4745,
        1.43948,
        1.38295,
        1.39804,
        1.40153,
        1.37333,
        1.40076,
        1.40273,
        1.37486,
        1.40979,
        1.39611,
        1.41366,
        1.45318,
        1.39248,
        1.37398,
        1.40836,
        1.40441,
        1.41593,
        1.41266,
        1.41009,
        1.42851,
        1.39875,
        1.38987,
        1.41454,
        1.3974,
        1.39653,
        1.41072,
        1.44447,
        1.45177,
        1.43695,
        1.40935,
        1.44855,
        1.40169,
        1.41315,
        1.39324,
        1.41554,
        1.40334,
        1.41849,
        1.43487,
        1.39544,
        1.39187,
        1.39762,
        1.43142,
        1.44431,
        1.40305,
        1.39904,
        1.38755,
        1.40946,
        1.35767,
        1.40984,
        1.37854,
        1.38954,
        1.39996,
        1.46518,
        1.43255,
        1.3969,
        1.38284,
        1.42938,
        1.38134,
        1.39024,
        1.40692,
        1.39547,
        1.39259,
        1.43129,
        1.41202,
        1.43715,
        1.42592,
        1.41923,
        1.40035,
        1.43956,
        1.41457,
        1.3997,
        1.40554,
        1.38325,
        1.39532,
        1.42625,
        1.41903,
        1.39987,
        1.45125,
        1.38825,
        1.44714,
        1.46918,
        1.46492,
        1.51994,
        1.50519,
        1.46974,
        1.48554,
        1.46753,
        1.44326,
        1.49688,
        1.49509,
        1.52607,
        1.52891,
        1.51942,
        1.50568,
        1.52976,
        1.55829,
        1.56576,
        1.54644,
        1.52041,
        1.54443,
        1.53593,
        1.53426,
        1.57535,
        1.57287,
        1.55794,
        1.55899,
        1.5311,
        1.56442,
        1.5439,
        1.60237,
        1.5671,
        1.58573,
        1.5684,
        1.60331,
        1.62705,
        1.63055,
        1.59627,
        1.63269,
        1.62216,
        1.62272,
        1.65793,
        1.60794,
        1.66064,
        1.59487,
        1.64714,
        1.59446,
        1.62152,
        1.59936,
        1.55913,
        1.60774,
        1.6269,
        1.61658,
        1.58755,
        1.60912,
        1.58702,
        1.59457,
        1.58777,
        1.59654,
        1.59648,
        1.58837,
        1.57479,
        1.57658,
        1.59398,
        1.61431,
        1.64162,
        1.58033,
        1.60835,
        1.62584,
        1.63035,
        1.62556,
        1.59328,
        1.64296,
        1.59968,
        1.57354,
        1.59763,
        1.58842,
        1.5905,
        1.62033,
        1.61594,
        1.58522,
        1.59204,
        1.57115,
        1.57303,
        1.54637,
        1.55493,
        1.52872,
        1.54164,
        1.54353,
        1.54283,
        1.54976,
        1.5422,
        1.5759,
        1.56086,
        1.50588,
        1.554,
        1.53762,
        1.51357,
        1.53999,
        1.52188,
        1.51382,
        1.51505,
        1.53544,
        1.54215,
        1.53324,
        1.43969,
        1.45891,
        1.45093,
        1.52847,
        1.49778,
        1.48577,
        1.50526,
        1.46253,
        1.47587,
        1.45721,
        1.47635,
        1.4596,
        1.49993,
        1.47807,
        1.43616,
        1.43974,
        1.41221,
        1.48062,
        1.50482,
        1.45176,
        1.45306,
        1.44431,
        1.461,
        1.44629,
        1.47069,
        1.43862,
        1.49445,
        1.43946,
        1.43704,
        1.46922,
        1.4295,
        1.41577,
        1.38896,
        1.42733,
        1.42287,
        1.40262,
        1.43426,
        1.43397,
        1.41004,
        1.40495,
        1.4124,
        1.46649,
        1.38295,
        1.41058,
        1.41665,
        1.41482,
        1.40606,
        1.44037,
        1.47712,
        1.40051,
        1.40832,
        1.40575,
        1.41516,
        1.43903,
        1.40312,
        1.47196,
        1.43932,
        1.40318,
        1.40956,
        1.40851,
        1.42502,
        1.38921,
        1.41857,
        1.43458,
        1.46865,
        1.38848,
        1.40589,
        1.45829,
        1.47266,
        1.46957,
        1.4504,
        1.39228,
        1.42055,
        1.38985,
        1.2695,
        1.42463,
        1.34305,
        1.41254,
        1.48097,
        1.44599,
        1.61431,
        1.56052,
        1.67061,
        1.66499,
        1.68417,
        1.71778,
        1.75496,
        1.5913,
        1.65027,
        1.65483,
        1.57683,
        1.49037,
        1.42039,
        1.42005,
        1.28478,
        1.19288,
        1.0579,
        0.800197,
        0.638255,
        0.38827,
        0.256409,
        0.313083,
        0.591731,
        0.958755,
        1.4028,
        1.7243,
        1.78401,
        1.7139,
        1.65506,
        1.63391,
        1.72548,
        1.77647,
        1.90763,
        1.89597,
        1.85603,
        1.73023,
        1.79836,
        1.72787,
        1.75304,
        1.70463,
        1.70802,
        1.72009,
        1.67965,
        1.69547,
        1.68051,
        1.63524,
        1.65846,
        1.64877,
        1.64419,
        1.65043,
        1.62618,
        1.58199,
        1.61042,
        1.60932,
        1.58414,
        1.60248,
        1.59751,
        1.55553,
        1.60865,
        1.62163,
        1.58913,
        1.57162,
        1.60589,
        1.5794,
        1.56291,
        1.59318,
        1.59353,
        1.6275,
        1.54897,
        1.54521,
        1.58222,
        1.53103,
        1.53785,
        1.50962,
        1.49019,
        1.53121,
        1.52497,
        1.512,
        1.44665,
        1.48109,
        1.5179,
        1.51197,
        1.46979,
        1.47495,
        1.42725,
        1.51049,
        1.47377,
        1.4686,
        1.4133,
        1.46818,
        1.41978,
        1.45924,
        1.46658,
        1.478,
        1.44779,
        1.45333,
        1.37874,
        1.38149,
        1.43134,
        1.42859,
        1.39715,
        1.44811,
        1.48053,
        1.4688,
        1.35841,
        1.37224,
        1.4311,
        1.4275,
        1.46088,
        1.44801,
        1.40064,
        1.48073,
        1.49461,
        1.4582,
        1.49241,
        1.44918,
        1.44812,
        1.41701,
        1.40274,
        1.42176,
        1.43842,
        1.39332,
        1.44941,
        null,
        1.51427,
        1.50074,
        1.52761,
        1.52716,
        1.51543,
        1.53114,
        1.54384,
        1.54903,
        1.5307,
        1.48051,
        1.44705,
        1.45465,
        1.49359,
        1.50043,
        1.45557,
        1.47182,
        1.47699,
        1.4675,
        1.48448,
        1.47959,
        1.46989,
        1.49676,
        1.47274,
        1.44075,
        1.45251,
        1.45653,
        1.43685,
        1.44104,
        1.4753,
        1.46872,
        1.45211,
        1.45101,
        1.4401,
        1.45231,
        1.46685,
        1.45116,
        1.46319,
        1.46361,
        1.47417,
        1.47221,
        1.46313,
        1.46088,
        1.46553,
        1.45814,
        1.44735,
        1.45399,
        1.46117,
        1.46545,
        1.47344,
        1.49089,
        1.47648,
        1.49498,
        1.48288,
        1.46625,
        1.51111,
        1.50788,
        1.51877,
        1.52564,
        1.50833,
        1.53932,
        1.53861,
        1.52306,
        1.53584,
        1.55783,
        1.55345,
        1.53704,
        1.55635,
        1.54245,
        1.55262,
        1.52428,
        1.52627,
        1.58171,
        1.58818,
        1.56576,
        1.54553,
        1.53672,
        1.53125,
        1.54282,
        1.54025,
        1.53181,
        1.51408,
        1.49196,
        1.51058,
        1.54689,
        1.57319,
        1.58415,
        1.53821,
        1.52805,
        1.53629,
        1.54646,
        1.515,
        1.53153,
        1.56617,
        1.56512,
        1.54328,
        1.53847,
        1.51684,
        1.53162,
        1.53499,
        1.54019,
        1.53909,
        1.53722,
        1.54927,
        1.51134,
        1.53431,
        1.5371,
        1.55216,
        1.55786,
        1.54075,
        1.49724,
        1.53778,
        1.5071,
        1.5079,
        1.5506,
        1.52035,
        1.46642,
        1.47294,
        1.47785,
        1.41023,
        1.38209,
        1.39218,
        1.42374,
        1.43742,
        1.53082,
        1.52174,
        1.53268,
        1.55781,
        1.60924,
        1.59273,
        1.60694,
        1.59031,
        1.54593,
        1.58911,
        1.63167,
        1.62989,
        1.60517,
        1.6467,
        1.59369,
        1.47873,
        1.4236,
        1.31601,
        1.17684,
        1.0218,
        0.778555,
        0.514769,
        0.321602,
        0.243295,
        0.398268,
        0.716583,
        1.12236,
        1.47335,
        1.58669,
        1.51678,
        1.45827,
        1.51123,
        1.64311,
        1.77654,
        1.82334,
        1.82964,
        1.78221,
        1.73669,
        1.73562,
        1.73853,
        1.69978,
        1.66216,
        1.67142,
        1.65724,
        1.66121,
        1.64748,
        1.65133,
        1.64102,
        1.6274,
        1.61852,
        1.60614,
        1.57814,
        1.56279,
        1.54529,
        1.58926,
        1.63657,
        1.61464,
        1.59324,
        1.56654,
        1.58857,
        1.57803,
        1.55641,
        1.54752,
        1.56042,
        1.54775,
        1.54815,
        1.57548,
        1.54043,
        1.53009,
        1.52373,
        1.5062,
        1.5187,
        1.52267,
        1.52,
        1.55455,
        1.54631,
        1.52623,
        1.53144,
        1.53796,
        1.51843,
        1.50184,
        1.53814,
        1.51598,
        1.48825,
        1.5038,
        1.5153,
        1.51195,
        1.48888,
        1.48969,
        1.50775,
        1.51281,
        1.48183,
        1.49255,
        1.52352,
        1.53347,
        1.50413,
        1.49092,
        1.45721,
        1.46331,
        1.51613,
        1.51354,
        1.50686,
        1.52071,
        1.54077,
        1.49952,
        1.51558,
        1.51482,
        1.5088,
        1.49775,
        1.53746,
        1.55249,
        1.50968,
        1.48284,
        1.47811,
        1.52738,
        1.5224,
        1.51052,
        1.47402,
        1.49103,
        1.51339,
        1.52859,
        1.52854,
        1.49142,
        1.47469,
        1.50252,
        1.49799,
        1.49319,
        1.51777,
        1.51048,
        1.54281,
        1.54604,
        1.53998,
        1.52332,
        1.48331,
        1.52164,
        1.53686,
        1.52368,
        1.50265,
        1.49497,
        1.50293,
        1.51191,
        1.50251,
        1.50918,
        1.53141,
        1.52197,
        1.5408,
        1.5132,
        1.52958,
        1.55379,
        1.55282,
        1.50339,
        1.52292,
        1.54587,
        1.5318,
        1.54703,
        1.52318,
        1.56705,
        1.56313,
        1.51892,
        1.51789,
        1.54423,
        1.5507,
        1.53794,
        1.51717,
        1.5287,
        1.51129,
        1.505,
        1.53634,
        1.56667,
        1.55647,
        1.54992,
        1.53405,
        1.57382,
        1.57624,
        1.54169,
        1.53856,
        1.56646,
        1.56964,
        1.57914,
        1.58181,
        1.56195,
        1.59823,
        1.62339,
        1.62659,
        1.62668,
        1.60845,
        1.61138,
        1.60077,
        1.64485,
        1.67806,
        1.67491,
        1.65758,
        1.64829,
        1.65727,
        1.68202,
        1.70468,
        1.68658,
        1.71789,
        1.70677,
        1.66443,
        1.70273,
        1.70824,
        1.69033,
        1.67593,
        1.66178,
        1.68259,
        1.7668,
        1.74228,
        1.75392,
        1.70298,
        1.65221,
        1.82015,
        2.01994,
        1.97573,
        2.00897,
        2.25635,
        2.52351,
        2.03881,
        2.02933,
        1.81176,
        1.73984,
        1.74075,
        1.68443,
        1.69298,
        1.64122,
        1.59327,
        1.62195,
        1.67771,
        1.64176,
        1.62612,
        1.60063,
        1.58376,
        1.61471,
        1.59862,
        1.59126,
        1.57774,
        1.55712,
        1.53692,
        1.5538,
        1.53025,
        1.5547,
        1.56921,
        1.53952,
        1.57189,
        1.53841,
        1.52976,
        1.534,
        1.54574,
        1.55053,
        1.55828,
        1.54214,
        1.56704,
        1.56269,
        1.56905,
        1.59155,
        1.56625,
        1.5492,
        1.56559,
        1.59145,
        1.57885,
        1.60242,
        1.58611,
        1.56462,
        1.57124,
        1.54802,
        1.57593,
        1.61701,
        1.60496,
        1.59617,
        1.59135,
        1.5891,
        1.56191,
        1.58746,
        1.59578,
        1.59513,
        1.56786,
        1.58967,
        1.59918,
        1.58502,
        1.58317,
        1.56986,
        1.54724,
        1.55346,
        1.57244,
        1.5752,
        1.57419,
        1.56761,
        1.55737,
        1.54669,
        1.54455,
        1.53222,
        1.53787,
        1.55543,
        1.58861,
        1.56247,
        1.54947,
        1.53999,
        1.56011,
        1.54753,
        1.57591,
        1.58326,
        1.53772,
        1.55438,
        1.57505,
        1.55918,
        1.52705,
        1.5791,
        1.55671,
        1.53724,
        1.51116,
        1.53199,
        1.53182,
        1.52719,
        1.51377,
        1.54254,
        1.52668,
        1.50136,
        1.50875,
        1.51259,
        1.48956,
        1.48895,
        1.51205,
        1.51902,
        1.52741,
        1.52453,
        1.51209,
        1.52226,
        1.50491,
        1.48334,
        1.48103,
        1.45508,
        1.46597,
        1.47712,
        1.46073,
        1.46424,
        1.51678,
        1.50046,
        1.5087,
        1.53325,
        1.50213,
        1.51667,
        1.50664,
        1.53073,
        1.54297,
        1.53682,
        1.54395,
        1.53023,
        1.51393,
        1.56202,
        1.52147,
        1.54094,
        1.53611,
        1.54339,
        1.51952,
        1.52561,
        1.54961,
        1.57649,
        1.60042,
        1.62389,
        1.58257,
        1.57496,
        1.54895,
        1.59585,
        1.62794,
        1.62779,
        1.59911,
        1.56949,
        1.553,
        1.58759,
        1.57384,
        1.61478,
        1.59815,
        1.59222,
        1.60823,
        1.59375,
        1.55797,
        1.55468,
        1.57163,
        1.58128,
        1.60322,
        1.59052,
        1.61789,
        1.56192,
        1.54281,
        1.57177,
        1.56934,
        1.56333,
        1.57307,
        1.56386,
        1.57903,
        1.61548,
        1.55705,
        1.56186,
        1.59992,
        1.72456,
        1.66542,
        1.65463,
        1.58343,
        1.56175,
        1.61848,
        1.72236,
        1.65681,
        1.67662,
        1.6582,
        1.67302,
        1.71239,
        1.68233,
        1.71805,
        1.71258,
        1.75809,
        1.71215,
        1.58789,
        1.61438,
        1.50735,
        1.38912,
        1.21119,
        0.953316,
        0.734204,
        0.496965,
        0.345902,
        0.330737,
        0.551607,
        0.961289,
        1.33476,
        1.56373,
        1.493,
        1.43263,
        1.38648,
        1.48529,
        1.7114,
        1.86551,
        1.87122,
        1.83991,
        1.82777,
        1.79566,
        1.77359,
        1.73064,
        1.75974,
        1.75611,
        1.71812,
        1.70223,
        1.68951,
        1.69285,
        1.67402,
        1.66204,
        1.65941,
        1.66248,
        1.64945,
        1.6414,
        1.6456,
        1.62429,
        1.64907,
        1.65385,
        1.64145,
        1.63828,
        1.62133,
        1.65532,
        1.63488,
        1.63273,
        1.66502,
        1.64894,
        1.60635,
        1.61536,
        1.62901,
        1.63868,
        1.61999,
        1.6269,
        1.59995,
        1.59295,
        1.61053,
        1.64292,
        1.62645,
        1.57568,
        1.58173,
        1.60483,
        1.58399,
        1.61724,
        1.62739,
        1.5885,
        1.61558,
        1.61215,
        1.62934,
        1.6072,
        1.62408,
        1.60332,
        1.58088,
        1.58433,
        1.58349,
        1.62657,
        1.61728,
        1.58079,
        1.58198,
        1.56824,
        1.55867,
        1.57426,
        1.56659,
        1.57896,
        1.57467,
        1.57435,
        1.59099,
        1.55008,
        1.59295,
        1.56315,
        1.56559,
        1.5877,
        1.59636,
        1.57548,
        1.55177,
        1.58707,
        1.59467,
        1.57506,
        1.58581,
        1.55655,
        1.53677,
        1.54354,
        1.58587,
        1.58239,
        1.57681,
        1.56499,
        1.57423,
        1.5865,
        1.57811,
        1.61553,
        1.5665,
        1.56861,
        1.55356,
        1.58182,
        1.58746,
        1.56319,
        1.59189,
        1.59356,
        1.55894,
        1.61658,
        1.62834,
        1.61495,
        1.61364,
        1.62753,
        1.63756,
        1.6364,
        1.65827,
        1.63702,
        1.65498,
        1.65717,
        1.66616,
        1.67651,
        1.68754,
        1.71135,
        1.6984,
        1.72474,
        1.73383,
        1.74606,
        1.75295,
        1.77051,
        1.77684,
        1.77652,
        1.75341,
        1.77895,
        1.81331,
        1.80664,
        1.81526,
        1.81711,
        1.85111,
        1.85913,
        1.85731,
        1.85291,
        1.84196,
        1.88006,
        1.85071,
        1.84462,
        1.8471,
        1.86832,
        1.89161,
        1.87753,
        1.87757,
        1.92559,
        1.90049,
        1.89223,
        1.88702,
        1.92453,
        1.89972,
        1.90658,
        1.89447,
        1.933,
        1.9596,
        1.93089,
        1.91502,
        1.89775,
        1.92073,
        1.94729,
        1.96842,
        1.9157,
        1.80565,
        1.93858,
        1.95943,
        1.97551,
        1.98504,
        1.99188,
        1.99897,
        1.98097,
        2.00905,
        2.03048,
        2.03515,
        2.04283,
        2.0295,
        2.01905,
        1.89826,
        1.79651,
        2.04608,
        2.01042,
        2.03033,
        2.02742,
        2.0063,
        2.01204,
        1.98775,
        2.04456,
        2.00202,
        1.97544,
        1.98892,
        1.97962,
        2.01325,
        1.98261,
        1.9845,
        1.9877,
        2.03304,
        2.01345,
        1.97659,
        1.96071,
        1.98356,
        1.98077,
        1.98177,
        1.97923,
        1.98017,
        1.96555,
        1.99178,
        2.00417,
        2.00896,
        1.98748,
        1.99373,
        2.01069,
        2.0134,
        2.02759,
        2.02601,
        2.01427,
        2.01312,
        1.96422,
        1.96732,
        2.00369,
        1.9917,
        2.02828,
        1.99295,
        1.99683,
        2.01504,
        2.04355,
        2.02137,
        1.97974,
        2.00906,
        1.98374,
        1.96028,
        1.95334,
        1.9685,
        2.00349,
        2.00005,
        1.96372,
        1.98794,
        1.96007,
        1.96936,
        1.98835,
        1.95771,
        1.95124,
        1.9328,
        1.94297,
        1.9594,
        2.00973,
        1.94672,
        1.94523,
        1.91537,
        1.9081,
        1.90983,
        1.87932,
        1.86904,
        1.8746,
        1.86758,
        1.88904,
        1.86647,
        1.86548,
        1.8636,
        1.87826,
        1.86777,
        1.87066,
        1.81711,
        1.83702,
        1.79398,
        1.81006,
        1.81961,
        1.81538,
        1.80337,
        1.80195,
        1.81925,
        1.82485,
        1.81379,
        1.81135,
        1.78673,
        1.78621,
        1.79021,
        1.79564,
        1.7939,
        1.76167,
        1.76842,
        1.72994,
        1.69588,
        1.75599,
        1.72839,
        1.75052,
        1.74063,
        1.70884,
        1.69825,
        1.7274,
        1.73839,
        1.72862,
        1.6753,
        1.66453,
        1.6735,
        1.67071,
        1.6597,
        1.67444,
        1.70003,
        1.66576,
        1.65926,
        1.6413,
        1.64395,
        1.66848,
        1.6368,
        1.65506,
        1.617,
        1.63545,
        1.60818,
        1.62877,
        1.62611,
        1.66611,
        1.64044,
        1.57464,
        1.5865,
        1.61784,
        1.57937,
        1.5958,
        1.61456,
        1.62744,
        1.58689,
        1.59225,
        1.58258,
        1.58248,
        1.61007,
        1.59906,
        1.58239,
        1.55576,
        1.60584,
        1.58254,
        1.59775,
        1.56794,
        1.5645,
        1.57715,
        1.56688,
        1.5802,
        1.56992,
        1.5826,
        1.56059,
        1.53509,
        1.54173,
        1.55614,
        1.58655,
        1.62824,
        1.6029,
        1.61942,
        1.67352,
        1.66333,
        1.64989,
        1.68815,
        1.80199,
        1.909,
        1.9305,
        1.91459,
        1.72518,
        1.71484,
        1.68042,
        1.59507,
        1.69174,
        1.75706,
        1.64347,
        1.60231,
        1.64746,
        1.55742,
        1.56125,
        1.55649,
        1.54027,
        1.5666,
        1.5621,
        1.5957,
        1.55618,
        1.57519,
        1.53957,
        1.55362,
        1.54562,
        1.52303,
        1.50953,
        1.55027,
        1.56872,
        1.49372,
        1.51704,
        1.53405,
        1.47805,
        1.53074,
        1.59368,
        1.58539,
        1.57846,
        1.56671,
        1.54685,
        1.70663,
        1.80596,
        1.62306,
        1.67265,
        1.60186,
        1.54698,
        1.54831,
        1.60579,
        1.67971,
        1.6153,
        1.59866,
        1.61945,
        1.67626,
        1.70623,
        1.73293,
        1.66319,
        1.65318,
        1.63663,
        1.64675,
        1.58982,
        1.54605,
        1.37105,
        1.16295,
        0.919703,
        0.633415,
        0.435232,
        0.420254,
        0.625921,
        0.968713,
        1.34535,
        1.48455,
        1.42555,
        1.30792,
        1.29848,
        1.36765,
        1.5379,
        1.73248,
        1.76521,
        1.73513,
        1.77201,
        1.78145,
        1.7518,
        1.73632,
        1.70014,
        1.67758,
        1.65818,
        1.64515,
        1.65236,
        1.63425,
        1.64642,
        1.66216,
        1.68424,
        1.63745,
        1.61732,
        1.59882,
        1.58753,
        1.61907,
        1.60168,
        1.62681,
        1.59947,
        1.60362,
        1.61577,
        1.61479,
        1.59431,
        1.58819,
        1.57295,
        1.56806,
        1.56629,
        1.56015,
        1.55202,
        1.53558,
        1.54442,
        1.53928,
        1.53143,
        1.53191,
        1.52947,
        1.51157,
        1.52189,
        1.50007,
        1.50072,
        1.52399,
        1.50269,
        1.51188,
        1.51069,
        1.48657,
        1.47656,
        1.48259,
        1.47648,
        1.51338,
        1.50134,
        1.48661,
        1.48047,
        1.48747,
        1.47599,
        1.46778,
        1.47641,
        1.47369,
        1.49895,
        1.51336,
        1.50115,
        1.49856,
        1.52081,
        1.53218,
        1.49271,
        1.49547,
        1.50815,
        1.51364,
        1.51911,
        1.50945,
        1.48684,
        1.48216,
        1.49391,
        1.4879,
        1.50409,
        1.49005,
        1.47741,
        1.51692,
        1.54396,
        1.53788,
        1.55257,
        1.54157,
        1.54934,
        1.52873,
        1.52266,
        1.55017,
        1.58487,
        1.58591,
        1.57227,
        1.58873,
        1.5943,
        1.57813,
        1.61116,
        1.63107,
        1.66337,
        1.65236,
        1.65789,
        1.65587,
        1.65611,
        1.66882,
        1.67112,
        1.68653,
        1.71171,
        1.70868,
        1.72342,
        1.73023,
        1.72291,
        1.72613,
        1.73768,
        1.77685,
        1.7478,
        1.79595,
        1.74602,
        1.77915,
        1.76316,
        1.72541,
        1.74421,
        1.74567,
        1.75663,
        1.75065,
        1.79574,
        1.81696,
        1.75153,
        1.76377,
        1.77195,
        1.74627,
        1.7308,
        1.77673,
        1.77686,
        1.80597,
        1.75419,
        1.7495,
        1.79369,
        1.81356,
        1.79751,
        1.73054,
        1.72401,
        1.78604,
        1.86699,
        2.02423,
        2.07723,
        2.28275,
        2.49882,
        2.49821,
        2.21289,
        2.00777,
        1.9679,
        1.87186,
        1.9027,
        1.84691,
        1.74405,
        1.68677,
        1.73559,
        1.69326,
        1.68635,
        1.64169,
        1.64268,
        1.64807,
        1.61352,
        1.61474,
        1.61399,
        1.64638,
        1.61528,
        1.55526,
        1.57005,
        1.60358,
        1.54032,
        1.57346,
        1.57108,
        1.55192,
        1.53341,
        1.52484,
        1.51416,
        1.52237,
        1.51133,
        1.5396,
        1.53128,
        1.529,
        1.51975,
        1.51974,
        1.53429,
        1.54617,
        1.53067,
        1.47942,
        1.52045,
        1.52071,
        1.48372,
        1.50222,
        1.50655,
        1.50612,
        1.5372,
        1.47898,
        1.4408,
        1.48979,
        1.50942,
        1.50165,
        1.50597,
        1.48461,
        1.49251,
        1.45445,
        1.49222,
        1.51114,
        1.47197,
        1.44055,
        1.44716,
        1.46334,
        1.49141,
        1.50522,
        1.50722,
        1.51629,
        1.5423,
        1.51764,
        1.48726,
        1.50306,
        1.48087,
        1.5151,
        1.50497,
        1.50529,
        1.50484,
        1.59614,
        1.55287,
        1.53802,
        1.51381,
        1.49944,
        1.49676,
        1.53272,
        1.53253,
        1.55718,
        1.51119,
        1.51632,
        1.52094,
        1.47647,
        1.4836,
        1.48282,
        1.47791,
        1.47118,
        1.46181,
        1.49719,
        1.52248,
        1.48745,
        1.46195,
        1.52334,
        1.4737,
        1.48055,
        1.49372,
        1.48359,
        1.47745,
        1.48153,
        1.4852,
        1.49948,
        1.4809,
        1.46956,
        1.50627,
        1.48539,
        1.48329,
        1.50012,
        1.45613,
        1.49852,
        1.49329,
        1.48719,
        1.49677,
        1.49459,
        1.47036,
        1.46082,
        1.47233,
        1.48252,
        1.48797,
        1.49995,
        1.44647,
        1.49103,
        1.46075,
        1.46281,
        1.48935,
        1.49377,
        1.48792,
        1.53129,
        1.50514,
        1.53715,
        1.52236,
        1.50776,
        1.49381,
        1.52128,
        1.51425,
        1.48695,
        1.47289,
        1.4993,
        1.47544,
        1.49036,
        1.47919,
        1.48735,
        1.51684,
        1.49622,
        1.4733,
        1.47125,
        1.4838,
        1.46762,
        1.45862,
        1.51579,
        1.51718,
        1.46957,
        1.46668,
        1.48746,
        1.4853,
        1.48392,
        1.47165,
        1.46331,
        1.47093,
        1.49735,
        1.47307,
        1.434,
        1.46074,
        1.44857,
        1.47068,
        1.48281,
        1.50333,
        1.49841,
        1.50336,
        1.50353,
        1.48553,
        1.51093,
        1.52289,
        1.5162,
        1.51599,
        1.53023,
        1.48676,
        1.5359,
        1.50563,
        1.4789,
        1.48087,
        1.4718,
        1.46437,
        1.48916,
        1.49742,
        1.51698,
        1.54245,
        1.5113,
        1.49202,
        1.5127,
        1.49855,
        1.52402,
        1.52934,
        1.51104,
        1.52148,
        1.54663,
        1.52125,
        1.52629,
        1.53257,
        1.53182,
        1.53039,
        1.51588,
        1.48969,
        1.48268,
        1.46189,
        1.4899,
        1.47925,
        1.48055,
        1.49193,
        1.49608,
        1.45601,
        1.47893,
        1.48761,
        1.49226,
        1.50032,
        1.45903,
        1.44771,
        1.47636,
        1.48336,
        1.48832,
        1.50984,
        1.49761,
        1.51368,
        1.46021,
        1.43984,
        1.47288,
        1.47623,
        1.45274,
        1.43363,
        1.45285,
        1.42087,
        1.46496,
        1.45306,
        1.46844,
        1.45753,
        1.43846,
        1.42673,
        1.40976,
        1.40932,
        1.43206,
        1.44765,
        1.50273,
        1.42545,
        1.4161,
        1.45244,
        1.43878,
        1.44995,
        1.44666,
        1.43395,
        1.44155,
        1.44672,
        1.445,
        1.4792,
        1.45405,
        1.42605,
        1.44412,
        1.44208,
        1.46425,
        1.46665,
        1.48243,
        1.43815,
        1.45217,
        1.43989,
        1.44144,
        1.44468,
        1.48425,
        1.48841,
        1.46864,
        1.51125,
        1.47424,
        1.44712,
        1.47135,
        1.46663,
        1.46154,
        1.46308,
        1.45987,
        1.46826,
        1.46381,
        1.47666,
        1.49327,
        1.48538,
        1.51028,
        1.47417,
        1.46911,
        1.50284,
        1.49809,
        1.46956,
        1.49232,
        1.45636,
        1.48071,
        1.53364,
        1.51895,
        1.49793,
        1.53148,
        1.53616,
        1.51497,
        1.52808,
        1.54933,
        1.54233,
        1.54215,
        1.51945,
        1.51531,
        1.51019,
        1.54794,
        1.55743,
        1.5907,
        1.57629,
        1.60936,
        1.56465,
        1.54759,
        1.54429,
        1.57325,
        1.58958,
        1.62681,
        1.62699,
        1.59241,
        1.60535,
        1.61402,
        1.62395,
        1.6083,
        1.59787,
        1.58825,
        1.61811,
        1.60362,
        1.63668,
        1.57864,
        1.61544,
        1.6803,
        1.63731,
        1.66079,
        1.65659,
        1.68832,
        1.66336,
        1.65845,
        1.69982,
        1.68251,
        1.67433,
        1.68951,
        1.66111,
        1.63353,
        1.6462,
        1.68119,
        1.69402,
        1.68586,
        1.68589,
        1.7179,
        1.73725,
        1.70722,
        1.68913,
        1.68911,
        1.71823,
        1.65037,
        1.65693,
        1.70454,
        1.67419,
        1.71938,
        1.70181,
        1.76401,
        1.747,
        1.72055,
        1.73228,
        1.7492,
        1.76724,
        1.78052,
        1.74788,
        1.75078,
        1.69322,
        1.70979,
        1.78984,
        1.76922,
        1.77496,
        1.76034,
        1.69849,
        1.80998,
        1.73007,
        1.73037,
        1.6879,
        1.74244,
        1.70031,
        1.66117,
        1.63908,
        1.68697,
        1.67419,
        1.6783,
        1.69777,
        1.68905,
        1.66202,
        1.65738,
        1.60956,
        1.6335,
        1.65751,
        1.63845,
        1.65623,
        1.62434,
        1.60762,
        1.66552,
        1.65769,
        1.6258,
        1.64263,
        1.60355,
        1.62708,
        1.60017,
        1.62978,
        1.59552,
        1.59827,
        1.61517,
        1.60006,
        1.58402,
        1.61328,
        1.62977,
        1.6055,
        1.63432,
        1.61581,
        1.59473,
        1.59752,
        1.54959,
        1.57115,
        1.58329,
        1.5344,
        1.56455,
        1.60636,
        1.55527,
        1.52285,
        1.52939,
        1.46524,
        1.56077,
        1.52455,
        1.53592,
        1.54953,
        1.51455,
        1.51741,
        1.48408,
        1.52566,
        1.50853,
        1.49009,
        1.47822,
        1.48444,
        1.49227,
        1.50278,
        1.51555,
        1.4725,
        1.4735,
        1.47833,
        1.42548,
        1.45938,
        1.51033,
        1.50314,
        1.49215,
        1.4763,
        1.47889,
        1.50597,
        1.51266,
        1.5155,
        1.51477,
        1.48161,
        1.51889,
        1.49192,
        1.48778,
        1.50884,
        1.52428,
        1.49669,
        1.49956,
        1.50064,
        1.4894,
        1.51727,
        1.48745,
        1.4559,
        1.53857,
        1.48223,
        1.46382,
        1.48862,
        1.48179,
        1.4743,
        1.47039,
        1.4589,
        1.46901,
        1.49023,
        1.45522,
        1.4479,
        1.47526,
        1.4872,
        1.46156,
        1.45356,
        1.46179,
        1.42485,
        1.46669,
        1.46223,
        1.48038,
        1.48683,
        1.46374,
        1.44816,
        1.43834,
        1.47498,
        1.45311,
        1.45336,
        1.45994,
        1.47847,
        1.45531,
        1.49896,
        1.47918,
        1.45394,
        1.46838,
        1.4597,
        1.44286,
        1.46431,
        1.45016,
        1.42117,
        1.49782,
        1.42526,
        1.44346,
        1.47327,
        1.46388,
        1.46301,
        1.44509,
        1.45043,
        1.45613,
        1.46413,
        1.50038,
        1.4558,
        1.46325,
        1.49396,
        1.47408,
        1.47446,
        1.45391,
        1.46729,
        1.47904,
        1.48873,
        1.48409,
        1.50869,
        1.5104,
        1.51467,
        1.49399,
        1.48941,
        1.48712,
        1.5029,
        1.44757,
        1.46987,
        1.52376,
        1.49779,
        1.50503,
        1.49969,
        1.49024,
        1.50539,
        1.50613,
        1.54074,
        1.49716,
        1.49642,
        1.54745,
        1.5184,
        1.57092,
        1.51721,
        1.49844,
        1.54241,
        1.5581,
        1.53754,
        1.50508,
        1.49656,
        1.48716,
        1.5294,
        1.53515,
        1.52693,
        1.57517,
        1.52824,
        1.53594,
        1.52965,
        1.49527,
        1.57956,
        1.5376,
        1.56426,
        1.58676,
        1.52778,
        1.57853,
        1.59034,
        1.60914,
        1.57659,
        1.60417,
        1.62223,
        1.60026,
        1.59087,
        1.61033,
        1.61886,
        1.65756,
        1.6356,
        1.61432,
        1.57104,
        1.58552,
        1.58045,
        1.57685,
        1.57353,
        1.55309,
        1.5873,
        1.5869,
        1.60922,
        1.56564,
        1.61419,
        1.59534,
        1.52904,
        1.55746,
        1.59602,
        1.60715,
        1.59851,
        1.57325,
        1.55723,
        1.59658,
        1.58551,
        1.58241,
        1.57698,
        1.64464,
        1.58966,
        1.57008,
        1.55195,
        1.61576,
        1.5812,
        1.60134,
        1.58702,
        1.58832,
        1.54181,
        1.54891,
        1.53372,
        1.59906,
        1.61455,
        1.59053,
        1.57971,
        1.57913,
        1.59232,
        1.57504,
        1.63615,
        1.62765,
        1.58813,
        1.57804,
        1.63411,
        1.61889,
        1.60732,
        1.60004,
        1.62563,
        1.57301,
        1.63762,
        1.60897,
        1.6213,
        1.60853,
        1.65893,
        1.66514,
        1.66271,
        1.66109,
        1.63653,
        1.66846,
        1.67469,
        1.68096,
        1.63492,
        1.68825,
        1.7218,
        1.68266,
        1.69452,
        1.60699,
        1.66619,
        1.62269,
        1.60015,
        1.68397,
        1.66916,
        1.6594,
        1.64588,
        1.69916,
        1.6757,
        1.68077,
        1.72907,
        1.76956,
        1.76942,
        1.67285,
        1.75619,
        1.67006,
        1.66065,
        1.72351,
        1.72822,
        1.69655,
        1.68551,
        1.67044,
        1.64941,
        1.66226,
        1.69541,
        1.71588,
        1.6639,
        1.6957,
        1.73915,
        1.66593,
        1.6399,
        1.66932,
        1.72218,
        1.65547,
        1.65955,
        1.71474,
        1.69308,
        1.6753,
        1.67938,
        1.62866,
        1.65631,
        1.66117,
        1.63395,
        1.71102,
        1.71322,
        1.69159,
        1.77997,
        1.67377,
        1.62173,
        1.77953,
        1.98504,
        1.8797,
        2.13481,
        2.24152,
        2.38068,
        2.37874,
        2.38471,
        2.0912,
        2.08883,
        2.33388,
        1.82006,
        1.94448,
        1.98479,
        2.26159,
        2.09457,
        2.02667,
        1.83799,
        1.46489,
        1.48815,
        1.08632,
        1.0176,
        0.660589,
        0.563165,
        0.445738,
        0.639762,
        1.02835,
        1.51861,
        1.63599,
        1.63368,
        1.47313,
        1.41092,
        1.46003,
        1.56321,
        1.76616,
        1.8796,
        1.86181,
        1.8508,
        1.81874,
        1.80705,
        1.80713,
        1.76634,
        1.72664,
        1.75319,
        1.72062,
        1.75291,
        1.68507,
        1.74551,
        1.70726,
        1.71723,
        1.69626,
        1.70725,
        1.68866,
        1.70214,
        1.66752,
        1.68449,
        1.73085,
        1.74011,
        1.72414,
        1.67641,
        1.68154,
        1.6967,
        1.71456,
        1.74623,
        1.72334,
        1.72114,
        1.72334,
        1.72923,
        1.73715,
        1.73247,
        1.70885,
        1.68073,
        1.71502,
        1.73391,
        1.7103,
        1.69635,
        1.68464,
        1.7319,
        1.73117,
        1.70447,
        1.70157,
        1.67693,
        1.72379,
        1.68414,
        1.67359,
        1.65675,
        1.68584,
        1.69225,
        1.78625,
        1.66692,
        1.69157,
        1.6109,
        1.68773,
        1.62501,
        1.64203,
        1.67512,
        1.60337,
        1.60119,
        1.64888,
        1.71633,
        1.67194,
        1.66557,
        1.6357,
        1.69782,
        1.59377,
        1.58414,
        1.59404,
        1.62012,
        1.60799,
        1.63091,
        1.63383,
        1.59061,
        1.66246,
        1.67308,
        1.67641,
        1.64252,
        1.63589,
        1.52505,
        1.57577,
        1.63252,
        1.60065,
        1.60863,
        1.63386,
        1.5338,
        1.66744,
        1.53868,
        1.5884,
        1.59729,
        1.62196,
        1.54809,
        1.53579,
        1.58761,
        1.57869,
        1.4893,
        1.59332,
        1.57289,
        1.54843,
        1.5159,
        1.48453,
        1.51028,
        1.56657,
        1.57593,
        1.61156,
        1.4974,
        1.66235,
        1.56581,
        1.49577,
        1.65306,
        1.67713,
        1.68984,
        1.58551,
        1.8553,
        1.77807,
        1.60306,
        1.71226,
        1.64071,
        1.68037,
        1.70376,
        1.49868,
        1.4785,
        1.52344,
        1.5064,
        1.52144,
        1.53531,
        1.58903,
        1.49582,
        null,
        1.53132,
        1.52802,
        1.51859,
        1.52409,
        1.51492,
        1.51727,
        1.52561,
        1.50515,
        1.52099,
        1.51867,
        1.52409,
        1.52874,
        1.54252,
        1.54516,
        1.55597,
        1.583,
        1.56801,
        1.5452,
        1.53557,
        1.52717,
        1.59606,
        1.63239,
        1.64728,
        1.67145,
        1.65471,
        1.64842,
        1.86229,
        2.12258,
        2.29322,
        2.37556,
        2.34179,
        2.2305,
        2.0611,
        1.96433,
        1.90583,
        1.88988,
        1.8515,
        1.77771,
        1.81888,
        1.73216,
        1.66835,
        1.61242,
        1.6931,
        1.72603,
        1.67554,
        1.6875,
        1.64288,
        1.62297,
        1.6422,
        1.60573,
        1.57959,
        1.58491,
        1.57846,
        1.57595,
        1.612,
        1.57526,
        1.54862,
        1.59541,
        1.59457,
        1.55954,
        1.54149,
        1.61532,
        1.63635,
        1.60211,
        1.58777,
        1.59494,
        1.56164,
        1.53783,
        1.54734,
        1.54658,
        1.53995,
        1.54845,
        1.55331,
        1.5833,
        1.54166,
        1.512,
        1.5286,
        1.52723,
        1.49775,
        1.49147,
        1.49392,
        1.54949,
        1.6239,
        1.59573,
        1.56685,
        1.67432,
        1.81214,
        1.66826,
        1.64962,
        1.59373,
        1.5941,
        1.61344,
        1.60667,
        1.60762,
        1.61818,
        1.6783,
        1.61801,
        1.62387,
        1.57512,
        1.50399,
        1.46768,
        1.45782,
        1.32767,
        1.14098,
        0.863602,
        0.567381,
        0.423462,
        0.383331,
        0.529101,
        0.917831,
        1.34338,
        1.60189,
        1.61487,
        1.556,
        1.56977,
        1.63324,
        1.76257,
        1.84462,
        1.86154,
        1.87779,
        1.90822,
        1.87446,
        1.82471,
        1.81618,
        1.82685,
        1.82721,
        1.8111,
        1.77586,
        1.77387,
        1.75325,
        1.75019,
        1.73256,
        1.70891,
        1.73996,
        1.70842,
        1.71306,
        1.73031,
        1.72107,
        1.70102,
        1.66523,
        1.65692,
        1.66069,
        1.65944,
        1.676,
        1.66645,
        1.67049,
        1.62467,
        1.60426,
        1.60862,
        1.6121,
        1.61045,
        1.58591,
        1.61438,
        1.61879,
        1.60108,
        1.57617,
        1.5783,
        1.57948,
        1.57438,
        1.56152,
        1.57678,
        1.5414,
        1.53225,
        1.53224,
        1.53432,
        1.54813,
        1.52116,
        1.52237,
        1.54454,
        1.56361,
        1.52628,
        1.52938,
        1.52305,
        1.48841,
        1.49384,
        1.54363,
        1.54904,
        1.5378,
        1.51817,
        1.49849,
        1.48536,
        1.47565,
        1.49563,
        1.47851,
        1.45065,
        1.46393,
        1.46515,
        1.45865,
        1.42003,
        1.42855,
        1.44561,
        1.46623,
        1.46544,
        1.46169,
        1.45642,
        1.45623,
        1.48177,
        1.48145,
        1.43199,
        1.43208,
        1.47001,
        1.43773,
        1.43891,
        1.46509,
        1.47274,
        1.48997,
        1.49293,
        1.49919,
        1.46272,
        1.50104,
        1.49072,
        1.47139,
        1.49003,
        1.48943,
        1.50217,
        1.51016,
        1.52332,
        1.52173,
        1.50956,
        1.50643,
        1.51446,
        1.5261,
        1.50983,
        1.50507,
        1.50897,
        1.51842,
        1.51889,
        1.53752,
        1.57472,
        1.57502,
        1.55434,
        1.54043,
        1.52093,
        1.56094,
        1.53308,
        1.52385,
        1.55539,
        1.56142,
        1.52803,
        1.57603,
        1.58844,
        1.56921,
        1.59356,
        1.59427,
        1.61623,
        1.62539,
        1.61437,
        1.58769,
        1.59706,
        1.58547,
        1.5431,
        1.54501,
        1.55491,
        1.52077,
        1.49777,
        1.54782,
        1.53513,
        1.51996,
        1.53529,
        1.52594,
        1.51715,
        1.52608,
        1.51242,
        1.53742,
        1.53993,
        1.51271,
        1.49294,
        1.47773,
        1.48968,
        1.50945,
        1.48996,
        1.49604,
        1.46965,
        1.44783,
        1.46496,
        1.46772,
        1.47936,
        1.50204,
        1.48229,
        1.4816,
        1.47661,
        1.46627,
        1.47466,
        1.47869,
        1.44512,
        1.44342,
        1.428,
        1.44755,
        1.45868,
        1.43944,
        1.42419,
        1.4135,
        1.43614,
        1.44573,
        1.43082,
        1.44742,
        1.42929,
        1.41055,
        1.44156,
        1.46455,
        1.44096,
        1.42307,
        1.3979,
        1.4366,
        1.45988,
        1.44521,
        1.4579,
        1.45692,
        1.43578,
        1.44537,
        1.44672,
        1.45663,
        1.46332,
        1.45244,
        1.4278,
        1.4259,
        1.44657,
        1.39536,
        1.40724,
        1.44073,
        1.43211,
        1.43008,
        1.45788,
        1.43273,
        1.4174,
        1.43081,
        1.42196,
        1.42178,
        1.43603,
        1.43092,
        1.42469,
        1.45119,
        1.45314,
        1.47052,
        1.45856,
        1.43874,
        1.45765,
        1.46761,
        1.48173,
        1.46542,
        1.45592,
        1.44201,
        1.45172,
        1.43924,
        1.42514,
        1.4564,
        1.45956,
        1.44972,
        1.45812,
        1.4762,
        1.44292,
        1.44274,
        1.43936,
        1.44945,
        1.46009,
        1.46234,
        1.46043,
        1.45702,
        1.48274,
        1.43973,
        1.43839,
        1.45867,
        1.47981,
        1.46057,
        1.43471,
        1.494,
        1.47836,
        1.46205,
        1.5043,
        1.51289,
        1.53608,
        1.53554,
        1.48022,
        1.48302,
        1.49002,
        1.49957,
        1.51455,
        1.5213,
        1.55163,
        1.54048,
        1.52319,
        1.5313,
        1.52862,
        1.52135,
        1.53786,
        1.54373,
        1.54504,
        1.52956,
        1.53924,
        1.54709,
        1.54058,
        1.53257,
        1.52556,
        1.51859,
        1.52574,
        1.5334,
        1.53903,
        1.52832,
        1.54283,
        1.53112,
        1.51275,
        1.53993,
        1.51717,
        1.51236,
        1.50229,
        1.48187,
        1.52283,
        1.55766,
        1.54096,
        1.52348,
        1.51958,
        1.56405,
        1.52322,
        1.53862,
        1.5311,
        1.52802,
        1.53623,
        1.53692,
        1.51408,
        1.5138,
        1.49556,
        1.51189,
        1.51007,
        1.51717,
        1.53167,
        1.5129,
        1.49355,
        1.52347,
        1.51927,
        1.51793,
        1.50685,
        1.49345,
        1.51067,
        1.49164,
        1.50938,
        1.5091,
        1.48827,
        1.43908,
        1.46367,
        1.4644,
        1.49508,
        1.44458,
        1.4672,
        1.45529,
        1.47915,
        1.45457,
        1.41111,
        1.45486,
        1.45109,
        1.43733,
        1.45372,
        1.42893,
        1.45283,
        1.467,
        1.46438,
        1.44435,
        1.46894,
        1.48226,
        1.43074,
        1.46822,
        1.474,
        1.47825,
        1.47129,
        1.44736,
        1.45966,
        1.46653,
        1.45683,
        1.47193,
        1.45542,
        1.45708,
        1.48046,
        1.47722,
        1.50151,
        1.43248,
        1.46767,
        1.49959,
        1.45617,
        1.43857,
        1.46505,
        1.4821,
        1.45291,
        1.45506,
        1.4763,
        1.47196,
        1.45731,
        1.47841,
        1.48023,
        1.48471,
        1.46519,
        1.50206,
        1.49948,
        1.52771,
        1.49903,
        1.51991,
        1.49176,
        1.52603,
        1.44008,
        1.40952,
        1.42523,
        1.51111,
        1.48378,
        1.47674,
        1.56142,
        1.64344,
        1.78709,
        1.65255,
        1.65521,
        1.51465,
        1.58705,
        1.68658,
        1.67446,
        1.73148,
        1.7438,
        1.72537,
        1.70945,
        1.69337,
        1.65062,
        1.57577,
        1.4922,
        1.47764,
        1.3997,
        1.18876,
        0.98011,
        0.736357,
        0.525406,
        0.370625,
        0.342418,
        0.539177,
        0.861459,
        1.31813,
        1.6931,
        1.8363,
        1.73962,
        1.69655,
        1.69295,
        1.81062,
        1.94608,
        1.93509,
        1.8977,
        1.87936,
        1.82493,
        1.7852,
        1.76395,
        1.76319,
        1.7405,
        1.71585,
        1.74113,
        1.72269,
        1.71601,
        1.68721,
        1.66998,
        1.6789,
        1.68397,
        1.66522,
        1.6745,
        1.65,
        1.63621,
        1.65578,
        1.6623,
        1.6544,
        1.64204,
        1.66907,
        1.61694,
        1.62141,
        1.64077,
        1.61076,
        1.59867,
        1.57896,
        1.573,
        1.5936,
        1.59137,
        1.57697,
        1.557,
        1.54791,
        1.55984,
        1.5961,
        1.58813,
        1.5267,
        1.54568,
        1.54122,
        1.54864,
        1.53295,
        1.54511,
        1.56951,
        1.55553,
        1.52639,
        1.54791,
        1.54142,
        1.51661,
        1.51366,
        1.53885,
        1.54794,
        1.50883,
        1.49782,
        1.52385,
        1.50066,
        1.54132,
        1.5509,
        1.52022,
        1.54766,
        1.53704,
        1.55184,
        1.57326,
        1.54082,
        1.55691,
        1.55048,
        1.53866,
        1.53922,
        1.52073,
        1.49527,
        1.49899,
        1.49904,
        1.49461,
        1.47502,
        1.47765,
        1.48307,
        1.46554,
        1.47076,
        1.45167,
        1.49228,
        1.47436,
        1.45662,
        1.4922,
        1.50344,
        1.48574,
        1.4866,
        1.50011,
        1.47121,
        1.46091,
        1.44809,
        1.45209,
        1.47147,
        1.45164,
        1.43821,
        1.43834,
        1.46893,
        1.45299,
        1.47127,
        1.45225,
        1.49947,
        1.47311,
        1.45429,
        1.4769,
        1.47706,
        1.45682,
        1.45412,
        1.43133,
        1.42934,
        1.43974,
        1.4443,
        1.43298,
        1.43301,
        1.43131,
        1.45928,
        1.44949,
        1.44237,
        1.45221,
        1.47437,
        1.44239,
        1.4234,
        1.42813,
        1.3814,
        1.42615,
        1.47385,
        1.46298,
        1.47804,
        1.45147,
        1.46603,
        1.48891,
        1.47023,
        1.45303,
        1.4546,
        1.47951,
        1.5013,
        1.49864,
        1.46811,
        1.47396,
        1.50628,
        1.49794,
        1.49084,
        1.50016,
        1.48037,
        1.48965,
        1.47117,
        1.47281,
        1.51019,
        1.54356,
        1.49676,
        1.50151,
        1.49552,
        1.50795,
        1.50402,
        1.50605,
        1.49963,
        1.48756,
        1.47843,
        1.46354,
        1.46131,
        1.48495,
        1.45859,
        1.46969,
        1.4722,
        1.44888,
        1.44157,
        1.48156,
        1.44968,
        1.46522,
        1.43993,
        1.45049,
        1.47391,
        1.50053,
        1.48855,
        1.43257,
        1.45384,
        1.44643,
        1.47637,
        1.43149,
        1.47432,
        1.48099,
        1.55237,
        1.39442,
        1.50211,
        1.40831,
        1.48807,
        1.555,
        1.52676,
        1.57025,
        1.5374,
        1.4931,
        1.53756,
        1.45433,
        1.4402,
        1.52737,
        1.54175,
        1.50527,
        1.5499,
        1.54938,
        1.42433,
        1.52285,
        1.60159,
        1.52187,
        1.50045,
        1.5347,
        1.57564,
        1.5748,
        1.51816,
        1.51927,
        1.56527,
        1.56831,
        1.57043,
        1.66228,
        1.62567,
        1.59724,
        1.55836,
        1.52897,
        1.5505,
        1.67223,
        1.56486,
        1.52502,
        1.55892,
        1.55235,
        1.55393,
        1.52005,
        1.60119,
        1.52357,
        1.52383,
        1.57208,
        1.60458,
        1.53315,
        1.52156,
        1.55035,
        1.54648,
        1.57062,
        1.59809,
        1.593,
        1.53923,
        1.58014,
        1.58678,
        1.56139,
        1.53277,
        1.52696,
        1.59928,
        1.57902,
        1.51516,
        1.55195,
        1.58952,
        1.53767,
        1.51172,
        1.53694,
        1.54694,
        1.539,
        1.49012,
        1.48164,
        1.51231,
        1.47941,
        1.45945,
        1.51124,
        1.50826,
        1.50348,
        1.53552,
        1.50903,
        1.49928,
        1.49432,
        1.45484,
        1.44022,
        1.46802,
        1.49444,
        1.47329,
        1.49341,
        1.48601,
        1.42609,
        1.4736,
        1.47418,
        1.48097,
        1.47996,
        1.47976,
        1.46784,
        1.41465,
        1.43992,
        1.44725,
        1.45326,
        1.4238,
        1.41929,
        1.43802,
        1.43487,
        1.44312,
        1.48377,
        1.45671,
        1.4545,
        1.46081,
        1.44883,
        1.44479,
        1.45488,
        1.46044,
        1.444,
        1.39235,
        1.43205,
        1.47106,
        1.451,
        1.44526,
        1.39207,
        1.45077,
        1.4078,
        1.40907,
        1.39688,
        1.43964,
        1.40298,
        1.36623,
        1.40447,
        1.42516,
        1.43805,
        1.44817,
        1.45283,
        1.46926,
        1.46232,
        1.44229,
        1.42896,
        1.45436,
        1.4829,
        1.41272,
        1.43422,
        1.4456,
        1.49096,
        1.49381,
        1.47817,
        1.45329,
        1.41355,
        1.41604,
        1.43561,
        1.43914,
        1.47375,
        1.47226,
        1.43174,
        1.46119,
        1.46293,
        1.43211,
        1.50927,
        1.48511,
        1.46703,
        1.49332,
        1.48229,
        1.48291,
        1.5009,
        1.51687,
        1.4866,
        1.48885,
        1.50686,
        1.52096,
        1.52957,
        1.50551,
        1.50293,
        1.51781,
        1.50005,
        1.51401,
        1.57216,
        1.53592,
        1.48636,
        1.51058,
        1.49135,
        1.51368,
        1.52361,
        1.55171,
        1.56857,
        1.56278,
        1.55406,
        1.59761,
        1.60186,
        1.60516,
        1.54782,
        1.54662,
        1.59574,
        1.57536,
        1.53866,
        1.56558,
        1.57333,
        1.61992,
        1.60526,
        1.60424,
        1.5536,
        1.59525,
        1.60973,
        1.5945,
        1.5803,
        1.66964,
        1.63602,
        1.64594,
        1.64883,
        1.60418,
        1.60427,
        1.61422,
        1.59434,
        1.55801,
        1.6008,
        1.56526,
        1.59007,
        1.55922,
        1.52748,
        1.46318,
        1.50956,
        1.42515,
        1.47725,
        1.56922,
        1.6766,
        1.75069,
        1.95035,
        1.68451,
        1.74232,
        1.71041,
        1.73252,
        1.78632,
        1.65808,
        1.71698,
        1.7514,
        1.69685,
        1.66077,
        1.63108,
        1.52573,
        1.478,
        1.37288,
        1.27104,
        1.17925,
        0.992273,
        0.747211,
        0.557554,
        0.364336,
        0.305654,
        0.394547,
        0.640276,
        1.11316,
        1.6038,
        1.9978,
        2.1079,
        2.145,
        2.12809,
        2.09803,
        2.05039,
        2.03701,
        1.95392,
        1.9028,
        1.8231,
        1.79603,
        1.7556,
        1.74887,
        1.71018,
        1.72895,
        1.67958,
        1.66055,
        1.62337,
        1.62396,
        1.6178,
        1.60326,
        1.58727,
        1.5641,
        1.58088,
        1.57599,
        1.58607,
        1.56652,
        1.53656,
        1.54621,
        1.5982,
        1.57793,
        1.56516,
        1.55845,
        1.56906,
        1.53672,
        1.52663,
        1.54436,
        1.55558,
        1.57298,
        1.55431,
        1.52836,
        1.5166,
        1.5257,
        1.50942,
        1.53359,
        1.50728,
        1.51409,
        1.43499,
        1.50904,
        1.60186,
        1.54956,
        1.40975,
        1.44847,
        1.52306,
        1.48214,
        1.43671,
        1.44153,
        1.44202,
        1.40177,
        1.459,
        1.48216,
        1.47794,
        1.43739,
        1.43286,
        1.42793,
        1.42505,
        1.45523,
        1.47368,
        1.44617,
        1.43742,
        1.43888,
        1.43508,
        1.44466,
        1.41262,
        1.41581,
        1.39141,
        1.42239,
        1.43952,
        1.46553,
        1.44393,
        1.43949,
        1.45402,
        1.45653,
        1.41917,
        1.46132,
        1.4721,
        1.47188,
        1.42355,
        1.46447,
        1.46614,
        1.41335,
        1.41544,
        1.43737,
        1.46273,
        1.45584,
        1.4676,
        1.47364,
        1.48111,
        1.43242,
        1.46706,
        1.46376,
        1.46591,
        1.51254,
        1.46651,
        1.45653,
        1.45232,
        1.42737,
        1.43859,
        1.43796,
        1.42733,
        1.40823,
        1.43472,
        1.43917,
        1.47496,
        1.48597,
        1.45804,
        1.44393,
        1.469,
        1.46426,
        1.45713,
        1.46456,
        1.45163,
        1.40275,
        1.43838,
        1.43717,
        1.41995,
        1.45489,
        1.41783,
        1.46485,
        1.46467,
        1.48577,
        1.46275,
        1.45443,
        1.44984,
        1.43309,
        1.47026,
        1.4557,
        1.45533,
        1.46017,
        1.46778,
        1.45286,
        1.46766,
        1.46231,
        1.50858,
        1.50364,
        1.50051,
        1.50659,
        1.49336,
        1.44341,
        1.48321,
        1.47959,
        1.51504,
        1.51073,
        1.50901,
        1.52051,
        1.55437,
        1.51352,
        1.49678,
        1.51819,
        1.5576,
        1.64388,
        1.60299,
        1.55335,
        1.51646,
        1.50568,
        1.51298,
        1.52696,
        1.51495,
        1.55871,
        1.58688,
        1.53016,
        1.53328,
        1.53993,
        1.54428,
        1.56107,
        1.57028,
        1.57535,
        1.57098,
        1.55891,
        1.48775,
        1.55628,
        1.55694,
        1.4857,
        1.49845,
        1.53212,
        1.54895,
        1.52848,
        1.53507,
        1.52905,
        1.5405,
        1.51537,
        1.55427,
        1.53546,
        1.54048,
        1.5233,
        1.54448,
        1.52692,
        1.54003,
        1.50478,
        1.523,
        1.52582,
        1.5442,
        1.56109,
        1.5491,
        1.52626,
        1.52612,
        1.49271,
        1.5118,
        1.48791,
        1.54423,
        1.49572,
        1.43605,
        1.47955,
        1.47935,
        1.45604,
        1.46544,
        1.47015,
        1.47719,
        1.48787,
        1.46801,
        1.43882,
        1.45401,
        1.48603,
        1.47825,
        1.49544,
        1.48363,
        1.45697,
        1.47771,
        1.46112,
        1.51119,
        1.50615,
        1.45648,
        1.38587,
        1.37501,
        1.42388,
        1.44898,
        1.40745,
        1.43127,
        1.47522,
        1.41997,
        1.43518,
        1.43698,
        1.4634,
        1.47108,
        1.45345,
        1.44961,
        1.47516,
        1.47397,
        1.4914,
        1.44759,
        1.465,
        1.47316,
        1.5012,
        1.49333,
        1.48655,
        1.45895,
        1.46424,
        1.41944,
        1.46964,
        1.46084,
        1.46433,
        1.45678,
        1.45994,
        1.5345,
        1.52387,
        1.49343,
        1.52395,
        1.535,
        1.51663,
        1.48525,
        1.50681,
        1.49781,
        1.47744,
        1.49462,
        1.52485,
        1.57625,
        1.59304,
        1.56528,
        1.5045,
        1.52581,
        1.53773,
        1.52716,
        1.48997,
        1.51334,
        1.55908,
        1.59364,
        1.56536,
        1.62295,
        1.59995,
        1.67044,
        1.6869,
        1.8116,
        1.6987,
        1.58865,
        1.85926,
        1.87732,
        1.93452,
        1.84136,
        1.83541,
        1.79196,
        1.69218,
        1.63501,
        1.62473,
        1.5807,
        1.61938,
        1.63511,
        1.61032,
        1.58679,
        1.58067,
        1.49846,
        1.54142,
        1.52899,
        1.55626,
        1.49687,
        1.49924,
        1.48143,
        1.50604,
        1.44146,
        1.45634,
        1.50956,
        1.44785,
        1.46974,
        1.46139,
        1.44875,
        1.45299,
        1.47912,
        1.4946,
        1.50595,
        1.54068,
        1.51484,
        1.48807,
        1.52003,
        1.49212,
        1.4533,
        1.43143,
        1.43841,
        1.47567,
        1.47481,
        1.42796,
        1.41647,
        1.45933,
        1.46241,
        1.46239,
        1.4842,
        1.46108,
        1.44909,
        1.49974,
        1.44805,
        1.46325,
        1.50591,
        1.50072,
        1.49295,
        1.51463,
        1.48415,
        1.485,
        1.52439,
        1.5156,
        1.5211,
        1.52737,
        1.53392,
        1.57346,
        1.54779,
        1.49441,
        1.61695,
        1.64022,
        1.61956,
        1.67759,
        1.70519,
        1.77023,
        1.58658,
        1.50628,
        1.63595,
        1.6447,
        1.62747,
        1.59259,
        1.57693,
        1.59534,
        1.69184,
        1.75557,
        1.58445,
        1.67491,
        1.5974,
        1.59716,
        1.58384,
        1.66025,
        1.58457,
        1.6026,
        1.62156,
        1.5557,
        1.61024,
        1.47404,
        1.50078,
        1.55793,
        1.55518,
        1.60106,
        1.64311,
        1.70172,
        1.66484,
        1.66239,
        1.68483,
        1.69949,
        1.65698,
        1.63157,
        1.61607,
        1.60494,
        1.62695,
        1.61211,
        1.64438,
        1.6468,
        1.6178,
        1.61354,
        1.60055,
        1.59783,
        1.56206,
        1.58301,
        1.60425,
        1.62668,
        1.56741,
        1.59479,
        1.49675,
        1.5215,
        1.55888,
        1.5479,
        1.56648,
        1.48722,
        1.50314,
        1.44749,
        1.45278,
        1.40094,
        1.39687,
        1.46693,
        1.68783,
        1.62316,
        1.52899,
        1.76623,
        1.89796,
        1.83119,
        1.76523,
        1.82479,
        1.79034,
        1.77019,
        1.73073,
        1.65791,
        1.54167,
        1.41766,
        1.3881,
        1.34173,
        1.17506,
        0.949026,
        0.734944,
        0.550755,
        0.391356,
        0.310205,
        0.357985,
        0.680023,
        1.15006,
        1.70336,
        2.06358,
        2.18412,
        2.2331,
        2.22117,
        2.19029,
        2.17737,
        2.1145,
        2.02651,
        1.95717,
        1.94024,
        1.88544,
        1.84326,
        1.81753,
        1.84688,
        1.81039,
        1.78339,
        1.82285,
        1.64468,
        1.65855,
        1.66299,
        1.65208,
        1.62702,
        1.60545,
        1.67442,
        1.64621,
        1.61217,
        1.64861,
        1.61797,
        1.62081,
        1.65672,
        1.59635,
        1.57722,
        1.62687,
        1.60505,
        1.64277,
        1.57824,
        1.62207,
        1.56546,
        1.5432,
        1.57976,
        1.5628,
        1.55111,
        1.57022,
        1.54614,
        1.59737,
        1.64368,
        1.64253,
        1.49246,
        1.45642,
        1.45709,
        1.51389,
        1.57886,
        1.50609,
        1.53421,
        1.51803,
        1.57075,
        1.47467,
        1.47978,
        1.46121,
        1.46474,
        1.55649,
        1.54491,
        1.4906,
        1.46073,
        1.47806,
        1.55681,
        1.49494,
        1.47049,
        1.49097,
        1.46783,
        1.52223,
        1.55023,
        1.55398,
        1.52247,
        1.50676,
        1.51092,
        1.49241,
        1.47852,
        1.54361,
        1.53983,
        1.53458,
        1.56679,
        1.56799,
        1.55214,
        1.55824,
        1.52574,
        1.57959,
        1.55982,
        1.51658,
        1.55859,
        1.56002,
        1.58113,
        1.58142,
        1.56348,
        1.57852,
        1.54858,
        1.5159,
        1.50668,
        1.57139,
        1.51522,
        1.51541,
        1.54681,
        1.58672,
        1.54991,
        1.64622,
        1.52661,
        1.58247,
        1.57997,
        1.61519,
        1.57425,
        1.58273,
        1.65122,
        1.60964,
        1.58485,
        1.61952,
        1.59557,
        1.57857,
        1.58425,
        1.55157,
        1.53701,
        1.56102,
        1.68318,
        1.6991,
        1.67144,
        1.56824,
        1.57193,
        1.57927,
        1.60098,
        1.62086,
        1.55459,
        1.56709,
        1.56871,
        1.55812,
        1.56592,
        1.61282,
        1.59065,
        1.5278,
        1.48545,
        1.57516,
        1.59909,
        1.61156,
        1.55698,
        1.53901,
        1.51934,
        1.52912,
        1.53168,
        1.48602,
        1.53636,
        1.55095,
        1.53571,
        1.51375,
        1.57012,
        1.54033,
        1.49515,
        1.49713,
        1.4625,
        1.50364,
        1.56831,
        1.53433,
        1.46246,
        1.49601,
        1.50266,
        1.55899,
        1.54108,
        1.52732,
        1.51876,
        1.48879,
        1.50401,
        1.49859,
        1.52783,
        1.54644,
        1.48542,
        1.51004,
        1.52981,
        1.49428,
        1.50748,
        1.56124,
        1.55281,
        1.5513,
        1.49154,
        1.51368,
        1.61424,
        1.58613,
        1.56015,
        1.52155,
        1.53711,
        1.47554,
        1.46664,
        1.50653,
        1.61037,
        1.48765,
        1.52706,
        1.51715,
        1.54367,
        1.46639,
        1.5012,
        1.47585,
        1.50847,
        1.54593,
        1.53704,
        1.48114,
        1.52372,
        1.49418,
        1.48019,
        1.50135,
        1.55211,
        1.56498,
        1.50113,
        1.52108,
        1.62662,
        1.46631,
        1.46781,
        1.47066,
        1.49845,
        1.56756,
        1.5212,
        1.50314,
        1.47505,
        1.51137,
        1.4936,
        1.53054,
        1.51168,
        1.49983,
        1.46904,
        1.4513,
        1.51382,
        1.57424,
        1.5701,
        1.48023,
        1.41983,
        1.59307,
        1.47677,
        1.51342,
        1.51959,
        1.48217,
        1.48812,
        1.50167,
        1.47374,
        1.47341,
        1.49713,
        1.47452,
        1.47371,
        1.45391,
        1.51291,
        1.43111,
        1.44262,
        1.494,
        1.50651,
        1.52765,
        1.51347,
        1.46724,
        1.47781,
        1.49962,
        1.4685,
        1.46301,
        1.57566,
        1.52673,
        1.44515,
        1.53011,
        1.60961,
        1.55656,
        1.64736,
        1.64922,
        1.62958,
        1.80938,
        1.68118,
        1.41543,
        1.60875,
        1.48773,
        1.65342,
        1.57791,
        1.59399,
        1.56864,
        1.51835,
        1.52542,
        1.54366,
        1.52556,
        1.46359,
        1.53137,
        1.63618,
        1.53347,
        1.41436,
        1.45177,
        1.44304,
        1.45297,
        1.5438,
        1.50087,
        1.43041,
        1.42353,
        1.49771,
        1.46786,
        1.44051,
        1.45341,
        1.44245,
        1.49533,
        1.40599,
        1.41199,
        1.45204,
        1.45915,
        1.4624,
        1.47665,
        1.46843,
        1.41724,
        1.44452,
        1.41108,
        1.50672,
        1.52358,
        1.40894,
        1.41985,
        1.44577,
        1.42402,
        1.43199,
        1.42059,
        1.44418,
        1.48887,
        1.43913,
        1.49107,
        1.42558,
        1.39344,
        1.43268,
        1.44126,
        1.43241,
        1.42398,
        1.43792,
        1.47767,
        1.41586,
        1.47311,
        1.50896,
        1.54897,
        1.47652,
        1.47263,
        1.46077,
        1.43818,
        1.43605,
        1.42603,
        1.40134,
        1.44937,
        1.48331,
        1.44226,
        1.42234,
        1.45238,
        1.48296,
        1.53597,
        1.63232,
        1.70269,
        1.65105,
        1.61213,
        1.52548,
        1.5217,
        1.51531,
        1.60532,
        1.56618,
        1.49905,
        1.53715,
        1.59989,
        1.53979,
        1.48556,
        1.49671,
        1.52879,
        1.52617,
        1.55386,
        1.56016,
        1.55802,
        1.53758,
        1.56207,
        1.54211,
        1.57086,
        1.46563,
        1.51984,
        1.47655,
        1.49464,
        1.521,
        1.54696,
        1.5405,
        1.56919,
        1.53027,
        1.51477,
        1.48254,
        1.54019,
        1.55391,
        1.5955,
        1.57603,
        1.56994,
        1.4589,
        1.45056,
        1.52891,
        1.51931,
        1.46514,
        1.52195,
        1.48484,
        1.50773,
        1.52462,
        1.46214,
        1.47441,
        1.55622,
        1.47936,
        1.46569,
        1.47627,
        1.54373,
        1.51829,
        1.447,
        1.49785,
        1.59153,
        1.55654,
        1.54829,
        1.51884,
        1.44536,
        1.52007,
        1.56127,
        1.57727,
        1.46237,
        1.47251,
        1.45021,
        1.52763,
        1.44091,
        1.40384,
        1.50106,
        1.46705,
        1.49463,
        1.4528,
        1.54558,
        1.5874,
        1.44699,
        1.39324,
        1.46348,
        1.44316,
        1.48867,
        1.48069,
        1.4871,
        1.5411,
        1.44733,
        1.51465,
        1.59446,
        1.49056,
        1.46545,
        1.45435,
        1.48406,
        1.41862,
        1.43859,
        1.45801,
        1.4498,
        1.44822,
        1.44094,
        1.49571,
        1.55667,
        1.40321,
        1.43675,
        1.39717,
        1.54964,
        1.31585,
        1.29838,
        1.32137,
        1.38916,
        1.45181,
        1.35815,
        1.63259,
        1.5416,
        1.63765,
        1.68346,
        1.62169,
        1.62032,
        1.50108,
        1.62681,
        1.66891,
        1.64695,
        1.70605,
        1.51474,
        1.52942,
        1.39425,
        1.40932,
        1.33782,
        1.20412,
        1.01823,
        0.949914,
        0.764122,
        0.487874,
        0.624067,
        1.14653,
        1.72507,
        2.03734,
        2.22654,
        2.27828,
        2.27866,
        2.1944,
        2.21827,
        2.15333,
        2.12128,
        2.052,
        2.04838,
        1.91401,
        1.9598,
        1.87164,
        1.93524,
        1.8244,
        1.8818,
        1.84994,
        1.91098,
        1.98763,
        2.06871,
        2.08159,
        1.91165,
        1.85508,
        1.73547,
        1.71204,
        1.77301,
        1.69388,
        1.78565,
        1.7158,
        1.73188,
        1.76708,
        1.7152,
        1.68111,
        1.74472,
        1.72481,
        1.74772,
        1.68971,
        1.74719,
        1.67899,
        1.66596,
        1.74352,
        1.68209,
        1.70627,
        1.69883,
        1.68924,
        1.6983,
        1.66279,
        1.72705,
        1.68548,
        1.74965,
        1.72538,
        1.79496,
        1.73221,
        1.48676,
        1.47481,
        1.73852,
        1.60559,
        1.4987,
        1.46048,
        1.49975,
        1.58469,
        1.61107,
        1.63161,
        1.66448,
        1.69376,
        1.70671,
        1.66677,
        1.76569,
        1.76177,
        1.62187,
        1.62215,
        null,
        1.45325,
        1.48917,
        1.49935,
        1.46668,
        1.4526,
        1.4981,
        1.53322,
        1.46796,
        1.46375,
        1.4719,
        1.46016,
        1.47863,
        1.47425,
        1.47922,
        1.49858,
        1.50749,
        1.50067,
        1.47613,
        1.4839,
        1.5039,
        1.4648,
        1.44731,
        1.47807,
        1.46283,
        1.46896,
        1.46344,
        1.47032,
        1.44884,
        1.45282,
        1.4647,
        1.47195,
        1.50099,
        1.49994,
        1.49178,
        1.49881,
        1.4904,
        1.49091,
        1.48315,
        1.44786,
        1.42468,
        1.41256,
        1.44196,
        1.42594,
        1.44577,
        1.452,
        1.44308,
        1.46866,
        1.46192,
        1.45903,
        1.43693,
        1.43353,
        1.44914,
        1.46476,
        1.44189,
        1.41862,
        1.48342,
        1.45598,
        1.47086,
        1.47986,
        1.49239,
        1.45354,
        1.42147,
        1.42551,
        1.45162,
        1.44833,
        1.45447,
        1.42175,
        1.51745,
        1.5133,
        1.48412,
        1.49253,
        1.45868,
        1.45833,
        1.43678,
        1.46647,
        1.47872,
        1.5186,
        1.49225,
        1.42104,
        1.51924,
        1.51232,
        1.45616,
        1.46019,
        1.47394,
        1.41604,
        1.42463,
        1.48637,
        1.52971,
        1.46554,
        1.4316,
        1.40408,
        1.44351,
        1.49614,
        1.52311,
        1.55262,
        1.55968,
        1.62274,
        1.54065,
        1.49509,
        1.4812,
        1.49746,
        1.51849,
        1.52043,
        1.49832,
        1.48239,
        1.48882,
        1.49741,
        1.50634,
        1.52625,
        1.46451,
        1.44793,
        1.47386,
        1.4746,
        1.48533,
        1.47183,
        1.47059,
        1.49252,
        1.46279,
        1.45481,
        1.48887,
        1.49524,
        1.51226,
        1.52723,
        1.53751,
        1.52568,
        1.48049,
        1.51515,
        1.58299,
        1.52435,
        1.46935,
        1.49537,
        1.53192,
        1.52326,
        1.50763,
        1.55435,
        1.6297,
        1.56355,
        1.56315,
        1.54264,
        1.60445,
        1.61003,
        1.55068,
        1.52837,
        1.59514,
        1.59679,
        1.54517,
        1.56463,
        1.53865,
        1.52623,
        1.54664,
        1.51613,
        1.43141,
        1.41864,
        1.38599,
        1.39211,
        1.50567,
        1.5652,
        1.68561,
        1.67836,
        1.57466,
        1.59291,
        1.66847,
        1.82519,
        1.9153,
        1.80072,
        1.75856,
        1.65928,
        1.49249,
        1.36917,
        1.29529,
        1.24198,
        1.10433,
        0.934799,
        0.720143,
        0.525897,
        0.422025,
        0.550168,
        0.884748,
        1.35829,
        1.85726,
        2.18643,
        2.36552,
        2.37232,
        2.37137,
        2.3389,
        2.2953,
        2.25331,
        2.08834,
        1.9562,
        1.98098,
        1.96601,
        1.85922,
        1.85147,
        1.91927,
        1.92129,
        1.81767,
        1.81132,
        1.832,
        1.88284,
        1.87372,
        1.80363,
        1.78307,
        1.77527,
        1.82762,
        1.90221,
        1.9555,
        1.84102,
        1.74754,
        1.86463,
        2.01683,
        1.93639,
        2.03964,
        2.30902,
        2.39944,
        2.13803,
        2.00745,
        1.77844,
        1.7648,
        1.6378,
        1.61677,
        1.6486,
        1.69324,
        1.74346,
        1.58191,
        1.6019,
        1.58365,
        1.59441,
        1.59128,
        1.62873,
        1.6052,
        1.57474,
        1.55978,
        1.53684,
        1.50889,
        1.56794,
        1.57586,
        1.55652,
        1.62557,
        1.58428,
        1.56913,
        1.62274,
        1.61949,
        1.64002,
        1.61715,
        1.59684,
        1.53618,
        1.55294,
        1.63149,
        1.66223,
        1.57595,
        1.58157,
        1.56795,
        1.53313,
        1.58869,
        1.58021,
        1.61796,
        1.64902,
        1.76278,
        1.75785,
        1.70166,
        1.80552,
        1.84863,
        2.03675,
        1.84163,
        2.31313,
        1.90942,
        1.67082,
        1.59818,
        1.61658,
        1.7358,
        1.60535,
        1.62251,
        1.63343,
        1.62048,
        1.5674,
        1.54246,
        1.56107,
        1.58227,
        1.57421,
        1.54001,
        1.57486,
        1.58894,
        1.56761,
        1.51529,
        1.51938,
        1.52565,
        1.57992,
        1.5487,
        1.54557,
        1.50886,
        1.51479,
        1.52443,
        1.50318,
        1.48607,
        1.50641,
        1.50226,
        1.5227,
        1.52858,
        1.54221,
        1.53676,
        1.51313,
        1.49764,
        1.50515,
        1.52318,
        1.51756,
        1.50809,
        1.47103,
        1.48449,
        1.45919,
        1.47364,
        1.4886,
        1.52136,
        1.5139,
        1.47744,
        1.49547,
        1.5222,
        1.508,
        1.50052,
        1.53137,
        1.52597,
        1.50786,
        1.49877,
        1.51189,
        1.50051,
        1.52806,
        1.50305,
        1.51472,
        1.54768,
        1.51736,
        1.46805,
        1.46614,
        1.48378,
        1.47691,
        1.46075,
        1.40355,
        1.33742,
        1.38243,
        1.44238,
        1.51173,
        1.51951,
        1.52989,
        1.56738,
        1.60442,
        1.57807,
        1.53044,
        1.50175,
        1.53773,
        1.55712,
        1.53673,
        1.49944,
        1.49815,
        1.55909,
        1.49352,
        1.46175,
        1.4734,
        1.46351,
        1.42849,
        1.46821,
        1.46846,
        1.43924,
        1.46249,
        1.47179,
        1.46417,
        1.43874,
        1.43732,
        1.46732,
        1.45391,
        1.43798,
        1.45028,
        1.49553,
        1.47623,
        1.45381,
        1.49571,
        1.49983,
        1.45744,
        1.46492,
        1.46691,
        1.47529,
        1.44275,
        1.43737,
        1.45984,
        1.44963,
        1.43123,
        1.46624,
        1.44029,
        1.40089,
        1.44361,
        1.43419,
        1.45143,
        1.46614,
        1.45795,
        1.41575,
        1.40936,
        1.43616,
        1.45253,
        1.38272,
        1.4276,
        1.44228,
        1.44511,
        1.47251,
        1.47846,
        1.47381,
        1.46589,
        1.46189,
        1.47225,
        1.45699,
        1.4597,
        1.4848,
        1.49848,
        1.49511,
        1.46979,
        1.48358,
        1.49105,
        1.4653,
        1.49424,
        1.45844,
        1.4529,
        1.44095,
        1.45136,
        1.49844,
        1.53744,
        1.4852,
        1.49008,
        1.51407,
        1.50167,
        1.51266,
        1.49948,
        1.49905,
        1.52642,
        1.5513,
        1.54181,
        1.51588,
        1.53367,
        1.52604,
        1.53174,
        1.54485,
        1.53162,
        1.51584,
        1.55103,
        1.52077,
        1.53116,
        1.5205,
        1.50134,
        1.51103,
        1.55369,
        1.51634,
        1.47989,
        1.51587,
        1.54436,
        1.54116,
        1.53635,
        1.54635,
        1.54369,
        1.55764,
        1.54241,
        1.53619,
        1.53185,
        1.55695,
        1.52781,
        1.51986,
        1.526,
        1.55368,
        1.53813,
        1.58037,
        1.58722,
        1.57322,
        1.56737,
        1.60684,
        1.60453,
        1.58336,
        1.55927,
        1.60625,
        1.58937,
        1.57377,
        1.57631,
        1.57277,
        1.57217,
        1.58073,
        1.59722,
        1.57785,
        1.53389,
        1.57234,
        1.5839,
        1.56344,
        1.55027,
        1.52983,
        1.54436,
        1.54997,
        1.50723,
        1.54091,
        1.531,
        1.50465,
        1.54,
        1.55155,
        1.50426,
        1.51466,
        1.52703,
        1.57072,
        1.59145,
        1.57047,
        1.56967,
        1.5524,
        1.56198,
        1.58906,
        1.60564,
        1.58944,
        1.58406,
        1.57856,
        1.61274,
        1.62463,
        1.57879,
        1.58659,
        1.58549,
        1.57415,
        1.55489,
        1.56352,
        1.58875,
        1.55562,
        1.53817,
        1.54203,
        1.5324,
        1.54835,
        1.55883,
        1.53313,
        1.52554,
        1.53141,
        1.51479,
        1.49788,
        1.51597,
        1.49213,
        1.52977,
        1.53934,
        1.5324,
        1.53303,
        1.51658,
        1.54073,
        1.52461,
        1.52936,
        1.52735,
        1.52003,
        1.52258,
        1.53127,
        1.5431,
        1.52565,
        1.52578,
        1.52122,
        1.57957,
        1.56308,
        1.57637,
        1.55819,
        1.52634,
        1.51918,
        1.48189,
        1.45872,
        1.5095,
        1.50279,
        1.56088,
        1.52615,
        1.50382,
        1.53474,
        1.51421,
        1.46786,
        1.51293,
        1.5494,
        1.46505,
        1.45301,
        1.4658,
        1.48987,
        1.45773,
        1.4592,
        1.38462,
        1.35338,
        1.36648,
        1.35565,
        1.58631,
        1.39241,
        1.36564,
        1.87844,
        1.72631,
        1.75864,
        1.60115,
        1.55525,
        1.65008,
        1.72906,
        1.74665,
        1.76136,
        1.64438,
        1.42756,
        1.31957,
        1.25696,
        1.21247,
        1.1275,
        0.969936,
        0.790402,
        0.669468,
        0.561824,
        0.604497,
        0.843506,
        1.23822,
        1.62698,
        2.00699,
        2.19802,
        2.27489,
        2.33605,
        2.29086,
        2.20606,
        2.17783,
        2.0627,
        2.01288,
        1.95767,
        1.90465,
        1.86348,
        1.82819,
        1.80171,
        1.78985,
        1.76148,
        1.73372,
        1.72052,
        1.6571,
        1.67787,
        1.68261,
        1.66847,
        1.66199,
        1.64162,
        1.61463,
        1.59939,
        1.64161,
        1.63577,
        1.63594,
        1.61125,
        1.60153,
        1.58299,
        1.5958,
        1.59955,
        1.58558,
        1.57063,
        1.56523,
        1.57591,
        1.55971,
        1.55919,
        1.5711,
        1.55524,
        1.55299,
        1.53623,
        1.52943,
        1.53942,
        1.54914,
        1.5246,
        1.44369,
        1.49147,
        1.52164,
        1.47381,
        1.47556,
        1.49075,
        1.46865,
        1.51229,
        1.47643,
        1.46334,
        1.46286,
        1.42929,
        1.35061,
        1.39421,
        1.40344,
        1.43564,
        1.43308,
        1.44707,
        1.41225,
        1.45853,
        1.43133,
        1.42473,
        1.44116,
        1.42382,
        1.42894,
        1.42041,
        1.41387,
        1.39967,
        1.42418,
        1.43403,
        1.4325,
        1.43688,
        1.44346,
        1.44872,
        1.44055,
        1.43838,
        1.48252,
        1.46757,
        1.47528,
        1.44728,
        1.45502,
        1.46465,
        1.448,
        1.44625,
        1.43994,
        1.46263,
        1.44371,
        1.46041,
        1.40257,
        1.45988,
        1.46173,
        1.45026,
        1.45248,
        1.43892,
        1.42313,
        1.45228,
        1.42958,
        1.46033,
        1.48348,
        1.49694,
        1.5035,
        1.51613,
        1.50382,
        1.47376,
        1.48903,
        1.45782,
        1.45539,
        1.44213,
        1.4441,
        1.42182,
        1.43668,
        1.43419,
        1.35432,
        1.35973,
        1.30951,
        1.36799,
        1.38857,
        1.46656,
        1.50997,
        1.49989,
        1.54044,
        1.50219,
        1.4948,
        1.49995,
        1.50625,
        1.50491,
        1.50531,
        1.49055,
        1.48212,
        1.51197,
        1.49021,
        1.51594,
        1.50472,
        1.48476,
        1.47569,
        1.48214,
        1.48251,
        1.50768,
        1.49704,
        1.48709,
        1.46879,
        1.49659,
        1.51193,
        1.47979,
        1.53528,
        1.52252,
        1.53753,
        1.50697,
        1.50534,
        1.48405,
        1.46618,
        1.46448,
        1.45841,
        1.4839,
        1.48884,
        1.48853,
        1.48346,
        1.48675,
        1.47641,
        1.4539,
        1.45718,
        1.46193,
        1.48783,
        1.53416,
        1.52083,
        1.50407,
        1.45427,
        1.4638,
        1.46523,
        1.42472,
        1.47845,
        1.48833,
        1.48066,
        1.47062,
        1.47166,
        1.50054,
        1.49565,
        1.48221,
        1.50034,
        1.46488,
        1.44209,
        1.43505,
        1.43757,
        1.42374,
        1.43992,
        1.47083,
        1.48531,
        1.45507,
        1.48561,
        1.49045,
        1.46347,
        1.4519,
        1.4448,
        1.47847,
        1.4956,
        1.47837,
        1.48725,
        1.45586,
        1.43219,
        1.47505,
        1.48001,
        1.47044,
        1.51708,
        1.49149,
        1.44779,
        1.41678,
        1.42193,
        1.46317,
        1.4837,
        1.48875,
        1.51218,
        1.53528,
        1.50236,
        1.48114,
        1.47417,
        1.46983,
        1.49388,
        1.47182,
        1.51578,
        1.52481,
        1.5227,
        1.53004,
        1.46074,
        1.49304,
        1.52763,
        1.49683,
        1.4799,
        1.4857,
        1.54078,
        1.53301,
        1.51432,
        1.50287,
        1.51786,
        1.53278,
        1.53359,
        1.55017,
        1.51475,
        1.49218,
        1.54058,
        1.56244,
        1.50341,
        1.55556,
        1.5986,
        1.56166,
        1.51829,
        1.54269,
        1.52167,
        1.53569,
        1.57509,
        1.56601,
        1.56683,
        1.54278,
        1.601,
        1.57943,
        1.53486,
        1.57946,
        1.54315,
        1.5206,
        1.59027,
        1.60555,
        1.55534,
        1.5961,
        1.5846,
        1.54118,
        1.59103,
        1.59727,
        1.59324,
        1.54835,
        1.5786,
        1.58414,
        1.57845,
        1.50816,
        1.53465,
        1.5388,
        1.56028,
        1.54864,
        1.55977,
        1.55898,
        1.51311,
        1.54435,
        1.51469,
        1.52197,
        1.48047,
        1.55255,
        1.57955,
        1.54217,
        1.57094,
        1.54271,
        1.60856,
        1.58587,
        1.58542,
        1.59088,
        1.54995,
        1.60628,
        1.56263,
        1.55982,
        1.58892,
        1.60054,
        1.60817,
        1.58808,
        1.57843,
        1.5373,
        1.54434,
        1.55276,
        1.59079,
        1.51721,
        1.51751,
        1.55626,
        1.58152,
        1.5614,
        1.51975,
        1.5117,
        1.5645,
        1.55854,
        1.5315,
        1.5384,
        1.5515,
        1.51138,
        1.54461,
        1.52462,
        1.45991,
        1.44485,
        1.5134,
        1.50973,
        1.5456,
        1.53499,
        1.50972,
        1.47241,
        1.50502,
        1.50739,
        1.51649,
        1.46797,
        1.52781,
        1.47664,
        1.47927,
        1.45675,
        1.48308,
        1.49921,
        1.51155,
        1.48365,
        1.4717,
        1.5016,
        1.53865,
        1.48863,
        1.48995,
        1.48943,
        1.44411,
        1.47765,
        1.51024,
        1.49538,
        1.41007,
        1.40374,
        1.45084,
        1.43186,
        1.43951,
        1.44121,
        1.47566,
        1.44579,
        1.41074,
        1.45269,
        1.41644,
        1.52175,
        1.4537,
        1.41968,
        1.42138,
        1.41924,
        1.40829,
        1.3793,
        1.39795,
        1.42523,
        1.4412,
        1.41307,
        1.42458,
        1.48364,
        1.39263,
        1.4411,
        1.3831,
        1.39501,
        1.38642,
        1.39031,
        1.39344,
        1.41407,
        1.4405,
        1.43265,
        1.4111,
        1.39902,
        1.40547,
        1.41879,
        1.4105,
        1.407,
        1.40517,
        1.40074,
        1.39126,
        1.39941,
        1.42204,
        1.43359,
        1.45318,
        1.4062,
        1.39332,
        1.43346,
        1.4397,
        1.42126,
        1.43812,
        1.46218,
        1.46435,
        1.42166,
        1.38586,
        1.42483,
        1.36693,
        1.35313,
        1.38005,
        1.45489,
        1.42596,
        1.37938,
        1.44968,
        1.52275,
        1.49573,
        1.42228,
        1.47762,
        1.52799,
        1.5114,
        1.43881,
        1.61866,
        1.54105,
        1.5229,
        1.63582,
        1.3378,
        1.43351,
        1.50174,
        1.57002,
        1.51843,
        1.4216,
        1.47272,
        1.77988,
        1.54201,
        1.6846,
        1.67317,
        1.69769,
        1.70797,
        1.80487,
        1.7605,
        1.62624,
        1.53823,
        1.4583,
        1.32409,
        1.23455,
        1.19449,
        1.16059,
        1.10823,
        1.02792,
        0.804872,
        0.634376,
        0.614704,
        0.705603,
        0.945824,
        1.3647,
        1.82164,
        2.13869,
        2.32747,
        2.30941,
        2.34353,
        2.35706,
        2.19997,
        2.18025,
        2.092,
        2.01862,
        1.96935,
        1.95374,
        1.86374,
        1.88353,
        1.82129,
        1.78783,
        1.78879,
        1.77524,
        1.83442,
        1.75737,
        1.72087,
        1.722,
        1.72601,
        1.71612,
        1.65048,
        1.66628,
        1.69541,
        1.64737,
        1.64431,
        1.59821,
        1.66028,
        1.64413,
        1.63572,
        1.61205,
        1.66151,
        1.61846,
        1.64041,
        1.66085,
        1.64681,
        1.60184,
        1.59608,
        1.55303,
        1.59273,
        1.54977,
        1.52977,
        1.58928,
        1.57191,
        1.54834,
        1.56561,
        1.55201,
        1.58928,
        1.54225,
        1.57151,
        1.5605,
        1.51785,
        1.47893,
        1.46996,
        1.44448,
        1.3678,
        1.3393,
        1.37226,
        1.41862,
        1.41998,
        1.47749,
        1.50312,
        1.5242,
        1.50512,
        1.50026,
        1.50592,
        1.50507,
        1.52088,
        1.51626,
        1.51985,
        1.49089,
        1.48586,
        1.48297,
        1.49961,
        1.47167,
        1.5315,
        1.58867,
        1.52616,
        1.52395,
        1.50757,
        1.48344,
        1.49414,
        1.54116,
        1.5342,
        1.57297,
        1.57832,
        1.54665,
        1.61749,
        1.60245,
        1.5895,
        1.4877,
        1.56933,
        1.59662,
        1.64125,
        1.62713,
        1.33942,
        1.46788,
        1.81867,
        1.74971,
        1.57984,
        1.5618,
        1.4682,
        1.67479,
        1.57384,
        1.59516,
        1.59666,
        1.59472,
        1.59677,
        1.42355,
        1.41473,
        1.45894,
        1.47895,
        1.53427,
        1.51577,
        1.49747,
        1.45696,
        1.52082,
        1.50716,
        1.47804,
        1.46974,
        1.47992,
        1.51804,
        1.52454,
        1.49094,
        1.53245,
        1.53992,
        1.49559,
        1.49729,
        1.46347,
        1.47964,
        1.52653,
        1.49095,
        1.48127,
        1.47677,
        1.57988,
        1.53326,
        1.49448,
        1.47879,
        1.50439,
        1.54903,
        1.54437,
        1.46444,
        1.52844,
        1.48322,
        1.46651,
        1.46937,
        1.50364,
        1.52026,
        1.52963,
        1.53244,
        1.53032,
        1.52168,
        1.52102,
        1.52589,
        1.52038,
        1.50704,
        1.51142,
        1.50814,
        1.54761,
        1.54204,
        1.51857,
        1.53585,
        1.53734,
        1.57522,
        1.51344,
        1.58702,
        1.56501,
        1.60628,
        1.50364,
        1.50698,
        1.55539,
        1.49313,
        1.44879,
        1.47687,
        1.51249,
        1.56399,
        1.54565,
        1.52055,
        1.47664,
        1.54185,
        1.45591,
        1.44134,
        1.42938,
        1.49578,
        1.53889,
        1.53306,
        1.50486,
        1.48548,
        1.48867,
        1.45965,
        1.41799,
        1.39568,
        1.46386,
        1.51152,
        1.44021,
        1.42884,
        1.421,
        1.44952,
        1.46507,
        1.39274,
        1.48032,
        1.45205,
        1.47259,
        1.47204,
        1.45351,
        1.49412,
        1.45796,
        1.46703,
        1.45733,
        1.44828,
        1.43028,
        1.4427,
        1.49696,
        1.49896,
        1.42809,
        1.47846,
        1.50407,
        1.49516,
        1.49111,
        1.50637,
        1.50576,
        1.51253,
        1.50538,
        1.49353,
        1.51581,
        1.55521,
        1.57784,
        1.51715,
        1.52528,
        1.54101,
        1.52644,
        1.54395,
        1.49601,
        1.54154,
        1.5797,
        1.5845,
        1.59565,
        1.58958,
        1.60483,
        1.64763,
        1.60465,
        1.60433,
        1.65212,
        1.65924,
        1.64609,
        1.61996,
        1.64372,
        1.6089,
        1.6238,
        1.62927,
        1.65366,
        1.62741,
        1.63461,
        1.60702,
        1.63683,
        1.66033,
        1.65904,
        1.64931,
        1.62248,
        1.59274,
        1.62977,
        1.60276,
        1.59412,
        1.60454,
        1.59515,
        1.62187,
        1.59562,
        1.59692,
        1.59718,
        1.59395,
        1.58372,
        1.58974,
        1.62138,
        1.55663,
        1.59685,
        1.61151,
        1.5679,
        1.55913,
        1.55135,
        1.60662,
        1.6129,
        1.57254,
        1.5689,
        1.59826,
        1.60964,
        1.62628,
        1.55173,
        1.54578,
        1.58173,
        1.60887,
        1.60374,
        1.5771,
        1.57893,
        1.53312,
        1.58006,
        1.57418,
        1.56395,
        1.54992,
        1.58668,
        1.59169,
        1.55951,
        1.58552,
        1.54879,
        1.5479,
        1.53303,
        1.55444,
        1.54413,
        1.56715,
        1.57897,
        1.5107,
        1.51337,
        1.5207,
        1.49922,
        1.50464,
        1.48039,
        1.48506,
        1.48963,
        1.51939,
        1.52668,
        1.50582,
        1.4529,
        1.4842,
        1.52643,
        1.50946,
        1.47166,
        1.47351,
        1.43756,
        1.54984,
        1.65093,
        1.51555,
        1.52943,
        1.48356,
        1.4419,
        1.47486,
        1.4366,
        1.49013,
        1.51934,
        1.52371,
        1.47073,
        1.49276,
        1.49263,
        1.50868,
        1.5107,
        1.49121,
        1.48644,
        1.49315,
        1.49709,
        1.50107,
        1.5096,
        1.51494,
        1.49085,
        1.52021,
        1.50426,
        1.51696,
        1.52098,
        1.48843,
        1.50979,
        1.48638,
        1.50378,
        1.55118,
        1.54903,
        1.51407,
        1.51255,
        1.48479,
        1.44889,
        1.47267,
        1.51832,
        1.51747,
        1.49778,
        1.45827,
        1.45445,
        1.54084,
        1.46458,
        1.48995,
        1.47706,
        1.49121,
        1.52869,
        1.48139,
        1.53701,
        1.54943,
        1.40778,
        1.4496,
        1.54561,
        1.53936,
        1.4413,
        1.44402,
        1.40991,
        1.46654,
        1.44544,
        1.43825,
        1.45059,
        1.53431,
        1.55359,
        1.55645,
        1.45658,
        1.4775,
        1.47926,
        1.5124,
        1.48063,
        1.46506,
        1.37058,
        1.39389,
        1.42574,
        1.44745,
        1.43314,
        1.47234,
        1.48217,
        1.39829,
        1.42592,
        1.44192,
        1.49235,
        1.50492,
        1.41976,
        1.42759,
        1.40364,
        1.45608,
        1.47163,
        1.44874,
        1.40975,
        1.43597,
        1.40965,
        1.40624,
        1.43259,
        1.45044,
        1.44262,
        1.47781,
        1.41441,
        1.43151,
        1.44131,
        1.46722,
        1.44076,
        1.4199,
        1.43471,
        1.43475,
        1.45641,
        1.4529,
        1.45178,
        1.46142,
        1.46086,
        1.52816,
        1.44398,
        1.45524,
        1.45516,
        1.45579,
        1.42738,
        1.41222,
        1.50574,
        1.4939,
        1.47436,
        1.47049,
        1.45578,
        1.47312,
        1.41963,
        1.38476,
        1.40151,
        1.36686,
        1.35924,
        1.3127,
        1.25753,
        1.28258,
        1.32807,
        1.44843,
        1.47296,
        1.25077,
        1.55419,
        1.65918,
        1.56625,
        1.60227,
        1.75489,
        1.7146,
        1.7089,
        1.63034,
        1.58931,
        1.55253,
        1.36363,
        1.2564,
        1.19162,
        1.07927,
        1.03071,
        0.948428,
        0.838665,
        0.73934,
        0.662595,
        0.755609,
        0.900487,
        1.22475,
        1.52803,
        1.7693,
        2.0719,
        2.27248,
        2.34021,
        2.33209,
        2.31471,
        2.27515,
        2.17008,
        2.18957,
        2.07651,
        1.93986,
        1.93467,
        1.9449,
        1.89261,
        1.81897,
        1.82476,
        1.83062,
        1.76996,
        1.74681,
        1.73763,
        1.7071,
        1.79077,
        1.73348,
        1.69718,
        1.6768,
        1.70759,
        1.7089,
        1.62822,
        1.66814,
        1.69063,
        1.70756,
        1.63626,
        1.66085,
        1.59914,
        1.60784,
        1.63923,
        1.60825,
        1.58139,
        1.57752,
        1.57152,
        1.59169,
        1.58672,
        1.60569,
        1.6354,
        1.60854,
        1.58802,
        1.58887,
        1.57208,
        1.57654,
        1.58383,
        1.64483,
        1.58788,
        1.5655,
        1.57402,
        1.56272,
        1.553,
        1.53204,
        1.51389,
        1.47428,
        1.40863,
        1.51361,
        1.50511,
        1.47457,
        1.49628,
        1.54853,
        1.53603,
        1.42877,
        1.45327,
        1.48303,
        1.51625,
        1.51411,
        1.49286,
        1.45129,
        1.53213,
        1.55342,
        1.49478,
        1.47733,
        1.46514,
        1.45993,
        1.45791,
        1.51968,
        1.49424,
        1.51875,
        1.46265,
        1.45369,
        1.45804,
        1.44727,
        1.46366,
        1.45624,
        1.44636,
        1.40729,
        1.40021,
        1.45996,
        1.47801,
        1.47683,
        1.44809,
        1.40968,
        1.44449,
        1.46939,
        1.44607,
        1.41392,
        1.42155,
        1.44197,
        1.51092,
        1.44225,
        1.43089,
        1.45344,
        1.39684,
        1.44121,
        1.43873,
        1.43093,
        1.43771,
        1.44203,
        1.47407,
        1.41426,
        1.45103,
        1.4443,
        1.477,
        1.45808,
        1.46315,
        1.43787,
        1.44009,
        1.45868,
        1.45882,
        1.49932,
        1.37746,
        1.45189,
        1.42684,
        1.33974,
        1.38373,
        1.4626,
        1.53975,
        1.49919,
        1.45208,
        1.42796,
        1.40567,
        1.47274,
        1.4729,
        1.43507,
        1.46263,
        1.47695,
        1.45786,
        1.48915,
        1.4312,
        1.46843,
        1.44503,
        1.4604,
        1.47193,
        1.49251,
        1.42713,
        1.4756,
        1.46706,
        1.41961,
        1.50889,
        1.42619,
        1.39393,
        1.46276,
        1.45934,
        1.42981,
        1.44628,
        1.46127,
        1.38141,
        1.38587,
        1.44892,
        1.47959,
        1.45323,
        1.45977,
        1.48661,
        1.41411,
        1.4277,
        1.49225,
        1.44135,
        1.4699,
        1.46036,
        1.47406,
        1.48323,
        1.45097,
        1.46068,
        1.39686,
        1.52843,
        1.49799,
        1.45656,
        1.45416,
        1.4789,
        1.46433,
        1.50522,
        1.44645,
        1.46569,
        1.48831,
        1.50628,
        1.51342,
        1.49422,
        1.58809,
        1.51831,
        1.57263,
        1.465,
        1.44016,
        1.46209,
        1.47359,
        1.49239,
        1.52491,
        1.51432,
        1.52953,
        1.5348,
        1.57317,
        1.51451,
        1.49493,
        1.51075,
        1.5541,
        1.53009,
        1.56741,
        1.55193,
        1.57139,
        1.58587,
        1.52745,
        1.61447,
        1.58456,
        1.59046,
        1.6023,
        1.61429,
        1.63778,
        1.56504,
        1.61265,
        1.58106,
        1.5489,
        1.63179,
        1.6443,
        1.58424,
        1.59974,
        1.59862,
        1.60843,
        1.57514,
        1.56468,
        1.63227,
        1.58079,
        1.67,
        1.64447,
        1.58176,
        1.59455,
        1.61367,
        1.63745,
        1.64349,
        1.58082,
        1.58705,
        1.57791,
        1.63626,
        1.6379,
        1.59377,
        1.5805,
        1.51197,
        1.54336,
        1.65841,
        1.56933,
        1.52906,
        1.59117,
        1.5552,
        1.56625,
        1.62775,
        1.6642,
        1.65965,
        1.57643,
        1.60162,
        1.60547,
        1.60284,
        1.51131,
        1.66482,
        1.63853,
        1.59414,
        1.58324,
        1.54711,
        1.56875,
        1.58485,
        1.55853,
        1.55426,
        1.48557,
        1.53582,
        1.43443,
        1.50639,
        1.5421,
        1.48553,
        1.48633,
        1.508,
        1.46651,
        1.48776,
        1.50257,
        1.52566,
        1.47869,
        1.46033,
        1.49712,
        1.48162,
        1.4744,
        1.4592,
        1.46059,
        1.44561,
        1.48909,
        1.49635,
        1.5177,
        1.49962,
        1.37431,
        1.43452,
        1.52728,
        1.55286,
        1.57683,
        1.50093,
        1.5628,
        1.64471,
        1.54092,
        1.64494,
        1.55469,
        1.68822,
        1.57091,
        1.55908,
        1.34759,
        1.5242,
        1.32861,
        1.50715,
        1.72531,
        2.20774,
        1.80723,
        1.78095,
        1.76689,
        1.60363,
        1.59531,
        1.73043,
        1.56552,
        1.55444,
        1.49812,
        1.316,
        1.45124,
        1.52085,
        1.48846,
        1.4985,
        1.42766,
        1.4898,
        1.52402,
        1.47887,
        1.55456,
        1.48545,
        1.50316,
        1.46983,
        1.56304,
        1.42094,
        1.4955,
        1.48359,
        1.48446,
        1.47982,
        1.46584,
        1.49278,
        1.51446,
        1.3926,
        1.47396,
        1.44256,
        1.48387,
        1.4666,
        1.42791,
        1.41127,
        1.48148,
        1.54164,
        1.50582,
        1.45836,
        1.46112,
        1.51646,
        1.49646,
        1.52212,
        1.5071,
        1.55953,
        1.49778,
        1.51392,
        1.47342,
        1.45762,
        1.4286,
        1.50614,
        1.43884,
        1.43923,
        1.47136,
        1.50387,
        1.42396,
        1.45003,
        1.46717,
        1.42388,
        1.50292,
        1.49187,
        1.45801,
        1.52565,
        1.61654,
        1.50753,
        1.46682,
        1.51144,
        1.45677,
        1.46318,
        1.47478,
        1.43688,
        1.43435,
        1.43949,
        1.48813,
        1.53663,
        1.52378,
        1.50614,
        1.48363,
        1.49882,
        1.47534,
        1.44343,
        1.53487,
        1.45966,
        1.44054,
        1.48103,
        1.5103,
        1.51796,
        null,
        1.53861,
        1.48654,
        1.49221,
        1.51544,
        1.5008,
        1.50639,
        1.5206,
        1.51794,
        1.53116,
        1.55754,
        1.5176,
        1.54496,
        1.55906,
        1.53774,
        1.54874,
        1.54603,
        1.53063,
        1.58275,
        1.56701,
        1.55907,
        1.53881,
        1.5386,
        1.54058,
        1.49242,
        1.50863,
        1.56889,
        1.50758,
        1.54318,
        1.55485,
        1.55223,
        1.62227,
        1.59786,
        1.5918,
        1.64441,
        1.6471,
        1.63333,
        1.66445,
        1.65314,
        1.77086,
        1.78834,
        2.02877,
        2.05339,
        1.96325,
        1.87062,
        1.80318,
        1.78069,
        1.7628,
        1.73818,
        1.77249,
        1.71203,
        1.72967,
        1.71142,
        1.67035,
        1.68858,
        1.65698,
        1.63455,
        1.61697,
        1.61565,
        1.63643,
        1.6531,
        1.67822,
        1.6299,
        1.57611,
        1.55359,
        1.56921,
        1.62812,
        1.57523,
        1.59052,
        1.59799,
        1.58728,
        1.60246,
        1.62349,
        1.61546,
        1.60118,
        1.65288,
        1.65365,
        1.65163,
        1.6051,
        1.64146,
        1.59143,
        1.56232,
        1.55185,
        1.59469,
        1.60446,
        1.59749,
        1.57625,
        1.53702,
        1.52209,
        1.55467,
        1.57665,
        1.57789,
        1.54781,
        1.56113,
        1.54709,
        1.54135,
        1.53004,
        1.54234,
        1.51322,
        1.4702,
        1.48933,
        1.49948,
        1.54288,
        1.49696,
        1.48779,
        1.49838,
        1.52083,
        1.521,
        1.48817,
        1.50045,
        1.46063,
        1.42383,
        1.46126,
        1.44999,
        1.49753,
        1.45138,
        1.41142,
        1.48785,
        1.50054,
        1.43722,
        1.46874,
        1.45553,
        1.44688,
        1.45419,
        1.42981,
        1.42921,
        1.4126,
        1.45292,
        1.46093,
        1.45193,
        1.42416,
        1.39988,
        1.43782,
        1.45636,
        1.45865,
        1.47148,
        1.4596,
        1.4285,
        1.46519,
        1.45129,
        1.45708,
        1.46711,
        1.42978,
        1.45655,
        1.4852,
        1.47768,
        1.42993,
        1.43184,
        1.47181,
        1.4638,
        1.45138,
        1.44368,
        1.46671,
        1.4731,
        1.51275,
        1.49558,
        1.45671,
        1.45293,
        1.4752,
        1.48733,
        1.46965,
        1.466,
        1.42986,
        1.43663,
        1.45914,
        1.46145,
        1.48403,
        1.49062,
        1.43772,
        1.45076,
        1.41313,
        1.42098,
        1.45521,
        1.43402,
        1.44035,
        1.47578,
        1.49551,
        1.47084,
        1.48162,
        1.46591,
        1.5117,
        1.4853,
        1.51293,
        1.47562,
        1.50344,
        1.52404,
        1.50368,
        1.50671,
        1.47601,
        1.4432,
        1.46612,
        1.4886,
        1.48997,
        1.47838,
        1.45524,
        1.44623,
        1.496,
        1.51626,
        1.50756,
        1.56147,
        1.59023,
        1.56108,
        1.52339,
        1.48002,
        1.48164,
        1.50354,
        1.48805,
        1.51553,
        1.53977,
        1.53051,
        1.47276,
        1.48051,
        1.46692,
        1.47642,
        1.49027,
        1.50173,
        1.52824,
        1.4885,
        1.52779,
        1.50736,
        1.54383,
        1.48882,
        1.54538,
        1.52121,
        1.55298,
        1.54878,
        1.50128,
        1.48981,
        1.4761,
        1.4734,
        1.51236,
        1.51215,
        1.45538,
        1.42548,
        1.47556,
        1.50135,
        1.49361,
        1.43602,
        1.45627,
        1.52165,
        1.44837,
        1.45773,
        1.43627,
        1.47954,
        1.47672,
        1.49727,
        1.48679,
        1.48338,
        1.49801,
        1.48129,
        1.46638,
        1.47731,
        1.47543,
        1.45981,
        1.48894,
        1.46298,
        1.46806,
        1.51304,
        1.49678,
        1.45287,
        1.5392,
        1.53381,
        1.47997,
        1.43689,
        1.44042,
        1.53579,
        1.53272,
        1.51221,
        1.50591,
        1.52656,
        1.54835,
        1.54599,
        1.54291,
        1.55101,
        1.44724,
        1.49127,
        1.5162,
        1.56545,
        1.54278,
        1.56412,
        1.51271,
        1.51292,
        1.50326,
        1.54992,
        1.52405,
        1.55548,
        1.51264,
        1.53792,
        1.49262,
        1.54097,
        1.5642,
        1.53043,
        1.51254,
        1.51505,
        1.5233,
        1.49695,
        1.48684,
        1.48108,
        1.4007,
        1.366,
        1.34656,
        1.38226,
        1.3858,
        1.36069,
        1.38543,
        1.78916,
        2.15318,
        1.8004,
        1.76413,
        1.80822,
        1.75316,
        1.70171,
        1.69424,
        1.75376,
        1.77019,
        1.78045,
        1.61868,
        1.49503,
        1.38764,
        1.26232,
        1.22474,
        1.20541,
        1.16206,
        1.05793,
        0.931555,
        0.945316,
        1.15738,
        1.5141,
        1.82992,
        2.09278,
        2.26747,
        2.31683,
        2.31374,
        2.32299,
        2.29581,
        2.30218,
        2.24323,
        2.14908,
        2.10096,
        2.02553,
        1.97105,
        1.93023,
        1.87397,
        1.84157,
        1.81891,
        1.76714,
        1.75802,
        1.7223,
        1.63589,
        1.66464,
        1.7209,
        1.70237,
        1.68233,
        1.66201,
        1.63039,
        1.75519,
        1.67738,
        1.61122,
        1.56807,
        1.61286,
        1.60232,
        1.62333,
        1.60492,
        1.58323,
        1.60742,
        1.59098,
        1.60823,
        1.65097,
        1.61688,
        1.59593,
        1.55811,
        1.5783,
        1.54341,
        1.497,
        1.50641,
        1.53226,
        1.56091,
        1.5326,
        1.53601,
        1.51461,
        1.53467,
        1.49729,
        1.51917,
        1.50543,
        1.52913,
        1.50268,
        1.54222,
        1.50746,
        1.51553,
        1.53376,
        1.54006,
        1.51171,
        1.51436,
        1.51424,
        1.56041,
        1.46271,
        1.52238,
        1.52598,
        1.53913,
        1.57106,
        1.5661,
        1.51972,
        1.5494,
        1.56992,
        1.53081,
        1.52601,
        1.47296,
        1.50413,
        1.51715,
        1.52576,
        1.57196,
        1.53698,
        1.52993,
        1.52792,
        1.50033,
        1.46076,
        1.45757,
        1.50903,
        1.52978,
        1.52445,
        1.5327,
        1.50429,
        1.4923,
        1.49331,
        1.57789,
        1.56391,
        1.55174,
        1.43333,
        1.46442,
        1.50829,
        1.53787,
        1.49596,
        1.55036,
        1.60755,
        1.55996,
        1.5839,
        1.54996,
        1.51665,
        1.55465,
        1.521,
        1.48159,
        1.48046,
        1.48882,
        1.52576,
        1.55887,
        1.48144,
        1.4481,
        1.53311,
        1.61587,
        1.54039,
        1.46126,
        1.34383,
        1.56245,
        1.53175,
        1.64559,
        1.69678,
        1.69049,
        1.79148,
        1.61591,
        1.6495,
        1.5379,
        1.63416,
        1.56707,
        1.4364,
        1.54145,
        1.63009,
        1.64038,
        1.66072,
        1.57494,
        1.6439,
        1.63478,
        1.623,
        1.62725,
        1.63254,
        1.6093,
        1.65354,
        1.66104,
        1.59037,
        1.64406,
        1.66979,
        1.64175,
        1.64285,
        1.64438,
        1.6829,
        1.67413,
        1.63695,
        1.64399,
        1.54818,
        1.57805,
        1.5938,
        1.62107,
        1.63288,
        1.60991,
        1.54947,
        1.57927,
        1.58406,
        1.57425,
        1.57456,
        1.5754,
        1.60992,
        1.6531,
        1.64069,
        1.65688,
        1.65565,
        1.61711,
        1.55055,
        1.53539,
        1.58861,
        1.64171,
        1.56556,
        1.54033,
        1.54268,
        1.5966,
        1.5837,
        1.56323,
        1.57397,
        1.56365,
        1.5469,
        1.55892,
        1.55055,
        1.53674,
        1.56253,
        1.53529,
        1.52941,
        1.52201,
        1.55634,
        1.54328,
        1.52721,
        1.50356,
        1.52867,
        1.48698,
        1.50873,
        1.53122,
        1.47585,
        1.49486,
        1.49359,
        1.52237,
        1.49475,
        1.46317,
        1.48137,
        1.49457,
        1.49278,
        1.48338,
        1.4965,
        1.50485,
        1.48039,
        1.51761,
        1.51764,
        1.50448,
        1.50341,
        1.49585,
        1.52882,
        1.49893,
        1.48885,
        1.49225,
        1.50845,
        1.50861,
        1.50962,
        1.50003,
        1.5004,
        1.51556,
        1.52157,
        1.50148,
        1.52868,
        1.54267,
        1.52171,
        1.55278,
        1.50998,
        1.44083,
        1.47928,
        1.55779,
        1.51382,
        1.51619,
        1.52776,
        1.51141,
        1.547,
        1.53567,
        1.55666,
        1.55009,
        1.50066,
        1.51517,
        1.5347,
        1.51003,
        1.52566,
        1.52678,
        1.53706,
        1.54481,
        1.50693,
        1.54262,
        1.56877,
        1.47834,
        1.47456,
        1.5404,
        1.51064,
        1.48338,
        1.51045,
        1.48115,
        1.50149,
        1.50231,
        1.46587,
        1.44972,
        1.43437,
        1.42566,
        1.47765,
        1.50104,
        1.52948,
        1.54992,
        1.54386,
        1.51091,
        1.51275,
        1.52972,
        1.52178,
        1.51802,
        1.54041,
        1.55121,
        1.53437,
        1.54623,
        1.52967,
        1.53716,
        1.5019,
        1.50506,
        1.55762,
        1.54106,
        1.52249,
        1.51714,
        1.49599,
        1.56731,
        1.59327,
        1.54925,
        1.45176,
        1.49059,
        1.51688,
        1.46468,
        1.49483,
        1.51157,
        1.53304,
        1.5632,
        1.56951,
        1.51389,
        1.57357,
        1.54523,
        1.53076,
        1.48839,
        1.51968,
        1.48709,
        1.53527,
        1.51102,
        1.53265,
        1.48832,
        1.48382,
        1.47616,
        1.49748,
        1.5116,
        1.50619,
        1.5246,
        1.4867,
        1.55118,
        1.5553,
        1.56564,
        1.43274,
        1.40226,
        1.48825,
        1.50197,
        1.50944,
        1.5039,
        1.52429,
        1.49912,
        1.50033,
        1.49325,
        1.46594,
        1.48339,
        1.49918,
        1.46791,
        1.45837,
        1.4808,
        1.483,
        1.45581,
        1.46179,
        1.50786,
        1.47356,
        1.47236,
        1.45453,
        1.46556,
        1.46022,
        1.47542,
        1.47535,
        1.47012,
        1.4593,
        1.44619,
        1.46067,
        1.47311,
        1.4829,
        1.49185,
        1.48686,
        1.48702,
        1.4855,
        1.46077,
        1.42458,
        1.4633,
        1.4907,
        1.46058,
        1.47578,
        1.47067,
        1.4618,
        1.45431,
        1.39958,
        1.47552,
        1.48097,
        1.46094,
        1.46182,
        1.44055,
        1.48149,
        1.44846,
        1.47058,
        1.42702,
        1.42596,
        1.48355,
        1.4526,
        1.47188,
        1.46526,
        1.4745,
        1.44638,
        1.48311,
        1.46081,
        1.46572,
        1.46077,
        1.48155,
        1.46461,
        1.44386,
        1.46484,
        1.44227,
        1.46911,
        1.4844,
        1.44463,
        1.51553,
        1.54247,
        1.48555,
        1.46777,
        1.4658,
        1.49643,
        1.50725,
        1.46713,
        1.40595,
        1.39678,
        1.49699,
        1.51264,
        1.51415,
        1.5196,
        1.48033,
        1.46489,
        1.48614,
        1.46618,
        1.46708,
        1.49636,
        1.47112,
        1.49017,
        1.4644,
        1.47355,
        1.57054,
        1.62867,
        1.57439,
        1.49876,
        1.38845,
        1.35641,
        1.25664,
        1.24724,
        1.29377,
        1.31813,
        1.37139,
        1.52066,
        1.66304,
        1.56645,
        1.83621,
        1.74099,
        1.74788,
        1.71287,
        1.56942,
        1.7615,
        1.72538,
        1.76628,
        1.82534,
        1.83033,
        1.79546,
        1.77948,
        1.65591,
        1.54787,
        1.57517,
        1.48202,
        1.30265,
        1.29327,
        1.24908,
        1.06645,
        0.999827,
        1.05375,
        1.36081,
        1.76195,
        2.10192,
        2.40362,
        2.52486,
        2.7377,
        2.7237,
        2.58694,
        2.62442,
        2.46248,
        2.51007,
        2.59605,
        2.54879,
        2.4856,
        2.27017,
        2.23926,
        2.32581,
        2.44523,
        2.79737,
        2.67258,
        2.97331,
        2.42503,
        2.40421,
        2.28801,
        2.09632,
        2.09098,
        2.07436,
        2.08458,
        1.79495,
        1.76139,
        1.95429,
        1.95395,
        1.95533,
        2.04868,
        2.02011,
        1.95197,
        2.04531,
        2.45768,
        2.34765,
        1.92186,
        1.91902,
        1.90135,
        1.71415,
        1.91113,
        1.9211,
        1.78788,
        1.74831,
        1.69181,
        1.62753,
        1.72849,
        1.63799,
        1.63277,
        1.62041,
        1.632,
        1.66211,
        1.61053,
        1.63257,
        1.61549,
        1.57664,
        1.57936,
        1.56319,
        1.61384,
        1.66216,
        1.62539,
        1.55876,
        1.60758,
        1.63112,
        1.60298,
        1.56683,
        1.60372,
        1.56959,
        1.57964,
        1.614,
        1.64195,
        1.6203,
        1.59296,
        1.59247,
        1.60684,
        1.59141,
        1.60121,
        1.64695,
        1.74602,
        1.59885,
        1.63099,
        1.62059,
        1.58491,
        1.59364,
        1.60747,
        1.57796,
        1.64763,
        1.6746,
        1.64146,
        1.65321,
        1.67821,
        1.68349,
        1.66389,
        1.6381,
        1.6565,
        1.64611,
        1.61634,
        1.66318,
        1.65679,
        1.67254,
        1.66584,
        1.62632,
        1.66405,
        1.75165,
        1.85384,
        1.74707,
        1.71968,
        1.67561,
        1.66365,
        1.64572,
        1.69137,
        1.64329,
        1.62552,
        1.65498,
        1.64184,
        1.63025,
        1.6732,
        1.71309,
        1.66091,
        1.62768,
        1.60124,
        1.63074,
        1.63112,
        1.64265,
        1.57046,
        1.6141,
        1.60153,
        1.60608,
        1.5681,
        1.58417,
        1.56612,
        1.55228,
        1.60821,
        1.60141,
        1.56948,
        1.5968,
        1.62485,
        1.59314,
        1.64289,
        1.56824,
        1.56856,
        1.56923,
        1.58714,
        1.52466,
        1.52698,
        1.497,
        1.5506,
        1.58279,
        1.51358,
        1.47821,
        1.51432,
        1.47716,
        1.49371,
        1.46181,
        1.4471,
        1.45714,
        1.49307,
        1.544,
        1.60078,
        1.55244,
        1.5604,
        1.56886,
        1.58727,
        1.52452,
        1.36873,
        1.39444,
        1.40036,
        1.53759,
        1.5471,
        1.53217,
        1.4463,
        1.49426,
        1.54413,
        1.45038,
        1.53824,
        1.39879,
        1.38645,
        1.48644,
        1.43046,
        1.44391,
        1.428,
        1.38491,
        1.38153,
        1.47262,
        1.4802,
        1.49815,
        1.47332,
        1.53201,
        1.51806,
        1.46674,
        1.47217,
        1.48204,
        1.46732,
        1.43082,
        1.44605,
        1.48651,
        1.49618,
        1.44738,
        1.46136,
        1.46598,
        1.446,
        1.47021,
        1.45919,
        1.47776,
        1.46282,
        1.48244,
        1.50333,
        1.47647,
        1.47201,
        1.49773,
        1.49312,
        1.49298,
        1.44436,
        1.40523,
        1.44157,
        1.47808,
        1.45051,
        1.45551,
        1.44914,
        1.43942,
        1.42696,
        1.46983,
        1.43956,
        1.45064,
        1.46816,
        1.46116,
        1.44361,
        1.45137,
        1.43298,
        1.46096,
        1.44364,
        1.4809,
        1.48304,
        1.42617,
        1.42945,
        1.45154,
        1.42193,
        1.43102,
        1.43839,
        1.43861,
        1.45391,
        1.48128,
        1.49788,
        1.49749,
        1.45856,
        1.51017,
        1.50896,
        1.49036,
        1.48961,
        1.46799,
        1.45821,
        1.47498,
        1.52037,
        1.48773,
        1.41254,
        1.45824,
        1.4076,
        1.4481,
        1.43024,
        1.47939,
        1.47962,
        1.43608,
        1.47043,
        1.48969,
        1.49618,
        1.41081,
        1.41679,
        1.41978,
        1.46068,
        1.46179,
        1.42926,
        1.52968,
        1.54831,
        1.49474,
        1.4968,
        1.46967,
        1.48999,
        1.48755,
        1.41854,
        1.44964,
        1.4931,
        1.47834,
        1.53788,
        1.49129,
        1.49544,
        1.56887,
        1.57858,
        1.50877,
        1.56214,
        1.56572,
        1.57894,
        1.63655,
        1.64507,
        1.63663,
        1.7317,
        1.73812,
        1.77867,
        1.89375,
        1.73531,
        2.10457,
        1.69842,
        1.78161,
        2.01447,
        1.82933,
        1.92966,
        1.77628,
        1.68058,
        1.64947,
        1.57584,
        1.65458,
        1.68531,
        1.627,
        1.62532,
        1.65581,
        1.6409,
        1.61515,
        1.6014,
        1.65366,
        1.64554,
        1.58344,
        1.47347,
        1.57912,
        1.57696,
        1.6157,
        1.57751,
        1.5985,
        1.60558,
        1.64144,
        1.70459,
        1.75424,
        1.78603,
        1.65488,
        1.54175,
        1.99919,
        1.78015,
        1.72109,
        1.62471,
        1.44515,
        1.58588,
        1.49478,
        1.55498,
        1.58096,
        1.58253,
        1.57748,
        1.53846,
        1.55117,
        1.54289,
        1.55856,
        1.61875,
        1.53588,
        1.49004,
        1.56054,
        1.57961,
        1.5251,
        1.51018,
        1.51793,
        1.53384,
        1.54472,
        1.56525,
        1.50721,
        1.537,
        1.48369,
        1.51177,
        1.48756,
        1.47223,
        1.45302,
        1.48095,
        1.50867,
        1.4673,
        1.47868,
        1.46709,
        1.49744,
        1.47118,
        1.4744,
        1.47555,
        1.52002,
        1.48087,
        1.48567,
        1.5271,
        1.45019,
        1.48088,
        1.51735,
        1.50634,
        1.48375,
        1.48705,
        1.52076,
        1.51546,
        1.52765,
        1.46526,
        1.47942,
        1.47857,
        1.49314,
        1.49705,
        1.4751,
        1.45084,
        1.46948,
        1.48126,
        1.50696,
        1.50859,
        1.47452,
        1.47432,
        1.53518,
        1.53015,
        1.49604,
        1.47189,
        1.50741,
        1.4126,
        1.32939,
        1.36041,
        1.26381,
        1.31155,
        1.35754,
        1.38426,
        1.48053,
        1.51098,
        1.55087,
        1.73822,
        1.63958,
        1.45928,
        1.52096,
        1.24379,
        1.59912,
        1.66183,
        1.73617,
        1.623,
        1.69174,
        1.64913,
        1.72823,
        1.77642,
        1.80277,
        1.68281,
        1.69286,
        1.56905,
        1.45579,
        1.35715,
        1.34391,
        1.29062,
        1.25146,
        1.18297,
        1.11141,
        1.0426,
        1.04348,
        1.22034,
        1.52144,
        1.86658,
        2.10308,
        2.23039,
        2.32691,
        2.30793,
        2.26419,
        2.32744,
        2.35898,
        2.32304,
        2.18952,
        2.10915,
        2.10644,
        2.0656,
        1.95512,
        1.96821,
        1.92155,
        1.88845,
        1.86979,
        1.84517,
        1.80811,
        1.77656,
        1.78689,
        1.75747,
        1.74293,
        1.73849,
        1.71087,
        1.69343,
        1.70415,
        1.70634,
        1.69298,
        1.67308,
        1.67052,
        1.72325,
        1.72373,
        1.67384,
        1.67622,
        1.68281,
        1.68726,
        1.68832,
        1.71448,
        1.66645,
        1.6447,
        1.64795,
        1.63453,
        1.61506,
        1.62609,
        1.62908,
        1.63103,
        1.60961,
        1.59903,
        1.57307,
        1.62657,
        1.62145,
        1.61274,
        1.62968,
        1.65128,
        1.60622,
        1.59937,
        1.6269,
        1.61707,
        1.62126,
        1.61443,
        1.61163,
        1.63926,
        1.64093,
        1.60764,
        1.62029,
        1.60841,
        1.62335,
        1.58528,
        1.63562,
        1.63781,
        1.56782,
        1.58609,
        1.68348,
        1.7595,
        1.60377,
        1.85801,
        1.69164,
        1.74014,
        1.60143,
        1.34101,
        1.60402,
        1.75096,
        1.619,
        1.62051,
        1.60733,
        1.57672,
        1.62341,
        1.66664,
        1.59947,
        1.65318,
        1.59523,
        1.62957,
        1.63863,
        1.59698,
        1.61443,
        1.67453,
        1.70006,
        1.71627,
        1.63483,
        1.65049,
        1.69796,
        1.69706,
        1.67216,
        1.66164,
        1.71707,
        1.66776,
        1.69074,
        1.67891,
        1.65253,
        1.73428,
        1.6773,
        1.68249,
        1.66918,
        1.69631,
        1.67776,
        1.63845,
        1.70117,
        1.6692,
        1.65039,
        1.62557,
        1.58511,
        1.67334,
        1.65131,
        1.62518,
        1.63304,
        1.62819,
        1.63417,
        1.61372,
        1.63167,
        1.62785,
        1.65973,
        1.61427,
        1.60164,
        1.56952,
        1.52639,
        1.60011,
        1.62774,
        1.6833,
        1.65059,
        1.63228,
        1.64349,
        1.68082,
        1.60324,
        1.55659,
        1.58871,
        1.62937,
        1.62049,
        1.62545,
        1.57831,
        1.50643,
        1.63331,
        1.63598,
        1.58957,
        1.54769,
        1.55963,
        1.57514,
        1.59133,
        1.59703,
        1.57645,
        1.5741,
        1.56276,
        1.55068,
        1.49143,
        1.47979,
        1.4328,
        1.41583,
        1.50044,
        1.50708,
        1.52968,
        1.5383,
        1.54607,
        1.56409,
        1.54949,
        1.59815,
        1.52856,
        1.53088,
        1.4455,
        1.49822,
        1.49916,
        1.51409,
        1.46257,
        1.49622,
        1.52218,
        1.45123,
        1.48517,
        1.45273,
        1.49053,
        1.44932,
        1.49132,
        1.47891,
        1.50168,
        1.45079,
        1.45193,
        1.45964,
        1.47827,
        1.44427,
        1.43554,
        1.51712,
        1.53151,
        1.52338,
        1.51106,
        1.50539,
        1.4666,
        1.42974,
        1.47685,
        1.48843,
        1.44757,
        1.43944,
        1.41791,
        1.46055,
        1.50908,
        1.48028,
        1.46149,
        1.40079,
        1.46587,
        1.42342,
        1.49408,
        1.45101,
        1.43857,
        1.42714,
        1.48623,
        1.48131,
        1.43964,
        1.47504,
        1.44541,
        1.45737,
        1.42935,
        1.39685,
        1.41648,
        1.45275,
        1.4799,
        1.45808,
        1.41037,
        1.4753,
        1.43786,
        1.41667,
        1.40105,
        1.4292,
        1.46468,
        1.4728,
        1.37728,
        1.38931,
        1.37709,
        1.40684,
        1.3646,
        1.3894,
        1.43303,
        1.45395,
        1.46206,
        1.45354,
        1.38807,
        1.46897,
        1.4794,
        1.37813,
        1.38092,
        1.40935,
        1.4389,
        1.46283,
        1.45937,
        1.4799,
        1.41658,
        1.39168,
        1.51585,
        1.45996,
        1.49635,
        1.34241,
        1.38843,
        1.47642,
        1.35544,
        1.47572,
        1.38673,
        1.38185,
        1.40113,
        1.34131,
        1.41363,
        1.40842,
        1.37675,
        1.41658,
        1.37645,
        1.42204,
        1.38194,
        1.44465,
        1.4762,
        1.42715,
        1.40846,
        1.44761,
        1.45235,
        1.46185,
        1.37878,
        1.45631,
        1.46409,
        1.47865,
        1.41974,
        1.49845,
        1.48056,
        1.41263,
        1.41616,
        1.38639,
        1.37484,
        1.37526,
        1.45716,
        1.44794,
        1.43497,
        1.41218,
        1.43686,
        1.41976,
        1.42086,
        1.40177,
        1.45018,
        1.46852,
        1.42598,
        1.43596,
        1.38891,
        1.42282,
        1.42882,
        1.36024,
        1.38419,
        1.46028,
        1.47686,
        1.51004,
        1.509,
        1.51006,
        1.4712,
        1.45898,
        1.43642,
        1.46675,
        1.45358,
        1.44923,
        1.47132,
        1.42222,
        1.41503,
        1.43049,
        1.46486,
        1.44256,
        1.45509,
        1.39507,
        1.43065,
        1.4099,
        1.41927,
        1.4696,
        1.46388,
        1.45563,
        1.42506,
        1.45298,
        1.44419,
        1.45069,
        1.45994,
        1.45026,
        1.43189,
        1.41313,
        1.41011,
        1.49005,
        1.50534,
        1.48752,
        1.4802,
        1.44335,
        1.45244,
        1.46738,
        1.5074,
        1.43452,
        1.45386,
        1.42143,
        1.45696,
        1.45985,
        1.49712,
        1.49196,
        1.52013,
        1.47283,
        1.51302,
        1.54632,
        1.46964,
        1.48267,
        1.46892,
        1.45895,
        1.51429,
        1.51527,
        1.47802,
        1.49444,
        1.48526,
        1.52245,
        1.48735,
        1.47428,
        1.51443,
        1.47194,
        1.47899,
        1.46117,
        1.47311,
        1.51448,
        1.47435,
        1.47462,
        1.44799,
        1.47282,
        1.48446,
        1.47807,
        1.53965,
        1.53002,
        1.4674,
        1.50678,
        1.50892,
        1.48823,
        1.42315,
        1.45854,
        1.50689,
        1.53553,
        1.49557,
        1.48701,
        1.54907,
        1.54045,
        1.48988,
        1.53439,
        1.54962,
        1.51055,
        1.48228,
        1.47265,
        1.54408,
        1.5611,
        1.56886,
        1.54525,
        1.5377,
        1.49871,
        1.54563,
        1.54834,
        1.54994,
        1.57858,
        1.58686,
        1.60749,
        1.54581,
        1.52398,
        1.51111,
        1.53083,
        1.53529,
        1.50927,
        1.53848,
        1.55163,
        1.55361,
        1.55054,
        1.56593,
        1.49808,
        1.45068,
        1.59172,
        1.50713,
        1.62405,
        1.5796,
        1.49821,
        1.49732,
        1.50331,
        1.50343,
        1.46593,
        1.41916,
        1.55499,
        1.41679,
        1.44224,
        1.50257,
        1.49212,
        1.65264,
        1.64394,
        1.60583,
        1.45735,
        1.57711,
        1.54592,
        1.47504,
        1.47254,
        1.55754,
        1.45344,
        1.48182,
        1.4466,
        1.49402,
        1.45602,
        1.48279,
        1.42032,
        1.46704,
        1.46077,
        1.52488,
        1.51724,
        1.58245,
        1.47587,
        1.4554,
        1.4227,
        1.48272,
        1.40375,
        1.31584,
        1.28951,
        1.3162,
        1.26459,
        1.44427,
        1.35886,
        1.47707,
        1.54386,
        1.65894,
        1.61894,
        1.47627,
        1.66404,
        1.63752,
        2.06537,
        1.55037,
        1.67373,
        1.85976,
        1.90778,
        1.76027,
        1.80903,
        2.08734,
        1.99573,
        2.14631,
        2.41932,
        1.21322,
        1.47314,
        1.75826,
        1.99363,
        2.21725,
        2.4437,
        2.43726,
        2.48927,
        2.30464,
        2.41555,
        2.35411,
        2.31679,
        2.2564,
        2.23221,
        2.15494,
        2.11099,
        2.01422,
        1.95701,
        1.97712,
        1.96238,
        1.91652,
        1.8936,
        1.92779,
        1.82734,
        1.81307,
        1.79135,
        1.80632,
        1.74321,
        1.73666,
        1.79297,
        1.74118,
        1.76389,
        1.70294,
        1.68672,
        1.70632,
        1.73008,
        1.73974,
        1.66624,
        1.74941,
        1.69707,
        1.57573,
        1.66864,
        1.68763,
        1.68551,
        1.69017,
        1.67664,
        1.68774,
        1.65006,
        1.59705,
        1.62438,
        1.70967,
        1.63913,
        1.60318,
        1.63915,
        1.6602,
        1.62096,
        1.55835,
        1.58292,
        1.57288,
        1.57101,
        1.58839,
        1.55601,
        1.56456,
        1.5637,
        1.5736,
        1.58072,
        1.59653,
        1.5914,
        1.58045,
        1.62237,
        1.5906,
        1.56895,
        1.58448,
        1.52017,
        1.55491,
        1.64589,
        1.63718,
        1.65193,
        1.64109,
        1.57353,
        1.60632,
        1.55618,
        1.53607,
        1.66731,
        1.632,
        1.59511,
        1.61499,
        1.67451,
        1.67757,
        1.68214,
        1.67793,
        1.75325,
        1.68568,
        1.74217,
        1.70388,
        1.67653,
        1.69541,
        1.6625,
        1.59456,
        1.65261,
        1.70297,
        1.64636,
        1.62071,
        1.58667,
        1.68761,
        1.67552,
        1.68769,
        1.65396,
        1.54279,
        1.5673,
        1.58029,
        1.66482,
        1.64145,
        1.76412,
        1.76707,
        1.71813,
        1.68042,
        1.72368,
        1.68308,
        1.51962,
        1.54215,
        1.73959,
        1.66785,
        1.61043,
        1.62663,
        1.47277,
        1.60816,
        1.63533,
        1.72018,
        1.71246,
        1.62386,
        1.7548,
        1.45026,
        1.75952,
        1.50096,
        1.41291,
        1.59558,
        1.41959,
        1.57538,
        1.64647,
        1.60241,
        1.61074,
        1.62535,
        1.53337,
        1.49108,
        1.57831,
        1.50693,
        1.39659,
        1.398,
        1.41974,
        1.51066,
        1.49808,
        1.46969,
        1.56749,
        1.46718,
        1.4419,
        1.49089,
        1.42714,
        1.49525,
        1.46525,
        1.55185,
        1.52689,
        1.46394,
        1.41132,
        1.43806,
        null,
        1.75418,
        1.78663,
        1.77865,
        1.69649,
        1.67,
        1.88852,
        1.98776,
        1.78508,
        1.62441,
        1.65861,
        1.46278,
        1.5204,
        1.44655,
        1.37464,
        1.46521,
        1.56472,
        1.60496,
        1.63662,
        1.83522,
        1.72413,
        1.60167,
        1.39349,
        1.31192,
        1.32833,
        1.54548,
        1.71611,
        1.79044,
        1.67945,
        null,
        1.65552,
        1.7848,
        1.63734,
        1.54,
        1.55678,
        1.64484,
        1.65855,
        1.55597,
        1.52493,
        1.56499,
        1.591,
        1.56699,
        1.60001,
        1.59434,
        1.61624,
        1.61141,
        1.53583,
        1.48746,
        1.61447,
        1.62708,
        1.63121,
        1.69153,
        1.61647,
        1.54243,
        1.54186,
        1.56651,
        1.59456,
        1.58904,
        1.55689,
        1.56755,
        1.57423,
        1.53267,
        1.51484,
        1.53644,
        1.48063,
        1.4768,
        1.46177,
        1.4577,
        1.49265,
        1.48037,
        1.51916,
        1.53173,
        1.50312,
        1.52593,
        1.51613,
        1.46334,
        1.46986,
        1.51007,
        1.51022,
        1.5104,
        1.54415,
        1.56844,
        1.53997,
        1.49074,
        1.54723,
        1.59059,
        1.43969,
        1.50615,
        1.53294,
        1.51669,
        1.52462,
        1.51264,
        1.5167,
        1.5338,
        1.53441,
        1.50407,
        1.49089,
        1.54028,
        1.49302,
        1.51108,
        1.49088,
        1.48679,
        1.46367,
        1.43955,
        1.49041,
        1.5356,
        1.52208,
        1.50453,
        1.46823,
        1.48721,
        1.48431,
        1.48586,
        1.5085,
        1.46864,
        1.4902,
        1.49585,
        1.50613,
        1.45091,
        1.42345,
        1.4062,
        1.41923,
        1.45093,
        1.47554,
        1.47413,
        1.50876,
        1.47415,
        1.4601,
        1.51612,
        1.49191,
        1.42068,
        1.46751,
        1.4087,
        1.44047,
        1.45825,
        1.49624,
        1.46879,
        1.44448,
        1.44555,
        1.4672,
        1.52093,
        1.48912,
        1.46191,
        1.4557,
        1.50866,
        1.47802,
        1.47498,
        1.44812,
        1.4511,
        1.47919,
        1.4685,
        1.45622,
        1.47775,
        1.50246,
        1.51758,
        1.49427,
        1.4974,
        1.50921,
        1.51782,
        1.49683,
        1.52414,
        1.49179,
        1.4624,
        1.47621,
        1.47714,
        1.47812,
        1.48113,
        1.45771,
        1.47054,
        1.45794,
        1.47476,
        1.49252,
        1.50843,
        1.53968,
        1.48295,
        1.43927,
        1.44951,
        1.48162,
        1.48557,
        1.45071,
        1.4706,
        1.47503,
        1.44033,
        1.43422,
        1.43966,
        1.49992,
        1.50065,
        1.46678,
        1.44489,
        1.5019,
        1.47253,
        1.5065,
        1.48393,
        1.45648,
        1.4261,
        1.47298,
        1.44341,
        1.35116,
        1.42024,
        1.41856,
        1.42683,
        1.52196,
        1.49667,
        1.50384,
        1.48473,
        1.46663,
        1.49179,
        1.4802,
        1.51644,
        1.52726,
        1.51056,
        1.49924,
        1.48571,
        1.4922,
        1.51667,
        1.50131,
        1.5591,
        1.51913,
        1.46745,
        1.50049,
        1.53241,
        1.53289,
        1.57536,
        1.5815,
        1.53723,
        1.5553,
        1.55506,
        1.56472,
        1.5153,
        1.53315,
        1.56315,
        1.54163,
        1.55086,
        1.5825,
        1.55381,
        1.58347,
        1.5682,
        1.56363,
        1.54332,
        1.54407,
        1.54441,
        1.57985,
        1.56028,
        1.57185,
        1.59178,
        1.57149,
        1.52379,
        1.51545,
        1.54715,
        1.54464,
        1.53569,
        1.50741,
        1.52665,
        1.52891,
        1.52185,
        1.5159,
        1.53788,
        1.56079,
        1.5075,
        1.51453,
        1.50781,
        1.41668,
        1.49619,
        1.52316,
        1.48204,
        1.52966,
        1.58147,
        1.55387,
        1.53127,
        1.57322,
        1.57303,
        1.64381,
        1.62439,
        1.61192,
        1.59686,
        1.5886,
        1.59367,
        1.58181,
        1.56454,
        1.58868,
        1.59366,
        1.66652,
        1.58127,
        1.65499,
        1.5932,
        1.61407,
        1.639,
        1.62434,
        1.49871,
        1.58415,
        1.56356,
        1.52617,
        1.61722,
        1.57595,
        1.67075,
        1.57078,
        1.67551,
        1.80256,
        1.72656,
        1.74263,
        1.90792,
        1.97594,
        2.0996,
        1.78731,
        1.82398,
        1.85067,
        1.83568,
        1.74586,
        1.75607,
        1.69773,
        1.75654,
        1.71101,
        1.59302,
        1.57815,
        1.55681,
        1.60274,
        1.71823,
        1.74856,
        1.63446,
        1.6789,
        1.64078,
        1.53888,
        1.58283,
        1.61342,
        1.54735,
        1.61975,
        1.5406,
        1.53908,
        1.54666,
        1.60977,
        1.60324,
        1.51678,
        1.52592,
        1.51638,
        1.46164,
        1.51215,
        1.46312,
        1.49035,
        1.58061,
        1.49455,
        1.57679,
        1.5901,
        1.56147,
        1.7325,
        1.54976,
        1.46521,
        1.28566,
        1.43566,
        1.54695,
        1.43112,
        1.45967,
        1.50938,
        1.4606,
        1.45015,
        1.46499,
        1.5229,
        1.50494,
        1.49163,
        1.4761,
        1.43315,
        1.47287,
        1.46449,
        1.5502,
        1.51143,
        1.48752,
        1.53064,
        1.452,
        1.47758,
        1.483,
        1.47605,
        1.47128,
        1.47845,
        1.46391,
        1.44569,
        1.47204,
        1.52146,
        1.49816,
        1.52583,
        1.51061,
        1.49614,
        1.52849,
        1.48842,
        1.49303,
        1.47442,
        1.46952,
        1.41887,
        1.35739,
        1.33294,
        1.2882,
        1.23874,
        1.29072,
        1.32557,
        1.41373,
        1.53071,
        1.65045,
        1.73915,
        1.77351,
        1.75065,
        1.75021,
        1.7678,
        1.65997,
        1.70895,
        1.77982,
        1.76571,
        1.74447,
        1.79,
        1.81393,
        1.84571,
        1.78966,
        1.6775,
        1.55873,
        1.47737,
        1.35704,
        1.36831,
        1.33895,
        1.30283,
        1.16918,
        1.09468,
        1.21609,
        1.47803,
        1.77975,
        2.07107,
        2.25851,
        2.29564,
        2.3575,
        2.34798,
        2.32893,
        2.29289,
        2.31491,
        2.28522,
        2.20734,
        2.21543,
        2.1863,
        2.12125,
        2.05851,
        2.09734,
        2.06912,
        1.9587,
        1.99368,
        1.97483,
        1.92907,
        1.91245,
        1.90351,
        1.88475,
        1.88506,
        1.87663,
        1.82487,
        1.8729,
        1.86311,
        1.84726,
        1.82557,
        1.79833,
        1.80663,
        1.84952,
        1.81353,
        1.80699,
        1.80938,
        1.81903,
        1.84133,
        1.79994,
        1.77565,
        1.77873,
        1.78533,
        1.76202,
        1.72936,
        1.73865,
        1.72399,
        1.76994,
        1.82148,
        1.80044,
        1.76223,
        1.68165,
        1.72594,
        1.68846,
        1.92863,
        2.06243,
        2.02038,
        1.8754,
        1.90346,
        1.87068,
        1.82667,
        1.94882,
        1.86126,
        1.81106,
        1.77319,
        1.80711,
        1.76237,
        1.62842,
        1.61594,
        1.68578,
        1.68056,
        1.6162,
        1.59468,
        1.63914,
        1.6043,
        1.63728,
        1.5782,
        1.57518,
        1.56716,
        1.55133,
        1.5744,
        1.55276,
        1.52829,
        1.56628,
        1.54762,
        1.51795,
        1.52405,
        1.59306,
        1.53361,
        1.52197,
        1.48105,
        1.42761,
        1.4172,
        1.51667,
        1.57614,
        1.54335,
        1.69118,
        1.57353,
        1.47297,
        1.30079,
        1.50531,
        1.41014,
        1.51398,
        1.46099,
        1.38615,
        1.4703,
        1.58865,
        1.50263,
        1.51773,
        1.56307,
        1.50043,
        1.46773,
        1.48405,
        1.48563,
        1.48588,
        1.50268,
        1.48494,
        1.52832,
        1.52126,
        1.50997,
        1.47455,
        1.48965,
        1.48433,
        1.45528,
        1.43339,
        1.50105,
        1.41787,
        1.42578,
        1.46211,
        1.46894,
        1.4823,
        1.43353,
        1.47021,
        1.4544,
        1.42793,
        1.45291,
        1.47658,
        1.4863,
        1.4736,
        1.45143,
        1.45356,
        1.4875,
        1.48492,
        1.44663,
        1.42853,
        1.42553,
        1.43779,
        1.45968,
        1.47987,
        1.46942,
        1.498,
        1.48953,
        1.46224,
        1.50767,
        1.4624,
        1.40931,
        1.48665,
        1.55606,
        1.49096,
        1.48685,
        1.48989,
        1.49245,
        1.49465,
        1.50686,
        1.56812,
        1.52859,
        1.45687,
        1.54221,
        1.51653,
        1.50628,
        1.49528,
        1.51008,
        1.48463,
        1.45451,
        1.49997,
        1.55074,
        1.52586,
        1.46439,
        1.48651,
        1.47199,
        1.46637,
        1.48195,
        1.48954,
        1.51646,
        1.46567,
        1.45189,
        1.47343,
        1.50743,
        1.48301,
        1.50936,
        1.52207,
        1.52705,
        1.5645,
        1.55303,
        1.53405,
        1.53772,
        1.54559,
        1.53021,
        1.53318,
        1.50688,
        1.50414,
        1.53164,
        1.56626,
        1.56219,
        1.53649,
        1.53024,
        1.54346,
        1.50386,
        1.50817,
        1.5216,
        1.52035,
        1.5195,
        1.49421,
        1.54216,
        1.5333,
        1.53972,
        1.53039,
        1.5161,
        1.54134,
        1.49413,
        1.52032,
        1.56589,
        1.53266,
        1.52746,
        1.57108,
        1.53671,
        1.57224,
        1.54617,
        1.53516,
        1.51598,
        1.54652,
        1.57157,
        1.56106,
        1.56182,
        1.56941,
        1.57139,
        1.5305,
        1.57118,
        1.54058,
        1.55454,
        1.57484,
        1.55334,
        1.51739,
        1.54482,
        1.53613,
        1.56009,
        1.5417,
        1.57421,
        1.55174,
        1.56201,
        1.50434,
        1.50667,
        1.51419,
        1.58366,
        1.55065,
        1.5374,
        1.54214,
        1.4754,
        1.51833,
        1.58221,
        1.55348,
        1.6091,
        1.58879,
        1.51145,
        1.50584,
        1.46429,
        1.47634,
        1.64801,
        1.62326,
        1.50118,
        1.73532,
        1.46229,
        1.42001,
        1.45772,
        1.40403,
        1.45533,
        1.50836,
        1.53024,
        1.43797,
        1.43182,
        1.44449,
        1.43235,
        1.45064,
        1.50425,
        1.395,
        1.43343,
        1.46847,
        1.40121,
        1.42437,
        1.4184,
        1.42752,
        1.44068,
        1.41158,
        1.36507,
        1.38114,
        1.44222,
        1.41061,
        1.44052,
        1.47201,
        1.46747,
        1.40086,
        1.42986,
        1.45875,
        1.44949,
        1.44129,
        1.45866,
        1.47173,
        1.41288,
        1.3961,
        1.39954,
        1.41153,
        1.45265,
        1.40216,
        1.39732,
        1.40109,
        1.42632,
        1.44229,
        1.44817,
        1.4808,
        1.42483,
        1.3893,
        1.41804,
        1.45805,
        1.44767,
        1.4242,
        1.3853,
        1.42111,
        1.45905,
        1.42233,
        1.40614,
        1.38909,
        1.45,
        1.4981,
        1.44842,
        1.44294,
        1.45241,
        1.44316,
        1.41259,
        1.39461,
        1.38757,
        1.36671,
        1.39157,
        1.44297,
        1.40508,
        1.41078,
        1.46084,
        1.42905,
        1.40867,
        1.39819,
        1.44307,
        1.43786,
        1.4463,
        1.425,
        1.40828,
        1.4084,
        1.41553,
        1.42554,
        1.45672,
        1.41519,
        1.41437,
        1.41579,
        1.41323,
        1.43874,
        1.41104,
        1.39334,
        1.43495,
        1.41025,
        1.41615,
        1.43928,
        1.44315,
        1.41372,
        1.43508,
        1.4357,
        1.4502,
        1.49325,
        1.47178,
        1.45069,
        1.47938,
        1.46133,
        1.49234,
        1.48291,
        1.45445,
        1.46466,
        1.48697,
        1.50345,
        1.49543,
        1.48201,
        1.5396,
        1.49797,
        1.53048,
        1.47667,
        1.4633,
        1.49673,
        1.47254,
        1.46985,
        1.49843,
        1.46933,
        1.50438,
        1.4814,
        1.44366,
        1.46418,
        1.46279,
        1.48367,
        1.51615,
        1.52091,
        1.5875,
        1.56833,
        1.5546,
        1.60755,
        1.56204,
        1.54725,
        1.54489,
        1.48,
        1.53778,
        1.52708,
        1.56176,
        1.59008,
        1.54848,
        1.51584,
        1.51718,
        1.50895,
        1.53683,
        1.47278,
        1.47801,
        1.50379,
        1.49444,
        1.51162,
        1.48133,
        1.49791,
        1.5269,
        1.54048,
        1.43774,
        1.41979,
        1.4587,
        1.44237,
        1.53488,
        1.61551,
        1.53821,
        1.62527,
        1.61242,
        1.395,
        1.60975,
        1.46545,
        1.45911,
        1.4649,
        1.37653,
        1.37931,
        1.37479,
        1.45583,
        1.38274,
        1.29646,
        1.29165,
        1.29248,
        1.33635,
        1.38077,
        1.39695,
        1.40612,
        1.44407,
        1.53434,
        1.55918,
        1.57491,
        1.59932,
        1.68398,
        1.59602,
        1.54619,
        1.57468,
        1.59234,
        1.66348,
        1.70063,
        1.7237,
        1.73027,
        1.76492,
        1.82285,
        1.76812,
        1.69177,
        1.51304,
        1.35586,
        1.41965,
        1.41554,
        1.39581,
        1.29286,
        1.18896,
        1.13928,
        1.21688,
        1.44527,
        1.7116,
        2.03883,
        2.22409,
        2.27147,
        2.21147,
        2.32323,
        2.31886,
        2.28178,
        2.25877,
        2.28421,
        2.26702,
        2.17071,
        2.12475,
        2.05601,
        1.99914,
        1.97831,
        1.8887,
        1.88161,
        1.84987,
        1.8348,
        1.79129,
        1.81283,
        1.79287,
        1.74324,
        1.74703,
        1.80259,
        1.73937,
        1.72108,
        1.71631,
        1.72128,
        1.65816,
        1.65233,
        1.66222,
        1.63624,
        1.59713,
        1.59125,
        1.57324,
        1.60207,
        1.68744,
        1.66131,
        1.63657,
        1.60281,
        1.62613,
        1.6493,
        1.63613,
        1.62923,
        1.61722,
        1.61126,
        1.60511,
        1.60008,
        1.56492,
        1.59213,
        1.57267,
        1.56047,
        1.54715,
        1.56383,
        1.60122,
        1.571,
        1.50459,
        1.48562,
        1.51212,
        1.4992,
        1.55835,
        1.57289,
        1.57078,
        1.54378,
        1.50527,
        1.51022,
        1.53509,
        1.51597,
        1.48488,
        1.47577,
        1.48563,
        1.51118,
        1.48513,
        1.52373,
        1.48259,
        1.5239,
        1.54077,
        1.52635,
        1.49669,
        1.49369,
        1.48647,
        1.50224,
        1.50801,
        1.51035,
        1.49734,
        1.46449,
        1.42775,
        1.47675,
        1.54722,
        1.51375,
        1.50517,
        1.4672,
        1.43543,
        1.48221,
        1.49173,
        1.51421,
        1.53276,
        1.54005,
        1.50045,
        1.5093,
        1.48675,
        1.51795,
        1.50492,
        1.53578,
        1.49193,
        1.46157,
        1.48414,
        1.53107,
        1.49632,
        1.51815,
        1.59578,
        1.54646,
        1.57415,
        1.53133,
        1.48435,
        1.41199,
        1.48398,
        1.55182,
        1.55179,
        1.51481,
        1.54324,
        1.40413,
        1.54554,
        1.58485,
        1.53629,
        1.67509,
        1.55315,
        1.54882,
        1.68621,
        1.59283,
        1.39314,
        1.45358,
        1.46673,
        1.56242,
        1.53497,
        1.50484,
        1.50276,
        1.53207,
        1.49871,
        1.48276,
        1.45619,
        1.49432,
        1.51355,
        1.47872,
        1.51668,
        1.51205,
        1.50137,
        1.51133,
        1.51668,
        1.5073,
        1.51942,
        1.49124,
        1.42622,
        1.47636,
        1.54226,
        1.50798,
        1.53485,
        1.56905,
        1.52562,
        1.52497,
        1.53718,
        1.5399,
        1.49908,
        1.53539,
        1.51496,
        1.52016,
        1.55668,
        1.59294,
        1.61701,
        1.60779,
        1.59671,
        1.51943,
        1.51378,
        1.60792,
        1.6205,
        1.61616,
        1.58147,
        1.60264,
        1.58594,
        1.59536,
        1.54271,
        1.55694,
        1.5636,
        1.55849,
        1.55236,
        1.5375,
        1.55216,
        1.54123,
        1.55319,
        1.5637,
        1.56999,
        1.55107,
        1.49278,
        1.51466,
        1.57126,
        1.61099,
        1.63021,
        1.58741,
        1.55672,
        1.53829,
        1.54086,
        1.53432,
        1.53822,
        1.54971,
        1.51031,
        1.56559,
        1.55362,
        1.56647,
        1.55689,
        1.55118,
        1.53671,
        1.54385,
        1.52213,
        1.48892,
        1.5695,
        1.56239,
        1.54897,
        1.55577,
        1.55489,
        1.60668,
        1.52896,
        1.50042,
        1.53659,
        1.52505,
        1.49515,
        1.50159,
        1.47698,
        1.51787,
        1.53169,
        1.52887,
        1.50262,
        1.50641,
        1.49989,
        1.49857,
        1.48774,
        1.51201,
        1.53686,
        1.5949,
        1.54466,
        1.56253,
        1.50371,
        1.44792,
        1.4553,
        1.46695,
        1.55354,
        1.51064,
        1.46335,
        1.50996,
        1.52563,
        1.52265,
        1.46559,
        1.41057,
        1.46073,
        1.46335,
        1.47822,
        1.54902,
        1.50088,
        1.44953,
        1.51081,
        1.46807,
        1.50718,
        1.53233,
        1.58833,
        1.51419,
        1.52713,
        1.54207,
        1.58797,
        1.53472,
        1.51132,
        1.52962,
        1.50376,
        1.49292,
        1.49071,
        1.49785,
        1.48934,
        1.48582,
        1.58006,
        1.6062,
        1.64431,
        1.67779,
        1.61053,
        1.50077,
        1.65822,
        1.7566,
        1.54939,
        1.65827,
        1.65758,
        1.56346,
        1.49685,
        1.59618,
        1.70991,
        1.57177,
        1.76523,
        1.4997,
        1.61771,
        1.65472,
        2.33,
        2.11212,
        2.43931,
        1.83047,
        1.96023,
        2.01389,
        1.82298,
        1.75368,
        1.88942,
        1.90552,
        1.76287,
        1.82695,
        1.66252,
        1.64506,
        1.63103,
        1.62905,
        1.6558,
        1.76445,
        1.78948,
        1.73162,
        1.77255,
        1.78613,
        1.7729,
        1.87056,
        1.90556,
        1.8234,
        1.76714,
        1.77841,
        1.73369,
        1.80148,
        1.77303,
        1.77282,
        1.80504,
        1.841,
        1.76699,
        1.9847,
        1.80326,
        1.74828,
        1.79076,
        1.64995,
        1.78062,
        1.73114,
        1.76424,
        1.87958,
        1.89396,
        1.71808,
        1.52138,
        1.63865,
        1.69938,
        1.70245,
        1.946,
        2.03022,
        1.93098,
        1.71559,
        1.7909,
        1.76164,
        1.71903,
        1.68158,
        2.02314,
        2.11695,
        2.19494,
        2.12206,
        1.81811,
        2.0175,
        2.05131,
        2.09712,
        2.93488,
        2.27223,
        2.15545,
        2.18361,
        2.08308,
        2.09607,
        2.09692,
        2.15231,
        2.08566,
        2.20943,
        1.73901,
        1.80155,
        1.68148,
        1.65914,
        1.58274,
        1.5732,
        1.50506,
        1.44434,
        1.29637,
        1.14162,
        1.21467,
        1.36883,
        1.49808,
        1.8216,
        1.98915,
        2.27647,
        2.44018,
        2.34289,
        2.37847,
        2.35295,
        2.42267,
        2.41695,
        2.34588,
        2.23501,
        2.2032,
        2.20234,
        2.1944,
        2.05066,
        2.02136,
        1.97581,
        1.96399,
        1.85374,
        1.91702,
        1.82968,
        1.85658,
        1.74525,
        1.81532,
        1.79477,
        1.76031,
        1.80804,
        1.75663,
        1.69232,
        1.73096,
        1.65477,
        1.67928,
        1.66483,
        1.70743,
        1.6292,
        1.73225,
        1.68766,
        1.6388,
        1.65636,
        1.58968,
        1.56553,
        1.63058,
        1.62456,
        1.69483,
        1.67693,
        1.68379,
        1.61952,
        1.5952,
        1.63989,
        1.56678,
        1.58539,
        1.60086,
        1.52204,
        1.54026,
        1.55889,
        1.49065,
        1.54825,
        1.5598,
        1.58311,
        1.55735,
        1.54984,
        1.49123,
        1.52309,
        1.52709,
        1.48042,
        1.4512,
        1.46759,
        1.46656,
        1.46721,
        1.49902,
        1.45295,
        1.53361,
        1.52967,
        1.49555,
        1.47597,
        1.4748,
        1.45284,
        1.47956,
        1.44225,
        1.45814,
        1.41766,
        1.46017,
        1.40106,
        1.48215,
        1.47134,
        1.45611,
        1.45858,
        1.48438,
        1.48563,
        1.48889,
        1.47874,
        1.45502,
        1.42635,
        1.42369,
        1.42099,
        1.38292,
        1.37247,
        1.45443,
        1.40126,
        1.47069,
        1.48172,
        1.46267,
        1.51486,
        1.44466,
        1.52573,
        1.52025,
        1.45655,
        1.44816,
        1.51352,
        1.53461,
        1.4362,
        1.42081,
        1.46825,
        1.52804,
        1.48505,
        1.47082,
        1.55825,
        1.45669,
        1.49472,
        1.54346,
        1.49858,
        1.55529,
        1.47636,
        1.48944,
        1.51877,
        1.49057,
        1.52366,
        1.50499,
        1.49126,
        1.51722,
        1.49596,
        1.50107,
        1.58602,
        1.51919,
        1.50675,
        1.58661,
        1.5844,
        1.59417,
        1.54369,
        1.6087,
        1.59629,
        1.64768,
        1.63854,
        1.68092,
        1.55876,
        1.54504,
        1.55146,
        1.56914,
        1.56619,
        1.52026,
        1.55167,
        1.48592,
        1.55861,
        1.63282,
        1.64321,
        1.7172,
        1.71748,
        1.78109,
        1.30836,
        1.40128,
        1.49476,
        1.49481,
        1.45453,
        1.59189,
        1.60483,
        1.63319,
        1.61584,
        1.57495,
        1.61557,
        1.52911,
        1.41113,
        1.47033,
        1.51141,
        1.55989,
        1.50346,
        1.43903,
        1.38818,
        1.47867,
        1.554,
        1.57488,
        1.54167,
        1.47144,
        1.52305,
        1.4409,
        1.4582,
        1.58928,
        1.53758,
        1.51079,
        1.46184,
        1.46534,
        1.51171,
        1.51487,
        1.46324,
        1.49563,
        1.53723,
        1.52072,
        1.51138,
        1.46256,
        1.5281,
        1.51085,
        1.51877,
        1.48616,
        1.51361,
        1.51824,
        1.48024,
        1.46176,
        1.43983,
        1.49045,
        1.46743,
        1.56417,
        1.58184,
        1.51334,
        1.54529,
        1.48026,
        1.57654,
        1.46063,
        1.53848,
        1.56273,
        1.56581,
        1.49207,
        1.48575,
        1.51472,
        1.47189,
        1.50117,
        1.46811,
        1.49677,
        1.55594,
        1.48436,
        1.49899,
        1.536,
        1.56984,
        1.55324,
        1.55034,
        1.5148,
        1.50838,
        1.54872,
        1.53484,
        1.60848,
        1.55519,
        1.54334,
        1.55794,
        1.57511,
        1.55785,
        1.57831,
        1.57659,
        1.55597,
        1.5432,
        1.59578,
        1.51122,
        1.55002,
        1.5419,
        1.48662,
        1.49724,
        1.48271,
        1.4648,
        1.54654,
        1.47583,
        1.46666,
        1.45167,
        1.4996,
        1.51964,
        1.53621,
        1.59142,
        1.49806,
        1.4663,
        1.47368,
        1.54415,
        1.50863,
        1.47263,
        1.49773,
        1.47145,
        1.47502,
        1.54964,
        1.5425,
        1.49821,
        1.47826,
        1.51648,
        1.54912,
        1.51138,
        1.48967,
        1.50995,
        1.42306,
        1.49529,
        1.5234,
        1.46859,
        1.50769,
        1.49449,
        1.53742,
        1.59723,
        1.57062,
        1.58676,
        1.48298,
        1.53996,
        1.56287,
        1.53387,
        1.57899,
        1.59317,
        1.48615,
        1.58693,
        1.52174,
        1.56366,
        1.50103,
        1.56952,
        1.57241,
        1.53205,
        1.59298,
        1.5311,
        1.5245,
        1.54895,
        1.53928,
        1.5848,
        1.67899,
        1.66716,
        1.62961,
        1.64597,
        1.58384,
        1.67155,
        1.5832,
        1.47164,
        1.59957,
        1.53019,
        1.4628,
        1.47597,
        1.54382,
        1.49655,
        1.45974,
        1.7189,
        1.50285,
        1.39155,
        1.52143,
        1.34331,
        1.76881,
        null,
        1.54699,
        1.53941,
        1.60366,
        1.59458,
        1.58839,
        1.63353,
        1.6052,
        1.58824,
        1.59011,
        1.56223,
        1.57017,
        1.61936,
        1.64927,
        1.63795,
        1.61196,
        1.62471,
        1.61195,
        1.59256,
        1.53334,
        1.51102,
        1.55948,
        1.56694,
        1.59007,
        1.563,
        1.54514,
        1.56084,
        1.54259,
        1.56725,
        1.54986,
        1.55468,
        1.55997,
        1.53904,
        1.53469,
        1.58733,
        1.58816,
        1.59795,
        1.54701,
        1.57432,
        1.56938,
        1.5803,
        1.59173,
        1.52613,
        1.5308,
        1.54322,
        1.5624,
        1.53111,
        1.55368,
        1.50854,
        1.50713,
        1.47884,
        1.52368,
        1.46942,
        1.47805,
        1.49149,
        1.4822,
        1.49782,
        1.5106,
        1.49977,
        1.45702,
        1.49558,
        1.45214,
        1.46701,
        1.4727,
        1.50973,
        1.45836,
        1.45315,
        1.4854,
        1.5019,
        1.49553,
        1.50031,
        1.49613,
        1.52927,
        1.52604,
        1.5045,
        1.46316,
        1.56012,
        1.5684,
        1.49255,
        1.40045,
        1.38123,
        1.49933,
        1.5285,
        1.55557,
        1.36399,
        1.54521,
        1.72066,
        1.48023,
        1.63644,
        1.58965,
        1.48435,
        1.406,
        1.41131,
        1.345,
        1.3797,
        1.51254,
        1.42669,
        1.44909,
        1.42883,
        1.44304,
        1.41365,
        1.4495,
        1.51377,
        1.50617,
        1.4882,
        1.41765,
        1.41322,
        1.47941,
        1.42587,
        1.41632,
        1.45635,
        1.47235,
        1.47829,
        1.43058,
        1.41003,
        1.41226,
        1.4996,
        1.45887,
        1.4341,
        1.45247,
        1.46349,
        1.47126,
        1.52065,
        1.51048,
        1.47869,
        1.51502,
        1.51113,
        1.52929,
        1.50375,
        1.51674,
        1.4737,
        1.51301,
        1.5235,
        1.50791,
        1.50303,
        1.50549,
        1.52598,
        1.52279,
        1.51391,
        1.49543,
        1.52793,
        1.51394,
        1.54981,
        1.54451,
        1.52747,
        1.53707,
        1.51871,
        1.58619,
        1.57339,
        1.53532,
        1.5406,
        1.53101,
        1.51083,
        1.48237,
        1.49132,
        1.54035,
        1.5275,
        1.47169,
        1.46762,
        1.52317,
        1.51441,
        1.47526,
        1.48796,
        1.50129,
        1.49237,
        1.46389,
        1.46103,
        1.5007,
        1.50356,
        1.51787,
        1.4755,
        1.46322,
        1.4917,
        1.52799,
        1.49912,
        1.50448,
        1.51331,
        1.5266,
        1.50266,
        1.51854,
        1.54989,
        1.50667,
        1.45304,
        1.47073,
        1.49004,
        1.49927,
        1.46026,
        1.43874,
        1.45735,
        1.44429,
        1.48477,
        1.47392,
        1.4397,
        1.44434,
        1.48811,
        1.45493,
        1.4127,
        1.41235,
        1.43957,
        1.42992,
        1.40909,
        1.4596,
        1.45148,
        1.42514,
        1.45134,
        1.46517,
        1.46717,
        1.47482,
        1.51137,
        1.48071,
        1.48304,
        1.45506,
        1.45516,
        1.45401,
        1.46105,
        1.49086,
        1.48232,
        1.4594,
        1.46789,
        1.4715,
        1.45225,
        1.49344,
        1.40623,
        1.38531,
        1.42296,
        1.45556,
        1.45252,
        1.4995,
        1.44066,
        1.45279,
        1.42076,
        1.46844,
        1.38095,
        1.42447,
        1.50394,
        1.49321,
        1.48923,
        1.31285,
        1.41995,
        1.468,
        1.46209,
        1.42848,
        1.36814,
        1.45768,
        1.47723,
        1.46964,
        1.46036,
        1.48392,
        1.41879,
        1.46144,
        1.4642,
        1.46246,
        1.48351,
        1.47107,
        1.40498,
        1.39743,
        1.4697,
        1.45115,
        1.44388,
        1.48033,
        1.50333,
        1.47502,
        1.43581,
        1.49451,
        1.45613,
        1.47323,
        1.46392,
        1.46334,
        1.50937,
        1.49677,
        1.48858,
        1.45688,
        1.46929,
        1.46685,
        1.49352,
        1.47181,
        1.4738,
        1.4858,
        1.47594,
        1.43655,
        1.43682,
        1.48167,
        1.47267,
        1.481,
        1.4826,
        1.49505,
        1.5253,
        1.48121,
        1.4803,
        1.4723,
        1.48475,
        1.48226,
        1.47793,
        1.53198,
        1.51283,
        1.46262,
        1.52551,
        1.56736,
        1.55811,
        1.59568,
        1.5935,
        1.54813,
        1.53401,
        1.5556,
        1.54525,
        1.57333,
        1.61403,
        1.59631,
        1.62141,
        1.60308,
        1.62952,
        1.61513,
        1.62178,
        1.62888,
        1.63236,
        1.62694,
        1.62222,
        1.60958,
        1.66317,
        1.66407,
        1.69175,
        1.64314,
        1.66234,
        1.70044,
        1.68676,
        1.63629,
        1.65101,
        1.68095,
        1.67431,
        1.70032,
        1.66012,
        1.66622,
        1.66802,
        1.60264,
        1.64741,
        1.62108,
        1.65428,
        1.63799,
        1.65377,
        1.59966,
        1.61181,
        1.62371,
        1.65532,
        1.64682,
        1.57683,
        1.662,
        1.6255,
        1.62235,
        1.63876,
        1.64787,
        1.63839,
        1.59992,
        1.58853,
        1.60408,
        1.61941,
        1.58637,
        1.59156,
        1.60557,
        1.61058,
        1.58067,
        1.57969,
        1.54656,
        1.5579,
        1.551,
        1.41869,
        1.43807,
        1.39613,
        1.3584,
        1.42774,
        1.54558,
        1.50283,
        1.50627,
        1.65449,
        1.71108,
        1.73366,
        1.72453,
        1.72059,
        1.69722,
        1.64188,
        1.62889,
        1.64905,
        1.67804,
        1.78095,
        1.71014,
        1.73973,
        1.74705,
        1.7697,
        1.80266,
        1.63416,
        1.58015,
        1.56723,
        1.62774,
        1.69359,
        1.5502,
        1.41238,
        2.60813,
        2.10203,
        1.97726,
        1.93519,
        2.01135,
        1.85279,
        1.85468,
        1.75193,
        1.85865,
        1.8979,
        1.88338,
        1.8067,
        1.75821,
        1.79169,
        1.76393,
        1.73947,
        1.7523,
        1.72652,
        1.72703,
        1.74528,
        1.73734,
        1.72174,
        1.7425,
        1.69399,
        1.66936,
        1.66599,
        1.65999,
        1.65153,
        1.6667,
        1.65161,
        1.63882,
        1.67047,
        1.66317,
        1.61191,
        1.61116,
        1.62047,
        1.6273,
        1.62142,
        1.60684,
        1.60219,
        1.59094,
        1.55834,
        1.57577,
        1.59688,
        1.52832,
        1.55086,
        1.52754,
        1.54243,
        1.52864,
        1.54552,
        1.55284,
        1.55611,
        1.55595,
        1.48524,
        1.49737,
        1.52392,
        1.57533,
        1.50449,
        1.51563,
        1.52191,
        1.46579,
        1.44344,
        1.51621,
        1.51695,
        1.50315,
        1.47751,
        1.47683,
        1.47544,
        1.45929,
        1.47458,
        1.49468,
        1.54204,
        1.48283,
        1.48465,
        1.4737,
        1.46125,
        1.47549,
        1.48065,
        1.48465,
        1.4608,
        1.47221,
        1.45181,
        1.46835,
        1.4411,
        1.45414,
        1.46995,
        1.46791,
        1.45162,
        1.47309,
        1.45687,
        1.4511,
        1.44697,
        1.46972,
        1.44042,
        1.47434,
        1.41429,
        1.44294,
        1.46096,
        1.4606,
        1.45203,
        1.44093,
        1.45633,
        1.46742,
        1.50763,
        1.49202,
        1.46025,
        1.42053,
        1.50236,
        1.45438,
        1.43848,
        1.45197,
        1.42143,
        1.44843,
        1.46585,
        1.46029,
        1.4529,
        1.46098,
        1.44361,
        1.44396,
        1.39246,
        1.37828,
        1.45419,
        1.50051,
        1.48568,
        1.42921,
        1.37853,
        1.49638,
        1.46697,
        1.51975,
        1.52732,
        1.46441,
        1.46324,
        1.47596,
        1.44806,
        1.42445,
        1.46199,
        1.45885,
        1.4645,
        1.44363,
        1.45217,
        1.49196,
        1.48703,
        1.52093,
        1.48625,
        1.50953,
        1.49421,
        1.46382,
        1.5332,
        1.42834,
        1.43976,
        1.4919,
        1.52603,
        1.51517,
        1.53762,
        1.55167,
        1.50248,
        1.52467,
        1.47888,
        1.47483,
        1.43151,
        1.5026,
        1.45678,
        1.48743,
        1.72176,
        1.49781,
        1.47904,
        1.44833,
        1.48358,
        1.53682,
        1.59994,
        1.59079,
        1.52764,
        1.52478,
        1.65613,
        1.58677,
        1.51064,
        1.52752,
        1.52527,
        1.49907,
        1.49695,
        1.50618,
        1.50929,
        1.49991,
        1.48466,
        1.51303,
        1.49456,
        1.53186,
        1.56375,
        1.53567,
        1.48038,
        1.50853,
        1.47106,
        1.4909,
        1.47182,
        1.49378,
        1.46873,
        1.44729,
        1.44858,
        1.45015,
        1.4381,
        1.46658,
        1.46665,
        1.44632,
        1.45048,
        1.46944,
        1.467,
        1.43879,
        1.46374,
        1.42654,
        1.41402,
        1.41122,
        1.44038,
        1.41682,
        1.41751,
        1.45407,
        1.46138,
        1.48327,
        1.46713,
        1.43633,
        1.42925,
        1.4215,
        1.45862,
        1.47434,
        1.48818,
        1.50203,
        1.52503,
        1.44744,
        1.48355,
        1.45817,
        1.46947,
        1.48701,
        1.48169,
        1.53062,
        1.50532,
        1.46669,
        1.49415,
        1.49284,
        1.47084,
        1.45254,
        1.4696,
        1.47341,
        1.50147,
        1.51773,
        1.48602,
        1.45738,
        1.4479,
        1.50127,
        1.4861,
        1.48544,
        1.46745,
        1.45212,
        1.44275,
        1.41239,
        1.42236,
        1.42983,
        1.44651,
        1.48737,
        1.47534,
        1.46488,
        1.42523,
        1.46583,
        1.43684,
        1.48184,
        1.47184,
        1.49318,
        1.44506,
        1.45661,
        1.47674,
        1.47773,
        1.49678,
        1.49874,
        1.49765,
        1.49758,
        1.51708,
        1.52816,
        1.48769,
        1.45927,
        1.49664,
        1.47032,
        1.45609,
        1.48395,
        1.46781,
        1.4741,
        1.477,
        1.48595,
        1.4948,
        1.48747,
        1.47935,
        1.46884,
        1.48866,
        1.48694,
        1.46628,
        1.49479,
        1.49649,
        1.48018,
        1.47715,
        1.47868,
        1.4449,
        1.43728,
        1.42778,
        1.4335,
        1.46239,
        1.45504,
        1.47217,
        1.48772,
        1.47808,
        1.47175,
        1.49334,
        1.47156,
        1.51209,
        1.51749,
        1.49508,
        1.48087,
        1.49753,
        1.5667,
        1.5589,
        1.52005,
        1.46856,
        1.43739,
        1.47675,
        1.4778,
        1.47484,
        1.40648,
        1.46182,
        1.48194,
        1.64724,
        1.71089,
        1.7949,
        2.05897,
        1.3233,
        1.37935,
        1.42004,
        1.56574,
        1.3967,
        1.37098,
        1.55439,
        1.62139,
        1.5661,
        1.53959,
        1.492,
        1.50234,
        1.51834,
        1.52168,
        1.50625,
        1.44928,
        1.43912,
        1.50021,
        1.50382,
        1.51255,
        1.4793,
        1.55108,
        1.49001,
        1.57694,
        1.53048,
        1.56292,
        1.58161,
        1.53682,
        1.50289,
        1.57127,
        1.61749,
        1.60598,
        1.61682,
        1.57928,
        1.62768,
        1.58565,
        1.59003,
        1.6072,
        1.60289,
        1.627,
        1.57655,
        1.57092,
        1.57868,
        1.61675,
        1.66397,
        1.60362,
        1.63314,
        1.64254,
        1.64119,
        1.67699,
        1.66783,
        1.65288,
        1.6629,
        1.69607,
        1.65909,
        1.64317,
        1.73495,
        1.75629,
        1.73694,
        1.68387,
        1.66453,
        1.69666,
        1.63558,
        1.67279,
        1.67197,
        1.6968,
        1.69365,
        1.67893,
        1.68511,
        1.63854,
        1.66367,
        1.61341,
        1.6297,
        1.63298,
        1.67719,
        1.61474,
        1.62702,
        1.64067,
        1.62026,
        1.623,
        1.59677,
        1.5842,
        1.60094,
        1.62725,
        1.60797,
        1.58198,
        1.60168,
        1.56603,
        1.55582,
        1.57804,
        1.58095,
        1.59777,
        1.56617,
        1.56293,
        1.5719,
        1.5692,
        1.57781,
        1.6072,
        1.57296,
        1.54453,
        1.56659,
        1.58476,
        1.55901,
        1.60392,
        1.58058,
        1.5416,
        1.55991,
        1.55411,
        1.55166,
        1.5686,
        1.57798,
        1.57645,
        1.58614,
        1.54403,
        1.53288,
        1.5438,
        1.53418,
        1.53288,
        1.54335,
        1.57547,
        1.54736,
        1.54511,
        1.60431,
        1.58232,
        1.52389,
        1.50532,
        1.47624,
        1.42017,
        1.41325,
        1.42601,
        1.36346,
        1.37067,
        1.41868,
        1.48641,
        1.5342,
        1.56668,
        1.56712,
        1.65021,
        1.63114,
        1.64618,
        1.61901,
        1.66832,
        1.6634,
        1.67235,
        1.67398,
        1.66084,
        1.66916,
        1.67494,
        1.71938,
        1.74641,
        1.77573,
        1.75218,
        1.64489,
        1.58595,
        1.55969,
        1.54067,
        1.52027,
        1.49131,
        1.44532,
        1.36087,
        1.23546,
        1.36421,
        1.60462,
        1.86024,
        2.15758,
        2.36104,
        2.39409,
        2.32946,
        2.44519,
        2.16419,
        1.87566,
        1.85363,
        1.79578,
        1.87129,
        1.79247,
        1.75454,
        1.8241,
        1.8264,
        1.7867,
        1.77223,
        1.75012,
        1.70541,
        1.60083,
        1.63215,
        1.62481,
        1.6211,
        1.65703,
        1.69598,
        1.64023,
        1.67613,
        1.61546,
        1.61675,
        1.62605,
        1.6241,
        1.57304,
        1.57541,
        1.59033,
        1.58116,
        1.57455,
        1.59047,
        1.57694,
        1.59359,
        1.58122,
        1.62117,
        1.56928,
        1.63454,
        1.59507,
        1.56506,
        1.60294,
        1.56384,
        1.5202,
        1.50336,
        1.52036,
        1.51986,
        1.49472,
        1.48877,
        1.48883,
        1.50698,
        1.49818,
        1.46538,
        1.46956,
        1.47295,
        1.48338,
        1.50368,
        1.49304,
        1.46225,
        1.469,
        1.45713,
        1.44864,
        1.47539,
        1.50335,
        1.43775,
        1.47002,
        1.51184,
        1.50823,
        1.49893,
        1.50792,
        1.52511,
        1.51926,
        1.4761,
        1.49259,
        1.52571,
        1.48991,
        1.47808,
        1.51881,
        1.53592,
        1.52919,
        1.50696,
        1.52671,
        1.50897,
        1.51918,
        1.53492,
        1.51522,
        1.51384,
        1.5173,
        1.51646,
        1.46116,
        1.52083,
        1.55744,
        1.50642,
        1.60231,
        1.63086,
        1.52682,
        1.55037,
        1.53356,
        1.51761,
        1.54461,
        1.53032,
        1.52301,
        1.4804,
        1.54477,
        1.4948,
        1.51875,
        1.52529,
        1.50772,
        1.55467,
        1.55167,
        1.53522,
        1.49573,
        1.50219,
        1.51887,
        1.52429,
        1.60118,
        1.50533,
        1.52725,
        1.50747,
        1.50927,
        1.50208,
        1.46775,
        1.48021,
        1.50951,
        1.48164,
        1.50275,
        1.48737,
        1.45312,
        1.48665,
        1.52015,
        1.56371,
        1.51806,
        1.48008,
        1.46945,
        1.47112,
        1.49005,
        1.47582,
        1.45975,
        1.50096,
        1.47313,
        1.51046,
        1.52643,
        1.49666,
        1.4465,
        1.45943,
        1.51454,
        1.47303,
        1.45137,
        1.4008,
        1.4593,
        1.46723,
        1.45321,
        1.40175,
        1.44295,
        1.46367,
        1.4734,
        1.45477,
        1.46053,
        1.47227,
        1.44735,
        1.46194,
        1.45543,
        1.4744,
        1.50085,
        1.46245,
        1.4042,
        1.44256,
        1.51013,
        1.57411,
        1.51733,
        1.39816,
        1.39571,
        1.36145,
        1.54911,
        1.54591,
        1.67762,
        1.48996,
        1.52721,
        1.42099,
        1.458,
        1.51673,
        1.48277,
        1.51537,
        1.39431,
        1.51528,
        1.43887,
        1.49395,
        1.45168,
        1.44891,
        1.45149,
        1.48476,
        1.50707,
        1.45161,
        1.43041,
        1.42043,
        1.43941,
        1.43632,
        1.46076,
        1.47503,
        1.46294,
        1.43231,
        1.49331,
        1.47419,
        1.48479,
        1.50183,
        1.4769,
        1.48832,
        1.48962,
        1.52858,
        1.56597,
        1.51025,
        1.4951,
        1.49504,
        1.53331,
        1.52596,
        1.52092,
        1.47509,
        1.48298,
        1.47711,
        1.47394,
        1.48062,
        1.52105,
        1.54573,
        1.52596,
        1.46266,
        1.50016,
        1.52008,
        1.51891,
        1.53436,
        1.51585,
        1.51339,
        1.47679,
        1.4859,
        1.53769,
        1.54056,
        1.49521,
        1.4784,
        1.48025,
        1.47137,
        1.51443,
        1.48657,
        1.47164,
        1.48058,
        1.4639,
        1.4885,
        1.51873,
        1.49047,
        1.49369,
        1.51122,
        1.54081,
        1.52849,
        1.48667,
        1.51335,
        1.50486,
        1.51235,
        1.49161,
        1.5194,
        1.51455,
        1.52685,
        1.51494,
        1.47887,
        1.49238,
        1.53804,
        1.53334,
        1.51311,
        1.51018,
        1.48679,
        1.52334,
        1.54524,
        1.57265,
        1.53202,
        1.51751,
        1.46952,
        1.52861,
        1.53415,
        1.51274,
        1.532,
        1.45658,
        1.49874,
        1.49595,
        1.49952,
        1.47949,
        1.51028,
        1.4676,
        1.49064,
        1.52236,
        1.53782,
        1.49627,
        1.4816,
        1.48834,
        1.44396,
        1.50017,
        1.49325,
        1.48752,
        1.47474,
        1.45478,
        1.4892,
        1.49664,
        1.5229,
        1.47025,
        1.49964,
        1.50041,
        1.51302,
        1.48497,
        1.48694,
        1.49905,
        1.49664,
        1.49086,
        1.46151,
        1.53779,
        1.56031,
        1.53775,
        1.52161,
        1.51942,
        1.49949,
        1.48878,
        1.51946,
        1.53938,
        1.49211,
        1.50469,
        1.47985,
        1.47986,
        1.47623,
        1.50081,
        1.48942,
        1.51298,
        1.48064,
        1.49664,
        1.50375,
        1.54193,
        1.4925,
        1.49257,
        1.49411,
        1.49408,
        1.50032,
        1.54774,
        1.49509,
        1.46606,
        1.56233,
        1.48632,
        1.4937,
        1.38161,
        1.42025,
        1.5038,
        1.52335,
        1.4407,
        1.38516,
        1.36457,
        1.49286,
        1.52845,
        1.62951,
        1.52189,
        1.51825,
        1.39778,
        1.56554,
        1.45936,
        1.45245,
        1.42739,
        1.53002,
        1.55293,
        1.54517,
        1.57695,
        1.57,
        1.62829,
        1.58565,
        1.58579,
        1.63006,
        1.58817,
        1.59372,
        1.62039,
        1.61159,
        1.59476,
        1.59853,
        1.65958,
        1.68224,
        1.67577,
        1.7259,
        1.68875,
        1.67246,
        1.66313,
        1.67458,
        1.66702,
        1.68528,
        1.6998,
        1.70565,
        1.66871,
        1.63902,
        1.66551,
        1.64216,
        1.69436,
        1.67908,
        1.65194,
        1.67805,
        1.7277,
        1.67536,
        1.70029,
        1.66266,
        1.68832,
        1.72201,
        1.68052,
        1.61962,
        1.64376,
        1.65176,
        1.66256,
        1.67982,
        1.67159,
        1.67282,
        1.63542,
        1.61034,
        1.68257,
        1.67756,
        1.68717,
        1.68557,
        1.70216,
        1.64411,
        1.65027,
        1.68582,
        1.69067,
        1.65337,
        1.66865,
        1.66286,
        1.6668,
        1.71723,
        1.69415,
        1.73446,
        1.68476,
        1.75702,
        1.69037,
        1.63224,
        1.70593,
        1.7757,
        1.71727,
        1.73342,
        1.65607,
        1.70244,
        1.70804,
        1.67986,
        1.73432,
        1.72994,
        1.73735,
        1.69297,
        1.65798,
        1.67258,
        1.69236,
        1.71736,
        1.68756,
        1.6512,
        1.696,
        1.71511,
        1.69543,
        1.77648,
        1.81651,
        1.70132,
        1.76564,
        1.76099,
        1.72667,
        1.82398,
        1.79202,
        1.8657,
        1.98831,
        2.06136,
        2.20621,
        2.08892,
        2.23002,
        1.99801,
        1.78853,
        1.81853,
        2.0034,
        1.73988,
        1.72428,
        1.71486,
        1.84684,
        1.63822,
        1.5851,
        1.63063,
        1.53766,
        1.47465,
        1.47463,
        1.51996,
        1.48793,
        1.53734,
        1.66985,
        1.6152,
        1.68672,
        1.71582,
        1.73321,
        1.74798,
        1.68759,
        1.71273,
        1.62521,
        1.6651,
        1.73791,
        1.67202,
        1.7172,
        1.71788,
        1.82709,
        1.75239,
        1.85555,
        1.86803,
        1.77516,
        1.69278,
        1.60514,
        1.64562,
        1.62503,
        1.59511,
        1.55358,
        1.55414,
        1.49181,
        1.37977,
        1.37917,
        1.47934,
        1.72094,
        2.0064,
        2.05757,
        1.98877,
        2.24374,
        2.26059,
        2.21954,
        2.43949,
        2.75312,
        2.35824,
        2.23336,
        1.80434,
        1.81197,
        1.9309,
        1.8003,
        1.79128,
        1.81676,
        1.81141,
        1.75977,
        1.70867,
        1.70823,
        1.74634,
        1.71106,
        1.7199,
        1.68869,
        1.69799,
        1.72602,
        1.70099,
        1.75124,
        1.6985,
        1.70629,
        1.65278,
        1.66491,
        1.70782,
        1.7455,
        1.68541,
        1.6966,
        1.66649,
        1.6827,
        1.59729,
        1.60176,
        1.65515,
        1.67418,
        1.62965,
        1.55406,
        1.61638,
        1.61485,
        1.61769,
        1.6258,
        1.59038,
        1.61102,
        1.62206,
        1.56349,
        1.65433,
        1.64357,
        1.57881,
        1.58485,
        1.55206,
        1.57196,
        1.58329,
        1.6078,
        1.58116,
        1.56363,
        1.60875,
        1.6067,
        1.59228,
        1.60125,
        1.59755,
        1.52998,
        1.55685,
        1.57435,
        1.54607,
        1.54322,
        1.54496,
        1.57036,
        1.51982,
        1.54709,
        1.50314,
        1.51764,
        1.48358,
        1.53206,
        1.51953,
        1.51935,
        1.55127,
        1.5064,
        1.52097,
        1.47565,
        1.52895,
        1.44869,
        1.4587,
        1.52126,
        1.53759,
        1.50784,
        1.53997,
        1.51186,
        1.49238,
        1.56351,
        1.51488,
        1.51215,
        1.56567,
        1.50307,
        1.42502,
        1.49519,
        1.50559,
        1.49274,
        1.47663,
        1.44124,
        1.43622,
        1.44563,
        1.44792,
        1.50329,
        1.50877,
        1.41393,
        1.47401,
        1.5018,
        1.55403,
        1.46073,
        1.48121,
        1.46501,
        1.46972,
        1.49,
        1.4173,
        1.46445,
        1.53238,
        1.4932,
        1.51309,
        1.4476,
        1.48313,
        1.47723,
        1.4686,
        1.50099,
        1.44819,
        1.4996,
        1.51757,
        1.46529,
        1.4286,
        1.52288,
        1.42433,
        1.50091,
        1.47493,
        1.49824,
        1.48524,
        1.47784,
        1.48051,
        1.48389,
        1.51621,
        1.49061,
        1.48278,
        1.53117,
        1.47377,
        1.48175,
        1.43884,
        1.48521,
        1.45827,
        1.44798,
        1.48941,
        1.53465,
        1.52902,
        1.46202,
        1.54412,
        1.50554,
        1.54862,
        1.52913,
        1.48832,
        1.51512,
        1.52353,
        1.47392,
        1.52194,
        1.50916,
        1.51084,
        1.49947,
        1.50021,
        1.50633,
        1.47533,
        1.52701,
        1.50007,
        1.51949,
        1.482,
        1.45925,
        1.49468,
        1.6257,
        1.61343,
        1.52594,
        1.41643,
        1.58801,
        1.50859,
        1.40419,
        1.46826,
        1.58895,
        1.58099,
        1.75176,
        1.67661,
        1.80154,
        1.74439,
        1.51923,
        1.50727,
        1.26119,
        1.47329,
        1.43505,
        1.57805,
        1.5484,
        1.611,
        1.5274,
        1.49309,
        1.55712,
        1.46573,
        1.63608,
        1.58503,
        1.56904,
        1.59383,
        1.59292,
        1.58791,
        1.60588,
        1.58471,
        1.65524,
        1.57505,
        1.57604,
        1.53955,
        1.58561,
        1.58726,
        1.6321,
        1.75493,
        1.40974,
        1.61999,
        1.6778,
        1.79255,
        1.76345,
        1.74732,
        1.90982,
        1.68844,
        2.10731,
        2.18887,
        2.13921,
        2.472,
        2.53412,
        1.80803,
        1.87025,
        1.83856,
        1.75436,
        1.92713,
        1.8236,
        1.55738,
        1.65765,
        1.59712,
        1.65666,
        1.79076,
        1.67787,
        1.663,
        1.65393,
        1.74798,
        1.48195,
        1.67068,
        1.67483,
        1.71131,
        1.67283,
        1.60657,
        1.59099,
        1.59559,
        1.54497,
        1.52485,
        1.54875,
        1.57778,
        1.54459,
        1.65436,
        1.50847,
        1.52392,
        1.46504,
        1.61569,
        1.59691,
        1.51481,
        1.5833,
        1.57424,
        1.55333,
        1.49903,
        1.51202,
        1.49723,
        1.55688,
        1.56608,
        1.47073,
        1.46408,
        1.5289,
        1.5729,
        1.52287,
        1.61349,
        1.49297,
        1.56044,
        1.54627,
        1.58673,
        1.50404,
        1.52126,
        1.48566,
        1.49619,
        1.49098,
        1.51912,
        1.48406,
        1.52135,
        1.44593,
        1.51411,
        1.44145,
        1.48431,
        1.50895,
        1.55136,
        1.53518,
        1.50721,
        1.50138,
        1.51546,
        1.47026,
        1.48017,
        1.50263,
        1.4851,
        1.53909,
        1.54638,
        1.53058,
        1.49488,
        1.60573,
        1.58362,
        1.46643,
        1.49826,
        1.49619,
        1.5603,
        1.51716,
        1.44642,
        1.46933,
        1.49958,
        1.49265,
        1.47332,
        1.58251,
        1.5934,
        1.64483,
        1.63144,
        1.54973,
        1.65484,
        1.60541,
        1.69454,
        1.77786,
        1.66767,
        1.8347,
        1.81815,
        1.74332,
        1.98408,
        1.8472,
        1.70574,
        1.58686,
        1.57033,
        1.71684,
        1.65927,
        1.71088,
        1.72836,
        1.77203,
        1.6943,
        1.70704,
        1.68054,
        1.66966,
        1.72137,
        1.75066,
        1.66206,
        1.72553,
        1.71887,
        1.76757,
        1.70729,
        1.74752,
        1.79715,
        1.73279,
        1.66854,
        1.71796,
        1.68256,
        1.82761,
        1.73559,
        1.75878,
        1.80844,
        1.77827,
        1.75158,
        1.79004,
        1.72569,
        1.81814,
        1.82656,
        1.75993,
        1.66068,
        1.74708,
        1.71662,
        1.80602,
        1.75797,
        1.71104,
        1.74658,
        1.74012,
        1.76528,
        1.68139,
        1.63487,
        1.68503,
        1.74066,
        1.76357,
        1.69144,
        1.7578,
        1.65776,
        1.60472,
        1.64649,
        1.59158,
        1.66347,
        1.68834,
        1.67246,
        1.65391,
        1.63061,
        1.62046,
        1.66389,
        1.64611,
        1.60057,
        1.55363,
        1.60235,
        1.65654,
        1.60883,
        1.59976,
        1.57603,
        1.57892,
        1.59887,
        1.50277,
        1.52164,
        1.51453,
        1.60506,
        1.58714,
        1.56761,
        1.58852,
        1.56284,
        1.53679,
        1.56727,
        1.56808,
        1.63356,
        1.51274,
        1.55249,
        1.62362,
        1.61337,
        1.5253,
        1.53568,
        1.57042,
        1.51078,
        1.56121,
        1.46663,
        1.52138,
        1.5536,
        1.52715,
        1.51153,
        1.54677,
        1.49224,
        1.38377,
        1.46332,
        1.47891,
        1.59015,
        1.56679,
        1.53263,
        1.54673,
        null,
        1.46288,
        1.38849,
        1.42822,
        1.47162,
        1.50668,
        1.53549,
        1.50614,
        1.50382,
        1.44895,
        1.44243,
        1.46694,
        1.49959,
        1.48549,
        1.49796,
        1.50148,
        1.53959,
        1.48849,
        1.48654,
        1.52939,
        1.4978,
        1.49335,
        1.49237,
        1.5006,
        1.48667,
        1.46537,
        1.47823,
        1.51764,
        1.4837,
        1.47992,
        1.48761,
        1.44157,
        1.42092,
        1.45245,
        1.47378,
        1.44581,
        1.47874,
        1.46396,
        1.4822,
        1.46842,
        1.45051,
        1.48877,
        1.53607,
        1.45432,
        1.40406,
        1.41102,
        1.47047,
        1.47744,
        1.46123,
        1.47398,
        1.44434,
        1.45832,
        1.48211,
        1.43994,
        1.43747,
        1.47225,
        1.45674,
        1.43999,
        1.44568,
        1.44743,
        1.46388,
        1.45677,
        1.45135,
        1.43995,
        1.42509,
        1.45665,
        1.42445,
        1.44516,
        1.4445,
        1.46176,
        1.46791,
        1.4373,
        1.4304,
        1.43658,
        1.42786,
        1.43425,
        1.41677,
        1.42996,
        1.45797,
        1.46529,
        1.4369,
        1.43376,
        1.47078,
        1.49228,
        1.49365,
        1.47087,
        1.44639,
        1.44449,
        1.47894,
        1.44431,
        1.45587,
        1.46925,
        1.43156,
        1.44541,
        1.46671,
        1.46855,
        1.42246,
        1.48883,
        1.48798,
        1.43889,
        1.42358,
        1.45017,
        1.48308,
        1.47777,
        1.43378,
        1.44119,
        1.43807,
        1.46222,
        1.4771,
        1.44764,
        1.50335,
        1.52103,
        1.49587,
        1.48894,
        1.46466,
        1.50991,
        1.52811,
        1.5487,
        1.50849,
        1.51933,
        1.57217,
        1.58267,
        1.53862,
        1.53674,
        1.5285,
        1.56111,
        1.57886,
        1.54972,
        1.59825,
        1.62021,
        1.65137,
        1.64547,
        1.6187,
        1.5977,
        1.66291,
        1.68666,
        1.69041,
        1.66011,
        1.617,
        1.65728,
        1.71806,
        1.68625,
        1.7067,
        1.68506,
        1.68952,
        1.81868,
        1.70979,
        1.67453,
        1.62938,
        1.67573,
        1.64462,
        1.65125,
        1.71492,
        1.63301,
        1.64612,
        1.69892,
        1.66194,
        1.62352,
        1.66743,
        1.67762,
        1.64434,
        1.65946,
        1.63228,
        1.63245,
        1.65054,
        1.65734,
        1.63072,
        1.6082,
        1.60787,
        1.61893,
        1.66729,
        1.61614,
        1.61497,
        1.62649,
        1.6513,
        1.61803,
        1.57813,
        1.6026,
        1.59198,
        1.60289,
        1.55424,
        1.58921,
        1.56138,
        1.55822,
        1.60873,
        1.55929,
        1.56764,
        1.61028,
        1.58469,
        1.57565,
        1.58876,
        1.55559,
        1.49819,
        1.53907,
        1.58011,
        1.54273,
        1.55119,
        1.53017,
        1.47663,
        1.50996,
        1.50722,
        1.51359,
        1.50082,
        1.51735,
        1.56553,
        1.50446,
        1.49384,
        1.5011,
        1.47831,
        1.49394,
        1.52399,
        1.50261,
        1.50529,
        1.53105,
        1.49858,
        1.49716,
        1.53031,
        1.47937,
        1.48892,
        1.52911,
        1.54508,
        1.50587,
        1.5511,
        1.52913,
        1.45146,
        1.45648,
        1.49748,
        1.5224,
        1.53777,
        1.59417,
        1.59843,
        1.5775,
        1.58077,
        1.50657,
        1.52954,
        1.64484,
        1.7917,
        1.68837,
        1.56395,
        1.79534,
        1.7983,
        1.85678,
        2.08825,
        1.93091,
        1.96581,
        1.87099,
        1.67959,
        1.71329,
        1.68148,
        1.6993,
        1.62891,
        1.58892,
        1.73632,
        1.75637,
        1.65408,
        1.61657,
        1.61996,
        1.46843,
        1.5332,
        1.53898,
        1.52276,
        1.61249,
        1.60943,
        1.57743,
        1.60115,
        1.6029,
        1.51574,
        1.53027,
        1.52274,
        1.45921,
        1.47948,
        1.41433,
        1.50083,
        1.50159,
        1.50285,
        1.50637,
        1.55133,
        1.55574,
        1.47425,
        1.44332,
        1.47919,
        1.41808,
        1.39781,
        1.38251,
        1.41207,
        1.44864,
        1.48762,
        1.51387,
        1.59499,
        1.58511,
        1.66198,
        1.68773,
        1.70623,
        1.71934,
        1.70289,
        1.69768,
        1.7014,
        1.71068,
        1.69902,
        1.69732,
        1.71611,
        1.75468,
        1.78629,
        1.72628,
        1.66355,
        1.57724,
        1.53603,
        1.61741,
        1.60874,
        1.51742,
        1.4067,
        1.4184,
        1.5274,
        1.66359,
        1.88499,
        1.99427,
        2.05537,
        2.06059,
        2.00511,
        2.00321,
        2.03529,
        2.0178,
        1.98491,
        1.97548,
        1.94014,
        1.98726,
        1.91201,
        1.89302,
        1.86699,
        1.82234,
        1.79085,
        1.73741,
        1.76143,
        1.76912,
        1.68399,
        1.70745,
        1.75602,
        1.69142,
        1.67301,
        1.67263,
        1.68543,
        1.67612,
        1.64836,
        1.63835,
        1.6514,
        1.63069,
        1.6181,
        1.61862,
        1.63814,
        1.6127,
        1.54344,
        1.58183,
        1.58795,
        1.54734,
        1.61568,
        1.62021,
        1.56162,
        1.55415,
        1.53855,
        1.55705,
        1.54629,
        1.54074,
        1.54796,
        1.53012,
        1.51338,
        1.53138,
        1.49912,
        1.51071,
        1.50448,
        1.4525,
        1.46615,
        1.50829,
        1.49493,
        1.50204,
        1.45886,
        1.47822,
        1.49024,
        1.47688,
        1.47196,
        1.44787,
        1.4552,
        1.42894,
        1.44287,
        1.47365,
        1.44548,
        1.48414,
        1.48853,
        1.46641,
        1.47055,
        1.44167,
        1.4451,
        1.43402,
        1.43408,
        1.42274,
        1.4493,
        1.46677,
        1.47029,
        1.47658,
        1.46382,
        1.44264,
        1.43465,
        1.41552,
        1.44331,
        1.46798,
        1.45769,
        1.47088,
        1.43997,
        1.40876,
        1.45272,
        1.50186,
        1.45863,
        1.43909,
        1.43703,
        1.44816,
        1.46122,
        1.41839,
        1.43143,
        1.42708,
        1.44255,
        1.44726,
        1.42749,
        1.44188,
        1.45547,
        1.43516,
        1.42693,
        1.43751,
        1.39929,
        1.43903,
        1.39835,
        1.42938,
        1.42699,
        1.45472,
        1.41146,
        1.44728,
        1.44082,
        1.42001,
        1.44899,
        1.40489,
        1.40414,
        1.42106,
        1.4152,
        1.44539,
        1.46457,
        1.44471,
        1.44647,
        1.40875,
        1.40744,
        1.43492,
        1.47352,
        1.40361,
        1.42578,
        1.46002,
        1.43547,
        1.44044,
        1.41132,
        1.42725,
        1.45206,
        1.43752,
        1.43512,
        1.45838,
        1.43772,
        1.46153,
        1.47276,
        1.45391,
        1.43059,
        1.49449,
        1.45333,
        1.43737,
        1.45121,
        1.44828,
        1.42497,
        1.45641,
        1.51522,
        1.4454,
        1.47385,
        1.45707,
        1.4252,
        1.44459,
        1.44552,
        1.44003,
        1.40974,
        1.39564,
        1.46493,
        1.47913,
        1.46007,
        1.47293,
        1.47714,
        1.49154,
        1.48995,
        1.50904,
        1.48284,
        1.46288,
        1.46917,
        1.42756,
        1.50417,
        1.52568,
        1.52265,
        1.53435,
        1.492,
        1.50866,
        1.4822,
        1.47926,
        1.49898,
        1.51788,
        1.46799,
        1.49773,
        1.47117,
        1.51081,
        1.48669,
        1.48621,
        1.47736,
        1.48741,
        1.48754,
        1.46655,
        1.44857,
        1.4597,
        1.47211,
        1.42621,
        1.44445,
        1.48822,
        1.47769,
        1.4793,
        1.4268,
        1.51039,
        1.50803,
        1.48674,
        1.50199,
        1.47541,
        1.47407,
        1.49567,
        1.49361,
        1.4988,
        1.49214,
        1.49737,
        1.52323,
        1.5071,
        1.49023,
        1.5233,
        1.49761,
        1.46026,
        1.44607,
        1.50051,
        1.50946,
        1.47204,
        1.46482,
        1.50161,
        1.4627,
        1.47027,
        1.4643,
        1.50004,
        1.50953,
        1.5048,
        1.44711,
        1.51962,
        1.45634,
        1.48244,
        1.47764,
        1.45894,
        1.48146,
        1.45246,
        1.48572,
        1.44774,
        1.45073,
        1.44601,
        1.46219,
        1.49785,
        1.45914,
        1.44864,
        1.46415,
        1.47487,
        1.42667,
        1.4527,
        1.47447,
        1.47733,
        1.45898,
        1.45901,
        1.42939,
        1.43358,
        1.46419,
        1.48057,
        1.45329,
        1.45721,
        1.49704,
        1.48941,
        1.49982,
        1.51023,
        1.54021,
        1.50262,
        1.50424,
        1.53105,
        1.54082,
        1.54009,
        1.57269,
        1.54977,
        1.55668,
        1.516,
        1.54954,
        1.57812,
        1.55971,
        1.59059,
        1.52368,
        1.55898,
        1.59468,
        1.60705,
        1.60221,
        1.62013,
        1.59395,
        1.65156,
        1.57368,
        1.60012,
        1.61093,
        1.61171,
        1.65653,
        1.62716,
        1.69259,
        1.73306,
        1.6695,
        1.68909,
        1.73517,
        1.65885,
        1.74234,
        1.68869,
        1.76287,
        1.84232,
        1.7817,
        1.69624,
        1.90913,
        1.96653,
        1.96999,
        1.9576,
        1.67591,
        1.78102,
        2.08391,
        2.12367,
        1.85278,
        2.05321,
        1.82288,
        1.83465,
        1.95463,
        1.81163,
        1.81912,
        1.803,
        1.83952,
        1.79614,
        1.76089,
        1.76906,
        1.78741,
        1.79974,
        1.81234,
        1.73117,
        1.76355,
        1.76841,
        1.67312,
        1.67176,
        1.65683,
        1.6522,
        1.658,
        1.65361,
        1.65668,
        1.66694,
        1.63681,
        1.64723,
        1.61266,
        1.59959,
        1.57221,
        1.6103,
        1.59393,
        1.62014,
        1.62434,
        1.59766,
        1.60667,
        1.58176,
        1.62989,
        1.60311,
        1.58168,
        1.59315,
        1.5833,
        1.58461,
        1.58121,
        1.56769,
        1.57401,
        1.58353,
        1.59261,
        1.57994,
        1.5969,
        1.58208,
        1.53296,
        1.55373,
        1.52224,
        1.52208,
        1.52759,
        1.49194,
        1.51882,
        1.53936,
        1.50658,
        1.49891,
        1.47758,
        1.46961,
        1.49909,
        1.50517,
        1.49134,
        1.48682,
        1.47383,
        1.44176,
        1.46521,
        1.50909,
        1.48384,
        1.48429,
        1.51776,
        1.49225,
        1.50651,
        1.48983,
        1.47792,
        1.52048,
        1.52119,
        1.49301,
        1.51303,
        1.50529,
        1.49319,
        1.54377,
        1.52757,
        1.48672,
        1.51312,
        1.46837,
        1.49638,
        1.50722,
        1.49256,
        1.47726,
        1.49607,
        1.47222,
        1.51328,
        1.50823,
        1.54159,
        1.55529,
        1.51458,
        1.51895,
        1.50724,
        1.52805,
        1.54384,
        1.55787,
        1.56079,
        1.57255,
        1.57029,
        1.51812,
        1.55124,
        1.54028,
        1.54333,
        1.52172,
        1.53784,
        1.51019,
        1.49517,
        1.53678,
        1.53413,
        1.46869,
        1.48133,
        1.54619,
        1.57964,
        1.55818,
        1.51199,
        1.53398,
        1.52737,
        1.51499,
        1.5224,
        1.52693,
        1.51339,
        1.53873,
        1.52906,
        1.50408,
        1.49436,
        1.50926,
        1.51116,
        1.52768,
        1.49118,
        1.53798,
        1.55131,
        1.55204,
        1.51036,
        1.4965,
        1.50047,
        1.53505,
        1.49046,
        1.49282,
        1.47361,
        1.5045,
        1.49005,
        1.5401,
        1.53396,
        1.48499,
        1.48908,
        1.52423,
        1.47299,
        1.48219,
        1.4538,
        1.5195,
        1.52141,
        1.50953,
        1.49491,
        1.49456,
        1.48967,
        1.48923,
        1.54746,
        1.50161,
        1.46161,
        1.44966,
        1.48385,
        1.49926,
        1.47898,
        1.47313,
        1.45985,
        1.45503,
        1.46296,
        1.48151,
        1.48873,
        1.4671,
        1.45096,
        1.46408,
        1.52276,
        1.47005,
        1.44121,
        1.4373,
        1.39806,
        1.36619,
        1.357,
        1.32968,
        1.41805,
        1.46136,
        1.50104,
        1.50277,
        1.51913,
        1.53801,
        1.58072,
        1.60987,
        1.63688,
        1.63528,
        1.60808,
        1.6421,
        1.62488,
        1.6026,
        1.58765,
        1.69373,
        1.72089,
        1.70726,
        1.72707,
        1.70006,
        1.66203,
        1.60986,
        1.60138,
        1.5713,
        1.57006,
        1.59739,
        1.57226,
        1.47007,
        1.39305,
        1.4289,
        1.51665,
        1.73506,
        1.90711,
        1.98353,
        1.98927,
        1.99076,
        2.03139,
        2.00188,
        1.9656,
        1.98885,
        1.96756,
        1.98231,
        1.90733,
        1.9286,
        1.86149,
        1.84464,
        1.77039,
        1.76626,
        1.77203,
        1.75808,
        1.75226,
        1.74896,
        1.69298,
        1.69857,
        1.67345,
        1.6972,
        1.64953,
        1.64117,
        1.64204,
        1.63265,
        1.63582,
        1.6242,
        1.63253,
        1.66722,
        1.645,
        1.60195,
        1.60467,
        1.56514,
        1.6201,
        1.61654,
        1.57438,
        1.58734,
        1.61147,
        1.5502,
        1.54201,
        1.57509,
        1.53606,
        1.50739,
        1.4786,
        1.5351,
        1.54368,
        1.5467,
        1.53134,
        1.49667,
        1.52947,
        1.48802,
        1.50128,
        1.49309,
        1.51067,
        1.49412,
        1.48376,
        1.48665,
        1.45344,
        1.46358,
        1.45314,
        1.42013,
        1.42657,
        1.47381,
        1.43587,
        1.48475,
        1.49053,
        1.44765,
        1.41623,
        1.44869,
        1.46816,
        1.43321,
        1.49242,
        1.44538,
        1.43691,
        1.45169,
        1.45913,
        1.44752,
        1.45222,
        1.46841,
        1.47421,
        1.43059,
        1.42943,
        1.43811,
        1.47834,
        1.44313,
        1.41123,
        1.43219,
        1.40901,
        1.41978,
        1.45904,
        1.48359,
        1.43417,
        1.45727,
        1.46989,
        1.44117,
        1.44207,
        1.44154,
        1.43094,
        1.41313,
        1.40117,
        1.4142,
        1.35601,
        1.41949,
        1.39441,
        1.4419,
        1.44937,
        1.40657,
        1.38288,
        1.42349,
        1.43707,
        1.44311,
        1.38783,
        1.40758,
        1.40538,
        1.43369,
        1.3632,
        1.42152,
        1.42728,
        1.38014,
        1.40358,
        1.42727,
        1.44266,
        1.45143,
        1.44132,
        1.45403,
        1.47363,
        1.41493,
        1.42147,
        1.45706,
        1.44888,
        1.45238,
        1.46851,
        1.41944,
        1.42039,
        1.42497,
        1.43153,
        1.4529,
        1.46999,
        1.45385,
        1.41376,
        1.41619,
        1.42385,
        1.4634,
        1.42654,
        1.42209,
        1.4452,
        1.39282,
        1.45663,
        1.42479,
        1.47438,
        1.42117,
        1.42655,
        1.46491,
        1.41673,
        1.38108,
        1.39598,
        1.38223,
        1.39279,
        1.40648,
        1.43243,
        1.42083,
        1.45723,
        1.43097,
        1.44433,
        1.45246,
        1.42063,
        1.41774,
        1.38674,
        1.41491,
        1.39087,
        1.37771,
        1.42915,
        1.3976,
        1.38381,
        1.41748,
        1.37184,
        1.40314,
        1.39124,
        1.43977,
        1.40166,
        1.40838,
        1.43724,
        1.42464,
        1.45085,
        1.40998,
        1.42836,
        1.41228,
        1.43726,
        1.47209,
        1.45896,
        1.42675,
        1.46473,
        1.45642,
        1.45943,
        1.42028,
        1.44295,
        1.46187,
        1.50203,
        1.46054,
        1.42881,
        1.4362,
        1.44133,
        1.39543,
        1.45598,
        1.43549,
        1.43697,
        1.47007,
        1.49185,
        1.47785,
        1.46757,
        1.44939,
        1.4907,
        1.49791,
        1.49679,
        1.52117,
        1.53428,
        1.52461,
        1.47997,
        1.5068,
        1.5122,
        1.50975,
        1.53652,
        1.51251,
        1.51648,
        1.55741,
        1.55667,
        1.57402,
        1.52585,
        1.56125,
        1.52627,
        1.53176,
        1.55912,
        1.54267,
        1.58069,
        1.51451,
        1.49929,
        1.59716,
        1.57479,
        1.55808,
        1.55659,
        1.58908,
        1.59473,
        1.60715,
        1.62071,
        1.57234,
        1.61097,
        1.59014,
        1.57844,
        1.61285,
        1.64806,
        1.61636,
        1.61094,
        1.60775,
        1.61644,
        1.68153,
        1.69305,
        1.68471,
        1.68045,
        1.65003,
        1.6443,
        1.69715,
        1.6698,
        1.63161,
        1.62655,
        1.66453,
        1.62023,
        1.61245,
        1.61991,
        1.6615,
        1.63934,
        1.61567,
        1.61531,
        1.63281,
        1.6238,
        1.63582,
        1.6133,
        1.61036,
        1.62438,
        1.60837,
        1.59448,
        1.59565,
        1.57684,
        1.52461,
        1.57367,
        1.61124,
        1.60304,
        1.60929,
        1.59098,
        1.56455,
        1.58612,
        1.60666,
        1.60768,
        1.61879,
        1.61893,
        1.62073,
        1.63709,
        1.63498,
        1.63485,
        1.63712,
        1.6742,
        1.68026,
        1.62916,
        1.65571,
        1.63595,
        1.65128,
        1.66723,
        1.6536,
        1.63247,
        1.63674,
        1.65828,
        1.68503,
        1.67577,
        1.68186,
        1.65775,
        1.66894,
        1.66249,
        1.69239,
        1.65773,
        1.67266,
        1.66845,
        1.62258,
        1.66813,
        1.69132,
        1.6525,
        1.64965,
        1.66442,
        1.65355,
        1.5814,
        1.63534,
        1.64611,
        1.62217,
        1.63822,
        1.67309,
        1.65054,
        1.6367,
        1.57217,
        1.58188,
        1.64141,
        1.65391,
        1.64411,
        1.60178,
        1.62818,
        1.63257,
        1.63656,
        1.64765,
        1.64505,
        1.65601,
        1.68708,
        1.57639,
        1.64717,
        1.60268,
        1.59612,
        1.65502,
        1.65547,
        1.64763,
        1.63116,
        1.63714,
        1.63951,
        1.67468,
        1.66359,
        1.62796,
        1.65877,
        1.63893,
        1.6397,
        1.61602,
        1.61949,
        1.61647,
        1.61499,
        1.58585,
        1.63499,
        1.60276,
        1.60041,
        1.65694,
        1.64027,
        1.60725,
        1.61509,
        1.62067,
        1.61753,
        1.60445,
        1.57505,
        1.57566,
        1.60423,
        1.6257,
        1.64691,
        1.62519,
        1.59666,
        1.60052,
        1.58085,
        1.58737,
        1.55526,
        1.55692,
        1.558,
        1.55337,
        1.52346,
        1.53106,
        1.54939,
        1.53697,
        1.53069,
        1.54553,
        1.51176,
        1.55594,
        1.52513,
        1.5293,
        1.5639,
        1.55188,
        1.52458,
        1.56358,
        1.54287,
        1.54261,
        1.51139,
        1.56495,
        1.55358,
        1.52149,
        1.55765,
        1.57015,
        1.54305,
        1.50906,
        1.48818,
        1.51356,
        1.52315,
        1.48331,
        1.49232,
        1.52905,
        1.50543,
        1.51091,
        1.4995,
        1.47566,
        1.49129,
        1.51249,
        1.49836,
        1.46355,
        1.47169,
        1.50936,
        1.5133,
        1.50219,
        1.4927,
        1.5174,
        1.48491,
        1.43279,
        1.48987,
        1.5295,
        1.51709,
        1.47283,
        1.46213,
        1.47731,
        1.43706,
        1.46266,
        1.51625,
        1.48426,
        1.55565,
        1.50236,
        1.49397,
        1.44769,
        1.48953,
        1.50639,
        1.48142,
        1.46602,
        1.4593,
        1.44204,
        1.442,
        1.47576,
        1.49927,
        1.49736,
        1.50344,
        1.45468,
        1.49808,
        1.49291,
        1.51742,
        1.55094,
        1.52491,
        1.49434,
        1.51159,
        1.47259,
        1.49522,
        1.52437,
        1.51802,
        1.49853,
        1.46316,
        1.45417,
        1.46821,
        1.53049,
        1.53597,
        1.54663,
        1.54252,
        1.53711,
        1.51264,
        1.48014,
        1.51935,
        1.48393,
        1.4737,
        1.51805,
        1.44277,
        1.48019,
        1.50071,
        1.49931,
        1.49588,
        1.50428,
        1.50352,
        1.52055,
        1.5022,
        1.45507,
        1.47493,
        1.49057,
        1.45898,
        1.52003,
        1.50419,
        1.50763,
        1.51602,
        1.46212,
        1.52718,
        1.5003,
        1.50576,
        1.51683,
        1.53732,
        1.51661,
        1.52542,
        1.50424,
        1.53105,
        1.47089,
        1.49913,
        1.5277,
        1.54935,
        1.50109,
        1.49134,
        1.48055,
        1.48274,
        1.49783,
        1.4192,
        1.45032,
        1.45536,
        1.45701,
        1.44043,
        1.42087,
        1.35882,
        1.38099,
        1.42867,
        1.43361,
        1.45351,
        1.51686,
        1.52239,
        1.56625,
        1.53633,
        1.54893,
        1.59635,
        1.59829,
        1.65101,
        1.66154,
        1.61781,
        1.65035,
        1.62126,
        1.64814,
        1.63036,
        1.69706,
        1.6812,
        1.72597,
        1.71864,
        1.68633,
        1.66122,
        1.62722,
        1.65551,
        1.54626,
        1.57913,
        1.64606,
        1.65268,
        1.5979,
        1.47011,
        1.48555,
        1.52072,
        1.60953,
        1.79822,
        1.97774,
        2.02811,
        1.99788,
        1.99574,
        2.05338,
        2.04453,
        2.00896,
        1.98585,
        1.99133,
        1.99704,
        2.00945,
        1.92099,
        1.89687,
        1.91777,
        1.93693,
        1.90504,
        1.84594,
        1.88744,
        1.84433,
        1.78102,
        1.7833,
        1.75402,
        1.81077,
        1.70554,
        1.7901,
        1.84658,
        1.77097,
        1.81462,
        1.78784,
        1.81208,
        1.76332,
        1.80757,
        1.76141,
        1.73192,
        1.82561,
        1.92286,
        2.02671,
        1.82395,
        1.7623,
        1.92451,
        1.85347,
        1.71195,
        2.12227,
        2.2568,
        2.08592,
        1.91743,
        1.82555,
        2.0307,
        1.93147,
        1.94427,
        1.86032,
        1.67662,
        1.75906,
        1.61141,
        1.67613,
        1.67441,
        1.79966,
        1.84763,
        1.87796,
        1.74165,
        1.63516,
        1.67955,
        1.71498,
        1.86038,
        1.92952,
        1.91472,
        1.9269,
        1.80385,
        1.6953,
        1.7356,
        1.85978,
        2.24735,
        1.88119,
        2.06483,
        1.70289,
        1.99072,
        1.77488,
        1.81484,
        1.70921,
        1.76829,
        1.69691,
        1.68853,
        1.64191,
        1.67415,
        1.83243,
        1.73797,
        1.64868,
        1.69696,
        1.65952,
        1.62643,
        1.50046,
        1.53667,
        1.60148,
        1.58848,
        1.54037,
        1.54611,
        1.6758,
        1.59244,
        1.50087,
        1.46208,
        1.5325,
        1.48911,
        1.51321,
        1.53678,
        1.54024,
        1.54838,
        1.53837,
        1.49628,
        1.51455,
        1.51749,
        1.48635,
        1.52779,
        1.54281,
        1.60513,
        1.57765,
        1.55215,
        1.57312,
        1.47123,
        1.59122,
        1.56515,
        1.5703,
        1.54574,
        1.58036,
        1.59358,
        1.60573,
        1.52685,
        1.53081,
        1.47319,
        1.50854,
        1.59377,
        1.54672,
        1.54572,
        1.55396,
        1.47811,
        1.57362,
        1.58664,
        1.55682,
        1.61296,
        1.56821,
        1.56748,
        1.58936,
        1.56847,
        1.55942,
        1.60442,
        1.62586,
        1.64825,
        1.56814,
        1.59115,
        1.62786,
        1.58099,
        1.57714,
        1.6208,
        1.64129,
        1.61247,
        1.5958,
        1.56657,
        1.5857,
        1.61972,
        1.5941,
        1.64525,
        1.60365,
        1.61897,
        1.56386,
        1.614,
        1.68335,
        1.63123,
        1.64615,
        1.62402,
        1.68403,
        1.61279,
        1.61561,
        1.60568,
        1.57909,
        1.60302,
        1.66596,
        1.63818,
        1.67577,
        1.655,
        1.6178,
        1.54738,
        1.60723,
        1.60159,
        1.59338,
        1.62555,
        1.62415,
        1.63724,
        1.63492,
        1.59598,
        1.56764,
        1.62738,
        1.59301,
        1.64043,
        1.60383,
        1.60207,
        1.5684,
        1.58773,
        1.59512,
        1.57635,
        1.52823,
        1.54116,
        1.52976,
        1.53925,
        1.52882,
        1.59846,
        1.55166,
        1.52944,
        1.56759,
        1.55151,
        1.58908,
        1.53316,
        1.58731,
        1.61865,
        1.57359,
        1.57316,
        1.55369,
        1.54353,
        1.54532,
        1.57308,
        1.52511,
        1.54714,
        1.51093,
        1.49561,
        1.48011,
        1.50741,
        1.56019,
        1.50215,
        1.53064,
        1.51422,
        1.50596,
        1.55797,
        1.55576,
        1.53909,
        1.48083,
        1.57672,
        1.52019,
        1.50581,
        1.47701,
        1.56838,
        1.53814,
        1.52802,
        1.52596,
        1.54136,
        1.57484,
        1.61354,
        1.53992,
        1.59063,
        1.57266,
        1.5621,
        1.58463,
        1.58246,
        1.5886,
        1.57879,
        1.60989,
        1.59609,
        1.58797,
        1.62874,
        1.68719,
        1.60214,
        1.66659,
        1.65704,
        1.63506,
        1.62818,
        1.67151,
        1.65083,
        1.60872,
        1.64125,
        1.66364,
        1.64416,
        1.68073,
        1.70604,
        1.70711,
        1.66778,
        1.55758,
        1.62061,
        1.62438,
        1.59953,
        1.65651,
        1.66802,
        1.66945,
        1.67033,
        1.67545,
        1.6788,
        1.6429,
        1.66318,
        1.64464,
        1.644,
        1.63486,
        1.6757,
        1.63463,
        1.62985,
        1.6642,
        1.64261,
        1.68364,
        1.69027,
        1.6844,
        1.65239,
        1.62441,
        1.59553,
        1.51675,
        1.56143,
        1.55181,
        1.5905,
        1.54,
        1.60467,
        1.54915,
        1.58206,
        1.59075,
        1.53227,
        1.5304,
        1.5726,
        1.59966,
        1.58029,
        1.57939,
        1.5486,
        1.52491,
        1.56367,
        1.61223,
        1.5437,
        1.56393,
        1.59458,
        1.56502,
        1.55143,
        1.47612,
        1.45088,
        1.48918,
        1.54113,
        1.51335,
        1.49332,
        1.52374,
        1.41781,
        1.48773,
        1.48568,
        1.53197,
        1.51467,
        1.45645,
        1.44327,
        1.50431,
        1.47996,
        1.41506,
        1.46419,
        1.47029,
        1.439,
        1.45957,
        1.49245,
        1.45828,
        1.5063,
        1.43539,
        1.44574,
        1.47373,
        1.53061,
        1.4774,
        1.47569,
        1.42386,
        1.45367,
        1.52048,
        1.47439,
        1.45412,
        1.50957,
        1.49332,
        1.40625,
        1.43451,
        1.4693,
        1.50415,
        1.47502,
        1.46825,
        1.50009,
        1.46306,
        1.48452,
        1.41258,
        1.41834,
        1.47099,
        1.45821,
        1.44751,
        1.3681,
        1.48312,
        1.48634,
        1.42996,
        1.45531,
        1.47915,
        1.45677,
        1.46532,
        1.4489,
        1.4297,
        1.48425,
        1.46644,
        1.47755,
        1.49819,
        1.49946,
        1.47138,
        1.43517,
        1.4257,
        1.48826,
        1.45372,
        1.40331,
        1.47061,
        1.49146,
        1.45031,
        1.42893,
        1.40876,
        1.41686,
        1.44464,
        1.45278,
        1.43303,
        1.44081,
        1.44989,
        1.47233,
        1.43107,
        1.45649,
        1.45062,
        1.43532,
        1.49443,
        1.43147,
        1.48933,
        1.42754,
        1.45521,
        1.4543,
        1.46441,
        1.45172,
        1.41712,
        1.44504,
        1.47391,
        1.40638,
        1.43593,
        1.46062,
        1.47366,
        1.49245,
        1.50903,
        1.44957,
        1.48539,
        1.48878,
        1.43902,
        1.50076,
        1.5079,
        1.42931,
        1.47385,
        1.47565,
        1.45296,
        1.50098,
        1.58206,
        1.50881,
        1.56588,
        1.54457,
        1.48149,
        1.5115,
        1.58579,
        1.51146,
        1.62086,
        1.4836,
        1.46166,
        1.55449,
        1.48255,
        1.50611,
        1.45028,
        1.48677,
        1.49138,
        1.51986,
        1.4647,
        1.50432,
        1.52249,
        1.51544,
        1.52842,
        1.47306,
        1.50788,
        1.43935,
        1.47802,
        1.50114,
        1.55682,
        1.53312,
        1.57923,
        1.54473,
        1.48811,
        1.56552,
        1.5674,
        1.48613,
        1.50223,
        1.53437,
        1.6783,
        1.57491,
        1.74367,
        1.7176,
        1.62039,
        1.69228,
        1.60669,
        1.58356,
        1.55445,
        1.54892,
        1.56599,
        1.49939,
        1.78695,
        1.66501,
        1.84563,
        1.66877,
        1.75382,
        1.78359,
        1.92426,
        1.81935,
        1.87757,
        1.8991,
        2.32101,
        2.71382,
        null,
        1.75603,
        1.66894,
        1.67141,
        1.70589,
        1.71451,
        1.78082,
        1.72863,
        1.70193,
        1.68451,
        1.65811,
        1.67982,
        1.69801,
        1.68102,
        1.70797,
        1.60789,
        1.63113,
        1.64371,
        1.68719,
        1.65369,
        1.6517,
        1.68826,
        1.67253,
        1.57878,
        1.59617,
        1.60018,
        1.64348,
        1.64572,
        1.59614,
        1.59322,
        1.63828,
        1.62452,
        1.6154,
        1.62041,
        1.57741,
        1.56219,
        1.61028,
        1.64989,
        1.60676,
        1.64754,
        1.61038,
        1.6027,
        1.61197,
        1.64641,
        1.61619,
        1.58036,
        1.60668,
        1.55917,
        1.57869,
        1.63134,
        1.62683,
        1.59769,
        1.59569,
        1.51984,
        1.54131,
        1.58919,
        1.55348,
        1.49782,
        1.5568,
        1.57312,
        1.5546,
        1.52496,
        1.53046,
        1.51021,
        1.5052,
        1.55447,
        1.5754,
        1.57621,
        1.54737,
        1.49025,
        1.59814,
        1.55494,
        1.56972,
        1.57798,
        1.58348,
        1.57605,
        1.57677,
        1.59267,
        1.57976,
        1.54678,
        1.61778,
        1.60404,
        1.47888,
        1.45586,
        1.58535,
        1.59599,
        1.64678,
        1.61072,
        1.62998,
        1.61097,
        1.55725,
        1.64724,
        1.6198,
        1.62834,
        1.68922,
        1.73656,
        1.70574,
        1.72795,
        1.64511,
        1.70213,
        1.65574,
        1.67064,
        1.69378,
        1.58418,
        1.67396,
        1.70662,
        1.62709,
        1.62631,
        1.54041,
        1.52308,
        1.60375,
        1.72552,
        1.68486,
        1.7167,
        1.75229,
        1.72447,
        1.80827,
        1.87046,
        1.69543,
        1.78363,
        1.75481,
        1.82045,
        1.92916,
        1.71046,
        1.85579,
        2.26692,
        2.13167,
        2.16716,
        1.94023,
        2.06386,
        1.95949,
        1.65625,
        1.5849,
        1.7968,
        1.88405,
        1.81403,
        1.73974,
        1.86427,
        1.86739,
        1.73133,
        1.84066,
        2.04127,
        1.8547,
        1.7657,
        1.80382,
        1.80924,
        1.81015,
        1.97265,
        1.86581,
        1.91294,
        1.67897,
        1.88588,
        1.87366,
        2.04445,
        2.21473,
        2.26155,
        2.54535,
        2.49997,
        2.70491,
        2.41701,
        2.47881,
        2.4914,
        2.46405,
        2.24504,
        1.91885,
        1.93243,
        2.27732,
        2.0683,
        2.02009,
        1.84061,
        2.09287,
        2.05904,
        1.97554,
        1.75186,
        1.91957,
        1.8711,
        1.90531,
        2.25773,
        2.37291,
        2.31142,
        2.35462,
        2.29283,
        2.19913,
        2.18468,
        2.13938,
        2.13829,
        2.16601,
        2.15112,
        2.00905,
        1.93149,
        2.12919,
        2.06758,
        2.04435,
        2.10168,
        2.09753,
        2.09234,
        1.86752,
        1.86544,
        1.95766,
        1.8422,
        1.83266,
        1.88512,
        1.87459,
        1.94134,
        1.84614,
        1.87863,
        1.91878,
        1.84213,
        1.86247,
        1.71112,
        1.80557,
        1.82716,
        1.82348,
        1.87251,
        1.88594,
        1.83162,
        1.87892,
        1.82869,
        1.93424,
        1.94939,
        1.69622,
        1.7038,
        1.79992,
        1.73835,
        1.86844,
        1.6226,
        1.75839,
        1.78883,
        1.70588,
        1.86469,
        1.62275,
        1.42316,
        1.42681,
        1.61797,
        1.76069,
        1.64236,
        1.68081,
        1.57025,
        1.56696,
        1.69489,
        1.50802,
        1.6209,
        1.80958,
        2.10387,
        2.18792,
        2.03066,
        2.03801,
        2.22698,
        1.89364,
        2.14435,
        2.12659,
        2.12746,
        2.43506,
        2.11208,
        2.34331,
        null,
        2.47358,
        2.2756,
        2.10967,
        2.26812,
        1.74664,
        1.87259,
        1.92684,
        2.11345,
        2.02033,
        1.99874,
        2.13227,
        1.91445,
        1.74275,
        1.97283,
        1.81089,
        2.11737,
        2.02377,
        1.81364,
        1.97761,
        1.94785,
        1.96131,
        1.91708,
        1.84856,
        1.88784,
        1.924,
        1.86164,
        1.73893,
        1.79448,
        1.69813,
        1.8235,
        1.80448,
        1.74708,
        1.76586,
        1.72558,
        1.7614,
        1.74522,
        1.82593,
        1.82995,
        1.85969,
        1.90984,
        1.80255,
        1.72498,
        1.8597,
        1.83999,
        1.80723,
        1.74135,
        1.73494,
        1.80784,
        1.76298,
        1.8448,
        1.82204,
        1.89317,
        1.91962,
        1.82512,
        1.78329,
        1.8112,
        1.79539,
        1.79483,
        1.84505,
        1.72589,
        1.71644,
        1.6913,
        1.82235,
        1.8258,
        1.83945,
        1.73986,
        1.69321,
        1.64696,
        1.66029,
        1.7257,
        1.7461,
        1.81774,
        1.78283,
        1.70775,
        1.75073,
        1.73623,
        1.79546,
        1.74128,
        1.74662,
        1.78121,
        1.72607,
        1.79592,
        1.78095,
        1.70357,
        1.71334,
        1.63964,
        1.75589,
        1.73321,
        1.74389,
        1.73062,
        1.73951,
        1.65636,
        1.71954,
        1.75745,
        1.73242,
        1.69367,
        1.70098,
        1.67724,
        1.64158,
        1.63414,
        1.63503,
        1.67474,
        1.69523,
        1.70709,
        1.68952,
        1.68039,
        1.61246,
        1.59268,
        1.63047,
        1.62116,
        1.6224,
        1.56924,
        1.59829,
        1.53851,
        1.62048,
        1.53412,
        1.55776,
        1.56646,
        1.58903,
        1.56993,
        1.57127,
        1.56219,
        1.56249,
        1.53063,
        1.53249,
        1.57745,
        1.48459,
        1.5668,
        1.58653,
        1.49851,
        1.50297,
        1.56896,
        1.50504,
        1.48302,
        1.53285,
        1.54737,
        1.56585,
        1.56821,
        1.55925,
        1.5436,
        1.52704,
        1.52612,
        1.5278,
        1.5361,
        1.5292,
        1.5407,
        1.54745,
        1.48728,
        1.56312,
        1.60271,
        1.58885,
        1.54706,
        1.58218,
        1.51833,
        1.51467,
        1.57697,
        1.58035,
        1.55199,
        1.55782,
        1.49161,
        1.51232,
        1.50034,
        1.51057,
        1.50796,
        1.50784,
        1.50378,
        1.48896,
        1.49787,
        1.47906,
        1.50581,
        1.55273,
        1.50328,
        1.50934,
        1.53557,
        1.52903,
        1.49759,
        1.58606,
        1.55116,
        1.52002,
        1.49454,
        1.51108,
        1.56682,
        1.51872,
        1.46921,
        1.51672,
        1.50983,
        1.53172,
        1.56696,
        1.46562,
        1.53294,
        1.56378,
        1.56799,
        1.55842,
        1.52044,
        1.51986,
        1.55438,
        1.51186,
        1.47897,
        1.46859,
        1.51019,
        1.53728,
        1.53216,
        1.51419,
        1.54804,
        1.52229,
        1.55597,
        1.55601,
        1.53722,
        1.53345,
        1.51,
        1.52336,
        1.52118,
        1.50103,
        1.50643,
        1.46946,
        1.50112,
        1.54587,
        1.56307,
        1.52377,
        1.55607,
        1.55046,
        1.58862,
        1.46072,
        1.46501,
        1.51534,
        1.52444,
        1.49774,
        1.57107,
        1.55689,
        1.5336,
        1.55413,
        1.54241,
        1.54023,
        1.54308,
        1.48209,
        1.58283,
        1.53223,
        1.50729,
        1.47119,
        1.48564,
        1.46607,
        1.5488,
        1.4982,
        1.50336,
        1.51568,
        1.46685,
        1.47629,
        1.48381,
        1.4662,
        1.49435,
        1.46111,
        1.48198,
        1.46262,
        1.48118,
        1.51705,
        1.50973,
        1.48469,
        1.54197,
        1.55044,
        1.53164,
        1.50645,
        1.47764,
        1.51141,
        1.47343,
        1.50263,
        1.5118,
        1.48605,
        1.4909,
        1.51879,
        1.49252,
        1.47609,
        1.46225,
        1.46953,
        1.44947,
        1.46689,
        1.49985,
        1.48953,
        1.50567,
        1.505,
        1.48316,
        1.50002,
        1.50421,
        1.53335,
        1.53752,
        1.49709,
        1.50159,
        1.49326,
        1.53546,
        1.45878,
        1.52681,
        1.55093,
        1.51397,
        1.52102,
        1.58081,
        1.5931,
        1.545,
        1.53125,
        1.51419,
        1.4789,
        1.51019,
        1.48109,
        1.47492,
        1.55712,
        1.51276,
        1.5037,
        1.51915,
        1.52062,
        1.53719,
        1.53698,
        1.54062,
        1.51384,
        1.51279,
        1.48367,
        1.52337,
        1.53114,
        1.52712,
        1.55276,
        1.50692,
        1.49967,
        1.54463,
        1.53646,
        1.51694,
        1.51604,
        1.51256,
        1.53967,
        1.51364,
        1.53518,
        1.56062,
        1.58131,
        1.53754,
        1.54243,
        1.59393,
        1.58798,
        1.57548,
        1.59222,
        1.5906,
        1.59398,
        1.58501,
        1.57679,
        1.56914,
        1.56956,
        1.58575,
        1.56684,
        1.55849,
        1.53552,
        1.48601,
        1.50074,
        1.46417,
        1.47302,
        1.51382,
        1.56356,
        1.58015,
        1.58798,
        1.54443,
        1.57972,
        1.63119,
        1.64182,
        1.66396,
        1.6573,
        1.6819,
        1.60441,
        1.64447,
        1.6495,
        1.68433,
        1.69957,
        1.68805,
        1.72898,
        1.75216,
        1.78784,
        1.72411,
        1.65338,
        1.62906,
        1.68032,
        1.68332,
        1.70034,
        1.69437,
        1.59392,
        1.60526,
        1.62825,
        1.74756,
        1.89035,
        1.92915,
        1.95192,
        1.94994,
        1.95781,
        1.95292,
        1.98657,
        1.95373,
        1.90284,
        1.91593,
        1.9146,
        1.89987,
        1.89486,
        1.84429,
        1.85131,
        1.82164,
        1.81617,
        1.7604,
        1.7674,
        1.72825,
        1.74766,
        1.74226,
        1.71013,
        1.73962,
        1.74681,
        1.71634,
        1.73032,
        1.73984,
        1.77059,
        1.76339,
        1.72939,
        1.71069,
        1.7511,
        1.73901,
        1.71001,
        1.71355,
        1.72196,
        1.71699,
        1.73109,
        1.70747,
        1.69894,
        1.73008,
        1.70431,
        1.7364,
        1.74511,
        1.75796,
        1.73536,
        1.6941,
        1.7059,
        1.72993,
        1.71367,
        1.67716,
        1.6989,
        1.69542,
        1.67154,
        1.69571,
        1.7066,
        1.72178,
        1.71449,
        1.69764,
        1.68319,
        1.67091,
        1.64956,
        1.66111,
        1.67195,
        1.65988,
        1.66581,
        1.6914,
        1.68526,
        1.66268,
        1.65437,
        1.65063,
        1.70083,
        1.66478,
        1.62742,
        1.64335,
        1.6888,
        1.66279,
        1.59873,
        1.62374,
        1.63214,
        1.6055,
        1.6322,
        1.64032,
        1.64926,
        1.62991,
        1.58487,
        1.56439,
        1.62854,
        1.62974,
        1.61499,
        1.61594,
        1.61845,
        1.63979,
        1.64935,
        1.66444,
        1.62082,
        1.59345,
        1.56338,
        1.56153,
        1.59048,
        1.56791,
        1.55827,
        1.57243,
        1.60217,
        1.56438,
        1.57777,
        1.55976,
        1.55843,
        1.56386,
        1.59218,
        1.63281,
        1.56764,
        1.62604,
        1.59484,
        1.62206,
        1.57445,
        1.61149,
        1.63378,
        1.60234,
        1.58339,
        1.5416,
        1.56781,
        1.55417,
        1.54162,
        1.58716,
        1.64264,
        1.64233,
        1.6207,
        1.64051,
        1.61514,
        1.69663,
        1.63621,
        1.57381,
        1.59012,
        1.63368,
        1.58489,
        1.60995,
        1.63068,
        1.58253,
        1.57786,
        1.63218,
        1.63663,
        1.59432,
        1.62052,
        1.6217,
        1.616,
        1.62575,
        1.60753,
        1.59014,
        1.61994,
        1.6501,
        1.66682,
        1.65119,
        1.60562,
        1.6236,
        1.61283,
        1.59501,
        1.58328,
        1.61442,
        1.61803,
        1.55749,
        1.60719,
        1.58655,
        1.55106,
        1.55064,
        1.59679,
        1.61719,
        1.53777,
        1.52877,
        1.55091,
        1.56728,
        1.53799,
        1.56199,
        1.58615,
        1.49862,
        1.55253,
        1.53358,
        1.51169,
        1.49293,
        1.53295,
        1.55392,
        1.57518,
        1.52831,
        1.50854,
        1.50751,
        1.50931,
        1.55463,
        1.54174,
        1.51678,
        1.54953,
        1.53369,
        1.49778,
        1.5093,
        1.56904,
        1.56466,
        1.58154,
        1.54643,
        1.55207,
        1.52572,
        1.55879,
        1.57835,
        1.57262,
        1.58549,
        1.54047,
        1.53632,
        1.59217,
        1.59173,
        1.60168,
        1.62418,
        1.56755,
        1.56861,
        1.61599,
        1.63766,
        1.6723,
        1.61663,
        1.62654,
        1.60707,
        1.63849,
        1.63752,
        1.65981,
        1.70872,
        1.68514,
        1.72638,
        1.71069,
        1.7069,
        1.69747,
        1.71982,
        1.69487,
        1.65886,
        1.68371,
        1.67241,
        1.68444,
        1.63841,
        1.68361,
        1.68017,
        1.66606,
        1.67341,
        1.63298,
        1.65257,
        1.70718,
        1.63779,
        1.62897,
        1.61351,
        1.60189,
        1.64459,
        1.6209,
        1.64449,
        1.60364,
        1.6031,
        1.66495,
        1.63064,
        1.61662,
        1.64709,
        1.6406,
        1.63746,
        1.61882,
        1.59671,
        1.65955,
        1.64909,
        1.61883,
        1.64356,
        1.63479,
        1.65486,
        1.6643,
        1.64939,
        1.66297,
        1.6576,
        1.69194,
        1.68723,
        1.6301,
        1.56577,
        1.62314,
        1.64042,
        1.66739,
        1.60279,
        1.55631,
        1.55657,
        1.57592,
        1.56,
        1.5542,
        1.55482,
        1.54367,
        1.52258,
        1.58674,
        1.57272,
        1.53962,
        1.53357,
        1.52203,
        1.51677,
        1.52499,
        1.51484,
        1.47122,
        1.51759,
        1.48691,
        1.48651,
        1.48913,
        1.46195,
        1.52021,
        1.50438,
        1.54449,
        1.52389,
        1.50406,
        1.49844,
        1.51457,
        1.50594,
        1.51087,
        1.48703,
        1.47593,
        1.51086,
        1.48152,
        1.54572,
        1.51519,
        1.51679,
        1.50801,
        1.4826,
        1.42455,
        1.49063,
        1.50105,
        1.51297,
        1.49419,
        1.5155,
        1.49768,
        1.4715,
        1.45731,
        1.50639,
        1.48022,
        1.53779,
        1.56302,
        1.54171,
        1.54574,
        1.55567,
        1.52317,
        1.51396,
        1.49636,
        1.43622,
        1.41689,
        1.48642,
        1.49422,
        1.52862,
        1.54472,
        1.54686,
        1.47957,
        1.51419,
        1.50862,
        1.45951,
        1.50237,
        1.51339,
        1.48623,
        1.50231,
        1.45328,
        1.45092,
        1.47904,
        1.45379,
        1.49578,
        1.50928,
        1.53197,
        1.52828,
        1.53232,
        1.53902,
        1.51046,
        1.50253,
        1.47986,
        1.47839,
        1.46804,
        1.48267,
        1.52372,
        1.48753,
        1.47881,
        1.53306,
        1.4981,
        1.50594,
        1.52056,
        1.51287,
        1.46769,
        1.47043,
        1.48631,
        1.47852,
        1.50512,
        1.50841,
        1.50311,
        1.51245,
        1.50408,
        1.52787,
        1.4697,
        1.47088,
        1.4822,
        1.49012,
        1.44098,
        1.48317,
        1.50572,
        1.4931,
        1.51085,
        1.48669,
        1.44793,
        1.44975,
        1.46142,
        1.49999,
        1.53516,
        1.56408,
        1.48495,
        1.54556,
        1.49739,
        1.4515,
        1.47102,
        1.44867,
        1.45859,
        1.49549,
        1.51249,
        1.55178,
        1.5405,
        1.48521,
        1.48595,
        1.48386,
        1.51595,
        1.50528,
        1.51253,
        1.51353,
        1.52111,
        1.48304,
        1.46971,
        1.51193,
        1.55885,
        1.5072,
        1.4986,
        1.54012,
        1.58024,
        1.61727,
        1.54337,
        1.53287,
        1.5277,
        1.56654,
        1.54749,
        1.49185,
        1.58223,
        1.62935,
        1.58774,
        1.58776,
        1.54693,
        1.73543,
        1.80297,
        1.83983,
        1.86377,
        1.78116,
        1.65047,
        1.63375,
        1.74784,
        1.93614,
        1.77232,
        1.70641,
        1.89303,
        2.20081,
        1.79305,
        1.76598,
        1.97354,
        1.86187,
        1.91703,
        1.77298,
        1.7095,
        1.8549,
        1.82118,
        1.74603,
        1.64003,
        1.61222,
        1.62307,
        1.6773,
        1.60388,
        1.60204,
        1.54776,
        1.5053,
        1.51181,
        1.55702,
        1.60979,
        1.55273,
        1.54632,
        1.52298,
        1.47946,
        1.55043,
        1.5205,
        1.56284,
        1.52514,
        1.55566,
        1.54091,
        1.59532,
        1.53506,
        1.5215,
        1.52209,
        1.45521,
        1.5062,
        1.53866,
        1.48314,
        1.52953,
        1.61208,
        1.55641,
        1.50272,
        1.43945,
        1.49914,
        1.53375,
        1.56184,
        1.58635,
        1.50691,
        1.46308,
        1.58277,
        1.58475,
        1.6378,
        1.54564,
        1.48063,
        1.55565,
        1.55452,
        1.54028,
        1.51283,
        1.53842,
        1.57086,
        1.57112,
        1.53358,
        1.5297,
        1.55332,
        1.53786,
        1.56444,
        1.52044,
        1.57157,
        1.51307,
        1.52084,
        1.53304,
        1.48021,
        1.50006,
        1.48407,
        1.5285,
        1.4923,
        1.51562,
        1.47219,
        1.47049,
        1.51962,
        1.56029,
        1.62899,
        1.62073,
        1.64133,
        1.71827,
        1.7355,
        1.7214,
        1.76141,
        1.77291,
        1.70806,
        1.67719,
        1.67483,
        1.72808,
        1.78307,
        1.79911,
        1.75645,
        1.81139,
        1.83338,
        1.77795,
        1.74504,
        1.70283,
        1.70309,
        1.74104,
        1.75519,
        1.74455,
        1.73,
        1.69324,
        1.71938,
        1.84885,
        1.93526,
        2.05522,
        2.04328,
        2.08259,
        2.05378,
        2.02259,
        1.99662,
        1.97748,
        2.00247,
        2.02183,
        1.99964,
        2.00109,
        2.02445,
        2.02241,
        1.9612,
        1.89139,
        1.97119,
        1.99817,
        1.96269,
        1.93467,
        1.95345,
        1.86851,
        1.89839,
        1.83632,
        1.83617,
        1.90131,
        1.82068,
        1.80854,
        1.82614,
        1.86212,
        1.84846,
        1.79866,
        1.89858,
        1.98923,
        1.88141,
        1.88398,
        1.8618,
        1.76102,
        1.76445,
        1.83492,
        1.89295,
        1.80717,
        1.85105,
        1.85659,
        1.7955,
        1.73647,
        1.91396,
        1.94998,
        1.83092,
        1.76221,
        2.0411,
        2.02882,
        2.09618,
        1.97304,
        1.99948,
        1.86954,
        1.95479,
        1.89086,
        1.9141,
        2.01,
        2.16535,
        1.94268,
        2.10491,
        1.78582,
        2.01932,
        1.90962,
        2.1908,
        1.88139,
        1.72728,
        1.81971,
        1.76903,
        1.76523,
        1.71476,
        1.6836,
        1.76564,
        1.83412,
        1.70615,
        1.86328,
        1.85617,
        1.72254,
        1.62601,
        1.6899,
        1.684,
        1.65006,
        1.74226,
        1.69444,
        1.67656,
        1.63909,
        1.73241,
        1.68858,
        1.61135,
        1.5724,
        1.58778,
        1.58696,
        1.66097,
        1.58265,
        1.58377,
        1.5716,
        1.58093,
        1.56479,
        1.59593,
        1.63937,
        1.64918,
        1.6815,
        1.66037,
        1.62761,
        1.63323,
        1.62855,
        1.58138,
        1.55337,
        1.5768,
        1.57193,
        1.58722,
        1.54413,
        1.60241,
        1.63579,
        1.63521,
        1.5233,
        1.55167,
        1.55604,
        1.58408,
        1.59093,
        1.54562,
        1.55669,
        1.54696,
        1.53592,
        1.55367,
        1.57736,
        1.57435,
        1.58644,
        1.58487,
        1.54841,
        1.57213,
        1.56821,
        1.63305,
        1.59821,
        1.50301,
        1.55662,
        1.50371,
        1.56012,
        1.56957,
        1.56858,
        1.61621,
        1.592,
        1.55639,
        1.51683,
        1.51508,
        1.52042,
        1.57006,
        1.59546,
        1.57648,
        1.55014,
        1.58101,
        1.59812,
        1.59986,
        1.61981,
        1.59283,
        1.55295,
        1.66091,
        1.61101,
        1.64824,
        1.64532,
        1.66851,
        1.61053,
        1.6312,
        1.6325,
        1.66242,
        1.65345,
        1.68778,
        1.72617,
        1.69931,
        1.67656,
        1.68946,
        1.67697,
        1.68861,
        1.61878,
        1.64799,
        1.7119,
        1.69404,
        1.7255,
        1.68578,
        1.70552,
        1.72826,
        1.6724,
        1.64461,
        1.66736,
        1.71858,
        1.68687,
        1.66093,
        1.66932,
        1.7017,
        1.66736,
        1.65645,
        1.70413,
        1.64377,
        1.65831,
        1.71051,
        1.64869,
        1.63359,
        1.58882,
        1.59931,
        1.57554,
        1.63585,
        1.67468,
        1.64216,
        1.55851,
        1.56472,
        1.5793,
        1.62621,
        1.65648,
        1.61237,
        1.60208,
        1.58496,
        1.62442,
        1.66391,
        1.65086,
        1.58714,
        1.5708,
        1.59768,
        1.59564,
        1.54276,
        1.57336,
        1.61988,
        1.56738,
        1.54706,
        1.57285,
        1.54862,
        1.52843,
        1.55819,
        1.5581,
        1.5323,
        1.5227,
        1.50606,
        1.53424,
        1.53727,
        1.4865,
        1.48485,
        1.51512,
        1.52608,
        1.57985,
        1.5536,
        1.50932,
        1.46893,
        1.47817,
        1.50087,
        1.50572,
        1.47865,
        1.48811,
        1.48014,
        1.53105,
        1.4891,
        1.48472,
        1.47536,
        1.4821,
        1.44496,
        1.47195,
        1.39882,
        1.43729,
        1.47338,
        1.49477,
        1.45712,
        1.47182,
        1.47477,
        1.43114,
        1.46587,
        1.4908,
        1.51572,
        1.45657,
        1.41045,
        1.43711,
        1.49535,
        1.49331,
        1.42758,
        1.45815,
        1.47243,
        1.50851,
        1.50209,
        1.48538,
        1.47135,
        1.49105,
        1.51628,
        1.43989,
        1.42296,
        1.48576,
        1.53526,
        1.51766,
        1.44072,
        1.48629,
        1.49313,
        1.51465,
        1.49353,
        1.48893,
        1.46485,
        1.38605,
        1.46562,
        1.449,
        1.48338,
        1.45838,
        1.46985,
        1.44052,
        1.45091,
        1.44047,
        1.41611,
        1.51138,
        1.42112,
        1.53503,
        1.63528,
        1.41762,
        1.50578,
        1.46319,
        1.48033,
        1.50758,
        1.53588,
        1.58076,
        1.4749,
        1.56187,
        1.51216,
        1.58127,
        1.56807,
        1.60398,
        1.46161,
        1.52826,
        1.49486,
        1.52353,
        1.55394,
        1.50687,
        1.48088,
        1.50514,
        1.47073,
        1.47835,
        1.47743,
        1.4899,
        1.48939,
        1.45832,
        1.50661,
        1.5174,
        1.49792,
        1.46883,
        1.51741,
        1.49749,
        1.50232,
        1.48418,
        1.48158,
        1.48612,
        1.5136,
        1.46202,
        1.52088,
        1.54045,
        1.51514,
        1.53712,
        1.48309,
        1.47599,
        1.463,
        1.52695,
        1.49608,
        1.47828,
        1.51521,
        1.51201,
        1.4862,
        1.49935,
        1.47189,
        1.44584,
        1.43053,
        1.45548,
        1.4593,
        1.4502,
        1.47746,
        1.47899,
        1.52711,
        1.51743,
        1.50297,
        1.46569,
        1.49331,
        1.48059,
        1.49967,
        1.48842,
        1.54155,
        1.56772,
        1.49418,
        1.49638,
        1.49716,
        1.52659,
        1.48557,
        1.52508,
        1.53506,
        1.45041,
        1.48728,
        1.51734,
        1.54215,
        1.50926,
        1.53599,
        1.46008,
        1.51398,
        1.51423,
        1.51852,
        1.51034,
        1.45742,
        1.42167,
        1.51426,
        1.54262,
        1.54019,
        1.53254,
        1.48995,
        1.46917,
        1.44856,
        1.45484,
        1.50409,
        1.52816,
        1.49539,
        1.48121,
        1.44436,
        1.49463,
        1.4659,
        1.44735,
        1.48311,
        1.47071,
        1.454,
        1.44341,
        1.49802,
        1.44999,
        1.4284,
        1.45488,
        1.4583,
        1.48596,
        1.52404,
        1.4453,
        1.47516,
        1.5141,
        1.52135,
        1.51921,
        1.51316,
        1.46571,
        1.46847,
        1.53376,
        1.50426,
        1.55468,
        1.46459,
        1.48524,
        1.52687,
        1.49018,
        1.48169,
        1.48176,
        1.46873,
        1.45075,
        1.4334,
        1.42382,
        1.50096,
        1.52398,
        1.50953,
        1.47552,
        1.50237,
        1.51803,
        1.51362,
        1.5011,
        1.47602,
        1.53682,
        1.53611,
        1.52571,
        1.49709,
        1.49826,
        1.52446,
        1.51323,
        1.4939,
        1.53672,
        1.57537,
        1.53423,
        1.52295,
        1.52338,
        1.5258,
        1.51591,
        1.53526,
        1.54365,
        1.53098,
        1.54582,
        1.55901,
        1.59756,
        1.47248,
        1.53371,
        1.6096,
        1.60251,
        1.5659,
        1.55216,
        1.50825,
        1.58482,
        1.50436,
        1.52689,
        1.51967,
        1.57348,
        1.57034,
        1.55082,
        1.65008,
        1.55997,
        1.5424,
        1.55649,
        1.5774,
        1.67219,
        1.54169,
        1.52842,
        1.63054,
        1.52004,
        1.60373,
        1.57925,
        1.60097,
        1.58095,
        1.58033,
        1.53172,
        1.56567,
        1.59909,
        1.63272,
        1.65247,
        1.50412,
        1.5396,
        1.6325,
        1.65466,
        1.64804,
        1.62962,
        1.66054,
        1.61805,
        1.63035,
        1.57372,
        1.59708,
        1.65803,
        1.58969,
        1.64958,
        1.63822,
        1.59428,
        1.66254,
        1.73324,
        1.70269,
        1.71573,
        1.71116,
        1.72725,
        1.68429,
        1.71866,
        1.62265,
        1.67546,
        1.67157,
        1.63652,
        1.67445,
        1.73792,
        1.66443,
        1.74454,
        1.69878,
        1.72483,
        1.65617,
        1.71685,
        1.67107,
        1.70895,
        1.66684,
        1.66586,
        1.62346,
        1.6414,
        1.5761,
        1.61863,
        1.60374,
        1.56824,
        1.53924,
        1.58639,
        1.62106,
        1.64944,
        1.59636,
        1.74379,
        1.78724,
        1.70408,
        1.71672,
        null,
        1.59418,
        1.63728,
        1.61566,
        1.61181,
        1.62522,
        1.59668,
        1.54667,
        1.55435,
        1.52443,
        1.56132,
        1.56779,
        1.60808,
        1.65524,
        1.64679,
        1.63726,
        1.61056,
        1.56635,
        1.57873,
        1.58272,
        1.6417,
        1.59454,
        1.63204,
        1.57935,
        1.55197,
        1.57339,
        1.5674,
        1.54108,
        1.59779,
        1.58909,
        1.56414,
        1.57692,
        1.57154,
        1.56693,
        1.57442,
        1.58958,
        1.56341,
        1.60852,
        1.63087,
        1.59811,
        1.61922,
        1.60585,
        1.59225,
        1.61572,
        1.61028,
        1.55214,
        1.53975,
        1.58478,
        1.55696,
        1.57122,
        1.55161,
        1.5916,
        1.64262,
        1.59595,
        1.58382,
        1.54079,
        1.5679,
        1.57841,
        1.584,
        1.61101,
        1.63047,
        1.64382,
        1.60134,
        1.57691,
        1.53997,
        1.57816,
        1.54939,
        1.58556,
        1.55999,
        1.56895,
        1.55171,
        1.53725,
        1.58028,
        1.60807,
        1.61802,
        1.58969,
        1.60482,
        1.62938,
        1.53044,
        1.52931,
        1.54235,
        1.49804,
        1.58949,
        1.58533,
        1.60303,
        1.52815,
        1.54054,
        1.56939,
        1.5632,
        1.54557,
        1.58534,
        1.6253,
        1.58623,
        1.6008,
        1.58848,
        1.56181,
        1.60787,
        1.62241,
        1.56584,
        1.58136,
        1.58547,
        1.56231,
        1.57303,
        1.58121,
        1.63599,
        1.63699,
        1.59547,
        1.5988,
        1.61952,
        1.62182,
        1.67831,
        1.72823,
        1.65853,
        1.66868,
        1.66091,
        1.74839,
        1.82143,
        1.73547,
        1.76991,
        1.73802,
        1.65792,
        1.77355,
        1.74726,
        1.76643,
        1.72051,
        1.66336,
        1.6374,
        1.67021,
        1.69013,
        1.63497,
        1.74524,
        1.65422,
        1.66515,
        1.68064,
        1.68965,
        1.67934,
        1.61116,
        1.6597,
        1.66174,
        1.64954,
        1.66637,
        1.63661,
        1.62868,
        1.67189,
        1.7104,
        1.62719,
        1.66252,
        1.69755,
        1.65242,
        1.63032,
        1.63257,
        1.6415,
        1.68563,
        1.64567,
        1.631,
        1.63077,
        1.68672,
        1.70709,
        1.63761,
        1.67927,
        1.60797,
        1.67204,
        1.64366,
        1.67987,
        1.64552,
        1.65739,
        1.66368,
        1.59992,
        1.64294,
        1.71847,
        1.70907,
        1.69268,
        1.72081,
        1.76337,
        1.67654,
        1.76993,
        1.72792,
        1.76104,
        1.59746,
        1.67283,
        1.74597,
        1.80293,
        1.7328,
        1.73031,
        1.73174,
        1.82723,
        1.84325,
        1.68334,
        1.79935,
        1.93556,
        1.87721,
        1.89443,
        1.83031,
        1.87249,
        1.69743,
        1.66607,
        1.7796,
        1.83492,
        1.91104,
        1.81602,
        1.72959,
        1.8789,
        1.91372,
        1.97676,
        1.89649,
        1.93476,
        1.92912,
        1.90395,
        2.09808,
        1.97601,
        2.14829,
        1.93606,
        2.36062,
        2.6516,
        2.76098,
        2.3009,
        2.00839,
        2.08959,
        2.49884,
        2.17929,
        2.08054,
        2.20517,
        2.04021,
        2.11932,
        2.1249,
        2.083,
        1.90122,
        2.04538,
        2.08581,
        2.12108,
        2.06452,
        2.10931,
        2.14022,
        2.12424,
        2.13686,
        2.05636,
        2.04739,
        2.13128,
        2.05354,
        2.07362,
        1.98915,
        1.98591,
        2.05635,
        1.98334,
        1.95278,
        2.09241,
        2.02125,
        1.93305,
        1.98808,
        1.91903,
        1.87031,
        1.78201,
        1.77714,
        1.7699,
        1.79453,
        1.78624,
        1.74708,
        1.78367,
        1.79569,
        1.78047,
        1.6632,
        1.7149,
        1.81109,
        1.75414,
        1.74009,
        1.75974,
        1.83222,
        1.76564,
        1.67753,
        1.70128,
        1.7105,
        1.73761,
        1.68144,
        1.7053,
        1.65884,
        1.68482,
        1.64342,
        1.60902,
        1.59852,
        1.61781,
        1.5963,
        1.61739,
        1.60921,
        1.59446,
        1.62194,
        1.5924,
        1.55997,
        1.62198,
        1.55914,
        1.47717,
        1.58157,
        1.61372,
        1.60523,
        1.54716,
        1.50379,
        1.57101,
        1.57928,
        1.55418,
        1.57148,
        1.54513,
        1.56024,
        1.50916,
        1.45524,
        1.49196,
        1.5531,
        1.56592,
        1.58954,
        1.50829,
        1.51581,
        1.56899,
        1.55297,
        1.5946,
        1.60666,
        1.57048,
        1.5612,
        1.5427,
        1.51884,
        1.60697,
        1.53856,
        1.49711,
        1.54061,
        1.52156,
        1.5564,
        1.52952,
        1.50813,
        1.51001,
        1.51518,
        1.5218,
        1.49805,
        1.57302,
        1.51675,
        1.54663,
        1.51532,
        1.5386,
        1.53312,
        1.55203,
        1.5443,
        1.54912,
        1.56887,
        1.55591,
        1.55876,
        1.5443,
        1.5546,
        1.55954,
        1.57521,
        1.52458,
        1.49789,
        1.56196,
        1.48375,
        1.528,
        1.61489,
        1.58872,
        1.60143,
        1.50225,
        1.56857,
        1.57469,
        1.57201,
        1.6125,
        1.61474,
        1.58571,
        1.64516,
        1.62337,
        1.67281,
        1.63441,
        1.58212,
        1.64815,
        1.64343,
        1.6542,
        1.72678,
        1.68961,
        1.704,
        1.71398,
        1.71629,
        1.69936,
        1.71395,
        1.65329,
        1.67343,
        1.75848,
        1.72594,
        1.72895,
        1.71681,
        1.69911,
        1.68749,
        1.73247,
        1.70126,
        1.70471,
        1.80209,
        1.70792,
        1.705,
        1.69098,
        1.69053,
        1.70223,
        1.61729,
        1.69088,
        1.71138,
        1.70549,
        1.70482,
        1.66985,
        1.68694,
        1.69109,
        1.70337,
        1.68803,
        1.71036,
        1.66062,
        1.67111,
        1.66228,
        1.6529,
        1.64838,
        1.67718,
        1.67883,
        1.6713,
        1.64186,
        1.67551,
        1.70847,
        1.65838,
        1.62778,
        1.68999,
        1.73462,
        1.66942,
        1.67756,
        1.65309,
        1.67633,
        1.69257,
        1.68549,
        1.71332,
        1.62124,
        1.61008,
        1.60165,
        1.62772,
        1.61757,
        1.58425,
        1.60317,
        1.61891,
        1.61192,
        1.61493,
        1.5814,
        1.59134,
        1.65407,
        1.62443,
        1.65084,
        1.62995,
        1.58386,
        1.61933,
        1.54066,
        1.5935,
        1.56297,
        1.5699,
        1.55555,
        1.53446,
        1.59214,
        1.54023,
        1.57109,
        1.603,
        1.59899,
        1.63358,
        1.54948,
        1.58277,
        1.55713,
        1.53015,
        1.54473,
        1.56101,
        1.52476,
        1.57672,
        1.54498,
        1.58506,
        1.57472,
        1.56885,
        1.61719,
        1.56093,
        1.56702,
        1.54675,
        1.58312,
        1.62257,
        1.5896,
        1.58241,
        1.5414,
        1.58368,
        1.60289,
        1.55038,
        1.5857,
        1.63259,
        1.66916,
        1.61882,
        1.61674,
        1.59998,
        1.6065,
        1.56216,
        1.56282,
        1.58012,
        1.57205,
        1.57627,
        1.58304,
        1.57717,
        1.62376,
        1.63538,
        1.56702,
        1.5271,
        1.57795,
        1.56621,
        1.55626,
        1.5607,
        1.58424,
        1.53527,
        1.54148,
        1.57395,
        1.5817,
        1.59511,
        1.58887,
        1.55888,
        1.56391,
        1.56683,
        1.53231,
        1.50217,
        1.52588,
        1.5736,
        1.58913,
        1.54771,
        1.53541,
        1.52723,
        1.5105,
        1.59122,
        1.59148,
        1.58966,
        1.58673,
        1.5717,
        1.62759,
        1.64826,
        1.57532,
        1.58207,
        1.5563,
        1.5366,
        1.54102,
        1.59373,
        1.56212,
        1.54466,
        1.63244,
        1.64519,
        1.61047,
        1.58368,
        1.62965,
        1.6345,
        1.54979,
        1.59768,
        1.6216,
        1.60894,
        1.58845,
        1.61543,
        1.61466,
        1.59979,
        1.62571,
        1.59357,
        1.56969,
        1.57739,
        1.5891,
        1.66629,
        1.67314,
        1.65162,
        1.59036,
        1.59292,
        1.62033,
        1.69154,
        1.61296,
        1.61196,
        1.57306,
        1.60587,
        1.63569,
        1.64028,
        1.64233,
        1.62674,
        1.55991,
        1.61683,
        1.63678,
        1.60043,
        1.57821,
        1.6235,
        1.63024,
        1.59778,
        1.62066,
        1.61342,
        1.61475,
        1.63958,
        1.65556,
        1.59451,
        1.67138,
        1.61183,
        1.61842,
        1.58319,
        1.61917,
        1.6169,
        1.61425,
        1.62165,
        1.60937,
        1.623,
        1.60058,
        1.63162,
        1.67476,
        1.64307,
        1.61331,
        1.61276,
        1.64601,
        1.58755,
        1.55544,
        1.57428,
        1.57616,
        1.54988,
        1.57514,
        1.61584,
        1.62103,
        1.65099,
        1.59219,
        1.59901,
        1.65302,
        1.66032,
        1.5763,
        1.59314,
        1.61095,
        1.61227,
        1.60282,
        1.5792,
        1.66975,
        1.65233,
        1.61965,
        1.57014,
        1.62737,
        1.62338,
        1.62681,
        1.58169,
        1.64465,
        1.59348,
        1.53489,
        1.55745,
        1.59375,
        1.58607,
        1.5892,
        1.67054,
        1.65071,
        1.63974,
        1.69431,
        1.65159,
        1.63204,
        1.63367,
        1.67421,
        1.66693,
        1.64866,
        1.61784,
        1.65418,
        1.63963,
        1.623,
        1.67122,
        1.66963,
        1.66949,
        1.68226,
        1.68006,
        1.75113,
        1.72464,
        1.69727,
        1.68921,
        1.7128,
        1.75341,
        1.77145,
        1.75513,
        1.65196,
        1.65113,
        1.71918,
        1.66959,
        1.78569,
        1.77746,
        1.69653,
        1.71684,
        1.71731,
        1.68895,
        1.66278,
        1.7185,
        1.79826,
        1.77148,
        1.73217,
        1.74881,
        1.75853,
        1.71508,
        1.72338,
        1.77395,
        1.73165,
        1.6878,
        1.73582,
        1.79446,
        1.81804,
        1.73332,
        1.72883,
        1.67922,
        1.75564,
        1.72474,
        1.77781,
        1.76338,
        1.72003,
        1.7222,
        1.75156,
        1.75729,
        1.685,
        1.7371,
        1.72538,
        1.77573,
        1.76051,
        1.7199,
        1.77561,
        1.7344,
        1.73769,
        1.72753,
        1.66698,
        1.69872,
        1.68587,
        1.71147,
        1.69505,
        1.75845,
        1.74249,
        1.6682,
        1.77237,
        1.6842,
        1.72705,
        1.67919,
        1.67659,
        1.65778,
        1.62878,
        1.64213,
        1.63446,
        1.69047,
        1.6219,
        1.61534,
        1.62047,
        1.64185,
        1.63306,
        1.64693,
        1.63285,
        1.55894,
        1.61321,
        1.59633,
        1.67563,
        1.72765,
        1.63515,
        1.64914,
        1.69096,
        1.62684,
        1.65039,
        1.6948,
        1.58072,
        1.54087,
        1.63715,
        1.6606,
        1.65772,
        1.63015,
        1.61588,
        1.58985,
        1.63403,
        1.54807,
        1.5646,
        1.58499,
        1.65326,
        1.51649,
        1.6192,
        1.70104,
        1.73905,
        1.67055,
        1.6156,
        1.62038,
        1.61186,
        1.54195,
        1.63138,
        1.64168,
        1.61411,
        1.60063,
        1.60928,
        1.63168,
        1.65802,
        1.62173,
        1.64182,
        1.68387,
        1.6066,
        1.64911,
        1.63429,
        1.60652,
        1.65758,
        1.70829,
        1.74916,
        1.89668,
        1.83843,
        1.75602,
        1.7428,
        1.75802,
        1.80047,
        1.75977,
        1.74738,
        1.80108,
        1.79077,
        1.7265,
        1.85419,
        1.90809,
        1.88779,
        1.80268,
        1.81702,
        1.9186,
        1.96944,
        1.99071,
        1.96657,
        2.02421,
        1.99431,
        2.03921,
        2.01143,
        2.02038,
        2.1586,
        2.1899,
        2.29216,
        2.25003,
        2.2775,
        2.24846,
        1.94018,
        1.9321,
        2.06683,
        2.18601,
        2.19797,
        2.20202,
        2.25989,
        2.16596,
        2.18239,
        2.41775,
        2.47352,
        2.31318,
        2.09571,
        2.32707,
        2.50825,
        2.57029,
        2.32089,
        2.12654,
        2.18958,
        null,
        2.37463,
        2.69011,
        2.00906,
        2.18647,
        2.23355,
        2.34665,
        2.19163,
        2.10804,
        1.95685,
        1.81976,
        2.16527,
        1.93936,
        1.66492,
        2.04086,
        1.96863,
        1.9064,
        2.00477,
        1.97749,
        2.05613,
        1.94316,
        2.02787,
        2.04073,
        1.9785,
        1.82094,
        2.12655,
        1.83847,
        1.62937,
        1.76096,
        1.98969,
        1.92119,
        1.85175,
        1.61256,
        1.75717,
        1.93031,
        2.01013,
        1.96114,
        2.00253,
        1.9258,
        1.74194,
        1.84867,
        1.79771,
        1.77118,
        1.90706,
        1.72299,
        1.77166,
        1.9066,
        1.71688,
        1.6408,
        1.76056,
        1.5868,
        1.81847,
        1.82346,
        1.80328,
        1.71495,
        1.84527,
        1.87502,
        1.86675,
        1.73577,
        1.79399,
        1.85124,
        1.70767,
        1.72411,
        1.71382,
        1.67902,
        1.68536,
        1.74432,
        1.77159,
        1.7582,
        1.68881,
        1.80637,
        1.79934,
        1.66055,
        1.7031,
        1.747,
        1.69371,
        1.79618,
        1.71184,
        1.67494,
        1.70415,
        1.65001,
        1.72855,
        1.70533,
        1.67324,
        1.65827,
        1.66947,
        1.70492,
        1.72946,
        1.78028,
        1.67128,
        1.73119,
        1.73107,
        1.68891,
        1.67588,
        1.72882,
        1.66009,
        1.67499,
        1.73869,
        1.81068,
        1.77356,
        1.78475,
        1.70448,
        1.70246,
        1.71098,
        1.71558,
        1.80151,
        1.78746,
        1.77083,
        1.75289,
        1.79129,
        1.75814,
        1.84968,
        1.79375,
        1.79437,
        1.90982,
        1.75565,
        1.74722,
        1.77906,
        1.80093,
        1.77516,
        1.67606,
        1.82803,
        1.72847,
        1.71715,
        1.75048,
        1.74688,
        1.74227,
        1.69091,
        1.82203,
        1.76634,
        1.73536,
        1.76082,
        1.83431,
        1.80593,
        1.73439,
        1.82387,
        1.781,
        1.7916,
        1.76051,
        1.70123,
        1.74144,
        1.82669,
        1.78781,
        1.7835,
        1.76808,
        1.82766,
        1.81807,
        1.79934,
        1.78525,
        1.73697,
        1.65527,
        1.68254,
        1.81554,
        1.86743,
        1.90573,
        1.83694,
        1.77028,
        1.76566,
        1.75065,
        1.82691,
        1.80197,
        1.72384,
        1.84825,
        1.79814,
        1.8052,
        1.77457,
        1.73605,
        1.72945,
        1.75543,
        1.66485,
        1.74078,
        1.83813,
        1.78298,
        1.76232,
        1.71744,
        1.78938,
        1.71728,
        1.82015,
        1.81306,
        1.79923,
        1.76438,
        1.8219,
        1.59594,
        1.59479,
        1.68757,
        1.65855,
        1.7526,
        1.76376,
        1.77582,
        1.65541,
        1.66258,
        1.69054,
        1.78161,
        1.71346,
        1.77849,
        1.79846,
        1.71306,
        1.68304,
        1.70143,
        1.73415,
        1.68861,
        1.71644,
        1.63563,
        1.6794,
        1.77758,
        1.76535,
        1.75092,
        1.65912,
        1.65721,
        1.69773,
        1.81291,
        1.74822,
        1.66934,
        1.76008,
        1.82315,
        1.84063,
        1.79516,
        1.69542,
        1.84383,
        1.74026,
        1.718,
        1.69097,
        1.70002,
        1.69498,
        1.59359,
        1.58803,
        1.68754,
        1.74747,
        1.75934,
        1.85094,
        1.7597,
        1.6095,
        1.66842,
        1.75084,
        1.78642,
        1.6553,
        1.79932,
        1.76958,
        1.72381,
        1.65167,
        1.63281,
        1.68954,
        1.57671,
        1.64648,
        1.68322,
        1.55895,
        1.69338,
        1.69058,
        1.53676,
        1.7229,
        1.80177,
        1.75131,
        1.72042,
        1.82858,
        1.63914,
        1.77994,
        1.85268,
        1.8944,
        1.86967,
        1.73957,
        1.61098,
        1.60777,
        1.847,
        1.72045,
        1.59745,
        1.6579,
        1.68481,
        1.65782,
        1.78781,
        1.83041,
        1.76622,
        1.84225,
        1.88104,
        1.86649,
        1.62887,
        1.82428,
        1.90887,
        1.97719,
        1.95773,
        1.7945,
        1.89311,
        1.67722,
        1.96606,
        1.81574,
        1.82752,
        1.78535,
        1.80735,
        1.96196,
        2.01367,
        2.07331,
        2.24601,
        2.27942,
        2.05229,
        2.03274,
        2.22182,
        2.38408,
        2.19013,
        2.31308,
        2.2389,
        1.90277,
        2.08481,
        2.27816,
        2.3542,
        2.43303,
        2.25577,
        2.72494,
        null,
        2.40209,
        2.04734,
        1.97383,
        2.13605,
        1.62561,
        2.26712,
        2.05332,
        2.05283,
        1.94159,
        2.02267,
        2.00688,
        2.07066,
        2.10443,
        2.04472,
        2.29593,
        1.92345,
        1.93155,
        2.06692,
        1.67449,
        1.8312,
        2.02031,
        1.90155,
        1.96604,
        1.89653,
        1.86497,
        2.06559,
        2.01874,
        2.11566,
        2.03726,
        1.78592,
        1.89163,
        1.99088,
        1.86307,
        1.95102,
        1.97904,
        1.88797,
        1.89079,
        1.87387,
        1.88067,
        1.86262,
        1.70918,
        1.64009,
        1.82763,
        1.88236,
        1.9125,
        1.8556,
        1.92813,
        1.84076,
        1.90924,
        1.88161,
        1.87061,
        1.98776,
        1.94476,
        1.92542,
        1.89391,
        1.85071,
        1.81634,
        1.78365,
        1.91205,
        1.742,
        1.86529,
        1.83734,
        1.86952,
        1.78144,
        1.87871,
        1.9204,
        2.02371,
        1.87539,
        1.87131,
        1.76758,
        1.89571,
        2.14148,
        1.91796,
        1.99196,
        1.75177,
        1.76813,
        1.85324,
        1.91218,
        1.90314,
        2.16222,
        1.91713,
        1.90014,
        1.87883,
        1.7942,
        1.69634,
        1.83252,
        1.67838,
        1.60178,
        1.71762,
        1.66577,
        1.78583,
        1.74087,
        1.75147,
        1.70206,
        1.64728,
        1.63415,
        1.7194,
        1.72106,
        1.65994,
        1.68236,
        1.73572,
        1.6177,
        1.66525,
        1.70104,
        1.62516,
        1.65889,
        1.65497,
        1.64063,
        1.69423,
        1.64995,
        1.53988,
        1.674,
        1.63034,
        1.65248,
        1.67067,
        1.74078,
        1.61211,
        1.71246,
        1.64097,
        1.62632,
        1.63077,
        1.66729,
        1.68469,
        1.71662,
        1.6426,
        1.63662,
        1.68589,
        1.75003,
        1.74734,
        1.68934,
        1.684,
        1.61762,
        1.76265,
        1.64524,
        1.6749,
        1.65348,
        1.66902,
        1.6506,
        1.56725,
        1.60315,
        1.62499,
        1.65934,
        1.61623,
        1.62781,
        1.653,
        1.64904,
        1.69403,
        1.65369,
        1.69665,
        1.69889,
        1.6711,
        1.6533,
        1.62235,
        1.63673,
        1.58754,
        1.70268,
        1.61372,
        1.59631,
        1.68886,
        1.64288,
        1.62497,
        1.58825,
        1.662,
        1.67939,
        1.58934,
        1.62049,
        1.60186,
        1.59159,
        1.63158,
        1.57769,
        1.58816,
        1.50022,
        1.61446,
        1.62087,
        1.54975,
        1.568,
        1.53802,
        1.50929,
        1.62245,
        1.62038,
        1.58197,
        1.65505,
        1.56042,
        1.62923,
        1.54368,
        1.59585,
        1.58781,
        1.54689,
        1.58302,
        1.6367,
        1.62655,
        1.58452,
        1.57591,
        1.59901,
        1.52683,
        1.48734,
        1.6085,
        1.6324,
        1.53113,
        1.589,
        1.55753,
        1.53247,
        1.56651,
        1.61688,
        1.60725,
        1.54894,
        1.60644,
        1.64003,
        1.57235,
        1.55584,
        1.49642,
        1.51601,
        1.61077,
        1.61037,
        1.57678,
        1.5808,
        1.66788,
        1.52102,
        1.56464,
        1.63188,
        1.61266,
        1.65627,
        1.63681,
        1.62712,
        1.57002,
        1.62085,
        1.61244,
        1.67258,
        1.61121,
        1.63738,
        1.65963,
        1.5916,
        1.56168,
        1.56065,
        1.4883,
        1.54289,
        1.5838,
        1.59704,
        1.50447,
        1.54912,
        1.57493,
        1.52047,
        1.58242,
        1.55182,
        1.60962,
        1.57513,
        1.57238,
        1.59508,
        1.59756,
        1.68585,
        1.59435,
        1.58742,
        1.60414,
        1.66939,
        1.64334,
        1.55867,
        1.63367,
        1.46887,
        1.62362,
        1.71036,
        1.62994,
        1.59231,
        1.68465,
        1.59259,
        1.62846,
        1.65178,
        1.70074,
        1.65753,
        1.59329,
        1.67369,
        1.59647,
        1.5896,
        1.65485,
        1.60717,
        1.6389,
        1.63582,
        1.59417,
        1.64683,
        1.6418,
        1.6334,
        1.65313,
        1.69118,
        1.62068,
        1.70507,
        1.64407,
        1.67282,
        1.70085,
        1.78079,
        1.73503,
        1.70928,
        1.72677,
        1.76392,
        1.6447,
        1.67838,
        1.74078,
        1.71248,
        1.74615,
        1.70287,
        1.67998,
        1.70657,
        1.65853,
        1.71556,
        1.67237,
        1.69975,
        1.62851,
        1.6358,
        1.63401,
        1.707,
        1.69645,
        1.66311,
        1.62327,
        1.65282,
        1.6506,
        1.6423,
        1.64478,
        1.64289,
        1.62302,
        1.59622,
        1.60814,
        1.6857,
        1.65994,
        1.64636,
        1.58113,
        1.67591,
        1.64335,
        1.68235,
        1.63217,
        1.6196,
        1.53056,
        1.64959,
        1.6383,
        1.68857,
        1.67992,
        1.64588,
        1.63259,
        1.69551,
        1.74368,
        1.64144,
        1.56007,
        1.63144,
        1.60961,
        1.60212,
        1.5023,
        1.58061,
        1.62128,
        1.54486,
        1.55743,
        1.58685,
        1.62501,
        1.60376,
        1.63614,
        1.57822,
        1.56558,
        1.54788,
        1.57659,
        1.51759,
        1.50179,
        1.57609,
        1.54911,
        1.56045,
        1.54441,
        1.51757,
        1.53242,
        1.5501,
        1.51405,
        1.55229,
        1.60566,
        1.59021,
        1.50816,
        1.51492,
        1.56112,
        1.60083,
        1.55534,
        1.47769,
        1.5336,
        1.53095,
        1.53292,
        1.59034,
        1.63014,
        1.64819,
        1.48834,
        1.47938,
        1.55403,
        1.56681,
        1.54126,
        1.56061,
        1.45008,
        1.56345,
        1.57684,
        1.56056,
        1.50108,
        1.51723,
        1.57356,
        1.51225,
        1.52248,
        1.51595,
        1.53057,
        1.5336,
        1.55549,
        1.6142,
        1.54393,
        1.52187,
        1.52565,
        1.48573,
        1.54601,
        1.58749,
        1.58062,
        1.56194,
        1.49616,
        1.50005,
        1.56126,
        1.59865,
        1.57133,
        1.62158,
        1.57087,
        1.59892,
        1.56179,
        1.56624,
        1.60912,
        1.54433,
        1.60043,
        1.58367,
        1.68167,
        1.57187,
        1.55617,
        1.54611,
        1.63891,
        1.58825,
        1.57286,
        1.56844,
        1.57209,
        1.60629,
        1.60808,
        1.59037,
        1.62945,
        1.56295,
        1.64825,
        1.61356,
        1.68753,
        1.60097,
        1.66337,
        1.77256,
        1.70687,
        1.70036,
        1.67882,
        1.70689,
        1.79659,
        1.65711,
        1.63601,
        1.5377,
        1.6936,
        1.61946,
        1.75848,
        1.77076,
        1.80384,
        null,
        1.50801,
        1.54201,
        1.58402,
        1.53841,
        1.55655,
        1.52643,
        1.50063,
        1.50804,
        1.54412,
        1.5782,
        1.55479,
        1.54127,
        1.52739,
        1.49435,
        1.5515,
        1.58918,
        1.54592,
        1.55912,
        1.56853,
        1.52725,
        1.52882,
        1.53065,
        1.53762,
        1.53393,
        1.58909,
        1.52548,
        1.49754,
        1.53156,
        1.59791,
        1.5831,
        1.60284,
        1.54537,
        1.54754,
        1.56899,
        1.63692,
        1.66101,
        1.6642,
        1.6646,
        1.62903,
        1.62104,
        1.64065,
        1.66185,
        1.61486,
        1.59601,
        1.62252,
        1.58308,
        1.55988,
        1.59107,
        1.64722,
        1.64959,
        1.63864,
        1.66321,
        1.64036,
        1.59557,
        1.66465,
        1.69484,
        1.71564,
        1.66014,
        1.66822,
        1.68512,
        1.60641,
        1.68116,
        1.73078,
        1.7234,
        1.73152,
        1.71425,
        1.69122,
        1.68524,
        1.70691,
        1.69702,
        1.68723,
        1.67707,
        1.67342,
        1.64704,
        1.61016,
        1.70867,
        1.66658,
        1.64378,
        1.66713,
        1.68129,
        1.66191,
        1.72596,
        1.77226,
        1.68679,
        1.71949,
        1.74376,
        1.67038,
        1.64948,
        1.67573,
        1.70143,
        1.7077,
        1.63041,
        1.69655,
        1.72859,
        1.66689,
        1.65951,
        1.74772,
        1.7628,
        1.73723,
        1.78428,
        1.85039,
        1.99218,
        2.24553,
        2.24858,
        2.14453,
        2.23456,
        1.9406,
        1.62961,
        1.49391,
        1.51035,
        1.59858,
        1.66828,
        1.62781,
        1.61187,
        1.57117,
        1.64683,
        1.63167,
        1.54453,
        1.56879,
        1.53071,
        1.51989,
        1.53059,
        1.5429,
        1.51587,
        1.52145,
        1.56379,
        1.58988,
        1.51859,
        1.53089,
        1.54322,
        1.5649,
        1.50542,
        1.52084,
        1.55995,
        1.51073,
        1.49489,
        1.52208,
        1.55703,
        1.47904,
        1.4794,
        1.53185,
        1.49526,
        1.4932,
        1.53048,
        1.5404,
        1.48169,
        1.52413,
        1.49869,
        1.52014,
        1.4977,
        1.55996,
        1.49242,
        1.46379,
        1.51624,
        1.51481,
        1.49697,
        1.51792,
        1.53122,
        1.49818,
        1.48732,
        1.46995,
        1.47737,
        1.45231,
        1.52981,
        1.56604,
        1.51866,
        1.50057,
        1.48288,
        1.49721,
        1.45827,
        1.48111,
        1.54601,
        1.52312,
        1.43928,
        1.47421,
        1.4973,
        1.44056,
        1.47271,
        1.46202,
        1.44573,
        1.47581,
        1.49824,
        1.44177,
        1.47988,
        1.47059,
        1.439,
        1.45931,
        1.46899,
        1.46828,
        1.45691,
        1.48338,
        1.46375,
        1.4618,
        1.48949,
        1.46807,
        1.5234,
        1.5153,
        1.47836,
        1.44211,
        1.48622,
        1.50977,
        1.47851,
        1.49424,
        1.51248,
        1.56294,
        1.48559,
        1.48213,
        1.48652,
        1.49426,
        1.49807,
        1.52004,
        1.5752,
        1.51115,
        1.52807,
        1.47355,
        1.50299,
        1.55087,
        1.56852,
        1.48759,
        1.50645,
        1.49252,
        1.47941,
        1.53404,
        1.54239,
        1.53576,
        1.54813,
        1.53319,
        1.51769,
        1.50755,
        1.53763,
        1.47615,
        1.55845,
        1.56856,
        1.52321,
        1.4911,
        1.47733,
        1.50724,
        1.52687,
        1.49975,
        1.46352,
        1.48228,
        1.54639,
        1.51148,
        1.4984,
        1.4781,
        1.56985,
        1.50958,
        1.52998,
        1.55193,
        1.53631,
        1.54274,
        1.53652,
        1.50498,
        1.506,
        1.51859,
        1.53682,
        1.52129,
        1.53705,
        1.48344,
        1.51898,
        1.49739,
        1.52873,
        1.52577,
        1.51843,
        1.49194,
        1.49669,
        1.51523,
        1.47594,
        1.49711,
        1.46883,
        1.53744,
        1.47995,
        1.44808,
        1.44174,
        1.45613,
        1.45795,
        1.49993,
        1.41505,
        1.4906,
        1.47298,
        1.47627,
        1.45929,
        1.47605,
        1.47265,
        1.48575,
        1.4804,
        1.48053,
        1.45766,
        1.4766,
        1.48431,
        1.44841,
        1.4704,
        1.52602,
        1.53596,
        1.50462,
        1.51027,
        1.52881,
        1.55497,
        1.53993,
        1.52505,
        1.53085,
        1.49859,
        1.54229,
        1.49313,
        1.50197,
        1.50563,
        1.49587,
        1.48283,
        1.49775,
        1.57827,
        1.53927,
        1.56794,
        1.61613,
        1.5731,
        1.60993,
        1.60041,
        1.61728,
        1.60518,
        1.63283,
        1.61197,
        1.6211,
        1.65952,
        1.67644,
        1.66779,
        1.65598,
        1.67003,
        1.69443,
        1.7067,
        1.7461,
        1.71711,
        1.7327,
        1.72127,
        1.72072,
        1.75442,
        1.72319,
        1.69415,
        1.71808,
        1.7559,
        1.84157,
        1.81418,
        1.77997,
        1.76077,
        1.76788,
        1.75775,
        1.76969,
        1.77663,
        1.77567,
        1.74596,
        1.72983,
        1.7456,
        1.77475,
        1.7102,
        1.738,
        1.70767,
        1.71389,
        1.70323,
        1.70972,
        1.69499,
        1.67959,
        1.66048,
        1.7026,
        1.67044,
        1.75016,
        1.71725,
        1.67423,
        1.66354,
        1.67683,
        1.64012,
        1.68465,
        1.73948,
        1.66818,
        1.67879,
        1.66078,
        1.69869,
        1.7378,
        1.67684,
        1.64235,
        1.69796,
        1.69137,
        1.73255,
        1.76871,
        1.71148,
        1.76213,
        1.69834,
        1.6667,
        1.70927,
        1.70461,
        1.7074,
        1.68736,
        1.72114,
        1.72209,
        1.70745,
        1.69319,
        1.72054,
        1.71796,
        1.73894,
        1.71308,
        1.7679,
        1.75443,
        1.75814,
        1.80175,
        1.73367,
        1.73391,
        1.74895,
        1.72726,
        1.7265,
        1.7462,
        1.67238,
        1.70465,
        1.71753,
        1.75309,
        1.76581,
        1.75837,
        1.69317,
        1.73961,
        1.70842,
        1.70617,
        1.72618,
        1.66989,
        1.70997,
        1.69551,
        1.63927,
        1.64662,
        1.68907,
        1.6502,
        1.66326,
        1.68701,
        1.69462,
        1.68614,
        1.62219,
        1.66325,
        1.69285,
        1.65947,
        1.65611,
        1.67959,
        1.61542,
        1.65,
        1.67336,
        1.60949,
        1.67584,
        1.65511,
        1.62265,
        1.66312,
        1.61132,
        1.62291,
        1.58267,
        1.56882,
        1.60971,
        1.62572,
        1.6248,
        1.59424,
        1.61238,
        1.55328,
        1.58412,
        1.59456,
        1.56888,
        1.52329,
        1.55606,
        1.5235,
        1.55615,
        1.59303,
        1.56999,
        1.60519,
        1.56754,
        1.62747,
        1.68575,
        1.67717,
        1.70075,
        1.61369,
        1.55584,
        1.58022,
        1.5784,
        1.56724,
        1.52728,
        1.56824,
        1.51266,
        1.54737,
        1.50928,
        1.5454,
        1.53084,
        1.56614,
        1.53999,
        1.49241,
        1.53572,
        1.49617,
        1.49807,
        1.54984,
        1.52191,
        1.53351,
        1.55449,
        1.58838,
        1.51152,
        1.4978,
        1.47776,
        1.47624,
        1.46331,
        1.47902,
        1.45636,
        1.56911,
        1.54599,
        1.56555,
        1.50674,
        1.44061,
        1.532,
        1.49732,
        1.59548,
        1.45679,
        1.47425,
        1.51697,
        1.48563,
        1.51624,
        1.52239,
        1.49768,
        1.45257,
        1.46722,
        1.52145,
        1.49929,
        1.45906,
        1.47659,
        1.50743,
        1.47174,
        1.48318,
        1.45801,
        1.46895,
        1.48941,
        1.52274,
        1.53802,
        1.5174,
        1.48641,
        1.50759,
        1.53698,
        1.5254,
        1.47635,
        1.50035,
        1.51165,
        1.51972,
        1.49633,
        1.47862,
        1.48243,
        1.46709,
        1.50826,
        1.47153,
        1.48497,
        1.53294,
        1.45982,
        1.53027,
        1.45959,
        1.47574,
        1.55827,
        1.52214,
        1.51011,
        1.47263,
        1.53392,
        1.54952,
        1.52062,
        1.54672,
        1.48659,
        1.47176,
        1.50456,
        1.54285,
        1.49131,
        1.52732,
        1.50796,
        1.46561,
        1.49786,
        1.58893,
        1.54331,
        1.55791,
        1.48344,
        1.49366,
        1.50311,
        1.54147,
        1.55693,
        1.55745,
        1.55546,
        1.55956,
        1.55697,
        1.58681,
        1.59779,
        1.62543,
        1.66908,
        1.59984,
        1.58774,
        1.59497,
        1.65293,
        1.60813,
        1.6119,
        1.61387,
        1.64476,
        1.71008,
        1.64616,
        1.65541,
        1.6417,
        1.70168,
        1.67468,
        1.65299,
        1.66687,
        1.74458,
        1.69541,
        1.62561,
        1.64669,
        1.73927,
        1.70377,
        1.67569,
        1.68326,
        1.75635,
        1.8143,
        1.7455,
        1.67247,
        1.75291,
        1.7221,
        1.6819,
        1.72626,
        1.78663,
        1.79482,
        1.80253,
        1.70371,
        1.77583,
        1.92607,
        1.95141,
        2.03482,
        1.98833,
        2.08549,
        1.99781,
        2.00217,
        1.75058,
        1.73473,
        1.73327,
        1.69473,
        1.7923,
        1.6313,
        1.75915,
        1.8516,
        1.68985,
        1.66352,
        1.54596,
        1.72836,
        1.66144,
        1.60488,
        1.74262,
        1.68292,
        1.63623,
        1.71132,
        1.68491,
        1.58247,
        1.59547,
        1.58875,
        1.55633,
        1.62879,
        1.54967,
        1.57894,
        1.56181,
        1.52254,
        1.58823,
        1.64905,
        1.57274,
        1.54641,
        1.58044,
        1.58089,
        1.51564,
        1.5729,
        1.54875,
        1.5647,
        1.52197,
        1.55071,
        1.53301,
        1.53673,
        1.60184,
        1.61898,
        1.56973,
        1.54328,
        1.53222,
        1.58986,
        1.59663,
        1.59845,
        1.53462,
        1.50046,
        1.5515,
        1.57579,
        1.56136,
        1.5147,
        1.49875,
        1.54765,
        1.55768,
        1.54126,
        1.52881,
        1.52293,
        1.59751,
        1.59348,
        1.49656,
        1.49776,
        1.45008,
        1.54818,
        1.55235,
        1.47904,
        1.49444,
        1.52282,
        1.49591,
        1.53906,
        1.5607,
        1.50383,
        1.54785,
        1.57846,
        1.56001,
        1.5275,
        1.50286,
        1.55333,
        1.5516,
        1.54689,
        1.56484,
        1.59131,
        1.60156,
        1.60556,
        1.63632,
        1.59141,
        1.61774,
        1.63115,
        1.61202,
        1.58646,
        1.59577,
        1.57901,
        1.57448,
        1.59121,
        1.62975,
        1.5374,
        1.53273,
        1.55867,
        1.52252,
        1.59513,
        1.63906,
        1.6145,
        1.62677,
        1.54454,
        1.57628,
        1.59918,
        1.62125,
        1.62362,
        1.58222,
        1.55031,
        1.63983,
        1.62369,
        1.60145,
        1.55453,
        1.62826,
        1.57425,
        1.54573,
        1.52234,
        1.58869,
        1.55269,
        1.57423,
        1.57663,
        1.58409,
        1.59196,
        1.6175,
        1.58467,
        1.61353,
        1.60305,
        1.5922,
        1.59098,
        1.57035,
        1.61859,
        1.59716,
        1.58349,
        1.5532,
        1.55058,
        1.56013,
        1.56772,
        1.57832,
        1.61045,
        1.60164,
        1.55825,
        1.5563,
        1.54247,
        1.55037,
        1.55004,
        1.56192,
        1.53826,
        1.5735,
        1.58383,
        1.49339,
        1.57947,
        1.5529,
        1.55379,
        1.55859,
        1.57097,
        1.55577,
        1.54585,
        1.53489,
        1.53825,
        1.53708,
        1.52957,
        1.51099,
        1.49927,
        1.53434,
        1.52516,
        1.50792,
        1.47156,
        1.49847,
        1.53805,
        1.52809,
        1.48238,
        1.55676,
        1.5155,
        1.54791,
        1.52482,
        1.56585,
        1.52512,
        1.5551,
        1.51125,
        1.50469,
        1.50484,
        1.51995,
        1.54844,
        1.54414,
        1.52848,
        1.53889,
        1.53158,
        1.57244,
        1.58231,
        1.60042,
        1.54867,
        1.55992,
        1.56682,
        1.57564,
        1.5594,
        1.52998,
        1.5337,
        1.55125,
        1.56796,
        1.61531,
        1.59329,
        1.57609,
        1.58395,
        1.53856,
        1.50858,
        1.53439,
        1.53921,
        1.55948,
        1.50756,
        1.53323,
        1.49664,
        1.54818,
        1.58078,
        1.53503,
        1.5159,
        1.60177,
        1.53792,
        1.52864,
        1.57901,
        1.57913,
        1.61222,
        1.55852,
        1.56818,
        1.59103,
        1.55933,
        1.58197,
        1.52833,
        1.554,
        1.53483,
        1.52335,
        1.53354,
        1.52839,
        1.54668,
        1.5598,
        1.54285,
        1.5577,
        1.56652,
        1.51904,
        1.50167,
        1.53077,
        1.54405,
        1.61038,
        1.5372,
        1.55561,
        1.51647,
        1.5562,
        1.55425,
        1.54161,
        1.53346,
        1.50099,
        1.49036,
        1.52575,
        1.51244,
        1.51388,
        1.46725,
        1.53128,
        1.51151,
        1.55314,
        1.61437,
        1.64221,
        1.58843,
        1.64665,
        1.63896,
        1.63535,
        1.62099,
        1.65507,
        1.63464,
        1.61132,
        1.62341,
        1.6552,
        1.71858,
        1.74939,
        1.70168,
        1.72478,
        1.74641,
        1.66764,
        1.64436,
        1.67782,
        1.66358,
        1.72623,
        1.79126,
        1.77714,
        1.76591,
        1.67984,
        1.73381,
        1.74597,
        1.77515,
        1.76429,
        1.76438,
        1.82863,
        1.7611,
        1.80176,
        1.7836,
        1.76136,
        1.74221,
        1.70768,
        1.78385,
        1.77289,
        1.69577,
        1.63711,
        1.73694,
        1.77507,
        1.71686,
        1.74449,
        1.71449,
        1.70843,
        1.69524,
        1.73741,
        1.766,
        1.72106,
        1.7287,
        1.71758,
        1.71146,
        1.74384,
        1.78694,
        1.79397,
        1.77488,
        1.7916,
        1.7941,
        1.73833,
        1.79822,
        1.77186,
        1.75969,
        1.79581,
        1.76508,
        1.78142,
        1.79216,
        1.71993,
        1.74885,
        1.79558,
        1.76941,
        1.71988,
        1.75016,
        1.77868,
        1.79982,
        1.81708,
        1.76857,
        1.75087,
        1.71879,
        1.67444,
        1.65998,
        1.64121,
        1.70512,
        1.70477,
        1.66418,
        1.66699,
        1.65299,
        1.67112,
        1.64863,
        1.59312,
        1.65577,
        1.68145,
        1.69763,
        1.67505,
        1.64673,
        1.65303,
        1.66263,
        1.63089,
        1.63975,
        1.64232,
        1.65611,
        1.63714,
        1.63034,
        1.61662,
        1.62618,
        1.69033,
        1.61287,
        1.65829,
        1.63464,
        1.62128,
        1.61329,
        1.62225,
        1.61609,
        1.61281,
        1.56724,
        1.52237,
        1.55143,
        1.56497,
        1.56094,
        1.54353,
        1.56905,
        1.546,
        1.58973,
        1.54178,
        1.5859,
        1.59332,
        1.56016,
        1.5371,
        1.54312,
        1.53256,
        1.52985,
        1.50418,
        1.44632,
        1.48168,
        1.49347,
        1.4618,
        1.47582,
        1.50738,
        1.45972,
        1.45073,
        1.48717,
        1.44641,
        1.48347,
        1.47634,
        1.50752,
        1.52006,
        1.51244,
        1.45046,
        1.45916,
        1.50073,
        1.48668,
        1.5072,
        1.46827,
        1.49903,
        1.49379,
        1.45854,
        1.44854,
        1.50665,
        1.5301,
        1.51401,
        1.48703,
        1.45378,
        1.48913,
        1.52207,
        1.50142,
        1.49072,
        1.52245,
        1.50977,
        1.47771,
        1.47203,
        1.51519,
        1.51996,
        1.50201,
        1.50438,
        1.49256,
        1.52294,
        1.51191,
        1.49684,
        1.46838,
        1.47349,
        1.48903,
        1.47368,
        1.48272,
        1.49069,
        1.46009,
        1.43291,
        1.47943,
        1.50701,
        1.48217,
        1.48828,
        1.56987,
        1.5353,
        1.44784,
        1.51347,
        1.53909,
        1.47412,
        1.49436,
        1.50178,
        1.51132,
        1.47498,
        1.50741,
        1.51528,
        1.5536,
        1.50766,
        1.5333,
        1.51359,
        1.52461,
        1.52719,
        1.54178,
        1.55421,
        1.50188,
        1.5255,
        1.56349,
        1.56377,
        1.63528,
        1.54766,
        1.52454,
        1.55556,
        1.54849,
        1.59955,
        1.60348,
        1.59679,
        1.53174,
        1.57314,
        1.57773,
        1.5677,
        1.53274,
        1.53847,
        1.53661,
        1.55063,
        1.52767,
        1.54167,
        1.57785,
        1.59667,
        1.62667,
        1.65284,
        1.60927,
        1.63228,
        1.59347,
        1.57323,
        1.57875,
        1.64968,
        1.67361,
        1.62101,
        1.6416,
        1.63823,
        1.66067,
        1.64787,
        1.64361,
        1.66112,
        1.65582,
        1.6722,
        1.70127,
        1.65816,
        1.6525,
        1.71034,
        1.67126,
        1.64379,
        1.63749,
        1.67661,
        1.69647,
        1.71677,
        1.6907,
        1.66353,
        1.69844,
        1.64916,
        1.62238,
        1.61592,
        1.66143,
        1.65775,
        1.63988,
        1.67529,
        1.67751,
        1.66232,
        1.63514,
        1.64587,
        1.62889,
        1.63329,
        1.61534,
        1.61725,
        1.62075,
        1.56073,
        1.60322,
        1.58652,
        1.61946,
        1.60931,
        1.59202,
        1.61677,
        1.58617,
        1.59702,
        1.56829,
        1.61047,
        1.65948,
        1.65239,
        1.61383,
        1.62852,
        1.58285,
        1.58193,
        1.57587,
        1.56737,
        1.57749,
        1.58247,
        1.54342,
        1.60827,
        1.64519,
        1.55836,
        1.59634,
        1.55923,
        1.53686,
        1.51167,
        1.49966,
        1.52728,
        1.52142,
        1.529,
        1.54309,
        1.5359,
        1.52214,
        1.52141,
        1.49742,
        1.5326,
        1.57389,
        1.52483,
        1.48818,
        1.47509,
        1.47758,
        1.53428,
        1.55447,
        1.52087,
        1.57879,
        1.52711,
        1.544,
        1.55294,
        1.59659,
        1.55165,
        1.52923,
        1.48066,
        1.49264,
        1.51173,
        1.53755,
        1.50163,
        1.51698,
        1.52321,
        1.52285,
        1.54059,
        1.50876,
        1.54752,
        1.59046,
        1.55688,
        1.5224,
        1.55451,
        1.53343,
        1.50282,
        1.56866,
        1.55644,
        1.52421,
        1.50962,
        1.54054,
        1.50927,
        1.55872,
        1.5441,
        1.5117,
        1.5292,
        1.52302,
        1.52519,
        1.49245,
        1.51243,
        1.53421,
        1.55908,
        1.53143,
        1.5384,
        1.50742,
        1.46798,
        1.45952,
        1.50823,
        1.53443,
        1.55691,
        1.52055,
        1.47402,
        1.5323,
        1.49,
        1.47181,
        1.56926,
        1.49476,
        1.52076,
        1.54509,
        1.45895,
        1.4654,
        1.52864,
        1.51761,
        1.50136,
        1.4834,
        1.50158,
        1.53497,
        1.52967,
        1.51789,
        1.56234,
        1.52125,
        1.51281,
        1.48089,
        1.46378,
        1.56899,
        1.52879,
        1.49148,
        1.52229,
        1.5333,
        1.48501,
        1.53799,
        1.52285,
        1.52032,
        1.55622,
        1.54375,
        1.52064,
        1.49892,
        1.51545,
        1.56232,
        1.51049,
        1.54632,
        1.51954,
        1.52725,
        1.53412,
        1.52095,
        1.4915,
        1.51785,
        1.50457,
        1.61712,
        1.543,
        1.50858,
        1.51975,
        1.47679,
        1.49157,
        1.54213,
        1.55232,
        1.54073,
        1.5287,
        1.56694,
        1.55432,
        1.49289,
        1.50603,
        1.53617,
        1.54428,
        1.61417,
        1.5318,
        1.53426,
        1.56758,
        1.5563,
        1.56207,
        1.58147,
        1.55957,
        1.53448,
        1.53103,
        1.55497,
        1.64471,
        1.63046,
        1.52453,
        1.56604,
        1.57568,
        1.56304,
        1.61432,
        1.57793,
        1.58999,
        1.66787,
        1.61524,
        1.51193,
        1.57968,
        1.59535,
        1.5628,
        1.57215,
        1.61775,
        1.57511,
        1.59852,
        1.62192,
        1.61315,
        1.58277,
        1.57519,
        1.68255,
        1.67864,
        1.62854,
        1.57547,
        1.60672,
        1.56941,
        1.61004,
        1.60268,
        1.56692,
        1.5869,
        1.62607,
        1.64218,
        1.66492,
        1.67306,
        1.65164,
        1.60776,
        1.63378,
        1.64443,
        1.62767,
        1.63495,
        1.68206,
        1.65669,
        1.61308,
        1.67391,
        1.65017,
        1.67003,
        1.64507,
        1.60686,
        1.6168,
        1.69029,
        1.64099,
        1.64212,
        1.67033,
        1.65551,
        1.58741,
        1.65365,
        1.66466,
        1.64172,
        1.61927,
        1.62383,
        1.62428,
        1.66673,
        1.62831,
        1.61897,
        1.60976,
        1.66149,
        1.64979,
        1.5378,
        1.57516,
        1.632,
        1.65981,
        1.64725,
        1.64794,
        1.64634,
        1.59011,
        1.61183,
        1.60717,
        1.66599,
        1.62909,
        1.56919,
        1.615,
        1.62002,
        1.59917,
        1.6544,
        1.49641,
        1.50059,
        1.54717,
        1.67223,
        1.64874,
        1.62306,
        1.62522,
        1.60739,
        1.67963,
        1.72607,
        1.6536,
        1.62565,
        1.62865,
        1.66591,
        1.52752,
        1.53026,
        1.59389,
        1.57638,
        1.58418,
        1.54296,
        1.58226,
        1.63431,
        1.57161,
        1.59909,
        1.52197,
        1.59661,
        1.67244,
        1.75256,
        1.78018,
        1.68328,
        1.56994,
        1.64096,
        1.76989,
        1.79357,
        1.63515,
        1.65636,
        1.67066,
        1.70055,
        1.72392,
        1.64723,
        1.64331,
        1.71638,
        1.7092,
        1.62062,
        1.72588,
        1.75286,
        1.67324,
        1.72058,
        1.6969,
        1.66622,
        1.73165,
        1.69633,
        1.65824,
        1.73478,
        1.74969,
        1.78737,
        1.74981,
        1.64768,
        1.71545,
        1.63968,
        1.67409,
        1.69761,
        1.67743,
        1.71097,
        1.6754,
        1.65495,
        1.71144,
        1.73013,
        1.75225,
        1.72523,
        1.74195,
        1.75545,
        1.77087,
        1.79398,
        1.80729,
        1.77542,
        1.79619,
        1.68626,
        1.58784,
        1.72787,
        1.67905,
        1.71607,
        1.71021,
        1.69266,
        1.79067,
        1.72972,
        1.67079,
        1.61372,
        1.62818,
        1.71279,
        1.65735,
        1.81798,
        1.79613,
        1.65178,
        1.62499,
        1.74286,
        1.75888,
        1.75516,
        1.90539,
        1.79707,
        1.72119,
        1.72076,
        1.66768,
        1.77005,
        1.78688,
        1.80004,
        1.79926,
        1.80423,
        1.85741,
        1.7801,
        2.0224,
        1.84188,
        1.83823,
        1.87926,
        2.02322,
        1.96287,
        2.05956,
        1.90095,
        1.85527,
        1.94569,
        1.94163,
        1.9926,
        1.98853,
        2.10066,
        2.02481,
        1.93461,
        1.94406,
        2.08932,
        2.13311,
        2.09831,
        2.02043,
        2.01306,
        2.05367,
        2.20835,
        2.22684,
        2.11382,
        2.01195,
        1.87217,
        1.96121,
        1.92883,
        1.97094,
        2.17045,
        2.1315,
        2.04756,
        2.1453,
        2.05043,
        2.0357,
        2.13599,
        2.15914,
        2.18493,
        1.90608,
        2.10546,
        1.98165,
        2.22325,
        2.16472,
        2.01735,
        2.09683,
        2.24426,
        2.24377,
        2.11576,
        2.11288,
        2.03611,
        2.19561,
        2.09504,
        2.04623,
        2.19475,
        2.33909,
        2.10859,
        1.97982,
        1.98713,
        2.08095,
        2.04299,
        2.13792,
        2.35726,
        2.12579,
        2.0659,
        2.12271,
        1.94739,
        2.0563,
        1.89518,
        1.83801,
        2.0636,
        2.04477,
        2.45672,
        2.41124,
        2.38673,
        2.80489,
        2.40972,
        2.71301,
        null,
        2.21991,
        2.17444,
        1.9855,
        1.84772,
        1.83953,
        2.17101,
        2.15196,
        1.8401,
        1.90473,
        2.12328,
        1.76642,
        1.67069,
        1.6933,
        1.93788,
        1.88472,
        1.8842,
        2.00788,
        1.93684,
        1.94915,
        1.81136,
        1.80996,
        1.63429,
        1.77269,
        1.85439,
        1.84558,
        1.74018,
        1.83731,
        1.79801,
        1.95065,
        1.80185,
        2.06673,
        1.54268,
        1.90802,
        1.67129,
        1.85318,
        1.91884,
        1.65109,
        1.88756,
        1.59486,
        1.58729,
        1.6103,
        1.70697,
        1.73674,
        1.62807,
        1.82558,
        1.75535,
        1.6687,
        1.67091,
        1.84747,
        1.82356,
        1.66379,
        1.76597,
        1.61501,
        1.64523,
        1.78492,
        1.73455,
        1.60472,
        1.67443,
        1.67088,
        1.82172,
        1.90164,
        1.89533,
        1.76715,
        1.60904,
        1.57798,
        1.60763,
        null,
        1.73907,
        1.75764,
        1.74518,
        1.70519,
        1.72854,
        1.70244,
        1.68672,
        1.7103,
        1.71742,
        1.67028,
        1.79588,
        1.7989,
        1.77572,
        1.73409,
        1.80807,
        1.67569,
        1.66456,
        1.77051,
        1.76896,
        1.77256,
        1.69877,
        1.76047,
        1.70919,
        1.77074,
        1.74582,
        1.71303,
        1.70525,
        1.60589,
        1.68394,
        1.70243,
        1.64931,
        1.7517,
        1.79705,
        1.68118,
        1.6972,
        1.69288,
        1.55887,
        1.64767,
        1.71568,
        1.76816,
        1.63644,
        1.75061,
        1.78383,
        1.75408,
        1.75231,
        1.69757,
        1.66153,
        1.67007,
        1.70478,
        1.56583,
        1.59477,
        1.66103,
        1.66713,
        1.70397,
        1.59526,
        1.4487,
        1.59569,
        1.68116,
        1.71276,
        1.57734,
        1.57068,
        1.50042,
        1.57828,
        1.68962,
        1.63703,
        1.72793,
        1.65645,
        1.64545,
        1.67455,
        1.63189,
        1.66566,
        1.75219,
        1.74974,
        1.64896,
        1.69697,
        1.65236,
        1.79103,
        1.77107,
        1.6289,
        1.70608,
        1.68189,
        1.72609,
        1.64778,
        1.71173,
        1.68256,
        1.648,
        1.7287,
        1.87477,
        1.81999,
        1.78764,
        1.92451,
        1.9678,
        1.94564,
        1.8825,
        1.8693,
        1.64556,
        2.10229,
        2.24123,
        1.87575,
        2.14615,
        2.63144,
        2.09176,
        2.57406,
        2.31676,
        2.04596,
        2.20847,
        2.00826,
        1.87111,
        1.96278,
        1.80572,
        1.63837,
        1.7545,
        1.73407,
        1.68639,
        1.72101,
        1.95783,
        1.70108,
        1.74473,
        1.80586,
        1.8116,
        1.67133,
        1.59799,
        1.87757,
        1.74193,
        1.84157,
        1.87064,
        1.79803,
        1.78755,
        1.75403,
        1.81082,
        1.68651,
        1.61979,
        1.73633,
        1.67148,
        1.76183,
        1.72193,
        1.66589,
        1.68463,
        1.59444,
        1.5225,
        1.53142,
        1.58201,
        1.61702,
        1.5592,
        1.57999,
        1.64,
        1.64797,
        1.6188,
        1.69305,
        1.68505,
        1.72763,
        1.67484,
        1.58057,
        1.62265,
        1.62462,
        1.65183,
        1.59265,
        1.6782,
        1.65992,
        1.59859,
        1.59827,
        1.60668,
        1.54519,
        1.61011,
        1.62732,
        1.59612,
        1.63404,
        1.55257,
        1.59025,
        1.69159,
        1.69049,
        1.49862,
        1.63915,
        1.76354,
        1.70722,
        1.64204,
        1.58542,
        1.57227,
        1.68852,
        1.7096,
        1.59783,
        1.6803,
        1.62312,
        1.63272,
        1.62653,
        1.61159,
        1.66543,
        1.63346,
        1.62407,
        1.6155,
        1.65679,
        1.60359,
        1.66126,
        1.57228,
        1.61255,
        1.67875,
        1.70641,
        1.71305,
        1.70641,
        1.6241,
        1.66764,
        1.66057,
        1.67533,
        1.63306,
        1.74404,
        1.7216,
        1.6855,
        1.63772,
        1.66163,
        1.70215,
        1.62546,
        1.66484,
        1.61826,
        1.62292,
        1.63602,
        1.62129,
        1.60789,
        1.64423,
        1.67612,
        1.6175,
        1.58481,
        1.63058,
        1.60886,
        1.65282,
        1.66426,
        1.6751,
        1.54262,
        1.66981,
        1.61303,
        1.49619,
        1.55329,
        1.60295,
        1.61242,
        1.57887,
        1.59905,
        1.57237,
        1.58066,
        1.48462,
        1.51255,
        1.5902,
        1.62133,
        1.52568,
        1.59817,
        1.6047,
        1.57034,
        1.57075,
        1.62819,
        1.60697,
        1.62339,
        1.64457,
        1.55292,
        1.5692,
        1.59967,
        1.51091,
        1.64752,
        1.62988,
        1.52264,
        1.60765,
        1.60245,
        1.59582,
        1.5847,
        1.57009,
        1.56414,
        1.60514,
        1.67668,
        1.60765,
        1.59992,
        1.5183,
        1.61962,
        1.55899,
        1.56501,
        1.58,
        1.55259,
        1.57352,
        1.59205,
        1.5673,
        1.59722,
        1.59641,
        1.56775,
        1.52839,
        1.54068,
        1.5003,
        1.59005,
        1.58894,
        1.58485,
        1.51196,
        1.53366,
        1.55137,
        1.56851,
        1.56481,
        1.57286,
        1.57712,
        1.53247,
        1.55255,
        1.52169,
        1.61743,
        1.53235,
        1.51233,
        1.62517,
        1.58061,
        1.61615,
        1.59669,
        1.56033,
        1.53106,
        1.54251,
        1.58491,
        1.52584,
        1.48244,
        1.51571,
        1.58165,
        1.52668,
        1.55298,
        1.59755,
        1.6025,
        1.57784,
        1.63764,
        1.57447,
        1.58186,
        1.57557,
        1.54236,
        1.59594,
        1.60607,
        1.52353,
        1.59463,
        1.62558,
        1.5613,
        1.55272,
        1.53893,
        1.56704,
        1.55705,
        1.54724,
        1.58767,
        1.56985,
        1.6272,
        1.59943,
        1.58625,
        1.53527,
        1.56942,
        1.56657,
        1.55956,
        1.54584,
        1.6301,
        1.54169,
        1.61364,
        1.58625,
        1.56983,
        1.57249,
        1.56018,
        1.57434,
        1.61684,
        1.62737,
        1.71166,
        1.70241,
        1.66466,
        1.6791,
        1.62999,
        1.60122,
        1.64882,
        1.66482,
        1.65423,
        1.63545,
        1.68486,
        1.67834,
        1.69606,
        1.64121,
        1.69207,
        1.65583,
        1.71018,
        1.70768,
        1.7645,
        1.67738,
        1.69449,
        1.74352,
        1.80736,
        1.74293,
        1.78448,
        1.80839,
        1.77851,
        1.82721,
        1.78063,
        1.78601,
        1.85854,
        1.84505,
        1.83586,
        1.85636,
        1.86779,
        1.87713,
        1.79388,
        1.89481,
        1.8968,
        1.90588,
        1.88866,
        1.86044,
        1.87379,
        1.8885,
        1.89863,
        1.87215,
        1.89103,
        1.91538,
        1.9425,
        1.98916,
        1.98658,
        1.92925,
        1.89478,
        1.9179,
        1.87588,
        1.85644,
        1.90338,
        1.86542,
        1.84284,
        1.79031,
        1.8465,
        1.84089,
        1.88548,
        1.83479,
        1.84489,
        1.81662,
        1.81804,
        1.81842,
        1.76604,
        1.72579,
        1.78303,
        1.84116,
        1.74499,
        1.83965,
        1.82301,
        1.77729,
        1.78169,
        1.79452,
        1.72206,
        1.69462,
        1.73638,
        1.71098,
        1.72943,
        1.72491,
        1.72305,
        1.75484,
        1.75084,
        1.65372,
        1.65117,
        1.64776,
        1.64165,
        1.68298,
        1.66435,
        1.72517,
        1.688,
        1.67788,
        1.66793,
        1.65023,
        1.70547,
        1.66157,
        1.64234,
        1.67405,
        1.69687,
        1.73492,
        1.7912,
        1.74839,
        1.71543,
        1.67585,
        1.65126,
        1.69453,
        1.70038,
        1.71211,
        1.68957,
        1.81216,
        1.78207,
        1.81574,
        1.74453,
        1.68316,
        1.7138,
        1.7405,
        1.70935,
        1.78235,
        1.88164,
        1.78974,
        1.7342,
        1.89268,
        1.97359,
        2.08332,
        2.20145,
        2.20251,
        2.25194,
        2.65551,
        1.86218,
        2.08141,
        2.24443,
        2.07543,
        1.87802,
        1.92737,
        1.86906,
        1.94049,
        1.8523,
        1.78843,
        1.8831,
        1.86542,
        1.85469,
        1.90302,
        1.81312,
        1.77891,
        1.7873,
        1.78788,
        1.77157,
        1.76737,
        1.82247,
        1.76136,
        1.74327,
        1.71539,
        1.75475,
        1.83911,
        1.76072,
        1.76822,
        1.83203,
        1.74355,
        1.60551,
        1.71346,
        1.79947,
        1.75011,
        1.76952,
        1.75656,
        1.82348,
        1.78786,
        1.77039,
        1.71565,
        1.70849,
        1.73494,
        1.77335,
        1.71687,
        1.78728,
        1.73743,
        1.72164,
        1.70388,
        1.74881,
        1.70113,
        1.77393,
        1.72735,
        1.73773,
        1.80918,
        1.71819,
        1.81086,
        1.80017,
        1.71125,
        1.65709,
        1.74543,
        1.86528,
        1.68632,
        1.68483,
        1.78689,
        1.73752,
        1.75909,
        1.82175,
        1.90511,
        1.78602,
        1.78363,
        1.913,
        1.92297,
        1.95611,
        1.85352,
        1.72066,
        1.76969,
        1.82681,
        1.77736,
        1.75309,
        1.59744,
        1.70332,
        1.75977,
        1.75299,
        1.6765,
        1.70283,
        1.72825,
        1.69855,
        1.74312,
        1.70973,
        1.66331,
        1.69835,
        1.71617,
        1.74666,
        1.70233,
        1.8477,
        1.73335,
        1.7602,
        1.63465,
        1.72211,
        1.66039,
        1.71419,
        1.76335,
        1.74932,
        1.72456,
        1.7389,
        1.75977,
        1.69877,
        1.75484,
        1.74778,
        1.73979,
        1.60217,
        1.75632,
        1.72643,
        1.70206,
        1.66462,
        1.69393,
        1.71637,
        1.72331,
        1.64177,
        1.72304,
        1.80131,
        1.71737,
        1.81177,
        1.76892,
        1.69361,
        1.79321,
        1.87423,
        1.8831,
        1.82716,
        1.75085,
        1.83275,
        1.79965,
        1.78483,
        1.82642,
        1.85564,
        1.88635,
        1.79502,
        1.84705,
        1.88724,
        1.96456,
        1.86234,
        1.84314,
        1.845,
        2.09831,
        1.87836,
        1.68605,
        1.91654,
        1.90951,
        1.9358,
        1.99513,
        2.12273,
        1.93597,
        2.01237,
        2.39674,
        2.52148,
        1.86136,
        2.00812,
        1.91276,
        1.97606,
        2.15021,
        1.84718,
        1.86229,
        1.95557,
        1.97991,
        1.90066,
        1.78858,
        1.89162,
        1.75695,
        1.70511,
        1.71918,
        1.81308,
        1.58829,
        1.82443,
        1.79259,
        1.8309,
        1.74897,
        1.7737,
        1.58218,
        1.78105,
        1.82228,
        1.80298,
        1.72659,
        1.81297,
        1.85259,
        1.87781,
        1.78818,
        1.69469,
        1.63078,
        1.66254,
        1.77965,
        1.67542,
        1.72087,
        1.80562,
        1.78801,
        1.71186,
        1.78015,
        1.8195,
        1.84351,
        1.98887,
        1.81841,
        1.91246,
        2.00494,
        1.83621,
        1.95327,
        1.87462,
        1.83106,
        1.87136,
        1.84243,
        1.82452,
        1.85083,
        1.81266,
        1.79316,
        1.76385,
        1.70909,
        1.80804,
        1.96841,
        1.70162,
        1.61508,
        1.68583,
        1.82579,
        1.78588,
        1.73099,
        1.7833,
        1.88106,
        1.97964,
        1.82503,
        1.67664,
        2.00756,
        1.89039,
        1.93767,
        1.86695,
        1.82143,
        1.88688,
        1.71241,
        1.83969,
        1.70586,
        1.8933,
        1.91982,
        1.81464,
        1.94189,
        1.94154,
        2.01076,
        2.04347,
        2.16248,
        2.21189,
        2.11397,
        2.14819,
        1.95354,
        2.03774,
        2.18558,
        null,
        2.09466,
        1.93536,
        1.87289,
        1.97482,
        2.43916,
        2.19683,
        1.98834,
        1.88207,
        1.90682,
        1.75601,
        1.99165,
        2.0852,
        2.03338,
        2.09042,
        1.90256,
        2.02295,
        1.95717,
        1.77527,
        1.6507,
        1.72665,
        1.70189,
        1.70991,
        1.84809,
        1.72777,
        1.86229,
        1.81099,
        1.66866,
        1.68396,
        1.61743,
        1.68179,
        1.73651,
        1.71075,
        1.8327,
        1.8114,
        1.74015,
        1.78825,
        1.73422,
        1.77768,
        1.67735,
        1.70517,
        1.55943,
        1.60146,
        1.70902,
        1.79449,
        1.79439,
        1.76227,
        1.64697,
        1.5156,
        1.66513,
        1.58853,
        1.50936,
        1.67078,
        1.61054,
        1.62975,
        1.71612,
        1.68698,
        1.63145,
        1.54592,
        1.5801,
        1.65632,
        1.59034,
        1.60816,
        1.68756,
        1.63255,
        1.70123,
        1.63604,
        1.61537,
        1.67839,
        1.72675,
        1.64953,
        1.67502,
        1.59749,
        1.52925,
        1.60595,
        1.61576,
        1.60708,
        1.63377,
        1.58029,
        1.62499,
        1.62985,
        1.55178,
        1.52762,
        1.57545,
        1.66846,
        1.6269,
        1.71023,
        1.59936,
        1.57462,
        1.57492,
        1.66486,
        1.68039,
        1.56165,
        1.54534,
        1.54871,
        1.56141,
        1.54041,
        1.56418,
        1.64043,
        1.70225,
        1.64472,
        1.62104,
        1.61712,
        1.60408,
        1.63486,
        1.67349,
        1.58574,
        1.6302,
        1.65612,
        1.66959,
        1.61799,
        1.56367,
        1.68747,
        1.69267,
        1.64744,
        1.67828,
        1.7428,
        1.73658,
        1.67002,
        1.65331,
        1.69941,
        1.74107,
        1.67373,
        1.74371,
        1.75621,
        1.68478,
        1.79444,
        1.72102,
        1.66682,
        1.74479,
        1.76673,
        1.73243,
        1.78689,
        1.82406,
        1.76255,
        1.7632,
        1.74185,
        1.75003,
        1.75199,
        1.79165,
        1.8283,
        1.81002,
        1.7327,
        1.72282,
        1.75074,
        1.74533,
        1.86104,
        1.85548,
        1.78363,
        1.74636,
        1.76266,
        1.81,
        1.81683,
        1.82001,
        1.87865,
        1.9079,
        1.91348,
        1.87704,
        1.87066,
        1.7693,
        1.86792,
        1.80081,
        1.85727,
        1.87201,
        1.84579,
        1.96066,
        1.90193,
        1.89653,
        1.88731,
        1.9165,
        1.88371,
        1.88576,
        1.96166,
        1.88224,
        1.86213,
        1.9158,
        1.91072,
        1.90654,
        1.93332,
        1.95077,
        1.93854,
        1.92728,
        1.9346,
        1.90027,
        1.85037,
        1.90426,
        1.86899,
        1.90991,
        1.88862,
        1.86997,
        1.89868,
        1.88705,
        1.88061,
        1.78245,
        1.78509,
        1.87742,
        1.88778,
        1.89397,
        1.86341,
        1.85521,
        1.86535,
        1.91677,
        1.82014,
        1.84373,
        1.84883,
        1.84122,
        1.8311,
        1.88096,
        1.83434,
        1.80732,
        1.80419,
        1.82972,
        1.88571,
        1.88627,
        1.89241,
        1.84577,
        1.81717,
        1.77882,
        1.79934,
        1.81641,
        1.7854,
        1.82444,
        1.83803,
        1.85914,
        1.76536,
        1.75396,
        1.82234,
        1.79149,
        1.76054,
        1.75594,
        1.72927,
        1.78556,
        1.78375,
        1.80996,
        1.76737,
        1.79253,
        1.78592,
        1.81311,
        1.8158,
        1.8036,
        1.7694,
        1.7779,
        1.77369,
        1.76004,
        1.73761,
        1.77081,
        1.76582,
        1.77373,
        1.75928,
        1.6905,
        1.73832,
        1.72705,
        1.71021,
        1.7888,
        1.7585,
        1.81289,
        1.78665,
        1.709,
        1.72696,
        1.69136,
        1.74994,
        1.78967,
        1.75189,
        1.75567,
        1.81106,
        1.75032,
        1.70931,
        1.73812,
        1.7075,
        1.73328,
        1.72987,
        1.72271,
        1.77125,
        1.73127,
        1.7248,
        1.68183,
        1.65795,
        1.65402,
        1.72754,
        1.73778,
        1.68543,
        1.64271,
        1.60141,
        1.67251,
        1.64613,
        1.69399,
        1.63883,
        1.65582,
        1.63592,
        1.6313,
        1.65394,
        1.65755,
        1.68596,
        1.69871,
        1.63842,
        1.64561,
        1.63275,
        1.66133,
        1.67099,
        1.67629,
        1.63019,
        1.59483,
        1.59083,
        1.59448,
        1.61304,
        1.57096,
        1.60853,
        1.61784,
        1.57827,
        1.63385,
        1.63158,
        1.60895,
        1.63829,
        1.6242,
        1.61559,
        1.61079,
        1.61123,
        1.62498,
        1.63235,
        1.65361,
        1.64205,
        1.71161,
        1.60836,
        1.61624,
        1.63999,
        1.63005,
        1.62891,
        1.65599,
        1.67971,
        1.67601,
        1.59657,
        1.68545,
        1.62181,
        1.5925,
        1.62313,
        1.65278,
        1.61069,
        1.5856,
        1.60052,
        1.62823,
        1.60089,
        1.61296,
        1.65371,
        1.62212,
        1.63927,
        1.62215,
        1.62749,
        1.63717,
        1.64396,
        1.69755,
        1.66042,
        1.61615,
        1.61892,
        1.58455,
        1.59231,
        1.62128,
        1.56609,
        1.55763,
        1.58727,
        1.66486,
        1.59598,
        1.60894,
        1.68914,
        1.69057,
        1.63324,
        1.69153,
        1.62618,
        1.57308,
        1.59013,
        1.62365,
        1.57399,
        1.64922,
        1.68202,
        1.64031,
        1.7097,
        1.69942,
        1.62464,
        1.59448,
        1.62849,
        1.60969,
        1.68713,
        1.57684,
        1.58925,
        1.57312,
        1.60534,
        1.61082,
        1.60598,
        1.61457,
        1.61273,
        1.54805,
        1.6493,
        1.62446,
        1.61068,
        1.6018,
        1.59261,
        1.64837,
        1.66559,
        1.64992,
        1.62816,
        1.64511,
        1.6843,
        1.70344,
        1.72572,
        1.72387,
        1.64773,
        1.60835,
        1.56231,
        1.58722,
        1.64803,
        1.64946,
        1.63487,
        1.63924,
        1.6599,
        1.64245,
        1.66249,
        1.69998,
        1.68979,
        1.67524,
        1.71898,
        1.61702,
        1.57194,
        1.64889,
        1.66249,
        1.63178,
        1.68281,
        1.70733,
        1.74586,
        1.77502,
        1.70278,
        1.70828,
        1.62297,
        1.66627,
        1.78217,
        1.84701,
        1.87599,
        1.84889,
        1.82458,
        1.89035,
        1.85659,
        1.96891,
        1.81048,
        1.7427,
        1.80756,
        2.07531,
        2.15803,
        2.13863,
        2.07857,
        2.03269,
        2.19319,
        2.24626,
        1.88394,
        1.96588,
        2.06189,
        2.11877,
        2.00054,
        1.80501,
        1.86737,
        1.82145,
        1.92843,
        1.88587,
        1.91978,
        1.91613,
        1.83004,
        1.87667,
        1.88499,
        1.85665,
        1.89311,
        1.88826,
        1.87244,
        1.7926,
        1.8777,
        1.90206,
        1.82749,
        1.75369,
        1.73891,
        1.80659,
        1.72871,
        1.72016,
        1.76485,
        1.78133,
        1.75038,
        1.7739,
        1.81817,
        1.81544,
        1.77391,
        1.76358,
        1.80171,
        1.77749,
        1.70587,
        1.67932,
        1.6856,
        1.67304,
        1.65902,
        1.7544,
        1.66201,
        1.6879,
        1.73379,
        1.7472,
        1.73338,
        1.76473,
        1.70374,
        1.74162,
        1.67676,
        1.7177,
        1.71561,
        1.73366,
        1.68436,
        1.77715,
        1.73269,
        1.75895,
        1.72067,
        1.68452,
        1.67751,
        1.71298,
        1.71431,
        1.65954,
        1.57938,
        1.68309,
        1.69704,
        1.70992,
        1.65343,
        1.70586,
        1.83899,
        1.82977,
        1.72461,
        1.66325,
        1.79619,
        1.70423,
        1.76416,
        1.70668,
        1.72267,
        1.70931,
        1.69127,
        1.71965,
        1.76986,
        1.79372,
        1.83876,
        1.71918,
        1.78428,
        1.70523,
        1.78627,
        1.75411,
        1.81727,
        1.87124,
        1.77659,
        1.7407,
        1.73358,
        1.79629,
        1.7395,
        1.74563,
        1.69729,
        1.75506,
        1.82587,
        1.80502,
        1.80089,
        1.77541,
        1.75359,
        1.82645,
        1.79575,
        1.71747,
        1.77106,
        1.83231,
        1.82686,
        1.90661,
        1.80737,
        1.79125,
        1.84882,
        1.82695,
        1.91511,
        1.9238,
        1.89535,
        1.90842,
        1.81316,
        1.78475,
        1.81256,
        1.82708,
        1.93232,
        1.93764,
        1.91579,
        1.94442,
        1.83889,
        1.84399,
        1.86713,
        1.95412,
        1.84969,
        1.88485,
        1.82833,
        1.87236,
        1.95694,
        2.05111,
        1.94076,
        1.85114,
        1.85835,
        1.84972,
        1.99345,
        1.90688,
        1.89179,
        1.97101,
        1.90371,
        1.88464,
        1.86785,
        1.81512,
        1.8606,
        1.87358,
        1.93236,
        1.96316,
        1.88857,
        1.86732,
        1.88089,
        1.91423,
        1.92117,
        1.95692,
        1.96924,
        1.98619,
        1.95723,
        2.06584,
        2.04388,
        2.04465,
        1.99851,
        2.055,
        2.0149,
        1.94418,
        2.0631,
        2.03482,
        2.07483,
        2.12937,
        2.09075,
        2.00525,
        2.03745,
        2.00441,
        2.03625,
        1.99618,
        1.98991,
        1.9571,
        2.04067,
        2.03923,
        1.97701,
        1.93415,
        1.99722,
        1.97009,
        2.01451,
        1.96155,
        2.00428,
        2.00889,
        2.04513,
        1.89818,
        2.02863,
        1.93952,
        1.95785,
        1.96441,
        1.93213,
        2.01434,
        1.93374,
        1.94759,
        1.89138,
        1.90025,
        1.93014,
        1.97568,
        1.98868,
        2.00766,
        2.00753,
        1.90332,
        1.91849,
        1.96529,
        2.00768,
        1.92819,
        1.87862,
        1.82892,
        2.00282,
        1.83946,
        1.93303,
        1.87573,
        2.02894,
        1.9591,
        2.0919,
        2.07369,
        1.86228,
        1.79788,
        1.9341,
        2.0186,
        2.10183,
        2.28617,
        2.07635,
        2.03908,
        2.01796,
        2.39118,
        2.72349,
        2.49473,
        2.12833,
        1.87755,
        2.12523,
        2.37866,
        2.17991,
        1.96592,
        2.00917,
        1.88144,
        1.93615,
        1.81906,
        1.93965,
        1.88222,
        1.83609,
        1.87909,
        2.02038,
        1.86709,
        1.87763,
        1.89847,
        1.88071,
        1.94336,
        1.84155,
        1.7877,
        1.85025,
        1.83832,
        1.80567,
        1.80693,
        1.84475,
        1.80894,
        1.74481,
        1.85682,
        1.8838,
        1.72846,
        1.77996,
        1.7834,
        1.78887,
        1.71485,
        1.81115,
        1.87754,
        1.83246,
        1.75858,
        1.8574,
        1.79034,
        1.79211,
        1.81639,
        1.83824,
        1.7988,
        1.86336,
        1.8541,
        1.82661,
        1.79797,
        1.82201,
        1.86909,
        1.75658,
        1.82429,
        1.88935,
        1.8403,
        1.97586,
        1.99302,
        1.95489,
        1.92653,
        1.90883,
        1.98204,
        1.88242,
        1.79783,
        1.83432,
        1.95903,
        1.88394,
        1.83729,
        1.88712,
        1.96554,
        2.00098,
        1.89568,
        1.89529,
        1.94705,
        1.861,
        1.83069,
        1.91298,
        1.9356,
        1.88817,
        1.91688,
        2.00127,
        1.90902,
        1.91562,
        1.89239,
        1.83601,
        1.83187,
        1.92452,
        1.89651,
        1.86113,
        1.87981,
        1.96836,
        2.0273,
        1.89263,
        1.88035,
        1.91709,
        1.86558,
        1.87231,
        1.88042,
        1.90616,
        1.93184,
        1.91286,
        1.89424,
        1.94459,
        1.96574,
        1.83858,
        1.78729,
        1.90194,
        1.88703,
        1.9283,
        2.02076,
        2.01607,
        1.88126,
        1.87416,
        1.95375,
        1.92099,
        1.85556,
        1.93124,
        2.006,
        1.97554,
        1.95006,
        1.97295,
        1.95966,
        2.0061,
        2.01151,
        1.99806,
        2.01688,
        1.99011,
        2.00773,
        2.02403,
        1.93235,
        1.97963,
        2.03107,
        2.04631,
        1.98417,
        1.98293,
        1.93609,
        2.03995,
        1.93136,
        1.92799,
        1.88957,
        1.90244,
        2.04907,
        2.06315,
        2.06366,
        2.0384,
        1.99115,
        2.15667,
        2.08777,
        2.0488,
        2.07237,
        1.95377,
        1.97262,
        1.99832,
        1.94305,
        1.9077,
        1.95111,
        2.00526,
        2.01,
        2.03938,
        2.05671,
        1.88238,
        1.89484,
        1.95821,
        1.98143,
        1.9135,
        1.88948,
        1.95562,
        1.96938,
        1.91491,
        1.91279,
        1.93685,
        1.90873,
        1.87387,
        1.83565,
        1.86118,
        1.95398,
        1.94383,
        1.7656,
        1.9612,
        1.97617,
        1.95771,
        1.89633,
        1.80245,
        1.83716,
        1.90643,
        1.98534,
        1.89396,
        1.86412,
        1.79458,
        1.72386,
        1.77494,
        1.75222,
        1.77496,
        1.80993,
        1.88244,
        1.78662,
        1.79894,
        1.83366,
        1.94806,
        1.87358,
        1.8128,
        1.82104,
        1.80693,
        1.7718,
        1.80269,
        1.82089,
        1.73902,
        1.77998,
        1.73508,
        1.60134,
        1.71323,
        1.77007,
        1.6141,
        1.65699,
        1.60741,
        1.66229,
        1.69181,
        1.70093,
        1.69397,
        1.78668,
        1.76459,
        1.78154,
        1.66133,
        1.74124,
        1.75758,
        1.77873,
        1.52484,
        1.6953,
        1.63621,
        1.70266,
        1.62757,
        1.67994,
        1.86876,
        1.95835,
        1.70168,
        1.75242,
        1.89465,
        1.87526,
        1.89705,
        2.07791,
        1.91328,
        1.84882,
        1.7166,
        1.72888,
        1.9353,
        1.78676,
        1.58404,
        1.64368,
        1.75055,
        1.75429,
        1.63104,
        1.7826,
        1.71037,
        1.75161,
        1.86515,
        1.66903,
        1.55844,
        1.62562,
        1.72746,
        1.77603,
        1.66307,
        1.87171,
        1.90388,
        1.66859,
        1.73709,
        1.74152,
        1.75011,
        1.85932,
        1.93975,
        1.95074,
        2.03982,
        1.92236,
        1.7818,
        1.83266,
        2.04165,
        2.08669,
        1.88458,
        1.92678,
        1.76588,
        1.79694,
        1.66721,
        1.92292,
        1.87908,
        2.09836,
        1.98979,
        1.93947,
        1.93862,
        2.14383,
        1.53577,
        1.58703,
        1.77545,
        1.88445,
        1.79955,
        1.77834,
        2.10825,
        1.87621,
        1.84845,
        1.84706,
        2.11447,
        null,
        2.38773,
        2.45587,
        2.25402,
        2.06673,
        2.046,
        2.54683,
        2.10026,
        1.83334,
        1.99538,
        1.61448,
        1.76728,
        1.78735,
        2.0664,
        1.91142,
        2.07202,
        2.00104,
        1.71055,
        1.74883,
        2.09717,
        1.84983,
        2.04683,
        1.72198,
        1.98355,
        1.83623,
        2.16543,
        1.95652,
        1.72739,
        1.50741,
        1.71521,
        1.82661,
        1.72034,
        1.74536,
        1.69246,
        1.82108,
        1.88859,
        1.83408,
        2.06683,
        1.86068,
        1.9096,
        1.90346,
        1.82768,
        1.84664,
        1.76325,
        1.52664,
        1.68765,
        1.83762,
        1.70711,
        1.73018,
        1.84164,
        1.86076,
        1.9674,
        1.76434,
        1.79745,
        1.78538,
        1.84339,
        1.71713,
        1.78806,
        1.6202,
        1.69755,
        1.66997,
        1.82117,
        1.78346,
        1.83686,
        1.79939,
        1.90038,
        1.89317,
        1.98095,
        1.74223,
        1.83376,
        1.83973,
        1.59409,
        1.67153,
        1.97495,
        1.74762,
        1.62699,
        1.72204,
        1.61863,
        1.64608,
        1.72217,
        1.70226,
        1.67346,
        1.7572,
        1.80399,
        1.59988,
        1.76214,
        1.7668,
        1.70305,
        1.76533,
        1.81448,
        1.74442,
        1.64529,
        1.76727,
        1.88505,
        1.78974,
        1.84901,
        1.90228,
        1.99909,
        1.99545,
        2.00357,
        2.48846,
        2.18577,
        1.61874,
        1.83396,
        1.74116,
        1.76491,
        1.87523,
        1.6757,
        1.83504,
        1.75597,
        1.81553,
        2.00082,
        1.92613,
        1.72873,
        1.87545,
        1.85556,
        1.72994,
        1.6423,
        1.7715,
        1.68874,
        1.68956,
        1.73636,
        1.93582,
        1.63162,
        1.61581,
        1.71476,
        1.81982,
        1.71638,
        1.58776,
        1.62103,
        1.66731,
        1.82775,
        1.75621,
        1.71929,
        1.64121,
        1.55423,
        1.62743,
        1.74811,
        1.75962,
        1.69688,
        1.60643,
        1.71681,
        1.68371,
        1.7895,
        1.75838,
        1.8231,
        1.67027,
        1.5896,
        1.76244,
        1.79909,
        1.80685,
        1.66768,
        1.77145,
        1.64923,
        1.68458,
        1.74987,
        1.60661,
        1.74999,
        1.58648,
        1.6071,
        1.66296,
        1.75325,
        1.63546,
        1.61494,
        1.67196,
        1.71721,
        1.62734,
        1.66087,
        1.77348,
        1.74115,
        1.72352,
        1.69049,
        1.50046,
        1.55754,
        1.73356,
        1.67657,
        1.73032,
        1.94073,
        1.57726,
        1.75932,
        1.7217,
        1.69766,
        1.63972,
        1.69592,
        1.70422,
        1.63314,
        1.62862,
        1.58419,
        1.60329,
        1.74578,
        1.75517,
        1.53585,
        1.61956,
        1.74133,
        1.70154,
        1.67788,
        1.65351,
        1.75457,
        1.62723,
        1.66001,
        1.69497,
        1.64271,
        1.75779,
        1.69835,
        1.83264,
        1.75914,
        1.59862,
        1.65977,
        1.7137,
        1.77434,
        1.614,
        1.64567,
        1.72377,
        1.68361,
        1.68991,
        1.69032,
        1.74315,
        1.8069,
        1.74508,
        1.67788,
        1.74599,
        1.84174,
        1.66066,
        1.79253,
        1.76335,
        1.78067,
        1.75327,
        1.83204,
        1.85909,
        1.92425,
        2.19862,
        2.12594,
        2.09098,
        2.21717,
        2.09659,
        2.11693,
        1.79807,
        1.80367,
        1.80411,
        1.81422,
        1.81367,
        1.76833,
        1.73836,
        1.82167,
        1.85293,
        1.81457,
        1.70018,
        1.67903,
        1.75673,
        1.69506,
        1.64493,
        1.67056,
        1.71337,
        1.60805,
        1.61212,
        1.69688,
        1.69784,
        1.70694,
        1.72217,
        1.66612,
        1.65648,
        1.5482,
        1.64858,
        1.7483,
        1.69429,
        1.78615,
        1.71783,
        1.76345,
        1.74648,
        1.59883,
        1.71452,
        1.70653,
        1.7264,
        1.71503,
        1.74555,
        1.69648,
        1.74144,
        1.60461,
        1.76544,
        1.8485,
        1.79139,
        1.8092,
        1.74536,
        1.76595,
        1.74411,
        1.81029,
        1.86166,
        1.87949,
        1.77364,
        1.85397,
        1.79561,
        1.85688,
        1.89617,
        1.87746,
        1.84115,
        1.8178,
        1.93093,
        1.95136,
        1.84542,
        1.73012,
        1.83325,
        1.76877,
        1.8336,
        1.81176,
        1.80673,
        1.78668,
        1.82691,
        1.86548,
        1.84557,
        1.81885,
        1.87665,
        1.93072,
        1.873,
        1.99803,
        1.91884,
        1.91499,
        1.8741,
        1.87969,
        1.95472,
        1.81961,
        1.91673,
        1.87095,
        1.87965,
        1.8564,
        1.86493,
        1.82695,
        1.88042,
        1.8583,
        1.86861,
        1.90447,
        1.86606,
        1.70585,
        1.80298,
        1.79518,
        1.81682,
        1.86087,
        1.92027,
        1.85806,
        1.82401,
        1.81168,
        1.83442,
        1.78969,
        1.76143,
        1.79129,
        1.75071,
        1.81494,
        1.79568,
        1.76486,
        1.74404,
        1.75392,
        1.7564,
        1.76569,
        1.74968,
        1.72655,
        1.72062,
        1.78459,
        1.7716,
        1.76026,
        1.76307,
        1.78239,
        1.69561,
        1.79511,
        1.69293,
        1.7882,
        1.77098,
        1.77533,
        1.82618,
        1.77681,
        1.69445,
        1.86565,
        1.79716,
        1.87935,
        1.98816,
        2.13139,
        2.10124,
        2.14228,
        1.68303,
        1.73712,
        1.91402,
        1.78403,
        1.81908,
        1.85598,
        1.76523,
        1.72359,
        1.78732,
        1.72936,
        1.78412,
        1.81306,
        1.77197,
        1.79947,
        1.74163,
        1.76421,
        1.89118,
        1.9011,
        1.88616,
        1.8731,
        1.85218,
        1.7617,
        1.87517,
        1.89204,
        1.87813,
        1.88389,
        1.91666,
        1.89,
        1.86961,
        1.85396,
        1.89373,
        1.96996,
        1.91261,
        1.92432,
        1.89378,
        1.92583,
        1.94911,
        2.04253,
        1.95666,
        1.88304,
        1.91794,
        1.82946,
        1.90413,
        1.88583,
        1.84225,
        1.90077,
        1.86486,
        1.8686,
        1.86444,
        1.85606,
        2.02101,
        1.91839,
        1.84263,
        1.86864,
        1.84613,
        1.83088,
        1.90487,
        1.90446,
        1.88239,
        1.88955,
        1.88944,
        1.88122,
        1.9084,
        1.91942,
        1.84128,
        1.79413,
        1.81994,
        1.83422,
        1.93005,
        1.87518,
        1.87225,
        1.73056,
        1.83413,
        1.91443,
        1.95618,
        1.98097,
        1.82662,
        1.7507,
        1.84942,
        2.00497,
        2.04425,
        2.04534,
        1.9963,
        1.90544,
        1.80984,
        1.93023,
        2.11432,
        2.07132,
        1.966,
        1.8642,
        2.10253,
        1.88854,
        2.01987,
        1.93221,
        1.7837,
        1.77272,
        1.83723,
        1.84705,
        1.77586,
        1.8913,
        1.836,
        1.7902,
        1.63389,
        1.76077,
        1.67434,
        1.64299,
        1.80919,
        1.72716,
        1.92723,
        2.02391,
        1.80473,
        1.75295,
        1.87954,
        1.71412,
        1.8196,
        1.83685,
        1.83146,
        1.83148,
        1.82882,
        1.68538,
        1.74755,
        1.81061,
        1.81012,
        1.75441,
        1.72696,
        1.72959,
        1.78823,
        1.73204,
        1.73863,
        1.78265,
        1.73496,
        1.73947,
        1.64829,
        1.69655,
        1.69166,
        1.72291,
        1.71962,
        1.71929,
        1.76858,
        1.69248,
        1.64809,
        1.6206,
        1.60933,
        1.65636,
        1.6871,
        1.69447,
        1.64961,
        1.67366,
        1.66481,
        1.59525,
        1.59366,
        1.57792,
        1.60111,
        1.63386,
        1.60303,
        1.64466,
        1.62881,
        1.6348,
        1.66726,
        1.6318,
        1.58516,
        1.57397,
        1.58197,
        1.61509,
        1.58955,
        1.58697,
        1.58553,
        1.64717,
        1.68559,
        1.66388,
        1.63897,
        1.70266,
        1.59636,
        1.70628,
        1.67172,
        1.71148,
        1.59921,
        1.5503,
        1.50561,
        1.62792,
        1.66725,
        1.61363,
        1.59993,
        1.63934,
        1.63936,
        1.65692,
        1.63399,
        1.66571,
        1.63884,
        1.6641,
        1.73115,
        1.58107,
        1.61386,
        1.60295,
        1.71694,
        1.65108,
        1.64212,
        1.65845,
        1.63156,
        1.57064,
        1.59063,
        1.6153,
        1.57091,
        1.65703,
        1.63432,
        1.656,
        1.5861,
        1.64389,
        1.65091,
        1.63183,
        1.63059,
        1.7453,
        1.67076,
        1.54109,
        1.7022,
        1.67906,
        1.6492,
        1.62865,
        1.6746,
        1.68607,
        1.74141,
        1.79646,
        1.82962,
        1.74741,
        1.69677,
        1.62809,
        1.68673,
        1.70011,
        1.78786,
        1.73125,
        1.78851,
        1.8122,
        1.67478,
        1.72512,
        1.72209,
        1.73324,
        1.76456,
        1.71029,
        1.68938,
        1.63186,
        1.67323,
        1.62304,
        1.64949,
        1.75227,
        1.73076,
        1.75041,
        1.78249,
        1.63336,
        1.72131,
        1.70359,
        1.78652,
        1.78082,
        1.7493,
        1.73659,
        1.7644,
        1.72234,
        1.74447,
        1.6914,
        1.70351,
        1.78697,
        1.69992,
        1.66581,
        1.76864,
        1.7784,
        1.73908,
        1.68937,
        1.68086,
        1.7054,
        1.68042,
        1.63798,
        1.67181,
        1.69491,
        1.71019,
        1.63205,
        1.66553,
        1.69333,
        1.66405,
        1.67809,
        1.63334,
        1.64682,
        1.62968,
        1.59848,
        1.59509,
        1.69583,
        1.62878,
        1.68132,
        1.65455,
        1.70587,
        1.64623,
        1.63369,
        1.65447,
        1.64255,
        1.66632,
        1.74685,
        1.60459,
        1.65467,
        1.69549,
        1.63798,
        1.65817,
        1.68364,
        1.6597,
        1.59823,
        1.65825,
        1.63722,
        1.59948,
        1.61638,
        1.57095,
        1.51423,
        1.67112,
        1.6596,
        1.63325,
        1.66196,
        1.64859,
        1.66998,
        1.65681,
        1.67154,
        1.62446,
        1.7235,
        1.74018,
        1.66579,
        1.71575,
        1.85704,
        1.91925,
        1.88467,
        1.85349,
        1.79499,
        1.8074,
        1.65888,
        1.5873,
        1.64088,
        1.63538,
        1.66603,
        1.64727,
        1.68342,
        1.65577,
        1.74413,
        1.78824,
        1.71204,
        1.67125,
        1.71875,
        1.73511,
        1.72446,
        1.71189,
        1.6611,
        1.61374,
        1.61451,
        1.60035,
        1.64581,
        1.69944,
        1.72099,
        1.68854,
        1.62231,
        1.61648,
        1.65968,
        1.70902,
        1.73298,
        1.71489,
        1.71684,
        1.77518,
        1.78771,
        1.67113,
        1.61759,
        1.73632,
        1.70707,
        1.76487,
        1.64213,
        1.71732,
        1.77666,
        1.68632,
        1.66771,
        1.66843,
        1.78278,
        1.79929,
        1.78914,
        1.82023,
        1.75918,
        1.61016,
        1.6355,
        1.66517,
        1.70842,
        1.58733,
        1.66196,
        1.71649,
        1.6894,
        1.68419,
        1.67058,
        1.73313,
        1.6819,
        1.66829,
        1.59283,
        1.67691,
        1.73759,
        1.71604,
        1.72861,
        1.67976,
        1.55322,
        1.64065,
        1.61327,
        1.64974,
        1.63436,
        1.58955,
        1.70218,
        1.70726,
        1.71132,
        1.71149,
        1.7042,
        1.75584,
        1.72118,
        1.61426,
        1.59106,
        1.62501,
        1.58949,
        1.62775,
        1.61361,
        1.68384,
        1.6287,
        1.60175,
        1.65445,
        1.6887,
        1.65885,
        1.65981,
        1.661,
        1.58671,
        1.62531,
        1.70111,
        1.62708,
        1.56521,
        1.65113,
        1.67476,
        1.71664,
        1.68435,
        1.64783,
        1.65024,
        1.69951,
        1.73426,
        1.64343,
        1.72785,
        1.71028,
        1.59018,
        1.65364,
        1.68828,
        1.65003,
        1.64414,
        1.6468,
        1.74852,
        1.7092,
        1.72947,
        1.7255,
        1.61781,
        1.65181,
        1.74993,
        1.72336,
        1.7007,
        1.66498,
        1.65084,
        1.69992,
        1.65514,
        1.74255,
        1.66971,
        1.75959,
        1.75393,
        1.6371,
        1.55643,
        1.66975,
        1.77214,
        1.69313,
        1.70944,
        1.78985,
        1.67609,
        1.66806,
        1.60058,
        1.68104,
        1.77105,
        1.64759,
        1.63019,
        1.72637,
        1.71964,
        1.75421,
        1.68904,
        1.82999,
        1.7474,
        1.69274,
        1.72346,
        1.58867,
        1.61492,
        1.66986,
        1.76447,
        1.70168,
        1.65383,
        1.56642,
        1.54769,
        1.67891,
        1.70897,
        1.72555,
        1.70205,
        1.67953,
        1.76686,
        1.72249,
        1.69547,
        1.61551,
        1.74633,
        1.65869,
        1.6677,
        1.60675,
        1.62576,
        1.75486,
        1.67012,
        1.64145,
        1.67545,
        1.57288,
        1.52285,
        1.67255,
        1.68307,
        1.71376,
        1.64227,
        1.6482,
        1.57177,
        1.60199,
        1.68004,
        1.67457,
        1.68406,
        1.66008,
        1.70699,
        1.72444,
        1.77174,
        1.72937,
        1.77632,
        1.82116,
        1.68075,
        1.75343,
        1.81031,
        1.82351,
        1.66754,
        1.76155,
        1.78304,
        2.01281,
        1.87133,
        1.68355,
        1.95259,
        2.01662,
        1.9916,
        1.84898,
        2.02586,
        1.98485,
        1.78396,
        1.56758,
        1.5479,
        1.8014,
        2.2021,
        2.05279,
        2.16495,
        2.09867,
        2.05347,
        2.02927,
        2.28324,
        2.18603,
        1.87078,
        2.08709,
        2.3052,
        2.12696,
        2.41435,
        null,
        2.35555,
        1.97123,
        2.18229,
        2.32082,
        2.03073,
        2.03047,
        2.07287,
        2.10495,
        1.9795,
        1.82786,
        2.02875,
        2.05405,
        2.10255,
        2.24427,
        2.32573,
        2.17648,
        2.00403,
        2.05996,
        2.15258,
        2.19888,
        1.98531,
        2.02627,
        1.95004,
        1.9821,
        1.94852,
        1.89955,
        1.88143,
        1.97532,
        1.97986,
        1.91048,
        1.95227,
        2.00922,
        1.88929,
        1.90241,
        1.96193,
        1.88355,
        1.92278,
        1.86491,
        1.83682,
        1.83474,
        2.07551,
        2.04567,
        1.98584,
        1.91637,
        2.2674,
        2.5831,
        2.38844,
        2.25039,
        2.05557,
        1.98204,
        1.93232,
        1.81474,
        1.76056,
        1.96727,
        2.01636,
        2.01751,
        1.88031,
        1.91266,
        1.79072,
        1.76265,
        1.88256,
        1.74708,
        1.69929,
        1.85899,
        1.74335,
        1.66506,
        1.72597,
        1.67115,
        1.71331,
        1.77016,
        1.74425,
        1.79321,
        1.79046,
        1.79816,
        1.75651,
        1.71687,
        1.73526,
        1.75532,
        1.73661,
        1.72335,
        1.77645,
        1.82374,
        1.79538,
        1.7623,
        1.64727,
        1.66779,
        1.62716,
        1.6783,
        1.68151,
        1.70131,
        1.70687,
        1.68265,
        1.72255,
        1.67876,
        1.65083,
        1.7065,
        1.74241,
        1.72943,
        1.7247,
        1.75458,
        1.67268,
        1.6801,
        1.61783,
        1.6959,
        1.69225,
        1.7573,
        1.73903,
        1.69792,
        1.64063,
        1.62587,
        1.64931,
        1.65896,
        1.68135,
        1.76597,
        1.7102,
        1.63684,
        1.65098,
        1.66994,
        1.67997,
        1.70604,
        1.62755,
        1.62815,
        1.62401,
        1.67053,
        1.62704,
        1.60899,
        1.65548,
        1.66859,
        1.63869,
        1.69863,
        1.65405,
        1.67435,
        1.69377,
        1.65834,
        1.58217,
        1.59316,
        1.60183,
        1.62604,
        1.56974,
        1.68096,
        1.66944,
        1.68964,
        1.59963,
        1.61056,
        1.66324,
        1.64344,
        1.66867,
        1.70046,
        1.76083,
        1.72955,
        1.67222,
        1.70959,
        1.64685,
        1.62412,
        1.62393,
        1.65385,
        1.76528,
        1.73456,
        1.69832,
        1.7483,
        1.81889,
        1.6647,
        1.6095,
        1.66246,
        1.64522,
        1.60859,
        1.76655,
        1.72534,
        1.69893,
        1.65772,
        1.63865,
        1.62072,
        1.57018,
        1.60203,
        1.54969,
        1.55727,
        1.59652,
        1.6976,
        1.65179,
        1.69174,
        1.65523,
        1.57809,
        1.70601,
        1.68817,
        1.59361,
        1.69285,
        1.60172,
        1.64176,
        1.72507,
        1.57851,
        1.72662,
        1.77318,
        1.73373,
        1.7459,
        1.74017,
        1.6789,
        1.57675,
        1.63195,
        1.60455,
        1.56178,
        1.59155,
        1.61116,
        1.62357,
        1.60753,
        1.71636,
        1.68142,
        1.6241,
        1.55187,
        1.57365,
        1.69414,
        1.67785,
        1.64555,
        1.6874,
        1.64499,
        1.70532,
        1.68526,
        1.67493,
        1.64802,
        1.62424,
        1.5823,
        1.69045,
        1.65388,
        1.67521,
        1.56102,
        1.67716,
        1.7928,
        1.75946,
        1.61739,
        1.61592,
        1.71946,
        1.62858,
        1.63499,
        1.59908,
        1.60239,
        1.6488,
        1.68346,
        1.58527,
        1.58492,
        1.60399,
        1.68663,
        1.73965,
        1.69713,
        1.68502,
        1.72181,
        1.73185,
        1.68396,
        1.64632,
        1.70321,
        1.68159,
        1.65097,
        1.6359,
        1.6941,
        1.63107,
        1.60498,
        1.64648,
        1.66894,
        1.67873,
        1.62764,
        1.6508,
        1.71791,
        1.67121,
        1.68478,
        1.62498,
        1.68923,
        1.68216,
        1.73066,
        1.73231,
        1.6425,
        1.70459,
        1.71083,
        1.70618,
        1.77213,
        1.71183,
        1.64451,
        1.6323,
        1.64489,
        1.58241,
        1.6595,
        1.68056,
        1.66649,
        1.65426,
        1.71762,
        1.74706,
        1.7359,
        1.64657,
        1.60959,
        1.68228,
        1.66879,
        1.74036,
        1.70091,
        1.65835,
        1.67732,
        1.68688,
        1.67709,
        1.72743,
        1.69331,
        1.69729,
        1.71235,
        1.69826,
        1.71303,
        1.62797,
        1.66819,
        1.66694,
        1.64427,
        1.63836,
        1.64075,
        1.66664,
        1.62186,
        1.65289,
        1.59741,
        1.68594,
        1.63242,
        1.66165,
        1.65198,
        1.56771,
        1.65655,
        1.75732,
        1.66646,
        1.56028,
        1.55024,
        1.61043,
        1.65999,
        1.61965,
        1.65296,
        1.64014,
        1.6832,
        1.62966,
        1.5714,
        1.5749,
        1.62305,
        1.6062,
        1.6611,
        1.6997,
        1.6936,
        1.63295,
        1.6313,
        1.59292,
        1.60618,
        1.62667,
        1.56637,
        1.67637,
        1.81437,
        1.66469,
        1.73835,
        1.60527,
        1.6252,
        1.60966,
        1.70044,
        1.69358,
        1.62486,
        1.66786,
        1.61666,
        1.59165,
        1.60331,
        1.68464,
        1.70223,
        1.65988,
        1.55953,
        1.55934,
        1.68166,
        1.706,
        1.8136,
        1.75065,
        1.69367,
        1.68874,
        1.61965,
        1.74823,
        1.73458,
        1.6647,
        1.68456,
        1.73168,
        1.72569,
        1.69282,
        1.64371,
        1.66317,
        1.71883,
        1.73998,
        1.7061,
        1.77739,
        1.72742,
        1.66527,
        1.64144,
        1.71055,
        1.66831,
        1.64898,
        1.57985,
        1.67844,
        1.7037,
        1.61029,
        1.63951,
        1.66382,
        1.64328,
        1.6674,
        1.67166,
        1.67242,
        1.62928,
        1.6459,
        1.7005,
        1.67156,
        1.58826,
        1.64218,
        1.6511,
        1.748,
        1.76809,
        1.6714,
        1.72695,
        1.53526,
        1.54473,
        1.58452,
        1.61232,
        1.5534,
        1.64981,
        1.6939,
        1.66189,
        1.74282,
        1.6867,
        1.66167,
        1.73913,
        1.62341,
        1.58427,
        1.63636,
        1.59931,
        1.63714,
        1.66081,
        1.63855,
        1.64158,
        1.61087,
        1.6203,
        1.63792,
        1.57446,
        1.51651,
        1.58705,
        1.6243,
        1.63233,
        1.60475,
        1.58986,
        1.58745,
        1.61198,
        1.63644,
        1.67803,
        1.62381,
        1.67395,
        1.62277,
        1.62323,
        1.598,
        1.60095,
        1.52921,
        1.61661,
        1.55247,
        1.66017,
        1.69447,
        1.72912,
        1.57561,
        1.6683,
        1.63495,
        1.73399,
        1.67978,
        1.69466,
        1.66271,
        1.64448,
        1.73786,
        1.66751,
        1.67374,
        1.61414,
        1.5684,
        1.5763,
        1.62362,
        1.69107,
        1.55222,
        1.56709,
        1.58689,
        1.60954,
        1.54173,
        1.58689,
        1.56422,
        1.51329,
        1.52754,
        1.54906,
        1.68509,
        1.66595,
        1.62361,
        1.62021,
        1.61716,
        1.60562,
        1.56719,
        1.64153,
        1.57351,
        1.67982,
        1.63866,
        1.62715,
        1.68408,
        1.74941,
        1.6592,
        1.764,
        1.69926,
        1.74278,
        1.67432,
        1.68631,
        1.66627,
        1.62817,
        1.66265,
        1.73345,
        1.78245,
        1.72492,
        1.72389,
        1.67903,
        1.71966,
        1.66232,
        1.69725,
        1.6725,
        1.73303,
        1.77688,
        1.71332,
        1.7329,
        1.90109,
        1.81124,
        1.67882,
        1.75919,
        1.75089,
        1.78234,
        1.78433,
        1.82701,
        1.84536,
        1.86425,
        1.81273,
        1.69504,
        1.82555,
        1.72306,
        1.79854,
        1.73073,
        1.78542,
        1.82661,
        1.74448,
        1.76436,
        1.74015,
        1.90071,
        1.89831,
        1.79464,
        1.75792,
        1.79575,
        1.76475,
        1.82311,
        1.77713,
        1.82521,
        1.88161,
        1.86819,
        1.97089,
        1.94302,
        1.76644,
        1.71546,
        1.83391,
        1.79731,
        1.85713,
        1.88722,
        1.83639,
        1.84559,
        1.91928,
        1.79595,
        1.78311,
        1.81322,
        1.7533,
        1.85077,
        1.85284,
        1.85212,
        1.85335,
        1.78388,
        1.75951,
        1.85931,
        1.69057,
        1.75655,
        1.88865,
        1.83533,
        1.75071,
        1.73992,
        1.79075,
        1.79545,
        1.75128,
        1.74969,
        1.74715,
        1.72589,
        1.86808,
        1.7903,
        1.72795,
        1.84531,
        1.79295,
        1.72199,
        1.84601,
        1.81573,
        1.73715,
        1.74721,
        1.84687,
        1.74419,
        1.7709,
        1.76626,
        1.91176,
        1.86058,
        1.7339,
        1.75536,
        1.76736,
        1.90068,
        1.89468,
        1.69242,
        1.5715,
        1.82081,
        1.62906,
        2.39618,
        2.28572,
        2.07901,
        2.12497,
        2.08634,
        1.90804,
        2.02697,
        2.01694,
        1.80694,
        1.93439,
        1.85561,
        1.71918,
        1.89251,
        1.86287,
        1.75482,
        1.70629,
        1.66675,
        1.78332,
        1.7516,
        1.70599,
        1.88878,
        1.85709,
        1.91574,
        1.75733,
        1.73858,
        1.67323,
        1.68882,
        1.84231,
        1.74721,
        1.68701,
        1.71667,
        1.90293,
        1.90548,
        1.73535,
        1.73061,
        1.59269,
        1.708,
        1.78748,
        1.68403,
        1.69267,
        1.78882,
        1.78605,
        1.74255,
        1.77384,
        1.72632,
        1.74222,
        1.75357,
        1.88268,
        1.80127,
        1.74744,
        1.76993,
        1.87533,
        1.78932,
        1.79076,
        1.82326,
        1.89422,
        1.78041,
        1.69465,
        1.89448,
        1.8402,
        1.7447,
        1.77152,
        1.73063,
        1.71328,
        1.72686,
        1.73938,
        1.71581,
        1.7946,
        1.80618,
        1.82912,
        1.84842,
        1.82553,
        1.74711,
        1.74849,
        1.94063,
        1.85459,
        1.7436,
        1.89713,
        1.88588,
        1.81507,
        1.77757,
        1.86785,
        1.8568,
        1.77347,
        1.75762,
        1.88802,
        1.84241,
        1.73957,
        1.85125,
        1.96439,
        1.99399,
        1.88604,
        1.91798,
        1.88849,
        1.91869,
        1.85173,
        1.94271,
        1.96404,
        1.98039,
        1.93761,
        1.80844,
        1.81548,
        1.87045,
        1.85837,
        1.90001,
        1.94349,
        1.93575,
        2.05596,
        2.09918,
        1.99646,
        1.82688,
        1.86158,
        1.83443,
        2.08609,
        1.92482,
        2.04782,
        1.8798,
        1.92429,
        1.93936,
        1.75235,
        1.85428,
        1.82571,
        1.85623,
        1.80314,
        1.8475,
        1.87482,
        1.86651,
        1.9992,
        1.74162,
        1.75531,
        1.78906,
        1.87541,
        1.85161,
        1.77326,
        1.93112,
        1.96126,
        1.94324,
        1.87261,
        1.80554,
        1.69334,
        1.57566,
        1.86729,
        null,
        2.77153,
        2.85463,
        2.59009,
        2.84303,
        2.54166,
        2.60675,
        2.45529,
        2.70909,
        2.73715,
        2.5786,
        2.52222,
        2.44361,
        2.30287,
        2.16455,
        2.27197,
        2.52462,
        2.14625,
        2.39567,
        2.45991,
        2.5989,
        2.70196,
        2.43931,
        2.41375,
        2.94613,
        2.63574,
        2.10159,
        1.93628,
        2.32691,
        2.53199,
        2.03896,
        2.3776,
        2.19332,
        2.3816,
        2.33048,
        2.70641,
        2.24472,
        1.96127,
        2.00988,
        2.45883,
        2.30513,
        2.38531,
        2.17053,
        2.40851,
        2.712,
        2.36351,
        2.6638,
        2.66993,
        2.722,
        2.6528,
        2.61832,
        2.75941,
        2.42214,
        2.4349,
        2.53347,
        2.48773,
        2.6711,
        2.08891,
        1.8051,
        2.3767,
        2.56604,
        2.26249,
        2.32873,
        2.48058,
        2.22719,
        2.33306,
        2.10237,
        2.07729,
        2.10359,
        2.63707,
        2.29319,
        2.53743,
        2.15856,
        2.43593,
        2.68944,
        2.53948,
        2.02488,
        1.95794,
        2.08029,
        2.24535,
        2.30986,
        2.35226,
        2.44747,
        2.34085,
        2.12118,
        2.06173,
        2.15176,
        2.28434,
        2.22467,
        2.31793,
        2.17312,
        2.45176,
        2.26194,
        2.80613,
        2.28378,
        1.98313,
        2.03629,
        2.05048,
        2.39736,
        2.59143,
        2.2499,
        2.02567,
        2.31906,
        2.56584,
        2.25557,
        2.091,
        2.28049,
        1.94116,
        2.47378,
        2.1738,
        2.35539,
        1.97124,
        2.32647,
        2.37043,
        2.21328,
        2.22679,
        2.0235,
        2.07608,
        2.62399,
        1.96398,
        2.47496,
        2.35711,
        2.38699,
        2.30968,
        2.17905,
        2.75264,
        2.54651,
        2.40495,
        2.46747,
        2.57064,
        2.45421,
        3.03248,
        2.57746,
        2.4165,
        2.60476,
        2.75342,
        2.98768,
        2.48646,
        2.64265,
        2.7734,
        2.87439,
        null,
        3.6061,
        3.13908,
        2.92239,
        3.026,
        2.8218,
        2.99196,
        2.94175,
        2.85065,
        2.68889,
        2.73834,
        2.77851,
        3.3548,
        2.79178,
        2.66361,
        2.71654,
        2.93245,
        2.6493,
        3.02984,
        2.86808,
        2.36657,
        2.59215,
        2.41273,
        2.75804,
        2.46216,
        2.48424,
        2.91736,
        2.45167,
        2.38245,
        2.97188,
        2.7609,
        2.53303,
        2.66879,
        2.4284,
        2.21924,
        2.65449,
        2.47237,
        2.2512,
        2.39494,
        2.69172,
        2.67983,
        2.59958,
        2.52237,
        2.20507,
        2.35679,
        2.34024,
        2.26221,
        2.13241,
        2.51548,
        2.63299,
        2.06077,
        1.93124,
        2.27516,
        2.29217,
        2.04658,
        2.26916,
        2.41852,
        2.40162,
        2.13339,
        2.29765,
        2.32872,
        2.64931,
        1.99304,
        2.09748,
        2.17185,
        2.04755,
        2.28633,
        2.29324,
        2.26111,
        1.97159,
        2.27902,
        2.03219,
        1.99986,
        2.20277,
        2.27129,
        2.10214,
        2.26448,
        2.30593,
        2.11208,
        2.36448,
        1.94282,
        2.05134,
        2.04425,
        2.2816,
        2.14913,
        2.04765,
        2.3562,
        2.34663,
        2.33261,
        2.33794,
        2.33433,
        2.3142,
        2.06593,
        2.31001,
        2.57042,
        2.15908,
        2.24924,
        2.47485,
        2.40995,
        2.17917,
        1.9488,
        2.15416,
        1.98857,
        2.2936,
        2.31731,
        2.25633,
        1.91158,
        2.20722,
        2.16512,
        2.11522,
        2.00452,
        2.08019,
        2.06724,
        2.10641,
        2.11996,
        2.29075,
        2.32581,
        2.15194,
        2.15919,
        2.16649,
        2.1623,
        2.36939,
        2.56985,
        2.48289,
        2.22541,
        2.2157,
        2.29994,
        2.44476,
        2.658,
        2.56784,
        2.33841,
        3.01456,
        2.50789,
        2.26221,
        2.56216,
        2.91152,
        2.37546,
        2.38077,
        2.19288,
        2.22187,
        2.16801,
        2.32611,
        2.23661,
        2.28391,
        2.31997,
        2.24097,
        2.43294,
        2.4777,
        2.27632,
        2.20279,
        2.25598,
        2.17539,
        2.12782,
        2.16856,
        2.237,
        1.97889,
        1.98082,
        2.44231,
        2.36171,
        2.32665,
        2.18806,
        2.28112,
        2.3649,
        1.97306,
        2.15625,
        2.3764,
        2.16971,
        2.17833,
        2.17097,
        2.20147,
        2.18808,
        2.27568,
        2.15963,
        2.32823,
        2.25261,
        2.23496,
        2.23779,
        2.06041,
        2.06783,
        2.20728,
        2.17214,
        2.29897,
        2.20786,
        1.98728,
        2.29376,
        2.09519,
        2.06648,
        2.2497,
        2.01604,
        2.17681,
        2.17817,
        1.94042,
        2.26254,
        2.29048,
        2.44648,
        2.41337,
        2.5401,
        2.20042,
        2.4295,
        2.47441,
        2.61321,
        2.42662,
        2.62528,
        2.21362,
        2.2633,
        2.42036,
        2.31748,
        2.1545,
        2.49023,
        2.61485,
        2.55379,
        2.34429,
        2.43564,
        2.46848,
        2.34897,
        2.22532,
        2.06043,
        2.18038,
        2.02645,
        2.08621,
        2.24472,
        2.2374,
        2.20629,
        2.28979,
        2.13872,
        2.11367,
        2.13581,
        2.34351,
        2.00008,
        2.03241,
        2.28765,
        2.16368,
        2.1942,
        2.3331,
        2.26581,
        2.38232,
        2.28127,
        2.39231,
        2.35549,
        2.25171,
        2.00446,
        2.14202,
        2.21709,
        2.16077,
        2.40427,
        2.33729,
        2.42287,
        2.39638,
        2.19668,
        2.00222,
        2.37381,
        2.36003,
        2.32845,
        2.29094,
        2.5023,
        2.56719,
        2.50001,
        1.99389,
        1.97445,
        1.83111,
        2.30397,
        2.63456,
        2.06236,
        2.22217,
        2.28508,
        2.03694,
        2.00246,
        2.32462,
        2.08274,
        2.11246,
        2.21103,
        2.20848,
        1.96734,
        2.15345,
        2.37907,
        2.07069,
        2.28627,
        2.21584,
        1.99772,
        2.10385,
        2.02482,
        2.11579,
        2.14273,
        2.15064,
        2.10161,
        2.24876,
        2.18409,
        2.09874,
        2.24197,
        2.21689,
        2.23026,
        2.12025,
        2.11832,
        1.99879,
        2.05842,
        2.04979,
        2.08722,
        2.16617,
        2.19019,
        2.24707,
        2.2483,
        2.14922,
        2.11421,
        2.12615,
        2.15572,
        2.1789,
        2.08009,
        2.00502,
        2.06045,
        2.17019,
        2.17445,
        2.19272,
        2.10344,
        2.05687,
        2.06273,
        2.21202,
        2.27192,
        2.20338,
        2.39783,
        2.40694,
        2.26944,
        2.25768,
        2.18324,
        2.19925,
        2.13478,
        2.04887,
        2.01395,
        2.17707,
        2.10104,
        2.15199,
        2.10424,
        2.06382,
        2.15181,
        2.17263,
        2.15169,
        2.22428,
        2.13956,
        2.07251,
        2.14808,
        2.41082,
        2.16209,
        2.14189,
        2.28131,
        2.41257,
        2.36463,
        2.28415,
        2.2451,
        2.30669,
        2.09159,
        2.10502,
        2.22775,
        2.2775,
        2.30962,
        2.17069,
        2.28973,
        2.25192,
        2.08219,
        2.09597,
        2.17262,
        2.2778,
        2.22372,
        2.20748,
        2.08627,
        2.15397,
        2.18661,
        2.27921,
        2.17812,
        2.19584,
        2.43601,
        2.28775,
        2.11643,
        2.10319,
        2.22395,
        2.27351,
        2.33723,
        2.25348,
        2.30789,
        2.24219,
        2.22413,
        2.09557,
        2.15506,
        2.19509,
        2.13709,
        2.25414,
        2.20682,
        2.08747,
        2.21915,
        2.24393,
        2.35297,
        2.40148,
        2.32789,
        2.36653,
        2.29463,
        2.18037,
        2.08706,
        2.13225,
        2.27165,
        2.36081,
        2.32806,
        2.12427,
        2.29563,
        2.33416,
        2.30757,
        2.31039,
        2.2925,
        2.3312,
        2.11318,
        2.22429,
        2.12486,
        2.16018,
        2.07238,
        2.11638,
        2.15508,
        2.05944,
        2.02758,
        2.1685,
        2.23752,
        2.19158,
        2.01961,
        2.16006,
        2.24602,
        2.45392,
        2.3453,
        2.4568,
        2.36173,
        2.32945,
        2.38163,
        2.539,
        2.46529,
        2.51189,
        2.3232,
        2.35609,
        2.27136,
        1.95805,
        2.13149,
        2.25652,
        2.1904,
        2.0184,
        2.09889,
        2.03708,
        2.05771,
        2.16279,
        2.19142,
        1.96127,
        2.00298,
        1.9656,
        1.9029,
        2.02595,
        2.29232,
        2.22272,
        2.22804,
        2.15604,
        2.13857,
        2.17504,
        2.1613,
        2.08586,
        2.06973,
        2.08128,
        2.14529,
        2.06754,
        2.13575,
        2.20119,
        2.14869,
        2.25911,
        1.99627,
        1.98854,
        2.21217,
        2.11947,
        2.07896,
        2.05755,
        1.8929,
        1.91814,
        2.06789,
        2.0266,
        2.0352,
        2.07401,
        1.95326,
        2.01372,
        2.27546,
        2.10773,
        2.0373,
        2.19665,
        2.08648,
        2.07126,
        2.24731,
        2.36858,
        2.26212,
        2.13599,
        1.9517,
        1.93761,
        1.99439,
        2.20114,
        2.14244,
        2.14428,
        2.15104,
        2.02894,
        2.04524,
        2.2773,
        2.30239,
        2.05487,
        2.20225,
        2.30379,
        2.28351,
        2.19873,
        2.54288,
        2.5826,
        2.19423,
        2.13874,
        2.27436,
        2.29132,
        2.03998,
        1.97845,
        2.2204,
        2.03739,
        2.01865,
        2.34923,
        2.34742,
        2.39977,
        2.40463,
        2.27751,
        2.07189,
        2.18137,
        2.40485,
        2.14161,
        2.37328,
        2.34016,
        1.87887,
        1.83131,
        1.88655,
        1.87658,
        1.99397,
        2.0767,
        2.16342,
        2.02084,
        2.0325,
        2.06644,
        2.3116,
        2.37838,
        2.15185,
        2.20989,
        2.33984,
        2.45828,
        2.19136,
        2.03472,
        2.28698,
        2.40158,
        2.48903,
        2.10539,
        2.13598,
        2.26133,
        2.3325,
        2.05975,
        1.89166,
        2.26737,
        2.56775,
        2.61495,
        2.22802,
        2.35542,
        2.4197,
        2.2361,
        2.2009,
        1.9672,
        1.81591,
        2.1784,
        2.0311,
        1.95571,
        2.19231,
        2.10869,
        1.94471,
        2.15558,
        2.37223,
        2.2474,
        2.26704,
        2.18345,
        2.30701,
        2.62539,
        2.26304,
        2.04124,
        2.34278,
        2.27538,
        2.18688,
        2.34083,
        2.27198,
        2.16172,
        2.29141,
        2.29974,
        2.31552,
        2.06802,
        2.13197,
        1.97938,
        1.86333,
        2.27184,
        2.13311,
        1.99497,
        2.49887,
        2.31797,
        2.27993,
        2.4108,
        2.23693,
        2.43205,
        2.24415,
        2.56012,
        2.85984,
        2.58126,
        2.89913,
        2.3632,
        2.44144,
        2.48014,
        2.49537,
        2.86768,
        2.72166
    ],
    "flux_error": [
        0.103274,
        0.099906,
        0.0974505,
        0.0945336,
        0.0920772,
        0.0905818,
        0.0894929,
        0.0890934,
        0.0884013,
        0.0864375,
        0.0862411,
        0.0866031,
        0.0897354,
        0.0906178,
        0.0905333,
        0.0929731,
        0.0952794,
        0.099838,
        0.107583,
        0.116207,
        0.128541,
        0.146965,
        0.174904,
        0.21691,
        0.181231,
        0.160075,
        0.147513,
        0.141519,
        0.13951,
        0.140766,
        0.142049,
        0.143832,
        0.147968,
        0.151252,
        0.153501,
        0.159394,
        0.168928,
        0.184793,
        0.206452,
        0.260836,
        0.188914,
        0.169586,
        0.153761,
        0.141938,
        0.135104,
        0.126787,
        0.118558,
        0.115055,
        0.114136,
        0.113891,
        0.114477,
        0.111946,
        0.107813,
        0.104479,
        0.102231,
        0.101526,
        0.101631,
        0.111092,
        0.120074,
        0.125414,
        0.130651,
        0.149534,
        0.171879,
        0.193109,
        0.205014,
        0.175685,
        0.148414,
        0.12891,
        0.115178,
        0.105069,
        0.0982729,
        0.0939624,
        0.0946911,
        0.0947862,
        0.0895212,
        0.0895319,
        0.09011,
        0.0922967,
        0.0961498,
        0.101802,
        0.1122,
        0.125138,
        0.136702,
        0.141575,
        0.14062,
        0.147168,
        0.144472,
        0.135795,
        0.157309,
        0.1601,
        0.154593,
        0.166609,
        0.180969,
        0.193909,
        0.21118,
        0.2395,
        0.248395,
        0.216181,
        0.180983,
        0.165135,
        0.151057,
        0.139861,
        0.131363,
        0.127151,
        0.127589,
        0.128285,
        0.129563,
        0.135594,
        0.14553,
        0.158628,
        0.168436,
        0.167638,
        0.151438,
        0.131038,
        0.11462,
        0.102903,
        0.0939264,
        0.0871508,
        0.0978453,
        0.091974,
        0.0772832,
        0.0746705,
        0.0733174,
        0.0725254,
        0.0714599,
        0.0708545,
        0.0701155,
        0.0689872,
        0.0676739,
        0.0675391,
        0.067077,
        0.0664655,
        0.0668213,
        0.0668828,
        0.067171,
        0.0682511,
        0.0696981,
        0.0713263,
        0.0730319,
        0.0748602,
        0.0776737,
        0.0815286,
        0.0851895,
        0.0908781,
        0.0968697,
        0.104449,
        0.116154,
        0.133356,
        0.151595,
        0.174721,
        0.200116,
        0.217304,
        0.227183,
        0.237654,
        0.253399,
        0.214041,
        0.200974,
        0.177863,
        0.149013,
        0.12951,
        0.116152,
        0.110465,
        0.101131,
        0.0923495,
        0.0863943,
        0.0820335,
        0.0787129,
        0.0761753,
        0.0750344,
        0.0739046,
        0.0720739,
        0.0703471,
        0.068155,
        0.0659525,
        0.0640747,
        0.0625875,
        0.0620038,
        0.0611906,
        0.0605272,
        0.0597945,
        0.0595395,
        0.0652374,
        0.0650247,
        0.0586714,
        0.0588594,
        0.058562,
        0.0587929,
        0.0597562,
        0.0605719,
        0.0610881,
        0.0618744,
        0.0631674,
        0.0659556,
        0.0700732,
        0.0749698,
        0.0800903,
        0.0837104,
        0.0856316,
        0.085144,
        0.0839768,
        0.0837787,
        0.084332,
        0.0852134,
        0.0867193,
        0.08964,
        0.0938923,
        0.099041,
        0.105501,
        0.114365,
        0.124965,
        0.137478,
        0.174125,
        0.20031,
        0.21129,
        0.257753,
        0.197927,
        0.169613,
        0.150574,
        0.134115,
        0.121754,
        0.113021,
        0.104248,
        0.0983003,
        0.0941483,
        0.090128,
        0.0855921,
        0.0806816,
        0.0768245,
        0.0733337,
        0.0704979,
        0.0684838,
        0.0677308,
        0.0676622,
        0.0677002,
        0.0686188,
        0.0710355,
        0.0740295,
        0.0774339,
        0.0790426,
        0.078268,
        0.0746669,
        0.0786342,
        0.0742252,
        0.0633259,
        0.0611527,
        0.0600475,
        0.0602024,
        0.0601988,
        0.0602705,
        0.0616154,
        0.0628882,
        0.0638289,
        0.0645697,
        0.0644996,
        0.063269,
        0.0627213,
        0.0629269,
        0.06374,
        0.0644595,
        0.0649047,
        0.0657236,
        0.0675269,
        0.0782151,
        0.0808076,
        0.0744286,
        0.0774068,
        0.0810475,
        0.0855635,
        0.0897867,
        0.0942014,
        0.0977287,
        0.101513,
        0.106921,
        0.114076,
        0.123932,
        0.136716,
        0.153413,
        0.175758,
        0.206198,
        0.170311,
        0.147446,
        0.131467,
        0.119286,
        0.108126,
        0.0990505,
        0.0913297,
        0.085933,
        0.0821751,
        0.0782999,
        0.0745501,
        0.0711601,
        0.0683519,
        0.0667419,
        0.0648467,
        0.0630191,
        0.061748,
        0.0607268,
        0.0599545,
        0.0592515,
        0.058695,
        0.0582157,
        0.0579088,
        0.0582502,
        0.0586371,
        0.0582697,
        0.0581876,
        0.0580028,
        0.0581585,
        0.0578254,
        0.0565406,
        0.056071,
        0.0559335,
        0.0569542,
        0.0578396,
        0.0589966,
        0.060078,
        0.0611007,
        0.0623715,
        0.0637513,
        0.0649739,
        0.0667263,
        0.0684905,
        0.0713655,
        0.0737484,
        0.0758353,
        0.0787834,
        0.0820201,
        0.0888776,
        0.0856013,
        0.0875805,
        0.0911513,
        0.0950387,
        0.100573,
        0.107384,
        0.115346,
        0.127166,
        0.142649,
        0.163092,
        0.191883,
        0.225401,
        0.252598,
        0.217721,
        0.189861,
        0.16484,
        0.146502,
        0.136838,
        0.120115,
        0.10907,
        0.109076,
        0.0967932,
        0.0863888,
        0.0816442,
        0.0774998,
        0.072792,
        0.0685821,
        0.0655558,
        0.0632541,
        0.0619102,
        0.0599463,
        0.0572557,
        0.0554384,
        0.0540104,
        0.0529855,
        0.0522093,
        0.0515403,
        0.0506653,
        0.0500251,
        0.0491147,
        0.0485348,
        0.0481749,
        0.0479845,
        0.0559483,
        0.0568308,
        0.0481106,
        0.0480669,
        0.0481649,
        0.0484279,
        0.0489434,
        0.049411,
        0.0498328,
        0.0501714,
        0.0510498,
        0.0521709,
        0.0529482,
        0.0532329,
        0.0535374,
        0.0540623,
        0.0551368,
        0.0567198,
        0.0589212,
        0.0615839,
        0.0686529,
        0.0733349,
        0.0723995,
        0.074953,
        0.0788307,
        0.0835719,
        0.0895283,
        0.0975191,
        0.107884,
        0.12275,
        0.143985,
        0.193718,
        0.202305,
        0.177489,
        0.179876,
        0.182898,
        0.194,
        0.211225,
        0.181932,
        0.155984,
        0.135186,
        0.120749,
        0.108941,
        0.09959,
        0.0922018,
        0.0857784,
        0.080932,
        0.0760698,
        0.0753107,
        0.0726851,
        0.0672368,
        0.0647094,
        0.0622781,
        0.060097,
        0.0584889,
        0.0572562,
        0.0561825,
        0.0549543,
        0.0545135,
        0.054472,
        0.0540054,
        0.0520814,
        0.0518416,
        0.0522304,
        0.0535833,
        0.0561773,
        0.0552487,
        0.0543217,
        0.0542841,
        0.0534064,
        0.0525601,
        0.0517157,
        0.0517767,
        0.0521266,
        0.0523215,
        0.0537936,
        0.0554534,
        0.0572516,
        0.0592649,
        0.062546,
        0.063351,
        0.0620991,
        0.0638514,
        0.0670121,
        0.0720884,
        0.0861284,
        0.0934067,
        0.101206,
        0.112716,
        0.118415,
        0.117247,
        0.107579,
        0.0961455,
        0.0900479,
        0.0868527,
        0.085743,
        0.0861783,
        0.0881302,
        0.0915569,
        0.0958161,
        0.101111,
        0.106766,
        0.11512,
        0.123895,
        0.137274,
        0.154181,
        0.176693,
        0.206374,
        0.244848,
        0.187939,
        0.164075,
        0.167465,
        0.151798,
        0.123004,
        0.114591,
        0.105552,
        0.111813,
        0.107443,
        0.0926317,
        0.0923364,
        0.0940288,
        0.0996064,
        0.111342,
        0.125817,
        0.13743,
        0.139345,
        0.127172,
        0.109474,
        0.0944166,
        0.0830566,
        0.0750335,
        0.0703628,
        0.0725949,
        0.0705435,
        0.0632987,
        0.0624792,
        0.0622652,
        0.0629495,
        0.0634821,
        0.0636555,
        0.0641272,
        0.0683852,
        0.0700724,
        0.0725323,
        0.078248,
        0.0867959,
        0.099453,
        0.116118,
        0.137783,
        0.148474,
        0.142319,
        0.125151,
        0.107585,
        0.0931663,
        0.0827933,
        0.0746463,
        0.0686976,
        0.0649903,
        0.0625663,
        0.0609212,
        0.0601409,
        0.0597365,
        0.0596205,
        0.0598754,
        0.0607735,
        0.0622058,
        0.0634894,
        0.0673546,
        0.0704978,
        0.0727789,
        0.0766706,
        0.0815812,
        0.0959711,
        0.101568,
        0.0967969,
        0.102944,
        0.111275,
        0.122334,
        0.135725,
        0.154132,
        0.178752,
        0.212175,
        0.262623,
        0.217986,
        0.171278,
        0.145616,
        0.129592,
        0.12623,
        0.118771,
        0.101424,
        0.087192,
        0.0815902,
        0.0780156,
        0.0748276,
        0.0730293,
        0.0698517,
        0.0670553,
        0.0664798,
        0.0742319,
        0.0731365,
        0.0639135,
        0.0634708,
        0.0684952,
        0.0695242,
        0.0661973,
        0.0681727,
        0.0714459,
        0.0772636,
        0.0858626,
        0.0978688,
        0.11649,
        0.14446,
        0.180793,
        0.226279,
        0.185736,
        0.12537,
        0.0947397,
        0.0793574,
        0.0701294,
        0.0641899,
        0.060559,
        0.0643387,
        0.0664455,
        0.0566233,
        0.0568388,
        0.0566541,
        0.0608935,
        0.0606973,
        0.0594942,
        0.0603476,
        0.0604859,
        0.0604735,
        0.0635213,
        0.0646575,
        0.059992,
        0.065577,
        0.0678961,
        0.0655818,
        0.0683664,
        0.072751,
        0.0761863,
        0.0794719,
        0.0823181,
        0.0874643,
        0.0925033,
        0.0993772,
        0.109582,
        0.125155,
        0.140678,
        0.156284,
        0.216259,
        0.153523,
        0.136107,
        0.124074,
        0.114445,
        0.106344,
        0.100729,
        0.0960701,
        0.094147,
        0.0924923,
        0.0931829,
        0.0968816,
        0.100828,
        0.106935,
        0.132546,
        0.147902,
        0.161471,
        0.229047,
        0.175313,
        0.140908,
        0.130692,
        0.105709,
        0.0793263,
        0.0708801,
        0.064588,
        0.0647027,
        0.0610734,
        0.0544622,
        0.0519818,
        0.0504384,
        0.0497175,
        0.0484373,
        0.0476495,
        0.0477247,
        0.0479866,
        0.0484424,
        0.0493506,
        0.049987,
        0.0507245,
        0.053615,
        0.0537659,
        0.0512205,
        0.0496857,
        0.048359,
        0.0475652,
        0.0470694,
        0.0469164,
        0.0474253,
        0.0472738,
        0.0473503,
        0.0480349,
        0.0489198,
        0.0492696,
        0.0501812,
        0.0516681,
        0.0528896,
        0.055,
        0.0655804,
        0.0681361,
        0.0617191,
        0.0646124,
        0.0673088,
        0.0699701,
        0.0731442,
        0.0776683,
        0.0816468,
        0.086518,
        0.0982536,
        0.110193,
        0.111709,
        0.126708,
        0.144094,
        0.165749,
        0.19864,
        0.240109,
        0.235808,
        0.218855,
        0.215978,
        0.167495,
        0.136576,
        0.114355,
        0.0986351,
        0.0886725,
        0.081027,
        0.0745685,
        0.0692305,
        0.0646806,
        0.0610088,
        0.0589182,
        0.0568855,
        0.0540711,
        0.052536,
        0.0512933,
        0.0509035,
        0.0496358,
        0.0483324,
        0.0483072,
        0.0481922,
        0.048298,
        0.0487745,
        0.0503436,
        0.0509561,
        0.0480827,
        0.047722,
        0.0485629,
        0.0590994,
        0.0604747,
        0.055698,
        0.0615307,
        0.069518,
        0.0810091,
        0.0982573,
        0.11831,
        0.13065,
        0.125645,
        0.106091,
        0.0969,
        0.0837428,
        0.0671236,
        0.0695465,
        0.0670608,
        0.0598615,
        0.0582908,
        0.054515,
        0.0542501,
        0.0543581,
        0.0544753,
        0.0547868,
        0.0560383,
        0.0571047,
        0.0585994,
        0.0606258,
        0.0629046,
        0.0684075,
        0.0727841,
        0.0756333,
        0.0804628,
        0.0832774,
        0.0903734,
        0.098508,
        0.107866,
        0.120043,
        0.13673,
        0.157941,
        0.187514,
        0.225561,
        0.278126,
        0.355101,
        0.161775,
        0.136746,
        0.118184,
        0.105213,
        0.0949203,
        0.0867886,
        0.0792551,
        0.0742993,
        0.0696439,
        0.0654739,
        0.0621061,
        0.0591761,
        0.0572555,
        0.0560514,
        0.0548242,
        0.0543326,
        0.0537338,
        0.0538491,
        0.0538104,
        0.0530101,
        0.0528497,
        0.0519199,
        0.0490146,
        0.0476426,
        0.0465441,
        0.0458734,
        0.0454864,
        0.0449291,
        0.0431869,
        0.042307,
        0.0414067,
        0.0409624,
        0.0405973,
        0.0402963,
        0.0401331,
        0.0398232,
        0.0396756,
        0.0395349,
        0.0393737,
        0.0398969,
        0.0406004,
        0.0400678,
        0.0397998,
        0.0405006,
        0.0410554,
        0.0412252,
        0.0416051,
        0.0419289,
        0.041624,
        0.0415257,
        0.0416333,
        0.0424621,
        0.0432408,
        0.0433281,
        0.0438182,
        0.0446896,
        0.0453297,
        0.046722,
        0.0481538,
        0.0494974,
        0.0514132,
        0.0534843,
        0.0552442,
        0.0575357,
        0.0597358,
        0.0628438,
        0.0657833,
        0.0700246,
        0.0742697,
        0.0807514,
        0.0880648,
        0.0961014,
        0.105664,
        0.117284,
        0.135174,
        0.159761,
        0.241846,
        0.200667,
        0.172219,
        0.149748,
        0.132534,
        0.119265,
        0.109231,
        0.100487,
        0.0942455,
        0.0877686,
        0.0821548,
        0.077016,
        0.0726477,
        0.0699772,
        0.0674544,
        0.0642051,
        0.0611168,
        0.0594359,
        0.0564706,
        0.0529573,
        0.0520155,
        0.0502496,
        0.0488775,
        0.0473139,
        0.0457896,
        0.0450697,
        0.0446584,
        0.0436785,
        0.0430286,
        0.0425582,
        0.0420924,
        0.0418531,
        0.0416287,
        0.0412397,
        0.0408135,
        0.040897,
        0.0409728,
        0.0406961,
        0.0401446,
        0.0393806,
        0.0445311,
        0.0427239,
        0.0392032,
        0.0390474,
        0.0392693,
        0.0394687,
        0.0408929,
        0.0423041,
        0.0394742,
        0.0397058,
        0.0402945,
        0.0408297,
        0.0414337,
        0.0405402,
        0.0413051,
        0.0421402,
        0.0424711,
        0.0434325,
        0.0474169,
        0.048566,
        0.0464383,
        0.047293,
        0.0481187,
        0.0487091,
        0.0494958,
        0.050874,
        0.0519495,
        0.0529114,
        0.0547984,
        0.0588622,
        0.0615465,
        0.0624819,
        0.0653336,
        0.0692416,
        0.0746626,
        0.080092,
        0.0867524,
        0.0952348,
        0.105734,
        0.11714,
        0.142435,
        0.171722,
        0.176818,
        0.212714,
        0.186096,
        0.160968,
        0.138114,
        0.123418,
        0.110905,
        0.100742,
        0.0897839,
        0.0822892,
        0.0771342,
        0.0721204,
        0.068211,
        0.0649822,
        0.0621798,
        0.0594709,
        0.0578149,
        0.0555449,
        0.0543975,
        0.0529782,
        0.052081,
        0.051415,
        0.0509747,
        0.0507238,
        0.0499967,
        0.0553223,
        0.0557126,
        0.0512331,
        0.0522787,
        0.0603571,
        0.0633116,
        0.0607028,
        0.0656153,
        0.0723867,
        0.0817249,
        0.0945786,
        0.110075,
        0.120127,
        0.121258,
        0.112584,
        0.100521,
        0.0877728,
        0.0769088,
        0.0677136,
        0.0617693,
        0.0580516,
        0.0557713,
        0.0527157,
        0.0527771,
        0.0515916,
        0.0490571,
        0.0482094,
        0.0479254,
        0.0479514,
        0.0482119,
        0.0480382,
        0.0482704,
        0.0488276,
        0.0496527,
        0.0499209,
        0.0504002,
        0.0511276,
        0.0522724,
        0.0536304,
        0.0548239,
        0.0565213,
        0.0596711,
        0.0629995,
        0.0739935,
        0.0799117,
        0.0785443,
        0.0852778,
        0.0941563,
        0.10745,
        0.129322,
        0.160463,
        0.20721,
        0.258038,
        0.208644,
        0.175725,
        0.149785,
        0.129916,
        0.11574,
        0.104492,
        0.0954659,
        0.0870885,
        0.0811578,
        0.0762632,
        0.0718827,
        0.0685718,
        0.0664476,
        0.0634569,
        0.0615926,
        0.0588521,
        0.0566655,
        0.0551227,
        0.0530956,
        0.0524368,
        0.0511282,
        0.0493095,
        0.0486708,
        0.0478427,
        0.0474104,
        0.0457082,
        0.0449471,
        0.0446996,
        0.0439968,
        0.0439564,
        0.0436577,
        0.0437486,
        0.0497689,
        0.0501614,
        0.0434457,
        0.0426248,
        0.0427531,
        0.0429468,
        0.0430555,
        0.0438385,
        0.0443342,
        0.0445879,
        0.0444672,
        0.0476464,
        0.0499155,
        0.0457666,
        0.0471431,
        0.0487203,
        0.0479634,
        0.0490656,
        0.0496841,
        0.0509237,
        0.052766,
        0.0543552,
        0.0557483,
        0.057038,
        0.0585072,
        0.0603621,
        0.0618764,
        0.0663309,
        0.0687985,
        0.0727774,
        0.0802922,
        0.0901645,
        0.103481,
        0.122792,
        0.149414,
        0.194878,
        0.201767,
        0.165759,
        0.14465,
        0.128853,
        0.121287,
        0.116068,
        0.114438,
        0.114888,
        0.116954,
        0.122614,
        0.128878,
        0.136406,
        0.148793,
        0.16601,
        0.233262,
        0.284195,
        0.210842,
        0.174427,
        0.15095,
        0.133928,
        0.118916,
        0.107951,
        0.0984204,
        0.0898852,
        0.0833939,
        0.0784673,
        0.0742739,
        0.0703182,
        0.0672968,
        0.0648898,
        0.0626664,
        0.0606791,
        0.0585827,
        0.0571482,
        0.0558239,
        0.0551266,
        0.0544546,
        0.0549679,
        0.0550596,
        0.0553731,
        0.0578658,
        0.0544523,
        0.0532078,
        0.0529601,
        0.05088,
        0.0505557,
        0.0507721,
        0.0510624,
        0.0516765,
        0.0519454,
        0.0513523,
        0.05037,
        0.0494582,
        0.0487969,
        0.0484105,
        0.0484262,
        0.0488749,
        0.0489757,
        0.0494005,
        0.0505881,
        0.0518171,
        0.0529012,
        0.054367,
        0.0562465,
        0.0620984,
        0.0645462,
        0.0648253,
        0.069689,
        0.0767317,
        0.0868466,
        0.0999106,
        0.118966,
        0.145788,
        0.191598,
        0.2662,
        0.293595,
        0.216144,
        0.190193,
        0.157364,
        0.115345,
        0.0994554,
        0.0886687,
        0.0814104,
        0.0765347,
        0.0719005,
        0.0702326,
        0.071319,
        0.0701352,
        0.0679388,
        0.0677808,
        0.0686869,
        0.0699818,
        0.0711104,
        0.0729977,
        0.075874,
        0.0792433,
        0.083821,
        0.0901219,
        0.0973027,
        0.104679,
        0.114776,
        0.128655,
        0.147341,
        0.172436,
        0.20987,
        0.161271,
        0.141521,
        0.12402,
        0.1116,
        0.10305,
        0.0970581,
        0.091386,
        0.0875169,
        0.0836012,
        0.0797746,
        0.0763272,
        0.0726511,
        0.0701841,
        0.0666622,
        0.0626435,
        0.0608712,
        0.0652483,
        0.0597737,
        0.0545067,
        0.0537885,
        0.0526811,
        0.0524149,
        0.0513953,
        0.0505513,
        0.0499087,
        0.0499284,
        0.0499062,
        0.0502325,
        0.0503813,
        0.0508401,
        0.0603372,
        0.0612696,
        0.0526456,
        0.0535442,
        0.0542656,
        0.0560852,
        0.0583588,
        0.061809,
        0.0663202,
        0.0700191,
        0.0763588,
        0.0858913,
        0.0980688,
        0.116296,
        0.14216,
        0.18244,
        0.267871,
        0.204064,
        0.163097,
        0.136105,
        0.115769,
        0.0996201,
        0.0888213,
        0.0810059,
        0.0746776,
        0.0697844,
        0.0669622,
        0.0646054,
        0.0627534,
        0.0613897,
        0.0602833,
        0.0601382,
        0.0608781,
        0.0606643,
        0.0591082,
        0.0586916,
        0.0587567,
        0.059144,
        0.0599973,
        0.0614195,
        0.0626585,
        0.0646415,
        0.0658308,
        0.0686564,
        0.0714278,
        0.0740355,
        0.0767321,
        0.0796751,
        0.0823426,
        0.0844675,
        0.0880919,
        0.0946632,
        0.101135,
        0.109446,
        0.122337,
        0.137114,
        0.15912,
        0.188764,
        0.230392,
        0.249879,
        0.205428,
        0.172676,
        0.149109,
        0.133239,
        0.120163,
        0.108413,
        0.101417,
        0.0958633,
        0.0905697,
        0.0866539,
        0.0832855,
        0.0808465,
        0.0794247,
        0.078694,
        0.078291,
        0.0769082,
        0.0741972,
        0.0716526,
        0.0694164,
        0.067858,
        0.0665827,
        0.0652558,
        0.0644368,
        0.0645489,
        0.0652169,
        0.0669181,
        0.0746369,
        0.0814903,
        0.0742455,
        0.0910992,
        0.0977352,
        0.0913845,
        0.104029,
        0.120625,
        0.145081,
        0.187571,
        0.248359,
        0.210682,
        0.160407,
        0.130274,
        0.109672,
        0.0948606,
        0.0858442,
        0.0782781,
        0.0723774,
        0.0679477,
        0.0652656,
        0.0621905,
        0.0601675,
        0.0589683,
        0.0572466,
        0.0564275,
        0.0556356,
        0.0550521,
        0.0542601,
        0.0540564,
        0.0544858,
        0.0544052,
        0.054563,
        0.0547154,
        0.0551154,
        0.0555169,
        0.0570516,
        0.0577918,
        0.0595952,
        0.0602408,
        0.0605278,
        0.0601671,
        0.0598911,
        0.0597077,
        0.0601926,
        0.061223,
        0.0621288,
        0.0634196,
        0.0641497,
        0.0656741,
        0.0674738,
        0.0694065,
        0.0723611,
        0.0770582,
        0.0816101,
        0.0865214,
        0.0930603,
        0.101059,
        0.112165,
        0.121808,
        0.131667,
        0.143151,
        0.16006,
        0.177742,
        null,
        0.133994,
        0.126168,
        0.123297,
        0.124582,
        0.131277,
        0.145086,
        0.16606,
        0.189334,
        0.221475,
        0.260599,
        0.192229,
        0.143078,
        0.112804,
        0.0921933,
        0.0774368,
        0.0675199,
        0.0609604,
        0.0562225,
        0.0523797,
        0.049353,
        0.0470184,
        0.0452754,
        0.0444718,
        0.0434849,
        0.0420421,
        0.0409844,
        0.0403411,
        0.0399151,
        0.0398854,
        0.0403686,
        0.0411734,
        0.0423336,
        0.0434764,
        0.0440754,
        0.0439233,
        0.0428862,
        0.0412545,
        0.0394552,
        0.0379467,
        0.0372714,
        0.0366692,
        0.0360208,
        0.0357775,
        0.0355076,
        0.03525,
        0.0353501,
        0.0354992,
        0.0357445,
        0.0359961,
        0.0362243,
        0.0363436,
        0.0364717,
        0.0367785,
        0.0372508,
        0.037365,
        0.0376653,
        0.0382849,
        0.0387174,
        0.039172,
        0.0399477,
        0.0409098,
        0.0417711,
        0.0424664,
        0.0437165,
        0.0456069,
        0.0470734,
        0.04889,
        0.0518621,
        0.0557941,
        0.0603075,
        0.0652287,
        0.0704702,
        0.0743529,
        0.0772937,
        0.0816472,
        0.0896456,
        0.101576,
        0.118381,
        0.142293,
        0.178909,
        0.20089,
        0.144665,
        0.113472,
        0.0934725,
        0.0799096,
        0.0712056,
        0.0714379,
        0.0664277,
        0.0574529,
        0.0557371,
        0.0549428,
        0.0535674,
        0.0517468,
        0.0491938,
        0.0461357,
        0.0432943,
        0.041514,
        0.0404135,
        0.039824,
        0.0396924,
        0.0395529,
        0.039604,
        0.0395782,
        0.0394365,
        0.0391078,
        0.0389506,
        0.0387804,
        0.038933,
        0.0397518,
        0.0408908,
        0.041602,
        0.0421402,
        0.0417854,
        0.0402419,
        0.0381841,
        0.0363695,
        0.0349573,
        0.0340133,
        0.0333849,
        0.0330462,
        0.0326981,
        0.0324438,
        0.0323245,
        0.0323256,
        0.0324679,
        0.0327863,
        0.0330241,
        0.033071,
        0.0332607,
        0.0336456,
        0.0338143,
        0.0338711,
        0.0340739,
        0.0343156,
        0.0361364,
        0.0361726,
        0.0351622,
        0.035469,
        0.035984,
        0.0365461,
        0.0372496,
        0.037881,
        0.0386143,
        0.0398622,
        0.0408366,
        0.0418085,
        0.0434025,
        0.0450539,
        0.0470304,
        0.0493752,
        0.0526792,
        0.057798,
        0.0626095,
        0.067721,
        0.0760936,
        0.0864147,
        0.10067,
        0.122133,
        0.155097,
        0.209249,
        0.162357,
        0.137331,
        0.120412,
        0.108277,
        0.0967757,
        0.0859055,
        0.0753975,
        0.0684942,
        0.0609008,
        0.0531866,
        0.0492397,
        0.0458148,
        0.0432513,
        0.0411341,
        0.039843,
        0.0386397,
        0.0371521,
        0.0363399,
        0.0356395,
        0.0350246,
        0.0345411,
        0.034154,
        0.0338541,
        0.0338058,
        0.0336303,
        0.0330197,
        0.0324271,
        0.0315541,
        0.0307725,
        0.0303287,
        0.0299104,
        0.0292905,
        0.0289771,
        0.0288221,
        0.0287049,
        0.028769,
        0.0287798,
        0.0287461,
        0.0287916,
        0.028696,
        0.0283727,
        0.0280557,
        0.027939,
        0.0278213,
        0.02773,
        0.0276522,
        0.0275512,
        0.0274586,
        0.0275366,
        0.0280176,
        0.0283025,
        0.0279568,
        0.0281258,
        0.0285353,
        0.0286317,
        0.0287979,
        0.0296754,
        0.029698,
        0.029597,
        0.0299339,
        0.0303148,
        0.030709,
        0.0313348,
        0.0317527,
        0.0323318,
        0.0330309,
        0.0337388,
        0.0339991,
        0.0345103,
        0.035186,
        0.0359567,
        0.0366155,
        0.0388232,
        0.0399545,
        0.0402725,
        0.0421742,
        0.0446169,
        0.0478505,
        0.0535791,
        0.0574794,
        0.0606918,
        0.0638181,
        0.0666041,
        0.0696843,
        0.0763689,
        0.0845655,
        0.0948905,
        0.113991,
        0.144595,
        0.191249,
        0.218334,
        0.160288,
        0.121695,
        0.104516,
        0.0898311,
        0.0723948,
        0.0640565,
        0.058129,
        0.0535211,
        0.0499535,
        0.0485847,
        0.0458028,
        0.0428478,
        0.0410083,
        0.0394464,
        0.0387152,
        0.0383997,
        0.038237,
        0.0387204,
        0.0378681,
        0.0362415,
        0.0351455,
        0.0342938,
        0.0334235,
        0.0327245,
        0.0319695,
        0.0310133,
        0.0302747,
        0.0297951,
        0.0292873,
        0.0301457,
        0.0301684,
        0.0308603,
        0.0303287,
        0.0274504,
        0.029276,
        0.0291396,
        0.0271095,
        0.0270427,
        0.0272602,
        0.0273287,
        0.0270689,
        0.0269568,
        0.0270938,
        0.0275175,
        0.0280168,
        0.0288602,
        0.0300544,
        0.031399,
        0.0322708,
        0.0321872,
        0.034297,
        0.0329881,
        0.0292126,
        0.0286332,
        0.0280803,
        0.0277776,
        0.0276201,
        0.0276024,
        0.027632,
        0.0278803,
        0.0302,
        0.0295452,
        0.0283631,
        0.0287239,
        0.0290928,
        0.0295472,
        0.0297023,
        0.0299865,
        0.0305519,
        0.030959,
        0.0315105,
        0.0320508,
        0.0326788,
        0.0335041,
        0.0347602,
        0.0360211,
        0.0375394,
        0.0392617,
        0.042408,
        0.0457441,
        0.0491062,
        0.054261,
        0.0606542,
        0.0681179,
        0.0765138,
        0.0865033,
        0.102628,
        0.127772,
        0.162532,
        0.175816,
        0.132552,
        0.106629,
        0.0890281,
        0.0767277,
        0.0682961,
        0.062474,
        0.0586291,
        0.055861,
        0.0534953,
        0.052656,
        0.0525551,
        0.0531648,
        0.0529512,
        0.0548551,
        0.0558252,
        0.0488169,
        0.0461336,
        0.0461791,
        0.0472084,
        0.0493829,
        0.0531078,
        0.0594816,
        0.0709881,
        0.090683,
        0.126622,
        0.198005,
        0.158748,
        0.107119,
        0.0788269,
        0.0622792,
        0.0528004,
        0.0459955,
        0.040747,
        0.0377651,
        0.035503,
        0.033592,
        0.032153,
        0.0310252,
        0.0302297,
        0.0295821,
        0.0290203,
        0.0286348,
        0.0283963,
        0.0282147,
        0.028087,
        0.0278123,
        0.0280526,
        0.0280256,
        0.02759,
        0.0284754,
        0.02833,
        0.0310302,
        0.0309582,
        0.0281022,
        0.0281619,
        0.0284781,
        0.0288954,
        0.0296269,
        0.0308906,
        0.0326093,
        0.0342836,
        0.0359795,
        0.036897,
        0.0367841,
        0.0361852,
        0.0360726,
        0.0361509,
        0.0366807,
        0.0420734,
        0.0444481,
        0.0430358,
        0.0474593,
        0.0537705,
        0.0627288,
        0.074952,
        0.0931929,
        0.118756,
        0.150495,
        0.173409,
        0.181867,
        0.184523,
        0.184312,
        0.175575,
        0.152129,
        0.128577,
        0.112186,
        0.10165,
        0.093164,
        0.085313,
        0.079823,
        0.0762076,
        0.0760906,
        0.0803648,
        0.0875683,
        0.0957282,
        0.114785,
        0.140818,
        0.196919,
        0.22365,
        0.149749,
        0.111101,
        0.0908593,
        0.0750069,
        0.0621837,
        0.0558181,
        0.048977,
        0.0450684,
        0.0428225,
        0.0401155,
        0.0375398,
        0.0358601,
        0.0343981,
        0.0333436,
        0.0322909,
        0.0314102,
        0.0361984,
        0.0350753,
        0.0296452,
        0.0290447,
        0.0286027,
        0.0283491,
        0.0279781,
        0.0276219,
        0.0275354,
        0.0275658,
        0.0277825,
        0.0273159,
        0.0269629,
        0.026972,
        0.0268592,
        0.0268575,
        0.0267768,
        0.0264041,
        0.0260356,
        0.0262671,
        0.0254337,
        0.0249171,
        0.0247854,
        0.0249598,
        0.0251325,
        0.0252228,
        0.025462,
        0.0257142,
        0.026341,
        0.0271004,
        0.0281218,
        0.029368,
        0.0307228,
        0.0317019,
        0.0321101,
        0.0317001,
        0.0312781,
        0.0314587,
        0.0321134,
        0.0329677,
        0.0339343,
        0.0343093,
        0.0338031,
        0.0329248,
        0.031907,
        0.0315216,
        0.0317814,
        0.0326536,
        0.0334401,
        0.0344617,
        0.0360425,
        0.0389193,
        0.0431822,
        0.0488484,
        0.0564942,
        0.0673629,
        0.0879404,
        0.110352,
        0.125292,
        0.137524,
        0.143546,
        0.145605,
        0.142724,
        0.130833,
        0.109899,
        0.0875973,
        0.0712069,
        0.0603721,
        0.0531487,
        0.0566931,
        0.0529139,
        0.041317,
        0.040391,
        0.0389618,
        0.0371959,
        0.0368999,
        0.0371016,
        0.0375488,
        0.0381716,
        0.0392568,
        0.0410614,
        0.0447218,
        0.0482849,
        0.0499462,
        0.0551521,
        0.0625309,
        0.0807581,
        0.0949033,
        0.113554,
        0.15442,
        0.231156,
        0.203815,
        0.141705,
        0.104904,
        0.0834553,
        0.0696644,
        0.0599119,
        0.054441,
        0.0503948,
        0.0466705,
        0.0437706,
        0.0396625,
        0.0380207,
        0.036214,
        0.0349326,
        0.0339009,
        0.033096,
        0.0326845,
        0.0325764,
        0.0328309,
        0.0331839,
        0.0340617,
        0.0348535,
        0.0350077,
        0.033726,
        0.0321525,
        0.0309611,
        0.0300435,
        0.0295836,
        0.0295509,
        0.0299746,
        0.0307472,
        0.0314472,
        0.0319227,
        0.0313974,
        0.030119,
        0.0289182,
        0.0277747,
        0.02692,
        0.0264516,
        0.0259957,
        0.0254712,
        0.0252962,
        0.0252548,
        0.0253046,
        0.025466,
        0.0262575,
        0.0264568,
        0.0262308,
        0.026226,
        0.0266375,
        0.0270716,
        0.0275429,
        0.0279756,
        0.0283612,
        0.0288614,
        0.030227,
        0.0308047,
        0.0324522,
        0.0344794,
        0.0365948,
        0.0397856,
        0.0441591,
        0.0495138,
        0.0575352,
        0.069327,
        0.0847331,
        0.101344,
        0.112303,
        0.116319,
        0.116719,
        0.115872,
        0.111734,
        0.101208,
        0.0854036,
        0.0706024,
        0.0606178,
        0.0512902,
        0.0438947,
        0.0407075,
        0.0378103,
        0.0364273,
        0.0349454,
        0.0324777,
        0.0315528,
        0.0309409,
        0.0304594,
        0.0302868,
        0.0302644,
        0.03319,
        0.0332021,
        0.0302753,
        0.0307928,
        0.0339591,
        0.0343299,
        0.0323324,
        0.0333194,
        0.0370268,
        0.0396952,
        0.0383064,
        0.0403831,
        0.0434515,
        0.0475027,
        0.0526273,
        0.059653,
        0.0704651,
        0.0772903,
        0.0875127,
        0.104737,
        0.131214,
        0.179409,
        0.142821,
        0.108729,
        0.0888167,
        0.0759888,
        0.0680695,
        0.0635603,
        0.0612215,
        0.0617671,
        0.0657003,
        0.0740693,
        0.0903463,
        0.114454,
        0.14922,
        0.205274,
        0.244485,
        0.231217,
        0.178211,
        0.126438,
        0.0919548,
        0.0714201,
        0.0584607,
        0.0498583,
        0.0449919,
        0.0415258,
        0.0381835,
        0.0363745,
        0.03517,
        0.0344433,
        0.0344873,
        0.0347303,
        0.0347969,
        0.0351773,
        0.0358601,
        0.0372703,
        0.0391634,
        0.0419411,
        0.0457897,
        0.0518681,
        0.0599256,
        0.0728505,
        0.0943134,
        0.130214,
        0.197989,
        0.185422,
        0.133527,
        0.10695,
        0.0931862,
        0.0855965,
        0.0867271,
        0.0927779,
        0.102746,
        0.112409,
        0.118647,
        0.118085,
        0.116742,
        0.114712,
        0.112751,
        0.107271,
        0.0956825,
        0.0813542,
        0.0727751,
        0.0651085,
        0.0565976,
        0.0507705,
        0.0456616,
        0.0417048,
        0.0386147,
        0.0359353,
        0.0338716,
        0.0327164,
        0.0368239,
        0.0358472,
        0.0300966,
        0.0294401,
        0.0287266,
        0.0285998,
        0.0284114,
        0.0281922,
        0.0280159,
        0.0278761,
        0.0283988,
        0.0281925,
        0.0302565,
        0.030863,
        0.029123,
        0.0302962,
        0.0295357,
        0.0290827,
        0.028953,
        0.029091,
        0.0292747,
        0.029541,
        0.0299347,
        0.030763,
        0.0317402,
        0.0330702,
        0.0399345,
        0.0413611,
        0.0381844,
        0.0423481,
        0.0471949,
        0.0520484,
        0.0610044,
        0.0786204,
        0.0972115,
        0.118216,
        0.18806,
        0.178784,
        0.119724,
        0.090753,
        0.0721522,
        0.0600873,
        0.0521061,
        0.0463773,
        0.0422578,
        0.0392734,
        0.0371584,
        0.0351965,
        0.0339603,
        0.0325971,
        0.0314898,
        0.0307869,
        0.0305737,
        0.0309218,
        0.031259,
        0.0312006,
        0.0308546,
        0.030263,
        0.0295746,
        0.0290081,
        0.0322437,
        0.0318043,
        0.0288611,
        0.0281847,
        0.0281135,
        0.0284543,
        0.029254,
        0.0302731,
        0.0313825,
        0.0321502,
        0.0327305,
        0.031848,
        0.030743,
        0.0300281,
        0.029748,
        0.0302888,
        0.0311441,
        0.0322159,
        0.0364202,
        0.0380951,
        0.0378036,
        0.0421024,
        0.0484965,
        0.057163,
        0.0675617,
        0.0767217,
        0.0930403,
        0.0955823,
        0.0852058,
        0.0848798,
        0.0847347,
        0.0898837,
        0.0837402,
        0.0661835,
        0.055412,
        0.0504423,
        0.0437507,
        0.0383297,
        0.0382862,
        0.0351914,
        0.0321046,
        0.0317868,
        0.0302695,
        0.0295641,
        0.0293549,
        0.0294975,
        0.0299874,
        0.0308415,
        0.0313394,
        0.0324154,
        0.0338811,
        0.0358641,
        0.0393832,
        0.0408343,
        0.0412101,
        0.0411353,
        0.0404003,
        0.0393522,
        0.0386979,
        0.0381843,
        0.0372289,
        0.0360692,
        0.0349603,
        0.0338391,
        0.0325686,
        0.0316218,
        0.0309629,
        0.030522,
        0.030228,
        0.0300706,
        0.0299789,
        0.0300888,
        0.0314083,
        0.0319281,
        0.0330808,
        0.0343431,
        0.0346069,
        0.034661,
        0.0342492,
        0.0343761,
        0.0342799,
        0.0343289,
        0.0350492,
        0.0366207,
        0.0390696,
        0.0423933,
        0.0477499,
        0.0536096,
        0.0622072,
        0.0749379,
        0.0939487,
        0.135693,
        0.201048,
        0.284679,
        0.168703,
        0.119751,
        0.0906854,
        0.0723826,
        0.0612691,
        0.053451,
        0.0484806,
        0.0445416,
        0.0404441,
        0.0381537,
        0.0362227,
        0.0347944,
        0.0333276,
        0.032166,
        0.031215,
        0.0322061,
        0.0304507,
        0.0292951,
        0.028711,
        0.0281197,
        0.0277622,
        0.0275447,
        0.0273149,
        0.0271956,
        0.027286,
        0.027479,
        0.0277136,
        0.0280839,
        0.0283737,
        0.0322522,
        0.0333147,
        0.034133,
        0.0359389,
        0.0348183,
        0.0412767,
        0.0460792,
        0.0483163,
        0.0563627,
        0.0646827,
        0.072168,
        0.0850424,
        0.0861006,
        0.0753276,
        0.0743068,
        0.0749568,
        0.0733983,
        0.0681874,
        0.0598303,
        0.0516923,
        0.0451874,
        0.0402048,
        0.0365306,
        0.0337298,
        0.0316432,
        0.0301353,
        0.0282334,
        0.0270995,
        0.0262667,
        0.0256458,
        0.0261643,
        0.0258319,
        0.0245012,
        0.0241905,
        0.0240896,
        0.023925,
        0.0237096,
        0.0239425,
        0.0237216,
        0.0237599,
        0.0238789,
        0.0240975,
        0.0262059,
        0.027449,
        0.0257939,
        0.0253137,
        0.0257183,
        0.0264167,
        0.0272014,
        0.0287002,
        0.030216,
        0.0322971,
        0.0340851,
        0.0352986,
        0.0350514,
        0.0334871,
        0.0311599,
        0.0325903,
        0.0303548,
        0.0266307,
        0.0259951,
        0.0254283,
        0.0252345,
        0.0250934,
        0.0251045,
        0.0251778,
        0.0253142,
        0.0263646,
        0.0265317,
        0.0265236,
        0.0304689,
        0.031235,
        0.0288416,
        0.029546,
        0.0299955,
        0.0302636,
        0.0322503,
        0.0331922,
        0.032494,
        0.033494,
        0.0403082,
        0.0427994,
        0.0444033,
        0.0468228,
        0.0512262,
        0.059561,
        0.0721252,
        0.0919419,
        0.123167,
        0.177097,
        0.204027,
        0.139409,
        0.102773,
        0.0797295,
        0.0656448,
        0.0567319,
        0.0501043,
        0.0449749,
        0.0411679,
        0.0384005,
        0.0371099,
        0.0347837,
        0.0335552,
        0.0327564,
        0.0321683,
        0.031718,
        0.0314396,
        0.0315605,
        0.0315599,
        0.0315772,
        0.0319986,
        0.0323989,
        0.0332132,
        0.0343067,
        0.03615,
        0.0385751,
        0.0416532,
        0.0461096,
        0.0522477,
        0.0599816,
        0.068541,
        0.0742932,
        0.0761151,
        0.0751223,
        0.0748084,
        0.0753226,
        0.0808556,
        0.0836976,
        0.0692471,
        0.0618475,
        0.0547707,
        0.0486214,
        0.044368,
        0.041705,
        0.0400429,
        0.0396698,
        0.0400602,
        0.0409517,
        0.0425909,
        0.043698,
        0.0444749,
        0.0464752,
        0.0488274,
        0.0538704,
        0.0618368,
        0.0818131,
        0.103441,
        0.128262,
        0.193396,
        0.196802,
        0.130222,
        0.0937126,
        0.0730718,
        0.0597735,
        0.0515347,
        0.045333,
        0.0411192,
        0.0380244,
        0.0386719,
        0.0373526,
        0.0327307,
        0.0317881,
        0.0312602,
        0.0305197,
        0.0299374,
        0.0297687,
        0.0301986,
        0.0296865,
        0.0297452,
        0.0293089,
        0.0290451,
        0.0285619,
        0.028089,
        0.0275879,
        0.0272854,
        0.0269577,
        0.0267206,
        0.0262947,
        0.0260161,
        0.0258085,
        0.0288404,
        0.0284982,
        0.0254741,
        0.0251486,
        0.0252101,
        0.0253439,
        0.0255171,
        0.025691,
        0.0260427,
        0.0263604,
        0.0270398,
        0.027487,
        0.0279711,
        0.028684,
        0.0295476,
        0.0307962,
        0.0321496,
        0.0341878,
        0.0369856,
        0.0397132,
        0.0440238,
        0.0496578,
        0.0580553,
        0.070548,
        0.0898345,
        0.117062,
        0.16429,
        0.239369,
        0.15203,
        0.112348,
        0.0896437,
        0.0741591,
        0.0724019,
        0.0644087,
        0.0508618,
        0.0472544,
        0.0456877,
        0.0455054,
        0.0499066,
        0.0483199,
        0.0465633,
        0.0463608,
        0.0463296,
        0.0474287,
        0.0496149,
        0.0523338,
        0.061582,
        0.0689598,
        0.0660929,
        0.0690083,
        0.0686653,
        0.0673258,
        0.0665728,
        0.0664027,
        0.0667847,
        0.0655176,
        0.0626122,
        0.0572663,
        0.0490025,
        0.0429837,
        0.0406918,
        0.0375496,
        0.0334348,
        0.0315491,
        0.0302833,
        0.0293219,
        0.0287024,
        0.028288,
        0.0278755,
        0.027809,
        0.0280573,
        0.0284202,
        0.029062,
        0.0294278,
        0.0294484,
        0.0288229,
        0.0278524,
        0.0267573,
        0.0261804,
        0.0256091,
        0.0253135,
        0.025223,
        0.0253185,
        0.0253496,
        0.0279936,
        0.0270606,
        0.0255998,
        0.0256289,
        0.0258182,
        0.0262359,
        0.0286702,
        0.0290463,
        0.0270941,
        0.0269194,
        0.027217,
        0.0265012,
        0.025881,
        0.0255301,
        0.0253818,
        0.0252492,
        0.024811,
        0.024422,
        0.0241949,
        0.0240737,
        0.0246833,
        0.0263113,
        0.0253479,
        0.0238978,
        0.0241446,
        0.0239126,
        0.0238986,
        0.0247545,
        0.0246989,
        0.0236256,
        0.0237753,
        0.0236824,
        0.0236748,
        0.0237482,
        0.0238476,
        0.0239357,
        0.0241015,
        0.0241858,
        0.0245597,
        0.0248548,
        0.0250199,
        0.0253389,
        0.0268881,
        0.0266562,
        0.027001,
        0.0286361,
        0.0292426,
        0.0297328,
        0.0302838,
        0.0304535,
        0.0302392,
        0.0299744,
        0.0297633,
        0.0313987,
        0.0306384,
        0.0308861,
        0.0318027,
        0.0332287,
        0.0348252,
        0.0366766,
        0.0393957,
        0.0422778,
        0.0460451,
        0.051372,
        0.0585773,
        0.0689462,
        0.0868712,
        0.110983,
        0.144119,
        0.195687,
        0.156751,
        0.124718,
        0.101311,
        0.0840102,
        0.0759847,
        0.0725006,
        0.0713733,
        0.0730041,
        0.0781738,
        0.0852221,
        0.0927022,
        0.0985124,
        0.102871,
        0.1064,
        0.112715,
        0.121557,
        0.134764,
        0.148779,
        0.160681,
        0.162335,
        0.154793,
        0.138041,
        0.119762,
        0.102444,
        0.0885169,
        0.0769446,
        0.0688655,
        0.0617072,
        0.0551039,
        0.0493141,
        0.0447744,
        0.0411575,
        0.0385084,
        0.0364827,
        0.0348731,
        0.0345996,
        0.0336514,
        0.0317232,
        0.0313931,
        0.0308869,
        0.0311172,
        0.0311824,
        0.0314619,
        0.0320326,
        0.0321558,
        0.0328327,
        0.0322218,
        0.030536,
        0.0295422,
        0.0288237,
        0.0283173,
        0.0276318,
        0.0278991,
        0.0279206,
        0.0270591,
        0.0268374,
        0.0267386,
        0.0265453,
        0.0290622,
        0.0290509,
        0.0266787,
        0.0269199,
        0.0271251,
        0.0273333,
        0.028003,
        0.0287697,
        0.0294477,
        0.0299929,
        0.0300445,
        0.029306,
        0.0287019,
        0.0280095,
        0.0274367,
        0.0270091,
        0.0265287,
        0.0263851,
        0.026187,
        0.0259348,
        0.0259707,
        0.0257507,
        0.0258845,
        0.0259151,
        0.0257182,
        0.0258914,
        0.0260276,
        0.0259983,
        0.0261045,
        0.0258668,
        0.0259617,
        0.0259772,
        0.0260538,
        0.0258903,
        0.0258989,
        0.0261418,
        0.0261475,
        0.026224,
        0.0262563,
        0.0276817,
        0.0278554,
        0.0273282,
        0.0277536,
        0.0279702,
        0.0280002,
        0.0281827,
        0.0282686,
        0.0279689,
        0.0281231,
        0.0280985,
        0.02808,
        0.0288029,
        0.0290176,
        0.0294398,
        0.0300138,
        0.0307649,
        0.0313281,
        0.0324532,
        0.0336189,
        0.035293,
        0.0371185,
        0.0393563,
        0.0421075,
        0.0463244,
        0.0516346,
        0.0593158,
        0.0696856,
        0.085517,
        0.110828,
        0.148892,
        0.190155,
        0.16167,
        0.129018,
        0.109538,
        0.0993389,
        0.0950129,
        0.0926349,
        0.0895454,
        0.0822528,
        0.0721417,
        0.061629,
        0.0540306,
        0.0485518,
        0.0443466,
        0.0411721,
        0.03915,
        0.0375711,
        0.0361715,
        0.0352061,
        0.0346019,
        0.0341519,
        0.0342715,
        0.0338036,
        0.0333647,
        0.0331639,
        0.032798,
        0.0323637,
        0.0323676,
        0.0314937,
        0.0310235,
        0.0308596,
        0.0310385,
        0.0349939,
        0.0339143,
        0.0291963,
        0.0287732,
        0.0288433,
        0.0285635,
        0.0283817,
        0.0284193,
        0.028489,
        0.0285584,
        0.0283751,
        0.0286199,
        0.0288216,
        0.0293552,
        0.0295078,
        0.0298345,
        0.0298868,
        0.0301225,
        0.030223,
        0.0307737,
        0.0315949,
        0.0322701,
        0.0327984,
        0.0337584,
        0.0346849,
        0.0360254,
        0.0377901,
        0.0393063,
        0.0415359,
        0.0451384,
        0.0487929,
        0.0539664,
        0.061305,
        0.0711896,
        0.0878813,
        0.112129,
        0.153182,
        0.199699,
        0.141543,
        0.104458,
        0.0825434,
        0.0702313,
        0.0606805,
        0.0529663,
        0.0480959,
        0.0444932,
        0.0412794,
        0.039244,
        0.0378491,
        0.0362106,
        0.0344178,
        0.0335182,
        0.0326407,
        0.0321298,
        0.031568,
        0.0310986,
        0.0306316,
        0.0306974,
        0.0307,
        0.0309357,
        0.0308458,
        0.0309351,
        0.0310492,
        0.0310263,
        0.0313611,
        0.0315577,
        0.0326647,
        0.0331626,
        0.0327427,
        0.0333629,
        0.0342766,
        0.0351495,
        0.0353109,
        0.0364045,
        0.0380759,
        0.041338,
        0.0449799,
        0.0458754,
        0.049628,
        0.0538223,
        0.0602135,
        0.0684513,
        0.0775191,
        0.0881081,
        0.0988954,
        0.106046,
        0.11613,
        0.133027,
        0.155912,
        0.189896,
        0.236846,
        0.263741,
        0.216967,
        0.16765,
        0.129129,
        0.101076,
        0.0823835,
        0.0688259,
        0.0598105,
        0.0534414,
        0.0482369,
        0.0441794,
        0.0414361,
        0.0390577,
        0.036996,
        0.035658,
        0.0348137,
        0.0333963,
        0.0324151,
        0.0316332,
        0.0309413,
        0.0306306,
        0.0304023,
        0.029962,
        0.0300075,
        0.0292643,
        0.0291319,
        0.0291637,
        0.0302373,
        0.0303819,
        0.0287195,
        0.028871,
        0.0288745,
        0.0286855,
        0.0286975,
        0.028836,
        0.0285304,
        0.028652,
        0.0287747,
        0.0291601,
        0.0296266,
        0.029914,
        0.0302676,
        0.0307155,
        0.0309759,
        0.0309692,
        0.0310906,
        0.0312011,
        0.0313244,
        0.0310958,
        0.0306193,
        0.0304526,
        0.0306663,
        0.0326834,
        0.0303789,
        0.0333254,
        0.0343451,
        0.0290318,
        0.0293993,
        0.0298435,
        0.029089,
        0.029197,
        0.029385,
        0.0294473,
        0.0296267,
        0.0298529,
        0.0292433,
        0.0289568,
        0.0288867,
        0.0285921,
        0.0280618,
        0.027908,
        0.0278809,
        0.0275153,
        0.027415,
        0.02714,
        0.0271752,
        0.026857,
        0.0270509,
        0.0267855,
        0.0266895,
        0.026812,
        0.0270162,
        0.0270663,
        0.0270441,
        0.0271622,
        0.0272824,
        0.0272333,
        0.0273698,
        0.0274735,
        0.0276801,
        0.0277553,
        0.0280616,
        0.0283835,
        0.0291739,
        0.0332702,
        0.0343922,
        0.0294989,
        0.0295741,
        0.0292839,
        0.0296371,
        0.0305034,
        0.0308563,
        0.0314189,
        0.032653,
        0.0335964,
        0.0348897,
        0.0365609,
        0.0377411,
        0.0385022,
        0.0388933,
        0.0394032,
        0.0400952,
        0.0412047,
        0.0439088,
        0.0475974,
        0.0512444,
        0.0562068,
        0.0599296,
        0.0634592,
        0.0647217,
        0.0637246,
        0.0627329,
        0.0622109,
        0.0634991,
        0.0652164,
        0.0674115,
        0.0697999,
        0.0703878,
        0.0683289,
        0.0678281,
        0.0697699,
        0.0734612,
        0.0803942,
        0.0928278,
        0.108796,
        0.128952,
        0.141544,
        0.142333,
        0.123897,
        0.0992718,
        0.0802066,
        0.0668656,
        0.0571488,
        0.0505467,
        0.0456964,
        0.0424818,
        0.0410681,
        0.0390039,
        0.0364887,
        0.0349328,
        0.0343789,
        0.0333654,
        0.0324158,
        0.032166,
        0.0316694,
        0.0311235,
        0.0309607,
        0.0310418,
        0.0305235,
        0.0304813,
        0.0304921,
        0.0307562,
        0.0310333,
        0.0311269,
        0.031473,
        0.0314937,
        0.0309977,
        0.030059,
        0.0310011,
        0.031708,
        0.029804,
        0.0297601,
        0.0300046,
        0.0300571,
        0.0301206,
        0.0300654,
        0.0334499,
        0.035405,
        0.0307944,
        0.0308053,
        0.0309139,
        0.0307431,
        0.0306152,
        0.0302049,
        0.0300724,
        0.030181,
        0.0301284,
        0.0296859,
        0.0296146,
        0.0295042,
        0.0297611,
        0.0297192,
        0.0292915,
        0.0293573,
        0.0292275,
        0.0293038,
        0.0290637,
        0.02934,
        0.0290281,
        0.0289566,
        0.0288036,
        0.0289021,
        0.0286484,
        0.0289523,
        0.0289131,
        0.0288208,
        0.0286673,
        0.0287325,
        0.0287928,
        0.0286178,
        0.0285434,
        0.0287894,
        0.0291235,
        0.0288652,
        0.029192,
        0.029562,
        0.029305,
        0.0296982,
        0.0301783,
        0.0303882,
        0.0308044,
        0.0315708,
        0.0326023,
        0.033871,
        0.0343651,
        0.0349473,
        0.0355585,
        0.0353074,
        0.0351744,
        0.0349561,
        0.0351768,
        0.035473,
        0.035748,
        0.0362055,
        0.0368153,
        0.0379795,
        0.0388071,
        0.039504,
        0.0397018,
        0.0409311,
        0.0419504,
        0.0433019,
        0.0457195,
        0.048033,
        0.0507393,
        0.0538134,
        0.0566291,
        0.0584108,
        0.0569356,
        0.0548179,
        0.0540273,
        0.0540969,
        0.0554281,
        0.0567824,
        0.0571812,
        0.056971,
        0.0553244,
        0.0528539,
        0.0501176,
        0.0469695,
        0.0447488,
        0.0433383,
        0.0424983,
        0.0422921,
        0.0422303,
        0.0428798,
        0.0441766,
        0.0456257,
        0.0481059,
        0.0517039,
        0.0556628,
        0.0624524,
        0.0719809,
        0.0852983,
        0.102132,
        0.10987,
        0.113961,
        0.106943,
        0.092727,
        0.0803938,
        0.0692968,
        0.0607669,
        0.0544308,
        0.049316,
        0.0465038,
        0.0436365,
        0.0450305,
        0.0463226,
        0.0420977,
        0.0377819,
        0.037563,
        0.0369337,
        0.0370004,
        0.0368681,
        0.0369182,
        0.0370754,
        0.038009,
        0.0379458,
        0.0369677,
        0.0368024,
        0.0364492,
        0.0361134,
        0.0357782,
        0.0356671,
        0.0357553,
        0.0352861,
        0.035429,
        0.0353829,
        0.0360922,
        0.0358923,
        0.035394,
        0.0354821,
        0.0362566,
        0.0360511,
        0.0353678,
        0.0352639,
        0.035234,
        0.0354194,
        0.0354193,
        0.0354826,
        0.0353538,
        0.0356859,
        0.0354668,
        0.0357694,
        0.0357344,
        0.0357212,
        0.0360353,
        0.0365441,
        0.0366284,
        0.036545,
        0.0368237,
        0.0370668,
        0.0372242,
        0.0377128,
        0.03824,
        0.038905,
        0.0386546,
        0.0396245,
        0.0406067,
        0.0412812,
        0.0427696,
        0.0439458,
        null,
        0.0297311,
        0.0304792,
        0.0316159,
        0.0332889,
        0.0351246,
        0.0369443,
        0.0390503,
        0.0411393,
        0.0431866,
        0.0447299,
        0.0451325,
        0.0447277,
        0.0444039,
        0.0444296,
        0.0447911,
        0.045319,
        0.0462835,
        0.0453496,
        0.0425463,
        0.039973,
        0.0384884,
        0.0372822,
        0.033075,
        0.0317845,
        0.0308677,
        0.0302158,
        0.0296886,
        0.0291802,
        0.0287532,
        0.0283874,
        0.0279722,
        0.0277093,
        0.0276179,
        0.0276976,
        0.028257,
        0.0285436,
        0.0282055,
        0.028219,
        0.0292458,
        0.0289126,
        0.029434,
        0.0284793,
        0.0292047,
        0.029489,
        0.0300024,
        0.0307888,
        0.0324746,
        0.0348164,
        0.0403006,
        0.044658,
        0.0471889,
        0.0536867,
        0.0589741,
        0.060619,
        0.0598252,
        0.0535389,
        0.045414,
        0.040418,
        0.0368126,
        0.0341725,
        0.0322414,
        0.0309965,
        0.0302095,
        0.0294409,
        0.0287717,
        0.0283619,
        0.0279955,
        0.0277499,
        0.0276264,
        0.0274488,
        0.0286514,
        0.0286346,
        0.0270638,
        0.0272681,
        0.0274212,
        0.0275713,
        0.0279069,
        0.0285042,
        0.0290693,
        0.0296194,
        0.0297167,
        0.0294833,
        0.0292241,
        0.0289395,
        0.0285658,
        0.0282077,
        0.0275476,
        0.0280178,
        0.0289851,
        0.0287679,
        0.0260845,
        0.0263226,
        0.0266305,
        0.0270559,
        0.0272449,
        0.0267647,
        0.0261625,
        0.0255705,
        0.0258146,
        0.0253598,
        0.0247885,
        0.0246628,
        0.0244134,
        0.0242842,
        0.0243664,
        0.0245173,
        0.024455,
        0.0245929,
        0.0246973,
        0.0248828,
        0.0252687,
        0.0256187,
        0.0258891,
        0.0263827,
        0.0268412,
        0.0274236,
        0.0283091,
        0.0294888,
        0.0310255,
        0.0327313,
        0.0345392,
        0.0356447,
        0.0358514,
        0.0354456,
        0.0345257,
        0.0344083,
        0.0345555,
        0.0349602,
        0.0353833,
        0.0355418,
        0.0350084,
        0.0350539,
        0.0336384,
        0.0308618,
        0.0296275,
        0.0285014,
        0.0277799,
        0.0271215,
        0.0267098,
        0.0260954,
        0.02567,
        0.0252434,
        0.0248632,
        0.0245121,
        0.0242442,
        0.024099,
        0.0239509,
        0.0238184,
        0.0237947,
        0.0237714,
        0.0237387,
        0.0238085,
        0.0237569,
        0.0238493,
        0.0238368,
        0.0237219,
        0.0237279,
        0.0238559,
        0.0239934,
        0.0241018,
        0.0242901,
        0.0246158,
        0.0250594,
        0.0253755,
        0.0258681,
        0.0264842,
        0.0275688,
        0.0284436,
        0.0293276,
        0.0314685,
        0.0338961,
        0.0421391,
        0.0468621,
        0.0457812,
        0.0500407,
        0.0518133,
        0.049971,
        0.0459387,
        0.0419902,
        0.0387205,
        0.0365264,
        0.0353668,
        0.0350418,
        0.0351594,
        0.0353814,
        0.0351371,
        0.0342092,
        0.0326205,
        0.0332893,
        0.0320023,
        0.0285157,
        0.0273834,
        0.0265668,
        0.0258769,
        0.0255591,
        0.0251124,
        0.0244716,
        0.0241336,
        0.0239711,
        0.0238871,
        0.0237706,
        0.0234941,
        0.0233065,
        0.0232758,
        0.0232402,
        0.0232587,
        0.0232081,
        0.0231287,
        0.0230747,
        0.0231617,
        0.0232106,
        0.0232096,
        0.0232534,
        0.0232987,
        0.0234016,
        0.0236604,
        0.0238242,
        0.0239511,
        0.0243085,
        0.0276402,
        0.0278554,
        0.0248746,
        0.02517,
        0.0255616,
        0.0261067,
        0.0266043,
        0.0271643,
        0.0279205,
        0.0288554,
        0.0298567,
        0.0308583,
        0.0321174,
        0.0338298,
        0.0358908,
        0.0378235,
        0.0396418,
        0.0411092,
        0.0420006,
        0.04291,
        0.0443974,
        0.0472544,
        0.0514168,
        0.0565318,
        0.0639108,
        0.07361,
        0.0865848,
        0.105684,
        0.139631,
        0.206468,
        0.19952,
        0.129422,
        0.0930119,
        0.07227,
        0.0593718,
        0.0510417,
        0.045059,
        0.0408277,
        0.0378319,
        0.0355141,
        0.0336342,
        0.0320536,
        0.0309137,
        0.030068,
        0.0296136,
        0.0293096,
        0.0291983,
        0.0293404,
        0.0296757,
        0.0302693,
        0.0306826,
        0.0307679,
        0.0305483,
        0.0300367,
        0.0294381,
        0.0298825,
        0.0297564,
        0.0288953,
        0.0282303,
        0.028136,
        0.028239,
        0.0286341,
        0.0291742,
        0.0300772,
        0.031447,
        0.0327727,
        0.0342717,
        0.0357004,
        0.0369406,
        0.0386359,
        0.0409173,
        0.0440191,
        0.0467544,
        0.0480388,
        0.0470571,
        0.0433226,
        0.0390722,
        0.035428,
        0.0326633,
        0.0303168,
        0.0284472,
        0.0271936,
        0.026243,
        0.0253885,
        0.0247507,
        0.0242994,
        0.0239022,
        0.0234321,
        0.0230561,
        0.0228955,
        0.0226937,
        0.0224118,
        0.0222107,
        0.022092,
        0.0219607,
        0.0218231,
        0.021642,
        0.0239498,
        0.0239457,
        0.0214265,
        0.0213541,
        0.0213793,
        0.0214741,
        0.0215301,
        0.0215243,
        0.0216076,
        0.021782,
        0.0221685,
        0.0223844,
        0.0224211,
        0.0222242,
        0.0222671,
        0.0223612,
        0.0223231,
        0.0224173,
        0.0226688,
        0.022827,
        0.0231459,
        0.0235917,
        0.0240515,
        0.024764,
        0.0256595,
        0.0269626,
        0.0282846,
        0.0293318,
        0.0300223,
        0.0302488,
        0.0298022,
        0.0291461,
        0.0284056,
        0.0299498,
        0.0303265,
        0.0288846,
        0.0294352,
        0.0295003,
        0.029191,
        0.0283929,
        0.0275856,
        0.0269141,
        0.0262596,
        0.0261355,
        0.0262862,
        0.0288043,
        0.029524,
        0.0269285,
        0.02624,
        0.0252648,
        0.0249698,
        0.0241024,
        0.0231414,
        0.0225234,
        0.0224685,
        0.0222502,
        0.0218507,
        0.0217164,
        0.0216551,
        0.0216603,
        0.0219646,
        0.0238389,
        0.0233676,
        0.0221312,
        0.0222791,
        0.0225613,
        0.0228491,
        0.0232131,
        0.023404,
        0.0236948,
        0.0241997,
        0.0247542,
        0.0257328,
        0.0293528,
        0.0298295,
        0.0285058,
        0.0302052,
        0.0312659,
        0.0324148,
        0.0337152,
        0.0349981,
        0.0365663,
        0.0389282,
        0.0420884,
        0.0464006,
        0.0515729,
        0.0579792,
        0.064437,
        0.0693741,
        0.07048,
        0.0685121,
        0.0637485,
        0.0575723,
        0.0516566,
        0.0522483,
        0.0472354,
        0.0395768,
        0.0380726,
        0.0373226,
        0.0375192,
        0.0384949,
        0.0397768,
        0.0405375,
        0.0397076,
        0.0373759,
        0.0343837,
        0.0316534,
        0.0293533,
        0.027431,
        0.0260256,
        0.0278006,
        0.0280687,
        0.0273162,
        0.0231014,
        0.0229049,
        0.0227713,
        0.0223841,
        0.0219821,
        0.0219126,
        0.0218601,
        0.0219101,
        0.0218665,
        0.0217146,
        0.0216949,
        0.0217186,
        0.0218485,
        0.0217465,
        0.0217179,
        0.0218836,
        0.0220504,
        0.0222489,
        0.0226921,
        0.0229951,
        0.0231687,
        0.0235703,
        0.0240131,
        0.0244677,
        0.0250611,
        0.0257706,
        0.026497,
        0.0275954,
        0.0288029,
        0.0318425,
        0.0312772,
        0.0295236,
        0.0292039,
        0.0288999,
        0.0284128,
        0.0274878,
        0.0267367,
        0.026177,
        0.0258458,
        0.0258083,
        0.0260125,
        0.0262481,
        0.0263483,
        0.0261204,
        0.0255369,
        0.0247788,
        0.0253787,
        0.0244835,
        0.0235754,
        0.0221888,
        0.0213089,
        0.0210641,
        0.0208008,
        0.0204495,
        0.0202607,
        0.0206409,
        0.0216647,
        0.0208251,
        0.0200423,
        0.0200102,
        0.019941,
        0.0199367,
        0.0199037,
        0.0199496,
        0.0199106,
        0.0199025,
        0.020042,
        0.0200618,
        0.0202655,
        0.0205106,
        0.0208067,
        0.0222933,
        0.0229541,
        0.0218735,
        0.0221265,
        0.0250228,
        0.0248753,
        0.0218845,
        0.0215562,
        0.0215981,
        0.0211498,
        0.0207509,
        0.0205667,
        0.0204228,
        0.0202487,
        0.0200734,
        0.0200744,
        0.0201541,
        0.0200962,
        0.0198826,
        0.0197883,
        0.0198614,
        0.0198426,
        0.0196891,
        0.0197906,
        0.0197991,
        0.0197558,
        0.0197592,
        0.019749,
        0.0196276,
        0.0196476,
        0.0197001,
        0.01977,
        0.0197798,
        0.0198575,
        0.0199828,
        0.0200794,
        0.0207616,
        0.0212922,
        0.0208632,
        0.0212089,
        0.0217557,
        0.0224816,
        0.023476,
        0.0253333,
        0.0273637,
        0.0286391,
        0.0301543,
        0.0313754,
        0.0314663,
        0.0310671,
        0.0301273,
        0.029277,
        0.0288089,
        0.0285615,
        0.0282154,
        0.0272406,
        0.0259989,
        0.0248075,
        0.0240828,
        0.0240556,
        0.0239002,
        0.0227593,
        0.0228087,
        0.0229692,
        0.0221408,
        0.0219583,
        0.0220548,
        0.0217641,
        0.0215195,
        0.0214853,
        0.021646,
        0.0217474,
        0.0218509,
        0.0219922,
        0.0236281,
        0.0237461,
        0.0239511,
        0.0240571,
        0.0244484,
        0.0235985,
        0.0242055,
        0.0249542,
        0.0253706,
        0.025544,
        0.0255184,
        0.0254771,
        0.0248149,
        0.024374,
        0.0243096,
        0.0245889,
        0.0249333,
        0.0252155,
        0.0254959,
        0.0292062,
        0.0282138,
        0.0246594,
        0.0245265,
        0.0233602,
        0.0229853,
        0.022669,
        0.0225952,
        0.0226075,
        0.022722,
        0.022979,
        0.0236053,
        0.0240765,
        0.023974,
        0.0252817,
        0.0265492,
        0.0264888,
        0.0265576,
        0.02771,
        0.0290151,
        0.0304614,
        0.0319847,
        0.0339309,
        0.0362797,
        0.0390419,
        0.0426838,
        0.0481207,
        0.0630855,
        0.0755063,
        0.0847016,
        0.115116,
        0.169119,
        0.213284,
        0.140648,
        0.0999484,
        0.0778332,
        0.0623697,
        0.0526666,
        0.0457037,
        0.0428016,
        0.0388633,
        0.0340895,
        0.0320501,
        0.0304725,
        0.0295931,
        0.0288654,
        0.0281262,
        0.0278701,
        0.0277167,
        0.0277387,
        0.0282594,
        0.0287504,
        0.0287805,
        0.0283003,
        0.0274457,
        0.0262448,
        0.0252112,
        0.0245832,
        0.0239594,
        0.0235371,
        0.0232348,
        0.0226628,
        0.0222123,
        0.0220133,
        0.021748,
        0.0215597,
        0.021629,
        0.0215525,
        0.0216295,
        0.0216998,
        0.0220489,
        0.0224075,
        0.0229117,
        0.0237256,
        0.026793,
        0.0271567,
        0.0269564,
        0.0279628,
        0.0285541,
        0.0283988,
        0.0275304,
        0.0263633,
        0.0251436,
        0.0252293,
        0.0236166,
        0.0222365,
        0.0217756,
        0.0214847,
        0.0214962,
        0.0212402,
        0.0209323,
        0.0209257,
        0.0208745,
        0.0207856,
        0.0207616,
        0.020749,
        0.0208145,
        0.020951,
        0.0208821,
        0.0210908,
        0.0214736,
        0.0220277,
        0.0224392,
        0.0228392,
        0.0231687,
        0.0256379,
        0.025939,
        0.0230656,
        0.0225425,
        0.0222949,
        0.0221211,
        0.0222632,
        0.0232024,
        0.023435,
        0.0229402,
        0.026685,
        0.026227,
        0.022252,
        0.0217361,
        0.0212044,
        0.0207874,
        0.0205287,
        0.0204099,
        0.0206316,
        0.0207229,
        0.0209768,
        0.0233817,
        0.0225614,
        0.0210836,
        0.0236338,
        0.0235758,
        0.0212004,
        0.0211218,
        0.0210105,
        0.0207566,
        0.0204539,
        0.0203122,
        0.0215253,
        0.0215449,
        0.0201981,
        0.0201145,
        0.0206987,
        0.0207564,
        0.0201971,
        0.0212811,
        0.0213439,
        0.0212412,
        0.0218718,
        0.0225217,
        0.0241127,
        0.0249505,
        0.0249052,
        0.0257646,
        0.0252421,
        0.0241858,
        0.0231967,
        0.02236,
        0.0216344,
        0.0212273,
        0.0209543,
        0.0206776,
        0.020462,
        0.0202098,
        0.021742,
        0.0213968,
        0.0196873,
        0.019729,
        0.0208233,
        0.0204712,
        0.0194094,
        0.019359,
        0.0193862,
        0.0202151,
        0.019809,
        0.019452,
        0.0193624,
        0.0206223,
        0.0199273,
        0.0190575,
        0.0189746,
        0.0189753,
        0.0190611,
        0.0191172,
        0.019265,
        0.0192096,
        0.0193868,
        0.01958,
        0.0196333,
        0.0197831,
        0.0210611,
        0.0235246,
        0.021721,
        0.0197812,
        0.0195221,
        0.019356,
        0.0195953,
        0.0194267,
        0.019526,
        0.0196141,
        0.0195831,
        0.0197446,
        0.0199783,
        0.0202285,
        0.0204144,
        0.0206949,
        0.0211181,
        0.0216344,
        0.0223673,
        0.0232814,
        0.0243006,
        0.0252162,
        0.0257753,
        0.0258544,
        0.0256745,
        0.0248078,
        0.0237625,
        0.022925,
        0.0223644,
        0.0219314,
        0.0220671,
        0.0221339,
        0.021362,
        0.0213439,
        0.0215101,
        0.0217922,
        0.0224459,
        0.0242251,
        0.0243005,
        0.0242064,
        0.0251168,
        0.0258906,
        0.0266382,
        0.027478,
        0.0288651,
        0.0287316,
        0.0266932,
        0.0259588,
        0.0253615,
        0.0249895,
        0.0258668,
        0.0260497,
        0.0241229,
        0.0237194,
        0.0232842,
        0.0229493,
        0.0226976,
        0.0226131,
        0.022617,
        0.0229429,
        0.0236161,
        0.023962,
        0.0250843,
        0.0278362,
        0.027364,
        0.0250512,
        0.0271368,
        0.0263033,
        0.0226262,
        0.0218933,
        0.0214997,
        0.0210926,
        0.0207772,
        0.0205107,
        0.0204643,
        0.0237164,
        0.0235647,
        0.0200397,
        0.0199056,
        0.0199263,
        0.0199526,
        0.0199327,
        0.0198978,
        0.0199641,
        0.0212382,
        0.0209717,
        0.0195858,
        0.0196007,
        0.0195252,
        0.0195376,
        0.0194719,
        0.0193425,
        0.0193601,
        0.0193458,
        0.0193759,
        0.0194815,
        0.0194252,
        0.0197897,
        0.020072,
        0.0191386,
        0.0192368,
        0.0194046,
        0.01928,
        0.0191908,
        0.0192289,
        0.0190459,
        0.0194367,
        0.0194532,
        0.0188884,
        0.0188247,
        0.0189244,
        0.0189483,
        0.0190485,
        0.0189661,
        0.0191683,
        0.0195396,
        0.021611,
        0.0233139,
        0.0209518,
        0.0191532,
        0.0191732,
        0.0192299,
        0.0192577,
        0.0200927,
        0.0218725,
        0.0202384,
        0.0191584,
        0.0192261,
        0.0192846,
        0.0192085,
        0.0192901,
        0.0193696,
        0.0194243,
        0.0195075,
        0.019599,
        0.0200227,
        0.0198283,
        0.0203368,
        0.0201588,
        0.0198683,
        0.0200138,
        0.0200377,
        0.0200088,
        0.0201545,
        0.0202948,
        0.0202599,
        0.0222415,
        0.0223008,
        0.0208198,
        0.0209494,
        0.0213706,
        0.0216708,
        0.0220778,
        0.0224776,
        0.023358,
        0.0242993,
        0.0248539,
        0.0258133,
        0.0267462,
        0.0266934,
        0.0262587,
        0.0263236,
        0.0269243,
        0.0276615,
        0.0277782,
        0.0288669,
        0.0298732,
        0.0303915,
        0.0299301,
        0.0286393,
        0.0272806,
        0.0258376,
        0.0250552,
        0.0244872,
        0.0243607,
        0.0244067,
        0.025313,
        0.0252327,
        0.0254258,
        0.0248796,
        0.0235769,
        0.023545,
        0.022763,
        0.0221188,
        0.0218351,
        0.021557,
        0.0213519,
        0.0211792,
        0.0210199,
        0.0209673,
        0.0209018,
        0.0224596,
        0.0228209,
        0.0213865,
        0.0213623,
        0.0209608,
        0.021242,
        0.0211659,
        0.0209299,
        0.0232991,
        0.0253747,
        0.0225532,
        0.0212209,
        0.0212618,
        0.021257,
        0.0214493,
        0.0218161,
        0.0217944,
        0.0217093,
        0.0217807,
        0.0220667,
        0.0222993,
        0.0225455,
        0.0227705,
        0.024843,
        0.0250774,
        0.0235782,
        0.0238947,
        0.0240929,
        0.0245428,
        0.0249484,
        0.0254765,
        0.0261167,
        0.0284841,
        0.0322193,
        0.0334275,
        0.0304001,
        0.0323027,
        0.0347277,
        0.0389604,
        0.0424839,
        0.0485012,
        0.0574895,
        0.0704294,
        0.0918671,
        0.129164,
        0.196267,
        0.138234,
        0.0995798,
        0.0768039,
        0.0626207,
        0.0574039,
        0.0485214,
        0.0410339,
        0.0375207,
        0.0348077,
        0.0328725,
        0.0312374,
        0.0299292,
        0.0314488,
        0.0321154,
        0.0271811,
        0.0262541,
        0.0285508,
        0.0271064,
        0.0264014,
        0.0255068,
        0.0251381,
        0.0255641,
        0.025877,
        0.0266853,
        0.0275398,
        0.0285972,
        0.0296125,
        0.0295793,
        0.0291283,
        0.0277697,
        0.0265429,
        0.0258606,
        0.0250094,
        0.024441,
        0.024114,
        0.0238703,
        0.023527,
        0.0234192,
        0.0236648,
        0.023891,
        0.0242675,
        0.0237813,
        0.0236267,
        0.0238064,
        0.0239459,
        0.0242078,
        0.0244636,
        0.0250718,
        0.0258883,
        0.0263996,
        0.0267857,
        0.0267355,
        0.0264296,
        0.0258097,
        0.0249605,
        0.0240763,
        0.0235707,
        0.023261,
        0.023046,
        0.0229078,
        0.0228593,
        0.0228262,
        0.0248463,
        0.0243091,
        0.0219555,
        0.0215787,
        0.0212868,
        0.0209534,
        0.0208423,
        0.0220329,
        0.0222807,
        0.0207265,
        0.0206583,
        0.0206237,
        0.0203997,
        0.0203365,
        0.0202992,
        0.0202601,
        0.0204904,
        0.0207759,
        0.0204445,
        0.0201753,
        0.0210834,
        0.0204951,
        0.0199288,
        0.0199728,
        0.0199578,
        0.0198038,
        0.0199533,
        0.0201496,
        0.019736,
        0.0197702,
        0.0196951,
        0.0196727,
        0.0197287,
        0.0197571,
        0.0218086,
        0.0215653,
        0.0196228,
        0.0194981,
        0.0196252,
        0.0199831,
        0.020199,
        0.0199313,
        0.0201064,
        0.0200464,
        0.0198245,
        0.0200376,
        0.0213602,
        0.0203286,
        0.0197365,
        0.0211798,
        0.0213833,
        0.0195164,
        0.0194445,
        0.0194083,
        0.0195465,
        0.019671,
        0.0195802,
        0.0195955,
        0.0195982,
        0.0198796,
        0.0225496,
        0.0226305,
        0.0205971,
        0.0207324,
        0.0209417,
        0.0213999,
        0.0219665,
        0.0226034,
        0.0234174,
        0.0244158,
        0.0253239,
        0.0257057,
        0.0256194,
        0.0251697,
        0.0240701,
        0.0229774,
        0.0223395,
        0.0220812,
        0.0218245,
        0.0212813,
        0.021187,
        0.0210713,
        0.0208708,
        0.0207699,
        0.0207693,
        0.020917,
        0.0205983,
        0.020435,
        0.0205548,
        0.0204761,
        0.020237,
        0.0202358,
        0.0204042,
        0.0204575,
        0.020457,
        0.0204765,
        0.0211543,
        0.0251437,
        0.0239745,
        0.0208494,
        0.0209959,
        0.0210635,
        0.0209783,
        0.0207793,
        0.0208038,
        0.0207732,
        0.0207121,
        0.0222832,
        0.021886,
        0.020624,
        0.0206625,
        0.0207728,
        0.0208893,
        0.0211193,
        0.0214683,
        0.021703,
        0.0220451,
        0.0224448,
        0.024345,
        0.0241828,
        0.0221107,
        0.0221163,
        0.0236694,
        0.0243479,
        0.0226753,
        0.0231184,
        0.023502,
        0.0242395,
        0.0247592,
        0.0253717,
        0.0253441,
        0.0250405,
        0.0244834,
        0.0237019,
        0.0232655,
        0.022823,
        0.0223841,
        0.0220128,
        0.0219672,
        0.0217682,
        0.0216113,
        0.0214457,
        0.0215792,
        0.0215518,
        0.0214537,
        0.0216772,
        0.0216066,
        0.0215355,
        0.0215083,
        0.0216434,
        0.0217553,
        0.0217002,
        0.0215307,
        0.0216636,
        0.0216618,
        0.0225526,
        0.0226536,
        0.0218223,
        0.0217566,
        0.0219798,
        0.0220756,
        0.0247898,
        0.0235858,
        0.0223365,
        0.0224212,
        0.0228825,
        0.0231564,
        0.0247764,
        0.0254493,
        0.0243952,
        0.0252332,
        0.0271708,
        0.0284773,
        0.0288055,
        0.0307697,
        0.0338946,
        0.0379933,
        0.0463775,
        0.0552471,
        0.0647347,
        0.0777729,
        0.0902223,
        0.0967586,
        0.0937005,
        0.0832171,
        0.06976,
        0.0563461,
        0.0471448,
        0.0413263,
        0.0372717,
        0.0330618,
        0.0311556,
        0.0289061,
        0.0272328,
        0.0260117,
        0.0253407,
        0.0246922,
        0.0244216,
        0.0239157,
        0.0236985,
        0.023383,
        0.0232348,
        0.0230873,
        0.0229326,
        0.0228334,
        0.0242807,
        0.0243259,
        0.0229149,
        0.02292,
        0.0235289,
        0.0227322,
        0.0223497,
        0.0221125,
        0.0221606,
        0.0222098,
        0.0223903,
        0.025847,
        0.0258682,
        0.0220301,
        0.0220882,
        0.0221584,
        0.0222993,
        0.0223389,
        0.0224585,
        0.0224903,
        0.0224521,
        0.0223486,
        0.022118,
        0.0222512,
        0.0221212,
        0.022161,
        0.0219967,
        0.0222452,
        0.0224281,
        0.0227103,
        0.0231049,
        0.0236513,
        0.0241591,
        0.025016,
        0.0261437,
        0.0277188,
        0.0296272,
        0.032662,
        0.0361277,
        0.0379608,
        0.0395731,
        0.0398704,
        0.0384738,
        0.0360532,
        0.033564,
        0.0316845,
        0.029867,
        0.0282048,
        0.0272884,
        0.026416,
        0.0258298,
        0.0252514,
        0.0259099,
        0.0260102,
        0.0245562,
        0.0246053,
        0.024873,
        0.0250666,
        0.0253668,
        0.0255226,
        0.0254791,
        0.0249602,
        0.0250233,
        0.0252003,
        0.0252325,
        0.0253358,
        0.0256889,
        0.029049,
        0.0317136,
        0.0263109,
        0.025256,
        0.02494,
        0.024657,
        0.0246124,
        0.0245936,
        0.0255462,
        0.0256883,
        0.0250113,
        0.0254685,
        0.0254306,
        0.025987,
        0.0269708,
        0.0278865,
        0.0288676,
        0.0291774,
        0.0289266,
        0.0296842,
        0.0310137,
        0.0305948,
        0.0275296,
        0.024783,
        0.0241032,
        0.0236471,
        0.0233327,
        0.0233543,
        0.023075,
        0.0228189,
        0.0228573,
        0.0228954,
        0.0229852,
        0.0230096,
        0.0230129,
        0.0232056,
        0.0241973,
        0.0243168,
        0.023245,
        0.0236032,
        0.0237229,
        0.0242106,
        0.0245488,
        0.0245869,
        0.0244366,
        0.0246197,
        0.0248657,
        0.024978,
        0.025267,
        0.0255686,
        0.0257539,
        0.0261322,
        0.026346,
        0.0265734,
        0.0269552,
        0.0274409,
        0.0277915,
        0.0284726,
        0.0288259,
        0.0294046,
        0.0310179,
        0.0319548,
        0.031889,
        0.0324004,
        0.0334376,
        0.0347619,
        0.0366875,
        0.0388546,
        0.0413631,
        0.0446403,
        0.0489824,
        0.0550749,
        0.0664737,
        0.0776909,
        0.0914924,
        0.117017,
        0.161866,
        0.170449,
        0.13969,
        0.109453,
        0.0796731,
        0.0689275,
        0.0622819,
        0.0574269,
        0.0542096,
        0.0527315,
        0.0511803,
        0.0506944,
        0.0517886,
        0.0534133,
        0.0568698,
        0.0610793,
        0.0784318,
        0.0853272,
        0.231166,
        0.15571,
        0.115199,
        0.0914301,
        0.0881965,
        0.0701239,
        0.0569584,
        0.0522401,
        0.0475147,
        0.0453124,
        0.0439588,
        0.0432714,
        0.0430695,
        0.0434776,
        0.0431703,
        0.041913,
        0.0397849,
        0.03705,
        0.0347491,
        0.0329683,
        0.0318453,
        0.0308474,
        0.0300045,
        0.0293885,
        0.0289619,
        0.0288104,
        0.0285757,
        0.0284111,
        0.0283534,
        0.0290856,
        0.0286215,
        0.0281096,
        0.0277882,
        0.0276404,
        0.0268718,
        0.0269267,
        0.0263753,
        0.0258516,
        0.0252774,
        0.0252314,
        0.0248208,
        0.0246567,
        0.024806,
        0.0246106,
        0.0245298,
        0.0246577,
        0.0244529,
        0.0242661,
        0.0244101,
        0.0251981,
        0.025459,
        0.0244164,
        0.0242314,
        0.0242474,
        0.024507,
        0.0243917,
        0.0245959,
        0.0247035,
        0.0248259,
        0.0247391,
        0.0248814,
        0.0247996,
        0.0247479,
        0.0247962,
        0.0247351,
        0.0246538,
        0.0246288,
        0.0243872,
        0.0246629,
        0.0246578,
        0.0245881,
        0.0246243,
        0.0248446,
        0.0250638,
        0.025106,
        0.0249552,
        0.0248237,
        0.0247088,
        0.0248846,
        0.0252424,
        0.0256605,
        0.0249683,
        0.0247041,
        0.0247542,
        0.0247495,
        0.0248021,
        0.0247397,
        0.0246555,
        0.0246343,
        0.0248487,
        0.0246791,
        0.0246987,
        0.024588,
        0.0244195,
        0.0242857,
        0.0243153,
        0.0247961,
        0.0246319,
        0.0244957,
        0.0245554,
        0.024493,
        0.0247381,
        0.0248861,
        0.0248985,
        0.0251435,
        0.0256621,
        0.0293527,
        0.0281435,
        0.0269664,
        0.027331,
        0.027844,
        0.0285502,
        0.0291082,
        0.0305606,
        0.0314979,
        0.0316046,
        0.0315821,
        0.0315526,
        0.0312386,
        0.0309275,
        0.0310647,
        0.0296083,
        0.0292599,
        0.0292652,
        0.029881,
        0.0306868,
        0.0313292,
        0.032672,
        0.03311,
        0.0327968,
        0.0321625,
        0.0309024,
        0.0301184,
        0.029212,
        0.0284035,
        0.027994,
        0.0277139,
        0.0277463,
        0.0275054,
        0.0276252,
        0.0279418,
        0.0272189,
        0.0264048,
        0.0263781,
        0.0263323,
        0.026317,
        0.0262117,
        0.0265022,
        0.0271125,
        0.0268111,
        0.0263794,
        0.0263072,
        0.0263495,
        0.0260926,
        0.0255942,
        0.0253806,
        0.0251947,
        0.0250579,
        0.0250163,
        0.0267079,
        0.0263923,
        0.024723,
        0.0247248,
        0.0247649,
        0.0246786,
        0.0244397,
        0.0244025,
        0.0244617,
        0.024414,
        0.0245527,
        0.0245397,
        0.0246316,
        0.0249975,
        0.0249272,
        0.0252379,
        0.0254798,
        0.0266085,
        0.026982,
        0.0265909,
        0.0265914,
        0.027057,
        0.0271123,
        0.0264604,
        0.0264575,
        0.0261946,
        0.0260044,
        0.0259635,
        0.0264907,
        0.0264303,
        0.0260288,
        0.0263452,
        0.0263027,
        0.026337,
        0.0264133,
        0.0266938,
        0.0270438,
        0.0266768,
        0.0270283,
        0.0274211,
        0.0274002,
        0.0274537,
        0.0277373,
        0.0276544,
        0.0269549,
        0.0268358,
        0.02686,
        0.0266821,
        0.0263819,
        0.0265379,
        0.0262101,
        0.026143,
        0.0261958,
        0.0259159,
        0.0256292,
        0.0259852,
        0.0259256,
        0.0256129,
        0.0257205,
        0.0258747,
        0.0258544,
        0.0258935,
        0.0258985,
        0.0261604,
        0.0261213,
        0.0255345,
        0.0251049,
        0.0252228,
        0.0249078,
        0.0248857,
        0.0250753,
        0.0263121,
        0.0251688,
        0.0251906,
        0.0256032,
        0.0262083,
        0.0264941,
        0.0269487,
        0.0266394,
        0.0268979,
        0.0276332,
        0.0285787,
        0.029463,
        0.0305845,
        0.0314415,
        0.0324879,
        0.0321652,
        0.031138,
        0.0299662,
        0.0290877,
        0.0284624,
        0.0321915,
        0.0306046,
        0.0278148,
        0.0307352,
        0.0286593,
        0.0274012,
        0.0274128,
        0.0281619,
        0.0283694,
        0.0271358,
        0.0267572,
        0.026741,
        0.0269626,
        0.0270885,
        0.027034,
        0.0269939,
        0.0281126,
        0.0288831,
        0.0270369,
        0.0267827,
        0.0269186,
        0.0270583,
        0.0267191,
        0.0269291,
        0.0269959,
        0.0270693,
        0.0275018,
        0.0277172,
        0.0273733,
        0.0272635,
        0.0271695,
        0.0270866,
        0.027106,
        0.0268777,
        0.0265689,
        0.0263757,
        0.0266539,
        0.0268909,
        0.0268866,
        0.0268461,
        0.0269913,
        0.0271438,
        0.0277104,
        0.0275306,
        0.0267975,
        0.0267632,
        0.0267063,
        0.0265179,
        0.0271544,
        0.0267696,
        0.0263066,
        0.0263301,
        0.0266634,
        0.0270094,
        0.0266168,
        0.0261995,
        0.0264102,
        0.0263935,
        0.0264327,
        0.0264228,
        0.027013,
        0.0272272,
        0.0268447,
        0.0266401,
        0.0270917,
        0.027076,
        0.0273605,
        0.0274144,
        0.0278719,
        0.0280913,
        0.0275049,
        0.0274482,
        0.0274912,
        0.0276879,
        0.0276837,
        0.0279416,
        0.0325767,
        0.0305923,
        0.0283461,
        0.0289428,
        0.0288862,
        0.0290512,
        0.0290199,
        0.0286923,
        0.0284798,
        0.029329,
        0.0292596,
        0.0278982,
        0.027802,
        0.0281667,
        0.0282081,
        0.027888,
        0.0278255,
        0.0277198,
        0.0280204,
        0.0282692,
        0.0279833,
        0.0282545,
        0.0284219,
        0.0282199,
        0.0283742,
        0.0287435,
        0.0291145,
        0.0290059,
        0.0295846,
        0.0298421,
        0.0296073,
        0.0301984,
        0.0317568,
        0.0329781,
        0.033741,
        0.0344828,
        0.0362,
        0.0371151,
        0.036032,
        0.0357455,
        0.0315312,
        0.031692,
        0.0352014,
        0.0332305,
        0.0303246,
        0.0304238,
        0.0307589,
        0.0306744,
        0.0308801,
        0.0312363,
        0.0324317,
        0.0325665,
        0.0318218,
        0.0319218,
        0.0320485,
        0.0323167,
        0.0328574,
        0.0334789,
        0.0375813,
        0.0354183,
        0.0352986,
        0.0359799,
        0.0370103,
        0.0384312,
        0.0396807,
        0.0421895,
        0.0437335,
        0.0468486,
        0.0541441,
        0.0530144,
        0.0582591,
        0.0656246,
        0.0761755,
        0.089688,
        0.108151,
        0.142579,
        0.201013,
        0.146157,
        0.113125,
        0.0908589,
        0.0816065,
        0.0754831,
        0.0613137,
        0.0547999,
        0.0505971,
        0.0476882,
        0.046858,
        0.0448308,
        0.0423841,
        0.0414651,
        0.0399809,
        0.0390476,
        0.0383405,
        0.0374411,
        0.0365892,
        0.0360781,
        0.0356866,
        0.0348124,
        0.0346531,
        0.0344761,
        0.0343281,
        0.0343753,
        0.03416,
        0.0334428,
        0.0334419,
        0.0330506,
        0.0328243,
        0.0327051,
        0.0325113,
        0.0322368,
        0.0371149,
        0.0368275,
        0.032082,
        0.0321361,
        0.0319494,
        0.0337042,
        0.0357084,
        0.0322344,
        0.0323709,
        0.0322382,
        0.0324106,
        0.0321686,
        0.0321191,
        0.0317403,
        0.0319436,
        0.0318553,
        0.032126,
        0.031873,
        0.0318007,
        0.0317032,
        0.0315328,
        0.0314276,
        0.0317535,
        0.0317031,
        0.0317641,
        0.0316988,
        0.0319466,
        0.0324837,
        0.0325274,
        0.0332156,
        0.0333992,
        0.0342589,
        0.035474,
        0.0368118,
        0.0407496,
        0.0411198,
        0.0384447,
        0.0378981,
        0.0364197,
        0.0353106,
        0.0350212,
        0.0341861,
        0.0330626,
        0.0323283,
        0.0319421,
        0.0318485,
        0.0317483,
        0.0314985,
        0.0314089,
        0.031131,
        0.0310552,
        0.030932,
        0.0308235,
        0.0309236,
        0.0309043,
        0.0309723,
        0.0310595,
        0.0314807,
        0.0314289,
        0.031851,
        0.0316803,
        0.0313431,
        0.0316663,
        0.0351074,
        0.0365748,
        0.0316997,
        0.0319865,
        0.0319059,
        0.0317584,
        0.0330443,
        0.0352886,
        0.0322823,
        0.0320116,
        0.0317405,
        0.032126,
        0.0319714,
        0.0326583,
        0.0323998,
        0.0323576,
        0.032612,
        0.0330121,
        0.0326256,
        0.0325126,
        0.033592,
        0.0348074,
        0.0330128,
        0.0335627,
        0.033125,
        0.0326583,
        null,
        0.0261881,
        0.0264028,
        0.0266172,
        0.0267453,
        0.027022,
        0.0291524,
        0.0294696,
        0.0280886,
        0.0295122,
        0.030236,
        0.0304619,
        0.0311864,
        0.03145,
        0.0308002,
        0.0296569,
        0.0288618,
        0.0281083,
        0.0273882,
        0.0268613,
        0.0265938,
        0.0260231,
        0.0256784,
        0.0254262,
        0.0253543,
        0.0252054,
        0.0250195,
        0.0247538,
        0.0246374,
        0.0245966,
        0.0245512,
        0.0246124,
        0.0245711,
        0.0245079,
        0.0244831,
        0.0245927,
        0.0246693,
        0.0247082,
        0.0247872,
        0.024729,
        0.0246374,
        0.0246921,
        0.0247867,
        0.0246455,
        0.0245514,
        0.0246998,
        0.0270569,
        0.0267498,
        0.0245659,
        0.0246457,
        0.0247615,
        0.0247175,
        0.0247552,
        0.0248428,
        0.0249249,
        0.0249858,
        0.0248924,
        0.0249913,
        0.0251397,
        0.0250747,
        0.0251178,
        0.0252801,
        0.02549,
        0.0255953,
        0.0255477,
        0.0254546,
        0.0254338,
        0.0254864,
        0.025586,
        0.0255887,
        0.0256339,
        0.0258039,
        0.0259559,
        0.0261317,
        0.0261711,
        0.0259946,
        0.025846,
        0.0258889,
        0.0258653,
        0.0258426,
        0.0256537,
        0.0254646,
        0.0255234,
        0.025626,
        0.0257462,
        0.0257851,
        0.0291687,
        0.0290293,
        0.0259052,
        0.0255422,
        0.0255479,
        0.0255246,
        0.0255345,
        0.0254075,
        0.0254277,
        0.0254046,
        0.025378,
        0.0253781,
        0.0254444,
        0.0257125,
        0.0259024,
        0.0260903,
        0.0264594,
        0.0268189,
        0.0271127,
        0.0274699,
        0.0279008,
        0.0284029,
        0.0293276,
        0.0338202,
        0.034658,
        0.0321153,
        0.0337332,
        0.0354829,
        0.0376944,
        0.0403016,
        0.0427584,
        0.044895,
        0.0465769,
        0.0488537,
        0.0508185,
        0.0525247,
        0.0570484,
        0.0641743,
        0.0758584,
        0.0962282,
        0.12975,
        0.191339,
        0.192136,
        0.1273,
        0.0933227,
        0.0741575,
        0.0605256,
        0.0505649,
        0.0450692,
        0.0407805,
        0.0374338,
        0.0350556,
        0.0332311,
        0.0314649,
        0.0300747,
        0.0289851,
        0.0281537,
        0.0275698,
        0.0269259,
        0.0262843,
        0.0258586,
        0.0255471,
        0.0253008,
        0.0251563,
        0.025183,
        0.0262809,
        0.0264739,
        0.0249418,
        0.0247838,
        0.0245714,
        0.0244774,
        0.0242899,
        0.0242187,
        0.0241678,
        0.0241482,
        0.0239535,
        0.0238992,
        0.0239576,
        0.02386,
        0.0236946,
        0.0237051,
        0.0237993,
        0.0236175,
        0.0235469,
        0.0238079,
        0.0238273,
        0.0236495,
        0.0234973,
        0.023547,
        0.0234452,
        0.02334,
        0.0233406,
        0.0233897,
        0.0247855,
        0.0242224,
        0.0233739,
        0.0232992,
        0.0233,
        0.0231852,
        0.0231155,
        0.0230534,
        0.0229346,
        0.0228404,
        0.0227366,
        0.02279,
        0.022633,
        0.0225622,
        0.0224702,
        0.022438,
        0.0223941,
        0.0223716,
        0.0232428,
        0.0227663,
        0.0258367,
        0.0259456,
        0.0224834,
        0.0225983,
        0.0232116,
        0.0231745,
        0.022506,
        0.0226562,
        0.0255059,
        0.0250142,
        0.0226914,
        0.0230387,
        0.0230949,
        0.0231856,
        0.0235565,
        0.0240484,
        0.0246201,
        0.0254371,
        0.0260812,
        0.0269503,
        0.0266019,
        0.0255426,
        0.0249806,
        0.0245976,
        0.0242769,
        0.024016,
        0.0255387,
        0.0253441,
        0.0234859,
        0.0233329,
        0.0232153,
        0.0231031,
        0.0229352,
        0.022842,
        0.0228909,
        0.0229225,
        0.0232319,
        0.0228334,
        0.0224465,
        0.0224542,
        0.0224382,
        0.0223187,
        0.0223468,
        0.0228268,
        0.0228804,
        0.0224348,
        0.0225,
        0.0225876,
        0.0228657,
        0.022755,
        0.0224027,
        0.022305,
        0.0221673,
        0.0219466,
        0.0219329,
        0.0220036,
        0.0217527,
        0.0215543,
        0.0214892,
        0.0215774,
        0.0215537,
        0.0215765,
        0.021617,
        0.021629,
        0.021596,
        0.0216454,
        0.0217084,
        0.0217357,
        0.0217294,
        0.0217803,
        0.0217996,
        0.0223094,
        0.0234272,
        0.0229279,
        0.0223131,
        0.0222103,
        0.0220098,
        0.0220297,
        0.0220232,
        0.024157,
        0.0242213,
        0.022509,
        0.0223886,
        0.0224033,
        0.0224387,
        0.0225061,
        0.0225999,
        0.0224992,
        0.0224625,
        0.0225319,
        0.0225028,
        0.0224786,
        0.022567,
        0.0231437,
        0.0230655,
        0.0226301,
        0.0226655,
        0.0227877,
        0.0228061,
        0.0227291,
        0.0241727,
        0.0242215,
        0.022792,
        0.0227283,
        0.0227569,
        0.0249232,
        0.0247778,
        0.0226914,
        0.0226877,
        0.0226169,
        0.0226563,
        0.0227106,
        0.0227357,
        0.0233936,
        0.0234805,
        0.0236323,
        0.0238833,
        0.0241925,
        0.0245689,
        0.0249614,
        0.0255533,
        0.0262997,
        0.0271288,
        0.0281366,
        0.0292235,
        0.0306175,
        0.031912,
        0.0329384,
        0.0338433,
        0.0347854,
        0.0362218,
        0.0380403,
        0.0404196,
        0.0440476,
        0.0491129,
        0.0563402,
        0.0678436,
        0.0861298,
        0.11277,
        0.154623,
        0.223589,
        0.330391,
        0.18796,
        0.13189,
        0.0978442,
        0.0792568,
        0.0662766,
        0.0548205,
        0.047315,
        0.0419203,
        0.038309,
        0.0359158,
        0.0336804,
        0.0319821,
        0.0305807,
        0.0292291,
        0.0281783,
        0.0273507,
        0.0266594,
        0.0260169,
        0.0253909,
        0.0251616,
        0.0248895,
        0.0241383,
        0.0238187,
        0.0236484,
        0.0253673,
        0.0252373,
        0.0228996,
        0.0226631,
        0.0225801,
        0.0225302,
        0.0224686,
        0.0224239,
        0.0223387,
        0.0224543,
        0.0224394,
        0.0224528,
        0.0222068,
        0.0219583,
        0.0218194,
        0.0216756,
        0.0216477,
        0.0217154,
        0.0217446,
        0.021753,
        0.0217307,
        0.0217316,
        0.0218179,
        0.0218025,
        0.0219421,
        0.0223411,
        0.0222798,
        0.021942,
        0.021848,
        0.0219926,
        0.0217883,
        0.0216551,
        0.0216501,
        0.021657,
        0.0216618,
        0.0216372,
        0.0217662,
        0.0216125,
        0.0215258,
        0.0214092,
        0.0214137,
        0.0213754,
        0.0213414,
        0.0213635,
        0.0213779,
        0.0213965,
        0.0213442,
        0.0212151,
        0.0211801,
        0.0212509,
        0.0212291,
        0.0212422,
        0.0212704,
        0.0213021,
        0.0211413,
        0.021316,
        0.0219804,
        0.0219376,
        0.0210177,
        0.0210113,
        0.0210221,
        0.0211585,
        0.0214996,
        0.0218045,
        0.0222127,
        0.0227432,
        0.0236028,
        0.0235962,
        0.0225735,
        0.0221054,
        0.0216794,
        0.0215869,
        0.0214294,
        0.0211695,
        0.0210002,
        0.0209935,
        0.0210363,
        0.0210499,
        0.0210459,
        0.0210608,
        0.0210885,
        0.0211809,
        0.0212801,
        0.0221571,
        0.0219481,
        0.0212467,
        0.0210611,
        0.0210779,
        0.0210494,
        0.0210705,
        0.0211578,
        0.0211539,
        0.0211704,
        0.0211323,
        0.021152,
        0.0213784,
        0.0213578,
        0.0213352,
        0.0213958,
        0.0213502,
        0.0214225,
        0.0215725,
        0.0216182,
        0.0216876,
        0.0217058,
        0.0218259,
        0.0220303,
        0.0221447,
        0.0222884,
        0.0224096,
        0.0227401,
        0.022998,
        0.0231066,
        0.0234718,
        0.0240445,
        0.0243588,
        0.024847,
        0.0258906,
        0.0263947,
        0.0265883,
        0.0281151,
        0.0280484,
        0.0304024,
        0.0298227,
        0.0264519,
        0.0258105,
        0.0252079,
        0.0245396,
        0.024071,
        0.0237248,
        0.0234911,
        0.023334,
        0.023271,
        0.0232638,
        0.0232477,
        0.023293,
        0.0234476,
        0.0238172,
        0.024157,
        0.0244127,
        0.0246776,
        0.0251191,
        0.0256749,
        0.0264868,
        0.0274326,
        0.0283615,
        0.0295412,
        0.0312696,
        0.0353272,
        0.042737,
        0.0458066,
        0.0465903,
        0.0550443,
        0.0688964,
        0.090886,
        0.127001,
        0.18594,
        0.186869,
        0.128412,
        0.0903446,
        0.0687906,
        0.0553602,
        0.0462236,
        0.0407511,
        0.0422922,
        0.0384201,
        0.0310357,
        0.0293943,
        0.0281748,
        0.027397,
        0.0267065,
        0.0259568,
        0.0256546,
        0.0255091,
        0.0252912,
        0.0252457,
        0.0248992,
        0.0243096,
        0.0236099,
        0.0229921,
        0.0224849,
        0.0221268,
        0.0218301,
        0.0217173,
        0.0214367,
        0.0213861,
        0.0210949,
        0.0210407,
        0.0209914,
        0.0208874,
        0.0211829,
        0.0211318,
        0.0212783,
        0.0214356,
        0.0215373,
        0.0211209,
        0.021167,
        0.0211595,
        0.0212862,
        0.0213663,
        0.0211647,
        0.0211319,
        0.0212218,
        0.0214967,
        0.0234262,
        0.0228025,
        0.0215297,
        0.0213233,
        0.0213652,
        0.021317,
        0.0216052,
        0.0221177,
        0.0222132,
        0.0215142,
        0.0213782,
        0.0212085,
        0.0210536,
        0.0213386,
        0.0211449,
        0.0205891,
        0.0204434,
        0.0205049,
        0.0204941,
        0.0204379,
        0.0202807,
        0.0201697,
        0.0201021,
        0.0203159,
        0.0203468,
        0.0201554,
        0.0209382,
        0.0208511,
        0.0199226,
        0.0199369,
        0.0198742,
        0.0199012,
        0.0198751,
        0.019896,
        0.0200147,
        0.0200488,
        0.019985,
        0.0199006,
        0.0197748,
        0.0202549,
        0.0203412,
        0.0199886,
        0.0200573,
        0.0201011,
        0.0201508,
        0.0202572,
        0.0202658,
        0.0210366,
        0.0209387,
        0.020561,
        0.0205544,
        0.0205971,
        0.0206411,
        0.0207536,
        0.0221972,
        0.0220744,
        0.0204913,
        0.0204886,
        0.0205461,
        0.0207037,
        0.0207289,
        0.0207389,
        0.0219969,
        0.0222059,
        0.0220116,
        0.0220196,
        0.0209008,
        0.0209313,
        0.0211919,
        0.0212421,
        0.0209417,
        0.0209017,
        0.0208735,
        0.0208762,
        0.0209429,
        0.020962,
        0.0208769,
        0.021029,
        0.0209517,
        0.0210497,
        0.0211902,
        0.0214403,
        0.0216648,
        0.021976,
        0.0222524,
        0.0224958,
        0.0225124,
        0.0225099,
        0.0220464,
        0.0214942,
        0.021279,
        0.0211901,
        0.0210689,
        0.0206506,
        0.0205052,
        0.0204839,
        0.0204256,
        0.020519,
        0.0206255,
        0.0220602,
        0.0217123,
        0.0208235,
        0.0210662,
        0.0210407,
        0.0206131,
        0.0210253,
        0.0212952,
        0.0208264,
        0.0209356,
        0.0211215,
        0.0211086,
        0.0209871,
        0.0210385,
        0.0210329,
        0.0211633,
        0.021232,
        0.0213742,
        0.0214398,
        0.0215209,
        0.022293,
        0.0223431,
        0.0216657,
        0.0216544,
        0.0217031,
        0.0216564,
        0.0217249,
        0.0219594,
        0.0219557,
        0.0230492,
        0.0242128,
        0.0221304,
        0.0220046,
        0.0219444,
        0.0222894,
        0.0224285,
        0.022198,
        0.0223184,
        0.0224568,
        0.0225049,
        0.0226475,
        0.0228919,
        0.0232164,
        0.0233635,
        0.0233899,
        0.0232465,
        0.0227906,
        0.0218621,
        0.0222536,
        0.0221223,
        0.0217233,
        0.0215046,
        0.0219459,
        0.0215403,
        0.0212762,
        0.0219486,
        0.0219796,
        0.0212897,
        0.0211975,
        0.0211632,
        0.0213538,
        0.0245062,
        0.0239423,
        0.0209955,
        0.020964,
        0.0210651,
        0.0216232,
        0.0216259,
        0.0210998,
        0.0211014,
        0.0212216,
        0.021213,
        0.0213708,
        0.0213521,
        0.0214135,
        0.0214627,
        0.0214991,
        0.0220483,
        0.022007,
        0.021541,
        0.0213779,
        0.0214769,
        0.0215872,
        0.0218215,
        0.0218156,
        0.0215548,
        0.0215769,
        0.0217688,
        0.0218846,
        0.0220739,
        0.0222874,
        0.0223164,
        0.0223759,
        0.0220051,
        0.0221382,
        0.0222323,
        0.0225894,
        0.022604,
        0.0229593,
        0.0235534,
        0.0238368,
        0.0235986,
        0.0235778,
        0.0233495,
        0.0234463,
        0.0229307,
        0.0224384,
        0.0220942,
        0.0220529,
        0.0217132,
        0.0215918,
        0.021699,
        0.0218037,
        0.0217401,
        0.0216784,
        0.0217068,
        0.0218273,
        0.0219603,
        0.0221023,
        0.0223291,
        0.0226207,
        0.0228326,
        0.0232689,
        0.0236175,
        0.0241872,
        0.025049,
        0.0260898,
        0.0270721,
        0.028081,
        0.0288373,
        0.0294712,
        0.0294894,
        0.0291531,
        0.0283099,
        0.0276123,
        0.0271052,
        0.0262777,
        0.0255995,
        0.0252674,
        0.0248466,
        0.0249539,
        0.0249807,
        0.0249505,
        0.0251953,
        0.0254703,
        0.0256111,
        0.0259385,
        0.0261883,
        0.0262466,
        0.0261737,
        0.0261169,
        0.0258025,
        0.0255772,
        0.0252757,
        0.0247905,
        0.0242715,
        0.0239757,
        0.023763,
        0.0234284,
        0.0233922,
        0.0233274,
        0.0229115,
        0.0228611,
        0.0225738,
        0.0223143,
        0.0226141,
        0.0231228,
        0.0220707,
        0.0218624,
        0.0218828,
        0.0247689,
        0.0244416,
        0.0225025,
        0.0234023,
        0.0218647,
        0.0213283,
        0.0212474,
        0.0213711,
        0.0213625,
        0.0216296,
        0.0215781,
        0.0212778,
        0.021221,
        0.0211849,
        0.0217759,
        0.0218249,
        0.0214833,
        0.0215993,
        0.0217295,
        0.0216581,
        0.0216679,
        0.0216276,
        0.023132,
        0.0234622,
        0.0221156,
        0.0224538,
        0.0221026,
        0.0221733,
        0.0224102,
        0.0225833,
        0.0228922,
        0.0230754,
        0.0230641,
        0.0231461,
        0.0231899,
        0.0232533,
        0.0231731,
        0.0233063,
        0.0234657,
        0.0235369,
        0.0235386,
        0.0238219,
        0.0240213,
        0.0242879,
        0.0245369,
        0.0249582,
        0.0256557,
        0.0263149,
        0.0271054,
        0.0275701,
        0.0278264,
        0.0281262,
        0.0284777,
        0.0291482,
        0.0300168,
        0.0314325,
        0.034898,
        0.0367333,
        0.037368,
        0.041,
        0.0460167,
        0.052264,
        0.0616993,
        0.0743321,
        0.0915422,
        0.110062,
        0.129515,
        0.143207,
        0.12976,
        0.106591,
        0.0882955,
        0.0726522,
        0.0611698,
        0.0522708,
        0.0457522,
        0.041169,
        0.0376133,
        0.034938,
        0.0330411,
        0.031375,
        0.0301895,
        0.0293577,
        0.0286608,
        0.028067,
        0.0279684,
        0.0276308,
        0.0274706,
        0.0274708,
        0.0282428,
        0.0287908,
        0.028567,
        0.0286854,
        0.0289376,
        0.0296113,
        0.0307139,
        0.0321829,
        0.034045,
        0.0365402,
        0.0400168,
        0.0453534,
        0.0532072,
        0.0651704,
        0.0793478,
        0.0913469,
        0.0921756,
        0.0795143,
        0.0638429,
        0.0517989,
        0.0476799,
        0.040501,
        0.0346229,
        0.0318114,
        0.0295646,
        0.02783,
        0.0265706,
        0.0256883,
        0.0250485,
        0.0243831,
        0.0239304,
        0.023434,
        0.023123,
        0.0227119,
        0.0249991,
        0.0244614,
        0.0219528,
        0.0216623,
        0.0213794,
        0.0212074,
        0.0209949,
        0.0208788,
        0.0212271,
        0.024601,
        0.0241122,
        0.0209331,
        0.020845,
        0.02094,
        0.0209372,
        0.0208975,
        0.0211411,
        0.0216705,
        0.0214706,
        0.0209868,
        0.0211247,
        0.0211426,
        0.020988,
        0.0211196,
        0.0213634,
        0.0210529,
        0.0211205,
        0.0212877,
        0.0214605,
        0.0211291,
        0.0215702,
        0.0218013,
        0.0213695,
        0.0212622,
        0.0213271,
        0.0213091,
        0.0213271,
        0.0213111,
        0.0213879,
        0.0214655,
        0.0217425,
        0.0239131,
        0.0241195,
        0.0220225,
        0.0220832,
        0.0221448,
        0.0226242,
        0.0238541,
        0.02308,
        0.0217341,
        0.0215123,
        0.0210913,
        0.0208676,
        0.0206991,
        0.0205012,
        0.0204141,
        0.0202592,
        0.0202994,
        0.020316,
        0.0207648,
        0.0209985,
        0.020108,
        0.0200642,
        0.0200152,
        0.0199593,
        0.0199355,
        0.0200329,
        0.0200861,
        0.0204215,
        0.0204715,
        0.0200011,
        0.0200178,
        0.0200741,
        0.0202223,
        0.0203306,
        0.0203226,
        0.0203184,
        0.0204362,
        0.0205152,
        0.0222421,
        0.0223602,
        0.0208182,
        0.0209921,
        0.0209943,
        0.0209542,
        0.0211633,
        0.0212987,
        0.0212006,
        0.0212919,
        0.0212612,
        0.021306,
        0.021485,
        0.0215503,
        0.0215835,
        0.0216231,
        0.0217039,
        0.0217065,
        0.0219382,
        0.021883,
        0.0218794,
        0.0219436,
        0.0217872,
        0.0218086,
        0.0217051,
        0.0216536,
        0.0218796,
        0.0218342,
        0.0217044,
        0.021622,
        0.0215104,
        0.0215074,
        0.0214523,
        0.0214706,
        0.0213939,
        0.0213305,
        0.0214821,
        0.0215101,
        0.0216254,
        0.0215431,
        0.0215983,
        0.0217531,
        0.0218015,
        0.0217664,
        0.0218552,
        0.0219121,
        0.0220711,
        0.0222366,
        0.0225356,
        0.0228353,
        0.0236622,
        0.0239174,
        0.0237098,
        0.0270093,
        0.0275241,
        0.0250876,
        0.0260226,
        0.0307467,
        0.03135,
        0.0280615,
        0.029201,
        0.0302468,
        0.030751,
        0.0312476,
        0.0318142,
        0.0321788,
        0.0324696,
        0.0330338,
        0.0336524,
        0.034145,
        0.0351709,
        0.036641,
        0.0386492,
        0.0410574,
        0.0442912,
        0.048284,
        0.0535407,
        0.0602721,
        0.0704533,
        0.0851438,
        0.106708,
        0.146552,
        0.196191,
        0.264435,
        0.224983,
        0.160118,
        0.12066,
        0.0927216,
        0.0763991,
        0.0652506,
        0.0565724,
        0.0497062,
        0.0453128,
        0.0415465,
        0.0384103,
        0.0363645,
        0.0337471,
        0.0322066,
        0.0307705,
        0.0294427,
        0.0285451,
        0.0278579,
        0.0271561,
        0.0264467,
        0.0256996,
        0.0252904,
        0.0248787,
        0.024761,
        0.0246557,
        0.0243737,
        0.0239342,
        0.0237227,
        0.0235766,
        0.0235515,
        0.0234042,
        0.0232669,
        0.0239452,
        0.0238556,
        0.0227913,
        0.0229245,
        0.0230605,
        0.0230561,
        0.023006,
        0.022895,
        0.0226631,
        0.0227545,
        0.0236599,
        0.0234607,
        0.0226312,
        0.0227865,
        0.0234525,
        0.0239674,
        0.022936,
        0.0224526,
        0.0224375,
        0.0224914,
        0.0225286,
        0.0226248,
        0.0227231,
        0.0226364,
        0.0226656,
        0.0231922,
        0.0246306,
        0.023649,
        0.0231858,
        0.0233289,
        0.0234493,
        0.0237043,
        0.0240571,
        0.024357,
        0.0249154,
        0.0255273,
        0.0264775,
        0.0273335,
        0.0280802,
        0.0290385,
        0.0296366,
        0.029994,
        0.0297521,
        0.029533,
        0.0289417,
        0.0280252,
        0.0272364,
        0.0264575,
        0.0258086,
        0.0266052,
        0.0256205,
        0.0242203,
        0.0238181,
        0.0237205,
        0.0234008,
        0.0231492,
        0.0227787,
        0.0224965,
        0.0221914,
        0.0220381,
        0.0218557,
        0.021722,
        0.0217227,
        0.0216898,
        0.0220034,
        0.0220343,
        0.0215221,
        0.0214919,
        0.021552,
        0.021565,
        0.0214807,
        0.0215335,
        0.0213961,
        0.0212639,
        0.0212714,
        0.021283,
        0.02138,
        0.022291,
        0.0223687,
        0.0217246,
        0.0216902,
        0.0217813,
        0.0218673,
        0.0220073,
        0.0221565,
        0.0222252,
        0.0223739,
        0.0224175,
        0.0232991,
        0.0240525,
        0.0229337,
        0.0221689,
        0.0223086,
        0.0223096,
        0.0222744,
        0.0217215,
        0.0215145,
        0.0214134,
        0.0210969,
        0.0210983,
        0.0210215,
        0.020893,
        0.0209907,
        0.020957,
        0.0210005,
        0.0208515,
        0.0207612,
        0.0207456,
        0.0207093,
        0.0223479,
        0.0226493,
        0.0211996,
        0.0207348,
        0.0207152,
        0.0208907,
        0.0209191,
        0.0208044,
        0.0207355,
        0.0206399,
        0.0206023,
        0.0213803,
        0.021564,
        0.0209431,
        0.0226171,
        0.0224471,
        0.0209757,
        0.0210333,
        0.0215117,
        0.023074,
        0.0227366,
        0.0220588,
        0.0224161,
        0.0224013,
        0.0225082,
        0.0235506,
        0.0230903,
        0.0218286,
        0.0219766,
        0.0243089,
        0.0241598,
        0.0219926,
        0.0223466,
        0.0220892,
        0.0217201,
        0.0217103,
        0.0217651,
        0.0218799,
        0.0230938,
        0.02368,
        0.0218585,
        0.021845,
        0.0218153,
        0.0219125,
        0.0219301,
        0.0219828,
        0.022054,
        0.0219626,
        0.0219656,
        0.0217853,
        0.0217108,
        0.0215492,
        0.0214572,
        0.0212743,
        0.0211032,
        0.0211434,
        0.0213604,
        0.024399,
        0.0242207,
        0.0208571,
        0.0209003,
        0.0210078,
        0.0210446,
        0.0209335,
        0.0210018,
        0.0209162,
        0.0208859,
        0.0207944,
        0.0207762,
        0.0208399,
        0.021039,
        0.0212402,
        0.0219626,
        0.0218301,
        0.0213364,
        0.0214303,
        0.0214352,
        0.0219287,
        0.0237456,
        0.0226607,
        0.0215718,
        0.0214863,
        0.0229687,
        0.0232536,
        0.0219562,
        0.0218858,
        0.0219272,
        0.0220121,
        0.0220792,
        0.0220913,
        0.0220315,
        0.0222382,
        0.0221772,
        0.0221881,
        0.0225085,
        0.0222914,
        0.0222805,
        0.0226839,
        0.0228419,
        0.0227538,
        0.0232377,
        0.0234549,
        0.0229855,
        0.0233443,
        0.0234297,
        0.023251,
        0.0233429,
        0.0234047,
        0.0230946,
        0.0230421,
        0.0228045,
        0.0226557,
        0.0226034,
        0.0224014,
        0.022506,
        0.0226166,
        0.0222148,
        0.0219863,
        0.0220449,
        0.0218422,
        0.0218067,
        0.021721,
        0.0218749,
        0.0217466,
        0.0217199,
        0.0215089,
        0.021491,
        0.0214342,
        0.0215091,
        0.0215317,
        0.0215527,
        0.021765,
        0.0218957,
        0.0218848,
        0.0218112,
        0.0217921,
        0.0217591,
        0.0223028,
        0.0223457,
        0.0219448,
        0.0218916,
        0.0220969,
        0.0223971,
        0.0221889,
        0.0221262,
        0.0220829,
        0.0221206,
        0.0221688,
        0.0222926,
        0.022264,
        0.0224143,
        0.0223726,
        0.0225221,
        0.0225517,
        0.022697,
        0.0229745,
        0.0229702,
        0.0227905,
        0.0231206,
        0.0230145,
        0.023574,
        0.0236248,
        0.0228386,
        0.0228365,
        0.0228084,
        0.0227494,
        0.0229361,
        0.0238142,
        0.0233417,
        0.0229425,
        0.0229126,
        0.0230253,
        0.0228074,
        0.0226956,
        0.0227322,
        0.0227588,
        0.0227588,
        0.0227281,
        0.0227131,
        0.0226715,
        0.0225206,
        0.0227806,
        0.022744,
        0.0232499,
        0.0230107,
        0.0229649,
        0.0230419,
        0.0230945,
        0.0230197,
        0.022987,
        0.022852,
        0.0228192,
        0.0228011,
        0.0227281,
        0.0231864,
        0.022912,
        0.0264496,
        0.0268201,
        0.023155,
        0.0229604,
        0.0228695,
        0.0229459,
        0.0230282,
        0.0230087,
        0.0232553,
        0.0232419,
        0.023394,
        0.0235556,
        0.023806,
        0.0238894,
        0.0240691,
        0.0240575,
        0.0241533,
        0.0244753,
        0.0244888,
        0.0242188,
        0.0248309,
        0.0274858,
        0.0332381,
        0.0296086,
        0.0263112,
        0.0255116,
        0.0256848,
        0.026006,
        0.0260179,
        0.0263321,
        0.0276157,
        0.0291022,
        0.0291357,
        0.0280387,
        0.0284252,
        0.0291912,
        0.0298624,
        0.0302962,
        0.0301666,
        0.0299595,
        0.0293558,
        0.0289748,
        0.0282513,
        0.0276295,
        0.027319,
        0.0268456,
        0.0264554,
        0.0259518,
        0.0256176,
        0.0255692,
        0.0250934,
        0.0250664,
        0.0249189,
        0.0247638,
        0.0243012,
        0.0244,
        0.0244418,
        0.0240741,
        0.0237783,
        0.0238826,
        0.0238474,
        0.0239274,
        0.0238878,
        0.0236254,
        0.0258294,
        0.0258432,
        0.0237284,
        0.023663,
        0.0235601,
        0.0236843,
        0.0242387,
        0.0245164,
        0.024105,
        0.0241433,
        0.0239067,
        0.0241482,
        0.0270795,
        0.0272145,
        0.0243284,
        0.0243082,
        0.0241224,
        0.0243007,
        0.024357,
        0.0245178,
        0.0246975,
        0.0247506,
        0.0246689,
        0.0246504,
        0.0251142,
        0.0251559,
        0.0250059,
        0.0249117,
        0.0270235,
        0.0288338,
        0.0250307,
        0.0254509,
        0.0254401,
        0.0251047,
        0.0248216,
        0.0248439,
        0.0248911,
        0.0249431,
        0.0249321,
        0.0250386,
        0.0250656,
        0.025048,
        0.0250418,
        0.0247864,
        0.0247045,
        0.0261707,
        0.0259094,
        0.024521,
        0.024271,
        0.0246241,
        0.0246965,
        0.0248727,
        0.024983,
        0.025102,
        0.025021,
        0.0252998,
        0.0255293,
        0.0255456,
        0.0257901,
        0.0261809,
        0.0260348,
        0.0259372,
        0.02712,
        0.0270802,
        0.025917,
        0.0257571,
        0.025743,
        0.0256931,
        0.0258401,
        0.025674,
        0.0255204,
        0.0253194,
        0.0253699,
        0.0254063,
        0.0254816,
        0.025434,
        0.0253399,
        0.0253147,
        0.0253245,
        0.0255633,
        0.0256084,
        0.0258168,
        0.0261706,
        0.0262167,
        0.0261136,
        0.0260297,
        0.0261732,
        0.0259315,
        0.0260169,
        0.0260706,
        0.0264651,
        0.0266559,
        0.0263405,
        0.0264053,
        0.0264603,
        0.0282047,
        0.0283105,
        0.0266971,
        0.0269784,
        0.0270156,
        0.0271568,
        0.0272657,
        0.0271408,
        0.0271381,
        0.0270898,
        0.0273921,
        0.0270555,
        0.0267333,
        0.0266602,
        0.0263544,
        0.0264542,
        0.0271798,
        0.0264365,
        0.025522,
        0.025491,
        0.0258812,
        0.0254546,
        0.0253493,
        0.0255835,
        0.0257155,
        0.0271546,
        0.0261121,
        0.0256692,
        0.0256305,
        0.0255983,
        0.0254583,
        0.0254652,
        0.0259889,
        0.026117,
        0.0257395,
        0.0261389,
        0.0264558,
        0.0259396,
        0.0259222,
        0.0259876,
        0.0261528,
        0.0266491,
        0.0263079,
        0.0260667,
        0.0262898,
        0.0269208,
        0.0273823,
        0.0274998,
        0.0278414,
        0.0279075,
        0.0281018,
        0.0282568,
        0.0282262,
        0.0278272,
        0.0281427,
        0.0283663,
        0.0274673,
        0.0274057,
        0.0275881,
        0.0277338,
        0.0275713,
        0.029417,
        0.0308019,
        0.0288756,
        0.0280036,
        0.0282972,
        0.0329038,
        0.0331995,
        0.0308471,
        0.0306114,
        0.0283186,
        0.0282189,
        0.0282887,
        0.0280217,
        0.0280696,
        0.0277833,
        0.0277286,
        0.0301298,
        0.0295479,
        0.0274309,
        0.0271987,
        0.0273501,
        0.0270003,
        0.0269374,
        0.0273476,
        0.0269497,
        0.0268518,
        0.02682,
        0.0265109,
        0.0272189,
        0.0281104,
        0.0274512,
        0.0264058,
        0.0265888,
        0.0269377,
        0.0263406,
        0.0262323,
        0.0263394,
        0.0263199,
        0.0265178,
        0.0267825,
        0.0270364,
        0.0268574,
        0.0268371,
        0.0268048,
        0.0268668,
        0.0293417,
        0.0280826,
        0.0270227,
        0.0273226,
        0.0275706,
        0.0274948,
        0.0272473,
        0.02746,
        0.0278887,
        0.0280091,
        0.0278504,
        0.0279592,
        0.0279699,
        0.0282448,
        0.0282019,
        0.0284948,
        0.0282794,
        0.0284309,
        0.0287517,
        0.0289925,
        0.0288131,
        0.028892,
        0.028788,
        0.0289946,
        0.0289796,
        0.028833,
        0.0290381,
        0.0292429,
        0.0291688,
        0.029408,
        0.0296231,
        0.0294395,
        0.029441,
        0.0294663,
        0.0295347,
        0.0299151,
        0.0297134,
        0.0295334,
        0.0300609,
        0.0325704,
        0.0315361,
        0.028855,
        0.0292275,
        0.029562,
        0.0293667,
        0.0296982,
        0.0299981,
        0.0293132,
        0.0294913,
        0.0298219,
        0.0298987,
        0.0300321,
        0.0301252,
        0.0307208,
        0.034484,
        0.0340725,
        0.030692,
        0.0309506,
        0.0323722,
        0.0341367,
        0.0325601,
        0.0329544,
        0.0335834,
        0.0346611,
        0.0366218,
        0.0393022,
        0.0479577,
        0.0493914,
        0.0453846,
        0.0452706,
        0.0442388,
        0.0418944,
        0.0398867,
        0.0393463,
        0.0391241,
        0.0358702,
        0.0352956,
        0.0348609,
        0.0344157,
        0.0346898,
        0.0346546,
        0.0341533,
        0.0345391,
        0.0346046,
        0.0346814,
        0.0345654,
        0.0350091,
        0.0356167,
        0.0361542,
        0.036559,
        0.0387261,
        0.0396016,
        0.0386339,
        0.0390141,
        0.0399663,
        0.04095,
        0.0426789,
        0.0443126,
        0.046227,
        0.0487779,
        0.0518398,
        0.0556913,
        0.0613205,
        0.0693334,
        0.0792137,
        0.0942075,
        0.11806,
        0.152199,
        0.193305,
        0.242244,
        0.292595,
        0.326066,
        0.297331,
        0.255255,
        0.219513,
        0.189893,
        0.177969,
        0.18611,
        0.209597,
        0.259416,
        0.249794,
        0.179136,
        0.133171,
        0.106704,
        0.0910691,
        0.0791397,
        0.0716492,
        0.0643201,
        0.0593924,
        0.0556812,
        0.0514841,
        0.0496458,
        0.0481148,
        0.0470486,
        0.0453465,
        0.0442568,
        0.0431616,
        0.0422173,
        0.0416105,
        0.0414712,
        0.041024,
        0.0405737,
        0.0401804,
        0.0389269,
        0.0382011,
        0.0373201,
        0.0369964,
        0.0367571,
        0.0362106,
        0.0378669,
        0.0385083,
        0.0384603,
        0.0365793,
        0.0356686,
        0.0348227,
        0.0346371,
        0.0343315,
        0.0340068,
        0.0339929,
        0.0341815,
        0.0333428,
        0.0333616,
        0.033058,
        0.0328198,
        0.0324625,
        0.032402,
        0.0321887,
        0.0319308,
        0.0322641,
        0.0323735,
        0.0322176,
        0.0318389,
        0.0318192,
        0.0316475,
        0.0316406,
        0.0316279,
        0.031728,
        0.0317535,
        0.0320165,
        0.0328219,
        0.0338311,
        0.0317707,
        0.0316306,
        0.0315969,
        0.031701,
        0.0313835,
        0.0313852,
        0.0313975,
        0.0313442,
        0.0314661,
        0.0318175,
        0.0321252,
        0.0320223,
        0.0321524,
        0.0319307,
        0.0319748,
        0.0322353,
        0.0323339,
        0.0324519,
        0.033016,
        0.0332629,
        0.0326464,
        0.0331487,
        0.0327525,
        0.0329826,
        0.0331293,
        0.0331324,
        0.0333018,
        0.0332259,
        0.0330754,
        0.0329345,
        0.0334551,
        0.0336379,
        0.033436,
        0.0334056,
        0.0333798,
        0.0334268,
        0.0336929,
        0.0335452,
        0.0337224,
        0.0335571,
        0.0342156,
        0.0339529,
        0.0337137,
        0.0338996,
        0.0341102,
        0.0344179,
        0.0394198,
        0.0377559,
        0.0344426,
        0.0345031,
        0.0347919,
        0.0353301,
        0.0356564,
        0.0358345,
        0.0359904,
        0.0361838,
        0.0364614,
        0.0372888,
        0.0380302,
        0.0390898,
        0.0418867,
        0.0412542,
        0.0421675,
        0.043627,
        0.0460672,
        0.0488426,
        0.0522665,
        0.0566559,
        0.0618631,
        0.068695,
        0.0782833,
        0.0915575,
        0.106696,
        0.121758,
        0.136174,
        0.141962,
        0.13651,
        0.124772,
        0.108578,
        0.0936715,
        0.0828464,
        0.0755091,
        0.0648015,
        0.0587226,
        0.0543092,
        0.0519728,
        0.0489931,
        0.0471996,
        0.0457402,
        0.0445179,
        null,
        0.0334239,
        0.0336759,
        0.0337522,
        0.0339302,
        0.0342571,
        0.0345355,
        0.0347829,
        0.0353906,
        0.0360199,
        0.0363438,
        0.036821,
        0.037573,
        0.0381428,
        0.0389666,
        0.0397521,
        0.0405698,
        0.041799,
        0.0433914,
        0.045212,
        0.0474656,
        0.0501064,
        0.0536721,
        0.0578482,
        0.0629334,
        0.0706392,
        0.0805009,
        0.0950177,
        0.116397,
        0.155479,
        0.216097,
        0.309749,
        0.26869,
        0.184801,
        0.138647,
        0.110761,
        0.0936835,
        0.081565,
        0.0808894,
        0.0725273,
        0.0586768,
        0.0544404,
        0.0508414,
        0.0479008,
        0.0456366,
        0.043601,
        0.0416348,
        0.0402051,
        0.0388957,
        0.0379286,
        0.0369993,
        0.0363905,
        0.0356795,
        0.0350065,
        0.0343168,
        0.0340535,
        0.033639,
        0.0331797,
        0.0328415,
        0.0326811,
        0.0354191,
        0.0353766,
        0.0320413,
        0.0319442,
        0.0317446,
        0.0314698,
        0.0313822,
        0.0314154,
        0.0315808,
        0.0316599,
        0.0319051,
        0.0322114,
        0.0326911,
        0.0333953,
        0.0361563,
        0.0363744,
        0.0357675,
        0.0373382,
        0.0394946,
        0.0423192,
        0.0465487,
        0.0520567,
        0.060307,
        0.0733604,
        0.0940941,
        0.128842,
        0.184771,
        0.221117,
        0.156827,
        0.111524,
        0.0845995,
        0.0684993,
        0.0575626,
        0.0497836,
        0.0447738,
        0.0411656,
        0.0382928,
        0.0362827,
        0.0345405,
        0.0332798,
        0.0324715,
        0.0314289,
        0.0304269,
        0.0298054,
        0.0290466,
        0.0284995,
        0.0280551,
        0.0275328,
        0.027278,
        0.0270173,
        0.0268758,
        0.0270249,
        0.0269376,
        0.0266265,
        0.0265023,
        0.026306,
        0.0260517,
        0.0259133,
        0.0258563,
        0.0256915,
        0.025582,
        0.0254423,
        0.0252918,
        0.0251729,
        0.0250675,
        0.025055,
        0.0249891,
        0.0248334,
        0.0245606,
        0.0244287,
        0.0243803,
        0.0242642,
        0.0241349,
        0.0240768,
        0.0240604,
        0.0240669,
        0.0239985,
        0.0237974,
        0.0236392,
        0.0236028,
        0.0236512,
        0.0237212,
        0.0237445,
        0.0236583,
        0.0236458,
        0.0237249,
        0.0237488,
        0.0236614,
        0.02384,
        0.0239644,
        0.0237713,
        0.0237941,
        0.0237917,
        0.0238116,
        0.0238593,
        0.0238566,
        0.0239429,
        0.0239371,
        0.0239404,
        0.0239313,
        0.0239151,
        0.0239247,
        0.0238945,
        0.0241635,
        0.0242896,
        0.0240985,
        0.0240868,
        0.02381,
        0.023696,
        0.0258869,
        0.0260177,
        0.0237913,
        0.0237816,
        0.0237285,
        0.0235684,
        0.0238742,
        0.0255317,
        0.0250934,
        0.0232929,
        0.0232026,
        0.0252084,
        0.025153,
        0.0229749,
        0.0229332,
        0.022982,
        0.0228848,
        0.0228673,
        0.0229064,
        0.0230578,
        0.023049,
        0.0230711,
        0.0229571,
        0.0228702,
        0.0228263,
        0.0227951,
        0.0229,
        0.0229311,
        0.0230332,
        0.0230766,
        0.0232937,
        0.0234617,
        0.0236356,
        0.0238047,
        0.0239282,
        0.023969,
        0.0239726,
        0.0237383,
        0.0236871,
        0.0263883,
        0.0261981,
        0.0235244,
        0.023754,
        0.0239237,
        0.0240932,
        0.0243399,
        0.0247118,
        0.0249947,
        0.0250747,
        0.0269021,
        0.0266078,
        0.0246359,
        0.0263361,
        0.0261125,
        0.0254286,
        0.0250362,
        0.0229546,
        0.0228169,
        0.0227864,
        0.022818,
        0.0227202,
        0.0226177,
        0.022455,
        0.0224195,
        0.0223179,
        0.0223823,
        0.022412,
        0.0222857,
        0.0223192,
        0.0222514,
        0.0221868,
        0.0220859,
        0.022051,
        0.0219735,
        0.0219291,
        0.0219218,
        0.0220686,
        0.0242388,
        0.0236525,
        0.0217993,
        0.0217746,
        0.0217339,
        0.0217282,
        0.0218085,
        0.0217955,
        0.0217679,
        0.0227209,
        0.0229101,
        0.022067,
        0.0219247,
        0.0217953,
        0.0217257,
        0.0217986,
        0.0217627,
        0.0217809,
        0.0218879,
        0.0219777,
        0.0221155,
        0.0222238,
        0.0222198,
        0.0221975,
        0.0223552,
        0.024148,
        0.0242937,
        0.0228028,
        0.0226607,
        0.0225073,
        0.0224074,
        0.0223264,
        0.0222299,
        0.0221885,
        0.0221737,
        0.0222232,
        0.0221266,
        0.0220922,
        0.0221436,
        0.0219823,
        0.0219622,
        0.0220454,
        0.0220839,
        0.0221629,
        0.0221213,
        0.0220417,
        0.0221254,
        0.0220679,
        0.0217877,
        0.0216056,
        0.0215264,
        0.0214329,
        0.0214465,
        0.0219113,
        0.0221209,
        0.0223382,
        0.0225944,
        0.0221937,
        0.021687,
        0.0216627,
        0.0216676,
        0.0215356,
        0.0214697,
        0.0213667,
        0.0217735,
        0.0214141,
        0.0211726,
        0.0214011,
        0.0215753,
        0.0215937,
        0.0215089,
        0.0213284,
        0.021243,
        0.0212758,
        0.0213711,
        0.0214312,
        0.021495,
        0.0213998,
        0.0214475,
        0.0214566,
        0.0215958,
        0.0220555,
        0.0219999,
        0.0215101,
        0.0215036,
        0.0215292,
        0.0217834,
        0.0218935,
        0.0220074,
        0.0222009,
        0.0223312,
        0.022416,
        0.0231368,
        0.0233033,
        0.0229106,
        0.0227165,
        0.022401,
        0.0221622,
        0.0224439,
        0.0218735,
        0.0215593,
        0.0214645,
        0.0215507,
        0.0242151,
        0.0240486,
        0.0212863,
        0.021318,
        0.0226157,
        0.0227313,
        0.0217292,
        0.0221157,
        0.0221773,
        0.0218932,
        0.0214765,
        0.0212427,
        0.0212329,
        0.0212712,
        0.0216171,
        0.0216698,
        0.0212318,
        0.0212226,
        0.0211841,
        0.0215049,
        0.0217496,
        0.0218801,
        0.0220427,
        0.0236641,
        0.0228846,
        0.0216115,
        0.0214387,
        0.0212477,
        0.0211264,
        0.0215681,
        0.021888,
        0.0213748,
        0.0214379,
        0.0213421,
        0.0213382,
        0.021449,
        0.0216412,
        0.0217225,
        0.0218025,
        0.0216853,
        0.0216079,
        0.0234601,
        0.0236959,
        0.0219808,
        0.0221599,
        0.0220575,
        0.0219249,
        0.021481,
        0.0213155,
        0.0212146,
        0.0211357,
        0.0217902,
        0.0216636,
        0.02115,
        0.0211796,
        0.0212743,
        0.0213793,
        0.0213424,
        0.0210884,
        0.0209006,
        0.0208587,
        0.0208236,
        0.020854,
        0.0210978,
        0.0216044,
        0.0220281,
        0.0223883,
        0.0257745,
        0.0251376,
        0.0212437,
        0.0211819,
        0.0212659,
        0.0214858,
        0.0219687,
        0.0220715,
        0.0219784,
        0.0215413,
        0.0212485,
        0.0211268,
        0.0214219,
        0.0216521,
        0.0218625,
        0.0219272,
        0.0217334,
        0.0215983,
        0.0215667,
        0.021798,
        0.024582,
        0.0242206,
        0.0213654,
        0.0212115,
        0.0214722,
        0.0217297,
        0.021897,
        0.0219871,
        0.0221359,
        0.0219658,
        0.0217338,
        0.0215983,
        0.0228241,
        0.0225918,
        0.0219803,
        0.0221191,
        0.0223078,
        0.0222455,
        0.0220294,
        0.0219877,
        0.0219691,
        0.0219361,
        0.0219092,
        0.0217252,
        0.0216296,
        0.0219183,
        0.0218343,
        0.0217289,
        0.0221717,
        0.0226715,
        0.0229878,
        0.0234121,
        0.0232409,
        0.0224531,
        0.0219652,
        0.0218616,
        0.0220028,
        0.0225014,
        0.0230011,
        0.0231369,
        0.0229213,
        0.0223404,
        0.0219441,
        0.0218822,
        0.0218386,
        0.0219245,
        0.0221475,
        0.0227212,
        0.0230039,
        0.0229668,
        0.0233164,
        0.0236551,
        0.0239228,
        0.0241268,
        0.0245013,
        0.0253794,
        0.0265705,
        0.0283244,
        0.0301412,
        0.0319809,
        0.0350529,
        0.0366952,
        0.0374742,
        0.0408779,
        0.0447605,
        0.0489445,
        0.0550671,
        0.0649011,
        0.0820653,
        0.112965,
        0.165751,
        0.168465,
        0.112482,
        0.0835163,
        0.0660039,
        0.054736,
        0.0471886,
        0.0417709,
        0.0381027,
        0.035531,
        0.0334164,
        0.0311701,
        0.0299948,
        0.0292442,
        0.0289676,
        0.0287866,
        0.0283777,
        0.0280419,
        0.0281335,
        0.0271534,
        0.0248322,
        0.0236524,
        0.0229884,
        0.0226795,
        0.0229762,
        0.0231812,
        0.0230187,
        0.0224909,
        0.0219765,
        0.0218763,
        0.0220704,
        0.022345,
        0.0227851,
        0.0231614,
        0.0231696,
        0.0225911,
        0.0218981,
        0.021404,
        0.0211963,
        0.020958,
        0.0206897,
        0.0209411,
        0.0211353,
        0.0216499,
        0.0220058,
        0.0220704,
        0.0220781,
        0.0219364,
        0.0218357,
        0.0217219,
        0.0219231,
        0.0222902,
        0.0221631,
        0.0218075,
        0.0218393,
        0.0217904,
        0.0217881,
        0.0221677,
        0.022605,
        0.0235876,
        0.0236431,
        0.0225845,
        0.0225063,
        0.0227152,
        0.0235226,
        0.0243546,
        0.0250565,
        0.0268316,
        0.0260978,
        0.024639,
        0.0248863,
        0.0253571,
        0.0256088,
        0.0257106,
        0.0256828,
        0.025615,
        0.0254549,
        0.0250792,
        0.0249442,
        0.0245458,
        0.0238941,
        0.0231504,
        0.0223628,
        0.02156,
        0.0208623,
        0.0205915,
        0.0205866,
        0.0205996,
        0.0209578,
        0.0238027,
        0.0242003,
        0.0220082,
        0.0220886,
        0.0217097,
        0.0210003,
        0.020649,
        0.0208396,
        0.0207264,
        0.0207759,
        0.0208119,
        0.0209621,
        0.0208712,
        0.0210374,
        0.0220088,
        0.0221873,
        0.0228361,
        0.0231318,
        0.0214401,
        0.0209201,
        0.0210345,
        0.0215341,
        0.021991,
        0.0221191,
        0.0217364,
        0.0216053,
        0.0215386,
        0.0220282,
        0.0226886,
        0.0233534,
        0.0234503,
        0.0235687,
        0.0233215,
        0.0237841,
        0.0233802,
        0.0211551,
        0.0208632,
        0.0207803,
        0.0206676,
        0.0204761,
        0.0203784,
        0.0204144,
        0.0205301,
        0.0206829,
        0.0207202,
        0.0207491,
        0.0204927,
        0.020204,
        0.0200816,
        0.0200207,
        0.0198356,
        0.0202306,
        0.0201753,
        0.0199958,
        0.0202136,
        0.0208806,
        0.0213991,
        0.0217173,
        0.0217496,
        0.0216829,
        0.0215958,
        0.0216698,
        0.0217613,
        0.0216086,
        0.0217414,
        0.022477,
        0.0241836,
        0.0308161,
        0.0318763,
        0.0266498,
        0.0253174,
        0.0243592,
        0.0243477,
        0.0248698,
        0.0251635,
        0.0250662,
        0.0232002,
        0.0223621,
        0.0225344,
        0.0231438,
        0.0240875,
        0.0251541,
        0.0257624,
        0.0251766,
        0.0235988,
        0.0221677,
        0.0214974,
        0.02149,
        0.0214716,
        0.0212163,
        0.0211777,
        0.0212508,
        0.0212848,
        0.0214045,
        0.0217299,
        0.0220118,
        0.0223837,
        0.023312,
        0.0240831,
        0.0247132,
        0.025061,
        0.02465,
        0.0240443,
        0.023804,
        0.0241697,
        0.02487,
        0.025095,
        0.024829,
        0.0241209,
        0.0235787,
        0.0234267,
        0.0236708,
        0.0246207,
        0.0257085,
        0.0270568,
        0.0293495,
        0.0325323,
        0.0369584,
        0.0451889,
        0.0522633,
        0.0558027,
        0.0611038,
        0.0671708,
        0.0705058,
        0.0709891,
        0.0750874,
        0.0764268,
        0.0820584,
        0.0875002,
        0.0914449,
        0.0896403,
        0.0822297,
        0.0749181,
        0.0695343,
        0.0657851,
        0.063026,
        0.0611195,
        0.0596425,
        0.0585383,
        0.0575139,
        0.0568044,
        0.0591021,
        0.0621267,
        0.0616447,
        0.0599897,
        0.0574701,
        0.0585195,
        0.0589922,
        0.0624281,
        0.0601724,
        0.0560037,
        0.0461497,
        0.0448403,
        0.0446423,
        0.044347,
        0.0450965,
        0.045098,
        0.0445176,
        0.0451933,
        0.0443326,
        0.042562,
        0.0400363,
        0.0378187,
        0.0380162,
        0.0385524,
        0.0381759,
        0.0408618,
        0.0442863,
        0.0456835,
        0.0434262,
        0.0405221,
        0.0379435,
        0.0356907,
        0.0353282,
        0.0336539,
        0.031108,
        0.0300786,
        0.0295233,
        0.0291415,
        0.0330664,
        0.0332299,
        0.029509,
        0.0303377,
        0.031495,
        0.0330467,
        0.0346589,
        0.035401,
        0.0353399,
        0.0344529,
        0.0334611,
        0.0332754,
        0.0343964,
        0.0357661,
        0.0366317,
        0.0365415,
        0.0348958,
        0.0319866,
        0.0294469,
        0.0282375,
        0.0279461,
        0.0278405,
        0.0273717,
        0.0267424,
        0.026068,
        0.0257003,
        0.0256976,
        0.0258386,
        0.0257807,
        0.0257653,
        0.0258196,
        0.0261274,
        0.0266543,
        0.0264016,
        0.0257613,
        0.025692,
        0.0263738,
        0.0271993,
        0.0274342,
        0.0267209,
        0.025336,
        0.0243137,
        0.0242772,
        0.0249488,
        0.0285592,
        0.0294239,
        0.0280505,
        0.0277892,
        0.0264105,
        0.0250282,
        0.0241863,
        0.0236399,
        0.0252771,
        0.0267277,
        0.0253893,
        0.0259974,
        0.0264382,
        0.0265149,
        0.0263268,
        0.025858,
        0.0249752,
        0.0235875,
        0.0226971,
        0.02288,
        0.0237418,
        0.0249433,
        0.0263171,
        0.026186,
        0.0252116,
        0.0239522,
        0.0228544,
        0.0223078,
        0.0222936,
        0.0224418,
        0.0223927,
        0.0222845,
        0.0220209,
        0.02172,
        0.021979,
        0.022806,
        0.0244609,
        0.0269956,
        0.0299878,
        0.0322649,
        0.0325283,
        0.030859,
        0.0286999,
        0.0275777,
        0.0284377,
        0.0294459,
        0.0310475,
        0.0318755,
        0.030185,
        0.0269909,
        0.0241862,
        0.0227723,
        0.022119,
        0.0217624,
        0.02175,
        0.0219227,
        0.0226302,
        0.0237861,
        0.0257214,
        0.0275108,
        0.0275626,
        0.0258773,
        0.0236952,
        0.0227061,
        0.0229427,
        0.0232241,
        0.0255101,
        0.0251875,
        0.0227708,
        0.0220229,
        0.0220108,
        0.0220967,
        0.0223653,
        0.0229773,
        0.0242057,
        0.0274936,
        0.0287584,
        0.0267981,
        0.0253857,
        0.0230977,
        0.0216672,
        0.0210114,
        0.0209498,
        0.0208892,
        0.0210913,
        0.0212324,
        0.0217225,
        0.0219774,
        0.0226984,
        0.0239811,
        0.0264063,
        0.0296559,
        0.0321396,
        0.0313918,
        0.0279959,
        0.0246997,
        0.0232804,
        0.0227603,
        0.022632,
        0.0225888,
        0.0228095,
        0.022853,
        0.0233892,
        0.027805,
        0.0291773,
        0.0262199,
        0.0283134,
        0.0291622,
        0.0292671,
        0.0300516,
        0.0316154,
        0.0345696,
        0.0375163,
        0.037851,
        0.0362179,
        0.034201,
        0.0355493,
        0.0383477,
        0.0427474,
        0.0516932,
        0.0578027,
        0.0568513,
        0.0577166,
        0.0633929,
        0.0755787,
        0.0971444,
        0.136433,
        0.211924,
        0.186881,
        0.123619,
        0.0895907,
        0.0697843,
        0.0575662,
        0.0494194,
        0.0440194,
        0.0409296,
        0.0394815,
        0.0405008,
        0.0408811,
        0.0411542,
        0.0374757,
        0.0331888,
        0.0298525,
        0.0283665,
        0.0276707,
        0.0279042,
        0.0290456,
        0.0304058,
        0.0316736,
        0.0320023,
        0.0315428,
        0.031867,
        0.0330302,
        0.0335767,
        0.0331386,
        0.0319297,
        0.0305107,
        0.0294983,
        0.0299054,
        0.0313502,
        0.033053,
        0.0317824,
        0.0289499,
        0.0259879,
        0.0243148,
        0.023664,
        0.0233009,
        0.0228673,
        0.0227996,
        0.0227727,
        0.0224989,
        0.022452,
        0.0224608,
        0.0224518,
        0.0223177,
        0.0226551,
        0.0222811,
        0.0218218,
        0.0218171,
        0.0219146,
        0.0220685,
        0.0223455,
        0.0231925,
        0.0244352,
        0.0263364,
        0.0281986,
        0.0312746,
        0.0305256,
        0.0275648,
        0.0277625,
        0.028667,
        0.0285235,
        0.0263298,
        0.0237762,
        0.0223157,
        0.0218452,
        0.0217621,
        0.0221252,
        0.0230326,
        0.0251343,
        0.0289764,
        0.0360094,
        0.0481881,
        0.0513996,
        0.0409637,
        0.0373185,
        0.0343622,
        0.0313765,
        0.0301216,
        0.031388,
        0.035719,
        0.0358576,
        0.0338956,
        0.0318611,
        0.0289,
        0.0256758,
        0.0233734,
        0.0224764,
        0.0221681,
        0.022041,
        0.0220876,
        0.0219451,
        0.0218578,
        0.0216361,
        0.0215895,
        0.0216693,
        0.0214837,
        0.0214241,
        0.0214064,
        0.021483,
        0.022261,
        0.0226597,
        0.0212486,
        0.0213844,
        0.0213532,
        0.0212662,
        0.0212879,
        0.0215404,
        0.02217,
        0.0236917,
        0.0255457,
        0.027155,
        0.0277247,
        0.0263318,
        0.0237934,
        0.0220204,
        0.0212905,
        0.0210351,
        0.0213236,
        0.0216864,
        0.0235595,
        0.025238,
        0.0232741,
        0.024515,
        0.0271497,
        0.0321078,
        0.0375367,
        0.0414772,
        0.0430953,
        0.0393504,
        0.0324177,
        0.0282275,
        0.024802,
        0.0250587,
        0.0236124,
        0.0217314,
        0.0211779,
        0.0209698,
        0.0211918,
        0.0215651,
        0.0213469,
        0.0212209,
        0.0213469,
        0.0210699,
        0.0207856,
        0.0206185,
        0.0206525,
        0.0205895,
        0.0207456,
        0.0208501,
        0.0209468,
        0.0210078,
        0.0210578,
        0.0243987,
        0.0232284,
        0.0215122,
        0.0218649,
        0.022135,
        0.0230354,
        0.0251454,
        0.0288173,
        0.034247,
        0.0388749,
        0.0394453,
        0.0355449,
        0.0301008,
        0.0271657,
        0.0268232,
        0.0283769,
        0.0311817,
        0.0339298,
        0.0371336,
        0.0336265,
        0.0277888,
        0.0258131,
        0.0243741,
        0.0238948,
        0.024325,
        0.0259806,
        0.0294066,
        0.0345826,
        0.0402573,
        0.0430303,
        0.0407276,
        0.0362048,
        0.0338377,
        0.033041,
        0.0321888,
        0.0296551,
        0.0274712,
        0.0271957,
        0.0284586,
        0.0296761,
        0.029435,
        0.0274092,
        0.0251832,
        0.0246984,
        0.0258024,
        0.0282178,
        0.0307184,
        0.0318029,
        0.030695,
        0.0278915,
        0.0259037,
        0.0255826,
        0.0280129,
        0.0288431,
        0.0261571,
        0.0256353,
        0.024853,
        0.0241698,
        0.0235507,
        0.023271,
        0.0230028,
        0.0227866,
        0.0226946,
        0.0228396,
        0.0242666,
        0.024248,
        0.0224697,
        0.0222273,
        0.02218,
        0.0222596,
        0.0223391,
        0.0255983,
        0.0262786,
        0.0241013,
        0.023686,
        0.0232082,
        0.0229689,
        0.0228911,
        0.0225175,
        0.022903,
        0.0238051,
        0.0255236,
        0.0280576,
        0.0308277,
        0.0329495,
        0.032779,
        0.0321238,
        0.0303469,
        0.0266722,
        0.0247009,
        0.0236937,
        0.0237592,
        0.0249238,
        0.027095,
        0.0294978,
        0.0311474,
        0.0303633,
        0.0283357,
        0.0273461,
        0.029387,
        0.0342899,
        0.0407658,
        0.0450206,
        0.0425166,
        0.0356545,
        0.0296152,
        0.0259671,
        0.0241931,
        0.0235278,
        0.0231298,
        0.0236303,
        0.0237398,
        0.0228277,
        0.0228816,
        0.0229135,
        0.0230509,
        0.0231931,
        0.0232456,
        0.023634,
        0.0239783,
        0.0241466,
        0.0247679,
        0.0257478,
        0.0276292,
        0.0308043,
        0.0364376,
        0.0431168,
        0.047338,
        0.0437473,
        0.0373146,
        0.0325969,
        0.0304776,
        0.029373,
        0.0297526,
        0.0317061,
        0.0349731,
        0.039945,
        0.0448875,
        0.0487354,
        0.0514478,
        0.0557203,
        0.0609389,
        0.0581719,
        0.0527172,
        0.048098,
        0.0444152,
        0.0428058,
        0.0397747,
        0.0369518,
        0.03609,
        0.0367462,
        0.0385683,
        0.040189,
        0.0423924,
        0.0457084,
        0.0499629,
        0.0558299,
        0.0661785,
        0.0810752,
        0.106522,
        0.119514,
        0.123897,
        0.139571,
        0.169128,
        0.210642,
        0.252871,
        0.267867,
        0.189629,
        0.154499,
        0.124507,
        0.102832,
        0.0870622,
        0.0743036,
        0.0649881,
        0.0580191,
        0.0522405,
        0.0476908,
        0.0438946,
        0.0412581,
        0.0389014,
        0.0370036,
        0.0356043,
        0.0349518,
        0.0344935,
        0.0347156,
        0.0363262,
        0.0369421,
        0.0336593,
        0.0317464,
        0.0326033,
        0.0314713,
        0.0287855,
        0.0289118,
        0.0291898,
        0.0296946,
        0.0310388,
        0.0337878,
        0.0377394,
        0.0427856,
        0.0476012,
        0.0495457,
        0.0481703,
        0.0440814,
        0.0394496,
        0.0370084,
        0.0366772,
        0.0367659,
        0.0333832,
        0.0295674,
        0.0279945,
        0.0276182,
        0.027428,
        0.0307836,
        0.029938,
        0.0270656,
        0.0275488,
        0.0290298,
        0.0314496,
        0.034657,
        0.03692,
        0.0360254,
        0.0329002,
        0.0302961,
        0.0293084,
        0.0294889,
        0.0303513,
        0.0320252,
        0.033126,
        0.0341954,
        0.0358871,
        0.0377037,
        0.0406454,
        0.04485,
        0.0500382,
        0.0562977,
        0.0640535,
        0.0741199,
        0.083568,
        0.0916586,
        0.0938533,
        0.0886869,
        0.0803585,
        0.0812903,
        0.0793164,
        0.0926207,
        0.08908,
        0.0786982,
        0.0749238,
        0.0692793,
        0.0625951,
        0.0602503,
        0.0607533,
        0.0596893,
        0.0602461,
        0.0573187,
        0.0439412,
        0.0398047,
        0.0382793,
        0.0384281,
        0.038206,
        0.0373766,
        0.035995,
        0.033318,
        0.0309325,
        0.0294863,
        0.0296594,
        0.0314264,
        0.0338015,
        0.035949,
        0.0360721,
        0.0337352,
        0.0308326,
        0.0290017,
        0.0283045,
        0.0279873,
        0.0276283,
        0.0274881,
        0.0272635,
        0.0272327,
        0.0274623,
        0.0280928,
        0.028955,
        0.0299837,
        0.0321877,
        0.0359405,
        0.039344,
        0.0410405,
        0.0397289,
        0.0361806,
        0.0340192,
        0.0337883,
        0.0344318,
        0.0358011,
        0.0378575,
        0.0400218,
        0.0430063,
        0.0466434,
        0.051871,
        0.0595057,
        0.0709842,
        0.0915792,
        0.127036,
        0.189913,
        0.202939,
        0.165019,
        0.136671,
        0.110315,
        0.0875364,
        0.0689066,
        0.061825,
        0.0585653,
        0.0563287,
        0.0540294,
        0.0518829,
        0.0517031,
        0.049359,
        0.0444783,
        0.0398975,
        0.0356328,
        0.0333368,
        0.0323495,
        0.0318394,
        0.0330242,
        0.0349355,
        0.0375623,
        0.0383934,
        0.0367558,
        0.0338406,
        0.0314757,
        0.0301071,
        0.02971,
        0.0291399,
        0.0285852,
        0.0279892,
        0.0275096,
        0.0273843,
        0.0273226,
        0.0273653,
        0.0278621,
        0.0289426,
        0.0343387,
        0.0384081,
        0.0396503,
        0.04557,
        0.0497774,
        0.0498375,
        0.0470755,
        0.0418713,
        0.0353146,
        0.0315099,
        0.0297702,
        0.0271652,
        0.0267002,
        0.0267313,
        0.0268207,
        0.026803,
        0.0269176,
        0.0271969,
        0.0298743,
        0.0307949,
        0.0297774,
        0.0312026,
        0.0313649,
        0.0313535,
        0.0315454,
        0.0308197,
        0.0346842,
        0.0355882,
        0.0336932,
        0.0390876,
        0.0508639,
        0.0619201,
        0.063467,
        0.0621447,
        0.0593135,
        0.0627296,
        0.0708331,
        0.0876931,
        0.0844001,
        0.0647107,
        0.0535107,
        0.0449741,
        0.0387717,
        0.033881,
        0.0308345,
        0.0294123,
        0.0291279,
        0.0295887,
        0.0303236,
        0.0316625,
        0.0341362,
        0.0368395,
        0.0389898,
        0.0374202,
        0.0341747,
        0.0319485,
        0.0311753,
        0.0320592,
        0.0325721,
        0.0330234,
        0.0321191,
        0.0316452,
        0.0317161,
        0.0318445,
        0.0320729,
        0.0338975,
        0.0331837,
        0.031814,
        0.0323163,
        0.0340216,
        0.0375076,
        0.0424901,
        0.0481238,
        0.0526835,
        0.0513603,
        0.0464782,
        0.0424789,
        0.0396938,
        0.0374184,
        0.0357326,
        0.0347108,
        0.0352336,
        0.0379691,
        0.0412464,
        0.0448899,
        0.0467165,
        0.0429643,
        0.0384416,
        0.0347384,
        0.0336917,
        0.0334351,
        0.0331892,
        0.031978,
        0.0310765,
        0.0315553,
        0.0340872,
        0.0378137,
        0.0424166,
        0.0474537,
        0.0471468,
        0.0439015,
        0.0431899,
        0.0428816,
        0.0411392,
        0.0402381,
        0.0398034,
        0.0405805,
        0.0435255,
        0.0463187,
        0.0469129,
        0.0440937,
        0.0398386,
        0.0366129,
        0.0344066,
        0.0356068,
        0.0330749,
        0.0314713,
        0.0318103,
        0.0332974,
        0.0358602,
        0.0389129,
        0.0416147,
        0.0423496,
        0.0419085,
        0.0422131,
        0.0451028,
        0.0467654,
        0.043888,
        0.0372671,
        0.032279,
        0.0296589,
        0.0282606,
        0.0273756,
        0.0270721,
        0.0275262,
        0.0280782,
        0.0280173,
        0.0278543,
        0.0279693,
        0.0278007,
        0.0292765,
        0.0320474,
        0.0355427,
        0.0423902,
        0.0422001,
        0.0343375,
        0.0306493,
        0.0287571,
        0.0279821,
        0.0280974,
        0.0281264,
        0.0282199,
        0.0279625,
        0.0272252,
        0.0274382,
        0.0279116,
        0.0292726,
        0.0310963,
        0.0327952,
        0.0326061,
        0.0323523,
        0.0316079,
        0.031022,
        0.0313546,
        0.0348998,
        0.0372762,
        0.0393826,
        0.0444904,
        0.0513405,
        0.0545885,
        0.0512072,
        0.046659,
        0.0434284,
        0.0422918,
        0.0455978,
        0.0538317,
        0.068407,
        0.0803134,
        0.0804642,
        0.0680373,
        0.0528098,
        0.0415686,
        0.0360272,
        0.0335089,
        0.0320533,
        0.0311537,
        0.0304629,
        0.0305641,
        0.0311154,
        0.0328425,
        0.03623,
        0.0415234,
        0.048428,
        0.0539561,
        0.0550643,
        0.0537825,
        0.0498548,
        0.043156,
        0.0374182,
        0.0348212,
        0.0338746,
        0.0346496,
        0.0339461,
        0.0331346,
        0.0332831,
        0.0335007,
        0.0337514,
        0.0340586,
        0.034365,
        0.0363475,
        0.0384001,
        0.0412121,
        0.0475076,
        0.0539565,
        0.0599046,
        0.0701921,
        0.069739,
        0.0508088,
        0.0442151,
        0.0386897,
        0.0344868,
        0.0328241,
        0.0320086,
        0.0318264,
        0.0319669,
        0.0322696,
        0.0327761,
        0.0342045,
        0.0355961,
        0.0367999,
        0.0378477,
        0.0373259,
        0.0362918,
        0.0365668,
        0.0372353,
        0.0391212,
        0.0418039,
        0.0408488,
        0.0413931,
        0.0439794,
        0.0474637,
        0.0519592,
        0.0551575,
        0.0558488,
        0.056667,
        0.0595856,
        0.0671774,
        0.0812066,
        0.100567,
        0.125979,
        0.141736,
        0.140414,
        0.133428,
        0.134907,
        0.139095,
        0.135015,
        0.117442,
        0.0935075,
        0.0755835,
        0.0669771,
        0.0614941,
        0.0588539,
        0.0587436,
        0.062003,
        0.0672094,
        0.0716726,
        0.0717665,
        0.0648075,
        0.0556459,
        0.0496992,
        0.0488515,
        0.0457723,
        0.0411544,
        0.0392438,
        0.0376706,
        0.0365782,
        0.0354201,
        0.0345109,
        0.0336217,
        0.0332608,
        0.0333901,
        0.0335875,
        0.0335361,
        0.0332001,
        0.0321955,
        0.0317498,
        0.0317082,
        0.0320835,
        0.0334741,
        0.0360399,
        0.0398165,
        0.0440568,
        0.0450205,
        0.042466,
        0.0376124,
        0.0342011,
        0.0331736,
        0.033249,
        0.0336373,
        0.0346793,
        0.0365169,
        0.038643,
        0.0397275,
        0.0392665,
        0.0374152,
        0.0355015,
        0.0342203,
        0.0328012,
        0.0321865,
        0.0319063,
        0.0329206,
        0.0365243,
        0.0419754,
        0.0469166,
        0.0524778,
        0.0527684,
        0.0462344,
        0.0387363,
        0.0347309,
        0.0330086,
        0.0334824,
        0.0348745,
        0.0373322,
        0.0395883,
        0.0403427,
        0.038644,
        0.0363972,
        0.037383,
        0.0429877,
        0.0513589,
        0.0657391,
        0.0767946,
        0.072602,
        0.0569689,
        0.043532,
        0.0368441,
        0.0342758,
        0.0337338,
        0.0356057,
        0.0389592,
        0.0419962,
        0.0443644,
        0.0417733,
        0.0370858,
        0.0335948,
        0.0321631,
        0.0319558,
        0.0325449,
        0.0342797,
        0.0382734,
        0.0441985,
        0.0505152,
        0.0539193,
        0.0486974,
        0.0417559,
        0.0373612,
        0.0355452,
        0.0364341,
        0.0395096,
        0.044987,
        0.0513198,
        0.0538207,
        0.0502178,
        0.0435787,
        0.0415028,
        0.0404801,
        0.0400663,
        0.0429233,
        0.0467914,
        0.0491869,
        0.0464798,
        0.0405582,
        0.0361106,
        0.0339801,
        0.0339115,
        0.0345948,
        0.036138,
        0.0379929,
        0.0396613,
        0.0397579,
        0.0383268,
        0.0364777,
        0.0346169,
        0.0333355,
        0.0323155,
        0.0347432,
        0.0358299,
        0.0345675,
        0.0368846,
        0.0391447,
        0.0403478,
        0.0396698,
        0.0399561,
        0.0433084,
        0.0492484,
        0.0557068,
        0.0567792,
        0.0500314,
        0.0469145,
        0.0466845,
        0.0440167,
        0.0403804,
        0.0373443,
        0.0361766,
        0.0382005,
        0.0440812,
        0.0513974,
        0.050241,
        0.0505251,
        0.0453557,
        0.0409755,
        0.0380215,
        0.0362596,
        0.0361237,
        0.0363699,
        0.0375401,
        0.0407497,
        0.0450252,
        0.0492413,
        0.0503215,
        0.0469871,
        0.0419243,
        0.0386694,
        0.037325,
        0.0370677,
        0.0376045,
        0.0381045,
        0.0388336,
        0.0396833,
        0.0412734,
        0.0422824,
        0.044594,
        0.0468313,
        0.0498799,
        0.0559862,
        0.0585341,
        0.0590363,
        0.0611925,
        0.065157,
        0.0731719,
        0.0829294,
        0.0984106,
        0.121963,
        0.158989,
        0.216812,
        0.214536,
        0.181916,
        0.153682,
        0.136933,
        0.114193,
        0.10243,
        0.0897734,
        0.0826839,
        0.0752494,
        0.0682581,
        0.0673421,
        0.0670371,
        0.067093,
        0.0655088,
        0.0658771,
        0.0687831,
        0.0687712,
        0.0622576,
        0.047892,
        0.0504775,
        0.05084,
        0.047989,
        0.0434015,
        0.0404369,
        0.0391666,
        0.0386105,
        0.0384514,
        0.0388096,
        0.0401749,
        0.0425625,
        0.0464743,
        0.0522398,
        0.0590598,
        0.0626511,
        0.0602127,
        0.0536059,
        0.049551,
        0.0499276,
        0.0575906,
        0.0725612,
        0.0963669,
        0.112412,
        0.098774,
        0.0726145,
        0.0551853,
        0.0473755,
        0.0449722,
        0.04357,
        0.0425217,
        0.0411293,
        0.0399638,
        0.0389588,
        0.0375304,
        0.0368277,
        0.0366035,
        0.0363729,
        0.0367069,
        0.0372424,
        0.0380119,
        0.0380802,
        0.0378468,
        0.0375942,
        0.0373691,
        0.0366424,
        0.0363685,
        0.0362565,
        0.0357834,
        0.036092,
        0.0373941,
        0.0395924,
        0.0439706,
        0.049938,
        0.0586563,
        0.0663868,
        0.0694315,
        0.0684455,
        0.0680989,
        0.0600335,
        0.0494448,
        0.0430311,
        0.0409283,
        0.0396776,
        0.0368822,
        0.0371914,
        0.039032,
        0.042682,
        0.0523221,
        0.0603077,
        0.0696789,
        0.0725426,
        0.0628392,
        0.0516996,
        null,
        0.0327085,
        0.0316606,
        0.0308993,
        0.0301055,
        0.029608,
        0.0294297,
        0.0290796,
        0.0285532,
        0.0283333,
        0.0285791,
        0.0284894,
        0.0284166,
        0.0293505,
        0.0310789,
        0.0344051,
        0.0384907,
        0.0409359,
        0.039337,
        0.0351091,
        0.0321022,
        0.0312963,
        0.031491,
        0.0319704,
        0.0319692,
        0.030955,
        0.0294845,
        0.0286545,
        0.0291203,
        0.0293839,
        0.0288031,
        0.0284511,
        0.0283302,
        0.0289207,
        0.0307396,
        0.0345261,
        0.0407063,
        0.0471541,
        0.0545691,
        0.047758,
        0.0353836,
        0.0310578,
        0.02928,
        0.0288742,
        0.0295492,
        0.0314043,
        0.0350095,
        0.0396682,
        0.0426485,
        0.0408421,
        0.0360978,
        0.0344418,
        0.0326792,
        0.0304569,
        0.0311025,
        0.0325466,
        0.0350725,
        0.0379677,
        0.0421444,
        0.0464613,
        0.0469861,
        0.0423832,
        0.0370287,
        0.034308,
        0.0336187,
        0.0339946,
        0.0349526,
        0.0363205,
        0.0388032,
        0.0422648,
        0.0462004,
        0.0492431,
        0.0500931,
        0.047827,
        0.0443723,
        0.041745,
        0.0403505,
        0.0408362,
        0.0450929,
        0.0491151,
        0.0505256,
        0.0484906,
        0.0431136,
        0.0392065,
        0.0381261,
        0.0388927,
        0.0400488,
        0.0413712,
        0.0424522,
        0.0435897,
        0.0457247,
        0.0491726,
        0.0529538,
        0.0555309,
        0.0555628,
        0.0548798,
        0.0575505,
        0.0631092,
        0.0680475,
        0.0668809,
        0.0591951,
        0.0510579,
        0.0431679,
        0.0373363,
        0.0350529,
        0.0337103,
        0.0333242,
        0.0343444,
        0.0373353,
        0.0427833,
        0.0481777,
        0.049541,
        0.0442452,
        0.0378626,
        0.0340513,
        0.0325921,
        0.0319333,
        0.0314215,
        0.0309453,
        0.0305232,
        0.0303479,
        0.0303559,
        0.0302672,
        0.0301093,
        0.0299584,
        0.0296418,
        0.0295579,
        0.0294474,
        0.029506,
        0.0297181,
        0.0300017,
        0.0307761,
        0.0319727,
        0.0344194,
        0.038581,
        0.0444432,
        0.049299,
        0.0487672,
        0.0430859,
        0.0368442,
        0.0333363,
        0.0322776,
        0.0319284,
        0.032298,
        0.0327714,
        0.0337563,
        0.034996,
        0.0365186,
        0.0384379,
        0.0407008,
        0.0431614,
        0.0458365,
        0.0493008,
        0.0548216,
        0.0632716,
        0.0762063,
        0.0965826,
        0.132178,
        0.19538,
        0.214461,
        0.152386,
        0.119914,
        0.103419,
        0.0948565,
        0.0870951,
        0.075347,
        0.0642958,
        0.0551698,
        0.0486872,
        0.0445016,
        0.0420581,
        0.0403527,
        0.0388226,
        0.0373829,
        0.0361279,
        0.0356362,
        0.0354685,
        0.0357444,
        0.0366931,
        0.0386522,
        0.0409017,
        0.0421872,
        0.0446096,
        0.0425396,
        0.0412542,
        0.0448935,
        0.0498046,
        0.0533797,
        0.0540277,
        0.0539242,
        0.0544001,
        0.0520649,
        0.0466856,
        0.0425347,
        0.0407592,
        0.0409866,
        0.0414232,
        0.042267,
        0.0435878,
        0.0448856,
        0.0466486,
        0.0487799,
        0.0517485,
        0.0563976,
        0.0635303,
        0.0732773,
        0.0852225,
        0.0984864,
        0.113753,
        0.133323,
        0.155395,
        0.174782,
        0.201828,
        0.253484,
        0.342569,
        0.225281,
        0.178631,
        0.152506,
        0.138971,
        0.12724,
        0.113915,
        0.0981846,
        0.0840509,
        0.0770021,
        0.0729034,
        0.0666632,
        0.0593618,
        0.0540607,
        0.0523623,
        0.0545513,
        0.0578082,
        0.0582536,
        0.0539582,
        0.0473853,
        0.0431249,
        0.0416945,
        0.0414735,
        0.0414597,
        0.0417871,
        0.0425786,
        0.0432048,
        0.043226,
        0.0429319,
        0.0424518,
        0.0429328,
        0.0453939,
        0.0491556,
        0.0519157,
        0.0516889,
        0.0478408,
        0.0443287,
        0.0433259,
        0.0438958,
        0.0447346,
        0.0456238,
        0.0472846,
        0.0498299,
        0.0534521,
        0.0586028,
        0.0656241,
        0.07575,
        0.0912056,
        0.115294,
        0.155679,
        0.221974,
        0.255362,
        0.185081,
        0.141944,
        0.113734,
        0.0938799,
        0.0761029,
        0.0607598,
        0.0535463,
        0.0492564,
        0.0470427,
        0.0445119,
        0.0414201,
        0.039699,
        0.0380543,
        0.0360682,
        0.0346391,
        0.0334288,
        0.0320007,
        0.0307041,
        0.0296787,
        0.0287687,
        0.0280894,
        0.0276294,
        0.0272117,
        0.0268171,
        0.0265193,
        0.0262939,
        0.0261494,
        0.02582,
        0.0256689,
        0.0257103,
        0.0256683,
        0.0256912,
        0.0258566,
        0.0262784,
        0.027133,
        0.0283262,
        0.0292238,
        0.0290716,
        0.027997,
        0.0269898,
        0.026857,
        0.0269636,
        0.0272886,
        0.0281583,
        0.0292312,
        0.0305162,
        0.0316963,
        0.0329219,
        0.0333074,
        0.032592,
        0.0311981,
        0.0299634,
        0.0290051,
        0.0283261,
        0.0276216,
        0.0278562,
        0.0284017,
        0.0292219,
        0.0319061,
        0.0358216,
        0.0389417,
        0.0396529,
        0.0377504,
        0.0348934,
        0.0317129,
        0.0289751,
        0.0271832,
        0.0260664,
        0.0251815,
        0.0245853,
        0.0241267,
        0.0255817,
        0.0254578,
        0.0236504,
        0.0233399,
        0.0230858,
        0.0230487,
        0.0229768,
        0.0229041,
        0.0228013,
        0.0229277,
        0.0229812,
        0.0229588,
        0.023227,
        0.0239859,
        0.024962,
        0.0258644,
        0.0258651,
        0.0248721,
        0.0239673,
        0.0235825,
        0.0235872,
        0.0235546,
        0.023409,
        0.0230861,
        0.023116,
        0.0232054,
        0.023307,
        0.0235739,
        0.0237968,
        0.0239644,
        0.0241713,
        0.0246768,
        0.0269192,
        0.0271197,
        0.0261701,
        0.026904,
        0.0277903,
        0.0289503,
        0.0304722,
        0.0325774,
        0.0352819,
        0.0385314,
        0.0413544,
        0.0432571,
        0.0424563,
        0.0397319,
        0.0366943,
        0.0339232,
        0.0316393,
        0.0299623,
        0.0294038,
        0.0299292,
        0.0310853,
        0.0320722,
        0.0324083,
        0.0316299,
        0.0309648,
        0.0311539,
        0.0339115,
        0.0317147,
        0.0262561,
        0.0242039,
        0.0234544,
        0.0229618,
        0.0227678,
        0.0227231,
        0.0226226,
        0.0226674,
        0.0226912,
        0.0226634,
        0.0223319,
        0.0221663,
        0.0222948,
        0.0225994,
        0.0231196,
        0.0240458,
        0.0250525,
        0.0253971,
        0.0247012,
        0.0236063,
        0.0227209,
        0.0223793,
        0.0222972,
        0.0224672,
        0.0225727,
        0.0225746,
        0.0244222,
        0.024576,
        0.0224975,
        0.0222944,
        0.0222753,
        0.0222671,
        0.0224282,
        0.0224795,
        0.0223717,
        0.0223629,
        0.0222784,
        0.0223151,
        0.0224223,
        0.0225255,
        0.0226345,
        0.0230065,
        0.0232213,
        0.0232478,
        0.0229444,
        0.0226882,
        0.0250948,
        0.0248937,
        0.0222812,
        0.0223024,
        0.0223573,
        0.0222819,
        0.0223873,
        0.0222879,
        0.0220472,
        0.0220888,
        0.0221115,
        0.0220959,
        0.0221359,
        0.0222851,
        0.0224489,
        0.0224297,
        0.0221349,
        0.0219378,
        0.0218261,
        0.0218205,
        0.0216734,
        0.0216083,
        0.021685,
        0.0216535,
        0.021515,
        0.021791,
        0.0222465,
        0.0219594,
        0.0212984,
        0.0212733,
        0.0212213,
        0.0210967,
        0.0210236,
        0.0210435,
        0.0212047,
        0.0212454,
        0.0214009,
        0.0234644,
        0.0228144,
        0.0218659,
        0.0222377,
        0.0227749,
        0.0234041,
        0.0246081,
        0.0258175,
        0.0266975,
        0.0276924,
        0.0284689,
        0.0289472,
        0.0295549,
        0.0297134,
        0.0330166,
        0.0311549,
        0.0253023,
        0.0240529,
        0.0232465,
        0.0228265,
        0.0224111,
        0.0221489,
        0.0220761,
        0.0221092,
        0.0218819,
        0.0217097,
        0.0215803,
        0.0215391,
        0.0213457,
        0.0213633,
        0.0213547,
        0.0220028,
        0.0219993,
        0.0211717,
        0.0209904,
        0.0209518,
        0.0209507,
        0.0210509,
        0.0229921,
        0.0227754,
        0.020752,
        0.0208256,
        0.0207473,
        0.0207445,
        0.0207392,
        0.02069,
        0.0207408,
        0.0208004,
        0.0207984,
        0.0209033,
        0.0210522,
        0.0212374,
        0.0215172,
        0.0217889,
        0.0222642,
        0.0259025,
        0.0261763,
        0.0227536,
        0.0227969,
        0.0230052,
        0.0232886,
        0.0234506,
        0.0238457,
        0.0244002,
        0.0250754,
        0.0257972,
        0.0267571,
        0.0279515,
        0.0295249,
        0.0316606,
        0.0342242,
        0.0376092,
        0.0411668,
        0.0440991,
        0.0443288,
        0.0416761,
        0.0390341,
        0.037027,
        0.0349987,
        0.0332753,
        0.0321231,
        0.0315891,
        0.0313602,
        0.0313777,
        0.0334977,
        0.0348599,
        0.0337241,
        0.0353295,
        0.0371236,
        0.0398242,
        0.0434667,
        0.0485043,
        0.0555845,
        0.0664023,
        0.0804305,
        0.0992717,
        0.131395,
        0.192636,
        0.219132,
        0.142011,
        0.0987463,
        0.0742656,
        0.0598484,
        0.050526,
        0.0442346,
        0.0396762,
        0.0364556,
        0.033825,
        0.0317907,
        0.0300164,
        0.0288394,
        0.0280191,
        0.0271305,
        0.0264521,
        0.0258388,
        0.0252727,
        0.0248388,
        0.0250189,
        0.0247157,
        0.0241813,
        0.0245004,
        0.0244606,
        0.0245881,
        0.0246941,
        0.0246389,
        0.0245443,
        0.0239022,
        0.0236295,
        0.0233814,
        0.0233275,
        0.0231772,
        0.022975,
        0.0228331,
        0.0227119,
        0.0245914,
        0.0246804,
        0.0230777,
        0.0230162,
        0.0228621,
        0.0224311,
        0.0219421,
        0.0217497,
        0.0215733,
        0.021473,
        0.0213997,
        0.0212875,
        0.0211998,
        0.0212246,
        0.0211807,
        0.0226128,
        0.0225218,
        0.020888,
        0.0209159,
        0.0210238,
        0.0209428,
        0.0209364,
        0.0210663,
        0.0213118,
        0.0214516,
        0.0217176,
        0.0218517,
        0.0222324,
        0.0251121,
        0.0244962,
        0.0210485,
        0.0209933,
        0.0208117,
        0.0208275,
        0.0208944,
        0.0209289,
        0.0216283,
        0.0248101,
        0.0235188,
        0.0215647,
        0.0218328,
        0.0221905,
        0.0226681,
        0.0233164,
        0.0248116,
        0.0267088,
        0.0289435,
        0.0311015,
        0.0319416,
        0.0311103,
        0.0296628,
        0.0280048,
        0.026415,
        0.0251151,
        0.0240068,
        0.0233582,
        0.0228888,
        0.022474,
        0.022249,
        0.0222178,
        0.0221848,
        0.0221947,
        0.0219729,
        0.0221035,
        0.0222025,
        0.0238488,
        0.0231987,
        0.0224524,
        0.0235639,
        0.0252561,
        0.0274847,
        0.029631,
        0.0307531,
        0.0300647,
        0.0290265,
        0.0286662,
        0.0281571,
        0.026535,
        0.0246159,
        0.0264401,
        0.026069,
        0.0237393,
        0.0249433,
        0.0263599,
        0.0269115,
        0.0266911,
        0.0258945,
        0.0254626,
        0.0253927,
        0.025324,
        0.0245618,
        0.0236295,
        0.0228472,
        0.0227355,
        0.0228349,
        0.0231945,
        0.0236413,
        0.0243798,
        0.025771,
        0.0284279,
        0.0321194,
        0.0358476,
        0.037906,
        0.0377667,
        0.0370054,
        0.0390504,
        0.0435973,
        0.0486565,
        0.052453,
        0.0515257,
        0.0463026,
        0.0400755,
        0.0360885,
        0.0342769,
        0.0336603,
        0.0341048,
        0.03661,
        0.035962,
        0.0303237,
        0.0272024,
        0.0251926,
        0.0244865,
        0.0245598,
        0.0288891,
        0.0309954,
        0.0294252,
        0.0300683,
        0.0285663,
        0.0272294,
        0.0246965,
        0.022813,
        0.0223875,
        0.0223413,
        0.0232651,
        0.0233453,
        0.023295,
        0.0244662,
        0.0258037,
        0.0266712,
        0.0272502,
        0.027712,
        0.0294033,
        0.0314087,
        0.0323246,
        0.0307633,
        0.027369,
        0.0245093,
        0.0234136,
        0.0249088,
        0.0272256,
        0.0279591,
        0.0307113,
        0.0313822,
        0.0291265,
        0.0255555,
        0.0233046,
        0.0222587,
        0.0221374,
        0.0225925,
        0.0237666,
        0.0255883,
        0.0273589,
        0.0280723,
        0.0271688,
        0.0258529,
        0.0249256,
        0.0246749,
        0.0241178,
        0.0230783,
        0.0224776,
        0.0233547,
        0.0246015,
        0.0254703,
        0.0265419,
        0.0264125,
        0.0248314,
        0.0231977,
        0.0222801,
        0.0218734,
        0.0219302,
        0.0219333,
        0.0225054,
        0.0234682,
        0.0255989,
        0.0269688,
        0.02731,
        0.0276996,
        0.0269143,
        0.0255292,
        0.0238839,
        0.0232297,
        0.023227,
        0.0240154,
        0.0243532,
        0.0248026,
        0.0269051,
        0.0295752,
        0.0327444,
        0.0340659,
        0.0327751,
        0.0309145,
        0.0294237,
        0.0281216,
        0.0266856,
        0.0260014,
        0.0270436,
        0.028892,
        0.0308685,
        0.0311231,
        0.0285988,
        0.0248211,
        0.0230364,
        0.0221693,
        0.0221108,
        0.0223704,
        0.0233682,
        0.0255427,
        0.0286472,
        0.0315205,
        0.0326579,
        0.0304344,
        0.027294,
        0.02568,
        0.0256736,
        0.0261044,
        0.0260944,
        0.0261864,
        0.0267938,
        0.0284041,
        0.0309952,
        0.0338923,
        0.0363649,
        0.0367694,
        0.0375064,
        0.0352409,
        0.0305771,
        0.0312335,
        0.0326469,
        0.0329693,
        0.0317095,
        0.0293085,
        0.0266852,
        0.0247448,
        0.0239604,
        0.0246083,
        0.0260791,
        0.0277848,
        0.0293598,
        0.030689,
        0.0311269,
        0.0288815,
        0.0263816,
        0.0249408,
        0.0242675,
        0.0241607,
        0.0247733,
        0.0257166,
        0.0260263,
        0.0255857,
        0.0250402,
        0.0255461,
        0.027979,
        0.0318249,
        0.0361412,
        0.0402382,
        0.0359192,
        0.0283384,
        0.0251616,
        0.0236998,
        0.0232142,
        0.02325,
        0.0242116,
        0.0259627,
        0.0288616,
        0.0316984,
        0.0334021,
        0.0327637,
        0.0306977,
        0.0297106,
        0.0302404,
        0.0313776,
        0.0329225,
        0.0340575,
        0.0342749,
        0.0343774,
        0.0361085,
        0.0401182,
        0.0452863,
        0.0481673,
        0.0459253,
        0.0402789,
        0.0349426,
        0.0311969,
        0.0290543,
        0.0278386,
        0.027072,
        0.0265073,
        0.0259471,
        0.0256964,
        0.026613,
        0.029143,
        0.032863,
        0.0364712,
        0.0362448,
        0.031857,
        0.0274184,
        0.0247631,
        0.0234421,
        0.0229665,
        0.0227056,
        0.0222236,
        0.0240496,
        0.0230824,
        0.0220949,
        0.0219486,
        0.0226318,
        0.0226723,
        0.0243351,
        0.0264774,
        0.027876,
        0.0285278,
        0.0280453,
        0.0275015,
        0.027656,
        0.0281934,
        0.0287623,
        0.0272065,
        0.0257084,
        0.0245756,
        0.0237122,
        0.0232866,
        0.0235114,
        0.0242142,
        0.0250125,
        0.0265059,
        0.0290889,
        0.0318587,
        0.0329624,
        0.0311919,
        0.0298425,
        0.0293134,
        0.0295756,
        0.0309099,
        0.0305536,
        0.0285484,
        0.0266102,
        0.0257816,
        0.0255765,
        0.0253314,
        0.0244196,
        0.0237929,
        0.0241246,
        0.0278315,
        0.0310565,
        0.0325845,
        0.0353139,
        0.0358559,
        0.0341041,
        0.0320934,
        0.0305253,
        0.0294714,
        0.0283278,
        0.0268155,
        0.0254676,
        0.0247437,
        0.0247556,
        0.0258746,
        0.0276373,
        0.0298837,
        0.0318169,
        0.0321027,
        0.0303202,
        0.0282864,
        0.0290304,
        0.0289884,
        0.0246456,
        0.0250215,
        0.0259604,
        0.0272472,
        0.0281341,
        0.0279188,
        0.0273019,
        0.0273068,
        0.0279438,
        0.0290021,
        0.0295692,
        0.0292207,
        0.0275114,
        0.0260312,
        0.0250762,
        0.0248496,
        0.0247226,
        0.0245244,
        0.0246821,
        0.0250752,
        0.0255108,
        0.0264322,
        0.027798,
        0.0293677,
        0.0313598,
        0.0339445,
        0.0365108,
        0.0391639,
        0.0402023,
        0.0416635,
        0.0395034,
        0.0378895,
        0.036425,
        0.0364284,
        0.0385608,
        0.0417187,
        0.049603,
        0.0562453,
        0.0601905,
        0.0686015,
        0.0764354,
        0.0835876,
        0.0889276,
        0.0949597,
        0.101303,
        0.1056,
        0.105409,
        0.10432,
        0.102033,
        0.101333,
        0.107906,
        0.125095,
        0.157667,
        0.20938,
        0.150987,
        0.114735,
        0.0944386,
        0.0860126,
        0.0835757,
        0.0809466,
        0.0741712,
        0.0648383,
        0.0563626,
        0.0512162,
        0.0464588,
        0.0411617,
        0.0374602,
        0.0360042,
        0.0357463,
        0.0360183,
        0.0363973,
        0.036537,
        0.0364963,
        0.0377813,
        0.042485,
        0.0477656,
        0.0525266,
        0.0531395,
        0.0503929,
        0.0482142,
        0.0482215,
        0.0512693,
        0.0527513,
        0.0499059,
        0.0488952,
        0.046817,
        0.0437337,
        0.0416717,
        0.0388294,
        0.0368593,
        0.0355718,
        0.0351839,
        0.0347764,
        0.0342323,
        0.0325191,
        0.0303096,
        0.0294892,
        0.0295775,
        0.0294055,
        0.0287182,
        0.027705,
        0.0287673,
        0.028562,
        0.0276865,
        0.0302179,
        0.0340269,
        0.0381884,
        0.040711,
        0.0397841,
        0.0369905,
        0.0354418,
        0.0337286,
        0.0308391,
        0.0295489,
        0.0289418,
        0.0280402,
        0.0269967,
        0.0259334,
        0.0251185,
        0.0252409,
        0.0257608,
        0.0247368,
        0.0249308,
        0.0256612,
        0.0267752,
        0.0281147,
        0.0296872,
        0.0308103,
        0.0313906,
        0.0309231,
        0.03038,
        0.0292354,
        0.0281347,
        0.0273337,
        0.0264209,
        0.0254783,
        0.0264252,
        0.026997,
        0.0271296,
        0.0277865,
        0.0279638,
        0.027365,
        0.0265147,
        0.0259482,
        0.0259248,
        0.0261941,
        0.0269759,
        0.0285021,
        0.03017,
        0.0309745,
        0.0309982,
        0.0309979,
        0.0323122,
        0.035636,
        0.0419043,
        0.0490754,
        0.0531088,
        0.050623,
        0.0460565,
        0.0435335,
        0.0437142,
        0.0448254,
        0.045278,
        0.0453288,
        0.0471393,
        0.049847,
        0.0533308,
        0.0586132,
        0.0665454,
        0.0771411,
        0.0928871,
        0.111536,
        0.130129,
        0.149843,
        0.168574,
        0.180566,
        0.177878,
        0.161234,
        0.140637,
        0.12073,
        0.102896,
        0.089984,
        0.0815405,
        0.0756154,
        0.0721833,
        0.0700471,
        0.0662171,
        0.0596217,
        0.0521687,
        0.046474,
        0.0428263,
        0.0400227,
        0.0386541,
        0.0383194,
        0.0383101,
        0.0378866,
        0.0366338,
        0.0345767,
        0.0331253,
        0.0311007,
        0.0299437,
        0.0292403,
        0.0287429,
        0.0284284,
        0.0284772,
        0.02845,
        0.0287223,
        0.0288033,
        0.0292547,
        0.030864,
        0.0336149,
        0.0373678,
        0.0409928,
        0.041913,
        0.0396391,
        0.0368127,
        0.0356529,
        0.0365846,
        0.0383365,
        0.0401265,
        0.0407372,
        0.0396924,
        0.0374945,
        0.0338225,
        0.031147,
        0.0304681,
        0.0310936,
        0.031179,
        0.0318926,
        0.0325661,
        0.0325668,
        0.0326932,
        0.0330855,
        0.0338502,
        0.035339,
        0.0370954,
        0.041602,
        0.0444707,
        0.0448582,
        0.0478013,
        0.0513057,
        0.0545156,
        0.0559936,
        0.0564054,
        0.0558562,
        0.0544782,
        0.0531035,
        0.0520605,
        0.0511837,
        0.0497466,
        0.0530283,
        0.0477384,
        0.0383043,
        0.0362234,
        0.0355915,
        0.0351717,
        0.0344017,
        0.033307,
        0.0320699,
        0.0306909,
        0.029516,
        0.0292558,
        0.0298371,
        0.0306613,
        0.0323173,
        0.0334136,
        0.0355688,
        0.0384653,
        0.0428309,
        0.0486452,
        0.0557173,
        0.0603695,
        0.0576211,
        0.0498541,
        0.0428395,
        0.0374886,
        0.0339919,
        0.0320878,
        0.0305616,
        0.029229,
        0.0277905,
        0.0267828,
        0.0262918,
        0.02616,
        0.0261513,
        0.0263287,
        0.0266468,
        0.0269592,
        0.0274306,
        0.0277413,
        0.0279503,
        0.0282444,
        0.0301729,
        0.0339759,
        0.0406239,
        0.0516489,
        0.0565614,
        0.05253,
        0.0461859,
        0.0396687,
        0.0348655,
        0.0312207,
        0.028461,
        0.0269721,
        0.0264956,
        0.0265262,
        0.0267826,
        0.0269969,
        0.0270997,
        0.026829,
        0.0262651,
        0.0255715,
        0.0251625,
        0.0252,
        0.0251869,
        0.0254403,
        0.0255748,
        0.0258616,
        0.0268968,
        0.0287067,
        0.0317669,
        0.0378148,
        0.0366031,
        0.0325235,
        0.0305802,
        0.0294851,
        0.0289834,
        0.0284111,
        0.0275623,
        0.0263542,
        0.0249611,
        0.0244493,
        0.0241698,
        0.0242504,
        0.0242486,
        0.0239538,
        0.0237756,
        0.0236479,
        0.0239907,
        0.0245364,
        0.0254296,
        0.0262849,
        0.027223,
        0.0274802,
        0.0276174,
        0.0269585,
        0.0258777,
        0.0280682,
        0.0265374,
        0.0247674,
        0.0251106,
        0.025253,
        0.0259009,
        0.0264538,
        0.027041,
        0.0282288,
        0.0303362,
        0.032481,
        0.0338968,
        0.0334783,
        0.0314281,
        0.0292401,
        0.0287955,
        0.0281039,
        0.0273564,
        0.0274019,
        0.0279942,
        0.0303224,
        0.0336151,
        0.0367422,
        0.0380042,
        0.0356618,
        0.0314013,
        0.0289029,
        0.0278545,
        0.0275203,
        0.0277539,
        0.0275466,
        0.0270536,
        0.0265573,
        0.0283191,
        0.0269053,
        0.0261567,
        0.0262814,
        0.0254271,
        0.0253619,
        0.026294,
        0.0275433,
        0.028819,
        0.0294936,
        0.0292428,
        0.0278989,
        0.0263582,
        0.0255833,
        0.025544,
        0.0256931,
        0.0259123,
        0.0264852,
        0.0268975,
        0.0274274,
        0.028257,
        0.029127,
        0.030942,
        0.0344204,
        0.0413584,
        0.048006,
        0.0522759,
        0.0513698,
        0.0450733,
        0.0392026,
        0.0350254,
        0.0323479,
        0.0339724,
        0.032915,
        0.0288667,
        0.0290194,
        0.027869,
        0.0272018,
        0.027151,
        0.0274625,
        0.0290029,
        0.0284669,
        0.0278083,
        0.0285074,
        0.0289292,
        0.0287931,
        0.0283329,
        0.027527,
        0.0275073,
        0.0285668,
        0.0326418,
        0.0384491,
        0.0394164,
        0.0431733,
        0.0426072,
        0.0384857,
        0.033354,
        0.029863,
        0.0279617,
        0.0272406,
        0.0271004,
        0.0270937,
        0.0280575,
        0.0286147,
        0.0279405,
        0.028104,
        0.0303977,
        0.0300263,
        0.0278798,
        0.0283319,
        0.0293665,
        0.0305313,
        0.0315137,
        0.0327303,
        0.0343634,
        0.0357707,
        0.0370689,
        0.0384129,
        0.0394709,
        0.0394273,
        0.039061,
        0.0380274,
        0.0361486,
        0.0333257,
        0.031389,
        0.0300325,
        0.0299813,
        0.029548,
        0.030038,
        0.0318494,
        0.0337655,
        0.035102,
        0.0361586,
        0.0336662,
        0.0299852,
        0.0281924,
        0.0281009,
        0.0278741,
        0.0273685,
        0.0277733,
        0.0281689,
        0.0278738,
        0.0280534,
        0.0287685,
        0.029032,
        0.0285413,
        0.0282093,
        0.028405,
        0.0292531,
        0.0305264,
        0.0328558,
        0.0369914,
        0.0410452,
        0.0444034,
        0.0452827,
        0.0418325,
        0.0365554,
        0.0319595,
        0.0302818,
        0.0303317,
        0.0306853,
        0.0312798,
        0.0311121,
        0.0302792,
        0.029743,
        0.029315,
        0.0295529,
        0.0297851,
        0.0302206,
        0.0304676,
        0.0301487,
        0.0301046,
        0.0299217,
        0.030347,
        0.0308424,
        0.0304818,
        0.0309892,
        0.032382,
        0.034545,
        0.0361883,
        0.0376571,
        0.0441443,
        0.0462407,
        0.0449335,
        0.0523006,
        0.0615587,
        0.0647109,
        0.0585724,
        0.0494281,
        0.0422271,
        0.0398151,
        0.040188,
        0.0420501,
        0.0450078,
        0.0483695,
        0.0516898,
        0.0557139,
        0.0606999,
        0.0690238,
        0.0827127,
        0.0992472,
        0.127714,
        0.178052,
        0.16242,
        0.119282,
        0.0927316,
        0.0766953,
        0.0656455,
        0.0571817,
        0.0526921,
        0.0505218,
        0.0477849,
        0.0431426,
        0.0404123,
        0.0386395,
        0.0370317,
        0.0359378,
        0.0347052,
        0.0344401,
        0.0338263,
        0.0326363,
        0.0321539,
        0.0325537,
        0.0325086,
        0.0317575,
        0.0317884,
        0.0321183,
        0.032636,
        0.0334997,
        0.0365999,
        0.0383541,
        0.0383888,
        0.0393871,
        0.0391483,
        0.0386681,
        0.0382036,
        0.0391797,
        0.041696,
        0.0447772,
        0.0449089,
        0.0407435,
        0.0382697,
        0.0360814,
        0.0346181,
        0.0369252,
        0.0416619,
        0.0477144,
        0.051034,
        0.049003,
        0.0434773,
        0.038839,
        0.0363465,
        0.0397461,
        0.0392099,
        0.0351147,
        0.0342507,
        0.0330592,
        0.031946,
        0.0314387,
        0.0309093,
        0.0307098,
        0.0309781,
        0.0310925,
        0.0312809,
        0.0313683,
        0.0304601,
        0.0297754,
        0.0293509,
        0.0292823,
        0.0290697,
        0.0292688,
        0.0290968,
        0.0292079,
        0.0294672,
        0.0293275,
        0.0295744,
        0.0294482,
        0.0296158,
        0.0296815,
        0.0299327,
        0.0300473,
        0.0301813,
        0.0307575,
        0.0316687,
        0.0340712,
        0.0379667,
        0.0438888,
        0.0508966,
        0.0563822,
        0.0573908,
        0.0519832,
        0.0437056,
        0.0385122,
        0.0366403,
        0.0364314,
        0.0370677,
        0.03946,
        0.0409305,
        0.0399443,
        0.0397182,
        0.0384064,
        0.036572,
        0.034978,
        0.0334317,
        0.0322074,
        0.0312427,
        0.030468,
        0.0298883,
        0.0295983,
        0.0290953,
        0.0288581,
        0.0293534,
        0.0290643,
        0.029471,
        0.030175,
        0.0312137,
        0.0336095,
        0.0368421,
        0.0407167,
        0.0412417,
        0.0382529,
        0.0338554,
        0.0309448,
        0.0300648,
        0.0295447,
        0.0294637,
        0.0295916,
        0.0301525,
        0.0308836,
        0.0338277,
        0.0355702,
        0.0308428,
        0.0331527,
        0.031958,
        0.0312064,
        0.0321661,
        0.0307962,
        0.0294485,
        0.0287825,
        0.029067,
        0.0292421,
        0.0298847,
        0.0301802,
        0.0299943,
        0.0308211,
        0.0317445,
        0.0333808,
        0.0348501,
        0.0372111,
        0.036381,
        0.0330144,
        0.0322807,
        0.0330916,
        0.0340644,
        0.0366558,
        0.0405716,
        0.043265,
        0.0432588,
        0.0392848,
        0.0347181,
        0.0318841,
        0.0307404,
        0.030343,
        0.0305618,
        0.030447,
        0.0316997,
        0.0330684,
        0.0365639,
        0.0344849,
        0.0331357,
        0.032564,
        0.0314887,
        0.0317513,
        0.0316571,
        0.0318763,
        0.0339069,
        0.038188,
        0.0427051,
        0.0466777,
        0.0454072,
        0.0399168,
        0.0348639,
        0.0320251,
        0.0310627,
        0.0309537,
        0.030751,
        0.0307426,
        0.0304942,
        0.0335574,
        0.0321174,
        0.0300179,
        0.0298545,
        0.030352,
        0.0303272,
        0.0328287,
        0.0330397,
        0.0306879,
        0.0314688,
        0.0319996,
        0.0325784,
        0.0323438,
        0.0323702,
        0.0332486,
        0.0359504,
        0.0387291,
        0.0412538,
        0.041683,
        0.0389017,
        0.0354352,
        0.033597,
        0.0347069,
        0.0329714,
        0.0321643,
        0.0331284,
        0.033991,
        0.0360893,
        0.0420318,
        0.0577922,
        0.0656299,
        0.064219,
        0.0624774,
        0.051404,
        0.0417098,
        0.036881,
        0.0338523,
        0.0321513,
        0.0311937,
        0.0310054,
        0.0313161,
        0.0317493,
        0.0330422,
        0.0336193,
        0.0326938,
        0.0323982,
        0.0320309,
        0.0325021,
        0.0341418,
        0.0371796,
        0.041851,
        0.047019,
        0.0487779,
        0.045392,
        0.040469,
        0.0367365,
        0.0361825,
        0.0368416,
        0.0379068,
        0.0381915,
        0.0378725,
        0.0369674,
        0.0360473,
        0.0354926,
        0.0345709,
        0.0380622,
        0.0378652,
        0.0329598,
        0.0326912,
        0.034684,
        0.0342008,
        0.032004,
        0.0319978,
        0.0326624,
        0.0337182,
        0.0352763,
        0.0380729,
        0.040482,
        0.0414674,
        0.0403122,
        0.0380269,
        0.036049,
        0.0351742,
        0.0348234,
        0.0350509,
        0.0355025,
        0.037285,
        0.040328,
        0.0450845,
        0.0500994,
        0.0511899,
        0.054116,
        0.0511537,
        0.047307,
        0.0528045,
        0.0586181,
        0.0582598,
        0.0528939,
        0.0460194,
        0.0430484,
        0.0424579,
        0.0428682,
        0.0437399,
        0.0440927,
        0.0431913,
        0.0424073,
        0.040566,
        0.0392106,
        0.0378069,
        0.0365451,
        0.0362021,
        0.0356774,
        0.0350618,
        0.0351362,
        0.034842,
        0.03499,
        0.0351185,
        0.0348363,
        0.0345452,
        0.0345066,
        0.0349705,
        0.0348361,
        0.034616,
        0.0349775,
        0.0357936,
        0.0364865,
        0.0371003,
        0.0374984,
        0.0374395,
        0.0396913,
        0.0414077,
        0.0389055,
        0.039603,
        0.0403976,
        0.0419407,
        0.0448644,
        0.0489649,
        0.0543834,
        0.0608932,
        0.0672773,
        0.0703342,
        0.0763204,
        0.0860344,
        0.0962442,
        0.0928472,
        0.0887974,
        0.0819438,
        0.0795893,
        0.0836435,
        0.0927062,
        0.102502,
        0.114913,
        0.132262,
        0.152368,
        0.183899,
        0.233527,
        0.225677,
        0.175415,
        0.145681,
        0.124103,
        0.110196,
        0.104489,
        0.104667,
        0.106097,
        0.104981,
        0.0921031,
        0.0772919,
        0.0715848,
        0.0651038,
        0.0543409,
        0.0510249,
        0.0490706,
        0.0477357,
        0.0463759,
        0.04482,
        0.0436753,
        0.0428925,
        0.0422661,
        0.0415348,
        0.0417066,
        0.0419568,
        0.0417743,
        0.041933,
        0.0414478,
        0.0413073,
        0.0421247,
        0.0437926,
        0.0462377,
        0.0488832,
        0.0519148,
        0.0459131,
        0.0420565,
        0.0397231,
        0.039082,
        0.0396176,
        0.0396145,
        0.0399222,
        0.0408189,
        0.0417106,
        0.0440359,
        0.0485213,
        0.0536773,
        0.057522,
        0.0570209,
        0.0519252,
        0.0463043,
        0.0427794,
        0.0415954,
        0.0418368,
        0.0414325,
        0.0412881,
        0.0410969,
        0.0403834,
        0.0406859,
        0.0409899,
        0.041143,
        0.0415225,
        0.0428282,
        0.0448383,
        0.0492986,
        0.0557409,
        0.0624204,
        0.0646559,
        0.0577855,
        0.0494229,
        0.043401,
        0.0408771,
        0.0393468,
        0.0386259,
        0.0379997,
        0.0379316,
        0.0377362,
        0.0378826,
        0.0372019,
        0.0368066,
        0.0367122,
        0.0370443,
        0.0366288,
        0.0371415,
        0.0369673,
        0.0372867,
        0.0373399,
        0.0377657,
        0.0383639,
        0.0389526,
        0.0393104,
        null,
        0.0351956,
        0.0341451,
        0.0334621,
        0.0332732,
        0.0325289,
        0.0321651,
        0.0321265,
        0.0321073,
        0.0323417,
        0.0324929,
        0.0325607,
        0.0325942,
        0.0326182,
        0.032904,
        0.0336805,
        0.0353059,
        0.0384155,
        0.0425924,
        0.0472328,
        0.0492713,
        0.0479235,
        0.0450361,
        0.0421237,
        0.0393111,
        0.0379133,
        0.0377717,
        0.0383852,
        0.039443,
        0.0411728,
        0.0429338,
        0.0449267,
        0.0476708,
        0.0509864,
        0.0555465,
        0.0614857,
        0.0698625,
        0.0860373,
        0.103613,
        0.125895,
        0.180851,
        0.270179,
        0.179075,
        0.136641,
        0.111871,
        0.0983821,
        0.0918282,
        0.0913205,
        0.0911843,
        0.08449,
        0.0712976,
        0.0584738,
        0.0504798,
        0.0459149,
        0.0428839,
        0.0433364,
        0.0443544,
        0.0400057,
        0.0385806,
        0.0397102,
        0.0413765,
        0.0428724,
        0.0417533,
        0.0380662,
        0.0350681,
        0.0337268,
        0.0332439,
        0.0325682,
        0.0319811,
        0.0314928,
        0.0310794,
        0.0309128,
        0.0306816,
        0.030835,
        0.0312056,
        0.0323099,
        0.0352504,
        0.0413043,
        0.0495868,
        0.0569148,
        0.055392,
        0.0456816,
        0.0369178,
        0.0327565,
        0.0308857,
        0.0299276,
        0.0292304,
        0.0296591,
        0.0294503,
        0.0284513,
        0.0285203,
        0.0285261,
        0.0285269,
        0.0285151,
        0.0283814,
        0.0280758,
        0.0280183,
        0.0282568,
        0.0284097,
        0.028537,
        0.0282068,
        0.0276454,
        0.0275605,
        0.0275286,
        0.0274999,
        0.0276816,
        0.0277978,
        0.0277481,
        0.0276421,
        0.0276079,
        0.0277804,
        0.0278562,
        0.0279067,
        0.0277401,
        0.0275609,
        0.0274802,
        0.0276763,
        0.0284424,
        0.0303718,
        0.0336377,
        0.0382673,
        0.040828,
        0.0384864,
        0.0340012,
        0.0306878,
        0.0297969,
        0.0313866,
        0.0350347,
        0.0404697,
        0.0450726,
        0.043794,
        0.0378863,
        0.0334466,
        0.0309602,
        0.0294399,
        0.0284997,
        0.028033,
        0.0275801,
        0.0273253,
        0.0297099,
        0.0294047,
        0.0265426,
        0.0265,
        0.0264442,
        0.0265992,
        0.0268433,
        0.0271208,
        0.0272114,
        0.027589,
        0.0280698,
        0.0286023,
        0.0291346,
        0.0302041,
        0.0311529,
        0.0323212,
        0.0330133,
        0.0334186,
        0.0348182,
        0.0377418,
        0.0413449,
        0.0435992,
        0.041281,
        0.0358545,
        0.0314439,
        0.0290809,
        0.0279892,
        0.0284636,
        0.0282678,
        0.0282733,
        0.0288915,
        0.0297161,
        0.0321052,
        0.0335143,
        0.0326673,
        0.0302334,
        0.0278528,
        0.0266505,
        0.0259817,
        0.0259147,
        0.025656,
        0.025473,
        0.0284872,
        0.0283469,
        0.0254654,
        0.0261965,
        0.0273616,
        0.028503,
        0.0287151,
        0.0284376,
        0.0284768,
        0.0302948,
        0.033645,
        0.0368494,
        0.0407226,
        0.0377032,
        0.0301688,
        0.0282934,
        0.0288655,
        0.0315116,
        0.0360779,
        0.0406591,
        0.041137,
        0.0365419,
        0.0311506,
        0.0281101,
        0.0271164,
        0.0266115,
        0.0263135,
        0.0262297,
        0.0261984,
        0.0263753,
        0.0266695,
        0.0269587,
        0.0273271,
        0.0277472,
        0.0281073,
        0.0285174,
        0.0287401,
        0.0289177,
        0.028808,
        0.028786,
        0.0294997,
        0.0293348,
        0.0276469,
        0.0277479,
        0.028005,
        0.0280485,
        0.0293389,
        0.0299568,
        0.0303009,
        0.032833,
        0.0360149,
        0.0397773,
        0.0419694,
        0.0417708,
        0.0410121,
        0.037627,
        0.0333585,
        0.0314542,
        0.0307152,
        0.0303416,
        0.0300232,
        0.0297029,
        0.0292433,
        0.0290097,
        0.0287743,
        0.0284152,
        0.0288535,
        0.0286999,
        0.0279405,
        0.0277871,
        0.0274222,
        0.0270004,
        0.0267007,
        0.0266424,
        0.0268413,
        0.0272408,
        0.0285942,
        0.0313197,
        0.0361142,
        0.0416793,
        0.0436598,
        0.040902,
        0.0356676,
        0.0328699,
        0.0320252,
        0.0322976,
        0.0326478,
        0.0331742,
        0.0347067,
        0.0373716,
        0.0411746,
        0.0453833,
        0.0463576,
        0.0420874,
        0.0372181,
        0.0355645,
        0.0375746,
        0.0457514,
        0.0489144,
        0.0427731,
        0.0380532,
        0.0348601,
        0.034641,
        0.0364846,
        0.0392636,
        0.040455,
        0.0390952,
        0.0361817,
        0.034207,
        0.0338414,
        0.0341284,
        0.0345485,
        0.0357153,
        0.0371999,
        0.0386483,
        0.0404318,
        0.0413294,
        0.0416491,
        0.0426383,
        0.0458617,
        0.0511841,
        0.0598416,
        0.074719,
        0.101366,
        0.149081,
        0.225389,
        0.171951,
        0.11548,
        0.0843225,
        0.0664547,
        0.0561086,
        0.0496009,
        0.0452343,
        0.0435506,
        0.0410671,
        0.0378385,
        0.0365848,
        0.0355161,
        0.0351835,
        0.0337279,
        0.0324153,
        0.0314957,
        0.0308151,
        0.030162,
        0.0297688,
        0.0294046,
        0.029435,
        0.0295855,
        0.0297592,
        0.0297142,
        0.0294261,
        0.0287587,
        0.0283699,
        0.0280414,
        0.0281008,
        0.0281469,
        0.0286881,
        0.0317851,
        0.0346539,
        0.0339434,
        0.0347964,
        0.0344085,
        0.0343772,
        0.0361075,
        0.0382622,
        0.0384738,
        0.0354545,
        0.0313932,
        0.0289184,
        0.0283057,
        0.0285756,
        0.0299178,
        0.0327074,
        0.0367618,
        0.0415175,
        0.0424405,
        0.0391131,
        0.0343438,
        0.0312876,
        0.0295745,
        0.0284365,
        0.0275737,
        0.0269918,
        0.0265407,
        0.026442,
        0.0265948,
        0.0269732,
        0.0274878,
        0.0281184,
        0.0286175,
        0.0290667,
        0.0291525,
        0.0290777,
        0.0288276,
        0.0284942,
        0.0284125,
        0.0284054,
        0.0285958,
        0.0290129,
        0.0298582,
        0.0311601,
        0.0327943,
        0.0342725,
        0.035063,
        0.0351995,
        0.0359673,
        0.0382277,
        0.0422952,
        0.0467979,
        0.0480923,
        0.0449656,
        0.0411549,
        0.0399151,
        0.0412044,
        0.0434067,
        0.0452901,
        0.0459725,
        0.0436767,
        0.0396931,
        0.0370839,
        0.0365505,
        0.0376047,
        0.0390649,
        0.039528,
        0.0393321,
        0.0390028,
        0.0393218,
        0.0390018,
        0.0382007,
        0.0370856,
        0.0363539,
        0.0364585,
        0.0372835,
        0.0386283,
        0.0403225,
        0.0418698,
        0.0424177,
        0.0422115,
        0.0426626,
        0.0453186,
        0.0510959,
        0.0604262,
        0.0715772,
        0.0788004,
        0.0785923,
        0.0724643,
        0.0621105,
        0.0534093,
        0.0494698,
        0.0520302,
        0.0542261,
        0.0510737,
        0.0538855,
        0.0558084,
        0.0562383,
        0.0563208,
        0.0565959,
        0.0582752,
        0.0611955,
        0.0649797,
        0.0692038,
        0.0717366,
        0.073476,
        0.0749236,
        0.0766251,
        0.0811651,
        0.0875803,
        0.0920574,
        0.0945712,
        0.097331,
        0.101874,
        0.108985,
        0.122106,
        0.138016,
        0.153434,
        0.17039,
        0.183029,
        0.188419,
        0.192509,
        0.199937,
        0.227271,
        0.182358,
        0.14629,
        0.11996,
        0.0978527,
        0.080243,
        0.0721297,
        0.0622423,
        0.0509303,
        0.0456112,
        0.0417019,
        0.0386697,
        0.0363127,
        0.0344806,
        0.032928,
        0.0321902,
        0.0314614,
        0.0308955,
        0.030486,
        0.0304685,
        0.0310824,
        0.0335947,
        0.0369112,
        0.0418149,
        0.043019,
        0.0378032,
        0.0322707,
        0.0284398,
        0.0266471,
        0.025819,
        0.0256663,
        0.0259123,
        0.0264507,
        0.0270522,
        0.0273663,
        0.0271044,
        0.0262272,
        0.0256782,
        0.0257211,
        0.0268447,
        0.0291866,
        0.0331005,
        0.0382624,
        0.0431389,
        0.0458163,
        0.0475443,
        0.0498134,
        0.0485828,
        0.0414919,
        0.0343987,
        0.0288627,
        0.0259398,
        0.024692,
        0.0239978,
        0.0237344,
        0.0236182,
        0.0233747,
        0.0233724,
        0.0233551,
        0.0235141,
        0.0235116,
        0.0235843,
        0.0233733,
        0.0236562,
        0.0245018,
        0.0265149,
        0.0298174,
        0.0341383,
        0.0363518,
        0.0337187,
        0.0295338,
        0.0272006,
        0.0270848,
        0.0287222,
        0.0309489,
        0.0318834,
        0.0300806,
        0.0266096,
        0.0245618,
        0.0235664,
        0.0230412,
        0.0259223,
        0.0253041,
        0.0223862,
        0.022614,
        0.022655,
        0.0225222,
        0.0225597,
        0.0226046,
        0.0227785,
        0.0228081,
        0.0228259,
        0.0228617,
        0.0230388,
        0.024327,
        0.0245548,
        0.0234705,
        0.0235856,
        0.0236326,
        0.0238166,
        0.0242532,
        0.0248163,
        0.0256533,
        0.0266996,
        0.0285635,
        0.0304456,
        0.0313369,
        0.0307177,
        0.0292128,
        0.0285927,
        0.0285746,
        0.028927,
        0.0293373,
        0.0301049,
        0.0314547,
        0.0337836,
        0.0362131,
        0.0371701,
        0.0349919,
        0.0312038,
        0.0284226,
        0.0269726,
        0.0262894,
        0.0263428,
        0.0269036,
        0.0284989,
        0.0312185,
        0.0342497,
        0.0356997,
        0.033416,
        0.0292313,
        0.0281667,
        0.0264083,
        0.0237267,
        0.0232552,
        0.0228585,
        0.0226493,
        0.0225902,
        0.0225225,
        0.0225403,
        0.0226472,
        0.0226692,
        0.022573,
        0.0226283,
        0.0229433,
        0.0233038,
        0.0236958,
        0.0237712,
        0.0237658,
        0.0234922,
        0.0232768,
        0.0231849,
        0.023179,
        0.0232699,
        0.0234114,
        0.0236887,
        0.0241246,
        0.0248751,
        0.0258769,
        0.0267976,
        0.0271846,
        0.0272896,
        0.02782,
        0.0297149,
        0.0335982,
        0.0385393,
        0.0422624,
        0.0418525,
        0.0420983,
        0.0375198,
        0.0332424,
        0.0303544,
        0.0286671,
        0.0280271,
        0.0282076,
        0.0287928,
        0.0298445,
        0.0310625,
        0.0329324,
        0.0357917,
        0.039885,
        0.0439853,
        0.0466333,
        0.045547,
        0.0415422,
        0.0382816,
        0.0353116,
        0.031005,
        0.0295283,
        0.0285069,
        0.0279312,
        0.0276134,
        0.0276904,
        0.0285684,
        0.0302854,
        0.0336093,
        0.0385247,
        0.0445953,
        0.0467509,
        0.0438292,
        0.0391333,
        0.0336333,
        0.029012,
        0.0262644,
        0.0251043,
        0.024618,
        0.0242252,
        0.0240034,
        0.0243672,
        0.0240366,
        0.0242717,
        0.0245302,
        0.0248478,
        0.0249036,
        0.0249759,
        0.0269086,
        0.0268166,
        0.0247681,
        0.0244614,
        0.0260866,
        0.0257407,
        0.0239586,
        0.0240754,
        0.0242669,
        0.0246779,
        0.0254922,
        0.0268002,
        0.0286388,
        0.0296656,
        0.0297485,
        0.0276632,
        0.0254343,
        0.0247693,
        0.0245849,
        0.0243944,
        0.0243623,
        0.0244111,
        0.0246267,
        0.0248999,
        0.0260796,
        0.0282078,
        0.0307328,
        0.0326961,
        0.0323122,
        0.0294668,
        0.0269011,
        0.0254028,
        0.0251288,
        0.0248974,
        0.0249469,
        0.0249259,
        0.0250389,
        0.0252773,
        0.0255653,
        0.0260012,
        0.026398,
        0.0264269,
        0.0262294,
        0.0261205,
        0.0263082,
        0.0265291,
        0.0271179,
        0.0277138,
        0.0285185,
        0.0286684,
        0.0282751,
        0.0277211,
        0.0274166,
        0.0279575,
        0.0289777,
        0.0307467,
        0.0359306,
        0.0416852,
        0.0423515,
        0.0412569,
        0.0362681,
        0.0317166,
        0.0314,
        0.0313659,
        0.0290667,
        0.0290851,
        0.0291699,
        0.0293804,
        0.0305582,
        0.0317305,
        0.03346,
        0.0357646,
        0.0367257,
        0.0356475,
        0.0350567,
        0.0344991,
        0.0347613,
        0.0366532,
        0.0391599,
        0.0412403,
        0.0410346,
        0.0395076,
        0.040187,
        0.0443226,
        0.0522374,
        0.0636813,
        0.0725606,
        0.0713792,
        0.0632066,
        0.0553583,
        0.0518942,
        0.0532373,
        0.0586619,
        0.0683818,
        0.0852308,
        0.112487,
        0.161244,
        0.23126,
        0.199755,
        0.147125,
        0.107176,
        0.0804329,
        0.0650581,
        0.0570495,
        0.0526198,
        0.0507043,
        0.0499689,
        0.0513742,
        0.0542549,
        0.0587429,
        0.062952,
        0.0629653,
        0.0627854,
        0.0587984,
        0.0538534,
        0.0545049,
        0.0566335,
        0.0593178,
        0.063048,
        0.066109,
        0.0685449,
        0.0802973,
        0.086448,
        0.0819174,
        0.0847436,
        0.0879547,
        0.0918241,
        0.0946543,
        0.0994047,
        0.104403,
        0.111966,
        0.120621,
        0.13411,
        0.154223,
        0.185385,
        0.227159,
        0.265853,
        0.304487,
        0.377192,
        0.298305,
        0.245167,
        0.210353,
        0.187399,
        0.170437,
        0.155348,
        0.14529,
        0.137187,
        0.132649,
        0.132308,
        0.134294,
        0.137665,
        0.147765,
        0.160894,
        0.174075,
        0.20481,
        0.244598,
        0.300245,
        0.232958,
        0.188566,
        0.164494,
        0.152324,
        0.150878,
        0.149644,
        0.138434,
        0.116425,
        0.0912152,
        0.0720001,
        0.0621299,
        0.0563984,
        0.052382,
        0.04949,
        0.0489626,
        0.0464896,
        0.0447211,
        0.0416597,
        0.0406661,
        0.0394675,
        0.0385861,
        0.0376447,
        0.0375103,
        0.037701,
        0.0385477,
        0.0373862,
        0.0368835,
        0.036222,
        0.0359388,
        0.0362411,
        0.0374033,
        0.0392478,
        0.0432028,
        0.0470146,
        0.0474681,
        0.0434331,
        0.0379868,
        0.0348363,
        0.0346987,
        0.0357962,
        0.0382554,
        0.0408248,
        0.0422522,
        0.0398272,
        0.0355398,
        0.0324757,
        0.0311937,
        0.0304948,
        0.0299682,
        0.029756,
        0.0294369,
        0.0292444,
        0.0315387,
        0.0327434,
        0.0318287,
        0.0285768,
        0.0282515,
        0.0281563,
        0.0274826,
        0.0279092,
        0.0281419,
        0.0288762,
        0.0301318,
        0.031654,
        0.0322365,
        0.0316179,
        0.0294534,
        0.0328124,
        0.031676,
        0.0268064,
        0.0266692,
        0.0266754,
        0.0263687,
        0.026757,
        0.0266358,
        0.0265105,
        0.0266888,
        0.0267884,
        0.0268195,
        0.0265599,
        0.0264092,
        0.0271146,
        0.0282976,
        0.0303902,
        0.0323441,
        0.0327222,
        0.0308068,
        0.0282177,
        0.0267599,
        0.0265791,
        0.0268068,
        0.0265245,
        0.0262442,
        0.0263691,
        0.0263789,
        0.0262216,
        0.0288415,
        0.0287914,
        0.0291057,
        0.0284683,
        0.0261464,
        0.0261192,
        0.0265004,
        0.0265623,
        0.0269223,
        0.0268617,
        0.0271479,
        0.0275478,
        0.0278828,
        0.0280602,
        0.0284302,
        0.0290067,
        0.0301533,
        0.0324794,
        0.036188,
        0.0415286,
        0.0461448,
        0.0475108,
        0.0459334,
        0.0447472,
        0.0450702,
        0.0445465,
        0.0456903,
        0.0485453,
        0.0532817,
        0.0614965,
        0.0745561,
        0.092031,
        0.110046,
        0.115293,
        0.100287,
        0.0797211,
        0.0684276,
        0.0567998,
        0.0505197,
        0.0477532,
        0.045426,
        0.0432291,
        0.0397381,
        0.036042,
        0.0334663,
        0.0318484,
        0.0304381,
        0.0295098,
        0.0290996,
        0.0289911,
        0.0289037,
        0.0290961,
        0.0301279,
        0.0327246,
        0.0369544,
        0.0423015,
        0.0464021,
        0.0456923,
        0.0415162,
        0.0374725,
        0.0343286,
        0.0339053,
        0.0355808,
        0.0371461,
        0.0360802,
        0.0326324,
        0.0291541,
        0.0270929,
        0.0263945,
        0.0259643,
        0.0257695,
        0.0261693,
        0.0265814,
        0.0268061,
        0.0273298,
        0.0274869,
        0.02712,
        0.0290001,
        0.0302787,
        0.0304524,
        0.0377416,
        0.0393306,
        0.0333393,
        0.0306771,
        0.0281972,
        0.0266667,
        0.0259745,
        0.0255916,
        0.0254223,
        0.0254691,
        0.0254728,
        0.0251872,
        0.0251954,
        0.0253358,
        0.0255372,
        0.0259617,
        0.0267555,
        0.0278641,
        0.0293835,
        0.0301967,
        0.0294988,
        0.0278011,
        0.0267755,
        0.0264387,
        0.0263946,
        0.0266365,
        0.026941,
        0.0275229,
        0.0280378,
        0.0278839,
        0.0279068,
        0.0281451,
        0.0287174,
        0.0294282,
        0.029865,
        0.030016,
        0.0300155,
        0.0293478,
        0.0287556,
        0.0293646,
        0.0311469,
        0.0337747,
        0.0366276,
        0.0382674,
        0.0362404,
        0.0329745,
        0.0316936,
        0.0308159,
        0.0305483,
        0.0308135,
        0.0308558,
        0.0310634,
        0.0329537,
        0.0364872,
        0.0408104,
        0.0437322,
        0.0422423,
        0.0384236,
        0.0350009,
        0.033389,
        0.0332391,
        0.0332801,
        0.0340665,
        0.034977,
        0.0353841,
        0.0361643,
        0.0367967,
        0.0381432,
        0.039165,
        0.0402647,
        0.0424384,
        0.0448902,
        0.0483701,
        0.0514044,
        0.0535791,
        0.0540605,
        0.055629,
        0.0583141,
        0.0628441,
        0.0685154,
        0.0750194,
        0.0839566,
        0.0982937,
        0.112988,
        0.131928,
        0.16003,
        0.203626,
        0.23887,
        0.177748,
        0.14087,
        0.120339,
        0.10237,
        0.0892706,
        0.0800304,
        0.0723532,
        0.0673897,
        0.0621166,
        0.0571506,
        0.0546145,
        0.0518766,
        0.049239,
        0.0480889,
        0.0475337,
        0.0481057,
        0.0504404,
        0.0538862,
        0.0578391,
        0.0657312,
        0.063642,
        0.0549045,
        0.0517244,
        0.0507591,
        0.0528493,
        0.0689133,
        0.0726822,
        0.0627104,
        0.0686578,
        0.0793574,
        0.111947,
        0.146094,
        0.171035,
        0.216269,
        0.213915,
        0.17461,
        0.124034,
        0.0879051,
        0.0774688,
        0.0648465,
        0.0535828,
        0.0480257,
        0.0435062,
        0.0401647,
        0.0381362,
        0.0373808,
        0.0371928,
        0.037811,
        0.0378486,
        0.0367602,
        0.0342362,
        0.0322429,
        0.0310881,
        0.0304597,
        0.0296239,
        0.029898,
        0.0288666,
        0.0286584,
        0.0287535,
        0.0289758,
        0.0292973,
        0.0283196,
        0.0274224,
        0.0279743,
        0.0274793,
        0.0279765,
        0.0284938,
        0.0286427,
        0.0286892,
        0.0284974,
        0.0283359,
        0.0277211,
        0.0280364,
        0.0297999,
        0.0319221,
        0.0339492,
        0.0341851,
        0.0325666,
        0.0302792,
        0.0285448,
        0.0277066,
        0.0273313,
        0.0269852,
        0.0271853,
        0.029261,
        0.03145,
        0.0287182,
        0.0286563,
        0.028194,
        0.0276472,
        0.0274702,
        0.0273955,
        0.0274577,
        0.0274872,
        0.0275172,
        0.0280131,
        0.0301548,
        0.030837,
        0.0301171,
        0.0311355,
        0.0321567,
        0.0332539,
        0.0344491,
        0.0358143,
        0.0385614,
        0.0427092,
        0.0483388,
        0.0482717,
        0.0436818,
        0.0424094,
        0.0434517,
        0.0472294,
        0.0519686,
        0.0570611,
        0.0657476,
        0.0796828,
        0.101019,
        0.132913,
        0.168451,
        0.188988,
        0.171742,
        0.131323,
        0.0963668,
        0.0748924,
        0.0625408,
        0.0554885,
        0.0509391,
        0.0487097,
        0.0462074,
        0.0431592,
        0.0385718,
        0.034866,
        0.0326429,
        0.0317744,
        0.0313184,
        0.0305461,
        0.0296481,
        0.0290571,
        0.0292311,
        0.02925,
        0.0288989,
        0.0293231,
        0.0295482,
        0.0314006,
        0.0314804,
        0.0287624,
        0.0287229,
        0.0297013,
        0.031631,
        0.034748,
        0.0381757,
        0.040902,
        0.0427326,
        0.0430486,
        0.0439663,
        0.0450233,
        0.0439882,
        0.038603,
        0.0330781,
        0.0297038,
        0.0298413,
        0.0291953,
        0.02732,
        0.0310797,
        0.0344236,
        0.0296998,
        0.0265499,
        0.0266755,
        0.0266668,
        0.0264289,
        0.0266194,
        0.0268752,
        0.02778,
        0.0298851,
        0.0322554,
        0.0334691,
        0.0339516,
        0.032935,
        0.0301229,
        0.028251,
        0.0275225,
        0.0272759,
        0.0272906,
        0.0279679,
        0.0300263,
        0.0314159,
        0.0307702,
        0.0305978,
        0.0291104,
        0.0281877,
        0.0299563,
        0.0340552,
        0.0316264,
        0.0285586,
        0.028932,
        0.0291663,
        0.0291049,
        0.0290546,
        0.0293187,
        0.0310172,
        0.031921,
        0.0318874,
        0.033092,
        0.0343928,
        0.0353594,
        0.0358712,
        0.0354988,
        0.0366932,
        0.0386919,
        0.0406751,
        0.0442379,
        0.0472281,
        0.0493862,
        0.05344,
        0.0583786,
        0.0649256,
        0.0751053,
        0.0893316,
        0.107035,
        0.127925,
        0.15858,
        0.208635,
        0.217493,
        0.160278,
        0.123584,
        0.10371,
        0.0925299,
        0.0825035,
        0.0691142,
        0.0571215,
        0.0484273,
        0.0440916,
        0.0415784,
        0.0398272,
        0.0388221,
        0.0383352,
        0.03731,
        0.0353948,
        0.0335635,
        0.0317763,
        0.0304946,
        0.0300283,
        0.0294041,
        0.0290948,
        0.029084,
        0.0289337,
        0.0285406,
        0.0282068,
        0.0275393,
        0.0274292,
        0.0280882,
        0.0277133,
        0.0271114,
        0.027183,
        0.0270337,
        0.0271628,
        0.0272315,
        0.0271638,
        0.0274223,
        0.0273288,
        0.027348,
        0.0275037,
        0.0278905,
        0.0292149,
        0.0314552,
        0.0310281,
        0.032538,
        0.0340602,
        0.0346219,
        0.0332942,
        0.0305855,
        0.0293741,
        0.0291621,
        0.0291209,
        0.029749,
        0.0320913,
        0.0347048,
        0.037739,
        0.0394784,
        0.0381426,
        0.0356412,
        0.0329893,
        0.0318805,
        0.0318564,
        0.0322421,
        0.0326196,
        0.0331943,
        0.0377207,
        0.0377988,
        0.0336989,
        0.0335642,
        0.0338682,
        0.0375686,
        0.0395544,
        0.0403719,
        0.0499174,
        0.0550682,
        0.0497271,
        0.0465883,
        0.040682,
        0.0355888,
        0.0350179,
        0.0324521,
        0.0306334,
        0.0302404,
        0.0293228,
        0.0291673,
        0.0285084,
        0.0282613,
        0.0279914,
        0.027512,
        0.027882,
        0.02857,
        0.0292258,
        0.0302448,
        0.0325161,
        0.0343969,
        0.0355632,
        0.035557,
        0.0326261,
        0.0293385,
        0.0285655,
        0.0287811,
        0.0296545,
        0.0306195,
        0.033512,
        0.0336594,
        0.0309631,
        0.0292614,
        0.028371,
        0.0280986,
        0.0278284,
        0.0277414,
        0.027995,
        0.0280537,
        0.0281551,
        0.0284737,
        0.0287783,
        0.0287453,
        0.0292129,
        0.0308641,
        0.03188,
        0.0299254,
        0.0293416,
        0.0292091,
        0.0286837,
        0.0286886,
        0.0291227,
        0.0295026,
        0.0296188,
        0.0296325,
        0.0296916,
        0.029034,
        0.0286363,
        0.0285709,
        0.0287119,
        0.0294329,
        0.0307064,
        0.0328707,
        0.0349048,
        0.0361247,
        0.0350769,
        0.0326282,
        0.0303622,
        0.0292342,
        0.0289012,
        0.0289606,
        0.0286331,
        0.0285049,
        0.0286175,
        0.0288684,
        0.0294004,
        0.0298943,
        0.0303216,
        0.0309499,
        0.0316364,
        0.0317871,
        0.0317531,
        0.0305191,
        0.0298465,
        0.0296635,
        0.0296789,
        0.0310102,
        0.0313612,
        0.0307968,
        0.0325964,
        0.0354346,
        0.0388856,
        0.0418005,
        0.0424459,
        0.0406618,
        0.0380919,
        0.0362559,
        0.0366656,
        0.0374109,
        0.0389427,
        0.0406457,
        0.0424735,
        0.0443494,
        0.0502735,
        0.0543633,
        0.0527337,
        0.0554658,
        0.0571464,
        0.0591395,
        0.0635463,
        0.0703791,
        0.0795769,
        0.0946364,
        0.117303,
        0.15467,
        0.166295,
        0.121572,
        0.094093,
        0.077985,
        0.0672587,
        0.0597137,
        0.0543834,
        0.0505972,
        0.0468829,
        0.0447555,
        0.0433721,
        0.0416862,
        0.0397156,
        0.0383587,
        0.0373195,
        0.0366183,
        0.036413,
        0.0370421,
        0.0360117,
        0.0341688,
        0.0339512,
        0.0368722,
        0.0389848,
        0.0398131,
        0.0442186,
        0.0501625,
        0.0541679,
        0.0529857,
        0.0475302,
        0.0414021,
        0.0364188,
        0.0338177,
        0.033794,
        0.0357661,
        0.0375253,
        0.0392664,
        0.0391316,
        0.0370383,
        0.0340797,
        0.0317328,
        0.0308516,
        0.0306209,
        0.0304369,
        0.0303258,
        0.0323303,
        0.0330508,
        0.031914,
        0.0335728,
        0.0350177,
        0.0335291,
        0.035847,
        0.0394091,
        0.0422821,
        0.04366,
        0.0429292,
        0.0398989,
        0.0375522,
        0.0352079,
        0.0342993,
        0.0347503,
        0.0349734,
        0.0356919,
        0.0370469,
        0.0389437,
        0.0409325,
        0.0438585,
        0.0464149,
        0.0468293,
        0.0457334,
        0.0440156,
        0.042004,
        0.0398154,
        0.0383159,
        0.0367707,
        0.0354021,
        0.0345958,
        0.0334472,
        0.0327642,
        0.0323696,
        0.0317833,
        0.0314897,
        0.031527,
        0.0336722,
        0.0348532,
        0.0315069,
        0.0313117,
        0.031389,
        0.0313554,
        0.0316269,
        0.0319411,
        0.0332461,
        0.0352041,
        0.0365988,
        0.0374781,
        0.0371984,
        0.035049,
        0.0332224,
        0.0320694,
        0.0317036,
        0.0322276,
        0.0331873,
        0.034813,
        0.0381222,
        0.0412292,
        0.0434578,
        0.0426592,
        0.0388596,
        0.0352506,
        0.0328329,
        0.0315229,
        0.031084,
        0.0308798,
        0.030784,
        0.031098,
        0.0352171,
        0.033643,
        0.0312725,
        0.0309962,
        0.0309421,
        0.0309083,
        0.0331322,
        0.0331438,
        0.0311298,
        0.0309062,
        0.0308957,
        0.0309873,
        0.0309498,
        0.0314986,
        0.0317926,
        0.0328198,
        0.0367562,
        0.0364141,
        0.0326838,
        0.0329614,
        0.0323819,
        0.0317658,
        0.0319637,
        0.0317293,
        0.0319773,
        0.0320135,
        0.0324863,
        0.0333741,
        0.0344389,
        0.0360112,
        0.0378296,
        0.0379026,
        0.0369624,
        0.0355569,
        0.0337123,
        0.0331544,
        0.033119,
        0.0328209,
        0.0331688,
        0.0337137,
        0.0336021,
        0.0341443,
        0.034971,
        0.0371158,
        0.0396446,
        0.0425919,
        0.0441953,
        0.0420898,
        0.0390812,
        0.0372281,
        0.0363245,
        0.0363304,
        0.0363012,
        0.0368708,
        0.0377079,
        0.0386373,
        0.0407725,
        0.0425674,
        0.044583,
        0.0495677,
        0.0555049,
        0.0637149,
        0.0693797,
        0.0698825,
        0.0675609,
        0.0653263,
        0.0649468,
        0.0634695,
        0.0638163,
        0.0667617,
        0.0711302,
        0.0768207,
        0.0892526,
        0.108189,
        0.136169,
        0.182985,
        0.148463,
        0.120174,
        0.104791,
        0.0985301,
        0.0955964,
        0.0884784,
        0.0801794,
        0.0706823,
        0.0617249,
        0.0587866,
        0.0537971,
        0.0500791,
        0.0488107,
        0.0470666,
        0.0459401,
        0.0459529,
        0.0463529,
        0.046287,
        0.0463428,
        0.0458485,
        0.0447799,
        0.0443872,
        0.0449001,
        0.0456136,
        0.0464036,
        0.0484918,
        0.0584909,
        0.0580561,
        0.0569807,
        0.0642377,
        0.0673614,
        0.0729899,
        0.079332,
        0.0941977,
        0.115625,
        0.151845,
        0.195096,
        0.227096,
        0.19534,
        0.162188,
        0.139665,
        0.129326,
        0.126872,
        0.128259,
        0.138102,
        0.159884,
        0.194644,
        0.240311,
        0.30968,
        0.16771,
        0.148861,
        0.124948,
        0.109458,
        0.0966224,
        0.0863526,
        0.0784045,
        0.0716053,
        0.0695464,
        0.064234,
        0.06202,
        0.0619589,
        0.0627612,
        0.0634271,
        0.0615741,
        0.0560038,
        0.0501549,
        0.0463962,
        0.0446593,
        0.0439374,
        0.0430645,
        0.0421302,
        0.041534,
        0.0408254,
        0.0401378,
        0.0397738,
        0.0398079,
        0.0391516,
        0.0387467,
        0.0428992,
        0.0423093,
        0.0372389,
        0.0371579,
        0.0377457,
        0.038384,
        0.0367796,
        0.0368014,
        0.0368341,
        0.0382986,
        0.041016,
        0.0421411,
        0.0416894,
        0.040709,
        0.0385492,
        0.0366725,
        0.0359339,
        0.0360433,
        0.0361025,
        0.0364738,
        0.0367115,
        0.0367673,
        0.0368844,
        0.0368695,
        0.0367676,
        0.0362734,
        0.0356683,
        0.0358551,
        0.0363391,
        0.0362697,
        0.0364849,
        0.0364146,
        0.0364398,
        0.0358568,
        0.0360227,
        0.0360868,
        0.0362424,
        0.0370354,
        0.038385,
        0.0399637,
        0.0421091,
        0.0453275,
        0.0477003,
        0.0464136,
        0.0437667,
        0.0408944,
        0.0398845,
        0.0412521,
        0.0443631,
        0.04718,
        0.0493428,
        0.0496573,
        0.0472046,
        0.0443804,
        0.0432025,
        0.042881,
        0.0419877,
        0.0410595,
        0.0405998,
        0.041646,
        0.0430776,
        0.0455045,
        0.048807,
        0.0500963,
        0.048459,
        0.0450888,
        0.0429488,
        0.0429265,
        0.043361,
        0.0446322,
        0.044473,
        0.0430314,
        0.0423727,
        0.043014,
        0.0456528,
        0.0486886,
        0.0508716,
        0.0512204,
        0.04887,
        0.0469637,
        0.0463165,
        0.0466788,
        0.0468642,
        0.0481457,
        0.0509942,
        0.0545551,
        0.059164,
        0.0617414,
        0.0634952,
        0.0644572,
        0.0634332,
        0.0634204,
        0.0635678,
        0.0644958,
        0.0651537,
        0.0680811,
        0.0725129,
        0.0803208,
        0.0900012,
        0.103028,
        0.124513,
        0.159863,
        0.214081,
        0.195531,
        0.145821,
        0.116847,
        0.100122,
        0.0907957,
        0.0846361,
        0.0814323,
        0.0792316,
        0.0749386,
        0.0671414,
        0.0604885,
        0.0549335,
        0.0521171,
        0.0510132,
        0.0512654,
        0.0526688,
        0.0548236,
        0.0561439,
        0.0561886,
        0.0528922,
        0.0492657,
        0.0480325,
        0.0474021,
        0.0472982,
        0.0466388,
        0.0461807,
        0.0459069,
        0.0451466,
        0.0441487,
        0.043317,
        0.0425699,
        0.0425122,
        0.0423079,
        null,
        0.106147,
        0.107946,
        0.113675,
        0.120439,
        0.140389,
        0.175038,
        0.235679,
        0.207943,
        0.159803,
        0.130291,
        0.113413,
        0.103834,
        0.0980945,
        0.0976521,
        0.103048,
        0.112637,
        0.127576,
        0.152873,
        0.193065,
        0.194574,
        0.171224,
        0.159662,
        0.160133,
        0.164574,
        0.171329,
        0.19043,
        0.217427,
        0.212337,
        null,
        0.158581,
        0.135278,
        0.116265,
        0.10312,
        0.0924412,
        0.0845136,
        0.0774155,
        0.0721223,
        0.0669253,
        0.0616018,
        0.0579909,
        0.0550591,
        0.0530759,
        0.0512201,
        0.0491938,
        0.0475287,
        0.0458083,
        0.0500696,
        0.0480978,
        0.0435318,
        0.0431961,
        0.0432967,
        0.0423984,
        0.0411293,
        0.0398885,
        0.0394934,
        0.0400491,
        0.0407917,
        0.0408758,
        0.0398597,
        0.0385035,
        0.0374511,
        0.036864,
        0.0366573,
        0.036525,
        0.0366464,
        0.037048,
        0.0375275,
        0.037539,
        0.037357,
        0.0369093,
        0.0365351,
        0.0359349,
        0.0357485,
        0.0356881,
        0.0355094,
        0.0355115,
        0.0359854,
        0.0366742,
        0.037674,
        0.0394116,
        0.0417958,
        0.0449213,
        0.0492389,
        0.0530937,
        0.0536631,
        0.0504236,
        0.0455806,
        0.0417002,
        0.0388018,
        0.0363859,
        0.034858,
        0.0340594,
        0.0331218,
        0.0328465,
        0.0321149,
        0.0315385,
        0.0312273,
        0.0311342,
        0.0312305,
        0.0315134,
        0.0319262,
        0.0324128,
        0.0328248,
        0.0332192,
        0.0331962,
        0.0325692,
        0.0318168,
        0.0311608,
        0.0310117,
        0.0310987,
        0.0309393,
        0.0307489,
        0.0303848,
        0.0301755,
        0.0307792,
        0.031898,
        0.0335813,
        0.0362872,
        0.0375306,
        0.0370235,
        0.0360891,
        0.0345567,
        0.0337319,
        0.0343806,
        0.0359329,
        0.0377919,
        0.0395514,
        0.0405135,
        0.0409012,
        0.0418735,
        0.043969,
        0.0460851,
        0.0469876,
        0.0462733,
        0.0439512,
        0.0411844,
        0.0392193,
        0.0374105,
        0.0362502,
        0.0354338,
        0.034613,
        0.0336993,
        0.0324641,
        0.0314882,
        0.0308947,
        0.0307352,
        0.0302837,
        0.0301875,
        0.0298779,
        0.0301807,
        0.0292207,
        0.0286211,
        0.0288495,
        0.0292311,
        0.0299526,
        0.0308485,
        0.0307825,
        0.0303561,
        0.0300755,
        0.0306445,
        0.0324436,
        0.0322778,
        0.0298706,
        0.0287926,
        0.0283884,
        0.0282542,
        0.0284055,
        0.0287647,
        0.0293514,
        0.0297151,
        0.0300734,
        0.0305531,
        0.0305736,
        0.0303148,
        0.0303448,
        0.0311899,
        0.0311853,
        0.030016,
        0.0300907,
        0.0303284,
        0.030595,
        0.0308649,
        0.0314816,
        0.0324111,
        0.0334727,
        0.0348534,
        0.0364869,
        0.0384479,
        0.0414065,
        0.0460364,
        0.0524846,
        0.059565,
        0.065074,
        0.0649601,
        0.058772,
        0.0512034,
        0.0458303,
        0.042997,
        0.0411833,
        0.0392942,
        0.0374406,
        0.035338,
        0.0335529,
        0.0328118,
        0.0324921,
        0.0322631,
        0.0319349,
        0.0313139,
        0.0306103,
        0.0299526,
        0.0323495,
        0.0317678,
        0.0286582,
        0.0285046,
        0.0284994,
        0.0283585,
        0.0285647,
        0.0291448,
        0.0301077,
        0.0331725,
        0.0333722,
        0.0302729,
        0.0298232,
        0.031225,
        0.0322374,
        0.0316401,
        0.0306587,
        0.0293003,
        0.0284679,
        0.0284053,
        0.0285752,
        0.0287404,
        0.0294849,
        0.0305777,
        0.0315963,
        0.0322057,
        0.0325614,
        0.0323758,
        0.0319487,
        0.0320761,
        0.0325974,
        0.0338102,
        0.034501,
        0.0353148,
        0.0358363,
        0.0359692,
        0.0357888,
        0.0353235,
        0.0353182,
        0.0363481,
        0.0383811,
        0.0404766,
        0.0431144,
        0.0452385,
        0.046934,
        0.0475496,
        0.0496698,
        0.0478786,
        0.0420048,
        0.0415246,
        0.0417912,
        0.0412603,
        0.0401185,
        0.0379817,
        0.0362305,
        0.0356407,
        0.0354864,
        0.0353823,
        0.0352954,
        0.0357267,
        0.0363894,
        0.0372696,
        0.0382233,
        0.0395594,
        0.0404877,
        0.0413443,
        0.0421223,
        0.0428809,
        0.0436588,
        0.0445895,
        0.0462111,
        0.0485704,
        0.0507439,
        0.0518505,
        0.0521691,
        0.0532701,
        0.053921,
        0.0565888,
        0.0599105,
        0.0639922,
        0.0690505,
        0.0757015,
        0.0838927,
        0.0939401,
        0.10768,
        0.127124,
        0.148617,
        0.171667,
        0.201342,
        0.237735,
        0.282162,
        0.21419,
        0.174415,
        0.147068,
        0.126036,
        0.110088,
        0.0982049,
        0.0894376,
        0.0837698,
        0.0781375,
        0.0730751,
        0.069821,
        0.0753914,
        0.0725022,
        0.0641917,
        0.0629298,
        0.0593069,
        0.0572943,
        0.0559821,
        0.0595216,
        0.0607419,
        0.054005,
        0.0516994,
        0.049481,
        0.0476078,
        0.0467827,
        0.0467113,
        0.0465794,
        0.0454912,
        0.0446595,
        0.0445443,
        0.0442014,
        0.0446417,
        0.0452538,
        0.0465795,
        0.0481302,
        0.0509918,
        0.0546608,
        0.0596015,
        0.0675565,
        0.080255,
        0.110268,
        0.144692,
        0.185361,
        0.170996,
        0.121512,
        0.0901951,
        0.0716374,
        0.0607209,
        0.0536231,
        0.0486014,
        0.0450035,
        0.0424341,
        0.0404726,
        0.0387727,
        0.0375279,
        0.0365743,
        0.0359572,
        0.0356527,
        0.035635,
        0.0374665,
        0.0380277,
        0.0360302,
        0.0362182,
        0.0361927,
        0.0354736,
        0.0341686,
        0.033081,
        0.0322687,
        0.0320878,
        0.0321112,
        0.0317215,
        0.0314598,
        0.0311457,
        0.0328532,
        0.0325832,
        0.0301695,
        0.0299932,
        0.0299984,
        0.0301389,
        0.0302521,
        0.0306436,
        0.0351703,
        0.0342519,
        0.0317675,
        0.0324097,
        0.033439,
        0.035374,
        0.038256,
        0.0417905,
        0.0459698,
        0.0509185,
        0.0574343,
        0.0673895,
        0.0796481,
        0.0879001,
        0.0904138,
        0.0816511,
        0.0695748,
        0.0626932,
        0.0591568,
        0.0566242,
        0.0538833,
        0.0500533,
        0.0452629,
        0.0414194,
        0.038416,
        0.0361559,
        0.0383962,
        0.037457,
        0.0319598,
        0.030986,
        0.0303937,
        0.0298486,
        0.0350314,
        0.0325011,
        0.0292456,
        0.028643,
        0.0285313,
        0.0285398,
        0.0290188,
        0.0295897,
        0.0310721,
        0.0328856,
        0.0339481,
        0.0341622,
        0.0333156,
        0.0318833,
        0.0311183,
        0.0309586,
        0.03136,
        0.0321701,
        0.0335539,
        0.0354138,
        0.0394985,
        0.0424062,
        0.0429297,
        0.0440078,
        0.0428204,
        0.04031,
        0.037516,
        0.035397,
        0.0338605,
        0.0326764,
        0.0320682,
        0.0316521,
        0.0313887,
        0.0312245,
        0.0309226,
        0.0304653,
        0.0303677,
        0.0340363,
        0.0336326,
        0.0303619,
        0.0308528,
        0.0311501,
        0.0315843,
        0.0320164,
        0.0327579,
        0.0334556,
        0.0342664,
        0.0353982,
        0.0372614,
        0.0393777,
        0.0413256,
        0.0439505,
        0.0467815,
        0.0496435,
        0.0525155,
        0.056706,
        0.0625569,
        0.0708905,
        0.0818233,
        0.0948872,
        0.110759,
        0.124626,
        0.134766,
        0.141388,
        0.139523,
        0.12895,
        0.113409,
        0.0992933,
        0.0867886,
        0.0756476,
        0.0667515,
        0.0605338,
        0.0560058,
        0.0525152,
        0.0509131,
        0.0496954,
        0.0485833,
        0.0486891,
        0.0474981,
        0.0417993,
        0.0393486,
        0.0374938,
        0.0365492,
        0.036035,
        0.0358703,
        0.0359396,
        0.0362268,
        0.0384132,
        0.0391569,
        0.0385152,
        0.0396715,
        0.0414174,
        0.0437825,
        0.0465364,
        0.0504688,
        0.0555034,
        0.0630335,
        0.073919,
        0.0890456,
        0.109982,
        0.140315,
        0.189188,
        0.210205,
        0.146623,
        0.111297,
        0.0891826,
        0.0740707,
        0.0634896,
        0.056032,
        0.050898,
        0.0472981,
        0.0452542,
        0.0440764,
        0.0429927,
        0.0413852,
        0.0393393,
        0.0370326,
        0.0351729,
        0.0342381,
        0.0337013,
        0.0347864,
        0.0341807,
        0.0335685,
        0.0332437,
        0.0329661,
        0.0323074,
        0.0327949,
        0.0329216,
        0.0318455,
        0.0320436,
        0.0319354,
        0.0315895,
        0.0312827,
        0.0307783,
        0.032153,
        0.030112,
        0.0284741,
        0.0282108,
        0.0277772,
        0.0286649,
        0.0285492,
        0.0275379,
        0.0275925,
        0.0271924,
        0.0271225,
        0.0276752,
        0.028034,
        0.0274341,
        0.0276317,
        0.0283561,
        0.0297512,
        0.0311838,
        0.0327642,
        0.0349536,
        0.0372737,
        0.0395323,
        0.0413918,
        0.0420839,
        0.0415854,
        0.0390219,
        0.0356032,
        0.0336246,
        0.0323332,
        0.031068,
        0.0304675,
        0.030066,
        0.0299898,
        0.0302262,
        0.0303368,
        0.0309596,
        0.0314807,
        0.0316021,
        0.0315686,
        0.0312901,
        0.0302776,
        0.0300282,
        0.0299718,
        0.030113,
        0.0307704,
        0.0317381,
        0.0328567,
        0.0343605,
        0.0359666,
        0.0373311,
        0.0379765,
        0.0373736,
        0.0355466,
        0.033695,
        0.0323251,
        0.0311946,
        0.0290922,
        0.0281457,
        0.0275815,
        0.0275775,
        0.0272218,
        0.0271043,
        0.0269992,
        0.0271798,
        0.0269761,
        0.0267082,
        0.0261775,
        0.0260027,
        0.0257698,
        0.0257744,
        0.0260566,
        0.0264399,
        0.0271793,
        0.0285561,
        0.0296411,
        0.0303754,
        0.0327643,
        0.0331175,
        0.0307591,
        0.0298741,
        0.0287988,
        0.0287812,
        0.0287565,
        0.0290681,
        0.0295275,
        0.0303722,
        0.0313215,
        0.0317951,
        0.031718,
        0.0316654,
        0.0310085,
        0.0296462,
        0.0292021,
        0.0293416,
        0.0300233,
        0.0302918,
        0.0299109,
        0.0294461,
        0.0295048,
        0.0295493,
        0.0295717,
        0.0293914,
        0.0287432,
        0.0281155,
        0.0279745,
        0.028448,
        0.0287172,
        0.0295117,
        0.0305404,
        0.0317039,
        0.032397,
        0.0325371,
        0.0326874,
        0.0326185,
        0.0326532,
        0.0332348,
        0.0336545,
        0.0339689,
        0.0340125,
        0.0337123,
        0.0336945,
        0.0337938,
        0.0340134,
        0.0352961,
        0.0363898,
        0.0382814,
        0.0397978,
        0.0403163,
        0.0410104,
        0.0421645,
        0.0443841,
        0.0473481,
        0.0510166,
        0.055899,
        0.0631474,
        0.0723802,
        0.086034,
        0.105924,
        0.13667,
        0.188884,
        0.212709,
        0.158069,
        0.12455,
        0.101674,
        0.0864911,
        0.0759439,
        0.0673859,
        0.0611073,
        0.0560841,
        0.0519918,
        0.0483516,
        0.0459214,
        0.0438384,
        0.0425252,
        0.0413368,
        0.0398886,
        0.0384604,
        0.0373583,
        0.0362385,
        0.035647,
        0.0345505,
        0.0338253,
        0.0330699,
        0.0326639,
        0.0333001,
        0.0343541,
        0.0346701,
        0.0343257,
        0.0331303,
        0.031242,
        0.0296717,
        0.0288251,
        0.0285142,
        0.0286888,
        0.028486,
        0.0283556,
        0.028322,
        0.02902,
        0.0286884,
        0.0288505,
        0.0288051,
        0.028731,
        0.0292021,
        0.0297763,
        0.0306505,
        0.0322377,
        0.0380961,
        0.0403734,
        0.0383664,
        0.040121,
        0.0414343,
        0.0414302,
        0.0393504,
        0.0376627,
        0.0354023,
        0.0339611,
        0.0328764,
        0.0315148,
        0.0314936,
        0.0312803,
        0.0309821,
        0.0318547,
        0.0358382,
        0.0357026,
        0.0318302,
        0.033038,
        0.0352382,
        0.0377513,
        0.042718,
        0.0449439,
        0.0428124,
        0.0412657,
        0.0387247,
        0.0367231,
        0.0340296,
        0.0323464,
        0.0310633,
        0.0298446,
        0.029257,
        0.028948,
        0.0283577,
        0.02837,
        0.02806,
        0.0279999,
        0.0282708,
        0.0284403,
        0.0286317,
        0.0290617,
        0.0296366,
        0.0302337,
        0.0306608,
        0.0313098,
        0.0319662,
        0.0350704,
        0.0348348,
        0.0310165,
        0.0293776,
        0.0278317,
        0.0274,
        0.0268686,
        0.026586,
        0.026414,
        0.0267556,
        0.0278441,
        0.0277473,
        0.0275035,
        0.0281991,
        0.02941,
        0.0299496,
        0.0291017,
        0.0280982,
        0.0278442,
        0.0272303,
        0.0272745,
        0.0272921,
        0.0301407,
        0.0293273,
        0.0278046,
        0.0284792,
        0.0283171,
        0.0279206,
        0.0286163,
        0.0294415,
        0.0309834,
        0.0319769,
        0.0315341,
        0.0316083,
        0.0306361,
        0.0310224,
        0.0307822,
        0.0310129,
        0.0317361,
        0.0329951,
        0.0333803,
        0.0350376,
        0.0342658,
        0.0346598,
        0.0339643,
        0.0321198,
        0.0312012,
        0.0311977,
        0.0315046,
        0.0324196,
        0.0331224,
        0.0330084,
        0.0325423,
        0.0326454,
        0.0324643,
        0.03198,
        0.0330657,
        0.0340437,
        0.0347911,
        0.0351393,
        0.035384,
        0.0359002,
        0.0367852,
        0.0376695,
        0.0385969,
        0.0400052,
        0.0416348,
        0.0438618,
        0.0464407,
        0.0493335,
        0.0531171,
        0.0574585,
        0.0639008,
        0.0732224,
        0.0831478,
        0.098721,
        0.1234,
        0.157746,
        0.213851,
        0.185757,
        0.142062,
        0.111117,
        0.0927134,
        0.0799301,
        0.0706974,
        0.0647451,
        0.059552,
        0.0603966,
        0.0624646,
        0.0537255,
        0.0494521,
        0.0483638,
        0.0489427,
        0.0494215,
        0.052426,
        0.0577831,
        0.0628566,
        0.0683991,
        0.0703161,
        0.0645545,
        0.0636564,
        0.0556478,
        0.0470535,
        0.0433101,
        0.0403184,
        0.0381715,
        0.0375338,
        0.036652,
        0.0367792,
        0.0354678,
        0.0364022,
        0.036636,
        0.0381519,
        0.0385882,
        0.0369266,
        0.0370732,
        0.0355203,
        0.0343079,
        0.0346695,
        0.0354782,
        0.0350124,
        0.0355989,
        0.0378078,
        0.0390885,
        0.0401049,
        0.042133,
        0.0424301,
        0.0413861,
        0.0369256,
        0.0370514,
        0.0364636,
        0.0361885,
        0.0371309,
        0.0380499,
        0.0382731,
        0.039284,
        0.0394448,
        0.0384882,
        0.0374472,
        0.0364291,
        0.0346962,
        0.0330831,
        0.0319741,
        0.0310349,
        0.0306472,
        0.0307989,
        0.0312577,
        0.032563,
        0.0321293,
        0.0311047,
        0.0310121,
        0.0314865,
        0.0323675,
        0.0335297,
        0.0372068,
        0.0370434,
        0.0330553,
        0.0325328,
        0.0316264,
        0.0310677,
        0.0332533,
        0.0319625,
        0.0296349,
        0.0287067,
        0.0286138,
        0.0289342,
        0.0284504,
        0.0289135,
        0.0289918,
        0.0288473,
        0.0285064,
        0.0284237,
        0.0279881,
        0.0278682,
        0.0278247,
        0.0276215,
        0.0273025,
        0.0274983,
        0.0275474,
        0.0275278,
        0.0280283,
        0.0281831,
        0.0275238,
        0.0275494,
        0.0274558,
        0.0275315,
        0.0276825,
        0.0280327,
        0.0290717,
        0.0288228,
        0.0288202,
        0.0295837,
        0.0280843,
        0.0283099,
        0.0287197,
        0.0294164,
        0.0299411,
        0.0326589,
        0.032953,
        0.0315816,
        0.033757,
        0.0344434,
        0.0315398,
        0.0316943,
        0.0320156,
        0.0322026,
        0.0320319,
        0.0320582,
        0.0322563,
        0.0323899,
        0.0331522,
        0.0341525,
        0.0348016,
        0.0352411,
        0.0354588,
        0.0348421,
        0.0352899,
        0.0360053,
        0.0367093,
        0.0367607,
        0.0364011,
        0.0367265,
        0.0377376,
        0.0388228,
        0.0393817,
        0.039992,
        0.0443272,
        0.0442415,
        0.0400289,
        0.0402957,
        0.0404619,
        0.0410422,
        0.0413868,
        0.0424695,
        0.0452666,
        0.047348,
        0.0478256,
        0.0502727,
        0.0529368,
        0.0606786,
        0.063812,
        0.0625098,
        0.0678321,
        0.0751854,
        0.0837359,
        0.0955451,
        0.110236,
        0.125194,
        0.148269,
        0.185857,
        0.211281,
        0.163209,
        0.133747,
        0.111942,
        0.0951464,
        0.0825769,
        0.0743209,
        0.0681108,
        0.0634157,
        0.0625801,
        0.0604313,
        0.0531029,
        0.0512543,
        0.0498164,
        0.0477037,
        0.0463674,
        0.0454328,
        0.04481,
        0.0450551,
        0.0455676,
        0.0456122,
        0.045608,
        0.0454129,
        0.0443537,
        0.0436525,
        0.0429281,
        0.0426663,
        0.0419764,
        0.0408694,
        0.040096,
        0.0392543,
        0.0383566,
        0.0382173,
        0.0374852,
        0.037748,
        0.037807,
        0.0381193,
        0.0392837,
        0.0408936,
        0.0429455,
        0.0516978,
        0.0529974,
        0.0540711,
        0.0545165,
        0.0540875,
        0.0506554,
        0.0469949,
        0.0438738,
        0.0410526,
        0.0383528,
        0.0363869,
        0.0353905,
        0.034568,
        0.0344778,
        0.034076,
        0.033182,
        0.0331418,
        0.0331368,
        0.0333032,
        0.0329382,
        0.0332646,
        0.0330754,
        0.0331076,
        0.0333134,
        0.0337898,
        0.0345058,
        0.0346233,
        0.0351559,
        0.0362204,
        0.0363501,
        0.0367079,
        0.0417463,
        0.0408418,
        0.0351679,
        0.0354911,
        0.0358673,
        0.0360769,
        0.0354517,
        0.0346099,
        0.0342391,
        0.0339544,
        0.0338999,
        0.0338958,
        0.0338889,
        0.0338782,
        0.0338273,
        0.0338072,
        0.0348032,
        0.0345576,
        0.0340779,
        0.0341451,
        0.0339745,
        0.0342325,
        0.0346982,
        0.0351664,
        0.035201,
        0.0349242,
        0.0350715,
        0.0356717,
        0.036132,
        0.0369138,
        0.0373431,
        0.0373607,
        0.0371901,
        0.0369575,
        0.0371475,
        0.0368479,
        0.0365857,
        0.0365431,
        0.0366325,
        0.0373138,
        0.0374786,
        0.0380534,
        0.038551,
        0.039174,
        0.0394928,
        0.0403924,
        0.0409863,
        0.0402317,
        0.039829,
        0.0400004,
        0.0402124,
        0.040691,
        0.0410583,
        0.0409564,
        0.0416832,
        0.0413418,
        0.0414189,
        0.0418262,
        0.0419871,
        0.0425784,
        0.0460202,
        0.0466958,
        0.0444694,
        0.0450671,
        0.0460175,
        0.0473234,
        0.0512833,
        0.0520028,
        0.0496883,
        0.0505311,
        0.0509836,
        0.0523185,
        0.0536867,
        0.0558337,
        0.0569573,
        0.0558979,
        0.0578534,
        0.0594189,
        0.0597198,
        0.0621632,
        0.0644697,
        0.0670342,
        0.069297,
        0.0724172,
        0.0767624,
        0.0860739,
        0.0861107,
        0.0870888,
        0.0925668,
        0.101385,
        0.108869,
        0.114507,
        0.120659,
        0.130057,
        0.141108,
        0.158303,
        0.175435,
        0.200119,
        0.233099,
        0.262076,
        0.249275,
        0.227889,
        0.195812,
        0.17566,
        0.158394,
        0.144013,
        0.133256,
        0.128291,
        0.127127,
        0.123943,
        0.119282,
        0.112373,
        0.104883,
        0.100904,
        0.097282,
        0.0942281,
        0.0910453,
        0.0878875,
        0.0844608,
        0.0838107,
        0.0885727,
        0.0862436,
        0.0794298,
        0.0789994,
        0.0784203,
        0.0781027,
        0.0778304,
        0.0778491,
        0.0771416,
        0.0778411,
        0.0776045,
        0.0792598,
        0.0801344,
        0.0801996,
        0.0814507,
        0.0830948,
        0.0845919,
        0.0849643,
        0.0851718,
        0.0859249,
        0.0860436,
        0.0876665,
        0.0888372,
        0.0907266,
        0.0926682,
        0.0942723,
        0.0970893,
        0.0991701,
        0.102274,
        0.107727,
        0.111603,
        0.115369,
        0.118283,
        0.122022,
        0.127598,
        0.134141,
        0.141672,
        0.152135,
        0.162149,
        0.177819,
        0.189182,
        0.205238,
        0.226289,
        0.246375,
        0.27206,
        0.414995,
        0.288254,
        0.272815,
        0.264262,
        0.260692,
        0.258843,
        0.268352,
        0.236683,
        0.203151,
        0.175405,
        0.155088,
        0.142192,
        0.128586,
        0.119009,
        0.114328,
        0.10966,
        0.107107,
        0.10322,
        0.0977542,
        0.0938844,
        0.0895671,
        0.0851276,
        0.0810313,
        0.0788728,
        0.0759748,
        0.0738294,
        0.0726165,
        0.0710958,
        0.0703935,
        0.0692547,
        0.067897,
        0.0659294,
        0.0638823,
        0.0626294,
        0.0630996,
        0.062985,
        0.0632162,
        0.0648837,
        0.0652061,
        0.0653634,
        0.0636282,
        0.0609084,
        0.0591037,
        0.0569687,
        0.0551325,
        0.0538736,
        0.0532216,
        0.0524656,
        0.0510229,
        0.0502694,
        0.0494839,
        0.0493306,
        0.0489113,
        0.0484935,
        0.048299,
        0.0477346,
        0.0473744,
        0.0471449,
        0.0518236,
        0.0511219,
        0.045951,
        0.0457801,
        0.0447704,
        0.0444331,
        0.044111,
        0.0437066,
        0.043761,
        0.044421,
        0.0449299,
        0.045226,
        0.0452594,
        0.0444183,
        0.047455,
        0.0470794,
        0.0435541,
        0.0434205,
        0.0431335,
        0.042359,
        0.0443975,
        0.0440784,
        0.0414471,
        0.0411312,
        0.0416331,
        0.0415343,
        0.0409073,
        0.0404532,
        0.0402451,
        0.0406327,
        0.040571,
        0.0404005,
        0.0405616,
        0.0403276,
        0.0406609,
        0.0409983,
        0.0409148,
        0.0408494,
        0.0416601,
        0.0417962,
        0.0418857,
        0.0424609,
        0.0427587,
        0.0422599,
        0.0421265,
        0.0418953,
        0.0440434,
        0.0440399,
        0.0409531,
        0.0407428,
        0.0413032,
        0.0412636,
        0.0413265,
        0.0414947,
        0.041679,
        0.0421445,
        0.0419711,
        0.0418661,
        0.0412604,
        0.0411604,
        0.0412469,
        0.0414733,
        0.0413428,
        0.0413854,
        0.0416383,
        0.0417487,
        0.0418083,
        0.0410757,
        0.0408844,
        0.0407501,
        0.0406371,
        0.0404636,
        0.0405474,
        0.0400999,
        0.0405894,
        0.0405864,
        0.0405312,
        0.040879,
        0.0408515,
        0.0412659,
        0.0415291,
        0.0415745,
        0.0427426,
        0.0444999,
        0.0421216,
        0.0420725,
        0.0427606,
        0.0430333,
        0.0431843,
        0.0437205,
        0.0446434,
        0.046354,
        0.0456242,
        0.0457372,
        0.0475572,
        0.0481234,
        0.0482256,
        0.0495866,
        0.0506711,
        0.051752,
        0.0535654,
        0.0543114,
        0.0567075,
        0.0582375,
        0.0595475,
        0.0602813,
        0.0609492,
        0.0630067,
        0.0653109,
        0.0674478,
        0.0694623,
        0.073717,
        0.0784523,
        0.0836943,
        0.0890493,
        0.0944071,
        0.103599,
        0.115415,
        0.128886,
        0.147855,
        0.175759,
        0.211776,
        0.207026,
        0.171006,
        0.144361,
        0.126756,
        0.113392,
        0.101269,
        0.0922175,
        0.0864503,
        0.0808238,
        0.0753737,
        0.0710133,
        0.0673559,
        0.064947,
        0.0621718,
        0.0603059,
        0.0584983,
        0.0569187,
        0.0560099,
        0.0555317,
        0.0543586,
        0.0540017,
        0.0537721,
        0.0541503,
        0.0547677,
        0.0553407,
        0.0551429,
        0.0551992,
        0.055916,
        0.0563342,
        0.0560632,
        0.05523,
        0.0537522,
        0.0521207,
        0.0508099,
        0.0495496,
        0.0484434,
        0.0476932,
        0.0469564,
        0.0463673,
        0.0455762,
        0.0453182,
        0.0449601,
        0.0451502,
        0.0507756,
        0.0504506,
        0.044362,
        0.0447316,
        0.0445498,
        0.0449766,
        0.0448554,
        0.0439162,
        0.0435815,
        0.0433542,
        0.0430126,
        0.0423091,
        0.0424643,
        0.0417201,
        0.0411985,
        0.0408781,
        0.0407804,
        0.0410977,
        0.0410066,
        0.0409342,
        0.0406997,
        0.0406337,
        0.0407975,
        0.0412431,
        0.0412211,
        0.0414719,
        0.0417089,
        0.0406311,
        0.0407087,
        0.0408921,
        0.0409692,
        0.0407172,
        0.0402393,
        0.0410466,
        0.0410355,
        0.0418527,
        0.0426829,
        0.0425949,
        0.042517,
        0.0426784,
        0.0416506,
        0.041768,
        0.042432,
        0.0421986,
        0.0414316,
        0.0411727,
        0.0405505,
        0.0403467,
        0.0406745,
        0.0407914,
        0.040916,
        0.0411768,
        0.0411193,
        0.0440742,
        0.0443663,
        0.0426323,
        0.0430792,
        0.0430583,
        0.0430392,
        0.04306,
        0.0429141,
        0.0430621,
        0.0432071,
        0.0433117,
        0.0448137,
        0.045258,
        0.0441305,
        0.0446901,
        0.0446292,
        0.0448522,
        0.0451398,
        0.0456437,
        0.045828,
        0.045459,
        0.0455722,
        0.0457042,
        0.0462846,
        0.0475569,
        0.0487493,
        0.048884,
        0.0480597,
        0.0483353,
        0.0480536,
        0.0472656,
        0.0465972,
        0.046418,
        0.0459675,
        0.0463691,
        0.0465114,
        0.046229,
        0.0461422,
        0.0457025,
        0.0456282,
        0.0461395,
        0.046818,
        0.046986,
        0.047648,
        0.0484722,
        0.0489744,
        0.0496221,
        0.0498437,
        0.0497416,
        0.0511143,
        0.0511898,
        0.0514676,
        0.0517969,
        0.0516791,
        0.0545097,
        0.056142,
        0.0547897,
        0.056326,
        0.057288,
        0.0582717,
        0.0590184,
        0.0620595,
        0.0626645,
        0.0668142,
        0.0687097,
        0.0711986,
        0.0725839,
        0.0755646,
        0.0799296,
        0.0844279,
        0.0931669,
        0.111824,
        0.112389,
        0.109802,
        0.119449,
        0.13108,
        0.149884,
        0.174395,
        0.207111,
        null,
        0.0374069,
        0.0370876,
        0.0367771,
        0.036367,
        0.035959,
        0.0356715,
        0.0354943,
        0.0351927,
        0.0351081,
        0.0389543,
        0.0366773,
        0.0346052,
        0.0345441,
        0.0345915,
        0.0403602,
        0.0404933,
        0.0351221,
        0.0354263,
        0.0356947,
        0.0357518,
        0.0363088,
        0.0368407,
        0.0366711,
        0.0366997,
        0.0365676,
        0.0362665,
        0.0360157,
        0.036439,
        0.0362109,
        0.035436,
        0.035403,
        0.0356525,
        0.0389304,
        0.0381628,
        0.0353337,
        0.0352904,
        0.035208,
        0.0352179,
        0.0354747,
        0.0356633,
        0.0357666,
        0.0359081,
        0.0359621,
        0.0361846,
        0.0389021,
        0.0391265,
        0.036436,
        0.0368055,
        0.0373546,
        0.0379501,
        0.0387925,
        0.0396814,
        0.0403643,
        0.0413573,
        0.0421572,
        0.0426221,
        0.0433997,
        0.044161,
        0.0442447,
        0.0435845,
        0.0427007,
        0.0422258,
        0.041866,
        0.0419773,
        0.0423773,
        0.0427999,
        0.0451698,
        0.0482854,
        0.0477184,
        0.0476848,
        0.0488299,
        0.049741,
        0.0508382,
        0.0523452,
        0.0543791,
        0.056744,
        0.0590871,
        0.062598,
        0.0677008,
        0.0735661,
        0.0811777,
        0.0917361,
        0.107023,
        0.13689,
        0.166751,
        0.200095,
        0.140551,
        0.117439,
        0.100906,
        0.0883668,
        0.0798172,
        0.0734011,
        0.0682194,
        0.064074,
        0.0612499,
        0.0591915,
        0.0574208,
        0.0557287,
        0.0537743,
        0.0514094,
        0.0488924,
        0.0469687,
        0.0450219,
        0.0433255,
        0.0418933,
        0.040569,
        0.0390249,
        0.0383748,
        0.037374,
        0.0364732,
        0.0358188,
        0.0355034,
        0.0350642,
        0.0349192,
        0.0348949,
        0.0350389,
        0.0352048,
        0.0355532,
        0.0350441,
        0.0344601,
        0.0339449,
        0.0333983,
        0.0330455,
        0.0328132,
        0.0325172,
        0.0322996,
        0.0321109,
        0.0322842,
        0.0323653,
        0.0322886,
        0.0321992,
        0.0320581,
        0.0325785,
        0.0327154,
        0.0320255,
        0.0320973,
        0.0322194,
        0.0321506,
        0.0320911,
        0.0321639,
        0.0333895,
        0.0337901,
        0.0341919,
        0.0333369,
        0.0359265,
        0.0364849,
        0.0339265,
        0.033409,
        0.0327315,
        0.0321203,
        0.0316254,
        0.0313756,
        0.0310624,
        0.0322428,
        0.0325083,
        0.0307609,
        0.0305655,
        0.0302375,
        0.0301679,
        0.0298623,
        0.0296753,
        0.0296839,
        0.0295786,
        0.0294386,
        0.0294038,
        0.0294285,
        0.0296755,
        0.0297666,
        0.0297757,
        0.0322701,
        0.0321503,
        0.0298749,
        0.0297819,
        0.0297532,
        0.0295486,
        0.0293937,
        0.0293704,
        0.0295264,
        0.0295895,
        0.0300377,
        0.0301296,
        0.0305791,
        0.0306294,
        0.0307791,
        0.0312127,
        0.0317064,
        0.0321336,
        0.0330917,
        0.0334564,
        0.0332729,
        0.033703,
        0.0340211,
        0.0347072,
        0.0352723,
        0.0351357,
        0.0374462,
        0.0371472,
        0.0337398,
        0.0335222,
        0.0332788,
        0.0329038,
        0.0328979,
        0.032778,
        0.0327018,
        0.032768,
        0.0330546,
        0.0333657,
        0.0335159,
        0.0335461,
        0.0335116,
        0.0337132,
        0.0339501,
        0.0342562,
        0.0345064,
        0.0351859,
        0.0356174,
        0.0359142,
        0.0363485,
        0.0368025,
        0.037599,
        0.0385702,
        0.039512,
        0.0406006,
        0.0412843,
        0.0429921,
        0.0445622,
        0.046386,
        0.0480394,
        0.0510344,
        0.0542067,
        0.0586789,
        0.0632275,
        0.069284,
        0.077801,
        0.0890549,
        0.104546,
        0.127998,
        0.158188,
        0.128304,
        0.106717,
        0.0917686,
        0.0814618,
        0.0738116,
        0.0673617,
        0.0627945,
        0.059914,
        0.0562201,
        0.0531937,
        0.0511117,
        0.0477518,
        0.0445927,
        0.043219,
        0.0416897,
        0.0404855,
        0.0395857,
        0.0386676,
        0.0376236,
        0.0363547,
        0.0354697,
        0.0348335,
        0.0341702,
        0.0351012,
        0.0349013,
        0.0328098,
        0.0324696,
        0.0321563,
        0.0320254,
        0.0319054,
        0.0320842,
        0.0319935,
        0.0322943,
        0.0327838,
        0.032804,
        0.0325904,
        0.0319693,
        0.0314582,
        0.030816,
        0.030337,
        0.0300081,
        0.0297098,
        0.0293882,
        0.0292316,
        0.029327,
        0.0290948,
        0.0288085,
        0.0301467,
        0.0296987,
        0.0285835,
        0.028418,
        0.0282441,
        0.028427,
        0.0295273,
        0.0318152,
        0.0312295,
        0.0289285,
        0.0284408,
        0.0286338,
        0.0285723,
        0.0287044,
        0.0287485,
        0.0285662,
        0.0284314,
        0.0285082,
        0.0331302,
        0.0327841,
        0.0285625,
        0.0285434,
        0.0284467,
        0.0282641,
        0.0281498,
        0.0282496,
        0.0282745,
        0.028228,
        0.0283761,
        0.0284,
        0.0285535,
        0.0287208,
        0.0289396,
        0.0291178,
        0.0312108,
        0.0317429,
        0.0307722,
        0.0310398,
        0.0309016,
        0.0304611,
        0.0298012,
        0.0293174,
        0.028831,
        0.028467,
        0.0283416,
        0.0290437,
        0.0288096,
        0.0276253,
        0.0276639,
        0.0274329,
        0.0273262,
        0.027387,
        0.0278379,
        0.0292528,
        0.0287733,
        0.0278339,
        0.0280507,
        0.0284073,
        0.028131,
        0.02809,
        0.0279605,
        0.0280422,
        0.0282384,
        0.0283789,
        0.0285535,
        0.0285942,
        0.0286365,
        0.0289638,
        0.0290581,
        0.0289798,
        0.0292445,
        0.0295961,
        0.029802,
        0.0299958,
        0.0303439,
        0.0307354,
        0.0312236,
        0.0340433,
        0.0348459,
        0.0330379,
        0.0335414,
        0.033917,
        0.0350433,
        0.0361486,
        0.0376624,
        0.0402381,
        0.0433835,
        0.0460765,
        0.0478926,
        0.0482287,
        0.0475301,
        0.0463055,
        0.0451072,
        0.0445609,
        0.0445026,
        0.0451658,
        0.0470025,
        0.0489284,
        0.0502282,
        0.0529511,
        0.0558531,
        0.0606599,
        0.0658875,
        0.0733641,
        0.0830124,
        0.0962709,
        0.11634,
        0.146768,
        0.192067,
        0.366768,
        0.22084,
        0.167086,
        0.130494,
        0.106469,
        0.0903822,
        0.079262,
        0.0704266,
        0.0658928,
        0.0593516,
        0.0552558,
        0.0529293,
        0.0508239,
        0.0489776,
        0.047317,
        0.0457731,
        0.0446568,
        0.0426989,
        0.0408302,
        0.0391603,
        0.0380852,
        0.0372941,
        0.0361427,
        0.0354199,
        0.0345013,
        0.0332304,
        0.0327794,
        0.0321625,
        0.0318503,
        0.0316481,
        0.0312011,
        0.0308417,
        0.0304103,
        0.0299187,
        0.0297882,
        0.0296886,
        0.0294855,
        0.0292236,
        0.0288337,
        0.0286498,
        0.0285189,
        0.0283987,
        0.0281434,
        0.0278692,
        0.0278849,
        0.0281504,
        0.0274937,
        0.0273217,
        0.0271685,
        0.0271187,
        0.0271139,
        0.0272296,
        0.0273343,
        0.0277969,
        0.0282246,
        0.0276031,
        0.0278892,
        0.0280324,
        0.0281965,
        0.0284903,
        0.0288463,
        0.0287423,
        0.0295612,
        0.0343469,
        0.0357399,
        0.0331017,
        0.0340719,
        0.0346664,
        0.0385948,
        0.0377914,
        0.0331776,
        0.0322832,
        0.0316389,
        0.0311127,
        0.0307382,
        0.030466,
        0.0304429,
        0.0301112,
        0.0297833,
        0.029501,
        0.0319706,
        0.0304962,
        0.0281255,
        0.0278471,
        0.0274853,
        0.0272764,
        0.0269855,
        0.0266516,
        0.026561,
        0.0269302,
        0.0270892,
        0.0270876,
        0.0270898,
        0.0270007,
        0.0268009,
        0.026423,
        0.0262591,
        0.0263512,
        0.0306056,
        0.0302516,
        0.0261965,
        0.0261626,
        0.0264644,
        0.0265932,
        0.0265731,
        0.0264763,
        0.0266341,
        0.026893,
        0.0271234,
        0.0273573,
        0.0274611,
        0.027852,
        0.0281733,
        0.0285063,
        0.0291179,
        0.0296299,
        0.0305958,
        0.0311502,
        0.0314278,
        0.0311532,
        0.0309061,
        0.0307645,
        0.0304531,
        0.0306646,
        0.030637,
        0.0305759,
        0.0306269,
        0.0308245,
        0.0310211,
        0.0312639,
        0.0315224,
        0.0318505,
        0.0322445,
        0.0326576,
        0.0331109,
        0.0336724,
        0.0343838,
        0.035211,
        0.0364985,
        0.03785,
        0.0393145,
        0.0405877,
        0.0417546,
        0.0422561,
        0.0424633,
        0.0424035,
        0.0426637,
        0.0432819,
        0.043932,
        0.0445504,
        0.0459043,
        0.048033,
        0.0506845,
        0.053746,
        0.0568465,
        0.060962,
        0.0676556,
        0.0750807,
        0.0841791,
        0.100055,
        0.121198,
        0.152145,
        0.204867,
        0.212706,
        0.156064,
        0.122568,
        0.100192,
        0.0836837,
        0.0727664,
        0.0653148,
        0.0591038,
        0.0542689,
        0.0518323,
        0.0491881,
        0.0452749,
        0.0426411,
        0.0407144,
        0.0391238,
        0.0380947,
        0.0371658,
        0.0360417,
        0.0350086,
        0.0341868,
        0.0335058,
        0.032899,
        0.0324627,
        0.032225,
        0.0319511,
        0.0313817,
        0.0308267,
        0.0310951,
        0.0307841,
        0.0301414,
        0.0302468,
        0.030218,
        0.0293272,
        0.0290981,
        0.0289542,
        0.028868,
        0.028663,
        0.0287762,
        0.0286846,
        0.0285396,
        0.0286676,
        0.0290053,
        0.0320103,
        0.0324777,
        0.0299377,
        0.029999,
        0.0312298,
        0.0301394,
        0.0289708,
        0.0285446,
        0.0281915,
        0.0278177,
        0.0276834,
        0.0276962,
        0.0276271,
        0.027743,
        0.0278939,
        0.027987,
        0.0280973,
        0.0286258,
        0.0294155,
        0.0303887,
        0.0322196,
        0.0350583,
        0.038995,
        0.0435701,
        0.0478035,
        0.0496607,
        0.0478373,
        0.043575,
        0.0393129,
        0.0362846,
        0.0325555,
        0.0305332,
        0.0290117,
        0.028643,
        0.0279531,
        0.0276149,
        0.0274072,
        0.0271756,
        0.027101,
        0.0268826,
        0.026832,
        0.0270027,
        0.0268651,
        0.0268862,
        0.0268731,
        0.0268971,
        0.0271103,
        0.0272248,
        0.0272016,
        0.0272746,
        0.0273064,
        0.0279949,
        0.027767,
        0.0278654,
        0.0282944,
        0.0287374,
        0.0290367,
        0.0290764,
        0.028709,
        0.0284856,
        0.0280334,
        0.0276661,
        0.0271263,
        0.0268003,
        0.0266355,
        0.0262683,
        0.0259908,
        0.0258208,
        0.0257964,
        0.0258013,
        0.0256865,
        0.025474,
        0.0255337,
        0.0255655,
        0.0254438,
        0.0255071,
        0.0259255,
        0.0285704,
        0.0277696,
        0.0261559,
        0.0286162,
        0.0287593,
        0.0276798,
        0.0275436,
        0.0268992,
        0.0271946,
        0.0273951,
        0.027695,
        0.0282143,
        0.0285897,
        0.0287139,
        0.0286175,
        0.0288914,
        0.0290609,
        0.0293925,
        0.0294607,
        0.0300019,
        0.0304684,
        0.031249,
        0.0318349,
        0.0324405,
        0.0333025,
        0.0344607,
        0.0353014,
        0.036231,
        0.0370343,
        0.0382858,
        0.0393507,
        0.0411023,
        0.0431422,
        0.0454325,
        0.047196,
        0.0497754,
        0.0514625,
        0.0545797,
        0.0581083,
        0.0614868,
        0.0680654,
        0.0773152,
        0.0987407,
        0.117448,
        0.13171,
        0.173973,
        0.241941,
        0.166643,
        0.129253,
        0.10431,
        0.0863494,
        0.0743368,
        0.0653154,
        0.0586551,
        0.0540704,
        0.0501129,
        0.0471105,
        0.0445403,
        0.042287,
        0.0404687,
        0.038781,
        0.0379149,
        0.0368583,
        0.0356468,
        0.0352105,
        0.0349656,
        0.0342928,
        0.033826,
        0.0338953,
        0.0339208,
        0.0336571,
        0.0335844,
        0.0339724,
        0.0341808,
        0.0348765,
        0.0352429,
        0.0353095,
        0.035327,
        0.0346376,
        0.0333208,
        0.0325097,
        0.0321103,
        0.0315998,
        0.0308519,
        0.0302202,
        0.0295891,
        0.0290302,
        0.0287698,
        0.0283655,
        0.0296613,
        0.0331685,
        0.0295175,
        0.0277742,
        0.0276131,
        0.0275273,
        0.027761,
        0.028084,
        0.0283021,
        0.028656,
        0.0291613,
        0.029534,
        0.0297177,
        0.0299304,
        0.0298407,
        0.0298477,
        0.0293477,
        0.0287282,
        0.0282047,
        0.0277563,
        0.027313,
        0.027042,
        0.0267487,
        0.0265385,
        0.026506,
        0.0263275,
        0.0264873,
        0.0265553,
        0.0266885,
        0.0268852,
        0.0271299,
        0.0268664,
        0.0272807,
        0.0274686,
        0.0277907,
        0.0281851,
        0.0285205,
        0.0288213,
        0.0300024,
        0.0300212,
        0.0302907,
        0.0304117,
        0.0299838,
        0.0294174,
        0.0329092,
        0.0325392,
        0.0277773,
        0.0274141,
        0.0270232,
        0.0268918,
        0.0267959,
        0.0266307,
        0.02683,
        0.0266993,
        0.0267585,
        0.0266398,
        0.0265986,
        0.0275366,
        0.0280742,
        0.0265878,
        0.0268391,
        0.0266912,
        0.026733,
        0.0267043,
        0.0265633,
        0.0265976,
        0.0265864,
        0.0264433,
        0.0263406,
        0.0264278,
        0.026525,
        0.026931,
        0.0268109,
        0.0268029,
        0.0282691,
        0.0279747,
        0.0273415,
        0.0274308,
        0.0276738,
        0.0278111,
        0.0279527,
        0.0279956,
        0.0282503,
        0.0285622,
        0.0288004,
        0.032638,
        0.0323782,
        0.0287678,
        0.0297497,
        0.030076,
        0.0303107,
        0.030672,
        0.0317168,
        0.0348754,
        0.0365468,
        0.0361398,
        0.0376806,
        0.038276,
        0.0379462,
        0.0369915,
        0.0358442,
        0.0349474,
        0.0344861,
        0.0341207,
        0.0341618,
        0.0341896,
        0.0347002,
        0.0359628,
        0.0371257,
        0.0368195,
        0.0376141,
        0.0385898,
        0.039883,
        0.0413707,
        0.0436614,
        0.0460109,
        0.0488202,
        0.0524819,
        0.0566538,
        0.0625038,
        0.0697608,
        0.0857221,
        0.100756,
        0.112392,
        0.139937,
        0.18591,
        0.271228,
        0.224874,
        0.165099,
        0.122795,
        0.0999815,
        0.0835579,
        0.0731103,
        0.0649334,
        0.0584512,
        0.0533955,
        0.049926,
        0.0476047,
        0.0458772,
        0.0441031,
        0.0428885,
        0.0418383,
        0.0403517,
        0.0386995,
        0.037273,
        0.0363329,
        0.0356498,
        0.0349991,
        0.0340889,
        0.033259,
        0.0330996,
        0.0329926,
        0.0325057,
        0.0320498,
        0.0315919,
        0.0312179,
        0.0313188,
        0.0308872,
        0.0301741,
        0.0298887,
        0.0296739,
        0.0295762,
        0.0295041,
        0.0330865,
        0.0347634,
        0.0288253,
        0.0286362,
        0.0286782,
        0.0286041,
        0.0285317,
        0.0285286,
        0.0286815,
        0.0309407,
        0.0312022,
        0.0287581,
        0.0312437,
        0.0309486,
        0.0285932,
        0.0286915,
        0.0288977,
        0.028964,
        0.0290618,
        0.0285041,
        0.0283602,
        0.0283715,
        0.0283126,
        0.0284135,
        0.028358,
        0.0283985,
        0.0282706,
        0.0281842,
        0.0296152,
        0.0303837,
        0.0306278,
        0.0298485,
        0.0300342,
        0.0325687,
        0.0334718,
        0.0303592,
        0.0302664,
        0.0297472,
        0.0293952,
        0.0293347,
        0.0326933,
        0.0324771,
        0.0290524,
        0.0292178,
        0.0294445,
        0.0295664,
        0.0295663,
        0.0292624,
        0.0292501,
        0.02917,
        0.0309163,
        0.030002,
        0.0295063,
        0.0299195,
        0.030109,
        0.0328949,
        0.0339813,
        0.0312428,
        0.0313611,
        0.0312355,
        0.0313087,
        0.0313738,
        0.0313835,
        0.0309704,
        0.0312204,
        0.0314987,
        0.0302502,
        0.0298677,
        0.0298452,
        0.029779,
        0.0299058,
        0.0299552,
        0.0296136,
        0.0295902,
        0.0296502,
        0.0299299,
        0.0299236,
        0.0299754,
        0.0299067,
        0.0299878,
        0.0299897,
        0.0298989,
        0.0301085,
        0.0301828,
        0.0304618,
        0.0306789,
        0.0310465,
        0.0318174,
        0.0325945,
        0.0327269,
        0.0330925,
        0.033724,
        0.0334736,
        0.0333175,
        0.0330118,
        0.0326813,
        0.0322918,
        0.0317517,
        0.0314004,
        0.0310974,
        0.0305822,
        0.0304237,
        0.0302633,
        0.0301665,
        0.029969,
        0.0297634,
        0.0295378,
        0.0322227,
        0.0319923,
        0.029477,
        0.0295271,
        0.0297213,
        0.0300106,
        0.0306237,
        0.0311969,
        0.0315954,
        0.0321354,
        0.0326212,
        0.0332803,
        0.0341192,
        0.0391124,
        0.0402124,
        0.0372786,
        0.0383374,
        0.0398535,
        0.0420648,
        0.0445066,
        0.0479798,
        0.0515757,
        0.055255,
        0.0614825,
        0.0694078,
        0.0794292,
        0.0951905,
        0.117749,
        0.150455,
        0.20061,
        0.180611,
        0.136534,
        0.108997,
        0.0893015,
        0.0757706,
        0.0718499,
        0.064238,
        0.0541399,
        0.0555727,
        0.0513704,
        0.043378,
        0.0439505,
        0.0420273,
        0.0385164,
        0.0367264,
        0.0363317,
        0.0351753,
        0.03375,
        0.0332844,
        0.0328179,
        0.0321564,
        0.0313388,
        0.0309099,
        0.0307377,
        0.0304508,
        0.0304083,
        0.0305046,
        0.0299721,
        0.0299311,
        0.0301293,
        0.0301546,
        0.0298042,
        0.029869,
        0.0299431,
        0.0320939,
        0.0314674,
        0.030977,
        0.0311121,
        0.0312501,
        0.031389,
        0.0314427,
        0.0317664,
        0.0315502,
        0.0312076,
        0.0312341,
        0.0311756,
        0.0307574,
        0.0305006,
        0.0302931,
        0.0300545,
        0.0301028,
        0.0299185,
        0.0302327,
        0.0301419,
        0.0303344,
        0.0306269,
        0.0310171,
        0.0315295,
        0.0320072,
        0.0321475,
        0.0321472,
        0.0315618,
        0.0312496,
        0.0308681,
        0.0343128,
        0.0335004,
        0.0289337,
        0.0283482,
        0.028249,
        0.02791,
        0.0278562,
        0.0281413,
        0.0282234,
        0.0273901,
        0.0269592,
        0.0268797,
        0.026839,
        0.0267852,
        0.0268053,
        0.0266584,
        0.0284479,
        0.0275099,
        0.0267339,
        0.0269518,
        0.027159,
        0.0272596,
        0.0273142,
        0.0272452,
        0.026846,
        0.0263629,
        0.0263166,
        0.0262574,
        0.0262315,
        0.0262713,
        0.026371,
        0.0264098,
        0.0268273,
        0.0273281,
        0.0288823,
        0.0281018,
        0.0273246,
        0.0273954,
        0.0274217,
        0.0273646,
        0.027532,
        0.0276568,
        0.0277839,
        0.0280015,
        0.0283812,
        0.0293236,
        0.0297521,
        0.0289392,
        0.0288767,
        0.0292674,
        0.0297219,
        0.0301971,
        0.0305496,
        0.0310138,
        0.0312901,
        0.03096,
        0.0304724,
        0.0302665,
        0.0301465,
        0.0298544,
        0.0299497,
        0.0296315,
        0.0296079,
        0.0298151,
        0.0298423,
        0.0298718,
        0.0293586,
        0.0289748,
        0.0291394,
        0.0285479,
        0.0294377,
        0.0291429,
        0.0299165,
        0.029909,
        0.0291104,
        0.0293592,
        0.0295504,
        0.0295635,
        0.02926,
        0.0294449,
        0.0296918,
        0.0296359,
        0.0299373,
        0.0299988,
        0.0306441,
        0.0311414,
        0.0384321,
        0.0384929,
        0.0317296,
        0.0325635,
        0.033311,
        0.0337759,
        0.0342208,
        0.0347668,
        0.0356041,
        0.0364096,
        0.0371368,
        0.0380228,
        0.0395337,
        0.0412246,
        0.0427388,
        0.0450126,
        0.0475341,
        0.0505267,
        0.0542735,
        0.0597715,
        0.0667956,
        0.0762852,
        0.101036,
        0.122278,
        0.139307,
        0.188778,
        0.181313,
        0.135472,
        0.106285,
        0.0896112,
        0.0761878,
        0.0668238,
        0.0606053,
        0.055399,
        0.0516443,
        0.0480497,
        0.0466154,
        0.0449061,
        0.0425458,
        0.0409881,
        0.0395306,
        0.0382378,
        0.0370823,
        0.0365091,
        0.0356677,
        0.0349613,
        0.0347301,
        0.0344434,
        0.0342889,
        0.0334748,
        0.0327942,
        0.0325183,
        0.0322384,
        0.0321651,
        0.0320546,
        0.0327053,
        0.0322181,
        0.0319907,
        0.0318528,
        0.0321108,
        0.0318723,
        0.0316536,
        0.0316898,
        0.0315433,
        0.0316948,
        0.0318643,
        0.0314721,
        0.0314831,
        0.0315697,
        0.0316594,
        0.0316818,
        0.0321707,
        0.032446,
        0.0325609,
        0.0331484,
        0.0334608,
        0.033973,
        0.0344478,
        0.0347379,
        0.0344817,
        0.0368228,
        0.0348893,
        0.0334216,
        0.033451,
        0.0330304,
        0.0328816,
        0.0328203,
        0.0332979,
        0.0364227,
        0.0364221,
        0.0328993,
        0.03289,
        0.0331169,
        0.0333648,
        0.0338066,
        0.035024,
        0.0347478,
        0.0341373,
        0.0343791,
        0.0348317,
        0.0355548,
        0.0362257,
        0.0363767,
        0.0369601,
        0.0377563,
        0.0391268,
        0.0402837,
        0.0415812,
        0.0426388,
        0.0429384,
        0.042786,
        0.0430821,
        0.0429651,
        0.0432826,
        0.045143,
        0.0450658,
        0.0431556,
        0.0435897,
        0.0442485,
        0.0447326,
        0.0457635,
        0.0469587,
        0.0481092,
        0.0502119,
        0.051793,
        0.0547756,
        0.0619249,
        0.0658416,
        0.0666701,
        0.0707914,
        0.0768358,
        0.0855799,
        0.0960744,
        0.11005,
        0.130978,
        0.161772,
        0.204097,
        0.266463,
        0.305649,
        0.228389,
        0.168178,
        0.161095,
        0.136623,
        0.103921,
        0.0932209,
        0.0844676,
        0.0816885,
        0.0733614,
        0.0673231,
        0.0635177,
        0.0602019,
        0.0574592,
        0.055398,
        0.0573354,
        0.0563218,
        0.0512657,
        0.0506709,
        0.0499834,
        0.0495352,
        0.0492815,
        0.0486955,
        0.0483742,
        0.0476337,
        0.0466029,
        0.0453815,
        0.0438882,
        0.0434928,
        0.0427386,
        0.0421503,
        0.0419258,
        0.0422776,
        0.0420699,
        0.0418376,
        0.0419666,
        0.0419728,
        0.0426719,
        0.0432628,
        0.0438887,
        0.0450836,
        0.0463716,
        0.0471578,
        0.0482211,
        0.0505376,
        0.0527643,
        0.0557914,
        0.0600528,
        0.0652995,
        0.0717783,
        0.0805309,
        0.0920496,
        0.106249,
        0.127532,
        0.163658,
        0.217952,
        0.313287,
        0.296518,
        0.207296,
        0.152447,
        0.121147,
        0.100435,
        0.0856668,
        0.0754071,
        0.0676884,
        0.0619604,
        0.0577142,
        0.0554379,
        0.051651,
        0.0490185,
        0.0466214,
        0.0458025,
        0.0447791,
        0.043641,
        0.0428402,
        0.0416698,
        0.0411365,
        0.0402741,
        0.0400711,
        0.0402251,
        0.0397966,
        0.0389863,
        0.0384452,
        0.0378831,
        0.0377474,
        0.0369862,
        0.0363849,
        0.0360843,
        0.035875,
        0.0357788,
        0.0353609,
        0.0352771,
        0.0350929,
        0.0358729,
        0.0357797,
        0.035629,
        0.0358155,
        0.035641,
        0.0353608,
        0.0349769,
        0.0370649,
        0.0373312,
        0.0355054,
        0.0359141,
        0.0362086,
        0.0358417,
        0.0356238,
        0.0355503,
        0.03499,
        0.0345014,
        0.0341511,
        0.0339902,
        0.0339637,
        0.0342845,
        0.0343231,
        0.033995,
        0.0338344,
        0.0342323,
        0.0344322,
        0.0344528,
        0.0346315,
        0.0349108,
        0.0349497,
        0.0353637,
        0.0355776,
        0.0349254,
        0.0343368,
        0.0343784,
        0.0345936,
        0.0346172,
        0.0346142,
        0.0348895,
        0.0351721,
        0.0348745,
        0.034765,
        0.0347711,
        0.0348578,
        0.0354778,
        0.0350734,
        0.034934,
        0.0349461,
        0.0351216,
        0.035109,
        0.0345709,
        0.0348048,
        0.0350881,
        0.0351942,
        0.0360051,
        0.0357758,
        0.0351444,
        0.035199,
        0.0354731,
        0.0353908,
        0.0350195,
        0.0349853,
        0.0352171,
        0.0354348,
        0.0349492,
        0.0349946,
        0.0353274,
        0.0354537,
        0.0356323,
        0.0353989,
        0.0358741,
        0.036131,
        0.0366385,
        0.0371039,
        0.0375897,
        0.0372422,
        0.0422708,
        0.0425084,
        0.0365788,
        0.0364823,
        0.0363274,
        0.0363077,
        0.0365505,
        0.0363925,
        0.0362499,
        0.0363677,
        0.0367075,
        0.036932,
        0.0370901,
        0.0378287,
        0.037545,
        0.0395621,
        0.0402211,
        0.0384061,
        0.0384098,
        0.0385994,
        0.0387939,
        0.0391305,
        0.0388017,
        0.0388633,
        0.0388535,
        0.0389411,
        0.0393106,
        0.0393433,
        0.0394492,
        0.0399869,
        0.0404574,
        0.0407059,
        0.0403744,
        0.04068,
        0.0406744,
        0.041254,
        0.0411343,
        0.0408531,
        0.0416208,
        0.045899,
        0.0458751,
        0.0427188,
        0.0426447,
        0.0427817,
        0.0433172,
        0.0439786,
        0.0439771,
        0.0442593,
        0.0447545,
        0.0446941,
        0.0451471,
        0.0455801,
        0.0464446,
        0.0472531,
        0.0499526,
        0.0504958,
        0.0532159,
        0.0541829,
        0.0521143,
        0.0541634,
        0.0558457,
        0.0652116,
        0.0668306,
        0.0624664,
        0.0645161,
        0.0685669,
        0.0726569,
        0.0777276,
        0.085766,
        0.101339,
        0.120354,
        0.13972,
        0.177334,
        0.181384,
        0.144074,
        0.121595,
        0.108327,
        0.100824,
        0.0921346,
        0.0842829,
        0.0813347,
        0.0787064,
        0.0768201,
        0.0751339,
        0.0752882,
        0.0763784,
        0.0766389,
        0.0779959,
        0.0793024,
        0.0788533,
        0.0794739,
        0.0811451,
        0.0823072,
        0.0843588,
        0.0876332,
        0.0896721,
        0.092139,
        0.0948126,
        0.0985514,
        0.104179,
        0.110262,
        0.114193,
        0.119845,
        0.126965,
        0.13646,
        0.146157,
        0.155904,
        0.165511,
        0.17989,
        0.195457,
        0.219152,
        0.284292,
        0.311135,
        0.277912,
        0.247543,
        0.220656,
        0.198059,
        0.181144,
        0.166251,
        0.153631,
        0.142747,
        0.13342,
        0.125224,
        0.117649,
        0.112373,
        0.108507,
        0.10361,
        0.0996538,
        0.0951279,
        0.0906011,
        0.0888208,
        0.0861907,
        0.0842745,
        0.0812104,
        0.0789866,
        0.0844351,
        0.0832555,
        0.0758949,
        0.0750503,
        0.0715416,
        0.0704111,
        0.0774167,
        0.0743382,
        0.0644901,
        0.0633227,
        0.0618919,
        0.0612704,
        0.0609034,
        0.0593949,
        0.059121,
        0.0584392,
        0.0572722,
        0.0564392,
        0.0545343,
        0.0538107,
        0.0536916,
        0.0538185,
        0.0523009,
        0.0516328,
        0.0514844,
        0.0511985,
        0.0509124,
        0.0507169,
        0.0506272,
        0.0507279,
        0.0501854,
        0.0497618,
        0.0496748,
        0.0495667,
        0.0491839,
        0.0492079,
        0.0490051,
        0.0492205,
        0.0489682,
        0.0490764,
        0.048826,
        0.0484423,
        0.049839,
        0.0499379,
        0.0485227,
        0.0484837,
        0.0486912,
        0.0490059,
        0.048911,
        0.0487013,
        0.0489207,
        0.0496855,
        0.0492248,
        0.0495842,
        0.0499135,
        0.0499905,
        0.050126,
        0.0507792,
        0.0507881,
        0.0508581,
        0.0512182,
        0.0518335,
        0.0548416,
        0.0560299,
        0.053585,
        0.0536769,
        0.0554327,
        0.0570404,
        0.056995,
        0.0608658,
        0.0636549,
        0.059373,
        0.0603952,
        0.063331,
        0.0664843,
        0.0707609,
        0.076647,
        0.0849783,
        0.0952424,
        0.109743,
        0.133923,
        0.170626,
        0.223917,
        0.207873,
        0.160263,
        0.128046,
        0.109151,
        0.0975499,
        0.082386,
        0.0740167,
        0.0688497,
        0.06443,
        0.0614234,
        0.0587174,
        0.0576154,
        0.0559192,
        0.0544309,
        0.0529618,
        0.0530657,
        0.0529577,
        0.0522973,
        0.0510894,
        0.0505548,
        0.0493436,
        0.04955,
        0.0502476,
        0.0498945,
        0.0497717,
        0.0498505,
        0.0494972,
        0.0492797,
        0.0485102,
        0.0490451,
        0.049832,
        0.0497735,
        0.0498377,
        0.0495432,
        0.0495033,
        0.0499045,
        0.0507479,
        0.0501926,
        0.049619,
        0.0493916,
        0.0501731,
        0.0501203,
        0.0507071,
        0.0512633,
        0.0519448,
        0.0518649,
        0.0522526,
        0.0530487,
        0.0527261,
        0.0521552,
        0.0518219,
        0.0515593,
        0.0510103,
        0.0508278,
        0.0502671,
        0.0499223,
        0.0502489,
        0.0493129,
        0.0496622,
        0.0495462,
        0.0499502,
        0.0493339,
        0.0491217,
        0.0495362,
        0.0501408,
        0.0506429,
        0.0509857,
        0.0509846,
        0.0512958,
        0.0508273,
        0.0509442,
        0.0515213,
        0.0522312,
        0.0526011,
        0.0525104,
        0.0524551,
        0.0525129,
        0.0527715,
        0.0535106,
        0.0536134,
        0.0537856,
        0.053939,
        0.0544467,
        0.0544263,
        0.0548469,
        0.0553634,
        0.0558684,
        0.0557709,
        0.0565063,
        0.0591254,
        0.0594924,
        0.05842,
        0.0627125,
        0.0646506,
        0.0605397,
        0.0610233,
        0.0610305,
        0.0620913,
        0.0631032,
        0.0638202,
        0.0637299,
        0.0647783,
        0.0651124,
        0.0655561,
        0.0660109,
        0.0678202,
        0.0687932,
        0.0694691,
        0.0698562,
        0.0702057,
        null,
        0.0389479,
        0.0382935,
        0.0378644,
        0.0377395,
        0.0375761,
        0.0373559,
        0.0370649,
        0.036761,
        0.0362862,
        0.0359814,
        0.0360341,
        0.0361518,
        0.0358023,
        0.0355884,
        0.0354054,
        0.0355117,
        0.0354761,
        0.0352828,
        0.0351533,
        0.0350855,
        0.0352314,
        0.0354045,
        0.035344,
        0.0354236,
        0.0355259,
        0.0355436,
        0.0357642,
        0.0360146,
        0.0362154,
        0.0363798,
        0.0365221,
        0.0363944,
        0.0363083,
        0.0361931,
        0.0360983,
        0.0361374,
        0.036077,
        0.0358854,
        0.0355906,
        0.0351147,
        0.0349657,
        0.034814,
        0.0346992,
        0.0345315,
        0.0343909,
        0.034518,
        0.0345417,
        0.0344057,
        0.0344763,
        0.0345387,
        0.0344341,
        0.0341186,
        0.0356425,
        0.0353266,
        0.0336711,
        0.0333275,
        0.0332115,
        0.0332322,
        0.0329109,
        0.0326032,
        0.032426,
        0.0322611,
        0.0319858,
        0.0318739,
        0.0320953,
        0.0322,
        0.032391,
        0.0325866,
        0.0328451,
        0.032935,
        0.033987,
        0.0345382,
        0.0333522,
        0.0329909,
        0.03285,
        0.0326122,
        0.0326182,
        0.0327233,
        0.0329,
        0.0329499,
        0.0329536,
        0.0329646,
        0.03285,
        0.032755,
        0.0329139,
        0.0329915,
        0.0355316,
        0.0358597,
        0.0334072,
        0.0335717,
        0.0336001,
        0.0330719,
        0.0331073,
        0.0330121,
        0.032772,
        0.0323656,
        0.032353,
        0.0322631,
        0.0322309,
        0.0321352,
        0.032264,
        0.0321291,
        0.0318807,
        0.031818,
        0.032046,
        0.0320721,
        0.0320619,
        0.0322072,
        0.0321435,
        0.0319818,
        0.0318078,
        0.0317425,
        0.0314936,
        0.0313449,
        0.0311324,
        0.0310686,
        0.0309261,
        0.0308279,
        0.030964,
        0.0308913,
        0.0309266,
        0.0309018,
        0.0309405,
        0.031009,
        0.0312058,
        0.0312457,
        0.0312345,
        0.0315128,
        0.0315913,
        0.0317617,
        0.0320959,
        0.0323761,
        0.032583,
        0.0330748,
        0.0333753,
        0.0340548,
        0.0346709,
        0.0355539,
        0.0369329,
        0.0389637,
        0.0412609,
        0.0437915,
        0.0470494,
        0.052025,
        0.0595883,
        0.0689585,
        0.0792099,
        0.0853602,
        0.0834536,
        0.0747604,
        0.0648569,
        0.0572244,
        0.0507616,
        0.0465829,
        0.0434989,
        0.0409385,
        0.0389416,
        0.037496,
        0.0363743,
        0.0355933,
        0.0358019,
        0.035483,
        0.0340836,
        0.0337616,
        0.0337441,
        0.0337135,
        0.0335233,
        0.0334982,
        0.0331961,
        0.0328952,
        0.0327458,
        0.0327002,
        0.0325134,
        0.0333386,
        0.0335331,
        0.0326188,
        0.0329572,
        0.0336135,
        0.0341429,
        0.0345501,
        0.0376374,
        0.037496,
        0.0345635,
        0.0348178,
        0.0347278,
        0.0344025,
        0.0340416,
        0.0337648,
        0.0336317,
        0.0340647,
        0.0341285,
        0.0342778,
        0.034301,
        0.0341696,
        0.0339422,
        0.033904,
        0.0339277,
        0.0340641,
        0.0344776,
        0.0348421,
        0.0352016,
        0.0359786,
        0.0369397,
        0.0374294,
        0.0374643,
        0.0374826,
        0.0376667,
        0.0375734,
        0.0379184,
        0.0384748,
        0.0386677,
        0.039228,
        0.0399503,
        0.0407012,
        0.0409972,
        0.0411605,
        0.0411667,
        0.0415671,
        0.0422625,
        0.0433175,
        0.044383,
        0.0461512,
        0.0476474,
        0.0486909,
        0.0497072,
        0.0505121,
        0.0522944,
        0.0541694,
        0.0572894,
        0.0609173,
        0.0644341,
        0.0695067,
        0.0745462,
        0.0798139,
        0.0852813,
        0.0934588,
        0.103435,
        0.116401,
        0.136699,
        0.16708,
        0.211913,
        0.275123,
        0.262642,
        0.20953,
        0.172318,
        0.143855,
        0.124482,
        0.111582,
        0.101598,
        0.0944786,
        0.0889763,
        0.0833339,
        0.0778464,
        0.0739634,
        0.0717666,
        0.0699874,
        0.0676775,
        0.0648096,
        0.0630665,
        0.0621132,
        0.0621429,
        0.0620291,
        0.0613072,
        0.0603411,
        0.0597462,
        0.059825,
        0.0600993,
        0.0597036,
        0.059441,
        0.0591488,
        0.0590513,
        0.0591927,
        0.058936,
        0.0589027,
        0.0586496,
        0.0585712,
        0.058121,
        0.0572605,
        0.0552976,
        0.0531094,
        0.0501391,
        0.0466398,
        0.0433456,
        0.0403974,
        0.0380649,
        0.0364445,
        0.03583,
        0.0354558,
        0.0350299,
        0.0348925,
        0.0348959,
        0.0350443,
        0.0349006,
        0.0346879,
        0.0350382,
        0.0356988,
        0.0365855,
        0.0382615,
        0.0407906,
        0.0438732,
        0.0479455,
        0.0531488,
        0.0583376,
        0.0609298,
        0.0584735,
        0.0533212,
        0.0483191,
        0.0438336,
        0.0402835,
        0.0376503,
        0.0358845,
        0.0348112,
        0.0337162,
        0.0328205,
        0.0322345,
        0.0317716,
        0.0311867,
        0.0325469,
        0.0318627,
        0.0304697,
        0.0301924,
        0.0298004,
        0.0295999,
        0.0294302,
        0.0292484,
        0.029193,
        0.0289855,
        0.028849,
        0.0289065,
        0.0287821,
        0.0285108,
        0.0284383,
        0.0283774,
        0.0281599,
        0.028177,
        0.0282788,
        0.028247,
        0.0278337,
        0.0276912,
        0.029162,
        0.0289834,
        0.0274971,
        0.0271202,
        0.028686,
        0.0286197,
        0.0266747,
        0.0265964,
        0.0266517,
        0.026351,
        0.0263015,
        0.0261772,
        0.0261454,
        0.0260233,
        0.0260314,
        0.0260551,
        0.0260388,
        0.0261162,
        0.0261877,
        0.0262609,
        0.0261939,
        0.0262749,
        0.0262893,
        0.0263128,
        0.026411,
        0.0265919,
        0.0264102,
        0.026747,
        0.0269222,
        0.0267683,
        0.0268358,
        0.0269372,
        0.0269262,
        0.0276168,
        0.0279532,
        0.0273575,
        0.0274443,
        0.0277412,
        0.0276661,
        0.0277424,
        0.0278895,
        0.0278726,
        0.0277756,
        0.0278052,
        0.029436,
        0.0296976,
        0.0271183,
        0.0270303,
        0.0269009,
        0.0267522,
        0.02672,
        0.0266376,
        0.0267305,
        0.0267882,
        0.0265068,
        0.026477,
        0.0263355,
        0.0260819,
        0.0259953,
        0.0258942,
        0.0258393,
        0.0257389,
        0.0257221,
        0.0260997,
        0.0263027,
        0.0256556,
        0.0256174,
        0.0257727,
        0.0255683,
        0.0254162,
        0.0253553,
        0.0253012,
        0.0278616,
        0.0276717,
        0.0253161,
        0.0253362,
        0.0250851,
        0.0249677,
        0.0250612,
        0.0252159,
        0.0252924,
        0.0253474,
        0.0252457,
        0.0254084,
        0.0254333,
        0.0254804,
        0.0255293,
        0.0256136,
        0.0257214,
        0.0259586,
        0.0261526,
        0.0264051,
        0.0264191,
        0.0265704,
        0.026497,
        0.0264947,
        0.0265675,
        0.026502,
        0.0264943,
        0.0264047,
        0.0262913,
        0.0261671,
        0.0261424,
        0.0261449,
        0.0261609,
        0.0261607,
        0.0261778,
        0.0263535,
        0.0265437,
        0.0264901,
        0.0266884,
        0.026809,
        0.026711,
        0.026826,
        0.0268298,
        0.0267056,
        0.0267429,
        0.0272024,
        0.0276753,
        0.0278989,
        0.0283268,
        0.0282495,
        0.0285492,
        0.028759,
        0.0287002,
        0.0289745,
        0.0292307,
        0.0295229,
        0.0303214,
        0.0312242,
        0.0320261,
        0.0340875,
        0.0367554,
        0.039594,
        0.0423478,
        0.0434698,
        0.042484,
        0.0399829,
        0.0374758,
        0.0349457,
        0.033126,
        0.0319939,
        0.0310036,
        0.0303447,
        0.0301607,
        0.0300208,
        0.0295663,
        0.0294195,
        0.0294993,
        0.0290369,
        0.0282984,
        0.0278362,
        0.0274176,
        0.0272374,
        0.027396,
        0.0274954,
        0.027547,
        0.0277907,
        0.0278911,
        0.0279232,
        0.0279923,
        0.028408,
        0.0287539,
        0.0290778,
        0.0293029,
        0.029437,
        0.030283,
        0.0295534,
        0.0284018,
        0.0282837,
        0.027257,
        0.0267522,
        0.0263272,
        0.0261591,
        0.0259949,
        0.0258877,
        0.0256389,
        0.0254407,
        0.0253699,
        0.0253338,
        0.0252136,
        0.0252459,
        0.0251202,
        0.0253765,
        0.0253918,
        0.0252178,
        0.0250079,
        0.0248399,
        0.0245507,
        0.0245562,
        0.024545,
        0.0245104,
        0.0243635,
        0.0245289,
        0.0246547,
        0.0247168,
        0.024822,
        0.0248099,
        0.0245242,
        0.0244639,
        0.0245902,
        0.0248428,
        0.024988,
        0.0252476,
        0.0253165,
        0.0255291,
        0.0256848,
        0.0259276,
        0.0259792,
        0.0258448,
        0.0258152,
        0.0257804,
        0.0258192,
        0.0262424,
        0.026404,
        0.0262431,
        0.0262897,
        0.0263258,
        0.0262599,
        0.0263543,
        0.0264315,
        0.0263587,
        0.0264167,
        0.0264524,
        0.0265472,
        0.0266452,
        0.0265544,
        0.0265211,
        0.0264101,
        0.0273307,
        0.0276706,
        0.0264483,
        0.0264337,
        0.0265511,
        0.0264985,
        0.0263944,
        0.0262159,
        0.0261284,
        0.0260686,
        0.0261284,
        0.0261078,
        0.0260362,
        0.0262701,
        0.0263746,
        0.0262936,
        0.0261208,
        0.0260918,
        0.0262913,
        0.0262377,
        0.0265207,
        0.026678,
        0.0268937,
        0.0272276,
        0.0274374,
        0.0274785,
        0.0277043,
        0.0278978,
        0.0282226,
        0.0300216,
        0.0301002,
        0.0285443,
        0.0296104,
        0.0298526,
        0.0290289,
        0.0292032,
        0.0294674,
        0.0298683,
        0.0303069,
        0.0304916,
        0.0309983,
        0.03181,
        0.0323254,
        0.0331736,
        0.0343635,
        0.0353862,
        0.0368735,
        0.0387578,
        0.0404393,
        0.0426754,
        0.0450624,
        0.0481383,
        0.0515008,
        0.055634,
        0.0610391,
        0.0671189,
        0.0745863,
        0.0858011,
        0.0996349,
        0.119496,
        0.142831,
        0.155481,
        0.17453,
        0.180424,
        0.172606,
        0.155457,
        0.136813,
        0.116798,
        0.0994641,
        0.0856535,
        0.0767662,
        0.0704137,
        0.0614042,
        0.0568159,
        0.0532645,
        0.0510649,
        0.0495636,
        0.0492558,
        0.0492744,
        0.0498572,
        0.0491196,
        0.0460583,
        0.0430396,
        0.0400734,
        0.0374944,
        0.0356165,
        0.0338272,
        0.0325206,
        0.0313373,
        0.0306542,
        0.0300249,
        0.0298171,
        0.0292441,
        0.0282326,
        0.0280896,
        0.0278021,
        0.0276035,
        0.0275651,
        0.0271782,
        0.0271057,
        0.0269519,
        0.0270299,
        0.0269301,
        0.0268493,
        0.0269167,
        0.0268374,
        0.0269133,
        0.0268812,
        0.0269539,
        0.0269015,
        0.0266186,
        0.0264698,
        0.026766,
        0.026447,
        0.026628,
        0.0287605,
        0.0325352,
        0.0278043,
        0.0265405,
        0.0263928,
        0.026281,
        0.0263113,
        0.0263018,
        0.0261368,
        0.0260602,
        0.0265603,
        0.0266458,
        0.0261455,
        0.0260659,
        0.0260406,
        0.0270653,
        0.0268143,
        0.0258909,
        0.0258322,
        0.0260011,
        0.0257583,
        0.0259813,
        0.0268243,
        0.0270614,
        0.0264623,
        0.0265975,
        0.0263107,
        0.026287,
        0.0263561,
        0.0264732,
        0.0266719,
        0.0264647,
        0.025537,
        0.0252367,
        0.0250413,
        0.0248453,
        0.0248296,
        0.0246961,
        0.024656,
        0.0245684,
        0.024519,
        0.0247586,
        0.0247009,
        0.0257169,
        0.024883,
        0.0244179,
        0.0245462,
        0.0249098,
        0.0250894,
        0.0249704,
        0.0252681,
        0.0250908,
        0.0248874,
        0.0248325,
        0.0247948,
        0.0248883,
        0.0248669,
        0.0249098,
        0.0250411,
        0.0251806,
        0.025385,
        0.0252655,
        0.0252528,
        0.0254318,
        0.0254771,
        0.0254783,
        0.025506,
        0.0257146,
        0.0257888,
        0.0254551,
        0.02542,
        0.0252123,
        0.0250613,
        0.0256781,
        0.0257303,
        0.0253439,
        0.0251865,
        0.0270298,
        0.0262185,
        0.0250867,
        0.0249543,
        0.0248353,
        0.0247765,
        0.0247097,
        0.0246585,
        0.0246398,
        0.0248261,
        0.0247769,
        0.0246308,
        0.0247295,
        0.0247366,
        0.024595,
        0.0244558,
        0.024752,
        0.0251372,
        0.02419,
        0.0241189,
        0.0240718,
        0.0238722,
        0.0238597,
        0.0236997,
        0.023945,
        0.0239763,
        0.0241669,
        0.0241066,
        0.0243711,
        0.0245901,
        0.024939,
        0.0250419,
        0.0252894,
        0.0252978,
        0.0253581,
        0.0254332,
        0.0257008,
        0.0260891,
        0.0259891,
        0.0258783,
        0.0255969,
        0.0261686,
        0.0281035,
        0.027781,
        0.0257667,
        0.0258593,
        0.0259995,
        0.0257346,
        0.0257636,
        0.0257427,
        0.0259201,
        0.0262315,
        0.0263294,
        0.0264506,
        0.0269934,
        0.0274514,
        0.02781,
        0.0283332,
        0.0289619,
        0.0298097,
        0.0314577,
        0.0325708,
        0.0342514,
        0.0355587,
        0.0364068,
        0.0355967,
        0.0342216,
        0.0325064,
        0.031121,
        0.031927,
        0.0303371,
        0.0289149,
        0.0283551,
        0.0279836,
        0.0277946,
        0.0273678,
        0.0273191,
        0.0269758,
        0.0270809,
        0.0268996,
        0.0266598,
        0.0266072,
        0.0264285,
        0.0261026,
        0.0259226,
        0.0257575,
        0.0256534,
        0.0257068,
        0.0283465,
        0.0283632,
        0.0253691,
        0.0252204,
        0.0250933,
        0.0248939,
        0.0248154,
        0.0249188,
        0.0252257,
        0.0251189,
        0.0250652,
        0.0251868,
        0.0251008,
        0.0251732,
        0.0256029,
        0.0279184,
        0.0287151,
        0.025836,
        0.0255177,
        0.0256059,
        0.0259397,
        0.0258797,
        0.0256604,
        0.0255366,
        0.0254758,
        0.0258219,
        0.0257058,
        0.0259826,
        0.0263141,
        0.0260626,
        0.0266139,
        0.0267602,
        0.0267846,
        0.0268694,
        0.0266824,
        0.0266794,
        0.0264805,
        0.0259905,
        0.0263033,
        0.0260172,
        0.0257597,
        0.0255873,
        0.0254791,
        0.0253985,
        0.0254857,
        0.0253091,
        0.0252932,
        0.0251755,
        0.0250705,
        0.0250048,
        0.0250616,
        0.0250346,
        0.0249136,
        0.0248932,
        0.0248967,
        0.0250852,
        0.0250597,
        0.024928,
        0.024913,
        0.0248728,
        0.0248004,
        0.0248452,
        0.0248218,
        0.0245927,
        0.0247194,
        0.0267513,
        0.0268301,
        0.0245185,
        0.0263811,
        0.0260455,
        0.0248231,
        0.0246388,
        0.0245356,
        0.0244264,
        0.0245485,
        0.0245916,
        0.0245911,
        0.0257455,
        0.0258024,
        0.0249584,
        0.0252455,
        0.0251572,
        0.0252073,
        0.0251299,
        0.0253098,
        0.0251349,
        0.0253231,
        0.0254072,
        0.0253266,
        0.025715,
        0.0254703,
        0.0256186,
        0.0257835,
        0.0264429,
        0.026268,
        0.0255958,
        0.0259599,
        0.0260438,
        0.0257354,
        0.0257067,
        0.0258215,
        0.0264019,
        0.0260695,
        0.0255559,
        0.0255152,
        0.0253195,
        0.025249,
        0.0250363,
        0.0249924,
        0.026542,
        0.0259977,
        0.024954,
        0.0249333,
        0.0248825,
        0.0250129,
        0.0254637,
        0.0256106,
        0.0253448,
        0.0254034,
        0.025569,
        0.0254865,
        0.0254501,
        0.0252443,
        0.0250816,
        0.0250317,
        0.0247601,
        0.0247884,
        0.0248708,
        0.0249587,
        0.0248621,
        0.0250289,
        0.0251024,
        0.0251199,
        0.0248122,
        0.0250683,
        0.0251348,
        0.0250474,
        0.0252585,
        0.0253989,
        0.0252797,
        0.0251913,
        0.0253835,
        0.0256755,
        0.0259149,
        0.0259593,
        0.0261974,
        0.0265341,
        0.0269989,
        0.0276202,
        0.0280871,
        0.0287426,
        0.0295218,
        0.0305197,
        0.0312483,
        0.0314068,
        0.0314468,
        0.0310503,
        0.0307521,
        0.0323358,
        0.0320017,
        0.0298838,
        0.0301113,
        0.0303103,
        0.030683,
        0.0303668,
        0.0294838,
        0.029296,
        0.0285026,
        0.0279078,
        0.0277964,
        0.0274143,
        0.0272979,
        0.0267647,
        0.0265481,
        0.0264327,
        0.026461,
        0.0262238,
        0.0257731,
        0.0256165,
        0.0255704,
        0.0253435,
        0.0252386,
        0.0252536,
        0.0251046,
        0.0250232,
        0.0252756,
        0.0260014,
        0.0277786,
        0.0271764,
        0.0255626,
        0.0261623,
        0.0259569,
        0.0251577,
        0.0252327,
        0.0254007,
        0.0277654,
        0.027939,
        0.0256558,
        0.0258104,
        0.025656,
        0.0266791,
        0.0283654,
        0.0275042,
        0.026236,
        0.0264223,
        0.0267721,
        0.0267464,
        0.0267033,
        0.0265485,
        0.0264361,
        0.0264176,
        0.0264392,
        0.0262466,
        0.0263897,
        0.0263435,
        0.0263821,
        0.0265524,
        0.0265739,
        0.0264128,
        0.0264,
        0.0264874,
        0.0271211,
        0.0270267,
        0.026866,
        0.027136,
        0.0274608,
        0.0278016,
        0.0278727,
        0.0275938,
        0.0276069,
        0.0278399,
        0.0280135,
        0.0284594,
        0.0289697,
        0.029557,
        0.0304,
        0.0308534,
        0.030786,
        0.0307046,
        0.0302709,
        0.0295929,
        0.0289844,
        0.0285225,
        0.028062,
        0.0275854,
        0.02688,
        0.0268336,
        0.0267087,
        0.026434,
        0.0265571,
        0.0267091,
        0.026768,
        0.0265685,
        0.0267457,
        0.0279319,
        0.028095,
        0.0273409,
        0.0275734,
        0.0285396,
        0.0291429,
        0.03022,
        0.0315937,
        0.0335314,
        0.0352222,
        0.0370591,
        0.0381317,
        0.038378,
        0.0386192,
        0.0374138,
        0.0373788,
        0.0356302,
        0.031268,
        0.0302704,
        0.0294756,
        0.0287976,
        0.0281562,
        0.0278255,
        0.0276646,
        0.0275526,
        0.0277723,
        0.0275515,
        0.0271019,
        0.0278608,
        0.0281715,
        0.0292228,
        0.0282811,
        0.027814,
        0.0275044,
        0.0276382,
        0.0276742,
        0.0277126,
        0.0274327,
        0.0274293,
        0.0272429,
        0.0271006,
        0.0268476,
        0.0269674,
        0.0305251,
        0.030204,
        0.0269889,
        0.0269484,
        0.0271212,
        0.0267486,
        0.0262638,
        0.0264105,
        0.0265782,
        0.0264237,
        0.0261239,
        0.0261391,
        0.0262699,
        0.0268134,
        0.0273214,
        0.026712,
        0.025997,
        0.026185,
        0.0261947,
        0.026871,
        0.027032,
        0.026041,
        0.0259203,
        0.0261846,
        0.0260267,
        0.0259123,
        0.0261525,
        0.0261643,
        0.0262756,
        0.0266093,
        0.0266452,
        0.029083,
        0.0286465,
        0.0276037,
        0.0282866,
        0.028919,
        0.0291269,
        0.0293697,
        0.0294332,
        0.0290622,
        0.0286934,
        0.028682,
        0.0283049,
        0.0284393,
        0.0283969,
        0.0287203,
        0.0285981,
        0.0283492,
        0.0286302,
        0.0287815,
        0.0293456,
        0.0320699,
        0.0314952,
        0.0311091,
        0.0350382,
        0.0341787,
        0.0330375,
        0.033032,
        0.0324326,
        0.0317872,
        0.0328661,
        0.0322911,
        0.0295459,
        0.0303298,
        0.0298952,
        0.0283297,
        0.0280028,
        0.0279704,
        0.027595,
        0.0275114,
        0.0275681,
        0.0274508,
        0.0273991,
        0.0272475,
        0.0271227,
        0.0273344,
        0.0275717,
        0.0275991,
        0.0273986,
        0.027433,
        0.0273758,
        0.0275548,
        0.0277879,
        0.0277358,
        0.0273826,
        0.0275624,
        0.0274984,
        0.0271159,
        0.0271284,
        0.0270247,
        0.0270073,
        0.0266714,
        0.0267237,
        0.0266477,
        0.026674,
        0.0272717,
        0.0273757,
        0.0270839,
        0.0269221,
        0.026985,
        0.0269903,
        0.0269921,
        0.0271783,
        0.0271204,
        0.0271885,
        0.0272411,
        0.0273435,
        0.0273682,
        0.0282367,
        0.0284961,
        0.0277581,
        0.0280409,
        0.0280879,
        0.0278752,
        0.0281522,
        0.0282808,
        0.0280503,
        0.0279033,
        0.0277879,
        0.0282635,
        0.0294863,
        0.028987,
        0.0280043,
        0.0295949,
        0.0298746,
        0.0279727,
        0.0279296,
        0.0281438,
        0.0283192,
        0.0298447,
        0.0298058,
        0.028142,
        0.0278831,
        0.0280544,
        0.0281249,
        0.0279244,
        0.0278184,
        0.0279225,
        0.0280978,
        0.0278037,
        0.0277196,
        0.0276494,
        0.0278428,
        0.0277592,
        0.0273968,
        0.0275777,
        0.0274896,
        0.0276155,
        0.0276314,
        0.0278846,
        0.0276847,
        0.0276247,
        0.0274154,
        0.0275005,
        0.0275591,
        0.0309785,
        0.0298629,
        0.0277919,
        0.0278884,
        0.0283525,
        0.0293958,
        0.0338805,
        0.0310377,
        0.0282465,
        0.0284036,
        0.0287216,
        0.0291046,
        0.0298717,
        0.0300802,
        0.0296499,
        0.029782,
        0.0298617,
        0.0299671,
        0.0301609,
        0.0303726,
        0.0300634,
        0.0299272,
        0.029507,
        0.0293773,
        0.0294956,
        0.029753,
        0.0297279,
        0.0296564,
        0.0298375,
        0.0301556,
        0.0298079,
        0.0296372,
        0.0298424,
        0.0297283,
        0.0297283,
        0.0298399,
        0.0299286,
        0.0300683,
        0.0300853,
        0.0300572,
        0.0299719,
        0.0299501,
        0.0299499,
        0.0297026,
        0.0295563,
        0.0298482,
        0.0300797,
        0.0298669,
        0.0300004,
        0.0297599,
        0.0297024,
        0.0296279,
        0.029503,
        0.0294407,
        0.0295381,
        0.0295943,
        0.0300442,
        0.0299758,
        0.0299362,
        0.0301758,
        0.03025,
        0.0305292,
        0.03109,
        0.0315351,
        0.0321024,
        0.0320494,
        0.0321235,
        0.0318672,
        0.031571,
        0.0314193,
        0.0315349,
        0.0314309,
        0.0310706,
        0.031116,
        0.030886,
        0.0308788,
        0.0309245,
        0.0309567,
        0.0311084,
        0.0314012,
        0.0316361,
        0.0315097,
        0.0317599,
        0.0322854,
        0.0344656,
        0.0366838,
        0.0345553,
        0.0333032,
        0.0341803,
        0.0345975,
        0.0350806,
        0.0358558,
        0.03681,
        0.0384995,
        0.0400788,
        0.0408275,
        0.0469135,
        0.0457972,
        0.0387871,
        0.0381083,
        0.0376643,
        0.0373626,
        0.0370998,
        0.0367317,
        0.0363914,
        0.0358783,
        0.0358753,
        0.0356872,
        0.0358904,
        0.0414564,
        0.0392385,
        0.0385176,
        0.0381453,
        0.0355498,
        0.0356962,
        0.0360019,
        0.0356926,
        0.0357367,
        0.0357715,
        0.035884,
        0.036107,
        0.0360251,
        0.0363093,
        0.0363979,
        0.0365117,
        0.0369366,
        0.0371744,
        0.0377979,
        0.0385362,
        0.0385118,
        0.0385755,
        0.0389975,
        0.0408773,
        0.0413499,
        0.039749,
        0.0401276,
        0.0407078,
        0.0407722,
        0.0410588,
        0.0453577,
        0.0489536,
        0.0431637,
        0.0441173,
        0.0450843,
        0.0458504,
        0.0465975,
        0.0475923,
        0.0480463,
        0.0492098,
        0.0510246,
        0.0523943,
        0.0540516,
        0.0567316,
        0.0584215,
        0.0606587,
        0.0626363,
        0.0646669,
        0.0678052,
        0.0712338,
        0.0738397,
        0.0785462,
        0.0840869,
        0.0913897,
        0.0993466,
        0.109421,
        0.116096,
        0.126132,
        0.139092,
        0.161535,
        0.194833,
        0.232141,
        0.278563,
        0.23171,
        0.204316,
        0.182038,
        0.16265,
        0.149366,
        0.139748,
        0.131683,
        0.125547,
        0.126579,
        0.124933,
        0.113395,
        0.113046,
        0.114082,
        0.113993,
        0.115331,
        0.117059,
        0.116258,
        0.12878,
        0.137191,
        0.134262,
        0.140365,
        0.149537,
        0.162079,
        0.180627,
        0.198329,
        0.217406,
        0.24825,
        0.288681,
        0.255762,
        0.230744,
        0.199969,
        0.174669,
        0.154,
        0.156413,
        0.158599,
        0.129869,
        0.122949,
        0.11299,
        0.094419,
        0.0904045,
        0.0857729,
        0.0822776,
        0.0779827,
        0.0744452,
        0.0714267,
        0.0678706,
        0.0687396,
        0.0686869,
        0.0630292,
        0.0613698,
        0.0598475,
        0.0634714,
        0.0638831,
        0.060392,
        0.0545905,
        0.0584325,
        0.0592735,
        0.0547111,
        0.0542378,
        0.0532056,
        0.0525087,
        0.0519345,
        0.0507925,
        0.0504134,
        0.0501759,
        0.0506587,
        0.0509556,
        0.0513118,
        0.0530569,
        0.0555579,
        0.0578615,
        0.05979,
        0.0609886,
        0.0604883,
        0.0632864,
        0.0580178,
        0.0536203,
        0.0517033,
        0.0495086,
        0.0493643,
        0.0489902,
        0.0459766,
        0.0456835,
        0.0451685,
        0.044471,
        0.0440894,
        0.0438875,
        0.0435217,
        0.0432693,
        0.0431984,
        0.0431211,
        0.0429326,
        0.045951,
        0.0449608,
        0.0413706,
        0.0413554,
        0.0414856,
        0.0410567,
        0.0409355,
        0.0416022,
        0.0412927,
        0.0399272,
        0.0391855,
        0.042382,
        0.0425616,
        0.0395735,
        0.039772,
        0.0390154,
        0.0377931,
        0.0374795,
        0.037203,
        0.0371791,
        0.0369561,
        0.0368956,
        0.036616,
        0.0363943,
        0.0413594,
        0.044118,
        0.035881,
        0.0361765,
        0.0361914,
        0.0356656,
        0.0359301,
        0.0357515,
        0.0362785,
        0.0363228,
        0.0358918,
        0.0357039,
        0.0359519,
        0.0359227,
        0.036389,
        0.0366247,
        0.0363383,
        0.0398052,
        0.0399744,
        0.036228,
        0.0359179,
        0.0357652,
        0.0358007,
        0.035951,
        0.0362431,
        0.036672,
        0.0365742,
        0.0367015,
        0.0372694,
        0.0398609,
        0.0382333,
        0.0368727,
        0.0372375,
        0.0402036,
        0.0404628,
        0.0366539,
        0.0367823,
        0.0364824,
        0.0364772,
        0.036482,
        0.0361686,
        0.0360739,
        0.0359714,
        0.0362389,
        0.0358237,
        0.0361509,
        0.0362061,
        0.0355776,
        0.0353734,
        0.0354801,
        0.0357103,
        0.035556,
        0.0352814,
        0.0357936,
        0.0360474,
        0.0354788,
        0.0354332,
        0.0353658,
        0.0355837,
        0.0357196,
        0.0362101,
        0.0386589,
        0.0386205,
        0.0359189,
        0.035854,
        0.0358407,
        0.0362501,
        0.0362872,
        0.0363354,
        0.036093,
        0.0359813,
        0.0355499,
        0.0356196,
        0.0354769,
        0.0350224,
        0.035242,
        0.0354279,
        0.0354866,
        0.0350074,
        0.0350621,
        0.0351755,
        0.0354133,
        0.0353649,
        0.0353273,
        0.0368354,
        0.0367612,
        0.0356936,
        0.0353742,
        0.0357052,
        0.0358312,
        0.0362376,
        0.0393162,
        0.0397699,
        0.037946,
        0.0381291,
        0.0367381,
        0.0366655,
        0.0367047,
        0.0366863,
        0.0370485,
        0.037136,
        0.0373155,
        0.0375101,
        0.0376154,
        0.0372435,
        0.0372182,
        0.0372458,
        0.0370742,
        0.038846,
        0.0389227,
        0.0365315,
        0.0367994,
        0.0364167,
        0.0366423,
        0.0398587,
        0.0412768,
        0.0377155,
        0.0365812,
        0.0371081,
        0.0369512,
        0.0370106,
        0.0369988,
        0.0370959,
        0.0374947,
        0.0370197,
        0.0366338,
        0.0364781,
        0.0360756,
        0.0361088,
        0.0360075,
        0.0358334,
        0.0353861,
        0.0354347,
        0.03544,
        0.0355269,
        0.0355211,
        0.0352099,
        0.0354334,
        0.0353689,
        0.035763,
        0.0411469,
        0.0412792,
        0.0358234,
        0.0363599,
        0.0365374,
        0.0371516,
        0.0370869,
        0.0373389,
        0.0375821,
        0.03841,
        0.0394181,
        0.0400371,
        0.0440902,
        0.0460581,
        0.0445538,
        0.0462894,
        0.0479924,
        0.0484703,
        0.0476439,
        0.0456586,
        0.0436867,
        0.0422846,
        0.0411224,
        0.0404288,
        0.0400325,
        0.0393543,
        0.0391993,
        0.0448057,
        0.0429071,
        0.0384342,
        0.0383276,
        0.0391761,
        0.0395464,
        0.0385325,
        0.0383534,
        0.0383805,
        0.0381055,
        0.0381296,
        0.0382188,
        0.0386138,
        0.0384947,
        0.0386088,
        0.0383736,
        0.0383182,
        0.0381447,
        0.0381188,
        0.0380215,
        0.0377748,
        0.0422525,
        0.0400531,
        0.0381518,
        0.0376869,
        0.0373716,
        0.0369506,
        0.0373428,
        0.0372587,
        0.0371981,
        0.0373941,
        0.0374634,
        0.0372526,
        0.0365124,
        0.0363347,
        0.037243,
        0.0374865,
        0.0371705,
        0.0370331,
        0.0370832,
        0.0367808,
        0.036857,
        0.0370158,
        0.0374383,
        0.0375594,
        0.0375978,
        0.0374619,
        0.0380817,
        0.0377804,
        0.0380214,
        0.0380862,
        0.0439846,
        0.0443558,
        0.0386048,
        0.039011,
        0.0385754,
        0.038826,
        0.0423168,
        0.0423893,
        0.0394548,
        0.039567,
        0.0399379,
        0.0404287,
        0.0397299,
        0.0393712,
        0.0393136,
        0.0399061,
        0.0402245,
        0.0408892,
        0.0411064,
        0.0409996,
        0.0408546,
        0.0409339,
        0.04116,
        0.0411053,
        0.0409821,
        0.0413322,
        0.0412385,
        0.0452072,
        0.0478957,
        0.041342,
        0.0417731,
        0.0419737,
        0.0421742,
        0.0421071,
        0.0423157,
        0.0419458,
        0.0417689,
        0.0420529,
        0.0424319,
        0.0427819,
        0.042416,
        0.0423267,
        0.0426496,
        0.0422012,
        0.0422277,
        0.0430229,
        0.0435722,
        0.043562,
        0.0433185,
        0.0438009,
        0.0442061,
        0.0438662,
        0.0436339,
        0.0439653,
        0.0444944,
        0.0446243,
        0.0449192,
        0.0447361,
        0.0448903,
        0.0453516,
        0.0460314,
        0.0463366,
        0.0464617,
        0.0470618,
        0.0474611,
        0.0477755,
        0.0484513,
        0.0499241,
        0.0508912,
        0.0490475,
        0.0498478,
        0.0501998,
        0.0510235,
        0.0518242,
        0.05203,
        0.0526552,
        0.0535343,
        0.0541718,
        0.0545747,
        0.0555279,
        0.0565242,
        0.0574,
        0.0577588,
        0.0586315,
        0.0593135,
        0.0599944,
        0.0613882,
        0.0624788,
        0.0631908,
        0.0642251,
        0.0649827,
        0.0662147,
        0.0725759,
        0.0710565,
        0.0703534,
        0.0727739,
        0.0735993,
        0.0751267,
        0.0779219,
        0.0797623,
        0.0813526,
        0.0835715,
        0.086948,
        0.0909409,
        0.0942628,
        0.0970723,
        0.100584,
        0.104214,
        0.126932,
        0.134942,
        0.122742,
        0.130015,
        0.137872,
        0.144873,
        0.15594,
        0.169851,
        0.196803,
        0.217358,
        0.243096,
        0.267027,
        0.300198,
        0.359285,
        null,
        0.0414302,
        0.0425952,
        0.0425171,
        0.0407376,
        0.0407035,
        0.0442308,
        0.0445537,
        0.0409853,
        0.0408415,
        0.0410034,
        0.0412312,
        0.0409377,
        0.0408599,
        0.0412653,
        0.0447628,
        0.0448375,
        0.041641,
        0.0419945,
        0.0419694,
        0.042067,
        0.0422539,
        0.0422514,
        0.0423848,
        0.0427152,
        0.0427676,
        0.0426074,
        0.0430424,
        0.0433725,
        0.0436524,
        0.0433216,
        0.0429604,
        0.0429234,
        0.0429647,
        0.0431354,
        0.0433088,
        0.0433851,
        0.0436347,
        0.0440636,
        0.0441254,
        0.0438622,
        0.0439819,
        0.0444379,
        0.0448207,
        0.044792,
        0.0450851,
        0.0456957,
        0.0461636,
        0.0465414,
        0.0470309,
        0.0474006,
        0.0476467,
        0.0478816,
        0.0479008,
        0.0478652,
        0.0480806,
        0.0489976,
        0.0504297,
        0.0523693,
        0.0544408,
        0.0569916,
        0.0590408,
        0.0586185,
        0.0564645,
        0.0541397,
        0.0527248,
        0.0520191,
        0.0516018,
        0.0512766,
        0.0510031,
        0.0510846,
        0.0513696,
        0.0517318,
        0.0524941,
        0.0527818,
        0.0529844,
        0.0532588,
        0.0534507,
        0.0538828,
        0.0542274,
        0.0549555,
        0.0553239,
        0.0557318,
        0.0561094,
        0.0572259,
        0.0581257,
        0.0587237,
        0.0594188,
        0.060053,
        0.0611043,
        0.0620999,
        0.0630405,
        0.0642912,
        0.0654625,
        0.0666419,
        0.0674284,
        0.0681828,
        0.0688535,
        0.0712397,
        0.0726785,
        0.0738013,
        0.0750405,
        0.0766046,
        0.0784545,
        0.0807086,
        0.0823604,
        0.0830099,
        0.0853882,
        0.088491,
        0.0921082,
        0.0946948,
        0.0998962,
        0.104098,
        0.10906,
        0.117747,
        0.124518,
        0.130011,
        0.13929,
        0.148299,
        0.159261,
        0.172359,
        0.186796,
        0.203775,
        0.224457,
        0.256895,
        0.293971,
        0.303515,
        0.282967,
        0.226472,
        0.212477,
        0.201396,
        0.193138,
        0.187275,
        0.180299,
        0.176121,
        0.176531,
        0.17173,
        0.167646,
        0.164644,
        0.16362,
        0.164537,
        0.163856,
        0.166477,
        0.168958,
        0.173005,
        0.187909,
        0.192753,
        0.202481,
        0.198845,
        0.203011,
        0.206751,
        0.219711,
        0.235418,
        0.247306,
        0.262815,
        0.285899,
        0.320366,
        0.353869,
        0.320037,
        0.281901,
        0.258942,
        0.240817,
        0.223926,
        0.208704,
        0.195192,
        0.18204,
        0.1747,
        0.163487,
        0.155769,
        0.160842,
        0.150387,
        0.136861,
        0.136903,
        0.125549,
        0.121098,
        0.12941,
        0.143621,
        0.122886,
        0.108672,
        0.106287,
        0.103806,
        0.102492,
        0.101096,
        0.0981175,
        0.100822,
        0.0960499,
        0.0932564,
        0.0928827,
        0.0916345,
        0.0899184,
        0.0897861,
        0.0893989,
        0.0873794,
        0.0854422,
        0.0855379,
        0.085978,
        0.0864927,
        0.0876439,
        0.084973,
        0.0851962,
        0.0855578,
        0.0856264,
        0.0850038,
        0.0854481,
        0.0852053,
        0.0876875,
        0.0883279,
        0.0867626,
        0.0869512,
        0.0874763,
        0.0882098,
        0.0882421,
        0.0888924,
        0.0905432,
        0.0916564,
        0.0918351,
        0.0936453,
        0.0995082,
        0.0967735,
        0.0968484,
        0.0971713,
        0.0983371,
        0.100176,
        0.102058,
        0.105059,
        0.106117,
        0.106843,
        0.109325,
        0.112446,
        0.113536,
        0.112896,
        0.11467,
        0.118448,
        0.120093,
        0.123322,
        0.127965,
        0.130295,
        0.13137,
        0.136043,
        0.140114,
        0.143341,
        0.148263,
        0.152941,
        0.15842,
        0.166084,
        0.171593,
        0.176733,
        0.184154,
        0.187,
        0.197123,
        0.20707,
        0.219284,
        0.233192,
        0.24109,
        0.278593,
        null,
        0.316301,
        0.290023,
        0.259203,
        0.248535,
        0.234448,
        0.215484,
        0.203846,
        0.198387,
        0.185962,
        0.174832,
        0.169812,
        0.161224,
        0.156424,
        0.150646,
        0.143264,
        0.139758,
        0.135287,
        0.129367,
        0.124557,
        0.12155,
        0.116847,
        0.113143,
        0.111045,
        0.109471,
        0.106373,
        0.101762,
        0.0979936,
        0.0948128,
        0.0923188,
        0.0928426,
        0.0917003,
        0.0892713,
        0.0872611,
        0.0843662,
        0.0835171,
        0.0825989,
        0.081291,
        0.0798973,
        0.0785498,
        0.0771836,
        0.0762284,
        0.0753348,
        0.0741257,
        0.0731289,
        0.0723921,
        0.0709164,
        0.0705941,
        0.0698695,
        0.0688747,
        0.067217,
        0.0659088,
        0.0653708,
        0.0647262,
        0.0630425,
        0.0623691,
        0.0608193,
        0.062736,
        0.0612608,
        0.0597394,
        0.0585832,
        0.0584527,
        0.0578968,
        0.0575813,
        0.0567182,
        0.0558143,
        0.0552478,
        0.054222,
        0.0531928,
        0.0529701,
        0.0529249,
        0.0529451,
        0.0525786,
        0.0521673,
        0.0512161,
        0.0503758,
        0.0501768,
        0.0497634,
        0.049114,
        0.0486599,
        0.0478846,
        0.0473764,
        0.0472514,
        0.0470901,
        0.0465944,
        0.0459963,
        0.0451806,
        0.0476089,
        0.047494,
        0.0449826,
        0.0446828,
        0.0444079,
        0.0440267,
        0.0436261,
        0.0435135,
        0.0433756,
        0.0431559,
        0.0431512,
        0.0427058,
        0.0426589,
        0.0422309,
        0.0421369,
        0.0448044,
        0.0442487,
        0.0422736,
        0.0420851,
        0.0418403,
        0.0414142,
        0.0412592,
        0.0413547,
        0.0413145,
        0.0414015,
        0.0414812,
        0.0416114,
        0.0418687,
        0.0418411,
        0.0413229,
        0.0418017,
        0.0469073,
        0.0471909,
        0.0453412,
        0.0440813,
        0.0417293,
        0.0416145,
        0.0413473,
        0.0415374,
        0.0414758,
        0.0414238,
        0.0415332,
        0.0412113,
        0.0406801,
        0.0403125,
        0.039911,
        0.0396466,
        0.039557,
        0.0394243,
        0.0388314,
        0.0385296,
        0.0383592,
        0.0382708,
        0.0383411,
        0.0385491,
        0.0388175,
        0.0391764,
        0.0397125,
        0.0412103,
        0.0421421,
        0.0427052,
        0.0440418,
        0.0447932,
        0.044367,
        0.0423217,
        0.0404162,
        0.0394375,
        0.038516,
        0.0377591,
        0.0372938,
        0.0369052,
        0.0363456,
        0.0362918,
        0.0358157,
        0.0357309,
        0.0357596,
        0.0358606,
        0.0358615,
        0.0356307,
        0.0356391,
        0.0357162,
        0.035535,
        0.0358254,
        0.0354239,
        0.0366718,
        0.0366268,
        0.0356276,
        0.035689,
        0.0361521,
        0.0361794,
        0.0366111,
        0.0367529,
        0.0368308,
        0.0374313,
        0.0376426,
        0.0376577,
        0.037828,
        0.0374877,
        0.0372318,
        0.0368515,
        0.0370094,
        0.036374,
        0.0359434,
        0.0359629,
        0.0359698,
        0.0359619,
        0.0357625,
        0.0354393,
        0.0351194,
        0.0352375,
        0.0352366,
        0.0348422,
        0.0347789,
        0.0345684,
        0.0340392,
        0.0336634,
        0.0336519,
        0.0335591,
        0.033375,
        0.0334447,
        0.0332696,
        0.0331835,
        0.0331604,
        0.0331041,
        0.0328114,
        0.0326829,
        0.0328843,
        0.0329137,
        0.0327443,
        0.0331741,
        0.0355248,
        0.0367166,
        0.033997,
        0.033972,
        0.0345227,
        0.0354508,
        0.0360069,
        0.0363879,
        0.0372611,
        0.0382172,
        0.0389383,
        0.039447,
        0.0396075,
        0.0393776,
        0.0389116,
        0.0379109,
        0.0370277,
        0.0360151,
        0.0352866,
        0.034822,
        0.0344483,
        0.0339584,
        0.033784,
        0.0332623,
        0.0327196,
        0.0328612,
        0.0327692,
        0.0326154,
        0.0323205,
        0.0322961,
        0.032371,
        0.0322687,
        0.0321128,
        0.0318075,
        0.031971,
        0.031787,
        0.0319289,
        0.0317688,
        0.0315389,
        0.0314419,
        0.0326763,
        0.0333909,
        0.0314221,
        0.0310814,
        0.0313799,
        0.0350029,
        0.034719,
        0.0306586,
        0.0304017,
        0.0303952,
        0.0302683,
        0.0300426,
        0.0300362,
        0.0298186,
        0.0297484,
        0.0296827,
        0.0293156,
        0.0291168,
        0.0294726,
        0.0297404,
        0.0296394,
        0.0296925,
        0.0307508,
        0.0308173,
        0.0296245,
        0.0298788,
        0.0299662,
        0.0305057,
        0.0304322,
        0.030018,
        0.0301513,
        0.0303597,
        0.0307165,
        0.0309656,
        0.0308848,
        0.0309447,
        0.0315538,
        0.0308323,
        0.0302135,
        0.0302226,
        0.030171,
        0.0301368,
        0.0298898,
        0.0298772,
        0.029908,
        0.0300549,
        0.0299907,
        0.0299048,
        0.0299861,
        0.0301336,
        0.0300611,
        0.030157,
        0.0301367,
        0.0302688,
        0.0302636,
        0.0303517,
        0.0303014,
        0.0303125,
        0.0304606,
        0.0305087,
        0.0303219,
        0.0301785,
        0.0301607,
        0.0303514,
        0.0302468,
        0.0300246,
        0.0301452,
        0.0301289,
        0.0303198,
        0.0304525,
        0.0305897,
        0.0307308,
        0.0308986,
        0.0312757,
        0.0320781,
        0.0330363,
        0.0340032,
        0.0349631,
        0.0355922,
        0.0355687,
        0.0345558,
        0.0339764,
        0.0327534,
        0.0316528,
        0.0312562,
        0.0306575,
        0.0303235,
        0.0298368,
        0.0295923,
        0.0297791,
        0.030502,
        0.0305481,
        0.0303382,
        0.0291068,
        0.0295685,
        0.0293895,
        0.0292225,
        0.028998,
        0.0290412,
        0.0294573,
        0.0296552,
        0.0296276,
        0.0296816,
        0.0297079,
        0.0296223,
        0.0296917,
        0.029915,
        0.0300766,
        0.0302233,
        0.030064,
        0.0301756,
        0.0301839,
        0.0303119,
        0.0301179,
        0.0300819,
        0.0298247,
        0.0298792,
        0.0300614,
        0.0312815,
        0.0310075,
        0.0300641,
        0.0300138,
        0.0301085,
        0.029788,
        0.0300471,
        0.0298073,
        0.0300691,
        0.0297347,
        0.0296292,
        0.0339999,
        0.0323535,
        0.0300609,
        0.02993,
        0.0293083,
        0.0293281,
        0.0294945,
        0.0294369,
        0.0292381,
        0.0292635,
        0.0294601,
        0.0296551,
        0.0293459,
        0.0291517,
        0.0293099,
        0.0289268,
        0.028938,
        0.0290184,
        0.0290834,
        0.0293388,
        0.0294789,
        0.0295389,
        0.0299843,
        0.0303334,
        0.0305193,
        0.03076,
        0.0307778,
        0.0308813,
        0.0309453,
        0.0310377,
        0.030826,
        0.0307731,
        0.0309732,
        0.0313556,
        0.031586,
        0.0319354,
        0.0322544,
        0.0328733,
        0.0331131,
        0.0327324,
        0.0322964,
        0.0321044,
        0.0318547,
        0.0316366,
        0.0313124,
        0.0309431,
        0.0307474,
        0.0306545,
        0.0306811,
        0.0304655,
        0.0308065,
        0.0304513,
        0.029806,
        0.0297182,
        0.0295682,
        0.029452,
        0.029523,
        0.0293074,
        0.0289811,
        0.028824,
        0.0289897,
        0.0291927,
        0.0293959,
        0.0292466,
        0.0290546,
        0.0298243,
        0.0294142,
        0.0289806,
        0.0290187,
        0.0285584,
        0.0284478,
        0.0285502,
        0.0282374,
        0.0284574,
        0.0283649,
        0.0280617,
        0.0280751,
        0.0278636,
        0.027803,
        0.027944,
        0.0278995,
        0.0278493,
        0.027703,
        0.0279103,
        0.0280862,
        0.0283153,
        0.0279424,
        0.0279803,
        0.0281148,
        0.0282304,
        0.0281686,
        0.0285168,
        0.0285434,
        0.028536,
        0.0286927,
        0.0307923,
        0.0309591,
        0.0289993,
        0.0292701,
        0.0295399,
        0.0292127,
        0.028862,
        0.0290771,
        0.0293785,
        0.0294855,
        0.0297577,
        0.0302435,
        0.0305703,
        0.030889,
        0.0308959,
        0.0308789,
        0.0311836,
        0.0312596,
        0.0313805,
        0.0316304,
        0.0316045,
        0.0314334,
        0.0314559,
        0.0312063,
        0.0308735,
        0.0306176,
        0.0305517,
        0.0304415,
        0.0302622,
        0.0302938,
        0.0302561,
        0.0351549,
        0.0332733,
        0.0305421,
        0.0307551,
        0.0309814,
        0.0307882,
        0.0309296,
        0.0311462,
        0.0314337,
        0.0320817,
        0.0331739,
        0.0371225,
        0.0377558,
        0.0351143,
        0.0342942,
        0.0333511,
        0.0320723,
        0.0313895,
        0.0322845,
        0.0312129,
        0.0299344,
        0.030041,
        0.0296978,
        0.0296951,
        0.0293552,
        0.0291156,
        0.0285568,
        0.028733,
        0.028699,
        0.028819,
        0.0288045,
        0.0287713,
        0.0286506,
        0.0284872,
        0.0284257,
        0.0286587,
        0.0286463,
        0.028847,
        0.0288817,
        0.028983,
        0.0290659,
        0.0291711,
        0.0293237,
        0.0292873,
        0.0293562,
        0.0293201,
        0.0291397,
        0.0293057,
        0.029299,
        0.0301839,
        0.0302168,
        0.0293155,
        0.0294481,
        0.0292435,
        0.02927,
        0.0294825,
        0.0296273,
        0.0325564,
        0.0316095,
        0.0299252,
        0.0293596,
        0.0293039,
        0.029319,
        0.0293499,
        0.0296216,
        0.0311115,
        0.031467,
        0.0303831,
        0.0301171,
        0.029131,
        0.0291048,
        0.0288812,
        0.0290402,
        0.0290343,
        0.02894,
        0.0289193,
        0.0287734,
        0.028831,
        0.0311047,
        0.0307705,
        0.0295036,
        0.0293077,
        0.0293517,
        0.0296433,
        0.0297395,
        0.0295705,
        0.0294415,
        0.0300278,
        0.0305219,
        0.0308129,
        0.0330979,
        0.0328418,
        0.0307798,
        0.0335398,
        0.039139,
        0.0342201,
        0.0299175,
        0.0295485,
        0.0292279,
        0.029096,
        0.0292408,
        0.0293742,
        0.029375,
        0.0295814,
        0.0298475,
        0.0302303,
        0.0300247,
        0.0299808,
        0.0298204,
        0.0302336,
        0.0302368,
        0.0301677,
        0.0302237,
        0.0299345,
        0.0300309,
        0.0300612,
        0.0304725,
        0.0305224,
        0.0303929,
        0.0308593,
        0.0313621,
        0.0315262,
        0.0318143,
        0.0322772,
        0.0325007,
        0.0327469,
        0.0329297,
        0.0328919,
        0.0321201,
        0.0319451,
        0.0318683,
        0.0318234,
        0.0321804,
        0.0320645,
        0.0325016,
        0.03346,
        0.0343043,
        0.0353082,
        0.0360808,
        0.0371719,
        0.0385225,
        0.0430585,
        0.0414907,
        0.0363628,
        0.0356918,
        0.0347508,
        0.0334915,
        0.0326718,
        0.0317097,
        0.0313512,
        0.031048,
        0.0307838,
        0.0303481,
        0.0297874,
        0.029614,
        0.0296702,
        0.0296425,
        0.0294205,
        0.0293056,
        0.0293507,
        0.0292939,
        0.0295411,
        0.0342964,
        0.0341906,
        0.0293748,
        0.0293795,
        0.0294665,
        0.0298199,
        0.0300388,
        0.0299625,
        0.0300107,
        0.0299922,
        0.0302877,
        0.0306532,
        0.0307008,
        0.0305096,
        0.030425,
        0.0302509,
        0.0306175,
        0.0307183,
        0.0308032,
        0.0311309,
        0.031305,
        0.0313973,
        0.0313042,
        0.0336297,
        0.0335161,
        0.0311326,
        0.0310605,
        0.0311656,
        0.0315386,
        0.0313978,
        0.0311455,
        0.031282,
        0.0313905,
        0.0313696,
        0.0315665,
        0.0320226,
        0.0322199,
        0.0326095,
        0.0331845,
        0.0335231,
        0.0341336,
        0.0382131,
        0.0394618,
        0.0357649,
        0.0354616,
        0.0353238,
        0.0343263,
        0.0334354,
        0.0329519,
        0.0323938,
        0.0320131,
        0.0320181,
        0.031675,
        0.0335643,
        0.0325065,
        0.031355,
        0.0311201,
        0.032123,
        0.0312287,
        0.030644,
        0.030784,
        0.0309289,
        0.0311651,
        0.0313281,
        0.0322934,
        0.0328597,
        0.031829,
        0.0318115,
        0.0357654,
        0.0350375,
        0.0322309,
        0.0321519,
        0.0321357,
        0.0325011,
        0.0323562,
        0.0324089,
        0.0330046,
        0.0333373,
        0.0331816,
        0.0334183,
        0.0337658,
        0.0336571,
        0.0335683,
        0.0335794,
        0.0339285,
        0.0341579,
        0.0344548,
        0.0346462,
        0.03529,
        0.0354142,
        0.0352109,
        0.0353239,
        0.0354175,
        0.0356021,
        0.035669,
        0.0356733,
        0.0356315,
        0.0354128,
        0.0354698,
        0.0356108,
        0.0365388,
        0.0366958,
        0.0361636,
        0.0364463,
        0.0369552,
        0.037036,
        0.0367664,
        0.0370697,
        0.0371477,
        0.0372724,
        0.0375111,
        0.038013,
        0.0380551,
        0.0381419,
        0.0386104,
        0.0389396,
        0.0391409,
        0.0396536,
        0.0397214,
        0.0399397,
        0.0431669,
        0.0441717,
        0.0419101,
        0.0423624,
        0.0432218,
        0.0436073,
        0.0436346,
        0.0445088,
        0.0453399,
        0.0462065,
        0.0470973,
        0.0487702,
        0.0496869,
        0.0506016,
        0.0523744,
        0.0528002,
        0.0545304,
        0.0580178,
        0.0597287,
        0.0591561,
        0.0612215,
        0.0659005,
        0.0678816,
        0.0699973,
        0.0736989,
        0.0775986,
        0.0824973,
        0.0878426,
        0.0936011,
        0.101398,
        0.109152,
        0.118101,
        0.129074,
        0.152553,
        0.172339,
        0.184102,
        0.209032,
        0.247458,
        0.299767,
        0.231921,
        0.19523,
        0.169685,
        0.14994,
        0.136735,
        0.124807,
        0.114213,
        0.109717,
        0.103996,
        0.0921191,
        0.0873328,
        0.0818023,
        0.0793788,
        0.0759786,
        0.071834,
        0.0690829,
        0.0669733,
        0.0648868,
        0.0630272,
        0.0611007,
        0.0591559,
        0.0576553,
        0.0553926,
        0.0543909,
        0.0538434,
        0.0534116,
        0.0551504,
        0.0542689,
        0.0512916,
        0.0510517,
        0.0506811,
        0.0500264,
        0.0486444,
        0.0477834,
        0.0473215,
        0.0469928,
        0.0469655,
        0.0465965,
        0.045832,
        0.0452326,
        0.0453352,
        0.0447611,
        0.0443069,
        0.044569,
        0.0446525,
        0.0440843,
        0.0443487,
        0.0444941,
        0.0452527,
        0.046178,
        0.0458622,
        0.0462999,
        0.0458887,
        0.0449199,
        0.0436627,
        0.0426955,
        0.041764,
        0.0410416,
        0.0402557,
        0.0401817,
        0.0396957,
        0.0394923,
        0.0395628,
        0.0397362,
        0.0401052,
        0.0393966,
        0.0384748,
        0.0383784,
        0.0384849,
        0.0384493,
        0.038313,
        0.0382874,
        0.0382062,
        0.0382269,
        0.0382073,
        0.0386233,
        0.0385675,
        0.0384551,
        0.038464,
        0.0385161,
        0.0382792,
        0.0383875,
        0.0384116,
        0.0383685,
        0.0387924,
        0.0400399,
        0.0403235,
        0.0397743,
        0.039385,
        0.0397578,
        0.039395,
        0.0395324,
        0.0395095,
        0.0396177,
        0.0398707,
        0.0401239,
        0.0401186,
        0.0409024,
        0.0444953,
        0.045378,
        0.0411047,
        0.0406916,
        0.0404011,
        0.0410611,
        0.0412231,
        0.0412757,
        0.0413097,
        0.0414368,
        0.0416956,
        0.0419026,
        0.0422253,
        0.04241,
        0.0424277,
        0.0426716,
        0.0426521,
        0.0428524,
        0.043221,
        0.0432908,
        0.0436869,
        0.0441879,
        0.0438128,
        0.0441376,
        0.0446553,
        0.0449426,
        0.0447564,
        0.0453487,
        0.0516377,
        0.0520908,
        0.047287,
        0.0478834,
        0.048283,
        0.0492665,
        0.0498903,
        0.050964,
        0.0523486,
        0.0535643,
        0.0548943,
        0.057237,
        0.059938,
        0.0625777,
        0.0655069,
        0.0670796,
        0.0687138,
        0.0701797,
        0.0726118,
        0.0744808,
        0.0705319,
        0.070098,
        0.0708408,
        0.0715433,
        0.0732993,
        0.0744848,
        0.0755453,
        0.0768939,
        0.0787286,
        0.0806291,
        0.0832092,
        0.0861336,
        0.0890874,
        0.0949534,
        0.100247,
        0.104952,
        0.111231,
        0.117609,
        0.125516,
        0.135565,
        0.146105,
        0.155624,
        0.165802,
        0.191251,
        0.228387,
        0.250833,
        0.260721,
        0.223338,
        0.199157,
        0.182244,
        0.166247,
        0.153179,
        0.139341,
        0.128199,
        0.120844,
        0.114163,
        0.112966,
        0.106034,
        0.0957494,
        0.0914888,
        0.0886345,
        0.0855073,
        0.0825065,
        0.0798585,
        0.0766622,
        0.0737567,
        0.0719112,
        0.070278,
        0.0688731,
        0.0678526,
        0.0657668,
        0.0636914,
        0.0621764,
        0.0607023,
        0.0596958,
        0.0586605,
        0.0577357,
        0.0573253,
        0.0571113,
        0.0554806,
        0.0570859,
        0.0565903,
        0.0542782,
        0.0534308,
        0.0533567,
        0.0533877,
        0.0531557,
        0.0533197,
        0.0536438,
        0.057935,
        0.0571542,
        0.0511527,
        0.0536962,
        0.0519332,
        0.0469291,
        0.047975,
        0.0474687,
        0.0461622,
        0.0459052,
        0.0452429,
        0.0453003,
        0.0440956,
        0.0433522,
        0.0428366,
        0.0431365,
        0.0440162,
        0.0440501,
        0.044334,
        0.0420719,
        0.0417172,
        0.0418802,
        0.0414643,
        0.0407147,
        0.0408769,
        0.0412806,
        0.042103,
        0.0421618,
        0.0422814,
        0.0420565,
        0.0415749,
        0.0407617,
        0.0406868,
        0.0409679,
        0.0408817,
        0.040385,
        0.0406616,
        0.0407585,
        0.0404462,
        0.040743,
        0.0404827,
        0.0398434,
        0.0396951,
        0.0399517,
        0.0399801,
        0.0399578,
        0.0400259,
        0.0400655,
        0.0403406,
        0.0408495,
        0.0396424,
        0.0393251,
        0.0389954,
        0.0393226,
        0.039575,
        0.0393868,
        0.0391786,
        0.0392131,
        0.0395408,
        0.0388784,
        0.0385377,
        0.0387968,
        0.0384699,
        0.0386923,
        0.0385221,
        0.0380818,
        0.0379387,
        0.0378307,
        0.0375859,
        0.037673,
        0.0391991,
        0.0409828,
        0.0406777,
        0.0408597,
        0.0408579,
        0.037675,
        0.0377445,
        0.0370851,
        0.0366378,
        0.036555,
        0.0364769,
        0.0369936,
        0.0365147,
        0.0363376,
        0.0366165,
        0.0370021,
        0.0369829,
        0.0364852,
        0.037953,
        0.0376913,
        0.0364376,
        0.0362616,
        0.0362989,
        0.0362557,
        0.0361725,
        0.0358606,
        0.0360179,
        0.0362645,
        0.0366794,
        0.0375346,
        0.0376886,
        0.036855,
        0.0366903,
        0.036921,
        0.0370368,
        0.0372169,
        0.036367,
        0.0366895,
        0.0371401,
        0.0381758,
        0.0380328,
        0.037639,
        0.0372429,
        0.0374521,
        0.0376419,
        0.0376233,
        0.0377185,
        0.0377335,
        0.0377553,
        0.0378926,
        0.0378211,
        0.0378401,
        0.0378999,
        0.0376663,
        0.0377216,
        0.0380345,
        0.0380403,
        0.0378103,
        0.0378922,
        0.0380654,
        0.0380692,
        0.0377829,
        0.0373074,
        0.0380706,
        0.0444007,
        0.0416499,
        0.0375491,
        0.0370322,
        0.0372585,
        0.0367393,
        0.0370094,
        0.0372382,
        0.0371814,
        0.037465,
        0.0374535,
        0.0370901,
        0.0370263,
        0.0370147,
        0.0366831,
        0.0371589,
        0.0426954,
        0.0420015,
        0.0367534,
        0.0366211,
        0.0362663,
        0.0359763,
        0.0358098,
        0.036086,
        0.0362018,
        0.036499,
        0.0365906,
        0.0365735,
        0.0369481,
        0.037325,
        0.0370997,
        0.0369692,
        0.036866,
        0.0370986,
        0.0377705,
        0.0380342,
        0.0381196,
        0.0379473,
        0.0380255,
        0.0381393,
        0.0383988,
        0.0387628,
        0.0392746,
        0.0392181,
        0.0394896,
        0.0398903,
        0.0400042,
        0.0394984,
        0.040133,
        0.0471509,
        0.0471622,
        0.0410395,
        0.0415205,
        0.0421712,
        0.0427051,
        0.0436731,
        0.0456659,
        0.0463487,
        0.0466789,
        0.0487282,
        0.0509441,
        0.0544019,
        0.0587286,
        0.0641658,
        0.0703381,
        0.0789958,
        0.0900684,
        0.100185,
        0.107143,
        0.109454,
        0.113599,
        0.103958,
        0.0878918,
        0.0938593,
        0.0865694,
        0.0763135,
        0.064026,
        0.0587933,
        0.0545288,
        0.0512316,
        0.0485564,
        0.0459738,
        0.044703,
        0.0431712,
        0.0423442,
        0.0444879,
        0.043672,
        0.040296,
        0.0397374,
        0.0395129,
        0.0394711,
        0.03924,
        0.0386078,
        0.0387236,
        0.0384612,
        0.0377783,
        0.037788,
        0.038017,
        0.0378945,
        0.0378957,
        0.0379108,
        0.037319,
        0.0374147,
        0.0378509,
        0.0378038,
        0.0377032,
        0.037549,
        0.037997,
        0.0383336,
        0.0378956,
        0.0377067,
        0.0375254,
        0.037694,
        0.0377436,
        0.038217,
        0.0385883,
        0.0381418,
        0.0383075,
        0.0382483,
        0.0381579,
        0.0378138,
        0.0381101,
        0.0382082,
        0.0386584,
        0.0388194,
        0.0392681,
        0.0391857,
        0.0381821,
        0.0382131,
        0.0380778,
        0.0383928,
        0.0386248,
        0.0390273,
        0.0399174,
        0.0387933,
        0.0388449,
        0.0387011,
        0.0381756,
        0.038645,
        0.0389432,
        0.0393544,
        0.0396616,
        0.0381909,
        0.0382792,
        0.0390437,
        0.0385809,
        0.0377439,
        0.0376535,
        0.037646,
        0.0377263,
        0.0399039,
        0.0397146,
        0.0377326,
        0.038043,
        0.0382327,
        0.0380654,
        0.0377997,
        0.0383342,
        0.0381501,
        0.0381873,
        0.0398562,
        0.040036,
        0.0387826,
        0.038356,
        0.0389096,
        0.0395008,
        0.0388753,
        0.0388435,
        0.0386949,
        0.0387823,
        0.0386139,
        0.0386415,
        0.0387813,
        0.0389035,
        0.0385869,
        0.0388594,
        0.0389377,
        0.0390078,
        0.0391678,
        0.0388648,
        0.0389228,
        0.0388728,
        0.0392086,
        0.0396117,
        0.0432833,
        0.041741,
        0.040593,
        0.042277,
        0.0407874,
        0.0401014,
        0.0400565,
        0.0401559,
        0.040087,
        0.0405376,
        0.0402674,
        0.0445141,
        0.0469944,
        0.0402045,
        0.0404054,
        0.0401571,
        0.0406701,
        0.0405993,
        0.0402681,
        0.0399557,
        0.0400655,
        0.0401369,
        0.0402476,
        0.0404443,
        0.0448204,
        0.0470309,
        0.0407079,
        0.0401049,
        0.0405559,
        0.040821,
        0.0407894,
        0.0404225,
        0.0401793,
        0.0400243,
        0.0399633,
        0.0399933,
        0.0398246,
        0.0398752,
        0.0397556,
        0.0397018,
        0.0401834,
        0.0402377,
        0.0394461,
        0.0396358,
        0.0399653,
        0.0400512,
        0.040089,
        0.0401071,
        0.0400991,
        0.0399782,
        0.0399209,
        0.0397457,
        0.0398974,
        0.0398098,
        0.0396629,
        0.03988,
        0.0403846,
        0.0408405,
        0.0403541,
        0.0407283,
        0.0407456,
        0.0421078,
        0.0421772,
        0.0412871,
        0.0414362,
        0.0411709,
        0.0416308,
        0.0419792,
        0.0421228,
        0.0424755,
        0.0431308,
        0.045567,
        0.0445843,
        0.0441224,
        0.0437705,
        0.0436561,
        0.0435015,
        0.0439319,
        0.043905,
        0.0440306,
        0.0441109,
        0.0441208,
        0.0435731,
        0.043255,
        0.0432434,
        0.0437832,
        0.0440837,
        0.0437905,
        0.0439755,
        0.0442747,
        0.0450008,
        0.0456913,
        0.0458452,
        0.0460752,
        0.0498915,
        0.0466292,
        0.0440816,
        0.0436399,
        0.0435201,
        0.0434953,
        0.0428924,
        0.0428756,
        0.0424798,
        0.0426896,
        0.0427214,
        0.0425918,
        0.0423082,
        0.0424887,
        0.0422167,
        0.0420437,
        0.0416647,
        0.0416399,
        0.0422509,
        0.0425966,
        0.0422066,
        0.0420123,
        0.0418747,
        0.0421287,
        0.0422038,
        0.0419113,
        0.0422811,
        0.0461723,
        0.044885,
        0.0426934,
        0.0425852,
        0.0425686,
        0.042772,
        0.0433265,
        0.0429182,
        0.0430356,
        0.0429361,
        0.0434105,
        0.0436093,
        0.0439252,
        0.0440478,
        0.0438885,
        0.0443617,
        0.0443704,
        0.0450276,
        0.0455729,
        0.0459665,
        0.04601,
        null,
        0.0402249,
        0.0412823,
        0.0420628,
        0.0423494,
        0.0419788,
        0.0415006,
        0.0412231,
        0.0409763,
        0.0408982,
        0.0412973,
        0.0419979,
        0.0430928,
        0.0448472,
        0.0469305,
        0.0491073,
        0.050365,
        0.0504155,
        0.0493531,
        0.04716,
        0.0452566,
        0.0433554,
        0.0420386,
        0.0410079,
        0.03999,
        0.0394405,
        0.0390413,
        0.0385949,
        0.0384227,
        0.038134,
        0.0379014,
        0.0379094,
        0.0379873,
        0.0378099,
        0.03746,
        0.037097,
        0.0369896,
        0.0370803,
        0.0370875,
        0.036958,
        0.0368976,
        0.0365599,
        0.0363818,
        0.0365825,
        0.0366291,
        0.0365995,
        0.0368,
        0.037053,
        0.0370791,
        0.0370519,
        0.0370264,
        0.0371281,
        0.0371998,
        0.036981,
        0.0371697,
        0.0372441,
        0.0375078,
        0.0377012,
        0.0378891,
        0.0379273,
        0.0380849,
        0.0382676,
        0.0383563,
        0.0387399,
        0.0389055,
        0.0388501,
        0.0388533,
        0.0391868,
        0.040288,
        0.039855,
        0.0394604,
        0.0400927,
        0.0402467,
        0.0396985,
        0.0397443,
        0.0397851,
        0.0400517,
        0.0399557,
        0.0396231,
        0.0398816,
        0.039925,
        0.0399592,
        0.0400909,
        0.0400821,
        0.0400621,
        0.0412387,
        0.0407594,
        0.0398276,
        0.0399697,
        0.0397602,
        0.039979,
        0.0403261,
        0.0400754,
        0.0399954,
        0.039908,
        0.0399636,
        0.040209,
        0.0403749,
        0.0407993,
        0.044223,
        0.0440361,
        0.0408917,
        0.04104,
        0.041355,
        0.0415552,
        0.0417743,
        0.0419458,
        0.042483,
        0.043198,
        0.0441277,
        0.0448747,
        0.0458434,
        0.0469505,
        0.0482766,
        0.0500194,
        0.0519245,
        0.0540381,
        0.0568961,
        0.0601697,
        0.0636351,
        0.0673467,
        0.0715837,
        0.0740745,
        0.0751197,
        0.0746547,
        0.0717808,
        0.0681206,
        0.0649437,
        0.0610535,
        0.0581402,
        0.0558714,
        0.0537741,
        0.0522788,
        0.0511497,
        0.050116,
        0.0498141,
        0.0491049,
        0.0487175,
        0.0483554,
        0.0481449,
        0.0476663,
        0.0474107,
        0.0473218,
        0.0475711,
        0.0475499,
        0.0475338,
        0.0473691,
        0.0475526,
        0.0475961,
        0.0495013,
        0.0510407,
        0.0485574,
        0.0479264,
        0.0481496,
        0.0519728,
        0.0535686,
        0.0485721,
        0.0487076,
        0.049096,
        0.0496104,
        0.0499224,
        0.0504575,
        0.0503042,
        0.0510902,
        0.0518163,
        0.0523314,
        0.0528326,
        0.0533351,
        0.0539468,
        0.0546519,
        0.0554391,
        0.0566972,
        0.0574081,
        0.057619,
        0.0577607,
        0.0588992,
        0.0593931,
        0.0602744,
        0.0611011,
        0.0623502,
        0.0637849,
        0.0650006,
        0.0658254,
        0.0676659,
        0.0701259,
        0.0719916,
        0.0739402,
        0.0745986,
        0.0759995,
        0.0793179,
        0.0815148,
        0.0837126,
        0.0861817,
        0.0887997,
        0.0914443,
        0.0946891,
        0.098262,
        0.101267,
        0.105238,
        0.109272,
        0.113375,
        0.118896,
        0.12499,
        0.132739,
        0.140877,
        0.148566,
        0.157556,
        0.170293,
        0.18721,
        0.202586,
        0.219978,
        0.240093,
        0.303326,
        0.341508,
        0.391652,
        0.29656,
        0.257551,
        0.236334,
        0.224037,
        0.205997,
        0.187179,
        0.171244,
        0.156895,
        0.147859,
        0.14022,
        0.131087,
        0.123342,
        0.117681,
        0.112278,
        0.107467,
        0.10271,
        0.0972903,
        0.0930405,
        0.0903207,
        0.0882545,
        0.085872,
        0.0831541,
        0.0806749,
        0.0779729,
        0.0754207,
        0.0729806,
        0.0714472,
        0.0701822,
        0.0682484,
        0.0665318,
        0.0660475,
        0.0648387,
        0.063564,
        0.0632838,
        0.0618842,
        0.0607301,
        0.0597677,
        0.0584516,
        0.0575707,
        0.0572729,
        0.057285,
        0.0601657,
        0.0570529,
        0.0554682,
        0.0546664,
        0.0564139,
        0.0541986,
        0.0522122,
        0.0516284,
        0.0511198,
        0.0507577,
        0.0507556,
        0.0504218,
        0.0498049,
        0.0495377,
        0.0486884,
        0.0482526,
        0.0476417,
        0.0468237,
        0.0463297,
        0.0460282,
        0.0456309,
        0.0453897,
        0.0453165,
        0.0448752,
        0.0441836,
        0.0444789,
        0.0437958,
        0.0431266,
        0.0427609,
        0.0425972,
        0.0468223,
        0.0441875,
        0.0411172,
        0.04424,
        0.0430243,
        0.04086,
        0.0401647,
        0.0400755,
        0.0400631,
        0.0399297,
        0.0394698,
        0.0391817,
        0.0392362,
        0.0390033,
        0.0387212,
        0.0387893,
        0.038462,
        0.0387909,
        0.0385285,
        0.0385721,
        0.0394914,
        0.0399893,
        0.0380752,
        0.038187,
        0.0380608,
        0.0379285,
        0.0378601,
        0.0377846,
        0.0380324,
        0.0379681,
        0.0379579,
        0.0378408,
        0.0378397,
        0.0378399,
        0.0382637,
        0.03796,
        0.0381767,
        0.0379568,
        0.0378924,
        0.0379596,
        0.0380441,
        0.0381886,
        0.0381741,
        0.0381148,
        0.0378709,
        0.0378982,
        0.0378233,
        0.0376657,
        0.0376419,
        0.0373973,
        0.0371444,
        0.036916,
        0.0369662,
        0.0368342,
        0.0365676,
        0.036343,
        0.03653,
        0.0363288,
        0.036126,
        0.0358696,
        0.0357203,
        0.0356783,
        0.035335,
        0.0352487,
        0.0353967,
        0.0354,
        0.0353357,
        0.0349003,
        0.0369293,
        0.0374487,
        0.0365156,
        0.0352597,
        0.0349374,
        0.0346348,
        0.0346114,
        0.0346907,
        0.0349431,
        0.0349582,
        0.0347559,
        0.0346435,
        0.0346244,
        0.0344902,
        0.0355674,
        0.0345827,
        0.0345571,
        0.0343474,
        0.0346218,
        0.0347053,
        0.0346578,
        0.0346261,
        0.0345269,
        0.0348604,
        0.0347654,
        0.0348083,
        0.0349097,
        0.0349592,
        0.0352025,
        0.0350959,
        0.0348443,
        0.034823,
        0.0348905,
        0.0347928,
        0.0350447,
        0.0350005,
        0.0350476,
        0.0348249,
        0.0347538,
        0.0350638,
        0.0350733,
        0.0347935,
        0.0347944,
        0.0346922,
        0.0345513,
        0.0345903,
        0.0342728,
        0.0342107,
        0.0342507,
        0.0340799,
        0.0339191,
        0.0341495,
        0.0339747,
        0.0339263,
        0.0336898,
        0.0337135,
        0.0334945,
        0.0332473,
        0.0331121,
        0.0330938,
        0.0331503,
        0.0330143,
        0.0332392,
        0.0332715,
        0.0331074,
        0.0329078,
        0.0328318,
        0.0331099,
        0.0329866,
        0.0330505,
        0.033287,
        0.0332706,
        0.0333551,
        0.0336392,
        0.0337877,
        0.0342175,
        0.0356111,
        0.0355787,
        0.0348433,
        0.0347566,
        0.0345626,
        0.0342802,
        0.0374683,
        0.0378455,
        0.0345104,
        0.0347322,
        0.0343105,
        0.0341824,
        0.0342628,
        0.0342985,
        0.0344554,
        0.0342459,
        0.0351886,
        0.0344536,
        0.0343099,
        0.0344001,
        0.0345004,
        0.0344312,
        0.0341808,
        0.0339147,
        0.033654,
        0.033788,
        0.0340472,
        0.0344403,
        0.0345065,
        0.0342051,
        0.0341392,
        0.0344481,
        0.0349691,
        0.0379444,
        0.0381788,
        0.0355666,
        0.0352918,
        0.0351877,
        0.0350529,
        0.0347496,
        0.034352,
        0.0341626,
        0.0335678,
        0.0334278,
        0.0332288,
        0.0333806,
        0.0332076,
        0.033032,
        0.032755,
        0.0336879,
        0.0336328,
        0.0325524,
        0.032422,
        0.0323262,
        0.0323437,
        0.0324967,
        0.0324071,
        0.0325623,
        0.0324458,
        0.0324248,
        0.0323402,
        0.0325908,
        0.0325629,
        0.0328194,
        0.0328173,
        0.0328758,
        0.0329166,
        0.0330983,
        0.0330085,
        0.0335833,
        0.0334986,
        0.0335272,
        0.0337237,
        0.0339683,
        0.0338946,
        0.0338476,
        0.0339329,
        0.0341616,
        0.034321,
        0.0341702,
        0.0343347,
        0.0346084,
        0.0344241,
        0.0345262,
        0.0346409,
        0.0344388,
        0.0347368,
        0.0348446,
        0.0361802,
        0.0360393,
        0.0352939,
        0.0353224,
        0.0351971,
        0.0351837,
        0.0350568,
        0.03503,
        0.0353328,
        0.0355835,
        0.0354818,
        0.0356212,
        0.0356546,
        0.0360978,
        0.0362521,
        0.0374985,
        0.0367452,
        0.0397319,
        0.0396459,
        0.0354358,
        0.0352709,
        0.0352091,
        0.0350139,
        0.0347881,
        0.0348151,
        0.0349083,
        0.0347404,
        0.0346743,
        0.0346242,
        0.0348069,
        0.0344985,
        0.0344393,
        0.0342945,
        0.0345943,
        0.0347087,
        0.0363256,
        0.036822,
        0.0351691,
        0.0353456,
        0.0350557,
        0.0348588,
        0.0349711,
        0.0349354,
        0.0349801,
        0.0359342,
        0.0358169,
        0.0354988,
        0.0355344,
        0.0358404,
        0.0358454,
        0.035942,
        0.0361759,
        0.0364534,
        0.0368265,
        0.0370313,
        0.0374949,
        0.0375496,
        0.0378036,
        0.0380359,
        0.038141,
        0.038606,
        0.0403136,
        0.0401713,
        0.038375,
        0.0417096,
        0.0419631,
        0.0378838,
        0.0392548,
        0.0383627,
        0.0375626,
        0.0371997,
        0.0371482,
        0.0369032,
        0.0366457,
        0.0365943,
        0.0364575,
        0.0359924,
        0.0363327,
        0.0363006,
        0.0373831,
        0.0362964,
        0.0361404,
        0.0361171,
        0.0360804,
        0.0362054,
        0.0358494,
        0.0360304,
        0.0360515,
        0.0362753,
        0.0368931,
        0.0367421,
        0.0367355,
        0.0366948,
        0.036779,
        0.0367145,
        0.0367465,
        0.0370116,
        0.0370624,
        0.0371893,
        0.0374938,
        0.037605,
        0.0383093,
        0.0376847,
        0.0373819,
        0.0374934,
        0.0374219,
        0.0374549,
        0.0380532,
        0.0389492,
        0.0374357,
        0.0372707,
        0.037105,
        0.0373394,
        0.0373633,
        0.0373115,
        0.0374826,
        0.0377747,
        0.038121,
        0.0385571,
        0.0379651,
        0.0382617,
        0.0381268,
        0.038221,
        0.0387585,
        0.0394401,
        0.0396869,
        0.0387174,
        0.0384823,
        0.0387564,
        0.039229,
        0.039453,
        0.0397239,
        0.0397043,
        0.0398375,
        0.0393785,
        0.0394254,
        0.0393724,
        0.0396155,
        0.0393844,
        0.0393236,
        0.0396687,
        0.0399452,
        0.0400717,
        0.0399058,
        0.0400099,
        0.0428579,
        0.0411113,
        0.0400363,
        0.0400027,
        0.0396425,
        0.039573,
        0.0393056,
        0.0392169,
        0.0392529,
        0.0393168,
        0.0396084,
        0.039441,
        0.0396473,
        0.0398414,
        0.039979,
        0.0401099,
        0.04153,
        0.0418613,
        0.0407982,
        0.0410368,
        0.0429597,
        0.0432804,
        0.0418676,
        0.0413541,
        0.041606,
        0.0431194,
        0.0424441,
        0.0426089,
        0.0426765,
        0.0425667,
        0.0424621,
        0.0425474,
        0.0428801,
        0.0427194,
        0.042762,
        0.0431333,
        0.0435381,
        0.0440867,
        0.0444351,
        0.0445838,
        0.0449577,
        0.0449374,
        0.0450493,
        0.0447433,
        0.0445829,
        0.0450031,
        0.0455563,
        0.0456016,
        0.0456083,
        0.0458937,
        0.0463392,
        0.0459245,
        0.0460815,
        0.0464137,
        0.0460482,
        0.0457365,
        0.0460156,
        0.0459968,
        0.0458647,
        0.0462988,
        0.0466983,
        0.0464329,
        0.0462975,
        0.0479286,
        0.0474259,
        0.0466798,
        0.0468344,
        0.0467181,
        0.0477936,
        0.0476517,
        0.047452,
        0.0474847,
        0.0478674,
        0.0480563,
        0.0481142,
        0.0481106,
        0.0484559,
        0.0484964,
        0.0486179,
        0.0493227,
        0.0496601,
        0.0498259,
        0.0496321,
        0.0498664,
        0.0500644,
        0.0502713,
        0.0503572,
        0.0505297,
        0.0511125,
        0.0518449,
        0.0520827,
        0.0557153,
        0.0583665,
        0.0533104,
        0.0540875,
        0.0548384,
        0.0552869,
        0.0554975,
        0.0554264,
        0.0562629,
        0.0586422,
        0.0578408,
        0.0574268,
        0.0576078,
        0.0572525,
        0.0582272,
        0.0591099,
        0.0595891,
        0.0667474,
        0.0670169,
        0.0602629,
        0.0613469,
        0.0619311,
        0.0621742,
        0.0622611,
        0.0625892,
        0.0632388,
        0.0635049,
        0.06403,
        0.0657875,
        0.0657193,
        0.0666102,
        0.0675336,
        0.0671244,
        0.0679699,
        0.0686363,
        0.0692818,
        0.0699899,
        0.0706905,
        0.0710075,
        0.0715629,
        0.0719799,
        0.0730466,
        0.0734068,
        0.0791896,
        0.0772748,
        0.0779967,
        0.0812624,
        0.0824092,
        0.0820936,
        0.0829012,
        0.084683,
        0.0858872,
        0.0879568,
        0.0927237,
        0.116133,
        0.118039,
        0.0983199,
        0.100746,
        0.102283,
        0.105036,
        0.10661,
        0.110525,
        0.114252,
        0.117396,
        0.124469,
        0.132708,
        0.137998,
        0.143682,
        0.149816,
        0.156682,
        0.162403,
        0.173613,
        0.184032,
        0.196595,
        0.207215,
        0.222668,
        0.243544,
        0.267695,
        null,
        0.306161,
        0.292855,
        0.279972,
        0.278123,
        0.275185,
        0.268229,
        0.25277,
        0.242739,
        0.234715,
        0.225086,
        0.217738,
        0.211888,
        0.208524,
        0.205413,
        0.197867,
        0.190016,
        0.18569,
        0.182403,
        0.179664,
        0.173278,
        0.167775,
        0.165332,
        0.162263,
        0.159604,
        0.155852,
        0.152496,
        0.148752,
        0.145432,
        0.143499,
        0.139488,
        0.137225,
        0.135743,
        0.135183,
        0.134704,
        0.130774,
        0.127201,
        0.12589,
        0.124534,
        0.121906,
        0.125644,
        0.122173,
        0.12005,
        0.118394,
        0.11471,
        0.114242,
        0.113522,
        0.11218,
        0.11088,
        0.108932,
        0.10699,
        0.10716,
        0.106341,
        0.106074,
        0.103935,
        0.103886,
        0.103572,
        0.10303,
        0.10118,
        0.0988174,
        0.0984441,
        0.0958972,
        0.0946999,
        0.0938479,
        0.0927836,
        0.0917055,
        0.0913965,
        0.0906162,
        0.0902389,
        0.0902948,
        0.0905274,
        0.0905755,
        0.0891361,
        0.0873096,
        0.0869304,
        0.085921,
        0.085174,
        0.0830433,
        0.0822059,
        0.0820432,
        0.0816587,
        0.0817926,
        0.0814949,
        0.0809647,
        0.0787597,
        0.0796165,
        0.0849026,
        0.0843779,
        0.0840204,
        0.0789417,
        0.0764169,
        0.075605,
        0.0746926,
        0.0749792,
        0.0747434,
        0.0743152,
        0.0747174,
        0.0756298,
        0.0762633,
        0.0750889,
        0.0730719,
        0.0717365,
        0.0716519,
        0.0714225,
        0.0712295,
        0.0715106,
        0.0719652,
        0.072719,
        0.0730039,
        0.0721972,
        0.0715012,
        0.0763697,
        0.0762806,
        0.0718404,
        0.0724782,
        0.0717604,
        0.0711654,
        0.0702713,
        0.0700905,
        0.0705711,
        0.0708332,
        0.0707976,
        0.0707004,
        0.0702365,
        0.0698492,
        0.0695958,
        0.0692409,
        0.0681504,
        0.0692581,
        0.0693479,
        0.0694423,
        0.0683733,
        0.0679151,
        0.0690557,
        0.0696128,
        0.0686687,
        0.0686601,
        0.0690661,
        0.0675386,
        0.0675096,
        0.0661795,
        0.0661283,
        0.0655553,
        0.0658506,
        0.0659845,
        0.0661347,
        0.0689348,
        0.0685502,
        0.0664681,
        0.0711747,
        0.0706987,
        0.066015,
        0.0675222,
        0.068133,
        0.0678086,
        0.0679241,
        0.0690495,
        0.0688239,
        0.0687628,
        0.0707294,
        0.0800031,
        0.079169,
        0.0716396,
        0.0710734,
        0.0707062,
        0.0691107,
        0.0684419,
        0.0687062,
        0.0687887,
        0.0684436,
        0.0674052,
        0.0676545,
        0.0671674,
        0.0664175,
        0.0665662,
        0.0664343,
        0.0664479,
        0.0661166,
        0.06564,
        0.0655358,
        0.0699211,
        0.0703166,
        0.0682583,
        0.0708883,
        0.0668006,
        0.0672855,
        0.0675525,
        0.0666737,
        0.0664974,
        0.0664683,
        0.0666806,
        0.0663708,
        0.068136,
        0.0680331,
        0.068135,
        0.0685226,
        0.0684426,
        0.0690508,
        0.0686179,
        0.0681906,
        0.0682046,
        0.0687022,
        0.0677937,
        0.0669972,
        0.069049,
        0.0702567,
        0.069129,
        0.068307,
        0.0681815,
        0.0683855,
        0.0694607,
        0.0701428,
        0.0697253,
        0.0684592,
        0.0689976,
        0.0702429,
        0.0707699,
        0.0715143,
        0.0707538,
        0.0702813,
        0.0702395,
        0.070134,
        0.0708716,
        0.0713912,
        0.0723584,
        0.0823325,
        0.0824899,
        0.0730006,
        0.0737873,
        0.0733327,
        0.0745246,
        0.0746157,
        0.0744879,
        0.0750762,
        0.0762536,
        0.0766499,
        0.0776948,
        0.0789647,
        0.0797129,
        0.0795004,
        0.0801089,
        0.0810802,
        0.0809826,
        0.0813321,
        0.0826839,
        0.0835434,
        0.0835216,
        0.085509,
        0.0873737,
        0.0880444,
        0.0894137,
        0.0896626,
        0.0893321,
        0.0901228,
        0.0917386,
        0.0939103,
        0.0954933,
        0.0964058,
        0.0991629,
        0.102186,
        0.0982578,
        0.0987078,
        0.10152,
        0.10379,
        0.104542,
        0.104974,
        0.10654,
        0.109037,
        0.109916,
        0.113081,
        0.114339,
        0.116246,
        0.120228,
        0.123941,
        0.125098,
        0.129686,
        0.130463,
        0.132347,
        0.137679,
        0.138404,
        0.137215,
        0.148716,
        0.152493,
        0.148834,
        0.152029,
        0.155812,
        0.160118,
        0.164196,
        0.169264,
        0.174907,
        0.182795,
        0.183818,
        0.189395,
        0.199071,
        0.208686,
        0.217626,
        0.225662,
        0.23464,
        0.248022,
        0.253132,
        0.261308,
        0.284382,
        0.297968,
        0.303209,
        0.321548,
        0.358539,
        null,
        0.303878,
        0.256561,
        0.250259,
        0.23419,
        0.227487,
        0.220921,
        0.209857,
        0.20305,
        0.198575,
        0.192587,
        0.185751,
        0.178965,
        0.171542,
        0.165317,
        0.162789,
        0.160984,
        0.156721,
        0.151593,
        0.14782,
        0.142933,
        0.13899,
        0.136494,
        0.136962,
        0.133728,
        0.129319,
        0.129007,
        0.124987,
        0.121288,
        0.121411,
        0.118192,
        0.11662,
        0.124187,
        0.123104,
        0.114716,
        0.112964,
        0.110962,
        0.109143,
        0.111944,
        0.108506,
        0.112952,
        0.111109,
        0.103102,
        0.103137,
        0.106294,
        0.104877,
        0.100517,
        0.100488,
        0.0995172,
        0.0990724,
        0.0979909,
        0.0980886,
        0.0976635,
        0.0981674,
        0.0971596,
        0.0979854,
        0.101047,
        0.0980508,
        0.105413,
        0.105863,
        0.10226,
        0.102316,
        0.102011,
        0.103125,
        0.105166,
        0.116899,
        0.120112,
        0.115537,
        0.119398,
        0.126491,
        0.14073,
        0.149774,
        0.153908,
        0.1663,
        0.178326,
        0.189405,
        0.197674,
        0.226365,
        0.223305,
        0.193472,
        0.179496,
        0.161181,
        0.151606,
        0.14096,
        0.1279,
        0.118088,
        0.109996,
        0.103523,
        0.101423,
        0.107859,
        0.0971023,
        0.0888889,
        0.0863863,
        0.0845224,
        0.0827416,
        0.0818238,
        0.080728,
        0.081716,
        0.0815318,
        0.0794342,
        0.0778004,
        0.0778693,
        0.0773967,
        0.0789245,
        0.0762346,
        0.0744486,
        0.0738699,
        0.0729202,
        0.0716485,
        0.0704766,
        0.0695916,
        0.0683764,
        0.0673268,
        0.0661205,
        0.0652846,
        0.0654784,
        0.0658101,
        0.0664484,
        0.0667513,
        0.0651592,
        0.0638101,
        0.0656875,
        0.0657791,
        0.063409,
        0.0632425,
        0.0630582,
        0.0633042,
        0.0618334,
        0.0611911,
        0.0606626,
        0.071309,
        0.0672531,
        0.060584,
        0.0608898,
        0.0605715,
        0.0607355,
        0.0603166,
        0.0596626,
        0.0596726,
        0.0604352,
        0.0599587,
        0.0589981,
        0.0577915,
        0.061802,
        0.0623152,
        0.0566838,
        0.0561218,
        0.0564438,
        0.0556356,
        0.05564,
        0.0549571,
        0.0536247,
        0.0534049,
        0.0532553,
        0.0527206,
        0.05283,
        0.0531218,
        0.0535347,
        0.0538694,
        0.0537826,
        0.0537372,
        0.0537289,
        0.0543768,
        0.0549308,
        0.0558658,
        0.0571194,
        0.0579539,
        0.059001,
        0.0583337,
        0.0570639,
        0.0595586,
        0.0558477,
        0.054622,
        0.0548332,
        0.0531489,
        0.0529528,
        0.0528,
        0.0525006,
        0.052637,
        0.0525899,
        0.0528428,
        0.0537111,
        0.0539138,
        0.0552795,
        0.0551368,
        0.0531785,
        0.0532822,
        0.0533488,
        0.0548888,
        0.0552151,
        0.054155,
        0.0542338,
        0.0540725,
        0.0539324,
        0.0536866,
        0.0536811,
        0.0538515,
        0.0543476,
        0.0541082,
        0.0541306,
        0.0525699,
        0.0518767,
        0.0511971,
        0.0512801,
        0.0513026,
        0.0512906,
        0.0523182,
        0.0521254,
        0.0512374,
        0.0505264,
        0.0502375,
        0.0495902,
        0.0494095,
        0.0492955,
        0.0495724,
        0.0493017,
        0.0491983,
        0.0509491,
        0.0492258,
        0.0480846,
        0.0480513,
        0.0484501,
        0.0486861,
        0.0488916,
        0.0490197,
        0.048586,
        0.0480866,
        0.047921,
        0.0483344,
        0.048887,
        0.0492382,
        0.0493278,
        0.0500427,
        0.0497425,
        0.0497737,
        0.0501062,
        0.0498584,
        0.0506022,
        0.0510011,
        0.0514322,
        0.0511568,
        0.0515942,
        0.0521288,
        0.0527933,
        0.0539981,
        0.0562224,
        0.0580826,
        0.0609787,
        0.0651953,
        0.0692921,
        0.0751581,
        0.0806907,
        0.0860654,
        0.0878218,
        0.0850218,
        0.0808586,
        0.0741094,
        0.0678148,
        0.0631583,
        0.0604971,
        0.0582845,
        0.0560988,
        0.0548308,
        0.0542591,
        0.0525812,
        0.0519221,
        0.0514164,
        0.0516193,
        0.0512293,
        0.0510455,
        0.0506582,
        0.0505971,
        0.0565231,
        0.0579435,
        0.0513309,
        0.0493589,
        0.049565,
        0.0490424,
        0.0490653,
        0.0491188,
        0.048814,
        0.0484118,
        0.0490089,
        0.0490618,
        0.0486937,
        0.0480465,
        0.0478322,
        0.047973,
        0.0475336,
        0.0477738,
        0.0476261,
        0.0480206,
        0.0481398,
        0.047695,
        0.0476017,
        0.0472997,
        0.0472435,
        0.0473048,
        0.0472696,
        0.0475966,
        0.0517447,
        0.0553325,
        0.0532338,
        0.0477546,
        0.0478216,
        0.0477867,
        0.0482704,
        0.0482232,
        0.0481944,
        0.04785,
        0.0474354,
        0.0476732,
        0.0481915,
        0.0482666,
        0.0486179,
        0.0488269,
        0.0487292,
        0.048786,
        0.0490842,
        0.0489391,
        0.0491134,
        0.0492516,
        0.0492975,
        0.0492562,
        0.0493462,
        0.0490168,
        0.0488854,
        0.0488978,
        0.049159,
        0.049419,
        0.0494783,
        0.0496776,
        0.0495006,
        0.049389,
        0.0491257,
        0.0497195,
        0.0500794,
        0.0497935,
        0.0494646,
        0.0485379,
        0.0488776,
        0.048829,
        0.0489749,
        0.0491875,
        0.0490984,
        0.049215,
        0.0489198,
        0.0486354,
        0.0486665,
        0.0485704,
        0.048642,
        0.0487328,
        0.0490036,
        0.0486177,
        0.0483237,
        0.0483143,
        0.0474241,
        0.0476883,
        0.0479344,
        0.048602,
        0.0484295,
        0.0482931,
        0.0478646,
        0.0472362,
        0.0475568,
        0.0476834,
        0.0474691,
        0.0476272,
        0.047604,
        0.0474016,
        0.0479564,
        0.0491692,
        0.0493605,
        0.04985,
        0.0483621,
        0.0484055,
        0.0479899,
        0.0480561,
        0.0483854,
        0.0486291,
        0.0489679,
        0.0487871,
        0.0487956,
        0.0485413,
        0.0487569,
        0.0487215,
        0.0490863,
        0.0489257,
        0.0493064,
        0.0494786,
        0.0499851,
        0.0495844,
        0.0497315,
        0.0502605,
        0.0505681,
        0.0507713,
        0.0511871,
        0.0513348,
        0.0512938,
        0.0510683,
        0.0512883,
        0.0512898,
        0.0510217,
        0.0506554,
        0.0513897,
        0.0508153,
        0.0517349,
        0.0520101,
        0.0520453,
        0.0518093,
        0.051851,
        0.0518234,
        0.0520158,
        0.0520433,
        0.0521721,
        0.0523773,
        0.0521421,
        0.0525219,
        0.0523368,
        0.0527305,
        0.0528657,
        0.0531143,
        0.0525359,
        0.052878,
        0.0525749,
        0.0533652,
        0.0541933,
        0.0549571,
        0.0546111,
        0.0553172,
        0.0557292,
        0.0560902,
        0.056305,
        0.0574983,
        0.0590957,
        0.060856,
        0.0678307,
        0.0713147,
        0.0663923,
        0.0682383,
        0.0711385,
        0.0747838,
        0.0774372,
        0.0898718,
        0.0893652,
        0.0830533,
        0.0841276,
        0.104151,
        0.0982755,
        0.0872754,
        0.0872057,
        0.0866664,
        0.0864022,
        0.0838281,
        0.0829484,
        0.0832938,
        null,
        0.0395498,
        0.0397501,
        0.0400964,
        0.0398945,
        0.0400528,
        0.040145,
        0.0403413,
        0.0405168,
        0.0410271,
        0.0410108,
        0.043175,
        0.0424178,
        0.0395718,
        0.0391165,
        0.0402385,
        0.0401157,
        0.0384426,
        0.03838,
        0.0381111,
        0.0379482,
        0.037801,
        0.0378831,
        0.037958,
        0.0379139,
        0.0405774,
        0.0405663,
        0.0380386,
        0.0385122,
        0.0388752,
        0.0391974,
        0.0398309,
        0.0403854,
        0.0414035,
        0.0432843,
        0.0465247,
        0.0567818,
        0.0595693,
        0.0575791,
        0.0598144,
        0.0602763,
        0.0582588,
        0.0551379,
        0.051539,
        0.048472,
        0.0461893,
        0.0438283,
        0.0420776,
        0.040983,
        0.0409735,
        0.040569,
        0.0397758,
        0.0393776,
        0.0389376,
        0.0390216,
        0.0452581,
        0.0453656,
        0.0388881,
        0.0387168,
        0.0386206,
        0.0387788,
        0.0385929,
        0.0384375,
        0.0383375,
        0.0385255,
        0.0386383,
        0.0388116,
        0.0387088,
        0.0386899,
        0.0389319,
        0.0390255,
        0.0393195,
        0.0393544,
        0.0395233,
        0.039737,
        0.0397437,
        0.0399129,
        0.0397073,
        0.0394997,
        0.0394462,
        0.039213,
        0.0420369,
        0.0426425,
        0.0410859,
        0.0407515,
        0.0394478,
        0.0399599,
        0.0403124,
        0.0406062,
        0.0411377,
        0.0423247,
        0.0429214,
        0.0450363,
        0.0505732,
        0.0498169,
        0.049254,
        0.0522796,
        0.0562016,
        0.0620628,
        0.0705687,
        0.0832498,
        0.104277,
        0.135536,
        0.182424,
        0.242465,
        0.280617,
        0.277596,
        0.233946,
        0.176522,
        0.136984,
        0.105351,
        0.0855911,
        0.0727461,
        0.0642062,
        0.0586946,
        0.0541458,
        0.0521779,
        0.0498292,
        0.0462085,
        0.0446219,
        0.0432518,
        0.0430257,
        0.0424993,
        0.0410173,
        0.0403778,
        0.0399768,
        0.039464,
        0.03917,
        0.0387746,
        0.0383958,
        0.0381001,
        0.0379974,
        0.0377888,
        0.0373661,
        0.0371746,
        0.0370771,
        0.036875,
        0.0367437,
        0.03639,
        0.0362852,
        0.0360747,
        0.0358528,
        0.0355552,
        0.0353511,
        0.0351691,
        0.0349402,
        0.0348107,
        0.0348116,
        0.0345764,
        0.0344733,
        0.0343658,
        0.0344008,
        0.034229,
        0.0340704,
        0.0339704,
        0.0343035,
        0.034367,
        0.034151,
        0.0340328,
        0.0338965,
        0.0339822,
        0.0341617,
        0.0394941,
        0.03952,
        0.0340614,
        0.0342273,
        0.0342636,
        0.0342753,
        0.0342419,
        0.0341632,
        0.0344879,
        0.034783,
        0.0345678,
        0.0344917,
        0.0344231,
        0.0346825,
        0.0346234,
        0.0346063,
        0.0348243,
        0.0350139,
        0.0349601,
        0.0352309,
        0.0353902,
        0.0353938,
        0.035583,
        0.03563,
        0.0355884,
        0.0355333,
        0.0352925,
        0.0352769,
        0.0350987,
        0.0350785,
        0.0350133,
        0.0350309,
        0.035061,
        0.0349705,
        0.0346935,
        0.0345317,
        0.034511,
        0.0343893,
        0.0358895,
        0.034937,
        0.0341085,
        0.0340985,
        0.0340289,
        0.0340195,
        0.0341705,
        0.0359274,
        0.0345859,
        0.0335719,
        0.0335189,
        0.0334999,
        0.0334816,
        0.0334544,
        0.0335341,
        0.0334396,
        0.0333194,
        0.0334008,
        0.0332879,
        0.0333648,
        0.0331817,
        0.033244,
        0.0332388,
        0.0349316,
        0.0357425,
        0.0333068,
        0.0334382,
        0.033493,
        0.0335679,
        0.0336229,
        0.0337918,
        0.0380127,
        0.0359545,
        0.0337149,
        0.0339302,
        0.0339432,
        0.034162,
        0.0342109,
        0.0342269,
        0.0340537,
        0.0341163,
        0.0342388,
        0.0341391,
        0.0339016,
        0.0338447,
        0.0335947,
        0.0337911,
        0.0337794,
        0.0339872,
        0.0341473,
        0.0341993,
        0.0339024,
        0.0338578,
        0.0337899,
        0.0337965,
        0.0338574,
        0.0336001,
        0.0335363,
        0.0334269,
        0.0333619,
        0.0333048,
        0.0342375,
        0.0342821,
        0.0332047,
        0.0331338,
        0.032837,
        0.0328498,
        0.03284,
        0.0324704,
        0.0325754,
        0.0325424,
        0.0323761,
        0.0323908,
        0.0323086,
        0.032304,
        0.0321856,
        0.0320063,
        0.0322114,
        0.0320283,
        0.0321302,
        0.0323169,
        0.0324596,
        0.0322535,
        0.0322852,
        0.032377,
        0.0324819,
        0.0325122,
        0.0325738,
        0.0327269,
        0.0326642,
        0.0327374,
        0.0331462,
        0.0336399,
        0.0338598,
        0.0341263,
        0.0343333,
        0.0346872,
        0.0347414,
        0.0349639,
        0.0350243,
        0.034739,
        0.0346659,
        0.034577,
        0.0344366,
        0.03426,
        0.0339692,
        0.0339423,
        0.0337017,
        0.0334704,
        0.033279,
        0.0335548,
        0.0335188,
        0.0335839,
        0.0365982,
        0.0362448,
        0.032935,
        0.0328032,
        0.0329688,
        0.0330629,
        0.0328336,
        0.032649,
        0.0324007,
        0.0322744,
        0.0322159,
        0.0324653,
        0.032442,
        0.0322064,
        0.0320677,
        0.0320617,
        0.0322042,
        0.0319656,
        0.0321856,
        0.0320093,
        0.0335434,
        0.0335803,
        0.0316547,
        0.0314657,
        0.0315724,
        0.0315916,
        0.0319176,
        0.0317148,
        0.0317455,
        0.0317623,
        0.0315409,
        0.0315643,
        0.0316951,
        0.0316536,
        0.0319158,
        0.031947,
        0.0321468,
        0.0317746,
        0.0318075,
        0.0316916,
        0.0319273,
        0.0320879,
        0.0321875,
        0.0323221,
        0.032339,
        0.0324493,
        0.0328004,
        0.032682,
        0.0327359,
        0.0347326,
        0.0338315,
        0.0334527,
        0.03317,
        0.0329435,
        0.0329416,
        0.032727,
        0.0333948,
        0.0361833,
        0.0380713,
        0.0359469,
        0.0337074,
        0.0337439,
        0.0337408,
        0.0336299,
        0.0334152,
        0.0331154,
        0.0330025,
        0.0327363,
        0.032909,
        0.0327829,
        0.0325048,
        0.0323432,
        0.0321591,
        0.032112,
        0.0320177,
        0.0319418,
        0.0319285,
        0.0319303,
        0.0317537,
        0.0316512,
        0.0317122,
        0.0314957,
        0.0313194,
        0.0314883,
        0.031499,
        0.0314722,
        0.0314514,
        0.0332564,
        0.0326912,
        0.0316325,
        0.031555,
        0.0316424,
        0.0316812,
        0.0314404,
        0.0317996,
        0.0316513,
        0.0316857,
        0.0317599,
        0.0318245,
        0.0320422,
        0.0320776,
        0.0320521,
        0.0323811,
        0.032405,
        0.0323424,
        0.0323756,
        0.0324235,
        0.0324864,
        0.0327915,
        0.0326952,
        0.0328191,
        0.0384023,
        0.0381955,
        0.0327659,
        0.0326767,
        0.0327554,
        0.0327503,
        0.0327782,
        0.0328958,
        0.0330877,
        0.0342205,
        0.0340049,
        0.0331543,
        0.0331604,
        0.0333618,
        0.0333272,
        0.0332395,
        0.0334007,
        0.0330796,
        0.0330504,
        0.0330502,
        0.0330979,
        0.0333154,
        0.0332209,
        0.0331577,
        0.0333691,
        0.0335039,
        0.0337759,
        0.0338375,
        0.0337596,
        0.0343289,
        0.0346888,
        0.0351929,
        0.0358142,
        0.0368886,
        0.0374258,
        0.0382528,
        0.0395007,
        0.0417495,
        0.0438178,
        0.0462269,
        0.0493918,
        0.0531677,
        0.0552619,
        0.0563847,
        0.056013,
        0.0542217,
        0.0545444,
        0.0519474,
        0.0464544,
        0.0440887,
        0.0419404,
        0.0402779,
        0.0386505,
        0.0377081,
        0.0369543,
        0.0363281,
        0.0357281,
        0.0352029,
        0.0347142,
        0.0344739,
        0.0346521,
        0.0342668,
        0.0343151,
        0.034337,
        0.0342592,
        0.0339534,
        0.0338429,
        0.0336716,
        0.0336443,
        0.0338512,
        0.0339739,
        0.0336769,
        0.0334203,
        0.033343,
        0.0332575,
        0.033545,
        0.0336139,
        0.0331744,
        0.0329388,
        0.0327496,
        0.0325723,
        0.0324067,
        0.0325034,
        0.0326225,
        0.0325379,
        0.0323463,
        0.0322301,
        0.0325532,
        0.0323715,
        0.0320967,
        0.0318099,
        0.0317877,
        0.0319363,
        0.0319709,
        0.0316734,
        0.0317416,
        0.0317252,
        0.0317498,
        0.0317511,
        0.0319217,
        0.03174,
        0.0317178,
        0.0316598,
        0.031466,
        0.0316632,
        0.0316488,
        0.0319255,
        0.0320461,
        0.0317759,
        0.0317235,
        0.0317942,
        0.0320272,
        0.0319638,
        0.0322354,
        0.0323084,
        0.0324644,
        0.0327168,
        0.0330112,
        0.0329913,
        0.03307,
        0.0332482,
        0.0336308,
        0.0335574,
        0.0339517,
        0.0339756,
        0.0343959,
        0.0344124,
        0.0345098,
        0.0345566,
        0.0349434,
        0.0353297,
        0.0354877,
        0.0353337,
        0.0354591,
        0.0355335,
        0.0355901,
        0.0357299,
        0.0365668,
        0.0365071,
        0.0361305,
        0.0362591,
        0.0362085,
        0.0372616,
        0.0378238,
        0.0379308,
        0.0375508,
        0.03733,
        0.0374259,
        0.0371774,
        0.0372174,
        0.0369732,
        0.0372445,
        0.0371964,
        0.0373487,
        0.0376155,
        0.0376478,
        0.0379833,
        0.038278,
        0.0382236,
        0.0386772,
        0.0387955,
        0.03934,
        0.0397139,
        0.0407963,
        0.0411696,
        0.0408553,
        0.04117,
        0.0413423,
        0.0417558,
        0.0426432,
        0.0437254,
        0.0441029,
        0.0447149,
        0.0457548,
        0.0463232,
        0.0475412,
        0.0484373,
        0.0494101,
        0.0507283,
        0.0522617,
        0.0533536,
        0.0550144,
        0.0563319,
        0.0585782,
        0.060559,
        0.0629292,
        0.0667436,
        0.0702939,
        0.0746099,
        0.0768751,
        0.0820714,
        0.088413,
        0.094492,
        0.101366,
        0.109931,
        0.123195,
        0.13788,
        0.157174,
        0.180182,
        0.208039,
        0.238945,
        0.269249,
        0.222439,
        0.191075,
        0.163761,
        0.144308,
        0.132394,
        0.115615,
        0.104111,
        0.0958423,
        0.0894706,
        0.0843325,
        0.0795605,
        0.0739122,
        0.0705322,
        0.0678091,
        0.0646945,
        0.0619703,
        0.0599661,
        0.0580978,
        0.0570637,
        0.055009,
        0.0537268,
        0.0528535,
        0.051465,
        0.050567,
        0.0496802,
        0.0483532,
        0.047914,
        0.0469266,
        0.0463374,
        0.0460435,
        0.0455825,
        0.0446782,
        0.0445306,
        0.0441792,
        0.04391,
        0.0476963,
        0.0472382,
        0.0426194,
        0.042052,
        0.0417213,
        0.0413508,
        0.0407655,
        0.0404965,
        0.0402916,
        0.0394397,
        0.0389808,
        0.0386481,
        0.0385447,
        0.0381696,
        0.0377495,
        0.0372419,
        0.0368823,
        0.0367943,
        0.0365161,
        0.0364339,
        0.0360477,
        0.0360385,
        0.0356347,
        0.035445,
        0.0364183,
        0.0353784,
        0.0349599,
        0.0349973,
        0.0373028,
        0.0373123,
        0.0343171,
        0.0340077,
        0.0341973,
        0.0345367,
        0.0338378,
        0.0340278,
        0.0340832,
        0.0343767,
        0.0339779,
        0.0343386,
        0.0348044,
        0.0347482,
        0.0348838,
        0.0350149,
        0.0347502,
        0.0346951,
        0.0347901,
        0.0348111,
        0.0347741,
        0.0350216,
        0.0349801,
        0.0354148,
        0.0361872,
        0.0376017,
        0.0388079,
        0.0396624,
        0.0391004,
        0.0378818,
        0.0392985,
        0.0376378,
        0.0345014,
        0.0340988,
        0.0338327,
        0.033719,
        0.0334114,
        0.0334974,
        0.0336561,
        0.0335969,
        0.0338593,
        0.0341908,
        0.0337192,
        0.0335092,
        0.033405,
        0.0331042,
        0.0337427,
        0.0336788,
        0.0338208,
        0.0339851,
        0.0338935,
        0.0340103,
        0.0370754,
        0.0372071,
        0.0335483,
        0.0333377,
        0.0328289,
        0.0324711,
        0.0321267,
        0.0322088,
        0.0319328,
        0.0316139,
        0.0319097,
        0.0320202,
        0.0315244,
        0.0312326,
        0.0310886,
        0.0311,
        0.0311351,
        0.031255,
        0.0311463,
        0.0312246,
        0.0313497,
        0.0313594,
        0.031097,
        0.0311291,
        0.0309197,
        0.0309285,
        0.0310129,
        0.031118,
        0.0310211,
        0.0314345,
        0.0313626,
        0.0314693,
        0.0314821,
        0.0313301,
        0.0342013,
        0.0343578,
        0.0316918,
        0.0315684,
        0.0316688,
        0.0318593,
        0.0318605,
        0.0317565,
        0.0321618,
        0.0329888,
        0.0331523,
        0.0324434,
        0.0321994,
        0.0323964,
        0.0324778,
        0.032279,
        0.0323534,
        0.0322552,
        0.0319606,
        0.0320912,
        0.0319625,
        0.0321288,
        0.0319041,
        0.0319385,
        0.0321456,
        0.0323426,
        0.0322601,
        0.032701,
        0.0332666,
        0.0336941,
        0.0336794,
        0.0340572,
        0.0336556,
        0.0332881,
        0.0320749,
        0.0318085,
        0.0317898,
        0.0318534,
        0.0317845,
        0.0313868,
        0.0314301,
        0.0311926,
        0.0308399,
        0.0309603,
        0.0321517,
        0.0320572,
        0.0308131,
        0.0310208,
        0.0313242,
        0.0312063,
        0.0306597,
        0.0308712,
        0.0309954,
        0.0309271,
        0.0316667,
        0.0320971,
        0.0315948,
        0.0317641,
        0.0311159,
        0.0311891,
        0.0319112,
        0.031487,
        0.0315976,
        0.0317695,
        0.0314999,
        0.031505,
        0.0315783,
        0.0328359,
        0.0328654,
        0.031985,
        0.0320282,
        0.0322281,
        0.0319551,
        0.0320319,
        0.0322714,
        0.0326682,
        0.0326998,
        0.032565,
        0.0325943,
        0.0325823,
        0.0325599,
        0.0328435,
        0.0325386,
        0.0324535,
        0.0324318,
        0.0326935,
        0.0326985,
        0.0323397,
        0.0324273,
        0.0325161,
        0.0323371,
        0.0325265,
        0.0323877,
        0.032181,
        0.0319519,
        0.0321395,
        0.0321262,
        0.0337504,
        0.0337973,
        0.0320702,
        0.0316563,
        0.0318427,
        0.031767,
        0.0317773,
        0.0314034,
        0.031331,
        0.0316988,
        0.0317591,
        0.0314251,
        0.0316503,
        0.0313404,
        0.0313393,
        0.031379,
        0.0315315,
        0.0311319,
        0.0311748,
        0.0310234,
        0.0315543,
        0.0320449,
        0.0317244,
        0.0315961,
        0.031749,
        0.0316521,
        0.0321624,
        0.0320643,
        0.0319803,
        0.0319781,
        0.031656,
        0.0316143,
        0.0317808,
        0.0318716,
        0.0318221,
        0.032266,
        0.034821,
        0.0349209,
        0.0329517,
        0.0326983,
        0.032592,
        0.0325433,
        0.0329921,
        0.0331431,
        0.0331017,
        0.033154,
        0.0332514,
        0.0334916,
        0.0333312,
        0.0332746,
        0.0332504,
        0.0330909,
        0.0331062,
        0.0335813,
        0.0385704,
        0.0383932,
        0.0329201,
        0.03295,
        0.0383502,
        0.0383691,
        0.0336877,
        0.033523,
        0.0335127,
        0.0331202,
        0.0329934,
        0.0330668,
        0.0333705,
        0.0334101,
        0.0338013,
        0.0339511,
        0.0341387,
        0.0340972,
        0.0341644,
        0.0339126,
        0.033479,
        0.0331758,
        0.0328133,
        0.0326054,
        0.0325218,
        0.0324549,
        0.0321635,
        0.0318116,
        0.0318298,
        0.0321998,
        0.0324454,
        0.0323144,
        0.0321106,
        0.0323161,
        0.0320623,
        0.0317842,
        0.0318491,
        0.0319978,
        0.032248,
        0.032448,
        0.0328698,
        0.0328118,
        0.032856,
        0.0331367,
        0.0334468,
        0.0330375,
        0.033335,
        0.033598,
        0.0332729,
        0.0333096,
        0.0331857,
        0.0329983,
        0.0329841,
        0.0333485,
        0.0333131,
        0.0332352,
        0.0337479,
        0.0339051,
        0.0336822,
        0.0339121,
        0.0338574,
        0.0340006,
        0.0343677,
        0.0342542,
        0.0339447,
        0.0339913,
        0.0335968,
        0.0335667,
        0.033559,
        0.0352704,
        0.0364229,
        0.0336972,
        0.033573,
        0.0336745,
        0.0336852,
        0.0335147,
        0.0338607,
        0.0336516,
        0.0334902,
        0.03353,
        0.0359744,
        0.0356333,
        0.0334719,
        0.0374684,
        0.0373697,
        0.0330304,
        0.0328102,
        0.0326653,
        0.0335171,
        0.0334239,
        0.0328791,
        0.0327451,
        0.0323759,
        0.0323984,
        0.0329676,
        0.0331057,
        0.0325572,
        0.0325134,
        0.0325489,
        0.0327606,
        0.0348294,
        0.0341974,
        0.0326643,
        0.0324148,
        0.0323689,
        0.0326002,
        0.0329666,
        0.0330964,
        0.0383034,
        0.0385405,
        0.0333976,
        0.0334871,
        0.0332667,
        0.0331473,
        0.0333912,
        0.0335982,
        0.0338124,
        0.0337814,
        0.0336126,
        0.0340763,
        0.0341827,
        0.0343859,
        0.0347648,
        0.0351552,
        0.0356331,
        0.0355924,
        0.0361209,
        0.0357866,
        0.0396094,
        0.0393712,
        0.0350094,
        0.038061,
        0.0382539,
        0.0371978,
        0.0368345,
        0.0343157,
        0.0341678,
        0.0341734,
        0.0342744,
        0.0339941,
        0.0343431,
        0.0346299,
        0.0343596,
        0.0340955,
        0.0338077,
        0.0347206,
        0.0355776,
        0.0336592,
        0.0332238,
        0.033196,
        0.036571,
        0.0369904,
        0.033629,
        0.0332914,
        0.0334454,
        0.0339174,
        0.0333936,
        0.0332181,
        0.0335241,
        0.0335411,
        0.0333777,
        0.0341214,
        0.033039,
        0.0326282,
        0.0328001,
        0.0328321,
        0.0328471,
        0.0328986,
        0.0371585,
        0.0352181,
        0.0332724,
        0.033156,
        0.033434,
        0.033333,
        0.0334338,
        0.0335892,
        0.0338481,
        0.0338384,
        0.0341108,
        0.0348102,
        0.0341201,
        0.0341558,
        0.0342409,
        0.0342973,
        0.0345398,
        0.034803,
        0.0348418,
        0.0344604,
        0.0346108,
        0.0345556,
        0.034539,
        0.0349064,
        0.0346998,
        0.0349396,
        0.0349635,
        0.034946,
        0.0381882,
        0.0381776,
        0.035081,
        0.0354763,
        0.0359079,
        0.0355207,
        0.035443,
        0.0353478,
        0.0357102,
        0.0355368,
        0.0408591,
        0.0403365,
        0.0352656,
        0.0350914,
        0.0351218,
        0.0356614,
        0.0360352,
        0.0359791,
        0.0361887,
        0.0362173,
        0.0365694,
        0.0368297,
        0.036868,
        0.0371763,
        0.0375965,
        0.0372381,
        0.036891,
        0.0364546,
        0.0361132,
        0.0355171,
        0.035605,
        0.0360823,
        0.0353579,
        0.0356523,
        0.0356434,
        0.034768,
        0.0345357,
        0.0345194,
        0.0346283,
        0.034674,
        0.0345026,
        0.0347196,
        0.0350406,
        0.0354105,
        0.035284,
        0.0354132,
        0.0354351,
        0.0352416,
        0.0355024,
        0.0395645,
        0.0393595,
        0.035318,
        0.0354774,
        0.0354964,
        0.035704,
        0.0359749,
        0.0358765,
        0.0361913,
        0.0362235,
        0.0362096,
        0.0368972,
        0.0371517,
        0.0363312,
        0.0364371,
        0.0366459,
        0.036886,
        0.0371143,
        0.0368885,
        0.0367903,
        0.0369135,
        0.037067,
        0.0368556,
        0.0372094,
        0.037194,
        0.0371793,
        0.0372423,
        0.0395887,
        0.0395109,
        0.0370288,
        0.0367808,
        0.0365897,
        0.0368162,
        0.0367868,
        0.0365584,
        0.0368532,
        0.0370526,
        0.0368188,
        0.0366263,
        0.0367625,
        0.0367216,
        0.0363767,
        0.0363123,
        0.0364111,
        0.0366672,
        0.0367232,
        0.0367992,
        0.0364729,
        0.0361784,
        0.0364806,
        0.036581,
        0.0364636,
        0.0367397,
        0.0369494,
        0.0368629,
        0.0366406,
        0.0364373,
        0.0365595,
        0.0368331,
        0.0367015,
        0.0369927,
        0.037567,
        0.0439707,
        0.0414407,
        0.0376694,
        0.0378355,
        0.038271,
        0.0385532,
        0.0377565,
        0.0377934,
        0.0381693,
        0.0378183,
        0.0380684,
        0.038409,
        0.0383223,
        0.038304,
        0.0386931,
        0.0385583,
        0.041729,
        0.0417397,
        0.0386344,
        0.0384898,
        0.0383255,
        0.0388158,
        0.0387545,
        0.038498,
        0.0386632,
        0.0391772,
        0.0392149,
        0.0389992,
        0.0392847,
        0.0435373,
        0.0435175,
        0.0390327,
        0.0397743,
        0.0417526,
        0.0413312,
        0.0387003,
        0.0389743,
        0.0416536,
        0.0414875,
        0.0394055,
        0.0388369,
        0.0386635,
        0.0387272,
        0.0385493,
        0.0383963,
        0.0384996,
        0.0386969,
        0.0386233,
        0.038445,
        0.0385412,
        0.0388308,
        0.038929,
        0.0387487,
        0.0390031,
        0.0392464,
        0.038967,
        0.0385813,
        0.0388122,
        0.0396426,
        0.0398646,
        0.0397678,
        0.0391052,
        0.0389219,
        0.0393154,
        0.0393578,
        0.0393254,
        0.0395295,
        0.0396849,
        0.0393258,
        0.0393117,
        0.0394488,
        0.0401244,
        0.0403639,
        0.0405645,
        0.0409704,
        0.0408981,
        0.0409628,
        0.0409179,
        0.0410643,
        0.0413139,
        0.0410666,
        0.0408582,
        0.0414498,
        0.0418045,
        0.0417236,
        0.0415404,
        0.0451472,
        0.0456737,
        0.0429192,
        0.0434779,
        0.0429188,
        0.0421646,
        0.0422799,
        0.0425168,
        0.0426236,
        0.0430341,
        0.0433171,
        0.0435239,
        0.0439126,
        0.0441621,
        0.0440885,
        0.0441999,
        0.0446886,
        0.0447902,
        0.044736,
        0.0450917,
        0.0458096,
        0.0468609,
        0.0479346,
        0.0490169,
        0.0503285,
        0.051958,
        0.0535872,
        0.054941,
        0.0554387,
        0.056129,
        0.0560127,
        0.0550781,
        0.0553138,
        0.054433,
        0.0535695,
        0.0527751,
        0.0495588,
        0.0484196,
        0.0473155,
        0.0466832,
        0.0464057,
        0.0460608,
        0.0455525,
        0.0457443,
        0.0455982,
        0.0451462,
        0.0453737,
        0.0455024,
        0.0453568,
        0.04507,
        0.0446769,
        0.0450014,
        0.0455163,
        0.0455829,
        0.0450038,
        0.0451828,
        0.0459327,
        0.0462217,
        0.0459354,
        0.0467934,
        0.047426,
        0.0474449,
        0.0477764,
        0.0472594,
        0.0471873,
        0.0477194,
        0.0478784,
        0.0499996,
        0.049979,
        0.0483729,
        0.048483,
        0.0484383,
        0.0485527,
        0.0484972,
        0.0492634,
        0.0500362,
        0.0498377,
        0.0504278,
        0.0503583,
        0.0505192,
        0.0506829,
        0.0510927,
        0.0522613,
        0.0532142,
        0.0531509,
        0.0534326,
        0.0559812,
        0.0570652,
        0.0546075,
        0.0549712,
        0.0547723,
        0.0543459,
        0.0536759,
        0.0526802,
        0.0526336,
        0.0526555,
        0.0519935,
        0.0513353,
        0.0517273,
        0.0515127,
        0.0510505,
        0.0513917,
        0.0511051,
        0.0510187,
        0.0506988,
        0.0508741,
        0.0513325,
        0.051059,
        0.0509426,
        0.0513566,
        0.0522621,
        0.0534957,
        0.0530538,
        0.0524326,
        0.0529513,
        0.0531798,
        0.0531431,
        0.0532529,
        0.0540145,
        0.0543196,
        0.0550298,
        0.0553143,
        0.0555576,
        0.0558133,
        0.0548731,
        0.0552154,
        0.0550819,
        0.0550992,
        0.0554028,
        0.0561808,
        0.0566735,
        0.0570819,
        0.0574558,
        0.0578799,
        0.0582282,
        0.058461,
        0.0654119,
        0.0667948,
        0.0710011,
        0.0709268,
        0.0613008,
        0.0623001,
        0.062549,
        0.0627357,
        0.0623522,
        0.0615924,
        0.0617572,
        0.0667573,
        0.0665922,
        0.0630483,
        0.0638026,
        0.0651248,
        0.0685475,
        0.0683107,
        0.0683784,
        0.0684618,
        0.0684929,
        0.0696259,
        0.0716189,
        0.0704921,
        0.0669541,
        0.0663534,
        0.0658213,
        0.0654448,
        0.0701559,
        0.0694445,
        0.0640418,
        0.0633527,
        0.0631841,
        0.0632531,
        0.0633538,
        0.0634735,
        0.0623358,
        0.0627755,
        0.0639976,
        0.0635619,
        0.0647863,
        0.0677017,
        0.0649861,
        0.0651333,
        0.0650437,
        0.0657583,
        0.0828367,
        0.0872825,
        0.0660634,
        0.0653803,
        0.0661116,
        0.066633,
        0.0663338,
        0.0695601,
        0.0700595,
        0.0687015,
        0.0689948,
        0.0695477,
        0.0721805,
        0.0729316,
        0.0707719,
        0.071277,
        0.0721244,
        0.0777163,
        0.0788886,
        0.0741447,
        0.0745546,
        0.0752074,
        0.0746957,
        0.0743832,
        0.075037,
        0.0759623,
        0.0771985,
        0.0780523,
        0.0789539,
        0.0793069,
        0.0790902,
        0.0794267,
        0.0795181,
        0.0796861,
        0.0812326,
        0.0816484,
        0.0819429,
        0.0829239,
        0.0845507,
        0.0859283,
        0.0860155,
        0.0858522,
        0.0873694,
        0.0878422,
        0.0874942,
        0.087627,
        0.0881632,
        0.0885278,
        0.0890517,
        0.0899088,
        0.0907339,
        0.0927579,
        0.0937418,
        0.09941,
        0.100277,
        0.0951487,
        0.0954354,
        0.10394,
        0.104907,
        0.101005,
        0.10441,
        0.105462,
        0.107338,
        0.110356,
        0.111301,
        0.111617,
        0.123685,
        0.120918,
        0.110224,
        0.111159,
        0.111593,
        0.114157,
        0.122523,
        0.12771,
        0.123464,
        0.122992,
        0.121959,
        0.124023,
        0.135255,
        0.137771,
        0.139761,
        0.129874,
        0.131455,
        0.132171,
        0.13532,
        0.139512,
        0.138799,
        0.141722,
        0.146371,
        0.14539,
        0.146483,
        0.15144,
        0.154833,
        0.157886,
        0.165871,
        0.168532,
        0.16787,
        0.173391,
        0.181839,
        0.183148,
        0.221221,
        0.214681,
        0.198721,
        0.204622,
        0.210266,
        0.209894,
        0.21567,
        0.224408,
        0.236692,
        0.257629,
        0.278324,
        0.300544,
        0.321392,
        0.334614,
        0.321972,
        0.320507,
        0.3299,
        null,
        0.292895,
        0.28385,
        0.249629,
        0.231695,
        0.226487,
        0.224385,
        0.217548,
        0.210333,
        0.206746,
        0.205405,
        0.199572,
        0.194215,
        0.191172,
        0.185837,
        0.182385,
        0.181786,
        0.183668,
        0.18176,
        0.175609,
        0.168323,
        0.165849,
        0.163872,
        0.160266,
        0.157269,
        0.154819,
        0.152708,
        0.151476,
        0.150298,
        0.152569,
        0.154931,
        0.143712,
        0.137747,
        0.137206,
        0.137282,
        0.137229,
        0.135442,
        0.134319,
        0.133676,
        0.131392,
        0.128918,
        0.128178,
        0.127888,
        0.128935,
        0.125792,
        0.122888,
        0.122576,
        0.121999,
        0.119245,
        0.119176,
        0.119732,
        0.117454,
        0.115508,
        0.114059,
        0.115095,
        0.116282,
        0.116771,
        0.117013,
        0.119505,
        0.122132,
        0.123109,
        0.122759,
        0.12034,
        0.117684,
        0.116058,
        0.113699,
        0.109102,
        null,
        0.0542317,
        0.0542158,
        0.053582,
        0.0533923,
        0.0540046,
        0.0538418,
        0.0539766,
        0.0544623,
        0.0543394,
        0.0536708,
        0.0540092,
        0.0545686,
        0.0544723,
        0.0544712,
        0.0552078,
        0.0551112,
        0.0553054,
        0.0556648,
        0.056268,
        0.0558206,
        0.0559531,
        0.055994,
        0.0559742,
        0.0565157,
        0.0570673,
        0.057764,
        0.0586235,
        0.0590621,
        0.0599879,
        0.0655486,
        0.0680353,
        0.0753361,
        0.0787876,
        0.0712024,
        0.0724027,
        0.0720571,
        0.0709878,
        0.0707984,
        0.0712213,
        0.0713616,
        0.0724775,
        0.0751506,
        0.0778941,
        0.0804735,
        0.0831478,
        0.0850663,
        0.0873677,
        0.0876055,
        0.081533,
        0.0793425,
        0.077872,
        0.0767077,
        0.0749752,
        0.0739206,
        0.0734575,
        0.0768979,
        0.0775264,
        0.0736109,
        0.0736943,
        0.0741493,
        0.0743195,
        0.0755207,
        0.0767567,
        0.0764485,
        0.0759506,
        0.0762364,
        0.0770704,
        0.0786269,
        0.0800401,
        0.0808478,
        0.0814278,
        0.0825463,
        0.0842199,
        0.0849593,
        0.0862705,
        0.088299,
        0.0902263,
        0.0915257,
        0.0934662,
        0.0964065,
        0.0994762,
        0.102002,
        0.103376,
        0.107099,
        0.111725,
        0.115186,
        0.119041,
        0.124163,
        0.130147,
        0.136053,
        0.157933,
        0.167066,
        0.176271,
        0.184994,
        0.172731,
        0.179347,
        0.195013,
        0.229961,
        0.241724,
        0.242452,
        0.270721,
        0.291337,
        0.3356,
        0.293001,
        0.264316,
        0.245151,
        0.223924,
        0.206162,
        0.193082,
        0.185655,
        0.177423,
        0.168319,
        0.161627,
        0.154632,
        0.147592,
        0.141917,
        0.137401,
        0.132705,
        0.129011,
        0.125282,
        0.121953,
        0.119095,
        0.122626,
        0.137709,
        0.136749,
        0.116746,
        0.115083,
        0.109918,
        0.106326,
        0.104746,
        0.101632,
        0.0981177,
        0.0957012,
        0.092492,
        0.0897485,
        0.0867757,
        0.0837365,
        0.0811175,
        0.0784445,
        0.0764808,
        0.0742681,
        0.0721194,
        0.070568,
        0.0693258,
        0.0684414,
        0.0673308,
        0.065982,
        0.0646636,
        0.0639024,
        0.0637143,
        0.0638164,
        0.0635254,
        0.0626628,
        0.0620454,
        0.0617792,
        0.0617191,
        0.0622382,
        0.0627712,
        0.0624484,
        0.0627818,
        0.063968,
        0.0656163,
        0.067424,
        0.0697586,
        0.0705234,
        0.0694345,
        0.0665727,
        0.0636031,
        0.0613026,
        0.0597337,
        0.0588821,
        0.0655558,
        0.0650356,
        0.0570105,
        0.0564106,
        0.0554692,
        0.0545014,
        0.0542723,
        0.0546757,
        0.0542766,
        0.05375,
        0.0532361,
        0.0525691,
        0.0524312,
        0.0522217,
        0.0515989,
        0.0511655,
        0.0510242,
        0.0506038,
        0.0502943,
        0.05017,
        0.0499249,
        0.0499086,
        0.0492758,
        0.048848,
        0.0490087,
        0.0490944,
        0.048839,
        0.0484555,
        0.0480265,
        0.04813,
        0.0514806,
        0.0510691,
        0.0470264,
        0.04705,
        0.0469811,
        0.0466554,
        0.0464983,
        0.0464214,
        0.0465407,
        0.0464889,
        0.0464338,
        0.0461539,
        0.0462792,
        0.0464015,
        0.046328,
        0.0460884,
        0.0461054,
        0.0464981,
        0.0463229,
        0.0462984,
        0.046726,
        0.0465108,
        0.0468712,
        0.0481958,
        0.0489569,
        0.0465785,
        0.0470925,
        0.0475081,
        0.0473826,
        0.0477194,
        0.0481006,
        0.0481288,
        0.0491142,
        0.0494608,
        0.0487666,
        0.0491902,
        0.049707,
        0.0499948,
        0.0505109,
        0.0512171,
        0.0520256,
        0.0530392,
        0.0539048,
        0.0554042,
        0.0576435,
        0.0598841,
        0.062256,
        0.0647419,
        0.0683098,
        0.0713753,
        0.0745078,
        0.0766628,
        0.0781367,
        0.077755,
        0.0756052,
        0.0721932,
        0.0684893,
        0.0644822,
        0.0615926,
        0.0584601,
        0.0555527,
        0.0535282,
        0.0523649,
        0.0510275,
        0.0496502,
        0.0484904,
        0.0476355,
        0.0467526,
        0.0461258,
        0.045944,
        0.0457005,
        0.0448066,
        0.0444241,
        0.044082,
        0.0435639,
        0.0433894,
        0.0430774,
        0.0430921,
        0.0427756,
        0.0426097,
        0.0425233,
        0.0425771,
        0.0426328,
        0.0432203,
        0.0429332,
        0.042027,
        0.0423074,
        0.0422769,
        0.0422278,
        0.0423659,
        0.042513,
        0.0426264,
        0.0426953,
        0.0430985,
        0.046195,
        0.0458491,
        0.0423007,
        0.0440313,
        0.0465479,
        0.0460725,
        0.042874,
        0.0424075,
        0.0424205,
        0.0424253,
        0.042488,
        0.0423155,
        0.0424228,
        0.042175,
        0.0422182,
        0.0421506,
        0.0417341,
        0.0416737,
        0.0416632,
        0.0415485,
        0.041152,
        0.0410132,
        0.0406182,
        0.0407534,
        0.0407691,
        0.040642,
        0.0405366,
        0.0407175,
        0.0403436,
        0.040191,
        0.0401596,
        0.0399698,
        0.0423065,
        0.0418126,
        0.0396684,
        0.0397242,
        0.0398606,
        0.039664,
        0.0394989,
        0.0395182,
        0.0393581,
        0.0392933,
        0.0396589,
        0.0397654,
        0.0398975,
        0.0398874,
        0.0402303,
        0.040514,
        0.0405961,
        0.0406057,
        0.040779,
        0.0415612,
        0.0421341,
        0.0424884,
        0.0433347,
        0.0446349,
        0.0466643,
        0.0485957,
        0.0503675,
        0.0514703,
        0.0505523,
        0.0486928,
        0.0468565,
        0.0457402,
        0.0444705,
        0.0437903,
        0.0431613,
        0.042742,
        0.0428186,
        0.0427702,
        0.0421609,
        0.0419679,
        0.0423279,
        0.0440818,
        0.0423219,
        0.041689,
        0.0414525,
        0.0414522,
        0.0415095,
        0.0413547,
        0.0411876,
        0.0414224,
        0.0412045,
        0.0408535,
        0.0410826,
        0.0411131,
        0.040614,
        0.04054,
        0.0404134,
        0.0403193,
        0.040026,
        0.0401492,
        0.0400457,
        0.0398264,
        0.0420213,
        0.0448526,
        0.0425627,
        0.0399048,
        0.0402961,
        0.0401061,
        0.0400625,
        0.0399857,
        0.039864,
        0.0398868,
        0.0400892,
        0.0401645,
        0.0403575,
        0.0399837,
        0.0403663,
        0.040384,
        0.0403343,
        0.042873,
        0.0429099,
        0.0403727,
        0.0405612,
        0.0406413,
        0.0408107,
        0.0410815,
        0.0413587,
        0.0413416,
        0.0411794,
        0.0408064,
        0.0411753,
        0.0419429,
        0.0418688,
        0.0418718,
        0.0424375,
        0.0425072,
        0.0422099,
        0.042743,
        0.0429559,
        0.04271,
        0.0427572,
        0.0433179,
        0.0434397,
        0.0432401,
        0.0432378,
        0.0430981,
        0.0434477,
        0.0438642,
        0.044214,
        0.0434752,
        0.0434551,
        0.0440104,
        0.0444235,
        0.0438592,
        0.0475354,
        0.0449311,
        0.0438383,
        0.0435872,
        0.0431667,
        0.0432054,
        0.0434231,
        0.0436269,
        0.0436413,
        0.0436453,
        0.044039,
        0.044761,
        0.0450534,
        0.0451994,
        0.0456565,
        0.0457781,
        0.0460318,
        0.0467603,
        0.0477517,
        0.0482485,
        0.0487449,
        0.0494305,
        0.050299,
        0.0519684,
        0.0534888,
        0.055068,
        0.0568484,
        0.0582485,
        0.0605608,
        0.0640623,
        0.0676137,
        0.0717707,
        0.0780579,
        0.0850971,
        0.0930437,
        0.103799,
        0.118956,
        0.14018,
        0.169037,
        0.217417,
        0.281196,
        0.30958,
        0.237365,
        0.190861,
        0.155071,
        0.130614,
        0.131375,
        0.114235,
        0.0919054,
        0.0834306,
        0.0770814,
        0.0724215,
        0.0725661,
        0.0702662,
        0.0632952,
        0.0606388,
        0.0585617,
        0.0564552,
        0.0552583,
        0.0544095,
        0.0539229,
        0.052992,
        0.0522069,
        0.0546625,
        0.0534121,
        0.0495945,
        0.0489957,
        0.0484179,
        0.0478983,
        0.04743,
        0.0470531,
        0.0467747,
        0.0465831,
        0.0465221,
        0.0466227,
        0.0497638,
        0.0475252,
        0.0462973,
        0.0459276,
        0.0459361,
        0.0460098,
        0.0462469,
        0.046585,
        0.0468903,
        0.0469469,
        0.0470513,
        0.0480639,
        0.0487694,
        0.0491128,
        0.0506884,
        0.0529529,
        0.0528072,
        0.0545717,
        0.0563206,
        0.0586455,
        0.0637088,
        0.0662433,
        0.0664204,
        0.0665876,
        0.0673451,
        0.0683768,
        0.0655945,
        0.0666579,
        0.0681451,
        0.0706943,
        0.0759076,
        0.0818526,
        0.0908404,
        0.102288,
        0.116774,
        0.134521,
        0.15047,
        0.160271,
        0.160916,
        0.16814,
        0.148252,
        0.12689,
        0.11202,
        0.0899829,
        0.0812215,
        0.074088,
        0.0683549,
        0.0648028,
        0.0620787,
        0.0603867,
        0.0584891,
        0.0568539,
        0.0553125,
        0.0541639,
        0.0541261,
        0.0538231,
        0.0537246,
        0.0531975,
        0.0551814,
        0.0560667,
        0.0544187,
        0.0546377,
        0.0547951,
        0.054855,
        0.0551423,
        0.0549968,
        0.0544595,
        0.061807,
        0.0611107,
        0.0540136,
        0.0540096,
        0.0543712,
        0.0542964,
        0.0545793,
        0.0550258,
        0.054772,
        0.0548412,
        0.0548812,
        0.0553742,
        0.0564663,
        0.0582636,
        0.0606919,
        0.0636724,
        0.0666774,
        0.0691137,
        0.0696245,
        0.0682435,
        0.0666558,
        0.0660443,
        0.0672098,
        0.0695782,
        0.0791481,
        0.0812859,
        0.076532,
        0.0767437,
        0.0739977,
        0.0732468,
        0.0730501,
        0.0730118,
        0.0734075,
        0.0754403,
        0.0774897,
        0.0795795,
        0.0810109,
        0.0827723,
        0.0853774,
        0.0889668,
        0.091996,
        0.0967108,
        0.100606,
        0.107652,
        0.11599,
        0.125687,
        0.136986,
        0.141176,
        0.152462,
        0.167727,
        0.186586,
        0.210235,
        0.245133,
        0.261643,
        0.224111,
        0.19367,
        0.174472,
        0.157252,
        0.147477,
        0.136841,
        0.126989,
        0.121658,
        0.11648,
        0.110767,
        0.105005,
        0.100512,
        0.0994219,
        0.0968601,
        0.0923746,
        0.0905279,
        0.0884186,
        0.0849001,
        0.084382,
        0.0835422,
        0.0898351,
        0.0896618,
        0.0797965,
        0.076795,
        0.077081,
        0.0755823,
        0.0744151,
        0.0740981,
        0.0739368,
        0.0741879,
        0.0737738,
        0.074463,
        0.0741081,
        0.0725963,
        0.0739706,
        0.0749532,
        0.0754394,
        0.0758635,
        0.0773294,
        0.0786818,
        0.0808612,
        0.0836102,
        0.0880683,
        0.0929782,
        0.0964404,
        0.0990637,
        0.101596,
        0.102667,
        0.101406,
        0.100704,
        0.0966544,
        0.0930746,
        0.0910039,
        0.0885586,
        0.0868216,
        0.0858654,
        0.0873887,
        0.0945214,
        0.0924251,
        0.0851064,
        0.0858421,
        0.0874505,
        0.0897457,
        0.0904523,
        0.0907529,
        0.0938046,
        0.098109,
        0.101916,
        0.10714,
        0.110904,
        0.113059,
        0.113847,
        0.124935,
        0.125211,
        0.114963,
        0.116586,
        0.118177,
        0.120243,
        0.122218,
        0.123509,
        0.123401,
        0.124842,
        0.132488,
        0.14175,
        0.145562,
        0.146717,
        0.151331,
        0.158746,
        0.165204,
        0.172789,
        0.180684,
        0.199885,
        0.214469,
        0.212619,
        0.220824,
        0.233197,
        null,
        0.294939,
        0.265139,
        0.242801,
        0.228694,
        0.216669,
        0.204463,
        0.193088,
        0.177593,
        0.16676,
        0.16047,
        0.157545,
        0.152304,
        0.144258,
        0.138629,
        0.133744,
        0.131506,
        0.126377,
        0.121675,
        0.117215,
        0.114077,
        0.113392,
        0.111207,
        0.10536,
        0.102002,
        0.100504,
        0.0995478,
        0.0992668,
        0.0974949,
        0.0944933,
        0.093127,
        0.0920741,
        0.0932624,
        0.0928957,
        0.091259,
        0.0899113,
        0.0889204,
        0.0878239,
        0.0867636,
        0.0837875,
        0.0811006,
        0.0783236,
        0.0781675,
        0.0778295,
        0.0763401,
        0.0749608,
        0.0728295,
        0.0702559,
        0.0688949,
        0.0683289,
        0.067202,
        0.0656194,
        0.0641435,
        0.0744753,
        0.0736682,
        0.0623257,
        0.0615897,
        0.0606533,
        0.0598466,
        0.059758,
        0.0592576,
        0.0587914,
        0.0579311,
        0.0577899,
        0.0579482,
        0.0608873,
        0.060518,
        0.0561036,
        0.0550054,
        0.0551048,
        0.0545297,
        0.0545187,
        0.0542042,
        0.0536901,
        0.0531064,
        0.0527222,
        0.0527629,
        0.0535736,
        0.0532204,
        0.0527836,
        0.0532289,
        0.0532933,
        0.0519775,
        0.0519432,
        0.052009,
        0.0520338,
        0.0522439,
        0.0513646,
        0.0525222,
        0.0524633,
        0.0560173,
        0.0560279,
        0.0536563,
        0.0543593,
        0.0548836,
        0.0563496,
        0.0578937,
        0.0583072,
        0.0589086,
        0.057391,
        0.0556965,
        0.0540077,
        0.0531102,
        0.0518392,
        0.0508007,
        0.0503983,
        0.0504421,
        0.0500993,
        0.0493168,
        0.0491896,
        0.0487167,
        0.0482696,
        0.0485453,
        0.0483039,
        0.0476301,
        0.0477876,
        0.0473609,
        0.0468715,
        0.0467139,
        0.0461226,
        0.046085,
        0.0461266,
        0.0459175,
        0.0453792,
        0.0453255,
        0.0451244,
        0.0451362,
        0.0451432,
        0.0451046,
        0.0494822,
        0.0489122,
        0.0444476,
        0.0445328,
        0.0446201,
        0.0442044,
        0.0441642,
        0.0495141,
        0.0479617,
        0.0443195,
        0.0442349,
        0.0431699,
        0.0431426,
        0.0435364,
        0.0434273,
        0.0433354,
        0.0434757,
        0.0434281,
        0.0437718,
        0.0432506,
        0.0433687,
        0.043752,
        0.0439394,
        0.0437709,
        0.0441205,
        0.0441055,
        0.0442659,
        0.043847,
        0.0435679,
        0.0436139,
        0.0432307,
        0.0435143,
        0.0437856,
        0.0475069,
        0.0503427,
        0.0510176,
        0.0448967,
        0.0443198,
        0.04426,
        0.0443374,
        0.0446028,
        0.0444245,
        0.0440515,
        0.046291,
        0.0462925,
        0.044034,
        0.0440592,
        0.0437728,
        0.0434708,
        0.0431619,
        0.0429852,
        0.042597,
        0.0425299,
        0.0426845,
        0.0425026,
        0.0424752,
        0.0424542,
        0.0431183,
        0.0426667,
        0.0428111,
        0.043316,
        0.0426939,
        0.0417362,
        0.0414434,
        0.0412636,
        0.0414388,
        0.0415878,
        0.0414294,
        0.0414756,
        0.0413999,
        0.0411083,
        0.0408162,
        0.0405696,
        0.0406113,
        0.0409176,
        0.0411412,
        0.0413235,
        0.0408254,
        0.0406842,
        0.0406827,
        0.0410641,
        0.0412994,
        0.0411203,
        0.0412501,
        0.0446631,
        0.0431504,
        0.040936,
        0.0413582,
        0.0412973,
        0.0425703,
        0.0420092,
        0.0414789,
        0.0412254,
        0.0411596,
        0.0412682,
        0.0415387,
        0.0415546,
        0.0415215,
        0.0417749,
        0.0417538,
        0.0424932,
        0.0439164,
        0.0426826,
        0.042688,
        0.0428731,
        0.0424159,
        0.0421457,
        0.0424922,
        0.0422669,
        0.0420877,
        0.0431866,
        0.0431874,
        0.0427152,
        0.0426918,
        0.0426064,
        0.0429118,
        0.0432971,
        0.0434471,
        0.0457169,
        0.0454302,
        0.041963,
        0.0417399,
        0.0416689,
        0.0417553,
        0.0420998,
        0.0424898,
        0.0421592,
        0.0418906,
        0.0416332,
        0.0415555,
        0.0416773,
        0.0415711,
        0.0412374,
        0.0419474,
        0.0419732,
        0.0410833,
        0.0410212,
        0.0411118,
        0.0411607,
        0.0410603,
        0.0409281,
        0.0409148,
        0.0408205,
        0.0411528,
        0.0415316,
        0.0421158,
        0.0416467,
        0.0415509,
        0.0416635,
        0.0418583,
        0.0416232,
        0.0417608,
        0.0414662,
        0.0456074,
        0.0458982,
        0.0421871,
        0.0428275,
        0.0433802,
        0.0428753,
        0.0427313,
        0.0428674,
        0.043694,
        0.0442644,
        0.0443466,
        0.044525,
        0.0448856,
        0.0456262,
        0.0467848,
        0.0479051,
        0.0485635,
        0.0492492,
        0.0498017,
        0.0490314,
        0.0478312,
        0.0464117,
        0.0455089,
        0.0456979,
        0.0452818,
        0.0451172,
        0.0453382,
        0.0459345,
        0.0457631,
        0.0466199,
        0.0468866,
        0.0455982,
        0.0464783,
        0.0466832,
        0.0506625,
        0.0500918,
        0.0444539,
        0.0445108,
        0.0444676,
        0.0448501,
        0.052251,
        0.0492913,
        0.0438744,
        0.0437838,
        0.0434852,
        0.0431426,
        0.0429152,
        0.0424576,
        0.0424181,
        0.0424103,
        0.0422871,
        0.0421845,
        0.0423267,
        0.0432842,
        0.042804,
        0.0420218,
        0.0491437,
        0.0565005,
        0.0472129,
        0.0422975,
        0.0423898,
        0.0419881,
        0.0424271,
        0.0435243,
        0.0434815,
        0.0429257,
        0.0438359,
        0.0454321,
        0.0442883,
        0.0423646,
        0.0444338,
        0.0440523,
        0.043006,
        0.043086,
        0.043499,
        0.0434864,
        0.0438587,
        0.0444218,
        0.0443019,
        0.0439486,
        0.0444216,
        0.0444612,
        0.0445733,
        0.0449805,
        0.0449991,
        0.0445152,
        0.048557,
        0.0472568,
        0.0449241,
        0.0463896,
        0.0465157,
        0.0453469,
        0.0471808,
        0.046121,
        0.044569,
        0.0446482,
        0.0447212,
        0.0445582,
        0.0446502,
        0.0491689,
        0.0490665,
        0.0476506,
        0.0474578,
        0.0442457,
        0.0456509,
        0.0458881,
        0.044807,
        0.0448568,
        0.0455547,
        0.0450425,
        0.0443929,
        0.0446736,
        0.0448528,
        0.0448979,
        0.047668,
        0.0475758,
        0.0448981,
        0.045164,
        0.045559,
        0.0455417,
        0.0461033,
        0.045861,
        0.045919,
        0.0457861,
        0.0453672,
        0.045946,
        0.0467584,
        0.0473935,
        0.0478966,
        0.0482657,
        0.0480445,
        0.0478409,
        0.0482352,
        0.0489495,
        0.0493745,
        0.0497098,
        0.0498486,
        0.0517122,
        0.0521658,
        0.050698,
        0.0519134,
        0.0588096,
        0.0595657,
        0.0549618,
        0.0561938,
        0.0598178,
        0.0597121,
        0.0603573,
        0.0614975,
        0.061761,
        0.0639943,
        0.0672546,
        0.0703402,
        0.0732979,
        0.0775813,
        0.0824957,
        0.0886163,
        0.0935763,
        0.100906,
        0.110002,
        0.127296,
        0.146715,
        0.168989,
        0.192341,
        0.216258,
        0.246185,
        0.276224,
        0.289569,
        0.258036,
        0.224603,
        0.20018,
        0.175836,
        0.165046,
        0.143499,
        0.118536,
        0.107884,
        0.0978251,
        0.0950941,
        0.0939313,
        0.0817882,
        0.0741661,
        0.0704038,
        0.0680941,
        0.0657459,
        0.0646189,
        0.0735357,
        0.0705427,
        0.0592475,
        0.0588996,
        0.0610455,
        0.0575079,
        0.0552605,
        0.0546479,
        0.0539327,
        0.0533867,
        0.0532961,
        0.0533389,
        0.0537132,
        0.0524968,
        0.051698,
        0.0512398,
        0.0520409,
        0.0523259,
        0.0514753,
        0.0513407,
        0.0514956,
        0.051401,
        0.0513795,
        0.0549294,
        0.0544831,
        0.0514082,
        0.0572178,
        0.062624,
        0.0558994,
        0.0553297,
        0.0567721,
        0.0532977,
        0.0530278,
        0.0532015,
        0.0543206,
        0.0547875,
        0.0552618,
        0.0553415,
        0.0550326,
        0.0538471,
        0.0533776,
        0.0535696,
        0.0540352,
        0.0533585,
        0.052405,
        0.0517947,
        0.0513131,
        0.0513337,
        0.0515725,
        0.0519386,
        0.0559838,
        0.0550987,
        0.0506801,
        0.050686,
        0.0512548,
        0.0516562,
        0.0511909,
        0.0509265,
        0.0503773,
        0.0508629,
        0.0512528,
        0.0505,
        0.0508967,
        0.050915,
        0.0513297,
        0.052099,
        0.0552485,
        0.0535068,
        0.0554828,
        0.0544094,
        0.0523158,
        0.0520981,
        0.0521424,
        0.053154,
        0.0532401,
        0.0525934,
        0.0527864,
        0.0527171,
        0.053173,
        0.0536643,
        0.0535552,
        0.0545274,
        0.0547297,
        0.0550408,
        0.056029,
        0.0554999,
        0.0547041,
        0.0545927,
        0.0544751,
        0.0546282,
        0.0549095,
        0.0552643,
        0.0555522,
        0.0567286,
        0.0586653,
        0.0616012,
        0.0645253,
        0.0662702,
        0.0700039,
        0.0715565,
        0.0756261,
        0.0731451,
        0.0675312,
        0.0688239,
        0.0687819,
        0.0685629,
        0.070047,
        0.0726987,
        0.076151,
        0.0797166,
        0.0841597,
        0.088226,
        0.107139,
        0.108451,
        0.0935186,
        0.0917315,
        0.0972181,
        0.093399,
        0.0813646,
        0.0785584,
        0.0748662,
        0.0717125,
        0.0693909,
        0.0686223,
        0.0672233,
        0.0645825,
        0.0634538,
        0.0618482,
        0.0608859,
        0.0607331,
        0.0672492,
        0.067592,
        0.0590333,
        0.0636714,
        0.064176,
        0.0570011,
        0.0574955,
        0.0567867,
        0.0567059,
        0.0568158,
        0.0564454,
        0.0561991,
        0.0560018,
        0.0562712,
        0.0566678,
        0.0565925,
        0.0564899,
        0.0641242,
        0.0649854,
        0.0573413,
        0.0578252,
        0.0575887,
        0.0582664,
        0.0585144,
        0.0575775,
        0.0580402,
        0.0666194,
        0.0647356,
        0.0589574,
        0.0588952,
        0.0582998,
        0.0582639,
        0.0581546,
        0.058058,
        0.0583591,
        0.0585628,
        0.0587561,
        0.0595901,
        0.060738,
        0.0609795,
        0.0600672,
        0.0603266,
        0.0606771,
        0.060988,
        0.0619831,
        0.0629206,
        0.0626366,
        0.0732195,
        0.0724965,
        0.0620613,
        0.0626551,
        0.0637954,
        0.0651908,
        0.0656545,
        0.0651322,
        0.0656297,
        0.0673811,
        0.0679612,
        0.0679332,
        0.068857,
        0.0698772,
        0.0712259,
        0.0732556,
        0.0757045,
        0.0767899,
        0.078202,
        0.0802189,
        0.0829724,
        0.0866677,
        0.0895704,
        0.0985639,
        0.100456,
        0.0951014,
        0.0971455,
        0.0980608,
        0.0997233,
        0.100875,
        0.102332,
        0.107611,
        0.111722,
        0.116164,
        0.123844,
        0.133718,
        0.146987,
        0.170201,
        0.18895,
        0.211693,
        0.261927,
        0.306745,
        0.387255,
        0.307896,
        0.254776,
        0.208679,
        0.18247,
        0.165701,
        0.150682,
        0.139505,
        0.125486,
        0.116008,
        0.11013,
        0.106032,
        0.103695,
        0.0995578,
        0.0959174,
        0.0957518,
        0.0936607,
        0.0887729,
        0.0856917,
        0.0835088,
        0.0827041,
        0.0809299,
        0.0790964,
        0.077075,
        0.0756247,
        0.0767967,
        0.0775088,
        0.0739177,
        0.0724972,
        0.07173,
        0.0707377,
        0.0705261,
        0.0707007,
        0.070016,
        0.0696022,
        0.0685507,
        0.0690223,
        0.0689576,
        0.0670929,
        0.0667042,
        0.0667653,
        0.0662142,
        0.0657585,
        0.065609,
        0.0661369,
        0.0658468,
        0.0653799,
        0.0655285,
        0.065972,
        0.0656094,
        0.0647494,
        0.0638382,
        0.0630995,
        0.0638736,
        0.0635098,
        0.0645908,
        0.0658917,
        0.0652347,
        0.0650727,
        0.0640498,
        0.0652274,
        0.0656651,
        0.0644239,
        0.0639872,
        0.0639615,
        0.0659679,
        0.0761202,
        0.0741491,
        0.0649755,
        0.0635055,
        0.0638172,
        0.0646352,
        0.0651864,
        0.0650288,
        0.0658913,
        0.0688786,
        0.0680104,
        0.0657996,
        0.0657792,
        0.065847,
        0.0665814,
        0.0664583,
        0.0688331,
        0.06942,
        0.0673351,
        0.0688098,
        0.0789727,
        0.0743848,
        0.0674558,
        0.0669913,
        0.0669416,
        0.0674784,
        0.0681066,
        0.0684445,
        0.0684391,
        0.0677581,
        0.0673372,
        0.067714,
        0.0692199,
        0.0685376,
        0.067343,
        0.0672694,
        0.0675589,
        0.067554,
        0.0672893,
        0.0673336,
        0.0675063,
        0.0675,
        0.0677225,
        0.0675952,
        0.0674217,
        0.06769,
        0.0687814,
        0.0675199,
        0.0673262,
        0.0678374,
        0.0679402,
        0.066979,
        0.0674378,
        0.0686411,
        0.0680865,
        0.0676457,
        0.067295,
        0.0680859,
        0.0692942,
        0.0684449,
        0.068043,
        0.0683823,
        0.0686288,
        0.0682482,
        0.0687848,
        0.0698115,
        0.0700013,
        0.06966,
        0.0701317,
        0.070028,
        0.0742835,
        0.07481,
        0.0713534,
        0.0706389,
        0.0709524,
        0.0715774,
        0.0709889,
        0.071781,
        0.0725854,
        0.0731532,
        0.0738903,
        0.074094,
        0.0750172,
        0.0742495,
        0.0738035,
        0.0741625,
        0.0743108,
        0.0749317,
        0.0761921,
        0.0767462,
        0.0769079,
        0.0769976,
        0.0772523,
        0.0776931,
        0.0787635,
        0.0795108,
        0.0783118,
        0.079226,
        0.0798294,
        0.078786,
        0.0792338,
        0.079928,
        0.0799391,
        0.0807061,
        0.090148,
        0.0917778,
        0.08272,
        0.0814824,
        0.0806028,
        0.0804478,
        0.0815059,
        0.0812791,
        0.0798086,
        0.0805949,
        0.0808658,
        0.080292,
        0.0800984,
        0.0814383,
        0.082882,
        0.0828461,
        0.0879299,
        0.0899812,
        0.0830536,
        0.0812811,
        0.0807702,
        0.082091,
        0.0834307,
        0.0837404,
        0.0831446,
        0.0837915,
        0.0843417,
        0.0833563,
        0.083445,
        0.0846808,
        0.0862688,
        0.0862804,
        0.0863622,
        0.0881982,
        0.0883052,
        0.0886269,
        0.099947,
        0.101583,
        0.0896329,
        0.0893313,
        0.0906116,
        0.0928738,
        0.0924605,
        0.0933603,
        0.0934514,
        0.0939744,
        0.0943162,
        0.0953524,
        0.0979522,
        0.0995481,
        0.105892,
        0.105754,
        0.100177,
        0.100055,
        0.100659,
        0.105893,
        0.108029,
        0.10504,
        0.105105,
        0.104712,
        0.105989,
        0.109098,
        0.110311,
        0.109968,
        0.110293,
        0.108746,
        0.107897,
        0.109846,
        0.11192,
        0.114166,
        0.115462,
        0.116124,
        0.115166,
        0.118078,
        0.115362,
        0.114993,
        0.117062,
        0.118846,
        0.119289,
        0.119726,
        0.120617,
        0.121965,
        0.122019,
        0.123105,
        0.124771,
        0.126354,
        0.1252,
        0.126195,
        0.128044,
        0.130244,
        0.131669,
        0.131289,
        0.131456,
        0.132256,
        0.133785,
        0.139609,
        0.143721,
        0.139065,
        0.141345,
        0.143576,
        0.143463,
        0.146534,
        0.150032,
        0.151085,
        0.154949,
        0.161465,
        0.162821,
        0.165431,
        0.174179,
        0.180488,
        0.173794,
        0.176245,
        0.177151,
        0.18159,
        0.187604,
        0.218019,
        0.220104,
        0.199138,
        0.202115,
        0.206223,
        0.20556,
        0.210279,
        0.214774,
        0.24481,
        0.252669,
        0.233462,
        0.24166,
        0.250629,
        0.256349,
        0.26115,
        0.29558,
        null,
        0.300911,
        0.29167,
        0.28462,
        0.281639,
        0.257798,
        0.254814,
        0.249395,
        0.238876,
        0.234028,
        0.228599,
        0.225484,
        0.220938,
        0.21572,
        0.212739,
        0.214855,
        0.211732,
        0.204933,
        0.201808,
        0.199386,
        0.19359,
        0.193439,
        0.193536,
        0.191624,
        0.1843,
        0.182256,
        0.180143,
        0.177413,
        0.174155,
        0.170389,
        0.166451,
        0.163752,
        0.161031,
        0.157797,
        0.155482,
        0.156223,
        0.156418,
        0.154364,
        0.150817,
        0.146993,
        0.14283,
        0.138602,
        0.141855,
        0.141859,
        0.140844,
        0.140277,
        0.139445,
        0.13857,
        0.137224,
        0.137304,
        0.137007,
        0.136124,
        0.134938,
        0.133606,
        0.133707,
        0.132937,
        0.129381,
        0.128155,
        0.12818,
        0.126673,
        0.125572,
        0.127729,
        0.128407,
        0.12693,
        0.126109,
        0.128138,
        0.126674,
        0.124589,
        0.122109,
        0.121012,
        0.119665,
        0.118648,
        0.119569,
        0.119509,
        0.12277,
        0.126232,
        0.117696,
        0.114599,
        0.113393,
        0.114505,
        0.115493,
        0.114593,
        0.113703,
        0.112644,
        0.109231,
        0.110739,
        0.111769,
        0.112473,
        0.112943,
        0.11367,
        0.113345,
        0.122856,
        0.119623,
        0.121369,
        0.125222,
        0.130661,
        0.140751,
        0.154806,
        0.175953,
        0.212802,
        0.264206,
        0.30816,
        0.223688,
        0.181436,
        0.153603,
        0.13582,
        0.123657,
        0.114853,
        0.110946,
        0.106573,
        0.10302,
        0.101207,
        0.0981404,
        0.0959579,
        0.0963912,
        0.0954823,
        0.0931733,
        0.0923885,
        0.0924458,
        0.0910013,
        0.0898353,
        0.0891657,
        0.0895451,
        0.0887642,
        0.0894309,
        0.0899129,
        0.0898464,
        0.0888987,
        0.0862281,
        0.0855481,
        0.0857805,
        0.0865087,
        0.0887857,
        0.0879198,
        0.0842139,
        0.083615,
        0.0832921,
        0.0836156,
        0.0833241,
        0.0821357,
        0.082025,
        0.0820449,
        0.0808145,
        0.0802192,
        0.0797406,
        0.0796172,
        0.0790926,
        0.0787712,
        0.078692,
        0.0782425,
        0.0781523,
        0.0775024,
        0.0773998,
        0.0775851,
        0.0762687,
        0.0750004,
        0.0738639,
        0.0740028,
        0.0741728,
        0.0746644,
        0.0747861,
        0.0738773,
        0.0730906,
        0.073336,
        0.0740358,
        0.0735141,
        0.0723843,
        0.0728316,
        0.0737787,
        0.0730087,
        0.0730539,
        0.0741328,
        0.074738,
        0.0741224,
        0.0741864,
        0.0741744,
        0.0741625,
        0.0743067,
        0.0741329,
        0.074445,
        0.0750184,
        0.0766388,
        0.0779143,
        0.0797045,
        0.0811451,
        0.0811727,
        0.0804904,
        0.0785464,
        0.0768096,
        0.0757141,
        0.0743476,
        0.073504,
        0.0734164,
        0.0742295,
        0.0731732,
        0.0720843,
        0.0724578,
        0.0728992,
        0.074498,
        0.0734805,
        0.0721667,
        0.0712412,
        0.0716572,
        0.0730828,
        0.0736448,
        0.0729377,
        0.0737347,
        0.0731755,
        0.0726081,
        0.0721116,
        0.0716381,
        0.0717561,
        0.0732171,
        0.0735051,
        0.0727221,
        0.072802,
        0.0743037,
        0.0744143,
        0.0754576,
        0.0767069,
        0.0780795,
        0.0813596,
        0.0839937,
        0.0877338,
        0.0917016,
        0.0964622,
        0.102887,
        0.111608,
        0.123303,
        0.13922,
        0.152944,
        0.167217,
        0.180085,
        0.186696,
        0.191046,
        0.181529,
        0.163982,
        0.147219,
        0.131004,
        0.117724,
        0.116524,
        0.105854,
        0.0933649,
        0.0896234,
        0.0857922,
        0.0832444,
        0.08024,
        0.0773159,
        0.0762648,
        0.0763078,
        0.0745597,
        0.0715787,
        0.0716394,
        0.0697024,
        0.0694552,
        0.0696687,
        0.0695404,
        0.0685984,
        0.0678291,
        0.0678835,
        0.0676613,
        0.0667378,
        0.0667524,
        0.067604,
        0.0672344,
        0.0670261,
        0.0663381,
        0.0659622,
        0.0665822,
        0.066272,
        0.0662047,
        0.0662491,
        0.0666058,
        0.0667142,
        0.0680276,
        0.068341,
        0.0688701,
        0.0699607,
        0.0724515,
        0.0741969,
        0.0763922,
        0.0781755,
        0.0802432,
        0.0821956,
        0.0820313,
        0.0821558,
        0.0815175,
        0.0787812,
        0.0759968,
        0.0735529,
        0.0701398,
        0.0685449,
        0.0669764,
        0.0647678,
        0.063567,
        0.0624764,
        0.0621556,
        0.0610369,
        0.0603055,
        0.0593805,
        0.0588753,
        0.058659,
        0.0590229,
        0.0590561,
        0.058822,
        0.058556,
        0.0588115,
        0.0584583,
        0.0580092,
        0.0574954,
        0.0574644,
        0.0578222,
        0.0579956,
        0.0584396,
        0.058908,
        0.0581675,
        0.0580581,
        0.057778,
        0.0580966,
        0.0580894,
        0.058155,
        0.0578581,
        0.0570834,
        0.0571814,
        0.0576274,
        0.058055,
        0.057993,
        0.0569617,
        0.0572635,
        0.0574207,
        0.0560274,
        0.0555572,
        0.0554963,
        0.0550087,
        0.0552274,
        0.0554016,
        0.0553143,
        0.0555098,
        0.0555336,
        0.0549726,
        0.0549682,
        0.0545798,
        0.0542381,
        0.0542321,
        0.0544594,
        0.0540772,
        0.0545167,
        0.0547035,
        0.054294,
        0.0546882,
        0.0545469,
        0.0548662,
        0.0551445,
        0.0553546,
        0.0552375,
        0.05524,
        0.0556265,
        0.055391,
        0.0555662,
        0.0587726,
        0.0576855,
        0.059911,
        0.0629656,
        0.0592458,
        0.0602817,
        0.061086,
        0.0633706,
        0.0667276,
        0.0703586,
        0.0758958,
        0.0867063,
        0.105472,
        0.137288,
        0.182641,
        0.242409,
        0.286653,
        0.216734,
        0.160351,
        0.122452,
        0.0987966,
        0.0876313,
        0.0775068,
        0.0706764,
        0.0672282,
        0.0645906,
        0.0627731,
        0.061145,
        0.0601366,
        0.0598905,
        0.0592177,
        0.0584065,
        0.0583702,
        0.0582267,
        0.0575675,
        0.0570014,
        0.0571485,
        0.0585772,
        0.0580383,
        0.0561802,
        0.0563567,
        0.0554375,
        0.0557461,
        0.0555576,
        0.0550712,
        0.054934,
        0.0586044,
        0.0564223,
        0.0546099,
        0.0542607,
        0.0543144,
        0.0540975,
        0.053894,
        0.0540598,
        0.0542935,
        0.0542707,
        0.0599679,
        0.0600481,
        0.053793,
        0.0537492,
        0.0543662,
        0.0540742,
        0.0537695,
        0.0561655,
        0.0549341,
        0.0544582,
        0.0545245,
        0.0545484,
        0.0543806,
        0.054631,
        0.0552606,
        0.0553906,
        0.0554017,
        0.055976,
        0.0562465,
        0.0564906,
        0.0569942,
        0.0570722,
        0.0578666,
        0.0578223,
        0.0580483,
        0.0587141,
        0.0594135,
        0.0596142,
        0.0604456,
        0.0614405,
        0.0622642,
        0.0633504,
        0.0645352,
        0.067387,
        0.0693778,
        0.0729447,
        0.0772407,
        0.0794811,
        0.0825563,
        0.0867308,
        0.0932964,
        0.100629,
        0.107613,
        0.114846,
        0.120656,
        0.126789,
        0.131413,
        0.135202,
        0.13563,
        0.134782,
        0.131341,
        0.128404,
        0.124093,
        0.117641,
        0.109668,
        0.103006,
        0.0962203,
        0.0904009,
        0.0855061,
        0.0820652,
        0.0786605,
        0.0760494,
        0.0740728,
        0.0722724,
        0.0728739,
        0.0718755,
        0.0715972,
        0.0736983,
        0.076812,
        0.081146,
        0.0866681,
        0.0894367,
        0.0937516,
        0.0968951,
        0.0973055,
        0.0960387,
        0.0923494,
        0.0878072,
        0.0817712,
        0.0743053,
        0.0700001,
        0.0668958,
        0.0646099,
        0.0628883,
        0.0609198,
        0.05937,
        0.0586831,
        0.0577748,
        0.0571469,
        0.056646,
        0.0563133,
        0.0558458,
        0.0560186,
        0.0554345,
        0.0554987,
        0.0544724,
        0.0540842,
        0.0634736,
        0.0635159,
        0.0549299,
        0.0547687,
        0.053856,
        0.0539755,
        0.0539268,
        0.0539972,
        0.0534247,
        0.0535736,
        0.0533452,
        0.0530132,
        0.0531489,
        0.0536068,
        0.0605204,
        0.0599369,
        0.0531537,
        0.0531875,
        0.0537961,
        0.0544552,
        0.0535674,
        0.0532653,
        0.053344,
        0.0531214,
        0.0565491,
        0.0558515,
        0.051064,
        0.0501728,
        0.0504402,
        0.0503641,
        0.0501416,
        0.0501877,
        0.0503005,
        0.0498735,
        0.0500224,
        0.0500727,
        0.0497032,
        0.0546009,
        0.0549463,
        0.0503981,
        0.0508008,
        0.0507331,
        0.0501908,
        0.050588,
        0.0516539,
        0.0518539,
        0.0521861,
        0.0530946,
        0.0542269,
        0.0563291,
        0.0582444,
        0.0642473,
        0.0659086,
        0.0623382,
        0.0619467,
        0.0596473,
        0.0576446,
        0.0567569,
        0.0560161,
        0.0550584,
        0.0543782,
        0.0539561,
        0.0531326,
        0.052387,
        0.05228,
        0.0527054,
        0.052009,
        0.0524195,
        0.054341,
        0.0528679,
        0.0522649,
        0.0526677,
        0.0521877,
        0.0522566,
        0.0521336,
        0.0522642,
        0.0520931,
        0.0513027,
        0.0511328,
        0.0510141,
        0.0506825,
        0.0508203,
        0.0508981,
        0.0505741,
        0.050782,
        0.0510226,
        0.0512027,
        0.0510691,
        0.0507705,
        0.0504933,
        0.0509265,
        0.0511036,
        0.0509532,
        0.0508104,
        0.0510791,
        0.0506681,
        0.0499764,
        0.0497213,
        0.0492078,
        0.0490004,
        0.0493874,
        0.0490846,
        0.0486766,
        0.0483134,
        0.0486295,
        0.04912,
        0.0484535,
        0.0485954,
        0.0485558,
        0.0483267,
        0.0485563,
        0.0488581,
        0.0492777,
        0.0497399,
        0.0500907,
        0.0505512,
        0.0558967,
        0.0537446,
        0.0517732,
        0.0552077,
        0.0559412,
        0.0521364,
        0.0526515,
        0.0527071,
        0.0528868,
        0.0533803,
        0.0552698,
        0.0530428,
        0.054546,
        0.053665,
        0.0513425,
        0.0519964,
        0.0520157,
        0.0518676,
        0.0526623,
        0.0517761,
        0.0512962,
        0.0561295,
        0.0538189,
        0.0521539,
        0.0520138,
        0.0523237,
        0.0522738,
        0.0519257,
        0.0517787,
        0.0514468,
        0.0519829,
        0.0518246,
        0.0510219,
        0.0510254,
        0.0509168,
        0.0513131,
        0.0514941,
        0.0514767,
        0.0517211,
        0.0520503,
        0.0521372,
        0.0523537,
        0.0525594,
        0.0519687,
        0.0512676,
        0.0506711,
        0.0506083,
        0.0505772,
        0.0500055,
        0.049868,
        0.0500675,
        0.0501474,
        0.0499589,
        0.0496897,
        0.0495156,
        0.0495356,
        0.0499169,
        0.0508009,
        0.0516278,
        0.0508221,
        0.0515508,
        0.0527319,
        0.0545041,
        0.0571288,
        0.0611679,
        0.0676205,
        0.0778953,
        0.0914421,
        0.103186,
        0.109234,
        0.103937,
        0.0924316,
        0.0804628,
        0.0725545,
        0.0668483,
        0.0720351,
        0.0687209,
        0.0575794,
        0.0565186,
        0.0545072,
        0.0537408,
        0.0537037,
        0.0534439,
        0.0532057,
        0.0529795,
        0.0530404,
        0.0534753,
        0.0532625,
        0.0526302,
        0.0527637,
        0.0524917,
        0.0526102,
        0.0522998,
        0.0522591,
        0.0520587,
        0.0524869,
        0.0538233,
        0.0543698,
        0.0545626,
        0.0558432,
        0.0574825,
        0.0580542,
        0.0580555,
        0.0568266,
        0.0566008,
        0.0553757,
        0.0551592,
        0.0545467,
        0.0534538,
        0.052149,
        0.0520804,
        0.0524823,
        0.0517293,
        0.0512866,
        0.0511408,
        0.0532658,
        0.0535396,
        0.0522805,
        0.0520547,
        0.0522692,
        0.0524822,
        0.0531667,
        0.0543059,
        0.0596643,
        0.060495,
        0.0560924,
        0.0572958,
        0.0598724,
        0.0620607,
        0.0735607,
        0.0789392,
        0.0736649,
        0.072535,
        0.0700658,
        0.0749602,
        0.0679938,
        0.0602836,
        0.0592103,
        0.0579345,
        0.0568472,
        0.0567125,
        0.0566427,
        0.0555393,
        0.055461,
        0.0558301,
        0.0561897,
        0.0557676,
        0.0552123,
        0.0547965,
        0.055659,
        0.0557897,
        0.0567083,
        0.0575502,
        0.058606,
        0.0597184,
        0.0615149,
        0.063266,
        0.0659843,
        0.0669961,
        0.0664633,
        0.0660308,
        0.0638547,
        0.0617931,
        0.0596298,
        0.0585432,
        0.058199,
        0.0572691,
        0.0570061,
        0.0559787,
        0.0553356,
        0.0605887,
        0.0606318,
        0.0555769,
        0.0593839,
        0.0606366,
        0.0559802,
        0.055613,
        0.0560308,
        0.0568223,
        0.0575383,
        0.0589256,
        0.060616,
        0.0628093,
        0.065708,
        0.0686868,
        0.0713891,
        0.0703365,
        0.0675971,
        0.0657019,
        0.063281,
        0.0608549,
        0.0594671,
        0.0588339,
        0.0581299,
        0.0577427,
        0.0572241,
        0.0568151,
        0.0575163,
        0.0578822,
        0.0580096,
        0.0587173,
        0.0585951,
        0.0595923,
        0.0613315,
        0.0621527,
        0.0638191,
        0.0666382,
        0.0771697,
        0.0806813,
        0.0784957,
        0.0822994,
        0.0825815,
        0.08698,
        0.0825882,
        0.0805832,
        0.0781143,
        0.0677342,
        0.0658735,
        0.0651926,
        0.0646097,
        0.0653223,
        0.0638664,
        0.0644625,
        0.0657504,
        0.0651165,
        0.0656671,
        0.0662772,
        0.0673079,
        0.0689668,
        0.0708495,
        0.0739376,
        0.082268,
        0.0874413,
        0.0903369,
        0.0946096,
        0.0943837,
        0.0900546,
        0.0837009,
        0.0793308,
        0.0760416,
        0.0729844,
        0.0714757,
        0.0704397,
        0.0696807,
        0.0690469,
        0.0694967,
        0.0689709,
        0.0706909,
        0.0718213,
        0.0724351,
        0.0741662,
        0.0761012,
        0.0793444,
        0.0859145,
        0.0921425,
        0.0985013,
        0.107201,
        0.112795,
        0.126948,
        0.120898,
        0.0993369,
        0.0932028,
        0.0894847,
        0.0878334,
        0.0863462,
        0.0853291,
        0.0851792,
        0.0854383,
        0.0863097,
        0.0873564,
        0.0892724,
        0.0930592,
        0.096146,
        0.100286,
        0.106901,
        0.117175,
        0.129613,
        0.145865,
        0.156505,
        0.158376,
        0.151974,
        0.143808,
        0.137042,
        0.131695,
        0.125995,
        0.122531,
        0.123358,
        0.125733,
        0.127439,
        0.129277,
        0.134111,
        0.141821,
        0.150101,
        0.159293,
        0.170444,
        0.18591,
        0.216553,
        0.249768,
        0.279503,
        0.287301,
        0.277437,
        0.277314,
        0.238912,
        0.237447,
        0.234863,
        0.236782,
        0.254093,
        0.295441,
        0.329251,
        null,
        0.321177,
        0.245899,
        0.219081,
        0.188223,
        0.162522,
        0.148237,
        0.143153,
        0.143837,
        0.146228,
        0.149948,
        0.160511,
        0.173456,
        0.184602,
        0.196819,
        0.194737,
        0.181687,
        0.165382,
        0.150358,
        0.134662,
        0.122296,
        0.112449,
        0.106553,
        0.101798,
        0.0962956,
        0.0926652,
        0.0903521,
        0.0886021,
        0.087888,
        0.0873401,
        0.0868937,
        0.0866472,
        0.0864656,
        0.0869091,
        0.089948,
        0.0934664,
        0.0998411,
        0.104008,
        0.106449,
        0.111477,
        0.122764,
        0.134776,
        0.155871,
        0.180494,
        0.208377,
        0.25176,
        0.304582,
        0.320751,
        0.248062,
        0.200923,
        0.169675,
        0.151495,
        0.135538,
        0.12027,
        0.112554,
        0.106331,
        0.0987385,
        0.0923692,
        0.0883785,
        0.0838423,
        0.0823943,
        0.0799717,
        0.0766182,
        0.0751731,
        0.0745068,
        0.0727372,
        0.0724987,
        0.0783931,
        0.0759354,
        0.0686482,
        0.0674664,
        0.0661729,
        0.0652477,
        0.0649526,
        0.0644163,
        0.0641492,
        0.0636316,
        0.0632221,
        0.0629523,
        0.0620185,
        0.0617199,
        0.0618893,
        0.0618826,
        0.0610991,
        0.0604506,
        0.0594137,
        0.0590266,
        0.0590228,
        0.0593601,
        0.0593601,
        0.0586347,
        0.0587072,
        0.0589009,
        0.058752,
        0.058263,
        0.0575628,
        0.0578117,
        0.058064,
        0.0580774,
        0.0579077,
        0.05741,
        0.0571028,
        0.0568435,
        0.0566578,
        0.0569494,
        0.0571353,
        0.0576302,
        0.0575124,
        0.0581028,
        0.0576808,
        0.0579509,
        0.0582756,
        0.058131,
        0.0582581,
        0.0575658,
        0.0574013,
        0.0641865,
        0.0642861,
        0.0613817,
        0.0618174,
        0.0576392,
        0.0575777,
        0.0573151,
        0.0575586,
        0.057918,
        0.058041,
        0.0577404,
        0.0582191,
        0.0582156,
        0.0575766,
        0.0577761,
        0.0583866,
        0.058172,
        0.0580394,
        0.0581284,
        0.0581723,
        0.0579034,
        0.0575686,
        0.0569321,
        0.0571141,
        0.0577095,
        0.0583257,
        0.0616992,
        0.0644499,
        0.0564717,
        0.0562797,
        0.0561458,
        0.0559361,
        0.0568165,
        0.0581314,
        0.057039,
        0.0564601,
        0.0595102,
        0.0618314,
        0.0548365,
        0.0550147,
        0.0553848,
        0.0554384,
        0.0552638,
        0.0553323,
        0.0652085,
        0.0634338,
        0.0576495,
        0.0561664,
        0.0551234,
        0.0547499,
        0.0576386,
        0.0590808,
        0.0560515,
        0.0549402,
        0.0544905,
        0.0548115,
        0.0574708,
        0.0590707,
        0.0637112,
        0.0628745,
        0.0559079,
        0.055466,
        0.0560448,
        0.0562301,
        0.0565512,
        0.0568864,
        0.0571316,
        0.0638136,
        0.0625064,
        0.0571602,
        0.0579872,
        0.0579179,
        0.0586316,
        0.058459,
        0.0583154,
        0.0598691,
        0.0598983,
        0.060161,
        0.0602848,
        0.0611721,
        0.0630478,
        0.063599,
        0.0634457,
        0.0638566,
        0.0641875,
        0.0640085,
        0.0635706,
        0.0628323,
        0.0620732,
        0.0612766,
        0.060944,
        0.0606657,
        0.0615891,
        0.062662,
        0.0602386,
        0.06008,
        0.0596174,
        0.059706,
        0.059717,
        0.0602029,
        0.0604472,
        0.0603092,
        0.0608908,
        0.0608501,
        0.0613603,
        0.0618823,
        0.0622239,
        0.0629164,
        0.0632258,
        0.065252,
        0.0668496,
        0.0661362,
        0.0646299,
        0.063578,
        0.063025,
        0.0619733,
        0.0608441,
        0.0602839,
        0.0601363,
        0.0604086,
        0.0598466,
        0.0587877,
        0.059085,
        0.0626912,
        0.0614662,
        0.0580155,
        0.05848,
        0.0587564,
        0.0589407,
        0.059036,
        0.0593653,
        0.0588659,
        0.0589109,
        0.0591747,
        0.0585311,
        0.0576501,
        0.0579043,
        0.0585264,
        0.0580945,
        0.058368,
        0.0580923,
        0.060448,
        0.0615307,
        0.0592493,
        0.0594224,
        0.0591879,
        0.0602498,
        0.0603156,
        0.0604367,
        0.0597458,
        0.0594518,
        0.0600092,
        0.0607087,
        0.0608227,
        0.0596814,
        0.0596729,
        0.0597196,
        0.059794,
        0.0597837,
        0.0597641,
        0.0603555,
        0.0696822,
        0.0693755,
        0.0594515,
        0.0596079,
        0.060005,
        0.059755,
        0.0594395,
        0.0595842,
        0.0607951,
        0.0596874,
        0.0591395,
        0.0587626,
        0.0589098,
        0.0593656,
        0.0590578,
        0.0583129,
        0.0587711,
        0.0583842,
        0.0585234,
        0.0588622,
        0.0593448,
        0.0587368,
        0.0581982,
        0.0580645,
        0.0594352,
        0.0589689,
        0.0579739,
        0.0578442,
        0.0574645,
        0.0571549,
        0.0574113,
        0.0578153,
        0.0584164,
        0.0579668,
        0.0575587,
        0.0575209,
        0.057591,
        0.057996,
        0.058273,
        0.0581585,
        0.060645,
        0.063914,
        0.0636049,
        0.0588462,
        0.0591971,
        0.0603658,
        0.0606798,
        0.0590618,
        0.0595303,
        0.0600256,
        0.0635066,
        0.0647357,
        0.0605219,
        0.0602012,
        0.0601616,
        0.0600546,
        0.0638975,
        0.0653681,
        0.0616224,
        0.0611571,
        0.0607909,
        0.0606866,
        0.0608388,
        0.0608927,
        0.0675932,
        0.0733528,
        0.0712135,
        0.0693609,
        0.0629358,
        0.0627393,
        0.0613013,
        0.0611478,
        0.0605616,
        0.0612408,
        0.0614041,
        0.0613862,
        0.0611211,
        0.0609032,
        0.0615623,
        0.0621804,
        0.0621783,
        0.0613818,
        0.0709783,
        0.0712823,
        0.0619634,
        0.0621549,
        0.061411,
        0.0611225,
        0.0608263,
        0.0601859,
        0.0602412,
        0.0601982,
        0.0597726,
        0.0605564,
        0.0682754,
        0.0641548,
        0.0606307,
        0.0602365,
        0.0605516,
        0.0604753,
        0.059888,
        0.0603526,
        0.0699683,
        0.0718113,
        0.0608481,
        0.0608012,
        0.0614056,
        0.0609699,
        0.0609734,
        0.0635654,
        0.0622627,
        0.0626653,
        0.0630177,
        0.062696,
        0.0638077,
        0.0648715,
        0.0650183,
        0.064622,
        0.0653297,
        0.0657199,
        0.0669397,
        0.0685939,
        0.0704997,
        0.0719377,
        0.0740435,
        0.0769915,
        0.0819153,
        0.0865763,
        0.0878318,
        0.0861742,
        0.0822739,
        0.0785517,
        0.076106,
        0.0731353,
        0.071692,
        0.0708754,
        0.0701326,
        0.0677994,
        0.0674806,
        0.0678162,
        0.0665754,
        0.0665606,
        0.0670272,
        0.067228,
        0.0663742,
        0.0657218,
        0.0653798,
        0.0655701,
        0.0655243,
        0.0652765,
        0.0651692,
        0.0642369,
        0.0638837,
        0.0640387,
        0.0641717,
        0.0642838,
        0.0640713,
        0.0642148,
        0.0636452,
        0.0634315,
        0.0638163,
        0.0640094,
        0.0638018,
        0.0632973,
        0.0634382,
        0.0632037,
        0.0626264,
        0.0629955,
        0.0632846,
        0.0628067,
        0.0628386,
        0.0633921,
        0.0635256,
        0.0635479,
        0.0642583,
        0.0644955,
        0.064091,
        0.0635185,
        0.0645424,
        0.0660039,
        0.0648892,
        0.0642441,
        0.0648775,
        0.0644422,
        0.0644833,
        0.0645994,
        0.0642169,
        0.0704415,
        0.0760506,
        0.0646883,
        0.0657995,
        0.0655474,
        0.0650544,
        0.0652109,
        0.0658024,
        0.0662281,
        0.0660035,
        0.0666722,
        0.0675096,
        0.0680885,
        0.0671284,
        0.066816,
        0.068079,
        0.0685472,
        0.0688103,
        0.0674298,
        0.0669463,
        0.0681985,
        0.068292,
        0.0723431,
        0.072039,
        0.0674252,
        0.071949,
        0.0723121,
        0.0686001,
        0.0683154,
        0.0689688,
        0.069377,
        0.0685519,
        0.0682709,
        0.068433,
        0.0681977,
        0.0680265,
        0.0674025,
        0.0673831,
        0.0669533,
        0.0668273,
        0.067088,
        0.0668018,
        0.067398,
        0.0667282,
        0.066108,
        0.0664661,
        0.0669214,
        0.0670552,
        0.066522,
        0.0686221,
        0.0694251,
        0.0681569,
        0.0664884,
        0.0662631,
        0.0659676,
        0.0662738,
        0.0666081,
        0.0667576,
        0.0677174,
        0.0691719,
        0.0686204,
        0.0675477,
        0.0678199,
        0.0676319,
        0.0671807,
        0.0676784,
        0.0683237,
        0.0687295,
        0.0679117,
        0.0674649,
        0.0678976,
        0.0688131,
        0.0693864,
        0.0702375,
        0.0701676,
        0.0693488,
        0.0703843,
        0.0699477,
        0.0697691,
        0.070341,
        0.0716785,
        0.0718103,
        0.071328,
        0.0716254,
        0.0718206,
        0.0716425,
        0.0708724,
        0.0712909,
        0.0719352,
        0.0733649,
        0.0742464,
        0.0743599,
        0.0760573,
        0.0763039,
        0.0733112,
        0.0752883,
        0.0760952,
        0.0738563,
        0.0747998,
        0.0741997,
        0.0737336,
        0.0739725,
        0.0738492,
        0.0738299,
        0.0742565,
        0.0740652,
        0.0741663,
        0.0737214,
        0.073674,
        0.0737178,
        0.0737979,
        0.0751308,
        0.0802344,
        0.0784004,
        0.0743605,
        0.075073,
        0.0747752,
        0.0749076,
        0.0758153,
        0.0766017,
        0.0770255,
        0.0773192,
        0.0771782,
        0.0780897,
        0.0788013,
        0.0802913,
        0.0824498,
        0.0840568,
        0.0854034,
        0.0860426,
        0.0881336,
        0.0905137,
        0.0936937,
        0.096994,
        0.102552,
        0.10904,
        0.117468,
        0.128292,
        0.140693,
        0.160011,
        0.18794,
        0.219368,
        0.313501,
        0.316084,
        0.293163,
        0.270674,
        0.254318,
        0.235079,
        0.211022,
        0.182965,
        0.158982,
        0.139868,
        0.126774,
        0.116835,
        0.109292,
        0.105398,
        0.10086,
        0.0981355,
        0.0960754,
        0.094514,
        0.0936358,
        0.0919957,
        0.0913176,
        0.0902703,
        0.0891432,
        0.0876218,
        0.0873379,
        0.087996,
        0.0886658,
        0.0874747,
        0.0863952,
        0.0863958,
        0.0866966,
        0.0865749,
        0.0860235,
        0.0851346,
        0.0843093,
        0.0835848,
        0.0836288,
        0.0846638,
        0.0845204,
        0.0842222,
        0.0840677,
        0.0840583,
        0.0848146,
        0.0858586,
        0.0834184,
        0.0832755,
        0.0827345,
        0.0827938,
        0.08305,
        0.0832062,
        0.0826567,
        0.0830169,
        0.0833559,
        0.0876095,
        0.0878951,
        0.0838432,
        0.0823039,
        0.0913662,
        0.0923722,
        0.0830854,
        0.0819063,
        0.0821386,
        0.0829042,
        0.0833192,
        0.0828344,
        0.0833647,
        0.0839942,
        0.0842134,
        0.0844669,
        0.0843345,
        0.0847769,
        0.0853355,
        0.0847586,
        0.0852156,
        0.0865064,
        0.0867975,
        0.0855335,
        0.0859856,
        0.086769,
        0.0867032,
        0.0871637,
        0.087189,
        0.0871029,
        0.0876045,
        0.0879365,
        0.0873226,
        0.0865721,
        0.0870452,
        0.0891602,
        0.0907244,
        0.0908819,
        0.0897598,
        0.0896997,
        0.0905472,
        0.0910053,
        0.0908387,
        0.0991783,
        0.0976612,
        0.0907108,
        0.0905049,
        0.0904884,
        0.0904431,
        0.0907933,
        0.0912476,
        0.0997631,
        0.100699,
        0.0931093,
        0.0935669,
        0.0930598,
        0.0940696,
        0.113848,
        0.102625,
        0.0910466,
        0.0913352,
        0.0915913,
        0.0920091,
        0.091203,
        0.0919487,
        0.0928418,
        0.0915971,
        0.0916059,
        0.092236,
        0.0936429,
        0.0948221,
        0.095322,
        0.0959539,
        0.096444,
        0.0962748,
        0.096049,
        0.0966254,
        0.0968787,
        0.0986832,
        0.0991524,
        0.0993483,
        0.10199,
        0.102831,
        0.105164,
        0.10768,
        0.109964,
        0.113239,
        0.115433,
        0.117754,
        null,
        0.373647,
        0.368753,
        0.36426,
        0.34372,
        0.324452,
        0.334174,
        0.325318,
        0.333498,
        0.346698,
        0.345709,
        0.323303,
        0.302013,
        0.29809,
        0.298435,
        0.292858,
        0.293038,
        0.294585,
        0.296499,
        0.300458,
        0.293601,
        0.287391,
        0.284558,
        0.282345,
        0.283558,
        0.28239,
        0.280338,
        0.27298,
        0.264849,
        0.267233,
        0.265976,
        0.260825,
        0.257476,
        0.259768,
        0.263988,
        0.265784,
        0.258209,
        0.261002,
        0.268727,
        0.268447,
        0.26188,
        0.262816,
        0.272434,
        0.285166,
        0.307487,
        0.320221,
        0.359495,
        0.332675,
        0.305399,
        0.291328,
        0.282315,
        0.279988,
        0.265589,
        0.257386,
        0.255616,
        0.251202,
        0.248983,
        0.242771,
        0.238105,
        0.242758,
        0.245809,
        0.241316,
        0.23448,
        0.234479,
        0.230807,
        0.231518,
        0.229881,
        0.229679,
        0.234126,
        0.26041,
        0.247645,
        0.232877,
        0.229318,
        0.22883,
        0.229465,
        0.230749,
        0.22378,
        0.221364,
        0.225802,
        0.226628,
        0.222755,
        0.220928,
        0.219977,
        0.2211,
        0.222486,
        0.221431,
        0.221989,
        0.225224,
        0.226427,
        0.228091,
        0.227402,
        0.223489,
        0.225957,
        0.234201,
        0.22556,
        0.220217,
        0.225225,
        0.22755,
        0.227877,
        0.23111,
        0.231566,
        0.234552,
        0.232507,
        0.232493,
        0.235647,
        0.236283,
        0.235455,
        0.234128,
        0.235639,
        0.236303,
        0.237622,
        0.238778,
        0.246144,
        0.244705,
        0.246438,
        0.25243,
        0.252431,
        0.259162,
        0.270355,
        0.271643,
        0.278812,
        0.282091,
        0.28469,
        0.286884,
        0.294031,
        0.306902,
        0.32085,
        0.331977,
        0.348984,
        0.346488,
        0.33065,
        0.365136,
        0.350976,
        0.329309,
        0.3305,
        0.337691,
        0.402731,
        0.327338,
        0.329123,
        0.362667,
        0.39439,
        null,
        0.48213,
        0.428291,
        0.414263,
        0.422984,
        0.393006,
        0.400374,
        0.397571,
        0.38932,
        0.37738,
        0.364266,
        0.344906,
        0.357448,
        0.351058,
        0.347522,
        0.339285,
        0.334877,
        0.330254,
        0.33633,
        0.335414,
        0.316431,
        0.314652,
        0.310947,
        0.31787,
        0.313878,
        0.304411,
        0.297598,
        0.292099,
        0.293911,
        0.29605,
        0.293296,
        0.297083,
        0.294798,
        0.287032,
        0.286784,
        0.282375,
        0.277579,
        0.276755,
        0.27362,
        0.279262,
        0.277586,
        0.27185,
        0.297344,
        0.28752,
        0.257977,
        0.258643,
        0.256026,
        0.25397,
        0.257229,
        0.257524,
        0.248232,
        0.241681,
        0.24415,
        0.245098,
        0.241241,
        0.276659,
        0.250771,
        0.248271,
        0.242358,
        0.237471,
        0.23597,
        0.236288,
        0.236612,
        0.23498,
        0.258521,
        0.267119,
        0.224298,
        0.22502,
        0.220987,
        0.210352,
        0.207897,
        0.210813,
        0.212274,
        0.212656,
        0.214644,
        0.215424,
        0.211456,
        0.211232,
        0.211477,
        0.214554,
        0.209755,
        0.206187,
        0.207668,
        0.208852,
        0.21048,
        0.21321,
        0.21281,
        0.215548,
        0.218496,
        0.224052,
        0.228059,
        0.237631,
        0.25082,
        0.286251,
        0.318437,
        0.294435,
        0.266753,
        0.252324,
        0.233865,
        0.219594,
        0.211217,
        0.207123,
        0.202228,
        0.199659,
        0.195214,
        0.189327,
        0.186169,
        0.186809,
        0.184666,
        0.184695,
        0.184729,
        0.180382,
        0.178548,
        0.176695,
        0.175091,
        0.178725,
        0.177256,
        0.176123,
        0.181058,
        0.188741,
        0.204035,
        0.226687,
        0.264963,
        0.303727,
        0.311325,
        0.285631,
        0.251101,
        0.227353,
        0.222341,
        0.241986,
        0.291029,
        0.41196,
        0.300575,
        0.226117,
        0.213376,
        0.21006,
        0.173358,
        0.166132,
        0.161697,
        0.160257,
        0.159452,
        0.155947,
        0.151672,
        0.152034,
        0.152223,
        0.150847,
        0.151577,
        0.151768,
        0.151153,
        0.150161,
        0.14808,
        0.145101,
        0.143448,
        0.144413,
        0.145203,
        0.143118,
        0.143451,
        0.145515,
        0.148194,
        0.148221,
        0.145588,
        0.144427,
        0.143117,
        0.144029,
        0.1451,
        0.143597,
        0.142221,
        0.142812,
        0.142672,
        0.142948,
        0.144704,
        0.163444,
        0.163522,
        0.14548,
        0.14355,
        0.143926,
        0.145336,
        0.146552,
        0.147353,
        0.146035,
        0.144433,
        0.145033,
        0.14502,
        0.14399,
        0.143809,
        0.142333,
        0.144448,
        0.145589,
        0.145825,
        0.147859,
        0.148392,
        0.148409,
        0.1525,
        0.157349,
        0.16365,
        0.171122,
        0.181872,
        0.186778,
        0.202575,
        0.231847,
        0.262105,
        0.304541,
        0.31517,
        0.259962,
        0.231478,
        0.212391,
        0.193395,
        0.178135,
        0.172129,
        0.165792,
        0.161074,
        0.156626,
        0.154336,
        0.163052,
        0.166158,
        0.149548,
        0.140855,
        0.140102,
        0.157059,
        0.156277,
        0.137724,
        0.13757,
        0.137176,
        0.138448,
        0.139348,
        0.137446,
        0.136387,
        0.134993,
        0.133757,
        0.133365,
        0.135974,
        0.1502,
        0.141504,
        0.136887,
        0.137141,
        0.135546,
        0.133656,
        0.134098,
        0.135551,
        0.137046,
        0.134341,
        0.134747,
        0.136449,
        0.142842,
        0.144257,
        0.138355,
        0.13823,
        0.139353,
        0.14567,
        0.145146,
        0.147795,
        0.151698,
        0.1553,
        0.157214,
        0.165851,
        0.174553,
        0.1785,
        0.185322,
        0.202141,
        0.22929,
        0.278347,
        0.345285,
        0.258883,
        0.237483,
        0.216983,
        0.197015,
        0.183739,
        0.178947,
        0.170379,
        0.160909,
        0.157321,
        0.15283,
        0.148757,
        0.144169,
        0.141512,
        0.140466,
        0.138506,
        0.133478,
        0.132285,
        0.131682,
        0.130771,
        0.128456,
        0.126256,
        0.12647,
        0.123715,
        0.124646,
        0.124627,
        0.123197,
        0.122506,
        0.12123,
        0.120236,
        0.119205,
        0.118151,
        0.11978,
        0.120952,
        0.118429,
        0.116489,
        0.115593,
        0.115854,
        0.11622,
        0.115292,
        0.115223,
        0.115417,
        0.115616,
        0.114899,
        0.114074,
        0.113636,
        0.113607,
        0.112523,
        0.113587,
        0.117703,
        0.115641,
        0.112802,
        0.114171,
        0.113451,
        0.113954,
        0.11473,
        0.1154,
        0.116516,
        0.132462,
        0.132257,
        0.115306,
        0.114396,
        0.11683,
        0.117318,
        0.117404,
        0.117464,
        0.117292,
        0.118687,
        0.11748,
        0.115436,
        0.11836,
        0.119008,
        0.116825,
        0.117454,
        0.1188,
        0.119124,
        0.119629,
        0.117679,
        0.117622,
        0.119098,
        0.118308,
        0.1179,
        0.119549,
        0.11866,
        0.118127,
        0.117949,
        0.118105,
        0.117151,
        0.117074,
        0.117638,
        0.115609,
        0.115864,
        0.115246,
        0.11605,
        0.117281,
        0.116268,
        0.116294,
        0.117855,
        0.118154,
        0.118304,
        0.118128,
        0.118435,
        0.117771,
        0.115679,
        0.115102,
        0.114616,
        0.115259,
        0.116895,
        0.121464,
        0.121376,
        0.116438,
        0.116993,
        0.117066,
        0.116981,
        0.116466,
        0.115953,
        0.116117,
        0.116572,
        0.116087,
        0.117711,
        0.119331,
        0.118081,
        0.117286,
        0.120324,
        0.123614,
        0.1208,
        0.122402,
        0.122396,
        0.12246,
        0.121276,
        0.12165,
        0.123023,
        0.12372,
        0.124658,
        0.124902,
        0.127339,
        0.141791,
        0.151961,
        0.127367,
        0.125926,
        0.126793,
        0.129255,
        0.129716,
        0.130303,
        0.132255,
        0.131968,
        0.133636,
        0.150102,
        0.150612,
        0.135059,
        0.136645,
        0.13703,
        0.138405,
        0.139243,
        0.140808,
        0.144943,
        0.148461,
        0.14794,
        0.16132,
        0.171842,
        0.168661,
        0.174269,
        0.183622,
        0.197078,
        0.212767,
        0.232133,
        0.258507,
        0.297501,
        0.351429,
        0.291886,
        0.254242,
        0.227823,
        0.204039,
        0.199288,
        0.197344,
        0.180783,
        0.166662,
        0.158928,
        0.155617,
        0.154781,
        0.152448,
        0.150126,
        0.145802,
        0.142288,
        0.140861,
        0.140453,
        0.142154,
        0.143718,
        0.142129,
        0.140047,
        0.140322,
        0.140301,
        0.140886,
        0.146763,
        0.145601,
        0.14138,
        0.140573,
        0.142676,
        0.142881,
        0.140667,
        0.141006,
        0.141523,
        0.141338,
        0.14034,
        0.140794,
        0.141303,
        0.141015,
        0.142644,
        0.14279,
        0.143147,
        0.140874,
        0.142193,
        0.142709,
        0.143009,
        0.142652,
        0.143344,
        0.161276,
        0.161374,
        0.144147,
        0.14323,
        0.143212,
        0.141494,
        0.142318,
        0.146569,
        0.146294,
        0.146625,
        0.146572,
        0.147546,
        0.149898,
        0.148954,
        0.149344,
        0.151577,
        0.154303,
        0.157506,
        0.158068,
        0.15736,
        0.160876,
        0.163605,
        0.170186,
        0.178277,
        0.180373,
        0.181411,
        0.190053,
        0.204786,
        0.215008,
        0.223857,
        0.234525,
        0.249509,
        0.258948,
        0.281646,
        0.253498,
        0.246014,
        0.232341,
        0.219959,
        0.214173,
        0.211033,
        0.205744,
        0.197978,
        0.194096,
        0.189943,
        0.189336,
        0.187905,
        0.188099,
        0.192374,
        0.187805,
        0.183499,
        0.183224,
        0.181113,
        0.181648,
        0.185696,
        0.184468,
        0.181701,
        0.181107,
        0.179256,
        0.184083,
        0.186916,
        0.186466,
        0.186129,
        0.186323,
        0.187299,
        0.190434,
        0.189477,
        0.187667,
        0.186446,
        0.187185,
        0.187874,
        0.18466,
        0.188567,
        0.189906,
        0.190632,
        0.189598,
        0.188383,
        0.193037,
        0.196802,
        0.20048,
        0.197371,
        0.199816,
        0.199113,
        0.198542,
        0.199639,
        0.199407,
        0.202617,
        0.204381,
        0.200019,
        0.197838,
        0.2017,
        0.20678,
        0.207796,
        0.208779,
        0.214682,
        0.216969,
        0.212817,
        0.211369,
        0.21186,
        0.214006,
        0.215871,
        0.219241,
        0.221979,
        0.226876,
        0.23331,
        0.233497,
        0.230395,
        0.23235,
        0.237902,
        0.242776,
        0.247176,
        0.247233,
        0.253359,
        0.247828,
        0.244042,
        0.257214,
        0.268307,
        0.268976,
        0.268281,
        0.274664,
        0.28573,
        0.284977,
        0.281458,
        0.285196,
        0.293995,
        0.309091,
        0.310662,
        0.31245,
        0.32142,
        0.315983,
        0.318964,
        0.325342,
        0.341488,
        0.366584,
        0.376023
    ]
}